TSTP Solution File: ALG145+1 by Princess---230619

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : ALG145+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 16:37:32 EDT 2023

% Result   : Unsatisfiable 25.63s 4.19s
% Output   : Proof 186.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : ALG145+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 04:43:01 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.61  ________       _____
% 0.19/0.61  ___  __ \_________(_)________________________________
% 0.19/0.61  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.19/0.61  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.19/0.61  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61  
% 0.19/0.61  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.61  (2023-06-19)
% 0.19/0.61  
% 0.19/0.61  (c) Philipp Rümmer, 2009-2023
% 0.19/0.61  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.61                Amanda Stjerna.
% 0.19/0.61  Free software under BSD-3-Clause.
% 0.19/0.61  
% 0.19/0.61  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.61  
% 0.19/0.62  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.63  Running up to 7 provers in parallel.
% 0.19/0.64  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.64  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.64  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.64  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.64  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.64  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.64  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 5.04/1.47  Prover 4: Preprocessing ...
% 5.04/1.47  Prover 1: Preprocessing ...
% 5.61/1.51  Prover 0: Preprocessing ...
% 5.61/1.51  Prover 3: Preprocessing ...
% 5.61/1.51  Prover 6: Preprocessing ...
% 5.61/1.51  Prover 2: Preprocessing ...
% 5.61/1.51  Prover 5: Preprocessing ...
% 8.82/1.97  Prover 2: Constructing countermodel ...
% 8.82/1.97  Prover 3: Constructing countermodel ...
% 8.82/1.98  Prover 0: Constructing countermodel ...
% 8.82/1.98  Prover 6: Constructing countermodel ...
% 8.82/1.98  Prover 4: Constructing countermodel ...
% 8.82/1.99  Prover 1: Constructing countermodel ...
% 11.40/2.29  Prover 5: Constructing countermodel ...
% 25.63/4.18  Prover 6: proved (3541ms)
% 25.63/4.18  
% 25.63/4.19  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.63/4.19  
% 25.63/4.19  Prover 3: stopped
% 25.63/4.19  Prover 5: stopped
% 25.63/4.19  Prover 2: stopped
% 25.63/4.19  Prover 0: stopped
% 25.63/4.19  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 25.63/4.19  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 25.63/4.19  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 25.63/4.19  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 25.63/4.19  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 27.52/4.46  Prover 10: Preprocessing ...
% 27.52/4.46  Prover 8: Preprocessing ...
% 28.09/4.53  Prover 11: Preprocessing ...
% 28.09/4.55  Prover 7: Preprocessing ...
% 28.09/4.57  Prover 13: Preprocessing ...
% 28.67/4.65  Prover 8: Constructing countermodel ...
% 29.62/4.73  Prover 7: Constructing countermodel ...
% 29.62/4.73  Prover 10: Constructing countermodel ...
% 29.62/4.76  Prover 11: Constructing countermodel ...
% 29.62/4.78  Prover 13: Constructing countermodel ...
% 66.54/9.56  Prover 13: stopped
% 67.18/9.58  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 67.91/9.73  Prover 16: Preprocessing ...
% 69.27/9.90  Prover 16: Constructing countermodel ...
% 111.58/15.42  Prover 16: stopped
% 111.58/15.42  Prover 19: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 112.55/15.53  Prover 19: Preprocessing ...
% 112.84/15.62  Prover 19: Constructing countermodel ...
% 115.92/15.99  Prover 1: stopped
% 138.48/19.18  Prover 19: stopped
% 169.48/24.57  Prover 10: Found proof (size 838108)
% 169.48/24.57  Prover 10: proved (20378ms)
% 169.48/24.57  Prover 7: stopped
% 169.48/24.57  Prover 11: stopped
% 169.48/24.57  Prover 4: stopped
% 169.48/24.57  Prover 8: stopped
% 169.48/24.57  
% 169.48/24.57  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 169.48/24.57  
% 171.92/25.29  % SZS output start Proof for theBenchmark
% 172.09/25.44  Assumptions after simplification:
% 172.09/25.44  ---------------------------------
% 172.09/25.44  
% 172.09/25.44    (ax1)
% 172.09/25.49    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : 
% 172.09/25.49    ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8:
% 172.09/25.49      $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13:
% 172.09/25.49      $i] :  ? [v14: $i] :  ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 &
% 172.09/25.49      op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 &
% 172.09/25.49      op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 &
% 172.09/25.49      op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 172.09/25.49      op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 172.09/25.49      $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 172.09/25.49      $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 =
% 172.09/25.49        e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e3 | v13 = e2 |
% 172.09/25.49        v13 = e1 | v13 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11
% 172.09/25.49        = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 |
% 172.09/25.49        v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 |
% 172.09/25.49        v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 |
% 172.09/25.49        v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 172.09/25.49      (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3
% 172.09/25.49        = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1
% 172.09/25.49        = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 172.09/25.49  
% 172.09/25.49    (ax10)
% 172.09/25.50    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.50    (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e2, e2) = v2 &
% 172.09/25.50          $i(v2)) | ( ~ (v1 = e0) & op(e2, e1) = v1 & $i(v1))))
% 172.09/25.50  
% 172.09/25.50    (ax11)
% 172.09/25.50    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.50    (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e1, e1) = v2 &
% 172.09/25.50          $i(v2)) | ( ~ (v1 = e0) & op(e1, e2) = v1 & $i(v1))))
% 172.09/25.50  
% 172.09/25.50    (ax12)
% 172.09/25.50    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.50    (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e3, e3) = v2 &
% 172.09/25.50          $i(v2)) | ( ~ (v1 = e1) & op(e3, e2) = v1 & $i(v1))))
% 172.09/25.50  
% 172.09/25.50    (ax13)
% 172.09/25.51    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.51    (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e2, e2) = v2 &
% 172.09/25.51          $i(v2)) | ( ~ (v1 = e1) & op(e2, e3) = v1 & $i(v1))))
% 172.09/25.51  
% 172.09/25.51    (ax14)
% 172.09/25.51    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.51    (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e3, e3) = v2 &
% 172.09/25.51          $i(v2)) | ( ~ (v1 = e1) & op(e3, e0) = v1 & $i(v1))))
% 172.09/25.51  
% 172.09/25.51    (ax15)
% 172.09/25.51    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.51    (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e0, e0) = v2 &
% 172.09/25.51          $i(v2)) | ( ~ (v1 = e1) & op(e0, e3) = v1 & $i(v1))))
% 172.09/25.51  
% 172.09/25.51    (ax16)
% 172.09/25.51    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.51    (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e2, e2) = v2 &
% 172.09/25.51          $i(v2)) | ( ~ (v1 = e1) & op(e2, e0) = v1 & $i(v1))))
% 172.09/25.51  
% 172.09/25.51    (ax17)
% 172.09/25.51    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.51    (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e0, e0) = v2 &
% 172.09/25.51          $i(v2)) | ( ~ (v1 = e1) & op(e0, e2) = v1 & $i(v1))))
% 172.09/25.51  
% 172.09/25.51    (ax18)
% 172.09/25.52    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.52    (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e3, e3) = v2 &
% 172.09/25.52          $i(v2)) | ( ~ (v1 = e2) & op(e3, e1) = v1 & $i(v1))))
% 172.09/25.52  
% 172.09/25.52    (ax19)
% 172.09/25.52    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.52    (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e1, e1) = v2 &
% 172.09/25.52          $i(v2)) | ( ~ (v1 = e2) & op(e1, e3) = v1 & $i(v1))))
% 172.09/25.52  
% 172.09/25.52    (ax2)
% 172.09/25.56    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : 
% 172.09/25.56    ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8:
% 172.09/25.56      $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13:
% 172.09/25.56      $i] :  ? [v14: $i] :  ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 =
% 172.09/25.56          e3 & op(e3, e2) = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3,
% 172.09/25.56            e0) = e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 172.09/25.56          e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3)) & ((v15
% 172.09/25.56          = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11 = e2 &
% 172.09/25.56          op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 = e2 & op(e3,
% 172.09/25.56            e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 & op(e1, e3) = e2)
% 172.09/25.56        | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 & op(e3, e3) = e1) | (v14 = e1
% 172.09/25.56          & op(e3, e2) = e1) | (v11 = e1 & op(e3, e1) = e1) | (v6 = e1 & op(e3,
% 172.09/25.56            e0) = e1)) & ((v15 = e1 & op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) =
% 172.09/25.56          e1) | (v9 = e1 & op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15
% 172.09/25.56          = e0 & op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 172.09/25.56          op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 & op(e3,
% 172.09/25.56            e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 & op(e1, e3) = e0)
% 172.09/25.56        | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 & op(e3, e2) = e3) | (v12 = e3
% 172.09/25.56          & op(e2, e2) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v2 = e3 & op(e0, e2)
% 172.09/25.56          = e3)) & ((v14 = e2 & op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 172.09/25.56        (v8 = e2 & op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 172.09/25.56          op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 & op(e1, e2)
% 172.09/25.56          = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 & op(e3, e2) = e0) |
% 172.09/25.56        (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v2 = e0 &
% 172.09/25.56          op(e0, e2) = e0)) & ((v13 = e3 & op(e2, e3) = e3) | (v12 = e3 & op(e2,
% 172.09/25.56            e2) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) =
% 172.09/25.56          e3)) & ((v13 = e2 & op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 172.09/25.56        (v10 = e2 & op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 172.09/25.56          op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 & op(e2, e1)
% 172.09/25.56          = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 & op(e2, e3) = e0) |
% 172.09/25.56        (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v5 = e0 &
% 172.09/25.56          op(e2, e0) = e0)) & ((v11 = e3 & op(e3, e1) = e3) | (v10 = e3 & op(e2,
% 172.09/25.56            e1) = e3) | (v7 = e3 & op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3))
% 172.09/25.56      & ((v11 = e2 & op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 172.09/25.56          op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 & op(e3,
% 172.09/25.56            e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 & op(e1, e1) = e1)
% 172.09/25.56        | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 & op(e3, e1) = e0) | (v10 = e0
% 172.09/25.56          & op(e2, e1) = e0) | (v7 = e0 & op(e1, e1) = e0) | (v1 = e0 & op(e0, e1)
% 172.09/25.56          = e0)) & ((v9 = e3 & op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) |
% 172.09/25.56        (v7 = e3 & op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 172.09/25.56          op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 & op(e1, e1) =
% 172.09/25.56          e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 & op(e1, e3) = e1) | (v8
% 172.09/25.56          = e1 & op(e1, e2) = e1) | (v7 = e1 & op(e1, e1) = e1) | (v4 = e1 &
% 172.09/25.56          op(e1, e0) = e1)) & ((v9 = e0 & op(e1, e3) = e0) | (v8 = e0 & op(e1, e2)
% 172.09/25.56          = e0) | (v7 = e0 & op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) &
% 172.09/25.56      ((v6 = e3 & op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 172.09/25.56          op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 & op(e3, e0)
% 172.09/25.56          = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 & op(e1, e0) = e2) | (v0
% 172.09/25.56          = e2 & op(e0, e0) = e2)) & ((v6 = e1 & op(e3, e0) = e1) | (v5 = e1 &
% 172.09/25.56          op(e2, e0) = e1) | (v4 = e1 & op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) =
% 172.09/25.56          e1)) & ((v3 = e3 & op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1
% 172.09/25.56          = e3 & op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 172.09/25.56          op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 & op(e0, e1) =
% 172.09/25.56          e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 & op(e0, e3) = e1) | (v2
% 172.09/25.56          = e1 & op(e0, e2) = e1) | (v1 = e1 & op(e0, e1) = e1) | (v0 = e1 &
% 172.09/25.56          op(e0, e0) = e1)) & ((v0 = e0 & op(e0, e0) = e0) | (((v6 = e0 & op(e3,
% 172.09/25.56                e0) = e0) | (v5 = e0 & op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) =
% 172.09/25.56              e0)) & ((v3 = e0 & op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) |
% 172.09/25.56            (v1 = e0 & op(e0, e1) = e0)))))
% 172.09/25.56  
% 172.09/25.56    (ax20)
% 172.09/25.56    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.56    (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e3, e3) = v2 &
% 172.09/25.56          $i(v2)) | ( ~ (v1 = e2) & op(e3, e0) = v1 & $i(v1))))
% 172.09/25.56  
% 172.09/25.56    (ax21)
% 172.09/25.57    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.57    (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e0, e0) = v2 &
% 172.09/25.57          $i(v2)) | ( ~ (v1 = e2) & op(e0, e3) = v1 & $i(v1))))
% 172.09/25.57  
% 172.09/25.57    (ax22)
% 172.09/25.57    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.57    (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e1, e1) = v2 &
% 172.09/25.57          $i(v2)) | ( ~ (v1 = e2) & op(e1, e0) = v1 & $i(v1))))
% 172.09/25.57  
% 172.09/25.57    (ax23)
% 172.09/25.57    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.57    (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e0, e0) = v2 &
% 172.09/25.57          $i(v2)) | ( ~ (v1 = e2) & op(e0, e1) = v1 & $i(v1))))
% 172.09/25.57  
% 172.09/25.57    (ax24)
% 172.09/25.57    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.57    (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e2, e2) = v2 &
% 172.09/25.57          $i(v2)) | ( ~ (v1 = e3) & op(e2, e1) = v1 & $i(v1))))
% 172.09/25.57  
% 172.09/25.57    (ax25)
% 172.09/25.57    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.57    (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e1, e1) = v2 &
% 172.09/25.57          $i(v2)) | ( ~ (v1 = e3) & op(e1, e2) = v1 & $i(v1))))
% 172.09/25.57  
% 172.09/25.57    (ax26)
% 172.09/25.58    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.58    (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e2, e2) = v2 &
% 172.09/25.58          $i(v2)) | ( ~ (v1 = e3) & op(e2, e0) = v1 & $i(v1))))
% 172.09/25.58  
% 172.09/25.58    (ax27)
% 172.09/25.58    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.58    (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e0, e0) = v2 &
% 172.09/25.58          $i(v2)) | ( ~ (v1 = e3) & op(e0, e2) = v1 & $i(v1))))
% 172.09/25.58  
% 172.09/25.58    (ax28)
% 172.09/25.58    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.58    (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e1, e1) = v2 &
% 172.09/25.58          $i(v2)) | ( ~ (v1 = e3) & op(e1, e0) = v1 & $i(v1))))
% 172.09/25.58  
% 172.09/25.58    (ax29)
% 172.09/25.58    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.09/25.58    (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e0, e0) = v2 &
% 172.09/25.58          $i(v2)) | ( ~ (v1 = e3) & op(e0, e1) = v1 & $i(v1))))
% 172.09/25.58  
% 172.09/25.58    (ax3)
% 172.09/25.59    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : 
% 172.09/25.59    ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8:
% 172.09/25.59      $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13:
% 172.09/25.59      $i] :  ? [v14: $i] :  ? [v15: $i] : ( ~ (v15 = v14) &  ~ (v15 = v13) &  ~
% 172.09/25.59      (v15 = v12) &  ~ (v15 = v11) &  ~ (v15 = v7) &  ~ (v15 = v3) &  ~ (v14 =
% 172.09/25.59        v13) &  ~ (v14 = v12) &  ~ (v14 = v10) &  ~ (v14 = v6) &  ~ (v14 = v2) & 
% 172.09/25.59      ~ (v13 = v12) &  ~ (v13 = v9) &  ~ (v13 = v5) &  ~ (v13 = v1) &  ~ (v12 =
% 172.09/25.59        v8) &  ~ (v12 = v4) &  ~ (v12 = v0) &  ~ (v11 = v10) &  ~ (v11 = v9) &  ~
% 172.09/25.59      (v11 = v8) &  ~ (v11 = v7) &  ~ (v11 = v3) &  ~ (v10 = v9) &  ~ (v10 = v8) &
% 172.09/25.59       ~ (v10 = v6) &  ~ (v10 = v2) &  ~ (v9 = v8) &  ~ (v9 = v5) &  ~ (v9 = v1) &
% 172.09/25.59       ~ (v8 = v4) &  ~ (v8 = v0) &  ~ (v7 = v6) &  ~ (v7 = v5) &  ~ (v7 = v4) & 
% 172.09/25.59      ~ (v7 = v3) &  ~ (v6 = v5) &  ~ (v6 = v4) &  ~ (v6 = v2) &  ~ (v5 = v4) &  ~
% 172.09/25.59      (v5 = v1) &  ~ (v4 = v0) &  ~ (v3 = v2) &  ~ (v3 = v1) &  ~ (v3 = v0) &  ~
% 172.09/25.59      (v2 = v1) &  ~ (v2 = v0) &  ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) =
% 172.09/25.59      v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) =
% 172.09/25.59      v10 & op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) = v9
% 172.09/25.59      & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0, e2) = v8 &
% 172.09/25.59      op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 172.09/25.59      $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 172.09/25.59      $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 172.09/25.59  
% 172.09/25.59    (ax4)
% 172.09/25.59     ~ (e3 = e2) &  ~ (e3 = e1) &  ~ (e3 = e0) &  ~ (e2 = e1) &  ~ (e2 = e0) &  ~
% 172.09/25.59    (e1 = e0) & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 172.09/25.59  
% 172.09/25.59    (ax5)
% 172.92/25.62    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : 
% 172.92/25.62    ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8:
% 172.92/25.62      $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13:
% 172.92/25.62      $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18:
% 172.92/25.62      $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23:
% 172.92/25.62      $i] :  ? [v24: $i] :  ? [v25: $i] :  ? [v26: $i] :  ? [v27: $i] :  ? [v28:
% 172.92/25.62      $i] :  ? [v29: $i] :  ? [v30: $i] :  ? [v31: $i] : (((v30 = v3 & v15 = e3 &
% 172.92/25.62          v12 = e3 &  ~ (v31 = e3) &  ~ (v29 = e1) &  ~ (v28 = e0) &  ~ (v3 = e2)
% 172.92/25.62          & op(e3, v14) = v29 & op(e3, v13) = v28 & op(e3, v3) = v31 & op(e3, e3)
% 172.92/25.62          = v3 & op(e3, e2) = e3 & op(e3, e1) = v14 & op(e3, e0) = v13 & op(e2,
% 172.92/25.62            e3) = e3 & $i(v31) & $i(v29) & $i(v28) & $i(v14) & $i(v13) & $i(v3)) |
% 172.92/25.62        (v29 = v3 & v14 = e3 & v9 = e3 &  ~ (v31 = e3) &  ~ (v30 = e2) &  ~ (v28 =
% 172.92/25.62            e0) &  ~ (v3 = e1) & op(e3, v15) = v30 & op(e3, v13) = v28 & op(e3,
% 172.92/25.62            v3) = v31 & op(e3, e3) = v3 & op(e3, e2) = v15 & op(e3, e1) = e3 &
% 172.92/25.62          op(e3, e0) = v13 & op(e1, e3) = e3 & $i(v31) & $i(v30) & $i(v28) &
% 172.92/25.62          $i(v15) & $i(v13) & $i(v3)) | (v28 = v3 & v13 = e3 & v6 = e3 &  ~ (v31 =
% 172.92/25.62            e3) &  ~ (v30 = e2) &  ~ (v29 = e1) &  ~ (v3 = e0) & op(e3, v15) = v30
% 172.92/25.62          & op(e3, v14) = v29 & op(e3, v3) = v31 & op(e3, e3) = v3 & op(e3, e2) =
% 172.92/25.62          v15 & op(e3, e1) = v14 & op(e3, e0) = e3 & op(e0, e3) = e3 & $i(v31) &
% 172.92/25.62          $i(v30) & $i(v29) & $i(v15) & $i(v14) & $i(v3)) | (v27 = v2 & v15 = e2 &
% 172.92/25.62          v12 = e2 &  ~ (v26 = e2) &  ~ (v25 = e1) &  ~ (v24 = e0) &  ~ (v2 = e3)
% 172.92/25.62          & op(e3, e2) = e2 & op(e2, v11) = v25 & op(e2, v10) = v24 & op(e2, v2) =
% 172.92/25.62          v26 & op(e2, e3) = e2 & op(e2, e2) = v2 & op(e2, e1) = v11 & op(e2, e0)
% 172.92/25.62          = v10 & $i(v26) & $i(v25) & $i(v24) & $i(v11) & $i(v10) & $i(v2)) | (v25
% 172.92/25.62          = v2 & v11 = e2 & v8 = e2 &  ~ (v27 = e3) &  ~ (v26 = e2) &  ~ (v24 =
% 172.92/25.62            e0) &  ~ (v2 = e1) & op(e2, v12) = v27 & op(e2, v10) = v24 & op(e2,
% 172.92/25.62            v2) = v26 & op(e2, e3) = v12 & op(e2, e2) = v2 & op(e2, e1) = e2 &
% 172.92/25.62          op(e2, e0) = v10 & op(e1, e2) = e2 & $i(v27) & $i(v26) & $i(v24) &
% 172.92/25.62          $i(v12) & $i(v10) & $i(v2)) | (v24 = v2 & v10 = e2 & v5 = e2 &  ~ (v27 =
% 172.92/25.62            e3) &  ~ (v26 = e2) &  ~ (v25 = e1) &  ~ (v2 = e0) & op(e2, v12) = v27
% 172.92/25.62          & op(e2, v11) = v25 & op(e2, v2) = v26 & op(e2, e3) = v12 & op(e2, e2) =
% 172.92/25.62          v2 & op(e2, e1) = v11 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(v27) &
% 172.92/25.62          $i(v26) & $i(v25) & $i(v12) & $i(v11) & $i(v2)) | (v23 = v1 & v14 = e1 &
% 172.92/25.62          v9 = e1 &  ~ (v22 = e2) &  ~ (v21 = e1) &  ~ (v20 = e0) &  ~ (v1 = e3) &
% 172.92/25.62          op(e3, e1) = e1 & op(e1, v8) = v22 & op(e1, v7) = v20 & op(e1, v1) = v21
% 172.92/25.62          & op(e1, e3) = e1 & op(e1, e2) = v8 & op(e1, e1) = v1 & op(e1, e0) = v7
% 172.92/25.62          & $i(v22) & $i(v21) & $i(v20) & $i(v8) & $i(v7) & $i(v1)) | (v22 = v1 &
% 172.92/25.62          v11 = e1 & v8 = e1 &  ~ (v23 = e3) &  ~ (v21 = e1) &  ~ (v20 = e0) &  ~
% 172.92/25.62          (v1 = e2) & op(e2, e1) = e1 & op(e1, v9) = v23 & op(e1, v7) = v20 &
% 172.92/25.62          op(e1, v1) = v21 & op(e1, e3) = v9 & op(e1, e2) = e1 & op(e1, e1) = v1 &
% 172.92/25.62          op(e1, e0) = v7 & $i(v23) & $i(v21) & $i(v20) & $i(v9) & $i(v7) &
% 172.92/25.62          $i(v1)) | (op(e0, e1) = v4 & $i(v4) & ((v20 = v1 & v7 = e1 & v4 = e1 & 
% 172.92/25.62              ~ (v23 = e3) &  ~ (v22 = e2) &  ~ (v21 = e1) &  ~ (v1 = e0) & op(e1,
% 172.92/25.62                v9) = v23 & op(e1, v8) = v22 & op(e1, v1) = v21 & op(e1, e3) = v9
% 172.92/25.62              & op(e1, e2) = v8 & op(e1, e1) = v1 & op(e1, e0) = e1 & $i(v23) &
% 172.92/25.62              $i(v22) & $i(v21) & $i(v9) & $i(v8) & $i(v1)) | ( ~ (v19 = e3) &  ~
% 172.92/25.62              (v18 = e2) &  ~ (v17 = e1) &  ~ (v16 = e0) & op(e0, v6) = v19 &
% 172.92/25.62              op(e0, v5) = v18 & op(e0, v4) = v17 & op(e0, v0) = v16 & op(e0, e3)
% 172.92/25.62              = v6 & op(e0, e2) = v5 & op(e0, e0) = v0 & $i(v19) & $i(v18) &
% 172.92/25.62              $i(v17) & $i(v16) & $i(v6) & $i(v5) & $i(v0) & (v0 = e0 | (v13 = e0
% 172.92/25.62                  & v6 = e0 & op(e3, e0) = e0) | (v10 = e0 & v5 = e0 & op(e2, e0)
% 172.92/25.62                  = e0) | (v7 = e0 & v4 = e0 & op(e1, e0) = e0)))))) & ((v3 = e3 &
% 172.92/25.62          op(e3, e3) = e3) | (v2 = e3 & op(e2, e2) = e3) | (v1 = e3 & op(e1, e1) =
% 172.92/25.62          e3) | (v0 = e3 & op(e0, e0) = e3) | ( ~ (v12 = e2) & op(e2, e3) = v12 &
% 172.92/25.62          $i(v12))) & ((v3 = e3 & op(e3, e3) = e3) | (v2 = e3 & op(e2, e2) = e3) |
% 172.92/25.62        (v1 = e3 & op(e1, e1) = e3) | (v0 = e3 & op(e0, e0) = e3) | ( ~ (v9 = e1)
% 172.92/25.62          & op(e1, e3) = v9 & $i(v9))) & ((v3 = e3 & op(e3, e3) = e3) | (v2 = e3 &
% 172.92/25.62          op(e2, e2) = e3) | (v1 = e3 & op(e1, e1) = e3) | (v0 = e3 & op(e0, e0) =
% 172.92/25.62          e3) | ( ~ (v6 = e0) & op(e0, e3) = v6 & $i(v6))) & ((v3 = e3 & op(e3,
% 172.92/25.62            e3) = e3) | (v2 = e3 & op(e2, e2) = e3) | (v1 = e3 & op(e1, e1) = e3)
% 172.92/25.62        | (v0 = e3 & op(e0, e0) = e3) | ( ~ (v3 = e3) & op(e3, e3) = v3 & $i(v3)))
% 172.92/25.62      & ((v3 = e2 & op(e3, e3) = e2) | (v2 = e2 & op(e2, e2) = e2) | (v1 = e2 &
% 172.92/25.62          op(e1, e1) = e2) | (v0 = e2 & op(e0, e0) = e2) | ( ~ (v15 = e3) & op(e3,
% 172.92/25.62            e2) = v15 & $i(v15))) & ((v3 = e2 & op(e3, e3) = e2) | (v2 = e2 &
% 172.92/25.62          op(e2, e2) = e2) | (v1 = e2 & op(e1, e1) = e2) | (v0 = e2 & op(e0, e0) =
% 172.92/25.62          e2) | ( ~ (v8 = e1) & op(e1, e2) = v8 & $i(v8))) & ((v3 = e2 & op(e3,
% 172.92/25.62            e3) = e2) | (v2 = e2 & op(e2, e2) = e2) | (v1 = e2 & op(e1, e1) = e2)
% 172.92/25.62        | (v0 = e2 & op(e0, e0) = e2) | ( ~ (v5 = e0) & op(e0, e2) = v5 & $i(v5)))
% 172.92/25.62      & ((v3 = e2 & op(e3, e3) = e2) | (v2 = e2 & op(e2, e2) = e2) | (v1 = e2 &
% 172.92/25.62          op(e1, e1) = e2) | (v0 = e2 & op(e0, e0) = e2) | ( ~ (v2 = e2) & op(e2,
% 172.92/25.62            e2) = v2 & $i(v2))) & ((v3 = e1 & op(e3, e3) = e1) | (v2 = e1 & op(e2,
% 172.92/25.62            e2) = e1) | (v1 = e1 & op(e1, e1) = e1) | (v0 = e1 & op(e0, e0) = e1)
% 172.92/25.62        | ( ~ (v14 = e3) & op(e3, e1) = v14 & $i(v14))) & ((v3 = e1 & op(e3, e3) =
% 172.92/25.62          e1) | (v2 = e1 & op(e2, e2) = e1) | (v1 = e1 & op(e1, e1) = e1) | (v0 =
% 172.92/25.62          e1 & op(e0, e0) = e1) | ( ~ (v11 = e2) & op(e2, e1) = v11 & $i(v11))) &
% 172.92/25.62      ((v3 = e1 & op(e3, e3) = e1) | (v2 = e1 & op(e2, e2) = e1) | (v1 = e1 &
% 172.92/25.62          op(e1, e1) = e1) | (v0 = e1 & op(e0, e0) = e1) | ( ~ (v4 = e0) & op(e0,
% 172.92/25.62            e1) = v4 & $i(v4))) & ((v3 = e1 & op(e3, e3) = e1) | (v2 = e1 & op(e2,
% 172.92/25.62            e2) = e1) | (v1 = e1 & op(e1, e1) = e1) | (v0 = e1 & op(e0, e0) = e1)
% 172.92/25.62        | ( ~ (v1 = e1) & op(e1, e1) = v1 & $i(v1))) & ((v3 = e0 & op(e3, e3) =
% 172.92/25.62          e0) | (v2 = e0 & op(e2, e2) = e0) | (v1 = e0 & op(e1, e1) = e0) | (v0 =
% 172.92/25.62          e0 & op(e0, e0) = e0) | ( ~ (v13 = e3) & op(e3, e0) = v13 & $i(v13))) &
% 172.92/25.62      ((v3 = e0 & op(e3, e3) = e0) | (v2 = e0 & op(e2, e2) = e0) | (v1 = e0 &
% 172.92/25.62          op(e1, e1) = e0) | (v0 = e0 & op(e0, e0) = e0) | ( ~ (v10 = e2) & op(e2,
% 172.92/25.62            e0) = v10 & $i(v10))) & ((v3 = e0 & op(e3, e3) = e0) | (v2 = e0 &
% 172.92/25.62          op(e2, e2) = e0) | (v1 = e0 & op(e1, e1) = e0) | (v0 = e0 & op(e0, e0) =
% 172.92/25.62          e0) | ( ~ (v7 = e1) & op(e1, e0) = v7 & $i(v7))) & ((v3 = e0 & op(e3,
% 172.92/25.62            e3) = e0) | (v2 = e0 & op(e2, e2) = e0) | (v1 = e0 & op(e1, e1) = e0)
% 172.92/25.62        | (op(e0, e0) = v0 & $i(v0))))
% 172.92/25.62  
% 172.92/25.62    (ax6)
% 172.92/25.62    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.92/25.62    (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e3, e3) = v2 &
% 172.92/25.62          $i(v2)) | ( ~ (v1 = e0) & op(e3, e2) = v1 & $i(v1))))
% 172.92/25.62  
% 172.92/25.62    (ax7)
% 172.92/25.62    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.92/25.62    (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e2, e2) = v2 &
% 172.92/25.62          $i(v2)) | ( ~ (v1 = e0) & op(e2, e3) = v1 & $i(v1))))
% 172.92/25.62  
% 172.92/25.62    (ax8)
% 172.92/25.62    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.92/25.62    (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e3, e3) = v2 &
% 172.92/25.62          $i(v2)) | ( ~ (v1 = e0) & op(e3, e1) = v1 & $i(v1))))
% 172.92/25.62  
% 172.92/25.62    (ax9)
% 172.92/25.62    $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :
% 172.92/25.62    (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e1, e1) = v2 &
% 172.92/25.62          $i(v2)) | ( ~ (v1 = e0) & op(e1, e3) = v1 & $i(v1))))
% 172.92/25.62  
% 172.92/25.62    (function-axioms)
% 172.92/25.62     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (op(v3,
% 172.92/25.62          v2) = v1) |  ~ (op(v3, v2) = v0))
% 172.92/25.62  
% 172.92/25.62  Those formulas are unsatisfiable:
% 172.92/25.62  ---------------------------------
% 172.92/25.62  
% 172.92/25.62  Begin of proof
% 172.92/25.63  | 
% 172.92/25.63  | ALPHA: (ax1) implies:
% 173.02/25.63  |   (1)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 173.02/25.63  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ?
% 173.02/25.63  |        [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :
% 173.02/25.63  |         ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13
% 173.02/25.63  |          & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1)
% 173.02/25.63  |          = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1,
% 173.02/25.63  |            e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 173.02/25.63  |          op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) &
% 173.02/25.63  |          $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 173.02/25.63  |          $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15
% 173.02/25.63  |            = e2 | v15 = e1 | v15 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14
% 173.02/25.63  |            = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e3 |
% 173.02/25.63  |            v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 |
% 173.02/25.63  |            v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3
% 173.02/25.63  |            | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8
% 173.02/25.63  |            = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 | v6 =
% 173.02/25.63  |            e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 173.02/25.63  |          (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 =
% 173.02/25.63  |            e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3
% 173.02/25.63  |            | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0
% 173.02/25.63  |            = e0))
% 173.02/25.63  | 
% 173.02/25.63  | ALPHA: (ax2) implies:
% 173.02/25.65  |   (2)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 173.02/25.65  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ?
% 173.02/25.65  |        [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :
% 173.02/25.65  |         ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 = e3 & op(e3, e2)
% 173.02/25.65  |              = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3, e0) =
% 173.02/25.65  |              e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 173.02/25.65  |              e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3))
% 173.02/25.65  |          & ((v15 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11
% 173.02/25.65  |              = e2 & op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 =
% 173.02/25.65  |              e2 & op(e3, e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 &
% 173.02/25.65  |              op(e1, e3) = e2) | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 &
% 173.02/25.65  |              op(e3, e3) = e1) | (v14 = e1 & op(e3, e2) = e1) | (v11 = e1 &
% 173.02/25.65  |              op(e3, e1) = e1) | (v6 = e1 & op(e3, e0) = e1)) & ((v15 = e1 &
% 173.02/25.65  |              op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) = e1) | (v9 = e1 &
% 173.02/25.65  |              op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15 = e0 &
% 173.02/25.65  |              op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 173.02/25.65  |              op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 &
% 173.02/25.65  |              op(e3, e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 &
% 173.02/25.65  |              op(e1, e3) = e0) | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 &
% 173.02/25.65  |              op(e3, e2) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v8 = e3 &
% 173.02/25.65  |              op(e1, e2) = e3) | (v2 = e3 & op(e0, e2) = e3)) & ((v14 = e2 &
% 173.02/25.65  |              op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v8 = e2 &
% 173.02/25.65  |              op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 173.02/25.65  |              op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 &
% 173.02/25.65  |              op(e1, e2) = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 &
% 173.02/25.65  |              op(e3, e2) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 &
% 173.02/25.65  |              op(e1, e2) = e0) | (v2 = e0 & op(e0, e2) = e0)) & ((v13 = e3 &
% 173.02/25.65  |              op(e2, e3) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v10 = e3 &
% 173.02/25.65  |              op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) = e3)) & ((v13 = e2 &
% 173.02/25.65  |              op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v10 = e2 &
% 173.02/25.65  |              op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 173.02/25.65  |              op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 &
% 173.02/25.65  |              op(e2, e1) = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 &
% 173.02/25.65  |              op(e2, e3) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 &
% 173.02/25.65  |              op(e2, e1) = e0) | (v5 = e0 & op(e2, e0) = e0)) & ((v11 = e3 &
% 173.02/25.65  |              op(e3, e1) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v7 = e3 &
% 173.02/25.65  |              op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3)) & ((v11 = e2 &
% 173.02/25.65  |              op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 173.02/25.65  |              op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 &
% 173.02/25.65  |              op(e3, e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 &
% 173.02/25.65  |              op(e1, e1) = e1) | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 &
% 173.02/25.65  |              op(e3, e1) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v7 = e0 &
% 173.02/25.65  |              op(e1, e1) = e0) | (v1 = e0 & op(e0, e1) = e0)) & ((v9 = e3 &
% 173.02/25.65  |              op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v7 = e3 &
% 173.02/25.65  |              op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 173.02/25.65  |              op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 &
% 173.02/25.65  |              op(e1, e1) = e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 &
% 173.02/25.65  |              op(e1, e3) = e1) | (v8 = e1 & op(e1, e2) = e1) | (v7 = e1 &
% 173.02/25.65  |              op(e1, e1) = e1) | (v4 = e1 & op(e1, e0) = e1)) & ((v9 = e0 &
% 173.02/25.65  |              op(e1, e3) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v7 = e0 &
% 173.02/25.65  |              op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v6 = e3 &
% 173.02/25.65  |              op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 173.02/25.65  |              op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 &
% 173.02/25.65  |              op(e3, e0) = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 &
% 173.02/25.65  |              op(e1, e0) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v6 = e1 &
% 173.02/25.65  |              op(e3, e0) = e1) | (v5 = e1 & op(e2, e0) = e1) | (v4 = e1 &
% 173.02/25.65  |              op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v3 = e3 &
% 173.02/25.65  |              op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1 = e3 &
% 173.02/25.65  |              op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 173.02/25.65  |              op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 &
% 173.02/25.65  |              op(e0, e1) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 &
% 173.02/25.65  |              op(e0, e3) = e1) | (v2 = e1 & op(e0, e2) = e1) | (v1 = e1 &
% 173.02/25.65  |              op(e0, e1) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v0 = e0 &
% 173.02/25.65  |              op(e0, e0) = e0) | (((v6 = e0 & op(e3, e0) = e0) | (v5 = e0 &
% 173.02/25.65  |                  op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v3 = e0 &
% 173.02/25.65  |                  op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) | (v1 = e0 &
% 173.02/25.65  |                  op(e0, e1) = e0)))))
% 173.02/25.65  | 
% 173.02/25.65  | ALPHA: (ax3) implies:
% 173.02/25.66  |   (3)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 173.02/25.66  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ?
% 173.02/25.66  |        [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :
% 173.02/25.66  |         ? [v15: $i] : ( ~ (v15 = v14) &  ~ (v15 = v13) &  ~ (v15 = v12) &  ~
% 173.02/25.66  |          (v15 = v11) &  ~ (v15 = v7) &  ~ (v15 = v3) &  ~ (v14 = v13) &  ~
% 173.02/25.66  |          (v14 = v12) &  ~ (v14 = v10) &  ~ (v14 = v6) &  ~ (v14 = v2) &  ~
% 173.02/25.66  |          (v13 = v12) &  ~ (v13 = v9) &  ~ (v13 = v5) &  ~ (v13 = v1) &  ~ (v12
% 173.02/25.66  |            = v8) &  ~ (v12 = v4) &  ~ (v12 = v0) &  ~ (v11 = v10) &  ~ (v11 =
% 173.02/25.66  |            v9) &  ~ (v11 = v8) &  ~ (v11 = v7) &  ~ (v11 = v3) &  ~ (v10 = v9)
% 173.02/25.66  |          &  ~ (v10 = v8) &  ~ (v10 = v6) &  ~ (v10 = v2) &  ~ (v9 = v8) &  ~
% 173.02/25.66  |          (v9 = v5) &  ~ (v9 = v1) &  ~ (v8 = v4) &  ~ (v8 = v0) &  ~ (v7 = v6)
% 173.02/25.66  |          &  ~ (v7 = v5) &  ~ (v7 = v4) &  ~ (v7 = v3) &  ~ (v6 = v5) &  ~ (v6
% 173.02/25.66  |            = v4) &  ~ (v6 = v2) &  ~ (v5 = v4) &  ~ (v5 = v1) &  ~ (v4 = v0) &
% 173.02/25.66  |           ~ (v3 = v2) &  ~ (v3 = v1) &  ~ (v3 = v0) &  ~ (v2 = v1) &  ~ (v2 =
% 173.02/25.66  |            v0) &  ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) = v11 & op(e3,
% 173.02/25.66  |            e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) = v10 &
% 173.02/25.66  |          op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) =
% 173.02/25.66  |          v9 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0,
% 173.02/25.66  |            e2) = v8 & op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) &
% 173.02/25.66  |          $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 173.02/25.66  |          $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 173.02/25.66  | 
% 173.02/25.66  | ALPHA: (ax4) implies:
% 173.02/25.66  |   (4)   ~ (e1 = e0)
% 173.02/25.66  |   (5)   ~ (e2 = e0)
% 173.02/25.66  |   (6)   ~ (e2 = e1)
% 173.02/25.66  |   (7)   ~ (e3 = e0)
% 173.02/25.66  |   (8)   ~ (e3 = e1)
% 173.02/25.66  |   (9)   ~ (e3 = e2)
% 173.02/25.66  | 
% 173.02/25.66  | ALPHA: (ax5) implies:
% 173.02/25.68  |   (10)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 173.02/25.68  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 173.02/25.68  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 173.02/25.68  |           $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ?
% 173.02/25.68  |         [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i]
% 173.02/25.68  |         :  ? [v24: $i] :  ? [v25: $i] :  ? [v26: $i] :  ? [v27: $i] :  ? [v28:
% 173.02/25.68  |           $i] :  ? [v29: $i] :  ? [v30: $i] :  ? [v31: $i] : (((v30 = v3 & v15
% 173.02/25.68  |               = e3 & v12 = e3 &  ~ (v31 = e3) &  ~ (v29 = e1) &  ~ (v28 = e0)
% 173.02/25.68  |               &  ~ (v3 = e2) & op(e3, v14) = v29 & op(e3, v13) = v28 & op(e3,
% 173.02/25.68  |                 v3) = v31 & op(e3, e3) = v3 & op(e3, e2) = e3 & op(e3, e1) =
% 173.02/25.68  |               v14 & op(e3, e0) = v13 & op(e2, e3) = e3 & $i(v31) & $i(v29) &
% 173.02/25.68  |               $i(v28) & $i(v14) & $i(v13) & $i(v3)) | (v29 = v3 & v14 = e3 &
% 173.02/25.68  |               v9 = e3 &  ~ (v31 = e3) &  ~ (v30 = e2) &  ~ (v28 = e0) &  ~ (v3
% 173.02/25.68  |                 = e1) & op(e3, v15) = v30 & op(e3, v13) = v28 & op(e3, v3) =
% 173.02/25.68  |               v31 & op(e3, e3) = v3 & op(e3, e2) = v15 & op(e3, e1) = e3 &
% 173.02/25.68  |               op(e3, e0) = v13 & op(e1, e3) = e3 & $i(v31) & $i(v30) & $i(v28)
% 173.02/25.68  |               & $i(v15) & $i(v13) & $i(v3)) | (v28 = v3 & v13 = e3 & v6 = e3 &
% 173.02/25.68  |                ~ (v31 = e3) &  ~ (v30 = e2) &  ~ (v29 = e1) &  ~ (v3 = e0) &
% 173.02/25.68  |               op(e3, v15) = v30 & op(e3, v14) = v29 & op(e3, v3) = v31 &
% 173.02/25.68  |               op(e3, e3) = v3 & op(e3, e2) = v15 & op(e3, e1) = v14 & op(e3,
% 173.02/25.68  |                 e0) = e3 & op(e0, e3) = e3 & $i(v31) & $i(v30) & $i(v29) &
% 173.02/25.68  |               $i(v15) & $i(v14) & $i(v3)) | (v27 = v2 & v15 = e2 & v12 = e2 & 
% 173.02/25.68  |               ~ (v26 = e2) &  ~ (v25 = e1) &  ~ (v24 = e0) &  ~ (v2 = e3) &
% 173.02/25.68  |               op(e3, e2) = e2 & op(e2, v11) = v25 & op(e2, v10) = v24 & op(e2,
% 173.02/25.68  |                 v2) = v26 & op(e2, e3) = e2 & op(e2, e2) = v2 & op(e2, e1) =
% 173.02/25.68  |               v11 & op(e2, e0) = v10 & $i(v26) & $i(v25) & $i(v24) & $i(v11) &
% 173.02/25.68  |               $i(v10) & $i(v2)) | (v25 = v2 & v11 = e2 & v8 = e2 &  ~ (v27 =
% 173.02/25.68  |                 e3) &  ~ (v26 = e2) &  ~ (v24 = e0) &  ~ (v2 = e1) & op(e2,
% 173.02/25.68  |                 v12) = v27 & op(e2, v10) = v24 & op(e2, v2) = v26 & op(e2, e3)
% 173.02/25.68  |               = v12 & op(e2, e2) = v2 & op(e2, e1) = e2 & op(e2, e0) = v10 &
% 173.02/25.68  |               op(e1, e2) = e2 & $i(v27) & $i(v26) & $i(v24) & $i(v12) &
% 173.02/25.68  |               $i(v10) & $i(v2)) | (v24 = v2 & v10 = e2 & v5 = e2 &  ~ (v27 =
% 173.02/25.68  |                 e3) &  ~ (v26 = e2) &  ~ (v25 = e1) &  ~ (v2 = e0) & op(e2,
% 173.02/25.68  |                 v12) = v27 & op(e2, v11) = v25 & op(e2, v2) = v26 & op(e2, e3)
% 173.02/25.68  |               = v12 & op(e2, e2) = v2 & op(e2, e1) = v11 & op(e2, e0) = e2 &
% 173.02/25.68  |               op(e0, e2) = e2 & $i(v27) & $i(v26) & $i(v25) & $i(v12) &
% 173.02/25.68  |               $i(v11) & $i(v2)) | (v23 = v1 & v14 = e1 & v9 = e1 &  ~ (v22 =
% 173.02/25.68  |                 e2) &  ~ (v21 = e1) &  ~ (v20 = e0) &  ~ (v1 = e3) & op(e3,
% 173.02/25.68  |                 e1) = e1 & op(e1, v8) = v22 & op(e1, v7) = v20 & op(e1, v1) =
% 173.02/25.68  |               v21 & op(e1, e3) = e1 & op(e1, e2) = v8 & op(e1, e1) = v1 &
% 173.02/25.68  |               op(e1, e0) = v7 & $i(v22) & $i(v21) & $i(v20) & $i(v8) & $i(v7)
% 173.02/25.68  |               & $i(v1)) | (v22 = v1 & v11 = e1 & v8 = e1 &  ~ (v23 = e3) &  ~
% 173.02/25.68  |               (v21 = e1) &  ~ (v20 = e0) &  ~ (v1 = e2) & op(e2, e1) = e1 &
% 173.02/25.68  |               op(e1, v9) = v23 & op(e1, v7) = v20 & op(e1, v1) = v21 & op(e1,
% 173.02/25.68  |                 e3) = v9 & op(e1, e2) = e1 & op(e1, e1) = v1 & op(e1, e0) = v7
% 173.02/25.68  |               & $i(v23) & $i(v21) & $i(v20) & $i(v9) & $i(v7) & $i(v1)) |
% 173.02/25.68  |             (op(e0, e1) = v4 & $i(v4) & ((v20 = v1 & v7 = e1 & v4 = e1 &  ~
% 173.02/25.68  |                   (v23 = e3) &  ~ (v22 = e2) &  ~ (v21 = e1) &  ~ (v1 = e0) &
% 173.02/25.68  |                   op(e1, v9) = v23 & op(e1, v8) = v22 & op(e1, v1) = v21 &
% 173.02/25.68  |                   op(e1, e3) = v9 & op(e1, e2) = v8 & op(e1, e1) = v1 & op(e1,
% 173.02/25.68  |                     e0) = e1 & $i(v23) & $i(v22) & $i(v21) & $i(v9) & $i(v8) &
% 173.02/25.68  |                   $i(v1)) | ( ~ (v19 = e3) &  ~ (v18 = e2) &  ~ (v17 = e1) & 
% 173.02/25.68  |                   ~ (v16 = e0) & op(e0, v6) = v19 & op(e0, v5) = v18 & op(e0,
% 173.02/25.68  |                     v4) = v17 & op(e0, v0) = v16 & op(e0, e3) = v6 & op(e0,
% 173.02/25.68  |                     e2) = v5 & op(e0, e0) = v0 & $i(v19) & $i(v18) & $i(v17) &
% 173.02/25.68  |                   $i(v16) & $i(v6) & $i(v5) & $i(v0) & (v0 = e0 | (v13 = e0 &
% 173.02/25.68  |                       v6 = e0 & op(e3, e0) = e0) | (v10 = e0 & v5 = e0 &
% 173.02/25.68  |                       op(e2, e0) = e0) | (v7 = e0 & v4 = e0 & op(e1, e0) =
% 173.02/25.68  |                       e0)))))) & ((v3 = e3 & op(e3, e3) = e3) | (v2 = e3 &
% 173.02/25.68  |               op(e2, e2) = e3) | (v1 = e3 & op(e1, e1) = e3) | (v0 = e3 &
% 173.02/25.68  |               op(e0, e0) = e3) | ( ~ (v12 = e2) & op(e2, e3) = v12 & $i(v12)))
% 173.02/25.68  |           & ((v3 = e3 & op(e3, e3) = e3) | (v2 = e3 & op(e2, e2) = e3) | (v1 =
% 173.02/25.68  |               e3 & op(e1, e1) = e3) | (v0 = e3 & op(e0, e0) = e3) | ( ~ (v9 =
% 173.02/25.68  |                 e1) & op(e1, e3) = v9 & $i(v9))) & ((v3 = e3 & op(e3, e3) =
% 173.02/25.68  |               e3) | (v2 = e3 & op(e2, e2) = e3) | (v1 = e3 & op(e1, e1) = e3)
% 173.02/25.68  |             | (v0 = e3 & op(e0, e0) = e3) | ( ~ (v6 = e0) & op(e0, e3) = v6 &
% 173.02/25.68  |               $i(v6))) & ((v3 = e3 & op(e3, e3) = e3) | (v2 = e3 & op(e2, e2)
% 173.02/25.68  |               = e3) | (v1 = e3 & op(e1, e1) = e3) | (v0 = e3 & op(e0, e0) =
% 173.02/25.68  |               e3) | ( ~ (v3 = e3) & op(e3, e3) = v3 & $i(v3))) & ((v3 = e2 &
% 173.02/25.68  |               op(e3, e3) = e2) | (v2 = e2 & op(e2, e2) = e2) | (v1 = e2 &
% 173.02/25.68  |               op(e1, e1) = e2) | (v0 = e2 & op(e0, e0) = e2) | ( ~ (v15 = e3)
% 173.02/25.68  |               & op(e3, e2) = v15 & $i(v15))) & ((v3 = e2 & op(e3, e3) = e2) |
% 173.02/25.68  |             (v2 = e2 & op(e2, e2) = e2) | (v1 = e2 & op(e1, e1) = e2) | (v0 =
% 173.02/25.68  |               e2 & op(e0, e0) = e2) | ( ~ (v8 = e1) & op(e1, e2) = v8 &
% 173.02/25.68  |               $i(v8))) & ((v3 = e2 & op(e3, e3) = e2) | (v2 = e2 & op(e2, e2)
% 173.02/25.68  |               = e2) | (v1 = e2 & op(e1, e1) = e2) | (v0 = e2 & op(e0, e0) =
% 173.02/25.68  |               e2) | ( ~ (v5 = e0) & op(e0, e2) = v5 & $i(v5))) & ((v3 = e2 &
% 173.02/25.68  |               op(e3, e3) = e2) | (v2 = e2 & op(e2, e2) = e2) | (v1 = e2 &
% 173.02/25.68  |               op(e1, e1) = e2) | (v0 = e2 & op(e0, e0) = e2) | ( ~ (v2 = e2) &
% 173.02/25.68  |               op(e2, e2) = v2 & $i(v2))) & ((v3 = e1 & op(e3, e3) = e1) | (v2
% 173.02/25.68  |               = e1 & op(e2, e2) = e1) | (v1 = e1 & op(e1, e1) = e1) | (v0 = e1
% 173.02/25.68  |               & op(e0, e0) = e1) | ( ~ (v14 = e3) & op(e3, e1) = v14 &
% 173.02/25.68  |               $i(v14))) & ((v3 = e1 & op(e3, e3) = e1) | (v2 = e1 & op(e2, e2)
% 173.02/25.68  |               = e1) | (v1 = e1 & op(e1, e1) = e1) | (v0 = e1 & op(e0, e0) =
% 173.02/25.68  |               e1) | ( ~ (v11 = e2) & op(e2, e1) = v11 & $i(v11))) & ((v3 = e1
% 173.02/25.68  |               & op(e3, e3) = e1) | (v2 = e1 & op(e2, e2) = e1) | (v1 = e1 &
% 173.02/25.68  |               op(e1, e1) = e1) | (v0 = e1 & op(e0, e0) = e1) | ( ~ (v4 = e0) &
% 173.02/25.68  |               op(e0, e1) = v4 & $i(v4))) & ((v3 = e1 & op(e3, e3) = e1) | (v2
% 173.02/25.68  |               = e1 & op(e2, e2) = e1) | (v1 = e1 & op(e1, e1) = e1) | (v0 = e1
% 173.02/25.68  |               & op(e0, e0) = e1) | ( ~ (v1 = e1) & op(e1, e1) = v1 & $i(v1)))
% 173.02/25.68  |           & ((v3 = e0 & op(e3, e3) = e0) | (v2 = e0 & op(e2, e2) = e0) | (v1 =
% 173.02/25.68  |               e0 & op(e1, e1) = e0) | (v0 = e0 & op(e0, e0) = e0) | ( ~ (v13 =
% 173.02/25.68  |                 e3) & op(e3, e0) = v13 & $i(v13))) & ((v3 = e0 & op(e3, e3) =
% 173.02/25.68  |               e0) | (v2 = e0 & op(e2, e2) = e0) | (v1 = e0 & op(e1, e1) = e0)
% 173.02/25.68  |             | (v0 = e0 & op(e0, e0) = e0) | ( ~ (v10 = e2) & op(e2, e0) = v10
% 173.02/25.68  |               & $i(v10))) & ((v3 = e0 & op(e3, e3) = e0) | (v2 = e0 & op(e2,
% 173.02/25.68  |                 e2) = e0) | (v1 = e0 & op(e1, e1) = e0) | (v0 = e0 & op(e0,
% 173.02/25.68  |                 e0) = e0) | ( ~ (v7 = e1) & op(e1, e0) = v7 & $i(v7))) & ((v3
% 173.02/25.68  |               = e0 & op(e3, e3) = e0) | (v2 = e0 & op(e2, e2) = e0) | (v1 = e0
% 173.02/25.68  |               & op(e1, e1) = e0) | (op(e0, e0) = v0 & $i(v0))))
% 173.02/25.68  | 
% 173.02/25.68  | ALPHA: (ax6) implies:
% 173.02/25.68  |   (11)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 173.02/25.68  |           ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e3, e3) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.68  |                 = e0) & op(e3, e2) = v1 & $i(v1))))
% 173.02/25.68  | 
% 173.02/25.68  | ALPHA: (ax7) implies:
% 173.02/25.68  |   (12)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 173.02/25.68  |           ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.68  |                 = e0) & op(e2, e3) = v1 & $i(v1))))
% 173.02/25.68  | 
% 173.02/25.68  | ALPHA: (ax8) implies:
% 173.02/25.68  |   (13)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 173.02/25.68  |           ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e3, e3) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.68  |                 = e0) & op(e3, e1) = v1 & $i(v1))))
% 173.02/25.68  | 
% 173.02/25.68  | ALPHA: (ax9) implies:
% 173.02/25.68  |   (14)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 173.02/25.68  |           ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e1, e1) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.68  |                 = e0) & op(e1, e3) = v1 & $i(v1))))
% 173.02/25.68  | 
% 173.02/25.68  | ALPHA: (ax10) implies:
% 173.02/25.68  |   (15)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 173.02/25.68  |           ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.68  |                 = e0) & op(e2, e1) = v1 & $i(v1))))
% 173.02/25.68  | 
% 173.02/25.68  | ALPHA: (ax11) implies:
% 173.02/25.68  |   (16)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 173.02/25.68  |           ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e1, e1) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.68  |                 = e0) & op(e1, e2) = v1 & $i(v1))))
% 173.02/25.68  | 
% 173.02/25.68  | ALPHA: (ax12) implies:
% 173.02/25.68  |   (17)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 173.02/25.68  |           ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e3, e3) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.68  |                 = e1) & op(e3, e2) = v1 & $i(v1))))
% 173.02/25.68  | 
% 173.02/25.68  | ALPHA: (ax13) implies:
% 173.02/25.69  |   (18)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 173.02/25.69  |           ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69  |                 = e1) & op(e2, e3) = v1 & $i(v1))))
% 173.02/25.69  | 
% 173.02/25.69  | ALPHA: (ax14) implies:
% 173.02/25.69  |   (19)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 173.02/25.69  |           ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e3, e3) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69  |                 = e1) & op(e3, e0) = v1 & $i(v1))))
% 173.02/25.69  | 
% 173.02/25.69  | ALPHA: (ax15) implies:
% 173.02/25.69  |   (20)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 173.02/25.69  |           ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e0, e0) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69  |                 = e1) & op(e0, e3) = v1 & $i(v1))))
% 173.02/25.69  | 
% 173.02/25.69  | ALPHA: (ax16) implies:
% 173.02/25.69  |   (21)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 173.02/25.69  |           ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69  |                 = e1) & op(e2, e0) = v1 & $i(v1))))
% 173.02/25.69  | 
% 173.02/25.69  | ALPHA: (ax17) implies:
% 173.02/25.69  |   (22)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 173.02/25.69  |           ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e0, e0) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69  |                 = e1) & op(e0, e2) = v1 & $i(v1))))
% 173.02/25.69  | 
% 173.02/25.69  | ALPHA: (ax18) implies:
% 173.02/25.69  |   (23)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 173.02/25.69  |           ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e3, e3) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69  |                 = e2) & op(e3, e1) = v1 & $i(v1))))
% 173.02/25.69  | 
% 173.02/25.69  | ALPHA: (ax19) implies:
% 173.02/25.69  |   (24)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 173.02/25.69  |           ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e1, e1) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69  |                 = e2) & op(e1, e3) = v1 & $i(v1))))
% 173.02/25.69  | 
% 173.02/25.69  | ALPHA: (ax20) implies:
% 173.02/25.69  |   (25)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 173.02/25.69  |           ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e3, e3) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69  |                 = e2) & op(e3, e0) = v1 & $i(v1))))
% 173.02/25.69  | 
% 173.02/25.69  | ALPHA: (ax21) implies:
% 173.02/25.69  |   (26)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 173.02/25.69  |           ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e0, e0) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69  |                 = e2) & op(e0, e3) = v1 & $i(v1))))
% 173.02/25.69  | 
% 173.02/25.69  | ALPHA: (ax22) implies:
% 173.02/25.69  |   (27)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 173.02/25.69  |           ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e1, e1) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69  |                 = e2) & op(e1, e0) = v1 & $i(v1))))
% 173.02/25.69  | 
% 173.02/25.69  | ALPHA: (ax23) implies:
% 173.02/25.69  |   (28)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 173.02/25.69  |           ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e0, e0) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69  |                 = e2) & op(e0, e1) = v1 & $i(v1))))
% 173.02/25.69  | 
% 173.02/25.69  | ALPHA: (ax24) implies:
% 173.02/25.69  |   (29)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 173.02/25.69  |           ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69  |                 = e3) & op(e2, e1) = v1 & $i(v1))))
% 173.02/25.69  | 
% 173.02/25.69  | ALPHA: (ax25) implies:
% 173.02/25.69  |   (30)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 173.02/25.69  |           ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e1, e1) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69  |                 = e3) & op(e1, e2) = v1 & $i(v1))))
% 173.02/25.69  | 
% 173.02/25.69  | ALPHA: (ax26) implies:
% 173.02/25.69  |   (31)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 173.02/25.69  |           ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e2, e2) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.69  |                 = e3) & op(e2, e0) = v1 & $i(v1))))
% 173.02/25.69  | 
% 173.02/25.69  | ALPHA: (ax27) implies:
% 173.02/25.69  |   (32)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 173.02/25.69  |           ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e0, e0) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.70  |                 = e3) & op(e0, e2) = v1 & $i(v1))))
% 173.02/25.70  | 
% 173.02/25.70  | ALPHA: (ax28) implies:
% 173.02/25.70  |   (33)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 173.02/25.70  |           ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e1, e1) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.70  |                 = e3) & op(e1, e0) = v1 & $i(v1))))
% 173.02/25.70  | 
% 173.02/25.70  | ALPHA: (ax29) implies:
% 173.02/25.70  |   (34)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 173.02/25.70  |           ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e0, e0) = v2 & $i(v2)) | ( ~ (v1
% 173.02/25.70  |                 = e3) & op(e0, e1) = v1 & $i(v1))))
% 173.02/25.70  | 
% 173.02/25.70  | DELTA: instantiating (20) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 173.02/25.70  |   (35)  op(e3, e3) = all_4_2 & $i(all_4_2) & ( ~ (all_4_2 = e0) | ( ~ (all_4_0
% 173.02/25.70  |               = e2) & op(e0, e0) = all_4_0 & $i(all_4_0)) | ( ~ (all_4_1 = e1)
% 173.02/25.70  |             & op(e0, e3) = all_4_1 & $i(all_4_1)))
% 173.02/25.70  | 
% 173.02/25.70  | ALPHA: (35) implies:
% 173.02/25.70  |   (36)  op(e3, e3) = all_4_2
% 173.02/25.70  |   (37)   ~ (all_4_2 = e0) | ( ~ (all_4_0 = e2) & op(e0, e0) = all_4_0 &
% 173.02/25.70  |           $i(all_4_0)) | ( ~ (all_4_1 = e1) & op(e0, e3) = all_4_1 &
% 173.02/25.70  |           $i(all_4_1))
% 173.02/25.70  | 
% 173.02/25.70  | DELTA: instantiating (27) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 173.02/25.70  |   (38)  op(e0, e0) = all_6_2 & $i(all_6_2) & ( ~ (all_6_2 = e1) | ( ~ (all_6_0
% 173.02/25.70  |               = e3) & op(e1, e1) = all_6_0 & $i(all_6_0)) | ( ~ (all_6_1 = e2)
% 173.02/25.70  |             & op(e1, e0) = all_6_1 & $i(all_6_1)))
% 173.02/25.70  | 
% 173.02/25.70  | ALPHA: (38) implies:
% 173.02/25.70  |   (39)  op(e0, e0) = all_6_2
% 173.02/25.70  |   (40)   ~ (all_6_2 = e1) | ( ~ (all_6_0 = e3) & op(e1, e1) = all_6_0 &
% 173.02/25.70  |           $i(all_6_0)) | ( ~ (all_6_1 = e2) & op(e1, e0) = all_6_1 &
% 173.02/25.70  |           $i(all_6_1))
% 173.02/25.70  | 
% 173.02/25.70  | DELTA: instantiating (21) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 173.02/25.70  |   (41)  op(e0, e0) = all_8_2 & $i(all_8_2) & ( ~ (all_8_2 = e2) | ( ~ (all_8_0
% 173.02/25.70  |               = e3) & op(e2, e2) = all_8_0 & $i(all_8_0)) | ( ~ (all_8_1 = e1)
% 173.02/25.70  |             & op(e2, e0) = all_8_1 & $i(all_8_1)))
% 173.02/25.70  | 
% 173.02/25.70  | ALPHA: (41) implies:
% 173.02/25.70  |   (42)  op(e0, e0) = all_8_2
% 173.02/25.70  |   (43)   ~ (all_8_2 = e2) | ( ~ (all_8_0 = e3) & op(e2, e2) = all_8_0 &
% 173.02/25.70  |           $i(all_8_0)) | ( ~ (all_8_1 = e1) & op(e2, e0) = all_8_1 &
% 173.02/25.70  |           $i(all_8_1))
% 173.02/25.70  | 
% 173.02/25.70  | DELTA: instantiating (11) with fresh symbols all_10_0, all_10_1, all_10_2
% 173.02/25.70  |        gives:
% 173.02/25.70  |   (44)  op(e2, e2) = all_10_2 & $i(all_10_2) & ( ~ (all_10_2 = e3) | ( ~
% 173.02/25.70  |             (all_10_0 = e1) & op(e3, e3) = all_10_0 & $i(all_10_0)) | ( ~
% 173.02/25.70  |             (all_10_1 = e0) & op(e3, e2) = all_10_1 & $i(all_10_1)))
% 173.02/25.70  | 
% 173.02/25.70  | ALPHA: (44) implies:
% 173.02/25.70  |   (45)  op(e2, e2) = all_10_2
% 173.02/25.70  |   (46)   ~ (all_10_2 = e3) | ( ~ (all_10_0 = e1) & op(e3, e3) = all_10_0 &
% 173.02/25.70  |           $i(all_10_0)) | ( ~ (all_10_1 = e0) & op(e3, e2) = all_10_1 &
% 173.02/25.70  |           $i(all_10_1))
% 173.02/25.70  | 
% 173.02/25.70  | DELTA: instantiating (22) with fresh symbols all_12_0, all_12_1, all_12_2
% 173.02/25.70  |        gives:
% 173.02/25.70  |   (47)  op(e2, e2) = all_12_2 & $i(all_12_2) & ( ~ (all_12_2 = e0) | ( ~
% 173.02/25.70  |             (all_12_0 = e3) & op(e0, e0) = all_12_0 & $i(all_12_0)) | ( ~
% 173.02/25.70  |             (all_12_1 = e1) & op(e0, e2) = all_12_1 & $i(all_12_1)))
% 173.02/25.70  | 
% 173.02/25.70  | ALPHA: (47) implies:
% 173.02/25.70  |   (48)  op(e2, e2) = all_12_2
% 173.02/25.70  |   (49)   ~ (all_12_2 = e0) | ( ~ (all_12_0 = e3) & op(e0, e0) = all_12_0 &
% 173.02/25.70  |           $i(all_12_0)) | ( ~ (all_12_1 = e1) & op(e0, e2) = all_12_1 &
% 173.02/25.70  |           $i(all_12_1))
% 173.02/25.70  | 
% 173.02/25.70  | DELTA: instantiating (29) with fresh symbols all_14_0, all_14_1, all_14_2
% 173.02/25.70  |        gives:
% 173.02/25.70  |   (50)  op(e1, e1) = all_14_2 & $i(all_14_2) & ( ~ (all_14_2 = e2) | ( ~
% 173.02/25.70  |             (all_14_0 = e0) & op(e2, e2) = all_14_0 & $i(all_14_0)) | ( ~
% 173.02/25.70  |             (all_14_1 = e3) & op(e2, e1) = all_14_1 & $i(all_14_1)))
% 173.02/25.70  | 
% 173.02/25.70  | ALPHA: (50) implies:
% 173.02/25.70  |   (51)  op(e1, e1) = all_14_2
% 173.02/25.70  |   (52)   ~ (all_14_2 = e2) | ( ~ (all_14_0 = e0) & op(e2, e2) = all_14_0 &
% 173.02/25.70  |           $i(all_14_0)) | ( ~ (all_14_1 = e3) & op(e2, e1) = all_14_1 &
% 173.02/25.70  |           $i(all_14_1))
% 173.02/25.70  | 
% 173.02/25.70  | DELTA: instantiating (23) with fresh symbols all_16_0, all_16_1, all_16_2
% 173.02/25.70  |        gives:
% 173.02/25.70  |   (53)  op(e1, e1) = all_16_2 & $i(all_16_2) & ( ~ (all_16_2 = e3) | ( ~
% 173.02/25.70  |             (all_16_0 = e0) & op(e3, e3) = all_16_0 & $i(all_16_0)) | ( ~
% 173.02/25.70  |             (all_16_1 = e2) & op(e3, e1) = all_16_1 & $i(all_16_1)))
% 173.02/25.70  | 
% 173.02/25.70  | ALPHA: (53) implies:
% 173.02/25.70  |   (54)  op(e1, e1) = all_16_2
% 173.02/25.70  |   (55)   ~ (all_16_2 = e3) | ( ~ (all_16_0 = e0) & op(e3, e3) = all_16_0 &
% 173.02/25.70  |           $i(all_16_0)) | ( ~ (all_16_1 = e2) & op(e3, e1) = all_16_1 &
% 173.02/25.70  |           $i(all_16_1))
% 173.02/25.70  | 
% 173.02/25.70  | DELTA: instantiating (24) with fresh symbols all_18_0, all_18_1, all_18_2
% 173.02/25.70  |        gives:
% 173.02/25.71  |   (56)  op(e3, e3) = all_18_2 & $i(all_18_2) & ( ~ (all_18_2 = e1) | ( ~
% 173.02/25.71  |             (all_18_0 = e0) & op(e1, e1) = all_18_0 & $i(all_18_0)) | ( ~
% 173.02/25.71  |             (all_18_1 = e2) & op(e1, e3) = all_18_1 & $i(all_18_1)))
% 173.02/25.71  | 
% 173.02/25.71  | ALPHA: (56) implies:
% 173.02/25.71  |   (57)  op(e3, e3) = all_18_2
% 173.02/25.71  |   (58)   ~ (all_18_2 = e1) | ( ~ (all_18_0 = e0) & op(e1, e1) = all_18_0 &
% 173.02/25.71  |           $i(all_18_0)) | ( ~ (all_18_1 = e2) & op(e1, e3) = all_18_1 &
% 173.02/25.71  |           $i(all_18_1))
% 173.02/25.71  | 
% 173.02/25.71  | DELTA: instantiating (26) with fresh symbols all_20_0, all_20_1, all_20_2
% 173.02/25.71  |        gives:
% 173.02/25.71  |   (59)  op(e3, e3) = all_20_2 & $i(all_20_2) & ( ~ (all_20_2 = e0) | ( ~
% 173.02/25.71  |             (all_20_0 = e1) & op(e0, e0) = all_20_0 & $i(all_20_0)) | ( ~
% 173.02/25.71  |             (all_20_1 = e2) & op(e0, e3) = all_20_1 & $i(all_20_1)))
% 173.02/25.71  | 
% 173.02/25.71  | ALPHA: (59) implies:
% 173.02/25.71  |   (60)  op(e3, e3) = all_20_2
% 173.02/25.71  |   (61)   ~ (all_20_2 = e0) | ( ~ (all_20_0 = e1) & op(e0, e0) = all_20_0 &
% 173.02/25.71  |           $i(all_20_0)) | ( ~ (all_20_1 = e2) & op(e0, e3) = all_20_1 &
% 173.02/25.71  |           $i(all_20_1))
% 173.02/25.71  | 
% 173.02/25.71  | DELTA: instantiating (31) with fresh symbols all_22_0, all_22_1, all_22_2
% 173.02/25.71  |        gives:
% 173.02/25.71  |   (62)  op(e0, e0) = all_22_2 & $i(all_22_2) & ( ~ (all_22_2 = e2) | ( ~
% 173.02/25.71  |             (all_22_0 = e1) & op(e2, e2) = all_22_0 & $i(all_22_0)) | ( ~
% 173.02/25.71  |             (all_22_1 = e3) & op(e2, e0) = all_22_1 & $i(all_22_1)))
% 173.02/25.71  | 
% 173.02/25.71  | ALPHA: (62) implies:
% 173.02/25.71  |   (63)  op(e0, e0) = all_22_2
% 173.02/25.71  |   (64)   ~ (all_22_2 = e2) | ( ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 173.02/25.71  |           $i(all_22_0)) | ( ~ (all_22_1 = e3) & op(e2, e0) = all_22_1 &
% 173.02/25.71  |           $i(all_22_1))
% 173.02/25.71  | 
% 173.02/25.71  | DELTA: instantiating (13) with fresh symbols all_24_0, all_24_1, all_24_2
% 173.02/25.71  |        gives:
% 173.02/25.71  |   (65)  op(e1, e1) = all_24_2 & $i(all_24_2) & ( ~ (all_24_2 = e3) | ( ~
% 173.02/25.71  |             (all_24_0 = e2) & op(e3, e3) = all_24_0 & $i(all_24_0)) | ( ~
% 173.02/25.71  |             (all_24_1 = e0) & op(e3, e1) = all_24_1 & $i(all_24_1)))
% 173.02/25.71  | 
% 173.02/25.71  | ALPHA: (65) implies:
% 173.02/25.71  |   (66)  op(e1, e1) = all_24_2
% 173.02/25.71  |   (67)   ~ (all_24_2 = e3) | ( ~ (all_24_0 = e2) & op(e3, e3) = all_24_0 &
% 173.02/25.71  |           $i(all_24_0)) | ( ~ (all_24_1 = e0) & op(e3, e1) = all_24_1 &
% 173.02/25.71  |           $i(all_24_1))
% 173.02/25.71  | 
% 173.02/25.71  | DELTA: instantiating (28) with fresh symbols all_26_0, all_26_1, all_26_2
% 173.02/25.71  |        gives:
% 173.02/25.71  |   (68)  op(e1, e1) = all_26_2 & $i(all_26_2) & ( ~ (all_26_2 = e0) | ( ~
% 173.02/25.71  |             (all_26_0 = e3) & op(e0, e0) = all_26_0 & $i(all_26_0)) | ( ~
% 173.02/25.71  |             (all_26_1 = e2) & op(e0, e1) = all_26_1 & $i(all_26_1)))
% 173.02/25.71  | 
% 173.02/25.71  | ALPHA: (68) implies:
% 173.02/25.71  |   (69)  op(e1, e1) = all_26_2
% 173.02/25.71  |   (70)   ~ (all_26_2 = e0) | ( ~ (all_26_0 = e3) & op(e0, e0) = all_26_0 &
% 173.02/25.71  |           $i(all_26_0)) | ( ~ (all_26_1 = e2) & op(e0, e1) = all_26_1 &
% 173.02/25.71  |           $i(all_26_1))
% 173.02/25.71  | 
% 173.02/25.71  | DELTA: instantiating (30) with fresh symbols all_28_0, all_28_1, all_28_2
% 173.02/25.71  |        gives:
% 173.02/25.71  |   (71)  op(e2, e2) = all_28_2 & $i(all_28_2) & ( ~ (all_28_2 = e1) | ( ~
% 173.02/25.71  |             (all_28_0 = e0) & op(e1, e1) = all_28_0 & $i(all_28_0)) | ( ~
% 173.02/25.71  |             (all_28_1 = e3) & op(e1, e2) = all_28_1 & $i(all_28_1)))
% 173.02/25.71  | 
% 173.02/25.71  | ALPHA: (71) implies:
% 173.02/25.71  |   (72)  op(e2, e2) = all_28_2
% 173.02/25.71  |   (73)   ~ (all_28_2 = e1) | ( ~ (all_28_0 = e0) & op(e1, e1) = all_28_0 &
% 173.02/25.71  |           $i(all_28_0)) | ( ~ (all_28_1 = e3) & op(e1, e2) = all_28_1 &
% 173.02/25.71  |           $i(all_28_1))
% 173.02/25.71  | 
% 173.02/25.71  | DELTA: instantiating (12) with fresh symbols all_30_0, all_30_1, all_30_2
% 173.02/25.71  |        gives:
% 173.02/25.71  |   (74)  op(e3, e3) = all_30_2 & $i(all_30_2) & ( ~ (all_30_2 = e2) | ( ~
% 173.02/25.71  |             (all_30_0 = e1) & op(e2, e2) = all_30_0 & $i(all_30_0)) | ( ~
% 173.02/25.71  |             (all_30_1 = e0) & op(e2, e3) = all_30_1 & $i(all_30_1)))
% 173.02/25.71  | 
% 173.02/25.71  | ALPHA: (74) implies:
% 173.02/25.71  |   (75)  op(e3, e3) = all_30_2
% 173.02/25.71  |   (76)   ~ (all_30_2 = e2) | ( ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 &
% 173.02/25.71  |           $i(all_30_0)) | ( ~ (all_30_1 = e0) & op(e2, e3) = all_30_1 &
% 173.02/25.71  |           $i(all_30_1))
% 173.02/25.71  | 
% 173.02/25.71  | DELTA: instantiating (19) with fresh symbols all_32_0, all_32_1, all_32_2
% 173.02/25.71  |        gives:
% 173.02/25.71  |   (77)  op(e0, e0) = all_32_2 & $i(all_32_2) & ( ~ (all_32_2 = e3) | ( ~
% 173.02/25.71  |             (all_32_0 = e2) & op(e3, e3) = all_32_0 & $i(all_32_0)) | ( ~
% 173.02/25.71  |             (all_32_1 = e1) & op(e3, e0) = all_32_1 & $i(all_32_1)))
% 173.02/25.71  | 
% 173.02/25.71  | ALPHA: (77) implies:
% 173.02/25.71  |   (78)  op(e0, e0) = all_32_2
% 173.02/25.71  |   (79)   ~ (all_32_2 = e3) | ( ~ (all_32_0 = e2) & op(e3, e3) = all_32_0 &
% 173.02/25.71  |           $i(all_32_0)) | ( ~ (all_32_1 = e1) & op(e3, e0) = all_32_1 &
% 173.02/25.71  |           $i(all_32_1))
% 173.02/25.71  | 
% 173.02/25.71  | DELTA: instantiating (32) with fresh symbols all_34_0, all_34_1, all_34_2
% 173.02/25.71  |        gives:
% 173.02/25.71  |   (80)  op(e2, e2) = all_34_2 & $i(all_34_2) & ( ~ (all_34_2 = e0) | ( ~
% 173.02/25.71  |             (all_34_0 = e1) & op(e0, e0) = all_34_0 & $i(all_34_0)) | ( ~
% 173.02/25.71  |             (all_34_1 = e3) & op(e0, e2) = all_34_1 & $i(all_34_1)))
% 173.02/25.71  | 
% 173.02/25.71  | ALPHA: (80) implies:
% 173.02/25.71  |   (81)  op(e2, e2) = all_34_2
% 173.02/25.71  |   (82)   ~ (all_34_2 = e0) | ( ~ (all_34_0 = e1) & op(e0, e0) = all_34_0 &
% 173.02/25.71  |           $i(all_34_0)) | ( ~ (all_34_1 = e3) & op(e0, e2) = all_34_1 &
% 173.02/25.71  |           $i(all_34_1))
% 173.02/25.71  | 
% 173.02/25.71  | DELTA: instantiating (33) with fresh symbols all_36_0, all_36_1, all_36_2
% 173.02/25.71  |        gives:
% 173.02/25.71  |   (83)  op(e0, e0) = all_36_2 & $i(all_36_2) & ( ~ (all_36_2 = e1) | ( ~
% 173.02/25.71  |             (all_36_0 = e2) & op(e1, e1) = all_36_0 & $i(all_36_0)) | ( ~
% 173.02/25.71  |             (all_36_1 = e3) & op(e1, e0) = all_36_1 & $i(all_36_1)))
% 173.02/25.71  | 
% 173.02/25.71  | ALPHA: (83) implies:
% 173.02/25.71  |   (84)  op(e0, e0) = all_36_2
% 173.02/25.72  |   (85)   ~ (all_36_2 = e1) | ( ~ (all_36_0 = e2) & op(e1, e1) = all_36_0 &
% 173.02/25.72  |           $i(all_36_0)) | ( ~ (all_36_1 = e3) & op(e1, e0) = all_36_1 &
% 173.02/25.72  |           $i(all_36_1))
% 173.02/25.72  | 
% 173.02/25.72  | DELTA: instantiating (25) with fresh symbols all_38_0, all_38_1, all_38_2
% 173.02/25.72  |        gives:
% 173.02/25.72  |   (86)  op(e0, e0) = all_38_2 & $i(all_38_2) & ( ~ (all_38_2 = e3) | ( ~
% 173.02/25.72  |             (all_38_0 = e1) & op(e3, e3) = all_38_0 & $i(all_38_0)) | ( ~
% 173.02/25.72  |             (all_38_1 = e2) & op(e3, e0) = all_38_1 & $i(all_38_1)))
% 173.02/25.72  | 
% 173.02/25.72  | ALPHA: (86) implies:
% 173.02/25.72  |   (87)  op(e0, e0) = all_38_2
% 173.43/25.72  |   (88)   ~ (all_38_2 = e3) | ( ~ (all_38_0 = e1) & op(e3, e3) = all_38_0 &
% 173.43/25.72  |           $i(all_38_0)) | ( ~ (all_38_1 = e2) & op(e3, e0) = all_38_1 &
% 173.43/25.72  |           $i(all_38_1))
% 173.43/25.72  | 
% 173.43/25.72  | DELTA: instantiating (14) with fresh symbols all_40_0, all_40_1, all_40_2
% 173.43/25.72  |        gives:
% 173.43/25.72  |   (89)  op(e3, e3) = all_40_2 & $i(all_40_2) & ( ~ (all_40_2 = e1) | ( ~
% 173.43/25.72  |             (all_40_0 = e2) & op(e1, e1) = all_40_0 & $i(all_40_0)) | ( ~
% 173.43/25.72  |             (all_40_1 = e0) & op(e1, e3) = all_40_1 & $i(all_40_1)))
% 173.43/25.72  | 
% 173.43/25.72  | ALPHA: (89) implies:
% 173.43/25.72  |   (90)  op(e3, e3) = all_40_2
% 173.43/25.72  |   (91)   ~ (all_40_2 = e1) | ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 173.43/25.72  |           $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 173.43/25.72  |           $i(all_40_1))
% 173.43/25.72  | 
% 173.43/25.72  | DELTA: instantiating (15) with fresh symbols all_42_0, all_42_1, all_42_2
% 173.43/25.72  |        gives:
% 173.43/25.72  |   (92)  op(e1, e1) = all_42_2 & $i(all_42_2) & ( ~ (all_42_2 = e2) | ( ~
% 173.43/25.72  |             (all_42_0 = e3) & op(e2, e2) = all_42_0 & $i(all_42_0)) | ( ~
% 173.43/25.72  |             (all_42_1 = e0) & op(e2, e1) = all_42_1 & $i(all_42_1)))
% 173.43/25.72  | 
% 173.43/25.72  | ALPHA: (92) implies:
% 173.43/25.72  |   (93)  op(e1, e1) = all_42_2
% 173.43/25.72  |   (94)   ~ (all_42_2 = e2) | ( ~ (all_42_0 = e3) & op(e2, e2) = all_42_0 &
% 173.43/25.72  |           $i(all_42_0)) | ( ~ (all_42_1 = e0) & op(e2, e1) = all_42_1 &
% 173.43/25.72  |           $i(all_42_1))
% 173.43/25.72  | 
% 173.43/25.72  | DELTA: instantiating (34) with fresh symbols all_44_0, all_44_1, all_44_2
% 173.43/25.72  |        gives:
% 173.43/25.72  |   (95)  op(e1, e1) = all_44_2 & $i(all_44_2) & ( ~ (all_44_2 = e0) | ( ~
% 173.43/25.72  |             (all_44_0 = e2) & op(e0, e0) = all_44_0 & $i(all_44_0)) | ( ~
% 173.43/25.72  |             (all_44_1 = e3) & op(e0, e1) = all_44_1 & $i(all_44_1)))
% 173.43/25.72  | 
% 173.43/25.72  | ALPHA: (95) implies:
% 173.43/25.72  |   (96)  op(e1, e1) = all_44_2
% 173.43/25.72  |   (97)   ~ (all_44_2 = e0) | ( ~ (all_44_0 = e2) & op(e0, e0) = all_44_0 &
% 173.43/25.72  |           $i(all_44_0)) | ( ~ (all_44_1 = e3) & op(e0, e1) = all_44_1 &
% 173.43/25.72  |           $i(all_44_1))
% 173.43/25.72  | 
% 173.43/25.72  | DELTA: instantiating (16) with fresh symbols all_46_0, all_46_1, all_46_2
% 173.43/25.72  |        gives:
% 173.43/25.72  |   (98)  op(e2, e2) = all_46_2 & $i(all_46_2) & ( ~ (all_46_2 = e1) | ( ~
% 173.43/25.72  |             (all_46_0 = e3) & op(e1, e1) = all_46_0 & $i(all_46_0)) | ( ~
% 173.43/25.72  |             (all_46_1 = e0) & op(e1, e2) = all_46_1 & $i(all_46_1)))
% 173.43/25.72  | 
% 173.43/25.72  | ALPHA: (98) implies:
% 173.43/25.72  |   (99)  op(e2, e2) = all_46_2
% 173.43/25.72  |   (100)   ~ (all_46_2 = e1) | ( ~ (all_46_0 = e3) & op(e1, e1) = all_46_0 &
% 173.43/25.72  |            $i(all_46_0)) | ( ~ (all_46_1 = e0) & op(e1, e2) = all_46_1 &
% 173.43/25.72  |            $i(all_46_1))
% 173.43/25.72  | 
% 173.43/25.72  | DELTA: instantiating (18) with fresh symbols all_48_0, all_48_1, all_48_2
% 173.43/25.72  |        gives:
% 173.43/25.72  |   (101)  op(e3, e3) = all_48_2 & $i(all_48_2) & ( ~ (all_48_2 = e2) | ( ~
% 173.43/25.72  |              (all_48_0 = e0) & op(e2, e2) = all_48_0 & $i(all_48_0)) | ( ~
% 173.43/25.72  |              (all_48_1 = e1) & op(e2, e3) = all_48_1 & $i(all_48_1)))
% 173.43/25.72  | 
% 173.43/25.72  | ALPHA: (101) implies:
% 173.43/25.72  |   (102)  op(e3, e3) = all_48_2
% 173.43/25.72  |   (103)   ~ (all_48_2 = e2) | ( ~ (all_48_0 = e0) & op(e2, e2) = all_48_0 &
% 173.43/25.72  |            $i(all_48_0)) | ( ~ (all_48_1 = e1) & op(e2, e3) = all_48_1 &
% 173.43/25.72  |            $i(all_48_1))
% 173.43/25.72  | 
% 173.43/25.72  | DELTA: instantiating (17) with fresh symbols all_50_0, all_50_1, all_50_2
% 173.43/25.72  |        gives:
% 173.43/25.72  |   (104)  op(e2, e2) = all_50_2 & $i(all_50_2) & ( ~ (all_50_2 = e3) | ( ~
% 173.43/25.72  |              (all_50_0 = e0) & op(e3, e3) = all_50_0 & $i(all_50_0)) | ( ~
% 173.43/25.72  |              (all_50_1 = e1) & op(e3, e2) = all_50_1 & $i(all_50_1)))
% 173.43/25.72  | 
% 173.43/25.72  | ALPHA: (104) implies:
% 173.43/25.72  |   (105)  op(e2, e2) = all_50_2
% 173.43/25.72  |   (106)   ~ (all_50_2 = e3) | ( ~ (all_50_0 = e0) & op(e3, e3) = all_50_0 &
% 173.43/25.72  |            $i(all_50_0)) | ( ~ (all_50_1 = e1) & op(e3, e2) = all_50_1 &
% 173.43/25.72  |            $i(all_50_1))
% 173.43/25.72  | 
% 173.43/25.72  | DELTA: instantiating (3) with fresh symbols all_52_0, all_52_1, all_52_2,
% 173.43/25.72  |        all_52_3, all_52_4, all_52_5, all_52_6, all_52_7, all_52_8, all_52_9,
% 173.43/25.72  |        all_52_10, all_52_11, all_52_12, all_52_13, all_52_14, all_52_15 gives:
% 173.43/25.72  |   (107)   ~ (all_52_0 = all_52_1) &  ~ (all_52_0 = all_52_2) &  ~ (all_52_0 =
% 173.43/25.72  |            all_52_3) &  ~ (all_52_0 = all_52_4) &  ~ (all_52_0 = all_52_8) & 
% 173.43/25.72  |          ~ (all_52_0 = all_52_12) &  ~ (all_52_1 = all_52_2) &  ~ (all_52_1 =
% 173.43/25.72  |            all_52_3) &  ~ (all_52_1 = all_52_5) &  ~ (all_52_1 = all_52_9) & 
% 173.43/25.72  |          ~ (all_52_1 = all_52_13) &  ~ (all_52_2 = all_52_3) &  ~ (all_52_2 =
% 173.43/25.72  |            all_52_6) &  ~ (all_52_2 = all_52_10) &  ~ (all_52_2 = all_52_14) &
% 173.43/25.72  |           ~ (all_52_3 = all_52_7) &  ~ (all_52_3 = all_52_11) &  ~ (all_52_3 =
% 173.43/25.72  |            all_52_15) &  ~ (all_52_4 = all_52_5) &  ~ (all_52_4 = all_52_6) & 
% 173.43/25.72  |          ~ (all_52_4 = all_52_7) &  ~ (all_52_4 = all_52_8) &  ~ (all_52_4 =
% 173.43/25.72  |            all_52_12) &  ~ (all_52_5 = all_52_6) &  ~ (all_52_5 = all_52_7) & 
% 173.43/25.72  |          ~ (all_52_5 = all_52_9) &  ~ (all_52_5 = all_52_13) &  ~ (all_52_6 =
% 173.43/25.72  |            all_52_7) &  ~ (all_52_6 = all_52_10) &  ~ (all_52_6 = all_52_14) &
% 173.43/25.72  |           ~ (all_52_7 = all_52_11) &  ~ (all_52_7 = all_52_15) &  ~ (all_52_8
% 173.43/25.72  |            = all_52_9) &  ~ (all_52_8 = all_52_10) &  ~ (all_52_8 = all_52_11)
% 173.43/25.72  |          &  ~ (all_52_8 = all_52_12) &  ~ (all_52_9 = all_52_10) &  ~
% 173.43/25.72  |          (all_52_9 = all_52_11) &  ~ (all_52_9 = all_52_13) &  ~ (all_52_10 =
% 173.43/25.72  |            all_52_11) &  ~ (all_52_10 = all_52_14) &  ~ (all_52_11 =
% 173.43/25.72  |            all_52_15) &  ~ (all_52_12 = all_52_13) &  ~ (all_52_12 =
% 173.43/25.72  |            all_52_14) &  ~ (all_52_12 = all_52_15) &  ~ (all_52_13 =
% 173.43/25.72  |            all_52_14) &  ~ (all_52_13 = all_52_15) &  ~ (all_52_14 =
% 173.43/25.72  |            all_52_15) & op(e3, e3) = all_52_0 & op(e3, e2) = all_52_4 & op(e3,
% 173.43/25.72  |            e1) = all_52_8 & op(e3, e0) = all_52_12 & op(e2, e3) = all_52_1 &
% 173.43/25.72  |          op(e2, e2) = all_52_5 & op(e2, e1) = all_52_9 & op(e2, e0) =
% 173.43/25.72  |          all_52_13 & op(e1, e3) = all_52_2 & op(e1, e2) = all_52_6 & op(e1,
% 173.43/25.72  |            e1) = all_52_10 & op(e1, e0) = all_52_14 & op(e0, e3) = all_52_3 &
% 173.43/25.72  |          op(e0, e2) = all_52_7 & op(e0, e1) = all_52_11 & op(e0, e0) =
% 173.43/25.72  |          all_52_15 & $i(all_52_0) & $i(all_52_1) & $i(all_52_2) & $i(all_52_3)
% 173.43/25.72  |          & $i(all_52_4) & $i(all_52_5) & $i(all_52_6) & $i(all_52_7) &
% 173.43/25.72  |          $i(all_52_8) & $i(all_52_9) & $i(all_52_10) & $i(all_52_11) &
% 173.43/25.72  |          $i(all_52_12) & $i(all_52_13) & $i(all_52_14) & $i(all_52_15)
% 173.43/25.72  | 
% 173.43/25.72  | ALPHA: (107) implies:
% 173.43/25.73  |   (108)   ~ (all_52_14 = all_52_15)
% 173.43/25.73  |   (109)   ~ (all_52_13 = all_52_15)
% 173.43/25.73  |   (110)   ~ (all_52_13 = all_52_14)
% 173.43/25.73  |   (111)   ~ (all_52_12 = all_52_15)
% 173.43/25.73  |   (112)   ~ (all_52_12 = all_52_14)
% 173.43/25.73  |   (113)   ~ (all_52_12 = all_52_13)
% 173.43/25.73  |   (114)   ~ (all_52_11 = all_52_15)
% 173.43/25.73  |   (115)   ~ (all_52_10 = all_52_14)
% 173.43/25.73  |   (116)   ~ (all_52_10 = all_52_11)
% 173.43/25.73  |   (117)   ~ (all_52_9 = all_52_13)
% 173.43/25.73  |   (118)   ~ (all_52_9 = all_52_11)
% 173.43/25.73  |   (119)   ~ (all_52_9 = all_52_10)
% 173.43/25.73  |   (120)   ~ (all_52_8 = all_52_12)
% 173.43/25.73  |   (121)   ~ (all_52_8 = all_52_11)
% 173.43/25.73  |   (122)   ~ (all_52_8 = all_52_10)
% 173.43/25.73  |   (123)   ~ (all_52_8 = all_52_9)
% 173.43/25.73  |   (124)   ~ (all_52_7 = all_52_15)
% 173.43/25.73  |   (125)   ~ (all_52_7 = all_52_11)
% 173.43/25.73  |   (126)   ~ (all_52_6 = all_52_14)
% 173.43/25.73  |   (127)   ~ (all_52_6 = all_52_10)
% 173.43/25.73  |   (128)   ~ (all_52_6 = all_52_7)
% 173.43/25.73  |   (129)   ~ (all_52_5 = all_52_13)
% 173.43/25.73  |   (130)   ~ (all_52_5 = all_52_9)
% 173.43/25.73  |   (131)   ~ (all_52_5 = all_52_7)
% 173.43/25.73  |   (132)   ~ (all_52_5 = all_52_6)
% 173.43/25.73  |   (133)   ~ (all_52_4 = all_52_12)
% 173.43/25.73  |   (134)   ~ (all_52_4 = all_52_8)
% 173.43/25.73  |   (135)   ~ (all_52_4 = all_52_7)
% 173.43/25.73  |   (136)   ~ (all_52_4 = all_52_6)
% 173.43/25.73  |   (137)   ~ (all_52_4 = all_52_5)
% 173.43/25.73  |   (138)   ~ (all_52_3 = all_52_15)
% 173.43/25.73  |   (139)   ~ (all_52_3 = all_52_11)
% 173.43/25.73  |   (140)   ~ (all_52_3 = all_52_7)
% 173.43/25.73  |   (141)   ~ (all_52_2 = all_52_14)
% 173.43/25.73  |   (142)   ~ (all_52_2 = all_52_10)
% 173.43/25.73  |   (143)   ~ (all_52_2 = all_52_6)
% 173.43/25.73  |   (144)   ~ (all_52_2 = all_52_3)
% 173.43/25.73  |   (145)   ~ (all_52_1 = all_52_13)
% 173.43/25.73  |   (146)   ~ (all_52_1 = all_52_9)
% 173.43/25.73  |   (147)   ~ (all_52_1 = all_52_5)
% 173.43/25.73  |   (148)   ~ (all_52_1 = all_52_3)
% 173.43/25.73  |   (149)   ~ (all_52_1 = all_52_2)
% 173.43/25.73  |   (150)   ~ (all_52_0 = all_52_12)
% 173.43/25.73  |   (151)   ~ (all_52_0 = all_52_8)
% 173.43/25.73  |   (152)   ~ (all_52_0 = all_52_4)
% 173.43/25.73  |   (153)   ~ (all_52_0 = all_52_3)
% 173.43/25.73  |   (154)   ~ (all_52_0 = all_52_2)
% 173.43/25.73  |   (155)   ~ (all_52_0 = all_52_1)
% 173.43/25.73  |   (156)  op(e0, e0) = all_52_15
% 173.43/25.73  |   (157)  op(e0, e1) = all_52_11
% 173.43/25.73  |   (158)  op(e0, e2) = all_52_7
% 173.43/25.73  |   (159)  op(e0, e3) = all_52_3
% 173.43/25.73  |   (160)  op(e1, e0) = all_52_14
% 173.43/25.73  |   (161)  op(e1, e1) = all_52_10
% 173.43/25.73  |   (162)  op(e1, e2) = all_52_6
% 173.43/25.73  |   (163)  op(e1, e3) = all_52_2
% 173.43/25.73  |   (164)  op(e2, e0) = all_52_13
% 173.43/25.73  |   (165)  op(e2, e1) = all_52_9
% 173.43/25.73  |   (166)  op(e2, e2) = all_52_5
% 173.43/25.73  |   (167)  op(e2, e3) = all_52_1
% 173.43/25.73  |   (168)  op(e3, e0) = all_52_12
% 173.43/25.73  |   (169)  op(e3, e1) = all_52_8
% 173.43/25.73  |   (170)  op(e3, e2) = all_52_4
% 173.43/25.73  |   (171)  op(e3, e3) = all_52_0
% 173.43/25.73  | 
% 173.43/25.73  | DELTA: instantiating (1) with fresh symbols all_54_0, all_54_1, all_54_2,
% 173.43/25.73  |        all_54_3, all_54_4, all_54_5, all_54_6, all_54_7, all_54_8, all_54_9,
% 173.43/25.73  |        all_54_10, all_54_11, all_54_12, all_54_13, all_54_14, all_54_15 gives:
% 173.43/25.73  |   (172)  op(e3, e3) = all_54_0 & op(e3, e2) = all_54_1 & op(e3, e1) = all_54_2
% 173.43/25.73  |          & op(e3, e0) = all_54_3 & op(e2, e3) = all_54_4 & op(e2, e2) =
% 173.43/25.73  |          all_54_5 & op(e2, e1) = all_54_6 & op(e2, e0) = all_54_7 & op(e1, e3)
% 173.43/25.73  |          = all_54_8 & op(e1, e2) = all_54_9 & op(e1, e1) = all_54_10 & op(e1,
% 173.43/25.73  |            e0) = all_54_11 & op(e0, e3) = all_54_12 & op(e0, e2) = all_54_13 &
% 173.43/25.73  |          op(e0, e1) = all_54_14 & op(e0, e0) = all_54_15 & $i(all_54_0) &
% 173.43/25.73  |          $i(all_54_1) & $i(all_54_2) & $i(all_54_3) & $i(all_54_4) &
% 173.43/25.73  |          $i(all_54_5) & $i(all_54_6) & $i(all_54_7) & $i(all_54_8) &
% 173.43/25.73  |          $i(all_54_9) & $i(all_54_10) & $i(all_54_11) & $i(all_54_12) &
% 173.43/25.73  |          $i(all_54_13) & $i(all_54_14) & $i(all_54_15) & (all_54_0 = e3 |
% 173.43/25.73  |            all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0) & (all_54_1 = e3 |
% 173.43/25.73  |            all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0) & (all_54_2 = e3 |
% 173.43/25.73  |            all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0) & (all_54_3 = e3 |
% 173.43/25.73  |            all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0) & (all_54_4 = e3 |
% 173.43/25.73  |            all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0) & (all_54_5 = e3 |
% 173.43/25.73  |            all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0) & (all_54_6 = e3 |
% 173.43/25.73  |            all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0) & (all_54_7 = e3 |
% 173.43/25.73  |            all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0) & (all_54_8 = e3 |
% 173.43/25.73  |            all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0) & (all_54_9 = e3 |
% 173.43/25.73  |            all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0) & (all_54_10 = e3 |
% 173.43/25.73  |            all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0) & (all_54_11 = e3
% 173.43/25.73  |            | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0) & (all_54_12 =
% 173.43/25.73  |            e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0) & (all_54_13
% 173.43/25.73  |            = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0) &
% 173.43/25.73  |          (all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0) &
% 173.43/25.73  |          (all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0)
% 173.43/25.73  | 
% 173.43/25.73  | ALPHA: (172) implies:
% 173.43/25.73  |   (173)  op(e0, e0) = all_54_15
% 173.43/25.73  |   (174)  op(e0, e1) = all_54_14
% 173.43/25.73  |   (175)  op(e0, e2) = all_54_13
% 173.43/25.73  |   (176)  op(e0, e3) = all_54_12
% 173.43/25.73  |   (177)  op(e1, e0) = all_54_11
% 173.43/25.73  |   (178)  op(e1, e1) = all_54_10
% 173.43/25.73  |   (179)  op(e1, e2) = all_54_9
% 173.43/25.73  |   (180)  op(e1, e3) = all_54_8
% 173.43/25.73  |   (181)  op(e2, e0) = all_54_7
% 173.43/25.73  |   (182)  op(e2, e1) = all_54_6
% 173.43/25.73  |   (183)  op(e2, e2) = all_54_5
% 173.43/25.73  |   (184)  op(e2, e3) = all_54_4
% 173.43/25.73  |   (185)  op(e3, e0) = all_54_3
% 173.43/25.74  |   (186)  op(e3, e1) = all_54_2
% 173.43/25.74  |   (187)  op(e3, e2) = all_54_1
% 173.43/25.74  |   (188)  op(e3, e3) = all_54_0
% 173.43/25.74  |   (189)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 173.43/25.74  |   (190)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 173.43/25.74  |   (191)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 173.43/25.74  |   (192)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 173.43/25.74  |   (193)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 173.43/25.74  |   (194)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 173.43/25.74  |   (195)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 173.43/25.74  |   (196)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 173.43/25.74  |   (197)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 173.43/25.74  |   (198)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 173.43/25.74  |   (199)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 173.43/25.74  |   (200)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 173.43/25.74  |   (201)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 173.43/25.74  |   (202)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 173.43/25.74  |   (203)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 173.43/25.74  |   (204)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 173.43/25.74  | 
% 173.43/25.74  | DELTA: instantiating (2) with fresh symbols all_56_0, all_56_1, all_56_2,
% 173.43/25.74  |        all_56_3, all_56_4, all_56_5, all_56_6, all_56_7, all_56_8, all_56_9,
% 173.43/25.74  |        all_56_10, all_56_11, all_56_12, all_56_13, all_56_14, all_56_15 gives:
% 173.43/25.75  |   (205)  ((all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 173.43/25.75  |              e3) | (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3,
% 173.43/25.75  |                e0) = e3)) & ((all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 =
% 173.43/25.75  |              e3 & op(e2, e3) = e3) | (all_56_6 = e3 & op(e1, e3) = e3) |
% 173.43/25.75  |            (all_56_12 = e3 & op(e0, e3) = e3)) & ((all_56_0 = e2 & op(e3, e3)
% 173.43/25.75  |              = e2) | (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_4 = e2 &
% 173.43/25.75  |              op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)) &
% 173.43/25.75  |          ((all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 173.43/25.75  |              e2) | (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 &
% 173.43/25.75  |              op(e0, e3) = e2)) & ((all_56_0 = e1 & op(e3, e3) = e1) |
% 173.43/25.75  |            (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_4 = e1 & op(e3, e1) =
% 173.43/25.75  |              e1) | (all_56_9 = e1 & op(e3, e0) = e1)) & ((all_56_0 = e1 &
% 173.43/25.75  |              op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_6
% 173.43/25.75  |              = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)) &
% 173.43/25.75  |          ((all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 173.43/25.75  |              e0) | (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3,
% 173.43/25.75  |                e0) = e0)) & ((all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 =
% 173.43/25.75  |              e0 & op(e2, e3) = e0) | (all_56_6 = e0 & op(e1, e3) = e0) |
% 173.43/25.75  |            (all_56_12 = e0 & op(e0, e3) = e0)) & ((all_56_1 = e3 & op(e3, e2)
% 173.43/25.75  |              = e3) | (all_56_3 = e3 & op(e2, e2) = e3) | (all_56_7 = e3 &
% 173.43/25.75  |              op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)) &
% 173.43/25.75  |          ((all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 173.43/25.75  |              e2) | (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 &
% 173.43/25.75  |              op(e0, e2) = e2)) & ((all_56_1 = e1 & op(e3, e2) = e1) |
% 173.43/25.75  |            (all_56_3 = e1 & op(e2, e2) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 173.43/25.75  |              e1) | (all_56_13 = e1 & op(e0, e2) = e1)) & ((all_56_1 = e0 &
% 173.43/25.75  |              op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) | (all_56_7
% 173.43/25.75  |              = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)) &
% 173.43/25.75  |          ((all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 173.43/25.75  |              e3) | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 173.43/25.75  |              op(e2, e0) = e3)) & ((all_56_2 = e2 & op(e2, e3) = e2) |
% 173.43/25.75  |            (all_56_3 = e2 & op(e2, e2) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 173.43/25.75  |              e2) | (all_56_10 = e2 & op(e2, e0) = e2)) & ((all_56_2 = e1 &
% 173.43/25.75  |              op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) | (all_56_5
% 173.43/25.75  |              = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)) &
% 173.43/25.75  |          ((all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 173.43/25.75  |              e0) | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 &
% 173.43/25.75  |              op(e2, e0) = e0)) & ((all_56_4 = e3 & op(e3, e1) = e3) |
% 173.43/25.75  |            (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_8 = e3 & op(e1, e1) =
% 173.43/25.75  |              e3) | (all_56_14 = e3 & op(e0, e1) = e3)) & ((all_56_4 = e2 &
% 173.43/25.75  |              op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_8
% 173.43/25.75  |              = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)) &
% 173.43/25.75  |          ((all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 173.43/25.75  |              e1) | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 &
% 173.43/25.75  |              op(e0, e1) = e1)) & ((all_56_4 = e0 & op(e3, e1) = e0) |
% 173.43/25.75  |            (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_8 = e0 & op(e1, e1) =
% 173.43/25.75  |              e0) | (all_56_14 = e0 & op(e0, e1) = e0)) & ((all_56_6 = e3 &
% 173.43/25.75  |              op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_8
% 173.43/25.75  |              = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)) &
% 173.43/25.75  |          ((all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 173.43/25.75  |              e2) | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 &
% 173.43/25.75  |              op(e1, e0) = e2)) & ((all_56_6 = e1 & op(e1, e3) = e1) |
% 173.43/25.75  |            (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_8 = e1 & op(e1, e1) =
% 173.43/25.75  |              e1) | (all_56_11 = e1 & op(e1, e0) = e1)) & ((all_56_6 = e0 &
% 173.43/25.75  |              op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_8
% 173.43/25.75  |              = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 173.43/25.75  |          ((all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 173.43/25.75  |              e3) | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 173.43/25.75  |              op(e0, e0) = e3)) & ((all_56_9 = e2 & op(e3, e0) = e2) |
% 173.43/25.75  |            (all_56_10 = e2 & op(e2, e0) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 173.43/25.75  |              e2) | (all_56_15 = e2 & op(e0, e0) = e2)) & ((all_56_9 = e1 &
% 173.43/25.75  |              op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 173.43/25.75  |            (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 173.43/25.75  |              e1)) & ((all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 &
% 173.43/25.75  |              op(e0, e2) = e3) | (all_56_14 = e3 & op(e0, e1) = e3) |
% 173.43/25.75  |            (all_56_15 = e3 & op(e0, e0) = e3)) & ((all_56_12 = e2 & op(e0, e3)
% 173.43/25.75  |              = e2) | (all_56_13 = e2 & op(e0, e2) = e2) | (all_56_14 = e2 &
% 173.43/25.75  |              op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)) &
% 173.43/25.75  |          ((all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 173.43/25.75  |              e1) | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 173.43/25.75  |              op(e0, e0) = e1)) & ((all_56_15 = e0 & op(e0, e0) = e0) |
% 173.43/25.75  |            (((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0)
% 173.43/25.75  |                  = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 =
% 173.43/25.75  |                  e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 173.43/25.75  |                (all_56_14 = e0 & op(e0, e1) = e0))))
% 173.43/25.75  | 
% 173.43/25.75  | ALPHA: (205) implies:
% 173.43/25.75  |   (206)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) =
% 173.43/25.75  |                e0) | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 173.43/25.75  |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 173.43/25.75  |              (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 173.43/25.75  |                = e0)))
% 173.43/25.75  |   (207)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 173.43/25.75  |            e1) | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 173.43/25.75  |              e0) = e1)
% 173.43/25.75  |   (208)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 173.43/25.75  |            e2) | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 173.43/25.75  |              e0) = e2)
% 173.43/25.75  |   (209)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 173.43/25.75  |            e3) | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 173.43/25.75  |              e0) = e3)
% 173.43/25.75  |   (210)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 173.43/25.75  |            e1) | (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 173.43/25.75  |              e0) = e1)
% 173.43/25.75  |   (211)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 173.43/25.75  |            e2) | (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0,
% 173.43/25.75  |              e0) = e2)
% 173.43/25.75  |   (212)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 173.43/25.75  |            e3) | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0,
% 173.43/25.75  |              e0) = e3)
% 173.43/25.75  |   (213)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0)
% 173.43/25.75  |          | (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 173.43/25.75  |            e0)
% 173.43/25.75  |   (214)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1)
% 173.43/25.75  |          | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 173.43/25.75  |            e1)
% 173.43/25.75  |   (215)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2)
% 173.43/25.75  |          | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 173.43/25.75  |            e2)
% 173.43/25.75  |   (216)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3)
% 173.43/25.75  |          | (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 173.43/25.75  |            e3)
% 173.43/25.75  |   (217)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0)
% 173.43/25.75  |          | (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 173.43/25.75  |            e0)
% 173.43/25.75  |   (218)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 173.43/25.75  |          | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 173.43/25.75  |            e1)
% 173.43/25.75  |   (219)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2)
% 173.43/25.75  |          | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 173.43/25.75  |            e2)
% 173.43/25.75  |   (220)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 173.43/25.75  |          | (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 173.43/25.75  |            e3)
% 173.43/25.75  |   (221)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 173.43/25.75  |          | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 173.43/25.75  |            e0)
% 173.43/25.75  |   (222)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 173.43/25.75  |          | (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 173.43/25.75  |            e1)
% 173.43/25.75  |   (223)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 173.43/25.75  |          | (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 173.43/25.75  |            e2)
% 173.43/25.75  |   (224)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 173.43/25.75  |          | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 173.43/25.75  |            e3)
% 173.43/25.75  |   (225)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 173.43/25.75  |          | (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 173.43/25.75  |            e0)
% 173.43/25.75  |   (226)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 173.43/25.75  |          | (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 173.43/25.75  |            e1)
% 173.43/25.75  |   (227)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 173.43/25.75  |          | (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 173.43/25.75  |            e2)
% 173.43/25.75  |   (228)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 173.43/25.75  |          | (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 173.43/25.75  |            e3)
% 173.43/25.76  |   (229)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 173.43/25.76  |          | (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 173.43/25.76  |            e0)
% 173.43/25.76  |   (230)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 173.43/25.76  |          | (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 173.43/25.76  |            e0)
% 173.43/25.76  |   (231)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 173.43/25.76  |          | (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 173.43/25.76  |            e1)
% 173.43/25.76  |   (232)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 173.43/25.76  |          | (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 173.43/25.76  |            e1)
% 173.43/25.76  |   (233)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 173.43/25.76  |          | (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 173.43/25.76  |            e2)
% 173.43/25.76  |   (234)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 173.43/25.76  |          | (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 173.43/25.76  |            e2)
% 173.43/25.76  |   (235)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 173.43/25.76  |          | (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 173.43/25.76  |            e3)
% 173.43/25.76  |   (236)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 173.43/25.76  |          | (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 173.43/25.76  |            e3)
% 173.43/25.76  | 
% 173.43/25.76  | DELTA: instantiating (10) with fresh symbols all_57_0, all_57_1, all_57_2,
% 173.43/25.76  |        all_57_3, all_57_4, all_57_5, all_57_6, all_57_7, all_57_8, all_57_9,
% 173.43/25.76  |        all_57_10, all_57_11, all_57_12, all_57_13, all_57_14, all_57_15,
% 173.43/25.76  |        all_57_16, all_57_17, all_57_18, all_57_19, all_57_20, all_57_21,
% 173.43/25.76  |        all_57_22, all_57_23, all_57_24, all_57_25, all_57_26, all_57_27,
% 173.43/25.76  |        all_57_28, all_57_29, all_57_30, all_57_31 gives:
% 173.43/25.77  |   (237)  ((all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~
% 173.43/25.77  |              (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~
% 173.43/25.77  |              (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3,
% 173.43/25.77  |                all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 173.43/25.77  |                e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) = all_57_17 &
% 173.43/25.77  |              op(e3, e0) = all_57_18 & op(e2, e3) = e3 & $i(all_57_0) &
% 173.43/25.77  |              $i(all_57_2) & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 173.43/25.77  |              $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3 &
% 173.43/25.77  |              all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 173.43/25.77  |              (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 173.43/25.77  |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) =
% 173.43/25.77  |              all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 173.43/25.77  |              op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 173.43/25.77  |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 173.43/25.77  |              $i(all_57_18) & $i(all_57_28)) | (all_57_3 = all_57_28 &
% 173.43/25.77  |              all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 = e3) &  ~
% 173.43/25.77  |              (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 173.43/25.77  |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 &
% 173.43/25.77  |              op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3,
% 173.43/25.77  |                e2) = all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 173.43/25.77  |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 173.43/25.77  |              $i(all_57_16) & $i(all_57_17) & $i(all_57_28)) | (all_57_4 =
% 173.43/25.77  |              all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 = e2)
% 173.43/25.77  |              &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) &
% 173.43/25.77  |              op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 173.43/25.77  |                all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 173.43/25.77  |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 173.43/25.77  |              op(e2, e0) = all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 173.43/25.77  |              $i(all_57_7) & $i(all_57_20) & $i(all_57_21) & $i(all_57_29)) |
% 173.43/25.77  |            (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~
% 173.43/25.77  |              (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 173.43/25.77  |              (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2,
% 173.43/25.77  |                all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 173.43/25.77  |                e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = e2 &
% 173.43/25.77  |              op(e2, e0) = all_57_21 & op(e1, e2) = e2 & $i(all_57_4) &
% 173.43/25.77  |              $i(all_57_5) & $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 173.43/25.77  |              $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2 &
% 173.43/25.77  |              all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 173.43/25.77  |              (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 173.43/25.77  |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 173.43/25.77  |              all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 173.43/25.77  |              op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 173.43/25.77  |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_19) &
% 173.43/25.77  |              $i(all_57_20) & $i(all_57_29)) | (all_57_8 = all_57_30 &
% 173.43/25.77  |              all_57_17 = e1 & all_57_22 = e1 &  ~ (all_57_9 = e2) &  ~
% 173.43/25.77  |              (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 173.43/25.77  |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 173.43/25.77  |                all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 173.43/25.77  |                e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 &
% 173.43/25.77  |              op(e1, e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 173.43/25.77  |              $i(all_57_11) & $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) |
% 173.43/25.77  |            (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 173.43/25.77  |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 173.43/25.77  |              (all_57_30 = e2) & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8
% 173.43/25.77  |              & op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 173.43/25.77  |              op(e1, e3) = all_57_22 & op(e1, e2) = e1 & op(e1, e1) = all_57_30
% 173.43/25.77  |              & op(e1, e0) = all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 173.43/25.77  |              $i(all_57_11) & $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 173.43/25.77  |            (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 173.43/25.77  |                  all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 173.43/25.77  |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 173.43/25.77  |                  op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 173.43/25.77  |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 173.43/25.77  |                  op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0)
% 173.43/25.77  |                  = e1 & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 173.43/25.77  |                  $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~
% 173.43/25.77  |                  (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1)
% 173.43/25.77  |                  &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 &
% 173.43/25.77  |                  op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14
% 173.43/25.77  |                  & op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 &
% 173.43/25.77  |                  op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31 &
% 173.43/25.77  |                  $i(all_57_12) & $i(all_57_13) & $i(all_57_14) & $i(all_57_15)
% 173.43/25.77  |                  & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) & (all_57_31
% 173.43/25.77  |                    = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0)
% 173.43/25.77  |                    | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 173.43/25.77  |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))) &
% 173.43/25.77  |          ((all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) =
% 173.43/25.77  |              e3) | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 &
% 173.43/25.77  |              op(e0, e0) = e3) | ( ~ (all_57_19 = e2) & op(e2, e3) = all_57_19
% 173.43/25.77  |              & $i(all_57_19))) & ((all_57_28 = e3 & op(e3, e3) = e3) |
% 173.43/25.77  |            (all_57_29 = e3 & op(e2, e2) = e3) | (all_57_30 = e3 & op(e1, e1) =
% 173.43/25.77  |              e3) | (all_57_31 = e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 173.43/25.77  |              op(e1, e3) = all_57_22 & $i(all_57_22))) & ((all_57_28 = e3 &
% 173.43/25.77  |              op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3) |
% 173.43/25.77  |            (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 173.43/25.77  |              e3) | ( ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 173.43/25.77  |              $i(all_57_25))) & ((all_57_28 = e3 & op(e3, e3) = e3) |
% 173.43/25.77  |            (all_57_29 = e3 & op(e2, e2) = e3) | (all_57_30 = e3 & op(e1, e1) =
% 173.43/25.77  |              e3) | (all_57_31 = e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 173.43/25.77  |              op(e3, e3) = all_57_28 & $i(all_57_28))) & ((all_57_28 = e2 &
% 173.43/25.77  |              op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2) |
% 173.43/25.77  |            (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 173.43/25.77  |              e2) | ( ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 173.43/25.77  |              $i(all_57_16))) & ((all_57_28 = e2 & op(e3, e3) = e2) |
% 173.43/25.77  |            (all_57_29 = e2 & op(e2, e2) = e2) | (all_57_30 = e2 & op(e1, e1) =
% 173.43/25.77  |              e2) | (all_57_31 = e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 173.43/25.77  |              op(e1, e2) = all_57_23 & $i(all_57_23))) & ((all_57_28 = e2 &
% 173.43/25.77  |              op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2) |
% 173.43/25.77  |            (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 173.43/25.77  |              e2) | ( ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 173.43/25.77  |              $i(all_57_26))) & ((all_57_28 = e2 & op(e3, e3) = e2) |
% 173.43/25.77  |            (all_57_29 = e2 & op(e2, e2) = e2) | (all_57_30 = e2 & op(e1, e1) =
% 173.43/25.77  |              e2) | (all_57_31 = e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 173.43/25.77  |              op(e2, e2) = all_57_29 & $i(all_57_29))) & ((all_57_28 = e1 &
% 173.43/25.77  |              op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1) |
% 173.43/25.77  |            (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0, e0) =
% 173.43/25.77  |              e1) | ( ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 173.43/25.77  |              $i(all_57_17))) & ((all_57_28 = e1 & op(e3, e3) = e1) |
% 173.43/25.77  |            (all_57_29 = e1 & op(e2, e2) = e1) | (all_57_30 = e1 & op(e1, e1) =
% 173.43/25.77  |              e1) | (all_57_31 = e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 173.43/25.77  |              op(e2, e1) = all_57_20 & $i(all_57_20))) & ((all_57_28 = e1 &
% 173.43/25.77  |              op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1) |
% 173.43/25.77  |            (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0, e0) =
% 173.43/25.77  |              e1) | ( ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 173.43/25.77  |              $i(all_57_27))) & ((all_57_28 = e1 & op(e3, e3) = e1) |
% 173.43/25.77  |            (all_57_29 = e1 & op(e2, e2) = e1) | (all_57_30 = e1 & op(e1, e1) =
% 173.43/25.77  |              e1) | (all_57_31 = e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 173.43/25.77  |              op(e1, e1) = all_57_30 & $i(all_57_30))) & ((all_57_28 = e0 &
% 173.43/25.77  |              op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0) |
% 173.43/25.77  |            (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 173.43/25.77  |              e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 173.43/25.77  |              $i(all_57_18))) & ((all_57_28 = e0 & op(e3, e3) = e0) |
% 173.43/25.77  |            (all_57_29 = e0 & op(e2, e2) = e0) | (all_57_30 = e0 & op(e1, e1) =
% 173.43/25.77  |              e0) | (all_57_31 = e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 173.43/25.77  |              op(e2, e0) = all_57_21 & $i(all_57_21))) & ((all_57_28 = e0 &
% 173.43/25.77  |              op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0) |
% 173.43/25.77  |            (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 173.43/25.77  |              e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 173.43/25.77  |              $i(all_57_24))) & ((all_57_28 = e0 & op(e3, e3) = e0) |
% 173.43/25.77  |            (all_57_29 = e0 & op(e2, e2) = e0) | (all_57_30 = e0 & op(e1, e1) =
% 173.43/25.77  |              e0) | (op(e0, e0) = all_57_31 & $i(all_57_31)))
% 173.43/25.77  | 
% 173.43/25.77  | ALPHA: (237) implies:
% 173.43/25.77  |   (238)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) =
% 173.43/25.77  |            e0) | (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) = all_57_31
% 173.43/25.77  |            & $i(all_57_31))
% 173.43/25.77  |   (239)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) =
% 173.43/25.77  |            e0) | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0,
% 173.43/25.77  |              e0) = e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 173.43/25.77  |            $i(all_57_24))
% 173.43/25.77  |   (240)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) =
% 173.43/25.77  |            e0) | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0,
% 173.43/25.77  |              e0) = e0) | ( ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 173.43/25.77  |            $i(all_57_21))
% 173.43/25.77  |   (241)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) =
% 173.43/25.77  |            e0) | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0,
% 173.43/25.77  |              e0) = e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 173.43/25.77  |            $i(all_57_18))
% 173.43/25.77  |   (242)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) =
% 173.43/25.77  |            e1) | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0,
% 173.43/25.77  |              e0) = e1) | ( ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 173.43/25.77  |            $i(all_57_30))
% 173.43/25.77  |   (243)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) =
% 173.43/25.77  |            e1) | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0,
% 173.43/25.77  |              e0) = e1) | ( ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 173.43/25.77  |            $i(all_57_27))
% 173.43/25.77  |   (244)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) =
% 173.43/25.77  |            e1) | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0,
% 173.43/25.77  |              e0) = e1) | ( ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 173.43/25.77  |            $i(all_57_20))
% 173.43/25.77  |   (245)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) =
% 173.43/25.77  |            e1) | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0,
% 173.43/25.77  |              e0) = e1) | ( ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 173.43/25.77  |            $i(all_57_17))
% 173.43/25.77  |   (246)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) =
% 173.43/25.77  |            e2) | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0,
% 173.43/25.77  |              e0) = e2) | ( ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 173.43/25.77  |            $i(all_57_29))
% 173.43/25.77  |   (247)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) =
% 173.43/25.77  |            e2) | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0,
% 173.43/25.77  |              e0) = e2) | ( ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 173.43/25.77  |            $i(all_57_26))
% 173.43/25.77  |   (248)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) =
% 173.43/25.77  |            e2) | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0,
% 173.43/25.77  |              e0) = e2) | ( ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 173.43/25.77  |            $i(all_57_23))
% 173.43/25.77  |   (249)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) =
% 173.43/25.77  |            e2) | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0,
% 173.43/25.77  |              e0) = e2) | ( ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 173.43/25.77  |            $i(all_57_16))
% 173.43/25.78  |   (250)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) =
% 173.43/25.78  |            e3) | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0,
% 173.43/25.78  |              e0) = e3) | ( ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 173.43/25.78  |            $i(all_57_28))
% 173.43/25.78  |   (251)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) =
% 173.43/25.78  |            e3) | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0,
% 173.43/25.78  |              e0) = e3) | ( ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 173.43/25.78  |            $i(all_57_25))
% 173.43/25.78  |   (252)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) =
% 173.43/25.78  |            e3) | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0,
% 173.43/25.78  |              e0) = e3) | ( ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 173.43/25.78  |            $i(all_57_22))
% 173.43/25.78  |   (253)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) =
% 173.43/25.78  |            e3) | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0,
% 173.43/25.78  |              e0) = e3) | ( ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 173.43/25.78  |            $i(all_57_19))
% 173.43/25.78  |   (254)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~
% 173.43/25.78  |            (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~
% 173.43/25.78  |            (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 173.43/25.78  |            = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 173.43/25.78  |            & op(e3, e2) = e3 & op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 173.43/25.78  |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 173.43/25.78  |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)) | (all_57_2 =
% 173.43/25.78  |            all_57_28 & all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) & 
% 173.43/25.78  |            ~ (all_57_1 = e2) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) &
% 173.43/25.78  |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_18) = all_57_3 &
% 173.43/25.78  |            op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2)
% 173.43/25.78  |            = all_57_16 & op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1, e3)
% 173.43/25.78  |            = e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 173.43/25.78  |            $i(all_57_18) & $i(all_57_28)) | (all_57_3 = all_57_28 & all_57_18
% 173.43/25.78  |            = e3 & all_57_25 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 173.43/25.78  |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3, all_57_16) =
% 173.43/25.78  |            all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3, all_57_28) =
% 173.43/25.78  |            all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3,
% 173.43/25.78  |              e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 173.43/25.78  |            $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 173.43/25.78  |            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16
% 173.43/25.78  |            = e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 173.43/25.78  |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 173.43/25.78  |              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 173.43/25.78  |              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29
% 173.43/25.78  |            & op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 173.43/25.78  |            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 173.43/25.78  |            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 173.43/25.78  |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0)
% 173.43/25.78  |            &  ~ (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2,
% 173.43/25.78  |              all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3)
% 173.43/25.78  |            = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0)
% 173.43/25.78  |            = all_57_21 & op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 173.43/25.78  |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) |
% 173.43/25.78  |          (all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~
% 173.43/25.78  |            (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 173.43/25.78  |            (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20)
% 173.43/25.78  |            = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 173.43/25.78  |            & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2
% 173.43/25.78  |            & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 173.43/25.78  |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) | (all_57_8 =
% 173.43/25.78  |            all_57_30 & all_57_17 = e1 & all_57_22 = e1 &  ~ (all_57_9 = e2) & 
% 173.43/25.78  |            ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 173.43/25.78  |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1, all_57_24)
% 173.43/25.78  |            = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 173.43/25.78  |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 173.43/25.78  |            all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 173.43/25.78  |            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 173.43/25.78  |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) & 
% 173.43/25.78  |            ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 173.43/25.78  |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24)
% 173.43/25.78  |            = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 173.43/25.78  |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 173.43/25.78  |            all_57_24 & $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 173.43/25.78  |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) | (op(e0, e1) =
% 173.43/25.78  |            all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 & all_57_24 =
% 173.43/25.78  |                e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) &
% 173.43/25.78  |                 ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1, all_57_22) =
% 173.43/25.78  |                all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1, all_57_30) =
% 173.43/25.78  |                all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 173.43/25.78  |                op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 173.43/25.78  |                $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 173.43/25.78  |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 173.43/25.78  |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) =
% 173.43/25.78  |                all_57_12 & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) =
% 173.43/25.78  |                all_57_14 & op(e0, all_57_31) = all_57_15 & op(e0, e3) =
% 173.43/25.78  |                all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31 &
% 173.43/25.78  |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 173.43/25.78  |                $i(all_57_25) & $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 173.43/25.78  |                  | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 173.43/25.78  |                  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 173.43/25.78  |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 173.43/25.78  | 
% 173.43/25.78  | GROUND_INST: instantiating (function-axioms) with all_32_2, all_36_2, e0, e0,
% 173.43/25.78  |              simplifying with (78), (84) gives:
% 173.43/25.78  |   (255)  all_36_2 = all_32_2
% 173.43/25.78  | 
% 173.43/25.78  | GROUND_INST: instantiating (function-axioms) with all_22_2, all_36_2, e0, e0,
% 173.43/25.78  |              simplifying with (63), (84) gives:
% 173.43/25.78  |   (256)  all_36_2 = all_22_2
% 173.43/25.78  | 
% 173.43/25.78  | GROUND_INST: instantiating (function-axioms) with all_8_2, all_36_2, e0, e0,
% 173.43/25.78  |              simplifying with (42), (84) gives:
% 173.43/25.78  |   (257)  all_36_2 = all_8_2
% 173.43/25.78  | 
% 173.43/25.78  | GROUND_INST: instantiating (function-axioms) with all_38_2, all_52_15, e0, e0,
% 173.43/25.78  |              simplifying with (87), (156) gives:
% 173.43/25.78  |   (258)  all_52_15 = all_38_2
% 173.43/25.78  | 
% 173.43/25.78  | GROUND_INST: instantiating (function-axioms) with all_22_2, all_52_15, e0, e0,
% 173.43/25.78  |              simplifying with (63), (156) gives:
% 173.43/25.78  |   (259)  all_52_15 = all_22_2
% 173.43/25.78  | 
% 173.72/25.78  | GROUND_INST: instantiating (function-axioms) with all_52_15, all_54_15, e0,
% 173.72/25.78  |              e0, simplifying with (156), (173) gives:
% 173.72/25.78  |   (260)  all_54_15 = all_52_15
% 173.72/25.78  | 
% 173.72/25.78  | GROUND_INST: instantiating (function-axioms) with all_6_2, all_54_15, e0, e0,
% 173.72/25.78  |              simplifying with (39), (173) gives:
% 173.72/25.78  |   (261)  all_54_15 = all_6_2
% 173.72/25.78  | 
% 173.72/25.78  | GROUND_INST: instantiating (function-axioms) with all_52_11, all_54_14, e1,
% 173.72/25.78  |              e0, simplifying with (157), (174) gives:
% 173.72/25.78  |   (262)  all_54_14 = all_52_11
% 173.72/25.78  | 
% 173.72/25.78  | GROUND_INST: instantiating (function-axioms) with all_52_7, all_54_13, e2, e0,
% 173.72/25.78  |              simplifying with (158), (175) gives:
% 173.72/25.78  |   (263)  all_54_13 = all_52_7
% 173.72/25.78  | 
% 173.72/25.78  | GROUND_INST: instantiating (function-axioms) with all_52_3, all_54_12, e3, e0,
% 173.72/25.78  |              simplifying with (159), (176) gives:
% 173.72/25.78  |   (264)  all_54_12 = all_52_3
% 173.72/25.78  | 
% 173.72/25.78  | GROUND_INST: instantiating (function-axioms) with all_52_14, all_54_11, e0,
% 173.72/25.78  |              e1, simplifying with (160), (177) gives:
% 173.72/25.78  |   (265)  all_54_11 = all_52_14
% 173.72/25.78  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_44_2, all_52_10, e1, e1,
% 173.72/25.79  |              simplifying with (96), (161) gives:
% 173.72/25.79  |   (266)  all_52_10 = all_44_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_26_2, all_52_10, e1, e1,
% 173.72/25.79  |              simplifying with (69), (161) gives:
% 173.72/25.79  |   (267)  all_52_10 = all_26_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_24_2, all_52_10, e1, e1,
% 173.72/25.79  |              simplifying with (66), (161) gives:
% 173.72/25.79  |   (268)  all_52_10 = all_24_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_14_2, all_52_10, e1, e1,
% 173.72/25.79  |              simplifying with (51), (161) gives:
% 173.72/25.79  |   (269)  all_52_10 = all_14_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_42_2, all_54_10, e1, e1,
% 173.72/25.79  |              simplifying with (93), (178) gives:
% 173.72/25.79  |   (270)  all_54_10 = all_42_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_24_2, all_54_10, e1, e1,
% 173.72/25.79  |              simplifying with (66), (178) gives:
% 173.72/25.79  |   (271)  all_54_10 = all_24_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_16_2, all_54_10, e1, e1,
% 173.72/25.79  |              simplifying with (54), (178) gives:
% 173.72/25.79  |   (272)  all_54_10 = all_16_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_52_6, all_54_9, e2, e1,
% 173.72/25.79  |              simplifying with (162), (179) gives:
% 173.72/25.79  |   (273)  all_54_9 = all_52_6
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_52_2, all_54_8, e3, e1,
% 173.72/25.79  |              simplifying with (163), (180) gives:
% 173.72/25.79  |   (274)  all_54_8 = all_52_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_52_13, all_54_7, e0, e2,
% 173.72/25.79  |              simplifying with (164), (181) gives:
% 173.72/25.79  |   (275)  all_54_7 = all_52_13
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_52_9, all_54_6, e1, e2,
% 173.72/25.79  |              simplifying with (165), (182) gives:
% 173.72/25.79  |   (276)  all_54_6 = all_52_9
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_12_2, all_28_2, e2, e2,
% 173.72/25.79  |              simplifying with (48), (72) gives:
% 173.72/25.79  |   (277)  all_28_2 = all_12_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_28_2, all_34_2, e2, e2,
% 173.72/25.79  |              simplifying with (72), (81) gives:
% 173.72/25.79  |   (278)  all_34_2 = all_28_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_34_2, all_46_2, e2, e2,
% 173.72/25.79  |              simplifying with (81), (99) gives:
% 173.72/25.79  |   (279)  all_46_2 = all_34_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_50_2, all_52_5, e2, e2,
% 173.72/25.79  |              simplifying with (105), (166) gives:
% 173.72/25.79  |   (280)  all_52_5 = all_50_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_46_2, all_52_5, e2, e2,
% 173.72/25.79  |              simplifying with (99), (166) gives:
% 173.72/25.79  |   (281)  all_52_5 = all_46_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_52_5, all_54_5, e2, e2,
% 173.72/25.79  |              simplifying with (166), (183) gives:
% 173.72/25.79  |   (282)  all_54_5 = all_52_5
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_10_2, all_54_5, e2, e2,
% 173.72/25.79  |              simplifying with (45), (183) gives:
% 173.72/25.79  |   (283)  all_54_5 = all_10_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_52_1, all_54_4, e3, e2,
% 173.72/25.79  |              simplifying with (167), (184) gives:
% 173.72/25.79  |   (284)  all_54_4 = all_52_1
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_52_12, all_54_3, e0, e3,
% 173.72/25.79  |              simplifying with (168), (185) gives:
% 173.72/25.79  |   (285)  all_54_3 = all_52_12
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_52_8, all_54_2, e1, e3,
% 173.72/25.79  |              simplifying with (169), (186) gives:
% 173.72/25.79  |   (286)  all_54_2 = all_52_8
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_52_4, all_54_1, e2, e3,
% 173.72/25.79  |              simplifying with (170), (187) gives:
% 173.72/25.79  |   (287)  all_54_1 = all_52_4
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_30_2, all_40_2, e3, e3,
% 173.72/25.79  |              simplifying with (75), (90) gives:
% 173.72/25.79  |   (288)  all_40_2 = all_30_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_20_2, all_40_2, e3, e3,
% 173.72/25.79  |              simplifying with (60), (90) gives:
% 173.72/25.79  |   (289)  all_40_2 = all_20_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_20_2, all_48_2, e3, e3,
% 173.72/25.79  |              simplifying with (60), (102) gives:
% 173.72/25.79  |   (290)  all_48_2 = all_20_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_40_2, all_52_0, e3, e3,
% 173.72/25.79  |              simplifying with (90), (171) gives:
% 173.72/25.79  |   (291)  all_52_0 = all_40_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_18_2, all_52_0, e3, e3,
% 173.72/25.79  |              simplifying with (57), (171) gives:
% 173.72/25.79  |   (292)  all_52_0 = all_18_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_48_2, all_54_0, e3, e3,
% 173.72/25.79  |              simplifying with (102), (188) gives:
% 173.72/25.79  |   (293)  all_54_0 = all_48_2
% 173.72/25.79  | 
% 173.72/25.79  | GROUND_INST: instantiating (function-axioms) with all_4_2, all_54_0, e3, e3,
% 173.72/25.79  |              simplifying with (36), (188) gives:
% 173.72/25.79  |   (294)  all_54_0 = all_4_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (293), (294) imply:
% 173.72/25.79  |   (295)  all_48_2 = all_4_2
% 173.72/25.79  | 
% 173.72/25.79  | SIMP: (295) implies:
% 173.72/25.79  |   (296)  all_48_2 = all_4_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (282), (283) imply:
% 173.72/25.79  |   (297)  all_52_5 = all_10_2
% 173.72/25.79  | 
% 173.72/25.79  | SIMP: (297) implies:
% 173.72/25.79  |   (298)  all_52_5 = all_10_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (270), (271) imply:
% 173.72/25.79  |   (299)  all_42_2 = all_24_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (270), (272) imply:
% 173.72/25.79  |   (300)  all_42_2 = all_16_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (260), (261) imply:
% 173.72/25.79  |   (301)  all_52_15 = all_6_2
% 173.72/25.79  | 
% 173.72/25.79  | SIMP: (301) implies:
% 173.72/25.79  |   (302)  all_52_15 = all_6_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (291), (292) imply:
% 173.72/25.79  |   (303)  all_40_2 = all_18_2
% 173.72/25.79  | 
% 173.72/25.79  | SIMP: (303) implies:
% 173.72/25.79  |   (304)  all_40_2 = all_18_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (280), (281) imply:
% 173.72/25.79  |   (305)  all_50_2 = all_46_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (280), (298) imply:
% 173.72/25.79  |   (306)  all_50_2 = all_10_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (266), (267) imply:
% 173.72/25.79  |   (307)  all_44_2 = all_26_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (266), (268) imply:
% 173.72/25.79  |   (308)  all_44_2 = all_24_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (266), (269) imply:
% 173.72/25.79  |   (309)  all_44_2 = all_14_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (258), (259) imply:
% 173.72/25.79  |   (310)  all_38_2 = all_22_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (258), (302) imply:
% 173.72/25.79  |   (311)  all_38_2 = all_6_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (305), (306) imply:
% 173.72/25.79  |   (312)  all_46_2 = all_10_2
% 173.72/25.79  | 
% 173.72/25.79  | SIMP: (312) implies:
% 173.72/25.79  |   (313)  all_46_2 = all_10_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (290), (296) imply:
% 173.72/25.79  |   (314)  all_20_2 = all_4_2
% 173.72/25.79  | 
% 173.72/25.79  | SIMP: (314) implies:
% 173.72/25.79  |   (315)  all_20_2 = all_4_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (279), (313) imply:
% 173.72/25.79  |   (316)  all_34_2 = all_10_2
% 173.72/25.79  | 
% 173.72/25.79  | SIMP: (316) implies:
% 173.72/25.79  |   (317)  all_34_2 = all_10_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (307), (309) imply:
% 173.72/25.79  |   (318)  all_26_2 = all_14_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (307), (308) imply:
% 173.72/25.79  |   (319)  all_26_2 = all_24_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (299), (300) imply:
% 173.72/25.79  |   (320)  all_24_2 = all_16_2
% 173.72/25.79  | 
% 173.72/25.79  | SIMP: (320) implies:
% 173.72/25.79  |   (321)  all_24_2 = all_16_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (288), (289) imply:
% 173.72/25.79  |   (322)  all_30_2 = all_20_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (288), (304) imply:
% 173.72/25.79  |   (323)  all_30_2 = all_18_2
% 173.72/25.79  | 
% 173.72/25.79  | COMBINE_EQS: (310), (311) imply:
% 173.72/25.79  |   (324)  all_22_2 = all_6_2
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (324) implies:
% 173.72/25.80  |   (325)  all_22_2 = all_6_2
% 173.72/25.80  | 
% 173.72/25.80  | COMBINE_EQS: (255), (256) imply:
% 173.72/25.80  |   (326)  all_32_2 = all_22_2
% 173.72/25.80  | 
% 173.72/25.80  | COMBINE_EQS: (255), (257) imply:
% 173.72/25.80  |   (327)  all_32_2 = all_8_2
% 173.72/25.80  | 
% 173.72/25.80  | COMBINE_EQS: (278), (317) imply:
% 173.72/25.80  |   (328)  all_28_2 = all_10_2
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (328) implies:
% 173.72/25.80  |   (329)  all_28_2 = all_10_2
% 173.72/25.80  | 
% 173.72/25.80  | COMBINE_EQS: (326), (327) imply:
% 173.72/25.80  |   (330)  all_22_2 = all_8_2
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (330) implies:
% 173.72/25.80  |   (331)  all_22_2 = all_8_2
% 173.72/25.80  | 
% 173.72/25.80  | COMBINE_EQS: (322), (323) imply:
% 173.72/25.80  |   (332)  all_20_2 = all_18_2
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (332) implies:
% 173.72/25.80  |   (333)  all_20_2 = all_18_2
% 173.72/25.80  | 
% 173.72/25.80  | COMBINE_EQS: (277), (329) imply:
% 173.72/25.80  |   (334)  all_12_2 = all_10_2
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (334) implies:
% 173.72/25.80  |   (335)  all_12_2 = all_10_2
% 173.72/25.80  | 
% 173.72/25.80  | COMBINE_EQS: (318), (319) imply:
% 173.72/25.80  |   (336)  all_24_2 = all_14_2
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (336) implies:
% 173.72/25.80  |   (337)  all_24_2 = all_14_2
% 173.72/25.80  | 
% 173.72/25.80  | COMBINE_EQS: (321), (337) imply:
% 173.72/25.80  |   (338)  all_16_2 = all_14_2
% 173.72/25.80  | 
% 173.72/25.80  | COMBINE_EQS: (325), (331) imply:
% 173.72/25.80  |   (339)  all_8_2 = all_6_2
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (339) implies:
% 173.72/25.80  |   (340)  all_8_2 = all_6_2
% 173.72/25.80  | 
% 173.72/25.80  | COMBINE_EQS: (315), (333) imply:
% 173.72/25.80  |   (341)  all_18_2 = all_4_2
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (341) implies:
% 173.72/25.80  |   (342)  all_18_2 = all_4_2
% 173.72/25.80  | 
% 173.72/25.80  | COMBINE_EQS: (323), (342) imply:
% 173.72/25.80  |   (343)  all_30_2 = all_4_2
% 173.72/25.80  | 
% 173.72/25.80  | COMBINE_EQS: (327), (340) imply:
% 173.72/25.80  |   (344)  all_32_2 = all_6_2
% 173.72/25.80  | 
% 173.72/25.80  | COMBINE_EQS: (255), (344) imply:
% 173.72/25.80  |   (345)  all_36_2 = all_6_2
% 173.72/25.80  | 
% 173.72/25.80  | COMBINE_EQS: (288), (343) imply:
% 173.72/25.80  |   (346)  all_40_2 = all_4_2
% 173.72/25.80  | 
% 173.72/25.80  | COMBINE_EQS: (300), (338) imply:
% 173.72/25.80  |   (347)  all_42_2 = all_14_2
% 173.72/25.80  | 
% 173.72/25.80  | COMBINE_EQS: (292), (342) imply:
% 173.72/25.80  |   (348)  all_52_0 = all_4_2
% 173.72/25.80  | 
% 173.72/25.80  | COMBINE_EQS: (270), (347) imply:
% 173.72/25.80  |   (349)  all_54_10 = all_14_2
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (155), (348) imply:
% 173.72/25.80  |   (350)   ~ (all_52_1 = all_4_2)
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (350) implies:
% 173.72/25.80  |   (351)   ~ (all_52_1 = all_4_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (154), (348) imply:
% 173.72/25.80  |   (352)   ~ (all_52_2 = all_4_2)
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (352) implies:
% 173.72/25.80  |   (353)   ~ (all_52_2 = all_4_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (153), (348) imply:
% 173.72/25.80  |   (354)   ~ (all_52_3 = all_4_2)
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (354) implies:
% 173.72/25.80  |   (355)   ~ (all_52_3 = all_4_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (152), (348) imply:
% 173.72/25.80  |   (356)   ~ (all_52_4 = all_4_2)
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (356) implies:
% 173.72/25.80  |   (357)   ~ (all_52_4 = all_4_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (151), (348) imply:
% 173.72/25.80  |   (358)   ~ (all_52_8 = all_4_2)
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (358) implies:
% 173.72/25.80  |   (359)   ~ (all_52_8 = all_4_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (150), (348) imply:
% 173.72/25.80  |   (360)   ~ (all_52_12 = all_4_2)
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (360) implies:
% 173.72/25.80  |   (361)   ~ (all_52_12 = all_4_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (147), (298) imply:
% 173.72/25.80  |   (362)   ~ (all_52_1 = all_10_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (142), (269) imply:
% 173.72/25.80  |   (363)   ~ (all_52_2 = all_14_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (138), (302) imply:
% 173.72/25.80  |   (364)   ~ (all_52_3 = all_6_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (137), (298) imply:
% 173.72/25.80  |   (365)   ~ (all_52_4 = all_10_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (132), (298) imply:
% 173.72/25.80  |   (366)   ~ (all_52_6 = all_10_2)
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (366) implies:
% 173.72/25.80  |   (367)   ~ (all_52_6 = all_10_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (131), (298) imply:
% 173.72/25.80  |   (368)   ~ (all_52_7 = all_10_2)
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (368) implies:
% 173.72/25.80  |   (369)   ~ (all_52_7 = all_10_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (130), (298) imply:
% 173.72/25.80  |   (370)   ~ (all_52_9 = all_10_2)
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (370) implies:
% 173.72/25.80  |   (371)   ~ (all_52_9 = all_10_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (129), (298) imply:
% 173.72/25.80  |   (372)   ~ (all_52_13 = all_10_2)
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (372) implies:
% 173.72/25.80  |   (373)   ~ (all_52_13 = all_10_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (127), (269) imply:
% 173.72/25.80  |   (374)   ~ (all_52_6 = all_14_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (124), (302) imply:
% 173.72/25.80  |   (375)   ~ (all_52_7 = all_6_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (122), (269) imply:
% 173.72/25.80  |   (376)   ~ (all_52_8 = all_14_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (119), (269) imply:
% 173.72/25.80  |   (377)   ~ (all_52_9 = all_14_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (116), (269) imply:
% 173.72/25.80  |   (378)   ~ (all_52_11 = all_14_2)
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (378) implies:
% 173.72/25.80  |   (379)   ~ (all_52_11 = all_14_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (115), (269) imply:
% 173.72/25.80  |   (380)   ~ (all_52_14 = all_14_2)
% 173.72/25.80  | 
% 173.72/25.80  | SIMP: (380) implies:
% 173.72/25.80  |   (381)   ~ (all_52_14 = all_14_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (114), (302) imply:
% 173.72/25.80  |   (382)   ~ (all_52_11 = all_6_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (111), (302) imply:
% 173.72/25.80  |   (383)   ~ (all_52_12 = all_6_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (109), (302) imply:
% 173.72/25.80  |   (384)   ~ (all_52_13 = all_6_2)
% 173.72/25.80  | 
% 173.72/25.80  | REDUCE: (108), (302) imply:
% 173.72/25.80  |   (385)   ~ (all_52_14 = all_6_2)
% 173.72/25.80  | 
% 173.72/25.80  | BETA: splitting (37) gives:
% 173.72/25.80  | 
% 173.72/25.80  | Case 1:
% 173.72/25.80  | | 
% 173.72/25.80  | |   (386)   ~ (all_4_2 = e0)
% 173.72/25.80  | | 
% 173.72/25.80  | | BETA: splitting (40) gives:
% 173.72/25.80  | | 
% 173.72/25.80  | | Case 1:
% 173.72/25.80  | | | 
% 173.72/25.80  | | |   (387)   ~ (all_6_2 = e1)
% 173.72/25.80  | | | 
% 173.72/25.80  | | | BETA: splitting (43) gives:
% 173.72/25.80  | | | 
% 173.72/25.80  | | | Case 1:
% 173.72/25.80  | | | | 
% 173.72/25.80  | | | |   (388)   ~ (all_8_2 = e2)
% 173.72/25.80  | | | | 
% 173.72/25.80  | | | | REDUCE: (340), (388) imply:
% 173.72/25.80  | | | |   (389)   ~ (all_6_2 = e2)
% 173.72/25.80  | | | | 
% 173.72/25.80  | | | | BETA: splitting (46) gives:
% 173.72/25.80  | | | | 
% 173.72/25.80  | | | | Case 1:
% 173.72/25.80  | | | | | 
% 173.72/25.80  | | | | |   (390)   ~ (all_10_2 = e3)
% 173.72/25.80  | | | | | 
% 173.72/25.80  | | | | | BETA: splitting (49) gives:
% 173.72/25.80  | | | | | 
% 173.72/25.80  | | | | | Case 1:
% 173.72/25.80  | | | | | | 
% 173.72/25.80  | | | | | |   (391)   ~ (all_12_2 = e0)
% 173.72/25.80  | | | | | | 
% 173.72/25.80  | | | | | | REDUCE: (335), (391) imply:
% 173.72/25.80  | | | | | |   (392)   ~ (all_10_2 = e0)
% 173.72/25.80  | | | | | | 
% 173.72/25.80  | | | | | | BETA: splitting (52) gives:
% 173.72/25.80  | | | | | | 
% 173.72/25.80  | | | | | | Case 1:
% 173.72/25.80  | | | | | | | 
% 173.72/25.80  | | | | | | |   (393)   ~ (all_14_2 = e2)
% 173.72/25.80  | | | | | | | 
% 173.72/25.80  | | | | | | | BETA: splitting (55) gives:
% 173.72/25.80  | | | | | | | 
% 173.72/25.80  | | | | | | | Case 1:
% 173.72/25.80  | | | | | | | | 
% 173.72/25.80  | | | | | | | |   (394)   ~ (all_16_2 = e3)
% 173.72/25.80  | | | | | | | | 
% 173.72/25.80  | | | | | | | | REDUCE: (338), (394) imply:
% 173.72/25.80  | | | | | | | |   (395)   ~ (all_14_2 = e3)
% 173.72/25.80  | | | | | | | | 
% 173.72/25.80  | | | | | | | | BETA: splitting (58) gives:
% 173.72/25.80  | | | | | | | | 
% 173.72/25.80  | | | | | | | | Case 1:
% 173.72/25.80  | | | | | | | | | 
% 173.72/25.80  | | | | | | | | |   (396)   ~ (all_18_2 = e1)
% 173.72/25.80  | | | | | | | | | 
% 173.72/25.80  | | | | | | | | | REDUCE: (342), (396) imply:
% 173.72/25.80  | | | | | | | | |   (397)   ~ (all_4_2 = e1)
% 173.72/25.80  | | | | | | | | | 
% 173.72/25.80  | | | | | | | | | BETA: splitting (70) gives:
% 173.72/25.80  | | | | | | | | | 
% 173.72/25.80  | | | | | | | | | Case 1:
% 173.72/25.80  | | | | | | | | | | 
% 173.72/25.80  | | | | | | | | | |   (398)   ~ (all_26_2 = e0)
% 173.72/25.80  | | | | | | | | | | 
% 173.72/25.80  | | | | | | | | | | REDUCE: (318), (398) imply:
% 173.72/25.80  | | | | | | | | | |   (399)   ~ (all_14_2 = e0)
% 173.72/25.80  | | | | | | | | | | 
% 173.72/25.80  | | | | | | | | | | BETA: splitting (238) gives:
% 173.72/25.80  | | | | | | | | | | 
% 173.72/25.80  | | | | | | | | | | Case 1:
% 173.72/25.80  | | | | | | | | | | | 
% 173.72/25.80  | | | | | | | | | | |   (400)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 173.72/25.80  | | | | | | | | | | |            e0 & op(e2, e2) = e0)
% 173.72/25.81  | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (392), (400), (function-axioms)
% 173.72/25.81  | | | | | | | | | | |            are inconsistent by sub-proof #1622.
% 173.72/25.81  | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | Case 2:
% 173.72/25.81  | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | |   (401)  (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 173.72/25.81  | | | | | | | | | | |            all_57_31 & $i(all_57_31))
% 173.72/25.81  | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | BETA: splitting (401) gives:
% 173.72/25.81  | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | Case 1:
% 173.72/25.81  | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | |   (402)  all_57_30 = e0 & op(e1, e1) = e0
% 173.72/25.81  | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (393), (395), (399), (402),
% 173.72/25.81  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 173.72/25.81  | | | | | | | | | | | |            #1616.
% 173.72/25.81  | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | Case 2:
% 173.72/25.81  | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | |   (403)  op(e0, e0) = all_57_31 & $i(all_57_31)
% 173.72/25.81  | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | ALPHA: (403) implies:
% 173.72/25.81  | | | | | | | | | | | |   (404)  op(e0, e0) = all_57_31
% 173.72/25.81  | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | BETA: splitting (194) gives:
% 173.72/25.81  | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | Case 1:
% 173.72/25.81  | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | |   (405)  all_54_10 = e3
% 173.72/25.81  | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | COMBINE_EQS: (349), (405) imply:
% 173.72/25.81  | | | | | | | | | | | | |   (406)  all_14_2 = e3
% 173.72/25.81  | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | REDUCE: (395), (406) imply:
% 173.72/25.81  | | | | | | | | | | | | |   (407)  $false
% 173.72/25.81  | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | CLOSE: (407) is inconsistent.
% 173.72/25.81  | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | Case 2:
% 173.72/25.81  | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | |   (408)   ~ (all_54_10 = e3)
% 173.72/25.81  | | | | | | | | | | | | |   (409)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 173.72/25.81  | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | BETA: splitting (409) gives:
% 173.72/25.81  | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | Case 1:
% 173.72/25.81  | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | |   (410)  all_54_10 = e2
% 173.72/25.81  | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | COMBINE_EQS: (349), (410) imply:
% 173.72/25.81  | | | | | | | | | | | | | |   (411)  all_14_2 = e2
% 173.72/25.81  | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | REDUCE: (393), (411) imply:
% 173.72/25.81  | | | | | | | | | | | | | |   (412)  $false
% 173.72/25.81  | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | CLOSE: (412) is inconsistent.
% 173.72/25.81  | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | Case 2:
% 173.72/25.81  | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | |   (413)   ~ (all_54_10 = e2)
% 173.72/25.81  | | | | | | | | | | | | | |   (414)  all_54_10 = e1 | all_54_10 = e0
% 173.72/25.81  | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | BETA: splitting (414) gives:
% 173.72/25.81  | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | Case 1:
% 173.72/25.81  | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | |   (415)  all_54_10 = e1
% 173.72/25.81  | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | COMBINE_EQS: (349), (415) imply:
% 173.72/25.81  | | | | | | | | | | | | | | |   (416)  all_14_2 = e1
% 173.72/25.81  | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | REDUCE: (363), (416) imply:
% 173.72/25.81  | | | | | | | | | | | | | | |   (417)   ~ (all_52_2 = e1)
% 173.72/25.81  | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | REDUCE: (376), (416) imply:
% 173.72/25.81  | | | | | | | | | | | | | | |   (418)   ~ (all_52_8 = e1)
% 173.72/25.81  | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | REDUCE: (377), (416) imply:
% 173.72/25.81  | | | | | | | | | | | | | | |   (419)   ~ (all_52_9 = e1)
% 173.72/25.81  | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | REDUCE: (379), (416) imply:
% 173.72/25.81  | | | | | | | | | | | | | | |   (420)   ~ (all_52_11 = e1)
% 173.72/25.81  | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | REDUCE: (381), (416) imply:
% 173.72/25.81  | | | | | | | | | | | | | | |   (421)   ~ (all_52_14 = e1)
% 173.72/25.81  | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | REDUCE: (395), (416) imply:
% 173.72/25.81  | | | | | | | | | | | | | | |   (422)   ~ (e3 = e1)
% 173.72/25.81  | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | REDUCE: (393), (416) imply:
% 173.72/25.81  | | | | | | | | | | | | | | |   (423)   ~ (e2 = e1)
% 173.72/25.81  | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | REDUCE: (51), (416) imply:
% 173.72/25.81  | | | | | | | | | | | | | | |   (424)  op(e1, e1) = e1
% 173.72/25.81  | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 173.72/25.81  | | | | | | | | | | | | | | |              all_57_31, e0, e0, simplifying with (39), (404)
% 173.72/25.81  | | | | | | | | | | | | | | |              gives:
% 173.72/25.81  | | | | | | | | | | | | | | |   (425)  all_57_31 = all_6_2
% 173.72/25.81  | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 173.72/25.81  | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | Case 1:
% 173.72/25.81  | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | |   (426)   ~ (all_28_2 = e1)
% 173.72/25.81  | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | REDUCE: (329), (426) imply:
% 173.72/25.81  | | | | | | | | | | | | | | | |   (427)   ~ (all_10_2 = e1)
% 173.72/25.81  | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 173.72/25.81  | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.81  | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | |   (428)  all_54_5 = e3
% 173.72/25.81  | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (428) imply:
% 173.72/25.81  | | | | | | | | | | | | | | | | |   (429)  all_10_2 = e3
% 173.72/25.81  | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | REDUCE: (390), (429) imply:
% 173.72/25.81  | | | | | | | | | | | | | | | | |   (430)  $false
% 173.72/25.81  | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | CLOSE: (430) is inconsistent.
% 173.72/25.81  | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.81  | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | |   (431)   ~ (all_54_5 = e3)
% 173.72/25.81  | | | | | | | | | | | | | | | | |   (432)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 173.72/25.81  | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | BETA: splitting (432) gives:
% 173.72/25.81  | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.81  | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | |   (433)  all_54_5 = e2
% 173.72/25.81  | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (433) imply:
% 173.72/25.81  | | | | | | | | | | | | | | | | | |   (434)  all_10_2 = e2
% 173.72/25.81  | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | REDUCE: (365), (434) imply:
% 173.72/25.81  | | | | | | | | | | | | | | | | | |   (435)   ~ (all_52_4 = e2)
% 173.72/25.81  | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | REDUCE: (367), (434) imply:
% 173.72/25.81  | | | | | | | | | | | | | | | | | |   (436)   ~ (all_52_6 = e2)
% 173.72/25.81  | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | REDUCE: (369), (434) imply:
% 173.72/25.81  | | | | | | | | | | | | | | | | | |   (437)   ~ (all_52_7 = e2)
% 173.72/25.81  | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | REDUCE: (371), (434) imply:
% 173.72/25.81  | | | | | | | | | | | | | | | | | |   (438)   ~ (all_52_9 = e2)
% 173.72/25.81  | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | REDUCE: (373), (434) imply:
% 173.72/25.81  | | | | | | | | | | | | | | | | | |   (439)   ~ (all_52_13 = e2)
% 173.72/25.81  | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | REDUCE: (390), (434) imply:
% 173.72/25.81  | | | | | | | | | | | | | | | | | |   (440)   ~ (e3 = e2)
% 173.72/25.81  | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | REDUCE: (45), (434) imply:
% 173.72/25.81  | | | | | | | | | | | | | | | | | |   (441)  op(e2, e2) = e2
% 173.72/25.81  | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 173.72/25.81  | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | |   (442)   ~ (all_30_2 = e2)
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | REDUCE: (343), (442) imply:
% 173.72/25.81  | | | | | | | | | | | | | | | | | | |   (443)   ~ (all_4_2 = e2)
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | |   (444)  all_54_0 = e3
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (444) imply:
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | |   (445)  all_4_2 = e3
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (445) imply:
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | |   (446)   ~ (all_52_4 = e3)
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (445) imply:
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | |   (447)   ~ (all_52_8 = e3)
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (445) imply:
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | |   (448)   ~ (all_52_12 = e3)
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.81  | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (445) imply:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | |   (449)  op(e3, e3) = e3
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |   (450)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |   (451)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (451) gives:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |   (452)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (452) implies:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |   (453)  op(e3, e2) = e3
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (453) gives:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |   (454)  all_52_4 = e3
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (454) imply:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |   (455)  $false
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (455) is inconsistent.
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |   (456)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (456) implies:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |   (457)  op(e3, e1) = e3
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (457) gives:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |   (458)  all_52_8 = e3
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (447), (458) imply:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |   (459)  $false
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (459) is inconsistent.
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |   (460)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (460) gives:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |   (461)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_17) =
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (461) implies:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |   (462)  op(e3, e0) = e3
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (448), (462), (function-axioms) are
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |   (463)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |            all_57_21) = all_57_7 & op(e2, all_57_29) =
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (463) implies:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |   (464)  op(e3, e2) = e2
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (464) gives:
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | |   (465)  all_52_4 = e2
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.82  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (435), (465) imply:
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | |   (466)  $false
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (466) is inconsistent.
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | End of split
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |   (467)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (467) gives:
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |   (468)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (436), (437), (468),
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            #1612.
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |   (469)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (469) gives:
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | |   (470)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (470) implies:
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | |   (471)  op(e3, e1) = e1
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (418), (471), (function-axioms) are
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |   (472)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (472) gives:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |   (473)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (473) implies:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |   (474)  op(e2, e1) = e1
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (419), (474), (function-axioms) are
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |   (475)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0))))
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (475) implies:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |   (476)  op(e0, e1) = all_57_27
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |   (477)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (478)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22) = all_57_8 & op(e1, all_57_23) =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (478) implies:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (479)  op(e1, e0) = e1
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (479), (function-axioms) are
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1609.
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (480)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25) = all_57_12 & op(e0, all_57_26) =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |          & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_25 = e0 & op(e3, e0) = e0) |
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0))
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (480) implies:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (481)   ~ (all_57_15 = e0)
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (482)  op(e0, e2) = all_57_26
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (483)  op(e0, e3) = all_57_25
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (484)  op(e0, all_57_31) = all_57_15
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (485)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_27 = e0 & op(e1, e0) = e0)
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (425), (484) imply:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (486)  op(e0, all_6_2) = all_57_15
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (157), (476)
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (487)  all_57_27 = all_52_11
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26, e2, e0, simplifying with (158), (482)
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (488)  all_57_26 = all_52_7
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25, e3, e0, simplifying with (159), (483)
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (489)  all_57_25 = all_52_3
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (490)   ~ (all_32_2 = e3)
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (344), (490) imply:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (491)   ~ (all_6_2 = e3)
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (189), (261), (387), (389), (481), (486),
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | |            (491), (function-axioms) are inconsistent by
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1604.
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (492)  all_32_2 = e3
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (492) imply:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (493)  all_6_2 = e3
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (493) implies:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (494)  all_6_2 = e3
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (494) imply:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (495)  all_57_31 = e3
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (494) imply:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (496)  op(e0, e3) = all_57_15
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (494) imply:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (497)  op(e0, e0) = e3
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (498)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (441), (446), (498), (function-axioms)
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1601.
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (499)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (499) gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (500)  all_56_7 = e3 & op(e1, e2) = e3
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (500) implies:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (501)  all_56_7 = e3
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (502)  op(e1, e2) = e3
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (503)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (503) gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (504)  all_56_2 = e3 & op(e2, e3) = e3
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (504) implies:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (505)  all_56_2 = e3
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (506)  op(e2, e3) = e3
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (229),
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (233), (386), (417), (449), (505), (506),
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1587.
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (507)  all_56_3 = e3 & op(e2, e2) = e3
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (507) implies:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (508)  op(e2, e2) = e3
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (441), (508), (function-axioms) are
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (509)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (509) gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (510)  all_56_5 = e3 & op(e2, e1) = e3
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (510) implies:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (511)  all_56_5 = e3
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (512)  op(e2, e1) = e3
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (513)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e2) = e0)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (441), (513), (function-axioms)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1585.
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (514)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & $i(all_57_18))
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (514) gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (515)  all_57_30 = e0 & op(e1, e1) = e0
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (515) implies:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (516)  op(e1, e1) = e0
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (424), (516), (function-axioms) are
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (517)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_18))
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (517) gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (518)  all_57_31 = e0 & op(e0, e0) = e0
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (518) implies:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (519)  all_57_31 = e0
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (477), (519), (function-axioms) are
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1583.
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (520)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_18)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (520) implies:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (521)   ~ (all_57_18 = e3)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (522)  op(e3, e0) = all_57_18
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (523)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e2) = e0)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (441), (523), (function-axioms)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1585.
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (524)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_21 & $i(all_57_21))
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (524) gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (525)  all_57_30 = e0 & op(e1, e1) = e0
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (525) implies:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (526)  op(e1, e1) = e0
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (424), (526), (function-axioms) are
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (527)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_21))
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (527) gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (528)  all_57_31 = e0 & op(e0, e0) = e0
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (528) implies:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (529)  all_57_31 = e0
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (477), (529), (function-axioms) are
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1583.
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (530)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_21)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (530) implies:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (531)   ~ (all_57_21 = e2)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (532)  op(e2, e0) = all_57_21
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (533)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e2) = e0)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (441), (533), (function-axioms)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1585.
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (534)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_24 & $i(all_57_24))
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (534) gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (535)  all_57_30 = e0 & op(e1, e1) = e0
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (535) implies:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (536)  op(e1, e1) = e0
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (424), (536), (function-axioms) are
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (537)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24))
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (537) gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (538)  all_57_31 = e0 & op(e0, e0) = e0
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (538) implies:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (539)  all_57_31 = e0
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (477), (539), (function-axioms) are
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1583.
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (540)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_24)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (540) implies:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (541)   ~ (all_57_24 = e1)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (542)  op(e1, e0) = all_57_24
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15, e3, e0, simplifying with (159), (496)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (543)  all_57_15 = all_52_3
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24, e0, e1, simplifying with (160), (542)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (544)  all_57_24 = all_52_14
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (502) gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (545)  all_52_6 = e3
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21, e0, e2, simplifying with (164), (532)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (546)  all_57_21 = all_52_13
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (512) gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (547)  all_52_9 = e3
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_18, e0, e3, simplifying with (168), (522)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (548)  all_57_18 = all_52_12
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (545) imply:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (549)   ~ (all_52_14 = e3)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (549) implies:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (550)   ~ (all_52_14 = e3)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (551)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (551) gives:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (552)  all_56_0 = e2 & op(e3, e3) = e2
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (552) implies:
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (553)  all_56_0 = e2
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (554)  op(e3, e3) = e2
% 173.72/25.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (79), (112), (113), (118), (120), (121), (123),
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (125), (126), (134), (139), (141), (157), (158),
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (189), (194), (198), (201),
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (202), (206), (207), (208), (209), (210), (211),
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (212), (213), (216), (217), (219), (220), (222),
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (225), (227), (228), (229), (230), (231), (232),
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (236), (239), (240), (241), (250), (251),
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (252), (253), (254), (261), (276), (285), (286),
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (344), (349), (375), (376), (383), (384), (385),
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (387), (389), (393), (395), (397), (418),
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (419), (420), (421), (424), (425), (437), (439),
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (441), (553), (554), (function-axioms) are
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1417.
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (555)  all_56_2 = e2 & op(e2, e3) = e2
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (555) implies:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (556)  all_56_2 = e2
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (557)  op(e2, e3) = e2
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (222),
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (419), (441), (556), (557),
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1406.
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (558)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (558) gives:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (559)  all_56_6 = e2 & op(e1, e3) = e2
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (559) implies:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (560)  all_56_6 = e2
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (561)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (561) gives:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (562)  all_56_6 = e0 & op(e1, e3) = e0
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (560), (562) are inconsistent by sub-proof
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1455.
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (563)  all_56_7 = e0 & op(e1, e2) = e0
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (563) implies:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (564)  all_56_7 = e0
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (564) imply:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (565)  e3 = e0
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (477), (495), (565),
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1405.
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (566)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (566) gives:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (567)  all_56_8 = e0 & op(e1, e1) = e0
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (567) implies:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (568)  op(e1, e1) = e0
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (424), (568), (function-axioms) are
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (569)  all_56_11 = e0 & op(e1, e0) = e0
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (569) implies:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (570)  op(e1, e0) = e0
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (571)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e0)
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (571) gives:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (572)  all_56_0 = e0 & op(e3, e3) = e0
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (572) implies:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (573)  op(e3, e3) = e0
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (573), (function-axioms) are
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (574)  all_56_2 = e0 & op(e2, e3) = e0
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (574) implies:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (575)  all_56_2 = e0
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (576)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (441), (575), (576), (function-axioms)
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1404.
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (577)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (577) gives:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (578)  all_56_5 = e1 & op(e2, e1) = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (578) implies:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (579)  op(e2, e1) = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (512), (579), (function-axioms) are
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (580)  all_56_10 = e1 & op(e2, e0) = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (580) implies:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (581)  op(e2, e0) = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (582)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (582) gives:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (583)  all_56_9 = e2 & op(e3, e0) = e2
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (583) implies:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (584)  all_56_9 = e2
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (585)  op(e3, e0) = e2
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (586)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e1)
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (586) gives:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (587)  all_56_0 = e1 & op(e3, e3) = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (587) implies:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (588)  op(e3, e3) = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (449), (588), (function-axioms) are
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (589)  all_56_1 = e1 & op(e3, e2) = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (589) implies:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (590)  all_56_1 = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (591)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (591) gives:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (592)  all_56_0 = e1 & op(e3, e3) = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (592) implies:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (593)  op(e3, e3) = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (169), (230),
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (236), (386), (584), (590), (593),
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1398.
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (594)  all_56_2 = e1 & op(e2, e3) = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (594) implies:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (595)  all_56_2 = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (575), (595) are inconsistent by sub-proof
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1535.
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (596)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (596) gives:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (597)  all_56_6 = e1 & op(e1, e3) = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (597) implies:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (598)  op(e1, e3) = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (417), (598), (function-axioms) are
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1597.
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (599)  all_56_12 = e1 & op(e0, e3) = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (599) implies:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (600)  all_56_12 = e1
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (601)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (158), (437), (600), (601), (function-axioms)
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1397.
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (602)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (602) gives:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (603)  all_56_14 = e2 & op(e0, e1) = e2
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (603) implies:
% 173.72/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (604)  all_56_14 = e2
% 174.08/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (605)  op(e0, e1) = e2
% 174.08/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 174.08/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (606)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 174.08/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e0)
% 174.08/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (606) gives:
% 174.08/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (607)  all_56_4 = e0 & op(e3, e1) = e0
% 174.08/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (607) implies:
% 174.08/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (608)  all_56_4 = e0
% 174.08/25.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, e0, simplifying with (157), (605) gives:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (609)  all_52_11 = e2
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e0, e1, simplifying with (160), (570) gives:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (610)  all_52_14 = e0
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e2, simplifying with (164), (581) gives:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (611)  all_52_13 = e1
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e3, simplifying with (168), (585) gives:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (612)  all_52_12 = e2
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (609) imply:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (613)  all_57_27 = e2
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (611) imply:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (614)  all_57_21 = e1
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (548), (612) imply:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (615)  all_57_18 = e2
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (421), (610) imply:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (616)   ~ (e1 = e0)
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (485) gives:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (617)  all_57_31 = e0
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (477), (617), (function-axioms) are
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1583.
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (618)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e0)
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (618) gives:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (619)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (619) implies:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (620)  all_57_18 = e0
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (615), (620) imply:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (621)  e2 = e0
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (621) imply:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (622)  all_56_9 = e0
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (449), (590), (608), (622),
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1392.
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (623)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e0)
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (623) gives:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (624)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (614), (624) are inconsistent by sub-proof
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1391.
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (625)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (625) implies:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (626)  all_57_27 = e0
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (613), (626) imply:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (627)  e2 = e0
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (627) implies:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (628)  e2 = e0
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (628) imply:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (629)  all_56_9 = e0
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (449), (590), (608), (629),
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1392.
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (630)  all_56_5 = e0 & op(e2, e1) = e0
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (630) implies:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (631)  all_56_5 = e0
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (631) imply:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (632)  e3 = e0
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (477), (495), (632),
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1405.
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (633)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (424), (604), (633), (function-axioms)
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1390.
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (634)  all_56_15 = e2 & op(e0, e0) = e2
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (634) implies:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (635)  op(e0, e0) = e2
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (635), (function-axioms) are
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (636)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e1)
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (169), (418), (584), (636), (function-axioms)
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1389.
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (637)  all_56_10 = e2 & op(e2, e0) = e2
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (637) implies:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (638)  op(e2, e0) = e2
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (531), (532), (638), (function-axioms) are
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1388.
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (639)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (213), (216),
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (389), (424), (560), (639), (function-axioms) are
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1387.
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (640)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (640) gives:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (641)  all_56_6 = e0 & op(e1, e3) = e0
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (560), (641) are inconsistent by sub-proof
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1455.
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (642)  all_56_12 = e0 & op(e0, e3) = e0
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (642) implies:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (643)  op(e0, e3) = e0
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (644)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (644) gives:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (645)  all_56_12 = e1 & op(e0, e3) = e1
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (645) implies:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (646)  op(e0, e3) = e1
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (643), (646), (function-axioms) are
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1589.
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (647)  all_56_13 = e1 & op(e0, e2) = e1
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (647) implies:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (648)  all_56_13 = e1
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (649)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (225), (227),
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (418), (449), (501), (531), (532), (648),
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (649), (function-axioms) are inconsistent by
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1384.
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (650)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (213), (216),
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (389), (424), (560), (650), (function-axioms) are
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1387.
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (651)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (387), (420), (651),
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1515.
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (652)  all_56_12 = e2 & op(e0, e3) = e2
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (652) implies:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (653)  all_56_12 = e2
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (654)  op(e0, e3) = e2
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (655)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (655) gives:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (656)  all_56_12 = e1 & op(e0, e3) = e1
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (656) implies:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (657)  all_56_12 = e1
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (653), (657) are inconsistent by sub-proof
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1383.
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (658)  all_56_13 = e1 & op(e0, e2) = e1
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (658) implies:
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (659)  all_56_13 = e1
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (660)  op(e0, e2) = e1
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (661)  all_56_15 = e0 & op(e0, e0) = e0
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (661) implies:
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (662)  op(e0, e0) = e0
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (497), (662), (function-axioms) are
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (663)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (663) implies:
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (664)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0)
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (664) gives:
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (665)  all_56_12 = e0 & op(e0, e3) = e0
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (665) implies:
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (666)  all_56_12 = e0
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (653), (666) are inconsistent by sub-proof
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1548.
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (667)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (667) gives:
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (668)  all_56_13 = e0 & op(e0, e2) = e0
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (668) implies:
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (669)  all_56_13 = e0
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (659), (669) are inconsistent by sub-proof
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1427.
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (670)  all_56_14 = e0 & op(e0, e1) = e0
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (670) implies:
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (671)  all_56_14 = e0
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.08/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (672)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e1)
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (227), (449),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (501), (659), (672), (function-axioms) are
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1386.
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (673)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e1)
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (673) gives:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (674)  all_56_4 = e1 & op(e3, e1) = e1
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (674) implies:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (675)  all_56_4 = e1
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (424), (511), (671), (675),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1471.
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (676)  all_56_9 = e1 & op(e3, e0) = e1
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (676) implies:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (677)  all_56_9 = e1
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (678)  op(e3, e0) = e1
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (679)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (225), (227),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (418), (449), (501), (531), (532), (659),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (679), (function-axioms) are inconsistent by
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1384.
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (680)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (680) gives:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (681)  all_56_11 = e2 & op(e1, e0) = e2
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (681) implies:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (682)  all_56_11 = e2
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (683)  op(e1, e0) = e2
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (684)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e2)
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (684) gives:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (685)  all_56_0 = e2 & op(e3, e3) = e2
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (685) implies:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (686)  all_56_0 = e2
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (687)  op(e3, e3) = e2
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (79), (112), (113), (118), (120), (121), (123),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (125), (126), (134), (139), (141), (157), (158),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (189), (194), (198), (201),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (202), (206), (207), (208), (209), (210), (211),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (212), (213), (216), (217), (219), (220), (222),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (225), (227), (228), (229), (230), (231), (232),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (239), (240), (241), (250), (251), (252),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (253), (254), (261), (276), (285), (286), (344),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (349), (375), (376), (383), (384), (385), (386),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (389), (393), (395), (397), (418), (419),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (420), (421), (424), (425), (437), (441), (682),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (683), (686), (687), (function-axioms) are
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1418.
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (688)  all_56_1 = e2 & op(e3, e2) = e2
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (688) implies:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (689)  op(e3, e2) = e2
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (435), (689), (function-axioms) are
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (690)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e2)
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (690) gives:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (691)  all_56_4 = e2 & op(e3, e1) = e2
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (691) implies:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (692)  all_56_4 = e2
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (693)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (693) gives:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (694)  all_56_0 = e1 & op(e3, e3) = e1
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (694) implies:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (695)  op(e3, e3) = e1
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (677), (692), (695),
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1373.
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (696)  all_56_2 = e1 & op(e2, e3) = e1
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (696) implies:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (697)  all_56_2 = e1
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (698)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e0)
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (698) gives:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (699)  all_56_2 = e0 & op(e2, e3) = e0
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (699) implies:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (700)  all_56_2 = e0
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (697), (700) are inconsistent by sub-proof
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1535.
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (701)  all_56_3 = e0 & op(e2, e2) = e0
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (701) implies:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (702)  op(e2, e2) = e0
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (441), (702), (function-axioms) are
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (703)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e0) = e0)
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (703) gives:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (704)  all_56_5 = e0 & op(e2, e1) = e0
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (704) implies:
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (705)  all_56_5 = e0
% 174.14/25.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (160),
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (208), (220), (387), (389), (421), (424),
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (437), (477), (495), (664), (692), (705),
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1364.
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (706)  all_56_10 = e0 & op(e2, e0) = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (706) implies:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (707)  op(e2, e0) = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (708)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (708) gives:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (709)  all_56_6 = e0 & op(e1, e3) = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (709) implies:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (710)  all_56_6 = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (711)  op(e1, e3) = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (660) gives:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (712)  all_52_7 = e1
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (654) gives:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (713)  all_52_3 = e2
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e1, simplifying with (160), (683) gives:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (714)  all_52_14 = e2
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (711) gives:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (715)  all_52_2 = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e0, e2, simplifying with (164), (707) gives:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (716)  all_52_13 = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e3, simplifying with (168), (678) gives:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (717)  all_52_12 = e1
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (712) imply:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (718)  all_57_26 = e1
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (713) imply:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (719)  all_57_25 = e2
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (714) imply:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (720)  all_57_24 = e2
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (439), (716) imply:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (721)   ~ (e2 = e0)
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (485) gives:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (722)  all_57_31 = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (477), (722), (function-axioms) are
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1583.
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (723)   ~ (all_57_31 = e0)
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (724)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e0)
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (724) gives:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (725)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (725) implies:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (726)  all_57_25 = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (719), (726) imply:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (727)  e2 = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (653), (727) imply:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (728)  all_56_12 = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (697),
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (710), (711), (728), (function-axioms) are
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1361.
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (729)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e0)
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (729) gives:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (730)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (718), (730) are inconsistent by sub-proof
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1360.
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (731)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (731) implies:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (732)  all_57_24 = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (720), (732) imply:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (733)  e2 = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (733) implies:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (734)  e2 = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (653), (734) imply:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (735)  all_56_12 = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (697),
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (710), (711), (735), (function-axioms) are
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1361.
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (736)  all_56_7 = e0 & op(e1, e2) = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (736) implies:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (737)  all_56_7 = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (501), (737) imply:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (738)  e3 = e0
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (477), (495), (738),
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1405.
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (739)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (424), (682), (739), (function-axioms)
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1422.
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (740)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (740) gives:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (741)  all_56_6 = e1 & op(e1, e3) = e1
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (741) implies:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (742)  op(e1, e3) = e1
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (417), (742), (function-axioms) are
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1597.
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (743)  all_56_12 = e1 & op(e0, e3) = e1
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (743) implies:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (744)  all_56_12 = e1
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (653), (744) imply:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (745)  e2 = e1
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (745) implies:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (746)  e2 = e1
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (692), (746) imply:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (747)  all_56_4 = e1
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (424), (511), (671), (747),
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1471.
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (748)  all_56_9 = e2 & op(e3, e0) = e2
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (748) implies:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (749)  all_56_9 = e2
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (225), (227),
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (418), (449), (501), (659), (749),
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1385.
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (750)  all_56_15 = e2 & op(e0, e0) = e2
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (750) implies:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (751)  op(e0, e0) = e2
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (751), (function-axioms) are
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (752)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (387), (420), (752),
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1515.
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (753)  all_56_10 = e3 & op(e2, e0) = e3
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (753) implies:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (754)  all_56_10 = e3
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (755)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (755) gives:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (756)  all_56_9 = e1 & op(e3, e0) = e1
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (756) implies:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (757)  all_56_9 = e1
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (758)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (758) gives:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (759)  all_56_2 = e1 & op(e2, e3) = e1
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (759) implies:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (760)  all_56_2 = e1
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (761)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e0)
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (761) gives:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (762)  all_56_2 = e0 & op(e2, e3) = e0
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (762) implies:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (763)  all_56_2 = e0
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (760), (763) imply:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (764)  e1 = e0
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (757), (764) imply:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (765)  all_56_9 = e0
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (39), (160), (210), (387), (421), (754),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (765), (function-axioms) are inconsistent by
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1483.
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (766)  all_56_3 = e0 & op(e2, e2) = e0
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (766) implies:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (767)  op(e2, e2) = e0
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (441), (767), (function-axioms) are
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (768)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e0) = e0)
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (768) gives:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (769)  all_56_5 = e0 & op(e2, e1) = e0
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (769) implies:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (770)  all_56_5 = e0
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (771)  all_56_15 = e0 & op(e0, e0) = e0
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (771) implies:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (772)  op(e0, e0) = e0
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (497), (772), (function-axioms) are
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (773)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (773) implies:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (774)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0)
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (775)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e2)
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (775) gives:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (776)  all_56_0 = e2 & op(e3, e3) = e2
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (776) implies:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (777)  all_56_0 = e2
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (778)  op(e3, e3) = e2
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (79), (112), (113), (118), (120), (121), (123),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (125), (126), (134), (139), (141), (157), (158),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (189), (194), (198), (201),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (202), (206), (207), (208), (209), (210), (211),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (212), (213), (216), (217), (219), (220), (222),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (225), (227), (228), (229), (230), (231), (232),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (236), (239), (240), (241), (250), (251),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (252), (253), (254), (261), (276), (285), (286),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (344), (349), (375), (376), (383), (384), (385),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (387), (389), (393), (395), (397), (418),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (419), (420), (421), (424), (425), (437), (439),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (441), (777), (778), (function-axioms) are
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1417.
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (779)  all_56_1 = e2 & op(e3, e2) = e2
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (779) implies:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (780)  op(e3, e2) = e2
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (435), (780), (function-axioms) are
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (781)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e2)
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (781) gives:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (782)  all_56_4 = e2 & op(e3, e1) = e2
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (782) implies:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (783)  all_56_4 = e2
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (160),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (208), (220), (387), (389), (421), (424),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (437), (477), (495), (770), (774), (783),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1364.
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (784)  all_56_9 = e2 & op(e3, e0) = e2
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (784) implies:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (785)  all_56_9 = e2
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (39), (160), (210), (387), (421), (754),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (785), (function-axioms) are inconsistent by
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1359.
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (786)  all_56_10 = e0 & op(e2, e0) = e0
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (786) implies:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (787)  all_56_10 = e0
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (754), (787) imply:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (788)  e3 = e0
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (788) imply:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (789)  all_57_31 = e0
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (421), (477), (789), (function-axioms) are
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1583.
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (790)  all_56_3 = e1 & op(e2, e2) = e1
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (790) implies:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (791)  op(e2, e2) = e1
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (441), (791), (function-axioms) are
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (792)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (419), (754), (792), (function-axioms)
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1485.
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (793)  all_56_10 = e1 & op(e2, e0) = e1
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (754), (793) are inconsistent by sub-proof
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1486.
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (794)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (387), (421), (794),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1488.
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (795)  all_56_13 = e3 & op(e0, e2) = e3
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (795) implies:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (796)  all_56_13 = e3
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (39), (157), (158),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (387), (389), (420), (437),
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (497), (796), (function-axioms) are inconsistent
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1356.
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | |   (797)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (397), (443), (797) are inconsistent
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | |            by sub-proof #1354.
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | |   (798)  all_30_2 = e2
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (798) imply:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | |   (799)  all_4_2 = e2
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | SIMP: (799) implies:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | |   (800)  all_4_2 = e2
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | REDUCE: (36), (800) imply:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | |   (801)  op(e3, e3) = e2
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | |   (802)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | BETA: splitting (802) gives:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | |   (803)  all_56_0 = e2 & op(e3, e3) = e2
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | ALPHA: (803) implies:
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | |   (804)  all_56_0 = e2
% 174.14/25.90  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            (79), (112), (113), (118), (120), (121), (123),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            (125), (126), (134), (139), (141), (157), (158),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            (159), (160), (162), (163), (164), (165), (167),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            (168), (169), (170), (189), (194), (198), (201),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            (202), (206), (207), (208), (209), (210), (211),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            (212), (213), (216), (217), (219), (220), (222),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            (225), (227), (228), (229), (230), (231), (232),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            (235), (236), (239), (240), (241), (250), (251),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            (252), (253), (254), (261), (276), (285), (286),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            (344), (349), (375), (376), (383), (384), (385),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            (386), (387), (389), (393), (395), (397), (418),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            (419), (420), (421), (424), (425), (437), (439),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            (441), (801), (804), (function-axioms) are
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1417.
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |   (805)  all_56_2 = e2 & op(e2, e3) = e2
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | ALPHA: (805) implies:
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |   (806)  all_56_2 = e2
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |   (807)  op(e2, e3) = e2
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (222),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            (224), (419), (441), (806), (807),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            #1406.
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | |   (808)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | BETA: splitting (808) gives:
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |   (809)  all_56_6 = e2 & op(e1, e3) = e2
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | ALPHA: (809) implies:
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |   (810)  all_56_6 = e2
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | |   (811)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (169),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | |            (230), (232), (236), (386), (439), (801), (811),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | |            #1561.
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | |   (812)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (213), (216),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | |            (389), (424), (810), (812), (function-axioms) are
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1387.
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |   (813)  all_56_12 = e2 & op(e0, e3) = e2
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (229), (231),
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            (235), (386), (801), (813), (function-axioms) are
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1544.
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.91  | | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | End of split
% 174.14/25.91  | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.91  | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | |   (814)  all_54_5 = e1 | all_54_5 = e0
% 174.14/25.91  | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (392), (427), (814) are inconsistent by
% 174.14/25.91  | | | | | | | | | | | | | | | | | |            sub-proof #1353.
% 174.14/25.91  | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | End of split
% 174.14/25.91  | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | End of split
% 174.14/25.91  | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | Case 2:
% 174.14/25.91  | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | |   (815)  all_28_2 = e1
% 174.14/25.91  | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (815) imply:
% 174.14/25.91  | | | | | | | | | | | | | | | |   (816)  all_10_2 = e1
% 174.14/25.91  | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | REDUCE: (362), (816) imply:
% 174.14/25.91  | | | | | | | | | | | | | | | |   (817)   ~ (all_52_1 = e1)
% 174.14/25.91  | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | REDUCE: (373), (816) imply:
% 174.14/25.91  | | | | | | | | | | | | | | | |   (818)   ~ (all_52_13 = e1)
% 174.14/25.91  | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | REDUCE: (45), (816) imply:
% 174.14/25.91  | | | | | | | | | | | | | | | |   (819)  op(e2, e2) = e1
% 174.14/25.91  | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 174.14/25.91  | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.91  | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | |   (820)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 174.14/25.91  | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 174.14/25.91  | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (167), (397), (817), (820),
% 174.14/25.91  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.14/25.91  | | | | | | | | | | | | | | | | |            #1351.
% 174.14/25.91  | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.91  | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | |   (821)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 174.14/25.91  | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 174.14/25.91  | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | BETA: splitting (821) gives:
% 174.14/25.91  | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | Case 1:
% 174.14/25.91  | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | |   (822)  all_56_6 = e1 & op(e1, e3) = e1
% 174.14/25.91  | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | ALPHA: (822) implies:
% 174.14/25.91  | | | | | | | | | | | | | | | | | |   (823)  op(e1, e3) = e1
% 174.14/25.91  | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (417), (823), (function-axioms) are
% 174.14/25.91  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1597.
% 174.14/25.91  | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | Case 2:
% 174.14/25.91  | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | |   (824)  all_56_12 = e1 & op(e0, e3) = e1
% 174.14/25.91  | | | | | | | | | | | | | | | | | | 
% 174.14/25.91  | | | | | | | | | | | | | | | | | | ALPHA: (824) implies:
% 174.14/25.91  | | | | | | | | | | | | | | | | | |   (825)  all_56_12 = e1
% 174.14/25.91  | | | | | | | | | | | | | | | | | |   (826)  op(e0, e3) = e1
% 174.14/25.91  | | | | | | | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 174.27/25.91  | | | | | | | | | | | | | | | | | |            (76), (79), (110), (112), (118), (120), (121),
% 174.27/25.91  | | | | | | | | | | | | | | | | | |            (123), (125), (126), (128), (133), (134), (135),
% 174.27/25.91  | | | | | | | | | | | | | | | | | |            (136), (139), (140), (148), (158), (159), (160),
% 174.27/25.91  | | | | | | | | | | | | | | | | | |            (162), (163), (164), (165), (167), (168), (169),
% 174.27/25.91  | | | | | | | | | | | | | | | | | |            (170), (189), (190), (191), (193), (194), (195),
% 174.27/25.91  | | | | | | | | | | | | | | | | | |            (200), (202), (203), (204), (206), (207), (208),
% 174.27/25.91  | | | | | | | | | | | | | | | | | |            (209), (210), (219), (220), (221), (223), (224),
% 174.27/25.91  | | | | | | | | | | | | | | | | | |            (229), (233), (240), (241), (246), (247), (248),
% 174.27/25.91  | | | | | | | | | | | | | | | | | |            (249), (250), (251), (252), (253), (254), (261),
% 174.27/25.91  | | | | | | | | | | | | | | | | | |            (262), (263), (265), (273), (284), (286), (287),
% 174.27/25.91  | | | | | | | | | | | | | | | | | |            (294), (343), (344), (349), (351), (353), (355),
% 174.27/25.91  | | | | | | | | | | | | | | | | | |            (357), (359), (361), (375), (376), (381), (382),
% 174.27/25.91  | | | | | | | | | | | | | | | | | |            (383), (384), (385), (386), (387), (389), (393),
% 174.27/25.91  | | | | | | | | | | | | | | | | | |            (395), (399), (414), (419), (421), (424), (818),
% 174.27/25.91  | | | | | | | | | | | | | | | | | |            (819), (825), (826), (function-axioms) are
% 174.27/25.91  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1272.
% 174.27/25.91  | | | | | | | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | | | | | | End of split
% 174.27/25.91  | | | | | | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | | | | | End of split
% 174.27/25.91  | | | | | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | | | | End of split
% 174.27/25.91  | | | | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | | | Case 2:
% 174.27/25.91  | | | | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | | | |   (827)  all_54_10 = e0
% 174.27/25.91  | | | | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | | | | COMBINE_EQS: (349), (827) imply:
% 174.27/25.91  | | | | | | | | | | | | | | |   (828)  all_14_2 = e0
% 174.27/25.91  | | | | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | | | | REDUCE: (399), (828) imply:
% 174.27/25.91  | | | | | | | | | | | | | | |   (829)  $false
% 174.27/25.91  | | | | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | | | | CLOSE: (829) is inconsistent.
% 174.27/25.91  | | | | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | | | End of split
% 174.27/25.91  | | | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | | End of split
% 174.27/25.91  | | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | End of split
% 174.27/25.91  | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | End of split
% 174.27/25.91  | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | End of split
% 174.27/25.91  | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | Case 2:
% 174.27/25.91  | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | |   (830)  all_26_2 = e0
% 174.27/25.91  | | | | | | | | | |   (831)  ( ~ (all_26_0 = e3) & op(e0, e0) = all_26_0 &
% 174.27/25.91  | | | | | | | | | |            $i(all_26_0)) | ( ~ (all_26_1 = e2) & op(e0, e1)
% 174.27/25.91  | | | | | | | | | |            = all_26_1 & $i(all_26_1))
% 174.27/25.91  | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | COMBINE_EQS: (318), (830) imply:
% 174.27/25.91  | | | | | | | | | |   (832)  all_14_2 = e0
% 174.27/25.91  | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | SIMP: (832) implies:
% 174.27/25.91  | | | | | | | | | |   (833)  all_14_2 = e0
% 174.27/25.91  | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | REDUCE: (363), (833) imply:
% 174.27/25.91  | | | | | | | | | |   (834)   ~ (all_52_2 = e0)
% 174.27/25.91  | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | REDUCE: (374), (833) imply:
% 174.27/25.91  | | | | | | | | | |   (835)   ~ (all_52_6 = e0)
% 174.27/25.91  | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | REDUCE: (376), (833) imply:
% 174.27/25.91  | | | | | | | | | |   (836)   ~ (all_52_8 = e0)
% 174.27/25.91  | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | REDUCE: (377), (833) imply:
% 174.27/25.91  | | | | | | | | | |   (837)   ~ (all_52_9 = e0)
% 174.27/25.91  | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | REDUCE: (381), (833) imply:
% 174.27/25.91  | | | | | | | | | |   (838)   ~ (all_52_14 = e0)
% 174.27/25.91  | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | REDUCE: (395), (833) imply:
% 174.27/25.91  | | | | | | | | | |   (839)   ~ (e3 = e0)
% 174.27/25.91  | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | REDUCE: (51), (833) imply:
% 174.27/25.91  | | | | | | | | | |   (840)  op(e1, e1) = e0
% 174.27/25.91  | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | BETA: splitting (73) gives:
% 174.27/25.91  | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | Case 1:
% 174.27/25.91  | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | |   (841)   ~ (all_28_2 = e1)
% 174.27/25.91  | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | REDUCE: (329), (841) imply:
% 174.27/25.91  | | | | | | | | | | |   (842)   ~ (all_10_2 = e1)
% 174.27/25.91  | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | BETA: splitting (243) gives:
% 174.27/25.91  | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | Case 1:
% 174.27/25.91  | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | |   (843)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 174.27/25.91  | | | | | | | | | | | |            e1 & op(e2, e2) = e1)
% 174.27/25.91  | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | REF_CLOSE: (36), (45), (199), (283), (390), (392), (397),
% 174.27/25.91  | | | | | | | | | | | |            (842), (843), (function-axioms) are inconsistent
% 174.27/25.91  | | | | | | | | | | | |            by sub-proof #1269.
% 174.27/25.91  | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | Case 2:
% 174.27/25.91  | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | |   (844)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 174.27/25.91  | | | | | | | | | | | |            e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 174.27/25.91  | | | | | | | | | | | |            op(e0, e1) = all_57_27 & $i(all_57_27))
% 174.27/25.91  | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | BETA: splitting (844) gives:
% 174.27/25.91  | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | Case 1:
% 174.27/25.91  | | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | |   (845)  all_57_30 = e1 & op(e1, e1) = e1
% 174.27/25.91  | | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | | ALPHA: (845) implies:
% 174.27/25.91  | | | | | | | | | | | | |   (846)  op(e1, e1) = e1
% 174.27/25.91  | | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | | REF_CLOSE: (4), (840), (846), (function-axioms) are
% 174.27/25.91  | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 174.27/25.91  | | | | | | | | | | | | | 
% 174.27/25.91  | | | | | | | | | | | | Case 2:
% 174.27/25.91  | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | |   (847)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 174.27/25.92  | | | | | | | | | | | | |            (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 174.27/25.92  | | | | | | | | | | | | |            $i(all_57_27))
% 174.27/25.92  | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | BETA: splitting (847) gives:
% 174.27/25.92  | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | Case 1:
% 174.27/25.92  | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | |   (848)  all_57_31 = e1 & op(e0, e0) = e1
% 174.27/25.92  | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | ALPHA: (848) implies:
% 174.27/25.92  | | | | | | | | | | | | | |   (849)  op(e0, e0) = e1
% 174.27/25.92  | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (849), (function-axioms) are
% 174.27/25.92  | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 174.27/25.92  | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | Case 2:
% 174.27/25.92  | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | |   (850)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 174.27/25.92  | | | | | | | | | | | | | |          $i(all_57_27)
% 174.27/25.92  | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | ALPHA: (850) implies:
% 174.27/25.92  | | | | | | | | | | | | | |   (851)   ~ (all_57_27 = e0)
% 174.27/25.92  | | | | | | | | | | | | | |   (852)  op(e0, e1) = all_57_27
% 174.27/25.92  | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 174.27/25.92  | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | Case 1:
% 174.27/25.92  | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | |   (853)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 174.27/25.92  | | | | | | | | | | | | | | |            e1 & op(e2, e2) = e1)
% 174.27/25.92  | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (199), (283), (390), (392), (397),
% 174.27/25.92  | | | | | | | | | | | | | | |            (842), (853), (function-axioms) are inconsistent
% 174.27/25.92  | | | | | | | | | | | | | | |            by sub-proof #1269.
% 174.27/25.92  | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | Case 2:
% 174.27/25.92  | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | |   (854)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 174.27/25.92  | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 174.27/25.92  | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & $i(all_57_30))
% 174.27/25.92  | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | BETA: splitting (854) gives:
% 174.27/25.92  | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92  | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | |   (855)  all_57_30 = e1 & op(e1, e1) = e1
% 174.27/25.92  | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | ALPHA: (855) implies:
% 174.27/25.92  | | | | | | | | | | | | | | | |   (856)  op(e1, e1) = e1
% 174.27/25.92  | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (840), (856), (function-axioms) are
% 174.27/25.92  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 174.27/25.92  | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | Case 2:
% 174.27/25.92  | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | |   (857)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 174.27/25.92  | | | | | | | | | | | | | | | |            (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 174.27/25.92  | | | | | | | | | | | | | | | |            $i(all_57_30))
% 174.27/25.92  | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | BETA: splitting (857) gives:
% 174.27/25.92  | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92  | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | |   (858)  all_57_31 = e1 & op(e0, e0) = e1
% 174.27/25.92  | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | ALPHA: (858) implies:
% 174.27/25.92  | | | | | | | | | | | | | | | | |   (859)  op(e0, e0) = e1
% 174.27/25.92  | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (859), (function-axioms) are
% 174.27/25.92  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 174.27/25.92  | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.92  | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | |   (860)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 174.27/25.92  | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 174.27/25.92  | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | ALPHA: (860) implies:
% 174.27/25.92  | | | | | | | | | | | | | | | | |   (861)   ~ (all_57_30 = e1)
% 174.27/25.92  | | | | | | | | | | | | | | | | |   (862)  op(e1, e1) = all_57_30
% 174.27/25.92  | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 174.27/25.92  | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | |   (863)  all_54_5 = e3
% 174.27/25.92  | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (390), (863) are inconsistent by sub-proof
% 174.27/25.92  | | | | | | | | | | | | | | | | | |            #1268.
% 174.27/25.92  | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | |   (864)   ~ (all_54_5 = e3)
% 174.27/25.92  | | | | | | | | | | | | | | | | | |   (865)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 174.27/25.92  | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | BETA: splitting (865) gives:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | |   (866)  all_54_5 = e2
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (866) imply:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | |   (867)  all_10_2 = e2
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | SIMP: (867) implies:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | |   (868)  all_10_2 = e2
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | REDUCE: (367), (868) imply:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | |   (869)   ~ (all_52_6 = e2)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | REDUCE: (369), (868) imply:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | |   (870)   ~ (all_52_7 = e2)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | REDUCE: (373), (868) imply:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | |   (871)   ~ (all_52_13 = e2)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | REDUCE: (390), (868) imply:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | |   (872)   ~ (e3 = e2)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | REDUCE: (45), (868) imply:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | |   (873)  op(e2, e2) = e2
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | |   (874)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e2) = e1)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (397), (873), (874), (function-axioms)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1267.
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | |   (875)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & $i(all_57_17))
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | BETA: splitting (875) gives:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | |   (876)  all_57_30 = e1 & op(e1, e1) = e1
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | ALPHA: (876) implies:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | |   (877)  op(e1, e1) = e1
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (861), (862), (877), (function-axioms) are
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | |   (878)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | |            (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17))
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (878) gives:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | |   (879)  all_57_31 = e1 & op(e0, e0) = e1
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (879) implies:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | |   (880)  op(e0, e0) = e1
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (880), (function-axioms) are
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | |   (881)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_17)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (881) implies:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | |   (882)   ~ (all_57_17 = e3)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | |   (883)  op(e3, e1) = all_57_17
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | |   (884)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e2) = e1)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (397), (873), (884), (function-axioms)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1267.
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | |   (885)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_20 & $i(all_57_20))
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (885) gives:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | |   (886)  all_57_30 = e1 & op(e1, e1) = e1
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (886) implies:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | |   (887)  op(e1, e1) = e1
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (861), (862), (887), (function-axioms) are
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | |   (888)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20))
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (888) gives:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (889)  all_57_31 = e1 & op(e0, e0) = e1
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (889) implies:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (890)  op(e0, e0) = e1
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (890), (function-axioms) are
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (891)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_20)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (891) implies:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (892)   ~ (all_57_20 = e2)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (893)  op(e2, e1) = all_57_20
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (157), (852)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (894)  all_57_27 = all_52_11
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30, e1, e1, simplifying with (840), (862)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (895)  all_57_30 = e0
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (165), (893)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (896)  all_57_20 = all_52_9
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17, e1, e3, simplifying with (169), (883)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (897)  all_57_17 = all_52_8
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (882), (897) imply:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (898)   ~ (all_52_8 = e3)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (892), (896) imply:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (899)   ~ (all_52_9 = e2)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (894) imply:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (900)   ~ (all_52_11 = e0)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (861), (895) imply:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (901)   ~ (e1 = e0)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (902)   ~ (all_30_2 = e2)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (902) imply:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (903)   ~ (all_4_2 = e2)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (904)  all_54_0 = e3
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (904) imply:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (905)  all_4_2 = e3
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (905) implies:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (906)  all_4_2 = e3
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (906) imply:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (907)   ~ (all_52_3 = e3)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (906) imply:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (908)   ~ (all_52_12 = e3)
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (906) imply:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (909)  op(e3, e3) = e3
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (910)   ~ (all_32_2 = e3)
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (344), (910) imply:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (911)   ~ (all_6_2 = e3)
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (912)  all_54_15 = e3
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (911), (912) are inconsistent by sub-proof
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1608.
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (913)   ~ (all_54_15 = e3)
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (914)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (914) gives:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (915)  all_54_15 = e2
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (915) are inconsistent by sub-proof
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1607.
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (916)   ~ (all_54_15 = e2)
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (917)  all_54_15 = e1 | all_54_15 = e0
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (917) gives:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (918)  all_54_15 = e1
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (918) are inconsistent by sub-proof
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1606.
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (919)  all_54_15 = e0
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (919) imply:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (920)  all_6_2 = e0
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (920) implies:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (921)  all_6_2 = e0
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (921) imply:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (922)   ~ (all_52_3 = e0)
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (921) imply:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (923)   ~ (all_52_7 = e0)
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (921) imply:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (924)   ~ (all_52_13 = e0)
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (921) imply:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (925)   ~ (e2 = e0)
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (921) imply:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (926)  op(e0, e0) = e0
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (927)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e0)
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (927) gives:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (928)  all_56_0 = e0 & op(e3, e3) = e0
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (928) implies:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (929)  op(e3, e3) = e0
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (929), (function-axioms) are
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (930)  all_56_2 = e0 & op(e2, e3) = e0
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (930) implies:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (931)  all_56_2 = e0
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (932)  op(e2, e3) = e0
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (933)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e0)
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (933) gives:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (934)  all_56_1 = e0 & op(e3, e2) = e0
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (934) implies:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (935)  all_56_1 = e0
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (936)  all_54_9 = e3
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (936) imply:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (937)  all_52_6 = e3
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (937) imply:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (938)   ~ (all_52_2 = e3)
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (937) imply:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (939)   ~ (all_52_7 = e3)
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (939) implies:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (940)   ~ (all_52_7 = e3)
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (937) imply:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (941)  op(e1, e2) = e3
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (942)  all_54_13 = e3
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (942) imply:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (943)  all_52_7 = e3
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (940), (943) imply:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (944)  $false
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (944) is inconsistent.
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (945)   ~ (all_54_13 = e3)
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (946)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (946) gives:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.27/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (947)  all_54_13 = e2
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (947) imply:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (948)  all_52_7 = e2
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (870), (948) imply:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (949)  $false
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (949) is inconsistent.
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (950)   ~ (all_54_13 = e2)
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (951)  all_54_13 = e1 | all_54_13 = e0
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (951) gives:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (952)  all_54_13 = e1
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (952) imply:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (953)  all_52_7 = e1
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (953) imply:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (954)   ~ (all_52_3 = e1)
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (953) imply:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (955)   ~ (all_52_11 = e1)
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (955) implies:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (956)   ~ (all_52_11 = e1)
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (940), (953) imply:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (957)   ~ (e3 = e1)
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (870), (953) imply:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (958)   ~ (e2 = e1)
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (959)  all_54_12 = e3
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (907), (959) are inconsistent by sub-proof
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1265.
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (960)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (961)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (873), (935), (961), (function-axioms)
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1264.
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (962)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (962) gives:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (963)  all_56_7 = e1 & op(e1, e2) = e1
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (963) implies:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (964)  op(e1, e2) = e1
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (941), (964), (function-axioms) are
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1263.
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (965)  all_56_13 = e1 & op(e0, e2) = e1
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (965) implies:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (966)  all_56_13 = e1
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (967)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (168), (169), (898), (908), (932),
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (967), (function-axioms) are inconsistent by
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1261.
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (968)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (968) gives:
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (969)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (870), (893), (899), (969),
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1260.
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (970)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (970) gives:
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (971)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (971) implies:
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (972)  all_57_17 = e1
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (973)   ~ (all_57_30 = e3)
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (974)  op(e1, e3) = e1
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (897), (972) imply:
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (975)  all_52_8 = e1
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (975) imply:
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (976)   ~ (all_52_9 = e1)
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (976) implies:
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (977)   ~ (all_52_9 = e1)
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (975) imply:
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (978)  op(e3, e1) = e1
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (979)  all_54_6 = e3
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (121), (139), (169), (190), (262), (264),
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (276), (900), (922), (954), (960), (978), (979),
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1253.
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (980)   ~ (all_54_6 = e3)
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (276), (980) imply:
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (981)   ~ (all_52_9 = e3)
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (982)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (898), (981), (982),
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1345.
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (983)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (983) gives:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (984)  all_56_8 = e3 & op(e1, e1) = e3
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (984) implies:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (985)  op(e1, e1) = e3
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (840), (985), (function-axioms) are
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (986)  all_56_14 = e3 & op(e0, e1) = e3
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (986) implies:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (987)  all_56_14 = e3
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (988)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (988) gives:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (989)  all_56_12 = e2 & op(e0, e3) = e2
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (989) implies:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (990)  all_56_12 = e2
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (991)  all_54_6 = e3
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (121), (139), (169), (190), (262), (264),
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (276), (900), (922), (954), (960), (978), (991),
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1253.
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (992)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (36), (229), (386), (873),
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (974), (990), (992), (function-axioms) are
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1248.
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (993)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (993) gives:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (994)  all_56_5 = e3 & op(e2, e1) = e3
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (994) implies:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (995)  op(e2, e1) = e3
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (981), (995), (function-axioms) are
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (996)  all_56_10 = e3 & op(e2, e0) = e3
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (996) implies:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (997)  all_56_10 = e3
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (162), (165), (222), (227),
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (869), (931), (935), (966), (977), (997),
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1244.
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (998)  all_56_13 = e2 & op(e0, e2) = e2
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (998) implies:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (999)  op(e0, e2) = e2
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (870), (999), (function-axioms) are
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1000)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (987), (1000), (function-axioms)
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1510.
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1001)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1001) gives:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1002)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1002) implies:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1003)  op(e1, e2) = e1
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (941), (1003), (function-axioms) are
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1263.
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1004)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1004) implies:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1005)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (960) gives:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1006)  all_54_12 = e2
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (1006) imply:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1007)  all_52_3 = e2
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1007) implies:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1008)  all_52_3 = e2
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1008) imply:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1009)   ~ (all_52_2 = e2)
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1008) imply:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1010)   ~ (all_52_11 = e2)
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1010) implies:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1011)   ~ (all_52_11 = e2)
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1012)  all_54_8 = e3
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (938), (1012) are inconsistent by sub-proof
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1243.
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1013)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1014)  all_54_14 = e3
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (1014) imply:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1015)  all_52_11 = e3
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1015) implies:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1016)  all_52_11 = e3
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (894), (1016) imply:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1017)  all_57_27 = e3
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1016) imply:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1018)   ~ (all_52_9 = e3)
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1019)  all_54_6 = e3
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (1018), (1019) are inconsistent by
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1242.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1020)   ~ (all_54_6 = e3)
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1021)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1021) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1022)  all_54_6 = e2
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (899), (1022) are inconsistent by sub-proof
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1241.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1023)  all_54_6 = e1 | all_54_6 = e0
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1023) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1024)  all_54_6 = e1
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (1024) imply:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1025)  all_52_9 = e1
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1025) implies:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1026)  all_52_9 = e1
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (1026) imply:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1027)   ~ (all_52_8 = e1)
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1013) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1028)  all_54_8 = e2
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (1009), (1028) are inconsistent by
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1240.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1029)  all_54_8 = e1 | all_54_8 = e0
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1005) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1030)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22) = all_57_8 & op(e1, all_57_23) =
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1017), (1030) are inconsistent by sub-proof
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1239.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1031)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25) = all_57_12 & op(e0, all_57_26) =
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & all_57_25 = e0 & op(e3, e0) = e0) |
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0))
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1031) implies:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1032)  op(e0, e0) = all_57_31
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1029) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1033)  all_54_8 = e1
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (1033) imply:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1034)  all_52_2 = e1
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1034) implies:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1035)  all_52_2 = e1
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1035) imply:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1036)   ~ (all_52_14 = e1)
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1036) implies:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1037)   ~ (all_52_14 = e1)
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (202), (286), (836), (898), (926), (1005),
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1027), (1032), (1037), (function-axioms) are
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1237.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1038)  all_54_8 = e0
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (834), (1038) are inconsistent by sub-proof
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1236.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1039)  all_54_6 = e0
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (837), (1039) are inconsistent by sub-proof
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1235.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1040)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (900), (956), (1011), (1040) are
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1233.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1041)  all_54_12 = e1 | all_54_12 = e0
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (922), (954), (1041) are inconsistent by
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1255.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1042)  all_54_13 = e0
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (1042) imply:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1043)  all_52_7 = e0
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (923), (1043) imply:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1044)  $false
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1044) is inconsistent.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1045)   ~ (all_54_9 = e3)
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1046)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (273), (1045) imply:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1047)   ~ (all_52_6 = e3)
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1048)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1048) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1049)  all_56_6 = e3 & op(e1, e3) = e3
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (162), (215),
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (231), (233), (386), (840), (869), (909),
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1049), (function-axioms) are inconsistent by
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1219.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1050)  all_56_7 = e3 & op(e1, e2) = e3
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1050) implies:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1051)  op(e1, e2) = e3
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1046) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1052)  all_54_9 = e2
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (869), (1052) are inconsistent by sub-proof
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1323.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1053)  all_54_9 = e1 | all_54_9 = e0
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (273), (835), (1047), (1051), (1053),
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1218.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1054)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1054) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1055)  all_56_8 = e3 & op(e1, e1) = e3
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1055) implies:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1056)  op(e1, e1) = e3
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (840), (1056), (function-axioms) are
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1057)  all_56_11 = e3 & op(e1, e0) = e3
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1057) implies:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1058)  all_56_11 = e3
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1059)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1059) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1060)  all_56_9 = e2 & op(e3, e0) = e2
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1060) implies:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1061)  all_56_9 = e2
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1062)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1062) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1063)  all_56_9 = e1 & op(e3, e0) = e1
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1063) implies:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1064)  all_56_9 = e1
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1061), (1064) are inconsistent by sub-proof
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1503.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1065)  all_56_10 = e1 & op(e2, e0) = e1
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1065) implies:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1066)  all_56_10 = e1
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1067)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (873), (932), (1067), (function-axioms)
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1217.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1068)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1068) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1069)  all_56_5 = e3 & op(e2, e1) = e3
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1069) implies:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1070)  all_56_5 = e3
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1071)  op(e2, e1) = e3
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1072)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (909), (931), (1072), (function-axioms)
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1216.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1073)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1073) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1074)  all_56_6 = e1 & op(e1, e3) = e1
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1074) implies:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1075)  all_56_6 = e1
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (162), (215), (840), (869), (1058),
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1075), (function-axioms) are inconsistent by
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1214.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1076)  all_56_12 = e1 & op(e0, e3) = e1
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1076) implies:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1077)  op(e0, e3) = e1
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1046) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1078)  all_54_9 = e2
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (1078) imply:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1079)  all_52_6 = e2
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (869), (1079) imply:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1080)  $false
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1080) is inconsistent.
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1081)   ~ (all_54_9 = e2)
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1082)  all_54_9 = e1 | all_54_9 = e0
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1082) gives:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1083)  all_54_9 = e1
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (1083) imply:
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1084)  all_52_6 = e1
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1084) implies:
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1085)  all_52_6 = e1
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1085) imply:
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1086)   ~ (all_52_2 = e1)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1085) imply:
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1087)   ~ (all_52_14 = e1)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1087) implies:
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1088)   ~ (all_52_14 = e1)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1047), (1085) imply:
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1089)   ~ (e3 = e1)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (869), (1085) imply:
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1090)   ~ (e2 = e1)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1091)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1091) gives:
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1092)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (898), (932), (1092),
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1262.
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1093)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1093) gives:
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1094)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_17) =
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1094) implies:
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1095)  op(e0, e3) = e3
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (1077), (1095), (function-axioms) are
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1529.
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1096)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) =
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1096) implies:
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1097)  op(e2, e3) = e2
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (221), (873), (1066), (1070),
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1097), (function-axioms) are inconsistent by
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1408.
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1098)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1098) gives:
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1099)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1099) gives:
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1100)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_21) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1100) implies:
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1101)  op(e2, e1) = e2
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (39), (160), (210), (224),
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (873), (932), (1061), (1088), (1101),
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1212.
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1102)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_20) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1102) implies:
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1103)  op(e0, e2) = e2
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (870), (1103), (function-axioms) are
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1104)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1104) gives:
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1105)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1105) implies:
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1106)  op(e1, e3) = e1
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1086), (1106), (function-axioms) are
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1597.
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1107)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (160), (164), (838), (924), (1071),
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1077), (1088), (1107), (function-axioms) are
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1211.
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1108)  all_54_9 = e0
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (835), (1108) are inconsistent by sub-proof
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1321.
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1109)  all_56_10 = e3 & op(e2, e0) = e3
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1109) implies:
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1110)  all_56_10 = e3
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1066), (1110) imply:
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1111)  e3 = e1
% 174.36/25.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1058), (1111) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1112)  all_56_11 = e1
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (164), (206), (212),
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (924), (1061), (1066), (1112), (function-axioms)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1205.
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1113)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1113) gives:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1114)  all_56_11 = e1 & op(e1, e0) = e1
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1114) implies:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1115)  all_56_11 = e1
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1058), (1115) are inconsistent by sub-proof
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1209.
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1116)  all_56_15 = e1 & op(e0, e0) = e1
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1116) implies:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1117)  all_56_15 = e1
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (164), (206), (924), (1058),
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1061), (1117), (function-axioms) are inconsistent
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1201.
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1118)  all_56_10 = e2 & op(e2, e0) = e2
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1118) implies:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1119)  op(e2, e0) = e2
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (871), (1119), (function-axioms) are
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1562.
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1120)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (1058), (1120),
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1200.
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1121)  all_56_3 = e0 & op(e2, e2) = e0
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1121) implies:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1122)  op(e2, e2) = e0
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (873), (1122), (function-axioms) are
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1123)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (835), (923), (1123),
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1198.
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1124)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1124) gives:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1125)  all_56_6 = e0 & op(e1, e3) = e0
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (834), (1125), (function-axioms) are
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1197.
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1126)  all_56_12 = e0 & op(e0, e3) = e0
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1126) implies:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1127)  all_56_12 = e0
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1128)  op(e0, e3) = e0
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (164), (165), (221),
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (233), (837), (873), (909), (924), (1127),
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1128), (function-axioms) are inconsistent by
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1192.
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1129)  all_32_2 = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (1129) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1130)  all_6_2 = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1130) implies:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1131)  all_6_2 = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (1131) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1132)   ~ (all_52_11 = e3)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1131) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1133)  op(e0, e0) = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1134)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1134) gives:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1135)  all_56_4 = e3 & op(e3, e1) = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1135) implies:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1136)  op(e3, e1) = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (898), (1136), (function-axioms) are
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1137)  all_56_5 = e3 & op(e2, e1) = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1137) implies:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1138)  op(e2, e1) = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1139)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1139) gives:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1140)  all_56_6 = e3 & op(e1, e3) = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (162), (215),
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (231), (233), (386), (840), (869), (909),
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1140), (function-axioms) are inconsistent by
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1219.
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1141)  all_56_7 = e3 & op(e1, e2) = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1141) implies:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1142)  all_56_7 = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1143)  op(e1, e2) = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (831) gives:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1144)   ~ (all_26_0 = e3) & op(e0, e0) = all_26_0 &
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_0)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1144) implies:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1145)   ~ (all_26_0 = e3)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1146)  op(e0, e0) = all_26_0
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1133), (1145), (1146), (function-axioms) are
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1191.
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1147)   ~ (all_26_1 = e2) & op(e0, e1) = all_26_1 &
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_1)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1147) implies:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1148)   ~ (all_26_1 = e2)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1149)  op(e0, e1) = all_26_1
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_1, e1, e0, simplifying with (157), (1149)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1150)  all_52_11 = all_26_1
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (1143) gives:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1151)  all_52_6 = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (1138) gives:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1152)  all_52_9 = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (1150) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1153)  all_54_14 = all_26_1
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (894), (1150) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1154)  all_57_27 = all_26_1
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1150) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1155)   ~ (all_52_3 = all_26_1)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1151) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1156)   ~ (all_52_7 = e3)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1156) implies:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1157)   ~ (all_52_7 = e3)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1150) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1158)   ~ (all_52_7 = all_26_1)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1132), (1150) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1159)   ~ (all_26_1 = e3)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (900), (1150) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1160)   ~ (all_26_1 = e0)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1161)  all_54_14 = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1153), (1161) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1162)  all_26_1 = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1159), (1162) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1163)  $false
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1163) is inconsistent.
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1164)   ~ (all_54_14 = e3)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1165)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1165) gives:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1166)  all_54_14 = e2
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1153), (1166) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1167)  all_26_1 = e2
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1148), (1167) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1168)  $false
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1168) is inconsistent.
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1169)   ~ (all_54_14 = e2)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1170)  all_54_14 = e1 | all_54_14 = e0
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1170) gives:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1171)  all_54_14 = e1
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1153), (1171) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1172)  all_26_1 = e1
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1155), (1172) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1173)   ~ (all_52_3 = e1)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1158), (1172) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1174)   ~ (all_52_7 = e1)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1159), (1172) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1175)   ~ (e3 = e1)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1148), (1172) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1176)   ~ (e2 = e1)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1149), (1172) imply:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1177)  op(e0, e1) = e1
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1178)  all_54_13 = e3
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (1157), (1178) are inconsistent by
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1302.
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1179)   ~ (all_54_13 = e3)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1180)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1181)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1181) gives:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1182)  all_56_12 = e2 & op(e0, e3) = e2
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1182) implies:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1183)  all_56_12 = e2
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1184)  all_56_15 = e0 & op(e0, e0) = e0
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1184) implies:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1185)  op(e0, e0) = e0
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1133), (1185), (function-axioms) are
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/25.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1186)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1186) implies:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1187)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1188)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1187) gives:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1189)  all_56_12 = e0 & op(e0, e3) = e0
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1189) implies:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1190)  all_56_12 = e0
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1183), (1190) are inconsistent by sub-proof
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1548.
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1191)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1191) gives:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1192)  all_56_13 = e0 & op(e0, e2) = e0
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1192) implies:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1193)  all_56_13 = e0
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1194)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1194) gives:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1195)  all_56_1 = e1 & op(e3, e2) = e1
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1195) implies:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1196)  all_56_1 = e1
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1197)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1197) gives:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1198)  all_56_0 = e0 & op(e3, e3) = e0
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1198) implies:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1199)  op(e3, e3) = e0
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (1199), (function-axioms) are
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1200)  all_56_2 = e0 & op(e2, e3) = e0
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1200) implies:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1201)  all_56_2 = e0
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1202)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1202) gives:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1203)  all_56_0 = e1 & op(e3, e3) = e1
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1203) implies:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1204)  op(e3, e3) = e1
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (1196), (1204),
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1186.
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1205)  all_56_2 = e1 & op(e2, e3) = e1
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1205) implies:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1206)  all_56_2 = e1
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1201), (1206) are inconsistent by sub-proof
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1535.
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1207)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1207) gives:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1208)  all_56_6 = e1 & op(e1, e3) = e1
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1208) implies:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1209)  op(e1, e3) = e1
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1210)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (873), (1201), (1210), (function-axioms)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1404.
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1211)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1211) gives:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1212)  all_56_5 = e1 & op(e2, e1) = e1
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1212) implies:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1213)  op(e2, e1) = e1
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1138), (1213), (function-axioms) are
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1214)  all_56_10 = e1 & op(e2, e0) = e1
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1214) implies:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1215)  all_56_10 = e1
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1180) gives:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1216)  all_54_13 = e2
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (870), (1216) are inconsistent by sub-proof
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1185.
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1217)   ~ (all_54_13 = e2)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1218)  all_54_13 = e1 | all_54_13 = e0
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1218) gives:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1219)  all_54_13 = e1
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (1174), (1219) are inconsistent by
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1313.
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1220)  all_54_13 = e0
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (1220) imply:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1221)  all_52_7 = e0
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1221) implies:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1222)  all_52_7 = e0
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1222) imply:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1223)   ~ (all_52_3 = e0)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (870), (1222) imply:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1224)   ~ (e2 = e0)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1225)  all_54_12 = e3
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (907), (1225) are inconsistent by sub-proof
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1265.
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1226)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1227)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1227) gives:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1228)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1228) gives:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1229)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17) = all_57_2 & op(e3, all_57_18) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1229) implies:
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1230)  op(e2, e3) = e3
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (36), (229), (386), (1183), (1209),
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1230), (function-axioms) are inconsistent by
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1249.
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1231)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_18) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1231) implies:
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1232)  op(e3, e1) = e3
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (898), (1232), (function-axioms) are
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1233)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1233) gives:
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1234)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_17) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1234) implies:
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1235)  op(e3, e0) = e3
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (160), (838), (1188), (1215), (1235),
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1182.
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1236)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1236) implies:
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1237)  op(e2, e3) = e2
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (36), (229), (386), (1183), (1209),
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1237), (function-axioms) are inconsistent by
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1180.
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1238)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1238) gives:
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1239)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (870), (893), (899), (1239),
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1260.
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.36/26.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1240)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1240) gives:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1241)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1241) implies:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1242)  op(e3, e1) = e1
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (139), (169), (190), (262), (264), (900),
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1132), (1173), (1223), (1226), (1242),
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1254.
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1243)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (190), (895), (1138), (1148), (1149), (1153),
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1154), (1159), (1160), (1243), (function-axioms)
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1174.
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1244)  all_56_12 = e1 & op(e0, e3) = e1
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1244) implies:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1245)  all_56_12 = e1
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1183), (1245) are inconsistent by sub-proof
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1383.
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1246)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (834), (1183), (1246),
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1173.
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1247)  all_56_3 = e1 & op(e2, e2) = e1
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1247) implies:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1248)  op(e2, e2) = e1
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (873), (1248), (function-axioms) are
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1249)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1249) gives:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1250)  all_56_7 = e1 & op(e1, e2) = e1
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1250) implies:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1251)  all_56_7 = e1
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1142), (1251) are inconsistent by sub-proof
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1172.
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1252)  all_56_13 = e1 & op(e0, e2) = e1
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1252) implies:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1253)  all_56_13 = e1
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1193), (1253) imply:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1254)  e1 = e0
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1254) imply:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1255)  $false
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1255) is inconsistent.
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1256)  all_56_14 = e0 & op(e0, e1) = e0
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1256) implies:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1257)  op(e0, e1) = e0
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1177), (1257), (function-axioms) are
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1171.
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1258)  all_56_13 = e2 & op(e0, e2) = e2
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1258) implies:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1259)  op(e0, e2) = e2
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (870), (1259), (function-axioms) are
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1260)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1260) gives:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1261)  all_56_14 = e2 & op(e0, e1) = e2
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1261) implies:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1262)  op(e0, e1) = e2
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1148), (1149), (1262), (function-axioms) are
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1170.
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1263)  all_56_15 = e2 & op(e0, e0) = e2
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1263) implies:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1264)  op(e0, e0) = e2
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (1264), (function-axioms) are
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1265)  all_54_14 = e0
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1153), (1265) imply:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1266)  all_26_1 = e0
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1160), (1266) imply:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1267)  $false
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1267) is inconsistent.
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1268)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1268) gives:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1269)  all_56_8 = e3 & op(e1, e1) = e3
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1269) implies:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1270)  op(e1, e1) = e3
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (840), (1270), (function-axioms) are
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1271)  all_56_11 = e3 & op(e1, e0) = e3
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1271) implies:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1272)  all_56_11 = e3
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1273)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1273) gives:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1274)  all_56_6 = e2 & op(e1, e3) = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1274) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1275)  all_56_6 = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1276)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1276) gives:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1277)  all_56_9 = e2 & op(e3, e0) = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1277) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1278)  all_56_9 = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1279)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1279) gives:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1280)  all_56_0 = e0 & op(e3, e3) = e0
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1280) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1281)  op(e3, e3) = e0
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (1281), (function-axioms) are
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1282)  all_56_1 = e0 & op(e3, e2) = e0
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1282) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1283)  all_56_1 = e0
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (831) gives:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1284)   ~ (all_26_0 = e3) & op(e0, e0) = all_26_0 &
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_0)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1284) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1285)   ~ (all_26_0 = e3)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1286)  op(e0, e0) = all_26_0
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1133), (1285), (1286), (function-axioms) are
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1191.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1287)   ~ (all_26_1 = e2) & op(e0, e1) = all_26_1 &
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_1)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1287) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1288)   ~ (all_26_1 = e2)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1289)  op(e0, e1) = all_26_1
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1290)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1290) gives:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1291)  all_56_0 = e1 & op(e3, e3) = e1
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1291) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1292)  op(e3, e3) = e1
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (909), (1292), (function-axioms) are
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1293)  all_56_1 = e1 & op(e3, e2) = e1
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1283), (1293) are inconsistent by sub-proof
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1169.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1294)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1294) gives:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1295)  all_56_4 = e1 & op(e3, e1) = e1
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1295) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1296)  all_56_4 = e1
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1297)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1297) gives:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1298)  all_56_4 = e2 & op(e3, e1) = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1298) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1299)  all_56_4 = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1296), (1299) imply:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1300)  e2 = e1
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1300) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1301)  e2 = e1
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1275), (1301) imply:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1302)  all_56_6 = e1
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (162), (215), (840), (869), (1272),
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1302), (function-axioms) are inconsistent by
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1214.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1303)  all_56_5 = e2 & op(e2, e1) = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1303) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1304)  op(e2, e1) = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (893), (899), (1304), (function-axioms) are
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1327.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1305)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1305) gives:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1306)  all_56_8 = e2 & op(e1, e1) = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1306) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1307)  op(e1, e1) = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (835), (1275), (1307), (function-axioms)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1161.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1308)  all_56_14 = e2 & op(e0, e1) = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1308) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1309)  op(e0, e1) = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1288), (1289), (1309), (function-axioms) are
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1170.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1310)  all_56_9 = e1 & op(e3, e0) = e1
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1310) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1311)  all_56_9 = e1
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1276) gives:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1278), (1311) are inconsistent by sub-proof
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1503.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1312)  all_56_10 = e2 & op(e2, e0) = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1312) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1313)  all_56_10 = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1314)  all_56_15 = e0 & op(e0, e0) = e0
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1314) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1315)  op(e0, e0) = e0
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1133), (1315), (function-axioms) are
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1316)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1316) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1317)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1317) gives:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1318)  all_56_9 = e0 & op(e3, e0) = e0
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1311), (1318) are inconsistent by sub-proof
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1505.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1319)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1319) gives:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1320)  all_56_10 = e0 & op(e2, e0) = e0
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1313), (1320) are inconsistent by sub-proof
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1160.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1321)  all_56_11 = e0 & op(e1, e0) = e0
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1272), (1321) are inconsistent by sub-proof
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1203.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1322)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (1272), (1322),
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1158.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1323)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1323) gives:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1324)  all_56_4 = e0 & op(e3, e1) = e0
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1324) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1325)  op(e3, e1) = e0
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (836), (883), (1325), (function-axioms) are
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1157.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1326)  all_56_9 = e0 & op(e3, e0) = e0
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1278), (1326) are inconsistent by sub-proof
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1574.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1327)  all_56_10 = e2 & op(e2, e0) = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1327) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1328)  op(e2, e0) = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (871), (1328), (function-axioms) are
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1562.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1329)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (1272), (1329),
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1158.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1330)  all_56_7 = e2 & op(e1, e2) = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1330) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1331)  op(e1, e2) = e2
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (869), (1331), (function-axioms) are
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1332)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (840), (1272), (1332), (function-axioms)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1156.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1333)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1333) gives:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1334)  all_56_8 = e3 & op(e1, e1) = e3
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1334) implies:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1335)  op(e1, e1) = e3
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (840), (1335), (function-axioms) are
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1336)  all_56_14 = e3 & op(e0, e1) = e3
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (207),
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (387), (389), (1133), (1336),
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1153.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1337)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (397), (903), (1337) are
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1354.
% 174.78/26.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1338)  all_30_2 = e2
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (1338) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1339)  all_4_2 = e2
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (1339) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1340)   ~ (all_52_8 = e2)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1339) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1341)  op(e3, e3) = e2
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1342)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (169),
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (232), (236), (386), (871), (1341), (1342),
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1561.
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1343)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1343) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1344)  all_56_11 = e2 & op(e1, e0) = e2
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1344) implies:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1345)  all_56_11 = e2
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1346)  op(e1, e0) = e2
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1347)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (229),
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (235), (386), (870), (1341), (1347),
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1543.
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1348)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1348) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1349)  all_56_14 = e2 & op(e0, e1) = e2
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1349) implies:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1350)  all_56_14 = e2
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1351)  all_54_2 = e3
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (1351) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1352)  all_52_8 = e3
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (898), (1352) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1353)  $false
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1353) is inconsistent.
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1354)   ~ (all_54_2 = e3)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1355)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1355) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1356)  all_54_2 = e2
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (1356) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1357)  all_52_8 = e2
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1340), (1357) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1358)  $false
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1358) is inconsistent.
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1359)   ~ (all_54_2 = e2)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1360)  all_54_2 = e1 | all_54_2 = e0
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1361)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1361) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1362)  all_56_4 = e3 & op(e3, e1) = e3
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1362) implies:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1363)  op(e3, e1) = e3
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (898), (1363), (function-axioms) are
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1364)  all_56_5 = e3 & op(e2, e1) = e3
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1364) implies:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1365)  op(e2, e1) = e3
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1360) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1366)  all_54_2 = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (1366) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1367)  all_52_8 = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (897), (1367) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1368)  all_57_17 = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (1367) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1369)   ~ (all_52_9 = e1)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1369) implies:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1370)   ~ (all_52_9 = e1)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1367) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1371)   ~ (all_52_11 = e1)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1371) implies:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1372)   ~ (all_52_11 = e1)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (898), (1367) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1373)   ~ (e3 = e1)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1340), (1367) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1374)   ~ (e2 = e1)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1375)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1375) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1376)  all_56_0 = e1 & op(e3, e3) = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1376) implies:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1377)  op(e3, e3) = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1341), (1377), (function-axioms) are
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1378)  all_56_1 = e1 & op(e3, e2) = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1378) implies:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1379)  all_56_1 = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1380)  op(e3, e2) = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1381)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (1379), (1381),
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1152.
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1382)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1382) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1383)  all_56_4 = e0 & op(e3, e1) = e0
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1383) implies:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1384)  op(e3, e1) = e0
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (836), (883), (1384), (function-axioms) are
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1157.
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1385)  all_56_9 = e0 & op(e3, e0) = e0
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (898), (1341),
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1380), (1385), (function-axioms) are inconsistent
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1151.
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1386)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1386) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1387)  all_56_4 = e1 & op(e3, e1) = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1387) implies:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1388)  all_56_4 = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1389)  op(e3, e1) = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1390)  all_54_6 = e3
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (1390) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1391)  all_52_9 = e3
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1391) implies:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1392)  all_52_9 = e3
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1392) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1393)   ~ (all_52_11 = e3)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1393) implies:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1394)   ~ (all_52_11 = e3)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (1392) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1395)   ~ (all_52_13 = e3)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1395) implies:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1396)   ~ (all_52_13 = e3)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1397)  all_54_14 = e3
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (1394), (1397) are inconsistent by
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1259.
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1398)   ~ (all_54_14 = e3)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1399)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1399) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1400)  all_54_14 = e2
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (1400) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1401)  all_52_11 = e2
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1401) implies:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1402)  all_52_11 = e2
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (894), (1402) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1403)  all_57_27 = e2
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (1402) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1404)  op(e0, e1) = e2
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (831) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1405)   ~ (all_26_0 = e3) & op(e0, e0) = all_26_0 &
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_0)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1405) implies:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1406)   ~ (all_26_0 = e3)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1407)  op(e0, e0) = all_26_0
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1408)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1408) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1409)  all_56_9 = e1 & op(e3, e0) = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1409) implies:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1410)  all_56_9 = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (230), (236), (386),
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1341), (1388), (1389), (1410), (function-axioms)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1149.
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1411)  all_56_10 = e1 & op(e2, e0) = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1411) implies:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1412)  all_56_10 = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1413)  op(e2, e0) = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1414)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1414) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1415)  all_56_2 = e0 & op(e2, e3) = e0
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1415) implies:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1416)  op(e2, e3) = e0
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_0, e0, e0, simplifying with (39), (1407)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1417)  all_26_0 = all_6_2
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e1, simplifying with (160), (1346) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1418)  all_52_14 = e2
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e2, simplifying with (164), (1413) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1419)  all_52_13 = e1
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (1416) gives:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1420)  all_52_1 = e0
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (1419) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1421)   ~ (all_6_2 = e1)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (1418) imply:
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1422)   ~ (all_6_2 = e2)
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1406), (1417) imply:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1423)   ~ (all_6_2 = e3)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1424)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1424) gives:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1425)  all_56_9 = e3 & op(e3, e0) = e3
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1425) implies:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1426)  op(e3, e0) = e3
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1427)  all_54_15 = e3
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (1423), (1427) are inconsistent by
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1608.
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1428)   ~ (all_54_15 = e3)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1429)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1429) gives:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1430)  all_54_15 = e2
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (1430) are inconsistent by sub-proof
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1607.
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1431)   ~ (all_54_15 = e2)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1432)  all_54_15 = e1 | all_54_15 = e0
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1432) gives:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1433)  all_54_15 = e1
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (1433) are inconsistent by sub-proof
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1606.
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1434)  all_54_15 = e0
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1434) imply:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1435)  all_6_2 = e0
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1435) implies:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1436)  all_6_2 = e0
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (1436) imply:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1437)   ~ (all_52_7 = e0)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (1436) imply:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1438)   ~ (e2 = e0)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1439)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = e3)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (873), (1341), (1439), (function-axioms) are
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1542.
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1440)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & $i(all_57_28))
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1440) gives:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1441)  all_57_30 = e3 & op(e1, e1) = e3
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1441) implies:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1442)  op(e1, e1) = e3
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (840), (1442), (function-axioms) are
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1443)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28))
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1443) gives:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1444)  all_57_31 = e3 & op(e0, e0) = e3
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1444) implies:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1445)  op(e0, e0) = e3
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (261), (387), (1423), (1432), (1445),
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1446)   ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1446) implies:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1447)   ~ (all_57_28 = e3)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1448)  op(e3, e3) = all_57_28
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1449)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = e3)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (873), (1447), (1448), (1449),
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1538.
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1450)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_22 & $i(all_57_22))
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1450) gives:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1451)  all_57_30 = e3 & op(e1, e1) = e3
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1451) implies:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1452)  op(e1, e1) = e3
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (840), (1452), (function-axioms) are
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1453)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22))
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1453) gives:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1454)  all_57_31 = e3 & op(e0, e0) = e3
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1454) implies:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1455)  op(e0, e0) = e3
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (261), (387), (1423), (1432), (1455),
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1456)   ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_22)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1456) implies:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1457)   ~ (all_57_22 = e1)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1458)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1458) gives:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1459)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (898), (1416), (1459),
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1262.
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1460)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1460) gives:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1461)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_17) =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1461) implies:
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1462)   ~ (all_57_2 = e1)
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1463)  op(e3, all_57_17) = all_57_2
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1368), (1463) imply:
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1464)  op(e3, e1) = all_57_2
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_57_2,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (1389), (1464) gives:
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1465)  all_57_2 = e1
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1462), (1465) imply:
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1466)  $false
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1466) is inconsistent.
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1467)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1467) implies:
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1468)  op(e2, e3) = e2
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1416), (1468), (function-axioms) are
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1412.
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1469)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1469) gives:
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1470)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1470) gives:
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1471)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_21) =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1471) implies:
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1472)  op(e2, e1) = e2
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (198), (262), (276), (837), (900),
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1372), (1399), (1472), (function-axioms) are
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1144.
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1473)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_20) =
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1473) implies:
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1474)  op(e0, e2) = e2
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (870), (1474), (function-axioms) are
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1475)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1475) gives:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1476)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1476) implies:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1477)  all_57_22 = e1
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1457), (1477) imply:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1478)  $false
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1478) is inconsistent.
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1479)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1479) gives:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1480)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1480) implies:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1481)  op(e2, e1) = e1
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1365), (1481), (function-axioms) are
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1482)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1482) implies:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1483)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1483) gives:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1484)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22) = all_57_8 & op(e1, all_57_23) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1484) implies:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1485)  all_57_27 = e1
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1403), (1485) imply:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1486)  e2 = e1
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1486) imply:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1487)  $false
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1487) is inconsistent.
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1488)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25) = all_57_12 & op(e0, all_57_26) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & all_57_25 = e0 & op(e3, e0) = e0) |
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0))
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1488) implies:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1489)   ~ (all_57_15 = e0)
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1490)  op(e0, e0) = all_57_31
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1491)  op(e0, e2) = all_57_26
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1492)  op(e0, all_57_31) = all_57_15
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1493)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e0 & op(e1, e0) = e0)
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (158), (160), (838), (1426), (1437), (1489),
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1490), (1491), (1492), (1493), (function-axioms)
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1142.
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1494)  all_56_10 = e3 & op(e2, e0) = e3
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1412), (1494) are inconsistent by sub-proof
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1141.
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1495)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1495) gives:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1496)  all_56_11 = e3 & op(e1, e0) = e3
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1345), (1496) are inconsistent by sub-proof
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1494.
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1497)  all_56_15 = e3 & op(e0, e0) = e3
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1497) implies:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1498)  op(e0, e0) = e3
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1406), (1407), (1498), (function-axioms) are
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1191.
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1499)  all_56_3 = e0 & op(e2, e2) = e0
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1499) implies:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1500)  op(e2, e2) = e0
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (873), (1500), (function-axioms) are
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1501)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (837), (1412), (1501),
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1140.
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1502)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (1345), (1502),
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1139.
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1503)   ~ (all_26_1 = e2) & op(e0, e1) = all_26_1 &
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_1)
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1503) implies:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1504)   ~ (all_26_1 = e2)
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1505)  op(e0, e1) = all_26_1
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1404), (1504), (1505), (function-axioms) are
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1170.
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1506)  all_54_14 = e1 | all_54_14 = e0
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (900), (1372), (1506) are inconsistent by
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1305.
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1507)   ~ (all_54_6 = e3)
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (276), (1507) imply:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1508)   ~ (all_52_9 = e3)
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1365), (1508), (function-axioms) are
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1509)  all_56_9 = e1 & op(e3, e0) = e1
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1509) implies:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1510)  all_56_9 = e1
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1511)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (36), (169), (236), (386), (898),
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1341), (1510), (1511), (function-axioms) are
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1137.
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1512)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1512) gives:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1513)  all_56_4 = e0 & op(e3, e1) = e0
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1513) implies:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1514)  op(e3, e1) = e0
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (836), (883), (1514), (function-axioms) are
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1157.
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1515)  all_56_9 = e0 & op(e3, e0) = e0
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1515) implies:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1516)  all_56_9 = e0
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1510), (1516) are inconsistent by sub-proof
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1484.
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1517)  all_54_2 = e0
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (1517) imply:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1518)  all_52_8 = e0
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (836), (1518) imply:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1519)  $false
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1519) is inconsistent.
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1520)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1520) gives:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1521)  all_56_8 = e3 & op(e1, e1) = e3
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1521) implies:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1522)  op(e1, e1) = e3
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (840), (1522), (function-axioms) are
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1523)  all_56_14 = e3 & op(e0, e1) = e3
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1523) implies:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1524)  all_56_14 = e3
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1350), (1524) are inconsistent by sub-proof
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1512.
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1525)  all_56_15 = e2 & op(e0, e0) = e2
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1525) implies:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1526)  op(e0, e0) = e2
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (1526), (function-axioms) are
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1527)  all_56_15 = e2 & op(e0, e0) = e2
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1527) implies:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1528)  op(e0, e0) = e2
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (1528), (function-axioms) are
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | |   (1529)  all_54_5 = e1 | all_54_5 = e0
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (392), (842), (1529) are inconsistent by
% 174.78/26.08  | | | | | | | | | | | | | | | | | | |            sub-proof #1353.
% 174.78/26.08  | | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | End of split
% 174.78/26.08  | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | |   (1530)  all_28_2 = e1
% 174.78/26.08  | | | | | | | | | | |   (1531)  ( ~ (all_28_0 = e0) & op(e1, e1) = all_28_0 &
% 174.78/26.08  | | | | | | | | | | |             $i(all_28_0)) | ( ~ (all_28_1 = e3) & op(e1, e2)
% 174.78/26.08  | | | | | | | | | | |             = all_28_1 & $i(all_28_1))
% 174.78/26.08  | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | COMBINE_EQS: (329), (1530) imply:
% 174.78/26.08  | | | | | | | | | | |   (1532)  all_10_2 = e1
% 174.78/26.08  | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | REDUCE: (365), (1532) imply:
% 174.78/26.08  | | | | | | | | | | |   (1533)   ~ (all_52_4 = e1)
% 174.78/26.08  | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | REDUCE: (367), (1532) imply:
% 174.78/26.08  | | | | | | | | | | |   (1534)   ~ (all_52_6 = e1)
% 174.78/26.08  | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | REDUCE: (369), (1532) imply:
% 174.78/26.08  | | | | | | | | | | |   (1535)   ~ (all_52_7 = e1)
% 174.78/26.08  | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | REDUCE: (371), (1532) imply:
% 174.78/26.08  | | | | | | | | | | |   (1536)   ~ (all_52_9 = e1)
% 174.78/26.08  | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | REDUCE: (373), (1532) imply:
% 174.78/26.08  | | | | | | | | | | |   (1537)   ~ (all_52_13 = e1)
% 174.78/26.08  | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | REDUCE: (390), (1532) imply:
% 174.78/26.08  | | | | | | | | | | |   (1538)   ~ (e3 = e1)
% 174.78/26.08  | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | REDUCE: (45), (1532) imply:
% 174.78/26.08  | | | | | | | | | | |   (1539)  op(e2, e2) = e1
% 174.78/26.08  | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | BETA: splitting (1531) gives:
% 174.78/26.08  | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | Case 1:
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | |   (1540)   ~ (all_28_0 = e0) & op(e1, e1) = all_28_0 &
% 174.78/26.08  | | | | | | | | | | | |           $i(all_28_0)
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | ALPHA: (1540) implies:
% 174.78/26.08  | | | | | | | | | | | |   (1541)   ~ (all_28_0 = e0)
% 174.78/26.08  | | | | | | | | | | | |   (1542)  op(e1, e1) = all_28_0
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_28_0,
% 174.78/26.08  | | | | | | | | | | | |              e1, e1, simplifying with (840), (1542) gives:
% 174.78/26.08  | | | | | | | | | | | |   (1543)  all_28_0 = e0
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | REDUCE: (1541), (1543) imply:
% 174.78/26.08  | | | | | | | | | | | |   (1544)  $false
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | CLOSE: (1544) is inconsistent.
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | |   (1545)   ~ (all_28_1 = e3) & op(e1, e2) = all_28_1 &
% 174.78/26.08  | | | | | | | | | | | |           $i(all_28_1)
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | ALPHA: (1545) implies:
% 174.78/26.08  | | | | | | | | | | | |   (1546)   ~ (all_28_1 = e3)
% 174.78/26.08  | | | | | | | | | | | |   (1547)  op(e1, e2) = all_28_1
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 174.78/26.08  | | | | | | | | | | | |              all_28_1, e2, e1, simplifying with (162), (1547)
% 174.78/26.08  | | | | | | | | | | | |              gives:
% 174.78/26.08  | | | | | | | | | | | |   (1548)  all_52_6 = all_28_1
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | COMBINE_EQS: (273), (1548) imply:
% 174.78/26.08  | | | | | | | | | | | |   (1549)  all_54_9 = all_28_1
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | REDUCE: (143), (1548) imply:
% 174.78/26.08  | | | | | | | | | | | |   (1550)   ~ (all_52_2 = all_28_1)
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | REDUCE: (136), (1548) imply:
% 174.78/26.08  | | | | | | | | | | | |   (1551)   ~ (all_52_4 = all_28_1)
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | REDUCE: (128), (1548) imply:
% 174.78/26.08  | | | | | | | | | | | |   (1552)   ~ (all_52_7 = all_28_1)
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | SIMP: (1552) implies:
% 174.78/26.08  | | | | | | | | | | | |   (1553)   ~ (all_52_7 = all_28_1)
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | REDUCE: (126), (1548) imply:
% 174.78/26.08  | | | | | | | | | | | |   (1554)   ~ (all_52_14 = all_28_1)
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | SIMP: (1554) implies:
% 174.78/26.08  | | | | | | | | | | | |   (1555)   ~ (all_52_14 = all_28_1)
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | REDUCE: (1534), (1548) imply:
% 174.78/26.08  | | | | | | | | | | | |   (1556)   ~ (all_28_1 = e1)
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | REDUCE: (835), (1548) imply:
% 174.78/26.08  | | | | | | | | | | | |   (1557)   ~ (all_28_1 = e0)
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | BETA: splitting (195) gives:
% 174.78/26.08  | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | Case 1:
% 174.78/26.08  | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | |   (1558)  all_54_9 = e3
% 174.78/26.08  | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | COMBINE_EQS: (1549), (1558) imply:
% 174.78/26.08  | | | | | | | | | | | | |   (1559)  all_28_1 = e3
% 174.78/26.08  | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | REDUCE: (1546), (1559) imply:
% 174.78/26.08  | | | | | | | | | | | | |   (1560)  $false
% 174.78/26.08  | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | CLOSE: (1560) is inconsistent.
% 174.78/26.08  | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | Case 2:
% 174.78/26.08  | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | |   (1561)   ~ (all_54_9 = e3)
% 174.78/26.08  | | | | | | | | | | | | |   (1562)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 174.78/26.08  | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | BETA: splitting (1562) gives:
% 174.78/26.08  | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | Case 1:
% 174.78/26.08  | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | |   (1563)  all_54_9 = e2
% 174.78/26.08  | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | COMBINE_EQS: (1549), (1563) imply:
% 174.78/26.08  | | | | | | | | | | | | | |   (1564)  all_28_1 = e2
% 174.78/26.08  | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | REDUCE: (1550), (1564) imply:
% 174.78/26.08  | | | | | | | | | | | | | |   (1565)   ~ (all_52_2 = e2)
% 174.78/26.08  | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | REDUCE: (1551), (1564) imply:
% 174.78/26.08  | | | | | | | | | | | | | |   (1566)   ~ (all_52_4 = e2)
% 174.78/26.08  | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | REDUCE: (1553), (1564) imply:
% 174.78/26.08  | | | | | | | | | | | | | |   (1567)   ~ (all_52_7 = e2)
% 174.78/26.08  | | | | | | | | | | | | | | 
% 174.78/26.08  | | | | | | | | | | | | | | REDUCE: (1555), (1564) imply:
% 175.09/26.08  | | | | | | | | | | | | | |   (1568)   ~ (all_52_14 = e2)
% 175.09/26.08  | | | | | | | | | | | | | | 
% 175.09/26.08  | | | | | | | | | | | | | | REDUCE: (1546), (1564) imply:
% 175.09/26.08  | | | | | | | | | | | | | |   (1569)   ~ (e3 = e2)
% 175.09/26.08  | | | | | | | | | | | | | | 
% 175.09/26.08  | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 175.09/26.08  | | | | | | | | | | | | | | 
% 175.09/26.08  | | | | | | | | | | | | | | Case 1:
% 175.09/26.08  | | | | | | | | | | | | | | | 
% 175.09/26.08  | | | | | | | | | | | | | | |   (1570)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 175.09/26.08  | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 175.09/26.08  | | | | | | | | | | | | | | | 
% 175.09/26.08  | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (1539), (1566), (1570),
% 175.09/26.08  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.08  | | | | | | | | | | | | | | |            #1136.
% 175.09/26.08  | | | | | | | | | | | | | | | 
% 175.09/26.08  | | | | | | | | | | | | | | Case 2:
% 175.09/26.08  | | | | | | | | | | | | | | | 
% 175.09/26.08  | | | | | | | | | | | | | | |   (1571)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 175.09/26.08  | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 175.09/26.08  | | | | | | | | | | | | | | | 
% 175.09/26.08  | | | | | | | | | | | | | | | BETA: splitting (1571) gives:
% 175.09/26.08  | | | | | | | | | | | | | | | 
% 175.09/26.08  | | | | | | | | | | | | | | | Case 1:
% 175.09/26.08  | | | | | | | | | | | | | | | | 
% 175.09/26.08  | | | | | | | | | | | | | | | |   (1572)  all_56_7 = e2 & op(e1, e2) = e2
% 175.09/26.08  | | | | | | | | | | | | | | | | 
% 175.09/26.08  | | | | | | | | | | | | | | | | ALPHA: (1572) implies:
% 175.09/26.08  | | | | | | | | | | | | | | | |   (1573)  all_56_7 = e2
% 175.09/26.08  | | | | | | | | | | | | | | | | 
% 175.09/26.08  | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 175.09/26.08  | | | | | | | | | | | | | | | | 
% 175.09/26.08  | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.08  | | | | | | | | | | | | | | | | | 
% 175.09/26.08  | | | | | | | | | | | | | | | | |   (1574)   ~ (all_30_2 = e2)
% 175.09/26.08  | | | | | | | | | | | | | | | | | 
% 175.09/26.08  | | | | | | | | | | | | | | | | | REDUCE: (343), (1574) imply:
% 175.09/26.08  | | | | | | | | | | | | | | | | |   (1575)   ~ (all_4_2 = e2)
% 175.09/26.08  | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | |   (1576)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 175.09/26.09  | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (204), (294), (386), (397), (1539),
% 175.09/26.09  | | | | | | | | | | | | | | | | | |            (1575), (1576), (function-axioms) are inconsistent
% 175.09/26.09  | | | | | | | | | | | | | | | | | |            by sub-proof #1349.
% 175.09/26.09  | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | |   (1577)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 175.09/26.09  | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 175.09/26.09  | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & $i(all_57_23))
% 175.09/26.09  | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | BETA: splitting (1577) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | |   (1578)  all_57_30 = e2 & op(e1, e1) = e2
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | ALPHA: (1578) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | |   (1579)  op(e1, e1) = e2
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (840), (1579), (function-axioms) are
% 175.09/26.09  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | |   (1580)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 175.09/26.09  | | | | | | | | | | | | | | | | | | |             (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 175.09/26.09  | | | | | | | | | | | | | | | | | | |             $i(all_57_23))
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | BETA: splitting (1580) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | |   (1581)  all_57_31 = e2 & op(e0, e0) = e2
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | ALPHA: (1581) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | |   (1582)  op(e0, e0) = e2
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (1582), (function-axioms) are
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | |   (1583)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | |           $i(all_57_23)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | ALPHA: (1583) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | |   (1584)   ~ (all_57_23 = e1)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | |   (1585)  all_54_0 = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (1585) imply:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | |   (1586)  all_4_2 = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (1586) imply:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | |   (1587)   ~ (all_52_2 = e3)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (1586) imply:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | |   (1588)   ~ (all_52_3 = e3)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (1586) imply:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | |   (1589)   ~ (all_52_4 = e3)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (1586) imply:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | |   (1590)   ~ (all_52_8 = e3)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (1586) imply:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | |   (1591)   ~ (all_52_12 = e3)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1586) imply:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | |   (1592)  op(e3, e3) = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | |   (1593)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1593) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | |   (1594)  all_56_6 = e3 & op(e1, e3) = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1594) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | |   (1595)  all_56_6 = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | |   (1596)  op(e1, e3) = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | |   (1597)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (1539), (1589), (1597),
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | |            #1135.
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | |   (1598)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1598) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | |   (1599)  all_56_7 = e3 & op(e1, e2) = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1573), (1599) are inconsistent by sub-proof
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | |            #1134.
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | |   (1600)  all_56_13 = e3 & op(e0, e2) = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1600) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | |   (1601)  all_56_13 = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1602)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1602) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1603)  all_56_12 = e1 & op(e0, e3) = e1
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1603) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1604)  all_56_12 = e1
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1605)  op(e0, e3) = e1
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (36), (229), (233),
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (1592), (1595), (1596), (1604), (1605),
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1222.
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1606)  all_56_13 = e1 & op(e0, e2) = e1
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1606) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1607)  all_56_13 = e1
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1601), (1607) are inconsistent by sub-proof
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1357.
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1608)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1608) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1609)  all_56_14 = e1 & op(e0, e1) = e1
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1609) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1610)  all_56_14 = e1
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1611)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1611) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1612)  all_56_12 = e2 & op(e0, e3) = e2
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1612) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1613)  all_56_12 = e2
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (229), (231),
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (386), (1592), (1595), (1596), (1613),
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1220.
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1614)  all_56_13 = e2 & op(e0, e2) = e2
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1614) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1615)  op(e0, e2) = e2
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1567), (1615), (function-axioms) are
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1616)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (389), (1610), (1616),
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1132.
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1617)  all_56_15 = e1 & op(e0, e0) = e1
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1617) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1618)  op(e0, e0) = e1
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (1618), (function-axioms) are
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | |   (1619)  all_56_7 = e3 & op(e1, e2) = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1619) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | |   (1620)  all_56_7 = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1573), (1620) are inconsistent by sub-proof
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | |            #1430.
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | |   (1621)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1621) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | |   (1622)  all_56_8 = e3 & op(e1, e1) = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1622) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | |   (1623)  op(e1, e1) = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (840), (1623), (function-axioms) are
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | |   (1624)  all_56_11 = e3 & op(e1, e0) = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1624) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | |   (1625)  all_56_11 = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | |   (1626)  all_54_8 = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (1587), (1626) are inconsistent by
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1243.
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | |   (1627)   ~ (all_54_8 = e3)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | |   (1628)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | |   (1629)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1629) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1630)  all_56_9 = e1 & op(e3, e0) = e1
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1630) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1631)  all_56_9 = e1
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1632)  all_54_1 = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (1632) imply:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1633)  all_52_4 = e3
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1589), (1633) imply:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1634)  $false
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1634) is inconsistent.
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1635)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1636)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1636) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1637)  all_56_9 = e2 & op(e3, e0) = e2
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1637) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1638)  all_56_9 = e2
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1631), (1638) are inconsistent by sub-proof
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1503.
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1639)  all_56_10 = e2 & op(e2, e0) = e2
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1639) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1640)  all_56_10 = e2
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1641)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1641) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1642)  all_56_2 = e0 & op(e2, e3) = e0
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1642) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1643)  op(e2, e3) = e0
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1628) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1644)  all_54_8 = e2
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (1565), (1644) are inconsistent by
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1240.
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1645)  all_54_8 = e1 | all_54_8 = e0
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1645) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1646)  all_54_8 = e1
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (1646) imply:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1647)  all_52_2 = e1
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1647) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1648)  all_52_2 = e1
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1648) imply:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1649)   ~ (all_52_3 = e1)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1649) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1650)   ~ (all_52_3 = e1)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1648) imply:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1651)   ~ (all_52_14 = e1)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1651) implies:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1652)   ~ (all_52_14 = e1)
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1653)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (168), (169), (1590), (1591), (1643),
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1653), (function-axioms) are inconsistent by
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1261.
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1654)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1654) gives:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1655)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1655) gives:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1656)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_21) =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1656) implies:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1657)  all_57_23 = e2
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1658)   ~ (all_57_29 = e1)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1659)  op(e2, e1) = e2
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1660)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1660) gives:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1661)  all_57_28 = e1 & op(e3, e3) = e1
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1661) implies:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1662)  op(e3, e3) = e1
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1592), (1662), (function-axioms) are
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1663)  all_57_29 = e1 & op(e2, e2) = e1
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1663) implies:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1664)  all_57_29 = e1
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1658), (1664) imply:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1665)  $false
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1665) is inconsistent.
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1666)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_30 & $i(all_57_30))
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1666) gives:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1667)  all_57_30 = e1 & op(e1, e1) = e1
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1667) implies:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1668)  op(e1, e1) = e1
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (840), (1668), (function-axioms) are
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1669)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_30))
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1669) gives:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1670)  all_57_31 = e1 & op(e0, e0) = e1
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1670) implies:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1671)  op(e0, e0) = e1
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (1671), (function-axioms) are
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1672)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1672) implies:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1673)   ~ (all_57_30 = e1)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1674)  op(e1, e1) = all_57_30
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1675)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (1566), (1592), (1675),
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1131.
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1676)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1676) gives:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1677)  all_56_4 = e2 & op(e3, e1) = e2
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1677) implies:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1678)  all_56_4 = e2
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1679)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1679) gives:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1680)  all_56_1 = e3 & op(e3, e2) = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1680) implies:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1681)  all_56_1 = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (230), (232),
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (386), (397), (1592), (1631), (1678),
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1681), (function-axioms) are inconsistent by
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1124.
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1682)  all_56_3 = e3 & op(e2, e2) = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1682) implies:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1683)  op(e2, e2) = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1539), (1683), (function-axioms) are
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1684)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1684) gives:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1685)  all_56_7 = e3 & op(e1, e2) = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1685) implies:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1686)  all_56_7 = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1573), (1686) are inconsistent by sub-proof
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1430.
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1687)  all_56_13 = e3 & op(e0, e2) = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1687) implies:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1688)  all_56_13 = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1689)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1689) gives:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1690)  all_56_4 = e1 & op(e3, e1) = e1
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1678), (1690) are inconsistent by sub-proof
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1127.
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1691)  all_56_5 = e1 & op(e2, e1) = e1
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1691) implies:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1692)  op(e2, e1) = e1
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1659), (1692), (function-axioms) are
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1148.
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1693)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1693) gives:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1694)  all_56_8 = e1 & op(e1, e1) = e1
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1694) implies:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1695)  op(e1, e1) = e1
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1673), (1674), (1695), (function-axioms) are
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1696)  all_56_14 = e1 & op(e0, e1) = e1
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1696) implies:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1697)  all_56_14 = e1
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1698)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1698) gives:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1699)  all_56_12 = e2 & op(e0, e3) = e2
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1699) implies:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1700)  all_56_12 = e2
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1701)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1701) gives:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1702)  all_56_2 = e3 & op(e2, e3) = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1702) implies:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1703)  all_56_2 = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1704)  op(e2, e3) = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (229), (231),
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (386), (1592), (1700), (1703), (1704),
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1123.
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1705)  all_56_3 = e3 & op(e2, e2) = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1705) implies:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1706)  op(e2, e2) = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1539), (1706), (function-axioms) are
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1707)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1707) gives:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1708)  all_56_5 = e3 & op(e2, e1) = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1708) implies:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1709)  op(e2, e1) = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1659), (1709), (function-axioms) are
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1297.
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1710)  all_56_10 = e3 & op(e2, e0) = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1710) implies:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1711)  all_56_10 = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1640), (1711) imply:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1712)  e3 = e2
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1688), (1712) imply:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1713)  all_56_13 = e2
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (207),
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (387), (1700), (1713), (function-axioms)
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1119.
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1714)  all_56_13 = e2 & op(e0, e2) = e2
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1714) implies:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1715)  op(e0, e2) = e2
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1567), (1715), (function-axioms) are
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1716)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (389), (1697), (1716),
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1117.
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1717)  all_56_9 = e2 & op(e3, e0) = e2
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1631), (1717) are inconsistent by sub-proof
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1129.
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1718)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_20) =
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1718) implies:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1719)  op(e0, e2) = e2
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1567), (1719), (function-axioms) are
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1720)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1720) gives:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1721)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1721) implies:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1722)  op(e3, e1) = e1
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1723)  all_54_11 = e3
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (1723) imply:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1724)  all_52_14 = e3
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1724) implies:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1725)  all_52_14 = e3
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (1725) imply:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1726)   ~ (all_6_2 = e3)
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1726) implies:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1727)   ~ (all_6_2 = e3)
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1728)  all_54_15 = e3
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (1727), (1728) are inconsistent by
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1608.
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1729)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1729) gives:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1730)  all_54_15 = e2
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (1730) are inconsistent by sub-proof
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1607.
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1731)  all_54_15 = e1 | all_54_15 = e0
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1731) gives:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1732)  all_54_15 = e1
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (1732) are inconsistent by sub-proof
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1606.
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1733)  all_54_15 = e0
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1733) imply:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1734)  all_6_2 = e0
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1734) implies:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1735)  all_6_2 = e0
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (1735) imply:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1736)   ~ (all_52_3 = e0)
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (1735) imply:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1737)   ~ (all_52_7 = e0)
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (1735) imply:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1738)   ~ (all_52_11 = e0)
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1739)  all_54_12 = e3
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (1588), (1739) are inconsistent by
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1265.
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1740)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1741)  all_54_13 = e3
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (1741) imply:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1742)  all_52_7 = e3
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1742) implies:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1743)  all_52_7 = e3
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1743) imply:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1744)   ~ (all_52_11 = e3)
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1744) implies:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1745)   ~ (all_52_11 = e3)
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (139), (169), (190), (262), (264), (1650),
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1722), (1736), (1738), (1740), (1745),
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1254.
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1746)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (1535), (1567), (1737), (1746) are
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1116.
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1747)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (838), (1568), (1652), (1747) are
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1112.
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1748)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1748) gives:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1749)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1749) implies:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1750)  op(e2, e1) = e1
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1536), (1750), (function-axioms) are
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1751)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1751) implies:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1752)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1752) gives:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1753)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22) = all_57_8 & op(e1, all_57_23) =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1753) implies:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1754)  op(e1, e0) = e1
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1652), (1754), (function-axioms) are
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1609.
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1755)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25) = all_57_12 & op(e0, all_57_26) =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & all_57_25 = e0 & op(e3, e0) = e0) |
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0))
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1755) implies:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1756)  op(e0, e0) = all_57_31
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1757)  all_54_11 = e3
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (1757) imply:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1758)  all_52_14 = e3
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1758) implies:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1759)  all_52_14 = e3
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (1759) imply:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1760)   ~ (all_6_2 = e3)
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1760) implies:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1761)   ~ (all_6_2 = e3)
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1762)  all_54_15 = e3
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (1761), (1762) are inconsistent by
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1608.
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1763)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1635) gives:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1764)  all_54_1 = e2
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (1764) imply:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1765)  all_52_4 = e2
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1566), (1765) imply:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1766)  $false
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1766) is inconsistent.
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1767)  all_54_1 = e1 | all_54_1 = e0
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1767) gives:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1768)  all_54_1 = e1
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (1768) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1769)  all_52_4 = e1
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1533), (1769) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1770)  $false
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1770) is inconsistent.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1771)  all_54_1 = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (1771) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1772)  all_52_4 = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1772) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1773)   ~ (all_52_7 = e0)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1773) implies:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1774)   ~ (all_52_7 = e0)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1772) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1775)   ~ (all_52_8 = e0)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1776)  all_54_13 = e3
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (1776) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1777)  all_52_7 = e3
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1777) implies:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1778)  all_52_7 = e3
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1778) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1779)   ~ (all_52_11 = e3)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1779) implies:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1780)   ~ (all_52_11 = e3)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1763) gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1781)  all_54_15 = e2
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (1781) are inconsistent by sub-proof
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1607.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1782)  all_54_15 = e1 | all_54_15 = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1782) gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1783)  all_54_15 = e1
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (1783) are inconsistent by sub-proof
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1606.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1784)  all_54_15 = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1784) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1785)  all_6_2 = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1785) implies:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1786)  all_6_2 = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (1786) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1787)   ~ (all_52_3 = e0)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (1786) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1788)   ~ (all_52_11 = e0)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1786) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1789)  op(e0, e0) = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1790)  all_54_12 = e3
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (1588), (1790) are inconsistent by
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1265.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1791)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1791) gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1792)  all_54_12 = e2
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (1792) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1793)  all_52_3 = e2
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1793) implies:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1794)  all_52_3 = e2
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1794) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1795)   ~ (all_52_11 = e2)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1795) implies:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1796)   ~ (all_52_11 = e2)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1797)  all_54_14 = e3
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (1780), (1797) are inconsistent by
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1259.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1798)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1798) gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1799)  all_54_14 = e2
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (1796), (1799) are inconsistent by
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1234.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1800)  all_54_14 = e1 | all_54_14 = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1800) gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1801)  all_54_14 = e1
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (1801) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1802)  all_52_11 = e1
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1802) implies:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1803)  all_52_11 = e1
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1803) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1804)   ~ (all_52_8 = e1)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (202), (286), (836), (1590), (1652),
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1752), (1756), (1789), (1804), (function-axioms)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1237.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1805)  all_54_14 = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (1788), (1805) are inconsistent by
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1806)  all_54_12 = e1 | all_54_12 = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (1650), (1787), (1806) are inconsistent by
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1255.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1807)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (1535), (1567), (1774), (1807) are
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1116.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1808)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (838), (1568), (1652), (1808) are
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1112.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1809)  all_54_8 = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (834), (1809) are inconsistent by sub-proof
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1236.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1810)  all_56_3 = e0 & op(e2, e2) = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1810) implies:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1811)  op(e2, e2) = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1539), (1811), (function-axioms) are
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1310.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1812)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1812) gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1813)  all_56_5 = e0 & op(e2, e1) = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (837), (1813), (function-axioms) are
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1476.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1814)  all_56_10 = e0 & op(e2, e0) = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1640), (1814) are inconsistent by sub-proof
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1160.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1815)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (1625), (1815),
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1158.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1816)  all_56_10 = e1 & op(e2, e0) = e1
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1816) implies:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1817)  op(e2, e0) = e1
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (1537), (1817), (function-axioms) are
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1273.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (1818)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (387), (1625), (1818),
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | |            #1110.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | |   (1819)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (397), (1575), (1819) are
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1354.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | |   (1820)  all_30_2 = e2
% 175.09/26.13  | | | | | | | | | | | | | | | | |   (1821)  ( ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 &
% 175.09/26.13  | | | | | | | | | | | | | | | | |             $i(all_30_0)) | ( ~ (all_30_1 = e0) & op(e2, e3)
% 175.09/26.13  | | | | | | | | | | | | | | | | |             = all_30_1 & $i(all_30_1))
% 175.09/26.13  | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (1820) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | |   (1822)  all_4_2 = e2
% 175.09/26.13  | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | SIMP: (1822) implies:
% 175.09/26.13  | | | | | | | | | | | | | | | | |   (1823)  all_4_2 = e2
% 175.09/26.13  | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | REDUCE: (36), (1823) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | |   (1824)  op(e3, e3) = e2
% 175.09/26.13  | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | |   (1825)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 175.09/26.13  | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (229),
% 175.09/26.13  | | | | | | | | | | | | | | | | | |            (231), (235), (386), (1567), (1824), (1825),
% 175.09/26.13  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.13  | | | | | | | | | | | | | | | | | |            #1543.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | |   (1826)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 175.09/26.13  | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | BETA: splitting (1826) gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | |   (1827)  all_56_14 = e2 & op(e0, e1) = e2
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | ALPHA: (1827) implies:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | |   (1828)  all_56_14 = e2
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | BETA: splitting (1821) gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | |   (1829)   ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 &
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | |           $i(all_30_0)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1539), (1829), (function-axioms) are inconsistent
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | |            by sub-proof #1292.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | |   (1830)   ~ (all_30_1 = e0) & op(e2, e3) = all_30_1 &
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | |           $i(all_30_1)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | ALPHA: (1830) implies:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | |   (1831)   ~ (all_30_1 = e0)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | |   (1832)  op(e2, e3) = all_30_1
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | |   (1833)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1833) gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | |   (1834)  all_56_9 = e2 & op(e3, e0) = e2
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | |            (232), (236), (386), (1824), (1834),
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | |            #1563.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | |   (1835)  all_56_10 = e2 & op(e2, e0) = e2
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1835) implies:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | |   (1836)  all_56_10 = e2
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | |   (1837)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1837) gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | |   (1838)  all_56_2 = e0 & op(e2, e3) = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1838) implies:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | |   (1839)  op(e2, e3) = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (1839) gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | |   (1840)  all_52_1 = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | |              all_30_1, e3, e2, simplifying with (167), (1832)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | |   (1841)  all_52_1 = all_30_1
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1840), (1841) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | |   (1842)  all_30_1 = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1831), (1842) imply:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | |   (1843)  $false
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1843) is inconsistent.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | |   (1844)  all_56_3 = e0 & op(e2, e2) = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1844) implies:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | |   (1845)  op(e2, e2) = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1539), (1845), (function-axioms) are
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1310.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | |   (1846)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1846) gives:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | |   (1847)  all_56_5 = e0 & op(e2, e1) = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (837), (1847), (function-axioms) are
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1476.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | |   (1848)  all_56_10 = e0 & op(e2, e0) = e0
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1836), (1848) are inconsistent by sub-proof
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | |            #1160.
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.13  | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | |   (1849)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1849) gives:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | |   (1850)  all_56_11 = e2 & op(e1, e0) = e2
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1850) implies:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | |   (1851)  all_56_11 = e2
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | |   (1852)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1852) gives:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | |   (1853)  all_56_9 = e1 & op(e3, e0) = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1853) implies:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | |   (1854)  all_56_9 = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (1855)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1855) gives:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1856)  all_56_6 = e3 & op(e1, e3) = e3
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1856) implies:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1857)  op(e1, e3) = e3
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1858)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1858) gives:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1859)  all_56_4 = e1 & op(e3, e1) = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1859) implies:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1860)  all_56_4 = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1861)  op(e3, e1) = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (230), (236), (386),
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1824), (1854), (1860), (1861), (function-axioms)
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1149.
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1862)  all_56_5 = e1 & op(e2, e1) = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1862) implies:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1863)  op(e2, e1) = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1536), (1863), (function-axioms) are
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1864)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1864) gives:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1865)  all_56_8 = e1 & op(e1, e1) = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1865) implies:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1866)  op(e1, e1) = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (162), (213), (835), (1851),
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1857), (1866), (function-axioms) are inconsistent
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1109.
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1867)  all_56_14 = e1 & op(e0, e1) = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1828), (1867) are inconsistent by sub-proof
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1459.
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1868)  all_56_7 = e3 & op(e1, e2) = e3
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1868) implies:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1869)  all_56_7 = e3
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1573), (1869) are inconsistent by sub-proof
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1430.
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (1870)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1870) gives:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1871)  all_56_8 = e3 & op(e1, e1) = e3
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1871) implies:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1872)  op(e1, e1) = e3
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (840), (1872), (function-axioms) are
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1873)  all_56_11 = e3 & op(e1, e0) = e3
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1873) implies:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1874)  all_56_11 = e3
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1851), (1874) are inconsistent by sub-proof
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1482.
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | |   (1875)  all_56_10 = e1 & op(e2, e0) = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1875) implies:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | |   (1876)  op(e2, e0) = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (1537), (1876), (function-axioms) are
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1273.
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | |   (1877)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (1851), (1877),
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | |            #1107.
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | |   (1878)  all_56_15 = e2 & op(e0, e0) = e2
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1878) implies:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | |   (1879)  op(e0, e0) = e2
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (1879), (function-axioms) are
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | |   (1880)  all_56_15 = e2 & op(e0, e0) = e2
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | ALPHA: (1880) implies:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | |   (1881)  op(e0, e0) = e2
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (1881), (function-axioms) are
% 175.09/26.14  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | |   (1882)  all_56_13 = e2 & op(e0, e2) = e2
% 175.09/26.14  | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | ALPHA: (1882) implies:
% 175.09/26.14  | | | | | | | | | | | | | | | |   (1883)  op(e0, e2) = e2
% 175.09/26.14  | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1567), (1883), (function-axioms) are
% 175.09/26.14  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 175.09/26.14  | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | |   (1884)  all_54_9 = e1 | all_54_9 = e0
% 175.09/26.14  | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | REF_CLOSE: (273), (835), (1534), (1884) are inconsistent by
% 175.09/26.14  | | | | | | | | | | | | | |            sub-proof #1320.
% 175.09/26.14  | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | End of split
% 175.09/26.14  | | | | | | | | | 
% 175.09/26.14  | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | 
% 175.09/26.14  | | | | | | | | |   (1885)  all_18_2 = e1
% 175.09/26.14  | | | | | | | | |   (1886)  ( ~ (all_18_0 = e0) & op(e1, e1) = all_18_0 &
% 175.09/26.14  | | | | | | | | |             $i(all_18_0)) | ( ~ (all_18_1 = e2) & op(e1, e3) =
% 175.09/26.14  | | | | | | | | |             all_18_1 & $i(all_18_1))
% 175.09/26.14  | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | COMBINE_EQS: (342), (1885) imply:
% 175.09/26.14  | | | | | | | | |   (1887)  all_4_2 = e1
% 175.09/26.14  | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | SIMP: (1887) implies:
% 175.09/26.14  | | | | | | | | |   (1888)  all_4_2 = e1
% 175.09/26.14  | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | REDUCE: (351), (1888) imply:
% 175.09/26.14  | | | | | | | | |   (1889)   ~ (all_52_1 = e1)
% 175.09/26.14  | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | REDUCE: (353), (1888) imply:
% 175.09/26.14  | | | | | | | | |   (1890)   ~ (all_52_2 = e1)
% 175.09/26.14  | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | REDUCE: (355), (1888) imply:
% 175.09/26.14  | | | | | | | | |   (1891)   ~ (all_52_3 = e1)
% 175.09/26.14  | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | REDUCE: (359), (1888) imply:
% 175.09/26.14  | | | | | | | | |   (1892)   ~ (all_52_8 = e1)
% 175.09/26.14  | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | REDUCE: (36), (1888) imply:
% 175.09/26.14  | | | | | | | | |   (1893)  op(e3, e3) = e1
% 175.09/26.14  | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | BETA: splitting (70) gives:
% 175.09/26.14  | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | |   (1894)   ~ (all_26_2 = e0)
% 175.09/26.14  | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | REDUCE: (318), (1894) imply:
% 175.09/26.14  | | | | | | | | | |   (1895)   ~ (all_14_2 = e0)
% 175.09/26.14  | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | BETA: splitting (238) gives:
% 175.09/26.14  | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | |   (1896)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 175.09/26.14  | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 175.09/26.14  | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (392), (1896),
% 175.09/26.14  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.14  | | | | | | | | | | |            #1622.
% 175.09/26.14  | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | |   (1897)  (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 175.09/26.14  | | | | | | | | | | |             all_57_31 & $i(all_57_31))
% 175.09/26.14  | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | BETA: splitting (1897) gives:
% 175.09/26.14  | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | |   (1898)  all_57_30 = e0 & op(e1, e1) = e0
% 175.09/26.14  | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (393), (395), (1895), (1898),
% 175.09/26.14  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.14  | | | | | | | | | | | |            #1616.
% 175.09/26.14  | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | |   (1899)  op(e0, e0) = all_57_31 & $i(all_57_31)
% 175.09/26.14  | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | ALPHA: (1899) implies:
% 175.09/26.14  | | | | | | | | | | | |   (1900)  op(e0, e0) = all_57_31
% 175.09/26.14  | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | BETA: splitting (194) gives:
% 175.09/26.14  | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | |   (1901)  all_54_10 = e3
% 175.09/26.14  | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | COMBINE_EQS: (349), (1901) imply:
% 175.09/26.14  | | | | | | | | | | | | |   (1902)  all_14_2 = e3
% 175.09/26.14  | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | REDUCE: (395), (1902) imply:
% 175.09/26.14  | | | | | | | | | | | | |   (1903)  $false
% 175.09/26.14  | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | CLOSE: (1903) is inconsistent.
% 175.09/26.14  | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | |   (1904)   ~ (all_54_10 = e3)
% 175.09/26.14  | | | | | | | | | | | | |   (1905)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 175.09/26.14  | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | BETA: splitting (1905) gives:
% 175.09/26.14  | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | |   (1906)  all_54_10 = e2
% 175.09/26.14  | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | COMBINE_EQS: (349), (1906) imply:
% 175.09/26.14  | | | | | | | | | | | | | |   (1907)  all_14_2 = e2
% 175.09/26.14  | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | REDUCE: (393), (1907) imply:
% 175.09/26.14  | | | | | | | | | | | | | |   (1908)  $false
% 175.09/26.14  | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | CLOSE: (1908) is inconsistent.
% 175.09/26.14  | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | |   (1909)   ~ (all_54_10 = e2)
% 175.09/26.14  | | | | | | | | | | | | | |   (1910)  all_54_10 = e1 | all_54_10 = e0
% 175.09/26.14  | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | BETA: splitting (1910) gives:
% 175.09/26.14  | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | |   (1911)  all_54_10 = e1
% 175.09/26.14  | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | COMBINE_EQS: (349), (1911) imply:
% 175.09/26.14  | | | | | | | | | | | | | | |   (1912)  all_14_2 = e1
% 175.09/26.14  | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | REDUCE: (379), (1912) imply:
% 175.09/26.14  | | | | | | | | | | | | | | |   (1913)   ~ (all_52_11 = e1)
% 175.09/26.14  | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | REDUCE: (381), (1912) imply:
% 175.09/26.14  | | | | | | | | | | | | | | |   (1914)   ~ (all_52_14 = e1)
% 175.09/26.14  | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | REDUCE: (395), (1912) imply:
% 175.09/26.14  | | | | | | | | | | | | | | |   (1915)   ~ (e3 = e1)
% 175.09/26.14  | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | REDUCE: (393), (1912) imply:
% 175.09/26.14  | | | | | | | | | | | | | | |   (1916)   ~ (e2 = e1)
% 175.09/26.14  | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | REDUCE: (51), (1912) imply:
% 175.09/26.14  | | | | | | | | | | | | | | |   (1917)  op(e1, e1) = e1
% 175.09/26.14  | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 175.09/26.14  | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | |   (1918)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 175.09/26.14  | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 175.09/26.14  | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | BETA: splitting (1918) gives:
% 175.09/26.14  | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | |   (1919)  all_56_12 = e1 & op(e0, e3) = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1891), (1919), (function-axioms) are
% 175.09/26.14  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1106.
% 175.09/26.14  | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | |   (1920)  all_56_13 = e1 & op(e0, e2) = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | ALPHA: (1920) implies:
% 175.09/26.14  | | | | | | | | | | | | | | | | |   (1921)  all_56_13 = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | |   (1922)  op(e0, e2) = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 175.09/26.14  | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | |   (1923)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 175.09/26.14  | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 175.09/26.14  | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | BETA: splitting (1923) gives:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | |   (1924)  all_56_9 = e1 & op(e3, e0) = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | ALPHA: (1924) implies:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | |   (1925)  all_56_9 = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 175.09/26.14  | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (1893), (1925),
% 175.09/26.14  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.14  | | | | | | | | | | | | | | | | | | |            #1103.
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | |   (1926)  all_56_10 = e1 & op(e2, e0) = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | ALPHA: (1926) implies:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | |   (1927)  all_56_10 = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | |   (1928)  op(e2, e0) = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 175.09/26.14  | | | | | | | | | | | | | | | | | | |              all_57_31, e0, e0, simplifying with (39), (1900)
% 175.09/26.14  | | | | | | | | | | | | | | | | | | |              gives:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | |   (1929)  all_57_31 = all_6_2
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 175.09/26.14  | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (1922) gives:
% 175.09/26.14  | | | | | | | | | | | | | | | | | | |   (1930)  all_52_7 = e1
% 175.09/26.14  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 175.09/26.15  | | | | | | | | | | | | | | | | | | |              e1, e0, e2, simplifying with (164), (1928) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | |   (1931)  all_52_13 = e1
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1930) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | |   (1932)   ~ (all_52_4 = e1)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1930) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | |   (1933)   ~ (all_52_6 = e1)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1930) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | |   (1934)   ~ (all_52_11 = e1)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | REDUCE: (117), (1931) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | |   (1935)   ~ (all_52_9 = e1)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1931) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | |   (1936)   ~ (all_52_12 = e1)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1931) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | |   (1937)   ~ (all_52_14 = e1)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | REDUCE: (373), (1931) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | |   (1938)   ~ (all_10_2 = e1)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | SIMP: (1938) implies:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | |   (1939)   ~ (all_10_2 = e1)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | REDUCE: (384), (1931) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | |   (1940)   ~ (all_6_2 = e1)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | |   (1941)  all_54_5 = e3
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (1941) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | |   (1942)  all_10_2 = e3
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (1942) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | |   (1943)  $false
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | CLOSE: (1943) is inconsistent.
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | |   (1944)   ~ (all_54_5 = e3)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | |   (1945)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1945) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | |   (1946)  all_54_5 = e2
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (1946) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | |   (1947)  all_10_2 = e2
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (1947) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | |   (1948)   ~ (all_52_4 = e2)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (1947) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | |   (1949)   ~ (all_52_6 = e2)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (1947) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | |   (1950)   ~ (e3 = e2)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1947) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | |   (1951)  op(e2, e2) = e2
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | |   (1952)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1952) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | |   (1953)  all_57_28 = e2 & op(e3, e3) = e2
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1953) implies:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | |   (1954)  op(e3, e3) = e2
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1893), (1954), (function-axioms) are
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | |   (1955)  all_57_29 = e2 & op(e2, e2) = e2
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1955) implies:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | |   (1956)  all_57_29 = e2
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | |   (1957)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1957) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | |   (1958)  all_56_1 = e2 & op(e3, e2) = e2
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1958) implies:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | |   (1959)  op(e3, e2) = e2
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (1948), (1959), (function-axioms) are
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | |   (1960)  all_56_3 = e2 & op(e2, e2) = e2
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1960) implies:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | |   (1961)  all_56_3 = e2
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1962)   ~ (all_32_2 = e3)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (344), (1962) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1963)   ~ (all_6_2 = e3)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1964)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = e3)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (1893), (1951), (1964),
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1102.
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1965)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_25 & $i(all_57_25))
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1965) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1966)  all_57_30 = e3 & op(e1, e1) = e3
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1966) implies:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1967)  op(e1, e1) = e3
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (393), (395), (1895), (1905), (1967),
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1101.
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1968)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_25))
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1968) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1969)  all_57_31 = e3 & op(e0, e0) = e3
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1929), (1963), (1969) are inconsistent by
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1100.
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1970)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_25)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1970) implies:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1971)  op(e0, e3) = all_57_25
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1972)  all_54_15 = e3
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1972) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1973)  all_6_2 = e3
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1963), (1973) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1974)  $false
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1974) is inconsistent.
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1975)   ~ (all_54_15 = e3)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1976)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1977)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = e3)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (1893), (1951), (1977),
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1102.
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1978)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & $i(all_57_28))
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1978) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1979)  all_57_30 = e3 & op(e1, e1) = e3
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1979) implies:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1980)  op(e1, e1) = e3
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (393), (395), (1895), (1905), (1980),
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1101.
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1981)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28))
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1981) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1982)  all_57_31 = e3 & op(e0, e0) = e3
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1929), (1963), (1982) are inconsistent by
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1100.
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1983)   ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1983) implies:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1984)   ~ (all_57_28 = e3)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1985)  op(e3, e3) = all_57_28
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1976) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1986)  all_54_15 = e2
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1986) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1987)  all_6_2 = e2
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (1987) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1988)  $false
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1988) is inconsistent.
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1989)   ~ (all_54_15 = e2)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1990)  all_54_15 = e1 | all_54_15 = e0
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1990) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1991)  all_54_15 = e1
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1991) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1992)  all_6_2 = e1
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (1992) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1993)  $false
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1993) is inconsistent.
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1994)  all_54_15 = e0
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1994) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1995)  all_6_2 = e0
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1929), (1995) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1996)  all_57_31 = e0
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (1995) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1997)   ~ (all_52_11 = e0)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (1995) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1998)   ~ (all_52_14 = e0)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1963), (1995) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1999)   ~ (e3 = e0)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (1995) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2000)   ~ (e2 = e0)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (1995) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2001)   ~ (e1 = e0)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1995) imply:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2002)  op(e0, e0) = e0
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2003)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = e3)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1951), (1984), (1985), (2003),
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1538.
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2004)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & $i(all_57_19))
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2004) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2005)  all_57_30 = e3 & op(e1, e1) = e3
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2005) implies:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2006)  op(e1, e1) = e3
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (393), (395), (1895), (1905), (2006),
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1101.
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2007)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19))
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2007) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2008)  all_57_31 = e3 & op(e0, e0) = e3
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2008) implies:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2009)  op(e0, e0) = e3
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2002), (2009), (function-axioms) are
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2010)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_19)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2010) implies:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2011)   ~ (all_57_19 = e2)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2012)  op(e2, e3) = all_57_19
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2013)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = e3)
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1951), (1984), (1985), (2013),
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1538.
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2014)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e3) = all_57_22 & $i(all_57_22))
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2014) gives:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2015)  all_57_30 = e3 & op(e1, e1) = e3
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2015) implies:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2016)  op(e1, e1) = e3
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (393), (395), (1895), (1905), (2016),
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1101.
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2017)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22))
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2017) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2018)  all_57_31 = e3 & op(e0, e0) = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2018) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2019)  op(e0, e0) = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2002), (2019), (function-axioms) are
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2020)   ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_22)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2020) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2021)   ~ (all_57_22 = e1)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2022)  op(e1, e3) = all_57_22
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25, e3, e0, simplifying with (159), (1971)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2023)  all_57_25 = all_52_3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22, e3, e1, simplifying with (163), (2022)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2024)  all_57_22 = all_52_2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19, e3, e2, simplifying with (167), (2012)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2025)  all_57_19 = all_52_1
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28, e3, e3, simplifying with (1893), (1985)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2026)  all_57_28 = e1
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2011), (2025) imply:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2027)   ~ (all_52_1 = e2)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2028)  all_54_4 = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (2028) imply:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2029)  all_52_1 = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2029) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2030)  all_52_1 = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2030) imply:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2031)   ~ (all_52_3 = e3)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2031) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2032)   ~ (all_52_3 = e3)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2030) imply:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2033)   ~ (all_52_9 = e3)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2033) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2034)   ~ (all_52_9 = e3)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (2030) imply:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2035)  op(e2, e3) = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2036)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2036) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2037)  all_56_12 = e3 & op(e0, e3) = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2037) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2038)  all_56_12 = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2039)  op(e0, e3) = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2040)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2040) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2041)  all_56_12 = e2 & op(e0, e3) = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2041) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2042)  all_56_12 = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2038), (2042) are inconsistent by sub-proof
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1555.
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2043)  all_56_13 = e2 & op(e0, e2) = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1921), (2043) are inconsistent by sub-proof
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1513.
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2044)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2044) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2045)  all_56_14 = e2 & op(e0, e1) = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2045) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2046)  all_56_14 = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2047)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (224),
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1893), (1927), (1951), (2047), (function-axioms)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1099.
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2048)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2048) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2049)  all_56_6 = e2 & op(e1, e3) = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2049) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2050)  all_56_6 = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2036) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (36), (229), (386), (2035), (2037),
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2050), (function-axioms) are inconsistent by
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1097.
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2051)  all_56_13 = e3 & op(e0, e2) = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2051) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2052)  all_56_13 = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (39), (159), (207), (387), (2039),
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2046), (2052), (function-axioms) are inconsistent
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1457.
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2053)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2053) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2054)  all_56_14 = e3 & op(e0, e1) = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2046), (2054) are inconsistent by sub-proof
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1275.
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2055)  all_56_15 = e3 & op(e0, e0) = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2055) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2056)  op(e0, e0) = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2002), (2056), (function-axioms) are
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2057)  all_56_12 = e2 & op(e0, e3) = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2057) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2058)  all_56_12 = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (206),
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (209), (387), (1913), (2046), (2058),
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1095.
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2059)  all_56_15 = e2 & op(e0, e0) = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2059) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2060)  op(e0, e0) = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (2060), (function-axioms) are
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2061)  all_56_13 = e3 & op(e0, e2) = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2061) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2062)  all_56_13 = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1921), (2062) are inconsistent by sub-proof
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1357.
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2063)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2063) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2064)  all_56_14 = e3 & op(e0, e1) = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2064) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2065)  all_56_14 = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2066)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2066) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2067)  all_56_4 = e2 & op(e3, e1) = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2067) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2068)  all_56_4 = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2069)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2069) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2070)  all_56_12 = e2 & op(e0, e3) = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2070) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2071)  all_56_12 = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2072)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2072) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2073)  all_56_0 = e0 & op(e3, e3) = e0
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2073) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2074)  op(e3, e3) = e0
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (2074), (function-axioms) are
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2075)  all_56_1 = e0 & op(e3, e2) = e0
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2075) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2076)  all_56_1 = e0
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2077)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2077) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2078)  all_56_2 = e3 & op(e2, e3) = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2078) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2079)  all_56_2 = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2080)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2080) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2081)  all_56_0 = e3 & op(e3, e3) = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2081) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2082)  op(e3, e3) = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2083)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (1889), (2082), (2083),
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1094.
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2084)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2084) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2085)  all_56_6 = e1 & op(e1, e3) = e1
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2085) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2086)  all_56_6 = e1
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (207),
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (229), (386), (387), (389), (2065), (2079),
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2086), (function-axioms) are inconsistent by
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1091.
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2087)  all_56_12 = e1 & op(e0, e3) = e1
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2087) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2088)  all_56_12 = e1
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (207),
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (229), (233), (386), (387), (389), (2065),
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2079), (2082), (2088), (function-axioms) are
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1090.
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2089)  all_56_1 = e3 & op(e3, e2) = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2089) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2090)  all_56_1 = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2076), (2090) are inconsistent by sub-proof
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1573.
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2091)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2091) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2092)  all_56_4 = e3 & op(e3, e1) = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2092) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2093)  all_56_4 = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2068), (2093) imply:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2094)  e3 = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2094) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2095)  e3 = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2065), (2095) imply:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2096)  all_56_14 = e2
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (206), (209), (1921),
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2071), (2096), (function-axioms) are inconsistent
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1096.
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2097)  all_56_9 = e3 & op(e3, e0) = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2097) implies:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2098)  op(e3, e0) = e3
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2099)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (2035), (2099),
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1595.
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2100)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2100) gives:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2101)  all_56_6 = e0 & op(e1, e3) = e0
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2101) implies:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2102)  op(e1, e3) = e0
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2103)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2103) gives:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2104)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2104) gives:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2105)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17) = all_57_2 & op(e3, all_57_18) =
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2105) implies:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2106)  op(e3, e2) = e3
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (168), (170), (201), (285), (2098), (2106),
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1089.
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2107)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_18) =
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2107) implies:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2108)  op(e1, e3) = e3
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2102), (2108), (function-axioms) are
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1536.
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2109)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2109) gives:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2110)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_17) =
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2110) implies:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2111)  all_57_25 = e3
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2023), (2111) imply:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2112)  all_52_3 = e3
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2112) implies:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2113)  all_52_3 = e3
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2032), (2113) imply:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2114)  $false
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2114) is inconsistent.
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2115)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) =
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2115) implies:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2116)  op(e3, e2) = e2
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (1948), (2116), (function-axioms) are
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2117)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2117) gives:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2118)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2035), (2118), (function-axioms) are inconsistent
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1281.
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2119)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (165), (169), (1892), (1914), (1935),
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1996), (2119), (function-axioms) are inconsistent
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1490.
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2120)  all_56_12 = e0 & op(e0, e3) = e0
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2120) implies:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2121)  all_56_12 = e0
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (208), (389), (1921), (2065),
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2121), (function-axioms) are inconsistent by
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1509.
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2122)  all_56_3 = e3 & op(e2, e2) = e3
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2122) implies:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2123)  op(e2, e2) = e3
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1951), (2123), (function-axioms) are
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2124)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2124) gives:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2125)  all_56_5 = e3 & op(e2, e1) = e3
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2125) implies:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2126)  op(e2, e1) = e3
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2034), (2126), (function-axioms) are
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2127)  all_56_10 = e3 & op(e2, e0) = e3
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2127) implies:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2128)  all_56_10 = e3
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1927), (2128) are inconsistent by sub-proof
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1489.
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2129)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2129) gives:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2130)  all_56_4 = e0 & op(e3, e1) = e0
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2130) implies:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2131)  all_56_4 = e0
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2068), (2131) imply:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2132)  e2 = e0
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2071), (2132) imply:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2133)  all_56_12 = e0
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (208), (389), (1921), (2065),
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2133), (function-axioms) are inconsistent by
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1509.
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2134)  all_56_9 = e0 & op(e3, e0) = e0
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2134) implies:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2135)  all_56_9 = e0
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2136)  op(e3, e0) = e0
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2137)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (39), (160), (210), (387), (1914),
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2135), (2136), (2137), (function-axioms) are
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1088.
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2138)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2138) gives:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2139)  all_56_11 = e3 & op(e1, e0) = e3
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2139) implies:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2140)  all_56_11 = e3
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2141)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2141) gives:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2142)  all_56_6 = e2 & op(e1, e3) = e2
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2142) implies:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2143)  all_56_6 = e2
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2144)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (2035), (2144),
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1595.
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2145)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2145) gives:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2146)  all_56_6 = e0 & op(e1, e3) = e0
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2146) implies:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2147)  all_56_6 = e0
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2143), (2147) imply:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2148)  e2 = e0
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2148) implies:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2149)  e2 = e0
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2071), (2149) imply:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2150)  all_56_12 = e0
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (208), (389), (1921), (2065),
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2150), (function-axioms) are inconsistent by
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1509.
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2151)  all_56_12 = e0 & op(e0, e3) = e0
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2151) implies:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2152)  all_56_12 = e0
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (208), (389), (1921), (2065),
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2152), (function-axioms) are inconsistent by
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1509.
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2153)  all_56_7 = e2 & op(e1, e2) = e2
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2153) implies:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2154)  op(e1, e2) = e2
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1949), (2154), (function-axioms) are
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2155)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2155) gives:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2156)  all_56_8 = e2 & op(e1, e1) = e2
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2156) implies:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2157)  op(e1, e1) = e2
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1917), (2157), (function-axioms) are
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2158)  all_56_11 = e2 & op(e1, e0) = e2
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2158) implies:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2159)  all_56_11 = e2
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2140), (2159) imply:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2160)  e3 = e2
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2065), (2160) imply:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2161)  all_56_14 = e2
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (206),
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (209), (213), (216), (221), (224), (233),
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (1893), (1913), (1917), (1927), (1951),
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2159), (2161), (function-axioms) are inconsistent
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1087.
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2162)  all_56_15 = e3 & op(e0, e0) = e3
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2162) implies:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2163)  op(e0, e0) = e3
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (207),
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (387), (389), (2065), (2071), (2163),
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1155.
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2164)  all_56_13 = e2 & op(e0, e2) = e2
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2164) implies:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2165)  all_56_13 = e2
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1921), (2165) are inconsistent by sub-proof
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1086.
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2166)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (2065), (2166),
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1510.
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2167)  all_56_5 = e2 & op(e2, e1) = e2
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2167) implies:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2168)  all_56_5 = e2
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2169)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2169) gives:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2170)  all_56_12 = e2 & op(e0, e3) = e2
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2170) implies:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2171)  all_56_12 = e2
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2172)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2172) gives:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2173)  all_56_2 = e0 & op(e2, e3) = e0
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2173) implies:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2174)  op(e2, e3) = e0
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2035), (2174), (function-axioms) are
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1596.
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2175)  all_56_3 = e0 & op(e2, e2) = e0
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2175) implies:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2176)  op(e2, e2) = e0
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1951), (2176), (function-axioms) are
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2177)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2177) gives:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2178)  all_56_5 = e0 & op(e2, e1) = e0
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2178) implies:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2179)  all_56_5 = e0
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2168), (2179) imply:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2180)  e2 = e0
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2171), (2180) imply:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2181)  all_56_12 = e0
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (208), (389), (1921), (2065),
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2181), (function-axioms) are inconsistent by
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1509.
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2182)  all_56_10 = e0 & op(e2, e0) = e0
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1927), (2182) are inconsistent by sub-proof
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1409.
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2183)  all_56_13 = e2 & op(e0, e2) = e2
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2183) implies:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2184)  all_56_13 = e2
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1921), (2184) are inconsistent by sub-proof
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1086.
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2185)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (2065), (2185),
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1510.
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2186)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (1917), (2065), (2186),
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1085.
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2187)  all_56_15 = e3 & op(e0, e0) = e3
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2187) implies:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2188)  op(e0, e0) = e3
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2002), (2188), (function-axioms) are
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2189)   ~ (all_54_4 = e3)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2190)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (284), (2189) imply:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2191)   ~ (all_52_1 = e3)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2192)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2192) gives:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2193)  all_56_2 = e3 & op(e2, e3) = e3
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2193) implies:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2194)  op(e2, e3) = e3
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (284), (1889), (2027), (2190), (2191),
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2194), (function-axioms) are inconsistent by
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1081.
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2195)  all_56_3 = e3 & op(e2, e2) = e3
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2195) implies:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2196)  op(e2, e2) = e3
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1951), (2196), (function-axioms) are
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2197)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2197) gives:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2198)  all_56_5 = e3 & op(e2, e1) = e3
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2198) implies:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2199)  op(e2, e1) = e3
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2200)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2200) gives:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2201)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2201) gives:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2202)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17) = all_57_2 & op(e3, all_57_18) =
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2202) implies:
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2203)  op(e2, e3) = e3
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (284), (1889), (2027), (2190), (2191),
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2203), (function-axioms) are inconsistent by
% 175.09/26.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1081.
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2204)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_18) =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2204) implies:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2205)   ~ (all_57_28 = e1)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2026), (2205) imply:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2206)  $false
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2206) is inconsistent.
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2207)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2207) gives:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2208)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_17) =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2208) implies:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2209)  all_57_25 = e3
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2210)  op(e3, e0) = e3
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2023), (2209) imply:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2211)  all_52_3 = e3
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2211) imply:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2212)   ~ (all_52_2 = e3)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2190) gives:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2213)  all_54_4 = e2
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (2027), (2213) are inconsistent by
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1084.
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2214)  all_54_4 = e1 | all_54_4 = e0
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2214) gives:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2215)  all_54_4 = e1
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (1889), (2215) are inconsistent by
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1083.
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2216)  all_54_4 = e0
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (2216) imply:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2217)  all_52_1 = e0
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2217) implies:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2218)  all_52_1 = e0
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2218) imply:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2219)   ~ (all_52_2 = e0)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2219) implies:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2220)   ~ (all_52_2 = e0)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2221)  all_54_8 = e3
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (2221) imply:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2222)  all_52_2 = e3
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2212), (2222) imply:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2223)  $false
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2223) is inconsistent.
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2224)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2224) gives:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2225)  all_54_8 = e2
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (2225) imply:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2226)  all_52_2 = e2
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (2226) imply:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2227)   ~ (all_52_14 = e2)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2227) implies:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2228)   ~ (all_52_14 = e2)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (168), (193), (265), (1914), (1998),
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2210), (2228), (function-axioms) are inconsistent
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1080.
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2229)  all_54_8 = e1 | all_54_8 = e0
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (1890), (2220), (2229) are inconsistent by
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1079.
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2230)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2230) implies:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2231)  op(e2, e3) = e2
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (200), (284), (1889), (2027), (2191),
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2231), (function-axioms) are inconsistent by
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1075.
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2232)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2232) gives:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2233)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2233) gives:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2234)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_21) =
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2234) implies:
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2235)  op(e2, e1) = e2
% 175.09/26.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2199), (2235), (function-axioms) are
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1297.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2236)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_20) =
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2236) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2237)  op(e2, e0) = e2
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2238)  op(e2, e2) = all_57_29
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2239)  op(e2, all_57_19) = all_57_4
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2025), (2239) imply:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2240)  op(e2, all_52_1) = all_57_4
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2190) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2241)  all_54_4 = e2
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (2027), (2241) are inconsistent by
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1084.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2242)  all_54_4 = e1 | all_54_4 = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2242) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2243)  all_54_4 = e1
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (1889), (2243) are inconsistent by
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1083.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2244)  all_54_4 = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (2244) imply:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2245)  all_52_1 = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2245) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2246)  all_52_1 = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2246) imply:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2247)   ~ (all_52_9 = e0)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2247) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2248)   ~ (all_52_9 = e0)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2240), (2246) imply:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2249)  op(e2, e0) = all_57_4
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2250)  all_54_6 = e3
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (2250) imply:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2251)  all_52_9 = e3
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2251) imply:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2252)   ~ (all_52_8 = e3)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (2251) imply:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2253)   ~ (all_52_11 = e3)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2253) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2254)   ~ (all_52_11 = e3)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2255)  all_54_14 = e3
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (2254), (2255) are inconsistent by
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1259.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2256)   ~ (all_54_14 = e3)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2257)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2257) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2258)  all_54_14 = e2
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (2258) imply:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2259)  all_52_11 = e2
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2259) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2260)  all_52_11 = e2
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (2260) imply:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2261)   ~ (all_52_8 = e2)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2262)  all_54_2 = e3
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (2252), (2262) are inconsistent by
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1335.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2263)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2264)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2264) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2265)  all_56_4 = e2 & op(e3, e1) = e2
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2265) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2266)  all_56_4 = e2
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2267)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2267) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2268)  all_56_12 = e2 & op(e0, e3) = e2
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2268) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2269)  all_56_12 = e2
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2270)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2270) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2271)  all_56_0 = e0 & op(e3, e3) = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2271) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2272)  op(e3, e3) = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (2272), (function-axioms) are
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2273)  all_56_1 = e0 & op(e3, e2) = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2273) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2274)  all_56_1 = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2275)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2275) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2276)  all_56_1 = e3 & op(e3, e2) = e3
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2274), (2276) are inconsistent by sub-proof
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1138.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2277)  all_56_3 = e3 & op(e2, e2) = e3
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2277) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2278)  op(e2, e2) = e3
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1951), (2278), (function-axioms) are
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2279)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2279) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2280)  all_56_7 = e3 & op(e1, e2) = e3
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2280) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2281)  all_56_7 = e3
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2282)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2282) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2283)  all_56_12 = e3 & op(e0, e3) = e3
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2269), (2283) are inconsistent by sub-proof
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1074.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2284)  all_56_13 = e3 & op(e0, e2) = e3
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2284) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2285)  all_56_13 = e3
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2286)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2286) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2287)  all_56_1 = e1 & op(e3, e2) = e1
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2287) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2288)  all_56_1 = e1
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2289)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2289) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2273), (2288) are inconsistent by sub-proof
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1581.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2290)  all_56_3 = e0 & op(e2, e2) = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2290) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2291)  op(e2, e2) = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (2281), (2285), (2288),
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2291), (function-axioms) are inconsistent by
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1070.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2292)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2292) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2293)  all_56_7 = e0 & op(e1, e2) = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2293) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2294)  all_56_7 = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2281), (2294) are inconsistent by sub-proof
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1464.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2295)  all_56_13 = e0 & op(e0, e2) = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2285), (2295) are inconsistent by sub-proof
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1421.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2296)  all_56_3 = e1 & op(e2, e2) = e1
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2296) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2297)  op(e2, e2) = e1
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1951), (2297), (function-axioms) are
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2298)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2298) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2299)  all_56_7 = e1 & op(e1, e2) = e1
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2281), (2299) are inconsistent by sub-proof
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1069.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1920), (2285) are inconsistent by sub-proof
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1460.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2300)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2300) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2301)  all_56_14 = e3 & op(e0, e1) = e3
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2301) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2302)  all_56_14 = e3
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (165), (217), (1917), (2248),
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2266), (2302), (function-axioms) are inconsistent
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1067.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2303)  all_56_15 = e3 & op(e0, e0) = e3
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2303) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2304)  op(e0, e0) = e3
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2002), (2304), (function-axioms) are
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2305)  all_56_13 = e3 & op(e0, e2) = e3
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1921), (2305) are inconsistent by sub-proof
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1066.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2306)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2306) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2307)  all_56_4 = e0 & op(e3, e1) = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2307) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2308)  all_56_4 = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2266), (2308) are inconsistent by sub-proof
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1394.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2309)  all_56_9 = e0 & op(e3, e0) = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2309) implies:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2310)  all_56_9 = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2311)  op(e3, e0) = e0
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2312)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (39), (160), (210), (387), (1914),
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2310), (2311), (2312), (function-axioms) are
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1088.
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2313)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2313) gives:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2314)  all_56_11 = e3 & op(e1, e0) = e3
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2314) implies:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2315)  all_56_11 = e3
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2316)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2316) gives:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2317)  all_56_9 = e2 & op(e3, e0) = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2317) implies:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2318)  all_56_9 = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2310), (2318) are inconsistent by sub-proof
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1570.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2319)  all_56_10 = e2 & op(e2, e0) = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2319) implies:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2320)  all_56_10 = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (167), (222), (1889), (1961), (2199),
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2320), (function-axioms) are inconsistent by
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1063.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2321)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (2315), (2321),
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1200.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2322)  all_56_15 = e3 & op(e0, e0) = e3
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2322) implies:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2323)  op(e0, e0) = e3
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2002), (2323), (function-axioms) are
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2324)  all_56_13 = e2 & op(e0, e2) = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2324) implies:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2325)  all_56_13 = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1921), (2325) imply:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2326)  e2 = e1
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2266), (2326) imply:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2327)  all_56_4 = e1
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (1917), (2248), (2327), (function-axioms)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1467.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2328)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2328) gives:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2329)  all_56_14 = e2 & op(e0, e1) = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2329) implies:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2330)  all_56_14 = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (165), (217), (1917), (2248), (2266),
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2330), (function-axioms) are inconsistent by
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1062.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2331)  all_56_15 = e2 & op(e0, e0) = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2331) implies:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2332)  op(e0, e0) = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (2332), (function-axioms) are
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2333)  all_56_5 = e2 & op(e2, e1) = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2333) implies:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2334)  op(e2, e1) = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (198), (262), (276), (1913), (1997),
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2248), (2257), (2334), (function-axioms) are
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1144.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2335)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2335) gives:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2336)  all_56_8 = e2 & op(e1, e1) = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2336) implies:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2337)  op(e1, e1) = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1917), (2337), (function-axioms) are
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2338)  all_56_14 = e2 & op(e0, e1) = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2338) implies:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2339)  all_56_14 = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2340)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (224),
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1893), (1927), (1951), (2340), (function-axioms)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1099.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2341)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2341) gives:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2342)  all_56_6 = e2 & op(e1, e3) = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2342) implies:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2343)  all_56_6 = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2263) gives:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2344)  all_54_2 = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (2261), (2344) are inconsistent by
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1480.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2345)   ~ (all_54_2 = e2)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2346)  all_54_2 = e1 | all_54_2 = e0
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2346) gives:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2347)  all_54_2 = e1
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (1892), (2347) are inconsistent by
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1479.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2348)  all_54_2 = e0
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (2348) imply:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2349)  all_52_8 = e0
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2349) implies:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2350)  all_52_8 = e0
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (2350) imply:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2351)   ~ (all_52_4 = e0)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2352)  all_54_1 = e3
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (2352) imply:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2353)  all_52_4 = e3
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2353) implies:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2354)  all_52_4 = e3
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (2354) imply:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2355)   ~ (all_52_6 = e3)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2355) implies:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2356)   ~ (all_52_6 = e3)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2357)  all_54_9 = e3
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (2356), (2357) are inconsistent by
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2358)   ~ (all_54_9 = e3)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2359)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2360)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2360) gives:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2361)  all_56_9 = e2 & op(e3, e0) = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2361) implies:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2362)  all_56_9 = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2359) gives:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2363)  all_54_9 = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (1949), (2363) are inconsistent by
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1323.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2364)   ~ (all_54_9 = e2)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2365)  all_54_9 = e1 | all_54_9 = e0
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2263) gives:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2366)  all_54_2 = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (2261), (2366) are inconsistent by
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1480.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2346) gives:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2367)  all_54_2 = e1
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (1892), (2367) are inconsistent by
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1479.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2365) gives:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2368)  all_54_9 = e1
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (1933), (2368) are inconsistent by
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1322.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2369)  all_54_9 = e0
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (2369) imply:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2370)  all_52_6 = e0
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2370) implies:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2371)  all_52_6 = e0
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_57_4,
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e2, simplifying with (1928), (2249) gives:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2372)  all_57_4 = e1
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_57_4,
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e2, simplifying with (2237), (2249) gives:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2373)  all_57_4 = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2372), (2373) imply:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2374)  e2 = e1
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2362), (2374) imply:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2375)  all_56_9 = e1
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (170),
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (234), (236), (386), (1893), (2351),
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2375), (function-axioms) are inconsistent by
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1059.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2376)  all_56_10 = e2 & op(e2, e0) = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2376) implies:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2377)  all_56_10 = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (167), (222), (1889), (1961), (2199),
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2377), (function-axioms) are inconsistent by
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1063.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2378)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (213), (216),
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (389), (1917), (2343), (2378), (function-axioms)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1387.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2379)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (1932), (1948), (2351), (2379) are
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1057.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2380)  all_56_12 = e2 & op(e0, e3) = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2380) implies:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2381)  all_56_12 = e2
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (206),
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (209), (387), (1913), (2339), (2381),
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1095.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2382)  all_54_14 = e1 | all_54_14 = e0
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (1913), (1997), (2382) are inconsistent by
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1305.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2383)   ~ (all_54_6 = e3)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (276), (2383) imply:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2384)   ~ (all_52_9 = e3)
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2199), (2384), (function-axioms) are
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2385)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2385) gives:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2386)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2386) implies:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2387)  op(e3, e1) = e1
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (1892), (2387), (function-axioms) are
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2388)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2388) gives:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2389)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2389) implies:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2390)  op(e2, e1) = e1
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2199), (2390), (function-axioms) are
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2391)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2391) implies:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2392)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1914), (1996), (2392), (function-axioms)
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1583.
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2393)  all_56_10 = e3 & op(e2, e0) = e3
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2393) implies:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2394)  all_56_10 = e3
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1927), (2394) are inconsistent by sub-proof
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1489.
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2395)  all_32_2 = e3
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (2395) imply:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2396)  all_6_2 = e3
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2396) implies:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2397)  all_6_2 = e3
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (2397) imply:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2398)  all_38_2 = e3
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1929), (2397) imply:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2399)  all_57_31 = e3
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (2397) imply:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2400)   ~ (all_52_12 = e3)
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2397) imply:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2401)  op(e0, e0) = e3
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2402)   ~ (all_38_2 = e3)
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2398), (2402) imply:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2403)  $false
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2403) is inconsistent.
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2404)  ( ~ (all_38_0 = e1) & op(e3, e3) = all_38_0 &
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_38_0)) | ( ~ (all_38_1 = e2) & op(e3, e0)
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_38_1 & $i(all_38_1))
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2405)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (1951), (2405),
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1585.
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2406)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_24 & $i(all_57_24))
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2406) gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2407)  all_57_30 = e0 & op(e1, e1) = e0
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2407) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2408)  op(e1, e1) = e0
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1917), (2408), (function-axioms) are
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2409)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24))
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2409) gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2410)  all_57_31 = e0 & op(e0, e0) = e0
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2410) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2411)  op(e0, e0) = e0
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2401), (2411), (function-axioms) are
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2412)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_24)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2412) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2413)   ~ (all_57_24 = e1)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2414)  op(e1, e0) = all_57_24
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2415)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (1951), (2415),
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1585.
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2416)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_21 & $i(all_57_21))
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2416) gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2417)  all_57_30 = e0 & op(e1, e1) = e0
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2417) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2418)  op(e1, e1) = e0
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1917), (2418), (function-axioms) are
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2419)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_21))
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2419) gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2420)  all_57_31 = e0 & op(e0, e0) = e0
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2420) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2421)  op(e0, e0) = e0
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2401), (2421), (function-axioms) are
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2422)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_21)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2422) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2423)   ~ (all_57_21 = e2)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2424)  op(e2, e0) = all_57_21
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2404) gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2425)   ~ (all_38_0 = e1) & op(e3, e3) = all_38_0 &
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_38_0)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2425) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2426)   ~ (all_38_0 = e1)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2427)  op(e3, e3) = all_38_0
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1893), (2426), (2427), (function-axioms) are
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1056.
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2428)   ~ (all_38_1 = e2) & op(e3, e0) = all_38_1 &
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_38_1)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2428) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2429)   ~ (all_38_1 = e2)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2430)  op(e3, e0) = all_38_1
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2431)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (1951), (2431),
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1585.
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2432)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & $i(all_57_18))
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2432) gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2433)  all_57_30 = e0 & op(e1, e1) = e0
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2433) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2434)  op(e1, e1) = e0
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1917), (2434), (function-axioms) are
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2435)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_18))
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2435) gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2436)  all_57_31 = e0 & op(e0, e0) = e0
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2436) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2437)  op(e0, e0) = e0
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2401), (2437), (function-axioms) are
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2438)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_18)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2438) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2439)  op(e3, e0) = all_57_18
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24, e0, e1, simplifying with (160), (2414)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2440)  all_57_24 = all_52_14
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21, e0, e2, simplifying with (1928), (2424)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2441)  all_57_21 = e1
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_18, e0, e3, simplifying with (168), (2439)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2442)  all_57_18 = all_52_12
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_38_1,
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_18, e0, e3, simplifying with (2430), (2439)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2443)  all_57_18 = all_38_1
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2442), (2443) imply:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2444)  all_52_12 = all_38_1
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2444) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2445)  all_52_12 = all_38_1
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (2445) imply:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2446)  all_54_3 = all_38_1
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2445) imply:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2447)   ~ (all_52_4 = all_38_1)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2445) imply:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2448)   ~ (all_52_14 = all_38_1)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2448) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2449)   ~ (all_52_14 = all_38_1)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2400), (2445) imply:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2450)   ~ (all_38_1 = e3)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1936), (2445) imply:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2451)   ~ (all_38_1 = e1)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2452)  all_54_3 = e3
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2446), (2450), (2452) are inconsistent by
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1055.
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2453)   ~ (all_54_3 = e3)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2454)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2455)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (1893), (1948), (2455),
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1054.
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2456)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2456) gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2457)  all_56_4 = e2 & op(e3, e1) = e2
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2457) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2458)  all_56_4 = e2
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2459)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2459) gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2460)  all_56_0 = e3 & op(e3, e3) = e3
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2460) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2461)  op(e3, e3) = e3
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1893), (2461), (function-axioms) are
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2462)  all_56_1 = e3 & op(e3, e2) = e3
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2462) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2463)  all_56_1 = e3
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2464)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2464) gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2465)  all_56_9 = e2 & op(e3, e0) = e2
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (160), (206), (1927), (2401),
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2429), (2446), (2449), (2451), (2454), (2465),
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1050.
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2466)  all_56_10 = e2 & op(e2, e0) = e2
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2466) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2467)  op(e2, e0) = e2
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2423), (2424), (2467), (function-axioms) are
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1388.
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2468)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2468) gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2469)  all_56_11 = e2 & op(e1, e0) = e2
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2469) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2470)  all_56_11 = e2
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2471)  all_56_15 = e0 & op(e0, e0) = e0
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2471) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2472)  op(e0, e0) = e0
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2401), (2472), (function-axioms) are
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2473)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2473) implies:
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2474)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 175.09/26.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2475)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2475) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2476)  all_56_9 = e0 & op(e3, e0) = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2476) implies:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2477)  op(e3, e0) = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2478)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (236), (1893), (1951), (2458),
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2477), (2478), (function-axioms) are inconsistent
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1048.
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2479)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2479) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2480)  all_56_7 = e0 & op(e1, e2) = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2480) implies:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2481)  all_56_7 = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2482)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2482) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2483)  all_56_6 = e3 & op(e1, e3) = e3
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2483) implies:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2484)  all_56_6 = e3
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2485)  op(e1, e3) = e3
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2486)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2486) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2487)  all_56_4 = e3 & op(e3, e1) = e3
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2487) implies:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2488)  all_56_4 = e3
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2458), (2488) imply:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2489)  e3 = e2
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2484), (2489) imply:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2490)  all_56_6 = e2
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (213), (216), (1917),
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2470), (2490), (function-axioms) are inconsistent
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1450.
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2491)  all_56_5 = e3 & op(e2, e1) = e3
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2491) implies:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2492)  all_56_5 = e3
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2493)  op(e2, e1) = e3
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2494)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2494) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2495)  all_56_4 = e0 & op(e3, e1) = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2495) implies:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2496)  all_56_4 = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2458), (2496) are inconsistent by sub-proof
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1394.
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2497)  all_56_5 = e0 & op(e2, e1) = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2497) implies:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2498)  all_56_5 = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2492), (2498) imply:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2499)  e3 = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2499) implies:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2500)  e3 = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2463), (2500) imply:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2501)  all_56_1 = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (1893), (2458), (2477),
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2501), (function-axioms) are inconsistent by
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1049.
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2502)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2502) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2503)  all_56_8 = e0 & op(e1, e1) = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2503) implies:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2504)  op(e1, e1) = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1917), (2504), (function-axioms) are
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2505)  all_56_14 = e0 & op(e0, e1) = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2505) implies:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2506)  all_56_14 = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2507)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2507) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2508)  all_56_12 = e2 & op(e0, e3) = e2
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2508) implies:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2509)  all_56_12 = e2
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2510)  op(e0, e3) = e2
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2511)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2511) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2512)  all_56_0 = e0 & op(e3, e3) = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2512) implies:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2513)  op(e3, e3) = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (2513), (function-axioms) are
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2514)  all_56_2 = e0 & op(e2, e3) = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2514) implies:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2515)  op(e2, e3) = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2454) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2516)  all_54_3 = e2
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2429), (2446), (2516) are inconsistent by
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1053.
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2517)   ~ (all_54_3 = e2)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2518)  all_54_3 = e1 | all_54_3 = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2518) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2519)  all_54_3 = e1
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2446), (2451), (2519) are inconsistent by
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1052.
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2520)  all_54_3 = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2446), (2520) imply:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2521)  all_38_1 = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2521) implies:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2522)  all_38_1 = e0
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2447), (2522) imply:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2523)   ~ (all_52_4 = e0)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2449), (2522) imply:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2524)   ~ (all_52_14 = e0)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2450), (2522) imply:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2525)   ~ (e3 = e0)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2429), (2522) imply:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2526)   ~ (e2 = e0)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2451), (2522) imply:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2527)   ~ (e1 = e0)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2528)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2528) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2529)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2529) gives:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2530)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17) = all_57_2 & op(e3, all_57_18) =
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2530) implies:
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2531)  op(e2, e3) = e3
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2515), (2531), (function-axioms) are
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1596.
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2532)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_18) =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2532) implies:
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2533)  op(e3, e1) = e3
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (169), (203), (287), (1932), (1948),
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2523), (2533), (function-axioms) are inconsistent
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1047.
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2534)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2534) gives:
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2535)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_17) =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2535) implies:
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2536)  op(e3, e0) = e3
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (160), (1927), (2475), (2524), (2536),
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1182.
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2537)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2537) implies:
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2538)  op(e2, e3) = e2
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2515), (2538), (function-axioms) are
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1412.
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2539)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2539) gives:
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2540)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2423), (2424), (2493), (2540),
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1296.
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2541)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2541) gives:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2542)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2542) implies:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2543)  op(e3, e1) = e1
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (1892), (2543), (function-axioms) are
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2544)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2544) gives:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2545)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2545) implies:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2546)  op(e2, e1) = e1
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2493), (2546), (function-axioms) are
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2547)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2547) implies:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2548)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2549)  all_54_1 = e3
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (2549) imply:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2550)  all_52_4 = e3
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2550) implies:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2551)  all_52_4 = e3
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (2551) imply:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2552)   ~ (all_52_6 = e3)
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2552) implies:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2553)   ~ (all_52_6 = e3)
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2554)  all_54_9 = e3
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (2553), (2554) are inconsistent by
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2555)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2548) gives:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2556)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22) = all_57_8 & op(e1, all_57_23) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2556) implies:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2557)  op(e1, e0) = e1
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2413), (2414), (2557), (function-axioms) are
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1423.
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2558)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25) = all_57_12 & op(e0, all_57_26) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & all_57_25 = e0 & op(e3, e0) = e0) |
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0))
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2558) implies:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2559)  op(e0, e3) = all_57_25
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2560)  op(e0, all_57_31) = all_57_15
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2561)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e0 & op(e1, e0) = e0)
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2399), (2560) imply:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2562)  op(e0, e3) = all_57_15
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2561) gives:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2563)  all_57_31 = e0
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1914), (2548), (2563), (function-axioms)
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1583.
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2564)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e0)
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2564) gives:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2565)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2565) implies:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2566)  all_57_25 = e0
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2559), (2566) imply:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2567)  op(e0, e3) = e0
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15, e3, e0, simplifying with (2510), (2562)
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2568)  all_57_15 = e2
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15, e3, e0, simplifying with (2562), (2567)
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2569)  all_57_15 = e0
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2568), (2569) imply:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2570)  e2 = e0
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2570) implies:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2571)  e2 = e0
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2571) imply:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2572)  $false
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2572) is inconsistent.
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2573)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0)
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2573) gives:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2574)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2441), (2574) are inconsistent by sub-proof
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1391.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2575)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2575) implies:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2576)  op(e1, e0) = e0
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (273), (1933), (1949), (2555),
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2576), (function-axioms) are inconsistent by
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1045.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2577)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (1932), (1948), (2523), (2577) are
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1057.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2578)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (2485), (2509), (2578),
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1221.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2579)  all_56_13 = e2 & op(e0, e2) = e2
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2579) implies:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2580)  all_56_13 = e2
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1921), (2580) imply:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2581)  e2 = e1
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2581) implies:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2582)  e2 = e1
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2458), (2582) imply:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2583)  all_56_4 = e1
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (1917), (2492), (2506),
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2583), (function-axioms) are inconsistent by
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1471.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2584)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2584) gives:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2585)  all_56_14 = e2 & op(e0, e1) = e2
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2585) implies:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2586)  all_56_14 = e2
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (206),
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (209), (213), (216), (221), (224), (233),
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (1893), (1913), (1917), (1927), (1951),
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2470), (2586), (function-axioms) are inconsistent
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1087.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2587)  all_56_15 = e2 & op(e0, e0) = e2
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2587) implies:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2588)  op(e0, e0) = e2
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (2588), (function-axioms) are
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2589)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2589) gives:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2590)  all_56_8 = e3 & op(e1, e1) = e3
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2590) implies:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2591)  op(e1, e1) = e3
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (393), (395), (1895), (1905), (2591),
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1101.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2592)  all_56_14 = e3 & op(e0, e1) = e3
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2592) implies:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2593)  all_56_14 = e3
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (39), (208), (389),
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1921), (2474), (2593), (function-axioms) are
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1370.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2594)  all_56_7 = e3 & op(e1, e2) = e3
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2594) implies:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2595)  all_56_7 = e3
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2481), (2595) imply:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2596)  e3 = e0
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2463), (2596) imply:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2597)  all_56_1 = e0
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (1893), (2458), (2477),
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2597), (function-axioms) are inconsistent by
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1049.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2598)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2598) gives:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2599)  all_56_8 = e3 & op(e1, e1) = e3
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2599) implies:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2600)  op(e1, e1) = e3
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (393), (395), (1895), (1905), (2600),
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1101.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2601)  all_56_11 = e3 & op(e1, e0) = e3
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2470), (2601) are inconsistent by sub-proof
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1494.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2602)  all_56_13 = e0 & op(e0, e2) = e0
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2602) implies:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2603)  all_56_13 = e0
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1921), (2603) are inconsistent by sub-proof
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1427.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2604)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (1927), (2429), (2446), (2449),
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2451), (2454), (2604), (function-axioms) are
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1051.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2605)  all_56_15 = e2 & op(e0, e0) = e2
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2605) implies:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2606)  op(e0, e0) = e2
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (2606), (function-axioms) are
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2607)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (2400), (2458), (2607),
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1044.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2608)  all_56_9 = e2 & op(e3, e0) = e2
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (160), (206), (1927), (2401),
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2429), (2446), (2449), (2451), (2454), (2608),
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1050.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | |   (2609)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (162), (1921), (1949), (2609),
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | |            #1246.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | |   (2610)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_29 & $i(all_57_29))
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2610) gives:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | |   (2611)  all_57_30 = e2 & op(e1, e1) = e2
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2611) implies:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | |   (2612)  op(e1, e1) = e2
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1917), (2612), (function-axioms) are
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | |   (2613)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29))
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2613) gives:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | |   (2614)  all_57_31 = e2 & op(e0, e0) = e2
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2614) implies:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | |   (2615)  op(e0, e0) = e2
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (2615), (function-axioms) are
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | |   (2616)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2616) implies:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | |   (2617)   ~ (all_57_29 = e2)
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | |   (2618)  op(e2, e2) = all_57_29
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1951), (2617), (2618), (function-axioms) are
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1043.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | |   (2619)  all_54_5 = e1 | all_54_5 = e0
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (392), (1939), (2619) are inconsistent by
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1353.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | |   (2620)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 175.09/26.28  | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 175.09/26.28  | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (387), (1914), (2620),
% 175.09/26.28  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.28  | | | | | | | | | | | | | | | | | |            #1488.
% 175.09/26.28  | | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | |   (2621)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 175.09/26.28  | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 175.09/26.28  | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (387), (1913), (2621),
% 175.09/26.28  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.28  | | | | | | | | | | | | | | | |            #1515.
% 175.09/26.28  | | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | |   (2622)  all_54_10 = e0
% 175.09/26.28  | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | COMBINE_EQS: (349), (2622) imply:
% 175.09/26.28  | | | | | | | | | | | | | | |   (2623)  all_14_2 = e0
% 175.09/26.28  | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | REDUCE: (1895), (2623) imply:
% 175.09/26.28  | | | | | | | | | | | | | | |   (2624)  $false
% 175.09/26.28  | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | | CLOSE: (2624) is inconsistent.
% 175.09/26.28  | | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | End of split
% 175.09/26.28  | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | Case 2:
% 175.09/26.28  | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | |   (2625)  all_26_2 = e0
% 175.09/26.28  | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | COMBINE_EQS: (318), (2625) imply:
% 175.09/26.28  | | | | | | | | | |   (2626)  all_14_2 = e0
% 175.09/26.28  | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | REDUCE: (363), (2626) imply:
% 175.09/26.28  | | | | | | | | | |   (2627)   ~ (all_52_2 = e0)
% 175.09/26.28  | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | REDUCE: (374), (2626) imply:
% 175.09/26.28  | | | | | | | | | |   (2628)   ~ (all_52_6 = e0)
% 175.09/26.28  | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | REDUCE: (377), (2626) imply:
% 175.09/26.28  | | | | | | | | | |   (2629)   ~ (all_52_9 = e0)
% 175.09/26.28  | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | REDUCE: (381), (2626) imply:
% 175.09/26.28  | | | | | | | | | |   (2630)   ~ (all_52_14 = e0)
% 175.09/26.28  | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | REDUCE: (393), (2626) imply:
% 175.09/26.28  | | | | | | | | | |   (2631)   ~ (e2 = e0)
% 175.09/26.28  | | | | | | | | | | 
% 175.09/26.28  | | | | | | | | | | REDUCE: (51), (2626) imply:
% 175.09/26.29  | | | | | | | | | |   (2632)  op(e1, e1) = e0
% 175.09/26.29  | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | BETA: splitting (1886) gives:
% 175.09/26.29  | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | |   (2633)   ~ (all_18_0 = e0) & op(e1, e1) = all_18_0 &
% 175.09/26.29  | | | | | | | | | | |           $i(all_18_0)
% 175.09/26.29  | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | ALPHA: (2633) implies:
% 175.09/26.29  | | | | | | | | | | |   (2634)   ~ (all_18_0 = e0)
% 175.09/26.29  | | | | | | | | | | |   (2635)  op(e1, e1) = all_18_0
% 175.09/26.29  | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | REF_CLOSE: (2632), (2634), (2635), (function-axioms) are
% 175.09/26.29  | | | | | | | | | | |            inconsistent by sub-proof #1042.
% 175.09/26.29  | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | Case 2:
% 175.09/26.29  | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | |   (2636)   ~ (all_18_1 = e2) & op(e1, e3) = all_18_1 &
% 175.09/26.29  | | | | | | | | | | |           $i(all_18_1)
% 175.09/26.29  | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | ALPHA: (2636) implies:
% 175.09/26.29  | | | | | | | | | | |   (2637)   ~ (all_18_1 = e2)
% 175.09/26.29  | | | | | | | | | | |   (2638)  op(e1, e3) = all_18_1
% 175.09/26.29  | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 175.09/26.29  | | | | | | | | | | |              all_18_1, e3, e1, simplifying with (163), (2638)
% 175.09/26.29  | | | | | | | | | | |              gives:
% 175.09/26.29  | | | | | | | | | | |   (2639)  all_52_2 = all_18_1
% 175.09/26.29  | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | COMBINE_EQS: (274), (2639) imply:
% 175.09/26.29  | | | | | | | | | | |   (2640)  all_54_8 = all_18_1
% 175.09/26.29  | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | REDUCE: (149), (2639) imply:
% 175.09/26.29  | | | | | | | | | | |   (2641)   ~ (all_52_1 = all_18_1)
% 175.09/26.29  | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | REDUCE: (143), (2639) imply:
% 175.09/26.29  | | | | | | | | | | |   (2642)   ~ (all_52_6 = all_18_1)
% 175.09/26.29  | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | SIMP: (2642) implies:
% 175.09/26.29  | | | | | | | | | | |   (2643)   ~ (all_52_6 = all_18_1)
% 175.09/26.29  | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | REDUCE: (141), (2639) imply:
% 175.09/26.29  | | | | | | | | | | |   (2644)   ~ (all_52_14 = all_18_1)
% 175.09/26.29  | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | SIMP: (2644) implies:
% 175.09/26.29  | | | | | | | | | | |   (2645)   ~ (all_52_14 = all_18_1)
% 175.09/26.29  | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | REDUCE: (1890), (2639) imply:
% 175.09/26.29  | | | | | | | | | | |   (2646)   ~ (all_18_1 = e1)
% 175.09/26.29  | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | REDUCE: (2627), (2639) imply:
% 175.09/26.29  | | | | | | | | | | |   (2647)   ~ (all_18_1 = e0)
% 175.09/26.29  | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | BETA: splitting (196) gives:
% 175.09/26.29  | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | |   (2648)  all_54_8 = e3
% 175.09/26.29  | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | COMBINE_EQS: (2640), (2648) imply:
% 175.09/26.29  | | | | | | | | | | | |   (2649)  all_18_1 = e3
% 175.09/26.29  | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | REDUCE: (2641), (2649) imply:
% 175.09/26.29  | | | | | | | | | | | |   (2650)   ~ (all_52_1 = e3)
% 175.09/26.29  | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | REDUCE: (2643), (2649) imply:
% 175.09/26.29  | | | | | | | | | | | |   (2651)   ~ (all_52_6 = e3)
% 175.09/26.29  | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | REDUCE: (2645), (2649) imply:
% 175.09/26.29  | | | | | | | | | | | |   (2652)   ~ (all_52_14 = e3)
% 175.09/26.29  | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | REDUCE: (2638), (2649) imply:
% 175.09/26.29  | | | | | | | | | | | |   (2653)  op(e1, e3) = e3
% 175.09/26.29  | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | BETA: splitting (216) gives:
% 175.09/26.29  | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | |   (2654)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 175.09/26.29  | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 175.09/26.29  | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | BETA: splitting (2654) gives:
% 175.09/26.29  | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | |   (2655)  all_56_6 = e3 & op(e1, e3) = e3
% 175.09/26.29  | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | ALPHA: (2655) implies:
% 175.09/26.29  | | | | | | | | | | | | | |   (2656)  all_56_6 = e3
% 175.09/26.29  | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (39), (45), (73), (126),
% 175.09/26.29  | | | | | | | | | | | | | |            (128), (157), (158), (159), (160), (162), (163),
% 175.09/26.29  | | | | | | | | | | | | | |            (164), (165), (167), (169), (193), (195), (198),
% 175.09/26.29  | | | | | | | | | | | | | |            (199), (200), (207), (208), (210), (213), (215),
% 175.09/26.29  | | | | | | | | | | | | | |            (218), (224), (225), (228), (229), (230), (233),
% 175.09/26.29  | | | | | | | | | | | | | |            (234), (236), (245), (254), (265), (273), (276),
% 175.09/26.29  | | | | | | | | | | | | | |            (283), (284), (329), (362), (367), (369), (371),
% 175.09/26.29  | | | | | | | | | | | | | |            (373), (386), (387), (389), (390), (392), (1889),
% 175.09/26.29  | | | | | | | | | | | | | |            (1891), (1892), (1893), (2627), (2628), (2629),
% 175.09/26.29  | | | | | | | | | | | | | |            (2630), (2632), (2650), (2651), (2652), (2653),
% 175.09/26.29  | | | | | | | | | | | | | |            (2656), (function-axioms) are inconsistent by
% 175.09/26.29  | | | | | | | | | | | | | |            sub-proof #1022.
% 175.09/26.29  | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | Case 2:
% 175.09/26.29  | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | |   (2657)  all_56_7 = e3 & op(e1, e2) = e3
% 175.09/26.29  | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | ALPHA: (2657) implies:
% 175.09/26.29  | | | | | | | | | | | | | |   (2658)  all_56_7 = e3
% 175.09/26.29  | | | | | | | | | | | | | |   (2659)  op(e1, e2) = e3
% 175.09/26.29  | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 175.09/26.29  | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | |   (2660)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 175.09/26.29  | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 175.09/26.29  | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | BETA: splitting (2660) gives:
% 175.09/26.29  | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | |   (2661)  all_56_6 = e2 & op(e1, e3) = e2
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | ALPHA: (2661) implies:
% 175.09/26.29  | | | | | | | | | | | | | | | |   (2662)  op(e1, e3) = e2
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2653), (2662), (function-axioms) are
% 175.09/26.29  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1021.
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | Case 2:
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | |   (2663)  all_56_7 = e2 & op(e1, e2) = e2
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2658), (2663) are inconsistent by sub-proof
% 175.09/26.29  | | | | | | | | | | | | | | | |            #1072.
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | End of split
% 175.09/26.29  | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | Case 2:
% 175.09/26.29  | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | |   (2664)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 175.09/26.29  | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 175.09/26.29  | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | BETA: splitting (2664) gives:
% 175.09/26.29  | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | |   (2665)  all_56_8 = e2 & op(e1, e1) = e2
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | ALPHA: (2665) implies:
% 175.09/26.29  | | | | | | | | | | | | | | | |   (2666)  op(e1, e1) = e2
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2632), (2666), (function-axioms) are
% 175.09/26.29  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | Case 2:
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | |   (2667)  all_56_11 = e2 & op(e1, e0) = e2
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | ALPHA: (2667) implies:
% 175.09/26.29  | | | | | | | | | | | | | | | |   (2668)  all_56_11 = e2
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | |   (2669)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 175.09/26.29  | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 175.09/26.29  | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | BETA: splitting (2669) gives:
% 175.09/26.29  | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | |   (2670)  all_56_6 = e1 & op(e1, e3) = e1
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | ALPHA: (2670) implies:
% 175.09/26.29  | | | | | | | | | | | | | | | | | |   (2671)  op(e1, e3) = e1
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1890), (2671), (function-axioms) are
% 175.09/26.29  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1597.
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | |   (2672)  all_56_7 = e1 & op(e1, e2) = e1
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | ALPHA: (2672) implies:
% 175.09/26.29  | | | | | | | | | | | | | | | | | |   (2673)  op(e1, e2) = e1
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2659), (2673), (function-axioms) are
% 175.09/26.29  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1263.
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | End of split
% 175.09/26.29  | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.29  | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | |   (2674)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 175.09/26.29  | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 175.09/26.29  | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | BETA: splitting (2674) gives:
% 175.09/26.29  | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | |   (2675)  all_56_8 = e1 & op(e1, e1) = e1
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | ALPHA: (2675) implies:
% 175.09/26.29  | | | | | | | | | | | | | | | | | |   (2676)  op(e1, e1) = e1
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (162), (213), (2628), (2653),
% 175.09/26.29  | | | | | | | | | | | | | | | | | |            (2668), (2676), (function-axioms) are inconsistent
% 175.09/26.29  | | | | | | | | | | | | | | | | | |            by sub-proof #1109.
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | |   (2677)  all_56_11 = e1 & op(e1, e0) = e1
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2668), (2677) are inconsistent by sub-proof
% 175.09/26.29  | | | | | | | | | | | | | | | | | |            #1108.
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | End of split
% 175.09/26.29  | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | End of split
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | End of split
% 175.09/26.29  | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | End of split
% 175.09/26.29  | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | End of split
% 175.09/26.29  | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | Case 2:
% 175.09/26.29  | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | |   (2678)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 175.09/26.29  | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 175.09/26.29  | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | BETA: splitting (2678) gives:
% 175.09/26.29  | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | |   (2679)  all_56_8 = e3 & op(e1, e1) = e3
% 175.09/26.29  | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | ALPHA: (2679) implies:
% 175.09/26.29  | | | | | | | | | | | | | |   (2680)  op(e1, e1) = e3
% 175.09/26.29  | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | REF_CLOSE: (7), (2632), (2680), (function-axioms) are
% 175.09/26.29  | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 175.09/26.29  | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | Case 2:
% 175.09/26.29  | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | |   (2681)  all_56_11 = e3 & op(e1, e0) = e3
% 175.09/26.29  | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | ALPHA: (2681) implies:
% 175.09/26.29  | | | | | | | | | | | | | |   (2682)  all_56_11 = e3
% 175.09/26.29  | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 175.09/26.29  | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | |   (2683)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 175.09/26.29  | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 175.09/26.29  | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | BETA: splitting (2683) gives:
% 175.09/26.29  | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | |   (2684)  all_56_6 = e2 & op(e1, e3) = e2
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | ALPHA: (2684) implies:
% 175.09/26.29  | | | | | | | | | | | | | | | |   (2685)  all_56_6 = e2
% 175.09/26.29  | | | | | | | | | | | | | | | |   (2686)  op(e1, e3) = e2
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 175.09/26.29  | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | |   (2687)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 175.09/26.29  | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 175.09/26.29  | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | BETA: splitting (2687) gives:
% 175.09/26.29  | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | |   (2688)  all_56_6 = e1 & op(e1, e3) = e1
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | ALPHA: (2688) implies:
% 175.09/26.29  | | | | | | | | | | | | | | | | | |   (2689)  op(e1, e3) = e1
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1890), (2689), (function-axioms) are
% 175.09/26.29  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1597.
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | |   (2690)  all_56_7 = e1 & op(e1, e2) = e1
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | ALPHA: (2690) implies:
% 175.09/26.29  | | | | | | | | | | | | | | | | | |   (2691)  all_56_7 = e1
% 175.09/26.29  | | | | | | | | | | | | | | | | | |   (2692)  op(e1, e2) = e1
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | |   (2693)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 175.09/26.29  | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | BETA: splitting (2693) gives:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | |   (2694)  all_56_9 = e1 & op(e3, e0) = e1
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | ALPHA: (2694) implies:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | |   (2695)  all_56_9 = e1
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (1893), (2695),
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | |            #1103.
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | |   (2696)  all_56_10 = e1 & op(e2, e0) = e1
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | ALPHA: (2696) implies:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | |   (2697)  all_56_10 = e1
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | |   (2698)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2698) gives:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | |   (2699)  all_56_2 = e3 & op(e2, e3) = e3
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2699) implies:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | |   (2700)  all_56_2 = e3
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | |   (2701)  op(e2, e3) = e3
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | |   (2702)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (2701), (2702),
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | |            #1595.
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | |   (2703)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2703) gives:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | |   (2704)  all_56_6 = e0 & op(e1, e3) = e0
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2627), (2704), (function-axioms) are
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1197.
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | |   (2705)  all_56_12 = e0 & op(e0, e3) = e0
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2705) implies:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | |   (2706)  all_56_12 = e0
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | |   (2707)  op(e0, e3) = e0
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (2708)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2708) gives:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2709)  all_56_9 = e2 & op(e3, e0) = e2
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2709) implies:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2710)  all_56_9 = e2
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2711)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2711) gives:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2712)  all_56_0 = e0 & op(e3, e3) = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2712) implies:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2713)  op(e3, e3) = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (2713), (function-axioms) are
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2714)  all_56_1 = e0 & op(e3, e2) = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2714) implies:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2715)  all_56_1 = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (45),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (126), (128), (157), (158), (159), (160),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (162), (163), (164), (165), (167), (169), (193),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (195), (198), (199), (200), (206), (207), (208),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (211), (213), (214), (215), (218),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (221), (223), (224), (225), (227), (228),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (230), (231), (233), (234), (235), (236),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (245), (254), (265), (273), (276), (283), (284),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (329), (362), (367), (369), (371), (373), (386),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (389), (390), (392), (1889), (1890),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1891), (1892), (1893), (2627), (2628), (2629),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2630), (2632), (2650), (2651), (2652), (2653),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2682), (2685), (2686), (2691), (2692), (2697),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2715), (function-axioms) are inconsistent by
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #997.
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2716)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2716) gives:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2717)  all_56_4 = e0 & op(e3, e1) = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2717) implies:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2718)  op(e3, e1) = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2719)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2719) gives:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2720)  all_56_0 = e3 & op(e3, e3) = e3
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2720) implies:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2721)  op(e3, e3) = e3
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2722)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (1889), (2721), (2722),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1094.
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2723)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2723) gives:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2724)  all_56_6 = e1 & op(e1, e3) = e1
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2685), (2724) are inconsistent by sub-proof
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #996.
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2725)  all_56_12 = e1 & op(e0, e3) = e1
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2725) implies:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2726)  all_56_12 = e1
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2727)  op(e0, e3) = e1
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (36), (229), (233),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (2700), (2701), (2721), (2726), (2727),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1588.
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2728)  all_56_1 = e3 & op(e3, e2) = e3
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2728) implies:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2729)  all_56_1 = e3
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2730)  all_56_15 = e0 & op(e0, e0) = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2730) implies:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2731)  op(e0, e0) = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2732)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2732) gives:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2733)  all_56_1 = e0 & op(e3, e2) = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2733) implies:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2734)  all_56_1 = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (45),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (126), (128), (157), (158), (159), (160),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (162), (163), (164), (165), (167), (169), (193),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (195), (198), (199), (200), (206), (207), (208),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (211), (213), (214), (215), (218),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (221), (223), (224), (225), (227), (228),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (230), (231), (233), (234), (235), (236),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (245), (254), (265), (273), (276), (283), (284),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (329), (362), (367), (369), (371), (373), (386),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (389), (390), (392), (1889), (1890),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1891), (1892), (1893), (2627), (2628), (2629),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2630), (2632), (2650), (2651), (2652), (2653),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2682), (2685), (2686), (2691), (2692), (2697),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2734), (function-axioms) are inconsistent by
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #997.
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2735)  all_56_3 = e0 & op(e2, e2) = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2735) implies:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2736)  op(e2, e2) = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (392), (2736), (function-axioms) are
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1623.
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2737)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0)
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2737) gives:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2738)  all_56_7 = e0 & op(e1, e2) = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2628), (2738), (function-axioms) are
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1199.
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2739)  all_56_13 = e0 & op(e0, e2) = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2739) implies:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2740)  all_56_13 = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2741)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2741) gives:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2742)  all_56_12 = e3 & op(e0, e3) = e3
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (36), (229), (386), (2685), (2701),
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2742), (function-axioms) are inconsistent by
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1097.
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2743)  all_56_13 = e3 & op(e0, e2) = e3
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2743) implies:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2744)  all_56_13 = e3
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2740), (2744) imply:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2745)  e3 = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2729), (2745) imply:
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2746)  all_56_1 = e0
% 175.09/26.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (45),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (126), (128), (157), (158), (159), (160),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (162), (163), (164), (165), (167), (169), (193),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (195), (198), (199), (200), (206), (207), (208),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (211), (213), (214), (215), (218),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (221), (223), (224), (225), (227), (228),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (230), (231), (233), (234), (235), (236),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (245), (254), (265), (273), (276), (283), (284),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (329), (362), (367), (369), (371), (373), (386),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (389), (390), (392), (1889), (1890),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1891), (1892), (1893), (2627), (2628), (2629),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2630), (2632), (2650), (2651), (2652), (2653),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2682), (2685), (2686), (2691), (2692), (2697),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2746), (function-axioms) are inconsistent by
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #997.
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2747)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (389), (2706), (2707), (2731), (2747),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #995.
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2748)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2748) implies:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2749)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0)
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2749) gives:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2750)  all_56_9 = e0 & op(e3, e0) = e0
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2710), (2750) are inconsistent by sub-proof
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1574.
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2751)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (2630), (2697), (2751),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1183.
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2752)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (169), (2710), (2718), (2752),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1400.
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2753)  all_56_9 = e0 & op(e3, e0) = e0
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2753) implies:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2754)  all_56_9 = e0
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2710), (2754) are inconsistent by sub-proof
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1570.
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2755)  all_56_10 = e2 & op(e2, e0) = e2
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2755) implies:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2756)  all_56_10 = e2
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2697), (2756) imply:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2757)  e2 = e1
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2685), (2757) imply:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2758)  all_56_6 = e1
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (1893), (2700), (2706),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | |            (2758), (function-axioms) are inconsistent by
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #994.
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | |   (2759)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (2682), (2759),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | |            #1200.
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | |   (2760)  all_56_3 = e3 & op(e2, e2) = e3
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2760) implies:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | |   (2761)  op(e2, e2) = e3
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | |   (2762)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2762) gives:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |   (2763)  all_56_0 = e3 & op(e3, e3) = e3
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2763) implies:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |   (2764)  op(e3, e3) = e3
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1893), (2764), (function-axioms) are
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |   (2765)  all_56_2 = e3 & op(e2, e3) = e3
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2765) implies:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |   (2766)  op(e2, e3) = e3
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | |   (2767)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2767) gives:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2768)  all_56_2 = e0 & op(e2, e3) = e0
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2768) implies:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2769)  op(e2, e3) = e0
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2766), (2769), (function-axioms) are
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1596.
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2770)  all_56_3 = e0 & op(e2, e2) = e0
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2770) implies:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2771)  op(e2, e2) = e0
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2761), (2771), (function-axioms) are
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | |   (2772)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (2629), (2697), (2772),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | |            #1140.
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | |   (2773)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2773) gives:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |   (2774)  all_56_6 = e3 & op(e1, e3) = e3
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2774) implies:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |   (2775)  all_56_6 = e3
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (36), (39), (45), (73), (126),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            (128), (157), (158), (159), (160), (162), (163),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (169), (193), (195), (198),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            (199), (200), (207), (208), (210), (213), (215),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            (218), (224), (225), (228), (229), (230), (233),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (245), (254), (265), (273), (276),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            (283), (284), (329), (362), (367), (369), (371),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            (373), (386), (387), (389), (390), (392), (1889),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            (1891), (1892), (1893), (2627), (2628), (2629),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            (2630), (2632), (2650), (2651), (2652), (2653),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            (2775), (function-axioms) are inconsistent by
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1022.
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |   (2776)  all_56_12 = e3 & op(e0, e3) = e3
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2776) implies:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |   (2777)  all_56_12 = e3
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |   (2778)  op(e0, e3) = e3
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (159),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            (162), (163), (169), (206), (207), (209), (211),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            (213), (214), (215), (218), (220), (223), (225),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            (227), (229), (230), (231), (234), (236), (386),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            (387), (389), (1890), (1893), (2628), (2632),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            (2653), (2682), (2685), (2686), (2691), (2697),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            (2761), (2777), (2778), (function-axioms) are
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1001.
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | |   (2779)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2779) gives:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | |   (2780)  all_56_5 = e3 & op(e2, e1) = e3
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2780) implies:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | |   (2781)  op(e2, e1) = e3
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | |   (2782)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (1892), (2781), (2782),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | |            #1041.
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | |   (2783)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2783) gives:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |   (2784)  all_56_8 = e1 & op(e1, e1) = e1
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2784) implies:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |   (2785)  op(e1, e1) = e1
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (213), (215),
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            (2628), (2682), (2691), (2785), (function-axioms)
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1005.
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |   (2786)  all_56_14 = e1 & op(e0, e1) = e1
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2786) implies:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | |   (2787)  all_56_14 = e1
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | |   (2788)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2788) gives:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2789)  all_56_9 = e2 & op(e3, e0) = e2
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2789) implies:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2790)  all_56_9 = e2
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2791)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2791) gives:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2792)  all_56_4 = e2 & op(e3, e1) = e2
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2792) implies:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2793)  all_56_4 = e2
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2794)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2794) gives:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2795)  all_56_2 = e0 & op(e2, e3) = e0
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2795) implies:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2796)  op(e2, e3) = e0
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2797)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2797) gives:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2798)  all_56_0 = e0 & op(e3, e3) = e0
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2798) implies:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2799)  op(e3, e3) = e0
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (2799), (function-axioms) are
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2800)  all_56_1 = e0 & op(e3, e2) = e0
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2800) implies:
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2801)  all_56_1 = e0
% 175.09/26.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (45),
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (126), (128), (157), (158), (159), (160),
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (162), (163), (164), (165), (167), (169), (193),
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (195), (198), (199), (200), (206), (207), (208),
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (211), (213), (214), (215), (218),
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (223), (224), (225), (227), (228), (229),
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (231), (233), (234), (235), (236), (245),
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (254), (265), (273), (276), (283), (284), (329),
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (362), (367), (369), (371), (373), (386), (387),
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (389), (390), (392), (1889), (1890), (1891),
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1892), (1893), (2627), (2628), (2629), (2630),
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2632), (2650), (2651), (2652), (2653), (2682),
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2685), (2686), (2691), (2692), (2697), (2796),
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2801), (function-axioms) are inconsistent by
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #998.
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2802)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2802) gives:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2803)  all_56_4 = e0 & op(e3, e1) = e0
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2803) implies:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2804)  all_56_4 = e0
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2793), (2804) are inconsistent by sub-proof
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1394.
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2805)  all_56_9 = e0 & op(e3, e0) = e0
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2790), (2805) are inconsistent by sub-proof
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1574.
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2806)  all_56_3 = e0 & op(e2, e2) = e0
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2806) implies:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2807)  op(e2, e2) = e0
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (392), (2807), (function-axioms) are
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1623.
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2808)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2808) gives:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2809)  all_56_5 = e0 & op(e2, e1) = e0
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2629), (2809), (function-axioms) are
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1476.
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2810)  all_56_10 = e0 & op(e2, e0) = e0
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2697), (2810) are inconsistent by sub-proof
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1409.
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2811)  all_56_5 = e2 & op(e2, e1) = e2
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2811) implies:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2812)  op(e2, e1) = e2
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2781), (2812), (function-axioms) are
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1297.
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2813)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2813) gives:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2814)  all_56_8 = e2 & op(e1, e1) = e2
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2814) implies:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2815)  op(e1, e1) = e2
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (2628), (2685), (2815), (function-axioms)
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1161.
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2816)  all_56_14 = e2 & op(e0, e1) = e2
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2816) implies:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2817)  all_56_14 = e2
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2787), (2817) imply:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2818)  e2 = e1
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2790), (2818) imply:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2819)  all_56_9 = e1
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (1893), (2819),
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1103.
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2820)  all_56_10 = e2 & op(e2, e0) = e2
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2697), (2820) are inconsistent by sub-proof
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1002.
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | |   (2821)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (2682), (2821),
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | |            #1200.
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | |   (2822)  all_56_10 = e3 & op(e2, e0) = e3
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2697), (2822) are inconsistent by sub-proof
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | |            #1141.
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | |   (2823)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 175.09/26.32  | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (387), (2682), (2823),
% 175.09/26.32  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.32  | | | | | | | | | | | | | | | | | | |            #1110.
% 175.09/26.32  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | |   (2824)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 175.09/26.32  | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 175.09/26.32  | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (2632), (2682), (2824),
% 175.09/26.32  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.32  | | | | | | | | | | | | | | | | |            #1017.
% 175.09/26.32  | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | |   (2825)  all_56_7 = e2 & op(e1, e2) = e2
% 175.09/26.32  | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | ALPHA: (2825) implies:
% 175.09/26.32  | | | | | | | | | | | | | | | |   (2826)  all_56_7 = e2
% 175.09/26.32  | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (163), (214), (1890), (2632),
% 175.09/26.32  | | | | | | | | | | | | | | | |            (2682), (2826), (function-axioms) are inconsistent
% 175.09/26.32  | | | | | | | | | | | | | | | |            by sub-proof #1016.
% 175.09/26.32  | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | |   (2827)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 175.09/26.32  | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 175.09/26.32  | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (2632), (2682), (2827),
% 175.09/26.32  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.32  | | | | | | | | | | | | | | |            #1156.
% 175.09/26.32  | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | |   (2828)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 175.09/26.32  | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | BETA: splitting (2828) gives:
% 175.09/26.32  | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | Case 1:
% 175.09/26.32  | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | |   (2829)  all_54_8 = e2
% 175.09/26.32  | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | COMBINE_EQS: (2640), (2829) imply:
% 175.09/26.32  | | | | | | | | | | | | |   (2830)  all_18_1 = e2
% 175.09/26.32  | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | REDUCE: (2637), (2830) imply:
% 175.09/26.32  | | | | | | | | | | | | |   (2831)  $false
% 175.09/26.32  | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | CLOSE: (2831) is inconsistent.
% 175.09/26.32  | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | |   (2832)  all_54_8 = e1 | all_54_8 = e0
% 175.09/26.32  | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | REF_CLOSE: (274), (1890), (2627), (2832) are inconsistent by
% 175.09/26.32  | | | | | | | | | | | | |            sub-proof #1079.
% 175.09/26.32  | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | | 
% 175.09/26.32  | | | | | | | | End of split
% 175.09/26.32  | | | | | | | | 
% 175.09/26.32  | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | 
% 175.09/26.32  | | | | | | | |   (2833)  all_16_2 = e3
% 175.09/26.32  | | | | | | | | 
% 175.09/26.32  | | | | | | | | COMBINE_EQS: (338), (2833) imply:
% 175.09/26.32  | | | | | | | |   (2834)  all_14_2 = e3
% 175.09/26.32  | | | | | | | | 
% 175.09/26.32  | | | | | | | | SIMP: (2834) implies:
% 175.09/26.32  | | | | | | | |   (2835)  all_14_2 = e3
% 175.09/26.32  | | | | | | | | 
% 175.09/26.32  | | | | | | | | COMBINE_EQS: (337), (2835) imply:
% 175.09/26.32  | | | | | | | |   (2836)  all_24_2 = e3
% 175.09/26.32  | | | | | | | | 
% 175.09/26.32  | | | | | | | | REDUCE: (363), (2835) imply:
% 175.09/26.32  | | | | | | | |   (2837)   ~ (all_52_2 = e3)
% 175.09/26.32  | | | | | | | | 
% 175.09/26.32  | | | | | | | | REDUCE: (374), (2835) imply:
% 175.09/26.32  | | | | | | | |   (2838)   ~ (all_52_6 = e3)
% 175.09/26.32  | | | | | | | | 
% 175.09/26.32  | | | | | | | | REDUCE: (376), (2835) imply:
% 175.09/26.32  | | | | | | | |   (2839)   ~ (all_52_8 = e3)
% 175.09/26.32  | | | | | | | | 
% 175.09/26.32  | | | | | | | | REDUCE: (377), (2835) imply:
% 175.09/26.32  | | | | | | | |   (2840)   ~ (all_52_9 = e3)
% 175.09/26.32  | | | | | | | | 
% 175.09/26.32  | | | | | | | | REDUCE: (379), (2835) imply:
% 175.09/26.32  | | | | | | | |   (2841)   ~ (all_52_11 = e3)
% 175.09/26.32  | | | | | | | | 
% 175.09/26.32  | | | | | | | | REDUCE: (381), (2835) imply:
% 175.09/26.32  | | | | | | | |   (2842)   ~ (all_52_14 = e3)
% 175.09/26.32  | | | | | | | | 
% 175.09/26.32  | | | | | | | | REDUCE: (51), (2835) imply:
% 175.09/26.32  | | | | | | | |   (2843)  op(e1, e1) = e3
% 175.09/26.32  | | | | | | | | 
% 175.09/26.32  | | | | | | | | BETA: splitting (238) gives:
% 175.09/26.32  | | | | | | | | 
% 175.09/26.32  | | | | | | | | Case 1:
% 175.09/26.32  | | | | | | | | | 
% 175.09/26.32  | | | | | | | | |   (2844)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0
% 175.09/26.32  | | | | | | | | |             & op(e2, e2) = e0)
% 175.09/26.32  | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | REF_CLOSE: (36), (45), (386), (392), (2844), (function-axioms)
% 175.09/26.32  | | | | | | | | |            are inconsistent by sub-proof #1622.
% 175.09/26.32  | | | | | | | | | 
% 175.09/26.32  | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | 
% 175.09/26.32  | | | | | | | | |   (2845)  (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 175.09/26.32  | | | | | | | | |             all_57_31 & $i(all_57_31))
% 175.09/26.32  | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | BETA: splitting (2845) gives:
% 175.09/26.32  | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | Case 1:
% 175.09/26.32  | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | |   (2846)  all_57_30 = e0 & op(e1, e1) = e0
% 175.09/26.32  | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | ALPHA: (2846) implies:
% 175.09/26.32  | | | | | | | | | |   (2847)  op(e1, e1) = e0
% 175.09/26.32  | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | REF_CLOSE: (7), (2843), (2847), (function-axioms) are
% 175.09/26.32  | | | | | | | | | |            inconsistent by sub-proof #1252.
% 175.09/26.32  | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | |   (2848)  op(e0, e0) = all_57_31 & $i(all_57_31)
% 175.09/26.32  | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | ALPHA: (2848) implies:
% 175.09/26.32  | | | | | | | | | |   (2849)  op(e0, e0) = all_57_31
% 175.09/26.32  | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 175.09/26.32  | | | | | | | | | |              all_57_31, e0, e0, simplifying with (39), (2849)
% 175.09/26.32  | | | | | | | | | |              gives:
% 175.09/26.32  | | | | | | | | | |   (2850)  all_57_31 = all_6_2
% 175.09/26.32  | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | BETA: splitting (58) gives:
% 175.09/26.32  | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | Case 1:
% 175.09/26.32  | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | |   (2851)   ~ (all_18_2 = e1)
% 175.09/26.32  | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | REDUCE: (342), (2851) imply:
% 175.09/26.32  | | | | | | | | | | |   (2852)   ~ (all_4_2 = e1)
% 175.09/26.32  | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | BETA: splitting (67) gives:
% 175.09/26.32  | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | Case 1:
% 175.09/26.32  | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | |   (2853)   ~ (all_24_2 = e3)
% 175.09/26.32  | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | REDUCE: (2836), (2853) imply:
% 175.09/26.32  | | | | | | | | | | | |   (2854)  $false
% 175.09/26.32  | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | CLOSE: (2854) is inconsistent.
% 175.09/26.32  | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | |   (2855)  ( ~ (all_24_0 = e2) & op(e3, e3) = all_24_0 &
% 175.09/26.32  | | | | | | | | | | | |             $i(all_24_0)) | ( ~ (all_24_1 = e0) & op(e3, e1)
% 175.09/26.32  | | | | | | | | | | | |             = all_24_1 & $i(all_24_1))
% 175.09/26.32  | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | BETA: splitting (73) gives:
% 175.09/26.32  | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | Case 1:
% 175.09/26.32  | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | |   (2856)   ~ (all_28_2 = e1)
% 175.09/26.32  | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | REDUCE: (329), (2856) imply:
% 175.09/26.32  | | | | | | | | | | | | |   (2857)   ~ (all_10_2 = e1)
% 175.09/26.32  | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | BETA: splitting (244) gives:
% 175.09/26.32  | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | Case 1:
% 175.09/26.32  | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | |   (2858)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 175.09/26.32  | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 175.09/26.32  | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (199), (283), (390), (392), (2852),
% 175.09/26.32  | | | | | | | | | | | | | |            (2857), (2858), (function-axioms) are inconsistent
% 175.09/26.32  | | | | | | | | | | | | | |            by sub-proof #1269.
% 175.09/26.32  | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | |   (2859)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 175.09/26.32  | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 175.09/26.32  | | | | | | | | | | | | | |             op(e2, e1) = all_57_20 & $i(all_57_20))
% 175.09/26.32  | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | BETA: splitting (2859) gives:
% 175.09/26.32  | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | Case 1:
% 175.09/26.32  | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | |   (2860)  all_57_30 = e1 & op(e1, e1) = e1
% 175.09/26.32  | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | ALPHA: (2860) implies:
% 175.09/26.32  | | | | | | | | | | | | | | |   (2861)  op(e1, e1) = e1
% 175.09/26.32  | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | REF_CLOSE: (8), (2843), (2861), (function-axioms) are
% 175.09/26.32  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 175.09/26.32  | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | |   (2862)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 175.09/26.32  | | | | | | | | | | | | | | |             (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 175.09/26.32  | | | | | | | | | | | | | | |             $i(all_57_20))
% 175.09/26.32  | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | BETA: splitting (2862) gives:
% 175.09/26.32  | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | Case 1:
% 175.09/26.32  | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | |   (2863)  all_57_31 = e1 & op(e0, e0) = e1
% 175.09/26.32  | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | ALPHA: (2863) implies:
% 175.09/26.32  | | | | | | | | | | | | | | | |   (2864)  op(e0, e0) = e1
% 175.09/26.32  | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (2864), (function-axioms) are
% 175.09/26.32  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 175.09/26.32  | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | Case 2:
% 175.09/26.32  | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | |   (2865)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 175.09/26.32  | | | | | | | | | | | | | | | |           $i(all_57_20)
% 175.09/26.32  | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | ALPHA: (2865) implies:
% 175.09/26.32  | | | | | | | | | | | | | | | |   (2866)   ~ (all_57_20 = e2)
% 175.09/26.32  | | | | | | | | | | | | | | | |   (2867)  op(e2, e1) = all_57_20
% 175.09/26.32  | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 175.09/26.32  | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.32  | | | | | | | | | | | | | | | | | 
% 175.09/26.32  | | | | | | | | | | | | | | | | |   (2868)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 175.09/26.32  | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 175.09/26.32  | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (199), (283), (390), (392), (2852),
% 175.09/26.33  | | | | | | | | | | | | | | | | |            (2857), (2868), (function-axioms) are inconsistent
% 175.09/26.33  | | | | | | | | | | | | | | | | |            by sub-proof #1269.
% 175.09/26.33  | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.33  | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | |   (2869)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 175.09/26.33  | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 175.09/26.33  | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & $i(all_57_17))
% 175.09/26.33  | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | BETA: splitting (2869) gives:
% 175.09/26.33  | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | |   (2870)  all_57_30 = e1 & op(e1, e1) = e1
% 175.09/26.33  | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | ALPHA: (2870) implies:
% 175.09/26.33  | | | | | | | | | | | | | | | | | |   (2871)  op(e1, e1) = e1
% 175.09/26.33  | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2843), (2871), (function-axioms) are
% 175.09/26.33  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 175.09/26.33  | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | |   (2872)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 175.09/26.33  | | | | | | | | | | | | | | | | | |             (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 175.09/26.33  | | | | | | | | | | | | | | | | | |             $i(all_57_17))
% 175.09/26.33  | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | BETA: splitting (2872) gives:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | |   (2873)  all_57_31 = e1 & op(e0, e0) = e1
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | ALPHA: (2873) implies:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | |   (2874)  op(e0, e0) = e1
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (2874), (function-axioms) are
% 175.09/26.33  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | |   (2875)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 175.09/26.33  | | | | | | | | | | | | | | | | | | |           $i(all_57_17)
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | ALPHA: (2875) implies:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | |   (2876)   ~ (all_57_17 = e3)
% 175.09/26.33  | | | | | | | | | | | | | | | | | | |   (2877)  op(e3, e1) = all_57_17
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | |   (2878)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (199), (283), (390), (392), (2852),
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | |            (2857), (2878), (function-axioms) are inconsistent
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | |            by sub-proof #1269.
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | |   (2879)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_30 & $i(all_57_30))
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2879) gives:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | |   (2880)  all_57_30 = e1 & op(e1, e1) = e1
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2880) implies:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | |   (2881)  op(e1, e1) = e1
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2843), (2881), (function-axioms) are
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | |   (2882)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_30))
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2882) gives:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | |   (2883)  all_57_31 = e1 & op(e0, e0) = e1
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2883) implies:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | |   (2884)  op(e0, e0) = e1
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (2884), (function-axioms) are
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | |   (2885)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2885) implies:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | |   (2886)   ~ (all_57_30 = e1)
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | |   (2887)  op(e1, e1) = all_57_30
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | |   (2888)  all_54_5 = e3
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (2888) imply:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | |   (2889)  all_10_2 = e3
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (2889) imply:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | |   (2890)  $false
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2890) is inconsistent.
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | |   (2891)   ~ (all_54_5 = e3)
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | |   (2892)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2892) gives:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | |   (2893)  all_54_5 = e2
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (2893) imply:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | |   (2894)  all_10_2 = e2
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (2894) imply:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | |   (2895)   ~ (all_52_4 = e2)
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (2894) imply:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | |   (2896)   ~ (all_52_6 = e2)
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (2894) imply:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | |   (2897)   ~ (all_52_7 = e2)
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (2894) imply:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | |   (2898)   ~ (all_52_13 = e2)
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (2894) imply:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | |   (2899)   ~ (e3 = e2)
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (2894) imply:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | |   (2900)  op(e2, e2) = e2
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (2901)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (2852), (2900), (2901),
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | |            #1267.
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (2902)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = all_57_27 & $i(all_57_27))
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2902) gives:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.09/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2903)  all_57_30 = e1 & op(e1, e1) = e1
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2903) implies:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2904)  op(e1, e1) = e1
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2886), (2887), (2904), (function-axioms) are
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2905)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_27))
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2905) gives:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2906)  all_57_31 = e1 & op(e0, e0) = e1
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2906) implies:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2907)  op(e0, e0) = e1
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (2907), (function-axioms) are
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2908)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_27)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2908) implies:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2909)  op(e0, e1) = all_57_27
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (157), (2909)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2910)  all_57_27 = all_52_11
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30, e1, e1, simplifying with (2843), (2887)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2911)  all_57_30 = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (165), (2867)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2912)  all_57_20 = all_52_9
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17, e1, e3, simplifying with (169), (2877)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2913)  all_57_17 = all_52_8
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2866), (2912) imply:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2914)   ~ (all_52_9 = e2)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2915)   ~ (all_30_2 = e2)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (2915) imply:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2916)   ~ (all_4_2 = e2)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2917)  all_54_0 = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (2917) imply:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2918)  all_4_2 = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (2918) imply:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2919)   ~ (all_52_4 = e3)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2918) imply:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2920)  op(e3, e3) = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2921)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2921) gives:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2922)  all_56_2 = e3 & op(e2, e3) = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (158),
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (209), (229), (231), (233),
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (387), (389), (2897), (2920), (2922),
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #991.
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2923)  all_56_3 = e3 & op(e2, e2) = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2923) implies:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2924)  op(e2, e2) = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2900), (2924), (function-axioms) are
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2925)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2925) gives:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2926)  all_56_5 = e3 & op(e2, e1) = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2926) implies:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2927)  op(e2, e1) = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2840), (2927), (function-axioms) are
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2928)  all_56_10 = e3 & op(e2, e0) = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2928) implies:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2929)  all_56_10 = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2930)  op(e2, e0) = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2931)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2931) gives:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2932)  all_56_0 = e3 & op(e3, e3) = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2932) implies:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2933)  all_56_0 = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2934)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (2900), (2919), (2934),
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1601.
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2935)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2935) gives:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2936)  all_56_7 = e3 & op(e1, e2) = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2838), (2936), (function-axioms) are
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #990.
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2937)  all_56_13 = e3 & op(e0, e2) = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2937) implies:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2938)  all_56_13 = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, e2, simplifying with (164), (2930) gives:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2939)  all_52_13 = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (2939) imply:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2940)   ~ (all_52_14 = e3)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (2939) imply:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2941)   ~ (all_6_2 = e3)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2941) implies:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2942)   ~ (all_6_2 = e3)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2943)  all_54_15 = e3
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (2942), (2943) are inconsistent by
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1608.
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2944)   ~ (all_54_15 = e3)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2945)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2945) gives:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2946)  all_54_15 = e2
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (2946) are inconsistent by sub-proof
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1607.
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2947)   ~ (all_54_15 = e2)
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2948)  all_54_15 = e1 | all_54_15 = e0
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2948) gives:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2949)  all_54_15 = e1
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (2949) are inconsistent by sub-proof
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1606.
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2950)  all_54_15 = e0
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (2950) imply:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2951)  all_6_2 = e0
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2951) implies:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2952)  all_6_2 = e0
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2850), (2952) imply:
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2953)  all_57_31 = e0
% 175.92/26.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (2952) imply:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2954)   ~ (all_52_11 = e0)
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (2952) imply:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2955)   ~ (all_52_12 = e0)
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (2952) imply:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2956)   ~ (all_52_14 = e0)
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2942), (2952) imply:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2957)   ~ (e3 = e0)
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (2952) imply:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2958)   ~ (e2 = e0)
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (2952) imply:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2959)   ~ (e1 = e0)
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2960)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2960) gives:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2961)  all_56_4 = e2 & op(e3, e1) = e2
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2961) implies:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2962)  all_56_4 = e2
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (79),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (110), (112), (113), (117), (118), (120), (121),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (125), (126), (128), (133), (134), (135),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (140), (141), (143), (144), (145), (146),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (148), (149), (157), (158), (159), (160), (162),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (164), (165), (167), (168), (169), (170),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (189), (190), (191), (193), (195), (196), (197),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (198), (200), (202), (203), (204), (206), (207),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (209), (210), (211), (212), (213), (214),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (216), (217), (218), (220), (221), (222),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (225), (226), (227), (228), (229),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (231), (232), (233), (234), (235), (236),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (241), (243), (244), (254), (261), (262),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (263), (265), (273), (274), (275), (276), (284),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (286), (287), (294), (344), (351), (353), (357),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (361), (375), (382), (383), (384), (385), (386),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (389), (2839), (2842), (2843), (2850),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2852), (2867), (2877), (2886), (2887), (2895),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2896), (2897), (2898), (2900), (2909), (2912),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2914), (2920), (2929), (2938), (2953), (2954),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2955), (2956), (2962), (function-axioms) are
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #871.
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2963)  all_56_5 = e2 & op(e2, e1) = e2
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2963) implies:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2964)  op(e2, e1) = e2
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2867), (2914), (2964), (function-axioms)
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1327.
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2965)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2965) gives:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2966)  all_56_8 = e2 & op(e1, e1) = e2
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2966) implies:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2967)  op(e1, e1) = e2
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (79),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (110), (112), (113), (117), (118), (120), (121),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (125), (126), (128), (133), (134), (135),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (140), (141), (143), (144), (145), (146),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (148), (149), (157), (158), (159), (160), (162),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (164), (165), (167), (168), (169), (170),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (189), (190), (191), (193), (195), (196), (197),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (198), (200), (202), (203), (204), (206), (207),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (209), (210), (211), (212), (213), (214),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (216), (217), (218), (220), (223), (224),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (225), (227), (228), (229), (230), (231), (232),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (234), (235), (236), (239), (241), (243),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (244), (254), (261), (262), (263), (265), (273),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (274), (275), (276), (284), (286), (287), (294),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (344), (351), (353), (357), (361), (375), (382),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (383), (384), (385), (386), (387), (389), (2850),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2852), (2877), (2886), (2887), (2896), (2897),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2898), (2900), (2967), (function-axioms) are
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #884.
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2968)  all_56_14 = e2 & op(e0, e1) = e2
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2968) implies:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2969)  all_56_14 = e2
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2970)  op(e0, e1) = e2
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2971)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2971) gives:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2972)  all_56_12 = e1 & op(e0, e3) = e1
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2972) implies:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2973)  all_56_12 = e1
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2974)  op(e0, e3) = e1
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2975)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (224),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2900), (2920), (2929), (2975), (function-axioms)
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #879.
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2976)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2976) gives:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2977)  all_56_6 = e2 & op(e1, e3) = e2
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2977) implies:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2978)  all_56_6 = e2
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2979)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2979) gives:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2980)  all_56_0 = e0 & op(e3, e3) = e0
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2980) implies:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2981)  op(e3, e3) = e0
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (2981), (function-axioms) are
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2982)  all_56_2 = e0 & op(e2, e3) = e0
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2982) implies:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2983)  all_56_2 = e0
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2984)  op(e2, e3) = e0
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2985)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (2900), (2983), (2985),
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1404.
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2986)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2986) gives:
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 175.92/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2987)  all_56_5 = e1 & op(e2, e1) = e1
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2987) implies:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2988)  all_56_5 = e1
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2989)  op(e2, e1) = e1
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2990)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2990) gives:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2991)  all_56_6 = e0 & op(e1, e3) = e0
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2978), (2991) are inconsistent by sub-proof
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1455.
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2992)  all_56_7 = e0 & op(e1, e2) = e0
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2992) implies:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2993)  all_56_7 = e0
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2994)  op(e1, e2) = e0
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2995)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2995) gives:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2996)  all_56_1 = e1 & op(e3, e2) = e1
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2996) implies:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2997)  all_56_1 = e1
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2998)  op(e3, e2) = e1
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2999)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (2997), (2999),
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1580.
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3000)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3000) gives:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3001)  all_56_4 = e0 & op(e3, e1) = e0
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3001) implies:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3002)  all_56_4 = e0
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3003)  op(e3, e1) = e0
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3004)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3004) gives:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3005)  all_56_0 = e2 & op(e3, e3) = e2
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3005) implies:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3006)  op(e3, e3) = e2
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2920), (3006), (function-axioms) are
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1594.
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3007)  all_56_1 = e2 & op(e3, e2) = e2
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3007) implies:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3008)  op(e3, e2) = e2
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2998), (3008), (function-axioms) are
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1424.
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3009)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3009) gives:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3010)  all_56_4 = e2 & op(e3, e1) = e2
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3010) implies:
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3011)  all_56_4 = e2
% 176.16/26.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (79),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (110), (112), (113), (117), (118), (120), (121),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (125), (126), (128), (133), (134), (135),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (140), (141), (143), (144), (145), (146),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (148), (149), (157), (158), (159), (160), (162),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (164), (165), (167), (168), (169), (170),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (189), (190), (191), (193), (195), (196), (197),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (198), (200), (202), (203), (204), (206), (207),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (209), (210), (211), (212), (213), (214),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (216), (217), (218), (220), (221), (222),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (225), (226), (227), (228), (229),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (231), (232), (233), (234), (235), (236),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (239), (241), (243), (244), (254), (261), (262),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (263), (265), (273), (274), (275), (276), (284),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (286), (287), (294), (344), (351), (353), (357),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (361), (375), (382), (383), (384), (385), (386),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (389), (2839), (2842), (2843), (2850),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2852), (2867), (2877), (2886), (2887), (2895),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2896), (2897), (2898), (2900), (2909), (2912),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2914), (2920), (2929), (2938), (2953), (2954),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2955), (2956), (3011), (function-axioms) are
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #871.
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3012)  all_56_9 = e2 & op(e3, e0) = e2
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3012) implies:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3013)  op(e3, e0) = e2
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3014)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3014) gives:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3015)  all_56_9 = e1 & op(e3, e0) = e1
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3015) implies:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3016)  all_56_9 = e1
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (170), (234), (2895), (2920),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3002), (3016), (function-axioms) are inconsistent
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #869.
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3017)  all_56_10 = e1 & op(e2, e0) = e1
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3017) implies:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3018)  all_56_10 = e1
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (159), (235), (2929), (2933),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2974), (2978), (2983), (3018), (function-axioms)
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #865.
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3019)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3019) gives:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3020)  all_56_11 = e1 & op(e1, e0) = e1
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3020) implies:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3021)  op(e1, e0) = e1
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, e0, simplifying with (157), (2970) gives:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3022)  all_52_11 = e2
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (2974) gives:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3023)  all_52_3 = e1
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e1, simplifying with (160), (3021) gives:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3024)  all_52_14 = e1
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (2994) gives:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3025)  all_52_6 = e0
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (2989) gives:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3026)  all_52_9 = e1
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (2984) gives:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3027)  all_52_1 = e0
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e3, simplifying with (168), (3013) gives:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3028)  all_52_12 = e2
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (3003) gives:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3029)  all_52_8 = e0
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2842), (3024) imply:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3030)   ~ (e3 = e1)
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3031)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3031) gives:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3032)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (2839), (2984), (3032),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1262.
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3033)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3033) gives:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3034)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_17) =
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3034) implies:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3035)  op(e0, e3) = e3
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (2974), (3035), (function-axioms) are
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1529.
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3036)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) =
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3036) implies:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3037)  op(e2, e3) = e2
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (221), (2900), (2929), (2988),
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3037), (function-axioms) are inconsistent by
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #881.
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3038)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3038) gives:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3039)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (158), (2897), (2989), (3039),
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #864.
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3040)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3040) gives:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3041)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3041) implies:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3042)  op(e3, e1) = e1
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3003), (3042), (function-axioms) are
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1571.
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3043)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (2953), (2970), (2994), (3043),
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #860.
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3044)  all_56_15 = e1 & op(e0, e0) = e1
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3044) implies:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3045)  op(e0, e0) = e1
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (3045), (function-axioms) are
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3046)  all_56_9 = e0 & op(e3, e0) = e0
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3046) implies:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3047)  all_56_9 = e0
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (39), (164), (210), (211),
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (389), (2898), (2929), (3047),
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #873.
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3048)  all_56_3 = e1 & op(e2, e2) = e1
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3048) implies:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3049)  op(e2, e2) = e1
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2900), (3049), (function-axioms) are
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3050)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3050) gives:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3051)  all_56_7 = e1 & op(e1, e2) = e1
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3051) implies:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3052)  all_56_7 = e1
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2993), (3052) are inconsistent by sub-proof
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #888.
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3053)  all_56_13 = e1 & op(e0, e2) = e1
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3053) implies:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3054)  all_56_13 = e1
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (159), (206), (209),
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2969), (2974), (3054), (function-axioms) are
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #857.
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3055)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (2843), (2956), (3055),
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #874.
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3056)  all_56_10 = e1 & op(e2, e0) = e1
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3056) implies:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3057)  all_56_10 = e1
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2929), (3057) imply:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3058)  e3 = e1
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2933), (3058) imply:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3059)  all_56_0 = e1
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (159), (235), (2974), (2978),
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2983), (3059), (function-axioms) are inconsistent
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #866.
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3060)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3060) gives:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3061)  all_56_6 = e0 & op(e1, e3) = e0
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2978), (3061) are inconsistent by sub-proof
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1455.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3062)  all_56_12 = e0 & op(e0, e3) = e0
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3062) implies:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3063)  op(e0, e3) = e0
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2974), (3063), (function-axioms) are
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1589.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3064)  all_56_12 = e2 & op(e0, e3) = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3064) implies:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3065)  all_56_12 = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2973), (3065) are inconsistent by sub-proof
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1383.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3066)  all_56_13 = e1 & op(e0, e2) = e1
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2938), (3066) are inconsistent by sub-proof
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1460.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3067)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (2970), (3067),
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #856.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3068)  all_56_2 = e3 & op(e2, e3) = e3
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (158),
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (209), (229), (231), (233),
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (387), (389), (2897), (2920), (3068),
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #991.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3069)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3069) gives:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3070)  all_56_6 = e3 & op(e1, e3) = e3
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3070) implies:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3071)  op(e1, e3) = e3
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2837), (3071), (function-axioms) are
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #855.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3072)  all_56_12 = e3 & op(e0, e3) = e3
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3072) implies:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3073)  all_56_12 = e3
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3074)  op(e0, e3) = e3
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3075)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (224),
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2900), (2920), (2929), (3075), (function-axioms)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #879.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3076)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3076) gives:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3077)  all_56_6 = e2 & op(e1, e3) = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3077) implies:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3078)  all_56_6 = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3079)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (158), (2897), (3074), (3079),
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #854.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3080)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3080) gives:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3081)  all_56_14 = e2 & op(e0, e1) = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3081) implies:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3082)  all_56_14 = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3083)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3083) gives:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3084)  all_56_12 = e1 & op(e0, e3) = e1
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3084) implies:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3085)  op(e0, e3) = e1
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (3074), (3085), (function-axioms) are
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1529.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3086)  all_56_13 = e1 & op(e0, e2) = e1
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3086) implies:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3087)  all_56_13 = e1
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3088)  all_56_15 = e0 & op(e0, e0) = e0
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3088) implies:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3089)  op(e0, e0) = e0
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3090)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (36), (229), (386), (2920),
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3073), (3078), (3090), (function-axioms) are
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1012.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3091)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3091) gives:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3092)  all_56_6 = e1 & op(e1, e3) = e1
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3092) implies:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3093)  all_56_6 = e1
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3078), (3093) imply:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3094)  e2 = e1
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3094) implies:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3095)  e2 = e1
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3082), (3095) imply:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3096)  all_56_14 = e1
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (39), (158), (208), (389), (2897),
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3073), (3096), (function-axioms) are inconsistent
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #853.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3097)  all_56_12 = e1 & op(e0, e3) = e1
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3097) implies:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3098)  op(e0, e3) = e1
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (159), (209), (3082), (3087),
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3089), (3098), (function-axioms) are inconsistent
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #858.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3099)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3099) implies:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3100)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (3073), (3082), (3087), (3100) are
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #852.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3101)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (39), (158), (208), (387), (389),
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2897), (3073), (3101), (function-axioms) are
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #851.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3102)  all_56_15 = e2 & op(e0, e0) = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3102) implies:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3103)  op(e0, e0) = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (3103), (function-axioms) are
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3104)  all_56_12 = e2 & op(e0, e3) = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3104) implies:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3105)  op(e0, e3) = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3074), (3105), (function-axioms) are
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1039.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3106)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (2852), (2916), (3106) are
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1354.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3107)  all_30_2 = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (3107) imply:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3108)  all_4_2 = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (3108) imply:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3109)   ~ (all_52_1 = e2)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (3108) imply:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3110)   ~ (all_52_8 = e2)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (3108) imply:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3111)  op(e3, e3) = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3112)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (169),
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (232), (236), (386), (2898), (3111),
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3112), (function-axioms) are inconsistent by
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1561.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3113)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3113) gives:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3114)  all_56_11 = e2 & op(e1, e0) = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3114) implies:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3115)  all_56_11 = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3116)  op(e1, e0) = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3117)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (229),
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (235), (386), (2897), (3111), (3117),
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1543.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3118)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3118) gives:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3119)  all_56_14 = e2 & op(e0, e1) = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3119) implies:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3120)  all_56_14 = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3121)  op(e0, e1) = e2
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2855) gives:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3122)   ~ (all_24_0 = e2) & op(e3, e3) = all_24_0 &
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_24_0)
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3111), (3122), (function-axioms) are inconsistent
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #850.
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.16/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3123)   ~ (all_24_1 = e0) & op(e3, e1) = all_24_1 &
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_24_1)
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3123) implies:
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3124)   ~ (all_24_1 = e0)
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3125)  op(e3, e1) = all_24_1
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, e0, simplifying with (157), (3121) gives:
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3126)  all_52_11 = e2
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e1, simplifying with (160), (3116) gives:
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3127)  all_52_14 = e2
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_24_1, e1, e3, simplifying with (169), (3125)
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3128)  all_52_8 = all_24_1
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (3128) imply:
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3129)  all_54_2 = all_24_1
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2910), (3126) imply:
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3130)  all_57_27 = e2
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2913), (3128) imply:
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3131)  all_57_17 = all_24_1
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (3127) imply:
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3132)   ~ (all_52_2 = e2)
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (3128) imply:
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3133)   ~ (all_52_9 = all_24_1)
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3133) implies:
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3134)   ~ (all_52_9 = all_24_1)
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2839), (3128) imply:
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3135)   ~ (all_24_1 = e3)
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3110), (3128) imply:
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3136)   ~ (all_24_1 = e2)
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 176.29/26.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3137)  all_54_2 = e3
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3129), (3137) imply:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3138)  all_24_1 = e3
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3138) implies:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3139)  all_24_1 = e3
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3135), (3139) imply:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3140)  $false
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3140) is inconsistent.
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3141)   ~ (all_54_2 = e3)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3142)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3142) gives:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3143)  all_54_2 = e2
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3129), (3143) imply:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3144)  all_24_1 = e2
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3144) implies:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3145)  all_24_1 = e2
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3136), (3145) imply:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3146)  $false
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3146) is inconsistent.
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3147)   ~ (all_54_2 = e2)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3148)  all_54_2 = e1 | all_54_2 = e0
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3148) gives:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3149)  all_54_2 = e1
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3129), (3149) imply:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3150)  all_24_1 = e1
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3150) implies:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3151)  all_24_1 = e1
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3131), (3151) imply:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3152)  all_57_17 = e1
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3134), (3151) imply:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3153)   ~ (all_52_9 = e1)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3135), (3151) imply:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3154)   ~ (e3 = e1)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3136), (3151) imply:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3155)   ~ (e2 = e1)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3156)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3156) gives:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3157)  all_56_9 = e1 & op(e3, e0) = e1
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (169), (230), (236),
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (2839), (3111), (3124), (3125), (3157),
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #848.
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3158)  all_56_10 = e1 & op(e2, e0) = e1
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3158) implies:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3159)  all_56_10 = e1
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3160)  op(e2, e0) = e1
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3161)  all_54_6 = e3
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (2840), (3161) are inconsistent by
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1242.
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3162)   ~ (all_54_6 = e3)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3163)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3163) gives:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3164)  all_54_6 = e2
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (2914), (3164) are inconsistent by
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1241.
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3165)   ~ (all_54_6 = e2)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3166)  all_54_6 = e1 | all_54_6 = e0
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3166) gives:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3167)  all_54_6 = e1
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (3153), (3167) are inconsistent by
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #940.
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3168)  all_54_6 = e0
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (3168) imply:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3169)  all_52_9 = e0
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3169) implies:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3170)  all_52_9 = e0
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (3170) imply:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3171)   ~ (all_52_1 = e0)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (3170) imply:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3172)   ~ (all_52_13 = e0)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3172) implies:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3173)   ~ (all_52_13 = e0)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2914), (3170) imply:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3174)   ~ (e2 = e0)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3175)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3175) gives:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3176)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3176) gives:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3177)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17) = all_57_2 & op(e3, all_57_18) =
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3177) implies:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3178)   ~ (all_57_2 = e1)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3179)  op(e3, all_57_17) = all_57_2
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2877), (3152), (3178), (3179), (function-axioms)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #847.
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3180)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_18) =
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3180) implies:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3181)  op(e3, e1) = e3
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2839), (3181), (function-axioms) are
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3182)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (2895), (3152), (3182), (function-axioms)
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #846.
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3183)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3183) gives:
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3184)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (2867), (2897), (2914), (3184),
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1260.
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3185)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3185) gives:
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3186)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3186) implies:
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3187)   ~ (all_57_30 = e3)
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2911), (3187) imply:
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3188)  $false
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3188) is inconsistent.
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3189)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3189) gives:
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3190)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3190) implies:
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3191)  op(e2, e1) = e1
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3153), (3191), (function-axioms) are
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3192)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3192) implies:
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3193)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3193) gives:
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3194)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22) = all_57_8 & op(e1, all_57_23) =
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3130), (3194) are inconsistent by sub-proof
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #845.
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3195)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25) = all_57_12 & op(e0, all_57_26) =
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & all_57_25 = e0 & op(e3, e0) = e0) |
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0))
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3195) implies:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3196)   ~ (all_57_14 = e1)
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3197)  op(e0, e2) = all_57_26
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3198)  op(e0, e3) = all_57_25
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3199)  op(e0, all_57_27) = all_57_14
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3200)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e0 & op(e1, e0) = e0)
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3130), (3199) imply:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3201)  op(e0, e2) = all_57_14
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3202)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3202) gives:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3203)  all_56_2 = e3 & op(e2, e3) = e3
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3203) implies:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3204)  op(e2, e3) = e3
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14, e2, e0, simplifying with (158), (3201)
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3205)  all_57_14 = all_52_7
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_57_26,
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14, e2, e0, simplifying with (3197), (3201)
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3206)  all_57_14 = all_57_26
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25, e3, e0, simplifying with (159), (3198)
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3207)  all_57_25 = all_52_3
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e2, simplifying with (164), (3160) gives:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3208)  all_52_13 = e1
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (3204) gives:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3209)  all_52_1 = e3
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3205), (3206) imply:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3210)  all_57_26 = all_52_7
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3196), (3205) imply:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3211)   ~ (all_52_7 = e1)
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (3208) imply:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3212)   ~ (all_6_2 = e1)
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3213)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3213) gives:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3214)  all_56_12 = e1 & op(e0, e3) = e1
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3214) implies:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3215)  op(e0, e3) = e1
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3216)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (167), (386), (3171), (3216),
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #929.
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3217)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3217) gives:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3218)  all_56_6 = e0 & op(e1, e3) = e0
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3218) implies:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3219)  op(e1, e3) = e0
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3220)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3220) gives:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3221)  all_56_1 = e1 & op(e3, e2) = e1
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (169), (230), (236),
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (2839), (3111), (3124), (3125), (3221),
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #844.
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3222)  all_56_3 = e1 & op(e2, e2) = e1
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3222) implies:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3223)  op(e2, e2) = e1
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2900), (3223), (function-axioms) are
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3224)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3224) gives:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3225)  all_56_7 = e1 & op(e1, e2) = e1
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3225) implies:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3226)  op(e1, e2) = e1
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (3215) gives:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3227)  all_52_3 = e1
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (3226) gives:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3228)  all_52_6 = e1
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (3219) gives:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3229)  all_52_2 = e0
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (3228), (3229) imply:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3230)   ~ (e1 = e0)
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (164), (2909), (3121), (3130),
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3173), (3193), (3198), (3200), (3215),
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #842.
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3231)  all_56_13 = e1 & op(e0, e2) = e1
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3231) implies:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3232)  all_56_13 = e1
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (159), (206), (209),
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3120), (3215), (3232), (function-axioms) are
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #857.
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3233)  all_56_12 = e0 & op(e0, e3) = e0
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3233) implies:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3234)  op(e0, e3) = e0
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3215), (3234), (function-axioms) are
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1589.
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3235)  all_56_13 = e1 & op(e0, e2) = e1
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3235) implies:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3236)  op(e0, e2) = e1
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3211), (3236), (function-axioms) are
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #841.
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3237)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (3121), (3237),
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #856.
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3238)  all_56_3 = e3 & op(e2, e2) = e3
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3238) implies:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3239)  op(e2, e2) = e3
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2900), (3239), (function-axioms) are
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3240)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3240) gives:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3241)  all_56_5 = e3 & op(e2, e1) = e3
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3241) implies:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3242)  op(e2, e1) = e3
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2840), (3242), (function-axioms) are
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3243)  all_56_10 = e3 & op(e2, e0) = e3
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3159), (3243) are inconsistent by sub-proof
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1141.
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3244)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (3115), (3244),
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1139.
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3245)  all_54_2 = e0
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3129), (3245) imply:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3246)  all_24_1 = e0
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3246) implies:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3247)  all_24_1 = e0
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3124), (3247) imply:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3248)  $false
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3248) is inconsistent.
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3249)  all_56_15 = e2 & op(e0, e0) = e2
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3249) implies:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3250)  op(e0, e0) = e2
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (3250), (function-axioms) are
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3251)  all_56_15 = e2 & op(e0, e0) = e2
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3251) implies:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3252)  op(e0, e0) = e2
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (3252), (function-axioms) are
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | |   (3253)  all_54_5 = e1 | all_54_5 = e0
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (392), (2857), (3253) are inconsistent by
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1353.
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | End of split
% 176.29/26.40  | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | Case 2:
% 176.29/26.40  | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | |   (3254)  all_28_2 = e1
% 176.29/26.40  | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | COMBINE_EQS: (329), (3254) imply:
% 176.29/26.40  | | | | | | | | | | | | |   (3255)  all_10_2 = e1
% 176.29/26.40  | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | COMBINE_EQS: (313), (3255) imply:
% 176.29/26.40  | | | | | | | | | | | | |   (3256)  all_46_2 = e1
% 176.29/26.40  | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | REDUCE: (362), (3255) imply:
% 176.29/26.40  | | | | | | | | | | | | |   (3257)   ~ (all_52_1 = e1)
% 176.29/26.40  | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | REDUCE: (365), (3255) imply:
% 176.29/26.40  | | | | | | | | | | | | |   (3258)   ~ (all_52_4 = e1)
% 176.29/26.40  | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | REDUCE: (367), (3255) imply:
% 176.29/26.40  | | | | | | | | | | | | |   (3259)   ~ (all_52_6 = e1)
% 176.29/26.40  | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | REDUCE: (369), (3255) imply:
% 176.29/26.40  | | | | | | | | | | | | |   (3260)   ~ (all_52_7 = e1)
% 176.29/26.40  | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | REDUCE: (371), (3255) imply:
% 176.29/26.40  | | | | | | | | | | | | |   (3261)   ~ (all_52_9 = e1)
% 176.29/26.40  | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | REDUCE: (373), (3255) imply:
% 176.29/26.40  | | | | | | | | | | | | |   (3262)   ~ (all_52_13 = e1)
% 176.29/26.40  | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | REDUCE: (390), (3255) imply:
% 176.29/26.40  | | | | | | | | | | | | |   (3263)   ~ (e3 = e1)
% 176.29/26.40  | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | REDUCE: (45), (3255) imply:
% 176.29/26.40  | | | | | | | | | | | | |   (3264)  op(e2, e2) = e1
% 176.29/26.40  | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | BETA: splitting (100) gives:
% 176.29/26.40  | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | Case 1:
% 176.29/26.40  | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | |   (3265)   ~ (all_46_2 = e1)
% 176.29/26.40  | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | REDUCE: (3256), (3265) imply:
% 176.29/26.40  | | | | | | | | | | | | | |   (3266)  $false
% 176.29/26.40  | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | | CLOSE: (3266) is inconsistent.
% 176.29/26.40  | | | | | | | | | | | | | | 
% 176.29/26.40  | | | | | | | | | | | | | Case 2:
% 176.29/26.40  | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | |   (3267)  ( ~ (all_46_0 = e3) & op(e1, e1) = all_46_0 &
% 176.29/26.41  | | | | | | | | | | | | | |             $i(all_46_0)) | ( ~ (all_46_1 = e0) & op(e1, e2)
% 176.29/26.41  | | | | | | | | | | | | | |             = all_46_1 & $i(all_46_1))
% 176.29/26.41  | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | BETA: splitting (3267) gives:
% 176.29/26.41  | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | Case 1:
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | |   (3268)   ~ (all_46_0 = e3) & op(e1, e1) = all_46_0 &
% 176.29/26.41  | | | | | | | | | | | | | | |           $i(all_46_0)
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | ALPHA: (3268) implies:
% 176.29/26.41  | | | | | | | | | | | | | | |   (3269)   ~ (all_46_0 = e3)
% 176.29/26.41  | | | | | | | | | | | | | | |   (3270)  op(e1, e1) = all_46_0
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_46_0,
% 176.29/26.41  | | | | | | | | | | | | | | |              e1, e1, simplifying with (2843), (3270) gives:
% 176.29/26.41  | | | | | | | | | | | | | | |   (3271)  all_46_0 = e3
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | REDUCE: (3269), (3271) imply:
% 176.29/26.41  | | | | | | | | | | | | | | |   (3272)  $false
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | CLOSE: (3272) is inconsistent.
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | Case 2:
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | |   (3273)   ~ (all_46_1 = e0) & op(e1, e2) = all_46_1 &
% 176.29/26.41  | | | | | | | | | | | | | | |           $i(all_46_1)
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | ALPHA: (3273) implies:
% 176.29/26.41  | | | | | | | | | | | | | | |   (3274)   ~ (all_46_1 = e0)
% 176.29/26.41  | | | | | | | | | | | | | | |   (3275)  op(e1, e2) = all_46_1
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 176.29/26.41  | | | | | | | | | | | | | | |              all_46_1, e2, e1, simplifying with (162), (3275)
% 176.29/26.41  | | | | | | | | | | | | | | |              gives:
% 176.29/26.41  | | | | | | | | | | | | | | |   (3276)  all_52_6 = all_46_1
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | COMBINE_EQS: (273), (3276) imply:
% 176.29/26.41  | | | | | | | | | | | | | | |   (3277)  all_54_9 = all_46_1
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | REDUCE: (136), (3276) imply:
% 176.29/26.41  | | | | | | | | | | | | | | |   (3278)   ~ (all_52_4 = all_46_1)
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | REDUCE: (128), (3276) imply:
% 176.29/26.41  | | | | | | | | | | | | | | |   (3279)   ~ (all_52_7 = all_46_1)
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | SIMP: (3279) implies:
% 176.29/26.41  | | | | | | | | | | | | | | |   (3280)   ~ (all_52_7 = all_46_1)
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | REDUCE: (126), (3276) imply:
% 176.29/26.41  | | | | | | | | | | | | | | |   (3281)   ~ (all_52_14 = all_46_1)
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | SIMP: (3281) implies:
% 176.29/26.41  | | | | | | | | | | | | | | |   (3282)   ~ (all_52_14 = all_46_1)
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | REDUCE: (2838), (3276) imply:
% 176.29/26.41  | | | | | | | | | | | | | | |   (3283)   ~ (all_46_1 = e3)
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | REDUCE: (3259), (3276) imply:
% 176.29/26.41  | | | | | | | | | | | | | | |   (3284)   ~ (all_46_1 = e1)
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 176.29/26.41  | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | Case 1:
% 176.29/26.41  | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | |   (3285)  all_54_9 = e3
% 176.29/26.41  | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | REF_CLOSE: (3277), (3283), (3285) are inconsistent by
% 176.29/26.41  | | | | | | | | | | | | | | | |            sub-proof #840.
% 176.29/26.41  | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | Case 2:
% 176.29/26.41  | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | |   (3286)   ~ (all_54_9 = e3)
% 176.29/26.41  | | | | | | | | | | | | | | | |   (3287)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 176.29/26.41  | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | BETA: splitting (3287) gives:
% 176.29/26.41  | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.41  | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | |   (3288)  all_54_9 = e2
% 176.29/26.41  | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | COMBINE_EQS: (3277), (3288) imply:
% 176.29/26.41  | | | | | | | | | | | | | | | | |   (3289)  all_46_1 = e2
% 176.29/26.41  | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | SIMP: (3289) implies:
% 176.29/26.41  | | | | | | | | | | | | | | | | |   (3290)  all_46_1 = e2
% 176.29/26.41  | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | REDUCE: (3278), (3290) imply:
% 176.29/26.41  | | | | | | | | | | | | | | | | |   (3291)   ~ (all_52_4 = e2)
% 176.29/26.41  | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | REDUCE: (3280), (3290) imply:
% 176.29/26.41  | | | | | | | | | | | | | | | | |   (3292)   ~ (all_52_7 = e2)
% 176.29/26.41  | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | REDUCE: (3282), (3290) imply:
% 176.29/26.41  | | | | | | | | | | | | | | | | |   (3293)   ~ (all_52_14 = e2)
% 176.29/26.41  | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | REDUCE: (3283), (3290) imply:
% 176.29/26.41  | | | | | | | | | | | | | | | | |   (3294)   ~ (e3 = e2)
% 176.29/26.41  | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 176.29/26.41  | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | |   (3295)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 176.29/26.41  | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (3264), (3291), (3295),
% 176.29/26.41  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.29/26.41  | | | | | | | | | | | | | | | | | |            #1136.
% 176.29/26.41  | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | |   (3296)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 176.29/26.41  | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | BETA: splitting (3296) gives:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | |   (3297)  all_56_7 = e2 & op(e1, e2) = e2
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | ALPHA: (3297) implies:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | |   (3298)  all_56_7 = e2
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | |   (3299)   ~ (all_30_2 = e2)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (3299) imply:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | |   (3300)   ~ (all_4_2 = e2)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | |   (3301)  all_54_0 = e3
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (3301) imply:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | |   (3302)  all_4_2 = e3
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (3302) imply:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | |   (3303)   ~ (all_52_4 = e3)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (3302) imply:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | |   (3304)   ~ (all_52_12 = e3)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (3302) imply:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | |   (3305)  op(e3, e3) = e3
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | |   (3306)  all_54_1 = e3
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (3303), (3306) are inconsistent by
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1344.
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | |   (3307)   ~ (all_54_1 = e3)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | |   (3308)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |   (3309)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3309) gives:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |   (3310)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (170), (2839), (3303), (3310),
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |            #1343.
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |   (3311)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (170), (3291), (3304), (3311),
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | |            #839.
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |   (3312)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 176.29/26.41  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3312) gives:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |   (3313)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3264), (3292), (3313), (function-axioms)
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1027.
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |   (3314)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3314) gives:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (3315)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3315) implies:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (3316)  op(e1, e3) = e1
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3308) gives:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3317)  all_54_1 = e2
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (3317) imply:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3318)  all_52_4 = e2
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3291), (3318) imply:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3319)  $false
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3319) is inconsistent.
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3320)  all_54_1 = e1 | all_54_1 = e0
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3320) gives:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3321)  all_54_1 = e1
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (3321) imply:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3322)  all_52_4 = e1
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3258), (3322) imply:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3323)  $false
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3323) is inconsistent.
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3324)  all_54_1 = e0
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (3324) imply:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3325)  all_52_4 = e0
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (3325) imply:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3326)   ~ (all_52_7 = e0)
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3326) implies:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3327)   ~ (all_52_7 = e0)
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3328)  all_54_13 = e3
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (3328) imply:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3329)  all_52_7 = e3
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3329) implies:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3330)  all_52_7 = e3
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (3330) imply:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3331)   ~ (all_6_2 = e3)
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3331) implies:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3332)   ~ (all_6_2 = e3)
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3333)  all_54_15 = e3
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (3332), (3333) are inconsistent by
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1608.
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3334)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3334) gives:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3335)  all_54_15 = e2
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (3335) are inconsistent by sub-proof
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1607.
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3336)  all_54_15 = e1 | all_54_15 = e0
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3336) gives:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3337)  all_54_15 = e1
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (3337) are inconsistent by sub-proof
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1606.
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3338)  all_54_15 = e0
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (3338) imply:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3339)  all_6_2 = e0
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3339) implies:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3340)  all_6_2 = e0
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (3340) imply:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3341)   ~ (all_52_14 = e0)
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3342)  all_54_11 = e3
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (2842), (3342) are inconsistent by
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1336.
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3343)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3343) gives:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3344)  all_54_11 = e2
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (3293), (3344) are inconsistent by
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1115.
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3345)  all_54_11 = e1 | all_54_11 = e0
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (163), (265), (3316), (3341), (3345),
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #838.
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3346)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (3260), (3292), (3327), (3346) are
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1116.
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (3347)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3347) gives:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3348)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3348) implies:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3349)  op(e2, e1) = e1
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3261), (3349), (function-axioms) are
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3350)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.42  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3350) implies:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3351)  op(e0, e1) = all_57_27
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3352)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3353)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3353) gives:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3354)  all_56_2 = e3 & op(e2, e3) = e3
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (158),
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (209), (229), (231), (233),
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (387), (389), (3292), (3305), (3354),
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #991.
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3355)  all_56_3 = e3 & op(e2, e2) = e3
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3355) implies:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3356)  op(e2, e2) = e3
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3264), (3356), (function-axioms) are
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3357)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3357) gives:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3358)  all_56_5 = e3 & op(e2, e1) = e3
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3358) implies:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3359)  op(e2, e1) = e3
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2840), (3359), (function-axioms) are
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3360)  all_56_10 = e3 & op(e2, e0) = e3
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3360) implies:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3361)  all_56_10 = e3
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3362)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3362) gives:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3363)  all_56_9 = e2 & op(e3, e0) = e2
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3363) implies:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3364)  all_56_9 = e2
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3365)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3365) gives:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3366)  all_56_9 = e1 & op(e3, e0) = e1
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3364), (3366) are inconsistent by sub-proof
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1565.
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3367)  all_56_10 = e1 & op(e2, e0) = e1
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.29/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3367) implies:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3368)  op(e2, e0) = e1
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3262), (3368), (function-axioms) are
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1273.
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3369)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3369) gives:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3370)  all_56_11 = e1 & op(e1, e0) = e1
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3370) implies:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3371)  all_56_11 = e1
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3372)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3372) gives:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3373)  all_56_6 = e0 & op(e1, e3) = e0
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3373) implies:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3374)  op(e1, e3) = e0
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3352) gives:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3375)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22) = all_57_8 & op(e1, all_57_23) =
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3375) implies:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3376)  all_57_27 = e1
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3351), (3376) imply:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3377)  op(e0, e1) = e1
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3378)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (3257), (3305), (3378),
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1094.
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3379)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3379) gives:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3380)  all_56_6 = e1 & op(e1, e3) = e1
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3380) implies:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3381)  op(e1, e3) = e1
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3374), (3381), (function-axioms) are
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1251.
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3382)  all_56_12 = e1 & op(e0, e3) = e1
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3382) implies:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3383)  all_56_12 = e1
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3384)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3384) gives:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3385)  all_56_12 = e2 & op(e0, e3) = e2
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3385) implies:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3386)  all_56_12 = e2
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3383), (3386) imply:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3387)  e2 = e1
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3364), (3387) imply:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3388)  all_56_9 = e1
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (39), (211), (389), (3361), (3371),
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3388), (function-axioms) are inconsistent by
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #954.
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3389)  all_56_13 = e2 & op(e0, e2) = e2
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3389) implies:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3390)  op(e0, e2) = e2
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3292), (3390), (function-axioms) are
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3391)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (389), (3377), (3391),
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #837.
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3392)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25) = all_57_12 & op(e0, all_57_26) =
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & all_57_25 = e0 & op(e3, e0) = e0) |
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0))
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3392) implies:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3393)   ~ (all_57_15 = e0)
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3394)  op(e0, all_57_31) = all_57_15
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2850), (3394) imply:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3395)  op(e0, all_6_2) = all_57_15
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3308) gives:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3396)  all_54_1 = e2
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (3291), (3396) are inconsistent by
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1338.
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3397)  all_54_1 = e1 | all_54_1 = e0
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3397) gives:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3398)  all_54_1 = e1
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (3258), (3398) are inconsistent by
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1337.
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3399)  all_54_1 = e0
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (3399) imply:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3400)  all_52_4 = e0
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3400) implies:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3401)  all_52_4 = e0
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (3401) imply:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3402)   ~ (all_52_7 = e0)
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3402) implies:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3403)   ~ (all_52_7 = e0)
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3404)  all_54_13 = e3
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (3404) imply:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3405)  all_52_7 = e3
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3405) implies:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3406)  all_52_7 = e3
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (3406) imply:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3407)   ~ (all_6_2 = e3)
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3407) implies:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3408)   ~ (all_6_2 = e3)
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (189), (261), (387), (389), (3393), (3395),
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3408), (function-axioms) are inconsistent by
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1604.
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3409)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (3260), (3292), (3403), (3409) are
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1116.
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3410)  all_56_7 = e0 & op(e1, e2) = e0
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3410) implies:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3411)  op(e1, e2) = e0
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3274), (3275), (3411), (function-axioms) are
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #836.
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3412)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (2843), (3371), (3412),
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #835.
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3413)  all_56_15 = e1 & op(e0, e0) = e1
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3413) implies:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3414)  op(e0, e0) = e1
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (3414), (function-axioms) are
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3415)  all_56_10 = e2 & op(e2, e0) = e2
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3361), (3415) are inconsistent by sub-proof
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1502.
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3416)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 176.53/26.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (39), (162), (213),
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (389), (2843), (3259), (3274), (3275),
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3416), (function-axioms) are inconsistent by
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #832.
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | |   (3417)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (2852), (3300), (3417) are
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1354.
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | |   (3418)  all_30_2 = e2
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | |   (3419)  ( ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 &
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | |             $i(all_30_0)) | ( ~ (all_30_1 = e0) & op(e2, e3)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | |             = all_30_1 & $i(all_30_1))
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (3418) imply:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | |   (3420)  all_4_2 = e2
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | SIMP: (3420) implies:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | |   (3421)  all_4_2 = e2
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (3421) imply:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | |   (3422)  op(e3, e3) = e2
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | BETA: splitting (3419) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | |   (3423)   ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 &
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | |           $i(all_30_0)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3264), (3423), (function-axioms) are inconsistent
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1292.
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | |   (3424)   ~ (all_30_1 = e0) & op(e2, e3) = all_30_1 &
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | |           $i(all_30_1)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | ALPHA: (3424) implies:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | |   (3425)   ~ (all_30_1 = e0)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | |   (3426)  op(e2, e3) = all_30_1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2855) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | |   (3427)   ~ (all_24_0 = e2) & op(e3, e3) = all_24_0 &
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | |           $i(all_24_0)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3422), (3427), (function-axioms) are inconsistent
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #850.
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | |   (3428)   ~ (all_24_1 = e0) & op(e3, e1) = all_24_1 &
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | |           $i(all_24_1)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3428) implies:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | |   (3429)   ~ (all_24_1 = e0)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | |   (3430)  op(e3, e1) = all_24_1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | |   (3431)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3431) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | |   (3432)  all_56_9 = e2 & op(e3, e0) = e2
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | |            (232), (236), (386), (3422), (3432),
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | |            #1563.
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | |   (3433)  all_56_10 = e2 & op(e2, e0) = e2
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3433) implies:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | |   (3434)  all_56_10 = e2
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | |   (3435)  op(e2, e0) = e2
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | |   (3436)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3436) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3437)  all_56_2 = e3 & op(e2, e3) = e3
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3437) implies:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3438)  all_56_2 = e3
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3439)  op(e2, e3) = e3
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3440)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (3264), (3439), (3440),
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #831.
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3441)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3441) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3442)  all_56_5 = e0 & op(e2, e1) = e0
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3442) implies:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3443)  all_56_5 = e0
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3444)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3444) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3445)  all_56_12 = e2 & op(e0, e3) = e2
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3445) implies:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3446)  all_56_12 = e2
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (229), (231),
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (386), (3422), (3439), (3446),
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1547.
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3447)  all_56_13 = e2 & op(e0, e2) = e2
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3447) implies:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3448)  op(e0, e2) = e2
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3292), (3448), (function-axioms) are
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3449)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3449) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3450)  all_56_14 = e2 & op(e0, e1) = e2
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3450) implies:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3451)  all_56_14 = e2
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3452)  op(e0, e1) = e2
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3453)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3453) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3454)  all_56_12 = e1 & op(e0, e3) = e1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3454) implies:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3455)  op(e0, e3) = e1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3456)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (3439), (3456),
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1595.
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3457)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3457) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3458)  all_56_6 = e0 & op(e1, e3) = e0
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3458) implies:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3459)  all_56_6 = e0
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3460)  op(e1, e3) = e0
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3461)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (3259), (3460), (3461),
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #833.
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3462)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3462) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3463)  all_56_8 = e1 & op(e1, e1) = e1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3463) implies:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3464)  op(e1, e1) = e1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2843), (3464), (function-axioms) are
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3465)  all_56_11 = e1 & op(e1, e0) = e1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3465) implies:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3466)  all_56_11 = e1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3467)  op(e1, e0) = e1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3468)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3468) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3469)  all_56_4 = e1 & op(e3, e1) = e1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3469) implies:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3470)  op(e3, e1) = e1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, e0, simplifying with (157), (3452) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3471)  all_52_11 = e2
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (3455) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3472)  all_52_3 = e1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e1, simplifying with (160), (3467) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3473)  all_52_14 = e1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (3460) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3474)  all_52_2 = e0
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e2, simplifying with (164), (3435) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3475)  all_52_13 = e2
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (3439) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3476)  all_52_1 = e3
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_30_1, e3, e2, simplifying with (167), (3426)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3477)  all_52_1 = all_30_1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (3470) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3478)  all_52_8 = e1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_24_1, e1, e3, simplifying with (169), (3430)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3479)  all_52_8 = all_24_1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3476), (3477) imply:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3480)  all_30_1 = e3
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3478), (3479) imply:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3481)  all_24_1 = e1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3481) implies:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3482)  all_24_1 = e1
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (3475) imply:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3483)   ~ (all_52_12 = e2)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (3473) imply:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3484)   ~ (all_52_12 = e1)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (3473) imply:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3485)   ~ (all_6_2 = e1)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3293), (3473) imply:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3486)   ~ (e2 = e1)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3487)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (3264), (3487),
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1301.
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3488)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_21 & $i(all_57_21))
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3488) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3489)  all_57_30 = e0 & op(e1, e1) = e0
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3489) implies:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3490)  op(e1, e1) = e0
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2843), (3490), (function-axioms) are
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3491)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_21))
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3491) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3492)  all_57_31 = e0 & op(e0, e0) = e0
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3492) implies:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3493)  all_57_31 = e0
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2850), (3493) imply:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3494)  all_6_2 = e0
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (3494) imply:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3495)   ~ (all_52_12 = e0)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (3494) imply:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3496)   ~ (e1 = e0)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3497)  all_54_3 = e3
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (3497) imply:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3498)  all_52_12 = e3
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (3498) imply:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3499)   ~ (all_52_4 = e3)
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3500)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3500) gives:
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3501)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (170), (2839), (3499), (3501),
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1343.
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3502)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3502) gives:
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3503)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_17) =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3503) implies:
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3504)  op(e0, e3) = e3
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (3455), (3504), (function-axioms) are
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1529.
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3505)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3505) implies:
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3506)  op(e3, e2) = e2
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (3291), (3506), (function-axioms) are
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3507)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3507) gives:
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.53/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3508)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3292), (3439), (3508), (function-axioms)
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #830.
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3509)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3509) gives:
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3510)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3510) implies:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3511)  op(e1, e3) = e1
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3460), (3511), (function-axioms) are
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1251.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3512)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3512) gives:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3513)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3513) implies:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3514)  op(e2, e1) = e1
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3261), (3514), (function-axioms) are
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3515)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3515) implies:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3516)  op(e0, e1) = all_57_27
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3517)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3452), (3493), (3516), (3517),
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #861.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3518)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (3483), (3484), (3495), (3518) are
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3519)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_21)
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3519) implies:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3520)   ~ (all_57_21 = e2)
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3521)  op(e2, e0) = all_57_21
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3435), (3520), (3521), (function-axioms) are
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1388.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3522)  all_56_5 = e1 & op(e2, e1) = e1
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3522) implies:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3523)  op(e2, e1) = e1
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3261), (3523), (function-axioms) are
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3524)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (3452),
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3459), (3466), (3524), (function-axioms) are
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #822.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3525)  all_56_12 = e0 & op(e0, e3) = e0
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3525) implies:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3526)  op(e0, e3) = e0
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3455), (3526), (function-axioms) are
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1589.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3527)  all_56_13 = e1 & op(e0, e2) = e1
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3527) implies:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3528)  all_56_13 = e1
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3529)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3529) gives:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3530)  all_56_1 = e3 & op(e3, e2) = e3
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3530) implies:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3531)  all_56_1 = e3
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3532)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (3264), (3531), (3532),
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1032.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3533)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0)
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3533) gives:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3534)  all_56_7 = e0 & op(e1, e2) = e0
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3534) implies:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3535)  op(e1, e2) = e0
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3274), (3275), (3535), (function-axioms) are
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #836.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3536)  all_56_13 = e0 & op(e0, e2) = e0
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3528), (3536) are inconsistent by sub-proof
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1372.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3537)  all_56_3 = e3 & op(e2, e2) = e3
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3537) implies:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3538)  op(e2, e2) = e3
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3264), (3538), (function-axioms) are
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3539)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3539) gives:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3540)  all_56_7 = e3 & op(e1, e2) = e3
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3540) implies:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3541)  all_56_7 = e3
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3298), (3541) imply:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3542)  e3 = e2
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3542) implies:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3543)  e3 = e2
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3438), (3543) imply:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3544)  all_56_2 = e2
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (3264), (3434), (3443),
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3544), (function-axioms) are inconsistent by
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3545)  all_56_13 = e3 & op(e0, e2) = e3
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3545) implies:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3546)  all_56_13 = e3
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3528), (3546) are inconsistent by sub-proof
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1357.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3547)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (3451), (3547),
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1458.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3548)  all_56_15 = e2 & op(e0, e0) = e2
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3548) implies:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3549)  op(e0, e0) = e2
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (3549), (function-axioms) are
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3550)  all_56_10 = e0 & op(e2, e0) = e0
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3434), (3550) are inconsistent by sub-proof
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #821.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3551)  all_56_3 = e3 & op(e2, e2) = e3
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3551) implies:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3552)  op(e2, e2) = e3
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3264), (3552), (function-axioms) are
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (3553)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3553) gives:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3554)  all_56_5 = e3 & op(e2, e1) = e3
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3554) implies:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3555)  op(e2, e1) = e3
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2840), (3555), (function-axioms) are
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3556)  all_56_10 = e3 & op(e2, e0) = e3
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3556) implies:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3557)  all_56_10 = e3
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3434), (3557) are inconsistent by sub-proof
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            #958.
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | |   (3558)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (39), (162), (213),
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | |            (214), (389), (2843), (3259), (3274), (3275),
% 176.59/26.46  | | | | | | | | | | | | | | | | | | | | | | |            (3558), (function-axioms) are inconsistent by
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #832.
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | |   (3559)  all_56_13 = e2 & op(e0, e2) = e2
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | ALPHA: (3559) implies:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | |   (3560)  op(e0, e2) = e2
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3292), (3560), (function-axioms) are
% 176.59/26.47  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | End of split
% 176.59/26.47  | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47  | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | |   (3561)  all_54_9 = e1 | all_54_9 = e0
% 176.59/26.47  | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | REF_CLOSE: (3274), (3277), (3284), (3561) are inconsistent by
% 176.59/26.47  | | | | | | | | | | | | | | | | |            sub-proof #820.
% 176.59/26.47  | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | End of split
% 176.59/26.47  | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | End of split
% 176.59/26.47  | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | End of split
% 176.59/26.47  | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | End of split
% 176.59/26.47  | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | End of split
% 176.59/26.47  | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | End of split
% 176.59/26.47  | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | Case 2:
% 176.59/26.47  | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | |   (3562)  all_18_2 = e1
% 176.59/26.47  | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | COMBINE_EQS: (342), (3562) imply:
% 176.59/26.47  | | | | | | | | | | |   (3563)  all_4_2 = e1
% 176.59/26.47  | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | SIMP: (3563) implies:
% 176.59/26.47  | | | | | | | | | | |   (3564)  all_4_2 = e1
% 176.59/26.47  | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | REDUCE: (351), (3564) imply:
% 176.59/26.47  | | | | | | | | | | |   (3565)   ~ (all_52_1 = e1)
% 176.59/26.47  | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | REDUCE: (353), (3564) imply:
% 176.59/26.47  | | | | | | | | | | |   (3566)   ~ (all_52_2 = e1)
% 176.59/26.47  | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | REDUCE: (355), (3564) imply:
% 176.59/26.47  | | | | | | | | | | |   (3567)   ~ (all_52_3 = e1)
% 176.59/26.47  | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | REDUCE: (357), (3564) imply:
% 176.59/26.47  | | | | | | | | | | |   (3568)   ~ (all_52_4 = e1)
% 176.59/26.47  | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | REDUCE: (359), (3564) imply:
% 176.59/26.47  | | | | | | | | | | |   (3569)   ~ (all_52_8 = e1)
% 176.59/26.47  | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | REDUCE: (361), (3564) imply:
% 176.59/26.47  | | | | | | | | | | |   (3570)   ~ (all_52_12 = e1)
% 176.59/26.47  | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | REDUCE: (36), (3564) imply:
% 176.59/26.47  | | | | | | | | | | |   (3571)  op(e3, e3) = e1
% 176.59/26.47  | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | BETA: splitting (73) gives:
% 176.59/26.47  | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | |   (3572)   ~ (all_28_2 = e1)
% 176.59/26.47  | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | REDUCE: (329), (3572) imply:
% 176.59/26.47  | | | | | | | | | | | |   (3573)   ~ (all_10_2 = e1)
% 176.59/26.47  | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | BETA: splitting (199) gives:
% 176.59/26.47  | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | |   (3574)  all_54_5 = e3
% 176.59/26.47  | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | COMBINE_EQS: (283), (3574) imply:
% 176.59/26.47  | | | | | | | | | | | | |   (3575)  all_10_2 = e3
% 176.59/26.47  | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | REDUCE: (390), (3575) imply:
% 176.59/26.47  | | | | | | | | | | | | |   (3576)  $false
% 176.59/26.47  | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | CLOSE: (3576) is inconsistent.
% 176.59/26.47  | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | Case 2:
% 176.59/26.47  | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | |   (3577)   ~ (all_54_5 = e3)
% 176.59/26.47  | | | | | | | | | | | | |   (3578)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 176.59/26.47  | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | BETA: splitting (3578) gives:
% 176.59/26.47  | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | |   (3579)  all_54_5 = e2
% 176.59/26.47  | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | COMBINE_EQS: (283), (3579) imply:
% 176.59/26.47  | | | | | | | | | | | | | |   (3580)  all_10_2 = e2
% 176.59/26.47  | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | REDUCE: (362), (3580) imply:
% 176.59/26.47  | | | | | | | | | | | | | |   (3581)   ~ (all_52_1 = e2)
% 176.59/26.47  | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | REDUCE: (365), (3580) imply:
% 176.59/26.47  | | | | | | | | | | | | | |   (3582)   ~ (all_52_4 = e2)
% 176.59/26.47  | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | REDUCE: (367), (3580) imply:
% 176.59/26.47  | | | | | | | | | | | | | |   (3583)   ~ (all_52_6 = e2)
% 176.59/26.47  | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | REDUCE: (369), (3580) imply:
% 176.59/26.47  | | | | | | | | | | | | | |   (3584)   ~ (all_52_7 = e2)
% 176.59/26.47  | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | REDUCE: (371), (3580) imply:
% 176.59/26.47  | | | | | | | | | | | | | |   (3585)   ~ (all_52_9 = e2)
% 176.59/26.47  | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | REDUCE: (373), (3580) imply:
% 176.59/26.47  | | | | | | | | | | | | | |   (3586)   ~ (all_52_13 = e2)
% 176.59/26.47  | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | REDUCE: (390), (3580) imply:
% 176.59/26.47  | | | | | | | | | | | | | |   (3587)   ~ (e3 = e2)
% 176.59/26.47  | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | REDUCE: (45), (3580) imply:
% 176.59/26.47  | | | | | | | | | | | | | |   (3588)  op(e2, e2) = e2
% 176.59/26.47  | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 176.59/26.47  | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | |   (3589)   ~ (all_32_2 = e3)
% 176.59/26.47  | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | REDUCE: (344), (3589) imply:
% 176.59/26.47  | | | | | | | | | | | | | | |   (3590)   ~ (all_6_2 = e3)
% 176.59/26.47  | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | |   (3591)  all_54_15 = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (3591) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | |   (3592)  all_6_2 = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | REDUCE: (3590), (3592) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | |   (3593)  $false
% 176.59/26.47  | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | CLOSE: (3593) is inconsistent.
% 176.59/26.47  | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47  | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | |   (3594)   ~ (all_54_15 = e3)
% 176.59/26.47  | | | | | | | | | | | | | | | |   (3595)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 176.59/26.47  | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | BETA: splitting (3595) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | |   (3596)  all_54_15 = e2
% 176.59/26.47  | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (3596) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | |   (3597)  all_6_2 = e2
% 176.59/26.47  | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | REDUCE: (389), (3597) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | |   (3598)  $false
% 176.59/26.47  | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | CLOSE: (3598) is inconsistent.
% 176.59/26.47  | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47  | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | |   (3599)   ~ (all_54_15 = e2)
% 176.59/26.47  | | | | | | | | | | | | | | | | |   (3600)  all_54_15 = e1 | all_54_15 = e0
% 176.59/26.47  | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | BETA: splitting (3600) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | |   (3601)  all_54_15 = e1
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (3601) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | |   (3602)  all_6_2 = e1
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | REDUCE: (387), (3602) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | |   (3603)  $false
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | CLOSE: (3603) is inconsistent.
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | |   (3604)  all_54_15 = e0
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (3604) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | |   (3605)  all_6_2 = e0
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2850), (3605) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | |   (3606)  all_57_31 = e0
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | REDUCE: (364), (3605) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | |   (3607)   ~ (all_52_3 = e0)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | REDUCE: (375), (3605) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | |   (3608)   ~ (all_52_7 = e0)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | REDUCE: (382), (3605) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | |   (3609)   ~ (all_52_11 = e0)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | REDUCE: (383), (3605) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | |   (3610)   ~ (all_52_12 = e0)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | REDUCE: (384), (3605) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | |   (3611)   ~ (all_52_13 = e0)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | REDUCE: (385), (3605) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | |   (3612)   ~ (all_52_14 = e0)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | REDUCE: (3590), (3605) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | |   (3613)   ~ (e3 = e0)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | REDUCE: (389), (3605) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | |   (3614)   ~ (e2 = e0)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | REDUCE: (387), (3605) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | |   (3615)   ~ (e1 = e0)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | |   (3616)  all_54_1 = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (3616) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | |   (3617)  all_52_4 = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | SIMP: (3617) implies:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | |   (3618)  all_52_4 = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | REDUCE: (136), (3618) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | |   (3619)   ~ (all_52_6 = e3)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | REDUCE: (135), (3618) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | |   (3620)   ~ (all_52_7 = e3)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | SIMP: (3620) implies:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | |   (3621)   ~ (all_52_7 = e3)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | REDUCE: (134), (3618) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | |   (3622)   ~ (all_52_8 = e3)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | REDUCE: (133), (3618) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | |   (3623)   ~ (all_52_12 = e3)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | SIMP: (3623) implies:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | |   (3624)   ~ (all_52_12 = e3)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | |   (3625)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | BETA: splitting (3625) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | |   (3626)  all_56_0 = e3 & op(e3, e3) = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | ALPHA: (3626) implies:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | |   (3627)  op(e3, e3) = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3571), (3627), (function-axioms) are
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | |   (3628)  all_56_1 = e3 & op(e3, e2) = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | ALPHA: (3628) implies:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | |   (3629)  all_56_1 = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | |   (3630)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3630) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | |   (3631)  all_56_9 = e3 & op(e3, e0) = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3631) implies:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | |   (3632)  op(e3, e0) = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3624), (3632), (function-axioms) are
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | |   (3633)  all_56_10 = e3 & op(e2, e0) = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3633) implies:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | |   (3634)  all_56_10 = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | |   (3635)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3635) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (3636)  all_56_0 = e0 & op(e3, e3) = e0
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3636) implies:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (3637)  op(e3, e3) = e0
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (3637), (function-axioms) are
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (3638)  all_56_1 = e0 & op(e3, e2) = e0
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3629), (3638) are inconsistent by sub-proof
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | |            #1033.
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | |   (3639)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3639) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (3640)  all_56_4 = e0 & op(e3, e1) = e0
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3640) implies:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (3641)  all_56_4 = e0
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (3642)  op(e3, e1) = e0
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3643)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3643) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3644)  all_56_4 = e2 & op(e3, e1) = e2
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3641), (3644) are inconsistent by sub-proof
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3645)  all_56_5 = e2 & op(e2, e1) = e2
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3645) implies:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3646)  all_56_5 = e2
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3647)  op(e2, e1) = e2
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3648)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (3571), (3582), (3648),
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1054.
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3649)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3649) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3650)  all_56_4 = e2 & op(e3, e1) = e2
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3650) implies:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3651)  all_56_4 = e2
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3641), (3651) are inconsistent by sub-proof
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1394.
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3652)  all_56_9 = e2 & op(e3, e0) = e2
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3652) implies:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3653)  all_56_9 = e2
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3654)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (169), (234), (236),
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3571), (3629), (3634), (3641), (3642), (3653),
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3654), (function-axioms) are inconsistent by
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #819.
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3655)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3655) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3656)  all_56_11 = e1 & op(e1, e0) = e1
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3656) implies:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3657)  all_56_11 = e1
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3658)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3658) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3659)  all_56_6 = e2 & op(e1, e3) = e2
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3659) implies:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3660)  all_56_6 = e2
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3661)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3661) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3662)  all_56_12 = e3 & op(e0, e3) = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3662) implies:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3663)  all_56_12 = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3664)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (36), (230), (386), (3629),
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3647), (3653), (3664), (function-axioms) are
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1009.
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3665)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (39), (158), (208), (389), (2843),
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3584), (3663), (3665), (function-axioms) are
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3666)  all_56_13 = e3 & op(e0, e2) = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3666) implies:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3667)  all_56_13 = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3668)  all_54_13 = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (3668) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3669)  all_52_7 = e3
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3621), (3669) imply:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3670)  $false
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3670) is inconsistent.
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3671)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3672)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3672) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3673)  all_56_1 = e1 & op(e3, e2) = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3673) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3674)  all_56_1 = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (3571), (3642),
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3653), (3674), (function-axioms) are inconsistent
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1399.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3675)  all_56_3 = e1 & op(e2, e2) = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3675) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3676)  op(e2, e2) = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3588), (3676), (function-axioms) are
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3677)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3677) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3678)  all_56_7 = e1 & op(e1, e2) = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3678) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3679)  op(e1, e2) = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3680)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3680) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3681)  all_56_6 = e0 & op(e1, e3) = e0
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3681) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3682)  all_56_6 = e0
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3660), (3682) imply:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3683)  e2 = e0
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3653), (3683) imply:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3684)  all_56_9 = e0
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (39), (164), (210), (211),
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (389), (3586), (3634), (3684),
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #873.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3685)  all_56_7 = e0 & op(e1, e2) = e0
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3685) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3686)  op(e1, e2) = e0
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3679), (3686), (function-axioms) are
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #863.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3687)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3687) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3688)  all_56_8 = e0 & op(e1, e1) = e0
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3688) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3689)  op(e1, e1) = e0
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2843), (3689), (function-axioms) are
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3690)  all_56_11 = e0 & op(e1, e0) = e0
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3690) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3691)  op(e1, e0) = e0
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (128), (160), (195), (263), (273), (2838),
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3583), (3584), (3608), (3671), (3691),
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #816.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3692)  all_56_13 = e1 & op(e0, e2) = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3692) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3693)  all_56_13 = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3667), (3693) imply:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3694)  e3 = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3629), (3694) imply:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3695)  all_56_1 = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (3571), (3642),
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3653), (3695), (function-axioms) are inconsistent
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1399.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3696)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (206), (218),
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (2843), (3611), (3641), (3653), (3657),
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3696), (function-axioms) are inconsistent by
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #812.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3697)  all_56_7 = e2 & op(e1, e2) = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3697) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3698)  op(e1, e2) = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3583), (3698), (function-axioms) are
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3699)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3699) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3700)  all_56_8 = e2 & op(e1, e1) = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3700) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3701)  op(e1, e1) = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (3641),
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3646), (3701), (function-axioms) are inconsistent
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #932.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3702)  all_56_11 = e2 & op(e1, e0) = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3702) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3703)  all_56_11 = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (169),
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (210), (211), (230), (234), (236), (386), (387),
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (389), (3571), (3634), (3653), (3703),
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #810.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3704)  all_56_15 = e1 & op(e0, e0) = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3704) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3705)  op(e0, e0) = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (3705), (function-axioms) are
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3706)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3706) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3707)  all_56_8 = e2 & op(e1, e1) = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3707) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3708)  op(e1, e1) = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2843), (3708), (function-axioms) are
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3709)  all_56_14 = e2 & op(e0, e1) = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3709) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3710)  all_56_14 = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3711)  op(e0, e1) = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3712)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (3571), (3582), (3712),
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1054.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3713)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3713) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3714)  all_56_4 = e2 & op(e3, e1) = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3714) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3715)  all_56_4 = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3641), (3715) are inconsistent by sub-proof
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1394.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3716)  all_56_9 = e2 & op(e3, e0) = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3716) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3717)  all_56_9 = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3718)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (169), (234), (236),
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3571), (3629), (3634), (3641), (3642), (3717),
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3718), (function-axioms) are inconsistent by
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #819.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3719)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3719) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3720)  all_56_11 = e1 & op(e1, e0) = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3720) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3721)  all_56_11 = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3722)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3722) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3723)  all_56_6 = e2 & op(e1, e3) = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3723) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3724)  all_56_6 = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3725)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3725) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3726)  all_56_12 = e1 & op(e0, e3) = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3567), (3726), (function-axioms) are
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1106.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3727)  all_56_13 = e1 & op(e0, e2) = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3727) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3728)  all_56_13 = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3729)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3729) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3730)  all_56_12 = e3 & op(e0, e3) = e3
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3730) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3731)  all_56_12 = e3
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3732)  all_54_13 = e3
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (3732) imply:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3733)  all_52_7 = e3
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3621), (3733) imply:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3734)  $false
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3734) is inconsistent.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3735)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3736)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3736) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3737)  all_56_2 = e1 & op(e2, e3) = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (36), (229), (386), (3724), (3731),
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3737), (function-axioms) are inconsistent by
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1013.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3738)  all_56_3 = e1 & op(e2, e2) = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3738) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3739)  op(e2, e2) = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3588), (3739), (function-axioms) are
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3740)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3740) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3741)  all_56_5 = e1 & op(e2, e1) = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3741) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3742)  op(e2, e1) = e1
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3743)  all_54_3 = e3
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (3624), (3743) are inconsistent by
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #809.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3744)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3735) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3745)  all_54_13 = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (3584), (3745) are inconsistent by
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1185.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3746)   ~ (all_54_13 = e2)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3747)  all_54_13 = e1 | all_54_13 = e0
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3744) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3748)  all_54_3 = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (3748) imply:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3749)  all_52_12 = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3749) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3750)  all_52_12 = e2
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (3750) imply:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3751)   ~ (all_52_8 = e2)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (3750) imply:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3752)   ~ (all_52_13 = e2)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (3750) imply:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3753)   ~ (all_52_14 = e2)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3753) implies:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3754)   ~ (all_52_14 = e2)
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3755)  all_54_11 = e3
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (3755) imply:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3756)  all_52_14 = e3
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2842), (3756) imply:
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3757)  $false
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3757) is inconsistent.
% 176.59/26.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3758)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3759)  all_54_2 = e3
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (2839), (3759) are inconsistent by
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1335.
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3760)   ~ (all_54_2 = e3)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3761)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3758) gives:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3762)  all_54_11 = e2
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (3762) imply:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3763)  all_52_14 = e2
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3754), (3763) imply:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3764)  $false
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3764) is inconsistent.
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3765)  all_54_11 = e1 | all_54_11 = e0
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3761) gives:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3766)  all_54_2 = e2
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (3751), (3766) are inconsistent by
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1480.
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3767)  all_54_2 = e1 | all_54_2 = e0
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3747) gives:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3768)  all_54_13 = e1
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (3768) imply:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3769)  all_52_7 = e1
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3769) implies:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3770)  all_52_7 = e1
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (3770) imply:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3771)   ~ (all_52_6 = e1)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3584), (3770) imply:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3772)   ~ (e2 = e1)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3773)  all_54_12 = e3
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (3773) imply:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3774)  all_52_3 = e3
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3774) implies:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3775)  all_52_3 = e3
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3775) imply:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3776)   ~ (all_52_1 = e3)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3777)  all_54_4 = e3
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (3776), (3777) are inconsistent by
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1078.
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3778)   ~ (all_54_4 = e3)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3779)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3779) gives:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3780)  all_54_4 = e2
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (3581), (3780) are inconsistent by
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1084.
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3781)   ~ (all_54_4 = e2)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3782)  all_54_4 = e1 | all_54_4 = e0
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3782) gives:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3783)  all_54_4 = e1
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (3565), (3783) are inconsistent by
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1083.
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3784)  all_54_4 = e0
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (3784) imply:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3785)  all_52_1 = e0
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3785) implies:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3786)  all_52_1 = e0
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (3786) imply:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3787)   ~ (all_52_9 = e0)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3787) implies:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3788)   ~ (all_52_9 = e0)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (3786) imply:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3789)   ~ (all_52_13 = e0)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3790)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3790) gives:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3791)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (284), (286), (2839), (3565),
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3569), (3767), (3776), (3782), (3791),
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #808.
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3792)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3792) gives:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3793)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_17) =
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3793) implies:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3794)  op(e3, e0) = e3
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (113), (168), (197), (265), (275), (3586),
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3611), (3612), (3765), (3794), (function-axioms)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #942.
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3795)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) =
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3795) implies:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3796)  op(e2, e3) = e2
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (284), (3565), (3581), (3782), (3796),
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1077.
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3797)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.59/26.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3797) gives:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3798)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (198), (276), (3584), (3585),
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3788), (3798), (function-axioms) are inconsistent
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1038.
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3799)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3799) gives:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3800)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3800) implies:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3801)  op(e3, e1) = e1
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (36), (230), (386), (3629), (3717),
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3801), (function-axioms) are inconsistent by
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1568.
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3802)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3802) gives:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3803)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3803) implies:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3804)  op(e1, e2) = e1
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3771), (3804), (function-axioms) are
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #834.
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3805)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3805) implies:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3806)  op(e0, e1) = all_57_27
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3807)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3606), (3711), (3806), (3807),
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #861.
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3808)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (139), (165), (190), (262), (264), (2841),
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3567), (3607), (3609), (3742), (3808),
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #805.
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3809)  all_54_13 = e0
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (3608), (3809) are inconsistent by
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1312.
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3810)  all_54_3 = e1 | all_54_3 = e0
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (3570), (3610), (3810) are inconsistent by
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #827.
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3811)  all_56_10 = e1 & op(e2, e0) = e1
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3811) implies:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3812)  all_56_10 = e1
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (164), (206), (212),
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3611), (3717), (3721), (3812), (function-axioms)
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1205.
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3813)  all_56_13 = e3 & op(e0, e2) = e3
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3813) implies:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3814)  all_56_13 = e3
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3728), (3814) imply:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3815)  e3 = e1
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3815) implies:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3816)  e3 = e1
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3629), (3816) imply:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3817)  all_56_1 = e1
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (3571), (3642),
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3717), (3817), (function-axioms) are inconsistent
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1399.
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3818)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (206), (218),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (2843), (3611), (3641), (3717), (3721),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3818), (function-axioms) are inconsistent by
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #812.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3819)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (3711), (3819),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #856.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3820)  all_56_7 = e2 & op(e1, e2) = e2
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3820) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3821)  op(e1, e2) = e2
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3583), (3821), (function-axioms) are
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3822)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3822) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3823)  all_56_8 = e2 & op(e1, e1) = e2
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3823) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3824)  op(e1, e1) = e2
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (217), (218),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (3710), (3824), (function-axioms) are
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #976.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3825)  all_56_11 = e2 & op(e1, e0) = e2
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3825) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3826)  all_56_11 = e2
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (169),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (210), (211), (230), (234), (236), (386), (387),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (389), (3571), (3634), (3717), (3826),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #810.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3827)  all_56_15 = e1 & op(e0, e0) = e1
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3827) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3828)  op(e0, e0) = e1
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (3828), (function-axioms) are
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (3829)  all_56_9 = e0 & op(e3, e0) = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3829) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (3830)  all_56_9 = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (39), (164), (210), (211),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (389), (3586), (3634), (3830),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | |            #873.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | |   (3831)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3831) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | |   (3832)  all_56_11 = e3 & op(e1, e0) = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (2842), (3832), (function-axioms) are
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #804.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | |   (3833)  all_56_15 = e3 & op(e0, e0) = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3833) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | |   (3834)  op(e0, e0) = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (261), (387), (3590), (3600), (3834),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | |   (3835)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (2839), (3624), (3835),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | |            #803.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | |   (3836)   ~ (all_54_1 = e3)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | |   (3837)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | REDUCE: (287), (3836) imply:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | |   (3838)   ~ (all_52_4 = e3)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | BETA: splitting (3837) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | |   (3839)  all_54_1 = e2
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (3582), (3839) are inconsistent by
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | |            sub-proof #1338.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | |   (3840)   ~ (all_54_1 = e2)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | |   (3841)  all_54_1 = e1 | all_54_1 = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | BETA: splitting (3841) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | |   (3842)  all_54_1 = e1
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (3568), (3842) are inconsistent by
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1337.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | |   (3843)  all_54_1 = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (3843) imply:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | |   (3844)  all_52_4 = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | SIMP: (3844) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | |   (3845)  all_52_4 = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (3845) imply:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | |   (3846)   ~ (all_52_6 = e0)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | SIMP: (3846) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | |   (3847)   ~ (all_52_6 = e0)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (3845) imply:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | |   (3848)   ~ (all_52_7 = e0)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | |   (3849)  all_54_9 = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (2838), (3849) are inconsistent by
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | |   (3850)   ~ (all_54_9 = e3)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | |   (3851)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3851) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | |   (3852)  all_54_9 = e2
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (3583), (3852) are inconsistent by
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1323.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | |   (3853)  all_54_9 = e1 | all_54_9 = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | |   (3854)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (3588), (3838), (3854),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | |            #1601.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | |   (3855)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3855) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (3856)  all_56_7 = e3 & op(e1, e2) = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3856) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (3857)  op(e1, e2) = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (273), (2838), (3847), (3853), (3857),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | |            #1218.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (3858)  all_56_13 = e3 & op(e0, e2) = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3858) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (3859)  all_56_13 = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3860)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (3571), (3838), (3860),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | |            #802.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3861)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3861) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3862)  all_56_4 = e3 & op(e3, e1) = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3862) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3863)  op(e3, e1) = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2839), (3863), (function-axioms) are
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3864)  all_56_9 = e3 & op(e3, e0) = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3864) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3865)  all_56_9 = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3866)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3866) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3867)  all_56_2 = e0 & op(e2, e3) = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3867) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3868)  op(e2, e3) = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3869)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (3571), (3868), (3869),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1020.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3870)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3870) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3871)  all_56_6 = e3 & op(e1, e3) = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3871) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3872)  all_56_6 = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3873)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3873) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3874)  all_56_6 = e0 & op(e1, e3) = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3872), (3874) are inconsistent by sub-proof
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #801.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3875)  all_56_7 = e0 & op(e1, e2) = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3847), (3875), (function-axioms) are
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1199.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3876)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3876) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3877)  all_56_8 = e0 & op(e1, e1) = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3877) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3878)  op(e1, e1) = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2843), (3878), (function-axioms) are
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3879)  all_56_11 = e0 & op(e1, e0) = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3879) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3880)  all_56_11 = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (214), (215), (2843),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3872), (3880), (function-axioms) are inconsistent
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #799.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3881)  all_56_12 = e3 & op(e0, e3) = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (159),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (209), (387), (389), (3584),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3859), (3881), (function-axioms) are inconsistent
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #798.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3882)  all_56_3 = e0 & op(e2, e2) = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3882) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3883)  op(e2, e2) = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3588), (3883), (function-axioms) are
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3884)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3884) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3885)  all_56_5 = e0 & op(e2, e1) = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3885) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3886)  all_56_5 = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3887)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3887) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3888)  all_56_2 = e1 & op(e2, e3) = e1
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (3565), (3888), (function-axioms) are
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1352.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3889)  all_56_3 = e1 & op(e2, e2) = e1
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3889) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3890)  op(e2, e2) = e1
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3588), (3890), (function-axioms) are
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3891)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3891) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3892)  all_56_5 = e1 & op(e2, e1) = e1
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3892) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3893)  all_56_5 = e1
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3886), (3893) are inconsistent by sub-proof
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #981.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3894)  all_56_10 = e1 & op(e2, e0) = e1
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3894) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3895)  all_56_10 = e1
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3896)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (3571), (3582), (3896),
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1054.
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3897)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3897) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3898)  all_56_4 = e2 & op(e3, e1) = e2
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3898) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3899)  all_56_4 = e2
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3900)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3900) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3901)  all_56_6 = e0 & op(e1, e3) = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3901) implies:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3902)  all_56_6 = e0
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3903)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3903) gives:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3904)  all_56_2 = e3 & op(e2, e3) = e3
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3904) implies:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3905)  op(e2, e3) = e3
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3906)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3906) gives:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3907)  all_56_12 = e1 & op(e0, e3) = e1
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3567), (3907), (function-axioms) are
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1106.
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3908)  all_56_13 = e1 & op(e0, e2) = e1
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3908) implies:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3909)  all_56_13 = e1
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3859), (3909) imply:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3910)  e3 = e1
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3865), (3910) imply:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3911)  all_56_9 = e1
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (3571), (3899), (3911),
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1373.
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3912)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3912) gives:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3913)  all_56_14 = e1 & op(e0, e1) = e1
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3913) implies:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3914)  op(e0, e1) = e1
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3915)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (224),
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3571), (3588), (3895), (3915), (function-axioms)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1099.
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3916)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3916) gives:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3917)  all_56_6 = e2 & op(e1, e3) = e2
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3917) implies:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3918)  all_56_6 = e2
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3902), (3918) are inconsistent by sub-proof
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1592.
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3919)  all_56_12 = e2 & op(e0, e3) = e2
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3919) implies:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3920)  op(e0, e3) = e2
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3853) gives:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3921)  all_54_9 = e1
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (3921) imply:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3922)  all_52_6 = e1
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3922) implies:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3923)  all_52_6 = e1
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (3923) imply:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3924)   ~ (all_52_7 = e1)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3924) implies:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3925)   ~ (all_52_7 = e1)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (3923) imply:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3926)   ~ (all_52_14 = e1)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3926) implies:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3927)   ~ (all_52_14 = e1)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3928)  all_54_11 = e3
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (3928) imply:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3929)  all_52_14 = e3
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2842), (3929) imply:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3930)  $false
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3930) is inconsistent.
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3931)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3932)  all_54_13 = e3
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (3932) imply:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3933)  all_52_7 = e3
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3933) implies:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3934)  all_52_7 = e3
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (3934) imply:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3935)   ~ (all_52_3 = e3)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (3934) imply:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3936)   ~ (all_52_11 = e3)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3937)  all_54_12 = e3
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (3935), (3937) are inconsistent by
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1265.
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3938)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3939)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3939) gives:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3940)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (170), (2839), (3838), (3940),
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1343.
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3941)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (3582), (3920), (3941),
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #876.
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.59/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3942)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3942) gives:
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.86/26.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3943)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3584), (3905), (3943), (function-axioms)
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #830.
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 176.86/26.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3944)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3944) gives:
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 176.86/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3945)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3945) implies:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3946)  op(e3, e1) = e1
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (139), (169), (190), (262), (264), (2841),
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3567), (3607), (3609), (3938), (3946),
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1254.
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3947)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3947) gives:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3948)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3948) implies:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3949)  op(e2, e1) = e1
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (139), (165), (190), (262), (264), (2841),
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3567), (3607), (3609), (3938), (3949),
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #805.
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3950)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3950) implies:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3951)  op(e0, e1) = all_57_27
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3952)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (160), (265), (3612), (3914), (3927),
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3931), (3951), (3952), (function-axioms) are
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1035.
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3953)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (3584), (3608), (3925), (3953) are
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1116.
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3954)  all_54_9 = e0
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (3847), (3954) are inconsistent by
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1321.
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3955)  all_56_15 = e1 & op(e0, e0) = e1
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3955) implies:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3956)  op(e0, e0) = e1
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (3956), (function-axioms) are
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3957)  all_56_3 = e3 & op(e2, e2) = e3
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3957) implies:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3958)  op(e2, e2) = e3
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3588), (3958), (function-axioms) are
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3959)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3959) gives:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3960)  all_56_5 = e3 & op(e2, e1) = e3
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3960) implies:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3961)  op(e2, e1) = e3
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2840), (3961), (function-axioms) are
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3962)  all_56_10 = e3 & op(e2, e0) = e3
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3962) implies:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3963)  all_56_10 = e3
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3895), (3963) imply:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3964)  e3 = e1
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3964) implies:
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3965)  e3 = e1
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3865), (3965) imply:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3966)  all_56_9 = e1
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (3571), (3899), (3966),
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1373.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3967)  all_56_7 = e0 & op(e1, e2) = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3847), (3967), (function-axioms) are
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1199.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3968)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (2843), (3612), (3968),
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #874.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3969)  all_56_9 = e2 & op(e3, e0) = e2
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3969) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3970)  all_56_9 = e2
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3865), (3970) are inconsistent by sub-proof
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1576.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3971)  all_56_10 = e0 & op(e2, e0) = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3971) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3972)  op(e2, e0) = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3611), (3972), (function-axioms) are
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1504.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | End of split
% 177.19/26.58  | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | |   (3973)  all_32_2 = e3
% 177.19/26.58  | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | COMBINE_EQS: (344), (3973) imply:
% 177.19/26.58  | | | | | | | | | | | | | | |   (3974)  all_6_2 = e3
% 177.19/26.58  | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | SIMP: (3974) implies:
% 177.19/26.58  | | | | | | | | | | | | | | |   (3975)  all_6_2 = e3
% 177.19/26.58  | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | COMBINE_EQS: (311), (3975) imply:
% 177.19/26.58  | | | | | | | | | | | | | | |   (3976)  all_38_2 = e3
% 177.19/26.58  | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | REDUCE: (383), (3975) imply:
% 177.19/26.58  | | | | | | | | | | | | | | |   (3977)   ~ (all_52_12 = e3)
% 177.19/26.58  | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | REDUCE: (39), (3975) imply:
% 177.19/26.58  | | | | | | | | | | | | | | |   (3978)  op(e0, e0) = e3
% 177.19/26.58  | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | |   (3979)   ~ (all_38_2 = e3)
% 177.19/26.58  | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | REDUCE: (3976), (3979) imply:
% 177.19/26.58  | | | | | | | | | | | | | | | |   (3980)  $false
% 177.19/26.58  | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | CLOSE: (3980) is inconsistent.
% 177.19/26.58  | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | |   (3981)  ( ~ (all_38_0 = e1) & op(e3, e3) = all_38_0 &
% 177.19/26.58  | | | | | | | | | | | | | | | |             $i(all_38_0)) | ( ~ (all_38_1 = e2) & op(e3, e0)
% 177.19/26.58  | | | | | | | | | | | | | | | |             = all_38_1 & $i(all_38_1))
% 177.19/26.58  | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | |   (3982)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.19/26.58  | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.19/26.58  | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | BETA: splitting (3982) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | |   (3983)  all_56_1 = e3 & op(e3, e2) = e3
% 177.19/26.58  | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | ALPHA: (3983) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | |   (3984)  op(e3, e2) = e3
% 177.19/26.58  | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | |   (3985)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 177.19/26.58  | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (3588), (3985),
% 177.19/26.58  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.58  | | | | | | | | | | | | | | | | | | |            #1585.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | |   (3986)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 177.19/26.58  | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 177.19/26.58  | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_21 & $i(all_57_21))
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | BETA: splitting (3986) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | |   (3987)  all_57_30 = e0 & op(e1, e1) = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | ALPHA: (3987) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | |   (3988)  op(e1, e1) = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2843), (3988), (function-axioms) are
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | |   (3989)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | |             $i(all_57_21))
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | BETA: splitting (3989) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | |   (3990)  all_57_31 = e0 & op(e0, e0) = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | ALPHA: (3990) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | |   (3991)  op(e0, e0) = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3978), (3991), (function-axioms) are
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | |   (3992)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | |           $i(all_57_21)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | ALPHA: (3992) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | |   (3993)   ~ (all_57_21 = e2)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | |   (3994)  op(e2, e0) = all_57_21
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | |   (3995)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3995) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | |   (3996)  all_56_0 = e3 & op(e3, e3) = e3
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3996) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | |   (3997)  op(e3, e3) = e3
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3571), (3997), (function-axioms) are
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | |   (3998)  all_56_2 = e3 & op(e2, e3) = e3
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3998) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | |   (3999)  op(e2, e3) = e3
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | |   (4000)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (3588), (4000),
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | |            #1585.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | |   (4001)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_24 & $i(all_57_24))
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4001) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | |   (4002)  all_57_30 = e0 & op(e1, e1) = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4002) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | |   (4003)  op(e1, e1) = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2843), (4003), (function-axioms) are
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | |   (4004)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24))
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4004) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4005)  all_57_31 = e0 & op(e0, e0) = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4005) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4006)  op(e0, e0) = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3978), (4006), (function-axioms) are
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4007)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_24)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4007) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4008)   ~ (all_57_24 = e1)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4009)  op(e1, e0) = all_57_24
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3981) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4010)   ~ (all_38_0 = e1) & op(e3, e3) = all_38_0 &
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_38_0)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4010) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4011)   ~ (all_38_0 = e1)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4012)  op(e3, e3) = all_38_0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3571), (4011), (4012), (function-axioms) are
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1056.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4013)   ~ (all_38_1 = e2) & op(e3, e0) = all_38_1 &
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_38_1)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4013) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4014)   ~ (all_38_1 = e2)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4015)  op(e3, e0) = all_38_1
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4016)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (3588), (4016),
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1585.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4017)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & $i(all_57_18))
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4017) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4018)  all_57_30 = e0 & op(e1, e1) = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4018) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4019)  op(e1, e1) = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2843), (4019), (function-axioms) are
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4020)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_18))
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4020) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4021)  all_57_31 = e0 & op(e0, e0) = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4021) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4022)  op(e0, e0) = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3978), (4022), (function-axioms) are
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4023)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_18)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4023) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4024)  op(e3, e0) = all_57_18
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24, e0, e1, simplifying with (160), (4009)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4025)  all_57_24 = all_52_14
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21, e0, e2, simplifying with (164), (3994)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4026)  all_57_21 = all_52_13
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (3999) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4027)  all_52_1 = e3
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_18, e0, e3, simplifying with (168), (4024)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4028)  all_57_18 = all_52_12
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_38_1,
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_18, e0, e3, simplifying with (4015), (4024)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4029)  all_57_18 = all_38_1
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (3984) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4030)  all_52_4 = e3
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4028), (4029) imply:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4031)  all_52_12 = all_38_1
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4031) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4032)  all_52_12 = all_38_1
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (4032) imply:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4033)  all_54_3 = all_38_1
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4008), (4025) imply:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4034)   ~ (all_52_14 = e1)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (4027) imply:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4035)   ~ (all_52_2 = e3)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4027) imply:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4036)   ~ (all_52_13 = e3)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4036) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4037)   ~ (all_52_13 = e3)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (4030) imply:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4038)   ~ (all_52_8 = e3)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (4032) imply:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4039)   ~ (all_52_13 = all_38_1)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4039) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4040)   ~ (all_52_13 = all_38_1)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (4032) imply:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4041)   ~ (all_52_14 = all_38_1)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4041) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4042)   ~ (all_52_14 = all_38_1)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3977), (4032) imply:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4043)   ~ (all_38_1 = e3)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3570), (4032) imply:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4044)   ~ (all_38_1 = e1)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4045)  all_54_3 = e3
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4033), (4043), (4045) are inconsistent by
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1055.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4046)   ~ (all_54_3 = e3)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4047)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4048)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4048) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4049)  all_56_9 = e1 & op(e3, e0) = e1
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4049) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4050)  all_56_9 = e1
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (3571), (4050),
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1103.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4051)  all_56_10 = e1 & op(e2, e0) = e1
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4051) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4052)  all_56_10 = e1
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4047) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4053)  all_54_3 = e2
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4014), (4033), (4053) are inconsistent by
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1053.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4054)   ~ (all_54_3 = e2)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4055)  all_54_3 = e1 | all_54_3 = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4055) gives:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4056)  all_54_3 = e1
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4033), (4044), (4056) are inconsistent by
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1052.
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4057)  all_54_3 = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4033), (4057) imply:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4058)  all_38_1 = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4058) implies:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4059)  all_38_1 = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4029), (4059) imply:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4060)  all_57_18 = e0
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4040), (4059) imply:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4061)   ~ (all_52_13 = e0)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4042), (4059) imply:
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4062)   ~ (all_52_14 = e0)
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4043), (4059) imply:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4063)   ~ (e3 = e0)
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4014), (4059) imply:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4064)   ~ (e2 = e0)
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4044), (4059) imply:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4065)   ~ (e1 = e0)
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4015), (4059) imply:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4066)  op(e3, e0) = e0
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4067)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4067) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4068)  all_56_12 = e2 & op(e0, e3) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4068) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4069)  all_56_12 = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4070)  op(e0, e3) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4071)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4071) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4072)  all_56_4 = e2 & op(e3, e1) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4072) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4073)  all_56_4 = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4074)  all_54_7 = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (4037), (4074) are inconsistent by
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #797.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4075)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (117), (141),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (158), (160), (163), (164), (165), (169),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (193), (196), (207), (214), (225), (236),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (254), (265), (274), (275), (387), (2837), (2839),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2842), (2843), (3566), (3569), (3571), (3582),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3584), (3586), (3588), (3999), (4034), (4060),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4061), (4062), (4066), (4070), (4073), (4075),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #790.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4076)  all_56_5 = e2 & op(e2, e1) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4076) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4077)  all_56_5 = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4078)  op(e2, e1) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4079)  all_54_7 = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (4037), (4079) are inconsistent by
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #797.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4080)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4081)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4081) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4082)  all_56_0 = e2 & op(e3, e3) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4082) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4083)  op(e3, e3) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (229), (231),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (386), (3999), (4069), (4083),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1547.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4084)  all_56_1 = e2 & op(e3, e2) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4084) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4085)  op(e3, e2) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (3582), (4085), (function-axioms) are
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4086)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4086) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4087)  all_56_4 = e2 & op(e3, e1) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4087) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4088)  all_56_4 = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (117), (141),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (158), (160), (163), (164), (165), (169),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (193), (196), (207), (214), (225), (236),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (254), (265), (274), (275), (387), (2837), (2839),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2842), (2843), (3566), (3569), (3571), (3582),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3584), (3586), (3588), (3999), (4034), (4060),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4061), (4062), (4066), (4070), (4080), (4088),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #790.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4089)  all_56_9 = e2 & op(e3, e0) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4089) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4090)  all_56_9 = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (210),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (224), (387), (3588), (4034), (4052),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4077), (4078), (4090), (function-axioms) are
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #789.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4091)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4091) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4092)  all_56_8 = e2 & op(e1, e1) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4092) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4093)  op(e1, e1) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2843), (4093), (function-axioms) are
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4094)  all_56_14 = e2 & op(e0, e1) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (169), (218),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (223), (224), (2843), (3569), (3999),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4052), (4061), (4094), (function-axioms) are
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #785.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4095)  all_56_13 = e2 & op(e0, e2) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4095) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4096)  op(e0, e2) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3584), (4096), (function-axioms) are
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4097)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4097) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4098)  all_56_14 = e2 & op(e0, e1) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (169), (218),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (223), (224), (2843), (3569), (3999),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4052), (4061), (4098), (function-axioms) are
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #785.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4099)  all_56_15 = e2 & op(e0, e0) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4099) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4100)  op(e0, e0) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (4100), (function-axioms) are
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4101)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (387), (4034), (4101),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1488.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | |   (4102)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4102) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | |   (4103)  all_56_6 = e3 & op(e1, e3) = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4103) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | |   (4104)  op(e1, e3) = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2837), (4104), (function-axioms) are
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #855.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | |   (4105)  all_56_12 = e3 & op(e0, e3) = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (159),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (387), (389), (3584), (3978),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | |            (4105), (function-axioms) are inconsistent by
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #784.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | |   (4106)  all_56_3 = e3 & op(e2, e2) = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | ALPHA: (4106) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | |   (4107)  op(e2, e2) = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3588), (4107), (function-axioms) are
% 177.19/26.59  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | |   (4108)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.19/26.59  | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 177.19/26.59  | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | BETA: splitting (4108) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | |   (4109)  all_56_7 = e3 & op(e1, e2) = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2838), (4109), (function-axioms) are
% 177.19/26.59  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #990.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | |   (4110)  all_56_13 = e3 & op(e0, e2) = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | ALPHA: (4110) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | |   (4111)  all_56_13 = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | |   (4112)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | BETA: splitting (4112) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | |   (4113)  all_56_0 = e3 & op(e3, e3) = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | ALPHA: (4113) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | |   (4114)  op(e3, e3) = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3571), (4114), (function-axioms) are
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | |   (4115)  all_56_2 = e3 & op(e2, e3) = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | ALPHA: (4115) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | |   (4116)  all_56_2 = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | |   (4117)  op(e2, e3) = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | |   (4118)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4118) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | |   (4119)  all_56_0 = e3 & op(e3, e3) = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4119) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | |   (4120)  op(e3, e3) = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (229),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | |            (231), (233), (386), (3566), (4116), (4117),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | |            (4120), (function-axioms) are inconsistent by
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1587.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | |   (4121)  all_56_1 = e3 & op(e3, e2) = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4121) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | |   (4122)  all_56_1 = e3
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | |   (4123)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4123) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | |   (4124)  all_56_12 = e1 & op(e0, e3) = e1
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4124) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | |   (4125)  all_56_12 = e1
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | |   (4126)  op(e0, e3) = e1
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (39), (158), (206), (208),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | |            (389), (3584), (3978), (4111), (4125), (4126),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | |            #1358.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | |   (4127)  all_56_13 = e1 & op(e0, e2) = e1
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4127) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | |   (4128)  all_56_13 = e1
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4111), (4128) imply:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | |   (4129)  e3 = e1
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4122), (4129) imply:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | |   (4130)  all_56_1 = e1
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (3571), (4130),
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | |            #1186.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | |   (4131)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4131) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | |   (4132)  all_56_14 = e1 & op(e0, e1) = e1
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4132) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | |   (4133)  op(e0, e1) = e1
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (4134)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4134) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4135)  all_56_12 = e2 & op(e0, e3) = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4135) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4136)  all_56_12 = e2
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4137)  all_56_15 = e0 & op(e0, e0) = e0
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4137) implies:
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4138)  op(e0, e0) = e0
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3978), (4138), (function-axioms) are
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 177.19/26.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4139)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4139) implies:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4140)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4140) gives:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4141)  all_56_12 = e0 & op(e0, e3) = e0
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4141) implies:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4142)  all_56_12 = e0
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4136), (4142) are inconsistent by sub-proof
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1548.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4143)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (4111), (4133), (4143),
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #782.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4144)  all_56_13 = e2 & op(e0, e2) = e2
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4144) implies:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4145)  op(e0, e2) = e2
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3584), (4145), (function-axioms) are
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (4146)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (389), (4133), (4146),
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |            #837.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (4147)  all_56_15 = e1 & op(e0, e0) = e1
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4147) implies:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (4148)  op(e0, e0) = e1
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (4148), (function-axioms) are
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | |   (4149)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (2839), (3977), (4149),
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | |            #803.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | |   (4150)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 177.19/26.60  | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | BETA: splitting (4150) gives:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | |   (4151)  all_56_6 = e3 & op(e1, e3) = e3
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | ALPHA: (4151) implies:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | |   (4152)  op(e1, e3) = e3
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2837), (4152), (function-axioms) are
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #855.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | |   (4153)  all_56_12 = e3 & op(e0, e3) = e3
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (159),
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (209), (387), (389), (3584),
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | |            (4111), (4153), (function-axioms) are inconsistent
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | |            by sub-proof #798.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60  | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60  | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | End of split
% 177.19/26.60  | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | End of split
% 177.19/26.60  | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | End of split
% 177.19/26.60  | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | |   (4154)  all_54_5 = e1 | all_54_5 = e0
% 177.19/26.60  | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | REF_CLOSE: (283), (392), (3573), (4154) are inconsistent by
% 177.19/26.60  | | | | | | | | | | | | | |            sub-proof #1353.
% 177.19/26.60  | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | End of split
% 177.19/26.60  | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | End of split
% 177.19/26.60  | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | |   (4155)  all_28_2 = e1
% 177.19/26.60  | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | COMBINE_EQS: (329), (4155) imply:
% 177.19/26.60  | | | | | | | | | | | |   (4156)  all_10_2 = e1
% 177.19/26.60  | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | SIMP: (4156) implies:
% 177.19/26.60  | | | | | | | | | | | |   (4157)  all_10_2 = e1
% 177.19/26.60  | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | COMBINE_EQS: (313), (4157) imply:
% 177.19/26.60  | | | | | | | | | | | |   (4158)  all_46_2 = e1
% 177.19/26.60  | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | REDUCE: (367), (4157) imply:
% 177.19/26.60  | | | | | | | | | | | |   (4159)   ~ (all_52_6 = e1)
% 177.19/26.60  | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | REDUCE: (369), (4157) imply:
% 177.19/26.60  | | | | | | | | | | | |   (4160)   ~ (all_52_7 = e1)
% 177.19/26.60  | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | REDUCE: (373), (4157) imply:
% 177.19/26.60  | | | | | | | | | | | |   (4161)   ~ (all_52_13 = e1)
% 177.19/26.60  | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | REDUCE: (390), (4157) imply:
% 177.19/26.60  | | | | | | | | | | | |   (4162)   ~ (e3 = e1)
% 177.19/26.60  | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | REDUCE: (45), (4157) imply:
% 177.19/26.60  | | | | | | | | | | | |   (4163)  op(e2, e2) = e1
% 177.19/26.60  | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | BETA: splitting (100) gives:
% 177.19/26.60  | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | |   (4164)   ~ (all_46_2 = e1)
% 177.19/26.60  | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | REDUCE: (4158), (4164) imply:
% 177.19/26.60  | | | | | | | | | | | | |   (4165)  $false
% 177.19/26.60  | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | CLOSE: (4165) is inconsistent.
% 177.19/26.60  | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | |   (4166)  ( ~ (all_46_0 = e3) & op(e1, e1) = all_46_0 &
% 177.19/26.60  | | | | | | | | | | | | |             $i(all_46_0)) | ( ~ (all_46_1 = e0) & op(e1, e2)
% 177.19/26.60  | | | | | | | | | | | | |             = all_46_1 & $i(all_46_1))
% 177.19/26.60  | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | BETA: splitting (4166) gives:
% 177.19/26.60  | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | |   (4167)   ~ (all_46_0 = e3) & op(e1, e1) = all_46_0 &
% 177.19/26.60  | | | | | | | | | | | | | |           $i(all_46_0)
% 177.19/26.60  | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | ALPHA: (4167) implies:
% 177.19/26.60  | | | | | | | | | | | | | |   (4168)   ~ (all_46_0 = e3)
% 177.19/26.60  | | | | | | | | | | | | | |   (4169)  op(e1, e1) = all_46_0
% 177.19/26.60  | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | REF_CLOSE: (2843), (4168), (4169), (function-axioms) are
% 177.19/26.60  | | | | | | | | | | | | | |            inconsistent by sub-proof #781.
% 177.19/26.60  | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | |   (4170)   ~ (all_46_1 = e0) & op(e1, e2) = all_46_1 &
% 177.19/26.60  | | | | | | | | | | | | | |           $i(all_46_1)
% 177.19/26.60  | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | ALPHA: (4170) implies:
% 177.19/26.60  | | | | | | | | | | | | | |   (4171)   ~ (all_46_1 = e0)
% 177.19/26.60  | | | | | | | | | | | | | |   (4172)  op(e1, e2) = all_46_1
% 177.19/26.60  | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 177.19/26.60  | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | |   (4173)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.19/26.60  | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 177.19/26.60  | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | REF_CLOSE: (6), (3571), (4163), (4173), (function-axioms) are
% 177.19/26.60  | | | | | | | | | | | | | | |            inconsistent by sub-proof #780.
% 177.19/26.60  | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | |   (4174)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 177.19/26.60  | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 177.19/26.60  | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & $i(all_57_23))
% 177.19/26.60  | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | BETA: splitting (4174) gives:
% 177.19/26.60  | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | |   (4175)  all_57_30 = e2 & op(e1, e1) = e2
% 177.19/26.60  | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | ALPHA: (4175) implies:
% 177.19/26.60  | | | | | | | | | | | | | | | |   (4176)  op(e1, e1) = e2
% 177.19/26.60  | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2843), (4176), (function-axioms) are
% 177.19/26.60  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 177.19/26.60  | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | |   (4177)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 177.19/26.60  | | | | | | | | | | | | | | | |             (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 177.19/26.60  | | | | | | | | | | | | | | | |             $i(all_57_23))
% 177.19/26.60  | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | BETA: splitting (4177) gives:
% 177.19/26.60  | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | |   (4178)  all_57_31 = e2 & op(e0, e0) = e2
% 177.19/26.60  | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | ALPHA: (4178) implies:
% 177.19/26.60  | | | | | | | | | | | | | | | | |   (4179)  op(e0, e0) = e2
% 177.19/26.60  | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (4179), (function-axioms) are
% 177.19/26.60  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 177.19/26.60  | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | |   (4180)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 177.19/26.60  | | | | | | | | | | | | | | | | |           $i(all_57_23)
% 177.19/26.60  | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | ALPHA: (4180) implies:
% 177.19/26.60  | | | | | | | | | | | | | | | | |   (4181)  op(e1, e2) = all_57_23
% 177.19/26.60  | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.19/26.60  | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | |   (4182)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.19/26.60  | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 177.19/26.60  | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (169),
% 177.19/26.60  | | | | | | | | | | | | | | | | | |            (230), (234), (236), (386), (3571), (4161),
% 177.19/26.60  | | | | | | | | | | | | | | | | | |            (4182), (function-axioms) are inconsistent by
% 177.19/26.60  | | | | | | | | | | | | | | | | | |            sub-proof #1024.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | |   (4183)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.19/26.60  | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.19/26.60  | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | BETA: splitting (4183) gives:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | |   (4184)  all_56_11 = e1 & op(e1, e0) = e1
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | ALPHA: (4184) implies:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | |   (4185)  all_56_11 = e1
% 177.19/26.60  | | | | | | | | | | | | | | | | | | |   (4186)  op(e1, e0) = e1
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | |   (4187)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4187) gives:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | |   (4188)  all_56_12 = e1 & op(e0, e3) = e1
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3567), (4188), (function-axioms) are
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1106.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | |   (4189)  all_56_13 = e1 & op(e0, e2) = e1
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | ALPHA: (4189) implies:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | |   (4190)  op(e0, e2) = e1
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (4160), (4190), (function-axioms) are
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #841.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | |   (4191)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4191) gives:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | |   (4192)  all_56_14 = e1 & op(e0, e1) = e1
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | ALPHA: (4192) implies:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | |   (4193)  op(e0, e1) = e1
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | |   (4194)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3571), (4163), (4194), (function-axioms) are
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #780.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | |   (4195)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_29 & $i(all_57_29))
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4195) gives:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | |   (4196)  all_57_30 = e2 & op(e1, e1) = e2
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4196) implies:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | |   (4197)  op(e1, e1) = e2
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2843), (4197), (function-axioms) are
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | |   (4198)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29))
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4198) gives:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (4199)  all_57_31 = e2 & op(e0, e0) = e2
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4199) implies:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (4200)  op(e0, e0) = e2
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (4200), (function-axioms) are
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (4201)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4201) implies:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (4202)   ~ (all_57_29 = e2)
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | |   (4203)  op(e2, e2) = all_57_29
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (4204)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3571), (4202), (4203), (4204),
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |            #779.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (4205)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_16 & $i(all_57_16))
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4205) gives:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4206)  all_57_30 = e2 & op(e1, e1) = e2
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4206) implies:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4207)  op(e1, e1) = e2
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2843), (4207), (function-axioms) are
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4208)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16))
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4208) gives:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4209)  all_57_31 = e2 & op(e0, e0) = e2
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4209) implies:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4210)  op(e0, e0) = e2
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (4210), (function-axioms) are
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4211)   ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_16)
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4211) implies:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4212)   ~ (all_57_16 = e3)
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4213)  op(e3, e2) = all_57_16
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4214)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3571), (4202), (4203), (4214),
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #779.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4215)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_26 & $i(all_57_26))
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4215) gives:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4216)  all_57_30 = e2 & op(e1, e1) = e2
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4216) implies:
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4217)  op(e1, e1) = e2
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2843), (4217), (function-axioms) are
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 177.19/26.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4218)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26))
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4218) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4219)  all_57_31 = e2 & op(e0, e0) = e2
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4219) implies:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4220)  op(e0, e0) = e2
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (4220), (function-axioms) are
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4221)   ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_26)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4221) implies:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4222)  op(e0, e2) = all_57_26
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e1, e0, simplifying with (157), (4193) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4223)  all_52_11 = e1
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26, e2, e0, simplifying with (158), (4222)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4224)  all_57_26 = all_52_7
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e1, simplifying with (160), (4186) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4225)  all_52_14 = e1
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_23, e2, e1, simplifying with (162), (4181)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4226)  all_57_23 = all_52_6
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_46_1,
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_23, e2, e1, simplifying with (4172), (4181)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4227)  all_57_23 = all_46_1
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29, e2, e2, simplifying with (4163), (4203)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4228)  all_57_29 = e1
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16, e2, e3, simplifying with (170), (4213)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4229)  all_57_16 = all_52_4
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4226), (4227) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4230)  all_52_6 = all_46_1
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4230) implies:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4231)  all_52_6 = all_46_1
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (4231) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4232)  all_54_9 = all_46_1
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4212), (4229) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4233)   ~ (all_52_4 = e3)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4202), (4228) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4234)   ~ (e2 = e1)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (4231) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4235)   ~ (all_52_4 = all_46_1)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (4231) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4236)   ~ (all_52_7 = all_46_1)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4236) implies:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4237)   ~ (all_52_7 = all_46_1)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2838), (4231) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4238)   ~ (all_46_1 = e3)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4159), (4231) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4239)   ~ (all_46_1 = e1)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (4223) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4240)   ~ (all_52_9 = e1)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (4225) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4241)   ~ (all_6_2 = e1)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4242)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (3571), (4233), (4242),
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #802.
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4243)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4243) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4244)  all_56_4 = e3 & op(e3, e1) = e3
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4244) implies:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4245)  op(e3, e1) = e3
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2839), (4245), (function-axioms) are
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4246)  all_56_9 = e3 & op(e3, e0) = e3
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4246) implies:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4247)  all_56_9 = e3
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4248)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (4163), (4248),
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1301.
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4249)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_24 & $i(all_57_24))
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4249) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4250)  all_57_30 = e0 & op(e1, e1) = e0
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4250) implies:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4251)  op(e1, e1) = e0
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2843), (4251), (function-axioms) are
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4252)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24))
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4252) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4253)  all_57_31 = e0 & op(e0, e0) = e0
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4253) implies:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4254)  all_57_31 = e0
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2850), (4254) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4255)  all_6_2 = e0
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4255) implies:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4256)  all_6_2 = e0
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (4256) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4257)   ~ (all_52_13 = e0)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (4256) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4258)   ~ (e2 = e0)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (4256) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4259)   ~ (e1 = e0)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4260)  all_54_9 = e3
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4232), (4238), (4260) are inconsistent by
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #840.
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4261)   ~ (all_54_9 = e3)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4262)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4263)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4263) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4264)  all_56_9 = e2 & op(e3, e0) = e2
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4264) implies:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4265)  all_56_9 = e2
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4247), (4265) are inconsistent by sub-proof
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1576.
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4266)  all_56_10 = e2 & op(e2, e0) = e2
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4266) implies:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4267)  all_56_10 = e2
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4268)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4268) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4269)  all_56_2 = e3 & op(e2, e3) = e3
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4269) implies:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4270)  all_56_2 = e3
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4271)  op(e2, e3) = e3
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4272)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (4163), (4233), (4272),
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1135.
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4273)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4273) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4274)  all_56_7 = e3 & op(e1, e2) = e3
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2838), (4274), (function-axioms) are
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #990.
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4275)  all_56_13 = e3 & op(e0, e2) = e3
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4275) implies:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4276)  all_56_13 = e3
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4277)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (4163), (4271), (4277),
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #831.
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4278)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4278) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4279)  all_56_5 = e0 & op(e2, e1) = e0
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4279) implies:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4280)  all_56_5 = e0
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4281)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4281) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4282)  all_56_12 = e2 & op(e0, e3) = e2
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4282) implies:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4283)  op(e0, e3) = e2
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4262) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4284)  all_54_9 = e2
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4232), (4284) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4285)  all_46_1 = e2
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4285) implies:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4286)  all_46_1 = e2
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4227), (4286) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4287)  all_57_23 = e2
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4235), (4286) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4288)   ~ (all_52_4 = e2)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4237), (4286) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4289)   ~ (all_52_7 = e2)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4238), (4286) imply:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4290)   ~ (e3 = e2)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4291)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4291) gives:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4292)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (170), (2839), (4233), (4292),
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1343.
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4293)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (4283), (4288), (4293),
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #876.
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4294)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4294) gives:
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4295)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (4271), (4289), (4295), (function-axioms)
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #830.
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4296)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4296) gives:
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4297)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4297) implies:
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4298)  op(e3, e1) = e1
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3569), (4298), (function-axioms) are
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4299)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4299) gives:
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4300)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4300) implies:
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4301)  op(e2, e1) = e1
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4240), (4301), (function-axioms) are
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4302)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4302) implies:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4303)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4254), (4287), (4303), (function-axioms) are
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #778.
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4304)  all_54_9 = e1 | all_54_9 = e0
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4171), (4232), (4239), (4304) are inconsistent by
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #820.
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4305)  all_56_13 = e2 & op(e0, e2) = e2
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4305) implies:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4306)  all_56_13 = e2
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4276), (4306) imply:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4307)  e3 = e2
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4270), (4307) imply:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4308)  all_56_2 = e2
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (4163), (4267), (4280),
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4308), (function-axioms) are inconsistent by
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1330.
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4309)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (389), (4193), (4309),
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #837.
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4310)  all_56_10 = e0 & op(e2, e0) = e0
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4310) implies:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4311)  op(e2, e0) = e0
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4257), (4311), (function-axioms) are
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1504.
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4312)  all_56_3 = e3 & op(e2, e2) = e3
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4312) implies:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4313)  op(e2, e2) = e3
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4163), (4313), (function-axioms) are
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4314)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4314) gives:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4315)  all_56_5 = e3 & op(e2, e1) = e3
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4315) implies:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4316)  op(e2, e1) = e3
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2840), (4316), (function-axioms) are
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4317)  all_56_10 = e3 & op(e2, e0) = e3
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4317) implies:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4318)  all_56_10 = e3
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (39), (211), (389), (4185), (4247),
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4318), (function-axioms) are inconsistent by
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #776.
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4319)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (39), (162), (213),
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (389), (2843), (4159), (4171), (4172),
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4319), (function-axioms) are inconsistent by
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #832.
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4320)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_24)
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4320) implies:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4321)   ~ (all_57_24 = e1)
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4322)  op(e1, e0) = all_57_24
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4186), (4321), (4322), (function-axioms) are
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1423.
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | |   (4323)  all_56_15 = e1 & op(e0, e0) = e1
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | ALPHA: (4323) implies:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | |   (4324)  op(e0, e0) = e1
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (4324), (function-axioms) are
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | |   (4325)  all_56_15 = e1 & op(e0, e0) = e1
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | ALPHA: (4325) implies:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | |   (4326)  op(e0, e0) = e1
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (4326), (function-axioms) are
% 177.19/26.63  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.19/26.63  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | 
% 177.19/26.63  | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | 
% 177.19/26.63  | | | | | | | End of split
% 177.19/26.63  | | | | | | | 
% 177.19/26.63  | | | | | | Case 2:
% 177.19/26.63  | | | | | | | 
% 177.19/26.63  | | | | | | |   (4327)  all_14_2 = e2
% 177.19/26.63  | | | | | | | 
% 177.19/26.63  | | | | | | | REDUCE: (363), (4327) imply:
% 177.19/26.63  | | | | | | |   (4328)   ~ (all_52_2 = e2)
% 177.19/26.63  | | | | | | | 
% 177.19/26.63  | | | | | | | REDUCE: (374), (4327) imply:
% 177.19/26.63  | | | | | | |   (4329)   ~ (all_52_6 = e2)
% 177.19/26.63  | | | | | | | 
% 177.19/26.63  | | | | | | | REDUCE: (376), (4327) imply:
% 177.19/26.63  | | | | | | |   (4330)   ~ (all_52_8 = e2)
% 177.19/26.63  | | | | | | | 
% 177.19/26.63  | | | | | | | REDUCE: (377), (4327) imply:
% 177.19/26.63  | | | | | | |   (4331)   ~ (all_52_9 = e2)
% 177.19/26.63  | | | | | | | 
% 177.19/26.63  | | | | | | | REDUCE: (379), (4327) imply:
% 177.19/26.63  | | | | | | |   (4332)   ~ (all_52_11 = e2)
% 177.19/26.63  | | | | | | | 
% 177.19/26.63  | | | | | | | REDUCE: (381), (4327) imply:
% 177.19/26.63  | | | | | | |   (4333)   ~ (all_52_14 = e2)
% 177.19/26.63  | | | | | | | 
% 177.19/26.63  | | | | | | | REDUCE: (51), (4327) imply:
% 177.19/26.63  | | | | | | |   (4334)  op(e1, e1) = e2
% 177.19/26.63  | | | | | | | 
% 177.19/26.63  | | | | | | | BETA: splitting (238) gives:
% 177.19/26.63  | | | | | | | 
% 177.19/26.63  | | | | | | | Case 1:
% 177.19/26.63  | | | | | | | | 
% 177.19/26.63  | | | | | | | |   (4335)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 &
% 177.19/26.63  | | | | | | | |             op(e2, e2) = e0)
% 177.19/26.63  | | | | | | | | 
% 177.19/26.63  | | | | | | | | REF_CLOSE: (36), (45), (386), (392), (4335), (function-axioms)
% 177.19/26.63  | | | | | | | |            are inconsistent by sub-proof #1622.
% 177.19/26.63  | | | | | | | | 
% 177.19/26.63  | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | 
% 177.19/26.63  | | | | | | | |   (4336)  (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 177.19/26.63  | | | | | | | |             all_57_31 & $i(all_57_31))
% 177.19/26.63  | | | | | | | | 
% 177.19/26.63  | | | | | | | | BETA: splitting (4336) gives:
% 177.19/26.63  | | | | | | | | 
% 177.19/26.63  | | | | | | | | Case 1:
% 177.19/26.63  | | | | | | | | | 
% 177.19/26.63  | | | | | | | | |   (4337)  all_57_30 = e0 & op(e1, e1) = e0
% 177.19/26.63  | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | ALPHA: (4337) implies:
% 177.19/26.63  | | | | | | | | |   (4338)  op(e1, e1) = e0
% 177.19/26.63  | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | REF_CLOSE: (5), (4334), (4338), (function-axioms) are
% 177.19/26.63  | | | | | | | | |            inconsistent by sub-proof #1230.
% 177.19/26.63  | | | | | | | | | 
% 177.19/26.63  | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | 
% 177.19/26.63  | | | | | | | | |   (4339)  op(e0, e0) = all_57_31 & $i(all_57_31)
% 177.19/26.63  | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | ALPHA: (4339) implies:
% 177.19/26.63  | | | | | | | | |   (4340)  op(e0, e0) = all_57_31
% 177.19/26.63  | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 177.19/26.63  | | | | | | | | |              all_57_31, e0, e0, simplifying with (39), (4340)
% 177.19/26.63  | | | | | | | | |              gives:
% 177.19/26.63  | | | | | | | | |   (4341)  all_57_31 = all_6_2
% 177.19/26.63  | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | BETA: splitting (58) gives:
% 177.19/26.63  | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | Case 1:
% 177.19/26.63  | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | |   (4342)   ~ (all_18_2 = e1)
% 177.19/26.63  | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | REDUCE: (342), (4342) imply:
% 177.19/26.63  | | | | | | | | | |   (4343)   ~ (all_4_2 = e1)
% 177.19/26.63  | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | BETA: splitting (73) gives:
% 177.19/26.63  | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | Case 1:
% 177.19/26.63  | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | |   (4344)   ~ (all_28_2 = e1)
% 177.19/26.63  | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | REDUCE: (329), (4344) imply:
% 177.19/26.63  | | | | | | | | | | |   (4345)   ~ (all_10_2 = e1)
% 177.19/26.63  | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | BETA: splitting (242) gives:
% 177.19/26.63  | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | Case 1:
% 177.19/26.63  | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | |   (4346)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 177.19/26.63  | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 177.19/26.63  | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | BETA: splitting (4346) gives:
% 177.19/26.63  | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | Case 1:
% 177.19/26.63  | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | |   (4347)  all_57_28 = e1 & op(e3, e3) = e1
% 177.19/26.63  | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | ALPHA: (4347) implies:
% 177.19/26.63  | | | | | | | | | | | | |   (4348)  op(e3, e3) = e1
% 177.19/26.63  | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | REF_CLOSE: (36), (4343), (4348), (function-axioms) are
% 177.19/26.63  | | | | | | | | | | | | |            inconsistent by sub-proof #1525.
% 177.19/26.63  | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | |   (4349)  all_57_29 = e1 & op(e2, e2) = e1
% 177.19/26.63  | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | ALPHA: (4349) implies:
% 177.19/26.63  | | | | | | | | | | | | |   (4350)  op(e2, e2) = e1
% 177.19/26.63  | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | REF_CLOSE: (45), (199), (283), (390), (392), (4345), (4350),
% 177.19/26.63  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.63  | | | | | | | | | | | | |            #1270.
% 177.19/26.63  | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | |   (4351)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 177.19/26.63  | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 177.19/26.63  | | | | | | | | | | | |             op(e1, e1) = all_57_30 & $i(all_57_30))
% 177.19/26.63  | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | BETA: splitting (4351) gives:
% 177.19/26.63  | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | Case 1:
% 177.19/26.63  | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | |   (4352)  all_57_30 = e1 & op(e1, e1) = e1
% 177.19/26.63  | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | ALPHA: (4352) implies:
% 177.19/26.63  | | | | | | | | | | | | |   (4353)  op(e1, e1) = e1
% 177.19/26.63  | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (4353), (function-axioms) are
% 177.19/26.63  | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 177.19/26.63  | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | |   (4354)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 177.19/26.63  | | | | | | | | | | | | |             (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 177.19/26.63  | | | | | | | | | | | | |             $i(all_57_30))
% 177.19/26.63  | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | BETA: splitting (4354) gives:
% 177.19/26.63  | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | Case 1:
% 177.19/26.63  | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | |   (4355)  all_57_31 = e1 & op(e0, e0) = e1
% 177.19/26.63  | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | ALPHA: (4355) implies:
% 177.19/26.63  | | | | | | | | | | | | | |   (4356)  op(e0, e0) = e1
% 177.19/26.63  | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (4356), (function-axioms) are
% 177.19/26.63  | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.19/26.63  | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | |   (4357)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 177.19/26.63  | | | | | | | | | | | | | |           $i(all_57_30)
% 177.19/26.63  | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | ALPHA: (4357) implies:
% 177.19/26.63  | | | | | | | | | | | | | |   (4358)   ~ (all_57_30 = e1)
% 177.19/26.63  | | | | | | | | | | | | | |   (4359)  op(e1, e1) = all_57_30
% 177.19/26.63  | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 177.19/26.63  | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | Case 1:
% 177.19/26.63  | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | |   (4360)  all_54_5 = e3
% 177.19/26.63  | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | COMBINE_EQS: (283), (4360) imply:
% 177.19/26.63  | | | | | | | | | | | | | | |   (4361)  all_10_2 = e3
% 177.19/26.63  | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | REDUCE: (390), (4361) imply:
% 177.19/26.63  | | | | | | | | | | | | | | |   (4362)  $false
% 177.19/26.63  | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | CLOSE: (4362) is inconsistent.
% 177.19/26.63  | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | |   (4363)   ~ (all_54_5 = e3)
% 177.19/26.63  | | | | | | | | | | | | | | |   (4364)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 177.19/26.63  | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 177.19/26.63  | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | Case 1:
% 177.19/26.63  | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | |   (4365)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 177.19/26.63  | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 177.19/26.63  | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | BETA: splitting (4365) gives:
% 177.19/26.63  | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.63  | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | |   (4366)  all_57_28 = e1 & op(e3, e3) = e1
% 177.19/26.63  | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | ALPHA: (4366) implies:
% 177.19/26.63  | | | | | | | | | | | | | | | | |   (4367)  op(e3, e3) = e1
% 177.19/26.63  | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (4343), (4367), (function-axioms) are
% 177.19/26.63  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1525.
% 177.19/26.63  | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | |   (4368)  all_57_29 = e1 & op(e2, e2) = e1
% 177.19/26.63  | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | ALPHA: (4368) implies:
% 177.19/26.63  | | | | | | | | | | | | | | | | |   (4369)  op(e2, e2) = e1
% 177.19/26.63  | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (283), (392), (4345), (4364), (4369),
% 177.19/26.63  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.63  | | | | | | | | | | | | | | | | |            #1271.
% 177.19/26.63  | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | End of split
% 177.19/26.63  | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | |   (4370)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 177.19/26.63  | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 177.19/26.63  | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & $i(all_57_17))
% 177.19/26.63  | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | BETA: splitting (4370) gives:
% 177.19/26.63  | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.63  | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | |   (4371)  all_57_30 = e1 & op(e1, e1) = e1
% 177.19/26.63  | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | ALPHA: (4371) implies:
% 177.19/26.63  | | | | | | | | | | | | | | | | |   (4372)  op(e1, e1) = e1
% 177.19/26.63  | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (4372), (function-axioms) are
% 177.19/26.63  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 177.19/26.63  | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.63  | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | |   (4373)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 177.19/26.63  | | | | | | | | | | | | | | | | |             (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 177.19/26.63  | | | | | | | | | | | | | | | | |             $i(all_57_17))
% 177.19/26.63  | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | BETA: splitting (4373) gives:
% 177.19/26.63  | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.63  | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | |   (4374)  all_57_31 = e1 & op(e0, e0) = e1
% 177.19/26.63  | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | ALPHA: (4374) implies:
% 177.19/26.63  | | | | | | | | | | | | | | | | | |   (4375)  op(e0, e0) = e1
% 177.19/26.63  | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (4375), (function-axioms) are
% 177.19/26.63  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.19/26.63  | | | | | | | | | | | | | | | | | | 
% 177.19/26.63  | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | |   (4376)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 177.19/26.64  | | | | | | | | | | | | | | | | | |           $i(all_57_17)
% 177.19/26.64  | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | ALPHA: (4376) implies:
% 177.19/26.64  | | | | | | | | | | | | | | | | | |   (4377)  op(e3, e1) = all_57_17
% 177.19/26.64  | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | BETA: splitting (4364) gives:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |   (4378)  all_54_5 = e2
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (4378) imply:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |   (4379)  all_10_2 = e2
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | REDUCE: (369), (4379) imply:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |   (4380)   ~ (all_52_7 = e2)
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | REDUCE: (373), (4379) imply:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |   (4381)   ~ (all_52_13 = e2)
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | REDUCE: (390), (4379) imply:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |   (4382)   ~ (e3 = e2)
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | REDUCE: (45), (4379) imply:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |   (4383)  op(e2, e2) = e2
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (79),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (110), (112), (113), (117), (118), (120), (121),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (123), (125), (126), (128), (133), (134), (135),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (139), (140), (141), (143), (144), (145), (146),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (148), (149), (157), (158), (159), (160), (162),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (163), (164), (165), (167), (168), (169), (170),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (189), (190), (191), (193), (195), (196), (197),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (198), (200), (202), (203), (204), (206), (207),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (208), (209), (210), (211), (212), (213), (214),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (215), (216), (217), (218), (220), (223), (224),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (225), (227), (228), (229), (230), (231), (232),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (233), (234), (235), (236), (239), (241), (243),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (244), (254), (261), (262), (263), (265), (273),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (274), (275), (276), (284), (286), (287), (294),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (344), (351), (353), (357), (361), (375), (382),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (383), (384), (385), (386), (387), (389), (4329),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (4334), (4341), (4343), (4358), (4359), (4377),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (4380), (4381), (4383), (function-axioms) are
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #884.
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |   (4384)  all_54_5 = e1 | all_54_5 = e0
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (392), (4345), (4384) are inconsistent by
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            sub-proof #1353.
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.64  | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | End of split
% 177.19/26.64  | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | End of split
% 177.19/26.64  | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | End of split
% 177.19/26.64  | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | End of split
% 177.19/26.64  | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | End of split
% 177.19/26.64  | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | End of split
% 177.19/26.64  | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | End of split
% 177.19/26.64  | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | Case 2:
% 177.19/26.64  | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | |   (4385)  all_28_2 = e1
% 177.19/26.64  | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | COMBINE_EQS: (329), (4385) imply:
% 177.19/26.64  | | | | | | | | | | |   (4386)  all_10_2 = e1
% 177.19/26.64  | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | SIMP: (4386) implies:
% 177.19/26.64  | | | | | | | | | | |   (4387)  all_10_2 = e1
% 177.19/26.64  | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | REDUCE: (362), (4387) imply:
% 177.19/26.64  | | | | | | | | | | |   (4388)   ~ (all_52_1 = e1)
% 177.19/26.64  | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | REDUCE: (371), (4387) imply:
% 177.19/26.64  | | | | | | | | | | |   (4389)   ~ (all_52_9 = e1)
% 177.19/26.64  | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | REDUCE: (373), (4387) imply:
% 177.19/26.64  | | | | | | | | | | |   (4390)   ~ (all_52_13 = e1)
% 177.19/26.64  | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | REDUCE: (390), (4387) imply:
% 177.19/26.64  | | | | | | | | | | |   (4391)   ~ (e3 = e1)
% 177.19/26.64  | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | REDUCE: (45), (4387) imply:
% 177.19/26.64  | | | | | | | | | | |   (4392)  op(e2, e2) = e1
% 177.19/26.64  | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | BETA: splitting (76) gives:
% 177.19/26.64  | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | Case 1:
% 177.19/26.64  | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | |   (4393)   ~ (all_30_2 = e2)
% 177.19/26.64  | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | REDUCE: (343), (4393) imply:
% 177.19/26.64  | | | | | | | | | | | |   (4394)   ~ (all_4_2 = e2)
% 177.19/26.64  | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | BETA: splitting (204) gives:
% 177.19/26.64  | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | Case 1:
% 177.19/26.64  | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | |   (4395)  all_54_0 = e3
% 177.19/26.64  | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | COMBINE_EQS: (294), (4395) imply:
% 177.19/26.64  | | | | | | | | | | | | |   (4396)  all_4_2 = e3
% 177.19/26.64  | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | REDUCE: (351), (4396) imply:
% 177.19/26.64  | | | | | | | | | | | | |   (4397)   ~ (all_52_1 = e3)
% 177.19/26.64  | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | REDUCE: (361), (4396) imply:
% 177.19/26.64  | | | | | | | | | | | | |   (4398)   ~ (all_52_12 = e3)
% 177.19/26.64  | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | REDUCE: (36), (4396) imply:
% 177.19/26.64  | | | | | | | | | | | | |   (4399)  op(e3, e3) = e3
% 177.19/26.64  | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | BETA: splitting (236) gives:
% 177.19/26.64  | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | Case 1:
% 177.19/26.64  | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | |   (4400)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 177.19/26.64  | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 177.19/26.64  | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | BETA: splitting (4400) gives:
% 177.19/26.64  | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | Case 1:
% 177.19/26.64  | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | |   (4401)  all_56_0 = e3 & op(e3, e3) = e3
% 177.19/26.64  | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | ALPHA: (4401) implies:
% 177.19/26.64  | | | | | | | | | | | | | | |   (4402)  all_56_0 = e3
% 177.19/26.64  | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (79),
% 177.19/26.64  | | | | | | | | | | | | | | |            (110), (112), (113), (117), (118), (121), (135),
% 177.19/26.64  | | | | | | | | | | | | | | |            (145), (146), (157), (158), (159), (160), (162),
% 177.19/26.64  | | | | | | | | | | | | | | |            (163), (164), (165), (167), (168), (169), (170),
% 177.19/26.64  | | | | | | | | | | | | | | |            (189), (190), (193), (197), (198), (200), (201),
% 177.19/26.64  | | | | | | | | | | | | | | |            (204), (206), (207), (208), (209), (210), (211),
% 177.19/26.64  | | | | | | | | | | | | | | |            (212), (213), (214), (216), (217), (218), (220),
% 177.19/26.64  | | | | | | | | | | | | | | |            (221), (222), (223), (224), (225), (227), (228),
% 177.19/26.64  | | | | | | | | | | | | | | |            (229), (230), (231), (232), (233), (234), (235),
% 177.19/26.64  | | | | | | | | | | | | | | |            (236), (239), (240), (254), (261), (262), (265),
% 177.19/26.64  | | | | | | | | | | | | | | |            (275), (276), (284), (285), (294), (344), (353),
% 177.19/26.64  | | | | | | | | | | | | | | |            (355), (357), (375), (382), (383), (384), (385),
% 177.19/26.64  | | | | | | | | | | | | | | |            (386), (387), (389), (4329), (4331), (4332),
% 177.19/26.64  | | | | | | | | | | | | | | |            (4333), (4334), (4341), (4343), (4388), (4389),
% 177.19/26.64  | | | | | | | | | | | | | | |            (4390), (4392), (4397), (4398), (4399), (4402),
% 177.19/26.64  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.64  | | | | | | | | | | | | | | |            #720.
% 177.19/26.64  | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | Case 2:
% 177.19/26.64  | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | |   (4403)  all_56_1 = e3 & op(e3, e2) = e3
% 177.19/26.64  | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (135),
% 177.19/26.64  | | | | | | | | | | | | | | |            (158), (162), (167), (169), (170), (207), (210),
% 177.19/26.64  | | | | | | | | | | | | | | |            (211), (213), (214), (216), (217), (218), (220),
% 177.19/26.64  | | | | | | | | | | | | | | |            (221), (223), (224), (225), (227), (228), (229),
% 177.19/26.64  | | | | | | | | | | | | | | |            (230), (231), (232), (233), (234), (236), (386),
% 177.19/26.64  | | | | | | | | | | | | | | |            (387), (389), (4329), (4334), (4343), (4388),
% 177.19/26.64  | | | | | | | | | | | | | | |            (4392), (4399), (4403), (function-axioms) are
% 177.19/26.64  | | | | | | | | | | | | | | |            inconsistent by sub-proof #719.
% 177.19/26.64  | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | End of split
% 177.19/26.64  | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | Case 2:
% 177.19/26.64  | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | |   (4404)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 177.19/26.64  | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 177.19/26.64  | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | BETA: splitting (4404) gives:
% 177.19/26.64  | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | Case 1:
% 177.19/26.64  | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | |   (4405)  all_56_4 = e3 & op(e3, e1) = e3
% 177.19/26.64  | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | ALPHA: (4405) implies:
% 177.19/26.64  | | | | | | | | | | | | | | |   (4406)  all_56_4 = e3
% 177.19/26.64  | | | | | | | | | | | | | | |   (4407)  op(e3, e1) = e3
% 177.19/26.64  | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 177.19/26.64  | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64  | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | |   (4408)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 177.19/26.64  | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 177.19/26.64  | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | BETA: splitting (4408) gives:
% 177.19/26.64  | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64  | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | |   (4409)  all_56_4 = e1 & op(e3, e1) = e1
% 177.19/26.64  | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4406), (4409) are inconsistent by sub-proof
% 177.19/26.64  | | | | | | | | | | | | | | | | |            #731.
% 177.19/26.64  | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64  | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | |   (4410)  all_56_5 = e1 & op(e2, e1) = e1
% 177.19/26.64  | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | ALPHA: (4410) implies:
% 177.19/26.64  | | | | | | | | | | | | | | | | |   (4411)  op(e2, e1) = e1
% 177.19/26.64  | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4389), (4411), (function-axioms) are
% 177.19/26.64  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 177.19/26.64  | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | End of split
% 177.19/26.64  | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64  | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | |   (4412)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 177.19/26.64  | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 177.19/26.64  | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | BETA: splitting (4412) gives:
% 177.19/26.64  | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64  | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | |   (4413)  all_56_8 = e1 & op(e1, e1) = e1
% 177.19/26.64  | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | ALPHA: (4413) implies:
% 177.19/26.64  | | | | | | | | | | | | | | | | |   (4414)  op(e1, e1) = e1
% 177.19/26.64  | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (4414), (function-axioms) are
% 177.19/26.64  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 177.19/26.64  | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64  | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | |   (4415)  all_56_14 = e1 & op(e0, e1) = e1
% 177.19/26.64  | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | ALPHA: (4415) implies:
% 177.19/26.64  | | | | | | | | | | | | | | | | |   (4416)  op(e0, e1) = e1
% 177.19/26.64  | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 177.19/26.64  | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | |   (4417)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 177.19/26.64  | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 177.19/26.64  | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | BETA: splitting (4417) gives:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |   (4418)  all_56_0 = e1 & op(e3, e3) = e1
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | ALPHA: (4418) implies:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |   (4419)  op(e3, e3) = e1
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4399), (4419), (function-axioms) are
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |   (4420)  all_56_1 = e1 & op(e3, e2) = e1
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | ALPHA: (4420) implies:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |   (4421)  all_56_1 = e1
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (162), (169),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (225), (227), (228), (230), (234), (236), (386),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (4329), (4392), (4399), (4406), (4421),
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            #732.
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | End of split
% 177.19/26.64  | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | |   (4422)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 177.19/26.64  | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 177.19/26.64  | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | BETA: splitting (4422) gives:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |   (4423)  all_56_4 = e1 & op(e3, e1) = e1
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4406), (4423) are inconsistent by sub-proof
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |            #731.
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |   (4424)  all_56_9 = e1 & op(e3, e0) = e1
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | ALPHA: (4424) implies:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | |   (4425)  all_56_9 = e1
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | |   (4426)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4426) gives:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | |   (4427)  all_56_9 = e2 & op(e3, e0) = e2
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | ALPHA: (4427) implies:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | |   (4428)  all_56_9 = e2
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4425), (4428) are inconsistent by sub-proof
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | |            #1503.
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | |   (4429)  all_56_10 = e2 & op(e2, e0) = e2
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | ALPHA: (4429) implies:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | |   (4430)  all_56_10 = e2
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | |   (4431)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4431) gives:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | |   (4432)  all_56_4 = e0 & op(e3, e1) = e0
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4432) implies:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | |   (4433)  op(e3, e1) = e0
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (4407), (4433), (function-axioms) are
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1577.
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | |   (4434)  all_56_5 = e0 & op(e2, e1) = e0
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4434) implies:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | |   (4435)  all_56_5 = e0
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | |   (4436)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4436) gives:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (4437)  all_56_0 = e3 & op(e3, e3) = e3
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4437) implies:
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (4438)  all_56_0 = e3
% 177.19/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (79),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |            (110), (112), (113), (117), (118), (121), (135),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |            (145), (146), (157), (158), (159), (160), (162),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (164), (165), (167), (168), (169), (170),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |            (189), (190), (193), (197), (198), (200), (201),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |            (204), (206), (207), (208), (209), (210), (211),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |            (212), (213), (214), (216), (217), (218), (220),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (222), (223), (224), (225), (227), (228),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (230), (231), (232), (233), (234), (235),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |            (236), (239), (240), (254), (261), (262), (265),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |            (275), (276), (284), (285), (294), (344), (353),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |            (355), (357), (375), (382), (383), (384), (385),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (387), (389), (4329), (4331), (4332),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |            (4333), (4334), (4341), (4343), (4388), (4389),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |            (4390), (4392), (4397), (4398), (4399), (4438),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |            #720.
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (4439)  all_56_2 = e3 & op(e2, e3) = e3
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4439) implies:
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (4440)  all_56_2 = e3
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4441)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4441) gives:
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4442)  all_56_0 = e0 & op(e3, e3) = e0
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4442) implies:
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4443)  op(e3, e3) = e0
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (4443), (function-axioms) are
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4444)  all_56_1 = e0 & op(e3, e2) = e0
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4444) implies:
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4445)  all_56_1 = e0
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (207), (217), (218), (220), (221), (223),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (225), (227), (228), (229), (230), (232),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (234), (236), (386), (387), (4329), (4334),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4343), (4392), (4399), (4406), (4425), (4430),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4435), (4440), (4445), (function-axioms) are
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #717.
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4446)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (169), (4407), (4425), (4446),
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | |            #716.
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | |   (4447)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4447) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (4448)  all_56_6 = e3 & op(e1, e3) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4448) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (4449)  all_56_6 = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (4450)  op(e1, e3) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4451)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4451) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4452)  all_56_6 = e1 & op(e1, e3) = e1
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4449), (4452) are inconsistent by sub-proof
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1227.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4453)  all_56_7 = e1 & op(e1, e2) = e1
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4453) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4454)  all_56_7 = e1
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4455)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4455) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4456)  all_56_0 = e0 & op(e3, e3) = e0
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4456) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4457)  op(e3, e3) = e0
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (4457), (function-axioms) are
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4458)  all_56_1 = e0 & op(e3, e2) = e0
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4458) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4459)  all_56_1 = e0
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4460)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4460) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4461)  all_56_1 = e3 & op(e3, e2) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (135),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (158), (162), (167), (169), (170), (207), (210),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (211), (213), (214), (216), (217), (218), (220),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (223), (224), (225), (227), (228), (229),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (231), (232), (233), (234), (236), (386),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (389), (4329), (4334), (4343), (4388),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4392), (4399), (4461), (function-axioms) are
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #719.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4462)  all_56_3 = e3 & op(e2, e2) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4462) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4463)  op(e2, e2) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4392), (4463), (function-axioms) are
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4464)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4464) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4465)  all_56_7 = e3 & op(e1, e2) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4465) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4466)  all_56_7 = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4451) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4467)  all_56_6 = e1 & op(e1, e3) = e1
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4449), (4467) are inconsistent by sub-proof
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1227.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4453), (4466) are inconsistent by sub-proof
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1069.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4468)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4468) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4469)  all_56_8 = e1 & op(e1, e1) = e1
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4469) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4470)  op(e1, e1) = e1
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (4470), (function-axioms) are
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4471)  all_56_11 = e1 & op(e1, e0) = e1
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4471) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4472)  all_56_11 = e1
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (213), (215),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4329), (4449), (4450), (4466), (4472),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #960.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4473)  all_56_13 = e3 & op(e0, e2) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4473) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4474)  all_56_13 = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4475)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (4399), (4459), (4475),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #718.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4476)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4476) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4477)  all_56_4 = e2 & op(e3, e1) = e2
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4477) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4478)  all_56_4 = e2
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4406), (4478) imply:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4479)  e3 = e2
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4474), (4479) imply:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4480)  all_56_13 = e2
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (225), (228), (4392),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4454), (4480), (function-axioms) are inconsistent
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #759.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4481)  all_56_9 = e2 & op(e3, e0) = e2
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4481) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4482)  all_56_9 = e2
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4425), (4482) imply:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4483)  e2 = e1
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4430), (4483) imply:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4484)  all_56_10 = e1
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (207), (217), (218), (220), (221), (223),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (225), (227), (228), (229), (230), (232),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (234), (236), (386), (387), (4329), (4334),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4343), (4392), (4482), (4484), (function-axioms)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #766.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4485)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (169), (4407), (4425), (4485),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #716.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4486)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4486) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4487)  all_56_8 = e1 & op(e1, e1) = e1
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4487) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4488)  op(e1, e1) = e1
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (4488), (function-axioms) are
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4489)  all_56_11 = e1 & op(e1, e0) = e1
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4489) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4490)  all_56_11 = e1
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4491)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4491) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4492)  all_56_9 = e3 & op(e3, e0) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4492) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4493)  op(e3, e0) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4398), (4493), (function-axioms) are
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4494)  all_56_10 = e3 & op(e2, e0) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4494) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4495)  all_56_10 = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (39), (211), (389), (4425), (4490),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4495), (function-axioms) are inconsistent by
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #954.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4496)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4496) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4497)  all_56_11 = e3 & op(e1, e0) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4490), (4497) are inconsistent by sub-proof
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #715.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4498)  all_56_15 = e3 & op(e0, e0) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4498) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4499)  op(e0, e0) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (160),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (162), (165), (169), (206), (207), (208), (210),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (211), (213), (214), (216), (217), (218), (220),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (223), (224), (225), (227), (228), (229),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (232), (233), (234), (236), (239), (240),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (387), (389), (4329), (4331), (4334),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4343), (4389), (4392), (4399), (4499),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #721.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (4500)  all_56_12 = e3 & op(e0, e3) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4500) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (4501)  all_56_12 = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4502)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4502) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4503)  all_56_12 = e2 & op(e0, e3) = e2
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4501), (4503) are inconsistent by sub-proof
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #714.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4504)  all_56_13 = e2 & op(e0, e2) = e2
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4504) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4505)  all_56_13 = e2
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4506)  op(e0, e2) = e2
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4507)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (135),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (158), (162), (167), (169), (170), (207), (210),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (211), (213), (214), (216), (217), (218), (220),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (223), (224), (225), (227), (228), (229),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (231), (232), (233), (234), (236), (386),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (389), (4329), (4334), (4343), (4388),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4392), (4399), (4505), (4506), (4507),
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #741.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4508)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4508) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4509)  all_56_7 = e3 & op(e1, e2) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4509) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4510)  all_56_7 = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4511)  all_56_15 = e0 & op(e0, e0) = e0
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4511) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4512)  op(e0, e0) = e0
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4513)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4513) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4514)  all_56_9 = e3 & op(e3, e0) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4514) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4515)  op(e3, e0) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4398), (4515), (function-axioms) are
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4516)  all_56_10 = e3 & op(e2, e0) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4516) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4517)  all_56_10 = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4430), (4517) are inconsistent by sub-proof
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #958.
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4518)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4518) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4519)  all_56_11 = e3 & op(e1, e0) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4519) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4520)  all_56_11 = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4521)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4521) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4522)  all_56_1 = e0 & op(e3, e2) = e0
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4522) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4523)  all_56_1 = e0
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4524)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4524) gives:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4525)  all_56_2 = e3 & op(e2, e3) = e3
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4525) implies:
% 177.51/26.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4526)  all_56_2 = e3
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (207), (217), (218), (220), (221), (223),
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (225), (227), (228), (229), (230), (232),
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (234), (236), (386), (387), (4329), (4334),
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4343), (4392), (4399), (4406), (4425), (4430),
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4435), (4523), (4526), (function-axioms) are
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #717.
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4527)  all_56_3 = e3 & op(e2, e2) = e3
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4527) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4528)  op(e2, e2) = e3
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4392), (4528), (function-axioms) are
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4529)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4529) gives:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4530)  all_56_5 = e3 & op(e2, e1) = e3
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4435), (4530) are inconsistent by sub-proof
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1332.
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4531)  all_56_10 = e3 & op(e2, e0) = e3
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4531) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4532)  all_56_10 = e3
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4430), (4532) imply:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4533)  e3 = e2
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4533) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4534)  e3 = e2
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4520), (4534) imply:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4535)  all_56_11 = e2
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (216),
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4334), (4535), (function-axioms) are inconsistent
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #886.
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4536)  all_56_3 = e0 & op(e2, e2) = e0
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4536) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4537)  op(e2, e2) = e0
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4392), (4537), (function-axioms) are
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1310.
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4538)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4538) gives:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4539)  all_56_7 = e0 & op(e1, e2) = e0
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4539) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4540)  all_56_7 = e0
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4510), (4540) are inconsistent by sub-proof
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1464.
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4541)  all_56_13 = e0 & op(e0, e2) = e0
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4541) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4542)  all_56_13 = e0
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4505), (4542) are inconsistent by sub-proof
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1014.
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4543)  all_56_15 = e3 & op(e0, e0) = e3
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4543) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4544)  op(e0, e0) = e3
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4512), (4544), (function-axioms) are
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4545)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4545) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4546)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (4416), (4501), (4505), (4546),
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #712.
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4547)  all_56_13 = e3 & op(e0, e2) = e3
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4505), (4547) are inconsistent by sub-proof
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #760.
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4548)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (217),
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (220), (389), (4334), (4548),
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            #975.
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | |   (4549)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (4334), (4416), (4549),
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | |            #916.
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | |   (4550)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | |            (216), (389), (4334), (4550), (function-axioms)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #885.
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | |   (4551)  all_56_9 = e3 & op(e3, e0) = e3
% 177.51/26.66  | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | ALPHA: (4551) implies:
% 177.51/26.66  | | | | | | | | | | | | | | |   (4552)  op(e3, e0) = e3
% 177.51/26.66  | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | REF_CLOSE: (168), (4398), (4552), (function-axioms) are
% 177.51/26.66  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 177.51/26.66  | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | |   (4553)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 177.51/26.66  | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | REF_CLOSE: (294), (386), (4343), (4394), (4553) are
% 177.51/26.66  | | | | | | | | | | | | |            inconsistent by sub-proof #1354.
% 177.51/26.66  | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | |   (4554)  all_30_2 = e2
% 177.51/26.66  | | | | | | | | | | | |   (4555)  ( ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 &
% 177.51/26.66  | | | | | | | | | | | |             $i(all_30_0)) | ( ~ (all_30_1 = e0) & op(e2, e3)
% 177.51/26.66  | | | | | | | | | | | |             = all_30_1 & $i(all_30_1))
% 177.51/26.66  | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | COMBINE_EQS: (343), (4554) imply:
% 177.51/26.66  | | | | | | | | | | | |   (4556)  all_4_2 = e2
% 177.51/26.66  | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | REDUCE: (351), (4556) imply:
% 177.51/26.66  | | | | | | | | | | | |   (4557)   ~ (all_52_1 = e2)
% 177.51/26.66  | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | REDUCE: (36), (4556) imply:
% 177.51/26.66  | | | | | | | | | | | |   (4558)  op(e3, e3) = e2
% 177.51/26.66  | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | BETA: splitting (211) gives:
% 177.51/26.66  | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | Case 1:
% 177.51/26.66  | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | |   (4559)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 177.51/26.66  | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 177.51/26.66  | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | BETA: splitting (4559) gives:
% 177.51/26.66  | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | Case 1:
% 177.51/26.66  | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | |   (4560)  all_56_9 = e2 & op(e3, e0) = e2
% 177.51/26.66  | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | ALPHA: (4560) implies:
% 177.51/26.66  | | | | | | | | | | | | | |   (4561)  all_56_9 = e2
% 177.51/26.66  | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 177.51/26.66  | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | Case 1:
% 177.51/26.66  | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | |   (4562)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 177.51/26.66  | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 177.51/26.66  | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | BETA: splitting (4562) gives:
% 177.51/26.66  | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | |   (4563)  all_56_0 = e1 & op(e3, e3) = e1
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | ALPHA: (4563) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | |   (4564)  op(e3, e3) = e1
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4558), (4564), (function-axioms) are
% 177.51/26.66  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | |   (4565)  all_56_1 = e1 & op(e3, e2) = e1
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | ALPHA: (4565) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | |   (4566)  all_56_1 = e1
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (162), (169),
% 177.51/26.66  | | | | | | | | | | | | | | | |            (225), (227), (228), (230), (234), (236), (386),
% 177.51/26.66  | | | | | | | | | | | | | | | |            (4329), (4392), (4561), (4566), (function-axioms)
% 177.51/26.66  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #771.
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | |   (4567)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 177.51/26.66  | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 177.51/26.66  | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | BETA: splitting (4567) gives:
% 177.51/26.66  | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | |   (4568)  all_56_4 = e1 & op(e3, e1) = e1
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | ALPHA: (4568) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | |   (4569)  all_56_4 = e1
% 177.51/26.66  | | | | | | | | | | | | | | | |   (4570)  op(e3, e1) = e1
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (230), (236),
% 177.51/26.66  | | | | | | | | | | | | | | | |            (386), (4558), (4561), (4569), (4570),
% 177.51/26.66  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.51/26.66  | | | | | | | | | | | | | | | |            #1566.
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | |   (4571)  all_56_9 = e1 & op(e3, e0) = e1
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4561), (4571) are inconsistent by sub-proof
% 177.51/26.66  | | | | | | | | | | | | | | | |            #1565.
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | End of split
% 177.51/26.66  | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | |   (4572)  all_56_10 = e2 & op(e2, e0) = e2
% 177.51/26.66  | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | ALPHA: (4572) implies:
% 177.51/26.66  | | | | | | | | | | | | | |   (4573)  all_56_10 = e2
% 177.51/26.66  | | | | | | | | | | | | | |   (4574)  op(e2, e0) = e2
% 177.51/26.66  | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.51/26.66  | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | Case 1:
% 177.51/26.66  | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | |   (4575)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 177.51/26.66  | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 177.51/26.66  | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | BETA: splitting (4575) gives:
% 177.51/26.66  | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | |   (4576)  all_56_0 = e2 & op(e3, e3) = e2
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | ALPHA: (4576) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | |   (4577)  all_56_0 = e2
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.51/26.66  | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66  | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | |   (4578)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.51/26.66  | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 177.51/26.66  | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | BETA: splitting (4578) gives:
% 177.51/26.66  | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | |   (4579)  all_56_12 = e2 & op(e0, e3) = e2
% 177.51/26.66  | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.51/26.66  | | | | | | | | | | | | | | | | | |            (167), (169), (207), (211), (213), (214), (216),
% 177.51/26.66  | | | | | | | | | | | | | | | | | |            (217), (218), (220), (221), (223), (224), (225),
% 177.51/26.66  | | | | | | | | | | | | | | | | | |            (227), (228), (229), (230), (231), (232), (233),
% 177.51/26.66  | | | | | | | | | | | | | | | | | |            (234), (235), (236), (386), (387), (389), (4329),
% 177.51/26.66  | | | | | | | | | | | | | | | | | |            (4334), (4343), (4388), (4392), (4558), (4573),
% 177.51/26.66  | | | | | | | | | | | | | | | | | |            (4579), (function-axioms) are inconsistent by
% 177.51/26.66  | | | | | | | | | | | | | | | | | |            sub-proof #710.
% 177.51/26.66  | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | |   (4580)  all_56_13 = e2 & op(e0, e2) = e2
% 177.51/26.66  | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | ALPHA: (4580) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | | | |   (4581)  all_56_13 = e2
% 177.51/26.66  | | | | | | | | | | | | | | | | | |   (4582)  op(e0, e2) = e2
% 177.51/26.66  | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | BETA: splitting (4555) gives:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |   (4583)   ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 &
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |           $i(all_30_0)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4392), (4583), (function-axioms) are inconsistent
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |            by sub-proof #1292.
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |   (4584)   ~ (all_30_1 = e0) & op(e2, e3) = all_30_1 &
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |           $i(all_30_1)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | ALPHA: (4584) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |   (4585)   ~ (all_30_1 = e0)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |   (4586)  op(e2, e3) = all_30_1
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (4582) gives:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |   (4587)  all_52_7 = e2
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |              e2, e0, e2, simplifying with (164), (4574) gives:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |   (4588)  all_52_13 = e2
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |              all_30_1, e3, e2, simplifying with (167), (4586)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |              gives:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |   (4589)  all_52_1 = all_30_1
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (4589) imply:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |   (4590)  all_54_4 = all_30_1
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | REDUCE: (148), (4589) imply:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |   (4591)   ~ (all_52_3 = all_30_1)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | SIMP: (4591) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |   (4592)   ~ (all_52_3 = all_30_1)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | REDUCE: (146), (4589) imply:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |   (4593)   ~ (all_52_9 = all_30_1)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | SIMP: (4593) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |   (4594)   ~ (all_52_9 = all_30_1)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | REDUCE: (4557), (4589) imply:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |   (4595)   ~ (all_30_1 = e2)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | REDUCE: (4388), (4589) imply:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |   (4596)   ~ (all_30_1 = e1)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | REDUCE: (140), (4587) imply:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |   (4597)   ~ (all_52_3 = e2)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | REDUCE: (125), (4587) imply:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |   (4598)   ~ (all_52_11 = e2)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | REDUCE: (384), (4588) imply:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | |   (4599)   ~ (all_6_2 = e2)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | |   (4600)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (200), (4392), (4585), (4586), (4590),
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | |            (4595), (4596), (4600), (function-axioms) are
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1287.
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | |   (4601)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | BETA: splitting (4601) gives:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | |   (4602)  all_56_5 = e0 & op(e2, e1) = e0
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | ALPHA: (4602) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | |   (4603)  all_56_5 = e0
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | |   (4604)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4604) gives:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | |   (4605)  all_56_2 = e3 & op(e2, e3) = e3
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4605) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | |   (4606)  all_56_2 = e3
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | |   (4607)  all_54_4 = e3
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4590), (4607) imply:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | |   (4608)  all_30_1 = e3
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4608) implies:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | |   (4609)  all_30_1 = e3
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4592), (4609) imply:
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | |   (4610)   ~ (all_52_3 = e3)
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.66  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4594), (4609) imply:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | |   (4611)   ~ (all_52_9 = e3)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4586), (4609) imply:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | |   (4612)  op(e2, e3) = e3
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (4613)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (4392), (4613),
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | |            #1301.
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (4614)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_21 & $i(all_57_21))
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4614) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4615)  all_57_30 = e0 & op(e1, e1) = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4615) implies:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4616)  op(e1, e1) = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4334), (4616), (function-axioms) are
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4617)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_21))
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4617) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4618)  all_57_31 = e0 & op(e0, e0) = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4618) implies:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4619)  all_57_31 = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4341), (4619) imply:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4620)  all_6_2 = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (4620) imply:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4621)   ~ (all_52_3 = e0)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (4620) imply:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4622)   ~ (all_52_14 = e0)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (4620) imply:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4623)   ~ (e2 = e0)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (4620) imply:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4624)   ~ (e1 = e0)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (4620) imply:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4625)  op(e0, e0) = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4626)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (4612), (4626),
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1595.
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4627)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4627) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4628)  all_56_6 = e0 & op(e1, e3) = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4628) implies:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4629)  all_56_6 = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4630)  op(e1, e3) = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4631)  all_54_6 = e3
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (4611), (4631) are inconsistent by
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1242.
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4632)   ~ (all_54_6 = e3)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4633)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4633) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4634)  all_54_6 = e2
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (4331), (4634) are inconsistent by
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1241.
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4635)   ~ (all_54_6 = e2)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4636)  all_54_6 = e1 | all_54_6 = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4637)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4637) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4638)  all_56_6 = e1 & op(e1, e3) = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4638) implies:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4639)  op(e1, e3) = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4630), (4639), (function-axioms) are
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1251.
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4640)  all_56_7 = e1 & op(e1, e2) = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4640) implies:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4641)  all_56_7 = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (225), (228), (4392),
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4581), (4641), (function-axioms) are inconsistent
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #759.
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4642)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4642) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4643)  all_56_8 = e1 & op(e1, e1) = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4643) implies:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4644)  op(e1, e1) = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (4644), (function-axioms) are
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4645)  all_56_11 = e1 & op(e1, e0) = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4645) implies:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4646)  all_56_11 = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4636) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4647)  all_54_6 = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (4647) imply:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4648)  all_52_9 = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4389), (4648) imply:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4649)  $false
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4649) is inconsistent.
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4650)  all_54_6 = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (4650) imply:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4651)  all_52_9 = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (4651) imply:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4652)   ~ (all_52_8 = e0)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (4651) imply:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4653)   ~ (all_52_11 = e0)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4653) implies:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4654)   ~ (all_52_11 = e0)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4611), (4651) imply:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4655)   ~ (e3 = e0)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4656)  all_56_15 = e0 & op(e0, e0) = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4656) implies:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4657)  all_56_15 = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4658)  all_54_12 = e3
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (4610), (4658) are inconsistent by
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1265.
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4659)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4660)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4660) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4661)  all_56_0 = e0 & op(e3, e3) = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4661) implies:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4662)  op(e3, e3) = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (4662), (function-axioms) are
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4663)  all_56_1 = e0 & op(e3, e2) = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4663) implies:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4664)  all_56_1 = e0
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4665)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4665) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4666)  all_56_9 = e3 & op(e3, e0) = e3
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4666) implies:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4667)  all_56_9 = e3
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4668)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (4388), (4558), (4668),
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #711.
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4669)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4669) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4670)  all_56_6 = e1 & op(e1, e3) = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4670) implies:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4671)  op(e1, e3) = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4630), (4671), (function-axioms) are
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1251.
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4672)  all_56_12 = e1 & op(e0, e3) = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4672) implies:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4673)  all_56_12 = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4674)  op(e0, e3) = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4675)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4675) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4676)  all_56_0 = e1 & op(e3, e3) = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4676) implies:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4677)  op(e3, e3) = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4558), (4677), (function-axioms) are
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4678)  all_56_1 = e1 & op(e3, e2) = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4664), (4678) are inconsistent by sub-proof
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1169.
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4679)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4679) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4680)  all_56_4 = e1 & op(e3, e1) = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4680) implies:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4681)  all_56_4 = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4682)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4682) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4683)  all_56_4 = e3 & op(e3, e1) = e3
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4683) implies:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4684)  all_56_4 = e3
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4681), (4684) imply:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4685)  e3 = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4606), (4685) imply:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4686)  all_56_2 = e1
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (159), (229), (235),
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (4577), (4674), (4686), (function-axioms)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1526.
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4687)  all_56_5 = e3 & op(e2, e1) = e3
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4687) implies:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4688)  op(e2, e1) = e3
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4611), (4688), (function-axioms) are
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4689)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4689) gives:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.51/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4690)  all_56_8 = e3 & op(e1, e1) = e3
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4690) implies:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4691)  op(e1, e1) = e3
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4334), (4691), (function-axioms) are
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4692)  all_56_14 = e3 & op(e0, e1) = e3
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4692) implies:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4693)  all_56_14 = e3
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4659) gives:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4694)  all_54_12 = e2
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (4597), (4694) are inconsistent by
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #709.
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4695)   ~ (all_54_12 = e2)
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4696)  all_54_12 = e1 | all_54_12 = e0
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4696) gives:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4697)  all_54_12 = e1
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (4697) imply:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4698)  all_52_3 = e1
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4698) implies:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4699)  all_52_3 = e1
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (4699) imply:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4700)   ~ (all_52_2 = e1)
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (4699) imply:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4701)   ~ (all_52_11 = e1)
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4701) implies:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4702)   ~ (all_52_11 = e1)
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4597), (4699) imply:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4703)   ~ (e2 = e1)
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4704)  all_54_14 = e3
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (4704) imply:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4705)  all_52_11 = e3
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4705) implies:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4706)  all_52_11 = e3
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (4706) imply:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4707)   ~ (all_52_8 = e3)
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (4706) imply:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4708)  op(e0, e1) = e3
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4709)  all_54_2 = e3
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (4709) imply:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4710)  all_52_8 = e3
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4707), (4710) imply:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4711)  $false
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4711) is inconsistent.
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4712)   ~ (all_54_2 = e3)
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4713)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4714)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4714) gives:
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4715)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (159), (163), (170), (204), (294),
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (353), (355), (357), (4630), (4674), (4715),
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1283.
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4716)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (135), (158), (159), (170),
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (4657), (4673), (4674), (4693), (4716),
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1339.
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4717)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4717) gives:
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4718)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4612), (4718), (function-axioms) are inconsistent
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1281.
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4719)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4719) gives:
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4720)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4720) implies:
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4721)  op(e1, e3) = e1
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4700), (4721), (function-axioms) are
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1597.
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4722)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4722) gives:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4723)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4723) implies:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4724)  op(e2, e1) = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4389), (4724), (function-axioms) are
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4725)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4725) implies:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4726)  op(e0, e1) = all_57_27
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4727)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4727) gives:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4728)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22) = all_57_8 & op(e1, all_57_23) =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4728) implies:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4729)  all_57_27 = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4726), (4729) imply:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4730)  op(e0, e1) = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4713) gives:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4731)  all_54_2 = e2
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (4731) imply:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4732)  all_52_8 = e2
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4330), (4732) imply:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4733)  $false
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4733) is inconsistent.
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4734)  all_54_2 = e1 | all_54_2 = e0
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4734) gives:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4735)  all_54_2 = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (4735) imply:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4736)  all_52_8 = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e1,
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (4708), (4730) gives:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4737)  e3 = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4606), (4737) imply:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4738)  all_56_2 = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (159), (229), (235),
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (4577), (4674), (4738), (function-axioms)
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1526.
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4739)  all_54_2 = e0
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (4739) imply:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4740)  all_52_8 = e0
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4652), (4740) imply:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4741)  $false
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4741) is inconsistent.
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4742)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25) = all_57_12 & op(e0, all_57_26) =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & all_57_25 = e0 & op(e3, e0) = e0) |
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0))
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4619), (4742), (function-axioms) are inconsistent
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1584.
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4743)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (4332), (4654), (4702), (4743) are
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1233.
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4744)  all_54_12 = e0
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (4621), (4744) are inconsistent by
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #708.
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4745)  all_56_9 = e1 & op(e3, e0) = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4745) implies:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4746)  all_56_9 = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4667), (4746) imply:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4747)  e3 = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4606), (4747) imply:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4748)  all_56_2 = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (159), (229), (235),
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (4577), (4674), (4748), (function-axioms)
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1526.
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4749)  all_56_10 = e3 & op(e2, e0) = e3
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4749) implies:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4750)  all_56_10 = e3
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4573), (4750) are inconsistent by sub-proof
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #958.
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4751)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4751) gives:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4752)  all_56_11 = e3 & op(e1, e0) = e3
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4752) implies:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4753)  all_56_11 = e3
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4646), (4753) are inconsistent by sub-proof
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1209.
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4754)  all_56_15 = e3 & op(e0, e0) = e3
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4754) implies:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4755)  op(e0, e0) = e3
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4625), (4755), (function-axioms) are
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4756)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4756) gives:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4757)  all_56_4 = e0 & op(e3, e1) = e0
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4757) implies:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4758)  op(e3, e1) = e0
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4759)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (4388), (4558), (4759),
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #711.
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4760)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4760) gives:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4761)  all_56_6 = e1 & op(e1, e3) = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4761) implies:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4762)  op(e1, e3) = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4630), (4762), (function-axioms) are
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1251.
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4763)  all_56_12 = e1 & op(e0, e3) = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4763) implies:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4764)  op(e0, e3) = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4765)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (4389), (4758), (4765),
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #707.
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4766)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4766) gives:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4767)  all_56_8 = e1 & op(e1, e1) = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4767) implies:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4768)  op(e1, e1) = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (4629),
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4646), (4768), (function-axioms) are inconsistent
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #823.
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4769)  all_56_14 = e1 & op(e0, e1) = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4769) implies:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4770)  all_56_14 = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (159), (209), (229),
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (386), (4577), (4581), (4606), (4625),
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4764), (4770), (function-axioms) are inconsistent
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #705.
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4771)  all_56_9 = e0 & op(e3, e0) = e0
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4771) implies:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4772)  op(e3, e0) = e0
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4773)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (4388), (4558), (4773),
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #711.
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4774)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 177.62/26.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4774) gives:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4775)  all_56_6 = e1 & op(e1, e3) = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4775) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4776)  op(e1, e3) = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4630), (4776), (function-axioms) are
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1251.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4777)  all_56_12 = e1 & op(e0, e3) = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4777) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4778)  op(e0, e3) = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (159), (212), (229),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (386), (4573), (4577), (4606), (4625),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4646), (4772), (4778), (function-axioms) are
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #704.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4779)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4779) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4780)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4781)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0)
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4780) gives:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4782)  all_56_12 = e0 & op(e0, e3) = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4782) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4783)  all_56_12 = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4784)  op(e0, e3) = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (231), (233),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (4343), (4629), (4630), (4783), (4784),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #703.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4785)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4785) gives:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4786)  all_56_13 = e0 & op(e0, e2) = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4786) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4787)  all_56_13 = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4581), (4787) are inconsistent by sub-proof
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1014.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4788)  all_56_14 = e0 & op(e0, e1) = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4788) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4789)  op(e0, e1) = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4790)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4790) gives:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4791)  all_56_12 = e1 & op(e0, e3) = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4791) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4792)  op(e0, e3) = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4781) gives:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4793)  all_56_9 = e0 & op(e3, e0) = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4793) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4794)  op(e3, e0) = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (159), (212), (229),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (386), (4573), (4577), (4606), (4625),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4646), (4792), (4794), (function-axioms) are
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #704.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4795)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4795) gives:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4796)  all_56_10 = e0 & op(e2, e0) = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4573), (4796) are inconsistent by sub-proof
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1160.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4797)  all_56_11 = e0 & op(e1, e0) = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4797) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4798)  op(e1, e0) = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4622), (4798), (function-axioms) are
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1318.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4799)  all_56_13 = e1 & op(e0, e2) = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4799) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4800)  all_56_13 = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4581), (4800) imply:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4801)  e2 = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4801) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4802)  e2 = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4573), (4802) imply:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4803)  all_56_10 = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (207), (211), (213), (214), (216), (217),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (220), (221), (223), (224), (225), (227),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (230), (232), (233), (234), (236),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (387), (389), (4329), (4334), (4343),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4392), (4803), (function-axioms) are inconsistent
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #765.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4804)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (387), (4789), (4804),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #702.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4805)  all_56_12 = e0 & op(e0, e3) = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4805) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4806)  op(e0, e3) = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4807)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4807) gives:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4808)  all_56_12 = e1 & op(e0, e3) = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4808) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4809)  op(e0, e3) = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4806), (4809), (function-axioms) are
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1589.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4810)  all_56_13 = e1 & op(e0, e2) = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4810) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4811)  all_56_13 = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4581), (4811) imply:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4812)  e2 = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4573), (4812) imply:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4813)  all_56_10 = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (207), (211), (213), (214), (216), (217),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (220), (221), (223), (224), (225), (227),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (230), (232), (233), (234), (236),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (387), (389), (4329), (4334), (4343),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4392), (4813), (function-axioms) are inconsistent
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #765.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4814)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4814) gives:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4815)  all_56_14 = e1 & op(e0, e1) = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4815) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4816)  all_56_14 = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4817)  all_54_12 = e3
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (4610), (4817) are inconsistent by
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1265.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4818)   ~ (all_54_12 = e3)
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4819)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4819) gives:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4820)  all_54_12 = e2
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (4597), (4820) are inconsistent by
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #709.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4821)  all_54_12 = e1 | all_54_12 = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4821) gives:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4822)  all_54_12 = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (4822) imply:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4823)  all_52_3 = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4823) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4824)  all_52_3 = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (4824) imply:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4825)  op(e0, e3) = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (159), (209), (229),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (386), (4577), (4581), (4606), (4625),
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4816), (4825), (function-axioms) are inconsistent
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #705.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4826)  all_54_12 = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (4621), (4826) are inconsistent by
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #708.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4827)  all_56_15 = e1 & op(e0, e0) = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4827) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4828)  op(e0, e0) = e1
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (4828), (function-axioms) are
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4829)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_21)
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4829) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4830)   ~ (all_57_21 = e2)
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4831)  op(e2, e0) = all_57_21
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4574), (4830), (4831), (function-axioms) are
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1388.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | |   (4832)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4585), (4590), (4595), (4596), (4832) are
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1289.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | |   (4833)  all_56_3 = e3 & op(e2, e2) = e3
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4833) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | |   (4834)  op(e2, e2) = e3
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4392), (4834), (function-axioms) are
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | |   (4835)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4835) gives:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | |   (4836)  all_56_5 = e3 & op(e2, e1) = e3
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4836) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | |   (4837)  all_56_5 = e3
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4603), (4837) are inconsistent by sub-proof
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | |            #1410.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | |   (4838)  all_56_10 = e3 & op(e2, e0) = e3
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4573), (4838) are inconsistent by sub-proof
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | |            #1331.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | |   (4839)  all_56_10 = e0 & op(e2, e0) = e0
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4573), (4839) are inconsistent by sub-proof
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | |            #1160.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | |   (4840)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.62/26.70  | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 177.62/26.70  | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (217),
% 177.62/26.70  | | | | | | | | | | | | | | | | |            (218), (220), (389), (4334), (4840),
% 177.62/26.70  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.62/26.70  | | | | | | | | | | | | | | | | |            #975.
% 177.62/26.70  | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | |   (4841)  all_56_2 = e2 & op(e2, e3) = e2
% 177.62/26.70  | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | ALPHA: (4841) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | |   (4842)  all_56_2 = e2
% 177.62/26.70  | | | | | | | | | | | | | | | |   (4843)  op(e2, e3) = e2
% 177.62/26.70  | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (221), (224), (4392),
% 177.62/26.70  | | | | | | | | | | | | | | | |            (4573), (4842), (4843), (function-axioms) are
% 177.62/26.70  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #734.
% 177.62/26.70  | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | End of split
% 177.62/26.70  | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | |   (4844)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 177.62/26.70  | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 177.62/26.70  | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | BETA: splitting (4844) gives:
% 177.62/26.70  | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70  | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | |   (4845)  all_56_6 = e2 & op(e1, e3) = e2
% 177.62/26.70  | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | ALPHA: (4845) implies:
% 177.62/26.70  | | | | | | | | | | | | | | | |   (4846)  all_56_6 = e2
% 177.62/26.70  | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.62/26.70  | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70  | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | |   (4847)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.62/26.70  | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 177.62/26.70  | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | BETA: splitting (4847) gives:
% 177.62/26.70  | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | |   (4848)  all_56_12 = e2 & op(e0, e3) = e2
% 177.62/26.70  | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.62/26.70  | | | | | | | | | | | | | | | | | |            (167), (169), (207), (211), (213), (214), (216),
% 177.62/26.70  | | | | | | | | | | | | | | | | | |            (217), (218), (220), (221), (223), (224), (225),
% 177.62/26.70  | | | | | | | | | | | | | | | | | |            (227), (228), (229), (230), (231), (232), (233),
% 177.62/26.70  | | | | | | | | | | | | | | | | | |            (234), (235), (236), (386), (387), (389), (4329),
% 177.62/26.70  | | | | | | | | | | | | | | | | | |            (4334), (4343), (4388), (4392), (4558), (4573),
% 177.62/26.70  | | | | | | | | | | | | | | | | | |            (4848), (function-axioms) are inconsistent by
% 177.62/26.70  | | | | | | | | | | | | | | | | | |            sub-proof #710.
% 177.62/26.70  | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.70  | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | |   (4849)  all_56_13 = e2 & op(e0, e2) = e2
% 177.62/26.70  | | | | | | | | | | | | | | | | | | 
% 177.62/26.70  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.62/26.70  | | | | | | | | | | | | | | | | | |            (169), (207), (211), (213), (214), (216), (217),
% 177.62/26.70  | | | | | | | | | | | | | | | | | |            (218), (220), (221), (223), (224), (225), (227),
% 177.62/26.70  | | | | | | | | | | | | | | | | | |            (228), (229), (230), (232), (233), (234), (236),
% 177.62/26.70  | | | | | | | | | | | | | | | | | |            (386), (387), (389), (4329), (4334), (4343),
% 177.62/26.70  | | | | | | | | | | | | | | | | | |            (4392), (4573), (4846), (4849), (function-axioms)
% 177.62/26.70  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #728.
% 177.62/26.71  | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | End of split
% 177.62/26.71  | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.71  | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | |   (4850)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.62/26.71  | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 177.62/26.71  | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (217),
% 177.62/26.71  | | | | | | | | | | | | | | | | |            (218), (220), (389), (4334), (4850),
% 177.62/26.71  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.62/26.71  | | | | | | | | | | | | | | | | |            #975.
% 177.62/26.71  | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | End of split
% 177.62/26.71  | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | Case 2:
% 177.62/26.71  | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | |   (4851)  all_56_12 = e2 & op(e0, e3) = e2
% 177.62/26.71  | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.62/26.71  | | | | | | | | | | | | | | | |            (167), (169), (207), (211), (213), (214), (216),
% 177.62/26.71  | | | | | | | | | | | | | | | |            (217), (218), (220), (221), (223), (224), (225),
% 177.62/26.71  | | | | | | | | | | | | | | | |            (227), (228), (229), (230), (231), (232), (233),
% 177.62/26.71  | | | | | | | | | | | | | | | |            (234), (235), (236), (386), (387), (389), (4329),
% 177.62/26.71  | | | | | | | | | | | | | | | |            (4334), (4343), (4388), (4392), (4558), (4573),
% 177.62/26.71  | | | | | | | | | | | | | | | |            (4851), (function-axioms) are inconsistent by
% 177.62/26.71  | | | | | | | | | | | | | | | |            sub-proof #710.
% 177.62/26.71  | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | End of split
% 177.62/26.71  | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | End of split
% 177.62/26.71  | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | End of split
% 177.62/26.71  | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | Case 2:
% 177.62/26.71  | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | |   (4852)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 177.62/26.71  | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 177.62/26.71  | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 177.62/26.71  | | | | | | | | | | | | |            (216), (389), (4334), (4852), (function-axioms)
% 177.62/26.71  | | | | | | | | | | | | |            are inconsistent by sub-proof #885.
% 177.62/26.71  | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | End of split
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | End of split
% 177.62/26.71  | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | End of split
% 177.62/26.71  | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | Case 2:
% 177.62/26.71  | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | |   (4853)  all_18_2 = e1
% 177.62/26.71  | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | COMBINE_EQS: (342), (4853) imply:
% 177.62/26.71  | | | | | | | | | |   (4854)  all_4_2 = e1
% 177.62/26.71  | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | SIMP: (4854) implies:
% 177.62/26.71  | | | | | | | | | |   (4855)  all_4_2 = e1
% 177.62/26.71  | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | COMBINE_EQS: (346), (4855) imply:
% 177.62/26.71  | | | | | | | | | |   (4856)  all_40_2 = e1
% 177.62/26.71  | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | REDUCE: (351), (4855) imply:
% 177.62/26.71  | | | | | | | | | |   (4857)   ~ (all_52_1 = e1)
% 177.62/26.71  | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | REDUCE: (353), (4855) imply:
% 177.62/26.71  | | | | | | | | | |   (4858)   ~ (all_52_2 = e1)
% 177.62/26.71  | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | REDUCE: (355), (4855) imply:
% 177.62/26.71  | | | | | | | | | |   (4859)   ~ (all_52_3 = e1)
% 177.62/26.71  | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | REDUCE: (357), (4855) imply:
% 177.62/26.71  | | | | | | | | | |   (4860)   ~ (all_52_4 = e1)
% 177.62/26.71  | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | REDUCE: (359), (4855) imply:
% 177.62/26.71  | | | | | | | | | |   (4861)   ~ (all_52_8 = e1)
% 177.62/26.71  | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | REDUCE: (361), (4855) imply:
% 177.62/26.71  | | | | | | | | | |   (4862)   ~ (all_52_12 = e1)
% 177.62/26.71  | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | REDUCE: (36), (4855) imply:
% 177.62/26.71  | | | | | | | | | |   (4863)  op(e3, e3) = e1
% 177.62/26.71  | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | BETA: splitting (91) gives:
% 177.62/26.71  | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | Case 1:
% 177.62/26.71  | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | |   (4864)   ~ (all_40_2 = e1)
% 177.62/26.71  | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | REDUCE: (4856), (4864) imply:
% 177.62/26.71  | | | | | | | | | | |   (4865)  $false
% 177.62/26.71  | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | CLOSE: (4865) is inconsistent.
% 177.62/26.71  | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | Case 2:
% 177.62/26.71  | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | |   (4866)  ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 177.62/26.71  | | | | | | | | | | |             $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3)
% 177.62/26.71  | | | | | | | | | | |             = all_40_1 & $i(all_40_1))
% 177.62/26.71  | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | BETA: splitting (4866) gives:
% 177.62/26.71  | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | Case 1:
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | |   (4867)   ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 177.62/26.71  | | | | | | | | | | | |           $i(all_40_0)
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | REF_CLOSE: (4334), (4867), (function-axioms) are inconsistent
% 177.62/26.71  | | | | | | | | | | | |            by sub-proof #701.
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | Case 2:
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | |   (4868)   ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 177.62/26.71  | | | | | | | | | | | |           $i(all_40_1)
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | ALPHA: (4868) implies:
% 177.62/26.71  | | | | | | | | | | | |   (4869)   ~ (all_40_1 = e0)
% 177.62/26.71  | | | | | | | | | | | |   (4870)  op(e1, e3) = all_40_1
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 177.62/26.71  | | | | | | | | | | | |              all_40_1, e3, e1, simplifying with (163), (4870)
% 177.62/26.71  | | | | | | | | | | | |              gives:
% 177.62/26.71  | | | | | | | | | | | |   (4871)  all_52_2 = all_40_1
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | COMBINE_EQS: (274), (4871) imply:
% 177.62/26.71  | | | | | | | | | | | |   (4872)  all_54_8 = all_40_1
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | REDUCE: (149), (4871) imply:
% 177.62/26.71  | | | | | | | | | | | |   (4873)   ~ (all_52_1 = all_40_1)
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | REDUCE: (144), (4871) imply:
% 177.62/26.71  | | | | | | | | | | | |   (4874)   ~ (all_52_3 = all_40_1)
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | SIMP: (4874) implies:
% 177.62/26.71  | | | | | | | | | | | |   (4875)   ~ (all_52_3 = all_40_1)
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | REDUCE: (143), (4871) imply:
% 177.62/26.71  | | | | | | | | | | | |   (4876)   ~ (all_52_6 = all_40_1)
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | SIMP: (4876) implies:
% 177.62/26.71  | | | | | | | | | | | |   (4877)   ~ (all_52_6 = all_40_1)
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | REDUCE: (141), (4871) imply:
% 177.62/26.71  | | | | | | | | | | | |   (4878)   ~ (all_52_14 = all_40_1)
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | SIMP: (4878) implies:
% 177.62/26.71  | | | | | | | | | | | |   (4879)   ~ (all_52_14 = all_40_1)
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | REDUCE: (4328), (4871) imply:
% 177.62/26.71  | | | | | | | | | | | |   (4880)   ~ (all_40_1 = e2)
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | REDUCE: (4858), (4871) imply:
% 177.62/26.71  | | | | | | | | | | | |   (4881)   ~ (all_40_1 = e1)
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | BETA: splitting (196) gives:
% 177.62/26.71  | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | Case 1:
% 177.62/26.71  | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | |   (4882)  all_54_8 = e3
% 177.62/26.71  | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | COMBINE_EQS: (4872), (4882) imply:
% 177.62/26.71  | | | | | | | | | | | | |   (4883)  all_40_1 = e3
% 177.62/26.71  | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | REDUCE: (4873), (4883) imply:
% 177.62/26.71  | | | | | | | | | | | | |   (4884)   ~ (all_52_1 = e3)
% 177.62/26.71  | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | REDUCE: (4875), (4883) imply:
% 177.62/26.71  | | | | | | | | | | | | |   (4885)   ~ (all_52_3 = e3)
% 177.62/26.71  | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | REDUCE: (4877), (4883) imply:
% 177.62/26.71  | | | | | | | | | | | | |   (4886)   ~ (all_52_6 = e3)
% 177.62/26.71  | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | REDUCE: (4879), (4883) imply:
% 177.62/26.71  | | | | | | | | | | | | |   (4887)   ~ (all_52_14 = e3)
% 177.62/26.71  | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | BETA: splitting (235) gives:
% 177.62/26.71  | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | Case 1:
% 177.62/26.71  | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | |   (4888)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 177.62/26.71  | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 177.62/26.71  | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | BETA: splitting (4888) gives:
% 177.62/26.71  | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | Case 1:
% 177.62/26.71  | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | |   (4889)  all_56_0 = e3 & op(e3, e3) = e3
% 177.62/26.71  | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | ALPHA: (4889) implies:
% 177.62/26.71  | | | | | | | | | | | | | | |   (4890)  op(e3, e3) = e3
% 177.62/26.71  | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | REF_CLOSE: (8), (4863), (4890), (function-axioms) are
% 177.62/26.71  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 177.62/26.71  | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | Case 2:
% 177.62/26.71  | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | |   (4891)  all_56_2 = e3 & op(e2, e3) = e3
% 177.62/26.71  | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | ALPHA: (4891) implies:
% 177.62/26.71  | | | | | | | | | | | | | | |   (4892)  all_56_2 = e3
% 177.62/26.71  | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (213),
% 177.62/26.71  | | | | | | | | | | | | | | |            (214), (216), (229), (233), (386), (4334), (4863),
% 177.62/26.71  | | | | | | | | | | | | | | |            (4869), (4870), (4892), (function-axioms) are
% 177.62/26.71  | | | | | | | | | | | | | | |            inconsistent by sub-proof #693.
% 177.62/26.71  | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | End of split
% 177.62/26.71  | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | Case 2:
% 177.62/26.71  | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | |   (4893)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 177.62/26.71  | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 177.62/26.71  | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | BETA: splitting (4893) gives:
% 177.62/26.71  | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | Case 1:
% 177.62/26.71  | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | |   (4894)  all_56_6 = e3 & op(e1, e3) = e3
% 177.62/26.71  | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | ALPHA: (4894) implies:
% 177.62/26.71  | | | | | | | | | | | | | | |   (4895)  all_56_6 = e3
% 177.62/26.71  | | | | | | | | | | | | | | |   (4896)  op(e1, e3) = e3
% 177.62/26.71  | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 177.62/26.71  | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71  | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | |   (4897)   ~ (all_28_2 = e1)
% 177.62/26.71  | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | REDUCE: (329), (4897) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | |   (4898)   ~ (all_10_2 = e1)
% 177.62/26.71  | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 177.62/26.71  | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71  | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | |   (4899)  all_54_5 = e3
% 177.62/26.71  | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (4899) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | |   (4900)  all_10_2 = e3
% 177.62/26.71  | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | REDUCE: (390), (4900) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | |   (4901)  $false
% 177.62/26.71  | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | CLOSE: (4901) is inconsistent.
% 177.62/26.71  | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.71  | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | |   (4902)   ~ (all_54_5 = e3)
% 177.62/26.71  | | | | | | | | | | | | | | | | |   (4903)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 177.62/26.71  | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | BETA: splitting (4903) gives:
% 177.62/26.71  | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | |   (4904)  all_54_5 = e2
% 177.62/26.71  | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (4904) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | |   (4905)  all_10_2 = e2
% 177.62/26.71  | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | REDUCE: (362), (4905) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | |   (4906)   ~ (all_52_1 = e2)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | REDUCE: (365), (4905) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | |   (4907)   ~ (all_52_4 = e2)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | REDUCE: (369), (4905) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | |   (4908)   ~ (all_52_7 = e2)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | REDUCE: (373), (4905) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | |   (4909)   ~ (all_52_13 = e2)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | REDUCE: (390), (4905) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | |   (4910)   ~ (e3 = e2)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | REDUCE: (45), (4905) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | |   (4911)  op(e2, e2) = e2
% 177.62/26.71  | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | |   (4912)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 177.62/26.71  | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | BETA: splitting (4912) gives:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | |   (4913)  all_56_9 = e2 & op(e3, e0) = e2
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | ALPHA: (4913) implies:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | |   (4914)  all_56_9 = e2
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | |   (4915)  op(e3, e0) = e2
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | |   (4916)  all_54_4 = e3
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (4916) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | |   (4917)  all_52_1 = e3
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | REDUCE: (4884), (4917) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | |   (4918)  $false
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | CLOSE: (4918) is inconsistent.
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | |   (4919)   ~ (all_54_4 = e3)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | |   (4920)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4920) gives:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | |   (4921)  all_54_4 = e2
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (4921) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | |   (4922)  all_52_1 = e2
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4906), (4922) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | |   (4923)  $false
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4923) is inconsistent.
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | |   (4924)   ~ (all_54_4 = e2)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | |   (4925)  all_54_4 = e1 | all_54_4 = e0
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | |   (4926)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4926) gives:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | |   (4927)  all_56_12 = e2 & op(e0, e3) = e2
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4927) implies:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | |   (4928)  all_56_12 = e2
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | |   (4929)  op(e0, e3) = e2
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4925) gives:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (4930)  all_54_4 = e1
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (4930) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (4931)  all_52_1 = e1
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (4931) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (4932)  $false
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4932) is inconsistent.
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (4933)  all_54_4 = e0
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (4933) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (4934)  all_52_1 = e0
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (4934) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (4935)   ~ (all_52_9 = e0)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4935) implies:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (4936)   ~ (all_52_9 = e0)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4934) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (4937)   ~ (all_52_13 = e0)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4937) implies:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (4938)   ~ (all_52_13 = e0)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4884), (4934) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (4939)   ~ (e3 = e0)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4906), (4934) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (4940)   ~ (e2 = e0)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (4934) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (4941)   ~ (e1 = e0)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (4934) imply:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (4942)  op(e2, e3) = e0
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4943)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4943) gives:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4944)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4944) gives:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4945)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17) = all_57_2 & op(e3, all_57_18) =
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4945) implies:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4946)  op(e2, e3) = e3
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4942), (4946), (function-axioms) are
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1596.
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4947)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_18) =
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4947) implies:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4948)  all_57_17 = e3
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4949)   ~ (all_57_28 = e1)
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4950)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4950) gives:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4951)  all_57_28 = e1 & op(e3, e3) = e1
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4951) implies:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4952)  all_57_28 = e1
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4949), (4952) imply:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4953)  $false
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4953) is inconsistent.
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4954)  all_57_29 = e1 & op(e2, e2) = e1
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4954) implies:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4955)  all_57_29 = e1
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4956)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4956) gives:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4957)  all_57_28 = e2 & op(e3, e3) = e2
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4957) implies:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4958)  op(e3, e3) = e2
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4863), (4958), (function-axioms) are
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4959)  all_57_29 = e2 & op(e2, e2) = e2
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4959) implies:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4960)  all_57_29 = e2
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4955), (4960) imply:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4961)  e2 = e1
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4961) implies:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4962)  e2 = e1
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4914), (4962) imply:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4963)  all_56_9 = e1
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (4863), (4963),
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1103.
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4964)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_29 & $i(all_57_29))
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4964) gives:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4954) implies:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4965)  op(e2, e2) = e1
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e2,
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (4911), (4965) gives:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4966)  e2 = e1
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4914), (4966) imply:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4967)  all_56_9 = e1
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (4863), (4967),
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1103.
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4968)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29))
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4968) gives:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4969)  all_57_31 = e2 & op(e0, e0) = e2
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4969) implies:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4970)  op(e0, e0) = e2
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (4970), (function-axioms) are
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4971)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4971) implies:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4972)   ~ (all_57_29 = e2)
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4955), (4972) imply:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4973)   ~ (e2 = e1)
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4954) implies:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4974)  op(e2, e2) = e1
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e2,
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (4911), (4974) gives:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4975)  e2 = e1
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4914), (4975) imply:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4976)  all_56_9 = e1
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (4863), (4976),
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1103.
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4977)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & $i(all_57_17))
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4977) gives:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4978)  all_57_30 = e1 & op(e1, e1) = e1
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4978) implies:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4979)  op(e1, e1) = e1
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (4979), (function-axioms) are
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4980)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_17))
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (4948), (4980), (function-axioms) are
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1040.
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4981)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4981) gives:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4982)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_17) =
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (110), (113), (168), (193), (197),
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (241), (265), (275), (384), (385), (386), (4333),
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4334), (4341), (4887), (4909), (4911), (4982),
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #901.
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4983)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) =
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4983) implies:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4984)  op(e2, e3) = e2
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4942), (4984), (function-axioms) are
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1412.
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (4985)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 177.62/26.72  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4985) gives:
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4986)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.62/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4986) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4987)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_21) =
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4987) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4988)  op(e2, e1) = e2
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (198), (276), (4331), (4936), (4988),
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1145.
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4989)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_20) =
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4989) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4990)  all_57_21 = e2
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4991)   ~ (all_57_29 = e0)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4992)  op(e0, e2) = e2
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4993)  op(e2, e0) = e2
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4994)  op(e2, e2) = all_57_29
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4995)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4995) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4996)  all_57_28 = e0 & op(e3, e3) = e0
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4996) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4997)  op(e3, e3) = e0
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (4997), (function-axioms) are
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4998)  all_57_29 = e0 & op(e2, e2) = e0
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4998) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (4999)  op(e2, e2) = e0
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4991), (4994), (4999), (function-axioms) are
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1334.
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5000)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_21 & $i(all_57_21))
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5000) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5001)  all_57_30 = e0 & op(e1, e1) = e0
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5001) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5002)  op(e1, e1) = e0
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4334), (5002), (function-axioms) are
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5003)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_21))
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5003) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5004)  all_57_31 = e0 & op(e0, e0) = e0
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5004) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5005)  all_57_31 = e0
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4341), (5005) imply:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5006)  all_6_2 = e0
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (5006) imply:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5007)   ~ (all_52_14 = e0)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5006) imply:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5008)  op(e0, e0) = e0
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5009)  all_54_11 = e3
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (4887), (5009) are inconsistent by
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1336.
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5010)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5010) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5011)  all_54_11 = e2
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (4333), (5011) are inconsistent by
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1115.
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5012)   ~ (all_54_11 = e2)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5013)  all_54_11 = e1 | all_54_11 = e0
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5014)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5014) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5015)  all_56_9 = e3 & op(e3, e0) = e3
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5015) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5016)  op(e3, e0) = e3
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (113), (168), (197), (265), (275), (4333),
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4909), (4938), (5007), (5010), (5016),
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #941.
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5017)  all_56_10 = e3 & op(e2, e0) = e3
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5017) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5018)  all_56_10 = e3
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5019)  op(e2, e0) = e3
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5013) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5020)  all_54_11 = e1
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (5020) imply:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5021)  all_52_14 = e1
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5021) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5022)  all_52_14 = e1
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (5022) imply:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5023)   ~ (all_52_6 = e1)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4333), (5022) imply:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5024)   ~ (e2 = e1)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5025)  all_54_9 = e3
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4886), (5025) are inconsistent by
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5026)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5026) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5027)  all_54_9 = e2
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4329), (5027) are inconsistent by
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1323.
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5028)   ~ (all_54_9 = e2)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5029)  all_54_9 = e1 | all_54_9 = e0
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5029) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5030)  all_54_9 = e1
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (5023), (5030) are inconsistent by
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1322.
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5031)  all_54_9 = e0
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (5031) imply:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5032)  all_52_6 = e0
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5032) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5033)  all_52_6 = e0
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (5033) imply:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5034)   ~ (all_52_4 = e0)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5035)  all_54_1 = e3
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (5035) imply:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5036)  all_52_4 = e3
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5036) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5037)  all_52_4 = e3
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (5037) imply:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5038)   ~ (all_52_8 = e3)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5038) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5039)   ~ (all_52_8 = e3)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (5037) imply:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5040)   ~ (all_52_12 = e3)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5040) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5041)   ~ (all_52_12 = e3)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5042)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5042) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5043)  all_56_0 = e3 & op(e3, e3) = e3
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5043) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5044)  op(e3, e3) = e3
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4863), (5044), (function-axioms) are
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5045)  all_56_1 = e3 & op(e3, e2) = e3
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5045) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5046)  all_56_1 = e3
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5047)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5047) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5048)  all_56_9 = e1 & op(e3, e0) = e1
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5048) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5049)  all_56_9 = e1
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (170),
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (234), (236), (386), (4863), (5034),
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5049), (function-axioms) are inconsistent by
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1059.
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5050)  all_56_10 = e1 & op(e2, e0) = e1
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5050) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5051)  all_56_10 = e1
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5018), (5051) imply:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5052)  e3 = e1
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (169), (230),
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (236), (386), (4863), (4914), (5046), (5052),
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #692.
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5053)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5053) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5054)  all_56_11 = e1 & op(e1, e0) = e1
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5054) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5055)  all_56_11 = e1
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5056)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5056) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5057)  all_56_1 = e1 & op(e3, e2) = e1
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5057) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5058)  all_56_1 = e1
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (169), (230),
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (236), (386), (4863), (4914), (5058),
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1398.
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5059)  all_56_3 = e1 & op(e2, e2) = e1
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5059) implies:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5060)  all_56_3 = e1
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (135),
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (145), (146), (158), (162), (163), (164), (165),
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (167), (169), (170), (198), (206), (207), (210),
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (212), (213), (214), (215), (216), (217), (218),
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (221), (222), (223), (224), (227),
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (230), (233), (234), (236), (276),
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (284), (386), (387), (4329), (4331), (4334),
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4857), (4858), (4861), (4863), (4869), (4870),
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4884), (4895), (4906), (4911), (4914), (4925),
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4928), (4936), (4992), (5060), (function-axioms)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #666.
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5061)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5061) gives:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5062)  all_56_7 = e1 & op(e1, e2) = e1
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5062) implies:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5063)  all_56_7 = e1
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (162), (163), (213), (215),
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4329), (4869), (4870), (4895), (5055), (5063),
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #664.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5064)  all_56_13 = e1 & op(e0, e2) = e1
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5064) implies:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5065)  op(e0, e2) = e1
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5066)  all_54_2 = e3
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (5066) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5067)  all_52_8 = e3
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5039), (5067) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5068)  $false
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5068) is inconsistent.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5069)   ~ (all_54_2 = e3)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5070)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5070) gives:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5071)  all_54_2 = e2
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (5071) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5072)  all_52_8 = e2
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4330), (5072) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5073)  $false
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5073) is inconsistent.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5074)  all_54_2 = e1 | all_54_2 = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5074) gives:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5075)  all_54_2 = e1
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (5075) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5076)  all_52_8 = e1
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4861), (5076) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5077)  $false
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5077) is inconsistent.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5078)  all_54_2 = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (5078) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5079)  all_52_8 = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (5079) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5080)  op(e3, e1) = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e2,
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (4992), (5065) gives:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5081)  e2 = e1
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e0,
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (4993), (5019) gives:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5082)  e3 = e2
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5081), (5082) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5083)  e3 = e1
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5046), (5083) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5084)  all_56_1 = e1
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (4863), (4914),
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5080), (5084), (function-axioms) are inconsistent
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1399.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5085)  all_56_15 = e1 & op(e0, e0) = e1
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5085) implies:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5086)  op(e0, e0) = e1
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (5086), (function-axioms) are
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5087)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5087) gives:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5088)  all_56_4 = e3 & op(e3, e1) = e3
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5088) implies:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5089)  op(e3, e1) = e3
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (36), (169), (170), (230), (386),
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4914), (5034), (5089), (function-axioms) are
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #899.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5090)  all_56_9 = e3 & op(e3, e0) = e3
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5090) implies:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5091)  op(e3, e0) = e3
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5041), (5091), (function-axioms) are
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5092)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (4860), (4907), (5034), (5092) are
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1057.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5093)  all_54_11 = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (5007), (5093) are inconsistent by
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1329.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5094)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5094) gives:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5095)  all_56_11 = e3 & op(e1, e0) = e3
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5095) implies:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5096)  all_56_11 = e3
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5013) gives:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5097)  all_54_11 = e1
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (5097) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5098)  all_52_14 = e1
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5098) implies:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5099)  all_52_14 = e1
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (5099) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5100)   ~ (all_52_6 = e1)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4333), (5099) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5101)   ~ (e2 = e1)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5102)  all_54_9 = e3
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4886), (5102) are inconsistent by
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5103)   ~ (all_54_9 = e3)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5104)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5104) gives:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5105)  all_54_9 = e2
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4329), (5105) are inconsistent by
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1323.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5106)   ~ (all_54_9 = e2)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5107)  all_54_9 = e1 | all_54_9 = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5107) gives:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5108)  all_54_9 = e1
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (5100), (5108) are inconsistent by
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1322.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5109)  all_54_9 = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (5109) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5110)  all_52_6 = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5110) implies:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5111)  all_52_6 = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (5111) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5112)   ~ (all_52_4 = e0)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5111) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5113)   ~ (all_52_7 = e0)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5113) implies:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5114)   ~ (all_52_7 = e0)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5115)  all_54_1 = e3
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (5115) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5116)  all_52_4 = e3
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5116) implies:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5117)  all_52_4 = e3
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (5117) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5118)   ~ (all_52_7 = e3)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5118) implies:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5119)   ~ (all_52_7 = e3)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5120)  all_54_13 = e3
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (5119), (5120) are inconsistent by
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1302.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5121)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5122)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (163), (214), (4334), (4858),
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4869), (4870), (5096), (5122), (function-axioms)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #662.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5123)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5123) gives:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5124)  all_56_8 = e0 & op(e1, e1) = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5124) implies:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5125)  op(e1, e1) = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4334), (5125), (function-axioms) are
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5126)  all_56_11 = e0 & op(e1, e0) = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5126) implies:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5127)  op(e1, e0) = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (128), (160), (195), (263), (273), (4329),
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4886), (4908), (5114), (5121), (5127),
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #816.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5128)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (4860), (4907), (5112), (5128) are
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1057.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5129)  all_54_11 = e0
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (5007), (5129) are inconsistent by
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1329.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5130)  all_56_15 = e3 & op(e0, e0) = e3
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5130) implies:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5131)  op(e0, e0) = e3
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5008), (5131), (function-axioms) are
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5132)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_21)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5132) implies:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5133)   ~ (all_57_21 = e2)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4990), (5133) imply:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5134)  $false
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5134) is inconsistent.
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5135)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5135) gives:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5136)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5136) implies:
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5137)  op(e3, e1) = e1
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4861), (5137), (function-axioms) are
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5138)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5138) gives:
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5139)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5139) implies:
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5140)   ~ (all_57_30 = e2)
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5141)  op(e1, e1) = all_57_30
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4334), (5140), (5141), (function-axioms) are
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #661.
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5142)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5142) implies:
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5143)  op(e0, e1) = all_57_27
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5144)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5144) gives:
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5145)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22) = all_57_8 & op(e1, all_57_23) =
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5145) implies:
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5146)  all_57_27 = e1
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5147)  all_57_24 = e1
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.83/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5143), (5146) imply:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5148)  op(e0, e1) = e1
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5149)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5149) gives:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5150)  all_56_1 = e2 & op(e3, e2) = e2
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5150) implies:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5151)  all_56_1 = e2
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5152)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (4863), (5151), (5152),
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #659.
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5153)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5153) gives:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5154)  all_56_4 = e3 & op(e3, e1) = e3
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5154) implies:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5155)  op(e3, e1) = e3
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5156)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5156) gives:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5157)  all_56_1 = e3 & op(e3, e2) = e3
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5157) implies:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5158)  all_56_1 = e3
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5151), (5158) are inconsistent by sub-proof
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #660.
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5159)  all_56_3 = e3 & op(e2, e2) = e3
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5159) implies:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5160)  op(e2, e2) = e3
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4911), (5160), (function-axioms) are
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5161)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5161) gives:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5162)  all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (163), (213),
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (4329), (4334), (4858), (4869),
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4870), (4895), (5162), (function-axioms) are
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #657.
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5163)  all_56_13 = e3 & op(e0, e2) = e3
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5163) implies:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5164)  all_56_13 = e3
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5165)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5165) gives:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5166)  all_56_12 = e1 & op(e0, e3) = e1
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (91), (159),
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (229), (233), (235), (386), (4334), (4856),
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4863), (5166), (function-axioms) are inconsistent
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #654.
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5167)  all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5167) implies:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5168)  all_56_13 = e1
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5164), (5168) are inconsistent by sub-proof
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1357.
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5169)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5169) gives:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5170)  all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (165), (169), (217), (4334),
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4936), (5148), (5155), (function-axioms) are
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #915.
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5171)  all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5171) implies:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5172)  op(e0, e0) = e1
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (5172), (function-axioms) are
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5173)  all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5173) implies:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5174)  all_56_9 = e3
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4914), (5174) are inconsistent by sub-proof
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1576.
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5175)  all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5175) implies:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5176)  all_56_3 = e2
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5177)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (4911), (5177),
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1585.
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5178)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_24 & $i(all_57_24))
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5178) gives:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5179)  all_57_30 = e0 & op(e1, e1) = e0
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5179) implies:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5180)  op(e1, e1) = e0
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4334), (5180), (function-axioms) are
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5181)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24))
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5181) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5182)  all_57_31 = e0 & op(e0, e0) = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5182) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5183)  all_57_31 = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4341), (5183) imply:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5184)  all_6_2 = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (5184) imply:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5185)   ~ (all_52_7 = e0)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (5184) imply:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5186)   ~ (all_52_11 = e0)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (5184) imply:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5187)   ~ (all_52_14 = e0)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5188)  all_54_11 = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (4887), (5188) are inconsistent by
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1336.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5189)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5190)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5190) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5191)  all_56_6 = e0 & op(e1, e3) = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5191) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5192)  op(e1, e3) = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4869), (4870), (5192), (function-axioms)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #698.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5193)  all_56_7 = e0 & op(e1, e2) = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5193) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5194)  all_56_7 = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5195)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5195) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5196)  all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5196) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5197)  op(e3, e0) = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (113), (168), (197), (265), (275), (4333),
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4909), (4938), (5187), (5189), (5197),
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #941.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5198)  all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5198) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5199)  all_56_10 = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5200)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (163), (4858), (5194), (5200),
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #682.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5201)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5201) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5202)  all_56_8 = e1 & op(e1, e1) = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5202) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5203)  op(e1, e1) = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (5203), (function-axioms) are
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5204)  all_56_11 = e1 & op(e1, e0) = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5204) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5205)  all_56_11 = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5206)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5206) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5207)  all_56_2 = e1 & op(e2, e3) = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (4857), (5207), (function-axioms) are
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1352.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5208)  all_56_3 = e1 & op(e2, e2) = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5208) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5209)  all_56_3 = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5176), (5209) imply:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5210)  e2 = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5210) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5211)  e2 = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4914), (5211) imply:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5212)  all_56_9 = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (39), (211), (389), (5199), (5205),
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5212), (function-axioms) are inconsistent by
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #954.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5213)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5213) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5214)  all_56_5 = e1 & op(e2, e1) = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5214) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5215)  op(e2, e1) = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5216)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5216) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5217)  all_56_4 = e0 & op(e3, e1) = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5217) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5218)  op(e3, e1) = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5219)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5219) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5220)  all_56_0 = e3 & op(e3, e3) = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5220) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5221)  op(e3, e3) = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4863), (5221), (function-axioms) are
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5222)  all_56_1 = e3 & op(e3, e2) = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5222) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5223)  all_56_1 = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5224)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (169), (5215), (5218), (5224),
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #653.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5225)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5225) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5226)  all_56_8 = e3 & op(e1, e1) = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5226) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5227)  op(e1, e1) = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4334), (5227), (function-axioms) are
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5228)  all_56_14 = e3 & op(e0, e1) = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5228) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5229)  op(e0, e1) = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5189) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5230)  all_54_11 = e2
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (4333), (5230) are inconsistent by
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1115.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5231)  all_54_11 = e1 | all_54_11 = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5231) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5232)  all_54_11 = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (5232) imply:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5233)  all_52_14 = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5233) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5234)  all_52_14 = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (5234) imply:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5235)   ~ (all_52_13 = e1)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5236)  all_54_7 = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (5236) imply:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5237)  all_52_13 = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5237) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5238)  all_52_13 = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (5238) imply:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5239)   ~ (all_52_9 = e3)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5240)  all_54_6 = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (5239), (5240) are inconsistent by
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1242.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5241)   ~ (all_54_6 = e3)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5242)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5242) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5243)  all_54_6 = e2
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (4331), (5243) are inconsistent by
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1241.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5244)  all_54_6 = e1 | all_54_6 = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5244) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5245)  all_54_6 = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (5245) imply:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5246)  all_52_9 = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5246) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5247)  all_52_9 = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5239), (5247) imply:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5248)   ~ (e3 = e1)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e1,
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (5148), (5229) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5249)  e3 = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5223), (5249) imply:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5250)  all_56_1 = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (4863), (4914),
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5218), (5250), (function-axioms) are inconsistent
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1399.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5251)  all_54_6 = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (4936), (5251) are inconsistent by
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1235.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5252)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (4909), (4938), (5235), (5252) are
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #944.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5253)  all_54_11 = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (5187), (5253) are inconsistent by
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1329.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5254)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5254) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5255)  all_56_4 = e3 & op(e3, e1) = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5255) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5256)  op(e3, e1) = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (5218), (5256), (function-axioms) are
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1577.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5257)  all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5257) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5258)  all_56_9 = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (39), (211), (389), (5199), (5205),
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5258), (function-axioms) are inconsistent by
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #776.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5259)  all_56_5 = e0 & op(e2, e1) = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4936), (5259), (function-axioms) are
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1476.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5260)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5260) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5261)  all_56_8 = e0 & op(e1, e1) = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5261) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5262)  op(e1, e1) = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (162), (215), (4329), (4895),
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5205), (5262), (function-axioms) are inconsistent
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1228.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5263)  all_56_14 = e0 & op(e0, e1) = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5263) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5264)  op(e0, e1) = e0
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (5143), (5186), (5264), (function-axioms)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #902.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5265)  all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5265) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5266)  all_56_10 = e1
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (164), (206), (212),
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4914), (4938), (5205), (5266), (function-axioms)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1205.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5267)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5267) gives:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5268)  all_56_11 = e3 & op(e1, e0) = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5268) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5269)  all_56_11 = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (163), (214), (4334), (4858),
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5194), (5269), (function-axioms) are inconsistent
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #663.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5270)  all_56_15 = e3 & op(e0, e0) = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5270) implies:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5271)  op(e0, e0) = e3
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (158), (206), (4928), (5148),
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5185), (5271), (function-axioms) are inconsistent
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #752.
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5272)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (4334), (5187), (5272),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #918.
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5273)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_24)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5273) implies:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5274)   ~ (all_57_24 = e1)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5147), (5274) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5275)  $false
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5275) is inconsistent.
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5276)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5276) gives:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5277)  all_56_7 = e2 & op(e1, e2) = e2
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5277) implies:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5278)  op(e1, e2) = e2
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4329), (5278), (function-axioms) are
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5279)  all_56_13 = e2 & op(e0, e2) = e2
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5279) implies:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5280)  all_56_13 = e2
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5281)  op(e0, e2) = e2
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (135),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (145), (146), (158), (162), (163), (164), (165),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (167), (169), (170), (198), (206), (207), (210),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (212), (213), (214), (215), (216), (217), (218),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (221), (222), (223), (224), (226),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (228), (229), (230), (233), (234), (236),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (276), (284), (386), (387), (4329), (4331),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4334), (4857), (4858), (4861), (4863), (4869),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4870), (4884), (4895), (4906), (4911), (4914),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4925), (4936), (4938), (5280), (5281),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #650.
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5282)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25) = all_57_12 & op(e0, all_57_26) =
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & all_57_25 = e0 & op(e3, e0) = e0) |
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0))
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5282) implies:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5283)   ~ (all_57_15 = e0)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5284)  op(e0, e3) = all_57_25
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5285)  op(e0, all_57_31) = all_57_15
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5286)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e0 & op(e1, e0) = e0)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4341), (5285) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5287)  op(e0, all_6_2) = all_57_15
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (157), (5143)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5288)  all_57_27 = all_52_11
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25, e3, e0, simplifying with (4929), (5284)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5289)  all_57_25 = e2
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e3, simplifying with (168), (4915) gives:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5290)  all_52_12 = e2
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (5290) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5291)   ~ (all_6_2 = e2)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5292)   ~ (all_38_2 = e3)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (311), (5292) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5293)   ~ (all_6_2 = e3)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (189), (261), (387), (389), (5283), (5287),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5293), (function-axioms) are inconsistent by
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1604.
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5294)  all_38_2 = e3
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (5294) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5295)  all_6_2 = e3
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5295) implies:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5296)  all_6_2 = e3
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4341), (5296) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5297)  all_57_31 = e3
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (5296) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5298)   ~ (all_52_7 = e3)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5296) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5299)  op(e0, e0) = e3
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5286) gives:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5300)  all_57_31 = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5297), (5300) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5301)  e3 = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (5301) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5302)  $false
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5302) is inconsistent.
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5303)   ~ (all_57_31 = e0)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5304)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e0)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5305)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (4911), (5305),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1585.
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5306)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_24 & $i(all_57_24))
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5306) gives:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5307)  all_57_30 = e0 & op(e1, e1) = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5307) implies:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5308)  op(e1, e1) = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4334), (5308), (function-axioms) are
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5309)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24))
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5309) gives:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5310)  all_57_31 = e0 & op(e0, e0) = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5310) implies:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5311)  op(e0, e0) = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5299), (5311), (function-axioms) are
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5312)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_24)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5312) implies:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5313)  op(e1, e0) = all_57_24
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5304) gives:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5314)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5289), (5314) are inconsistent by sub-proof
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #649.
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5315)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5315) gives:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5316)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5316) implies:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5317)  op(e2, e0) = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4938), (5317), (function-axioms) are
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1504.
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5318)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5318) implies:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5319)  all_57_27 = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5320)  all_57_24 = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5288), (5319) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5321)  all_52_11 = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5321) implies:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5322)  all_52_11 = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (5322) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5323)   ~ (all_52_7 = e0)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5313), (5320) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5324)  op(e1, e0) = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5325)  all_54_13 = e3
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (5298), (5325) are inconsistent by
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1302.
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5326)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (128), (160), (195), (263), (273), (4329),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4886), (4908), (5323), (5324), (5326),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #816.
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | |   (5327)  all_56_13 = e2 & op(e0, e2) = e2
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5327) implies:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | |   (5328)  all_56_13 = e2
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | |   (5329)  op(e0, e2) = e2
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4925) gives:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5330)  all_54_4 = e1
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5330) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5331)  all_52_1 = e1
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5331) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5332)  $false
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5332) is inconsistent.
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5333)  all_54_4 = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5333) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5334)  all_52_1 = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (5334) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5335)   ~ (all_52_9 = e0)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5335) implies:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5336)   ~ (all_52_9 = e0)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (5334) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5337)   ~ (all_52_13 = e0)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5337) implies:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5338)   ~ (all_52_13 = e0)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4884), (5334) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5339)   ~ (e3 = e0)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4906), (5334) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5340)   ~ (e2 = e0)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5334) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5341)   ~ (e1 = e0)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (135),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |            (145), (146), (158), (162), (163), (164), (165),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |            (167), (169), (170), (198), (206), (207), (210),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |            (212), (213), (214), (215), (216), (217), (218),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (221), (222), (223), (224), (226),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (228), (229), (230), (233), (234), (236),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |            (276), (284), (386), (387), (4329), (4331),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |            (4334), (4857), (4858), (4861), (4863), (4869),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |            (4870), (4884), (4895), (4906), (4911), (4914),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |            (4925), (5328), (5329), (5336), (5338),
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |            #650.
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | |   (5342)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5342) gives:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | |   (5343)  all_56_14 = e2 & op(e0, e1) = e2
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5343) implies:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | |   (5344)  all_56_14 = e2
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4925) gives:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5345)  all_54_4 = e1
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5345) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5346)  all_52_1 = e1
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5346) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5347)  $false
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5347) is inconsistent.
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5348)  all_54_4 = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5348) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5349)  all_52_1 = e0
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (5349) imply:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5350)   ~ (all_52_9 = e0)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5350) implies:
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (5351)   ~ (all_52_9 = e0)
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.77  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (5349) imply:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (5352)   ~ (all_52_13 = e0)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5352) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (5353)   ~ (all_52_13 = e0)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4884), (5349) imply:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (5354)   ~ (e3 = e0)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4906), (5349) imply:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (5355)   ~ (e2 = e0)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5349) imply:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (5356)   ~ (e1 = e0)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5357)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5357) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5358)  all_56_1 = e2 & op(e3, e2) = e2
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5358) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5359)  all_56_1 = e2
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5360)  op(e3, e2) = e2
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5361)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (4863), (5359), (5361),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #659.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5362)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5362) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5363)  all_56_4 = e3 & op(e3, e1) = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5363) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5364)  all_56_4 = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5365)  op(e3, e1) = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5366)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5366) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5367)  all_56_1 = e3 & op(e3, e2) = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5367) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5368)  all_56_1 = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5359), (5368) imply:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5369)  e3 = e2
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (220),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4334), (5344), (5364), (5369), (function-axioms)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #648.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5370)  all_56_3 = e3 & op(e2, e2) = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5370) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5371)  op(e2, e2) = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4911), (5371), (function-axioms) are
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5372)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5372) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5373)  all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (163), (213),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (4329), (4334), (4858), (4869),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4870), (4895), (5373), (function-axioms) are
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #657.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5374)  all_56_13 = e3 & op(e0, e2) = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5374) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5375)  all_56_13 = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5376)  all_56_15 = e0 & op(e0, e0) = e0
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5376) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5377)  op(e0, e0) = e0
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5378)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5378) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5379)  all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5379) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5380)  all_56_9 = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4914), (5380) imply:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5381)  e3 = e2
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (220),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4334), (5344), (5364), (5381), (function-axioms)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #648.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5382)  all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5382) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5383)  all_56_10 = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5384)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5384) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5385)  all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (4863), (5359), (5385),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #685.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5386)  all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5386) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5387)  all_56_10 = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5383), (5387) are inconsistent by sub-proof
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1489.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5388)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (39), (162), (165), (169),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (217), (387), (4329), (4895), (5344),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5351), (5365), (5388), (function-axioms) are
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #646.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5389)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5389) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5390)  all_56_11 = e3 & op(e1, e0) = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5390) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5391)  all_56_11 = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5392)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5392) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5393)  all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (4863), (5359), (5393),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #685.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5394)  all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5394) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5395)  all_56_10 = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5396)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5396) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5397)  all_56_6 = e1 & op(e1, e3) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5397) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5398)  op(e1, e3) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4858), (5398), (function-axioms) are
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1597.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5399)  all_56_7 = e1 & op(e1, e2) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5399) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5400)  all_56_7 = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5401)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5401) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5402)  all_56_12 = e1 & op(e0, e3) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (91), (159),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (229), (233), (235), (386), (4334), (4856),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4863), (5402), (function-axioms) are inconsistent
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #654.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5403)  all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5403) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5404)  all_56_13 = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5375), (5404) imply:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5405)  e3 = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5391), (5405) imply:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5406)  all_56_11 = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (162), (163), (213), (215),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4329), (4869), (4870), (4895), (5400), (5406),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #664.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5407)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5407) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5408)  all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5408) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5409)  all_56_14 = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5344), (5409) imply:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5410)  e2 = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5359), (5410) imply:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5411)  all_56_1 = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (169), (230),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (236), (386), (4863), (4914), (5411),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1398.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5412)  all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5412) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5413)  all_56_15 = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (164), (206), (4914), (5353),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5391), (5413), (function-axioms) are inconsistent
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1201.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5414)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5414) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5415)  all_56_8 = e1 & op(e1, e1) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5415) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5416)  op(e1, e1) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (5416), (function-axioms) are
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5417)  all_56_11 = e1 & op(e1, e0) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5417) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5418)  all_56_11 = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (164), (206), (212),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4914), (5353), (5395), (5418), (function-axioms)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1205.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5419)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5419) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5420)  all_56_11 = e1 & op(e1, e0) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5420) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5421)  all_56_11 = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (162), (165), (169), (215),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (4329), (4895), (5344), (5351), (5365),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5421), (function-axioms) are inconsistent by
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #647.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5422)  all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5422) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5423)  all_56_15 = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (164), (206), (4914), (5353),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5391), (5423), (function-axioms) are inconsistent
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1201.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5424)  all_56_15 = e3 & op(e0, e0) = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5424) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5425)  op(e0, e0) = e3
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5377), (5425), (function-axioms) are
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5426)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5426) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5427)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5428)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5428) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5429)  all_56_12 = e1 & op(e0, e3) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (91), (159),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (229), (233), (235), (386), (4334), (4856),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4863), (5429), (function-axioms) are inconsistent
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #654.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5430)  all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5375), (5430) are inconsistent by sub-proof
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1460.
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5431)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5431) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5432)  all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5432) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5433)  op(e0, e1) = e1
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5427) gives:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5434)  all_56_12 = e0 & op(e0, e3) = e0
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5434) implies:
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5435)  all_56_12 = e0
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5436)  op(e0, e3) = e0
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (135), (158),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (207), (208), (233), (235), (387), (389),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4863), (4895), (5360), (5375), (5435), (5436),
% 177.93/26.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #643.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5437)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (5375), (5433), (5437),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #782.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5438)  all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5438) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5439)  op(e0, e0) = e1
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (5439), (function-axioms) are
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5440)  all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5440) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5441)  all_56_9 = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4914), (5441) are inconsistent by sub-proof
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1576.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5442)  all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5442) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5443)  all_56_3 = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5444)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (164), (165), (221), (4863), (4911),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5351), (5353), (5444), (function-axioms) are
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #686.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5445)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5445) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5446)  all_56_6 = e2 & op(e1, e3) = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4895), (5446) are inconsistent by sub-proof
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1232.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5447)  all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5447) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5448)  all_56_12 = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5449)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5449) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5450)  all_56_4 = e3 & op(e3, e1) = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5450) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5451)  op(e3, e1) = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5452)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5452) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5453)  all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5453) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5454)  all_56_9 = e1
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (4863), (5454),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1103.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5455)  all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5455) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5456)  all_56_10 = e1
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (217),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (224), (229), (386), (4334), (4869),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4870), (5344), (5443), (5448), (5456),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #642.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5457)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (39), (162), (165), (169),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (217), (387), (4329), (4895), (5344),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5351), (5451), (5457), (function-axioms) are
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #646.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5458)  all_56_5 = e3 & op(e2, e1) = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5458) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5459)  all_56_5 = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5460)  op(e2, e1) = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (217), (218), (4334),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5344), (5459), (5460), (function-axioms) are
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5461)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4334), (5344), (5461), (function-axioms) are
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #983.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5462)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5462) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5463)  all_56_7 = e2 & op(e1, e2) = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5463) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5464)  op(e1, e2) = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4329), (5464), (function-axioms) are
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5465)  all_56_13 = e2 & op(e0, e2) = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5465) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5466)  all_56_13 = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5467)  op(e0, e2) = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5468)  all_56_15 = e0 & op(e0, e0) = e0
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5468) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5469)  op(e0, e0) = e0
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5470)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5470) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5471)  all_56_1 = e3 & op(e3, e2) = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5471) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5472)  all_56_1 = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5473)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5473) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5474)  all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4914), (5474) are inconsistent by sub-proof
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1401.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5475)  all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5475) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5476)  all_56_10 = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5477)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (164), (165), (221), (4863), (4911),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5351), (5353), (5477), (function-axioms) are
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #686.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5478)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5478) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5479)  all_56_6 = e2 & op(e1, e3) = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5479) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5480)  all_56_6 = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4895), (5480) imply:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5481)  e3 = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5476), (5481) imply:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5482)  all_56_10 = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (39), (135), (145), (146),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (158), (162), (163), (164), (165), (167), (169),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (206), (207), (210), (212), (213), (214),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (216), (217), (218), (219), (220), (221),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (222), (224), (227), (228), (229), (230), (233),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (284), (386), (387), (4329), (4334),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4857), (4858), (4861), (4863), (4869), (4870),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4884), (4895), (4906), (4911), (4925), (5467),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5482), (function-axioms) are inconsistent by
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #667.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5483)  all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5483) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5484)  all_56_12 = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5485)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5485) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5486)  all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5486) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5487)  all_56_9 = e1
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (4863), (5487),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1103.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5488)  all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5488) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5489)  all_56_10 = e1
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (169),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (218), (224), (229), (230), (236), (386),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4334), (4863), (4869), (4870), (4911), (4914),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5344), (5472), (5484), (5489), (function-axioms)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #641.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5490)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5490) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5491)  all_56_11 = e1 & op(e1, e0) = e1
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5491) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5492)  all_56_11 = e1
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5493)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5493) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5494)  all_56_4 = e3 & op(e3, e1) = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5494) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5495)  op(e3, e1) = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (162), (165), (169), (215),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (4329), (4895), (5344), (5351), (5492),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5495), (function-axioms) are inconsistent by
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #647.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5496)  all_56_5 = e3 & op(e2, e1) = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5496) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5497)  all_56_5 = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5498)  op(e2, e1) = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (217), (218), (4334),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5344), (5497), (5498), (function-axioms) are
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5499)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5499) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5500)  all_56_8 = e3 & op(e1, e1) = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5500) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5501)  op(e1, e1) = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4334), (5501), (function-axioms) are
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5502)  all_56_14 = e3 & op(e0, e1) = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5502) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5503)  all_56_14 = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5344), (5503) imply:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5504)  e3 = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5504) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5505)  e3 = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5476), (5505) imply:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5506)  all_56_10 = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (39), (135), (145), (146),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (158), (162), (163), (164), (165), (167), (169),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (206), (207), (210), (212), (213), (214),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (216), (217), (218), (219), (220), (221),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (222), (224), (227), (228), (229), (230), (233),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (284), (386), (387), (4329), (4334),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4857), (4858), (4861), (4863), (4869), (4870),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4884), (4895), (4906), (4911), (4925), (5467),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5506), (function-axioms) are inconsistent by
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #667.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5507)  all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5507) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5508)  op(e0, e0) = e1
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (5508), (function-axioms) are
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5509)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5509) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5510)  all_56_11 = e3 & op(e1, e0) = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5510) implies:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5511)  all_56_11 = e3
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5512)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (164), (165), (221), (4863), (4911),
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5351), (5353), (5512), (function-axioms) are
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #686.
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5513)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5513) gives:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5514)  all_56_6 = e2 & op(e1, e3) = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5514) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5515)  all_56_6 = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4895), (5515) imply:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5516)  e3 = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5511), (5516) imply:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5517)  all_56_11 = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5518)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5518) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5519)  all_56_2 = e0 & op(e2, e3) = e0
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5519) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5520)  all_56_2 = e0
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5470) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5521)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5521) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5522)  all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5522) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5523)  all_56_9 = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (169),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (213), (214), (216), (230), (234), (236), (386),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4334), (4858), (4863), (5472), (5516), (5517),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #639.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5524)  all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5524) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5525)  all_56_10 = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5526)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5526) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5527)  all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5527) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5528)  all_56_9 = e1
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (4863), (5528),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1103.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5529)  all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5529) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5530)  all_56_10 = e1
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (169), (230),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (236), (386), (4863), (4914), (5472), (5525),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5530), (function-axioms) are inconsistent by
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #652.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5531)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (39), (211), (387), (389), (4914),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5517), (5525), (5531), (function-axioms) are
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #811.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5509) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5511), (5517) imply:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5532)  e3 = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (169),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (213), (214), (216), (230), (234), (236), (386),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4334), (4858), (4863), (5472), (5516), (5517),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #639.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5533)  all_56_15 = e3 & op(e0, e0) = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5533) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5534)  op(e0, e0) = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5469), (5534), (function-axioms) are
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5535)  all_56_3 = e3 & op(e2, e2) = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5535) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5536)  all_56_3 = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5537)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5537) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5538)  all_56_0 = e2 & op(e3, e3) = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5538) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5539)  op(e3, e3) = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4863), (5539), (function-axioms) are
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5540)  all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5520), (5540) are inconsistent by sub-proof
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #638.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5513) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4895), (5515) imply:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5541)  e3 = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5516), (5536) imply:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5542)  all_56_3 = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5543)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5543) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5544)  all_56_0 = e2 & op(e3, e3) = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5544) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5545)  op(e3, e3) = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4863), (5545), (function-axioms) are
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5546)  all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5546) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5547)  all_56_2 = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5520), (5547) are inconsistent by sub-proof
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1196.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5513) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4895), (5514) are inconsistent by sub-proof
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1232.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5548)  all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5548) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5549)  all_56_12 = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (163),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (210), (217), (218), (224), (229), (230),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (387), (4334), (4863),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4869), (4870), (4914), (5344), (5517), (5542),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5549), (function-axioms) are inconsistent by
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #637.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5550)  all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5550) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5551)  all_56_12 = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5552)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5552) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5553)  all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5553) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5554)  all_56_9 = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5516), (5536) imply:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5555)  all_56_3 = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (163),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (210), (217), (218), (224), (229), (230),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (387), (4334), (4863),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4869), (4870), (4914), (5344), (5517), (5551),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5555), (function-axioms) are inconsistent by
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #637.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5556)  all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5556) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5557)  all_56_10 = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (169),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (210), (211), (230), (234), (236), (386), (387),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (389), (4863), (4914), (5517), (5557),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #810.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5509) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5511), (5517) imply:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5558)  e3 = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5516), (5536) imply:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5559)  all_56_3 = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (163),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (210), (217), (218), (224), (229), (230),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (387), (4334), (4863),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4869), (4870), (4914), (5344), (5517), (5551),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5559), (function-axioms) are inconsistent by
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #637.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5560)  all_56_15 = e3 & op(e0, e0) = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5560) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5561)  op(e0, e0) = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5469), (5561), (function-axioms) are
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5562)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5562) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5563)  all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5563) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5564)  all_56_7 = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5565)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (4858), (5564), (5565),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #658.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5566)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (5517), (5566), (function-axioms) are
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #636.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5567)  all_56_13 = e3 & op(e0, e2) = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5567) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5568)  all_56_13 = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5466), (5568) are inconsistent by sub-proof
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1121.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5569)  all_56_3 = e0 & op(e2, e2) = e0
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5569) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5570)  op(e2, e2) = e0
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4911), (5570), (function-axioms) are
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5571)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (5351), (5353), (5571),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1195.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5572)  all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5572) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5573)  all_56_12 = e2
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5574)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5574) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5575)  all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5575) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5576)  all_56_9 = e1
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (4863), (5576),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1103.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5577)  all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5577) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5578)  all_56_10 = e1
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (169),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (218), (224), (229), (230), (236), (386),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4334), (4863), (4869), (4870), (4911), (4914),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5344), (5472), (5573), (5578), (function-axioms)
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #641.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5579)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5579) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5580)  all_56_11 = e1 & op(e1, e0) = e1
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5580) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5581)  all_56_11 = e1
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5511), (5581) imply:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5582)  e3 = e1
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (169), (230),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (236), (386), (4863), (4914), (5472), (5582),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #692.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5583)  all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5583) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5584)  all_56_15 = e1
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (164), (206), (4914), (5353),
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5511), (5584), (function-axioms) are inconsistent
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1201.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5585)  all_56_15 = e3 & op(e0, e0) = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5585) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5586)  op(e0, e0) = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5469), (5586), (function-axioms) are
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5587)  all_56_3 = e3 & op(e2, e2) = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5587) implies:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5588)  op(e2, e2) = e3
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4911), (5588), (function-axioms) are
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5589)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5589) gives:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5590)  all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (163), (213),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (4329), (4334), (4858), (4869),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4870), (4895), (5590), (function-axioms) are
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #657.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5591)  all_56_13 = e3 & op(e0, e2) = e3
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5466), (5591) are inconsistent by sub-proof
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #760.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5592)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5592) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5593)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5594)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (164), (165), (221), (4863), (4911),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5351), (5353), (5594), (function-axioms) are
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #686.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5595)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5595) gives:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5596)  all_56_6 = e2 & op(e1, e3) = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5596) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5597)  all_56_6 = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4895), (5597) are inconsistent by sub-proof
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1454.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5598)  all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5598) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5599)  all_56_12 = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5593) gives:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5600)  all_56_12 = e0 & op(e0, e3) = e0
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5600) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5601)  all_56_12 = e0
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5599), (5601) are inconsistent by sub-proof
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1548.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5602)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5602) gives:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5603)  all_56_13 = e0 & op(e0, e2) = e0
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5603) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5604)  all_56_13 = e0
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5466), (5604) are inconsistent by sub-proof
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1014.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5605)  all_56_14 = e0 & op(e0, e1) = e0
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5605) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5606)  all_56_14 = e0
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5344), (5606) are inconsistent by sub-proof
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1437.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | |   (5607)  all_56_15 = e2 & op(e0, e0) = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5607) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | |   (5608)  op(e0, e0) = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (5608), (function-axioms) are
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | |   (5609)  all_56_10 = e2 & op(e2, e0) = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | ALPHA: (5609) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | |   (5610)  all_56_10 = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | |   (5611)  all_54_4 = e3
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5611) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | |   (5612)  all_52_1 = e3
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | REDUCE: (4884), (5612) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | |   (5613)  $false
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | CLOSE: (5613) is inconsistent.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | |   (5614)   ~ (all_54_4 = e3)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | |   (5615)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5615) gives:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | |   (5616)  all_54_4 = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5616) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | |   (5617)  all_52_1 = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4906), (5617) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | |   (5618)  $false
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5618) is inconsistent.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | |   (5619)   ~ (all_54_4 = e2)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | |   (5620)  all_54_4 = e1 | all_54_4 = e0
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | |   (5621)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5621) gives:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | |   (5622)  all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5622) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | |   (5623)  all_56_12 = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (5624)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5624) gives:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5625)  all_56_0 = e2 & op(e3, e3) = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5625) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5626)  op(e3, e3) = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4863), (5626), (function-axioms) are
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5627)  all_56_1 = e2 & op(e3, e2) = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5627) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5628)  all_56_1 = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5620) gives:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5629)  all_54_4 = e1
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5629) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5630)  all_52_1 = e1
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5630) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5631)  $false
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5631) is inconsistent.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5632)  all_54_4 = e0
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5632) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5633)  all_52_1 = e0
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (5633) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5634)   ~ (all_52_9 = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5634) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5635)   ~ (all_52_9 = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4884), (5633) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5636)   ~ (e3 = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4906), (5633) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5637)   ~ (e2 = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5633) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5638)   ~ (e1 = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (165), (167), (169), (210), (213), (214),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (217), (218), (219), (220), (222), (224),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (230), (234), (236), (386), (387), (4329),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4334), (4857), (4858), (4861), (4863), (4869),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4870), (4895), (4911), (5610), (5623), (5628),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5635), (function-axioms) are inconsistent by
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #678.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (5639)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5639) gives:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5640)  all_56_4 = e2 & op(e3, e1) = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5640) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5641)  all_56_4 = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5620) gives:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5642)  all_54_4 = e1
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5642) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5643)  all_52_1 = e1
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5643) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5644)  $false
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5644) is inconsistent.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5645)  all_54_4 = e0
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5645) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5646)  all_52_1 = e0
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (5646) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5647)   ~ (all_52_9 = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5647) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5648)   ~ (all_52_9 = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4884), (5646) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5649)   ~ (e3 = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4906), (5646) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5650)   ~ (e2 = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5646) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5651)   ~ (e1 = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5652)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (36), (163), (229), (386), (4869),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4870), (4911), (5623), (5652), (function-axioms)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #683.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5653)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5653) gives:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5654)  all_56_5 = e3 & op(e2, e1) = e3
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (169), (210), (215), (217), (218), (230),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (387), (4329), (4334),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4861), (4863), (4895), (5610), (5641), (5648),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5654), (function-axioms) are inconsistent by
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #687.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5655)  all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5655) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5656)  all_56_10 = e3
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5610), (5656) are inconsistent by sub-proof
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #958.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5657)  all_56_9 = e2 & op(e3, e0) = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5657) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5658)  all_56_9 = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5620) gives:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5659)  all_54_4 = e1
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5659) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5660)  all_52_1 = e1
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5660) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5661)  $false
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5661) is inconsistent.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5662)  all_54_4 = e0
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (5662) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5663)  all_52_1 = e0
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (5663) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5664)   ~ (all_52_9 = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5664) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5665)   ~ (all_52_9 = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (5663) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5666)   ~ (all_52_13 = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5666) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5667)   ~ (all_52_13 = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4884), (5663) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5668)   ~ (e3 = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4906), (5663) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5669)   ~ (e2 = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4857), (5663) imply:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5670)   ~ (e1 = e0)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5671)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (36), (163), (229), (386), (4869),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4870), (4911), (5623), (5671), (function-axioms)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #683.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5672)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5672) gives:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5673)  all_56_5 = e3 & op(e2, e1) = e3
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5673) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5674)  op(e2, e1) = e3
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (164), (165), (167), (169), (206), (207),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (210), (212), (213), (214), (215), (216), (217),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (222), (224), (227), (228),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (230), (234), (236), (386), (387), (4329),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4334), (4857), (4858), (4861), (4863), (4869),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4870), (4895), (4911), (5610), (5623), (5658),
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5665), (5667), (5674), (function-axioms) are
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #668.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5675)  all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5675) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5676)  all_56_10 = e3
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5610), (5676) are inconsistent by sub-proof
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #958.
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | |   (5677)  all_56_13 = e2 & op(e0, e2) = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5677) implies:
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | |   (5678)  op(e0, e2) = e2
% 177.93/26.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (39), (135), (145), (146),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | |            (158), (162), (163), (164), (165), (167), (169),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | |            (170), (206), (207), (210), (212), (213), (214),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | |            (215), (216), (217), (218), (219), (220), (221),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | |            (222), (224), (227), (228), (229), (230), (233),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (284), (386), (387), (4329), (4334),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | |            (4857), (4858), (4861), (4863), (4869), (4870),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | |            (4884), (4895), (4906), (4911), (5610), (5620),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | |            (5678), (function-axioms) are inconsistent by
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #667.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | |   (5679)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5679) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | |   (5680)  all_56_14 = e2 & op(e0, e1) = e2
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5680) implies:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | |   (5681)  all_56_14 = e2
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (5682)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (213),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (216), (229), (233), (386), (4334), (4863),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |            (4869), (4870), (4911), (5682), (function-axioms)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #689.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (5683)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5683) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5684)  all_56_5 = e3 & op(e2, e1) = e3
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5684) implies:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5685)  all_56_5 = e3
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5686)  op(e2, e1) = e3
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (217), (218), (4334),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | |            (5681), (5685), (5686), (function-axioms) are
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #979.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5687)  all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5687) implies:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5688)  all_56_10 = e3
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5610), (5688) are inconsistent by sub-proof
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | |            #958.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | |   (5689)  all_56_15 = e2 & op(e0, e0) = e2
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5689) implies:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | |   (5690)  op(e0, e0) = e2
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (5690), (function-axioms) are
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | |   (5691)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 177.93/26.82  | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (163), (213),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | |            (214), (216), (389), (4334), (4858), (5691),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.82  | | | | | | | | | | | | | | | | | | |            #634.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | |   (5692)  all_54_5 = e1 | all_54_5 = e0
% 177.93/26.82  | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (392), (4898), (5692) are inconsistent by
% 177.93/26.82  | | | | | | | | | | | | | | | | | |            sub-proof #1353.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | |   (5693)  all_28_2 = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (5693) imply:
% 177.93/26.82  | | | | | | | | | | | | | | | |   (5694)  all_10_2 = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | SIMP: (5694) implies:
% 177.93/26.82  | | | | | | | | | | | | | | | |   (5695)  all_10_2 = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | REDUCE: (367), (5695) imply:
% 177.93/26.82  | | | | | | | | | | | | | | | |   (5696)   ~ (all_52_6 = e1)
% 177.93/26.82  | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | REDUCE: (373), (5695) imply:
% 177.93/26.82  | | | | | | | | | | | | | | | |   (5697)   ~ (all_52_13 = e1)
% 177.93/26.82  | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | REDUCE: (390), (5695) imply:
% 177.93/26.82  | | | | | | | | | | | | | | | |   (5698)   ~ (e3 = e1)
% 177.93/26.82  | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | REDUCE: (45), (5695) imply:
% 177.93/26.82  | | | | | | | | | | | | | | | |   (5699)  op(e2, e2) = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | |   (5700)  all_54_9 = e3
% 177.93/26.82  | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4886), (5700) are inconsistent by
% 177.93/26.82  | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 177.93/26.82  | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | |   (5701)   ~ (all_54_9 = e3)
% 177.93/26.82  | | | | | | | | | | | | | | | | |   (5702)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 177.93/26.82  | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | BETA: splitting (5702) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | |   (5703)  all_54_9 = e2
% 177.93/26.82  | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4329), (5703) are inconsistent by
% 177.93/26.82  | | | | | | | | | | | | | | | | | |            sub-proof #1323.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | |   (5704)   ~ (all_54_9 = e2)
% 177.93/26.82  | | | | | | | | | | | | | | | | | |   (5705)  all_54_9 = e1 | all_54_9 = e0
% 177.93/26.82  | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | |   (5706)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | BETA: splitting (5706) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | |   (5707)  all_56_6 = e1 & op(e1, e3) = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | ALPHA: (5707) implies:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | |   (5708)  op(e1, e3) = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4858), (5708), (function-axioms) are
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1597.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | |   (5709)  all_56_7 = e1 & op(e1, e2) = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | ALPHA: (5709) implies:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | |   (5710)  all_56_7 = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | |   (5711)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (163), (4869), (4870), (5710), (5711),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | |            #633.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | |   (5712)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5712) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | |   (5713)  all_56_8 = e0 & op(e1, e1) = e0
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5713) implies:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | |   (5714)  op(e1, e1) = e0
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4334), (5714), (function-axioms) are
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | |   (5715)  all_56_11 = e0 & op(e1, e0) = e0
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5715) implies:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | |   (5716)  op(e1, e0) = e0
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (273), (5696), (5705), (5716),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | |            #1046.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | |   (5717)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 177.93/26.82  | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | BETA: splitting (5717) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | |   (5718)  all_56_8 = e1 & op(e1, e1) = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | ALPHA: (5718) implies:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | |   (5719)  op(e1, e1) = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (5719), (function-axioms) are
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | |   (5720)  all_56_11 = e1 & op(e1, e0) = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | ALPHA: (5720) implies:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | |   (5721)  all_56_11 = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | |   (5722)  op(e1, e0) = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | |   (5723)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5723) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | |   (5724)  all_56_2 = e1 & op(e2, e3) = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (4857), (5724), (function-axioms) are
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1352.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | |   (5725)  all_56_3 = e1 & op(e2, e2) = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5725) implies:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | |   (5726)  all_56_3 = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | |   (5727)  all_54_9 = e3
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4886), (5727) are inconsistent by
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5702) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | |   (5728)  all_54_9 = e2
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4329), (5728) are inconsistent by
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1323.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5705) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (5729)  all_54_9 = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (5696), (5729) are inconsistent by
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1322.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (5730)  all_54_9 = e0
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (5730) imply:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (5731)  all_52_6 = e0
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5731) implies:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (5732)  all_52_6 = e0
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (5732) imply:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (5733)   ~ (all_52_4 = e0)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5732) imply:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (5734)   ~ (all_52_7 = e0)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5734) implies:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (5735)   ~ (all_52_7 = e0)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (5732) imply:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (5736)   ~ (all_52_14 = e0)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5736) implies:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (5737)   ~ (all_52_14 = e0)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4886), (5732) imply:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (5738)   ~ (e3 = e0)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4329), (5732) imply:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (5739)   ~ (e2 = e0)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5696), (5732) imply:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (5740)   ~ (e1 = e0)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5741)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5741) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5742)  all_56_12 = e1 & op(e0, e3) = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (91), (159),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (229), (233), (235), (386), (4334), (4856),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4863), (5742), (function-axioms) are inconsistent
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #654.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5743)  all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5743) implies:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5744)  all_56_13 = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (113),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (117), (135), (145), (146), (148), (158), (159),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (162), (163), (164), (165), (167), (168),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (192), (197), (198), (200), (201),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (209), (210), (211), (212),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (213), (214), (215), (216), (217), (218), (220),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (222), (223), (224), (227), (228), (229), (230),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (234), (236), (239), (251), (254), (264),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (275), (276), (284), (285), (364), (375), (383),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (384), (386), (387), (389), (4329), (4334),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4341), (4857), (4858), (4859), (4862), (4863),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4869), (4870), (4884), (4885), (4895), (4896),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5697), (5699), (5721), (5722), (5726), (5733),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5735), (5737), (5744), (function-axioms) are
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #617.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5745)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5745) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5746)  all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5746) implies:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5747)  all_56_14 = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5748)  op(e0, e1) = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (113),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (117), (135), (145), (146), (148), (158), (159),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (162), (163), (164), (165), (167), (168),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (192), (197), (198), (200), (201),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (208), (209), (210), (211), (212), (213),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (216), (217), (218), (220), (222),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (227), (229), (230), (233), (234),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (236), (239), (251), (254), (264), (275), (276),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (284), (285), (364), (375), (383), (384), (386),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (389), (4329), (4334), (4341), (4857),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4858), (4859), (4862), (4863), (4869), (4870),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4884), (4885), (4895), (4896), (5697), (5699),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5721), (5722), (5726), (5733), (5737), (5747),
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5748), (function-axioms) are inconsistent by
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #618.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5749)  all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5749) implies:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5750)  op(e0, e0) = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (5750), (function-axioms) are
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | |   (5751)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5751) gives:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | |   (5752)  all_56_5 = e1 & op(e2, e1) = e1
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.82  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5752) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | |   (5753)  all_56_5 = e1
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | |   (5754)  op(e2, e1) = e1
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | |   (5755)  all_54_9 = e3
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4886), (5755) are inconsistent by
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5702) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | |   (5756)  all_54_9 = e2
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4329), (5756) are inconsistent by
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1323.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5705) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5757)  all_54_9 = e1
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (5696), (5757) are inconsistent by
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1322.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5758)  all_54_9 = e0
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (5758) imply:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5759)  all_52_6 = e0
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5759) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5760)  all_52_6 = e0
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (5760) imply:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5761)   ~ (all_52_4 = e0)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5760) imply:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5762)   ~ (all_52_7 = e0)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5762) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5763)   ~ (all_52_7 = e0)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4886), (5760) imply:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5764)   ~ (e3 = e0)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4329), (5760) imply:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5765)   ~ (e2 = e0)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5696), (5760) imply:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5766)   ~ (e1 = e0)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5767)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (213),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (216), (229), (233), (386), (4334), (4863),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | |            (4869), (4870), (5699), (5767), (function-axioms)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #626.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5768)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5768) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5769)  all_56_5 = e3 & op(e2, e1) = e3
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5769) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5770)  op(e2, e1) = e3
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5754), (5770), (function-axioms) are
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5771)  all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5771) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5772)  all_56_10 = e3
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5773)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5773) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5774)  all_56_9 = e2 & op(e3, e0) = e2
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5774) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5775)  all_56_9 = e2
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5776)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5776) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5777)  all_56_2 = e0 & op(e2, e3) = e0
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5777) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5778)  op(e2, e3) = e0
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5779)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (4863), (5778), (5779),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #622.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5780)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5780) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5781)  all_56_6 = e2 & op(e1, e3) = e2
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5781) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5782)  all_56_6 = e2
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4895), (5782) are inconsistent by sub-proof
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1454.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5783)  all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5783) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5784)  all_56_12 = e2
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5785)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5785) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5786)  all_56_12 = e1 & op(e0, e3) = e1
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (91), (159),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (229), (233), (235), (386), (4334), (4856),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4863), (5786), (function-axioms) are inconsistent
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #654.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5787)  all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5787) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5788)  all_56_13 = e1
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (158),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (162), (163), (169), (170), (206), (207), (208),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (211), (213), (214), (215), (216), (217),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (224), (227), (228), (229), (230), (233),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (387), (389), (4329), (4334),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4858), (4863), (4869), (4870), (4895), (5699),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5721), (5753), (5754), (5761), (5763), (5784),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5788), (function-axioms) are inconsistent by
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #627.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5789)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5789) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5790)  all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5790) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5791)  all_56_14 = e1
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (36), (169), (170), (220),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (386), (4334), (5754), (5761), (5775),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5791), (function-axioms) are inconsistent by
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #897.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5792)  all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5792) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5793)  op(e0, e0) = e1
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (5793), (function-axioms) are
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5794)  all_56_3 = e0 & op(e2, e2) = e0
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5794) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5795)  op(e2, e2) = e0
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5699), (5795), (function-axioms) are
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1310.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5796)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5796) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5797)  all_56_5 = e0 & op(e2, e1) = e0
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5753), (5797) are inconsistent by sub-proof
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #883.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5798)  all_56_10 = e0 & op(e2, e0) = e0
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5772), (5798) are inconsistent by sub-proof
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #882.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5799)  all_56_10 = e2 & op(e2, e0) = e2
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5772), (5799) are inconsistent by sub-proof
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1502.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5800)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (163), (213),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (216), (389), (4334), (4858), (5800),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #634.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | |   (5801)  all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5801) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | |   (5802)  all_56_10 = e1
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | |   (5803)  all_54_9 = e3
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4886), (5803) are inconsistent by
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5702) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | |   (5804)  all_54_9 = e2
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (4329), (5804) are inconsistent by
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1323.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5705) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5805)  all_54_9 = e1
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (5696), (5805) are inconsistent by
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1322.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5806)  all_54_9 = e0
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (5806) imply:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5807)  all_52_6 = e0
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5807) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5808)  all_52_6 = e0
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (5808) imply:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5809)   ~ (all_52_4 = e0)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5808) imply:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5810)   ~ (all_52_7 = e0)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5810) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5811)   ~ (all_52_7 = e0)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (5808) imply:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5812)   ~ (all_52_14 = e0)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5812) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5813)   ~ (all_52_14 = e0)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4886), (5808) imply:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5814)   ~ (e3 = e0)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4329), (5808) imply:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5815)   ~ (e2 = e0)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5696), (5808) imply:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (5816)   ~ (e1 = e0)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5817)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5817) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5818)  all_56_9 = e2 & op(e3, e0) = e2
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5818) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5819)  all_56_9 = e2
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5820)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (5802), (5819), (5820) are inconsistent
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1210.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5821)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5821) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5822)  all_56_11 = e3 & op(e1, e0) = e3
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5822) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5823)  all_56_11 = e3
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5721), (5823) are inconsistent by sub-proof
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1209.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5824)  all_56_15 = e3 & op(e0, e0) = e3
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5824) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5825)  op(e0, e0) = e3
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5826)  all_56_15 = e0 & op(e0, e0) = e0
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5826) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5827)  op(e0, e0) = e0
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5825), (5827), (function-axioms) are
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5828)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5828) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5829)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5830)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (213),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (216), (229), (233), (386), (4334), (4863),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4869), (4870), (5699), (5830), (function-axioms)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #626.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5831)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5831) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5832)  all_56_5 = e3 & op(e2, e1) = e3
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5832) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5833)  all_56_5 = e3
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5834)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5834) gives:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5835)  all_56_4 = e1 & op(e3, e1) = e1
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (170), (230),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (4863), (5809), (5835),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #632.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5836)  all_56_5 = e1 & op(e2, e1) = e1
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5836) implies:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5837)  op(e2, e1) = e1
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (158),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (207), (208), (220), (230), (386),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (389), (4334), (5809), (5811), (5819),
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5829), (5837), (function-axioms) are inconsistent
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #629.
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5838)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5838) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5839)  all_56_8 = e1 & op(e1, e1) = e1
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5839) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5840)  op(e1, e1) = e1
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4334), (5840), (function-axioms) are
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5841)  all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5841) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5842)  all_56_14 = e1
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5843)  op(e0, e1) = e1
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5844)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5844) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5845)  all_56_1 = e1 & op(e3, e2) = e1
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5845) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5846)  all_56_1 = e1
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (169), (230),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (236), (386), (4863), (5819), (5846),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1398.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5847)  all_56_3 = e1 & op(e2, e2) = e1
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5847) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5848)  all_56_3 = e1
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (113),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (117), (135), (145), (146), (148), (158), (159),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (162), (163), (164), (165), (167), (168),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (192), (197), (198), (200), (201),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (208), (209), (210), (211), (212), (213),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (215), (216), (217), (218), (220), (222),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (227), (229), (230), (233), (234),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (236), (239), (251), (254), (264), (275), (276),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (284), (285), (364), (375), (383), (384), (386),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (389), (4329), (4334), (4341), (4857),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4858), (4859), (4862), (4863), (4869), (4870),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4884), (4885), (4895), (4896), (5697), (5699),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5721), (5722), (5809), (5813), (5842), (5843),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5848), (function-axioms) are inconsistent by
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #618.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5849)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5849) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5850)  all_56_7 = e1 & op(e1, e2) = e1
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5850) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5851)  all_56_7 = e1
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (162), (163), (213), (215),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4329), (4869), (4870), (4895), (5721), (5851),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #664.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5852)  all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5852) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5853)  all_56_13 = e1
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5854)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5854) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5855)  all_56_1 = e3 & op(e3, e2) = e3
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5855) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5856)  all_56_1 = e3
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5857)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5857) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5858)  all_56_1 = e2 & op(e3, e2) = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5858) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5859)  all_56_1 = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5856), (5859) imply:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5860)  e3 = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5860) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5861)  e3 = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5833), (5861) imply:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5862)  all_56_5 = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (220),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4334), (5843), (5862), (function-axioms) are
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #893.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5863)  all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5863) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5864)  all_56_3 = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5865)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5865) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5866)  all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5866) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5867)  all_56_12 = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (158), (5811), (5829), (5843), (5867),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #753.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5868)  all_56_13 = e2 & op(e0, e2) = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5868) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5869)  all_56_13 = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5853), (5869) imply:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5870)  e2 = e1
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5864), (5870) imply:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5871)  all_56_3 = e1
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (113),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (117), (135), (145), (146), (148), (158), (159),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (160), (162), (163), (164), (165), (167), (168),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (192), (197), (198), (200), (201),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (209), (210), (211), (212),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (213), (214), (215), (216), (217), (218), (220),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (222), (223), (224), (227), (228), (229), (230),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (234), (236), (239), (251), (254), (264),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (275), (276), (284), (285), (364), (375), (383),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (384), (386), (387), (389), (4329), (4334),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4341), (4857), (4858), (4859), (4862), (4863),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4869), (4870), (4884), (4885), (4895), (4896),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5697), (5699), (5721), (5722), (5809), (5811),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5813), (5853), (5871), (function-axioms) are
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #617.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5872)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5872) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5873)  all_56_14 = e2 & op(e0, e1) = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5873) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5874)  all_56_14 = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (170),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (218), (220), (230), (386), (4334), (5809),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5819), (5874), (function-axioms) are inconsistent
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #625.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5875)  all_56_15 = e2 & op(e0, e0) = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5875) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5876)  op(e0, e0) = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (5876), (function-axioms) are
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5877)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5877) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5878)  all_56_7 = e2 & op(e1, e2) = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5878) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5879)  op(e1, e2) = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4329), (5879), (function-axioms) are
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5880)  all_56_13 = e2 & op(e0, e2) = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5880) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5881)  all_56_13 = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5853), (5881) imply:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5882)  e2 = e1
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5819), (5882) imply:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5883)  all_56_9 = e1
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (170),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (234), (236), (386), (4863), (5809),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5883), (function-axioms) are inconsistent by
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1059.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5884)  all_56_3 = e3 & op(e2, e2) = e3
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5884) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5885)  op(e2, e2) = e3
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5699), (5885), (function-axioms) are
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5886)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (163), (213),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (4329), (4869), (4870), (4895), (5721),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5853), (5886), (function-axioms) are inconsistent
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #628.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5887)  all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5887) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5888)  all_56_10 = e3
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5802), (5888) are inconsistent by sub-proof
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1489.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5889)  all_56_10 = e2 & op(e2, e0) = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5889) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5890)  all_56_10 = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5802), (5890) are inconsistent by sub-proof
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1064.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5891)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (163), (213),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (216), (389), (4334), (4858), (5891),
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | |            #634.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | |   (5892)  all_56_12 = e3 & op(e0, e3) = e3
% 177.93/26.84  | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | ALPHA: (5892) implies:
% 177.93/26.84  | | | | | | | | | | | | | | |   (5893)  all_56_12 = e3
% 177.93/26.84  | | | | | | | | | | | | | | |   (5894)  op(e0, e3) = e3
% 177.93/26.84  | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | |   (5895)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 177.93/26.84  | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 177.93/26.84  | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | BETA: splitting (5895) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | |   (5896)  all_56_0 = e2 & op(e3, e3) = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | ALPHA: (5896) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | |   (5897)  op(e3, e3) = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4863), (5897), (function-axioms) are
% 177.93/26.84  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 177.93/26.84  | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | |   (5898)  all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | ALPHA: (5898) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | |   (5899)  op(e2, e3) = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | |   (5900)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 177.93/26.84  | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 177.93/26.84  | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (5899), (5900),
% 177.93/26.84  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.84  | | | | | | | | | | | | | | | | | |            #1181.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | |   (5901)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 177.93/26.84  | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 177.93/26.84  | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (163), (4869), (4870), (5893), (5901),
% 177.93/26.84  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.84  | | | | | | | | | | | | | | | | | |            #616.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | End of split
% 177.93/26.84  | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | |   (5902)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 177.93/26.84  | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 177.93/26.84  | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | BETA: splitting (5902) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | |   (5903)  all_56_6 = e2 & op(e1, e3) = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | ALPHA: (5903) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | |   (5904)  all_56_6 = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | |   (5905)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 177.93/26.84  | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 177.93/26.84  | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | BETA: splitting (5905) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | |   (5906)  all_56_0 = e0 & op(e3, e3) = e0
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | ALPHA: (5906) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | |   (5907)  op(e3, e3) = e0
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (5907), (function-axioms) are
% 177.93/26.84  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | |   (5908)  all_56_2 = e0 & op(e2, e3) = e0
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | ALPHA: (5908) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | |   (5909)  op(e2, e3) = e0
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | |   (5910)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | BETA: splitting (5910) gives:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | |   (5911)  all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | ALPHA: (5911) implies:
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | |   (5912)  all_56_12 = e2
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5893), (5912) are inconsistent by sub-proof
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | |            #1555.
% 177.93/26.84  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | |   (5913)  all_56_13 = e2 & op(e0, e2) = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | ALPHA: (5913) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | |   (5914)  all_56_13 = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | |   (5915)  op(e0, e2) = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | |   (5916)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5916) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | |   (5917)  all_56_1 = e3 & op(e3, e2) = e3
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5917) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | |   (5918)  all_56_1 = e3
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | |   (5919)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5919) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (5920)  all_56_12 = e1 & op(e0, e3) = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5920) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (5921)  op(e0, e3) = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (5894), (5921), (function-axioms) are
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1529.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (5922)  all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5914), (5922) are inconsistent by sub-proof
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | |            #1122.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | |   (5923)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5923) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (5924)  all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5924) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (5925)  all_56_14 = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (5926)  op(e0, e1) = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5927)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (135), (158), (170), (4863), (5915), (5927),
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            #690.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (5928)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5928) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5929)  all_56_4 = e2 & op(e3, e1) = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5929) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5930)  all_56_4 = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5931)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5931) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5932)  all_56_4 = e0 & op(e3, e1) = e0
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5932) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5933)  all_56_4 = e0
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5930), (5933) are inconsistent by sub-proof
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1394.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5934)  all_56_5 = e0 & op(e2, e1) = e0
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5934) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5935)  all_56_5 = e0
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5936)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5936) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5937)  all_56_2 = e3 & op(e2, e3) = e3
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5937) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5938)  all_56_2 = e3
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (213),
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (216), (229), (233), (386), (4334), (4863),
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4869), (4870), (5904), (5938), (function-axioms)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #695.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5939)  all_56_3 = e3 & op(e2, e2) = e3
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5939) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5940)  op(e2, e2) = e3
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5941)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5941) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5942)  all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5942) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5943)  op(e2, e3) = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5909), (5943), (function-axioms) are
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1412.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5944)  all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5944) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5945)  op(e2, e2) = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5940), (5945), (function-axioms) are
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5946)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5946) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5947)  all_56_5 = e2 & op(e2, e1) = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5947) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5948)  all_56_5 = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (220),
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4334), (5926), (5948), (function-axioms) are
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #893.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5949)  all_56_10 = e2 & op(e2, e0) = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5949) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5950)  all_56_10 = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5951)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5951) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5952)  all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5952) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5953)  all_56_9 = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (4863), (5930), (5953),
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1373.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5954)  all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (162), (227), (4329), (5914), (5918),
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5940), (5950), (5954), (function-axioms) are
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #614.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5955)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5955) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5956)  all_56_11 = e1 & op(e1, e0) = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5956) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5957)  all_56_11 = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5958)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (4857), (5940), (5958),
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #613.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5959)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5959) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5960)  all_56_5 = e1 & op(e2, e1) = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5960) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5961)  all_56_5 = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5935), (5961) imply:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5962)  e1 = e0
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5957), (5962) imply:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5963)  all_56_11 = e0
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (214), (216), (4334),
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5904), (5963), (function-axioms) are inconsistent
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1162.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5964)  all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (162), (227), (4329), (5914), (5918),
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5940), (5950), (5964), (function-axioms) are
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #614.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5965)  all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5965) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5966)  op(e0, e0) = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (5966), (function-axioms) are
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5967)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5967) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5968)  all_56_5 = e3 & op(e2, e1) = e3
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5935), (5968) are inconsistent by sub-proof
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1332.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5969)  all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5969) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5970)  all_56_10 = e3
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5971)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5971) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5972)  all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5972) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5973)  op(e2, e3) = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5909), (5973), (function-axioms) are
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1412.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5974)  all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5974) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5975)  all_56_3 = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5976)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5976) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5977)  all_56_1 = e1 & op(e3, e2) = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5977) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5978)  all_56_1 = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (230), (236),
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (4863), (5930), (5978), (function-axioms)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1187.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5979)  all_56_3 = e1 & op(e2, e2) = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5975), (5979) are inconsistent by sub-proof
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1065.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5980)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5980) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5981)  all_56_7 = e1 & op(e1, e2) = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (213), (214),
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (4334), (4869), (4870), (5904), (5981),
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #612.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5982)  all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5982) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5983)  all_56_13 = e1
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5914), (5983) are inconsistent by sub-proof
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1086.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5984)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (220),
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4334), (5926), (5970), (5984), (function-axioms)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #611.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5985)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (4334), (5926), (5985),
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #916.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5986)  all_56_9 = e2 & op(e3, e0) = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5986) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5987)  all_56_9 = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5988)  all_56_15 = e0 & op(e0, e0) = e0
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5988) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5989)  op(e0, e0) = e0
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5990)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5990) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5991)  all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5987), (5991) are inconsistent by sub-proof
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1401.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5992)  all_56_10 = e3 & op(e2, e0) = e3
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5992) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5993)  all_56_10 = e3
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5994)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (5918), (5994),
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1572.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5995)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5995) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5996)  all_56_4 = e0 & op(e3, e1) = e0
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5996) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5997)  all_56_4 = e0
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5998)  op(e3, e1) = e0
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (5999)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5999) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6000)  all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6000) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6001)  op(e2, e3) = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5909), (6001), (function-axioms) are
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1412.
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6002)  all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6002) implies:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6003)  all_56_3 = e2
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6004)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6004) gives:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6005)  all_56_2 = e1 & op(e2, e3) = e1
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (4857), (6005), (function-axioms) are
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1352.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6006)  all_56_3 = e1 & op(e2, e2) = e1
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6006) implies:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6007)  all_56_3 = e1
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6003), (6007) imply:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6008)  e2 = e1
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5987), (6008) imply:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6009)  all_56_9 = e1
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (169), (234), (236),
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4863), (5997), (5998), (6009), (function-axioms)
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1375.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6010)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6010) gives:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6011)  all_56_5 = e1 & op(e2, e1) = e1
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6011) implies:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6012)  op(e2, e1) = e1
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (4334), (5925), (5997),
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6012), (function-axioms) are inconsistent by
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #906.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6013)  all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6013) implies:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6014)  all_56_10 = e1
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5993), (6014) imply:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6015)  e3 = e1
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6015) implies:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6016)  e3 = e1
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5918), (6016) imply:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6017)  all_56_1 = e1
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (236), (4863), (5987),
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (5998), (6017), (function-axioms) are inconsistent
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1399.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6018)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (220),
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4334), (5926), (5993), (6018), (function-axioms)
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #611.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6019)  all_56_9 = e0 & op(e3, e0) = e0
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6019) implies:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6020)  all_56_9 = e0
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5987), (6020) are inconsistent by sub-proof
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1570.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6021)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6021) gives:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6022)  all_56_11 = e3 & op(e1, e0) = e3
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6022) implies:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6023)  all_56_11 = e3
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6024)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (163), (214), (4334), (4858),
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4869), (4870), (6023), (6024), (function-axioms)
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #662.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6025)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (216),
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (4334), (5904), (6025), (function-axioms) are
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #696.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6026)  all_56_15 = e3 & op(e0, e0) = e3
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6026) implies:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6027)  op(e0, e0) = e3
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5989), (6027), (function-axioms) are
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6028)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6028) implies:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6029)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (5893), (5914), (5926), (6029),
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #712.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | |   (6030)  all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6030) implies:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | |   (6031)  op(e0, e0) = e1
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6031), (function-axioms) are
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | |   (6032)  all_56_3 = e3 & op(e2, e2) = e3
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6032) implies:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | |   (6033)  op(e2, e2) = e3
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | |   (6034)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (4863), (6033), (6034),
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | |            #610.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | |   (6035)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6035) gives:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | |   (6036)  all_56_7 = e1 & op(e1, e2) = e1
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (213), (214),
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (4334), (4869), (4870), (5904), (6036),
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | |            #612.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | |   (6037)  all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5914), (6037) are inconsistent by sub-proof
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | |            #1122.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | |   (6038)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6038) gives:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | |   (6039)  all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6039) implies:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | |   (6040)  all_56_7 = e3
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (213), (214),
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | |            (216), (4334), (4869), (4870), (5904), (6040),
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | |            #676.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | |   (6041)  all_56_13 = e3 & op(e0, e2) = e3
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5914), (6041) are inconsistent by sub-proof
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | |            #760.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | |   (6042)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | BETA: splitting (6042) gives:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | |   (6043)  all_56_14 = e2 & op(e0, e1) = e2
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | ALPHA: (6043) implies:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | |   (6044)  all_56_14 = e2
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (217), (218),
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | |            (220), (4334), (6044), (function-axioms) are
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #976.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | |   (6045)  all_56_15 = e2 & op(e0, e0) = e2
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | ALPHA: (6045) implies:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | |   (6046)  op(e0, e0) = e2
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (6046), (function-axioms) are
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | |   (6047)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 177.93/26.86  | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 177.93/26.86  | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (163), (4869), (4870), (5893), (6047),
% 177.93/26.86  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.86  | | | | | | | | | | | | | | | | | |            #616.
% 177.93/26.86  | | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | |   (6048)  all_56_12 = e2 & op(e0, e3) = e2
% 177.93/26.86  | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5893), (6048) are inconsistent by sub-proof
% 177.93/26.86  | | | | | | | | | | | | | | | | |            #714.
% 177.93/26.86  | | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | |   (6049)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 177.93/26.86  | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | BETA: splitting (6049) gives:
% 177.93/26.86  | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | |   (6050)  all_54_8 = e2
% 177.93/26.86  | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | COMBINE_EQS: (4872), (6050) imply:
% 177.93/26.86  | | | | | | | | | | | | | |   (6051)  all_40_1 = e2
% 177.93/26.86  | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | REDUCE: (4880), (6051) imply:
% 177.93/26.86  | | | | | | | | | | | | | |   (6052)  $false
% 177.93/26.86  | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | CLOSE: (6052) is inconsistent.
% 177.93/26.86  | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | |   (6053)  all_54_8 = e1 | all_54_8 = e0
% 177.93/26.86  | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | BETA: splitting (6053) gives:
% 177.93/26.86  | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | |   (6054)  all_54_8 = e1
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | COMBINE_EQS: (4872), (6054) imply:
% 177.93/26.86  | | | | | | | | | | | | | | |   (6055)  all_40_1 = e1
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | REDUCE: (4881), (6055) imply:
% 177.93/26.86  | | | | | | | | | | | | | | |   (6056)  $false
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | CLOSE: (6056) is inconsistent.
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | |   (6057)  all_54_8 = e0
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | COMBINE_EQS: (4872), (6057) imply:
% 177.93/26.86  | | | | | | | | | | | | | | |   (6058)  all_40_1 = e0
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | REDUCE: (4869), (6058) imply:
% 177.93/26.86  | | | | | | | | | | | | | | |   (6059)  $false
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | CLOSE: (6059) is inconsistent.
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | | 
% 177.93/26.86  | | | | | | | | End of split
% 177.93/26.86  | | | | | | | | 
% 177.93/26.86  | | | | | | | End of split
% 177.93/26.86  | | | | | | | 
% 177.93/26.86  | | | | | | End of split
% 177.93/26.86  | | | | | | 
% 177.93/26.86  | | | | | Case 2:
% 177.93/26.86  | | | | | | 
% 177.93/26.86  | | | | | |   (6060)  all_12_2 = e0
% 177.93/26.86  | | | | | |   (6061)  ( ~ (all_12_0 = e3) & op(e0, e0) = all_12_0 &
% 177.93/26.86  | | | | | |             $i(all_12_0)) | ( ~ (all_12_1 = e1) & op(e0, e2) =
% 177.93/26.86  | | | | | |             all_12_1 & $i(all_12_1))
% 177.93/26.86  | | | | | | 
% 177.93/26.86  | | | | | | COMBINE_EQS: (335), (6060) imply:
% 177.93/26.86  | | | | | |   (6062)  all_10_2 = e0
% 177.93/26.86  | | | | | | 
% 177.93/26.86  | | | | | | SIMP: (6062) implies:
% 177.93/26.86  | | | | | |   (6063)  all_10_2 = e0
% 177.93/26.86  | | | | | | 
% 177.93/26.86  | | | | | | REDUCE: (362), (6063) imply:
% 177.93/26.86  | | | | | |   (6064)   ~ (all_52_1 = e0)
% 177.93/26.86  | | | | | | 
% 177.93/26.86  | | | | | | REDUCE: (365), (6063) imply:
% 177.93/26.86  | | | | | |   (6065)   ~ (all_52_4 = e0)
% 177.93/26.86  | | | | | | 
% 177.93/26.86  | | | | | | REDUCE: (367), (6063) imply:
% 177.93/26.86  | | | | | |   (6066)   ~ (all_52_6 = e0)
% 177.93/26.86  | | | | | | 
% 177.93/26.86  | | | | | | REDUCE: (369), (6063) imply:
% 177.93/26.86  | | | | | |   (6067)   ~ (all_52_7 = e0)
% 177.93/26.86  | | | | | | 
% 177.93/26.86  | | | | | | REDUCE: (371), (6063) imply:
% 177.93/26.86  | | | | | |   (6068)   ~ (all_52_9 = e0)
% 177.93/26.86  | | | | | | 
% 177.93/26.86  | | | | | | REDUCE: (373), (6063) imply:
% 177.93/26.86  | | | | | |   (6069)   ~ (all_52_13 = e0)
% 177.93/26.86  | | | | | | 
% 177.93/26.86  | | | | | | REDUCE: (390), (6063) imply:
% 177.93/26.86  | | | | | |   (6070)   ~ (e3 = e0)
% 177.93/26.86  | | | | | | 
% 177.93/26.86  | | | | | | BETA: splitting (225) gives:
% 177.93/26.86  | | | | | | 
% 177.93/26.86  | | | | | | Case 1:
% 177.93/26.86  | | | | | | | 
% 177.93/26.86  | | | | | | |   (6071)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 &
% 177.93/26.86  | | | | | | |             op(e2, e2) = e0)
% 177.93/26.86  | | | | | | | 
% 177.93/26.86  | | | | | | | BETA: splitting (6071) gives:
% 177.93/26.86  | | | | | | | 
% 177.93/26.86  | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | 
% 177.93/26.86  | | | | | | | |   (6072)  all_56_1 = e0 & op(e3, e2) = e0
% 177.93/26.86  | | | | | | | | 
% 177.93/26.86  | | | | | | | | REF_CLOSE: (170), (6065), (6072), (function-axioms) are
% 177.93/26.86  | | | | | | | |            inconsistent by sub-proof #1466.
% 177.93/26.86  | | | | | | | | 
% 177.93/26.86  | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | 
% 177.93/26.86  | | | | | | | |   (6073)  all_56_3 = e0 & op(e2, e2) = e0
% 177.93/26.86  | | | | | | | | 
% 177.93/26.86  | | | | | | | | ALPHA: (6073) implies:
% 177.93/26.86  | | | | | | | |   (6074)  all_56_3 = e0
% 177.93/26.86  | | | | | | | |   (6075)  op(e2, e2) = e0
% 177.93/26.86  | | | | | | | | 
% 177.93/26.86  | | | | | | | | BETA: splitting (52) gives:
% 177.93/26.86  | | | | | | | | 
% 177.93/26.86  | | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | | 
% 177.93/26.86  | | | | | | | | |   (6076)   ~ (all_14_2 = e2)
% 177.93/26.86  | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | BETA: splitting (55) gives:
% 177.93/26.86  | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | |   (6077)   ~ (all_16_2 = e3)
% 177.93/26.86  | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | REDUCE: (338), (6077) imply:
% 177.93/26.86  | | | | | | | | | |   (6078)   ~ (all_14_2 = e3)
% 177.93/26.86  | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | BETA: splitting (58) gives:
% 177.93/26.86  | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | |   (6079)   ~ (all_18_2 = e1)
% 177.93/26.86  | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | REDUCE: (342), (6079) imply:
% 177.93/26.86  | | | | | | | | | | |   (6080)   ~ (all_4_2 = e1)
% 177.93/26.86  | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | BETA: splitting (70) gives:
% 177.93/26.86  | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | |   (6081)   ~ (all_26_2 = e0)
% 177.93/26.86  | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | REDUCE: (318), (6081) imply:
% 177.93/26.86  | | | | | | | | | | | |   (6082)   ~ (all_14_2 = e0)
% 177.93/26.86  | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | BETA: splitting (194) gives:
% 177.93/26.86  | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | |   (6083)  all_54_10 = e3
% 177.93/26.86  | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | COMBINE_EQS: (349), (6083) imply:
% 177.93/26.86  | | | | | | | | | | | | |   (6084)  all_14_2 = e3
% 177.93/26.86  | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | REDUCE: (6078), (6084) imply:
% 177.93/26.86  | | | | | | | | | | | | |   (6085)  $false
% 177.93/26.86  | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | CLOSE: (6085) is inconsistent.
% 177.93/26.86  | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | |   (6086)   ~ (all_54_10 = e3)
% 177.93/26.86  | | | | | | | | | | | | |   (6087)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 177.93/26.86  | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | BETA: splitting (6087) gives:
% 177.93/26.86  | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | |   (6088)  all_54_10 = e2
% 177.93/26.86  | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | COMBINE_EQS: (349), (6088) imply:
% 177.93/26.86  | | | | | | | | | | | | | |   (6089)  all_14_2 = e2
% 177.93/26.86  | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | REDUCE: (6076), (6089) imply:
% 177.93/26.86  | | | | | | | | | | | | | |   (6090)  $false
% 177.93/26.86  | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | CLOSE: (6090) is inconsistent.
% 177.93/26.86  | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | Case 2:
% 177.93/26.86  | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | |   (6091)   ~ (all_54_10 = e2)
% 177.93/26.86  | | | | | | | | | | | | | |   (6092)  all_54_10 = e1 | all_54_10 = e0
% 177.93/26.86  | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | BETA: splitting (6092) gives:
% 177.93/26.86  | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | |   (6093)  all_54_10 = e1
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | COMBINE_EQS: (349), (6093) imply:
% 177.93/26.86  | | | | | | | | | | | | | | |   (6094)  all_14_2 = e1
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | REDUCE: (363), (6094) imply:
% 177.93/26.86  | | | | | | | | | | | | | | |   (6095)   ~ (all_52_2 = e1)
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | REDUCE: (376), (6094) imply:
% 177.93/26.86  | | | | | | | | | | | | | | |   (6096)   ~ (all_52_8 = e1)
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | REDUCE: (377), (6094) imply:
% 177.93/26.86  | | | | | | | | | | | | | | |   (6097)   ~ (all_52_9 = e1)
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | REDUCE: (379), (6094) imply:
% 177.93/26.86  | | | | | | | | | | | | | | |   (6098)   ~ (all_52_11 = e1)
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | REDUCE: (381), (6094) imply:
% 177.93/26.86  | | | | | | | | | | | | | | |   (6099)   ~ (all_52_14 = e1)
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | REDUCE: (6078), (6094) imply:
% 177.93/26.86  | | | | | | | | | | | | | | |   (6100)   ~ (e3 = e1)
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | REDUCE: (6076), (6094) imply:
% 177.93/26.86  | | | | | | | | | | | | | | |   (6101)   ~ (e2 = e1)
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | REDUCE: (51), (6094) imply:
% 177.93/26.86  | | | | | | | | | | | | | | |   (6102)  op(e1, e1) = e1
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 177.93/26.86  | | | | | | | | | | | | | | | 
% 177.93/26.86  | | | | | | | | | | | | | | | Case 1:
% 177.93/26.86  | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | |   (6103)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 177.93/26.87  | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 177.93/26.87  | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6080), (6103),
% 177.93/26.87  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.87  | | | | | | | | | | | | | | | |            #609.
% 177.93/26.87  | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87  | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | |   (6104)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 177.93/26.87  | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 177.93/26.87  | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_30 & $i(all_57_30))
% 177.93/26.87  | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | BETA: splitting (6104) gives:
% 177.93/26.87  | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | |   (6105)  all_57_30 = e1 & op(e1, e1) = e1
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | ALPHA: (6105) implies:
% 177.93/26.87  | | | | | | | | | | | | | | | | |   (6106)  all_57_30 = e1
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (76),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (79), (103), (110), (112), (113), (117), (118),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (120), (121), (123), (125), (126), (128), (133),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (134), (135), (136), (141), (143), (144), (146),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (148), (149), (158), (159), (160), (162), (163),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (164), (165), (167), (168), (169), (170), (189),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (190), (191), (192), (193), (195), (196), (197),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (198), (200), (201), (203), (204), (206), (207),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (208), (209), (210), (211), (212), (213), (214),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (215), (216), (217), (218), (219), (220), (222),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (223), (224), (226), (227), (228), (229), (230),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (231), (232), (233), (234), (235), (236), (246),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (247), (248), (249), (254), (261), (262), (263),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (264), (265), (273), (274), (275), (276), (284),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (285), (287), (294), (296), (343), (344), (351),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (353), (355), (357), (359), (361), (375), (384),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (385), (386), (387), (389), (6061), (6064),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (6065), (6066), (6067), (6068), (6069), (6074),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (6075), (6080), (6095), (6096), (6097), (6098),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (6099), (6102), (6106), (function-axioms) are
% 177.93/26.87  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #444.
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | |   (6107)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 177.93/26.87  | | | | | | | | | | | | | | | | |             (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 177.93/26.87  | | | | | | | | | | | | | | | | |             $i(all_57_30))
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | BETA: splitting (6107) gives:
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | |   (6108)  all_57_31 = e1 & op(e0, e0) = e1
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | ALPHA: (6108) implies:
% 177.93/26.87  | | | | | | | | | | | | | | | | | |   (6109)  op(e0, e0) = e1
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6109), (function-axioms) are
% 177.93/26.87  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | |   (6110)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 177.93/26.87  | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | ALPHA: (6110) implies:
% 177.93/26.87  | | | | | | | | | | | | | | | | | |   (6111)  op(e1, e1) = all_57_30
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | |   (6112)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 177.93/26.87  | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | BETA: splitting (6112) gives:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |   (6113)  all_56_4 = e1 & op(e3, e1) = e1
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | ALPHA: (6113) implies:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |   (6114)  all_56_4 = e1
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (220), (6068), (6102), (6114), (function-axioms)
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1467.
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |              all_57_30, e1, e1, simplifying with (6102), (6111)
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |              gives:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |   (6115)  all_57_30 = e1
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (76),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (79), (103), (110), (112), (113), (117), (118),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (120), (121), (123), (125), (126), (128), (133),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (134), (135), (136), (141), (143), (144), (146),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (148), (149), (158), (159), (160), (162), (163),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (168), (169), (170), (189),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (190), (191), (192), (193), (195), (196), (197),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (198), (200), (201), (203), (204), (206), (207),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (208), (209), (210), (211), (212), (213), (214),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (215), (216), (217), (218), (219), (220), (222),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (223), (224), (226), (227), (228), (229), (230),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (231), (232), (233), (234), (235), (236), (246),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (247), (248), (249), (254), (261), (262), (263),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (264), (265), (273), (274), (275), (276), (284),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (285), (287), (294), (296), (343), (344), (351),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (353), (355), (357), (359), (361), (375), (384),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (385), (386), (387), (389), (6061), (6064),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (6065), (6066), (6067), (6068), (6069), (6074),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (6075), (6080), (6095), (6096), (6097), (6098),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (6099), (6102), (6115), (function-axioms) are
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #444.
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | |   (6116)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 177.93/26.87  | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | BETA: splitting (6116) gives:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |   (6117)  all_56_8 = e1 & op(e1, e1) = e1
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |              all_57_30, e1, e1, simplifying with (6102), (6111)
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |              gives:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |   (6118)  all_57_30 = e1
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (76),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (79), (103), (110), (112), (113), (117), (118),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (120), (121), (123), (125), (126), (128), (133),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (134), (135), (136), (141), (143), (144), (146),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (148), (149), (158), (159), (160), (162), (163),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (168), (169), (170), (189),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (190), (191), (192), (193), (195), (196), (197),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (198), (200), (201), (203), (204), (206), (207),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (208), (209), (210), (211), (212), (213), (214),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (215), (216), (217), (218), (219), (220), (222),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (223), (224), (226), (227), (228), (229), (230),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (231), (232), (233), (234), (235), (236), (246),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (247), (248), (249), (254), (261), (262), (263),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (264), (265), (273), (274), (275), (276), (284),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (285), (287), (294), (296), (343), (344), (351),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (353), (355), (357), (359), (361), (375), (384),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (385), (386), (387), (389), (6061), (6064),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (6065), (6066), (6067), (6068), (6069), (6074),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (6075), (6080), (6095), (6096), (6097), (6098),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (6099), (6102), (6118), (function-axioms) are
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #444.
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |   (6119)  all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | ALPHA: (6119) implies:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |   (6120)  all_56_14 = e1
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (220), (6068), (6102), (6120), (function-axioms)
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #599.
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | End of split
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | End of split
% 177.93/26.87  | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | End of split
% 177.93/26.87  | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | Case 2:
% 177.93/26.87  | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | |   (6121)  all_54_10 = e0
% 177.93/26.87  | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | COMBINE_EQS: (349), (6121) imply:
% 177.93/26.87  | | | | | | | | | | | | | | |   (6122)  all_14_2 = e0
% 177.93/26.87  | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | REDUCE: (6082), (6122) imply:
% 177.93/26.87  | | | | | | | | | | | | | | |   (6123)  $false
% 177.93/26.87  | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | CLOSE: (6123) is inconsistent.
% 177.93/26.87  | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | End of split
% 177.93/26.87  | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | End of split
% 177.93/26.87  | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | End of split
% 177.93/26.87  | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | Case 2:
% 177.93/26.87  | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | |   (6124)  all_26_2 = e0
% 177.93/26.87  | | | | | | | | | | | |   (6125)  ( ~ (all_26_0 = e3) & op(e0, e0) = all_26_0 &
% 177.93/26.87  | | | | | | | | | | | |             $i(all_26_0)) | ( ~ (all_26_1 = e2) & op(e0, e1)
% 177.93/26.87  | | | | | | | | | | | |             = all_26_1 & $i(all_26_1))
% 177.93/26.87  | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | COMBINE_EQS: (318), (6124) imply:
% 177.93/26.87  | | | | | | | | | | | |   (6126)  all_14_2 = e0
% 177.93/26.87  | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | REDUCE: (363), (6126) imply:
% 177.93/26.87  | | | | | | | | | | | |   (6127)   ~ (all_52_2 = e0)
% 177.93/26.87  | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | REDUCE: (376), (6126) imply:
% 177.93/26.87  | | | | | | | | | | | |   (6128)   ~ (all_52_8 = e0)
% 177.93/26.87  | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | REDUCE: (6076), (6126) imply:
% 177.93/26.87  | | | | | | | | | | | |   (6129)   ~ (e2 = e0)
% 177.93/26.87  | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | REDUCE: (51), (6126) imply:
% 177.93/26.87  | | | | | | | | | | | |   (6130)  op(e1, e1) = e0
% 177.93/26.87  | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | BETA: splitting (229) gives:
% 177.93/26.87  | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | Case 1:
% 177.93/26.87  | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | |   (6131)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 177.93/26.87  | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 177.93/26.87  | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | REF_CLOSE: (36), (167), (386), (6064), (6131),
% 177.93/26.87  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.87  | | | | | | | | | | | | |            #929.
% 177.93/26.87  | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | Case 2:
% 177.93/26.87  | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | |   (6132)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 177.93/26.87  | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 177.93/26.87  | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | BETA: splitting (6132) gives:
% 177.93/26.87  | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | Case 1:
% 177.93/26.87  | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | |   (6133)  all_56_6 = e0 & op(e1, e3) = e0
% 177.93/26.87  | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | REF_CLOSE: (163), (6127), (6133), (function-axioms) are
% 177.93/26.87  | | | | | | | | | | | | | |            inconsistent by sub-proof #1197.
% 177.93/26.87  | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | Case 2:
% 177.93/26.87  | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | |   (6134)  all_56_12 = e0 & op(e0, e3) = e0
% 177.93/26.87  | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | ALPHA: (6134) implies:
% 177.93/26.87  | | | | | | | | | | | | | |   (6135)  all_56_12 = e0
% 177.93/26.87  | | | | | | | | | | | | | |   (6136)  op(e0, e3) = e0
% 177.93/26.87  | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 177.93/26.87  | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | Case 1:
% 177.93/26.87  | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | |   (6137)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 177.93/26.87  | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 177.93/26.87  | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (6065), (6137),
% 177.93/26.87  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.87  | | | | | | | | | | | | | | |            #1060.
% 177.93/26.87  | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | Case 2:
% 177.93/26.87  | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | |   (6138)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 177.93/26.87  | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 177.93/26.87  | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | BETA: splitting (6138) gives:
% 177.93/26.87  | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87  | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | |   (6139)  all_56_4 = e0 & op(e3, e1) = e0
% 177.93/26.87  | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | ALPHA: (6139) implies:
% 177.93/26.87  | | | | | | | | | | | | | | | |   (6140)  op(e3, e1) = e0
% 177.93/26.87  | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 177.93/26.87  | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | |   (6141)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 177.93/26.87  | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6080), (6141),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.87  | | | | | | | | | | | | | | | | |            #609.
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | |   (6142)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 177.93/26.87  | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 177.93/26.87  | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & $i(all_57_17))
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | BETA: splitting (6142) gives:
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | |   (6143)  all_57_30 = e1 & op(e1, e1) = e1
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | ALPHA: (6143) implies:
% 177.93/26.87  | | | | | | | | | | | | | | | | | |   (6144)  op(e1, e1) = e1
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6130), (6144), (function-axioms) are
% 177.93/26.87  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | |   (6145)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 177.93/26.87  | | | | | | | | | | | | | | | | | |             (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 177.93/26.87  | | | | | | | | | | | | | | | | | |             $i(all_57_17))
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (169), (387), (6128), (6140), (6145),
% 177.93/26.87  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.87  | | | | | | | | | | | | | | | | | |            #443.
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | End of split
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | End of split
% 177.93/26.87  | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87  | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | |   (6146)  all_56_9 = e0 & op(e3, e0) = e0
% 177.93/26.87  | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | ALPHA: (6146) implies:
% 177.93/26.87  | | | | | | | | | | | | | | | |   (6147)  all_56_9 = e0
% 177.93/26.87  | | | | | | | | | | | | | | | |   (6148)  op(e3, e0) = e0
% 177.93/26.87  | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 177.93/26.87  | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | |   (6149)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 177.93/26.87  | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6080), (6149),
% 177.93/26.87  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.87  | | | | | | | | | | | | | | | | |            #609.
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | |   (6150)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 177.93/26.87  | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 177.93/26.87  | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_30 & $i(all_57_30))
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | BETA: splitting (6150) gives:
% 177.93/26.87  | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | |   (6151)  all_57_30 = e1 & op(e1, e1) = e1
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | ALPHA: (6151) implies:
% 177.93/26.87  | | | | | | | | | | | | | | | | | |   (6152)  op(e1, e1) = e1
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6130), (6152), (function-axioms) are
% 177.93/26.87  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | |   (6153)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 177.93/26.87  | | | | | | | | | | | | | | | | | |             (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 177.93/26.87  | | | | | | | | | | | | | | | | | |             $i(all_57_30))
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | BETA: splitting (6153) gives:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | |   (6154)  all_57_31 = e1 & op(e0, e0) = e1
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | ALPHA: (6154) implies:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | |   (6155)  op(e0, e0) = e1
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6155), (function-axioms) are
% 177.93/26.87  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | |   (6156)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 177.93/26.87  | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | ALPHA: (6156) implies:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | |   (6157)   ~ (all_57_30 = e1)
% 177.93/26.87  | | | | | | | | | | | | | | | | | | |   (6158)  op(e1, e1) = all_57_30
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |   (6159)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6080), (6159),
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | |            #609.
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.87  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | |   (6160)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = all_57_27 & $i(all_57_27))
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | BETA: splitting (6160) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | |   (6161)  all_57_30 = e1 & op(e1, e1) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | ALPHA: (6161) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | |   (6162)  op(e1, e1) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6130), (6162), (function-axioms) are
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | |   (6163)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | |             (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_27))
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6163) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | |   (6164)  all_57_31 = e1 & op(e0, e0) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6164) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | |   (6165)  op(e0, e0) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6165), (function-axioms) are
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | |   (6166)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_27)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6166) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | |   (6167)  op(e0, e1) = all_57_27
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | |   (6168)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6080), (6168),
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | |            #609.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | |   (6169)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & $i(all_57_17))
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6169) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | |   (6170)  all_57_30 = e1 & op(e1, e1) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6170) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | |   (6171)  op(e1, e1) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6130), (6171), (function-axioms) are
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | |   (6172)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_17))
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6172) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (6173)  all_57_31 = e1 & op(e0, e0) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6173) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (6174)  op(e0, e0) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6174), (function-axioms) are
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (6175)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_17)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6175) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (6176)  op(e3, e1) = all_57_17
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6177)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6080), (6177),
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            #609.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6178)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_20 & $i(all_57_20))
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6178) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6179)  all_57_30 = e1 & op(e1, e1) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6179) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6180)  op(e1, e1) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6130), (6180), (function-axioms) are
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6181)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20))
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6181) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6182)  all_57_31 = e1 & op(e0, e0) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6182) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6183)  op(e0, e0) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6183), (function-axioms) are
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6184)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_20)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6184) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6185)   ~ (all_57_20 = e2)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6186)  op(e2, e1) = all_57_20
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (157), (6167)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6187)  all_57_27 = all_52_11
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (6136) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6188)  all_52_3 = e0
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30, e1, e1, simplifying with (6130), (6158)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6189)  all_57_30 = e0
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (165), (6186)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6190)  all_57_20 = all_52_9
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e0, e3, simplifying with (168), (6148) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6191)  all_52_12 = e0
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17, e1, e3, simplifying with (169), (6176)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6192)  all_57_17 = all_52_8
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6185), (6190) imply:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6193)   ~ (all_52_9 = e2)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6157), (6189) imply:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6194)   ~ (e1 = e0)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (6188) imply:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6195)   ~ (all_52_7 = e0)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (6188) imply:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6196)   ~ (all_52_11 = e0)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6196) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6197)   ~ (all_52_11 = e0)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (6191) imply:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6198)   ~ (all_6_2 = e0)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6198) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6199)   ~ (all_6_2 = e0)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (6191) imply:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6200)   ~ (all_4_2 = e0)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6201)  all_54_15 = e3
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6201) imply:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6202)  all_6_2 = e3
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6202) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6203)  all_6_2 = e3
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (6203) imply:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6204)   ~ (all_52_7 = e3)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (6203) imply:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6205)   ~ (all_52_11 = e3)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (6203) imply:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6206)  op(e0, e0) = e3
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6061) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6207)   ~ (all_12_0 = e3) & op(e0, e0) = all_12_0 &
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_12_0)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6207) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6208)   ~ (all_12_0 = e3)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6209)  op(e0, e0) = all_12_0
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6206), (6208), (6209), (function-axioms) are
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #545.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6210)   ~ (all_12_1 = e1) & op(e0, e2) = all_12_1 &
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_12_1)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6210) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6211)   ~ (all_12_1 = e1)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6212)  op(e0, e2) = all_12_1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6125) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6213)   ~ (all_26_0 = e3) & op(e0, e0) = all_26_0 &
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_0)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6213) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6214)   ~ (all_26_0 = e3)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6215)  op(e0, e0) = all_26_0
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6206), (6214), (6215), (function-axioms) are
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1191.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6216)   ~ (all_26_1 = e2) & op(e0, e1) = all_26_1 &
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_26_1)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6216) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6217)  op(e0, e1) = all_26_1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6218)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6218) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6219)  all_56_4 = e3 & op(e3, e1) = e3
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6219) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6220)  all_56_4 = e3
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6221)  op(e3, e1) = e3
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6222)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6222) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6223)  all_56_4 = e2 & op(e3, e1) = e2
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6223) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6224)  all_56_4 = e2
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6220), (6224) are inconsistent by sub-proof
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1285.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6225)  all_56_5 = e2 & op(e2, e1) = e2
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6225) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6226)  op(e2, e1) = e2
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (198), (276), (6068), (6193), (6226),
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1145.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6227)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6227) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6228)  all_56_8 = e2 & op(e1, e1) = e2
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6228) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6229)  op(e1, e1) = e2
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6130), (6229), (function-axioms) are
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6230)  all_56_14 = e2 & op(e0, e1) = e2
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6230) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6231)  all_56_14 = e2
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6232)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6232) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6233)  all_56_12 = e1 & op(e0, e3) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6233) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6234)  all_56_12 = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (158), (206), (6067), (6206),
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6231), (6234), (function-axioms) are inconsistent
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1274.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6235)  all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6235) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6236)  all_56_13 = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6237)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6237) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6238)  all_56_0 = e1 & op(e3, e3) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6238) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6239)  op(e3, e3) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (6080), (6239), (function-axioms) are
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1525.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6240)  all_56_1 = e1 & op(e3, e2) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6240) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6241)  all_56_1 = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (227), (228), (6075),
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6236), (6241), (function-axioms) are inconsistent
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #441.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6242)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6242) gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6243)  all_56_4 = e1 & op(e3, e1) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6243) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6244)  all_56_4 = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6220), (6244) are inconsistent by sub-proof
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1567.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6245)  all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6245) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6246)  all_56_9 = e1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (36), (169), (170), (230), (386),
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6065), (6221), (6246), (function-axioms) are
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #454.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6247)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (6231), (6247),
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #992.
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6248)  all_56_5 = e3 & op(e2, e1) = e3
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6248) implies:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6249)  op(e2, e1) = e3
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_26_1, e1, e0, simplifying with (157), (6217)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6250)  all_52_11 = all_26_1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_12_1, e2, e0, simplifying with (158), (6212)
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6251)  all_52_7 = all_12_1
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 177.93/26.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (6249) gives:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6252)  all_52_9 = e3
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (6250) imply:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6253)  all_54_14 = all_26_1
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (6251) imply:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6254)  all_54_13 = all_12_1
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6187), (6250) imply:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6255)  all_57_27 = all_26_1
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6251) imply:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6256)   ~ (all_52_4 = all_12_1)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (6251) imply:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6257)   ~ (all_52_6 = all_12_1)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6250), (6251) imply:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6258)   ~ (all_26_1 = all_12_1)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6258) implies:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6259)   ~ (all_26_1 = all_12_1)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6204), (6251) imply:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6260)   ~ (all_12_1 = e3)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6067), (6251) imply:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6261)   ~ (all_12_1 = e0)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (6252) imply:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6262)   ~ (all_52_8 = e3)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6205), (6250) imply:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6263)   ~ (all_26_1 = e3)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6197), (6250) imply:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6264)   ~ (all_26_1 = e0)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6265)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6265) gives:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6266)  all_56_12 = e1 & op(e0, e3) = e1
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6266) implies:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6267)  op(e0, e3) = e1
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6136), (6267), (function-axioms) are
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1589.
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6268)  all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6268) implies:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6269)  all_56_13 = e1
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6270)  all_54_13 = e3
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6254), (6260), (6270) are inconsistent by
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #536.
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6271)   ~ (all_54_13 = e3)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6272)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6272) gives:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6273)  all_54_13 = e2
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6254), (6273) imply:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6274)  all_12_1 = e2
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6274) implies:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6275)  all_12_1 = e2
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6256), (6275) imply:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6276)   ~ (all_52_4 = e2)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6257), (6275) imply:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6277)   ~ (all_52_6 = e2)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6259), (6275) imply:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6278)   ~ (all_26_1 = e2)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6260), (6275) imply:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6279)   ~ (e3 = e2)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6280)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (39), (135), (158), (170), (191), (249),
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (389), (6075), (6130), (6148), (6192), (6211),
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6212), (6254), (6260), (6261), (6262), (6280),
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #438.
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6281)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6281) gives:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6282)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6075), (6249), (6282), (function-axioms) are
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #513.
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6283)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6283) gives:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6284)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6284) implies:
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6285)  all_57_17 = e1
% 177.93/26.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6192), (6285) imply:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6286)  all_52_8 = e1
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (6286) imply:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6287)   ~ (all_52_4 = e1)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (6286) imply:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6288)   ~ (all_4_2 = e1)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6289)  all_54_1 = e3
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (6289) imply:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6290)  all_52_4 = e3
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6290) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6291)  all_52_4 = e3
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (6291) imply:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6292)   ~ (all_4_2 = e3)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6292) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6293)   ~ (all_4_2 = e3)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6294)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (36), (204), (232),
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (236), (294), (386), (6080), (6147), (6249),
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6293), (6294), (function-axioms) are inconsistent
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #435.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6295)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6295) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6296)  all_56_8 = e2 & op(e1, e1) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6296) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6297)  op(e1, e1) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6130), (6297), (function-axioms) are
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6298)  all_56_14 = e2 & op(e0, e1) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6298) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6299)  all_56_14 = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6300)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6300) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6301)  all_56_0 = e3 & op(e3, e3) = e3
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (204), (294), (386), (6080), (6293), (6301),
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #437.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6302)  all_56_1 = e3 & op(e3, e2) = e3
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6302) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6303)  all_56_1 = e3
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6304)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6304) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6305)  all_56_6 = e3 & op(e1, e3) = e3
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6305) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6306)  all_56_6 = e3
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6307)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6307) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6308)  all_56_0 = e1 & op(e3, e3) = e1
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6308) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6309)  op(e3, e3) = e1
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (6080), (6309), (function-axioms) are
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1525.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6310)  all_56_2 = e1 & op(e2, e3) = e1
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6310) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6311)  all_56_2 = e1
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6312)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6312) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6313)  all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6313) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6314)  all_56_2 = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6311), (6314) imply:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6315)  e2 = e1
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (204), (219),
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (236), (294), (386), (6080), (6130),
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6147), (6249), (6293), (6299), (6315),
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #433.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6316)  all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6316) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6317)  op(e2, e2) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6075), (6317), (function-axioms) are
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6318)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6318) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6319)  all_56_5 = e2 & op(e2, e1) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6319) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6320)  op(e2, e1) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6249), (6320), (function-axioms) are
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1297.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6321)  all_56_10 = e2 & op(e2, e0) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6321) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6322)  all_56_10 = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6323)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6323) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6324)  all_56_0 = e2 & op(e3, e3) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6324) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6325)  op(e3, e3) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6326)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6326) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6327)  all_56_6 = e2 & op(e1, e3) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6327) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6328)  all_56_6 = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (231), (235), (6135),
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6136), (6325), (6328), (function-axioms) are
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #445.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6329)  all_56_7 = e2 & op(e1, e2) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6329) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6330)  op(e1, e2) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6277), (6330), (function-axioms) are
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6331)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6331) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6332)  all_56_8 = e2 & op(e1, e1) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6332) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6333)  op(e1, e1) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6130), (6333), (function-axioms) are
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6334)  all_56_11 = e2 & op(e1, e0) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6334) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6335)  all_56_11 = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6336)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6336) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6337)  all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6337) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6338)  all_56_9 = e1
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6147), (6338) are inconsistent by sub-proof
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1484.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6339)  all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6339) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6340)  all_56_10 = e1
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6322), (6340) imply:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6341)  e2 = e1
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6335), (6341) imply:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6342)  all_56_11 = e1
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (162), (215), (6130), (6277),
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6306), (6342), (function-axioms) are inconsistent
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1228.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6343)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (162), (215), (387), (6130),
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6277), (6306), (6343), (function-axioms) are
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1034.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6344)  all_56_1 = e2 & op(e3, e2) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6344) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6345)  op(e3, e2) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (170), (191), (6211), (6212),
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6254), (6260), (6261), (6345), (function-axioms)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #533.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6346)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6346) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6347)  all_56_4 = e2 & op(e3, e1) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6347) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6348)  all_56_4 = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (36), (232), (6080), (6147),
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6303), (6348), (function-axioms) are inconsistent
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1125.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6349)  all_56_9 = e2 & op(e3, e0) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6147), (6349) are inconsistent by sub-proof
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #973.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6350)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (158), (206), (6067), (6206),
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6299), (6306), (6350), (function-axioms) are
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #432.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6351)  all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6351) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6352)  all_56_7 = e3
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (6075), (6269), (6303),
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6352), (function-axioms) are inconsistent by
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #546.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6353)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6353) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6354)  all_56_8 = e3 & op(e1, e1) = e3
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6354) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6355)  op(e1, e1) = e3
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6130), (6355), (function-axioms) are
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6356)  all_56_11 = e3 & op(e1, e0) = e3
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6356) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6357)  all_56_11 = e3
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6358)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6358) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6359)  all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6359) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6360)  all_56_9 = e1
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6147), (6360) are inconsistent by sub-proof
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1484.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6361)  all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6361) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6362)  all_56_10 = e1
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6363)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6363) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6364)  all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6364) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6365)  all_56_2 = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6366)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (135), (158),
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (170), (191), (223), (224), (229), (231),
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (386), (6075), (6211), (6212), (6254),
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6260), (6261), (6362), (6365), (6366),
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #431.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6367)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6367) gives:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6368)  all_56_4 = e2 & op(e3, e1) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6368) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6369)  all_56_4 = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (36), (232), (6080), (6147),
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6303), (6369), (function-axioms) are inconsistent
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1125.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6370)  all_56_9 = e2 & op(e3, e0) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6370) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6371)  all_56_9 = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6147), (6371) are inconsistent by sub-proof
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1570.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6372)  all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6372) implies:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6373)  op(e2, e2) = e2
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6075), (6373), (function-axioms) are
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6374)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 177.93/26.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (204), (219),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (236), (294), (386), (6080), (6130),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6147), (6249), (6293), (6299), (6362), (6374),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #430.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6375)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (387), (6357), (6375),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1110.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6376)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6376) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6377)  all_56_4 = e3 & op(e3, e1) = e3
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6377) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6378)  all_56_4 = e3
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6379)  op(e3, e1) = e3
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6380)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6380) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6381)  all_56_6 = e3 & op(e1, e3) = e3
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6381) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6382)  all_56_6 = e3
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6383)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6383) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6384)  all_56_0 = e1 & op(e3, e3) = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6384) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6385)  op(e3, e3) = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (6080), (6385), (function-axioms) are
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1525.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6386)  all_56_2 = e1 & op(e2, e3) = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6386) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6387)  all_56_2 = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6388)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6388) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6389)  all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6389) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6390)  all_56_2 = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6387), (6390) imply:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6391)  e2 = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6299), (6391) imply:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6392)  all_56_14 = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (204), (219),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (236), (294), (386), (6080), (6130),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6147), (6249), (6293), (6392), (function-axioms)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #434.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6393)  all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6393) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6394)  op(e2, e2) = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6075), (6394), (function-axioms) are
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6395)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6395) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6396)  all_56_5 = e2 & op(e2, e1) = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6396) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6397)  op(e2, e1) = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6249), (6397), (function-axioms) are
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1297.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6398)  all_56_10 = e2 & op(e2, e0) = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6398) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6399)  all_56_10 = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6400)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6400) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6401)  all_56_0 = e2 & op(e3, e3) = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6401) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6402)  op(e3, e3) = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6403)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6403) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6404)  all_56_4 = e1 & op(e3, e1) = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6404) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6405)  all_56_4 = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6378), (6405) imply:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6406)  e3 = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (159), (229), (231),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (386), (6080), (6382), (6387), (6402),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6406), (function-axioms) are inconsistent by
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1518.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6407)  all_56_5 = e1 & op(e2, e1) = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6407) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6408)  op(e2, e1) = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (6075), (6387), (6399),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6408), (function-axioms) are inconsistent by
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #428.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6409)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6409) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6410)  all_56_8 = e1 & op(e1, e1) = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6410) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6411)  op(e1, e1) = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (170), (210), (213), (215), (216), (230),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (387), (6065), (6066), (6379), (6399),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6411), (function-axioms) are inconsistent by
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #462.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6412)  all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6412) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6413)  all_56_14 = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (204), (219),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (236), (294), (386), (6080), (6130),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6147), (6249), (6293), (6413), (function-axioms)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #434.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6414)  all_56_1 = e2 & op(e3, e2) = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6414) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6415)  op(e3, e2) = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (170), (191), (6211), (6212),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6254), (6260), (6261), (6415), (function-axioms)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #533.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6416)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (170),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (204), (230), (232), (236), (294), (386), (6065),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6080), (6147), (6293), (6379), (6416),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #427.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6417)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (158), (206), (6067), (6206),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6299), (6382), (6417), (function-axioms) are
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #432.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6418)  all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6418) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6419)  all_56_7 = e3
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (135), (158), (170), (191), (227),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6075), (6211), (6212), (6254), (6260), (6261),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6269), (6419), (function-axioms) are inconsistent
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #526.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6420)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6420) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6421)  all_56_8 = e3 & op(e1, e1) = e3
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6421) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6422)  op(e1, e1) = e3
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (6068), (6378), (6422), (function-axioms)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #425.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6423)  all_56_11 = e3 & op(e1, e0) = e3
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6423) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6424)  all_56_11 = e3
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6425)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6425) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6426)  all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6426) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6427)  all_56_9 = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (36), (169), (170), (230), (386),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6065), (6379), (6427), (function-axioms) are
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #454.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6428)  all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6428) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6429)  all_56_10 = e1
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6430)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6430) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6431)  all_56_2 = e2 & op(e2, e3) = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6431) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6432)  all_56_2 = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6433)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (135), (158),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (170), (191), (223), (224), (229), (231),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (386), (6075), (6211), (6212), (6254),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6260), (6261), (6429), (6432), (6433),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #431.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6434)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (170),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (204), (230), (232), (236), (294), (386), (6065),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6080), (6147), (6293), (6379), (6434),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #427.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6435)  all_56_3 = e2 & op(e2, e2) = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6435) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6436)  op(e2, e2) = e2
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6075), (6436), (function-axioms) are
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6437)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (204), (219),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (236), (294), (386), (6080), (6130),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6147), (6249), (6293), (6299), (6429), (6437),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #430.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6438)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (387), (6424), (6438),
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1110.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6439)  all_56_9 = e3 & op(e3, e0) = e3
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6439) implies:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6440)  op(e3, e0) = e3
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6148), (6440), (function-axioms) are
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1189.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6441)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (6065), (6276), (6287), (6441) are
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1057.
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6442)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (190), (6189), (6217), (6249), (6253),
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6255), (6263), (6264), (6278), (6442),
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1174.
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6443)  all_54_13 = e1 | all_54_13 = e0
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6211), (6254), (6261), (6443) are inconsistent by
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #535.
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6444)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6444) gives:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6445)  all_56_14 = e1 & op(e0, e1) = e1
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6445) implies:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6446)  all_56_14 = e1
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6447)  all_54_13 = e3
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6254), (6260), (6447) are inconsistent by
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #536.
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6448)   ~ (all_54_13 = e3)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6449)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6449) gives:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6450)  all_54_13 = e2
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6254), (6450) imply:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6451)  all_12_1 = e2
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6451) implies:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6452)  all_12_1 = e2
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6256), (6452) imply:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6453)   ~ (all_52_4 = e2)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6259), (6452) imply:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6454)   ~ (all_26_1 = e2)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6260), (6452) imply:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6455)   ~ (e3 = e2)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6456)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (39), (135), (158), (170), (191), (249),
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (389), (6075), (6130), (6148), (6192), (6211),
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6212), (6254), (6260), (6261), (6262), (6456),
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #438.
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6457)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6457) gives:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6458)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6075), (6249), (6458), (function-axioms) are
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #513.
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6459)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6459) gives:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6460)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6460) implies:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6461)  all_57_17 = e1
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6192), (6461) imply:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6462)  all_52_8 = e1
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (6462) imply:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6463)   ~ (all_52_4 = e1)
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (6462) imply:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6464)   ~ (all_4_2 = e1)
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6465)  all_54_1 = e3
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (6465) imply:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6466)  all_52_4 = e3
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6466) implies:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6467)  all_52_4 = e3
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (6467) imply:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6468)   ~ (all_4_2 = e3)
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6468) implies:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6469)   ~ (all_4_2 = e3)
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (204), (219),
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (236), (294), (386), (6080), (6130),
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6147), (6249), (6446), (6469), (function-axioms)
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #434.
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6470)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (6065), (6453), (6463), (6470) are
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1057.
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6471)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6471) gives:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6472)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6472) implies:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6473)  op(e2, e1) = e1
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6249), (6473), (function-axioms) are
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6474)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6474) implies:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6475)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (6189), (6217), (6253), (6255), (6263),
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6264), (6454), (6475), (function-axioms) are
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1175.
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6476)  all_54_13 = e1 | all_54_13 = e0
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6211), (6254), (6261), (6476) are inconsistent by
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #535.
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6477)  all_56_15 = e1 & op(e0, e0) = e1
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6477) implies:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6478)  op(e0, e0) = e1
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6478), (function-axioms) are
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6479)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6479) gives:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6480)  all_56_8 = e3 & op(e1, e1) = e3
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6480) implies:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6481)  op(e1, e1) = e3
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6130), (6481), (function-axioms) are
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6482)  all_56_14 = e3 & op(e0, e1) = e3
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6482) implies:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6483)  all_56_14 = e3
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (207), (208),
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (389), (6135), (6136), (6483),
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1506.
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6484)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (389), (6199), (6484) are
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #424.
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | End of split
% 177.93/26.93  | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | Case 2:
% 177.93/26.93  | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | |   (6485)  all_18_2 = e1
% 177.93/26.93  | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | COMBINE_EQS: (342), (6485) imply:
% 177.93/26.93  | | | | | | | | | | |   (6486)  all_4_2 = e1
% 177.93/26.93  | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | COMBINE_EQS: (346), (6486) imply:
% 177.93/26.93  | | | | | | | | | | |   (6487)  all_40_2 = e1
% 177.93/26.93  | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | REDUCE: (351), (6486) imply:
% 177.93/26.93  | | | | | | | | | | |   (6488)   ~ (all_52_1 = e1)
% 177.93/26.93  | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | REDUCE: (357), (6486) imply:
% 177.93/26.93  | | | | | | | | | | |   (6489)   ~ (all_52_4 = e1)
% 177.93/26.93  | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | REDUCE: (359), (6486) imply:
% 177.93/26.93  | | | | | | | | | | |   (6490)   ~ (all_52_8 = e1)
% 177.93/26.93  | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | REDUCE: (36), (6486) imply:
% 177.93/26.93  | | | | | | | | | | |   (6491)  op(e3, e3) = e1
% 177.93/26.93  | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | BETA: splitting (249) gives:
% 177.93/26.93  | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | Case 1:
% 177.93/26.93  | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | |   (6492)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.93/26.93  | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 177.93/26.93  | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | REF_CLOSE: (5), (6), (6075), (6491), (6492),
% 177.93/26.93  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.93  | | | | | | | | | | | |            #423.
% 177.93/26.93  | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | Case 2:
% 177.93/26.93  | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | |   (6493)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 177.93/26.93  | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 177.93/26.93  | | | | | | | | | | | |             op(e3, e2) = all_57_16 & $i(all_57_16))
% 177.93/26.93  | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | BETA: splitting (6493) gives:
% 177.93/26.93  | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | Case 1:
% 177.93/26.93  | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | |   (6494)  all_57_30 = e2 & op(e1, e1) = e2
% 177.93/26.93  | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | ALPHA: (6494) implies:
% 177.93/26.93  | | | | | | | | | | | | |   (6495)  op(e1, e1) = e2
% 177.93/26.93  | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | REF_CLOSE: (51), (6076), (6495), (function-axioms) are
% 177.93/26.93  | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 177.93/26.93  | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | Case 2:
% 177.93/26.93  | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | |   (6496)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 177.93/26.93  | | | | | | | | | | | | |             (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 177.93/26.93  | | | | | | | | | | | | |             $i(all_57_16))
% 177.93/26.93  | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | BETA: splitting (6496) gives:
% 177.93/26.93  | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | Case 1:
% 177.93/26.93  | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | |   (6497)  all_57_31 = e2 & op(e0, e0) = e2
% 177.93/26.93  | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | ALPHA: (6497) implies:
% 177.93/26.93  | | | | | | | | | | | | | |   (6498)  op(e0, e0) = e2
% 177.93/26.93  | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (6498), (function-axioms) are
% 177.93/26.93  | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 177.93/26.93  | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | Case 2:
% 177.93/26.93  | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | |   (6499)   ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 177.93/26.93  | | | | | | | | | | | | | |           $i(all_57_16)
% 177.93/26.93  | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | ALPHA: (6499) implies:
% 177.93/26.93  | | | | | | | | | | | | | |   (6500)   ~ (all_57_16 = e3)
% 177.93/26.93  | | | | | | | | | | | | | |   (6501)  op(e3, e2) = all_57_16
% 177.93/26.93  | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 177.93/26.93  | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | Case 1:
% 177.93/26.93  | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | |   (6502)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.93/26.93  | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 177.93/26.93  | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (6075), (6491), (6502),
% 177.93/26.93  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.93  | | | | | | | | | | | | | | |            #423.
% 177.93/26.93  | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | Case 2:
% 177.93/26.93  | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | |   (6503)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 177.93/26.93  | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 177.93/26.93  | | | | | | | | | | | | | | |             op(e0, e2) = all_57_26 & $i(all_57_26))
% 177.93/26.93  | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | BETA: splitting (6503) gives:
% 177.93/26.93  | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | Case 1:
% 177.93/26.93  | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | |   (6504)  all_57_30 = e2 & op(e1, e1) = e2
% 177.93/26.93  | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | ALPHA: (6504) implies:
% 177.93/26.93  | | | | | | | | | | | | | | | |   (6505)  op(e1, e1) = e2
% 177.93/26.93  | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | | REF_CLOSE: (51), (6076), (6505), (function-axioms) are
% 177.93/26.93  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 177.93/26.93  | | | | | | | | | | | | | | | | 
% 177.93/26.93  | | | | | | | | | | | | | | | Case 2:
% 177.93/26.93  | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | |   (6506)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 177.93/26.94  | | | | | | | | | | | | | | | |             (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 177.93/26.94  | | | | | | | | | | | | | | | |             $i(all_57_26))
% 177.93/26.94  | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | BETA: splitting (6506) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | |   (6507)  all_57_31 = e2 & op(e0, e0) = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | ALPHA: (6507) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | |   (6508)  op(e0, e0) = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (6508), (function-axioms) are
% 177.93/26.94  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 177.93/26.94  | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | |   (6509)   ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 177.93/26.94  | | | | | | | | | | | | | | | | |           $i(all_57_26)
% 177.93/26.94  | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | ALPHA: (6509) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | |   (6510)   ~ (all_57_26 = e0)
% 177.93/26.94  | | | | | | | | | | | | | | | | |   (6511)  op(e0, e2) = all_57_26
% 177.93/26.94  | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | |   (6512)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.93/26.94  | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (6075), (6491), (6512),
% 177.93/26.94  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.94  | | | | | | | | | | | | | | | | | |            #423.
% 177.93/26.94  | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | |   (6513)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 177.93/26.94  | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 177.93/26.94  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_29 & $i(all_57_29))
% 177.93/26.94  | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | BETA: splitting (6513) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | |   (6514)  all_57_30 = e2 & op(e1, e1) = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | ALPHA: (6514) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | |   (6515)  op(e1, e1) = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (6076), (6515), (function-axioms) are
% 177.93/26.94  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | |   (6516)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 177.93/26.94  | | | | | | | | | | | | | | | | | | |             (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 177.93/26.94  | | | | | | | | | | | | | | | | | | |             $i(all_57_29))
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | BETA: splitting (6516) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | |   (6517)  all_57_31 = e2 & op(e0, e0) = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | ALPHA: (6517) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | |   (6518)  op(e0, e0) = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (6518), (function-axioms) are
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | |   (6519)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | ALPHA: (6519) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | |   (6520)  op(e2, e2) = all_57_29
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | |   (6521)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (6075), (6491), (6521),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | |            #423.
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | |   (6522)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & $i(all_57_23))
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6522) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | |   (6523)  all_57_30 = e2 & op(e1, e1) = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6523) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | |   (6524)  op(e1, e1) = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (6076), (6524), (function-axioms) are
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | |   (6525)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | |             (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23))
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6525) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |   (6526)  all_57_31 = e2 & op(e0, e0) = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6526) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |   (6527)  op(e0, e0) = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (6527), (function-axioms) are
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |   (6528)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_23)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6528) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |   (6529)   ~ (all_57_23 = e1)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |   (6530)  op(e1, e2) = all_57_23
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |              all_57_26, e2, e0, simplifying with (158), (6511)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |   (6531)  all_57_26 = all_52_7
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |              all_57_23, e2, e1, simplifying with (162), (6530)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |   (6532)  all_57_23 = all_52_6
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |              all_57_29, e2, e2, simplifying with (6075), (6520)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |   (6533)  all_57_29 = e0
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |              all_57_16, e2, e3, simplifying with (170), (6501)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |   (6534)  all_57_16 = all_52_4
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6500), (6534) imply:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |   (6535)   ~ (all_52_4 = e3)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6529), (6532) imply:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | |   (6536)   ~ (all_52_6 = e1)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | |   (6537)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6537) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (6538)  all_56_1 = e1 & op(e3, e2) = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6538) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (6539)  op(e3, e2) = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16, e2, e3, simplifying with (6501), (6539)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (6540)  all_57_16 = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6534), (6540) imply:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (6541)  all_52_4 = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6541) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (6542)  all_52_4 = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6489), (6542) imply:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (6543)  $false
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6543) is inconsistent.
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (6544)  all_56_3 = e1 & op(e2, e2) = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6544) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (6545)  op(e2, e2) = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6075), (6545), (function-axioms) are
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1310.
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | |   (6546)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6546) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (6547)  all_56_7 = e1 & op(e1, e2) = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6547) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (6548)  all_56_7 = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (6549)  op(e1, e2) = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (39), (51), (91), (128), (135), (136),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |            (158), (159), (162), (163), (165), (167), (169),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (191), (195), (203), (206), (207), (208),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (210), (211), (213), (214), (215), (216),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (218), (219), (220), (222), (223), (224),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |            (227), (228), (229), (230), (232), (233), (234),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (236), (263), (273), (287), (386), (387),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |            (389), (6061), (6064), (6065), (6066), (6067),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |            (6068), (6074), (6075), (6076), (6487), (6488),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |            (6489), (6491), (6535), (6536), (6548), (6549),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |            #362.
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (6550)  all_56_13 = e1 & op(e0, e2) = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6550) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (6551)  all_56_13 = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (6552)  op(e0, e2) = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6553)  all_54_1 = e3
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (6535), (6553) are inconsistent by
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1344.
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6554)   ~ (all_54_1 = e3)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6555)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6555) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6556)  all_54_1 = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (6556) imply:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6557)  all_52_4 = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6557) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6558)  all_52_4 = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6534), (6558) imply:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6559)  all_57_16 = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (6558) imply:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6560)   ~ (all_52_6 = e2)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6560) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6561)   ~ (all_52_6 = e2)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (6558) imply:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6562)   ~ (all_52_8 = e2)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6562) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6563)   ~ (all_52_8 = e2)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (6558) imply:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6564)   ~ (all_52_12 = e2)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6564) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6565)   ~ (all_52_12 = e2)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6535), (6558) imply:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6566)   ~ (e3 = e2)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (6558) imply:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6567)  op(e3, e2) = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6568)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6568) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6569)  all_56_0 = e2 & op(e3, e3) = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6569) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6570)  op(e3, e3) = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6491), (6570), (function-axioms) are
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6571)  all_56_1 = e2 & op(e3, e2) = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6571) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6572)  all_56_1 = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6573)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6573) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6574)  all_56_6 = e3 & op(e1, e3) = e3
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6574) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6575)  all_56_6 = e3
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6576)  op(e1, e3) = e3
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6577)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (135), (158), (162), (170), (227),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6075), (6561), (6567), (6577), (function-axioms)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #420.
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6578)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6578) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6579)  all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6579) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6580)  all_56_7 = e3
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6581)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (167), (386), (6064), (6581),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #929.
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6582)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6582) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6583)  all_56_6 = e0 & op(e1, e3) = e0
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6583) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6584)  op(e1, e3) = e0
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6576), (6584), (function-axioms) are
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1536.
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6585)  all_56_12 = e0 & op(e0, e3) = e0
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6585) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6586)  all_56_12 = e0
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6587)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (6561), (6575), (6587),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1231.
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6588)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6588) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6589)  all_56_8 = e2 & op(e1, e1) = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6589) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6590)  op(e1, e1) = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (6076), (6590), (function-axioms) are
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6591)  all_56_11 = e2 & op(e1, e0) = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6591) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6592)  all_56_11 = e2
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6593)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6593) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6594)  all_56_6 = e1 & op(e1, e3) = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6594) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6595)  all_56_6 = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (6491),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6586), (6595), (function-axioms) are inconsistent
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #645.
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6596)  all_56_7 = e1 & op(e1, e2) = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6596) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6597)  all_56_7 = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (135),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (158), (162), (167), (170), (207), (208), (227),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (233), (235), (386), (387), (389),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6064), (6075), (6491), (6561), (6567), (6575),
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6576), (6597), (function-axioms) are inconsistent
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #419.
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6598)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6598) gives:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6599)  all_56_8 = e1 & op(e1, e1) = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6599) implies:
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6600)  op(e1, e1) = e1
% 177.93/26.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (162), (213), (6066), (6576),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6592), (6600), (function-axioms) are inconsistent
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1109.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6601)  all_56_11 = e1 & op(e1, e0) = e1
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (6075), (6551), (6572),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6580), (6592), (6601), (function-axioms) are
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #361.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6602)  all_56_13 = e3 & op(e0, e2) = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6602) implies:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6603)  all_56_13 = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6551), (6603) are inconsistent by sub-proof
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1357.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6604)  all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6604) implies:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6605)  all_56_7 = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6061) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6606)   ~ (all_12_0 = e3) & op(e0, e0) = all_12_0 &
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_12_0)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6606) implies:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6607)   ~ (all_12_0 = e3)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6608)  op(e0, e0) = all_12_0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_12_0, e0, e0, simplifying with (39), (6608)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6609)  all_12_0 = all_6_2
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6607), (6609) imply:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6610)   ~ (all_6_2 = e3)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6611)  all_54_15 = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (6610), (6611) are inconsistent by
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1608.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6612)   ~ (all_54_15 = e3)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6613)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6614)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = e3)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (6075), (6491), (6614),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #360.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6615)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = all_57_25 & $i(all_57_25))
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6615) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6616)  all_57_30 = e3 & op(e1, e1) = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6616) implies:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6617)  op(e1, e1) = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6613) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6618)  all_54_15 = e2
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (6618) are inconsistent by sub-proof
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1607.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6619)   ~ (all_54_15 = e2)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6620)  all_54_15 = e1 | all_54_15 = e0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6621)  all_54_3 = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (6621) imply:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6622)  all_52_12 = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6622) implies:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6623)  all_52_12 = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (6623) imply:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6624)   ~ (all_52_8 = e3)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (194), (202), (286), (349), (376), (6076),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6078), (6490), (6563), (6617), (6624),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1445.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6625)   ~ (all_54_3 = e3)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (6625) imply:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6626)   ~ (all_52_12 = e3)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (91), (128), (135), (136), (158), (159), (162),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (165), (167), (168), (169), (170), (191),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (195), (203), (206), (207), (208), (209), (210),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (211), (212), (213), (214), (215), (216), (217),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (222), (223), (224), (227),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (230), (232), (233), (234), (235),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (236), (261), (263), (273), (287), (386), (387),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (389), (6061), (6064), (6065), (6066), (6067),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6068), (6074), (6075), (6076), (6487), (6488),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6489), (6491), (6535), (6536), (6551), (6561),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6567), (6572), (6605), (6610), (6620), (6626),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #356.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6627)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_25))
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6627) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6628)  all_57_31 = e3 & op(e0, e0) = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6628) implies:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6629)  op(e0, e0) = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6607), (6608), (6629), (function-axioms) are
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #545.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6630)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_25)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6630) implies:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6631)   ~ (all_57_25 = e0)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6613) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6632)  all_54_15 = e2
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (6632) are inconsistent by sub-proof
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1607.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6633)   ~ (all_54_15 = e2)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6634)  all_54_15 = e1 | all_54_15 = e0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6634) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6635)  all_54_15 = e1
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (6635) are inconsistent by sub-proof
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1606.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6636)  all_54_15 = e0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (6636) imply:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6637)  all_6_2 = e0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6637) implies:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6638)  all_6_2 = e0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (6638) imply:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6639)   ~ (all_52_14 = e0)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (6638) imply:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6640)   ~ (e2 = e0)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (6638) imply:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6641)   ~ (e1 = e0)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6642)  all_54_3 = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (6642) imply:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6643)  all_52_12 = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6643) implies:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6644)  all_52_12 = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (6644) imply:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6645)   ~ (all_52_8 = e3)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (6644) imply:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6646)  op(e3, e0) = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6647)  all_54_2 = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (6645), (6647) are inconsistent by
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1335.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6648)   ~ (all_54_2 = e3)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6649)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6649) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6650)  all_54_2 = e2
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (6563), (6650) are inconsistent by
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1480.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6651)   ~ (all_54_2 = e2)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6652)  all_54_2 = e1 | all_54_2 = e0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6652) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6653)  all_54_2 = e1
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (6490), (6653) are inconsistent by
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1479.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6654)  all_54_2 = e0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (6654) imply:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6655)  all_52_8 = e0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6655) implies:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6656)  all_52_8 = e0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (6656) imply:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6657)   ~ (all_14_2 = e0)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6657) implies:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6658)   ~ (all_14_2 = e0)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6659)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (6065), (6659),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1060.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6660)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6660) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6661)  all_56_4 = e0 & op(e3, e1) = e0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6661) implies:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6662)  all_56_4 = e0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6663)  op(e3, e1) = e0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6664)  all_54_10 = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (6078), (6664) are inconsistent by
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1621.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6665)   ~ (all_54_10 = e3)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6666)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6666) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6667)  all_54_10 = e2
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (6076), (6667) are inconsistent by
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1620.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6668)   ~ (all_54_10 = e2)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6669)  all_54_10 = e1 | all_54_10 = e0
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6669) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6670)  all_54_10 = e1
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (6670) imply:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6671)  all_14_2 = e1
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6671) implies:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6672)  all_14_2 = e1
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6078), (6672) imply:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6673)   ~ (e3 = e1)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6076), (6672) imply:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6674)   ~ (e2 = e1)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (6672) imply:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6675)  op(e1, e1) = e1
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6676)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e2) = e3)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (6075), (6491), (6676),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #360.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6677)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & $i(all_57_19))
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6677) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6678)  all_57_30 = e3 & op(e1, e1) = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6678) implies:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6679)  op(e1, e1) = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6675), (6679), (function-axioms) are
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6680)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19))
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6680) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6681)  all_57_31 = e3 & op(e0, e0) = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6681) implies:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6682)  op(e0, e0) = e3
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (261), (387), (6610), (6634), (6682),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6683)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_19)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6683) implies:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6684)   ~ (all_57_19 = e2)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6685)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6685) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6686)  all_56_9 = e1 & op(e3, e0) = e1
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6686) implies:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6687)  all_56_9 = e1
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (169), (234), (236),
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6491), (6662), (6663), (6687), (function-axioms)
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1375.
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6688)  all_56_10 = e1 & op(e2, e0) = e1
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6688) implies:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6689)  all_56_10 = e1
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6690)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6690) gives:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6691)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6691) gives:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6692)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17) = all_57_2 & op(e3, all_57_18) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6692) implies:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6693)  all_57_16 = e3
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6694)   ~ (all_57_28 = e2)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6695)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6075), (6694), (6695), (function-axioms) are
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #440.
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6493) gives:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6696)  all_57_30 = e2 & op(e1, e1) = e2
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6696) implies:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6697)  op(e1, e1) = e2
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6675), (6697), (function-axioms) are
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (6496), (6693), (function-axioms) are
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #439.
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6698)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_18) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6698) implies:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6699)  op(e3, e1) = e3
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (6663), (6699), (function-axioms) are
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1577.
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6700)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6700) gives:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6701)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_17) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6701) implies:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6702)   ~ (all_57_1 = e2)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6703)  op(e3, all_57_16) = all_57_1
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6501), (6559), (6702), (6703), (function-axioms)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #355.
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6704)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6704) implies:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6705)  all_57_19 = e2
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6684), (6705) imply:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6706)  $false
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6706) is inconsistent.
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6707)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6707) gives:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6708)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (162), (170), (6561), (6567),
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6708), (function-axioms) are inconsistent by
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #354.
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6709)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6709) gives:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6710)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6710) implies:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6711)  op(e3, e1) = e1
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6663), (6711), (function-axioms) are
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1571.
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6712)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6712) gives:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6713)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6713) implies:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6714)  op(e2, e1) = e1
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (223), (224), (6074),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6075), (6689), (6714), (function-axioms) are
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #786.
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6715)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (349), (381), (6069), (6631),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6639), (6658), (6669), (6715), (function-axioms)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1278.
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6716)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (213),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (216), (387), (6066), (6675), (6716),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #543.
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6717)  all_54_10 = e0
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (6658), (6717) are inconsistent by
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1618.
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6718)  all_56_9 = e0 & op(e3, e0) = e0
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6718) implies:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6719)  op(e3, e0) = e0
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6646), (6719), (function-axioms) are
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1189.
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6720)   ~ (all_54_3 = e3)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (285), (6720) imply:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6721)   ~ (all_52_12 = e3)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (91), (128), (135), (136), (158), (159), (162),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (165), (167), (168), (169), (170), (191),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (195), (203), (206), (207), (208), (209), (210),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (211), (212), (213), (214), (215), (216), (217),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (220), (222), (223), (224), (227),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (230), (232), (233), (234), (235),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (236), (261), (263), (273), (287), (386), (387),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (389), (6061), (6064), (6065), (6066), (6067),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6068), (6074), (6075), (6076), (6487), (6488),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6489), (6491), (6535), (6536), (6551), (6561),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6567), (6572), (6605), (6610), (6634), (6721),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #356.
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6722)   ~ (all_12_1 = e1) & op(e0, e2) = all_12_1 &
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_12_1)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6722) implies:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6723)   ~ (all_12_1 = e1)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6724)  op(e0, e2) = all_12_1
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_12_1,
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (6552), (6724) gives:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6725)  all_12_1 = e1
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6723), (6725) imply:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6726)  $false
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6726) is inconsistent.
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6727)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6727) gives:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6728)  all_56_8 = e3 & op(e1, e1) = e3
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6728) implies:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6729)  all_56_8 = e3
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6730)  op(e1, e1) = e3
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6731)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (135), (158), (162), (170), (227),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6075), (6561), (6567), (6731), (function-axioms)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #420.
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6732)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6732) gives:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6733)  all_56_7 = e3 & op(e1, e2) = e3
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6733) implies:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6734)  all_56_7 = e3
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6735)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e1)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (91), (128), (135), (136), (158), (159), (162),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (165), (167), (169), (170), (191), (195),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (203), (206), (207), (208), (209), (210), (211),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (213), (214), (215), (216), (217), (218), (219),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (222), (223), (224), (227), (228), (229),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (232), (233), (234), (235), (236), (263),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (273), (287), (386), (387), (389), (6061), (6064),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6065), (6066), (6067), (6068), (6074), (6075),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6076), (6487), (6488), (6489), (6491), (6535),
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6536), (6735), (function-axioms) are inconsistent
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #357.
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6736)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e1, e0) = e1)
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6736) gives:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6737)  all_56_8 = e1 & op(e1, e1) = e1
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6737) implies:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6738)  op(e1, e1) = e1
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6730), (6738), (function-axioms) are
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6739)  all_56_11 = e1 & op(e1, e0) = e1
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6739) implies:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6740)  all_56_11 = e1
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (213), (215),
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6066), (6729), (6730), (6734), (6740),
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #353.
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6741)  all_56_13 = e3 & op(e0, e2) = e3
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6741) implies:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6742)  all_56_13 = e3
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6551), (6742) are inconsistent by sub-proof
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1357.
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6743)  all_56_11 = e3 & op(e1, e0) = e3
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6743) implies:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6744)  all_56_11 = e3
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (135), (158), (162), (167), (169), (170), (207),
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (210), (211), (213), (215), (218), (220),
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (222), (223), (224), (229), (230), (234), (236),
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (387), (389), (6064), (6065), (6066),
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6074), (6075), (6076), (6488), (6491), (6561),
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6567), (6744), (function-axioms) are inconsistent
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #365.
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6745)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6745) gives:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6746)  all_56_4 = e2 & op(e3, e1) = e2
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6746) implies:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6747)  all_56_4 = e2
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (36), (135), (158), (162),
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (227), (230), (236), (386), (6065), (6075),
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6491), (6561), (6567), (6747), (function-axioms)
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #359.
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6748)  all_56_9 = e2 & op(e3, e0) = e2
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6748) implies:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6749)  all_56_9 = e2
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6750)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (6065), (6750),
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1060.
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6751)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6751) gives:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6752)  all_56_4 = e0 & op(e3, e1) = e0
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6752) implies:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6753)  op(e3, e1) = e0
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 177.93/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6754)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (9), (135), (158), (162), (170), (227),
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6075), (6491), (6561), (6567), (6754),
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #367.
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6755)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (169), (6749), (6753), (6755),
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1575.
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6756)  all_56_9 = e0 & op(e3, e0) = e0
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6756) implies:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6757)  all_56_9 = e0
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6749), (6757) are inconsistent by sub-proof
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1570.
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6758)  all_54_1 = e1 | all_54_1 = e0
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (6065), (6489), (6758) are inconsistent by
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1058.
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | End of split
% 178.47/26.98  | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | Case 2:
% 178.47/26.98  | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | |   (6759)  all_16_2 = e3
% 178.47/26.98  | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | COMBINE_EQS: (338), (6759) imply:
% 178.47/26.98  | | | | | | | | | |   (6760)  all_14_2 = e3
% 178.47/26.98  | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | SIMP: (6760) implies:
% 178.47/26.98  | | | | | | | | | |   (6761)  all_14_2 = e3
% 178.47/26.98  | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | COMBINE_EQS: (337), (6761) imply:
% 178.47/26.98  | | | | | | | | | |   (6762)  all_24_2 = e3
% 178.47/26.98  | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | REDUCE: (374), (6761) imply:
% 178.47/26.98  | | | | | | | | | |   (6763)   ~ (all_52_6 = e3)
% 178.47/26.98  | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | REDUCE: (377), (6761) imply:
% 178.47/26.98  | | | | | | | | | |   (6764)   ~ (all_52_9 = e3)
% 178.47/26.98  | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | REDUCE: (379), (6761) imply:
% 178.47/26.98  | | | | | | | | | |   (6765)   ~ (all_52_11 = e3)
% 178.47/26.98  | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | REDUCE: (51), (6761) imply:
% 178.47/26.98  | | | | | | | | | |   (6766)  op(e1, e1) = e3
% 178.47/26.98  | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | BETA: splitting (220) gives:
% 178.47/26.98  | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | Case 1:
% 178.47/26.98  | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | |   (6767)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 178.47/26.98  | | | | | | | | | | |             & op(e2, e1) = e3)
% 178.47/26.98  | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 178.47/26.98  | | | | | | | | | | |            (219), (6068), (6764), (6766), (6767),
% 178.47/26.98  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/26.98  | | | | | | | | | | |            #352.
% 178.47/26.98  | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | Case 2:
% 178.47/26.98  | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | |   (6768)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 178.47/26.98  | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 178.47/26.98  | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | BETA: splitting (6768) gives:
% 178.47/26.98  | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | Case 1:
% 178.47/26.98  | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | |   (6769)  all_56_8 = e3 & op(e1, e1) = e3
% 178.47/26.98  | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | ALPHA: (6769) implies:
% 178.47/26.98  | | | | | | | | | | | |   (6770)  all_56_8 = e3
% 178.47/26.98  | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | BETA: splitting (58) gives:
% 178.47/26.98  | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | Case 1:
% 178.47/26.98  | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | |   (6771)   ~ (all_18_2 = e1)
% 178.47/26.98  | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | REDUCE: (342), (6771) imply:
% 178.47/26.98  | | | | | | | | | | | | |   (6772)   ~ (all_4_2 = e1)
% 178.47/26.98  | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | BETA: splitting (242) gives:
% 178.47/26.98  | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | Case 1:
% 178.47/26.98  | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | |   (6773)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.47/26.98  | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 178.47/26.98  | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6772), (6773),
% 178.47/26.98  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/26.98  | | | | | | | | | | | | | |            #609.
% 178.47/26.98  | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | Case 2:
% 178.47/26.98  | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | |   (6774)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.47/26.98  | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 178.47/26.98  | | | | | | | | | | | | | |             op(e1, e1) = all_57_30 & $i(all_57_30))
% 178.47/26.98  | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | BETA: splitting (6774) gives:
% 178.47/26.98  | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | Case 1:
% 178.47/26.98  | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | |   (6775)  all_57_30 = e1 & op(e1, e1) = e1
% 178.47/26.98  | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | ALPHA: (6775) implies:
% 178.47/26.98  | | | | | | | | | | | | | | |   (6776)  op(e1, e1) = e1
% 178.47/26.98  | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | REF_CLOSE: (8), (6766), (6776), (function-axioms) are
% 178.47/26.98  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 178.47/26.98  | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | Case 2:
% 178.47/26.98  | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | |   (6777)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.47/26.98  | | | | | | | | | | | | | | |             (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 178.47/26.98  | | | | | | | | | | | | | | |             $i(all_57_30))
% 178.47/26.98  | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | BETA: splitting (6777) gives:
% 178.47/26.98  | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98  | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | |   (6778)  all_57_31 = e1 & op(e0, e0) = e1
% 178.47/26.98  | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | ALPHA: (6778) implies:
% 178.47/26.98  | | | | | | | | | | | | | | | |   (6779)  op(e0, e0) = e1
% 178.47/26.98  | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6779), (function-axioms) are
% 178.47/26.98  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 178.47/26.98  | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98  | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | |   (6780)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 178.47/26.98  | | | | | | | | | | | | | | | |           $i(all_57_30)
% 178.47/26.98  | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | ALPHA: (6780) implies:
% 178.47/26.98  | | | | | | | | | | | | | | | |   (6781)   ~ (all_57_30 = e1)
% 178.47/26.98  | | | | | | | | | | | | | | | |   (6782)  op(e1, e1) = all_57_30
% 178.47/26.98  | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 178.47/26.98  | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98  | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | |   (6783)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.47/26.98  | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 178.47/26.98  | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6772), (6783),
% 178.47/26.98  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/26.98  | | | | | | | | | | | | | | | | |            #609.
% 178.47/26.98  | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98  | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | |   (6784)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.47/26.98  | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 178.47/26.98  | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & $i(all_57_17))
% 178.47/26.98  | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | BETA: splitting (6784) gives:
% 178.47/26.98  | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | |   (6785)  all_57_30 = e1 & op(e1, e1) = e1
% 178.47/26.98  | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | ALPHA: (6785) implies:
% 178.47/26.98  | | | | | | | | | | | | | | | | | |   (6786)  op(e1, e1) = e1
% 178.47/26.98  | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6766), (6786), (function-axioms) are
% 178.47/26.98  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 178.47/26.98  | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | |   (6787)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.47/26.98  | | | | | | | | | | | | | | | | | |             (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 178.47/26.98  | | | | | | | | | | | | | | | | | |             $i(all_57_17))
% 178.47/26.98  | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | BETA: splitting (6787) gives:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | |   (6788)  all_57_31 = e1 & op(e0, e0) = e1
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | ALPHA: (6788) implies:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | |   (6789)  op(e0, e0) = e1
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6789), (function-axioms) are
% 178.47/26.98  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | |   (6790)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 178.47/26.98  | | | | | | | | | | | | | | | | | | |           $i(all_57_17)
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | ALPHA: (6790) implies:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | |   (6791)   ~ (all_57_17 = e3)
% 178.47/26.98  | | | | | | | | | | | | | | | | | | |   (6792)  op(e3, e1) = all_57_17
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | |   (6793)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6772), (6793),
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | |            #609.
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | |   (6794)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = all_57_27 & $i(all_57_27))
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | BETA: splitting (6794) gives:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | |   (6795)  all_57_30 = e1 & op(e1, e1) = e1
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | ALPHA: (6795) implies:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | |   (6796)  op(e1, e1) = e1
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6766), (6796), (function-axioms) are
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | |   (6797)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | |             (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_27))
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6797) gives:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | |   (6798)  all_57_31 = e1 & op(e0, e0) = e1
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6798) implies:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | |   (6799)  op(e0, e0) = e1
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6799), (function-axioms) are
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | |   (6800)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_27)
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6800) implies:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | |   (6801)   ~ (all_57_27 = e0)
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | |   (6802)  op(e0, e1) = all_57_27
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | |   (6803)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6772), (6803),
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | |            #609.
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | |   (6804)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_20 & $i(all_57_20))
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6804) gives:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | |   (6805)  all_57_30 = e1 & op(e1, e1) = e1
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6805) implies:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | |   (6806)  op(e1, e1) = e1
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6766), (6806), (function-axioms) are
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | |   (6807)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20))
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6807) gives:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (6808)  all_57_31 = e1 & op(e0, e0) = e1
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6808) implies:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (6809)  op(e0, e0) = e1
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6809), (function-axioms) are
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (6810)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_20)
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6810) implies:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (6811)   ~ (all_57_20 = e2)
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (6812)  op(e2, e1) = all_57_20
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (157), (6802)
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (6813)  all_57_27 = all_52_11
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30, e1, e1, simplifying with (6766), (6782)
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (6814)  all_57_30 = e3
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (165), (6812)
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (6815)  all_57_20 = all_52_9
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17, e1, e3, simplifying with (169), (6792)
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (6816)  all_57_17 = all_52_8
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6791), (6816) imply:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (6817)   ~ (all_52_8 = e3)
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6811), (6815) imply:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (6818)   ~ (all_52_9 = e2)
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6801), (6813) imply:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | |   (6819)   ~ (all_52_11 = e0)
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.98  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6820)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6820) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6821)  all_56_4 = e0 & op(e3, e1) = e0
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6821) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6822)  all_56_4 = e0
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (67),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (118), (121), (123), (135), (158), (159), (162),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (169), (170), (190), (198), (202),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (204), (206), (207), (209), (211), (213), (214),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (217), (218), (219), (223), (224), (227),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (231), (232), (233), (234), (248),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (249), (254), (262), (276), (286), (294), (359),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (382), (387), (6066), (6067), (6068), (6069),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6074), (6075), (6762), (6764), (6765), (6766),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6770), (6772), (6813), (6815), (6816), (6817),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6818), (6819), (6822), (function-axioms) are
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #334.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6823)  all_56_5 = e0 & op(e2, e1) = e0
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6068), (6823), (function-axioms) are
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1476.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | |   (6824)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6824) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6825)  all_56_8 = e0 & op(e1, e1) = e0
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6770), (6825) are inconsistent by sub-proof
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #416.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6826)  all_56_14 = e0 & op(e0, e1) = e0
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6826) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6827)  all_56_14 = e0
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6828)  all_54_6 = e3
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (6828) imply:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6829)  all_52_9 = e3
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6764), (6829) imply:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6830)  $false
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6830) is inconsistent.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6831)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6831) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6832)  all_54_6 = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (6832) imply:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6833)  all_52_9 = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6818), (6833) imply:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6834)  $false
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6834) is inconsistent.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6835)   ~ (all_54_6 = e2)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6836)  all_54_6 = e1 | all_54_6 = e0
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6837)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6837) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6838)  all_56_4 = e2 & op(e3, e1) = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6838) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6839)  all_56_4 = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6840)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6840) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6841)  all_56_4 = e1 & op(e3, e1) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6839), (6841) are inconsistent by sub-proof
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1127.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6842)  all_56_5 = e1 & op(e2, e1) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6842) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6843)  all_56_5 = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6844)  op(e2, e1) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6845)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (6065), (6845),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1060.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6846)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6846) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6847)  all_56_4 = e0 & op(e3, e1) = e0
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6847) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6848)  all_56_4 = e0
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (67),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (118), (121), (123), (135), (158), (159), (162),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (169), (170), (190), (202), (204),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (211), (213), (214), (215),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (218), (219), (223), (224), (227), (228),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (231), (232), (233), (234), (248), (249),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (254), (262), (276), (286), (294), (359), (382),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (6066), (6067), (6068), (6069), (6074),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6075), (6762), (6765), (6766), (6770), (6772),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6813), (6815), (6816), (6817), (6818), (6819),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6831), (6848), (function-axioms) are inconsistent
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #335.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6849)  all_56_9 = e0 & op(e3, e0) = e0
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6849) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6850)  all_56_9 = e0
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6851)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6851) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6852)  all_56_0 = e1 & op(e3, e3) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6852) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6853)  op(e3, e3) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (6772), (6853), (function-axioms) are
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1525.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6854)  all_56_1 = e1 & op(e3, e2) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6854) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6855)  all_56_1 = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6856)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6856) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6857)  all_56_9 = e1 & op(e3, e0) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6850), (6857) are inconsistent by sub-proof
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1126.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6858)  all_56_10 = e1 & op(e2, e0) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6858) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6859)  all_56_10 = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (223), (224), (6074),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6075), (6844), (6859), (function-axioms) are
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #786.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6860)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6860) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6861)  all_56_11 = e1 & op(e1, e0) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6861) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6862)  all_56_11 = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6863)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (6075), (6855), (6863),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #442.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6864)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6864) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6865)  all_56_7 = e3 & op(e1, e2) = e3
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6865) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6866)  all_56_7 = e3
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (213), (215),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6066), (6766), (6770), (6862), (6866),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #353.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6867)  all_56_13 = e3 & op(e0, e2) = e3
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6867) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6868)  all_56_13 = e3
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6869)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6869) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6870)  all_56_12 = e1 & op(e0, e3) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6870) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6871)  all_56_12 = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6872)  op(e0, e3) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6873)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6873) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6874)  all_56_12 = e2 & op(e0, e3) = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6874) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6875)  all_56_12 = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6871), (6875) imply:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6876)  e2 = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6839), (6876) imply:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6877)  all_56_4 = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (159),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (208), (209), (219), (220), (389), (6067),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6827), (6843), (6844), (6871), (6872), (6877),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #368.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6878)  all_56_13 = e2 & op(e0, e2) = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6878) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6879)  all_56_13 = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6868), (6879) are inconsistent by sub-proof
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1121.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6880)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6880) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6881)  all_56_14 = e2 & op(e0, e1) = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6881) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6882)  all_56_14 = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6827), (6882) imply:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6883)  e2 = e0
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6883) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6884)  e2 = e0
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6839), (6884) imply:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6885)  all_56_4 = e0
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (39), (67), (118), (121), (123), (135),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (158), (159), (162), (164), (165), (169), (170),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (190), (202), (204), (206), (207), (209), (211),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (213), (214), (215), (217), (223), (224), (227),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (231), (232), (233), (234), (248),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (249), (254), (262), (276), (286), (294), (359),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (382), (387), (6066), (6067), (6068), (6069),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6074), (6075), (6762), (6765), (6766), (6770),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6772), (6813), (6815), (6816), (6817), (6819),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6836), (6843), (6882), (6885), (function-axioms)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #336.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6886)  all_56_15 = e2 & op(e0, e0) = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6886) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6887)  op(e0, e0) = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (6887), (function-axioms) are
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6888)  all_56_13 = e1 & op(e0, e2) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6888) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6889)  all_56_13 = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6868), (6889) are inconsistent by sub-proof
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1357.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6890)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6890) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6891)  all_56_14 = e1 & op(e0, e1) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6827), (6891) are inconsistent by sub-proof
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #674.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6892)  all_56_15 = e1 & op(e0, e0) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6892) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6893)  op(e0, e0) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6893), (function-axioms) are
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6894)  all_56_15 = e1 & op(e0, e0) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6894) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6895)  op(e0, e0) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6895), (function-axioms) are
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6896)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6896) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6897)  all_56_4 = e1 & op(e3, e1) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6897) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6898)  all_56_4 = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6839), (6898) are inconsistent by sub-proof
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #877.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6899)  all_56_9 = e1 & op(e3, e0) = e1
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6850), (6899) are inconsistent by sub-proof
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1126.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6900)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6766), (6827), (6900),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #426.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6901)  all_56_5 = e2 & op(e2, e1) = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6901) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6902)  op(e2, e1) = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (276), (6068), (6818), (6836), (6902),
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1147.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6903)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6903) gives:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6904)  all_56_8 = e2 & op(e1, e1) = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6904) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6905)  op(e1, e1) = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6766), (6905), (function-axioms) are
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6906)  all_56_14 = e2 & op(e0, e1) = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6906) implies:
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (6907)  all_56_14 = e2
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6827), (6907) are inconsistent by sub-proof
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1437.
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/26.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | |   (6908)  all_18_2 = e1
% 178.47/27.00  | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | COMBINE_EQS: (342), (6908) imply:
% 178.47/27.00  | | | | | | | | | | | | |   (6909)  all_4_2 = e1
% 178.47/27.00  | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | SIMP: (6909) implies:
% 178.47/27.00  | | | | | | | | | | | | |   (6910)  all_4_2 = e1
% 178.47/27.00  | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | REDUCE: (357), (6910) imply:
% 178.47/27.00  | | | | | | | | | | | | |   (6911)   ~ (all_52_4 = e1)
% 178.47/27.00  | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | REDUCE: (36), (6910) imply:
% 178.47/27.00  | | | | | | | | | | | | |   (6912)  op(e3, e3) = e1
% 178.47/27.00  | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | BETA: splitting (249) gives:
% 178.47/27.00  | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | |   (6913)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.47/27.00  | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 178.47/27.00  | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (6075), (6912), (6913),
% 178.47/27.00  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.00  | | | | | | | | | | | | | |            #423.
% 178.47/27.00  | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | |   (6914)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.47/27.00  | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 178.47/27.00  | | | | | | | | | | | | | |             op(e3, e2) = all_57_16 & $i(all_57_16))
% 178.47/27.00  | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | BETA: splitting (6914) gives:
% 178.47/27.00  | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | |   (6915)  all_57_30 = e2 & op(e1, e1) = e2
% 178.47/27.00  | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | ALPHA: (6915) implies:
% 178.47/27.00  | | | | | | | | | | | | | | |   (6916)  op(e1, e1) = e2
% 178.47/27.00  | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | REF_CLOSE: (9), (6766), (6916), (function-axioms) are
% 178.47/27.00  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 178.47/27.00  | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | |   (6917)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.47/27.00  | | | | | | | | | | | | | | |             (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 178.47/27.00  | | | | | | | | | | | | | | |             $i(all_57_16))
% 178.47/27.00  | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | BETA: splitting (6917) gives:
% 178.47/27.00  | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | |   (6918)  all_57_31 = e2 & op(e0, e0) = e2
% 178.47/27.00  | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | ALPHA: (6918) implies:
% 178.47/27.00  | | | | | | | | | | | | | | | |   (6919)  op(e0, e0) = e2
% 178.47/27.00  | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (6919), (function-axioms) are
% 178.47/27.00  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 178.47/27.00  | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | |   (6920)   ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 178.47/27.00  | | | | | | | | | | | | | | | |           $i(all_57_16)
% 178.47/27.00  | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | ALPHA: (6920) implies:
% 178.47/27.00  | | | | | | | | | | | | | | | |   (6921)   ~ (all_57_16 = e3)
% 178.47/27.00  | | | | | | | | | | | | | | | |   (6922)  op(e3, e2) = all_57_16
% 178.47/27.00  | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 178.47/27.00  | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | |   (6923)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.47/27.00  | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 178.47/27.00  | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (6075), (6912), (6923),
% 178.47/27.00  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.00  | | | | | | | | | | | | | | | | |            #423.
% 178.47/27.00  | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | |   (6924)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.47/27.00  | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 178.47/27.00  | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & $i(all_57_23))
% 178.47/27.00  | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | BETA: splitting (6924) gives:
% 178.47/27.00  | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | |   (6925)  all_57_30 = e2 & op(e1, e1) = e2
% 178.47/27.00  | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | ALPHA: (6925) implies:
% 178.47/27.00  | | | | | | | | | | | | | | | | | |   (6926)  op(e1, e1) = e2
% 178.47/27.00  | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6766), (6926), (function-axioms) are
% 178.47/27.00  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 178.47/27.00  | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | |   (6927)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.47/27.00  | | | | | | | | | | | | | | | | | |             (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 178.47/27.00  | | | | | | | | | | | | | | | | | |             $i(all_57_23))
% 178.47/27.00  | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | BETA: splitting (6927) gives:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |   (6928)  all_57_31 = e2 & op(e0, e0) = e2
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | ALPHA: (6928) implies:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |   (6929)  op(e0, e0) = e2
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (6929), (function-axioms) are
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |   (6930)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |           $i(all_57_23)
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | ALPHA: (6930) implies:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |   (6931)   ~ (all_57_23 = e1)
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |   (6932)  op(e1, e2) = all_57_23
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |              all_57_23, e2, e1, simplifying with (162), (6932)
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |              gives:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |   (6933)  all_57_23 = all_52_6
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |              all_57_16, e2, e3, simplifying with (170), (6922)
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |              gives:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |   (6934)  all_57_16 = all_52_4
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | REDUCE: (6921), (6934) imply:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |   (6935)   ~ (all_52_4 = e3)
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | REDUCE: (6931), (6933) imply:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |   (6936)   ~ (all_52_6 = e1)
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | |   (6937)  all_54_9 = e3
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (6763), (6937) are inconsistent by
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | |   (6938)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (136), (203), (273), (287), (6065), (6066),
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | |            (6911), (6935), (6936), (6938) are inconsistent by
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | |            sub-proof #363.
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | |   (6939)  all_56_14 = e3 & op(e0, e1) = e3
% 178.47/27.00  | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | ALPHA: (6939) implies:
% 178.47/27.00  | | | | | | | | | | | |   (6940)  all_56_14 = e3
% 178.47/27.00  | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 178.47/27.00  | | | | | | | | | | | |            (219), (6068), (6766), (6940), (function-axioms)
% 178.47/27.00  | | | | | | | | | | | |            are inconsistent by sub-proof #333.
% 178.47/27.00  | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | End of split
% 178.47/27.00  | | | | | | | | | 
% 178.47/27.00  | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | 
% 178.47/27.00  | | | | | | | | |   (6941)  all_14_2 = e2
% 178.47/27.00  | | | | | | | | |   (6942)  ( ~ (all_14_0 = e0) & op(e2, e2) = all_14_0 &
% 178.47/27.00  | | | | | | | | |             $i(all_14_0)) | ( ~ (all_14_1 = e3) & op(e2, e1) =
% 178.47/27.00  | | | | | | | | |             all_14_1 & $i(all_14_1))
% 178.47/27.00  | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | REDUCE: (374), (6941) imply:
% 178.47/27.00  | | | | | | | | |   (6943)   ~ (all_52_6 = e2)
% 178.47/27.00  | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | REDUCE: (376), (6941) imply:
% 178.47/27.00  | | | | | | | | |   (6944)   ~ (all_52_8 = e2)
% 178.47/27.00  | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | REDUCE: (377), (6941) imply:
% 178.47/27.00  | | | | | | | | |   (6945)   ~ (all_52_9 = e2)
% 178.47/27.00  | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | REDUCE: (379), (6941) imply:
% 178.47/27.00  | | | | | | | | |   (6946)   ~ (all_52_11 = e2)
% 178.47/27.00  | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | REDUCE: (51), (6941) imply:
% 178.47/27.00  | | | | | | | | |   (6947)  op(e1, e1) = e2
% 178.47/27.00  | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | BETA: splitting (6942) gives:
% 178.47/27.00  | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | |   (6948)   ~ (all_14_0 = e0) & op(e2, e2) = all_14_0 &
% 178.47/27.00  | | | | | | | | | |           $i(all_14_0)
% 178.47/27.00  | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | REF_CLOSE: (6075), (6948), (function-axioms) are inconsistent
% 178.47/27.00  | | | | | | | | | |            by sub-proof #332.
% 178.47/27.00  | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | |   (6949)   ~ (all_14_1 = e3) & op(e2, e1) = all_14_1 &
% 178.47/27.00  | | | | | | | | | |           $i(all_14_1)
% 178.47/27.00  | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | ALPHA: (6949) implies:
% 178.47/27.00  | | | | | | | | | |   (6950)   ~ (all_14_1 = e3)
% 178.47/27.00  | | | | | | | | | |   (6951)  op(e2, e1) = all_14_1
% 178.47/27.00  | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 178.47/27.00  | | | | | | | | | |              all_14_1, e1, e2, simplifying with (165), (6951)
% 178.47/27.00  | | | | | | | | | |              gives:
% 178.47/27.00  | | | | | | | | | |   (6952)  all_52_9 = all_14_1
% 178.47/27.00  | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | COMBINE_EQS: (276), (6952) imply:
% 178.47/27.00  | | | | | | | | | |   (6953)  all_54_6 = all_14_1
% 178.47/27.00  | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | REDUCE: (123), (6952) imply:
% 178.47/27.00  | | | | | | | | | |   (6954)   ~ (all_52_8 = all_14_1)
% 178.47/27.00  | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | REDUCE: (118), (6952) imply:
% 178.47/27.00  | | | | | | | | | |   (6955)   ~ (all_52_11 = all_14_1)
% 178.47/27.00  | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | SIMP: (6955) implies:
% 178.47/27.00  | | | | | | | | | |   (6956)   ~ (all_52_11 = all_14_1)
% 178.47/27.00  | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | REDUCE: (6945), (6952) imply:
% 178.47/27.00  | | | | | | | | | |   (6957)   ~ (all_14_1 = e2)
% 178.47/27.00  | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | REDUCE: (6068), (6952) imply:
% 178.47/27.00  | | | | | | | | | |   (6958)   ~ (all_14_1 = e0)
% 178.47/27.00  | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | BETA: splitting (198) gives:
% 178.47/27.00  | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | |   (6959)  all_54_6 = e3
% 178.47/27.00  | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | COMBINE_EQS: (6953), (6959) imply:
% 178.47/27.00  | | | | | | | | | | |   (6960)  all_14_1 = e3
% 178.47/27.00  | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | REDUCE: (6950), (6960) imply:
% 178.47/27.00  | | | | | | | | | | |   (6961)  $false
% 178.47/27.00  | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | CLOSE: (6961) is inconsistent.
% 178.47/27.00  | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | |   (6962)   ~ (all_54_6 = e3)
% 178.47/27.00  | | | | | | | | | | |   (6963)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 178.47/27.00  | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | BETA: splitting (6963) gives:
% 178.47/27.00  | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | |   (6964)  all_54_6 = e2
% 178.47/27.00  | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | COMBINE_EQS: (6953), (6964) imply:
% 178.47/27.00  | | | | | | | | | | | |   (6965)  all_14_1 = e2
% 178.47/27.00  | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | REDUCE: (6957), (6965) imply:
% 178.47/27.00  | | | | | | | | | | | |   (6966)  $false
% 178.47/27.00  | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | CLOSE: (6966) is inconsistent.
% 178.47/27.00  | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | |   (6967)   ~ (all_54_6 = e2)
% 178.47/27.00  | | | | | | | | | | | |   (6968)  all_54_6 = e1 | all_54_6 = e0
% 178.47/27.00  | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | BETA: splitting (6968) gives:
% 178.47/27.00  | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | |   (6969)  all_54_6 = e1
% 178.47/27.00  | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | COMBINE_EQS: (6953), (6969) imply:
% 178.47/27.00  | | | | | | | | | | | | |   (6970)  all_14_1 = e1
% 178.47/27.00  | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | REDUCE: (6954), (6970) imply:
% 178.47/27.00  | | | | | | | | | | | | |   (6971)   ~ (all_52_8 = e1)
% 178.47/27.00  | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | REDUCE: (6956), (6970) imply:
% 178.47/27.00  | | | | | | | | | | | | |   (6972)   ~ (all_52_11 = e1)
% 178.47/27.00  | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | REDUCE: (6950), (6970) imply:
% 178.47/27.00  | | | | | | | | | | | | |   (6973)   ~ (e3 = e1)
% 178.47/27.00  | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | REDUCE: (6957), (6970) imply:
% 178.47/27.00  | | | | | | | | | | | | |   (6974)   ~ (e2 = e1)
% 178.47/27.00  | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | REDUCE: (6951), (6970) imply:
% 178.47/27.00  | | | | | | | | | | | | |   (6975)  op(e2, e1) = e1
% 178.47/27.00  | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | BETA: splitting (58) gives:
% 178.47/27.00  | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | |   (6976)   ~ (all_18_2 = e1)
% 178.47/27.00  | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | REDUCE: (342), (6976) imply:
% 178.47/27.00  | | | | | | | | | | | | | |   (6977)   ~ (all_4_2 = e1)
% 178.47/27.00  | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 178.47/27.00  | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | |   (6978)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.47/27.00  | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 178.47/27.00  | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6977), (6978),
% 178.47/27.00  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.00  | | | | | | | | | | | | | | |            #609.
% 178.47/27.00  | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | |   (6979)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.47/27.00  | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 178.47/27.00  | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & $i(all_57_17))
% 178.47/27.00  | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | BETA: splitting (6979) gives:
% 178.47/27.00  | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | |   (6980)  all_57_30 = e1 & op(e1, e1) = e1
% 178.47/27.00  | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | ALPHA: (6980) implies:
% 178.47/27.00  | | | | | | | | | | | | | | | |   (6981)  op(e1, e1) = e1
% 178.47/27.00  | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6947), (6981), (function-axioms) are
% 178.47/27.00  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 178.47/27.00  | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | |   (6982)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.47/27.00  | | | | | | | | | | | | | | | |             (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 178.47/27.00  | | | | | | | | | | | | | | | |             $i(all_57_17))
% 178.47/27.00  | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | BETA: splitting (6982) gives:
% 178.47/27.00  | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | |   (6983)  all_57_31 = e1 & op(e0, e0) = e1
% 178.47/27.00  | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | ALPHA: (6983) implies:
% 178.47/27.00  | | | | | | | | | | | | | | | | |   (6984)  op(e0, e0) = e1
% 178.47/27.00  | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6984), (function-axioms) are
% 178.47/27.00  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 178.47/27.00  | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | |   (6985)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 178.47/27.00  | | | | | | | | | | | | | | | | |           $i(all_57_17)
% 178.47/27.00  | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | ALPHA: (6985) implies:
% 178.47/27.00  | | | | | | | | | | | | | | | | |   (6986)   ~ (all_57_17 = e3)
% 178.47/27.00  | | | | | | | | | | | | | | | | |   (6987)  op(e3, e1) = all_57_17
% 178.47/27.00  | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 178.47/27.00  | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | |   (6988)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.47/27.00  | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 178.47/27.00  | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6977), (6988),
% 178.47/27.00  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.00  | | | | | | | | | | | | | | | | | |            #609.
% 178.47/27.00  | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | |   (6989)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.47/27.00  | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 178.47/27.00  | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_20 & $i(all_57_20))
% 178.47/27.00  | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | BETA: splitting (6989) gives:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |   (6990)  all_57_30 = e1 & op(e1, e1) = e1
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | ALPHA: (6990) implies:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |   (6991)  op(e1, e1) = e1
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6947), (6991), (function-axioms) are
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |   (6992)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |             (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 178.47/27.00  | | | | | | | | | | | | | | | | | | |             $i(all_57_20))
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | BETA: splitting (6992) gives:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | |   (6993)  all_57_31 = e1 & op(e0, e0) = e1
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | ALPHA: (6993) implies:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | |   (6994)  op(e0, e0) = e1
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (6994), (function-axioms) are
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | |   (6995)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | |           $i(all_57_20)
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | ALPHA: (6995) implies:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | |   (6996)  op(e2, e1) = all_57_20
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | |   (6997)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6977), (6997),
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | |            #609.
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | |   (6998)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_30 & $i(all_57_30))
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6998) gives:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | |   (6999)  all_57_30 = e1 & op(e1, e1) = e1
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6999) implies:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | |   (7000)  op(e1, e1) = e1
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6947), (7000), (function-axioms) are
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | |   (7001)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_30))
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7001) gives:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | |   (7002)  all_57_31 = e1 & op(e0, e0) = e1
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7002) implies:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | |   (7003)  op(e0, e0) = e1
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (7003), (function-axioms) are
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | |   (7004)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7004) implies:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | |   (7005)   ~ (all_57_30 = e1)
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | |   (7006)  op(e1, e1) = all_57_30
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | |   (7007)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (6075), (6977), (7007),
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | |            #609.
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | |   (7008)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = all_57_27 & $i(all_57_27))
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7008) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | |   (7009)  all_57_30 = e1 & op(e1, e1) = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7009) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | |   (7010)  op(e1, e1) = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6947), (7010), (function-axioms) are
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | |   (7011)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_27))
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7011) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7012)  all_57_31 = e1 & op(e0, e0) = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7012) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7013)  op(e0, e0) = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (7013), (function-axioms) are
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7014)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_27)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7014) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7015)   ~ (all_57_27 = e0)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7016)  op(e0, e1) = all_57_27
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (157), (7016)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7017)  all_57_27 = all_52_11
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30, e1, e1, simplifying with (6947), (7006)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7018)  all_57_30 = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (6975), (6996)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7019)  all_57_20 = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17, e1, e3, simplifying with (169), (6987)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7020)  all_57_17 = all_52_8
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6986), (7020) imply:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7021)   ~ (all_52_8 = e3)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7015), (7017) imply:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7022)   ~ (all_52_11 = e0)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7023)  all_54_2 = e3
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (7023) imply:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7024)  all_52_8 = e3
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7021), (7024) imply:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7025)  $false
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7025) is inconsistent.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7026)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7027)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7027) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7028)  all_56_4 = e3 & op(e3, e1) = e3
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7028) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7029)  all_56_4 = e3
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7030)  all_54_14 = e3
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (7030) imply:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7031)  all_52_11 = e3
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7031) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7032)  all_52_11 = e3
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7017), (7032) imply:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7033)  all_57_27 = e3
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (7032) imply:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7034)   ~ (all_6_2 = e3)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7034) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7035)   ~ (all_6_2 = e3)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7036)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (6065), (7036),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1060.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7037)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7037) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7038)  all_56_4 = e0 & op(e3, e1) = e0
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7029), (7038) are inconsistent by sub-proof
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #591.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7039)  all_56_9 = e0 & op(e3, e0) = e0
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7039) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7040)  all_56_9 = e0
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7041)  all_54_15 = e3
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (7035), (7041) are inconsistent by
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1608.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7042)   ~ (all_54_15 = e3)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7043)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7043) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7044)  all_54_15 = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (7044) are inconsistent by sub-proof
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1607.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7045)   ~ (all_54_15 = e2)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7046)  all_54_15 = e1 | all_54_15 = e0
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7047)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7047) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7048)  all_56_0 = e1 & op(e3, e3) = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7048) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7049)  op(e3, e3) = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (6977), (7049), (function-axioms) are
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1525.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7050)  all_56_1 = e1 & op(e3, e2) = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7050) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7051)  all_56_1 = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7052)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7052) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7053)  all_56_9 = e1 & op(e3, e0) = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7040), (7053) are inconsistent by sub-proof
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1126.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7054)  all_56_10 = e1 & op(e2, e0) = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7054) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7055)  all_56_10 = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (223), (224), (6068), (6074), (6947),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6975), (7055), (function-axioms) are inconsistent
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #329.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7056)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7056) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7057)  all_56_11 = e1 & op(e1, e0) = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7057) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7058)  all_56_11 = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7059)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7059) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7060)  all_56_9 = e2 & op(e3, e0) = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7040), (7060) are inconsistent by sub-proof
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #973.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7061)  all_56_10 = e2 & op(e2, e0) = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7061) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7062)  all_56_10 = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7063)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7063) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7064)  all_56_1 = e2 & op(e3, e2) = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7064) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7065)  all_56_1 = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7051), (7065) imply:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7066)  e2 = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7062), (7066) imply:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7067)  all_56_10 = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (223), (224), (6068), (6074), (6947),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6975), (7067), (function-axioms) are inconsistent
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #329.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7068)  all_56_3 = e2 & op(e2, e2) = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6074), (7068) are inconsistent by sub-proof
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #392.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7069)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7069) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7070)  all_56_7 = e2 & op(e1, e2) = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7070) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7071)  op(e1, e2) = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6943), (7071), (function-axioms) are
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7072)  all_56_13 = e2 & op(e0, e2) = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7072) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7073)  all_56_13 = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7074)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7074) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7075)  all_56_6 = e0 & op(e1, e3) = e0
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7075) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7076)  all_56_6 = e0
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7077)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (36), (224), (6075), (6975),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6977), (7062), (7077), (function-axioms) are
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #344.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7078)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7078) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7079)  all_56_6 = e1 & op(e1, e3) = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7079) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7080)  all_56_6 = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7076), (7080) are inconsistent by sub-proof
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1551.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7081)  all_56_12 = e1 & op(e0, e3) = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7081) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7082)  op(e0, e3) = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7083)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (159), (7073), (7082), (7083),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #328.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7084)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7084) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7085)  all_56_14 = e3 & op(e0, e1) = e3
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7085) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7086)  all_56_14 = e3
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (39), (135), (158),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (162), (163), (164), (165), (170), (189),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (204), (206), (207), (208), (210), (211), (212),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (213), (214), (216), (217), (218), (220), (223),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (227), (228), (229), (231), (233), (235),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (241), (251), (254), (261), (286), (294), (353),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (355), (357), (375), (384), (386), (387), (389),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6066), (6068), (6074), (6075), (6943), (6944),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6947), (6971), (6975), (6977), (7018), (7019),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7020), (7021), (7026), (7033), (7035), (7086),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #303.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7087)  all_56_15 = e3 & op(e0, e0) = e3
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7087) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7088)  op(e0, e0) = e3
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (261), (387), (7035), (7046), (7088),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7089)  all_56_7 = e0 & op(e1, e2) = e0
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6066), (7089), (function-axioms) are
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1199.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7090)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6947), (7058), (7090),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #302.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7091)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7091) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7092)  all_56_11 = e2 & op(e1, e0) = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (6066), (6947), (7092), (function-axioms)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #921.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7093)  all_56_15 = e2 & op(e0, e0) = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7093) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7094)  all_56_15 = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7095)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7095) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7096)  all_56_1 = e2 & op(e3, e2) = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7051), (7096) are inconsistent by sub-proof
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1431.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7097)  all_56_3 = e2 & op(e2, e2) = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6074), (7097) are inconsistent by sub-proof
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #392.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7098)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7098) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7099)  all_56_7 = e2 & op(e1, e2) = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7099) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7100)  op(e1, e2) = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6943), (7100), (function-axioms) are
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7101)  all_56_13 = e2 & op(e0, e2) = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7101) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7102)  all_56_13 = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7103)  op(e0, e2) = e2
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7104)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7104) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7105)  all_56_6 = e0 & op(e1, e3) = e0
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7105) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7106)  all_56_6 = e0
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7107)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7107) gives:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7108)  all_56_0 = e1 & op(e3, e3) = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7108) implies:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7109)  op(e3, e3) = e1
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (6977), (7109), (function-axioms) are
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1525.
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7110)  all_56_2 = e1 & op(e2, e3) = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7110) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7111)  all_56_2 = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7112)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7112) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7113)  all_56_12 = e1 & op(e0, e3) = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7113) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7114)  op(e0, e3) = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7115)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7115) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7116)  all_56_0 = e2 & op(e3, e3) = e2
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7116) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7117)  all_56_0 = e2
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (159), (235), (7106), (7111),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7114), (7117), (function-axioms) are inconsistent
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1527.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7118)  all_56_1 = e2 & op(e3, e2) = e2
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7118) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7119)  op(e3, e2) = e2
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (170), (7103), (7119),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1342.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7120)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7120) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7121)  all_56_4 = e2 & op(e3, e1) = e2
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7029), (7121) are inconsistent by sub-proof
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #733.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7122)  all_56_9 = e2 & op(e3, e0) = e2
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7040), (7122) are inconsistent by sub-proof
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #973.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7123)  all_56_13 = e1 & op(e0, e2) = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7123) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7124)  all_56_13 = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7102), (7124) are inconsistent by sub-proof
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1086.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7125)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7125) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7126)  all_56_14 = e1 & op(e0, e1) = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7126) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7127)  all_56_14 = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7128)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (6074), (7111), (7128) are inconsistent
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #938.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7129)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7129) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7130)  all_56_5 = e2 & op(e2, e1) = e2
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7130) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7131)  all_56_5 = e2
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (6068), (6947), (7127), (7131),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #912.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7132)  all_56_10 = e2 & op(e2, e0) = e2
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7132) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7133)  all_56_10 = e2
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7134)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (6075), (7111), (7134),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #486.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7135)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (6975), (7133), (7135),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #429.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7136)  all_56_15 = e1 & op(e0, e0) = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7136) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7137)  op(e0, e0) = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (7137), (function-axioms) are
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7138)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7138) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7139)  all_56_6 = e1 & op(e1, e3) = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7139) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7140)  all_56_6 = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7106), (7140) are inconsistent by sub-proof
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1551.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7141)  all_56_12 = e1 & op(e0, e3) = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7141) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7142)  op(e0, e3) = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7143)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (159), (7102), (7142), (7143),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #328.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7144)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7144) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7145)  all_56_14 = e3 & op(e0, e1) = e3
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7145) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7146)  all_56_14 = e3
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (39), (135), (158),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (162), (163), (164), (165), (170), (189),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (204), (206), (207), (208), (210), (211), (212),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (213), (214), (216), (217), (218), (220), (223),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (227), (228), (229), (231), (233), (235),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (241), (251), (254), (261), (286), (294), (353),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (355), (357), (375), (384), (386), (387), (389),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6066), (6068), (6074), (6075), (6943), (6944),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6947), (6971), (6975), (6977), (7018), (7019),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7020), (7021), (7026), (7033), (7035), (7146),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #303.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7147)  all_56_15 = e3 & op(e0, e0) = e3
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7147) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7148)  all_56_15 = e3
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7094), (7148) imply:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7149)  e3 = e2
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7149) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7150)  e3 = e2
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (7150) imply:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7151)  $false
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7151) is inconsistent.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7152)  all_56_7 = e0 & op(e1, e2) = e0
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6066), (7152), (function-axioms) are
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1199.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7153)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6947), (7058), (7153),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #302.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7154)  all_56_15 = e1 & op(e0, e0) = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7154) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7155)  op(e0, e0) = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (7155), (function-axioms) are
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7156)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7156) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7157)  all_56_4 = e1 & op(e3, e1) = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7157) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7158)  all_56_4 = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7029), (7158) are inconsistent by sub-proof
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1567.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7159)  all_56_9 = e1 & op(e3, e0) = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7040), (7159) are inconsistent by sub-proof
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1126.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7160)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (6946), (6972), (7022), (7160) are
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1233.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7161)  all_56_5 = e3 & op(e2, e1) = e3
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7161) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7162)  op(e2, e1) = e3
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6975), (7162), (function-axioms) are
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7163)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7163) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7164)  all_56_8 = e3 & op(e1, e1) = e3
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7164) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7165)  op(e1, e1) = e3
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6947), (7165), (function-axioms) are
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7166)  all_56_14 = e3 & op(e0, e1) = e3
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7166) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7167)  all_56_14 = e3
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7168)  all_54_14 = e3
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (7168) imply:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7169)  all_52_11 = e3
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7169) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7170)  all_52_11 = e3
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7017), (7170) imply:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7171)  all_57_27 = e3
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (7170) imply:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7172)   ~ (all_6_2 = e3)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7172) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7173)   ~ (all_6_2 = e3)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (36), (39), (135), (158),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (159), (162), (163), (164), (165), (170), (189),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (204), (206), (207), (208), (210), (211), (212),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (213), (214), (216), (217), (218), (220), (223),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (227), (228), (229), (231), (233), (235),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (241), (251), (254), (261), (286), (294), (353),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (355), (357), (375), (384), (386), (387), (389),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6066), (6068), (6074), (6075), (6943), (6944),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6947), (6971), (6975), (6977), (7018), (7019),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7020), (7021), (7026), (7167), (7171), (7173),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #303.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7174)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (6946), (6972), (7022), (7174) are
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1233.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | End of split
% 178.47/27.02  | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | |   (7175)  all_18_2 = e1
% 178.47/27.02  | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | COMBINE_EQS: (342), (7175) imply:
% 178.47/27.02  | | | | | | | | | | | | | |   (7176)  all_4_2 = e1
% 178.47/27.02  | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | SIMP: (7176) implies:
% 178.47/27.02  | | | | | | | | | | | | | |   (7177)  all_4_2 = e1
% 178.47/27.02  | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | COMBINE_EQS: (346), (7177) imply:
% 178.47/27.02  | | | | | | | | | | | | | |   (7178)  all_40_2 = e1
% 178.47/27.02  | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | REDUCE: (36), (7177) imply:
% 178.47/27.02  | | | | | | | | | | | | | |   (7179)  op(e3, e3) = e1
% 178.47/27.02  | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 178.47/27.02  | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | |   (7180)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 178.47/27.02  | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 178.47/27.02  | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | BETA: splitting (7180) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | |   (7181)  all_56_9 = e1 & op(e3, e0) = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | ALPHA: (7181) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | |   (7182)  all_56_9 = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | |   (7183)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 178.47/27.02  | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 178.47/27.02  | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | BETA: splitting (7183) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | |   (7184)  all_56_12 = e1 & op(e0, e3) = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | ALPHA: (7184) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | |   (7185)  all_56_12 = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | |   (7186)  op(e0, e3) = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (159),
% 178.47/27.02  | | | | | | | | | | | | | | | | | |            (162), (170), (206), (209), (211), (213), (214),
% 178.47/27.02  | | | | | | | | | | | | | | | | | |            (216), (218), (220), (223), (224), (227), (229),
% 178.47/27.02  | | | | | | | | | | | | | | | | | |            (230), (233), (235), (236), (386), (6065), (6066),
% 178.47/27.02  | | | | | | | | | | | | | | | | | |            (6067), (6074), (6075), (6943), (6947), (6975),
% 178.47/27.02  | | | | | | | | | | | | | | | | | |            (7179), (7182), (7185), (7186), (function-axioms)
% 178.47/27.02  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #296.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | |   (7187)  all_56_13 = e1 & op(e0, e2) = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | ALPHA: (7187) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | |   (7188)  all_56_13 = e1
% 178.47/27.02  | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | |   (7189)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 178.47/27.02  | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (6065), (7189),
% 178.47/27.02  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.47/27.02  | | | | | | | | | | | | | | | | | | |            #1060.
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | Case 2:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | |   (7190)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 178.47/27.02  | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | BETA: splitting (7190) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | |   (7191)  all_56_4 = e0 & op(e3, e1) = e0
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | ALPHA: (7191) implies:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | |   (7192)  all_56_4 = e0
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | 
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | |   (7193)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 178.47/27.02  | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7193) gives:
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | |   (7194)  all_56_1 = e2 & op(e3, e2) = e2
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7194) implies:
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | |   (7195)  all_56_1 = e2
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | | |   (7196)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7196) gives:
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.02  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | |   (7197)  all_56_9 = e2 & op(e3, e0) = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7197) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | |   (7198)  all_56_9 = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7182), (7198) are inconsistent by sub-proof
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | |            #1503.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | |   (7199)  all_56_10 = e2 & op(e2, e0) = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7199) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | |   (7200)  all_56_10 = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | |   (7201)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7201) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7202)  all_56_0 = e3 & op(e3, e3) = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7202) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7203)  all_56_0 = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7204)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7204) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7205)  all_56_2 = e3 & op(e2, e3) = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7205) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7206)  all_56_2 = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7207)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7207) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7208)  all_56_4 = e3 & op(e3, e1) = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7208) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7209)  all_56_4 = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7192), (7209) imply:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7210)  e3 = e0
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7206), (7210) imply:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7211)  all_56_2 = e0
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (6075), (6975), (7200),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7211), (function-axioms) are inconsistent by
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #604.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7212)  all_56_5 = e3 & op(e2, e1) = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7212) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7213)  op(e2, e1) = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6975), (7213), (function-axioms) are
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7214)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7214) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7215)  all_56_8 = e3 & op(e1, e1) = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7215) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7216)  op(e1, e1) = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6947), (7216), (function-axioms) are
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7217)  all_56_14 = e3 & op(e0, e1) = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7217) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7218)  all_56_14 = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7219)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (220), (223),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (6074), (6075), (6947), (6975), (7179),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7191), (7199), (7200), (7206), (7219),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #300.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7220)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7220) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7221)  all_56_6 = e2 & op(e1, e3) = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7221) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7222)  all_56_6 = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (6066), (6947), (7222), (function-axioms)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1161.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7223)  all_56_12 = e2 & op(e0, e3) = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7223) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7224)  all_56_12 = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7225)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7225) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7226)  all_56_0 = e1 & op(e3, e3) = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7226) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7227)  all_56_0 = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7203), (7227) imply:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7228)  e3 = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7206), (7228) imply:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7229)  all_56_2 = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (6075), (6975), (7200),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7229), (function-axioms) are inconsistent by
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #428.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7230)  all_56_2 = e1 & op(e2, e3) = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7230) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7231)  all_56_2 = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (6075), (6975), (7200),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7231), (function-axioms) are inconsistent by
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #428.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7232)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7232) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7233)  all_56_6 = e1 & op(e1, e3) = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7233) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7234)  all_56_6 = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (224),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (386), (6075), (6947), (7192), (7200),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7218), (7224), (7234), (function-axioms) are
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #295.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7235)  all_56_12 = e1 & op(e0, e3) = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7235) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7236)  all_56_12 = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (218), (220), (223), (224), (233), (6066),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6074), (6075), (6947), (6975), (7179), (7191),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7192), (7199), (7200), (7206), (7236),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #299.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7237)  all_56_3 = e3 & op(e2, e2) = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7237) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7238)  op(e2, e2) = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6075), (7238), (function-axioms) are
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7239)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (6975), (7200), (7239),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #429.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7240)  all_56_1 = e3 & op(e3, e2) = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7240) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7241)  all_56_1 = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7242)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7242) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7243)  all_56_0 = e2 & op(e3, e3) = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (220), (223),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (6074), (6075), (6947), (6975), (7179),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7191), (7199), (7200), (7243), (function-axioms)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #301.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7194), (7241) are inconsistent by sub-proof
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1379.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7244)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7244) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7245)  all_56_4 = e2 & op(e3, e1) = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7192), (7245) are inconsistent by sub-proof
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7246)  all_56_9 = e2 & op(e3, e0) = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7246) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7247)  all_56_9 = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7182), (7247) imply:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7248)  e2 = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7200), (7248) imply:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7249)  all_56_10 = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7250)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7250) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7251)  all_56_0 = e0 & op(e3, e3) = e0
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7251) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7252)  all_56_0 = e0
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7253)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7253) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7254)  all_56_0 = e1 & op(e3, e3) = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7252), (7254) are inconsistent by sub-proof
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #294.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7255)  all_56_1 = e1 & op(e3, e2) = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7255) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7256)  all_56_1 = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7257)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7257) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7258)  all_56_2 = e2 & op(e2, e3) = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7258) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7259)  all_56_2 = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7193) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7195), (7256) are inconsistent by sub-proof
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1396.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7260)  all_56_3 = e2 & op(e2, e2) = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6074), (7260) are inconsistent by sub-proof
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #939.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7261)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7261) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7262)  all_56_7 = e2 & op(e1, e2) = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7262) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7263)  op(e1, e2) = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6943), (7263), (function-axioms) are
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7264)  all_56_13 = e2 & op(e0, e2) = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7264) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7265)  all_56_13 = e2
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7266)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7266) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7267)  all_56_2 = e3 & op(e2, e3) = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7267) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7268)  all_56_2 = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (212), (213), (214), (216), (217),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (236), (6066), (6068), (6069), (6947),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7247), (7249), (7252), (7256), (7265), (7268),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #291.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7269)  all_56_3 = e3 & op(e2, e2) = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6074), (7269) are inconsistent by sub-proof
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #788.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7270)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7270) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7271)  all_56_5 = e3 & op(e2, e1) = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7271) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7272)  all_56_5 = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (7201), (7252), (7256) are inconsistent
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #293.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7273)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7273) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7274)  all_56_4 = e3 & op(e3, e1) = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7274) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7275)  all_56_4 = e3
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7276)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7276) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7191), (7275) are inconsistent by sub-proof
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #591.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7277)  all_56_5 = e0 & op(e2, e1) = e0
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6068), (7277), (function-axioms) are
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1476.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7278)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7278) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7279)  all_56_8 = e0 & op(e1, e1) = e0
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7279) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7280)  op(e1, e1) = e0
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6947), (7280), (function-axioms) are
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7281)  all_56_14 = e0 & op(e0, e1) = e0
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7281) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7282)  all_56_14 = e0
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7283)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7283) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7284)  all_56_4 = e1 & op(e3, e1) = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7284) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7285)  all_56_4 = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (212), (216), (217), (224),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (226), (227), (231), (236), (6068), (6069),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6074), (6943), (6947), (6975), (7247), (7249),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7252), (7259), (7285), (function-axioms) are
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #289.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7286)  all_56_5 = e1 & op(e2, e1) = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7286) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7287)  all_56_5 = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7272), (7287) imply:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7288)  e3 = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7288) implies:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7289)  e3 = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7275), (7289) imply:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7290)  all_56_4 = e1
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (212), (216), (217), (224),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (226), (227), (231), (236), (6068), (6069),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6074), (6943), (6947), (6975), (7247), (7249),
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7252), (7259), (7290), (function-axioms) are
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #289.
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7291)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7291) gives:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7292)  all_56_8 = e1 & op(e1, e1) = e1
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7292) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7293)  op(e1, e1) = e1
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6947), (7293), (function-axioms) are
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7294)  all_56_14 = e1 & op(e0, e1) = e1
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7282), (7294) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #674.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7295)  all_56_9 = e3 & op(e3, e0) = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7295) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7296)  all_56_9 = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7247), (7296) imply:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7297)  e3 = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7272), (7297) imply:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7298)  all_56_5 = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (212), (213), (214), (216), (217),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (233), (236), (6066), (6068), (6069),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6074), (6947), (7247), (7249), (7252), (7256),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7265), (7298), (function-axioms) are inconsistent
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #287.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7299)  all_56_10 = e3 & op(e2, e0) = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7249), (7299) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1141.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7300)  all_56_3 = e2 & op(e2, e2) = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6074), (7300) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #392.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7301)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7301) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7302)  all_56_5 = e2 & op(e2, e1) = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7302) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7303)  all_56_5 = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7193) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7195), (7256) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1396.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7304)  all_56_3 = e2 & op(e2, e2) = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6074), (7304) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #392.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7305)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7305) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7306)  all_56_7 = e2 & op(e1, e2) = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7306) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7307)  op(e1, e2) = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6943), (7307), (function-axioms) are
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7308)  all_56_13 = e2 & op(e0, e2) = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7308) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7309)  all_56_13 = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (212), (213), (214), (216), (217),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (233), (236), (6066), (6068), (6069),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6074), (6947), (7247), (7249), (7252), (7256),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7303), (7309), (function-axioms) are inconsistent
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #287.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7199), (7249) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1002.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7310)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7310) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7311)  all_56_4 = e1 & op(e3, e1) = e1
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7311) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7312)  all_56_4 = e1
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7313)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7313) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7314)  all_56_2 = e2 & op(e2, e3) = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7314) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7315)  all_56_2 = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (212), (216), (217), (224),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (226), (227), (231), (236), (6068), (6069),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6074), (6943), (6947), (6975), (7247), (7249),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7252), (7312), (7315), (function-axioms) are
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #289.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7316)  all_56_3 = e2 & op(e2, e2) = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6074), (7316) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #939.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7317)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7317) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7318)  all_56_5 = e2 & op(e2, e1) = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7318) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7319)  all_56_5 = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7201) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7320)  all_56_0 = e3 & op(e3, e3) = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7252), (7320) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #375.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7321)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7321) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7322)  all_56_2 = e3 & op(e2, e3) = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7322) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7323)  all_56_2 = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7193) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7195), (7241) imply:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7324)  e3 = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7323), (7324) imply:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7325)  all_56_2 = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (212), (216), (217), (224),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (226), (227), (231), (6068), (6069), (6074),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6943), (6947), (6975), (7241), (7247), (7249),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7252), (7312), (7325), (function-axioms) are
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #290.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7326)  all_56_3 = e2 & op(e2, e2) = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6074), (7326) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #939.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7327)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7327) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7328)  all_56_7 = e2 & op(e1, e2) = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7328) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7329)  op(e1, e2) = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6943), (7329), (function-axioms) are
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7330)  all_56_13 = e2 & op(e0, e2) = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7330) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7331)  all_56_13 = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7332)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7332) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7191), (7312) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1477.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7333)  all_56_5 = e0 & op(e2, e1) = e0
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6068), (7333), (function-axioms) are
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1476.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7334)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7334) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7335)  all_56_8 = e0 & op(e1, e1) = e0
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7335) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7336)  op(e1, e1) = e0
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6947), (7336), (function-axioms) are
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7337)  all_56_14 = e0 & op(e0, e1) = e0
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7337) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7338)  all_56_14 = e0
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7339)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7339) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7340)  all_56_0 = e2 & op(e3, e3) = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7252), (7340) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #325.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7341)  all_56_2 = e2 & op(e2, e3) = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7341) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7342)  all_56_2 = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (209), (212), (216), (217), (224),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (226), (227), (231), (6068), (6069), (6074),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6943), (6947), (6975), (7241), (7247), (7249),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7252), (7312), (7342), (function-axioms) are
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #290.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7343)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (206),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (212), (213), (214), (216), (6066), (6069),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6947), (7247), (7249), (7331), (7338), (7343),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #292.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7344)  all_56_3 = e3 & op(e2, e2) = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6074), (7344) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #288.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7345)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7345) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7346)  all_56_5 = e3 & op(e2, e1) = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7346) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7347)  all_56_5 = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7319), (7347) imply:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7348)  e3 = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (7348) imply:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7349)  $false
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7349) is inconsistent.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7350)  all_56_10 = e3 & op(e2, e0) = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7350) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7351)  all_56_10 = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7249), (7351) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1489.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7352)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7352) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7353)  all_56_4 = e3 & op(e3, e1) = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7312), (7353) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #987.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7354)  all_56_9 = e3 & op(e3, e0) = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7247), (7354) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1401.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7199), (7249) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1002.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7181), (7247) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1565.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7355)  all_56_1 = e0 & op(e3, e2) = e0
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (6065), (7355), (function-axioms) are
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1466.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7190) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (220), (223),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (6074), (6947), (6975), (7192), (7249),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #322.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7356)  all_56_9 = e0 & op(e3, e0) = e0
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7356) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7357)  all_56_9 = e0
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7247), (7357) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1570.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | |   (7358)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (7182), (7192), (7358) are inconsistent
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #297.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | |   (7359)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7359) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | |   (7360)  all_56_11 = e2 & op(e1, e0) = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | |            (216), (6066), (6947), (7360), (function-axioms)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #921.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | |   (7361)  all_56_15 = e2 & op(e0, e0) = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7361) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | |   (7362)  all_56_15 = e2
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | |   (7363)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7363) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7364)  all_56_0 = e3 & op(e3, e3) = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7364) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7365)  all_56_0 = e3
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7366)  all_56_15 = e0 & op(e0, e0) = e0
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7366) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7367)  all_56_15 = e0
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7362), (7367) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #920.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7368)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7368) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7369)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7369) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7370)  all_56_9 = e0 & op(e3, e0) = e0
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7370) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7371)  all_56_9 = e0
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7182), (7371) are inconsistent by sub-proof
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1484.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7372)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7372) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7373)  all_56_10 = e0 & op(e2, e0) = e0
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7373) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7374)  op(e2, e0) = e0
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6069), (7374), (function-axioms) are
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1504.
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7375)  all_56_11 = e0 & op(e1, e0) = e0
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7375) implies:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7376)  all_56_11 = e0
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7377)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7377) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7378)  all_56_1 = e3 & op(e3, e2) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7378) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7379)  all_56_1 = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7195), (7379) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #660.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7380)  all_56_3 = e3 & op(e2, e2) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7380) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7381)  op(e2, e2) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6075), (7381), (function-axioms) are
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7382)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7382) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7383)  all_56_7 = e3 & op(e1, e2) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7383) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7384)  all_56_7 = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7385)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7385) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7386)  all_56_0 = e1 & op(e3, e3) = e1
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7386) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7387)  all_56_0 = e1
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7365), (7387) imply:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7388)  e3 = e1
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (7388) imply:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7389)  $false
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7389) is inconsistent.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7390)  all_56_2 = e1 & op(e2, e3) = e1
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7390) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7391)  all_56_2 = e1
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7392)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7392) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7393)  all_56_9 = e3 & op(e3, e0) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7393) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7394)  all_56_9 = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7182), (7394) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1376.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7395)  all_56_10 = e3 & op(e2, e0) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7395) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7396)  all_56_10 = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (220), (223),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6074), (6947), (7192), (7391), (7396),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #931.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7397)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7397) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7398)  all_56_11 = e3 & op(e1, e0) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7376), (7398) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #651.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7399)  all_56_15 = e3 & op(e0, e0) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7362), (7399) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #529.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7400)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7400) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7401)  all_56_6 = e1 & op(e1, e3) = e1
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7401) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7402)  all_56_6 = e1
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7403)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (6975), (7192), (7403),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #909.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7404)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7404) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7405)  all_56_8 = e3 & op(e1, e1) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7405) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7406)  op(e1, e1) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6947), (7406), (function-axioms) are
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7407)  all_56_14 = e3 & op(e0, e1) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7407) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7408)  all_56_14 = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7409)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (220),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (386), (6074), (6075), (6947),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7192), (7408), (7409), (function-axioms) are
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #312.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7410)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7410) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7411)  all_56_6 = e0 & op(e1, e3) = e0
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7411) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7412)  all_56_6 = e0
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7402), (7412) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1551.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7413)  all_56_12 = e0 & op(e0, e3) = e0
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7413) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7414)  all_56_12 = e0
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7415)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7415) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7416)  all_56_9 = e3 & op(e3, e0) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7416) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7417)  all_56_9 = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7182), (7417) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1376.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7418)  all_56_10 = e3 & op(e2, e0) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7418) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7419)  all_56_10 = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7420)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7420) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7421)  all_56_0 = e2 & op(e3, e3) = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7365), (7421) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #974.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7422)  all_56_2 = e2 & op(e2, e3) = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7422) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7423)  all_56_2 = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7424)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7424) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7364) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7425)  op(e3, e3) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e3,
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, simplifying with (7179), (7425) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7426)  e3 = e1
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7419), (7426) imply:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7427)  all_56_10 = e1
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (6074), (6975), (7423),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7427), (function-axioms) are inconsistent by
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #787.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7428)  all_56_2 = e3 & op(e2, e3) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7423), (7428) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1333.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7429)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7429) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7430)  all_56_6 = e3 & op(e1, e3) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7430) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7431)  all_56_6 = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7402), (7431) imply:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7432)  e3 = e1
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7419), (7432) imply:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7433)  all_56_10 = e1
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (6074), (6975), (7423),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7433), (function-axioms) are inconsistent by
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #787.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7434)  all_56_12 = e3 & op(e0, e3) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7414), (7434) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1533.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7435)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7435) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7436)  all_56_6 = e2 & op(e1, e3) = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7436) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7437)  all_56_6 = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (214), (6947), (7376), (7384),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7437), (function-axioms) are inconsistent by
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1165.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7438)  all_56_12 = e2 & op(e0, e3) = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7438) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7439)  all_56_12 = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7440)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7440) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7441)  all_56_2 = e2 & op(e2, e3) = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7441) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7442)  all_56_2 = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7443)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (220),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (224), (386), (6074), (6075), (6947),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7192), (7408), (7443), (function-axioms) are
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #312.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7410) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7444)  all_56_6 = e0 & op(e1, e3) = e0
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7444) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7445)  all_56_6 = e0
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7402), (7445) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1551.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7414), (7439) imply:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7446)  e2 = e0
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7446) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7447)  e2 = e0
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7442), (7447) imply:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7448)  all_56_2 = e0
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (220), (223),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (6074), (6075), (6947), (7192), (7408),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7448), (function-axioms) are inconsistent by
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #319.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7449)  all_56_3 = e2 & op(e2, e2) = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7449) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7450)  all_56_3 = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6074), (7450) imply:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7451)  e2 = e0
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7362), (7451) imply:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7452)  all_56_15 = e0
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (211), (213),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (216), (6066), (6947), (7182), (7419),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7452), (function-axioms) are inconsistent by
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #919.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7453)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7453) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7454)  all_56_5 = e2 & op(e2, e1) = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7454) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7455)  all_56_5 = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (6947),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7192), (7455), (function-axioms) are inconsistent
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #932.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7456)  all_56_10 = e2 & op(e2, e0) = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7456) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7457)  all_56_10 = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (218), (224),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (386), (6075), (6947), (7192), (7402),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7408), (7439), (7457), (function-axioms) are
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #295.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7458)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7458) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7459)  all_56_11 = e3 & op(e1, e0) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7376), (7459) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #651.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7460)  all_56_15 = e3 & op(e0, e0) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7362), (7460) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #529.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7461)  all_56_12 = e1 & op(e0, e3) = e1
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7461) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7462)  all_56_12 = e1
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7463)  op(e0, e3) = e1
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (159),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (162), (170), (206), (209), (211), (213), (214),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (218), (220), (223), (224), (227), (229),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (233), (235), (236), (386), (6065), (6066),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (6067), (6074), (6075), (6943), (6947), (6975),
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7179), (7182), (7462), (7463), (function-axioms)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #296.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7464)  all_56_13 = e3 & op(e0, e2) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7188), (7464) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1066.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7465)  all_56_1 = e3 & op(e3, e2) = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7465) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7466)  all_56_1 = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7195), (7466) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            #660.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | |   (7467)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (7182), (7192), (7467) are inconsistent
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #297.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | |   (7468)  all_56_3 = e2 & op(e2, e2) = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6074), (7468) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | |            #939.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | |   (7469)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7469) gives:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | |   (7470)  all_56_7 = e2 & op(e1, e2) = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7470) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | |   (7471)  op(e1, e2) = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6943), (7471), (function-axioms) are
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | |   (7472)  all_56_13 = e2 & op(e0, e2) = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7472) implies:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | |   (7473)  all_56_13 = e2
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7188), (7473) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | |            #1086.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | |   (7474)  all_56_9 = e0 & op(e3, e0) = e0
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7182), (7474) are inconsistent by sub-proof
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | |            #1505.
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | | 
% 178.69/27.05  | | | | | | | | | | | | | | | | | End of split
% 178.69/27.05  | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | |   (7475)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 178.69/27.06  | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 178.69/27.06  | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | BETA: splitting (7475) gives:
% 178.69/27.06  | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | |   (7476)  all_56_14 = e1 & op(e0, e1) = e1
% 178.69/27.06  | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | ALPHA: (7476) implies:
% 178.69/27.06  | | | | | | | | | | | | | | | | | |   (7477)  all_56_14 = e1
% 178.69/27.06  | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | |   (7478)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 178.69/27.06  | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (6065), (7478),
% 178.69/27.06  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.06  | | | | | | | | | | | | | | | | | | |            #1060.
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | |   (7479)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 178.69/27.06  | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | BETA: splitting (7479) gives:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | |   (7480)  all_56_4 = e0 & op(e3, e1) = e0
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | ALPHA: (7480) implies:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | |   (7481)  all_56_4 = e0
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (6947), (6975), (7477),
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | |            (7481), (function-axioms) are inconsistent by
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | |            sub-proof #906.
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | |   (7482)  all_56_9 = e0 & op(e3, e0) = e0
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7182), (7482) are inconsistent by sub-proof
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | |            #1505.
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.06  | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | |   (7483)  all_56_15 = e1 & op(e0, e0) = e1
% 178.69/27.06  | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | ALPHA: (7483) implies:
% 178.69/27.06  | | | | | | | | | | | | | | | | | |   (7484)  op(e0, e0) = e1
% 178.69/27.06  | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (7484), (function-axioms) are
% 178.69/27.06  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 178.69/27.06  | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | End of split
% 178.69/27.06  | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | End of split
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | |   (7485)  all_56_10 = e1 & op(e2, e0) = e1
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | ALPHA: (7485) implies:
% 178.69/27.06  | | | | | | | | | | | | | | | |   (7486)  all_56_10 = e1
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 178.69/27.06  | | | | | | | | | | | | | | | |            (220), (223), (224), (6068), (6074), (6947),
% 178.69/27.06  | | | | | | | | | | | | | | | |            (6975), (7486), (function-axioms) are inconsistent
% 178.69/27.06  | | | | | | | | | | | | | | | |            by sub-proof #329.
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | End of split
% 178.69/27.06  | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | |   (7487)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 178.69/27.06  | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 178.69/27.06  | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | BETA: splitting (7487) gives:
% 178.69/27.06  | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | |   (7488)  all_56_11 = e1 & op(e1, e0) = e1
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | ALPHA: (7488) implies:
% 178.69/27.06  | | | | | | | | | | | | | | | |   (7489)  all_56_11 = e1
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (91), (162), (163), (213), (6066),
% 178.69/27.06  | | | | | | | | | | | | | | | |            (6947), (7178), (7489), (function-axioms) are
% 178.69/27.06  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #400.
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | |   (7490)  all_56_15 = e1 & op(e0, e0) = e1
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | ALPHA: (7490) implies:
% 178.69/27.06  | | | | | | | | | | | | | | | |   (7491)  op(e0, e0) = e1
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (7491), (function-axioms) are
% 178.69/27.06  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | End of split
% 178.69/27.06  | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | End of split
% 178.69/27.06  | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | End of split
% 178.69/27.06  | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | |   (7492)  all_54_6 = e0
% 178.69/27.06  | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | COMBINE_EQS: (6953), (7492) imply:
% 178.69/27.06  | | | | | | | | | | | | |   (7493)  all_14_1 = e0
% 178.69/27.06  | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | REDUCE: (6958), (7493) imply:
% 178.69/27.06  | | | | | | | | | | | | |   (7494)  $false
% 178.69/27.06  | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | CLOSE: (7494) is inconsistent.
% 178.69/27.06  | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | End of split
% 178.69/27.06  | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | End of split
% 178.69/27.06  | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | End of split
% 178.69/27.06  | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | End of split
% 178.69/27.06  | | | | | | | | | 
% 178.69/27.06  | | | | | | | | End of split
% 178.69/27.06  | | | | | | | | 
% 178.69/27.06  | | | | | | | End of split
% 178.69/27.06  | | | | | | | 
% 178.69/27.06  | | | | | | Case 2:
% 178.69/27.06  | | | | | | | 
% 178.69/27.06  | | | | | | |   (7495)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 &
% 178.69/27.06  | | | | | | |             op(e0, e2) = e0)
% 178.69/27.06  | | | | | | | 
% 178.69/27.06  | | | | | | | REF_CLOSE: (158), (162), (6066), (6067), (7495), (function-axioms)
% 178.69/27.06  | | | | | | |            are inconsistent by sub-proof #1198.
% 178.69/27.06  | | | | | | | 
% 178.69/27.06  | | | | | | End of split
% 178.69/27.06  | | | | | | 
% 178.69/27.06  | | | | | End of split
% 178.69/27.06  | | | | | 
% 178.69/27.06  | | | | Case 2:
% 178.69/27.06  | | | | | 
% 178.69/27.06  | | | | |   (7496)  all_10_2 = e3
% 178.69/27.06  | | | | |   (7497)  ( ~ (all_10_0 = e1) & op(e3, e3) = all_10_0 & $i(all_10_0))
% 178.69/27.06  | | | | |           | ( ~ (all_10_1 = e0) & op(e3, e2) = all_10_1 &
% 178.69/27.06  | | | | |             $i(all_10_1))
% 178.69/27.06  | | | | | 
% 178.69/27.06  | | | | | REDUCE: (362), (7496) imply:
% 178.69/27.06  | | | | |   (7498)   ~ (all_52_1 = e3)
% 178.69/27.06  | | | | | 
% 178.69/27.06  | | | | | REDUCE: (365), (7496) imply:
% 178.69/27.06  | | | | |   (7499)   ~ (all_52_4 = e3)
% 178.69/27.06  | | | | | 
% 178.69/27.06  | | | | | REDUCE: (367), (7496) imply:
% 178.69/27.06  | | | | |   (7500)   ~ (all_52_6 = e3)
% 178.69/27.06  | | | | | 
% 178.69/27.06  | | | | | REDUCE: (369), (7496) imply:
% 178.69/27.06  | | | | |   (7501)   ~ (all_52_7 = e3)
% 178.69/27.06  | | | | | 
% 178.69/27.06  | | | | | REDUCE: (371), (7496) imply:
% 178.69/27.06  | | | | |   (7502)   ~ (all_52_9 = e3)
% 178.69/27.06  | | | | | 
% 178.69/27.06  | | | | | REDUCE: (373), (7496) imply:
% 178.69/27.06  | | | | |   (7503)   ~ (all_52_13 = e3)
% 178.69/27.06  | | | | | 
% 178.69/27.06  | | | | | BETA: splitting (224) gives:
% 178.69/27.06  | | | | | 
% 178.69/27.06  | | | | | Case 1:
% 178.69/27.06  | | | | | | 
% 178.69/27.06  | | | | | |   (7504)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 &
% 178.69/27.06  | | | | | |             op(e2, e2) = e3)
% 178.69/27.06  | | | | | | 
% 178.69/27.06  | | | | | | BETA: splitting (7504) gives:
% 178.69/27.06  | | | | | | 
% 178.69/27.06  | | | | | | Case 1:
% 178.69/27.06  | | | | | | | 
% 178.69/27.06  | | | | | | |   (7505)  all_56_2 = e3 & op(e2, e3) = e3
% 178.69/27.06  | | | | | | | 
% 178.69/27.06  | | | | | | | ALPHA: (7505) implies:
% 178.69/27.06  | | | | | | |   (7506)  op(e2, e3) = e3
% 178.69/27.06  | | | | | | | 
% 178.69/27.06  | | | | | | | REF_CLOSE: (167), (7498), (7506), (function-axioms) are
% 178.69/27.06  | | | | | | |            inconsistent by sub-proof #286.
% 178.69/27.06  | | | | | | | 
% 178.69/27.06  | | | | | | Case 2:
% 178.69/27.06  | | | | | | | 
% 178.69/27.06  | | | | | | |   (7507)  all_56_3 = e3 & op(e2, e2) = e3
% 178.69/27.06  | | | | | | | 
% 178.69/27.06  | | | | | | | ALPHA: (7507) implies:
% 178.69/27.06  | | | | | | |   (7508)  all_56_3 = e3
% 178.69/27.06  | | | | | | |   (7509)  op(e2, e2) = e3
% 178.69/27.06  | | | | | | | 
% 178.69/27.06  | | | | | | | BETA: splitting (52) gives:
% 178.69/27.06  | | | | | | | 
% 178.69/27.06  | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | 
% 178.69/27.06  | | | | | | | |   (7510)   ~ (all_14_2 = e2)
% 178.69/27.06  | | | | | | | | 
% 178.69/27.06  | | | | | | | | BETA: splitting (55) gives:
% 178.69/27.06  | | | | | | | | 
% 178.69/27.06  | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | 
% 178.69/27.06  | | | | | | | | |   (7511)   ~ (all_16_2 = e3)
% 178.69/27.06  | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | REDUCE: (338), (7511) imply:
% 178.69/27.06  | | | | | | | | |   (7512)   ~ (all_14_2 = e3)
% 178.69/27.06  | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | BETA: splitting (58) gives:
% 178.69/27.06  | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | |   (7513)   ~ (all_18_2 = e1)
% 178.69/27.06  | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | REDUCE: (342), (7513) imply:
% 178.69/27.06  | | | | | | | | | |   (7514)   ~ (all_4_2 = e1)
% 178.69/27.06  | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | BETA: splitting (70) gives:
% 178.69/27.06  | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | |   (7515)   ~ (all_26_2 = e0)
% 178.69/27.06  | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | REDUCE: (318), (7515) imply:
% 178.69/27.06  | | | | | | | | | | |   (7516)   ~ (all_14_2 = e0)
% 178.69/27.06  | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | BETA: splitting (238) gives:
% 178.69/27.06  | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | |   (7517)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 178.69/27.06  | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 178.69/27.06  | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (7509), (7517),
% 178.69/27.06  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.06  | | | | | | | | | | | |            #285.
% 178.69/27.06  | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | |   (7518)  (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 178.69/27.06  | | | | | | | | | | | |             all_57_31 & $i(all_57_31))
% 178.69/27.06  | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | BETA: splitting (7518) gives:
% 178.69/27.06  | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | |   (7519)  all_57_30 = e0 & op(e1, e1) = e0
% 178.69/27.06  | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (7510), (7512), (7516),
% 178.69/27.06  | | | | | | | | | | | | |            (7519), (function-axioms) are inconsistent by
% 178.69/27.06  | | | | | | | | | | | | |            sub-proof #1616.
% 178.69/27.06  | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | |   (7520)  op(e0, e0) = all_57_31 & $i(all_57_31)
% 178.69/27.06  | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | ALPHA: (7520) implies:
% 178.69/27.06  | | | | | | | | | | | | |   (7521)  op(e0, e0) = all_57_31
% 178.69/27.06  | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | BETA: splitting (194) gives:
% 178.69/27.06  | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | |   (7522)  all_54_10 = e3
% 178.69/27.06  | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | COMBINE_EQS: (349), (7522) imply:
% 178.69/27.06  | | | | | | | | | | | | | |   (7523)  all_14_2 = e3
% 178.69/27.06  | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | REDUCE: (7512), (7523) imply:
% 178.69/27.06  | | | | | | | | | | | | | |   (7524)  $false
% 178.69/27.06  | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | CLOSE: (7524) is inconsistent.
% 178.69/27.06  | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | |   (7525)   ~ (all_54_10 = e3)
% 178.69/27.06  | | | | | | | | | | | | | |   (7526)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 178.69/27.06  | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | BETA: splitting (7526) gives:
% 178.69/27.06  | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | |   (7527)  all_54_10 = e2
% 178.69/27.06  | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | COMBINE_EQS: (349), (7527) imply:
% 178.69/27.06  | | | | | | | | | | | | | | |   (7528)  all_14_2 = e2
% 178.69/27.06  | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | REDUCE: (7510), (7528) imply:
% 178.69/27.06  | | | | | | | | | | | | | | |   (7529)  $false
% 178.69/27.06  | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | CLOSE: (7529) is inconsistent.
% 178.69/27.06  | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | |   (7530)   ~ (all_54_10 = e2)
% 178.69/27.06  | | | | | | | | | | | | | | |   (7531)  all_54_10 = e1 | all_54_10 = e0
% 178.69/27.06  | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | BETA: splitting (7531) gives:
% 178.69/27.06  | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | |   (7532)  all_54_10 = e1
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (7532) imply:
% 178.69/27.06  | | | | | | | | | | | | | | | |   (7533)  all_14_2 = e1
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | REDUCE: (363), (7533) imply:
% 178.69/27.06  | | | | | | | | | | | | | | | |   (7534)   ~ (all_52_2 = e1)
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | REDUCE: (376), (7533) imply:
% 178.69/27.06  | | | | | | | | | | | | | | | |   (7535)   ~ (all_52_8 = e1)
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | REDUCE: (377), (7533) imply:
% 178.69/27.06  | | | | | | | | | | | | | | | |   (7536)   ~ (all_52_9 = e1)
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | REDUCE: (379), (7533) imply:
% 178.69/27.06  | | | | | | | | | | | | | | | |   (7537)   ~ (all_52_11 = e1)
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | REDUCE: (381), (7533) imply:
% 178.69/27.06  | | | | | | | | | | | | | | | |   (7538)   ~ (all_52_14 = e1)
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | REDUCE: (7512), (7533) imply:
% 178.69/27.06  | | | | | | | | | | | | | | | |   (7539)   ~ (e3 = e1)
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | REDUCE: (7510), (7533) imply:
% 178.69/27.06  | | | | | | | | | | | | | | | |   (7540)   ~ (e2 = e1)
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | REDUCE: (51), (7533) imply:
% 178.69/27.06  | | | | | | | | | | | | | | | |   (7541)  op(e1, e1) = e1
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 178.69/27.06  | | | | | | | | | | | | | | | |              all_57_31, e0, e0, simplifying with (39), (7521)
% 178.69/27.06  | | | | | | | | | | | | | | | |              gives:
% 178.69/27.06  | | | | | | | | | | | | | | | |   (7542)  all_57_31 = all_6_2
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 178.69/27.06  | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | |   (7543)   ~ (all_30_2 = e2)
% 178.69/27.06  | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | REDUCE: (343), (7543) imply:
% 178.69/27.06  | | | | | | | | | | | | | | | | |   (7544)   ~ (all_4_2 = e2)
% 178.69/27.06  | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 178.69/27.06  | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | |   (7545)  all_54_0 = e3
% 178.69/27.06  | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (7545) imply:
% 178.69/27.06  | | | | | | | | | | | | | | | | | |   (7546)  all_4_2 = e3
% 178.69/27.06  | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | REDUCE: (353), (7546) imply:
% 178.69/27.06  | | | | | | | | | | | | | | | | | |   (7547)   ~ (all_52_2 = e3)
% 178.69/27.06  | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | REDUCE: (359), (7546) imply:
% 178.69/27.06  | | | | | | | | | | | | | | | | | |   (7548)   ~ (all_52_8 = e3)
% 178.69/27.06  | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | REDUCE: (36), (7546) imply:
% 178.69/27.06  | | | | | | | | | | | | | | | | | |   (7549)  op(e3, e3) = e3
% 178.69/27.06  | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | |   (7550)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 178.69/27.06  | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (7502), (7548), (7550),
% 178.69/27.06  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.06  | | | | | | | | | | | | | | | | | | |            #1345.
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | |   (7551)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 178.69/27.06  | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | BETA: splitting (7551) gives:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | |   (7552)  all_56_8 = e3 & op(e1, e1) = e3
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | ALPHA: (7552) implies:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | |   (7553)  op(e1, e1) = e3
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7541), (7553), (function-axioms) are
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | |   (7554)  all_56_14 = e3 & op(e0, e1) = e3
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | ALPHA: (7554) implies:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | |   (7555)  all_56_14 = e3
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | |   (7556)  op(e0, e1) = e3
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | |   (7557)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (7500), (7547), (7557),
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | |            #284.
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | |   (7558)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7558) gives:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | |   (7559)  all_56_8 = e3 & op(e1, e1) = e3
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7559) implies:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | |   (7560)  op(e1, e1) = e3
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7541), (7560), (function-axioms) are
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | |   (7561)  all_56_11 = e3 & op(e1, e0) = e3
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7561) implies:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | |   (7562)  all_56_11 = e3
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | |   (7563)  op(e1, e0) = e3
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | |   (7564)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (7549), (7564), (function-axioms) are
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #283.
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | |   (7565)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_16 & $i(all_57_16))
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7565) gives:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | |   (7566)  all_57_30 = e2 & op(e1, e1) = e2
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7566) implies:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | |   (7567)  op(e1, e1) = e2
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7541), (7567), (function-axioms) are
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | |   (7568)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16))
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7568) gives:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | |   (7569)  all_57_31 = e2 & op(e0, e0) = e2
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7569) implies:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | |   (7570)  op(e0, e0) = e2
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (7570), (function-axioms) are
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | |   (7571)   ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_16)
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7571) implies:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | |   (7572)  op(e3, e2) = all_57_16
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7573)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (7549), (7573), (function-axioms) are
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #283.
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7574)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_26 & $i(all_57_26))
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7574) gives:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7575)  all_57_30 = e2 & op(e1, e1) = e2
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7575) implies:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7576)  op(e1, e1) = e2
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7541), (7576), (function-axioms) are
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7577)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26))
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7577) gives:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7578)  all_57_31 = e2 & op(e0, e0) = e2
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7578) implies:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7579)  op(e0, e0) = e2
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (7579), (function-axioms) are
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7580)   ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_26)
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7580) implies:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7581)  op(e0, e2) = all_57_26
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7582)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (7549), (7582), (function-axioms) are
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #283.
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7583)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_29 & $i(all_57_29))
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7583) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7584)  all_57_30 = e2 & op(e1, e1) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7584) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7585)  op(e1, e1) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7541), (7585), (function-axioms) are
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7586)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29))
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7586) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7587)  all_57_31 = e2 & op(e0, e0) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7587) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7588)  op(e0, e0) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (7588), (function-axioms) are
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7589)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7589) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7590)   ~ (all_57_29 = e2)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7591)  op(e2, e2) = all_57_29
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7592)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7549), (7590), (7591), (7592),
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #282.
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7593)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & $i(all_57_23))
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7593) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7594)  all_57_30 = e2 & op(e1, e1) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7594) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7595)  op(e1, e1) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7541), (7595), (function-axioms) are
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7596)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23))
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7596) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7597)  all_57_31 = e2 & op(e0, e0) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7597) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7598)  op(e0, e0) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (7598), (function-axioms) are
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7599)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_23)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7599) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7600)   ~ (all_57_23 = e1)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7601)  op(e1, e2) = all_57_23
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, e0, simplifying with (157), (7556) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7602)  all_52_11 = e3
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26, e2, e0, simplifying with (158), (7581)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7603)  all_57_26 = all_52_7
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, e1, simplifying with (160), (7563) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7604)  all_52_14 = e3
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_23, e2, e1, simplifying with (162), (7601)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7605)  all_57_23 = all_52_6
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29, e2, e2, simplifying with (7509), (7591)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7606)  all_57_29 = e3
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16, e2, e3, simplifying with (170), (7572)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7607)  all_57_16 = all_52_4
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7600), (7605) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7608)   ~ (all_52_6 = e1)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (7604) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7609)   ~ (all_52_12 = e3)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (7604) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7610)   ~ (all_6_2 = e3)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7610) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7611)   ~ (all_6_2 = e3)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7612)  all_54_15 = e3
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (7612) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7613)  all_6_2 = e3
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7611), (7613) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7614)  $false
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7614) is inconsistent.
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7615)   ~ (all_54_15 = e3)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7616)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7616) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7617)  all_54_15 = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (7617) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7618)  all_6_2 = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (7618) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7619)  $false
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7619) is inconsistent.
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7620)   ~ (all_54_15 = e2)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7621)  all_54_15 = e1 | all_54_15 = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7621) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7622)  all_54_15 = e1
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (7622) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7623)  all_6_2 = e1
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (7623) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7624)  $false
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7624) is inconsistent.
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7625)  all_54_15 = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (7625) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7626)  all_6_2 = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7542), (7626) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7627)  all_57_31 = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (7626) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7628)   ~ (all_52_7 = e0)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (7626) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7629)   ~ (all_52_12 = e0)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (7626) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7630)   ~ (all_52_13 = e0)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7611), (7626) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7631)   ~ (e3 = e0)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (7626) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7632)   ~ (e2 = e0)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (7626) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7633)   ~ (e1 = e0)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (7626) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7634)  op(e0, e0) = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7635)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7635) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7636)  all_56_12 = e2 & op(e0, e3) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7636) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7637)  all_56_12 = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7638)  op(e0, e3) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7639)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7639) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7640)  all_56_0 = e1 & op(e3, e3) = e1
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7640) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7641)  op(e3, e3) = e1
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7549), (7641), (function-axioms) are
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7642)  all_56_2 = e1 & op(e2, e3) = e1
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7642) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7643)  all_56_2 = e1
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7644)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7644) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7645)  all_56_2 = e0 & op(e2, e3) = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7643), (7645) are inconsistent by sub-proof
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1560.
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7646)  all_56_3 = e0 & op(e2, e2) = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7646) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7647)  op(e2, e2) = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7509), (7647), (function-axioms) are
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7648)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7648) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7649)  all_56_5 = e0 & op(e2, e1) = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7649) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7650)  all_56_5 = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7651)  op(e2, e1) = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7652)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7652) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7653)  all_56_4 = e2 & op(e3, e1) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7653) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7654)  all_56_4 = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7655)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7655) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7656)  all_56_2 = e2 & op(e2, e3) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7656) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7657)  all_56_2 = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7658)  op(e2, e3) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (229), (231), (386), (7514),
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7637), (7657), (7658), (function-axioms) are
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #988.
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7659)  all_56_3 = e2 & op(e2, e2) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7659) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7660)  op(e2, e2) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7590), (7591), (7660), (function-axioms) are
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1043.
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7661)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7661) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7662)  all_56_5 = e2 & op(e2, e1) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7662) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7663)  all_56_5 = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7650), (7663) are inconsistent by sub-proof
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1276.
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7664)  all_56_10 = e2 & op(e2, e0) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7664) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7665)  all_56_10 = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7666)  op(e2, e0) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7667)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7667) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7668)  all_56_9 = e1 & op(e3, e0) = e1
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7668) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7669)  all_56_9 = e1
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7670)  op(e3, e0) = e1
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7671)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (7643), (7671),
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1559.
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7672)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7672) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7673)  all_56_6 = e0 & op(e1, e3) = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7673) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7674)  all_56_6 = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7675)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7675) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7676)  all_56_6 = e2 & op(e1, e3) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7676) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7677)  all_56_6 = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7674), (7677) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7678)  e2 = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7678) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7679)  e2 = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7637), (7679) imply:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7680)  all_56_12 = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (7549), (7643), (7674),
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7680), (function-axioms) are inconsistent by
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1362.
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7681)  all_56_7 = e2 & op(e1, e2) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7681) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7682)  op(e1, e2) = e2
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7683)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7683) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7684)  all_56_0 = e0 & op(e3, e3) = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7684) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7685)  op(e3, e3) = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (7685), (function-axioms) are
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7686)  all_56_1 = e0 & op(e3, e2) = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7686) implies:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7687)  all_56_1 = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7688)  op(e3, e2) = e0
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7689)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (7509), (7687), (7689),
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #281.
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7690)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7690) gives:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7691)  all_56_7 = e1 & op(e1, e2) = e1
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7691) implies:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7692)  all_56_7 = e1
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (215), (7541), (7562), (7674),
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7692), (function-axioms) are inconsistent by
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1007.
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7693)  all_56_13 = e1 & op(e0, e2) = e1
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7693) implies:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7694)  all_56_13 = e1
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7695)  op(e0, e2) = e1
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (7695) gives:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7696)  all_52_7 = e1
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (7638) gives:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7697)  all_52_3 = e2
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (7682) gives:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7698)  all_52_6 = e2
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e2, simplifying with (164), (7666) gives:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7699)  all_52_13 = e2
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (7651) gives:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7700)  all_52_9 = e0
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e3, simplifying with (168), (7670) gives:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7701)  all_52_12 = e1
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (7688) gives:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7702)  all_52_4 = e0
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7605), (7698) imply:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7703)  all_57_23 = e2
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7607), (7702) imply:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7704)  all_57_16 = e0
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7503), (7699) imply:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7705)   ~ (e3 = e2)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7706)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7706) gives:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7707)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (7498), (7548), (7707),
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #280.
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7708)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7708) gives:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7709)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_17) =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7709) implies:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7710)  op(e0, e3) = e3
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7638), (7710), (function-axioms) are
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1039.
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7711)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7711) implies:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7712)  all_57_16 = e2
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7704), (7712) imply:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7713)  e2 = e0
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7713) implies:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7714)  e2 = e0
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7637), (7714) imply:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7715)  all_56_12 = e0
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (208), (389), (7555), (7694),
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7715), (function-axioms) are inconsistent by
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1509.
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7716)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7716) gives:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7717)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7717) gives:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7718)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_21) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7718) implies:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7719)  op(e2, e1) = e2
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e1,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (7651), (7719) gives:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7720)  e2 = e0
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7637), (7720) imply:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7721)  all_56_12 = e0
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (208), (389), (7555), (7694),
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7721), (function-axioms) are inconsistent by
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1509.
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7722)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_20) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7722) implies:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7723)  op(e0, e2) = e2
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7695), (7723), (function-axioms) are
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #279.
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7724)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7724) gives:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7725)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7725) implies:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7726)  op(e3, e1) = e1
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7535), (7726), (function-axioms) are
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7727)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7727) gives:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7728)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7728) implies:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7729)  op(e2, e1) = e1
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7536), (7729), (function-axioms) are
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7730)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7730) implies:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7731)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7627), (7703), (7731), (function-axioms) are
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #778.
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7732)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7732) gives:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7733)  all_56_4 = e0 & op(e3, e1) = e0
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7733) implies:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7734)  all_56_4 = e0
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7654), (7734) imply:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7735)  e2 = e0
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7637), (7735) imply:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7736)  all_56_12 = e0
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (233), (7549), (7643), (7674),
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7736), (function-axioms) are inconsistent by
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1362.
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7737)  all_56_9 = e0 & op(e3, e0) = e0
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7737) implies:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7738)  all_56_9 = e0
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7669), (7738) are inconsistent by sub-proof
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1484.
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7739)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7739) gives:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7740)  all_56_8 = e2 & op(e1, e1) = e2
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7740) implies:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7741)  op(e1, e1) = e2
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7541), (7741), (function-axioms) are
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7742)  all_56_11 = e2 & op(e1, e0) = e2
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7742) implies:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7743)  all_56_11 = e2
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7562), (7743) imply:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7744)  e3 = e2
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7744) implies:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7745)  e3 = e2
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7555), (7745) imply:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7746)  all_56_14 = e2
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (206),
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (209), (387), (7537), (7637), (7746),
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1095.
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7747)  all_56_12 = e0 & op(e0, e3) = e0
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7747) implies:
% 178.69/27.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7748)  all_56_12 = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7749)  op(e0, e3) = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (207), (208),
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (389), (7555), (7748), (7749),
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1506.
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7750)  all_56_10 = e1 & op(e2, e0) = e1
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7665), (7750) are inconsistent by sub-proof
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #621.
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7751)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (387), (7538), (7751),
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1488.
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7752)  all_56_5 = e2 & op(e2, e1) = e2
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7752) implies:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7753)  all_56_5 = e2
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7650), (7753) are inconsistent by sub-proof
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1276.
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7754)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7754) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7755)  all_56_8 = e2 & op(e1, e1) = e2
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7755) implies:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7756)  op(e1, e1) = e2
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7541), (7756), (function-axioms) are
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7757)  all_56_14 = e2 & op(e0, e1) = e2
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7757) implies:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7758)  all_56_14 = e2
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (206),
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (209), (387), (7537), (7637), (7758),
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1095.
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7759)  all_56_10 = e0 & op(e2, e0) = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7759) implies:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7760)  op(e2, e0) = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7630), (7760), (function-axioms) are
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1504.
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7761)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7761) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7762)  all_56_6 = e1 & op(e1, e3) = e1
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7762) implies:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7763)  op(e1, e3) = e1
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7534), (7763), (function-axioms) are
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1597.
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7764)  all_56_12 = e1 & op(e0, e3) = e1
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7637), (7764) are inconsistent by sub-proof
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1550.
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7765)  all_56_13 = e2 & op(e0, e2) = e2
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7765) implies:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7766)  all_56_13 = e2
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7767)  op(e0, e2) = e2
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7768)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7768) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7769)  all_56_1 = e1 & op(e3, e2) = e1
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7769) implies:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7770)  all_56_1 = e1
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7771)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7771) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7772)  all_56_12 = e1 & op(e0, e3) = e1
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7772) implies:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7773)  all_56_12 = e1
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7774)  op(e0, e3) = e1
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7775)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (7770), (7775),
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1580.
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7776)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7776) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7777)  all_56_4 = e0 & op(e3, e1) = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7777) implies:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7778)  all_56_4 = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7779)  op(e3, e1) = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7780)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7780) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7781)  all_56_4 = e2 & op(e3, e1) = e2
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7781) implies:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7782)  all_56_4 = e2
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7778), (7782) are inconsistent by sub-proof
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1394.
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7783)  all_56_5 = e2 & op(e2, e1) = e2
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7783) implies:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7784)  all_56_5 = e2
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7785)  op(e2, e1) = e2
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7786)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7786) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7787)  all_56_1 = e0 & op(e3, e2) = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7770), (7787) are inconsistent by sub-proof
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1581.
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7788)  all_56_3 = e0 & op(e2, e2) = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7788) implies:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7789)  op(e2, e2) = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7509), (7789), (function-axioms) are
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7790)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0)
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7790) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7791)  all_56_7 = e0 & op(e1, e2) = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7791) implies:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7792)  all_56_7 = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7793)  op(e1, e2) = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7794)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7794) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7795)  all_56_6 = e2 & op(e1, e3) = e2
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7795) implies:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7796)  all_56_6 = e2
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7797)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7797) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7798)  all_56_0 = e0 & op(e3, e3) = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7798) implies:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7799)  op(e3, e3) = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (7799), (function-axioms) are
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7800)  all_56_2 = e0 & op(e2, e3) = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7800) implies:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7801)  all_56_2 = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7802)  op(e2, e3) = e0
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7803)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7803) gives:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.69/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7804)  all_56_2 = e1 & op(e2, e3) = e1
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7804) implies:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7805)  all_56_2 = e1
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7801), (7805) are inconsistent by sub-proof
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1535.
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7806)  all_56_3 = e1 & op(e2, e2) = e1
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7806) implies:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7807)  op(e2, e2) = e1
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7509), (7807), (function-axioms) are
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7808)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7808) gives:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7809)  all_56_5 = e1 & op(e2, e1) = e1
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7809) implies:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7810)  op(e2, e1) = e1
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7785), (7810), (function-axioms) are
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1148.
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7811)  all_56_10 = e1 & op(e2, e0) = e1
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7811) implies:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7812)  all_56_10 = e1
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7813)  op(e2, e0) = e1
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7814)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7814) gives:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7815)  all_56_9 = e2 & op(e3, e0) = e2
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7815) implies:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7816)  all_56_9 = e2
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7817)  op(e3, e0) = e2
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (7767) gives:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7818)  all_52_7 = e2
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (7774) gives:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7819)  all_52_3 = e1
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (7793) gives:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7820)  all_52_6 = e0
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e2, simplifying with (164), (7813) gives:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7821)  all_52_13 = e1
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (7785) gives:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7822)  all_52_9 = e2
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (7802) gives:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7823)  all_52_1 = e0
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e3, simplifying with (168), (7817) gives:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7824)  all_52_12 = e2
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (7779) gives:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7825)  all_52_8 = e0
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7603), (7818) imply:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7826)  all_57_26 = e2
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7605), (7820) imply:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7827)  all_57_23 = e0
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7609), (7824) imply:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7828)   ~ (e3 = e2)
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7829)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7829) gives:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7830)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (7548), (7802), (7830),
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1262.
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7831)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (159), (7774), (7802), (7831),
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #278.
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7832)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7832) gives:
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7833)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7833) gives:
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7834)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_21) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7834) implies:
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7835)  all_57_23 = e2
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7827), (7835) imply:
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7836)  e2 = e0
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7836) implies:
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7837)  e2 = e0
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7816), (7837) imply:
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7838)  all_56_9 = e0
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (7549), (7770), (7778),
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7838), (function-axioms) are inconsistent by
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1392.
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7839)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_20) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7839) implies:
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7840)   ~ (all_57_29 = e0)
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7841)  op(e2, e0) = e2
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e0,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (7813), (7841) gives:
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7842)  e2 = e1
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7766), (7842) imply:
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7843)  all_56_13 = e1
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (206),
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (209), (389), (7773), (7774), (7843),
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #277.
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7844)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7844) gives:
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7845)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7845) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7846)  op(e3, e1) = e1
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7779), (7846), (function-axioms) are
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1571.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7847)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (7538), (7785), (7826), (7847),
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #276.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7848)  all_56_10 = e2 & op(e2, e0) = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7848) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7849)  all_56_10 = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7812), (7849) imply:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7850)  e2 = e1
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7766), (7850) imply:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7851)  all_56_13 = e1
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (206),
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (209), (389), (7773), (7774), (7851),
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #277.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7852)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7852) gives:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7853)  all_56_11 = e2 & op(e1, e0) = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7853) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7854)  all_56_11 = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (7541), (7792), (7796),
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7854), (function-axioms) are inconsistent by
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1452.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7855)  all_56_15 = e2 & op(e0, e0) = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7855) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7856)  op(e0, e0) = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (7856), (function-axioms) are
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7857)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7857) gives:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7858)  all_56_6 = e0 & op(e1, e3) = e0
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7796), (7858) are inconsistent by sub-proof
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1455.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7859)  all_56_12 = e0 & op(e0, e3) = e0
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7859) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7860)  all_56_12 = e0
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7861)  op(e0, e3) = e0
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (387), (389), (7634), (7766), (7860),
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7861), (function-axioms) are inconsistent by
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #928.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7862)  all_56_7 = e2 & op(e1, e2) = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7862) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7863)  all_56_7 = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7792), (7863) imply:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7864)  e2 = e0
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7864) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7865)  e2 = e0
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (7865) imply:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7866)  $false
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7866) is inconsistent.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7867)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7867) gives:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7868)  all_56_8 = e2 & op(e1, e1) = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7868) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7869)  op(e1, e1) = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (218), (7555), (7778), (7784),
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7869), (function-axioms) are inconsistent by
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #933.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7870)  all_56_11 = e2 & op(e1, e0) = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7870) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7871)  all_56_11 = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7562), (7871) are inconsistent by sub-proof
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1482.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7872)  all_56_13 = e0 & op(e0, e2) = e0
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7872) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7873)  op(e0, e2) = e0
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (7628), (7873), (function-axioms) are
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1463.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7874)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7541), (7555), (7874),
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1085.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7875)  all_56_9 = e0 & op(e3, e0) = e0
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7875) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7876)  all_56_9 = e0
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7877)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7877) gives:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7878)  all_56_9 = e2 & op(e3, e0) = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7878) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7879)  all_56_9 = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7876), (7879) are inconsistent by sub-proof
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1570.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7880)  all_56_10 = e2 & op(e2, e0) = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7880) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7881)  all_56_10 = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7882)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7882) gives:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7883)  all_56_9 = e1 & op(e3, e0) = e1
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7883) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7884)  all_56_9 = e1
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7876), (7884) are inconsistent by sub-proof
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1484.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7885)  all_56_10 = e1 & op(e2, e0) = e1
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7885) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7886)  all_56_10 = e1
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7881), (7886) imply:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7887)  e2 = e1
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7887) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7888)  e2 = e1
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7766), (7888) imply:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7889)  all_56_13 = e1
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (206),
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (209), (389), (7773), (7774), (7889),
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #277.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7890)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (387), (7538), (7890),
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1488.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7891)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (7562), (7891),
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1158.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7892)  all_56_13 = e1 & op(e0, e2) = e1
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7892) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7893)  op(e0, e2) = e1
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7767), (7893), (function-axioms) are
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #279.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7894)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (387), (7537), (7894),
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1515.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7895)  all_56_3 = e1 & op(e2, e2) = e1
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7895) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7896)  op(e2, e2) = e1
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7509), (7896), (function-axioms) are
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7897)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7897) gives:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7898)  all_56_7 = e1 & op(e1, e2) = e1
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7898) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7899)  op(e1, e2) = e1
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7608), (7899), (function-axioms) are
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #834.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7900)  all_56_13 = e1 & op(e0, e2) = e1
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7900) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7901)  op(e0, e2) = e1
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7767), (7901), (function-axioms) are
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #279.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7902)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (7555), (7902),
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1510.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | |   (7903)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 178.90/27.12  | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (7514), (7544), (7903) are
% 178.90/27.12  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1354.
% 178.90/27.12  | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | End of split
% 178.90/27.12  | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.12  | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | |   (7904)  all_30_2 = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (7904) imply:
% 178.90/27.12  | | | | | | | | | | | | | | | | |   (7905)  all_4_2 = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | REDUCE: (351), (7905) imply:
% 178.90/27.12  | | | | | | | | | | | | | | | | |   (7906)   ~ (all_52_1 = e2)
% 178.90/27.12  | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | REDUCE: (357), (7905) imply:
% 178.90/27.12  | | | | | | | | | | | | | | | | |   (7907)   ~ (all_52_4 = e2)
% 178.90/27.12  | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | REDUCE: (359), (7905) imply:
% 178.90/27.12  | | | | | | | | | | | | | | | | |   (7908)   ~ (all_52_8 = e2)
% 178.90/27.12  | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | REDUCE: (361), (7905) imply:
% 178.90/27.12  | | | | | | | | | | | | | | | | |   (7909)   ~ (all_52_12 = e2)
% 178.90/27.12  | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | REDUCE: (36), (7905) imply:
% 178.90/27.12  | | | | | | | | | | | | | | | | |   (7910)  op(e3, e3) = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 178.90/27.12  | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | |   (7911)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 178.90/27.12  | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | BETA: splitting (7911) gives:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | |   (7912)  all_56_0 = e2 & op(e3, e3) = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | ALPHA: (7912) implies:
% 178.90/27.12  | | | | | | | | | | | | | | | | | | |   (7913)  all_56_0 = e2
% 178.90/27.12  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (76), (79), (110), (112), (113), (117), (118),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (120), (121), (123), (125), (126), (128), (133),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (134), (135), (136), (139), (140), (141), (145),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (146), (148), (149), (157), (158), (159), (160),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (162), (163), (164), (165), (167), (168), (169),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (170), (189), (190), (191), (193), (194), (195),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (197), (198), (200), (201), (202), (203), (204),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (209), (210), (211), (212),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (213), (214), (216), (217), (218), (219), (220),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (221), (222), (223), (224), (227), (229), (230),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (231), (232), (233), (235), (236), (239), (240),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (241), (246), (247), (248), (249), (250), (251),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (252), (253), (254), (261), (262), (263), (265),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (273), (275), (276), (284), (285), (286), (287),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (294), (343), (344), (349), (351), (353), (355),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (357), (359), (361), (375), (376), (381), (382),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (383), (384), (385), (386), (387), (389), (7498),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (7499), (7500), (7501), (7502), (7503), (7509),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (7510), (7512), (7516), (7531), (7534), (7535),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (7536), (7537), (7538), (7541), (7542), (7906),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (7907), (7908), (7909), (7910), (7913),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |            #254.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |   (7914)  all_56_2 = e2 & op(e2, e3) = e2
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | ALPHA: (7914) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |   (7915)  all_56_2 = e2
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | |   (7916)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | BETA: splitting (7916) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |   (7917)  all_56_0 = e2 & op(e3, e3) = e2
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | ALPHA: (7917) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |   (7918)  all_56_0 = e2
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (51),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (76), (79), (110), (112), (113), (117), (118),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (120), (121), (123), (125), (126), (128), (133),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (134), (135), (136), (139), (140), (141), (145),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (146), (148), (149), (157), (158), (159), (160),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (162), (163), (164), (165), (167), (168), (169),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (170), (189), (190), (191), (193), (194), (195),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (197), (198), (200), (201), (202), (203), (204),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (209), (210), (211), (212),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (213), (214), (216), (217), (218), (219), (220),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (221), (222), (223), (224), (227), (229), (230),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (231), (232), (233), (235), (236), (239), (240),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (241), (246), (247), (248), (249), (250), (251),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (252), (253), (254), (261), (262), (263), (265),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (273), (275), (276), (284), (285), (286), (287),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (294), (343), (344), (349), (351), (353), (355),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (357), (359), (361), (375), (376), (381), (382),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (383), (384), (385), (386), (387), (389), (7498),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (7499), (7500), (7501), (7502), (7503), (7509),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (7510), (7512), (7516), (7531), (7534), (7535),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (7536), (7537), (7538), (7541), (7542), (7906),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (7907), (7908), (7909), (7910), (7918),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            #254.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |   (7919)  all_56_1 = e2 & op(e3, e2) = e2
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | ALPHA: (7919) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |   (7920)  op(e3, e2) = e2
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (7907), (7920), (function-axioms) are
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | |   (7921)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | BETA: splitting (7921) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |   (7922)  all_56_4 = e2 & op(e3, e1) = e2
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | ALPHA: (7922) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |   (7923)  all_56_4 = e2
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | |   (7924)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7910), (7915), (7924), (function-axioms) are
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #481.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | |   (7925)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7925) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | |   (7926)  all_56_6 = e1 & op(e1, e3) = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7926) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | |   (7927)  all_56_6 = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (229), (235),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | |            (386), (7910), (7915), (7927), (function-axioms)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #479.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | |   (7928)  all_56_12 = e1 & op(e0, e3) = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7928) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | |   (7929)  op(e0, e3) = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | |   (7930)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (7499), (7910), (7930),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | |            #259.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | |   (7931)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7931) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (7932)  all_56_4 = e3 & op(e3, e1) = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7932) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (7933)  all_56_4 = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7923), (7933) are inconsistent by sub-proof
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | |            #1285.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (7934)  all_56_9 = e3 & op(e3, e0) = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7934) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (7935)  all_56_9 = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7936)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7936) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7937)  all_56_4 = e3 & op(e3, e1) = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7937) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7938)  all_56_4 = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7923), (7938) imply:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7939)  e3 = e2
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7939) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7940)  e3 = e2
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7935), (7940) imply:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7941)  all_56_9 = e2
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7942)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7942) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7943)  all_56_0 = e1 & op(e3, e3) = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7943) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7944)  op(e3, e3) = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7910), (7944), (function-axioms) are
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7945)  all_56_1 = e1 & op(e3, e2) = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7945) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7946)  op(e3, e2) = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7947)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (7910), (7946), (7947),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1578.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7931) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7923), (7938) are inconsistent by sub-proof
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1285.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7935), (7941) are inconsistent by sub-proof
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1576.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7948)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (230), (236),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (7910), (7941), (7948), (function-axioms)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1564.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7949)  all_56_5 = e3 & op(e2, e1) = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7949) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7950)  op(e2, e1) = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7502), (7950), (function-axioms) are
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | |   (7951)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7951) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7952)  all_56_8 = e3 & op(e1, e1) = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7952) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7953)  op(e1, e1) = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7541), (7953), (function-axioms) are
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7954)  all_56_14 = e3 & op(e0, e1) = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7954) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7955)  all_56_14 = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7956)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (7498), (7910), (7956),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #265.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7957)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7957) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7958)  all_56_6 = e3 & op(e1, e3) = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7958) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7959)  op(e1, e3) = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (36), (229), (386), (7915), (7929),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7959), (function-axioms) are inconsistent by
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1224.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (7960)  all_56_12 = e3 & op(e0, e3) = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (159),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (209), (387), (389), (7537),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (7955), (7960), (function-axioms) are inconsistent
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #261.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |   (7961)  all_56_9 = e2 & op(e3, e0) = e2
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (232), (236), (386), (7910), (7961),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            #1563.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13  | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | |   (7962)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 178.90/27.13  | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | BETA: splitting (7962) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |   (7963)  all_56_6 = e2 & op(e1, e3) = e2
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | ALPHA: (7963) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |   (7964)  all_56_6 = e2
% 178.90/27.13  | | | | | | | | | | | | | | | | | | |   (7965)  op(e1, e3) = e2
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | |   (7966)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (7498), (7910), (7966),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | |            #265.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | |   (7967)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | BETA: splitting (7967) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |   (7968)  all_56_6 = e3 & op(e1, e3) = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | ALPHA: (7968) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |   (7969)  op(e1, e3) = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7965), (7969), (function-axioms) are
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1021.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |   (7970)  all_56_12 = e3 & op(e0, e3) = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | ALPHA: (7970) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |   (7971)  all_56_12 = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | |   (7972)  op(e0, e3) = e3
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | |   (7973)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7973) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | |   (7974)  all_56_12 = e1 & op(e0, e3) = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7974) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | |   (7975)  op(e0, e3) = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (7972), (7975), (function-axioms) are
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1529.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | |   (7976)  all_56_13 = e1 & op(e0, e2) = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7976) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | |   (7977)  all_56_13 = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | |   (7978)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7978) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (7979)  all_56_0 = e1 & op(e3, e3) = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7979) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (7980)  op(e3, e3) = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7910), (7980), (function-axioms) are
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (7981)  all_56_2 = e1 & op(e2, e3) = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (36), (229), (386), (7964), (7971),
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | |            (7981), (function-axioms) are inconsistent by
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1013.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | |   (7982)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7982) gives:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (7983)  all_56_6 = e1 & op(e1, e3) = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7983) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (7984)  op(e1, e3) = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7534), (7984), (function-axioms) are
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1597.
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (7985)  all_56_12 = e1 & op(e0, e3) = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7985) implies:
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (7986)  all_56_12 = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (7987)  op(e0, e3) = e1
% 178.90/27.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (206),
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (209), (389), (7977), (7986), (7987),
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | |            #277.
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | |   (7988)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (387), (7537), (7988),
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | |            #1515.
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | |   (7989)  all_56_12 = e2 & op(e0, e3) = e2
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (229), (231),
% 178.90/27.14  | | | | | | | | | | | | | | | | | | |            (235), (386), (7910), (7989), (function-axioms)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1544.
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.14  | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | End of split
% 178.90/27.14  | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | End of split
% 178.90/27.14  | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | |   (7990)  all_54_10 = e0
% 178.90/27.14  | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (7990) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | |   (7991)  all_14_2 = e0
% 178.90/27.14  | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | REDUCE: (7516), (7991) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | |   (7992)  $false
% 178.90/27.14  | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | CLOSE: (7992) is inconsistent.
% 178.90/27.14  | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | End of split
% 178.90/27.14  | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | End of split
% 178.90/27.14  | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | End of split
% 178.90/27.14  | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | End of split
% 178.90/27.14  | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | End of split
% 178.90/27.14  | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | |   (7993)  all_26_2 = e0
% 178.90/27.14  | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | COMBINE_EQS: (318), (7993) imply:
% 178.90/27.14  | | | | | | | | | | |   (7994)  all_14_2 = e0
% 178.90/27.14  | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | REDUCE: (376), (7994) imply:
% 178.90/27.14  | | | | | | | | | | |   (7995)   ~ (all_52_8 = e0)
% 178.90/27.14  | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | REDUCE: (377), (7994) imply:
% 178.90/27.14  | | | | | | | | | | |   (7996)   ~ (all_52_9 = e0)
% 178.90/27.14  | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | REDUCE: (51), (7994) imply:
% 178.90/27.14  | | | | | | | | | | |   (7997)  op(e1, e1) = e0
% 178.90/27.14  | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | BETA: splitting (245) gives:
% 178.90/27.14  | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | |   (7998)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.90/27.14  | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 178.90/27.14  | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (7514), (7998),
% 178.90/27.14  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.14  | | | | | | | | | | | |            #253.
% 178.90/27.14  | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | |   (7999)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.90/27.14  | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 178.90/27.14  | | | | | | | | | | | |             op(e3, e1) = all_57_17 & $i(all_57_17))
% 178.90/27.14  | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | BETA: splitting (7999) gives:
% 178.90/27.14  | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | |   (8000)  all_57_30 = e1 & op(e1, e1) = e1
% 178.90/27.14  | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | ALPHA: (8000) implies:
% 178.90/27.14  | | | | | | | | | | | | |   (8001)  op(e1, e1) = e1
% 178.90/27.14  | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | REF_CLOSE: (4), (7997), (8001), (function-axioms) are
% 178.90/27.14  | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 178.90/27.14  | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | |   (8002)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.90/27.14  | | | | | | | | | | | | |             (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 178.90/27.14  | | | | | | | | | | | | |             $i(all_57_17))
% 178.90/27.14  | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | BETA: splitting (8002) gives:
% 178.90/27.14  | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | |   (8003)  all_57_31 = e1 & op(e0, e0) = e1
% 178.90/27.14  | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | ALPHA: (8003) implies:
% 178.90/27.14  | | | | | | | | | | | | | |   (8004)  op(e0, e0) = e1
% 178.90/27.14  | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (8004), (function-axioms) are
% 178.90/27.14  | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 178.90/27.14  | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | |   (8005)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 178.90/27.14  | | | | | | | | | | | | | |           $i(all_57_17)
% 178.90/27.14  | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | ALPHA: (8005) implies:
% 178.90/27.14  | | | | | | | | | | | | | |   (8006)   ~ (all_57_17 = e3)
% 178.90/27.14  | | | | | | | | | | | | | |   (8007)  op(e3, e1) = all_57_17
% 178.90/27.14  | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 178.90/27.14  | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | |   (8008)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.90/27.14  | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 178.90/27.14  | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (7514), (8008),
% 178.90/27.14  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.14  | | | | | | | | | | | | | | |            #253.
% 178.90/27.14  | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | |   (8009)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.90/27.14  | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 178.90/27.14  | | | | | | | | | | | | | | |             op(e0, e1) = all_57_27 & $i(all_57_27))
% 178.90/27.14  | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | BETA: splitting (8009) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | |   (8010)  all_57_30 = e1 & op(e1, e1) = e1
% 178.90/27.14  | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | ALPHA: (8010) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | |   (8011)  op(e1, e1) = e1
% 178.90/27.14  | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7997), (8011), (function-axioms) are
% 178.90/27.14  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 178.90/27.14  | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | |   (8012)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.90/27.14  | | | | | | | | | | | | | | | |             (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 178.90/27.14  | | | | | | | | | | | | | | | |             $i(all_57_27))
% 178.90/27.14  | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | BETA: splitting (8012) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | |   (8013)  all_57_31 = e1 & op(e0, e0) = e1
% 178.90/27.14  | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | ALPHA: (8013) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | |   (8014)  op(e0, e0) = e1
% 178.90/27.14  | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (8014), (function-axioms) are
% 178.90/27.14  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 178.90/27.14  | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | |   (8015)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 178.90/27.14  | | | | | | | | | | | | | | | | |           $i(all_57_27)
% 178.90/27.14  | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | ALPHA: (8015) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | |   (8016)   ~ (all_57_27 = e0)
% 178.90/27.14  | | | | | | | | | | | | | | | | |   (8017)  op(e0, e1) = all_57_27
% 178.90/27.14  | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | |   (8018)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.90/27.14  | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (7514), (8018),
% 178.90/27.14  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.14  | | | | | | | | | | | | | | | | | |            #253.
% 178.90/27.14  | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | |   (8019)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.90/27.14  | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 178.90/27.14  | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_30 & $i(all_57_30))
% 178.90/27.14  | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | BETA: splitting (8019) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | |   (8020)  all_57_30 = e1 & op(e1, e1) = e1
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | ALPHA: (8020) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | |   (8021)  op(e1, e1) = e1
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7997), (8021), (function-axioms) are
% 178.90/27.14  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | |   (8022)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.90/27.14  | | | | | | | | | | | | | | | | | | |             (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 178.90/27.14  | | | | | | | | | | | | | | | | | | |             $i(all_57_30))
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | BETA: splitting (8022) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | |   (8023)  all_57_31 = e1 & op(e0, e0) = e1
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | ALPHA: (8023) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | |   (8024)  op(e0, e0) = e1
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (8024), (function-axioms) are
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | |   (8025)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | ALPHA: (8025) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | |   (8026)   ~ (all_57_30 = e1)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | |   (8027)  op(e1, e1) = all_57_30
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | |   (8028)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (7514), (8028),
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | |            #253.
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | |   (8029)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_20 & $i(all_57_20))
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8029) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | |   (8030)  all_57_30 = e1 & op(e1, e1) = e1
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8030) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | |   (8031)  op(e1, e1) = e1
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8026), (8027), (8031), (function-axioms) are
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | |   (8032)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | |             (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20))
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8032) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |   (8033)  all_57_31 = e1 & op(e0, e0) = e1
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8033) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |   (8034)  op(e0, e0) = e1
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (8034), (function-axioms) are
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |   (8035)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_20)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8035) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |   (8036)   ~ (all_57_20 = e2)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |   (8037)  op(e2, e1) = all_57_20
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (157), (8017)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |   (8038)  all_57_27 = all_52_11
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |              all_57_30, e1, e1, simplifying with (7997), (8027)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |   (8039)  all_57_30 = e0
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (165), (8037)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |   (8040)  all_57_20 = all_52_9
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |              all_57_17, e1, e3, simplifying with (169), (8007)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |   (8041)  all_57_17 = all_52_8
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8006), (8041) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |   (8042)   ~ (all_52_8 = e3)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8036), (8040) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |   (8043)   ~ (all_52_9 = e2)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8016), (8038) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | |   (8044)   ~ (all_52_11 = e0)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | |   (8045)  all_54_6 = e3
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (8045) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | |   (8046)  all_52_9 = e3
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7502), (8046) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | |   (8047)  $false
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8047) is inconsistent.
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | |   (8048)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8048) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (8049)  all_54_6 = e2
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (8043), (8049) are inconsistent by
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1241.
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (8050)   ~ (all_54_6 = e2)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (8051)  all_54_6 = e1 | all_54_6 = e0
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8051) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8052)  all_54_6 = e1
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (8052) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8053)  all_52_9 = e1
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8053) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8054)  all_52_9 = e1
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8040), (8054) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8055)  all_57_20 = e1
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (8054) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8056)   ~ (all_52_1 = e1)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (8054) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8057)   ~ (all_52_8 = e1)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (8054) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8058)  op(e2, e1) = e1
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8059)  all_54_2 = e3
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (8042), (8059) are inconsistent by
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1335.
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8060)   ~ (all_54_2 = e3)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8061)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8061) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8062)  all_54_2 = e2
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (8062) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8063)  all_52_8 = e2
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8063) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8064)  all_52_8 = e2
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8064) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8065)   ~ (all_52_11 = e2)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8065) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8066)   ~ (all_52_11 = e2)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (8064) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8067)   ~ (all_52_12 = e2)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8067) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8068)   ~ (all_52_12 = e2)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (8064) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8069)   ~ (all_4_2 = e2)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8069) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8070)   ~ (all_4_2 = e2)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8071)  all_54_0 = e3
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (8071) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8072)  all_4_2 = e3
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8072) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8073)  all_4_2 = e3
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (8073) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8074)   ~ (all_52_12 = e3)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (8073) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8075)  op(e3, e3) = e3
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8076)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (8075), (8076), (function-axioms) are
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #283.
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8077)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & $i(all_57_23))
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8077) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8078)  all_57_30 = e2 & op(e1, e1) = e2
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8078) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8079)  op(e1, e1) = e2
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7997), (8079), (function-axioms) are
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8080)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23))
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8080) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8081)  all_57_31 = e2 & op(e0, e0) = e2
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8081) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8082)  op(e0, e0) = e2
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8082), (function-axioms) are
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8083)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_23)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8083) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8084)   ~ (all_57_23 = e1)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8085)  all_54_14 = e3
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (8085) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8086)  all_52_11 = e3
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8086) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8087)  all_52_11 = e3
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (8087) imply:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8088)   ~ (all_6_2 = e3)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8088) implies:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8089)   ~ (all_6_2 = e3)
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8090)  all_54_15 = e3
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (8089), (8090) are inconsistent by
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1608.
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8091)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8091) gives:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8092)  all_54_15 = e2
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (8092) are inconsistent by sub-proof
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1607.
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8093)  all_54_15 = e1 | all_54_15 = e0
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8093) gives:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8094)  all_54_15 = e1
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (8094) are inconsistent by sub-proof
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1606.
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8095)  all_54_15 = e0
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (8095) imply:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8096)  all_6_2 = e0
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8096) implies:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8097)  all_6_2 = e0
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (8097) imply:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8098)   ~ (all_52_12 = e0)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (8097) imply:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8099)   ~ (all_52_13 = e0)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (8097) imply:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8100)   ~ (all_52_14 = e0)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (8097) imply:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8101)  op(e0, e0) = e0
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8102)  all_54_7 = e3
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (7503), (8102) are inconsistent by
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #797.
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8103)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8104)  all_54_3 = e3
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (8104) imply:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8105)  all_52_12 = e3
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8074), (8105) imply:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8106)  $false
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8106) is inconsistent.
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8107)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8107) gives:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8108)  all_54_3 = e2
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (8108) imply:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8109)  all_52_12 = e2
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8068), (8109) imply:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8110)  $false
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8110) is inconsistent.
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8111)  all_54_3 = e1 | all_54_3 = e0
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8103) gives:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8112)  all_54_7 = e2
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (8112) imply:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8113)  all_52_13 = e2
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8113) implies:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8114)  all_52_13 = e2
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8114) imply:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8115)   ~ (all_52_1 = e2)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (8114) imply:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8116)   ~ (all_52_14 = e2)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8116) implies:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8117)   ~ (all_52_14 = e2)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8111) gives:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8118)  all_54_3 = e1
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (8118) imply:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8119)  all_52_12 = e1
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (8119) imply:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8120)   ~ (all_52_14 = e1)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8120) implies:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8121)   ~ (all_52_14 = e1)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8122)  all_54_4 = e3
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (8122) imply:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8123)  all_52_1 = e3
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7498), (8123) imply:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8124)  $false
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8124) is inconsistent.
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8125)   ~ (all_54_4 = e3)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8126)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8126) gives:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8127)  all_54_4 = e2
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (8127) imply:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8128)  all_52_1 = e2
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8115), (8128) imply:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8129)  $false
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8129) is inconsistent.
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8130)   ~ (all_54_4 = e2)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8131)  all_54_4 = e1 | all_54_4 = e0
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8132)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8132) gives:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8133)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8133) gives:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8134)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17) = all_57_2 & op(e3, all_57_18) =
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8134) implies:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8135)  op(e2, e3) = e3
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (284), (7498), (8056), (8131), (8135),
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1082.
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8136)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_18) =
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8136) implies:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8137)  op(e3, e1) = e3
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8042), (8137), (function-axioms) are
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8138)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8138) gives:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8139)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_17) =
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8139) implies:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8140)  op(e3, e0) = e3
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (168), (193), (265), (8100), (8117),
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8121), (8140), (function-axioms) are inconsistent
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1080.
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8141)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) =
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8141) implies:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8142)  op(e2, e3) = e2
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (284), (8056), (8115), (8126), (8142),
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1076.
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8143)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8143) gives:
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8144)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8144) gives:
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8145)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_21) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8145) implies:
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8146)  op(e2, e1) = e2
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (276), (7996), (8043), (8051), (8146),
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1147.
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8147)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_20) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8147) implies:
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8148)   ~ (all_57_6 = e1)
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8149)  op(e2, all_57_20) = all_57_6
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8037), (8055), (8148), (8149), (function-axioms)
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #340.
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8150)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8150) gives:
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8151)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8151) implies:
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8152)  op(e3, e1) = e1
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8057), (8152), (function-axioms) are
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8153)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8153) gives:
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8154)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8154) implies:
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8155)  all_57_23 = e1
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8084), (8155) imply:
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8156)  $false
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8156) is inconsistent.
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8157)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8157) implies:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8158)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (286), (7995), (8057), (8061), (8101),
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8121), (8158), (function-axioms) are inconsistent
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #252.
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8159)  all_54_3 = e0
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (8159) imply:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8160)  all_52_12 = e0
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8098), (8160) imply:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8161)  $false
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8161) is inconsistent.
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8162)  all_54_7 = e1 | all_54_7 = e0
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (165), (275), (8058), (8099), (8162),
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #794.
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8163)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (262), (8044), (8058), (8066),
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8163), (function-axioms) are inconsistent by
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #806.
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8164)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (7514), (8070), (8164) are
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1354.
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8165)  all_54_2 = e1 | all_54_2 = e0
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (7995), (8057), (8165) are inconsistent by
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1324.
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8166)  all_54_6 = e0
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (7996), (8166) are inconsistent by
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1235.
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | End of split
% 178.90/27.17  | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | |   (8167)  all_18_2 = e1
% 178.90/27.17  | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | COMBINE_EQS: (342), (8167) imply:
% 178.90/27.17  | | | | | | | | | |   (8168)  all_4_2 = e1
% 178.90/27.17  | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | REDUCE: (357), (8168) imply:
% 178.90/27.17  | | | | | | | | | |   (8169)   ~ (all_52_4 = e1)
% 178.90/27.17  | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | REDUCE: (359), (8168) imply:
% 178.90/27.17  | | | | | | | | | |   (8170)   ~ (all_52_8 = e1)
% 178.90/27.17  | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | REDUCE: (36), (8168) imply:
% 178.90/27.17  | | | | | | | | | |   (8171)  op(e3, e3) = e1
% 178.90/27.17  | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | BETA: splitting (7497) gives:
% 178.90/27.17  | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | Case 1:
% 178.90/27.17  | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | |   (8172)   ~ (all_10_0 = e1) & op(e3, e3) = all_10_0 &
% 178.90/27.17  | | | | | | | | | | |           $i(all_10_0)
% 178.90/27.17  | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | REF_CLOSE: (8171), (8172), (function-axioms) are inconsistent
% 178.90/27.17  | | | | | | | | | | |            by sub-proof #251.
% 178.90/27.17  | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | |   (8173)   ~ (all_10_1 = e0) & op(e3, e2) = all_10_1 &
% 178.90/27.17  | | | | | | | | | | |           $i(all_10_1)
% 178.90/27.17  | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | ALPHA: (8173) implies:
% 178.90/27.17  | | | | | | | | | | |   (8174)   ~ (all_10_1 = e0)
% 178.90/27.17  | | | | | | | | | | |   (8175)  op(e3, e2) = all_10_1
% 178.90/27.17  | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | BETA: splitting (249) gives:
% 178.90/27.17  | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | Case 1:
% 178.90/27.17  | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | |   (8176)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.90/27.17  | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 178.90/27.17  | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | REF_CLOSE: (6), (9), (7509), (8171), (8176),
% 178.90/27.17  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.17  | | | | | | | | | | | |            #250.
% 178.90/27.17  | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | |   (8177)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.90/27.17  | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 178.90/27.17  | | | | | | | | | | | |             op(e3, e2) = all_57_16 & $i(all_57_16))
% 178.90/27.17  | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | BETA: splitting (8177) gives:
% 178.90/27.17  | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | Case 1:
% 178.90/27.17  | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | |   (8178)  all_57_30 = e2 & op(e1, e1) = e2
% 178.90/27.17  | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | ALPHA: (8178) implies:
% 178.90/27.17  | | | | | | | | | | | | |   (8179)  op(e1, e1) = e2
% 178.90/27.17  | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | REF_CLOSE: (51), (7510), (8179), (function-axioms) are
% 178.90/27.17  | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 178.90/27.17  | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | |   (8180)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.90/27.17  | | | | | | | | | | | | |             (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 178.90/27.17  | | | | | | | | | | | | |             $i(all_57_16))
% 178.90/27.17  | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | BETA: splitting (8180) gives:
% 178.90/27.17  | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | Case 1:
% 178.90/27.17  | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | |   (8181)  all_57_31 = e2 & op(e0, e0) = e2
% 178.90/27.17  | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | ALPHA: (8181) implies:
% 178.90/27.17  | | | | | | | | | | | | | |   (8182)  op(e0, e0) = e2
% 178.90/27.17  | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8182), (function-axioms) are
% 178.90/27.17  | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 178.90/27.17  | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | |   (8183)   ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 178.90/27.17  | | | | | | | | | | | | | |           $i(all_57_16)
% 178.90/27.17  | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | ALPHA: (8183) implies:
% 178.90/27.17  | | | | | | | | | | | | | |   (8184)  op(e3, e2) = all_57_16
% 178.90/27.17  | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 178.90/27.17  | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | Case 1:
% 178.90/27.17  | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | |   (8185)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.90/27.17  | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 178.90/27.17  | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7509), (8171), (8185),
% 178.90/27.17  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.17  | | | | | | | | | | | | | | |            #250.
% 178.90/27.17  | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | |   (8186)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.90/27.17  | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 178.90/27.17  | | | | | | | | | | | | | | |             op(e0, e2) = all_57_26 & $i(all_57_26))
% 178.90/27.17  | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | BETA: splitting (8186) gives:
% 178.90/27.17  | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17  | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | |   (8187)  all_57_30 = e2 & op(e1, e1) = e2
% 178.90/27.17  | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | ALPHA: (8187) implies:
% 178.90/27.17  | | | | | | | | | | | | | | | |   (8188)  op(e1, e1) = e2
% 178.90/27.17  | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | REF_CLOSE: (51), (7510), (8188), (function-axioms) are
% 178.90/27.17  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 178.90/27.17  | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | |   (8189)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.90/27.17  | | | | | | | | | | | | | | | |             (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 178.90/27.17  | | | | | | | | | | | | | | | |             $i(all_57_26))
% 178.90/27.17  | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | BETA: splitting (8189) gives:
% 178.90/27.17  | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17  | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | |   (8190)  all_57_31 = e2 & op(e0, e0) = e2
% 178.90/27.17  | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | ALPHA: (8190) implies:
% 178.90/27.17  | | | | | | | | | | | | | | | | |   (8191)  op(e0, e0) = e2
% 178.90/27.17  | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8191), (function-axioms) are
% 178.90/27.17  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 178.90/27.17  | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | |   (8192)   ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 178.90/27.17  | | | | | | | | | | | | | | | | |           $i(all_57_26)
% 178.90/27.17  | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | ALPHA: (8192) implies:
% 178.90/27.17  | | | | | | | | | | | | | | | | |   (8193)   ~ (all_57_26 = e0)
% 178.90/27.17  | | | | | | | | | | | | | | | | |   (8194)  op(e0, e2) = all_57_26
% 178.90/27.17  | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 178.90/27.17  | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | |   (8195)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.90/27.17  | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7509), (8171), (8195),
% 178.90/27.17  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.17  | | | | | | | | | | | | | | | | | |            #250.
% 178.90/27.17  | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | |   (8196)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.90/27.17  | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 178.90/27.17  | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_29 & $i(all_57_29))
% 178.90/27.17  | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | BETA: splitting (8196) gives:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | |   (8197)  all_57_30 = e2 & op(e1, e1) = e2
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | ALPHA: (8197) implies:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | |   (8198)  op(e1, e1) = e2
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (7510), (8198), (function-axioms) are
% 178.90/27.17  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | |   (8199)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.90/27.17  | | | | | | | | | | | | | | | | | | |             (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 178.90/27.17  | | | | | | | | | | | | | | | | | | |             $i(all_57_29))
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | BETA: splitting (8199) gives:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | |   (8200)  all_57_31 = e2 & op(e0, e0) = e2
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | ALPHA: (8200) implies:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | |   (8201)  op(e0, e0) = e2
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8201), (function-axioms) are
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | |   (8202)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | ALPHA: (8202) implies:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | |   (8203)   ~ (all_57_29 = e2)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | |   (8204)  op(e2, e2) = all_57_29
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | |   (8205)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8171), (8203), (8204), (8205),
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | |            #779.
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | |   (8206)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & $i(all_57_23))
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8206) gives:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | |   (8207)  all_57_30 = e2 & op(e1, e1) = e2
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8207) implies:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | |   (8208)  op(e1, e1) = e2
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (7510), (8208), (function-axioms) are
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | |   (8209)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | |             (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23))
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8209) gives:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8210)  all_57_31 = e2 & op(e0, e0) = e2
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8210) implies:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8211)  op(e0, e0) = e2
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8211), (function-axioms) are
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8212)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_23)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8212) implies:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8213)   ~ (all_57_23 = e1)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8214)  op(e1, e2) = all_57_23
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |              all_57_26, e2, e0, simplifying with (158), (8194)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8215)  all_57_26 = all_52_7
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |              all_57_23, e2, e1, simplifying with (162), (8214)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8216)  all_57_23 = all_52_6
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |              all_57_29, e2, e2, simplifying with (7509), (8204)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8217)  all_57_29 = e3
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |              all_57_16, e2, e3, simplifying with (170), (8184)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8218)  all_57_16 = all_52_4
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |              all_57_16, e2, e3, simplifying with (8175), (8184)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8219)  all_57_16 = all_10_1
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8218), (8219) imply:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8220)  all_52_4 = all_10_1
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8220) implies:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8221)  all_52_4 = all_10_1
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (8221) imply:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8222)  all_54_1 = all_10_1
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8213), (8216) imply:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8223)   ~ (all_52_6 = e1)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8193), (8215) imply:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8224)   ~ (all_52_7 = e0)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (8221) imply:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8225)   ~ (all_52_6 = all_10_1)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8225) implies:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8226)   ~ (all_52_6 = all_10_1)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (8221) imply:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8227)   ~ (all_52_7 = all_10_1)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8227) implies:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8228)   ~ (all_52_7 = all_10_1)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7499), (8221) imply:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8229)   ~ (all_10_1 = e3)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8169), (8221) imply:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | |   (8230)   ~ (all_10_1 = e1)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | |   (8231)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (7509), (8171), (8231),
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | |            #610.
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | |   (8232)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8232) gives:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | 
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 178.90/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (8233)  all_56_7 = e1 & op(e1, e2) = e1
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8233) implies:
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (8234)  op(e1, e2) = e1
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8223), (8234), (function-axioms) are
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #834.
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (8235)  all_56_13 = e1 & op(e0, e2) = e1
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8235) implies:
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (8236)  all_56_13 = e1
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | |   (8237)  op(e0, e2) = e1
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8238)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8238) gives:
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8239)  all_56_1 = e0 & op(e3, e2) = e0
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8239) implies:
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8240)  all_56_1 = e0
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8241)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8241) gives:
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8242)  all_56_1 = e2 & op(e3, e2) = e2
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8240), (8242) are inconsistent by sub-proof
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1247.
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8243)  all_56_3 = e2 & op(e2, e2) = e2
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8243) implies:
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8244)  op(e2, e2) = e2
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8203), (8204), (8244), (function-axioms) are
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1043.
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8245)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 179.17/27.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8245) gives:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8246)  all_56_7 = e2 & op(e1, e2) = e2
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8246) implies:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8247)  op(e1, e2) = e2
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8248)  all_54_1 = e3
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8222), (8229), (8248) are inconsistent by
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #249.
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8249)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8249) gives:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8250)  all_54_1 = e2
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8222), (8250) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8251)  all_10_1 = e2
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8251) implies:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8252)  all_10_1 = e2
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8226), (8252) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8253)   ~ (all_52_6 = e2)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8247), (8253), (function-axioms) are
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8254)  all_54_1 = e1 | all_54_1 = e0
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8174), (8222), (8230), (8254) are inconsistent by
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #248.
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8255)  all_56_13 = e2 & op(e0, e2) = e2
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8255) implies:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8256)  op(e0, e2) = e2
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8237), (8256), (function-axioms) are
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #279.
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8257)  all_56_3 = e0 & op(e2, e2) = e0
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8257) implies:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8258)  op(e2, e2) = e0
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7509), (8258), (function-axioms) are
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8259)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8259) gives:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8260)  all_56_7 = e0 & op(e1, e2) = e0
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8260) implies:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8261)  all_56_7 = e0
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8262)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8262) gives:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8263)  all_56_1 = e2 & op(e3, e2) = e2
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8263) implies:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8264)  all_56_1 = e2
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8265)  all_54_1 = e3
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8222), (8229), (8265) are inconsistent by
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #249.
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8266)   ~ (all_54_1 = e3)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8267)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8267) gives:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8268)  all_54_1 = e2
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8222), (8268) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8269)  all_10_1 = e2
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8269) implies:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8270)  all_10_1 = e2
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8219), (8270) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8271)  all_57_16 = e2
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8226), (8270) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8272)   ~ (all_52_6 = e2)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8228), (8270) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8273)   ~ (all_52_7 = e2)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8229), (8270) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8274)   ~ (e3 = e2)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8275)  all_54_13 = e3
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (7501), (8275) are inconsistent by
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1302.
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8276)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8276) gives:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8277)  all_54_13 = e2
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (8273), (8277) are inconsistent by
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1185.
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8278)   ~ (all_54_13 = e2)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8279)  all_54_13 = e1 | all_54_13 = e0
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8279) gives:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8280)  all_54_13 = e1
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (8280) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8281)  all_52_7 = e1
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8281) implies:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8282)  all_52_7 = e1
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8215), (8282) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8283)  all_57_26 = e1
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (8282) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8284)   ~ (all_6_2 = e1)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8285)  all_54_9 = e3
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (8285) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8286)  all_52_6 = e3
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7500), (8286) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8287)  $false
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8287) is inconsistent.
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8288)   ~ (all_54_9 = e3)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8289)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8289) gives:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8290)  all_54_9 = e2
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (8290) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8291)  all_52_6 = e2
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8272), (8291) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8292)  $false
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8292) is inconsistent.
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8293)   ~ (all_54_9 = e2)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8294)  all_54_9 = e1 | all_54_9 = e0
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8294) gives:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8295)  all_54_9 = e1
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (8295) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8296)  all_52_6 = e1
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8223), (8296) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8297)  $false
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8297) is inconsistent.
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8298)  all_54_9 = e0
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (8298) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8299)  all_52_6 = e0
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (8299) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8300)   ~ (all_52_2 = e0)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (8299) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8301)   ~ (all_52_14 = e0)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8301) implies:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8302)   ~ (all_52_14 = e0)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (8299) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8303)   ~ (all_14_2 = e0)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8303) implies:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8304)   ~ (all_14_2 = e0)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7500), (8299) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8305)   ~ (e3 = e0)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8272), (8299) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8306)   ~ (e2 = e0)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8223), (8299) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8307)   ~ (e1 = e0)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (8299) imply:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8308)  op(e1, e2) = e0
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8309)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8309) gives:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8310)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8310) gives:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8311)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17) = all_57_2 & op(e3, all_57_18) =
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8311) implies:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8312)  op(e2, e3) = e3
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (7498), (8312), (function-axioms) are
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #286.
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8313)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_18) =
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8313) implies:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8314)   ~ (all_57_28 = e1)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8315)  op(e3, e3) = all_57_28
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8171), (8314), (8315), (function-axioms) are
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1030.
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8316)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8316) gives:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8317)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_17) =
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8317) implies:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8318)   ~ (all_57_1 = e2)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8319)  op(e3, all_57_16) = all_57_1
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8184), (8271), (8318), (8319), (function-axioms)
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #355.
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8320)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8320) implies:
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8321)   ~ (all_57_29 = e3)
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8217), (8321) imply:
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8322)  $false
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8322) is inconsistent.
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8323)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8323) gives:
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8324)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (8272), (8273), (8324),
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1612.
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8325)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8325) gives:
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8326)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8326) implies:
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8327)  op(e3, e1) = e1
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8170), (8327), (function-axioms) are
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8328)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8328) gives:
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8329)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8329) implies:
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8330)  op(e1, e2) = e1
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8308), (8330), (function-axioms) are
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #863.
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8331)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8331) implies:
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8332)  op(e0, e1) = all_57_27
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8333)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8334)  all_54_10 = e3
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (7512), (8334) are inconsistent by
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1621.
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8335)   ~ (all_54_10 = e3)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8336)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8336) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8337)  all_54_10 = e2
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (7510), (8337) are inconsistent by
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1620.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8338)   ~ (all_54_10 = e2)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8339)  all_54_10 = e1 | all_54_10 = e0
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8339) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8340)  all_54_10 = e1
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (8340) imply:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8341)  all_14_2 = e1
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8341) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8342)  all_14_2 = e1
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (8342) imply:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8343)   ~ (all_52_2 = e1)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (379), (8342) imply:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8344)   ~ (all_52_11 = e1)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (8342) imply:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8345)   ~ (all_52_14 = e1)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7512), (8342) imply:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8346)   ~ (e3 = e1)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7510), (8342) imply:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8347)   ~ (e2 = e1)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (8342) imply:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8348)  op(e1, e1) = e1
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8349)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8349) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8350)  all_56_9 = e1 & op(e3, e0) = e1
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (8171), (8264), (8350),
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #685.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8351)  all_56_10 = e1 & op(e2, e0) = e1
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8351) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8352)  all_56_10 = e1
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8353)  op(e2, e0) = e1
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8354)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8354) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8355)  all_56_9 = e2 & op(e3, e0) = e2
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8355) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8356)  all_56_9 = e2
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8333) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8357)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22) = all_57_8 & op(e1, all_57_23) =
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8357) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8358)  op(e1, e0) = e1
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8345), (8358), (function-axioms) are
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1609.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8359)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25) = all_57_12 & op(e0, all_57_26) =
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & all_57_25 = e0 & op(e3, e0) = e0) |
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0))
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8359) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8360)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e0 & op(e1, e0) = e0)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8360) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8361)  all_57_31 = e0
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8333), (8345), (8361), (function-axioms)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1583.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8362)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e0)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8363)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (8264), (8363),
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #247.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8364)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8364) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8365)  all_56_4 = e0 & op(e3, e1) = e0
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8365) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8366)  op(e3, e1) = e0
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8367)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (165), (169), (7502), (8366), (8367),
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1448.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8368)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8368) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8369)  all_56_8 = e3 & op(e1, e1) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8369) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8370)  op(e1, e1) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8348), (8370), (function-axioms) are
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8371)  all_56_14 = e3 & op(e0, e1) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8371) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8372)  all_56_14 = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8373)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8373) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8374)  all_56_12 = e2 & op(e0, e3) = e2
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8374) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8375)  all_56_12 = e2
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8376)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8376) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8377)  all_56_0 = e3 & op(e3, e3) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8377) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8378)  op(e3, e3) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8171), (8378), (function-axioms) are
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8379)  all_56_2 = e3 & op(e2, e3) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8379) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8380)  op(e2, e3) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (36), (163), (229), (386), (8300),
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8375), (8380), (function-axioms) are inconsistent
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #246.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8381)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8381) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8382)  all_56_6 = e3 & op(e1, e3) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8382) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8383)  all_56_6 = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8384)  op(e1, e3) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8385)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8385) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8386)  all_56_0 = e3 & op(e3, e3) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8386) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8387)  op(e3, e3) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (229), (231),
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (386), (8375), (8383), (8384), (8387),
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1220.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8388)  all_56_1 = e3 & op(e3, e2) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8388) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8389)  all_56_1 = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (162), (227), (7509), (8236), (8272),
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8389), (function-axioms) are inconsistent by
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #615.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8390)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8390) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8391)  all_56_4 = e3 & op(e3, e1) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8391) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8392)  op(e3, e1) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (8366), (8392), (function-axioms) are
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1577.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8393)  all_56_9 = e3 & op(e3, e0) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8393) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8394)  op(e3, e0) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (158), (160), (8194), (8224), (8302), (8362),
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8394), (function-axioms) are inconsistent by
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1143.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8395)  all_56_12 = e3 & op(e0, e3) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (159),
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (209), (387), (389), (8344),
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8372), (8395), (function-axioms) are inconsistent
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #261.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8396)  all_56_13 = e2 & op(e0, e2) = e2
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8396) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8397)  op(e0, e2) = e2
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8273), (8397), (function-axioms) are
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8398)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (389), (8372), (8398),
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1510.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8399)  all_56_9 = e0 & op(e3, e0) = e0
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8356), (8399) are inconsistent by sub-proof
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1574.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8400)  all_56_10 = e2 & op(e2, e0) = e2
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8400) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8401)  all_56_10 = e2
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8349) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8402)  all_56_9 = e1 & op(e3, e0) = e1
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (8171), (8264), (8402),
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #685.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (8171), (8264), (8351),
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8401), (function-axioms) are inconsistent by
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #680.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8403)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (387), (8345), (8403),
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1488.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8404)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8404) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8405)  all_56_11 = e2 & op(e1, e0) = e2
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8405) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8406)  all_56_11 = e2
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8407)  op(e1, e0) = e2
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8408)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8408) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8409)  all_56_6 = e3 & op(e1, e3) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8409) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8410)  all_56_6 = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8411)  op(e1, e3) = e3
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8333) gives:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8412)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22) = all_57_8 & op(e1, all_57_23) =
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8412) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8413)  op(e1, e0) = e1
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8345), (8413), (function-axioms) are
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1609.
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8414)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25) = all_57_12 & op(e0, all_57_26) =
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & all_57_25 = e0 & op(e3, e0) = e0) |
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0))
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8414) implies:
% 179.17/27.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8415)   ~ (all_57_13 = e2)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8416)  op(e0, e0) = all_57_31
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8417)  op(e0, e3) = all_57_25
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8418)  op(e0, all_57_26) = all_57_13
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8419)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e0 & op(e1, e0) = e0)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8283), (8418) imply:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8420)  op(e0, e1) = all_57_13
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31, e0, e0, simplifying with (39), (8416)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8421)  all_57_31 = all_6_2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13, e1, e0, simplifying with (157), (8420)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8422)  all_57_13 = all_52_11
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_57_27,
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_13, e1, e0, simplifying with (8332), (8420)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8423)  all_57_13 = all_57_27
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25, e3, e0, simplifying with (159), (8417)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8424)  all_57_25 = all_52_3
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e1, simplifying with (160), (8407) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8425)  all_52_14 = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (8411) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8426)  all_52_2 = e3
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e2, simplifying with (164), (8353) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8427)  all_52_13 = e1
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8422), (8423) imply:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8428)  all_57_27 = all_52_11
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8415), (8422) imply:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8429)   ~ (all_52_11 = e2)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8427) imply:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8430)   ~ (all_52_1 = e1)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (8425) imply:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8431)   ~ (all_6_2 = e2)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8432)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8432) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8433)  all_56_4 = e2 & op(e3, e1) = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8433) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8434)  all_56_4 = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8435)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (8264), (8435),
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1104.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8436)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8436) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8437)  all_56_4 = e0 & op(e3, e1) = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8434), (8437) are inconsistent by sub-proof
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1190.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8438)  all_56_9 = e0 & op(e3, e0) = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8438) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8439)  all_56_9 = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8440)  op(e3, e0) = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8441)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (39), (160), (210), (387), (8345),
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8439), (8440), (8441), (function-axioms) are
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1088.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8442)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8442) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8443)  all_56_11 = e3 & op(e1, e0) = e3
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8443) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8444)  all_56_11 = e3
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8406), (8444) imply:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8445)  e3 = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8445) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8446)  e3 = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8410), (8446) imply:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8447)  all_56_6 = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (8261), (8348), (8406),
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8447), (function-axioms) are inconsistent by
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1452.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8448)  all_56_15 = e3 & op(e0, e0) = e3
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8448) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8449)  op(e0, e0) = e3
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8450)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8450) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8451)  all_56_4 = e3 & op(e3, e1) = e3
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8451) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8452)  all_56_4 = e3
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8434), (8452) imply:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8453)  e3 = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8453) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8454)  e3 = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8410), (8454) imply:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8455)  all_56_6 = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (8261), (8348), (8406),
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8455), (function-axioms) are inconsistent by
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1452.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8456)  all_56_5 = e3 & op(e2, e1) = e3
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8456) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8457)  op(e2, e1) = e3
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7502), (8457), (function-axioms) are
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8458)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8458) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8459)  all_56_8 = e3 & op(e1, e1) = e3
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8459) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8460)  op(e1, e1) = e3
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8348), (8460), (function-axioms) are
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8461)  all_56_14 = e3 & op(e0, e1) = e3
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8461) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8462)  all_56_14 = e3
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8463)  all_56_15 = e0 & op(e0, e0) = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8463) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8464)  op(e0, e0) = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8449), (8464), (function-axioms) are
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8465)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8465) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8466)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (207),
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (387), (389), (8224), (8462), (8466),
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1439.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8467)  all_56_5 = e2 & op(e2, e1) = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8467) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8468)  op(e2, e1) = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8469)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8469) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8470)  all_56_2 = e0 & op(e2, e3) = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8470) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8471)  op(e2, e3) = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8472)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e2)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8171), (8471), (8472),
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #622.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8473)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e3) = e2)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8473) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8474)  all_56_6 = e2 & op(e1, e3) = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8474) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8475)  all_56_6 = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (8261), (8348), (8406),
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8475), (function-axioms) are inconsistent by
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1452.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8476)  all_56_12 = e2 & op(e0, e3) = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8476) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8477)  op(e0, e3) = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (8477) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8478)  all_52_3 = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (8468) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8479)  all_52_9 = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (8471) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8480)  all_52_1 = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8424), (8478) imply:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8481)  all_57_25 = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8419) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8482)  all_57_31 = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8333), (8345), (8482), (function-axioms)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1583.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8483)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e0)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8483) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8484)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8481), (8484) are inconsistent by sub-proof
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #649.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8485)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8485) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8486)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8283), (8486) are inconsistent by sub-proof
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1360.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8487)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8487) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8488)  op(e1, e0) = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (273), (8223), (8294), (8488),
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1046.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8489)  all_56_3 = e0 & op(e2, e2) = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8489) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8490)  op(e2, e2) = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7509), (8490), (function-axioms) are
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8491)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8491) gives:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8492)  all_56_5 = e0 & op(e2, e1) = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8492) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8493)  op(e2, e1) = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8468), (8493), (function-axioms) are
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #272.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8494)  all_56_10 = e0 & op(e2, e0) = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8352), (8494) are inconsistent by sub-proof
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1409.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8495)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (163), (213),
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (216), (8343), (8406), (8429), (8495),
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #244.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8496)  all_56_7 = e3 & op(e1, e2) = e3
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7500), (8496), (function-axioms) are
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #990.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8497)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (8348), (8406), (8497),
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1493.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8498)  all_56_15 = e2 & op(e0, e0) = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8498) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8499)  op(e0, e0) = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8499), (function-axioms) are
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8500)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (387), (8345), (8500),
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1488.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8501)  all_54_10 = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (8304), (8501) are inconsistent by
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1618.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8502)  all_54_13 = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (8224), (8502) are inconsistent by
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1312.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8503)  all_54_1 = e1 | all_54_1 = e0
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8174), (8222), (8230), (8503) are inconsistent by
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #248.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8504)  all_56_3 = e2 & op(e2, e2) = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8504) implies:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8505)  op(e2, e2) = e2
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8203), (8204), (8505), (function-axioms) are
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1043.
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8506)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8506) gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8507)  all_56_7 = e2 & op(e1, e2) = e2
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8507) implies:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8508)  all_56_7 = e2
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8261), (8508) imply:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8509)  e2 = e0
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (8509) imply:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8510)  $false
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8510) is inconsistent.
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8511)  all_56_13 = e2 & op(e0, e2) = e2
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8511) implies:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8512)  op(e0, e2) = e2
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8237), (8512), (function-axioms) are
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #279.
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8513)  all_56_13 = e0 & op(e0, e2) = e0
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8513) implies:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8514)  op(e0, e2) = e0
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8224), (8514), (function-axioms) are
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1463.
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | 
% 179.17/27.22  | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | 
% 179.17/27.22  | | | | | | | | |   (8515)  all_16_2 = e3
% 179.17/27.22  | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | COMBINE_EQS: (338), (8515) imply:
% 179.17/27.22  | | | | | | | | |   (8516)  all_14_2 = e3
% 179.17/27.22  | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | SIMP: (8516) implies:
% 179.17/27.22  | | | | | | | | |   (8517)  all_14_2 = e3
% 179.17/27.22  | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | COMBINE_EQS: (337), (8517) imply:
% 179.17/27.22  | | | | | | | | |   (8518)  all_24_2 = e3
% 179.17/27.22  | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | REDUCE: (363), (8517) imply:
% 179.17/27.22  | | | | | | | | |   (8519)   ~ (all_52_2 = e3)
% 179.17/27.22  | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | REDUCE: (376), (8517) imply:
% 179.17/27.22  | | | | | | | | |   (8520)   ~ (all_52_8 = e3)
% 179.17/27.22  | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | REDUCE: (381), (8517) imply:
% 179.17/27.22  | | | | | | | | |   (8521)   ~ (all_52_14 = e3)
% 179.17/27.22  | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | REDUCE: (51), (8517) imply:
% 179.17/27.22  | | | | | | | | |   (8522)  op(e1, e1) = e3
% 179.17/27.22  | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | BETA: splitting (238) gives:
% 179.17/27.22  | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | |   (8523)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 179.17/27.22  | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 179.17/27.22  | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | REF_CLOSE: (7), (36), (386), (7509), (8523),
% 179.17/27.22  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.22  | | | | | | | | | |            #285.
% 179.17/27.22  | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | |   (8524)  (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 179.17/27.22  | | | | | | | | | |             all_57_31 & $i(all_57_31))
% 179.17/27.22  | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | BETA: splitting (8524) gives:
% 179.17/27.22  | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | |   (8525)  all_57_30 = e0 & op(e1, e1) = e0
% 179.17/27.22  | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | ALPHA: (8525) implies:
% 179.17/27.22  | | | | | | | | | | |   (8526)  op(e1, e1) = e0
% 179.17/27.22  | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | REF_CLOSE: (7), (8522), (8526), (function-axioms) are
% 179.17/27.22  | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 179.17/27.22  | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | |   (8527)  op(e0, e0) = all_57_31 & $i(all_57_31)
% 179.17/27.22  | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | ALPHA: (8527) implies:
% 179.17/27.22  | | | | | | | | | | |   (8528)  op(e0, e0) = all_57_31
% 179.17/27.22  | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 179.17/27.22  | | | | | | | | | | |              all_57_31, e0, e0, simplifying with (39), (8528)
% 179.17/27.22  | | | | | | | | | | |              gives:
% 179.17/27.22  | | | | | | | | | | |   (8529)  all_57_31 = all_6_2
% 179.17/27.22  | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | BETA: splitting (58) gives:
% 179.17/27.22  | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | |   (8530)   ~ (all_18_2 = e1)
% 179.17/27.22  | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | REDUCE: (342), (8530) imply:
% 179.17/27.22  | | | | | | | | | | | |   (8531)   ~ (all_4_2 = e1)
% 179.17/27.22  | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | BETA: splitting (245) gives:
% 179.17/27.22  | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | |   (8532)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 179.17/27.22  | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 179.17/27.22  | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (8531), (8532),
% 179.17/27.22  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.22  | | | | | | | | | | | | |            #253.
% 179.17/27.22  | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | |   (8533)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 179.17/27.22  | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 179.17/27.22  | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & $i(all_57_17))
% 179.17/27.22  | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | BETA: splitting (8533) gives:
% 179.17/27.22  | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | |   (8534)  all_57_30 = e1 & op(e1, e1) = e1
% 179.17/27.22  | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | ALPHA: (8534) implies:
% 179.17/27.22  | | | | | | | | | | | | | |   (8535)  op(e1, e1) = e1
% 179.17/27.22  | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | REF_CLOSE: (8), (8522), (8535), (function-axioms) are
% 179.17/27.22  | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 179.17/27.22  | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | |   (8536)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 179.17/27.22  | | | | | | | | | | | | | |             (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 179.17/27.22  | | | | | | | | | | | | | |             $i(all_57_17))
% 179.17/27.22  | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | BETA: splitting (8536) gives:
% 179.17/27.22  | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | |   (8537)  all_57_31 = e1 & op(e0, e0) = e1
% 179.17/27.22  | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | ALPHA: (8537) implies:
% 179.17/27.22  | | | | | | | | | | | | | | |   (8538)  op(e0, e0) = e1
% 179.17/27.22  | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (8538), (function-axioms) are
% 179.17/27.22  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 179.17/27.22  | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | |   (8539)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 179.17/27.22  | | | | | | | | | | | | | | |           $i(all_57_17)
% 179.17/27.22  | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | ALPHA: (8539) implies:
% 179.17/27.22  | | | | | | | | | | | | | | |   (8540)   ~ (all_57_17 = e3)
% 179.17/27.22  | | | | | | | | | | | | | | |   (8541)  op(e3, e1) = all_57_17
% 179.17/27.22  | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 179.17/27.22  | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | |   (8542)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 179.17/27.22  | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 179.17/27.22  | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (8531), (8542),
% 179.17/27.22  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.22  | | | | | | | | | | | | | | | |            #253.
% 179.17/27.22  | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | |   (8543)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 179.17/27.22  | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 179.17/27.22  | | | | | | | | | | | | | | | |             op(e0, e1) = all_57_27 & $i(all_57_27))
% 179.17/27.22  | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | BETA: splitting (8543) gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | |   (8544)  all_57_30 = e1 & op(e1, e1) = e1
% 179.17/27.22  | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | ALPHA: (8544) implies:
% 179.17/27.22  | | | | | | | | | | | | | | | | |   (8545)  op(e1, e1) = e1
% 179.17/27.22  | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8522), (8545), (function-axioms) are
% 179.17/27.22  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 179.17/27.22  | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | |   (8546)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 179.17/27.22  | | | | | | | | | | | | | | | | |             (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 179.17/27.22  | | | | | | | | | | | | | | | | |             $i(all_57_27))
% 179.17/27.22  | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | BETA: splitting (8546) gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | |   (8547)  all_57_31 = e1 & op(e0, e0) = e1
% 179.17/27.22  | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | ALPHA: (8547) implies:
% 179.17/27.22  | | | | | | | | | | | | | | | | | |   (8548)  op(e0, e0) = e1
% 179.17/27.22  | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (8548), (function-axioms) are
% 179.17/27.22  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 179.17/27.22  | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | |   (8549)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 179.17/27.22  | | | | | | | | | | | | | | | | | |           $i(all_57_27)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | ALPHA: (8549) implies:
% 179.17/27.22  | | | | | | | | | | | | | | | | | |   (8550)   ~ (all_57_27 = e0)
% 179.17/27.22  | | | | | | | | | | | | | | | | | |   (8551)  op(e0, e1) = all_57_27
% 179.17/27.22  | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | |   (8552)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 179.17/27.22  | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (8531), (8552),
% 179.17/27.22  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.22  | | | | | | | | | | | | | | | | | | |            #253.
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | |   (8553)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 179.17/27.22  | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 179.17/27.22  | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_20 & $i(all_57_20))
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | BETA: splitting (8553) gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | |   (8554)  all_57_30 = e1 & op(e1, e1) = e1
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | ALPHA: (8554) implies:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | |   (8555)  op(e1, e1) = e1
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8522), (8555), (function-axioms) are
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | |   (8556)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | |             (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | |             $i(all_57_20))
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8556) gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | |   (8557)  all_57_31 = e1 & op(e0, e0) = e1
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8557) implies:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | |   (8558)  op(e0, e0) = e1
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (8558), (function-axioms) are
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | |   (8559)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | |           $i(all_57_20)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8559) implies:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | |   (8560)   ~ (all_57_20 = e2)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | |   (8561)  op(e2, e1) = all_57_20
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | |   (8562)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (8531), (8562),
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | |            #253.
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | |   (8563)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_30 & $i(all_57_30))
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8563) gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | |   (8564)  all_57_30 = e1 & op(e1, e1) = e1
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8564) implies:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | |   (8565)  op(e1, e1) = e1
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8522), (8565), (function-axioms) are
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | |   (8566)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_30))
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8566) gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |   (8567)  all_57_31 = e1 & op(e0, e0) = e1
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8567) implies:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |   (8568)  op(e0, e0) = e1
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (8568), (function-axioms) are
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |   (8569)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8569) implies:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |   (8570)   ~ (all_57_30 = e1)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |   (8571)  op(e1, e1) = all_57_30
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (157), (8551)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |   (8572)  all_57_27 = all_52_11
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30, e1, e1, simplifying with (8522), (8571)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |   (8573)  all_57_30 = e3
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (165), (8561)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |   (8574)  all_57_20 = all_52_9
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17, e1, e3, simplifying with (169), (8541)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |   (8575)  all_57_17 = all_52_8
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8560), (8574) imply:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |   (8576)   ~ (all_52_9 = e2)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8550), (8572) imply:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | |   (8577)   ~ (all_52_11 = e0)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | |   (8578)   ~ (all_24_2 = e3)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8518), (8578) imply:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | |   (8579)  $false
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8579) is inconsistent.
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | |   (8580)  ( ~ (all_24_0 = e2) & op(e3, e3) = all_24_0 &
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_24_0)) | ( ~ (all_24_1 = e0) & op(e3, e1)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | |             = all_24_1 & $i(all_24_1))
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8581)   ~ (all_30_2 = e2)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (8581) imply:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8582)   ~ (all_4_2 = e2)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8583)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8583) gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8584)  all_57_28 = e2 & op(e3, e3) = e2
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8584) implies:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8585)  op(e3, e3) = e2
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (204), (294), (386), (8531), (8582), (8585),
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1350.
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8586)  all_57_29 = e2 & op(e2, e2) = e2
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8586) implies:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8587)  op(e2, e2) = e2
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (8587), (function-axioms) are
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8588)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_26 & $i(all_57_26))
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8588) gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8589)  all_57_30 = e2 & op(e1, e1) = e2
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8589) implies:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8590)  op(e1, e1) = e2
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8522), (8590), (function-axioms) are
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8591)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26))
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8591) gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8592)  all_57_31 = e2 & op(e0, e0) = e2
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8592) implies:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8593)  op(e0, e0) = e2
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8593), (function-axioms) are
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8594)   ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_26)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8594) implies:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8595)   ~ (all_57_26 = e0)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8596)  op(e0, e2) = all_57_26
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8597)  all_54_0 = e3
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (8597) imply:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8598)  all_4_2 = e3
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (8598) imply:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8599)   ~ (all_52_12 = e3)
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (8598) imply:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8600)  op(e3, e3) = e3
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8601)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8601) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8602)  all_56_12 = e3 & op(e0, e3) = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8602) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8603)  all_56_12 = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8604)  op(e0, e3) = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8605)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8605) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8606)  all_56_9 = e3 & op(e3, e0) = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8606) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8607)  op(e3, e0) = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8599), (8607), (function-axioms) are
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8608)  all_56_10 = e3 & op(e2, e0) = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8608) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8609)  all_56_10 = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8610)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (8600), (8610), (function-axioms) are
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #283.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8611)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_29 & $i(all_57_29))
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8611) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8612)  all_57_30 = e2 & op(e1, e1) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8612) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8613)  op(e1, e1) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8522), (8613), (function-axioms) are
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8614)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29))
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8614) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8615)  all_57_31 = e2 & op(e0, e0) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8615) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8616)  op(e0, e0) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8616), (function-axioms) are
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8617)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8617) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8618)   ~ (all_57_29 = e2)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8619)  op(e2, e2) = all_57_29
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8620)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8620) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8621)  all_56_2 = e2 & op(e2, e3) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8621) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8622)  all_56_2 = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8623)  op(e2, e3) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (36), (159), (229),
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (386), (8600), (8603), (8604), (8622),
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8623), (function-axioms) are inconsistent by
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #243.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8624)  all_56_3 = e2 & op(e2, e2) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8624) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8625)  op(e2, e2) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8618), (8619), (8625), (function-axioms) are
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1043.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8626)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (165), (8561), (8576), (8609), (8626),
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1326.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8627)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8627) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8628)  all_56_11 = e3 & op(e1, e0) = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8521), (8628), (function-axioms) are
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #804.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8629)  all_56_15 = e3 & op(e0, e0) = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8629) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8630)  op(e0, e0) = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (206),
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (208), (387), (389), (8603), (8604),
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8630), (function-axioms) are inconsistent by
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #241.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8631)  all_56_13 = e3 & op(e0, e2) = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8631) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8632)  all_56_13 = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8633)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8633) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8634)  all_56_0 = e3 & op(e3, e3) = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8634) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8635)  all_56_0 = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8636)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8636) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8637)  all_56_9 = e3 & op(e3, e0) = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8637) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8638)  op(e3, e0) = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8599), (8638), (function-axioms) are
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8639)  all_56_10 = e3 & op(e2, e0) = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8639) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8640)  all_56_10 = e3
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8641)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (8600), (8641), (function-axioms) are
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #283.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8642)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_29 & $i(all_57_29))
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8642) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8643)  all_57_30 = e2 & op(e1, e1) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8643) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8644)  op(e1, e1) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8522), (8644), (function-axioms) are
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8645)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29))
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8645) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8646)  all_57_31 = e2 & op(e0, e0) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8646) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8647)  op(e0, e0) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8647), (function-axioms) are
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8648)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8648) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8649)   ~ (all_57_29 = e2)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8650)  op(e2, e2) = all_57_29
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8651)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8651) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8652)  all_56_2 = e2 & op(e2, e3) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8652) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8653)  all_56_2 = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8654)  op(e2, e3) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8655)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8655) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8656)  all_56_2 = e1 & op(e2, e3) = e1
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8656) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8657)  all_56_2 = e1
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8653), (8657) are inconsistent by sub-proof
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1363.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8658)  all_56_3 = e1 & op(e2, e2) = e1
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8658) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8659)  op(e2, e2) = e1
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7509), (8659), (function-axioms) are
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8660)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8660) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8661)  all_56_5 = e1 & op(e2, e1) = e1
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8661) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8662)  all_56_5 = e1
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8663)  op(e2, e1) = e1
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8664)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8664) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8665)  all_56_4 = e0 & op(e3, e1) = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8665) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8666)  all_56_4 = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8667)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8667) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8668)  all_56_4 = e2 & op(e3, e1) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8666), (8668) are inconsistent by sub-proof
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #870.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8669)  all_56_5 = e2 & op(e2, e1) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8669) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8670)  op(e2, e1) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8561), (8576), (8670), (function-axioms)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1327.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8671)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8671) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8672)  all_56_8 = e2 & op(e1, e1) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8672) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8673)  op(e1, e1) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8522), (8673), (function-axioms) are
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8674)  all_56_14 = e2 & op(e0, e1) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8674) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8675)  op(e0, e1) = e2
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8676)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8676) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8677)  all_56_12 = e1 & op(e0, e3) = e1
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8677) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8678)  all_56_12 = e1
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8679)  op(e0, e3) = e1
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8680)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (8654), (8680),
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1181.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8681)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8681) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8682)  all_56_6 = e0 & op(e1, e3) = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8682) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8683)  all_56_6 = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8684)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8684) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8685)  all_56_2 = e0 & op(e2, e3) = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8685) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8686)  op(e2, e3) = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8654), (8686), (function-axioms) are
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1412.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8687)  all_56_3 = e0 & op(e2, e2) = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8687) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8688)  op(e2, e2) = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7509), (8688), (function-axioms) are
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8689)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8689) gives:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8690)  all_56_5 = e0 & op(e2, e1) = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8690) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8691)  all_56_5 = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8662), (8691) are inconsistent by sub-proof
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #981.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8692)  all_56_10 = e0 & op(e2, e0) = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8692) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8693)  all_56_10 = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8640), (8693) imply:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8694)  e3 = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8694) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8695)  e3 = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7508), (8695) imply:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8696)  all_56_3 = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8635), (8695) imply:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8697)  all_56_0 = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (235), (8640), (8653),
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8663), (8678), (8683), (8696), (8697),
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #374.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8698)  all_56_12 = e0 & op(e0, e3) = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8698) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8699)  op(e0, e3) = e0
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8679), (8699), (function-axioms) are
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1589.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8700)  all_56_13 = e1 & op(e0, e2) = e1
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8700) implies:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8701)  all_56_13 = e1
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8632), (8701) are inconsistent by sub-proof
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1357.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8702)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (8675), (8702),
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #856.
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8703)  all_56_5 = e0 & op(e2, e1) = e0
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8703) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8704)  all_56_5 = e0
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8662), (8704) are inconsistent by sub-proof
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #981.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8705)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (8522), (8551), (8577), (8705),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #872.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8706)  all_56_10 = e1 & op(e2, e0) = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8706) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8707)  all_56_10 = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8640), (8707) are inconsistent by sub-proof
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1489.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8708)  all_56_3 = e2 & op(e2, e2) = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8708) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8709)  op(e2, e2) = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8649), (8650), (8709), (function-axioms) are
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1043.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8710)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (165), (8561), (8576), (8640), (8710),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1326.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8711)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8711) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8712)  all_56_11 = e3 & op(e1, e0) = e3
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8521), (8712), (function-axioms) are
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #804.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8713)  all_56_15 = e3 & op(e0, e0) = e3
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (36), (39), (158), (162), (165), (167),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (239), (240), (246), (248), (254),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (383), (386), (389), (7498), (7509), (8520),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8522), (8529), (8561), (8572), (8573), (8576),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8577), (8595), (8596), (8600), (8713),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #239.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8714)  all_56_2 = e3 & op(e2, e3) = e3
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8714) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8715)  op(e2, e3) = e3
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (7498), (8715), (function-axioms) are
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #286.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8716)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8716) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8717)  all_56_6 = e3 & op(e1, e3) = e3
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8717) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8718)  op(e1, e3) = e3
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8519), (8718), (function-axioms) are
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #855.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8719)  all_56_12 = e3 & op(e0, e3) = e3
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8719) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8720)  all_56_12 = e3
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8721)  op(e0, e3) = e3
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (206),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (208), (209), (387), (389), (8632), (8720),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8721), (function-axioms) are inconsistent by
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #999.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8722)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8722) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8723)  all_56_14 = e3 & op(e0, e1) = e3
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8723) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8724)  all_56_14 = e3
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (165), (217),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (8522), (8551), (8561), (8570),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8571), (8576), (8577), (8724), (function-axioms)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #238.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8725)  all_56_15 = e3 & op(e0, e0) = e3
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (36), (39), (158), (162), (165), (167),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (169), (239), (240), (246), (248), (254),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (383), (386), (389), (7498), (7509), (8520),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8522), (8529), (8561), (8572), (8573), (8576),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8577), (8595), (8596), (8600), (8725),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #239.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8726)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (8531), (8582), (8726) are
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1354.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8727)  all_30_2 = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (8727) imply:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8728)  all_4_2 = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8728) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8729)  all_4_2 = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (8729) imply:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8730)   ~ (all_52_4 = e2)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (8729) imply:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8731)  op(e3, e3) = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8732)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (7498), (8731), (8732),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #265.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8733)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8733) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8734)  all_56_6 = e3 & op(e1, e3) = e3
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8734) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8735)  op(e1, e3) = e3
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8519), (8735), (function-axioms) are
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #855.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8736)  all_56_12 = e3 & op(e0, e3) = e3
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8736) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8737)  all_56_12 = e3
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8738)  op(e0, e3) = e3
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8739)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8739) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8740)  all_56_2 = e2 & op(e2, e3) = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8740) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8741)  all_56_2 = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (229),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (235), (386), (8731), (8738), (8741),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #237.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8742)  all_56_3 = e2 & op(e2, e2) = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8742) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8743)  op(e2, e2) = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (8743), (function-axioms) are
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8744)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8744) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8745)  all_56_5 = e2 & op(e2, e1) = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8745) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8746)  op(e2, e1) = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8561), (8576), (8746), (function-axioms)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1327.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8747)  all_56_10 = e2 & op(e2, e0) = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8747) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8748)  all_56_10 = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8749)  op(e2, e0) = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8580) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8750)   ~ (all_24_0 = e2) & op(e3, e3) = all_24_0 &
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_24_0)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8731), (8750), (function-axioms) are inconsistent
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #850.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8751)   ~ (all_24_1 = e0) & op(e3, e1) = all_24_1 &
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_24_1)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8751) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8752)   ~ (all_24_1 = e0)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8753)  op(e3, e1) = all_24_1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8754)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8754) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8755)  all_56_4 = e2 & op(e3, e1) = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8755) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8756)  all_56_4 = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8757)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8757) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8758)  all_56_0 = e1 & op(e3, e3) = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8758) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8759)  op(e3, e3) = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8731), (8759), (function-axioms) are
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8760)  all_56_1 = e1 & op(e3, e2) = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (169), (230), (236),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (8520), (8731), (8752), (8753), (8760),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #844.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8761)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8761) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8762)  all_56_4 = e1 & op(e3, e1) = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8756), (8762) are inconsistent by sub-proof
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1127.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8763)  all_56_9 = e1 & op(e3, e0) = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (169), (230), (236),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (8520), (8731), (8752), (8753), (8763),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #848.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8764)  all_56_5 = e2 & op(e2, e1) = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8764) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8765)  op(e2, e1) = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8561), (8576), (8765), (function-axioms)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1327.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8766)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8766) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8767)  all_56_8 = e2 & op(e1, e1) = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8767) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8768)  op(e1, e1) = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8522), (8768), (function-axioms) are
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8769)  all_56_14 = e2 & op(e0, e1) = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8769) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8770)  all_56_14 = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8771)  op(e0, e1) = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8772)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8772) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8773)  all_56_12 = e1 & op(e0, e3) = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8773) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8774)  op(e0, e3) = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (8738), (8774), (function-axioms) are
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1529.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8775)  all_56_13 = e1 & op(e0, e2) = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8775) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8776)  all_56_13 = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8777)  op(e0, e2) = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8778)  all_56_15 = e0 & op(e0, e0) = e0
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8778) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8779)  op(e0, e0) = e0
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8780)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8780) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8781)  all_56_9 = e1 & op(e3, e0) = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (169), (230), (236),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (8520), (8731), (8752), (8753), (8781),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #848.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8782)  all_56_10 = e1 & op(e2, e0) = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8782) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8783)  all_56_10 = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8748), (8783) are inconsistent by sub-proof
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1064.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8784)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8784) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8785)  all_56_11 = e1 & op(e1, e0) = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8785) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8786)  all_56_11 = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8787)  op(e1, e0) = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8788)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (7509), (8730), (8788),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #274.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8789)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8789) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8790)  all_56_7 = e2 & op(e1, e2) = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8790) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8791)  all_56_7 = e2
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8792)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8792) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8793)  all_56_6 = e0 & op(e1, e3) = e0
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8793) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8794)  all_56_6 = e0
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8795)  op(e1, e3) = e0
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8796)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8796) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8797)  all_56_0 = e1 & op(e3, e3) = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8797) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8798)  op(e3, e3) = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8731), (8798), (function-axioms) are
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8799)  all_56_2 = e1 & op(e2, e3) = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8799) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8800)  all_56_2 = e1
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8801)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8801) gives:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8802)  all_56_2 = e0 & op(e2, e3) = e0
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8802) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8803)  all_56_2 = e0
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (36), (159), (231), (8531), (8738),
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8794), (8803), (function-axioms) are inconsistent
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1520.
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8804)  all_56_3 = e0 & op(e2, e2) = e0
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8804) implies:
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8805)  op(e2, e2) = e0
% 179.17/27.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7509), (8805), (function-axioms) are
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8806)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8806) gives:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8807)  all_56_5 = e0 & op(e2, e1) = e0
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8807) implies:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8808)  all_56_5 = e0
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8809)  op(e2, e1) = e0
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8810)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8810) gives:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8811)  all_56_4 = e1 & op(e3, e1) = e1
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8811) implies:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8812)  op(e3, e1) = e1
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2, e0,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e0, simplifying with (39), (8779) gives:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8813)  all_6_2 = e0
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, e0, simplifying with (157), (8771) gives:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8814)  all_52_11 = e2
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (8777) gives:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8815)  all_52_7 = e1
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (8738) gives:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8816)  all_52_3 = e3
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e1, simplifying with (160), (8787) gives:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8817)  all_52_14 = e1
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (8795) gives:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8818)  all_52_2 = e0
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e2, simplifying with (164), (8749) gives:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8819)  all_52_13 = e2
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (8809) gives:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8820)  all_52_9 = e0
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (8812) gives:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8821)  all_52_8 = e1
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_24_1, e1, e3, simplifying with (169), (8753)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8822)  all_52_8 = all_24_1
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8821), (8822) imply:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8823)  all_24_1 = e1
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8529), (8813) imply:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8824)  all_57_31 = e0
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8574), (8820) imply:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8825)  all_57_20 = e0
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8575), (8821) imply:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8826)  all_57_17 = e1
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8521), (8817) imply:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8827)   ~ (e3 = e1)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (8813) imply:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8828)   ~ (e1 = e0)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8829)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8829) gives:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8830)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (7498), (8520), (8830),
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #280.
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8831)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (8730), (8826), (8831), (function-axioms)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #846.
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8832)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8832) gives:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8833)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8833) gives:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8834)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_21) =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8834) implies:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8835)  op(e2, e1) = e2
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8561), (8576), (8835), (function-axioms)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1327.
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8836)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_20) =
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8836) implies:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8837)  op(e0, e2) = e2
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8777), (8837), (function-axioms) are
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #279.
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8838)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8838) gives:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8839)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8839) implies:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8840)  op(e1, e3) = e1
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8795), (8840), (function-axioms) are
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1251.
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8841)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8841) gives:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8842)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8842) implies:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8843)  all_57_20 = e1
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8825), (8843) imply:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8844)  e1 = e0
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8844) implies:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8845)  e1 = e0
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8800), (8845) imply:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8846)  all_56_2 = e0
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (36), (159), (231), (8531), (8738),
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8794), (8846), (function-axioms) are inconsistent
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1520.
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8847)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8847) implies:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8848)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8551), (8771), (8824), (8848),
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #861.
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8849)  all_56_5 = e1 & op(e2, e1) = e1
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8849) implies:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8850)  all_56_5 = e1
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8808), (8850) imply:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8851)  e1 = e0
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8851) implies:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8852)  e1 = e0
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8800), (8852) imply:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8853)  all_56_2 = e0
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (36), (159), (231), (8531), (8738),
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8794), (8853), (function-axioms) are inconsistent
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1520.
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8854)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (215), (216), (8771),
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8786), (8794), (8854), (function-axioms) are
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #822.
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8855)  all_56_10 = e0 & op(e2, e0) = e0
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8748), (8855) are inconsistent by sub-proof
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #821.
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8856)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8856) gives:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8857)  all_56_6 = e1 & op(e1, e3) = e1
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8857) implies:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8858)  op(e1, e3) = e1
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8795), (8858), (function-axioms) are
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1251.
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8859)  all_56_12 = e1 & op(e0, e3) = e1
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8859) implies:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8860)  op(e0, e3) = e1
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (8738), (8860), (function-axioms) are
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1529.
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8861)  all_56_7 = e0 & op(e1, e2) = e0
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8791), (8861) are inconsistent by sub-proof
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #270.
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8862)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8862) gives:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8863)  all_56_8 = e0 & op(e1, e1) = e0
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8863) implies:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8864)  op(e1, e1) = e0
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8522), (8864), (function-axioms) are
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8865)  all_56_11 = e0 & op(e1, e0) = e0
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8865) implies:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8866)  all_56_11 = e0
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8786), (8866) are inconsistent by sub-proof
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #736.
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8867)  all_56_13 = e2 & op(e0, e2) = e2
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8776), (8867) are inconsistent by sub-proof
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1513.
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8868)  all_56_15 = e1 & op(e0, e0) = e1
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8868) implies:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8869)  op(e0, e0) = e1
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (8869), (function-axioms) are
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8870)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8870) implies:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8871)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8737), (8770), (8776), (8871) are
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #852.
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8872)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (387), (8771), (8872),
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #856.
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | Case 2:
% 179.17/27.26  | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | |   (8873)  all_18_2 = e1
% 179.17/27.26  | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | COMBINE_EQS: (342), (8873) imply:
% 179.17/27.26  | | | | | | | | | | | |   (8874)  all_4_2 = e1
% 179.17/27.26  | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | REDUCE: (357), (8874) imply:
% 179.17/27.26  | | | | | | | | | | | |   (8875)   ~ (all_52_4 = e1)
% 179.17/27.26  | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | REDUCE: (359), (8874) imply:
% 179.17/27.26  | | | | | | | | | | | |   (8876)   ~ (all_52_8 = e1)
% 179.17/27.26  | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | REDUCE: (361), (8874) imply:
% 179.17/27.26  | | | | | | | | | | | |   (8877)   ~ (all_52_12 = e1)
% 179.17/27.26  | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | REDUCE: (36), (8874) imply:
% 179.17/27.26  | | | | | | | | | | | |   (8878)  op(e3, e3) = e1
% 179.17/27.26  | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | BETA: splitting (235) gives:
% 179.17/27.26  | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | Case 1:
% 179.17/27.26  | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | |   (8879)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 179.17/27.26  | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 179.17/27.26  | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | BETA: splitting (8879) gives:
% 179.17/27.26  | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | Case 1:
% 179.17/27.26  | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | |   (8880)  all_56_0 = e3 & op(e3, e3) = e3
% 179.17/27.26  | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | ALPHA: (8880) implies:
% 179.17/27.26  | | | | | | | | | | | | | |   (8881)  op(e3, e3) = e3
% 179.17/27.26  | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | REF_CLOSE: (8), (8878), (8881), (function-axioms) are
% 179.17/27.26  | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 179.17/27.26  | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | Case 2:
% 179.17/27.26  | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | |   (8882)  all_56_2 = e3 & op(e2, e3) = e3
% 179.17/27.26  | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | ALPHA: (8882) implies:
% 179.17/27.26  | | | | | | | | | | | | | |   (8883)  op(e2, e3) = e3
% 179.17/27.26  | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | | REF_CLOSE: (167), (7498), (8883), (function-axioms) are
% 179.17/27.26  | | | | | | | | | | | | | |            inconsistent by sub-proof #286.
% 179.17/27.26  | | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | | End of split
% 179.17/27.26  | | | | | | | | | | | | | 
% 179.17/27.26  | | | | | | | | | | | | Case 2:
% 179.17/27.26  | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | |   (8884)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 179.17/27.27  | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 179.17/27.27  | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | BETA: splitting (8884) gives:
% 179.17/27.27  | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | Case 1:
% 179.17/27.27  | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | |   (8885)  all_56_6 = e3 & op(e1, e3) = e3
% 179.17/27.27  | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | ALPHA: (8885) implies:
% 179.17/27.27  | | | | | | | | | | | | | |   (8886)  op(e1, e3) = e3
% 179.17/27.27  | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | REF_CLOSE: (163), (8519), (8886), (function-axioms) are
% 179.17/27.27  | | | | | | | | | | | | | |            inconsistent by sub-proof #855.
% 179.17/27.27  | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | Case 2:
% 179.17/27.27  | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | |   (8887)  all_56_12 = e3 & op(e0, e3) = e3
% 179.17/27.27  | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | ALPHA: (8887) implies:
% 179.17/27.27  | | | | | | | | | | | | | |   (8888)  all_56_12 = e3
% 179.17/27.27  | | | | | | | | | | | | | |   (8889)  op(e0, e3) = e3
% 179.17/27.27  | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 179.17/27.27  | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | Case 1:
% 179.17/27.27  | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | |   (8890)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 179.17/27.27  | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 179.17/27.27  | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (7499), (8878), (8890),
% 179.17/27.27  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.27  | | | | | | | | | | | | | | |            #802.
% 179.17/27.27  | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | Case 2:
% 179.17/27.27  | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | |   (8891)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 179.17/27.27  | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 179.17/27.27  | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | BETA: splitting (8891) gives:
% 179.17/27.27  | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27  | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | |   (8892)  all_56_4 = e3 & op(e3, e1) = e3
% 179.17/27.27  | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | ALPHA: (8892) implies:
% 179.17/27.27  | | | | | | | | | | | | | | | |   (8893)  op(e3, e1) = e3
% 179.17/27.27  | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8520), (8893), (function-axioms) are
% 179.17/27.27  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 179.17/27.27  | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27  | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | |   (8894)  all_56_9 = e3 & op(e3, e0) = e3
% 179.17/27.27  | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | ALPHA: (8894) implies:
% 179.17/27.27  | | | | | | | | | | | | | | | |   (8895)  all_56_9 = e3
% 179.17/27.27  | | | | | | | | | | | | | | | |   (8896)  op(e3, e0) = e3
% 179.17/27.27  | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 179.17/27.27  | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27  | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | |   (8897)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 179.17/27.27  | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 179.17/27.27  | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7509), (8878), (8897),
% 179.17/27.27  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.27  | | | | | | | | | | | | | | | | |            #250.
% 179.17/27.27  | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27  | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | |   (8898)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 179.17/27.27  | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 179.17/27.27  | | | | | | | | | | | | | | | | |             op(e3, e2) = all_57_16 & $i(all_57_16))
% 179.17/27.27  | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | BETA: splitting (8898) gives:
% 179.17/27.27  | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | |   (8899)  all_57_30 = e2 & op(e1, e1) = e2
% 179.17/27.27  | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | ALPHA: (8899) implies:
% 179.17/27.27  | | | | | | | | | | | | | | | | | |   (8900)  op(e1, e1) = e2
% 179.17/27.27  | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8522), (8900), (function-axioms) are
% 179.17/27.27  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 179.17/27.27  | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | |   (8901)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 179.17/27.27  | | | | | | | | | | | | | | | | | |             (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 179.17/27.27  | | | | | | | | | | | | | | | | | |             $i(all_57_16))
% 179.17/27.27  | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | BETA: splitting (8901) gives:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | |   (8902)  all_57_31 = e2 & op(e0, e0) = e2
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | ALPHA: (8902) implies:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | |   (8903)  op(e0, e0) = e2
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8903), (function-axioms) are
% 179.17/27.27  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | |   (8904)   ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 179.17/27.27  | | | | | | | | | | | | | | | | | | |           $i(all_57_16)
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | ALPHA: (8904) implies:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | |   (8905)  op(e3, e2) = all_57_16
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | |   (8906)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7509), (8878), (8906),
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | |            #250.
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | |   (8907)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | |             op(e0, e2) = all_57_26 & $i(all_57_26))
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | BETA: splitting (8907) gives:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | |   (8908)  all_57_30 = e2 & op(e1, e1) = e2
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | ALPHA: (8908) implies:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | |   (8909)  op(e1, e1) = e2
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8522), (8909), (function-axioms) are
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | |   (8910)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | |             (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26))
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8910) gives:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | |   (8911)  all_57_31 = e2 & op(e0, e0) = e2
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8911) implies:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | |   (8912)  op(e0, e0) = e2
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8912), (function-axioms) are
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | |   (8913)   ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_26)
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8913) implies:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | |   (8914)  op(e0, e2) = all_57_26
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | |   (8915)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7509), (8878), (8915),
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | |            #250.
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | |   (8916)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e2) = all_57_29 & $i(all_57_29))
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8916) gives:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | |   (8917)  all_57_30 = e2 & op(e1, e1) = e2
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8917) implies:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | |   (8918)  op(e1, e1) = e2
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8522), (8918), (function-axioms) are
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | |   (8919)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29))
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8919) gives:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (8920)  all_57_31 = e2 & op(e0, e0) = e2
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8920) implies:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (8921)  op(e0, e0) = e2
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8921), (function-axioms) are
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (8922)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8922) implies:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (8923)   ~ (all_57_29 = e2)
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (8924)  op(e2, e2) = all_57_29
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8925)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e2) = e2)
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8878), (8923), (8924), (8925),
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            #779.
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (8926)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & $i(all_57_23))
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8926) gives:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8927)  all_57_30 = e2 & op(e1, e1) = e2
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8927) implies:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8928)  op(e1, e1) = e2
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8522), (8928), (function-axioms) are
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8929)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23))
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8929) gives:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8930)  all_57_31 = e2 & op(e0, e0) = e2
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8930) implies:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8931)  op(e0, e0) = e2
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (8931), (function-axioms) are
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8932)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_23)
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8932) implies:
% 179.17/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8933)   ~ (all_57_23 = e1)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8934)  op(e1, e2) = all_57_23
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7497) gives:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8935)   ~ (all_10_0 = e1) & op(e3, e3) = all_10_0 &
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_10_0)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8935) implies:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8936)   ~ (all_10_0 = e1)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8937)  op(e3, e3) = all_10_0
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_10_0,
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e3, simplifying with (8878), (8937) gives:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8938)  all_10_0 = e1
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8936), (8938) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8939)  $false
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8939) is inconsistent.
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8940)   ~ (all_10_1 = e0) & op(e3, e2) = all_10_1 &
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_10_1)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8940) implies:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8941)   ~ (all_10_1 = e0)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8942)  op(e3, e2) = all_10_1
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26, e2, e0, simplifying with (158), (8914)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8943)  all_57_26 = all_52_7
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (8889) gives:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8944)  all_52_3 = e3
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_23, e2, e1, simplifying with (162), (8934)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8945)  all_57_23 = all_52_6
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29, e2, e2, simplifying with (7509), (8924)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8946)  all_57_29 = e3
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, e3, simplifying with (168), (8896) gives:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8947)  all_52_12 = e3
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16, e2, e3, simplifying with (170), (8905)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8948)  all_57_16 = all_52_4
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16, e2, e3, simplifying with (8905), (8942)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8949)  all_57_16 = all_10_1
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8948), (8949) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8950)  all_52_4 = all_10_1
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8950) implies:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8951)  all_52_4 = all_10_1
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (8951) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8952)  all_54_1 = all_10_1
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8933), (8945) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8953)   ~ (all_52_6 = e1)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (8944) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8954)   ~ (all_52_7 = e3)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (8944) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8955)   ~ (all_52_11 = e3)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8955) implies:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8956)   ~ (all_52_11 = e3)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (8951) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8957)   ~ (all_52_6 = all_10_1)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8957) implies:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8958)   ~ (all_52_6 = all_10_1)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (8951) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8959)   ~ (all_52_7 = all_10_1)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8959) implies:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8960)   ~ (all_52_7 = all_10_1)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (8951) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8961)   ~ (all_52_8 = all_10_1)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8961) implies:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8962)   ~ (all_52_8 = all_10_1)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7499), (8951) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8963)   ~ (all_10_1 = e3)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8875), (8951) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8964)   ~ (all_10_1 = e1)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (8947) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8965)   ~ (all_52_13 = e3)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (8947) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8966)   ~ (all_6_2 = e3)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8966) implies:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8967)   ~ (all_6_2 = e3)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8968)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (7509), (8968),
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #285.
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8969)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & $i(all_57_18))
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8969) gives:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8970)  all_57_30 = e0 & op(e1, e1) = e0
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8970) implies:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8971)  op(e1, e1) = e0
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8522), (8971), (function-axioms) are
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8972)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_18))
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8972) gives:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8973)  all_57_31 = e0 & op(e0, e0) = e0
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8973) implies:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8974)  all_57_31 = e0
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8529), (8974) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8975)  all_6_2 = e0
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8975) implies:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8976)  all_6_2 = e0
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (8976) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8977)   ~ (all_52_7 = e0)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (8976) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8978)   ~ (all_52_13 = e0)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8967), (8976) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8979)   ~ (e3 = e0)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (8976) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8980)   ~ (e2 = e0)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (8976) imply:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8981)   ~ (e1 = e0)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8982)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8982) gives:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8983)  all_56_1 = e0 & op(e3, e2) = e0
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8983) implies:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8984)  all_56_1 = e0
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8985)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e2)
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8985) gives:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8986)  all_56_0 = e2 & op(e3, e3) = e2
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8986) implies:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8987)  op(e3, e3) = e2
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8878), (8987), (function-axioms) are
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8988)  all_56_1 = e2 & op(e3, e2) = e2
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8984), (8988) are inconsistent by sub-proof
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1247.
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8989)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e2)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8989) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8990)  all_56_4 = e2 & op(e3, e1) = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8990) implies:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8991)  all_56_4 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8992)  all_54_1 = e3
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8952), (8963), (8992) are inconsistent by
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #249.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8993)   ~ (all_54_1 = e3)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8994)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8994) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8995)  all_54_1 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8952), (8995) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8996)  all_10_1 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8996) implies:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8997)  all_10_1 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8960), (8997) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8998)   ~ (all_52_7 = e2)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8963), (8997) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (8999)   ~ (e3 = e2)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8942), (8997) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9000)  op(e3, e2) = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9001)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (135), (158), (170), (8889), (9000), (9001),
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #236.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9002)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9002) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9003)  all_56_14 = e2 & op(e0, e1) = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9003) implies:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9004)  all_56_14 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9005)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e1)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9005) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9006)  all_56_4 = e1 & op(e3, e1) = e1
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9006) implies:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9007)  op(e3, e1) = e1
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8876), (9007), (function-axioms) are
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9008)  all_56_5 = e1 & op(e2, e1) = e1
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9008) implies:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9009)  all_56_5 = e1
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9010)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9010) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9011)  all_56_4 = e0 & op(e3, e1) = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8991), (9011) are inconsistent by sub-proof
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1190.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9012)  all_56_5 = e0 & op(e2, e1) = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9009), (9012) are inconsistent by sub-proof
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #883.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9013)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9013) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9014)  all_56_8 = e0 & op(e1, e1) = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9014) implies:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9015)  op(e1, e1) = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8522), (9015), (function-axioms) are
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9016)  all_56_14 = e0 & op(e0, e1) = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9004), (9016) are inconsistent by sub-proof
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1443.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9017)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e1) = e1)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (39), (158), (208), (389), (8522),
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8888), (8998), (9017), (function-axioms) are
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #818.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9018)  all_56_15 = e2 & op(e0, e0) = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9018) implies:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9019)  op(e0, e0) = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (9019), (function-axioms) are
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9020)  all_54_1 = e1 | all_54_1 = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8941), (8952), (8964), (9020) are inconsistent by
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #248.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9021)  all_56_9 = e2 & op(e3, e0) = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8895), (9021) are inconsistent by sub-proof
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #777.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9022)  all_56_3 = e0 & op(e2, e2) = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9022) implies:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9023)  op(e2, e2) = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7509), (9023), (function-axioms) are
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9024)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9024) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9025)  all_56_7 = e0 & op(e1, e2) = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9025) implies:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9026)  op(e1, e2) = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9027)  all_54_1 = e3
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8952), (8963), (9027) are inconsistent by
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #249.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9028)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9028) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9029)  all_54_1 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8952), (9029) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9030)  all_10_1 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9030) implies:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9031)  all_10_1 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8949), (9031) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9032)  all_57_16 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8960), (9031) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9033)   ~ (all_52_7 = e2)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8962), (9031) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9034)   ~ (all_52_8 = e2)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8942), (9031) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9035)  op(e3, e2) = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9036)  all_54_2 = e3
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9036) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9037)  all_52_8 = e3
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8520), (9037) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9038)  $false
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9038) is inconsistent.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9039)   ~ (all_54_2 = e3)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9040)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9040) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9041)  all_54_2 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9041) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9042)  all_52_8 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9034), (9042) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9043)  $false
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9043) is inconsistent.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9044)  all_54_2 = e1 | all_54_2 = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9044) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9045)  all_54_2 = e1
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9045) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9046)  all_52_8 = e1
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8876), (9046) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9047)  $false
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9047) is inconsistent.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9048)  all_54_2 = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9048) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9049)  all_52_8 = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (9049) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9050)   ~ (all_52_9 = e0)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9050) implies:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9051)   ~ (all_52_9 = e0)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (9049) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9052)   ~ (all_52_11 = e0)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9052) implies:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9053)   ~ (all_52_11 = e0)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9054)  all_54_13 = e3
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (7501), (9054) are inconsistent by
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1302.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9055)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9055) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9056)  all_54_13 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (9033), (9056) are inconsistent by
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1185.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9057)  all_54_13 = e1 | all_54_13 = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9057) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9058)  all_54_13 = e1
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (9058) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9059)  all_52_7 = e1
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9059) implies:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9060)  all_52_7 = e1
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (9060) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9061)   ~ (all_52_11 = e1)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9061) implies:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9062)   ~ (all_52_11 = e1)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9063)  all_54_14 = e3
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (8956), (9063) are inconsistent by
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1259.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9064)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9064) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9065)  all_54_14 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (9065) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9066)  all_52_11 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9066) implies:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9067)  all_52_11 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (9067) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9068)   ~ (all_52_9 = e2)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (9067) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9069)  op(e0, e1) = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9070)  all_54_6 = e3
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (9070) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9071)  all_52_9 = e3
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7502), (9071) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9072)  $false
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9072) is inconsistent.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9073)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9073) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9074)  all_54_6 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (9074) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9075)  all_52_9 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9068), (9075) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9076)  $false
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9076) is inconsistent.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9077)   ~ (all_54_6 = e2)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9078)  all_54_6 = e1 | all_54_6 = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9078) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9079)  all_54_6 = e1
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (9079) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9080)  all_52_9 = e1
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (9080) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9081)   ~ (all_52_1 = e1)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (9080) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9082)   ~ (all_52_13 = e1)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9082) implies:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9083)   ~ (all_52_13 = e1)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9084)  all_54_7 = e3
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (9084) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9085)  all_52_13 = e3
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7503), (9085) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9086)  $false
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9086) is inconsistent.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9087)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9087) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9088)  all_54_7 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (9088) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9089)  all_52_13 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9089) implies:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9090)  all_52_13 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (9090) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9091)   ~ (all_52_1 = e2)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9092)  all_54_4 = e3
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (9092) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9093)  all_52_1 = e3
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7498), (9093) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9094)  $false
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9094) is inconsistent.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9095)   ~ (all_54_4 = e3)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9096)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9096) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9097)  all_54_4 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (9097) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9098)  all_52_1 = e2
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9091), (9098) imply:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9099)  $false
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9099) is inconsistent.
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9100)  all_54_4 = e1 | all_54_4 = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9101)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9101) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9102)  all_56_2 = e0 & op(e2, e3) = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9102) implies:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9103)  op(e2, e3) = e0
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9104)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9104) gives:
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9105)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (284), (286), (7498), (8520),
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8876), (9044), (9081), (9100), (9105),
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #808.
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9106)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9106) gives:
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9107)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_17) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9107) implies:
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9108)   ~ (all_57_1 = e2)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9109)  op(e3, all_57_16) = all_57_1
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8905), (9032), (9108), (9109), (function-axioms)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #355.
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9110)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9110) implies:
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9111)  op(e2, e3) = e2
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9103), (9111), (function-axioms) are
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1412.
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9112)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9112) gives:
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9113)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9113) gives:
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9114)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_21) =
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9114) implies:
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9115)  op(e2, e1) = e2
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (276), (9051), (9068), (9078), (9115),
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1147.
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.38/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9116)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_20) =
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9116) implies:
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9117)  op(e0, e2) = e2
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (170), (9035), (9117),
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1342.
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9118)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (8876), (8974), (9026), (9069),
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9118), (function-axioms) are inconsistent by
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #235.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9119)  all_56_3 = e0 & op(e2, e2) = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9119) implies:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9120)  op(e2, e2) = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7509), (9120), (function-axioms) are
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9121)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (8978), (9051), (9121),
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1195.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9122)  all_54_7 = e1 | all_54_7 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (8978), (9083), (9122) are inconsistent by
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #945.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9123)  all_54_6 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (9123) imply:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9124)  all_52_9 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9051), (9124) imply:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9125)  $false
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9125) is inconsistent.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9126)  all_54_14 = e1 | all_54_14 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (9053), (9062), (9126) are inconsistent by
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1305.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9127)  all_54_13 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (8977), (9127) are inconsistent by
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1312.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9128)  all_54_1 = e1 | all_54_1 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8941), (8952), (8964), (9128) are inconsistent by
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #248.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9129)  all_56_13 = e0 & op(e0, e2) = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9129) implies:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9130)  op(e0, e2) = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8977), (9130), (function-axioms) are
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1463.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9131)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_18)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9131) implies:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9132)   ~ (all_57_18 = e3)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9133)  all_54_15 = e3
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (8967), (9133) are inconsistent by
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1608.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9134)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9135)  all_54_1 = e3
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8952), (8963), (9135) are inconsistent by
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #249.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9136)   ~ (all_54_1 = e3)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9137)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9137) gives:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9138)  all_54_1 = e2
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8952), (9138) imply:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9139)  all_10_1 = e2
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9139) implies:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9140)  all_10_1 = e2
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8958), (9140) imply:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9141)   ~ (all_52_6 = e2)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8962), (9140) imply:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9142)   ~ (all_52_8 = e2)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8963), (9140) imply:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9143)   ~ (e3 = e2)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8942), (9140) imply:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9144)  op(e3, e2) = e2
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9134) gives:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9145)  all_54_15 = e2
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (389), (9145) are inconsistent by sub-proof
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1607.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9146)   ~ (all_54_15 = e2)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9147)  all_54_15 = e1 | all_54_15 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9147) gives:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9148)  all_54_15 = e1
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (387), (9148) are inconsistent by sub-proof
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1606.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9149)  all_54_15 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (9149) imply:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9150)  all_6_2 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9150) implies:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9151)  all_6_2 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8529), (9151) imply:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9152)  all_57_31 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9153)  all_54_2 = e3
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (8520), (9153) are inconsistent by
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1335.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9154)   ~ (all_54_2 = e3)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9155)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9156)  all_54_9 = e3
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (7500), (9156) are inconsistent by
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9157)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9157) gives:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9158)  all_54_9 = e2
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (9141), (9158) are inconsistent by
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1323.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9159)   ~ (all_54_9 = e2)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9160)  all_54_9 = e1 | all_54_9 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9161)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (135), (158), (170), (8889), (9144), (9161),
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #236.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9162)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9162) gives:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9163)  all_56_14 = e2 & op(e0, e1) = e2
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9163) implies:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9164)  op(e0, e1) = e2
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9160) gives:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9165)  all_54_9 = e1
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (8953), (9165) are inconsistent by
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1322.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9166)  all_54_9 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (9166) imply:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9167)  all_52_6 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9167) implies:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9168)  all_52_6 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8953), (9168) imply:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9169)   ~ (e1 = e0)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (9168) imply:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9170)  op(e1, e2) = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9155) gives:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9171)  all_54_2 = e2
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9171) imply:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9172)  all_52_8 = e2
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9142), (9172) imply:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9173)  $false
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9173) is inconsistent.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9174)  all_54_2 = e1 | all_54_2 = e0
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9175)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9175) gives:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9176)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (168), (169), (170), (201), (285), (286),
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (8520), (8876), (8896), (9174), (9176),
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #234.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9177)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9177) gives:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9178)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_17) =
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9178) implies:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9179)  all_57_18 = e3
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9132), (9179) imply:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9180)  $false
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9180) is inconsistent.
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9181)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9181) implies:
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9182)   ~ (all_57_29 = e3)
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8946), (9182) imply:
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9183)  $false
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9183) is inconsistent.
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9184)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9184) gives:
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9185)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (162), (170), (9141), (9144),
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9185), (function-axioms) are inconsistent by
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #354.
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9186)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (169), (8876), (9152), (9164), (9170),
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9186), (function-axioms) are inconsistent by
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #235.
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9187)  all_56_15 = e2 & op(e0, e0) = e2
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9187) implies:
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9188)  op(e0, e0) = e2
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (389), (9188), (function-axioms) are
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9189)  all_54_1 = e1 | all_54_1 = e0
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8941), (8952), (8964), (9189) are inconsistent by
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #248.
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | | 
% 179.45/27.31  | | | | | | | | End of split
% 179.45/27.31  | | | | | | | | 
% 179.45/27.31  | | | | | | | Case 2:
% 179.45/27.31  | | | | | | | | 
% 179.45/27.31  | | | | | | | |   (9190)  all_14_2 = e2
% 179.45/27.31  | | | | | | | | 
% 179.45/27.31  | | | | | | | | COMBINE_EQS: (347), (9190) imply:
% 179.45/27.31  | | | | | | | |   (9191)  all_42_2 = e2
% 179.45/27.31  | | | | | | | | 
% 179.45/27.31  | | | | | | | | REDUCE: (374), (9190) imply:
% 179.45/27.31  | | | | | | | |   (9192)   ~ (all_52_6 = e2)
% 179.45/27.31  | | | | | | | | 
% 179.45/27.31  | | | | | | | | REDUCE: (376), (9190) imply:
% 179.45/27.31  | | | | | | | |   (9193)   ~ (all_52_8 = e2)
% 179.45/27.31  | | | | | | | | 
% 179.45/27.31  | | | | | | | | REDUCE: (377), (9190) imply:
% 179.45/27.31  | | | | | | | |   (9194)   ~ (all_52_9 = e2)
% 179.45/27.31  | | | | | | | | 
% 179.45/27.31  | | | | | | | | REDUCE: (379), (9190) imply:
% 179.45/27.31  | | | | | | | |   (9195)   ~ (all_52_11 = e2)
% 179.45/27.31  | | | | | | | | 
% 179.45/27.31  | | | | | | | | REDUCE: (381), (9190) imply:
% 179.45/27.31  | | | | | | | |   (9196)   ~ (all_52_14 = e2)
% 179.45/27.31  | | | | | | | | 
% 179.45/27.31  | | | | | | | | REDUCE: (51), (9190) imply:
% 179.45/27.31  | | | | | | | |   (9197)  op(e1, e1) = e2
% 179.45/27.31  | | | | | | | | 
% 179.45/27.31  | | | | | | | | BETA: splitting (94) gives:
% 179.45/27.31  | | | | | | | | 
% 179.45/27.31  | | | | | | | | Case 1:
% 179.45/27.31  | | | | | | | | | 
% 179.45/27.31  | | | | | | | | |   (9198)   ~ (all_42_2 = e2)
% 179.45/27.31  | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | REDUCE: (9191), (9198) imply:
% 179.45/27.31  | | | | | | | | |   (9199)  $false
% 179.45/27.31  | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | CLOSE: (9199) is inconsistent.
% 179.45/27.31  | | | | | | | | | 
% 179.45/27.31  | | | | | | | | Case 2:
% 179.45/27.31  | | | | | | | | | 
% 179.45/27.31  | | | | | | | | |   (9200)  ( ~ (all_42_0 = e3) & op(e2, e2) = all_42_0 &
% 179.45/27.31  | | | | | | | | |             $i(all_42_0)) | ( ~ (all_42_1 = e0) & op(e2, e1) =
% 179.45/27.31  | | | | | | | | |             all_42_1 & $i(all_42_1))
% 179.45/27.31  | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | BETA: splitting (238) gives:
% 179.45/27.31  | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | Case 1:
% 179.45/27.31  | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | |   (9201)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 179.45/27.31  | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 179.45/27.31  | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | REF_CLOSE: (7), (36), (386), (7509), (9201),
% 179.45/27.31  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.45/27.31  | | | | | | | | | |            #285.
% 179.45/27.31  | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | Case 2:
% 179.45/27.31  | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | |   (9202)  (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 179.45/27.31  | | | | | | | | | |             all_57_31 & $i(all_57_31))
% 179.45/27.31  | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | BETA: splitting (9202) gives:
% 179.45/27.31  | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | Case 1:
% 179.45/27.31  | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | |   (9203)  all_57_30 = e0 & op(e1, e1) = e0
% 179.45/27.31  | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | ALPHA: (9203) implies:
% 179.45/27.31  | | | | | | | | | | |   (9204)  op(e1, e1) = e0
% 179.45/27.31  | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | REF_CLOSE: (5), (9197), (9204), (function-axioms) are
% 179.45/27.31  | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 179.45/27.31  | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | Case 2:
% 179.45/27.31  | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | |   (9205)  op(e0, e0) = all_57_31 & $i(all_57_31)
% 179.45/27.31  | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | ALPHA: (9205) implies:
% 179.45/27.31  | | | | | | | | | | |   (9206)  op(e0, e0) = all_57_31
% 179.45/27.31  | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | BETA: splitting (9200) gives:
% 179.45/27.31  | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | Case 1:
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | |   (9207)   ~ (all_42_0 = e3) & op(e2, e2) = all_42_0 &
% 179.45/27.31  | | | | | | | | | | | |           $i(all_42_0)
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | REF_CLOSE: (7509), (9207), (function-axioms) are inconsistent
% 179.45/27.31  | | | | | | | | | | | |            by sub-proof #233.
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | Case 2:
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | |   (9208)   ~ (all_42_1 = e0) & op(e2, e1) = all_42_1 &
% 179.45/27.31  | | | | | | | | | | | |           $i(all_42_1)
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | ALPHA: (9208) implies:
% 179.45/27.31  | | | | | | | | | | | |   (9209)   ~ (all_42_1 = e0)
% 179.45/27.31  | | | | | | | | | | | |   (9210)  op(e2, e1) = all_42_1
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 179.45/27.31  | | | | | | | | | | | |              all_57_31, e0, e0, simplifying with (39), (9206)
% 179.45/27.31  | | | | | | | | | | | |              gives:
% 179.45/27.31  | | | | | | | | | | | |   (9211)  all_57_31 = all_6_2
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 179.45/27.31  | | | | | | | | | | | |              all_42_1, e1, e2, simplifying with (165), (9210)
% 179.45/27.31  | | | | | | | | | | | |              gives:
% 179.45/27.31  | | | | | | | | | | | |   (9212)  all_52_9 = all_42_1
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | COMBINE_EQS: (276), (9212) imply:
% 179.45/27.31  | | | | | | | | | | | |   (9213)  all_54_6 = all_42_1
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | REDUCE: (146), (9212) imply:
% 179.45/27.31  | | | | | | | | | | | |   (9214)   ~ (all_52_1 = all_42_1)
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | REDUCE: (123), (9212) imply:
% 179.45/27.31  | | | | | | | | | | | |   (9215)   ~ (all_52_8 = all_42_1)
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | REDUCE: (118), (9212) imply:
% 179.45/27.31  | | | | | | | | | | | |   (9216)   ~ (all_52_11 = all_42_1)
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | SIMP: (9216) implies:
% 179.45/27.31  | | | | | | | | | | | |   (9217)   ~ (all_52_11 = all_42_1)
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | REDUCE: (117), (9212) imply:
% 179.45/27.31  | | | | | | | | | | | |   (9218)   ~ (all_52_13 = all_42_1)
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | SIMP: (9218) implies:
% 179.45/27.31  | | | | | | | | | | | |   (9219)   ~ (all_52_13 = all_42_1)
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | REDUCE: (7502), (9212) imply:
% 179.45/27.31  | | | | | | | | | | | |   (9220)   ~ (all_42_1 = e3)
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | REDUCE: (9194), (9212) imply:
% 179.45/27.31  | | | | | | | | | | | |   (9221)   ~ (all_42_1 = e2)
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | BETA: splitting (198) gives:
% 179.45/27.31  | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | Case 1:
% 179.45/27.31  | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | |   (9222)  all_54_6 = e3
% 179.45/27.31  | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | COMBINE_EQS: (9213), (9222) imply:
% 179.45/27.31  | | | | | | | | | | | | |   (9223)  all_42_1 = e3
% 179.45/27.31  | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | SIMP: (9223) implies:
% 179.45/27.31  | | | | | | | | | | | | |   (9224)  all_42_1 = e3
% 179.45/27.31  | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | REDUCE: (9220), (9224) imply:
% 179.45/27.31  | | | | | | | | | | | | |   (9225)  $false
% 179.45/27.31  | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | CLOSE: (9225) is inconsistent.
% 179.45/27.31  | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | Case 2:
% 179.45/27.31  | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | |   (9226)   ~ (all_54_6 = e3)
% 179.45/27.31  | | | | | | | | | | | | |   (9227)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 179.45/27.31  | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | BETA: splitting (9227) gives:
% 179.45/27.31  | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | Case 1:
% 179.45/27.31  | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | |   (9228)  all_54_6 = e2
% 179.45/27.31  | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | COMBINE_EQS: (9213), (9228) imply:
% 179.45/27.31  | | | | | | | | | | | | | |   (9229)  all_42_1 = e2
% 179.45/27.31  | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | SIMP: (9229) implies:
% 179.45/27.31  | | | | | | | | | | | | | |   (9230)  all_42_1 = e2
% 179.45/27.31  | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | REDUCE: (9221), (9230) imply:
% 179.45/27.31  | | | | | | | | | | | | | |   (9231)  $false
% 179.45/27.31  | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | CLOSE: (9231) is inconsistent.
% 179.45/27.31  | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | Case 2:
% 179.45/27.31  | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | |   (9232)   ~ (all_54_6 = e2)
% 179.45/27.31  | | | | | | | | | | | | | |   (9233)  all_54_6 = e1 | all_54_6 = e0
% 179.45/27.31  | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | BETA: splitting (9233) gives:
% 179.45/27.31  | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | Case 1:
% 179.45/27.31  | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | |   (9234)  all_54_6 = e1
% 179.45/27.31  | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | COMBINE_EQS: (9213), (9234) imply:
% 179.45/27.31  | | | | | | | | | | | | | | |   (9235)  all_42_1 = e1
% 179.45/27.31  | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | SIMP: (9235) implies:
% 179.45/27.31  | | | | | | | | | | | | | | |   (9236)  all_42_1 = e1
% 179.45/27.31  | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | REDUCE: (9214), (9236) imply:
% 179.45/27.31  | | | | | | | | | | | | | | |   (9237)   ~ (all_52_1 = e1)
% 179.45/27.31  | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | REDUCE: (9215), (9236) imply:
% 179.45/27.31  | | | | | | | | | | | | | | |   (9238)   ~ (all_52_8 = e1)
% 179.45/27.31  | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | REDUCE: (9217), (9236) imply:
% 179.45/27.31  | | | | | | | | | | | | | | |   (9239)   ~ (all_52_11 = e1)
% 179.45/27.31  | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | REDUCE: (9219), (9236) imply:
% 179.45/27.31  | | | | | | | | | | | | | | |   (9240)   ~ (all_52_13 = e1)
% 179.45/27.31  | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | REDUCE: (9220), (9236) imply:
% 179.45/27.31  | | | | | | | | | | | | | | |   (9241)   ~ (e3 = e1)
% 179.45/27.31  | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | REDUCE: (9221), (9236) imply:
% 179.45/27.31  | | | | | | | | | | | | | | |   (9242)   ~ (e2 = e1)
% 179.45/27.31  | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 179.45/27.31  | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | Case 1:
% 179.45/27.31  | | | | | | | | | | | | | | | | 
% 179.45/27.31  | | | | | | | | | | | | | | | |   (9243)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 179.45/27.31  | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 179.45/27.31  | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (7509), (9237), (9243),
% 179.45/27.32  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.45/27.32  | | | | | | | | | | | | | | | |            #613.
% 179.45/27.32  | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32  | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | |   (9244)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 179.45/27.32  | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 179.45/27.32  | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | BETA: splitting (9244) gives:
% 179.45/27.32  | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32  | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | |   (9245)  all_56_5 = e1 & op(e2, e1) = e1
% 179.45/27.32  | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | ALPHA: (9245) implies:
% 179.45/27.32  | | | | | | | | | | | | | | | | |   (9246)  all_56_5 = e1
% 179.45/27.32  | | | | | | | | | | | | | | | | |   (9247)  op(e2, e1) = e1
% 179.45/27.32  | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 179.45/27.32  | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | |   (9248)   ~ (all_18_2 = e1)
% 179.45/27.32  | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | REDUCE: (342), (9248) imply:
% 179.45/27.32  | | | | | | | | | | | | | | | | | |   (9249)   ~ (all_4_2 = e1)
% 179.45/27.32  | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | |   (9250)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 179.45/27.32  | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (9249), (9250),
% 179.45/27.32  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.45/27.32  | | | | | | | | | | | | | | | | | | |            #253.
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | |   (9251)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 179.45/27.32  | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 179.45/27.32  | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & $i(all_57_17))
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | BETA: splitting (9251) gives:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | |   (9252)  all_57_30 = e1 & op(e1, e1) = e1
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | ALPHA: (9252) implies:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | |   (9253)  op(e1, e1) = e1
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9197), (9253), (function-axioms) are
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | |   (9254)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | |             (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | |             $i(all_57_17))
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | BETA: splitting (9254) gives:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | |   (9255)  all_57_31 = e1 & op(e0, e0) = e1
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | ALPHA: (9255) implies:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | |   (9256)  op(e0, e0) = e1
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9256), (function-axioms) are
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | |   (9257)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | |           $i(all_57_17)
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | ALPHA: (9257) implies:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | |   (9258)   ~ (all_57_17 = e3)
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | |   (9259)  op(e3, e1) = all_57_17
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | |   (9260)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (9249), (9260),
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | |            #253.
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | |   (9261)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = all_57_20 & $i(all_57_20))
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9261) gives:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | |   (9262)  all_57_30 = e1 & op(e1, e1) = e1
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9262) implies:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | |   (9263)  op(e1, e1) = e1
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9197), (9263), (function-axioms) are
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | |   (9264)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20))
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9264) gives:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | |   (9265)  all_57_31 = e1 & op(e0, e0) = e1
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9265) implies:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | |   (9266)  op(e0, e0) = e1
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9266), (function-axioms) are
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | |   (9267)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_20)
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9267) implies:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | |   (9268)  op(e2, e1) = all_57_20
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | |   (9269)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (9249), (9269),
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | |            #253.
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | |   (9270)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e1) = all_57_27 & $i(all_57_27))
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9270) gives:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9271)  all_57_30 = e1 & op(e1, e1) = e1
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9271) implies:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9272)  op(e1, e1) = e1
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9197), (9272), (function-axioms) are
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9273)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_27))
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9273) gives:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9274)  all_57_31 = e1 & op(e0, e0) = e1
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9274) implies:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9275)  op(e0, e0) = e1
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9275), (function-axioms) are
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9276)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_27)
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9276) implies:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9277)   ~ (all_57_27 = e0)
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9278)  op(e0, e1) = all_57_27
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9279)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e2) = e1)
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (36), (7509), (9249), (9279),
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #253.
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.45/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9280)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e1) = all_57_30 & $i(all_57_30))
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9280) gives:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9281)  all_57_30 = e1 & op(e1, e1) = e1
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9281) implies:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9282)  op(e1, e1) = e1
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9197), (9282), (function-axioms) are
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9283)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_30))
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9283) gives:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9284)  all_57_31 = e1 & op(e0, e0) = e1
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9284) implies:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9285)  op(e0, e0) = e1
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9285), (function-axioms) are
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9286)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9286) implies:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9287)   ~ (all_57_30 = e1)
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9288)  op(e1, e1) = all_57_30
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (157), (9278)
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9289)  all_57_27 = all_52_11
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30, e1, e1, simplifying with (9197), (9288)
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9290)  all_57_30 = e2
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (9247), (9268)
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9291)  all_57_20 = e1
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17, e1, e3, simplifying with (169), (9259)
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9292)  all_57_17 = all_52_8
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9258), (9292) imply:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9293)   ~ (all_52_8 = e3)
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9277), (9289) imply:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9294)   ~ (all_52_11 = e0)
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9295)  all_54_2 = e3
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9295) imply:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9296)  all_52_8 = e3
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9293), (9296) imply:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9297)  $false
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9297) is inconsistent.
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9298)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9299)  all_54_14 = e3
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (9299) imply:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9300)  all_52_11 = e3
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9300) implies:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9301)  all_52_11 = e3
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9289), (9301) imply:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9302)  all_57_27 = e3
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (9301) imply:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9303)   ~ (all_6_2 = e3)
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9303) implies:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9304)   ~ (all_6_2 = e3)
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9298) gives:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9305)  all_54_2 = e2
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9305) imply:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9306)  all_52_8 = e2
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9193), (9306) imply:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9307)  $false
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9307) is inconsistent.
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9308)   ~ (all_54_2 = e2)
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9309)  all_54_2 = e1 | all_54_2 = e0
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9309) gives:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9310)  all_54_2 = e1
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9310) imply:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9311)  all_52_8 = e1
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9238), (9311) imply:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9312)  $false
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9312) is inconsistent.
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9313)  all_54_2 = e0
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9313) imply:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9314)  all_52_8 = e0
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9293), (9314) imply:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9315)   ~ (e3 = e0)
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9193), (9314) imply:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9316)   ~ (e2 = e0)
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9238), (9314) imply:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9317)   ~ (e1 = e0)
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (9314) imply:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9318)  op(e3, e1) = e0
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.52/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9319)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9319) gives:
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9320)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (286), (7498), (9238), (9293),
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9309), (9320), (function-axioms) are inconsistent
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #232.
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9321)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9321) gives:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9322)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_17) =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9322) implies:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9323)  op(e0, e3) = e3
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9324)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e0)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9324) gives:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9325)  all_56_4 = e0 & op(e3, e1) = e0
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9325) implies:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9326)  all_56_4 = e0
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9327)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9327) gives:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9328)  all_56_12 = e1 & op(e0, e3) = e1
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9328) implies:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9329)  op(e0, e3) = e1
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (9323), (9329), (function-axioms) are
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1529.
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9330)  all_56_13 = e1 & op(e0, e2) = e1
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9330) implies:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9331)  op(e0, e2) = e1
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9332)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9332) gives:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9333)  all_56_1 = e2 & op(e3, e2) = e2
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9333) implies:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9334)  op(e3, e2) = e2
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9335)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (135), (158), (170), (9323), (9334), (9335),
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #236.
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9336)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (217),
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (220), (389), (9197), (9246), (9336),
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #231.
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9337)  all_56_3 = e2 & op(e2, e2) = e2
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9337) implies:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9338)  op(e2, e2) = e2
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (9338), (function-axioms) are
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9339)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (162), (9192), (9331), (9339),
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #230.
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9340)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9340) gives:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9341)  all_56_14 = e1 & op(e0, e1) = e1
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9341) implies:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9342)  all_56_14 = e1
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (9197), (9247), (9326),
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9342), (function-axioms) are inconsistent by
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #906.
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9343)  all_56_15 = e1 & op(e0, e0) = e1
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9343) implies:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9344)  op(e0, e0) = e1
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9344), (function-axioms) are
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9345)  all_56_5 = e0 & op(e2, e1) = e0
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9345) implies:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9346)  all_56_5 = e0
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9246), (9346) are inconsistent by sub-proof
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #981.
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9347)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9347) gives:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9348)  all_56_8 = e0 & op(e1, e1) = e0
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9348) implies:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9349)  op(e1, e1) = e0
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9197), (9349), (function-axioms) are
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9350)  all_56_14 = e0 & op(e0, e1) = e0
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9350) implies:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9351)  all_56_14 = e0
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (220), (9197), (9247),
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9318), (9351), (function-axioms) are inconsistent
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #229.
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9352)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9352) implies:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9353)   ~ (all_57_6 = e1)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9354)  op(e2, all_57_20) = all_57_6
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9268), (9291), (9353), (9354), (function-axioms)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #340.
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9355)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9355) gives:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9356)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9356) gives:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9357)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_21) =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9357) implies:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9358)  op(e2, e1) = e2
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9194), (9268), (9358), (function-axioms)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1327.
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9359)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_20) =
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9359) implies:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9360)   ~ (all_57_6 = e1)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9361)  op(e2, all_57_20) = all_57_6
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9268), (9291), (9360), (9361), (function-axioms)
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #340.
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9362)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9362) gives:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9363)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9363) implies:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9364)  op(e3, e1) = e1
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9318), (9364), (function-axioms) are
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1571.
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9365)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9365) gives:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9366)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9366) implies:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9367)   ~ (all_57_30 = e2)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9197), (9288), (9367), (function-axioms) are
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #661.
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9368)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9368) implies:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9369)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9369) gives:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9370)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22) = all_57_8 & op(e1, all_57_23) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9302), (9370) are inconsistent by sub-proof
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1239.
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9371)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25) = all_57_12 & op(e0, all_57_26) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & all_57_25 = e0 & op(e3, e0) = e0) |
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0))
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9371) implies:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9372)   ~ (all_57_15 = e0)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9373)  op(e0, all_57_31) = all_57_15
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9211), (9373) imply:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9374)  op(e0, all_6_2) = all_57_15
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (189), (261), (387), (389), (9304), (9372),
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9374), (function-axioms) are inconsistent by
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1604.
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9375)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (9195), (9239), (9294), (9375) are
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1233.
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.34  | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | |   (9376)  all_18_2 = e1
% 179.53/27.34  | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (342), (9376) imply:
% 179.53/27.34  | | | | | | | | | | | | | | | | | |   (9377)  all_4_2 = e1
% 179.53/27.34  | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | SIMP: (9377) implies:
% 179.53/27.34  | | | | | | | | | | | | | | | | | |   (9378)  all_4_2 = e1
% 179.53/27.34  | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (346), (9378) imply:
% 179.53/27.34  | | | | | | | | | | | | | | | | | |   (9379)  all_40_2 = e1
% 179.53/27.34  | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | REDUCE: (36), (9378) imply:
% 179.53/27.34  | | | | | | | | | | | | | | | | | |   (9380)  op(e3, e3) = e1
% 179.53/27.34  | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | |   (9381)   ~ (all_40_2 = e1)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | REDUCE: (9379), (9381) imply:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | |   (9382)  $false
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | CLOSE: (9382) is inconsistent.
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | |   (9383)  ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | |             $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | |             = all_40_1 & $i(all_40_1))
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | BETA: splitting (9383) gives:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | |   (9384)   ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | |           $i(all_40_0)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9197), (9384), (function-axioms) are inconsistent
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | |            by sub-proof #701.
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | |   (9385)   ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | |           $i(all_40_1)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | ALPHA: (9385) implies:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | |   (9386)   ~ (all_40_1 = e0)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | |   (9387)  op(e1, e3) = all_40_1
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | |   (9388)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (169),
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | |            (230), (234), (236), (386), (9240), (9380),
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | |            (9388), (function-axioms) are inconsistent by
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1024.
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | |   (9389)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9389) gives:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | |   (9390)  all_56_11 = e1 & op(e1, e0) = e1
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9390) implies:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | |   (9391)  all_56_11 = e1
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | |   (9392)  op(e1, e0) = e1
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | |   (9393)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9393) gives:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | |   (9394)  all_56_6 = e3 & op(e1, e3) = e3
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9394) implies:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | |   (9395)  all_56_6 = e3
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | |   (9396)  op(e1, e3) = e3
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | |   (9397)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9397) gives:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9398)  all_56_12 = e1 & op(e0, e3) = e1
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (91), (159),
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (229), (233), (235), (386), (9197), (9379),
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | |            (9380), (9398), (function-axioms) are inconsistent
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #654.
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9399)  all_56_13 = e1 & op(e0, e2) = e1
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9399) implies:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9400)  all_56_13 = e1
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9401)  op(e0, e2) = e1
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9402)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9402) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9403)  all_56_6 = e0 & op(e1, e3) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9403) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9404)  op(e1, e3) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9386), (9387), (9404), (function-axioms)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #698.
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9405)  all_56_7 = e0 & op(e1, e2) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9405) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9406)  op(e1, e2) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9407)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9407) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9408)  all_56_12 = e2 & op(e0, e3) = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9408) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9409)  all_56_12 = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9410)  op(e0, e3) = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9411)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9411) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9412)  all_56_0 = e0 & op(e3, e3) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9412) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9413)  op(e3, e3) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (9413), (function-axioms) are
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9414)  all_56_2 = e0 & op(e2, e3) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9414) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9415)  all_56_2 = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9416)  op(e2, e3) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9417)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9417) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9418)  all_56_1 = e2 & op(e3, e2) = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9418) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9419)  all_56_1 = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9420)  op(e3, e2) = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9421)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9421) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9422)  all_56_2 = e2 & op(e2, e3) = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (163), (229), (386), (9386), (9387),
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9409), (9422), (function-axioms) are inconsistent
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #691.
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9423)  all_56_3 = e2 & op(e2, e2) = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9423) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9424)  op(e2, e2) = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (9424), (function-axioms) are
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9425)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9425) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9426)  all_56_5 = e2 & op(e2, e1) = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9426) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9427)  op(e2, e1) = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9247), (9427), (function-axioms) are
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1148.
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9428)  all_56_10 = e2 & op(e2, e0) = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9428) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9429)  all_56_10 = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9430)  op(e2, e0) = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7497) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9431)   ~ (all_10_0 = e1) & op(e3, e3) = all_10_0 &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_10_0)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9380), (9431), (function-axioms) are inconsistent
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #251.
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9432)   ~ (all_10_1 = e0) & op(e3, e2) = all_10_1 &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_10_1)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9432) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9433)   ~ (all_10_1 = e0)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9434)  op(e3, e2) = all_10_1
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (9401) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9435)  all_52_7 = e1
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (9410) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9436)  all_52_3 = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e1, simplifying with (160), (9392) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9437)  all_52_14 = e1
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (9406) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9438)  all_52_6 = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (9396) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9439)  all_52_2 = e3
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_40_1, e3, e1, simplifying with (163), (9387)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9440)  all_52_2 = all_40_1
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e2, simplifying with (164), (9430) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9441)  all_52_13 = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (9416) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9442)  all_52_1 = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (9420) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9443)  all_52_4 = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_10_1, e2, e3, simplifying with (170), (9434)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9444)  all_52_4 = all_10_1
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9439), (9440) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9445)  all_40_1 = e3
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9445) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9446)  all_40_1 = e3
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9443), (9444) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9447)  all_10_1 = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9447) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9448)  all_10_1 = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (9443) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9449)   ~ (all_52_8 = e2)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9441) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9450)   ~ (all_52_12 = e2)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (9437) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9451)   ~ (all_52_12 = e1)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (9441) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9452)   ~ (all_6_2 = e2)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7503), (9441) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9453)   ~ (e3 = e2)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (9437) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9454)   ~ (all_6_2 = e1)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9455)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9455) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9456)  all_57_28 = e0 & op(e3, e3) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9456) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9457)  op(e3, e3) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (9457), (function-axioms) are
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9458)  all_57_29 = e0 & op(e2, e2) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9458) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9459)  op(e2, e2) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (9247), (9415), (9429),
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9459), (function-axioms) are inconsistent by
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #604.
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9460)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_21 & $i(all_57_21))
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9460) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9461)  all_57_30 = e0 & op(e1, e1) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9461) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9462)  op(e1, e1) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (162), (215), (9192), (9391),
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9395), (9462), (function-axioms) are inconsistent
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1228.
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9463)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_21))
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9463) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9464)  all_57_31 = e0 & op(e0, e0) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9464) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9465)  all_57_31 = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9211), (9465) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9466)  all_6_2 = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (9466) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9467)   ~ (all_52_12 = e0)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (9466) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9468)   ~ (e2 = e0)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (9466) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9469)   ~ (e1 = e0)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (9466) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9470)  op(e0, e0) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9471)  all_54_3 = e3
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (9471) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9472)  all_52_12 = e3
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (9472) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9473)   ~ (all_52_8 = e3)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (9472) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9474)  op(e3, e0) = e3
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9475)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9475) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9476)  all_56_12 = e3 & op(e0, e3) = e3
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9476) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9477)  op(e0, e3) = e3
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9410), (9477), (function-axioms) are
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1039.
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9478)  all_56_13 = e3 & op(e0, e2) = e3
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9400), (9478) are inconsistent by sub-proof
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1066.
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9479)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9479) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9480)  all_56_14 = e3 & op(e0, e1) = e3
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9480) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9481)  all_56_14 = e3
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9482)  all_54_2 = e3
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9482) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9483)  all_52_8 = e3
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9473), (9483) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9484)  $false
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9484) is inconsistent.
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9485)   ~ (all_54_2 = e3)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9486)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9487)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9487) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9488)  all_56_0 = e0 & op(e3, e3) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9488) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9489)  op(e3, e3) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (9489), (function-axioms) are
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9490)  all_56_1 = e0 & op(e3, e2) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9490) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9491)  all_56_1 = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9419), (9491) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9492)  e2 = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9409), (9492) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9493)  all_56_12 = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (208), (389), (9400), (9481),
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9493), (function-axioms) are inconsistent by
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1509.
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9494)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9494) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9495)  all_56_4 = e0 & op(e3, e1) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9495) implies:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9496)  op(e3, e1) = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9486) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9497)  all_54_2 = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (9497) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9498)  all_52_8 = e2
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9193), (9498) imply:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9499)  $false
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9499) is inconsistent.
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9500)  all_54_2 = e1 | all_54_2 = e0
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9501)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9501) gives:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9502)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9502) gives:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9503)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17) = all_57_2 & op(e3, all_57_18) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9503) implies:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9504)  op(e2, e3) = e3
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9416), (9504), (function-axioms) are
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1596.
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9505)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_18) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_28)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9505) implies:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9506)  op(e3, e1) = e3
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (286), (9238), (9473), (9500), (9506),
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1478.
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9507)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (9410), (9416), (9507),
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1029.
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9508)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9508) gives:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9509)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9509) gives:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9510)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_21) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9510) implies:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9511)  op(e2, e1) = e2
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9247), (9511), (function-axioms) are
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1148.
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9512)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_20) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9512) implies:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9513)  op(e0, e2) = e2
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (170), (9420), (9513),
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1342.
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9514)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9514) gives:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9515)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9515) implies:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9516)  op(e3, e1) = e1
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9496), (9516), (function-axioms) are
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1571.
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9517)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9517) gives:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9518)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9518) implies:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9519)  op(e1, e2) = e1
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9406), (9519), (function-axioms) are
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #863.
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9520)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9520) implies:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9521)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9521) gives:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9522)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22) = all_57_8 & op(e1, all_57_23) =
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9522) implies:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9523)   ~ (all_57_8 = e3)
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9524)  op(e1, e3) = all_57_22
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9525)  op(e1, all_57_22) = all_57_8
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9396), (9523), (9524), (9525), (function-axioms)
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1026.
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9526)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25) = all_57_12 & op(e0, all_57_26) =
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & all_57_25 = e0 & op(e3, e0) = e0) |
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0))
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9465), (9526), (function-axioms) are inconsistent
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1584.
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9527)  all_56_9 = e0 & op(e3, e0) = e0
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9527) implies:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9528)  op(e3, e0) = e0
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9474), (9528), (function-axioms) are
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1189.
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9529)  all_56_15 = e3 & op(e0, e0) = e3
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9529) implies:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9530)  op(e0, e0) = e3
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9470), (9530), (function-axioms) are
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9531)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (9450), (9451), (9467), (9531) are
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9532)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_21)
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9532) implies:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9533)   ~ (all_57_21 = e2)
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9534)  op(e2, e0) = all_57_21
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9430), (9533), (9534), (function-axioms) are
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1388.
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9535)  all_56_3 = e2 & op(e2, e2) = e2
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9535) implies:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9536)  op(e2, e2) = e2
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7509), (9536), (function-axioms) are
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9537)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9537) gives:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9538)  all_56_7 = e2 & op(e1, e2) = e2
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9538) implies:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9539)  op(e1, e2) = e2
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9192), (9539), (function-axioms) are
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9540)  all_56_13 = e2 & op(e0, e2) = e2
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9540) implies:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9541)  all_56_13 = e2
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (207),
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (387), (9409), (9541), (function-axioms)
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1119.
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9542)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (9386), (9387), (9409), (9542),
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #694.
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9543)  all_56_13 = e2 & op(e0, e2) = e2
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9543) implies:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9544)  op(e0, e2) = e2
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9401), (9544), (function-axioms) are
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #279.
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9545)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (217),
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (220), (389), (9197), (9246), (9545),
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #231.
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9546)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (162), (215), (9192), (9391),
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9395), (9546), (function-axioms) are inconsistent
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #961.
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (9547)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (387), (9239), (9547),
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | |            #1515.
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | |   (9548)  all_56_7 = e3 & op(e1, e2) = e3
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7500), (9548), (function-axioms) are
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #990.
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | |   (9549)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (9197), (9391), (9549),
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | |            #966.
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | |   (9550)  all_56_15 = e1 & op(e0, e0) = e1
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9550) implies:
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | |   (9551)  op(e0, e0) = e1
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9551), (function-axioms) are
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | |   (9552)  all_56_10 = e1 & op(e2, e0) = e1
% 179.53/27.37  | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | ALPHA: (9552) implies:
% 179.53/27.37  | | | | | | | | | | | | | | | | |   (9553)  op(e2, e0) = e1
% 179.53/27.37  | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9240), (9553), (function-axioms) are
% 179.53/27.37  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1273.
% 179.53/27.37  | | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | |   (9554)  all_54_6 = e0
% 179.53/27.37  | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | COMBINE_EQS: (9213), (9554) imply:
% 179.53/27.37  | | | | | | | | | | | | | | |   (9555)  all_42_1 = e0
% 179.53/27.37  | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | SIMP: (9555) implies:
% 179.53/27.37  | | | | | | | | | | | | | | |   (9556)  all_42_1 = e0
% 179.53/27.37  | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | REDUCE: (9209), (9556) imply:
% 179.53/27.37  | | | | | | | | | | | | | | |   (9557)  $false
% 179.53/27.37  | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | | CLOSE: (9557) is inconsistent.
% 179.53/27.37  | | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | | 
% 179.53/27.37  | | | | | | | | End of split
% 179.53/27.37  | | | | | | | | 
% 179.53/27.37  | | | | | | | End of split
% 179.53/27.37  | | | | | | | 
% 179.53/27.37  | | | | | | End of split
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | Case 2:
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | |   (9558)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 179.53/27.37  | | | | | |             op(e2, e0) = e3)
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | | BETA: splitting (9558) gives:
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | | Case 1:
% 179.53/27.37  | | | | | | | 
% 179.53/27.37  | | | | | | |   (9559)  all_56_5 = e3 & op(e2, e1) = e3
% 179.53/27.37  | | | | | | | 
% 179.53/27.37  | | | | | | | ALPHA: (9559) implies:
% 179.53/27.37  | | | | | | |   (9560)  op(e2, e1) = e3
% 179.53/27.37  | | | | | | | 
% 179.53/27.37  | | | | | | | REF_CLOSE: (165), (7502), (9560), (function-axioms) are
% 179.53/27.37  | | | | | | |            inconsistent by sub-proof #1449.
% 179.53/27.37  | | | | | | | 
% 179.53/27.37  | | | | | | Case 2:
% 179.53/27.37  | | | | | | | 
% 179.53/27.37  | | | | | | |   (9561)  all_56_10 = e3 & op(e2, e0) = e3
% 179.53/27.37  | | | | | | | 
% 179.53/27.37  | | | | | | | ALPHA: (9561) implies:
% 179.53/27.37  | | | | | | |   (9562)  op(e2, e0) = e3
% 179.53/27.37  | | | | | | | 
% 179.53/27.37  | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13, e3,
% 179.53/27.37  | | | | | | |              e0, e2, simplifying with (164), (9562) gives:
% 179.53/27.37  | | | | | | |   (9563)  all_52_13 = e3
% 179.53/27.37  | | | | | | | 
% 179.53/27.37  | | | | | | | REDUCE: (7503), (9563) imply:
% 179.53/27.37  | | | | | | |   (9564)  $false
% 179.53/27.37  | | | | | | | 
% 179.53/27.37  | | | | | | | CLOSE: (9564) is inconsistent.
% 179.53/27.37  | | | | | | | 
% 179.53/27.37  | | | | | | End of split
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | End of split
% 179.53/27.37  | | | | | 
% 179.53/27.37  | | | | End of split
% 179.53/27.37  | | | | 
% 179.53/27.37  | | | Case 2:
% 179.53/27.37  | | | | 
% 179.53/27.37  | | | |   (9565)  all_8_2 = e2
% 179.53/27.37  | | | |   (9566)  ( ~ (all_8_0 = e3) & op(e2, e2) = all_8_0 & $i(all_8_0)) | ( ~
% 179.53/27.37  | | | |             (all_8_1 = e1) & op(e2, e0) = all_8_1 & $i(all_8_1))
% 179.53/27.37  | | | | 
% 179.53/27.37  | | | | COMBINE_EQS: (340), (9565) imply:
% 179.53/27.37  | | | |   (9567)  all_6_2 = e2
% 179.53/27.37  | | | | 
% 179.53/27.37  | | | | SIMP: (9567) implies:
% 179.53/27.37  | | | |   (9568)  all_6_2 = e2
% 179.53/27.37  | | | | 
% 179.53/27.37  | | | | COMBINE_EQS: (325), (9568) imply:
% 179.53/27.37  | | | |   (9569)  all_22_2 = e2
% 179.53/27.37  | | | | 
% 179.53/27.37  | | | | REDUCE: (364), (9568) imply:
% 179.53/27.37  | | | |   (9570)   ~ (all_52_3 = e2)
% 179.53/27.37  | | | | 
% 179.53/27.37  | | | | REDUCE: (375), (9568) imply:
% 179.53/27.37  | | | |   (9571)   ~ (all_52_7 = e2)
% 179.53/27.37  | | | | 
% 179.53/27.37  | | | | REDUCE: (382), (9568) imply:
% 179.53/27.37  | | | |   (9572)   ~ (all_52_11 = e2)
% 179.53/27.37  | | | | 
% 179.53/27.37  | | | | REDUCE: (383), (9568) imply:
% 179.53/27.37  | | | |   (9573)   ~ (all_52_12 = e2)
% 179.53/27.37  | | | | 
% 179.53/27.37  | | | | REDUCE: (384), (9568) imply:
% 179.53/27.37  | | | |   (9574)   ~ (all_52_13 = e2)
% 179.53/27.37  | | | | 
% 179.53/27.37  | | | | REDUCE: (385), (9568) imply:
% 179.53/27.37  | | | |   (9575)   ~ (all_52_14 = e2)
% 179.53/27.37  | | | | 
% 179.53/27.37  | | | | BETA: splitting (211) gives:
% 179.53/27.37  | | | | 
% 179.53/27.37  | | | | Case 1:
% 179.53/27.37  | | | | | 
% 179.53/27.37  | | | | |   (9576)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2,
% 179.53/27.37  | | | | |               e0) = e2)
% 179.53/27.37  | | | | | 
% 179.53/27.37  | | | | | BETA: splitting (9576) gives:
% 179.53/27.37  | | | | | 
% 179.53/27.37  | | | | | Case 1:
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | |   (9577)  all_56_9 = e2 & op(e3, e0) = e2
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | | ALPHA: (9577) implies:
% 179.53/27.37  | | | | | |   (9578)  op(e3, e0) = e2
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12, e2, e0,
% 179.53/27.37  | | | | | |              e3, simplifying with (168), (9578) gives:
% 179.53/27.37  | | | | | |   (9579)  all_52_12 = e2
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | | REDUCE: (9573), (9579) imply:
% 179.53/27.37  | | | | | |   (9580)  $false
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | | CLOSE: (9580) is inconsistent.
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | Case 2:
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | |   (9581)  all_56_10 = e2 & op(e2, e0) = e2
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | | ALPHA: (9581) implies:
% 179.53/27.37  | | | | | |   (9582)  op(e2, e0) = e2
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | | REF_CLOSE: (164), (9574), (9582), (function-axioms) are inconsistent
% 179.53/27.37  | | | | | |            by sub-proof #1562.
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | End of split
% 179.53/27.37  | | | | | 
% 179.53/27.37  | | | | Case 2:
% 179.53/27.37  | | | | | 
% 179.53/27.37  | | | | |   (9583)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 &
% 179.53/27.37  | | | | |             op(e0, e0) = e2)
% 179.53/27.37  | | | | | 
% 179.53/27.37  | | | | | BETA: splitting (9583) gives:
% 179.53/27.37  | | | | | 
% 179.53/27.37  | | | | | Case 1:
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | |   (9584)  all_56_11 = e2 & op(e1, e0) = e2
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | | ALPHA: (9584) implies:
% 179.53/27.37  | | | | | |   (9585)  op(e1, e0) = e2
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14, e2, e0,
% 179.53/27.37  | | | | | |              e1, simplifying with (160), (9585) gives:
% 179.53/27.37  | | | | | |   (9586)  all_52_14 = e2
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | | REDUCE: (9575), (9586) imply:
% 179.53/27.37  | | | | | |   (9587)  $false
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | | CLOSE: (9587) is inconsistent.
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | Case 2:
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | |   (9588)  all_56_15 = e2 & op(e0, e0) = e2
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | | ALPHA: (9588) implies:
% 179.53/27.37  | | | | | |   (9589)  all_56_15 = e2
% 179.53/27.37  | | | | | |   (9590)  op(e0, e0) = e2
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | | BETA: splitting (46) gives:
% 179.53/27.37  | | | | | | 
% 179.53/27.37  | | | | | | Case 1:
% 179.53/27.37  | | | | | | | 
% 179.53/27.37  | | | | | | |   (9591)   ~ (all_10_2 = e3)
% 179.53/27.37  | | | | | | | 
% 179.53/27.37  | | | | | | | BETA: splitting (49) gives:
% 179.53/27.37  | | | | | | | 
% 179.53/27.37  | | | | | | | Case 1:
% 179.53/27.37  | | | | | | | | 
% 179.53/27.37  | | | | | | | |   (9592)   ~ (all_12_2 = e0)
% 179.53/27.37  | | | | | | | | 
% 179.53/27.37  | | | | | | | | REDUCE: (335), (9592) imply:
% 179.53/27.37  | | | | | | | |   (9593)   ~ (all_10_2 = e0)
% 179.53/27.37  | | | | | | | | 
% 179.53/27.37  | | | | | | | | BETA: splitting (52) gives:
% 179.53/27.37  | | | | | | | | 
% 179.53/27.37  | | | | | | | | Case 1:
% 179.53/27.37  | | | | | | | | | 
% 179.53/27.37  | | | | | | | | |   (9594)   ~ (all_14_2 = e2)
% 179.53/27.37  | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | BETA: splitting (55) gives:
% 179.53/27.37  | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | Case 1:
% 179.53/27.37  | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | |   (9595)   ~ (all_16_2 = e3)
% 179.53/27.37  | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | REDUCE: (338), (9595) imply:
% 179.53/27.37  | | | | | | | | | |   (9596)   ~ (all_14_2 = e3)
% 179.53/27.37  | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | BETA: splitting (58) gives:
% 179.53/27.37  | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | Case 1:
% 179.53/27.37  | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | |   (9597)   ~ (all_18_2 = e1)
% 179.53/27.37  | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | REDUCE: (342), (9597) imply:
% 179.53/27.37  | | | | | | | | | | |   (9598)   ~ (all_4_2 = e1)
% 179.53/27.37  | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | BETA: splitting (64) gives:
% 179.53/27.37  | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | Case 1:
% 179.53/27.37  | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | |   (9599)   ~ (all_22_2 = e2)
% 179.53/27.37  | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | REDUCE: (9569), (9599) imply:
% 179.53/27.37  | | | | | | | | | | | |   (9600)  $false
% 179.53/27.37  | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | | CLOSE: (9600) is inconsistent.
% 179.53/27.37  | | | | | | | | | | | | 
% 179.53/27.37  | | | | | | | | | | | Case 2:
% 179.53/27.37  | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | |   (9601)  ( ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 179.53/27.38  | | | | | | | | | | | |             $i(all_22_0)) | ( ~ (all_22_1 = e3) & op(e2, e0)
% 179.53/27.38  | | | | | | | | | | | |             = all_22_1 & $i(all_22_1))
% 179.53/27.38  | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | BETA: splitting (70) gives:
% 179.53/27.38  | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | |   (9602)   ~ (all_26_2 = e0)
% 179.53/27.38  | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | REDUCE: (318), (9602) imply:
% 179.53/27.38  | | | | | | | | | | | | |   (9603)   ~ (all_14_2 = e0)
% 179.53/27.38  | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | BETA: splitting (194) gives:
% 179.53/27.38  | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | |   (9604)  all_54_10 = e3
% 179.53/27.38  | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | REF_CLOSE: (349), (9596), (9604) are inconsistent by
% 179.53/27.38  | | | | | | | | | | | | | |            sub-proof #1621.
% 179.53/27.38  | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | Case 2:
% 179.53/27.38  | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | |   (9605)   ~ (all_54_10 = e3)
% 179.53/27.38  | | | | | | | | | | | | | |   (9606)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 179.53/27.38  | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | BETA: splitting (9606) gives:
% 179.53/27.38  | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | |   (9607)  all_54_10 = e2
% 179.53/27.38  | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | REF_CLOSE: (349), (9594), (9607) are inconsistent by
% 179.53/27.38  | | | | | | | | | | | | | | |            sub-proof #1620.
% 179.53/27.38  | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | Case 2:
% 179.53/27.38  | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | |   (9608)   ~ (all_54_10 = e2)
% 179.53/27.38  | | | | | | | | | | | | | | |   (9609)  all_54_10 = e1 | all_54_10 = e0
% 179.53/27.38  | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | BETA: splitting (9609) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | |   (9610)  all_54_10 = e1
% 179.53/27.38  | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (9610) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | |   (9611)  all_14_2 = e1
% 179.53/27.38  | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | SIMP: (9611) implies:
% 179.53/27.38  | | | | | | | | | | | | | | | |   (9612)  all_14_2 = e1
% 179.53/27.38  | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | REDUCE: (363), (9612) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | |   (9613)   ~ (all_52_2 = e1)
% 179.53/27.38  | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | REDUCE: (374), (9612) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | |   (9614)   ~ (all_52_6 = e1)
% 179.53/27.38  | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | REDUCE: (376), (9612) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | |   (9615)   ~ (all_52_8 = e1)
% 179.53/27.38  | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | REDUCE: (377), (9612) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | |   (9616)   ~ (all_52_9 = e1)
% 179.53/27.38  | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | REDUCE: (379), (9612) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | |   (9617)   ~ (all_52_11 = e1)
% 179.53/27.38  | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | REDUCE: (9596), (9612) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | |   (9618)   ~ (e3 = e1)
% 179.53/27.38  | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | REDUCE: (51), (9612) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | |   (9619)  op(e1, e1) = e1
% 179.53/27.38  | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | |   (9620)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 179.53/27.38  | | | | | | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 179.53/27.38  | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (9620),
% 179.53/27.38  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.53/27.38  | | | | | | | | | | | | | | | | |            #1622.
% 179.53/27.38  | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38  | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | |   (9621)  (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 179.53/27.38  | | | | | | | | | | | | | | | | |             all_57_31 & $i(all_57_31))
% 179.53/27.38  | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | BETA: splitting (9621) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | |   (9622)  all_57_30 = e0 & op(e1, e1) = e0
% 179.53/27.38  | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | ALPHA: (9622) implies:
% 179.53/27.38  | | | | | | | | | | | | | | | | | |   (9623)  op(e1, e1) = e0
% 179.53/27.38  | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9619), (9623), (function-axioms) are
% 179.53/27.38  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 179.53/27.38  | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | |   (9624)  op(e0, e0) = all_57_31 & $i(all_57_31)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | ALPHA: (9624) implies:
% 179.53/27.38  | | | | | | | | | | | | | | | | | |   (9625)  op(e0, e0) = all_57_31
% 179.53/27.38  | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | |   (9626)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 179.53/27.38  | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (9626),
% 179.53/27.38  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.53/27.38  | | | | | | | | | | | | | | | | | | |            #1622.
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | |   (9627)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 179.53/27.38  | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & $i(all_57_18))
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | BETA: splitting (9627) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | |   (9628)  all_57_30 = e0 & op(e1, e1) = e0
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | ALPHA: (9628) implies:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | |   (9629)  op(e1, e1) = e0
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9619), (9629), (function-axioms) are
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | |   (9630)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | |             (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | |             $i(all_57_18))
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | BETA: splitting (9630) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | |   (9631)  all_57_31 = e0 & op(e0, e0) = e0
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | ALPHA: (9631) implies:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | |   (9632)  op(e0, e0) = e0
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (9632), (function-axioms) are
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | |   (9633)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | |           $i(all_57_18)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | ALPHA: (9633) implies:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | |   (9634)   ~ (all_57_18 = e3)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | |   (9635)  op(e3, e0) = all_57_18
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | |   (9636)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (9636),
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | |            #1622.
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | |   (9637)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | |             op(e2, e0) = all_57_21 & $i(all_57_21))
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9637) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | |   (9638)  all_57_30 = e0 & op(e1, e1) = e0
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9638) implies:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | |   (9639)  op(e1, e1) = e0
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9619), (9639), (function-axioms) are
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | |   (9640)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_21))
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9640) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | |   (9641)  all_57_31 = e0 & op(e0, e0) = e0
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9641) implies:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | |   (9642)  op(e0, e0) = e0
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (9642), (function-axioms) are
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | |   (9643)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_21)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9643) implies:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | |   (9644)   ~ (all_57_21 = e2)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | |   (9645)  op(e2, e0) = all_57_21
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | |   (9646)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e2) = e0)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (9646),
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | |            #1622.
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | |   (9647)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = all_57_24 & $i(all_57_24))
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9647) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9648)  all_57_30 = e0 & op(e1, e1) = e0
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9648) implies:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9649)  op(e1, e1) = e0
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9619), (9649), (function-axioms) are
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | |   (9650)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24))
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9650) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9651)  all_57_31 = e0 & op(e0, e0) = e0
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9651) implies:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9652)  op(e0, e0) = e0
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (9652), (function-axioms) are
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9653)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_24)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9653) implies:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9654)   ~ (all_57_24 = e1)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9655)  op(e1, e0) = all_57_24
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31, e0, e0, simplifying with (9590), (9625)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9656)  all_57_31 = e2
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24, e0, e1, simplifying with (160), (9655)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9657)  all_57_24 = all_52_14
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21, e0, e2, simplifying with (164), (9645)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9658)  all_57_21 = all_52_13
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_18, e0, e3, simplifying with (168), (9635)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9659)  all_57_18 = all_52_12
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9634), (9659) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9660)   ~ (all_52_12 = e3)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9654), (9657) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9661)   ~ (all_52_14 = e1)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9662)   ~ (all_28_2 = e1)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (329), (9662) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9663)   ~ (all_10_2 = e1)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9664)  all_54_5 = e3
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (9591), (9664) are inconsistent by
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1268.
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9665)   ~ (all_54_5 = e3)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9666)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9666) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9667)  all_54_5 = e2
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (9667) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9668)  all_10_2 = e2
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9668) implies:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9669)  all_10_2 = e2
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (9669) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9670)   ~ (all_52_4 = e2)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (9669) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9671)   ~ (all_52_6 = e2)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (9669) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9672)   ~ (all_52_9 = e2)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9591), (9669) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9673)   ~ (e3 = e2)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (9669) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9674)  op(e2, e2) = e2
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9675)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e2)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9675) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9676)  all_56_6 = e2 & op(e1, e3) = e2
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9676) implies:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9677)  op(e1, e3) = e2
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9678)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9678) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9679)  all_56_4 = e2 & op(e3, e1) = e2
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9679) implies:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9680)  op(e3, e1) = e2
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e2,
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (9677) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9681)  all_52_2 = e2
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e2,
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (9680) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9682)  all_52_8 = e2
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (9681) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9683)   ~ (all_52_6 = e2)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (9681) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9684)   ~ (all_52_14 = e2)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (9682) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9685)   ~ (all_52_9 = e2)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (9682) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9686)   ~ (all_52_11 = e2)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (9682) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9687)   ~ (all_52_12 = e2)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (9682) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9688)   ~ (all_4_2 = e2)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9688) implies:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9689)   ~ (all_4_2 = e2)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9690)  all_54_0 = e3
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (9690) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9691)  all_4_2 = e3
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9691) implies:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9692)  all_4_2 = e3
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (9692) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9693)   ~ (all_52_1 = e3)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (9692) imply:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9694)   ~ (all_52_4 = e3)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9695)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9695) gives:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9696)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (9677), (9693), (9696),
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #227.
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9697)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (170), (9660), (9670), (9697),
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #839.
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9698)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9698) gives:
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9699)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (9571), (9672), (9699),
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #225.
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9700)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9700) gives:
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9701)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9701) implies:
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9702)  op(e3, e1) = e1
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9615), (9702), (function-axioms) are
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9703)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9703) gives:
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9704)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9704) implies:
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9705)  op(e2, e1) = e1
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9616), (9705), (function-axioms) are
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9706)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9706) implies:
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9707)  op(e0, e1) = all_57_27
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9708)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.53/27.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9708) gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9709)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22) = all_57_8 & op(e1, all_57_23) =
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9709) implies:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9710)  op(e1, e0) = e1
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9654), (9655), (9710), (function-axioms) are
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1423.
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9711)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25) = all_57_12 & op(e0, all_57_26) =
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & all_57_25 = e0 & op(e3, e0) = e0) |
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0))
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9711) implies:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9712)  op(e0, e2) = all_57_26
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9713)  op(e0, e3) = all_57_25
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9714)  op(e0, all_57_31) = all_57_15
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9715)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e0 & op(e1, e0) = e0)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9656), (9714) imply:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9716)  op(e0, e2) = all_57_15
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (157), (9707)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9717)  all_57_27 = all_52_11
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15, e2, e0, simplifying with (158), (9716)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9718)  all_57_15 = all_52_7
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_57_26,
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15, e2, e0, simplifying with (9712), (9716)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9719)  all_57_15 = all_57_26
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25, e3, e0, simplifying with (159), (9713)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9720)  all_57_25 = all_52_3
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9718), (9719) imply:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9721)  all_57_26 = all_52_7
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9722)  all_54_9 = e3
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (9722) imply:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9723)  all_52_6 = e3
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9723) implies:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9724)  all_52_6 = e3
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (9724) imply:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9725)   ~ (all_52_14 = e3)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9725) implies:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9726)   ~ (all_52_14 = e3)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9727)  all_54_11 = e3
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (9726), (9727) are inconsistent by
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1336.
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9728)   ~ (all_54_11 = e3)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9729)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9730)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9730) gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9731)  all_56_9 = e3 & op(e3, e0) = e3
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9731) implies:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9732)  op(e3, e0) = e3
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (9660), (9732), (function-axioms) are
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9733)  all_56_10 = e3 & op(e2, e0) = e3
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9733) implies:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9734)  all_56_10 = e3
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9729) gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9735)  all_54_11 = e2
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (9735) imply:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9736)  all_52_14 = e2
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9575), (9736) imply:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9737)  $false
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9737) is inconsistent.
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9738)  all_54_11 = e1 | all_54_11 = e0
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9739)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9739) gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9740)  all_56_9 = e1 & op(e3, e0) = e1
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9740) implies:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9741)  all_56_9 = e1
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9738) gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9742)  all_54_11 = e1
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (9661), (9742) are inconsistent by
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1114.
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9743)  all_54_11 = e0
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (9743) imply:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9744)  all_52_14 = e0
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9744) implies:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9745)  all_52_14 = e0
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (9745) imply:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9746)   ~ (all_52_12 = e0)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (9745) imply:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9747)   ~ (all_52_13 = e0)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9748)  all_54_3 = e3
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (9660), (9748) are inconsistent by
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #809.
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9749)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9749) gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9750)  all_54_3 = e2
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (9573), (9750) are inconsistent by
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #748.
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9751)  all_54_3 = e1 | all_54_3 = e0
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9751) gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9752)  all_54_3 = e1
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (9752) imply:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9753)  all_52_12 = e1
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9753) implies:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9754)  all_52_12 = e1
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9754) imply:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9755)   ~ (all_52_13 = e1)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9755) implies:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9756)   ~ (all_52_13 = e1)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (9754) imply:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9757)  op(e3, e0) = e1
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9758)  all_54_7 = e3
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (9758) imply:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9759)  all_52_13 = e3
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9759) implies:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9760)  all_52_13 = e3
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (9760) imply:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9761)   ~ (all_52_9 = e3)
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9762)  all_54_6 = e3
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (9761), (9762) are inconsistent by
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1242.
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9763)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9763) gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9764)  all_54_6 = e2
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (9672), (9764) are inconsistent by
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1241.
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9765)  all_54_6 = e1 | all_54_6 = e0
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9765) gives:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9766)  all_54_6 = e1
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (9616), (9766) are inconsistent by
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #940.
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9767)  all_54_6 = e0
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.53/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (9767) imply:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9768)  all_52_9 = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9768) implies:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9769)  all_52_9 = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (9769) imply:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9770)   ~ (all_52_11 = e0)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9770) implies:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9771)   ~ (all_52_11 = e0)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9616), (9769) imply:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9772)   ~ (e1 = e0)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9773)  all_54_14 = e3
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (9773) imply:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9774)  all_52_11 = e3
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9717), (9774) imply:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9775)  all_57_27 = e3
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9715) gives:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9776)  all_57_31 = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (9617), (9707), (9708), (9776),
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #224.
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9777)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e0)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (36), (39), (51), (113), (160), (164),
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (210), (241), (285), (349), (386), (387), (9603),
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9609), (9661), (9708), (9741), (9746), (9747),
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9751), (9757), (9775), (9777), (function-axioms)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #223.
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9778)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (9572), (9617), (9771), (9778) are
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1233.
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9779)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (9574), (9747), (9756), (9779) are
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #944.
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9780)  all_54_3 = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (9746), (9780) are inconsistent by
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #828.
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9781)  all_56_10 = e1 & op(e2, e0) = e1
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9781) implies:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9782)  all_56_10 = e1
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9734), (9782) are inconsistent by sub-proof
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1489.
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9783)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9654), (9655), (9783),
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #222.
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9784)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9590), (9726), (9784),
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #220.
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9785)   ~ (all_54_9 = e3)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9786)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (273), (9785) imply:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9787)   ~ (all_52_6 = e3)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9786) gives:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9788)  all_54_9 = e2
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (9671), (9788) are inconsistent by
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1323.
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9789)  all_54_9 = e1 | all_54_9 = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9790)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (9674), (9694), (9790),
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1601.
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9791)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9791) gives:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9792)  all_56_7 = e3 & op(e1, e2) = e3
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9787), (9792), (function-axioms) are
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #990.
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9793)  all_56_13 = e3 & op(e0, e2) = e3
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9793) implies:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9794)  all_56_13 = e3
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9795)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9795) gives:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9796)  all_56_12 = e1 & op(e0, e3) = e1
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9796) implies:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9797)  op(e0, e3) = e1
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9789) gives:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9798)  all_54_9 = e1
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (9614), (9798) are inconsistent by
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1322.
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9799)  all_54_9 = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (9799) imply:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9800)  all_52_6 = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9800) implies:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9801)  all_52_6 = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (9801) imply:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9802)   ~ (all_52_7 = e0)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9802) implies:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9803)   ~ (all_52_7 = e0)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (9801) imply:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9804)   ~ (all_52_14 = e0)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9804) implies:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9805)   ~ (all_52_14 = e0)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9614), (9801) imply:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9806)   ~ (e1 = e0)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9715) gives:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9807)  all_57_31 = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (9617), (9707), (9708), (9807),
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #224.
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9808)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e0) = e0)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9808) gives:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9809)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9809) implies:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9810)  all_57_25 = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9720), (9810) imply:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9811)  all_52_3 = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (9811) imply:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9812)  op(e0, e3) = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9797), (9812), (function-axioms) are
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1589.
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9813)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0)
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9813) gives:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9814)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9721), (9803), (9814) are inconsistent by
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #240.
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9815)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9815) implies:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9816)  op(e1, e0) = e0
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (9805), (9816), (function-axioms) are
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1318.
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9817)  all_56_13 = e1 & op(e0, e2) = e1
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9817) implies:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9818)  all_56_13 = e1
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9794), (9818) are inconsistent by sub-proof
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1357.
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9819)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (387), (9617), (9819),
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1515.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9820)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (9598), (9689), (9820) are
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1354.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9821)  all_56_5 = e2 & op(e2, e1) = e2
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9821) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9822)  op(e2, e1) = e2
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9672), (9822), (function-axioms) are
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #226.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9823)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (9572), (9619), (9823),
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #219.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9824)  all_56_7 = e2 & op(e1, e2) = e2
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9824) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9825)  op(e1, e2) = e2
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9671), (9825), (function-axioms) are
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9826)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e1, e0) = e2)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9826) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9827)  all_56_8 = e2 & op(e1, e1) = e2
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9827) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9828)  op(e1, e1) = e2
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9619), (9828), (function-axioms) are
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9829)  all_56_11 = e2 & op(e1, e0) = e2
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9829) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9830)  all_56_11 = e2
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9831)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9831) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9832)  all_56_4 = e2 & op(e3, e1) = e2
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9832) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9833)  all_56_4 = e2
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9834)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9834) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9835)  all_56_9 = e3 & op(e3, e0) = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9835) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9836)  op(e3, e0) = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (9660), (9836), (function-axioms) are
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9837)  all_56_10 = e3 & op(e2, e0) = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9837) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9838)  all_56_10 = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9839)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9839) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9840)  all_56_2 = e1 & op(e2, e3) = e1
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9840) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9841)  all_56_2 = e1
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9842)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9842) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9843)  all_56_9 = e1 & op(e3, e0) = e1
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9843) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9844)  all_56_9 = e1
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9845)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e0)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9845) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9846)  all_56_0 = e0 & op(e3, e3) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9846) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9847)  op(e3, e3) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (9847), (function-axioms) are
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9848)  all_56_1 = e0 & op(e3, e2) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9848) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9849)  all_56_1 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9850)  op(e3, e2) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9851)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9851) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9852)  all_56_2 = e0 & op(e2, e3) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9852) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9853)  all_56_2 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9841), (9853) imply:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9854)  e1 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9854) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9855)  e1 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9844), (9855) imply:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9856)  all_56_9 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (39), (160), (210), (387), (9661),
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9838), (9856), (function-axioms) are inconsistent
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1483.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9857)  all_56_3 = e0 & op(e2, e2) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9857) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9858)  op(e2, e2) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9674), (9858), (function-axioms) are
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9859)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9859) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9860)  all_56_5 = e0 & op(e2, e1) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9860) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9861)  all_56_5 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9862)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e3)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9862) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9863)  all_56_4 = e3 & op(e3, e1) = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9833), (9863) are inconsistent by sub-proof
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1381.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9864)  all_56_5 = e3 & op(e2, e1) = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9861), (9864) are inconsistent by sub-proof
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1332.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9865)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e1) = e3)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9865) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9866)  all_56_8 = e3 & op(e1, e1) = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9866) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9867)  op(e1, e1) = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (9594), (9596), (9603), (9606),
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9867), (function-axioms) are inconsistent by
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1101.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9868)  all_56_14 = e3 & op(e0, e1) = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9868) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9869)  all_56_14 = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9870)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9870) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9871)  all_56_1 = e1 & op(e3, e2) = e1
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9871) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9872)  all_56_1 = e1
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9849), (9872) imply:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9873)  e1 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9844), (9873) imply:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9874)  all_56_9 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (39), (160), (210), (387), (9661),
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9838), (9874), (function-axioms) are inconsistent
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1483.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9875)  all_56_3 = e1 & op(e2, e2) = e1
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9875) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9876)  op(e2, e2) = e1
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9674), (9876), (function-axioms) are
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9877)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9877) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9878)  all_56_7 = e1 & op(e1, e2) = e1
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9878) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9879)  op(e1, e2) = e1
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (9614), (9879), (function-axioms) are
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #834.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9880)  all_56_13 = e1 & op(e0, e2) = e1
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9880) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9881)  all_56_13 = e1
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9882)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9882) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9883)  all_56_0 = e3 & op(e3, e3) = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9883) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9884)  op(e3, e3) = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9885)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9885) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9886)  all_56_1 = e3 & op(e3, e2) = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9886) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9887)  all_56_1 = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (230), (232),
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (386), (9598), (9833), (9844), (9884),
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9887), (function-axioms) are inconsistent by
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1124.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9888)  all_56_3 = e3 & op(e2, e2) = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9888) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9889)  op(e2, e2) = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9674), (9889), (function-axioms) are
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9890)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e2) = e3)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9890) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9891)  all_56_7 = e3 & op(e1, e2) = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9891) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9892)  all_56_7 = e3
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9893)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e2) = e0)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9893) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9894)  all_56_6 = e0 & op(e1, e3) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9894) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9895)  all_56_6 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9896)  op(e1, e3) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9897)  all_56_15 = e0 & op(e0, e0) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9897) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9898)  op(e0, e0) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (9898), (function-axioms) are
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9899)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9899) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9900)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e0)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9900) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9901)  all_56_12 = e0 & op(e0, e3) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9901) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9902)  all_56_12 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (9841),
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9895), (9896), (9902), (function-axioms) are
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1361.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9903)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e1) = e0)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9903) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9904)  all_56_13 = e0 & op(e0, e2) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9904) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9905)  all_56_13 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9881), (9905) imply:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9906)  e1 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9841), (9906) imply:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9907)  all_56_2 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (162), (165), (222), (227),
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9616), (9671), (9838), (9849), (9881), (9907),
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1244.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9908)  all_56_14 = e0 & op(e0, e1) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9908) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9909)  all_56_14 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9869), (9909) are inconsistent by sub-proof
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1470.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9910)  all_56_7 = e0 & op(e1, e2) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9910) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9911)  all_56_7 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9892), (9911) are inconsistent by sub-proof
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1464.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9912)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e1, e0) = e0)
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9912) gives:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9913)  all_56_8 = e0 & op(e1, e1) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9913) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9914)  op(e1, e1) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9619), (9914), (function-axioms) are
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9915)  all_56_11 = e0 & op(e1, e0) = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9915) implies:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9916)  all_56_11 = e0
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9830), (9916) imply:
% 179.73/27.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9917)  e2 = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9833), (9917) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9918)  all_56_4 = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (170), (234), (9670), (9844),
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9884), (9918), (function-axioms) are inconsistent
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #869.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9919)  all_56_13 = e3 & op(e0, e2) = e3
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9919) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9920)  all_56_13 = e3
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9881), (9920) are inconsistent by sub-proof
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1357.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9921)  all_56_1 = e3 & op(e3, e2) = e3
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9921) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9922)  op(e3, e2) = e3
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9850), (9922), (function-axioms) are
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #218.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9923)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (9660), (9833), (9923),
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1044.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9924)  all_56_10 = e0 & op(e2, e0) = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9838), (9924) are inconsistent by sub-proof
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #217.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9925)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e0)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9925) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9926)  all_56_4 = e0 & op(e3, e1) = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9833), (9926) are inconsistent by sub-proof
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1190.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9927)  all_56_9 = e0 & op(e3, e0) = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9927) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9928)  all_56_9 = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (39), (160), (210), (387), (9661),
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9838), (9928), (function-axioms) are inconsistent
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1483.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9929)  all_56_10 = e1 & op(e2, e0) = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9929) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9930)  all_56_10 = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9838), (9930) are inconsistent by sub-proof
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1489.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9931)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9654), (9655), (9931),
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #222.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9932)  all_56_3 = e1 & op(e2, e2) = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9932) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9933)  op(e2, e2) = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9674), (9933), (function-axioms) are
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9934)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (9616), (9838), (9934),
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1485.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9935)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (9830), (9935), (function-axioms) are
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #216.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9936)  all_56_5 = e2 & op(e2, e1) = e2
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9936) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9937)  op(e2, e1) = e2
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9938)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9938) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9939)  all_56_9 = e3 & op(e3, e0) = e3
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9939) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9940)  op(e3, e0) = e3
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (9660), (9940), (function-axioms) are
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9941)  all_56_10 = e3 & op(e2, e0) = e3
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9941) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9942)  all_56_10 = e3
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9943)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e0)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9943) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9944)  all_56_2 = e0 & op(e2, e3) = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9944) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9945)  all_56_2 = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9946)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9946) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9947)  all_56_9 = e1 & op(e3, e0) = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9947) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9948)  all_56_9 = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9949)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e1)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9949) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9950)  all_56_2 = e1 & op(e2, e3) = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9950) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9951)  all_56_2 = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9945), (9951) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9952)  e1 = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9948), (9952) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9953)  all_56_9 = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (39), (160), (210), (387), (9661),
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9942), (9953), (function-axioms) are inconsistent
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1483.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9954)  all_56_3 = e1 & op(e2, e2) = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9954) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9955)  op(e2, e2) = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9674), (9955), (function-axioms) are
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9956)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9956) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9957)  all_56_5 = e1 & op(e2, e1) = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9957) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9958)  op(e2, e1) = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9937), (9958), (function-axioms) are
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1148.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9959)  all_56_10 = e1 & op(e2, e0) = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9959) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9960)  all_56_10 = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9942), (9960) are inconsistent by sub-proof
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1489.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9961)  all_56_10 = e1 & op(e2, e0) = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9942), (9961) are inconsistent by sub-proof
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1486.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9962)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9654), (9655), (9962),
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #222.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9963)  all_56_3 = e0 & op(e2, e2) = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9963) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9964)  op(e2, e2) = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9674), (9964), (function-axioms) are
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9965)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9965) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9966)  all_56_5 = e0 & op(e2, e1) = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9966) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9967)  op(e2, e1) = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9937), (9967), (function-axioms) are
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #272.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9968)  all_56_10 = e0 & op(e2, e0) = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9942), (9968) are inconsistent by sub-proof
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #882.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9969)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (9830), (9969), (function-axioms) are
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #216.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9970)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e1) = e2)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (163), (213),
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (216), (9572), (9613), (9830), (9970),
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #244.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9971)  all_54_5 = e1 | all_54_5 = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (9593), (9663), (9971) are inconsistent by
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1353.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9972)  all_28_2 = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (9972) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9973)  all_10_2 = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9973) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9974)  all_10_2 = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (9974) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9975)   ~ (all_52_7 = e1)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (9974) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9976)   ~ (all_52_13 = e1)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (9974) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9977)  op(e2, e2) = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9978)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9978) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9979)  all_56_12 = e1 & op(e0, e3) = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9979) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9980)  op(e0, e3) = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9601) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9981)   ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_0)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9977), (9981), (function-axioms) are inconsistent
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #215.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9982)   ~ (all_22_1 = e3) & op(e2, e0) = all_22_1 &
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_22_1)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9982) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9983)   ~ (all_22_1 = e3)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9984)  op(e2, e0) = all_22_1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9985)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9985) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9986)  all_56_9 = e1 & op(e3, e0) = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9986) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9987)  op(e3, e0) = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (9980) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9988)  all_52_3 = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_22_1, e0, e2, simplifying with (164), (9984)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9989)  all_52_13 = all_22_1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e3, simplifying with (168), (9987) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9990)  all_52_12 = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (9989) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9991)  all_54_7 = all_22_1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9658), (9989) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9992)  all_57_21 = all_22_1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9659), (9990) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9993)  all_57_18 = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (9989) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9994)   ~ (all_52_1 = all_22_1)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (9990) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9995)   ~ (all_52_14 = e1)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (9989) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9996)   ~ (all_52_14 = all_22_1)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9996) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9997)   ~ (all_52_14 = all_22_1)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9574), (9989) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9998)   ~ (all_22_1 = e2)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9976), (9989) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (9999)   ~ (all_22_1 = e1)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10000)  all_54_7 = e3
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9991), (10000) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10001)  all_22_1 = e3
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10001) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10002)  all_22_1 = e3
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9983), (10002) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10003)  $false
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10003) is inconsistent.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10004)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10004) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10005)  all_54_7 = e2
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9991), (10005) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10006)  all_22_1 = e2
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10006) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10007)  all_22_1 = e2
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9998), (10007) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10008)  $false
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10008) is inconsistent.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10009)  all_54_7 = e1 | all_54_7 = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10009) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10010)  all_54_7 = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9991), (10010) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10011)  all_22_1 = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10011) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10012)  all_22_1 = e1
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9999), (10012) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10013)  $false
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10013) is inconsistent.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10014)  all_54_7 = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9991), (10014) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10015)  all_22_1 = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10015) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10016)  all_22_1 = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9992), (10016) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10017)  all_57_21 = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9994), (10016) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10018)   ~ (all_52_1 = e0)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9997), (10016) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10019)   ~ (all_52_14 = e0)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9999), (10016) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10020)   ~ (e1 = e0)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10021)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (167), (386), (10018), (10021),
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #929.
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10022)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10022) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10023)  all_56_6 = e0 & op(e1, e3) = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10023) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10024)  op(e1, e3) = e0
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10025)  all_54_11 = e3
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (10025) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10026)  all_52_14 = e3
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10026) implies:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10027)  all_52_14 = e3
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9657), (10027) imply:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10028)  all_57_24 = e3
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10029)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10029) gives:
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10030)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (159), (163), (170), (204), (294),
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (353), (355), (357), (9980), (10024), (10030),
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1283.
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10031)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10031) gives:
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10032)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10032) implies:
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10033)  op(e0, e3) = e3
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (9980), (10033), (function-axioms) are
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1529.
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10034)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10034) implies:
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10035)   ~ (all_57_7 = e0)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10036)  op(e2, all_57_21) = all_57_7
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9645), (10017), (10035), (10036),
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #214.
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10037)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10037) gives:
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10038)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (9977), (10038), (function-axioms)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1027.
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10039)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10039) gives:
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10040)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10040) implies:
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10041)  op(e3, e1) = e1
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9615), (10041), (function-axioms) are
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10042)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10042) gives:
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10043)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10043) implies:
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10044)  op(e2, e1) = e1
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9616), (10044), (function-axioms) are
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10045)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10045) implies:
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10046)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (160), (9654), (9655), (9656), (9661),
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9993), (10028), (10046), (function-axioms) are
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #211.
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10047)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (9575), (9661), (10019), (10047) are
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1112.
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10048)  all_56_12 = e0 & op(e0, e3) = e0
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10048) implies:
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10049)  op(e0, e3) = e0
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9980), (10049), (function-axioms) are
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1589.
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10050)  all_56_10 = e1 & op(e2, e0) = e1
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10050) implies:
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10051)  op(e2, e0) = e1
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9976), (10051), (function-axioms) are
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1273.
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10052)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (9654), (9655), (10052),
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #222.
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10053)  all_56_13 = e1 & op(e0, e2) = e1
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10053) implies:
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10054)  op(e0, e2) = e1
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9975), (10054), (function-axioms) are
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #841.
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10055)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (387), (9617), (10055),
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1515.
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | |   (10056)  all_54_10 = e0
% 179.73/27.47  | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | REF_CLOSE: (349), (9603), (10056) are inconsistent by
% 179.73/27.47  | | | | | | | | | | | | | | | |            sub-proof #1618.
% 179.73/27.47  | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | |   (10057)  all_26_2 = e0
% 179.73/27.47  | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | COMBINE_EQS: (318), (10057) imply:
% 179.73/27.47  | | | | | | | | | | | | |   (10058)  all_14_2 = e0
% 179.73/27.47  | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | SIMP: (10058) implies:
% 179.73/27.47  | | | | | | | | | | | | |   (10059)  all_14_2 = e0
% 179.73/27.47  | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | COMBINE_EQS: (309), (10059) imply:
% 179.73/27.47  | | | | | | | | | | | | |   (10060)  all_44_2 = e0
% 179.73/27.47  | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | REDUCE: (363), (10059) imply:
% 179.73/27.47  | | | | | | | | | | | | |   (10061)   ~ (all_52_2 = e0)
% 179.73/27.47  | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | REDUCE: (374), (10059) imply:
% 179.73/27.47  | | | | | | | | | | | | |   (10062)   ~ (all_52_6 = e0)
% 179.73/27.47  | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | REDUCE: (376), (10059) imply:
% 179.73/27.47  | | | | | | | | | | | | |   (10063)   ~ (all_52_8 = e0)
% 179.73/27.47  | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | REDUCE: (377), (10059) imply:
% 179.73/27.47  | | | | | | | | | | | | |   (10064)   ~ (all_52_9 = e0)
% 179.73/27.47  | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | REDUCE: (379), (10059) imply:
% 179.73/27.47  | | | | | | | | | | | | |   (10065)   ~ (all_52_11 = e0)
% 179.73/27.47  | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | REDUCE: (381), (10059) imply:
% 179.73/27.47  | | | | | | | | | | | | |   (10066)   ~ (all_52_14 = e0)
% 179.73/27.47  | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | REDUCE: (9596), (10059) imply:
% 179.73/27.47  | | | | | | | | | | | | |   (10067)   ~ (e3 = e0)
% 179.73/27.47  | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | REDUCE: (9594), (10059) imply:
% 179.73/27.47  | | | | | | | | | | | | |   (10068)   ~ (e2 = e0)
% 179.73/27.47  | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | REDUCE: (51), (10059) imply:
% 179.73/27.47  | | | | | | | | | | | | |   (10069)  op(e1, e1) = e0
% 179.73/27.47  | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | BETA: splitting (97) gives:
% 179.73/27.47  | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | |   (10070)   ~ (all_44_2 = e0)
% 179.73/27.47  | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | REDUCE: (10060), (10070) imply:
% 179.73/27.47  | | | | | | | | | | | | | |   (10071)  $false
% 179.73/27.47  | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | CLOSE: (10071) is inconsistent.
% 179.73/27.47  | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | |   (10072)  ( ~ (all_44_0 = e2) & op(e0, e0) = all_44_0 &
% 179.73/27.47  | | | | | | | | | | | | | |              $i(all_44_0)) | ( ~ (all_44_1 = e3) & op(e0, e1)
% 179.73/27.47  | | | | | | | | | | | | | |              = all_44_1 & $i(all_44_1))
% 179.73/27.47  | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | BETA: splitting (10072) gives:
% 179.73/27.47  | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | |   (10073)   ~ (all_44_0 = e2) & op(e0, e0) = all_44_0 &
% 179.73/27.47  | | | | | | | | | | | | | | |            $i(all_44_0)
% 179.73/27.47  | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | ALPHA: (10073) implies:
% 179.73/27.47  | | | | | | | | | | | | | | |   (10074)   ~ (all_44_0 = e2)
% 179.73/27.47  | | | | | | | | | | | | | | |   (10075)  op(e0, e0) = all_44_0
% 179.73/27.47  | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | REF_CLOSE: (9590), (10074), (10075), (function-axioms) are
% 179.73/27.47  | | | | | | | | | | | | | | |            inconsistent by sub-proof #210.
% 179.73/27.47  | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | |   (10076)   ~ (all_44_1 = e3) & op(e0, e1) = all_44_1 &
% 179.73/27.47  | | | | | | | | | | | | | | |            $i(all_44_1)
% 179.73/27.47  | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | ALPHA: (10076) implies:
% 179.73/27.47  | | | | | | | | | | | | | | |   (10077)   ~ (all_44_1 = e3)
% 179.73/27.47  | | | | | | | | | | | | | | |   (10078)  op(e0, e1) = all_44_1
% 179.73/27.47  | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 179.73/27.47  | | | | | | | | | | | | | | |              all_44_1, e1, e0, simplifying with (157), (10078)
% 179.73/27.47  | | | | | | | | | | | | | | |              gives:
% 179.73/27.47  | | | | | | | | | | | | | | |   (10079)  all_52_11 = all_44_1
% 179.73/27.47  | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | COMBINE_EQS: (262), (10079) imply:
% 179.73/27.47  | | | | | | | | | | | | | | |   (10080)  all_54_14 = all_44_1
% 179.73/27.47  | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | REDUCE: (139), (10079) imply:
% 179.73/27.47  | | | | | | | | | | | | | | |   (10081)   ~ (all_52_3 = all_44_1)
% 179.73/27.47  | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | REDUCE: (125), (10079) imply:
% 179.73/27.47  | | | | | | | | | | | | | | |   (10082)   ~ (all_52_7 = all_44_1)
% 179.73/27.47  | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | REDUCE: (121), (10079) imply:
% 179.73/27.47  | | | | | | | | | | | | | | |   (10083)   ~ (all_52_8 = all_44_1)
% 179.73/27.47  | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | REDUCE: (118), (10079) imply:
% 179.73/27.47  | | | | | | | | | | | | | | |   (10084)   ~ (all_52_9 = all_44_1)
% 179.73/27.47  | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | REDUCE: (9572), (10079) imply:
% 179.73/27.47  | | | | | | | | | | | | | | |   (10085)   ~ (all_44_1 = e2)
% 179.73/27.47  | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | REDUCE: (10065), (10079) imply:
% 179.73/27.47  | | | | | | | | | | | | | | |   (10086)   ~ (all_44_1 = e0)
% 179.73/27.47  | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | |   (10087)  all_54_14 = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | COMBINE_EQS: (10080), (10087) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | |   (10088)  all_44_1 = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | REDUCE: (10077), (10088) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | |   (10089)  $false
% 179.73/27.47  | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | CLOSE: (10089) is inconsistent.
% 179.73/27.47  | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | |   (10090)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 179.73/27.47  | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | BETA: splitting (10090) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | |   (10091)  all_54_14 = e2
% 179.73/27.47  | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | COMBINE_EQS: (10080), (10091) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | |   (10092)  all_44_1 = e2
% 179.73/27.47  | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | REDUCE: (10085), (10092) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | |   (10093)  $false
% 179.73/27.47  | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | CLOSE: (10093) is inconsistent.
% 179.73/27.47  | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | |   (10094)   ~ (all_54_14 = e2)
% 179.73/27.47  | | | | | | | | | | | | | | | | |   (10095)  all_54_14 = e1 | all_54_14 = e0
% 179.73/27.47  | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | BETA: splitting (10095) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | |   (10096)  all_54_14 = e1
% 179.73/27.47  | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10080), (10096) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | |   (10097)  all_44_1 = e1
% 179.73/27.47  | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | REDUCE: (10081), (10097) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | |   (10098)   ~ (all_52_3 = e1)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | REDUCE: (10082), (10097) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | |   (10099)   ~ (all_52_7 = e1)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | REDUCE: (10083), (10097) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | |   (10100)   ~ (all_52_8 = e1)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | REDUCE: (10084), (10097) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | |   (10101)   ~ (all_52_9 = e1)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | REDUCE: (10085), (10097) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | |   (10102)   ~ (e2 = e1)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | |   (10103)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 179.73/27.47  | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | BETA: splitting (10103) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | |   (10104)  all_56_4 = e1 & op(e3, e1) = e1
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | ALPHA: (10104) implies:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | |   (10105)  op(e3, e1) = e1
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (262), (10065), (10095), (10105),
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | |            #1258.
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | |   (10106)  all_56_5 = e1 & op(e2, e1) = e1
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | ALPHA: (10106) implies:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | |   (10107)  op(e2, e1) = e1
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10101), (10107), (function-axioms) are
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | |   (10108)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 179.73/27.47  | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | BETA: splitting (10108) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | |   (10109)  all_56_8 = e1 & op(e1, e1) = e1
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | ALPHA: (10109) implies:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | |   (10110)  op(e1, e1) = e1
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10069), (10110), (function-axioms) are
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | |   (10111)  all_56_14 = e1 & op(e0, e1) = e1
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | ALPHA: (10111) implies:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | |   (10112)  all_56_14 = e1
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | |   (10113)  op(e0, e1) = e1
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | |   (10114)   ~ (all_28_2 = e1)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | REDUCE: (329), (10114) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | |   (10115)   ~ (all_10_2 = e1)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | |   (10116)  all_54_5 = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (10116) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | |   (10117)  all_10_2 = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9591), (10117) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | |   (10118)  $false
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10118) is inconsistent.
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | |   (10119)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10119) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | |   (10120)  all_54_5 = e2
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (10120) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | |   (10121)  all_10_2 = e2
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (10121) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | |   (10122)   ~ (all_52_1 = e2)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (10121) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | |   (10123)   ~ (all_52_6 = e2)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (10121) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | |   (10124)   ~ (all_52_9 = e2)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (10121) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | |   (10125)  op(e2, e2) = e2
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | |   (10126)  all_54_6 = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (10126) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | |   (10127)  all_52_9 = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (10127) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | |   (10128)   ~ (all_52_8 = e3)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (10127) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | |   (10129)   ~ (all_52_13 = e3)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10129) implies:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | |   (10130)   ~ (all_52_13 = e3)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (10127) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | |   (10131)  op(e2, e1) = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (10132)  all_54_2 = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (10128), (10132) are inconsistent by
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1335.
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (10133)   ~ (all_54_2 = e3)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (10134)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10134) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10135)  all_54_2 = e2
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (10135) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10136)  all_52_8 = e2
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10136) implies:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10137)  all_52_8 = e2
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (10137) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10138)   ~ (all_52_12 = e2)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (10137) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10139)   ~ (all_4_2 = e2)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10139) implies:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10140)   ~ (all_4_2 = e2)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10141)  all_54_0 = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (10141) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10142)  all_4_2 = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (10142) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10143)   ~ (all_52_1 = e3)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (10142) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10144)   ~ (all_52_3 = e3)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (10142) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10145)   ~ (all_52_12 = e3)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (10142) imply:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10146)  op(e3, e3) = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10147)  all_54_12 = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (10144), (10147) are inconsistent by
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1265.
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10148)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10149)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (10130), (10145), (10149),
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #208.
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10150)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10150) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10151)  all_56_11 = e3 & op(e1, e0) = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10151) implies:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10152)  all_56_11 = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10153)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10153) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10154)  all_56_12 = e3 & op(e0, e3) = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10154) implies:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10155)  all_56_12 = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10156)  op(e0, e3) = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10157)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (229),
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (386), (10146), (10155), (10156), (10157),
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #207.
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10158)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10158) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10159)  all_56_6 = e2 & op(e1, e3) = e2
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10159) implies:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10160)  all_56_6 = e2
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10161)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (36), (229), (386), (10146),
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10155), (10160), (10161), (function-axioms) are
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1012.
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10162)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10162) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10163)  all_56_6 = e1 & op(e1, e3) = e1
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10163) implies:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10164)  all_56_6 = e1
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (162), (215), (10069), (10123),
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10152), (10164), (function-axioms) are
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1214.
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10165)  all_56_12 = e1 & op(e0, e3) = e1
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10165) implies:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10166)  op(e0, e3) = e1
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (10156), (10166), (function-axioms)
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1529.
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10167)  all_56_12 = e2 & op(e0, e3) = e2
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10167) implies:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10168)  op(e0, e3) = e2
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10156), (10168), (function-axioms) are
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1039.
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10169)  all_56_13 = e3 & op(e0, e2) = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10169) implies:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10170)  all_56_13 = e3
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10171)  all_56_15 = e0 & op(e0, e0) = e0
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10171) implies:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10172)  op(e0, e0) = e0
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10172), (function-axioms) are
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10173)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 179.73/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10173) implies:
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10174)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10174) gives:
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10175)  all_56_12 = e0 & op(e0, e3) = e0
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10175) implies:
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10176)  op(e0, e3) = e0
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10177)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10177) gives:
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10178)  all_56_1 = e0 & op(e3, e2) = e0
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10178) implies:
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10179)  all_56_1 = e0
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10180)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (10146), (10179), (10180),
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #878.
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10181)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10181) gives:
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10182)  all_56_4 = e1 & op(e3, e1) = e1
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10182) implies:
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10183)  op(e3, e1) = e1
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (262), (10065), (10095), (10183),
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1258.
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10184)  all_56_9 = e1 & op(e3, e0) = e1
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10184) implies:
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10185)  op(e3, e0) = e1
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10186)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10186) gives:
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10187)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (10128), (10143), (10187),
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #280.
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10188)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10188) gives:
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10189)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10176), (10185), (10189), (function-axioms)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #206.
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10190)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10190) implies:
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10191)  op(e3, e2) = e2
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (170), (286), (10063), (10100), (10134),
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10191), (function-axioms) are inconsistent by
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #205.
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10192)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10192) gives:
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10193)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (158), (9571), (10131), (10193),
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #900.
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10194)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10194) gives:
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10195)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10195) implies:
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10196)  op(e3, e1) = e1
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (262), (10065), (10095), (10196),
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1258.
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10197)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10197) gives:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10198)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10198) implies:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10199)  op(e2, e1) = e1
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10131), (10199), (function-axioms) are
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10200)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10200) implies:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10201)  op(e0, e1) = all_57_27
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10202)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10148) gives:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10203)  all_54_12 = e2
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9570), (10203) are inconsistent by
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #709.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10204)  all_54_12 = e1 | all_54_12 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10204) gives:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10205)  all_54_12 = e1
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (10098), (10205) are inconsistent by
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #204.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10206)  all_54_12 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (10206) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10207)  all_52_3 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10207) implies:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10208)  all_52_3 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (10208) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10209)   ~ (all_52_1 = e0)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (10208) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10210)   ~ (all_52_7 = e0)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10210) implies:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10211)   ~ (all_52_7 = e0)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10212)  all_54_13 = e3
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (10212) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10213)  all_52_7 = e3
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10213) implies:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10214)  all_52_7 = e3
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10214) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10215)   ~ (all_52_6 = e3)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10216)  all_54_9 = e3
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (10215), (10216) are inconsistent by
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10217)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10218)  all_54_4 = e3
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (10143), (10218) are inconsistent by
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1078.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10219)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10219) gives:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10220)  all_54_4 = e2
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (10122), (10220) are inconsistent by
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1084.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10221)  all_54_4 = e1 | all_54_4 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10221) gives:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10222)  all_54_4 = e1
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (10222) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10223)  all_52_1 = e1
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10223) implies:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10224)  all_52_1 = e1
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (10224) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10225)   ~ (all_52_13 = e1)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10225) implies:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10226)   ~ (all_52_13 = e1)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10227)  all_54_7 = e3
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (10130), (10227) are inconsistent by
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #797.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10228)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10228) gives:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10229)  all_54_7 = e2
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (9574), (10229) are inconsistent by
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #795.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10230)  all_54_7 = e1 | all_54_7 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10217) gives:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10231)  all_54_9 = e2
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (10231) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10232)  all_52_6 = e2
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10123), (10232) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10233)  $false
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10233) is inconsistent.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10234)  all_54_9 = e1 | all_54_9 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10234) gives:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10235)  all_54_9 = e1
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (10235) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10236)  all_52_6 = e1
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (10236) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10237)   ~ (all_52_14 = e1)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10237) implies:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10238)   ~ (all_52_14 = e1)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10230) gives:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10239)  all_54_7 = e1
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (10226), (10239) are inconsistent by
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #947.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10240)  all_54_7 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (10240) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10241)  all_52_13 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10241) implies:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10242)  all_52_13 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10242) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10243)   ~ (all_52_12 = e0)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (201), (285), (9573), (10113), (10145),
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10201), (10202), (10238), (10243),
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #202.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10244)  all_54_9 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (10244) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10245)  all_52_6 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10062), (10245) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10246)  $false
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10246) is inconsistent.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10247)  all_54_4 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (10209), (10247) are inconsistent by
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #924.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10248)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (9571), (10099), (10211), (10248) are
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1116.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10249)  all_56_3 = e0 & op(e2, e2) = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10249) implies:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10250)  op(e2, e2) = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10125), (10250), (function-axioms) are
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10251)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10251) gives:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10252)  all_56_7 = e0 & op(e1, e2) = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10062), (10252), (function-axioms) are
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1199.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10253)  all_56_13 = e0 & op(e0, e2) = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10253) implies:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10254)  all_56_13 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10170), (10254) are inconsistent by
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #783.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10255)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (10113), (10170), (10255),
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #201.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10256)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10256) gives:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10257)  all_56_14 = e3 & op(e0, e1) = e3
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10257) implies:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10258)  all_56_14 = e3
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10112), (10258) are inconsistent by
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1508.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10259)  all_56_15 = e3 & op(e0, e0) = e3
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10259) implies:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10260)  op(e0, e0) = e3
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (10260), (function-axioms) are
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10261)  all_56_15 = e3 & op(e0, e0) = e3
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10261) implies:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10262)  op(e0, e0) = e3
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (10262), (function-axioms) are
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10263)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (9598), (10140), (10263) are
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1354.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10264)  all_54_2 = e1 | all_54_2 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (10063), (10100), (10264) are inconsistent
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1324.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | |   (10265)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (10064), (10101), (10124), (10265) are
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #200.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | |   (10266)  all_54_5 = e1 | all_54_5 = e0
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (9593), (10115), (10266) are inconsistent
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1353.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | |   (10267)  all_28_2 = e1
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | |   (10268)  ( ~ (all_28_0 = e0) & op(e1, e1) = all_28_0 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | |              $i(all_28_0)) | ( ~ (all_28_1 = e3) & op(e1, e2)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | |              = all_28_1 & $i(all_28_1))
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (10267) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | |   (10269)  all_10_2 = e1
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | SIMP: (10269) implies:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | |   (10270)  all_10_2 = e1
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (10270) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | |   (10271)   ~ (all_52_1 = e1)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (10270) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | |   (10272)   ~ (all_52_13 = e1)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | REDUCE: (9591), (10270) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | |   (10273)   ~ (e3 = e1)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (10270) imply:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | |   (10274)  op(e2, e2) = e1
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9601) gives:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | |   (10275)   ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_0)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10274), (10275), (function-axioms) are
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #215.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | |   (10276)   ~ (all_22_1 = e3) & op(e2, e0) = all_22_1 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_1)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10276) implies:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | |   (10277)   ~ (all_22_1 = e3)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | |   (10278)  op(e2, e0) = all_22_1
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10268) gives:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | |   (10279)   ~ (all_28_0 = e0) & op(e1, e1) = all_28_0 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_28_0)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10069), (10279), (function-axioms) are
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #199.
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | |   (10280)   ~ (all_28_1 = e3) & op(e1, e2) = all_28_1 &
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_28_1)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10280) implies:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | |   (10281)   ~ (all_28_1 = e3)
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | |   (10282)  op(e1, e2) = all_28_1
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | |   (10283)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 180.03/27.49  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (167), (9598), (10271), (10283),
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | |            #1351.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | |   (10284)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10284) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (10285)  all_56_6 = e1 & op(e1, e3) = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10285) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (10286)  all_56_6 = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (10287)  op(e1, e3) = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10288)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e2)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10288) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10289)  all_56_6 = e2 & op(e1, e3) = e2
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10289) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10290)  all_56_6 = e2
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10286), (10290) are inconsistent by
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1215.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10291)  all_56_7 = e2 & op(e1, e2) = e2
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10291) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10292)  all_56_7 = e2
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10293)  op(e1, e2) = e2
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10294)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10294) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10295)  all_56_0 = e1 & op(e3, e3) = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10295) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10296)  op(e3, e3) = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (9598), (10296), (function-axioms) are
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1525.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10297)  all_56_1 = e1 & op(e3, e2) = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10297) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10298)  all_56_1 = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10299)  op(e3, e2) = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10300)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10286), (10292), (10300) are
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #198.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10301)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10301) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10302)  all_56_8 = e3 & op(e1, e1) = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10302) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10303)  op(e1, e1) = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10069), (10303), (function-axioms) are
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10304)  all_56_11 = e3 & op(e1, e0) = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10304) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10305)  all_56_11 = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10306)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10306) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10307)  all_56_9 = e1 & op(e3, e0) = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10307) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10308)  all_56_9 = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10309)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10309) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10310)  all_56_1 = e0 & op(e3, e2) = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10298), (10310) are inconsistent by
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1581.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10311)  all_56_3 = e0 & op(e2, e2) = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10311) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10312)  op(e2, e2) = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10274), (10312), (function-axioms) are
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1310.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10313)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10313) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10314)  all_56_7 = e0 & op(e1, e2) = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10062), (10314), (function-axioms) are
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1199.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10315)  all_56_13 = e0 & op(e0, e2) = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10315) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10316)  all_56_13 = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10317)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10317) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10318)  all_56_1 = e3 & op(e3, e2) = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10318) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10319)  op(e3, e2) = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10299), (10319), (function-axioms) are
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1579.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10320)  all_56_3 = e3 & op(e2, e2) = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10320) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10321)  op(e2, e2) = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10274), (10321), (function-axioms) are
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10322)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10322) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10323)  all_56_7 = e3 & op(e1, e2) = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (162), (212), (213),
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (9590), (10062), (10277), (10278), (10286),
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10292), (10305), (10308), (10323),
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #192.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10324)  all_56_13 = e3 & op(e0, e2) = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10324) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10325)  all_56_13 = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10316), (10325) are inconsistent by
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #783.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10326)  all_56_10 = e1 & op(e2, e0) = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10326) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10327)  op(e2, e0) = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10272), (10327), (function-axioms) are
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1273.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10328)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (387), (10305), (10328),
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1110.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10329)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10329) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10330)  all_56_4 = e1 & op(e3, e1) = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10330) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10331)  op(e3, e1) = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (262), (10065), (10095), (10331),
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1258.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10332)  all_56_9 = e1 & op(e3, e0) = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10332) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10333)  all_56_9 = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10334)  op(e3, e0) = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10335)  all_56_15 = e0 & op(e0, e0) = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10335) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10336)  op(e0, e0) = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10336), (function-axioms) are
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10337)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10337) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10338)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10339)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10339) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10340)  all_56_9 = e0 & op(e3, e0) = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10333), (10340) are inconsistent by
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1505.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10341)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10341) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10342)  all_56_10 = e0 & op(e2, e0) = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10342) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10343)  op(e2, e0) = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10344)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10277), (10278), (10333), (10344),
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #196.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10345)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10345) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10346)  all_56_11 = e3 & op(e1, e0) = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10346) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10347)  all_56_11 = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10348)  op(e1, e0) = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10349)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10349) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10350)  all_56_0 = e0 & op(e3, e3) = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10350) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10351)  op(e3, e3) = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (10351), (function-axioms) are
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10352)  all_56_1 = e0 & op(e3, e2) = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10352) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10353)  op(e3, e2) = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10354)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10354) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10355)  all_56_1 = e3 & op(e3, e2) = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10355) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10356)  op(e3, e2) = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10353), (10356), (function-axioms) are
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #218.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10357)  all_56_3 = e3 & op(e2, e2) = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10357) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10358)  op(e2, e2) = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10274), (10358), (function-axioms) are
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10359)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10359) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10360)  all_56_7 = e3 & op(e1, e2) = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (162), (212), (213),
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (9590), (10062), (10277), (10278), (10286),
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10292), (10333), (10347), (10360),
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #192.
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10361)  all_56_13 = e3 & op(e0, e2) = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10361) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10362)  all_56_13 = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10338) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10363)  all_56_12 = e0 & op(e0, e3) = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10363) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10364)  op(e0, e3) = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (10364) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10365)  all_52_3 = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, e1, simplifying with (160), (10348) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10366)  all_52_14 = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (10293) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10367)  all_52_6 = e2
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_28_1, e2, e1, simplifying with (162), (10282)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10368)  all_52_6 = all_28_1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (10287) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10369)  all_52_2 = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e0, e2, simplifying with (164), (10343) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10370)  all_52_13 = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_22_1, e0, e2, simplifying with (164), (10278)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10371)  all_52_13 = all_22_1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e3, simplifying with (168), (10334) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10372)  all_52_12 = e1
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (10353) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10373)  all_52_4 = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10367), (10368) imply:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10374)  all_28_1 = e2
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10374) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10375)  all_28_1 = e2
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10370), (10371) imply:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10376)  all_22_1 = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10376) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10377)  all_22_1 = e0
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (10373) imply:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10378)   ~ (all_4_2 = e0)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10272), (10370) imply:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10379)   ~ (e1 = e0)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10281), (10375) imply:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10380)   ~ (e3 = e2)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10381)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10381) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10382)  all_57_28 = e3 & op(e3, e3) = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10382) implies:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10383)  all_57_28 = e3
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10384)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10384) gives:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10385)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10385) gives:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10386)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10386) implies:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10387)  op(e3, e2) = e3
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10353), (10387), (function-axioms) are
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #218.
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10388)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10388) implies:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10389)  all_57_17 = e3
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10390)   ~ (all_57_28 = e1)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10391)  op(e1, e3) = e3
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10392)  op(e3, e3) = all_57_28
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10393)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10393) gives:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10394)  all_57_28 = e1 & op(e3, e3) = e1
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10394) implies:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10395)  op(e3, e3) = e1
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10390), (10392), (10395), (function-axioms) are
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1030.
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10396)  all_57_29 = e1 & op(e2, e2) = e1
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e3,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, simplifying with (10287), (10391) gives:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10397)  e3 = e1
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10362), (10397) imply:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10398)  all_56_13 = e1
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (162), (225), (228), (10062),
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10274), (10292), (10398), (function-axioms) are
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1031.
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10399)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & $i(all_57_17))
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10399) gives:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10400)  all_57_30 = e1 & op(e1, e1) = e1
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10400) implies:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10401)  op(e1, e1) = e1
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (165),
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (217), (219), (220), (387), (10064),
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10098), (10362), (10401), (function-axioms) are
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #191.
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10402)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_17))
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10389), (10402), (function-axioms)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1040.
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10403)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10403) gives:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10404)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10334), (10364), (10404), (function-axioms)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #206.
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10405)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10405) implies:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10406)  op(e3, e2) = e2
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10353), (10406), (function-axioms) are
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #190.
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10407)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10407) gives:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10408)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (10274), (10408), (function-axioms)
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1027.
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10409)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10409) gives:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10410)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10410) implies:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10411)  op(e3, e1) = e1
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (262), (10065), (10095), (10411),
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1258.
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10412)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10412) gives:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10413)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10413) implies:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10414)  op(e2, e1) = e1
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10101), (10414), (function-axioms) are
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10415)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10415) implies:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10416)  op(e0, e1) = all_57_27
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10417)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10417) gives:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10418)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10418) implies:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10419)   ~ (all_57_30 = e0)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10420)  op(e1, e0) = e1
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10421)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (10274), (10421),
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1301.
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10422)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_24 & $i(all_57_24))
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10422) gives:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10423)  all_57_30 = e0 & op(e1, e1) = e0
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10423) implies:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10424)  all_57_30 = e0
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10419), (10424) imply:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10425)  $false
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10425) is inconsistent.
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10426)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24))
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10420), (10426), (function-axioms)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #189.
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10427)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10427) implies:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10428)   ~ (all_57_14 = e1)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10429)  op(e0, all_57_27) = all_57_14
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (10113),
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (10416) gives:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10430)  all_57_27 = e1
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10429), (10430) imply:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10431)  op(e0, e1) = all_57_14
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10113), (10428), (10431), (function-axioms) are
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1177.
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10432)  all_57_29 = e3 & op(e2, e2) = e3
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10432) implies:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10433)  op(e2, e2) = e3
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10274), (10433), (function-axioms) are
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10434)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & $i(all_57_25))
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10434) gives:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10435)  all_57_30 = e3 & op(e1, e1) = e3
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10435) implies:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10436)  op(e1, e1) = e3
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10069), (10436), (function-axioms) are
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10437)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_25))
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10437) gives:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10438)  all_57_31 = e3 & op(e0, e0) = e3
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10438) implies:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10439)  op(e0, e0) = e3
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (10439), (function-axioms) are
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10440)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_25)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10440) implies:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10441)   ~ (all_57_25 = e0)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10442)  op(e0, e3) = all_57_25
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10364), (10441), (10442), (function-axioms) are
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #188.
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10443)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (10113), (10362), (10443),
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #201.
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10444)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10444) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10445)  all_56_4 = e0 & op(e3, e1) = e0
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10445) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10446)  all_56_4 = e0
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10447)  op(e3, e1) = e0
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10448)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10448) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10449)  all_56_4 = e2 & op(e3, e1) = e2
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10449) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10450)  all_56_4 = e2
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10446), (10450) are inconsistent by
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1394.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10451)  all_56_5 = e2 & op(e2, e1) = e2
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10451) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10452)  op(e2, e1) = e2
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10453)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10453) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10454)  all_56_2 = e3 & op(e2, e3) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10454) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10455)  op(e2, e3) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10456)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (10455), (10456),
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1595.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10457)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10457) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10458)  all_56_6 = e0 & op(e1, e3) = e0
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10061), (10458), (function-axioms) are
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1197.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10459)  all_56_12 = e0 & op(e0, e3) = e0
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10459) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10460)  op(e0, e3) = e0
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10461)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (169), (10447), (10452), (10461),
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1004.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10462)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10462) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10463)  all_56_8 = e3 & op(e1, e1) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10463) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10464)  op(e1, e1) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10069), (10464), (function-axioms) are
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10465)  all_56_14 = e3 & op(e0, e1) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10465) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10466)  all_56_14 = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (39), (158), (207), (387), (10080),
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10082), (10085), (10086), (10090), (10460),
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10466), (function-axioms) are inconsistent by
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #185.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10467)  all_56_3 = e3 & op(e2, e2) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10467) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10468)  op(e2, e2) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10274), (10468), (function-axioms) are
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10469)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10469) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10470)  all_56_5 = e3 & op(e2, e1) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10470) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10471)  op(e2, e1) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10452), (10471), (function-axioms) are
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1297.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10472)  all_56_10 = e3 & op(e2, e0) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10472) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10473)  op(e2, e0) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10277), (10278), (10473), (function-axioms) are
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #197.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10474)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10474) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10475)  all_56_8 = e2 & op(e1, e1) = e2
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10475) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10476)  op(e1, e1) = e2
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10069), (10476), (function-axioms) are
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10477)  all_56_14 = e2 & op(e0, e1) = e2
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10477) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10478)  op(e0, e1) = e2
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10113), (10478), (function-axioms) are
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #862.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10479)  all_56_9 = e0 & op(e3, e0) = e0
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10333), (10479) are inconsistent by
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1505.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10480)  all_56_15 = e3 & op(e0, e0) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10480) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10481)  op(e0, e0) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (10481), (function-axioms) are
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10482)  all_56_11 = e0 & op(e1, e0) = e0
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10482) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10483)  op(e1, e0) = e0
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10066), (10483), (function-axioms) are
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1318.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10484)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e0) = e2)
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10484) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10485)  all_56_8 = e2 & op(e1, e1) = e2
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10485) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10486)  op(e1, e1) = e2
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10069), (10486), (function-axioms) are
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10487)  all_56_11 = e2 & op(e1, e0) = e2
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10487) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10488)  all_56_11 = e2
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10489)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10489) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10490)  all_56_0 = e1 & op(e3, e3) = e1
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10490) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10491)  op(e3, e3) = e1
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (164),
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (169), (210), (230), (234), (236), (386), (387),
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10272), (10488), (10491), (function-axioms) are
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1023.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10492)  all_56_1 = e1 & op(e3, e2) = e1
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10492) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10493)  op(e3, e2) = e1
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10494)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10274), (10493), (10494), (function-axioms)
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #184.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10495)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10495) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10496)  all_56_7 = e2 & op(e1, e2) = e2
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10496) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10497)  all_56_7 = e2
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (162), (213), (216),
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10062), (10286), (10488), (10497),
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #194.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10498)  all_56_13 = e2 & op(e0, e2) = e2
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10498) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10499)  op(e0, e2) = e2
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (10499), (function-axioms) are
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10500)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10500) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10501)  all_56_4 = e1 & op(e3, e1) = e1
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10501) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10502)  op(e3, e1) = e1
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (262), (10065), (10095), (10502),
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1258.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10503)  all_56_9 = e1 & op(e3, e0) = e1
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10503) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10504)  all_56_9 = e1
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10505)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10505) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10506)  all_56_6 = e3 & op(e1, e3) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10506) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10507)  all_56_6 = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10286), (10507) are inconsistent by
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1546.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10508)  all_56_7 = e3 & op(e1, e2) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10508) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10509)  all_56_7 = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (162), (212), (213),
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (9590), (10062), (10277), (10278), (10286),
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10488), (10504), (10509), (function-axioms) are
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #193.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10510)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (162), (213), (10062),
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10286), (10488), (10510), (function-axioms) are
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #195.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | |   (10511)  all_56_12 = e1 & op(e0, e3) = e1
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10098), (10511), (function-axioms) are
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1106.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | |   (10512)  all_54_14 = e0
% 180.03/27.53  | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10080), (10512) imply:
% 180.03/27.53  | | | | | | | | | | | | | | | | | |   (10513)  all_44_1 = e0
% 180.03/27.53  | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | REDUCE: (10086), (10513) imply:
% 180.03/27.53  | | | | | | | | | | | | | | | | | |   (10514)  $false
% 180.03/27.53  | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | CLOSE: (10514) is inconsistent.
% 180.03/27.53  | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | End of split
% 180.03/27.53  | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | |   (10515)  all_18_2 = e1
% 180.03/27.53  | | | | | | | | | | |   (10516)  ( ~ (all_18_0 = e0) & op(e1, e1) = all_18_0 &
% 180.03/27.53  | | | | | | | | | | |              $i(all_18_0)) | ( ~ (all_18_1 = e2) & op(e1, e3)
% 180.03/27.53  | | | | | | | | | | |              = all_18_1 & $i(all_18_1))
% 180.03/27.53  | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | COMBINE_EQS: (342), (10515) imply:
% 180.03/27.53  | | | | | | | | | | |   (10517)  all_4_2 = e1
% 180.03/27.53  | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | REDUCE: (351), (10517) imply:
% 180.03/27.53  | | | | | | | | | | |   (10518)   ~ (all_52_1 = e1)
% 180.03/27.53  | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | REDUCE: (353), (10517) imply:
% 180.03/27.53  | | | | | | | | | | |   (10519)   ~ (all_52_2 = e1)
% 180.03/27.53  | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | REDUCE: (355), (10517) imply:
% 180.03/27.53  | | | | | | | | | | |   (10520)   ~ (all_52_3 = e1)
% 180.03/27.53  | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | REDUCE: (359), (10517) imply:
% 180.03/27.53  | | | | | | | | | | |   (10521)   ~ (all_52_8 = e1)
% 180.03/27.53  | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | BETA: splitting (231) gives:
% 180.03/27.53  | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | |   (10522)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 180.03/27.53  | | | | | | | | | | | |              & op(e2, e3) = e1)
% 180.03/27.53  | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | BETA: splitting (10522) gives:
% 180.03/27.53  | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | |   (10523)  all_56_0 = e1 & op(e3, e3) = e1
% 180.03/27.53  | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | ALPHA: (10523) implies:
% 180.03/27.53  | | | | | | | | | | | | |   (10524)  all_56_0 = e1
% 180.03/27.53  | | | | | | | | | | | | |   (10525)  op(e3, e3) = e1
% 180.03/27.53  | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | BETA: splitting (253) gives:
% 180.03/27.53  | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | |   (10526)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.03/27.53  | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 180.03/27.53  | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (9591), (10525), (10526),
% 180.03/27.53  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.53  | | | | | | | | | | | | | |            #182.
% 180.03/27.53  | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | |   (10527)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.03/27.53  | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 180.03/27.53  | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & $i(all_57_19))
% 180.03/27.53  | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | BETA: splitting (10527) gives:
% 180.03/27.53  | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | |   (10528)  all_57_30 = e3 & op(e1, e1) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | ALPHA: (10528) implies:
% 180.03/27.53  | | | | | | | | | | | | | | |   (10529)  op(e1, e1) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | REF_CLOSE: (51), (9596), (10529), (function-axioms) are
% 180.03/27.53  | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 180.03/27.53  | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | |   (10530)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.03/27.53  | | | | | | | | | | | | | | |              (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 180.03/27.53  | | | | | | | | | | | | | | |              $i(all_57_19))
% 180.03/27.53  | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | BETA: splitting (10530) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | |   (10531)  all_57_31 = e3 & op(e0, e0) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | ALPHA: (10531) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | |   (10532)  op(e0, e0) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (10532), (function-axioms) are
% 180.03/27.53  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.03/27.53  | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | |   (10533)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 180.03/27.53  | | | | | | | | | | | | | | | |            $i(all_57_19)
% 180.03/27.53  | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | ALPHA: (10533) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | |   (10534)   ~ (all_57_19 = e2)
% 180.03/27.53  | | | | | | | | | | | | | | | |   (10535)  op(e2, e3) = all_57_19
% 180.03/27.53  | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | |   (10536)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.03/27.53  | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 180.03/27.53  | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (9591), (10525), (10536),
% 180.03/27.53  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.53  | | | | | | | | | | | | | | | | |            #182.
% 180.03/27.53  | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.53  | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | |   (10537)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.03/27.53  | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 180.03/27.53  | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_22 & $i(all_57_22))
% 180.03/27.53  | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | BETA: splitting (10537) gives:
% 180.03/27.53  | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.53  | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | |   (10538)  all_57_30 = e3 & op(e1, e1) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | 
% 180.03/27.53  | | | | | | | | | | | | | | | | | | ALPHA: (10538) implies:
% 180.03/27.53  | | | | | | | | | | | | | | | | | |   (10539)  op(e1, e1) = e3
% 180.03/27.53  | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (9596), (10539), (function-axioms) are
% 180.03/27.54  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | |   (10540)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.03/27.54  | | | | | | | | | | | | | | | | | |              (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 180.03/27.54  | | | | | | | | | | | | | | | | | |              $i(all_57_22))
% 180.03/27.54  | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | BETA: splitting (10540) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | |   (10541)  all_57_31 = e3 & op(e0, e0) = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | ALPHA: (10541) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | |   (10542)  op(e0, e0) = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (10542), (function-axioms) are
% 180.03/27.54  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | |   (10543)   ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 180.03/27.54  | | | | | | | | | | | | | | | | | | |            $i(all_57_22)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | ALPHA: (10543) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | |   (10544)   ~ (all_57_22 = e1)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | |   (10545)  op(e1, e3) = all_57_22
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | |   (10546)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (9591), (10525), (10546),
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | |            #182.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | |   (10547)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & $i(all_57_25))
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | BETA: splitting (10547) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | |   (10548)  all_57_30 = e3 & op(e1, e1) = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | ALPHA: (10548) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | |   (10549)  op(e1, e1) = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (9596), (10549), (function-axioms) are
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | |   (10550)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | |              (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_25))
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10550) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | |   (10551)  all_57_31 = e3 & op(e0, e0) = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10551) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | |   (10552)  op(e0, e0) = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (10552), (function-axioms) are
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | |   (10553)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_25)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10553) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | |   (10554)   ~ (all_57_25 = e0)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | |   (10555)  op(e0, e3) = all_57_25
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | |   (10556)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (9591), (10525), (10556),
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | |            #182.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | |   (10557)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & $i(all_57_28))
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10557) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | |   (10558)  all_57_30 = e3 & op(e1, e1) = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10558) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | |   (10559)  op(e1, e1) = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (9596), (10559), (function-axioms) are
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | |   (10560)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28))
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10560) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (10561)  all_57_31 = e3 & op(e0, e0) = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10561) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (10562)  op(e0, e0) = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (10562), (function-axioms) are
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (10563)   ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10563) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (10564)  op(e3, e3) = all_57_28
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25, e3, e0, simplifying with (159), (10555)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (10565)  all_57_25 = all_52_3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22, e3, e1, simplifying with (163), (10545)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (10566)  all_57_22 = all_52_2
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19, e3, e2, simplifying with (167), (10535)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (10567)  all_57_19 = all_52_1
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28, e3, e3, simplifying with (10525),
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |              (10564) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (10568)  all_57_28 = e1
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10534), (10567) imply:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (10569)   ~ (all_52_1 = e2)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10554), (10565) imply:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (10570)   ~ (all_52_3 = e0)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10571)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10571) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10572)  all_56_0 = e2 & op(e3, e3) = e2
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10572) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10573)  op(e3, e3) = e2
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10525), (10573), (function-axioms) are
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10574)  all_56_2 = e2 & op(e2, e3) = e2
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10574) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10575)  op(e2, e3) = e2
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10534), (10535), (10575), (function-axioms) are
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #180.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10576)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10576) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10577)  all_56_6 = e2 & op(e1, e3) = e2
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10577) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10578)  all_56_6 = e2
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10579)  all_54_12 = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (10579) imply:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10580)  all_52_3 = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10580) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10581)  all_52_3 = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10565), (10581) imply:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10582)  all_57_25 = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (10581) imply:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10583)   ~ (all_52_1 = e3)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (10581) imply:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10584)   ~ (all_52_2 = e3)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (10581) imply:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10585)   ~ (all_52_11 = e3)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10585) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10586)   ~ (all_52_11 = e3)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10587)  all_54_4 = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (10583), (10587) are inconsistent by
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1078.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10588)   ~ (all_54_4 = e3)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10589)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10590)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10590) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10591)  all_56_0 = e0 & op(e3, e3) = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10591) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10592)  op(e3, e3) = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (10592), (function-axioms) are
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10593)  all_56_2 = e0 & op(e2, e3) = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10593) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10594)  all_56_2 = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10589) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10595)  all_54_4 = e2
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (10569), (10595) are inconsistent by
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1084.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10596)   ~ (all_54_4 = e2)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10597)  all_54_4 = e1 | all_54_4 = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10597) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10598)  all_54_4 = e1
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (10518), (10598) are inconsistent by
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1083.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10599)  all_54_4 = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (10599) imply:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10600)  all_52_1 = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10600) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10601)  all_52_1 = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (10601) imply:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10602)   ~ (all_52_2 = e0)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10602) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10603)   ~ (all_52_2 = e0)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (10601) imply:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10604)   ~ (all_10_2 = e0)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10583), (10601) imply:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10605)   ~ (e3 = e0)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10569), (10601) imply:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10606)   ~ (e2 = e0)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10518), (10601) imply:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10607)   ~ (e1 = e0)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10608)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10608) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10609)  all_56_12 = e3 & op(e0, e3) = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10609) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10610)  all_56_12 = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10611)  all_54_8 = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (10584), (10611) are inconsistent by
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1243.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10612)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10612) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10613)  all_54_8 = e2
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (10613) imply:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10614)  all_52_2 = e2
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10614) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10615)  all_52_2 = e2
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (10615) imply:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10616)   ~ (all_52_6 = e2)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10616) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10617)   ~ (all_52_6 = e2)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (10615) imply:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10618)   ~ (all_14_2 = e2)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (10615) imply:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10619)  op(e1, e3) = e2
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10516) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10620)   ~ (all_18_0 = e0) & op(e1, e1) = all_18_0 &
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_18_0)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10620) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10621)   ~ (all_18_0 = e0)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10622)  op(e1, e1) = all_18_0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_18_0, e1, e1, simplifying with (51), (10622)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10623)  all_18_0 = all_14_2
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10621), (10623) imply:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10624)   ~ (all_14_2 = e0)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10625)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10625),
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1622.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10626)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & $i(all_57_18))
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10626) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10627)  all_57_30 = e0 & op(e1, e1) = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10627) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10628)  op(e1, e1) = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10621), (10622), (10628), (function-axioms) are
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1042.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10629)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_18))
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10629) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10630)  all_57_31 = e0 & op(e0, e0) = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10630) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10631)  op(e0, e0) = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10631), (function-axioms) are
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10632)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_18)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10632) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10633)   ~ (all_57_18 = e3)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10634)  all_54_10 = e3
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (9596), (10634) are inconsistent by
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1621.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10635)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10636)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10636),
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1622.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10637)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_24 & $i(all_57_24))
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10637) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10638)  all_57_30 = e0 & op(e1, e1) = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10638) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10639)  op(e1, e1) = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10621), (10622), (10639), (function-axioms) are
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1042.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10640)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24))
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10640) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10641)  all_57_31 = e0 & op(e0, e0) = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10641) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10642)  op(e0, e0) = e0
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10642), (function-axioms) are
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10643)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10643) implies:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10644)   ~ (all_57_24 = e1)
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10645)  op(e1, e0) = all_57_24
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10646)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10646) gives:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10647)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10647) gives:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10648)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10648) implies:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10649)  op(e2, e3) = e3
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (284), (10518), (10583), (10597), (10649),
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1082.
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10650)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10650) implies:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10651)   ~ (all_57_28 = e1)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10525), (10564), (10651), (function-axioms) are
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1030.
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10652)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10652) gives:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10653)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10653) implies:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10654)  all_57_18 = e3
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10633), (10654) imply:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10655)  $false
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10655) is inconsistent.
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10656)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10656) implies:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10657)  op(e2, e3) = e2
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (36), (229), (386), (10578), (10610),
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10657), (function-axioms) are inconsistent by
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1010.
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10658)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10658) gives:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10659)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (9571), (10617), (10659),
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1612.
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10660)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10660) gives:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10661)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10661) implies:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10662)  op(e3, e1) = e1
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10521), (10662), (function-axioms) are
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10663)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10663) gives:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10664)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10664) implies:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10665)  op(e2, e1) = e1
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (349), (377), (9594), (10624), (10635),
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10665), (function-axioms) are inconsistent by
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #179.
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10666)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10666) implies:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10667)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10582), (10644), (10645), (10667),
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #177.
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10668)   ~ (all_18_1 = e2) & op(e1, e3) = all_18_1 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_18_1)
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10668) implies:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10669)   ~ (all_18_1 = e2)
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10670)  op(e1, e3) = all_18_1
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_18_1,
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (10619), (10670) gives:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10671)  all_18_1 = e2
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10669), (10671) imply:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10672)  $false
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10672) is inconsistent.
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10673)  all_54_8 = e1 | all_54_8 = e0
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (10519), (10603), (10673) are inconsistent
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1079.
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10674)  all_56_13 = e3 & op(e0, e2) = e3
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10674) implies:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10675)  all_56_13 = e3
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10676)  all_56_15 = e0 & op(e0, e0) = e0
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10676) implies:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10677)  op(e0, e0) = e0
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10677), (function-axioms) are
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10678)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10678) implies:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10679)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10679) gives:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10680)  all_56_12 = e0 & op(e0, e3) = e0
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10680) implies:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10681)  op(e0, e3) = e0
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10554), (10555), (10681), (function-axioms) are
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #188.
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10682)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10682) gives:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10683)  all_56_13 = e0 & op(e0, e2) = e0
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10675), (10683) are inconsistent by
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1421.
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10684)  all_56_14 = e0 & op(e0, e1) = e0
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10684) implies:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10685)  op(e0, e1) = e0
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10686)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10686) gives:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10687)  all_56_12 = e1 & op(e0, e3) = e1
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10687) implies:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10688)  all_56_12 = e1
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10689)  op(e0, e3) = e1
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (159), (233), (235),
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10524), (10594), (10688), (10689),
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #509.
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10690)  all_56_13 = e1 & op(e0, e2) = e1
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10675), (10690) are inconsistent by
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1460.
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10691)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (387), (10685), (10691),
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #702.
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10692)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10692) gives:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10693)  all_56_14 = e3 & op(e0, e1) = e3
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (10586), (10693), (function-axioms) are
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #176.
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10694)  all_56_15 = e3 & op(e0, e0) = e3
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10694) implies:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10695)  op(e0, e0) = e3
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (10695), (function-axioms) are
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10696)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10696) gives:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10697)  all_56_6 = e0 & op(e1, e3) = e0
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10697) implies:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10698)  all_56_6 = e0
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10578), (10698) are inconsistent by
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1592.
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10699)  all_56_12 = e0 & op(e0, e3) = e0
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10699) implies:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10700)  op(e0, e3) = e0
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10554), (10555), (10700), (function-axioms) are
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #188.
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10701)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9570), (10520), (10570), (10701) are
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #175.
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10702)  all_56_12 = e2 & op(e0, e3) = e2
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10702) implies:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10703)  op(e0, e3) = e2
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10704)  all_54_12 = e3
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (10704) imply:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10705)  all_52_3 = e3
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10705) implies:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10706)  all_52_3 = e3
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (10706) imply:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10707)  op(e0, e3) = e3
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10703), (10707), (function-axioms) are
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1039.
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10708)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9570), (10520), (10570), (10708) are
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #175.
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | |   (10709)  all_56_2 = e1 & op(e2, e3) = e1
% 180.03/27.56  | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | | REF_CLOSE: (167), (10518), (10709), (function-axioms) are
% 180.03/27.56  | | | | | | | | | | | | |            inconsistent by sub-proof #1352.
% 180.03/27.56  | | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | |   (10710)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 180.03/27.56  | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 180.03/27.56  | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | REF_CLOSE: (159), (163), (10519), (10520), (10710),
% 180.03/27.56  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.56  | | | | | | | | | | | |            #174.
% 180.03/27.56  | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | End of split
% 180.03/27.56  | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | |   (10711)  all_16_2 = e3
% 180.03/27.56  | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | COMBINE_EQS: (338), (10711) imply:
% 180.03/27.56  | | | | | | | | | |   (10712)  all_14_2 = e3
% 180.03/27.56  | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | SIMP: (10712) implies:
% 180.03/27.56  | | | | | | | | | |   (10713)  all_14_2 = e3
% 180.03/27.56  | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | REDUCE: (376), (10713) imply:
% 180.03/27.56  | | | | | | | | | |   (10714)   ~ (all_52_8 = e3)
% 180.03/27.56  | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | REDUCE: (381), (10713) imply:
% 180.03/27.56  | | | | | | | | | |   (10715)   ~ (all_52_14 = e3)
% 180.03/27.56  | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | REDUCE: (51), (10713) imply:
% 180.03/27.56  | | | | | | | | | |   (10716)  op(e1, e1) = e3
% 180.03/27.56  | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | BETA: splitting (238) gives:
% 180.03/27.56  | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | Case 1:
% 180.03/27.56  | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | |   (10717)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.03/27.56  | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 180.03/27.56  | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10717),
% 180.03/27.56  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.56  | | | | | | | | | | |            #1622.
% 180.03/27.56  | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | |   (10718)  (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 180.03/27.56  | | | | | | | | | | |              all_57_31 & $i(all_57_31))
% 180.03/27.56  | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | BETA: splitting (10718) gives:
% 180.03/27.56  | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | Case 1:
% 180.03/27.56  | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | |   (10719)  all_57_30 = e0 & op(e1, e1) = e0
% 180.03/27.56  | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | ALPHA: (10719) implies:
% 180.03/27.56  | | | | | | | | | | | |   (10720)  op(e1, e1) = e0
% 180.03/27.56  | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | | REF_CLOSE: (7), (10716), (10720), (function-axioms) are
% 180.03/27.56  | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 180.03/27.56  | | | | | | | | | | | | 
% 180.03/27.56  | | | | | | | | | | | Case 2:
% 180.03/27.56  | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | |   (10721)  op(e0, e0) = all_57_31 & $i(all_57_31)
% 180.03/27.57  | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | ALPHA: (10721) implies:
% 180.03/27.57  | | | | | | | | | | | |   (10722)  op(e0, e0) = all_57_31
% 180.03/27.57  | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | BETA: splitting (241) gives:
% 180.03/27.57  | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | Case 1:
% 180.03/27.57  | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | |   (10723)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.03/27.57  | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 180.03/27.57  | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10723),
% 180.03/27.57  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.57  | | | | | | | | | | | | |            #1622.
% 180.03/27.57  | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | Case 2:
% 180.03/27.57  | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | |   (10724)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 180.03/27.57  | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 180.03/27.57  | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & $i(all_57_18))
% 180.03/27.57  | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | BETA: splitting (10724) gives:
% 180.03/27.57  | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | Case 1:
% 180.03/27.57  | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | |   (10725)  all_57_30 = e0 & op(e1, e1) = e0
% 180.03/27.57  | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | ALPHA: (10725) implies:
% 180.03/27.57  | | | | | | | | | | | | | |   (10726)  op(e1, e1) = e0
% 180.03/27.57  | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | REF_CLOSE: (7), (10716), (10726), (function-axioms) are
% 180.03/27.57  | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 180.03/27.57  | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | Case 2:
% 180.03/27.57  | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | |   (10727)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 180.03/27.57  | | | | | | | | | | | | | |              (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 180.03/27.57  | | | | | | | | | | | | | |              $i(all_57_18))
% 180.03/27.57  | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | BETA: splitting (10727) gives:
% 180.03/27.57  | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | Case 1:
% 180.03/27.57  | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | |   (10728)  all_57_31 = e0 & op(e0, e0) = e0
% 180.03/27.57  | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | ALPHA: (10728) implies:
% 180.03/27.57  | | | | | | | | | | | | | | |   (10729)  op(e0, e0) = e0
% 180.03/27.57  | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10729), (function-axioms) are
% 180.03/27.57  | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 180.03/27.57  | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | Case 2:
% 180.03/27.57  | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | |   (10730)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 180.03/27.57  | | | | | | | | | | | | | | |            $i(all_57_18)
% 180.03/27.57  | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | ALPHA: (10730) implies:
% 180.03/27.57  | | | | | | | | | | | | | | |   (10731)   ~ (all_57_18 = e3)
% 180.03/27.57  | | | | | | | | | | | | | | |   (10732)  op(e3, e0) = all_57_18
% 180.03/27.57  | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 180.03/27.57  | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57  | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | |   (10733)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.03/27.57  | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 180.03/27.57  | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10733),
% 180.03/27.57  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.57  | | | | | | | | | | | | | | | |            #1622.
% 180.03/27.57  | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57  | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | |   (10734)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 180.03/27.57  | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 180.03/27.57  | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_21 & $i(all_57_21))
% 180.03/27.57  | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | BETA: splitting (10734) gives:
% 180.03/27.57  | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57  | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | |   (10735)  all_57_30 = e0 & op(e1, e1) = e0
% 180.03/27.57  | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | ALPHA: (10735) implies:
% 180.03/27.57  | | | | | | | | | | | | | | | | |   (10736)  op(e1, e1) = e0
% 180.03/27.57  | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10716), (10736), (function-axioms) are
% 180.03/27.57  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 180.03/27.57  | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57  | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | |   (10737)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 180.03/27.57  | | | | | | | | | | | | | | | | |              (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 180.03/27.57  | | | | | | | | | | | | | | | | |              $i(all_57_21))
% 180.03/27.57  | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | BETA: splitting (10737) gives:
% 180.03/27.57  | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | |   (10738)  all_57_31 = e0 & op(e0, e0) = e0
% 180.03/27.57  | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | ALPHA: (10738) implies:
% 180.03/27.57  | | | | | | | | | | | | | | | | | |   (10739)  op(e0, e0) = e0
% 180.03/27.57  | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10739), (function-axioms) are
% 180.03/27.57  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 180.03/27.57  | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | |   (10740)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 180.03/27.57  | | | | | | | | | | | | | | | | | |            $i(all_57_21)
% 180.03/27.57  | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | ALPHA: (10740) implies:
% 180.03/27.57  | | | | | | | | | | | | | | | | | |   (10741)   ~ (all_57_21 = e2)
% 180.03/27.57  | | | | | | | | | | | | | | | | | |   (10742)  op(e2, e0) = all_57_21
% 180.03/27.57  | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | |   (10743)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.03/27.57  | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10743),
% 180.03/27.57  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.03/27.57  | | | | | | | | | | | | | | | | | | |            #1622.
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | |   (10744)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 180.03/27.57  | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 180.03/27.57  | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_24 & $i(all_57_24))
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | BETA: splitting (10744) gives:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | |   (10745)  all_57_30 = e0 & op(e1, e1) = e0
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | ALPHA: (10745) implies:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | |   (10746)  op(e1, e1) = e0
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10716), (10746), (function-axioms) are
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | |   (10747)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | |              (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | |              $i(all_57_24))
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | BETA: splitting (10747) gives:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |   (10748)  all_57_31 = e0 & op(e0, e0) = e0
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | ALPHA: (10748) implies:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |   (10749)  op(e0, e0) = e0
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10749), (function-axioms) are
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |   (10750)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24)
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | ALPHA: (10750) implies:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |   (10751)   ~ (all_57_24 = e1)
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |   (10752)  op(e1, e0) = all_57_24
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |              all_57_31, e0, e0, simplifying with (9590),
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |              (10722) gives:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |   (10753)  all_57_31 = e2
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |              all_57_24, e0, e1, simplifying with (160), (10752)
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |   (10754)  all_57_24 = all_52_14
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |              all_57_21, e0, e2, simplifying with (164), (10742)
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |   (10755)  all_57_21 = all_52_13
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |              all_57_18, e0, e3, simplifying with (168), (10732)
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |   (10756)  all_57_18 = all_52_12
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | REDUCE: (10731), (10756) imply:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |   (10757)   ~ (all_52_12 = e3)
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | REDUCE: (10751), (10754) imply:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | |   (10758)   ~ (all_52_14 = e1)
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | |   (10759)  all_54_11 = e3
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (10715), (10759) are inconsistent by
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1336.
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | |   (10760)   ~ (all_54_11 = e3)
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | |   (10761)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | |   (10762)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10762) gives:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | |   (10763)  all_56_9 = e3 & op(e3, e0) = e3
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10763) implies:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | |   (10764)  op(e3, e0) = e3
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10757), (10764), (function-axioms) are
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | |   (10765)  all_56_10 = e3 & op(e2, e0) = e3
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10765) implies:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | |   (10766)  all_56_10 = e3
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | |   (10767)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10767) gives:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10768)  all_56_9 = e1 & op(e3, e0) = e1
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10768) implies:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10769)  all_56_9 = e1
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10770)  all_56_15 = e0 & op(e0, e0) = e0
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10770) implies:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10771)  op(e0, e0) = e0
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10771), (function-axioms) are
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10772)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10772) implies:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10773)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10773) gives:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10774)  all_56_9 = e0 & op(e3, e0) = e0
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10774) implies:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10775)  all_56_9 = e0
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (39), (160), (210), (387), (10758),
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10766), (10775), (function-axioms) are
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1483.
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10776)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 180.03/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10776) gives:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10777)  all_56_10 = e0 & op(e2, e0) = e0
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10766), (10777) are inconsistent by
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #217.
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10778)  all_56_11 = e0 & op(e1, e0) = e0
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10778) implies:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10779)  all_56_11 = e0
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10761) gives:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10780)  all_54_11 = e2
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (9575), (10780) are inconsistent by
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1115.
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10781)  all_54_11 = e1 | all_54_11 = e0
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10781) gives:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10782)  all_54_11 = e1
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (10758), (10782) are inconsistent by
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1114.
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10783)  all_54_11 = e0
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (10783) imply:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10784)  all_52_14 = e0
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10784) implies:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10785)  all_52_14 = e0
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10754), (10785) imply:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10786)  all_57_24 = e0
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (10785) imply:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10787)   ~ (all_52_12 = e0)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (10785) imply:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10788)   ~ (all_52_13 = e0)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10789)  all_54_3 = e3
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (10757), (10789) are inconsistent by
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #809.
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10790)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10790) gives:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10791)  all_54_3 = e2
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (9573), (10791) are inconsistent by
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #748.
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10792)   ~ (all_54_3 = e2)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10793)  all_54_3 = e1 | all_54_3 = e0
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10793) gives:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10794)  all_54_3 = e1
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (10794) imply:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10795)  all_52_12 = e1
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10795) implies:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10796)  all_52_12 = e1
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (10796) imply:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10797)   ~ (all_52_8 = e1)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10796) imply:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10798)   ~ (all_52_13 = e1)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10798) implies:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10799)   ~ (all_52_13 = e1)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (10796) imply:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10800)   ~ (all_4_2 = e1)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10800) implies:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10801)   ~ (all_4_2 = e1)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (10796) imply:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10802)  op(e3, e0) = e1
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10803)  all_54_7 = e3
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (10803) imply:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10804)  all_52_13 = e3
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (10804) imply:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10805)   ~ (all_52_1 = e3)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (10804) imply:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10806)   ~ (all_10_2 = e3)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (10804) imply:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10807)  op(e2, e0) = e3
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10808)   ~ (all_22_2 = e2)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9569), (10808) imply:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10809)  $false
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10809) is inconsistent.
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10810)  ( ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_22_0)) | ( ~ (all_22_1 = e3) & op(e2, e0)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_22_1 & $i(all_22_1))
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10810) gives:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10811)   ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_0)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10811) implies:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10812)   ~ (all_22_0 = e1)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10813)  op(e2, e2) = all_22_0
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2,
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_22_0, e2, e2, simplifying with (45), (10813)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10814)  all_22_0 = all_10_2
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10812), (10814) imply:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10815)   ~ (all_10_2 = e1)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10816)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (199), (283), (9591), (9593), (10801),
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10815), (10816), (function-axioms) are
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1269.
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10817)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_30 & $i(all_57_30))
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10817) gives:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10818)  all_57_30 = e1 & op(e1, e1) = e1
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10818) implies:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10819)  op(e1, e1) = e1
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10716), (10819), (function-axioms) are
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10820)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_30))
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10820) gives:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10821)  all_57_31 = e1 & op(e0, e0) = e1
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10821) implies:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10822)  op(e0, e0) = e1
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10822), (function-axioms) are
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10823)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10823) implies:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10824)   ~ (all_57_30 = e1)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10825)  op(e1, e1) = all_57_30
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10826)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (199), (283), (9591), (9593), (10801),
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10815), (10826), (function-axioms) are
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1269.
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10827)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_20 & $i(all_57_20))
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10827) gives:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10828)  all_57_30 = e1 & op(e1, e1) = e1
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10828) implies:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10829)  op(e1, e1) = e1
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10824), (10825), (10829), (function-axioms) are
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10830)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20))
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10830) gives:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10831)  all_57_31 = e1 & op(e0, e0) = e1
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10831) implies:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10832)  op(e0, e0) = e1
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10832), (function-axioms) are
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10833)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10833) implies:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10834)  op(e2, e1) = all_57_20
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10835)  all_54_5 = e3
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (9591), (10835) are inconsistent by
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1268.
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10836)   ~ (all_54_5 = e3)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10837)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10837) gives:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10838)  all_54_5 = e2
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (10838) imply:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10839)  all_10_2 = e2
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10839) implies:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10840)  all_10_2 = e2
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (10840) imply:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10841)   ~ (all_52_4 = e2)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (10840) imply:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10842)   ~ (all_52_6 = e2)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (10840) imply:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10843)   ~ (all_52_9 = e2)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9591), (10840) imply:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10844)   ~ (e3 = e2)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (10840) imply:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10845)  op(e2, e2) = e2
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10846)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e2)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10846) gives:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10847)  all_56_6 = e2 & op(e1, e3) = e2
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10847) implies:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10848)  all_56_6 = e2
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10849)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10849) gives:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10850)  all_56_4 = e2 & op(e3, e1) = e2
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10850) implies:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10851)  all_56_4 = e2
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10852)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10852) gives:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10853)  all_56_0 = e0 & op(e3, e3) = e0
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10853) implies:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10854)  op(e3, e3) = e0
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (10854), (function-axioms) are
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10855)  all_56_1 = e0 & op(e3, e2) = e0
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10855) implies:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10856)  all_56_1 = e0
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10857)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10857) gives:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10858)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (10714), (10805), (10858),
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #280.
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10859)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (168), (170), (197), (275), (9574),
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10788), (10799), (10841), (10859),
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #173.
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10860)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10860) gives:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10861)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (9571), (10834), (10843), (10861),
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1260.
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10862)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10862) gives:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10863)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10863) implies:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10864)  op(e3, e1) = e1
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10797), (10864), (function-axioms) are
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10865)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10865) gives:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10866)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10866) implies:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10867)   ~ (all_57_11 = e0)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10868)  op(e1, all_57_24) = all_57_11
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10752), (10786), (10867), (10868),
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #172.
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10869)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10869) implies:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10870)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10870) gives:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10871)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10871) implies:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10872)  op(e1, e0) = e1
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10751), (10752), (10872), (function-axioms) are
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1423.
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10873)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10873) implies:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10874)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10874) gives:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10875)  all_57_31 = e0
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10758), (10870), (10875),
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1583.
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10876)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10877)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10877) gives:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10878)  all_56_0 = e3 & op(e3, e3) = e3
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10878) implies:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10879)  op(e3, e3) = e3
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10880)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10880) gives:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10881)  all_57_28 = e1 & op(e3, e3) = e1
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10881) implies:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10882)  op(e3, e3) = e1
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10879), (10882), (function-axioms) are
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10883)  all_57_29 = e1 & op(e2, e2) = e1
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10883) implies:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10884)  op(e2, e2) = e1
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10845), (10884), (function-axioms) are
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10885)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = all_57_27 & $i(all_57_27))
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10885) gives:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10886)  all_57_30 = e1 & op(e1, e1) = e1
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10886) implies:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10887)  op(e1, e1) = e1
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10824), (10825), (10887), (function-axioms) are
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10888)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_27))
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10888) gives:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10889)  all_57_31 = e1 & op(e0, e0) = e1
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10889) implies:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10890)  op(e0, e0) = e1
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10890), (function-axioms) are
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10891)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_27)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10891) implies:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10892)   ~ (all_57_27 = e0)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10876) gives:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10893)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10893) implies:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10894)  op(e3, e0) = e0
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (160), (210), (265), (387), (10758),
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10766), (10769), (10781), (10802), (10894),
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #171.
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10895)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10788), (10892), (10895),
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #170.
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10896)  all_56_1 = e3 & op(e3, e2) = e3
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10896) implies:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10897)  all_56_1 = e3
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10856), (10897) are inconsistent by
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1573.
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10898)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10898) gives:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10899)  all_56_4 = e3 & op(e3, e1) = e3
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10899) implies:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10900)  op(e3, e1) = e3
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10714), (10900), (function-axioms) are
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10901)  all_56_9 = e3 & op(e3, e0) = e3
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10901) implies:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10902)  op(e3, e0) = e3
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (168), (197), (275), (9574), (10788),
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10799), (10902), (function-axioms) are
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #943.
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10903)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10903) gives:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10904)  all_56_4 = e0 & op(e3, e1) = e0
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10851), (10904) are inconsistent by
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1190.
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10905)  all_56_9 = e0 & op(e3, e0) = e0
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10905) implies:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10906)  all_56_9 = e0
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10790) gives:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10907)  all_54_3 = e2
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (9573), (10907) are inconsistent by
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #748.
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (113), (160), (164), (210), (285),
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (10758), (10787), (10793), (10906),
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #266.
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10908)  all_56_5 = e2 & op(e2, e1) = e2
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10908) implies:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10909)  op(e2, e1) = e2
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10834), (10843), (10909),
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1327.
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10910)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10910) gives:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10911)  all_56_8 = e2 & op(e1, e1) = e2
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10911) implies:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10912)  op(e1, e1) = e2
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (214), (216), (10779),
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10848), (10912), (function-axioms) are
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1162.
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10913)  all_56_14 = e2 & op(e0, e1) = e2
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (9572), (10913), (function-axioms) are
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #245.
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10914)  all_56_7 = e2 & op(e1, e2) = e2
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10914) implies:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10915)  op(e1, e2) = e2
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10842), (10915), (function-axioms) are
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10916)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e0) = e2)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (10716), (10779), (10916),
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #800.
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10917)  all_54_5 = e1 | all_54_5 = e0
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (9593), (10815), (10917) are inconsistent
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1353.
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10918)   ~ (all_22_1 = e3) & op(e2, e0) = all_22_1 &
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_1)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10918) implies:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10919)   ~ (all_22_1 = e3)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10920)  op(e2, e0) = all_22_1
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10807), (10919), (10920), (function-axioms) are
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #197.
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10921)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (9574), (10788), (10799), (10921) are
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #944.
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10922)  all_54_3 = e0
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (10787), (10922) are inconsistent by
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #828.
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10923)  all_56_10 = e1 & op(e2, e0) = e1
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10923) implies:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10924)  all_56_10 = e1
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10766), (10924) are inconsistent by
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1489.
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (10925)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10751), (10752), (10925),
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | |            #222.
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | |   (10926)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9590), (10715), (10926),
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | |            #220.
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | End of split
% 180.22/27.60  | | | | | | | | | 
% 180.22/27.60  | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | 
% 180.22/27.60  | | | | | | | | |   (10927)  all_14_2 = e2
% 180.22/27.60  | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | REDUCE: (374), (10927) imply:
% 180.22/27.60  | | | | | | | | |   (10928)   ~ (all_52_6 = e2)
% 180.22/27.60  | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | REDUCE: (376), (10927) imply:
% 180.22/27.60  | | | | | | | | |   (10929)   ~ (all_52_8 = e2)
% 180.22/27.60  | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | REDUCE: (51), (10927) imply:
% 180.22/27.60  | | | | | | | | |   (10930)  op(e1, e1) = e2
% 180.22/27.60  | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | BETA: splitting (238) gives:
% 180.22/27.60  | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | |   (10931)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.22/27.60  | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 180.22/27.60  | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10931),
% 180.22/27.60  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.60  | | | | | | | | | |            #1622.
% 180.22/27.60  | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | |   (10932)  (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 180.22/27.60  | | | | | | | | | |              all_57_31 & $i(all_57_31))
% 180.22/27.60  | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | BETA: splitting (10932) gives:
% 180.22/27.60  | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | |   (10933)  all_57_30 = e0 & op(e1, e1) = e0
% 180.22/27.60  | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | ALPHA: (10933) implies:
% 180.22/27.60  | | | | | | | | | | |   (10934)  op(e1, e1) = e0
% 180.22/27.60  | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | REF_CLOSE: (5), (10930), (10934), (function-axioms) are
% 180.22/27.60  | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 180.22/27.60  | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | |   (10935)  op(e0, e0) = all_57_31 & $i(all_57_31)
% 180.22/27.60  | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | ALPHA: (10935) implies:
% 180.22/27.60  | | | | | | | | | | |   (10936)  op(e0, e0) = all_57_31
% 180.22/27.60  | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | BETA: splitting (241) gives:
% 180.22/27.60  | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | |   (10937)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.22/27.60  | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 180.22/27.60  | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10937),
% 180.22/27.60  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.60  | | | | | | | | | | | |            #1622.
% 180.22/27.60  | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | |   (10938)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 180.22/27.60  | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 180.22/27.60  | | | | | | | | | | | |              op(e3, e0) = all_57_18 & $i(all_57_18))
% 180.22/27.60  | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | BETA: splitting (10938) gives:
% 180.22/27.60  | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | |   (10939)  all_57_30 = e0 & op(e1, e1) = e0
% 180.22/27.60  | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | ALPHA: (10939) implies:
% 180.22/27.60  | | | | | | | | | | | | |   (10940)  op(e1, e1) = e0
% 180.22/27.60  | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | REF_CLOSE: (5), (10930), (10940), (function-axioms) are
% 180.22/27.60  | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 180.22/27.60  | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | |   (10941)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 180.22/27.60  | | | | | | | | | | | | |              (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 180.22/27.60  | | | | | | | | | | | | |              $i(all_57_18))
% 180.22/27.60  | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | BETA: splitting (10941) gives:
% 180.22/27.60  | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | |   (10942)  all_57_31 = e0 & op(e0, e0) = e0
% 180.22/27.60  | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | ALPHA: (10942) implies:
% 180.22/27.60  | | | | | | | | | | | | | |   (10943)  all_57_31 = e0
% 180.22/27.60  | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | REDUCE: (10936), (10943) imply:
% 180.22/27.60  | | | | | | | | | | | | | |   (10944)  op(e0, e0) = e0
% 180.22/27.60  | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10944), (function-axioms) are
% 180.22/27.60  | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 180.22/27.60  | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | |   (10945)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 180.22/27.60  | | | | | | | | | | | | | |            $i(all_57_18)
% 180.22/27.60  | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | ALPHA: (10945) implies:
% 180.22/27.60  | | | | | | | | | | | | | |   (10946)   ~ (all_57_18 = e3)
% 180.22/27.60  | | | | | | | | | | | | | |   (10947)  op(e3, e0) = all_57_18
% 180.22/27.60  | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 180.22/27.60  | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | |   (10948)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.22/27.60  | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 180.22/27.60  | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10948),
% 180.22/27.60  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.60  | | | | | | | | | | | | | | |            #1622.
% 180.22/27.60  | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | |   (10949)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 180.22/27.60  | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 180.22/27.60  | | | | | | | | | | | | | | |              op(e2, e0) = all_57_21 & $i(all_57_21))
% 180.22/27.60  | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | BETA: splitting (10949) gives:
% 180.22/27.60  | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | |   (10950)  all_57_30 = e0 & op(e1, e1) = e0
% 180.22/27.60  | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | ALPHA: (10950) implies:
% 180.22/27.60  | | | | | | | | | | | | | | | |   (10951)  op(e1, e1) = e0
% 180.22/27.60  | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10930), (10951), (function-axioms) are
% 180.22/27.60  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 180.22/27.60  | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | |   (10952)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 180.22/27.60  | | | | | | | | | | | | | | | |              (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 180.22/27.60  | | | | | | | | | | | | | | | |              $i(all_57_21))
% 180.22/27.60  | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | BETA: splitting (10952) gives:
% 180.22/27.60  | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | |   (10953)  all_57_31 = e0 & op(e0, e0) = e0
% 180.22/27.60  | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | ALPHA: (10953) implies:
% 180.22/27.60  | | | | | | | | | | | | | | | | |   (10954)  op(e0, e0) = e0
% 180.22/27.60  | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10954), (function-axioms) are
% 180.22/27.60  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 180.22/27.60  | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | |   (10955)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 180.22/27.60  | | | | | | | | | | | | | | | | |            $i(all_57_21)
% 180.22/27.60  | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | ALPHA: (10955) implies:
% 180.22/27.60  | | | | | | | | | | | | | | | | |   (10956)   ~ (all_57_21 = e2)
% 180.22/27.60  | | | | | | | | | | | | | | | | |   (10957)  op(e2, e0) = all_57_21
% 180.22/27.60  | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 180.22/27.60  | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | |   (10958)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 180.22/27.60  | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (9593), (10958),
% 180.22/27.60  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.60  | | | | | | | | | | | | | | | | | |            #1622.
% 180.22/27.60  | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | |   (10959)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 180.22/27.60  | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 180.22/27.60  | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_24 & $i(all_57_24))
% 180.22/27.60  | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | BETA: splitting (10959) gives:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | |   (10960)  all_57_30 = e0 & op(e1, e1) = e0
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | ALPHA: (10960) implies:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | |   (10961)  op(e1, e1) = e0
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10930), (10961), (function-axioms) are
% 180.22/27.60  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | |   (10962)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 180.22/27.60  | | | | | | | | | | | | | | | | | | |              (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 180.22/27.60  | | | | | | | | | | | | | | | | | | |              $i(all_57_24))
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | BETA: splitting (10962) gives:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |   (10963)  all_57_31 = e0 & op(e0, e0) = e0
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | ALPHA: (10963) implies:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |   (10964)  op(e0, e0) = e0
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (10964), (function-axioms) are
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |   (10965)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |            $i(all_57_24)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | ALPHA: (10965) implies:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |   (10966)   ~ (all_57_24 = e1)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |   (10967)  op(e1, e0) = all_57_24
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |              all_57_31, e0, e0, simplifying with (9590),
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |              (10936) gives:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |   (10968)  all_57_31 = e2
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |              all_57_24, e0, e1, simplifying with (160), (10967)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |              gives:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |   (10969)  all_57_24 = all_52_14
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |              all_57_21, e0, e2, simplifying with (164), (10957)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |              gives:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |   (10970)  all_57_21 = all_52_13
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |              all_57_18, e0, e3, simplifying with (168), (10947)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |              gives:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |   (10971)  all_57_18 = all_52_12
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | REDUCE: (10946), (10971) imply:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |   (10972)   ~ (all_52_12 = e3)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | REDUCE: (10966), (10969) imply:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | |   (10973)   ~ (all_52_14 = e1)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | |   (10974)   ~ (all_18_2 = e1)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | REDUCE: (342), (10974) imply:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | |   (10975)   ~ (all_4_2 = e1)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | |   (10976)   ~ (all_28_2 = e1)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (329), (10976) imply:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | |   (10977)   ~ (all_10_2 = e1)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | |   (10978)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (199), (283), (9591), (9593), (10975),
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | |            (10977), (10978), (function-axioms) are
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1269.
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | |   (10979)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_30 & $i(all_57_30))
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10979) gives:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | |   (10980)  all_57_30 = e1 & op(e1, e1) = e1
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10980) implies:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | |   (10981)  op(e1, e1) = e1
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10930), (10981), (function-axioms) are
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | |   (10982)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_30))
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10982) gives:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (10983)  all_57_31 = e1 & op(e0, e0) = e1
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10983) implies:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (10984)  op(e0, e0) = e1
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10984), (function-axioms) are
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (10985)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10985) implies:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (10986)   ~ (all_57_30 = e1)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (10987)  op(e1, e1) = all_57_30
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10988)  all_54_5 = e3
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (10988) imply:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10989)  all_10_2 = e3
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9591), (10989) imply:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10990)  $false
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10990) is inconsistent.
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10991)   ~ (all_54_5 = e3)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | |   (10992)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10992) gives:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10993)  all_54_5 = e2
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (10993) imply:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10994)  all_10_2 = e2
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (10994) imply:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10995)   ~ (all_52_4 = e2)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9591), (10994) imply:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10996)   ~ (e3 = e2)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (10994) imply:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10997)  op(e2, e2) = e2
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10998)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10998) gives:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (10999)  all_56_0 = e2 & op(e3, e3) = e2
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10999) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11000)  op(e3, e3) = e2
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11001)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10997), (11000), (11001), (function-axioms)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #169.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11002)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & $i(all_57_17))
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11002) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11003)  all_57_30 = e1 & op(e1, e1) = e1
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11003) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11004)  op(e1, e1) = e1
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10986), (10987), (11004), (function-axioms) are
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11005)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_17))
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11005) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11006)  all_57_31 = e1 & op(e0, e0) = e1
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11006) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11007)  op(e0, e0) = e1
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (11007), (function-axioms) are
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11008)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11008) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11009)   ~ (all_57_17 = e3)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11010)  op(e3, e1) = all_57_17
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11011)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10997), (11000), (11011), (function-axioms)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #169.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11012)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = all_57_27 & $i(all_57_27))
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11012) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11013)  all_57_30 = e1 & op(e1, e1) = e1
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11013) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11014)  op(e1, e1) = e1
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10986), (10987), (11014), (function-axioms) are
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11015)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_27))
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11015) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11016)  all_57_31 = e1 & op(e0, e0) = e1
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11016) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11017)  op(e0, e0) = e1
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (11017), (function-axioms) are
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11018)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_27)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11018) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11019)   ~ (all_57_27 = e0)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11020)  op(e0, e1) = all_57_27
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11021)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10997), (11000), (11021), (function-axioms)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #169.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11022)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_20 & $i(all_57_20))
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11022) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11023)  all_57_30 = e1 & op(e1, e1) = e1
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11023) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11024)  op(e1, e1) = e1
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10986), (10987), (11024), (function-axioms) are
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11025)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20))
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11025) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11026)  all_57_31 = e1 & op(e0, e0) = e1
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11026) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11027)  op(e0, e0) = e1
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (11027), (function-axioms) are
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11028)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11028) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11029)   ~ (all_57_20 = e2)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11030)  op(e2, e1) = all_57_20
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (157), (11020)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11031)  all_57_27 = all_52_11
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30, e1, e1, simplifying with (10930),
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (10987) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11032)  all_57_30 = e2
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (165), (11030)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11033)  all_57_20 = all_52_9
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17, e1, e3, simplifying with (169), (11010)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11034)  all_57_17 = all_52_8
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e2,
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e3, simplifying with (36), (11000) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11035)  all_4_2 = e2
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11009), (11034) imply:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11036)   ~ (all_52_8 = e3)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11029), (11033) imply:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11037)   ~ (all_52_9 = e2)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11019), (11031) imply:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11038)   ~ (all_52_11 = e0)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11039)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10997), (11000), (11039), (function-axioms)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1542.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11040)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & $i(all_57_25))
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11040) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11041)  all_57_30 = e3 & op(e1, e1) = e3
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11041) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11042)  op(e1, e1) = e3
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10930), (11042), (function-axioms) are
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11043)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_25))
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11043) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11044)  all_57_31 = e3 & op(e0, e0) = e3
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11044) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11045)  op(e0, e0) = e3
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11045), (function-axioms) are
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11046)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_25)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11046) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11047)   ~ (all_57_25 = e0)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11048)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11048) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11049)  all_56_0 = e3 & op(e3, e3) = e3
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11049) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11050)  op(e3, e3) = e3
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11000), (11050), (function-axioms) are
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1594.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11051)  all_56_1 = e3 & op(e3, e2) = e3
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11051) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11052)  op(e3, e2) = e3
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11053)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10997), (11000), (11053), (function-axioms)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1542.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11054)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & $i(all_57_19))
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11054) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11055)  all_57_30 = e3 & op(e1, e1) = e3
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11055) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11056)  op(e1, e1) = e3
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10930), (11056), (function-axioms) are
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11057)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19))
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11057) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11058)  all_57_31 = e3 & op(e0, e0) = e3
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11058) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11059)  op(e0, e0) = e3
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11059), (function-axioms) are
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11060)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11060) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11061)   ~ (all_57_19 = e2)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11062)  op(e2, e3) = all_57_19
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11063)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10997), (11000), (11063), (function-axioms)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1542.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11064)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_22 & $i(all_57_22))
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11064) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11065)  all_57_30 = e3 & op(e1, e1) = e3
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11065) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11066)  op(e1, e1) = e3
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10930), (11066), (function-axioms) are
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11067)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22))
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11067) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11068)  all_57_31 = e3 & op(e0, e0) = e3
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11068) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11069)  op(e0, e0) = e3
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11069), (function-axioms) are
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11070)   ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11070) implies:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11071)   ~ (all_57_22 = e1)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11072)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11072) gives:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11073)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11073) gives:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11074)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11074) implies:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11075)   ~ (all_57_28 = e2)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11076)  op(e3, e3) = all_57_28
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28, e3, e3, simplifying with (11000),
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (11076) gives:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11077)  all_57_28 = e2
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11075), (11077) imply:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11078)  $false
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11078) is inconsistent.
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11079)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11079) implies:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11080)  op(e3, e1) = e3
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11036), (11080), (function-axioms) are
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11081)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11081) gives:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11082)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11082) implies:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11083)  op(e3, e0) = e3
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (168), (170), (201), (285), (11052),
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11083), (function-axioms) are inconsistent by
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1089.
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11084)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11084) implies:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11085)  op(e2, e3) = e2
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11061), (11062), (11085), (function-axioms) are
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #180.
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11086)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11086) gives:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11087)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (9571), (11030), (11037), (11087),
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1260.
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11088)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11088) gives:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11089)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11089) implies:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11090)  all_57_22 = e1
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11071), (11090) imply:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11091)  $false
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11091) is inconsistent.
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11092)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11092) gives:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11093)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11093) implies:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11094)   ~ (all_57_30 = e2)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10930), (10987), (11094), (function-axioms) are
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #661.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11095)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11095) implies:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11096)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11096) gives:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11097)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11097) implies:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11098)  op(e1, e0) = e1
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10966), (10967), (11098), (function-axioms) are
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1423.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11099)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11099) implies:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11100)   ~ (all_57_15 = e0)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11101)  op(e0, e2) = all_57_26
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11102)  op(e0, all_57_31) = all_57_15
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11103)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10968), (11102) imply:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11104)  op(e0, e2) = all_57_15
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11103) gives:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11105)  all_57_31 = e0
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10973), (11096), (11105),
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1583.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11106)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11106) gives:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11107)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11107) implies:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11108)  all_57_25 = e0
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11047), (11108) imply:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11109)  $false
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11109) is inconsistent.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11110)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11110) gives:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11111)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11100), (11101), (11104), (11111),
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #213.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11112)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11112) implies:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11113)  all_57_27 = e0
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11031), (11038), (11113) are inconsistent by
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #903.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11114)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (10972), (11036), (11114),
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #803.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11115)  all_56_1 = e2 & op(e3, e2) = e2
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11115) implies:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11116)  op(e3, e2) = e2
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10995), (11116), (function-axioms) are
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11117)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11117) gives:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11118)  all_56_4 = e2 & op(e3, e1) = e2
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11118) implies:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11119)  op(e3, e1) = e2
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11120)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (10975), (10997), (11120),
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1267.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11121)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & $i(all_57_17))
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11121) gives:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11122)  all_57_30 = e1 & op(e1, e1) = e1
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11122) implies:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11123)  op(e1, e1) = e1
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10986), (10987), (11123), (function-axioms) are
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11124)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_17))
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11124) gives:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11125)  all_57_31 = e1 & op(e0, e0) = e1
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11125) implies:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11126)  op(e0, e0) = e1
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (11126), (function-axioms) are
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11127)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11127) implies:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11128)  op(e3, e1) = all_57_17
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17, e1, e3, simplifying with (169), (11128)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11129)  all_57_17 = all_52_8
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17, e1, e3, simplifying with (11119),
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (11128) gives:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11130)  all_57_17 = e2
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11129), (11130) imply:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11131)  all_52_8 = e2
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11131) implies:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11132)  all_52_8 = e2
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10929), (11132) imply:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11133)  $false
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11133) is inconsistent.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11134)  all_56_9 = e2 & op(e3, e0) = e2
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11134) implies:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11135)  all_56_9 = e2
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11136)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11136) gives:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11137)  all_56_9 = e1 & op(e3, e0) = e1
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11135), (11137) are inconsistent by
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1565.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11138)  all_56_10 = e1 & op(e2, e0) = e1
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11138) implies:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11139)  all_56_10 = e1
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11140)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11140) gives:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11141)  all_56_9 = e3 & op(e3, e0) = e3
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11141) implies:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11142)  op(e3, e0) = e3
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10972), (11142), (function-axioms) are
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11143)  all_56_10 = e3 & op(e2, e0) = e3
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11143) implies:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11144)  all_56_10 = e3
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (39), (160), (210), (387), (10973),
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11135), (11144), (function-axioms) are
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1359.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11145)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11145) gives:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11146)  all_56_11 = e3 & op(e1, e0) = e3
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11146) implies:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11147)  all_56_11 = e3
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (206), (9590), (11135), (11139),
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11147), (function-axioms) are inconsistent by
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #168.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11148)  all_56_15 = e3 & op(e0, e0) = e3
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11148) implies:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11149)  op(e0, e0) = e3
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11149), (function-axioms) are
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11150)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10966), (10967), (11150),
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #222.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11151)  all_54_5 = e1 | all_54_5 = e0
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (9593), (10977), (11151) are inconsistent
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1353.
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.63  | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | |   (11152)  all_28_2 = e1
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (11152) imply:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | |   (11153)  all_10_2 = e1
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (11153) imply:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | |   (11154)   ~ (all_52_6 = e1)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (11153) imply:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | |   (11155)   ~ (all_52_9 = e1)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (11153) imply:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | |   (11156)   ~ (all_52_13 = e1)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9591), (11153) imply:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | |   (11157)   ~ (e3 = e1)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (11153) imply:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | |   (11158)  op(e2, e2) = e1
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | |   (11159)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11159) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | |   (11160)  all_56_2 = e2 & op(e2, e3) = e2
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11160) implies:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | |   (11161)  all_56_2 = e2
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | |   (11162)  op(e2, e3) = e2
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (11163)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11163) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11164)  all_56_6 = e1 & op(e1, e3) = e1
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11164) implies:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11165)  all_56_6 = e1
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11166)  op(e1, e3) = e1
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11167)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11167) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11168)  all_56_1 = e2 & op(e3, e2) = e2
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11168) implies:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11169)  all_56_1 = e2
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11170)  op(e3, e2) = e2
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11171)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (11162), (11171),
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1181.
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11172)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11172) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11173)  all_56_6 = e0 & op(e1, e3) = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11173) implies:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11174)  op(e1, e3) = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11166), (11174), (function-axioms) are
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1251.
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11175)  all_56_12 = e0 & op(e0, e3) = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11175) implies:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11176)  all_56_12 = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11177)  op(e0, e3) = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11178)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11178) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11179)  all_56_9 = e1 & op(e3, e0) = e1
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11179) implies:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11180)  all_56_9 = e1
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11181)  op(e3, e0) = e1
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11182)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (11169), (11182),
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #247.
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11183)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11183) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11184)  all_56_4 = e0 & op(e3, e1) = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11184) implies:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11185)  op(e3, e1) = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11186)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (11155), (11185), (11186),
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #707.
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11187)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11187) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11188)  all_56_8 = e1 & op(e1, e1) = e1
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11188) implies:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11189)  op(e1, e1) = e1
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10930), (11189), (function-axioms) are
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11190)  all_56_14 = e1 & op(e0, e1) = e1
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11190) implies:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11191)  all_56_14 = e1
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11192)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11192) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11193)  all_56_4 = e3 & op(e3, e1) = e3
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11193) implies:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11194)  op(e3, e1) = e3
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (11185), (11194), (function-axioms)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1577.
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11195)  all_56_5 = e3 & op(e2, e1) = e3
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11195) implies:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11196)  all_56_5 = e3
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11197)  op(e2, e1) = e3
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11198)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (11158), (11162), (11198),
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1309.
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11199)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11199) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11200)  all_56_5 = e0 & op(e2, e1) = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11200) implies:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11201)  all_56_5 = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11196), (11201) are inconsistent by
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1410.
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11202)  all_56_10 = e0 & op(e2, e0) = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11202) implies:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11203)  all_56_10 = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11204)  op(e2, e0) = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11205)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (168), (10972), (11203), (11205),
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #167.
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11206)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11206) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11207)  all_56_11 = e3 & op(e1, e0) = e3
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11207) implies:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11208)  all_56_11 = e3
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11209)  op(e1, e0) = e3
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11210)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11210) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11211)  all_56_6 = e0 & op(e1, e3) = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11211) implies:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11212)  all_56_6 = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11213)  op(e1, e3) = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (231), (233),
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (235), (10975), (11176), (11177), (11212),
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11213), (function-axioms) are inconsistent by
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #703.
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, e1, simplifying with (160), (11209) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11214)  all_52_14 = e3
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e0, e2, simplifying with (164), (11204) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11215)  all_52_13 = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e3, simplifying with (168), (11181) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11216)  all_52_12 = e1
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10969), (11214) imply:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11217)  all_57_24 = e3
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10970), (11215) imply:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11218)  all_57_21 = e0
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10971), (11216) imply:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11219)  all_57_18 = e1
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11220)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11220) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11221)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11221) gives:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11222)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11222) implies:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11223)  op(e3, e2) = e3
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11170), (11223), (function-axioms) are
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #166.
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11224)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11224) implies:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11225)  op(e3, e1) = e3
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (11185), (11225), (function-axioms)
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1577.
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11226)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11226) gives:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11227)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11227) implies:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11228)  op(e3, e0) = e3
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10972), (11228), (function-axioms) are
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11229)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11229) implies:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11230)   ~ (all_57_7 = e0)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11231)  op(e2, all_57_21) = all_57_7
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11218), (11231) imply:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11232)  op(e2, e0) = all_57_7
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_57_7,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e2, simplifying with (11204), (11232) gives:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11233)  all_57_7 = e0
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11230), (11233) imply:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11234)  $false
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11234) is inconsistent.
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11235)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11235) gives:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11236)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (158), (9571), (11197), (11236),
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #900.
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11237)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11237) gives:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11238)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11238) implies:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11239)  op(e3, e1) = e1
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11185), (11239), (function-axioms) are
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1571.
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11240)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11240) gives:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11241)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11241) implies:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11242)  op(e2, e1) = e1
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11197), (11242), (function-axioms) are
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11243)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11243) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11244)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (160), (10966), (10967), (10968),
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (10973), (11217), (11219), (11244),
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #211.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11245)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11245) gives:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11246)  all_56_8 = e0 & op(e1, e1) = e0
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11246) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11247)  op(e1, e1) = e0
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (162), (215), (10928), (11165),
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11208), (11247), (function-axioms) are
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1214.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11248)  all_56_11 = e0 & op(e1, e0) = e0
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11208), (11248) are inconsistent by
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1203.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11249)  all_56_15 = e3 & op(e0, e0) = e3
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11249) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11250)  op(e0, e0) = e3
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11250), (function-axioms) are
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11251)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10930), (11191), (11251),
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #907.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11252)  all_56_9 = e0 & op(e3, e0) = e0
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11252) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11253)  all_56_9 = e0
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11180), (11253) are inconsistent by
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1484.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11254)  all_56_10 = e1 & op(e2, e0) = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11254) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11255)  all_56_10 = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (221), (224), (11158),
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11161), (11162), (11255), (function-axioms) are
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #770.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11256)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10966), (10967), (11256),
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #222.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11257)  all_56_3 = e2 & op(e2, e2) = e2
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11257) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11258)  op(e2, e2) = e2
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (222),
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (11155), (11161), (11162), (11258),
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1406.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11259)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (9571), (10928), (11259),
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #165.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11260)  all_56_7 = e1 & op(e1, e2) = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11260) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11261)  op(e1, e2) = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (11154), (11261), (function-axioms) are
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #834.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (11262)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11262) gives:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11263)  all_56_8 = e1 & op(e1, e1) = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11263) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11264)  op(e1, e1) = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10930), (11264), (function-axioms) are
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11265)  all_56_11 = e1 & op(e1, e0) = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11265) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11266)  op(e1, e0) = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10966), (10967), (11266), (function-axioms) are
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1423.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (11267)  all_56_3 = e2 & op(e2, e2) = e2
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11267) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (11268)  op(e2, e2) = e2
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11158), (11268), (function-axioms) are
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | |   (11269)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11269) gives:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (11270)  all_56_5 = e2 & op(e2, e1) = e2
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11270) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (11271)  all_56_5 = e2
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (11272)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11272) gives:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11273)  all_56_1 = e2 & op(e3, e2) = e2
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11273) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11274)  all_56_1 = e2
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11275)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11275) gives:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11276)  all_56_9 = e1 & op(e3, e0) = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11276) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11277)  all_56_9 = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11278)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (11274), (11278),
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #247.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11279)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11279) gives:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11280)  all_56_4 = e0 & op(e3, e1) = e0
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11280) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11281)  all_56_4 = e0
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (10930),
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11271), (11281), (function-axioms) are
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #932.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11282)  all_56_9 = e0 & op(e3, e0) = e0
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11282) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11283)  all_56_9 = e0
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11277), (11283) are inconsistent by
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1484.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11284)  all_56_10 = e1 & op(e2, e0) = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11284) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11285)  op(e2, e0) = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (11156), (11285), (function-axioms) are
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1273.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11286)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10966), (10967), (11286),
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #222.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11287)  all_56_3 = e2 & op(e2, e2) = e2
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11287) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11288)  op(e2, e2) = e2
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11158), (11288), (function-axioms) are
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (11289)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (9571), (10928), (11289),
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | |            #165.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (11290)  all_56_10 = e2 & op(e2, e0) = e2
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11290) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (11291)  op(e2, e0) = e2
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10956), (10957), (11291), (function-axioms) are
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1388.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | |   (11292)  all_18_2 = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (342), (11292) imply:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | |   (11293)  all_4_2 = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | SIMP: (11293) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | |   (11294)  all_4_2 = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (346), (11294) imply:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | |   (11295)  all_40_2 = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (11294) imply:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | |   (11296)   ~ (all_52_2 = e1)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (11294) imply:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | |   (11297)  op(e3, e3) = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | |   (11298)   ~ (all_40_2 = e1)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11295), (11298) imply:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | |   (11299)  $false
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11299) is inconsistent.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | |   (11300)  ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | |              $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | |              = all_40_1 & $i(all_40_1))
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | |   (11301)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11301) gives:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (11302)  all_56_9 = e1 & op(e3, e0) = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11302) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (11303)  all_56_9 = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (11297), (11303),
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | |            #1103.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (11304)  all_56_10 = e1 & op(e2, e0) = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11304) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | |   (11305)  all_56_10 = e1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11300) gives:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (11306)   ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_40_0)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10930), (11306), (function-axioms) are
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #701.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (11307)   ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_40_1)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11307) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (11308)   ~ (all_40_1 = e0)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (11309)  op(e1, e3) = all_40_1
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11310)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11310) gives:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11311)  all_56_9 = e3 & op(e3, e0) = e3
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11311) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11312)  op(e3, e0) = e3
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (10972), (11312), (function-axioms) are
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11313)  all_56_10 = e3 & op(e2, e0) = e3
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11305), (11313) are inconsistent by
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1141.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11314)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11314) gives:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11315)  all_56_11 = e3 & op(e1, e0) = e3
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11315) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11316)  all_56_11 = e3
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11317)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (163), (214), (10930), (11296),
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11308), (11309), (11316), (11317),
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #662.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11318)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11318) gives:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11319)  all_56_8 = e0 & op(e1, e1) = e0
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11319) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11320)  op(e1, e1) = e0
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10930), (11320), (function-axioms) are
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11321)  all_56_11 = e0 & op(e1, e0) = e0
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11321) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11322)  all_56_11 = e0
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11316), (11322) are inconsistent by
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1163.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11323)  all_56_15 = e3 & op(e0, e0) = e3
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11323) implies:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11324)  op(e0, e0) = e3
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11324), (function-axioms) are
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | |   (11325)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (10966), (10967), (11325),
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | |            #222.
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | | 
% 180.22/27.66  | | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | | 
% 180.22/27.66  | | | | | | | | End of split
% 180.22/27.66  | | | | | | | | 
% 180.22/27.66  | | | | | | | Case 2:
% 180.22/27.66  | | | | | | | | 
% 180.22/27.66  | | | | | | | |   (11326)  all_12_2 = e0
% 180.22/27.66  | | | | | | | | 
% 180.22/27.66  | | | | | | | | COMBINE_EQS: (335), (11326) imply:
% 180.22/27.66  | | | | | | | |   (11327)  all_10_2 = e0
% 180.22/27.66  | | | | | | | | 
% 180.22/27.66  | | | | | | | | REDUCE: (362), (11327) imply:
% 180.22/27.66  | | | | | | | |   (11328)   ~ (all_52_1 = e0)
% 180.22/27.66  | | | | | | | | 
% 180.22/27.66  | | | | | | | | REDUCE: (365), (11327) imply:
% 180.22/27.66  | | | | | | | |   (11329)   ~ (all_52_4 = e0)
% 180.22/27.66  | | | | | | | | 
% 180.22/27.66  | | | | | | | | REDUCE: (367), (11327) imply:
% 180.22/27.66  | | | | | | | |   (11330)   ~ (all_52_6 = e0)
% 180.22/27.66  | | | | | | | | 
% 180.22/27.66  | | | | | | | | REDUCE: (369), (11327) imply:
% 180.22/27.66  | | | | | | | |   (11331)   ~ (all_52_7 = e0)
% 180.22/27.66  | | | | | | | | 
% 180.22/27.66  | | | | | | | | REDUCE: (371), (11327) imply:
% 180.22/27.66  | | | | | | | |   (11332)   ~ (all_52_9 = e0)
% 180.22/27.66  | | | | | | | | 
% 180.22/27.66  | | | | | | | | REDUCE: (373), (11327) imply:
% 180.22/27.66  | | | | | | | |   (11333)   ~ (all_52_13 = e0)
% 180.22/27.66  | | | | | | | | 
% 180.22/27.66  | | | | | | | | REDUCE: (9591), (11327) imply:
% 180.22/27.67  | | | | | | | |   (11334)   ~ (e3 = e0)
% 180.22/27.67  | | | | | | | | 
% 180.22/27.67  | | | | | | | | BETA: splitting (221) gives:
% 180.22/27.67  | | | | | | | | 
% 180.22/27.67  | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | 
% 180.22/27.67  | | | | | | | | |   (11335)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 180.22/27.67  | | | | | | | | |              & op(e2, e2) = e0)
% 180.22/27.67  | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | BETA: splitting (11335) gives:
% 180.22/27.67  | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | |   (11336)  all_56_2 = e0 & op(e2, e3) = e0
% 180.22/27.67  | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | REF_CLOSE: (167), (11328), (11336), (function-axioms) are
% 180.22/27.67  | | | | | | | | | |            inconsistent by sub-proof #930.
% 180.22/27.67  | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | |   (11337)  all_56_3 = e0 & op(e2, e2) = e0
% 180.22/27.67  | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | ALPHA: (11337) implies:
% 180.22/27.67  | | | | | | | | | |   (11338)  all_56_3 = e0
% 180.22/27.67  | | | | | | | | | |   (11339)  op(e2, e2) = e0
% 180.22/27.67  | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | BETA: splitting (52) gives:
% 180.22/27.67  | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | |   (11340)   ~ (all_14_2 = e2)
% 180.22/27.67  | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | BETA: splitting (55) gives:
% 180.22/27.67  | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | |   (11341)   ~ (all_16_2 = e3)
% 180.22/27.67  | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | REDUCE: (338), (11341) imply:
% 180.22/27.67  | | | | | | | | | | | |   (11342)   ~ (all_14_2 = e3)
% 180.22/27.67  | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | BETA: splitting (58) gives:
% 180.22/27.67  | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | |   (11343)   ~ (all_18_2 = e1)
% 180.22/27.67  | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | REDUCE: (342), (11343) imply:
% 180.22/27.67  | | | | | | | | | | | | |   (11344)   ~ (all_4_2 = e1)
% 180.22/27.67  | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | BETA: splitting (64) gives:
% 180.22/27.67  | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | |   (11345)   ~ (all_22_2 = e2)
% 180.22/27.67  | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | REDUCE: (9569), (11345) imply:
% 180.22/27.67  | | | | | | | | | | | | | |   (11346)  $false
% 180.22/27.67  | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | CLOSE: (11346) is inconsistent.
% 180.22/27.67  | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | |   (11347)  ( ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 180.22/27.67  | | | | | | | | | | | | | |              $i(all_22_0)) | ( ~ (all_22_1 = e3) & op(e2, e0)
% 180.22/27.67  | | | | | | | | | | | | | |              = all_22_1 & $i(all_22_1))
% 180.22/27.67  | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 180.22/27.67  | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | |   (11348)   ~ (all_26_2 = e0)
% 180.22/27.67  | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | REDUCE: (318), (11348) imply:
% 180.22/27.67  | | | | | | | | | | | | | | |   (11349)   ~ (all_14_2 = e0)
% 180.22/27.67  | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | |   (11350)  all_54_10 = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | REF_CLOSE: (349), (11342), (11350) are inconsistent by
% 180.22/27.67  | | | | | | | | | | | | | | | |            sub-proof #1621.
% 180.22/27.67  | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | |   (11351)   ~ (all_54_10 = e3)
% 180.22/27.67  | | | | | | | | | | | | | | | |   (11352)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 180.22/27.67  | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | BETA: splitting (11352) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | |   (11353)  all_54_10 = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (11340), (11353) are inconsistent by
% 180.22/27.67  | | | | | | | | | | | | | | | | |            sub-proof #1620.
% 180.22/27.67  | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | |   (11354)   ~ (all_54_10 = e2)
% 180.22/27.67  | | | | | | | | | | | | | | | | |   (11355)  all_54_10 = e1 | all_54_10 = e0
% 180.22/27.67  | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | BETA: splitting (11355) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | |   (11356)  all_54_10 = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (11356) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | |   (11357)  all_14_2 = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | SIMP: (11357) implies:
% 180.22/27.67  | | | | | | | | | | | | | | | | | |   (11358)  all_14_2 = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | REDUCE: (363), (11358) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | |   (11359)   ~ (all_52_2 = e1)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | REDUCE: (374), (11358) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | |   (11360)   ~ (all_52_6 = e1)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | REDUCE: (376), (11358) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | |   (11361)   ~ (all_52_8 = e1)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | REDUCE: (377), (11358) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | |   (11362)   ~ (all_52_9 = e1)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | REDUCE: (379), (11358) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | |   (11363)   ~ (all_52_11 = e1)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | REDUCE: (381), (11358) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | |   (11364)   ~ (all_52_14 = e1)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | REDUCE: (11342), (11358) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | |   (11365)   ~ (e3 = e1)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | REDUCE: (11340), (11358) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | |   (11366)   ~ (e2 = e1)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | REDUCE: (51), (11358) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | |   (11367)  op(e1, e1) = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | |   (11368)   ~ (all_30_2 = e2)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | REDUCE: (343), (11368) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | |   (11369)   ~ (all_4_2 = e2)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | |   (11370)  all_54_0 = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (11370) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | |   (11371)  all_4_2 = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (11371) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | |   (11372)   ~ (all_52_1 = e3)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (11371) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | |   (11373)   ~ (all_52_2 = e3)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (11371) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | |   (11374)   ~ (all_52_4 = e3)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (11371) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | |   (11375)   ~ (all_52_8 = e3)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (11371) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | |   (11376)   ~ (all_52_12 = e3)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (11371) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | |   (11377)  op(e3, e3) = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | |   (11378)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11378) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | |   (11379)  all_56_0 = e3 & op(e3, e3) = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11379) implies:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | |   (11380)  all_56_0 = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | |   (11381)  all_54_13 = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (11381) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | |   (11382)  all_52_7 = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11382) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | |   (11383)   ~ (all_52_6 = e3)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (11382) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | |   (11384)   ~ (all_52_11 = e3)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11384) implies:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | |   (11385)   ~ (all_52_11 = e3)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | |   (11386)  all_54_14 = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (11385), (11386) are inconsistent by
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1259.
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | |   (11387)   ~ (all_54_14 = e3)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | |   (11388)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11388) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (11389)  all_54_14 = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (9572), (11389) are inconsistent by
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1234.
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (11390)  all_54_14 = e1 | all_54_14 = e0
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11390) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11391)  all_54_14 = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (11363), (11391) are inconsistent by
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1307.
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11392)  all_54_14 = e0
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (11392) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11393)  all_52_11 = e0
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11393) implies:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11394)  all_52_11 = e0
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (11394) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11395)   ~ (all_52_8 = e0)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11363), (11394) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11396)   ~ (e1 = e0)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11397)  all_54_2 = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (11397) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11398)  all_52_8 = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11375), (11398) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11399)  $false
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11399) is inconsistent.
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11400)   ~ (all_54_2 = e3)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11401)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11402)  all_54_9 = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (11383), (11402) are inconsistent by
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11403)   ~ (all_54_9 = e3)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11404)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11404) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11405)  all_54_9 = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (11405) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11406)  all_52_6 = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11406) implies:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11407)  all_52_6 = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (11407) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11408)   ~ (all_52_2 = e2)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (11407) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11409)   ~ (all_52_4 = e2)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11383), (11407) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11410)   ~ (e3 = e2)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11411)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11411) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11412)  all_56_12 = e3 & op(e0, e3) = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11412) implies:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11413)  all_56_12 = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11414)  op(e0, e3) = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (163),
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (204), (229), (231), (233), (294), (386), (11344),
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11359), (11369), (11377), (11413), (11414),
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #164.
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11415)  all_56_13 = e3 & op(e0, e2) = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11415) implies:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11416)  all_56_13 = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11417)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11417) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11418)  all_56_0 = e2 & op(e3, e3) = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11418) implies:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11419)  op(e3, e3) = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (204), (294), (386), (11344), (11369),
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11419), (function-axioms) are inconsistent by
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1350.
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11420)  all_56_2 = e2 & op(e2, e3) = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11420) implies:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11421)  all_56_2 = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11422)  all_54_8 = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (11422) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11423)  all_52_2 = e3
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11373), (11423) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11424)  $false
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11424) is inconsistent.
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11425)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11426)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (204), (294), (386), (11344),
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11369), (11409), (11426), (function-axioms) are
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #163.
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11427)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11427) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11428)  all_56_4 = e2 & op(e3, e1) = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11428) implies:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11429)  all_56_4 = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11430)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11430) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11431)  all_56_0 = e1 & op(e3, e3) = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11431) implies:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11432)  op(e3, e3) = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11377), (11432), (function-axioms) are
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11433)  all_56_2 = e1 & op(e2, e3) = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (11332), (11367), (11421), (11429),
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11433), (function-axioms) are inconsistent by
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #463.
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11434)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11434) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11435)  all_56_6 = e1 & op(e1, e3) = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11435) implies:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11436)  all_56_6 = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11437)  op(e1, e3) = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (215),
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (11330), (11367), (11436), (11437),
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #161.
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11438)  all_56_12 = e1 & op(e0, e3) = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11438) implies:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11439)  op(e0, e3) = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11425) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11440)  all_54_8 = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (11440) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11441)  all_52_2 = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11408), (11441) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11442)  $false
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11442) is inconsistent.
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11443)  all_54_8 = e1 | all_54_8 = e0
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11444)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (11329), (11444),
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1060.
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11445)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11445) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11446)  all_56_4 = e0 & op(e3, e1) = e0
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11429), (11446) are inconsistent by
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1190.
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11447)  all_56_9 = e0 & op(e3, e0) = e0
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11447) implies:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11448)  all_56_9 = e0
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11449)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11449) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11450)  all_56_0 = e1 & op(e3, e3) = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11450) implies:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11451)  op(e3, e3) = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11377), (11451), (function-axioms) are
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11452)  all_56_1 = e1 & op(e3, e2) = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11452) implies:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11453)  op(e3, e2) = e1
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11401) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11454)  all_54_2 = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (11454) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11455)  all_52_8 = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11455) implies:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11456)  all_52_8 = e2
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (11456) imply:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11457)   ~ (all_52_9 = e2)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11457) implies:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11458)   ~ (all_52_9 = e2)
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11459)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11459) gives:
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11460)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (11372), (11375), (11460),
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #280.
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11461)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11461) gives:
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11462)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11462) implies:
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11463)  op(e0, e3) = e3
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (11439), (11463), (function-axioms)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1529.
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11464)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11464) implies:
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11465)  op(e3, e2) = e2
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11453), (11465), (function-axioms) are
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1424.
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11466)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11466) gives:
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11467)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (198), (276), (9571), (11332),
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11458), (11467), (function-axioms) are
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1038.
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11468)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11468) gives:
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11469)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11469) implies:
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11470)  op(e3, e1) = e1
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11361), (11470), (function-axioms) are
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11471)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11471) gives:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11472)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11472) implies:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11473)  op(e2, e1) = e1
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (210), (213), (215), (216), (223), (224),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (386), (387), (11329), (11330), (11338),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11339), (11367), (11421), (11429), (11473),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #483.
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11474)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11474) implies:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11475)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (164), (274), (11333), (11359),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11364), (11439), (11443), (11475),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #792.
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11476)  all_54_2 = e1 | all_54_2 = e0
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (11361), (11395), (11476) are inconsistent
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1324.
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11477)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (11332), (11367), (11448), (11477),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #573.
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11478)  all_56_9 = e2 & op(e3, e0) = e2
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11478) implies:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11479)  all_56_9 = e2
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (162), (164),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (170), (206), (213), (215), (216), (217),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (229), (230), (231), (232), (233),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (386), (9589), (11329), (11330), (11332),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11333), (11344), (11367), (11377), (11383),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11421), (11479), (function-axioms) are
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #158.
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11480)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11480) gives:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11481)  all_56_6 = e2 & op(e1, e3) = e2
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11481) implies:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11482)  all_56_6 = e2
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11483)  op(e1, e3) = e2
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11484)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (204), (294), (386), (11344),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11369), (11409), (11484), (function-axioms) are
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #163.
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11485)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11485) gives:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11486)  all_56_4 = e2 & op(e3, e1) = e2
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11486) implies:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11487)  all_56_4 = e2
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11488)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (162), (170), (225), (11329), (11330),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11409), (11416), (11488), (function-axioms) are
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #157.
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11489)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11489) gives:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11490)  all_56_7 = e2 & op(e1, e2) = e2
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11490) implies:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11491)  all_56_7 = e2
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11492)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (11329), (11492),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1060.
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11493)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11493) gives:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11494)  all_56_4 = e0 & op(e3, e1) = e0
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11487), (11494) are inconsistent by
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1190.
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11495)  all_56_9 = e0 & op(e3, e0) = e0
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11495) implies:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11496)  all_56_9 = e0
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11497)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11497) gives:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11498)  all_56_0 = e1 & op(e3, e3) = e1
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11498) implies:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11499)  op(e3, e3) = e1
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11377), (11499), (function-axioms) are
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11500)  all_56_1 = e1 & op(e3, e2) = e1
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11500) implies:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11501)  all_56_1 = e1
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11502)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11502) gives:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11503)  all_56_6 = e0 & op(e1, e3) = e0
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11503) implies:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11504)  all_56_6 = e0
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11482), (11504) imply:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11505)  e2 = e0
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11505) implies:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11506)  e2 = e0
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11487), (11506) imply:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11507)  all_56_4 = e0
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (11377), (11496), (11501),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11507), (function-axioms) are inconsistent by
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1392.
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11508)  all_56_7 = e0 & op(e1, e2) = e0
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (11330), (11508), (function-axioms) are
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1199.
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11509)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11509) gives:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11510)  all_56_8 = e0 & op(e1, e1) = e0
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11510) implies:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11511)  op(e1, e1) = e0
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (11349), (11355), (11511),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1617.
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11512)  all_56_11 = e0 & op(e1, e0) = e0
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11512) implies:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11513)  all_56_11 = e0
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (11367), (11482), (11491),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11513), (function-axioms) are inconsistent by
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #452.
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11514)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (11332), (11367), (11496), (11514),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #548.
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11515)  all_56_13 = e2 & op(e0, e2) = e2
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11515) implies:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11516)  op(e0, e2) = e2
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (11516), (function-axioms) are
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11517)  all_56_9 = e2 & op(e3, e0) = e2
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11517) implies:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11518)  all_56_9 = e2
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11519)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (11383), (11483), (11519),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #156.
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11520)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (165),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (206), (217), (219), (220), (230), (232),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (386), (9589), (11329), (11332), (11333),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11344), (11367), (11377), (11518), (11520),
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #159.
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11521)  all_56_12 = e2 & op(e0, e3) = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11521) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11522)  all_56_12 = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11523)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11523) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11524)  all_56_4 = e3 & op(e3, e1) = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11524) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11525)  all_56_4 = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (165), (170),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (219), (220), (230), (232), (234), (386),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11329), (11332), (11344), (11367), (11380),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11525), (function-axioms) are inconsistent by
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #563.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11526)  all_56_5 = e3 & op(e2, e1) = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11526) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11527)  op(e2, e1) = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11528)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11528) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11529)  all_56_2 = e2 & op(e2, e3) = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11529) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11530)  all_56_2 = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11531)  op(e2, e3) = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (36), (229), (231), (386), (11344),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11522), (11530), (11531), (function-axioms) are
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #988.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11532)  all_56_3 = e2 & op(e2, e2) = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11532) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11533)  op(e2, e2) = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (162), (170), (225), (11329), (11330),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11416), (11533), (function-axioms) are
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #896.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11534)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (164), (9574), (11527), (11534),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #155.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11535)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11535) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11536)  all_56_8 = e3 & op(e1, e1) = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11536) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11537)  op(e1, e1) = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11367), (11537), (function-axioms) are
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11538)  all_56_14 = e3 & op(e0, e1) = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11538) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11539)  all_56_14 = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (160),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (170), (204), (210), (217), (223),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (229), (231), (233), (234), (294), (386),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (9574), (11332), (11339), (11344), (11364),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11367), (11369), (11377), (11409), (11522),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11539), (function-axioms) are inconsistent by
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #154.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11540)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11540) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11541)  all_56_14 = e3 & op(e0, e1) = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11541) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11542)  all_56_14 = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11543)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11543) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11544)  all_56_0 = e2 & op(e3, e3) = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11544) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11545)  op(e3, e3) = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (204), (294), (386), (11344), (11369),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11545), (function-axioms) are inconsistent by
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1350.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11546)  all_56_2 = e2 & op(e2, e3) = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11546) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11547)  all_56_2 = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11548)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (204), (294), (386), (11344),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11369), (11409), (11548), (function-axioms) are
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #163.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11549)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11549) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11550)  all_56_4 = e2 & op(e3, e1) = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11550) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11551)  all_56_4 = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (165), (217), (11332), (11367),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11542), (11551), (function-axioms) are
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1067.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11552)  all_56_9 = e2 & op(e3, e0) = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11552) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11553)  all_56_9 = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (162), (164),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (170), (206), (213), (215), (216), (217),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (229), (230), (231), (232), (233),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (386), (9589), (11329), (11330), (11332),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11333), (11344), (11367), (11377), (11383),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11547), (11553), (function-axioms) are
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #158.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11554)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11554) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11555)  all_56_6 = e2 & op(e1, e3) = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11555) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11556)  op(e1, e3) = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11557)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (204), (294), (386), (11344),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11369), (11409), (11557), (function-axioms) are
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #163.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11558)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11558) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11559)  all_56_4 = e2 & op(e3, e1) = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11559) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11560)  all_56_4 = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (165), (217), (11332), (11367),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11542), (11560), (function-axioms) are
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1067.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11561)  all_56_9 = e2 & op(e3, e0) = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11561) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11562)  all_56_9 = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11563)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11563) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11564)  all_56_4 = e0 & op(e3, e1) = e0
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11564) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11565)  all_56_4 = e0
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11566)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (11383), (11556), (11566),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #156.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11567)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11567) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11568)  all_56_8 = e3 & op(e1, e1) = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11568) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11569)  op(e1, e1) = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (218), (219), (11542),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11565), (11569), (function-axioms) are
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #813.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11570)  all_56_11 = e3 & op(e1, e0) = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11570) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11571)  all_56_11 = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (165),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (217), (219), (220), (232), (234), (9589),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11332), (11333), (11344), (11367), (11377),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11562), (11565), (11571), (function-axioms) are
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #160.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11572)  all_56_5 = e0 & op(e2, e1) = e0
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11332), (11572), (function-axioms) are
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1476.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11573)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (51), (349), (11349), (11355), (11542),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11573), (function-axioms) are inconsistent by
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #153.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11574)  all_56_12 = e2 & op(e0, e3) = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11574) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11575)  all_56_12 = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (160),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (170), (204), (210), (217), (223),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (229), (231), (233), (234), (294), (386),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (9574), (11332), (11339), (11344), (11364),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11367), (11369), (11377), (11409), (11542),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11575), (function-axioms) are inconsistent by
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #154.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11576)  all_56_15 = e3 & op(e0, e0) = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11576) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11577)  op(e0, e0) = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11577), (function-axioms) are
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11578)  all_54_9 = e1 | all_54_9 = e0
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (11330), (11360), (11578) are inconsistent
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1320.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | |   (11579)   ~ (all_54_13 = e3)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | |   (11580)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (263), (11579) imply:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | |   (11581)   ~ (all_52_7 = e3)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | |   (11582)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11582) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (11583)  all_56_12 = e3 & op(e0, e3) = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11583) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (11584)  all_56_12 = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (11585)  op(e0, e3) = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (163),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | |            (204), (229), (231), (233), (294), (386), (11344),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | |            (11359), (11369), (11377), (11584), (11585),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | |            #164.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (11586)  all_56_13 = e3 & op(e0, e2) = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11586) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (11587)  all_56_13 = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11580) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11588)  all_54_13 = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (9571), (11588) are inconsistent by
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1185.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11589)   ~ (all_54_13 = e2)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11590)  all_54_13 = e1 | all_54_13 = e0
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11590) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11591)  all_54_13 = e1
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (11591) imply:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11592)  all_52_7 = e1
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11592) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11593)  all_52_7 = e1
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (11593) imply:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11594)   ~ (all_52_3 = e1)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (165),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (217), (219), (220), (387), (11332),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11367), (11587), (11594), (function-axioms) are
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #191.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11595)  all_54_13 = e0
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (11331), (11595) are inconsistent by
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1312.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | |   (11596)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11596) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (11597)  all_56_14 = e3 & op(e0, e1) = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11597) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (11598)  all_56_14 = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (11599)  op(e0, e1) = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11580) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11600)  all_54_13 = e2
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (9571), (11600) are inconsistent by
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1185.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11601)   ~ (all_54_13 = e2)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11602)  all_54_13 = e1 | all_54_13 = e0
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11602) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11603)  all_54_13 = e1
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (11603) imply:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11604)  all_52_7 = e1
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11604) implies:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11605)  all_52_7 = e1
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (11605) imply:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11606)   ~ (all_52_3 = e1)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (11605) imply:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11607)   ~ (all_52_4 = e1)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11608)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (11339), (11374), (11608),
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #152.
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11609)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11609) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11610)  all_56_7 = e3 & op(e1, e2) = e3
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11610) implies:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11611)  all_56_7 = e3
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11612)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11612) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11613)  all_56_12 = e1 & op(e0, e3) = e1
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (11606), (11613), (function-axioms) are
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1106.
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11614)  all_56_13 = e1 & op(e0, e2) = e1
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11614) implies:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11615)  all_56_13 = e1
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11616)  op(e0, e2) = e1
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11617)  all_54_1 = e3
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (11617) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11618)  all_52_4 = e3
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11374), (11618) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11619)  $false
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11619) is inconsistent.
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11620)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11620) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11621)  all_54_1 = e2
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (11621) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11622)  all_52_4 = e2
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (11622) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11623)   ~ (all_52_6 = e2)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11623) implies:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11624)   ~ (all_52_6 = e2)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (11622) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11625)   ~ (all_52_8 = e2)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11625) implies:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11626)   ~ (all_52_8 = e2)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (11622) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11627)   ~ (all_52_12 = e2)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11628)  all_54_9 = e3
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (11628) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11629)  all_52_6 = e3
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11629) implies:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11630)  all_52_6 = e3
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (11630) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11631)   ~ (all_52_14 = e3)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11631) implies:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11632)   ~ (all_52_14 = e3)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11633)  all_54_11 = e3
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (11632), (11633) are inconsistent by
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1336.
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11634)   ~ (all_54_11 = e3)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11635)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11636)  all_54_2 = e3
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (11636) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11637)  all_52_8 = e3
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11375), (11637) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11638)  $false
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11638) is inconsistent.
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11639)   ~ (all_54_2 = e3)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11640)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11641)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11641) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11642)  all_56_4 = e2 & op(e3, e1) = e2
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11642) implies:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11643)  all_56_4 = e2
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (165), (217), (11332), (11367),
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11598), (11643), (function-axioms) are
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1067.
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11644)  all_56_5 = e2 & op(e2, e1) = e2
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11644) implies:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11645)  op(e2, e1) = e2
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11646)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11646) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11647)  all_56_9 = e3 & op(e3, e0) = e3
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11647) implies:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11648)  op(e3, e0) = e3
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11376), (11648), (function-axioms) are
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11649)  all_56_10 = e3 & op(e2, e0) = e3
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11649) implies:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11650)  all_56_10 = e3
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11651)  op(e2, e0) = e3
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11652)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11652) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11653)  all_56_9 = e1 & op(e3, e0) = e1
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11653) implies:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11654)  all_56_9 = e1
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11655)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11655) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11656)  all_56_4 = e0 & op(e3, e1) = e0
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11656) implies:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11657)  op(e3, e1) = e0
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11658)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11658) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11659)  all_56_1 = e2 & op(e3, e2) = e2
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11659) implies:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11660)  all_56_1 = e2
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11635) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11661)  all_54_11 = e2
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (11661) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11662)  all_52_14 = e2
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9575), (11662) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11663)  $false
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11663) is inconsistent.
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11664)   ~ (all_54_11 = e2)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11665)  all_54_11 = e1 | all_54_11 = e0
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11665) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11666)  all_54_11 = e1
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (11666) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11667)  all_52_14 = e1
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11364), (11667) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11668)  $false
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11668) is inconsistent.
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11669)  all_54_11 = e0
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (11669) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11670)  all_52_14 = e0
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (11670) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11671)   ~ (all_52_12 = e0)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9575), (11670) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11672)   ~ (e2 = e0)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11364), (11670) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11673)   ~ (e1 = e0)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11640) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11674)  all_54_2 = e2
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (11626), (11674) are inconsistent by
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1480.
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11675)  all_54_2 = e1 | all_54_2 = e0
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11676)  all_54_3 = e3
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (11376), (11676) are inconsistent by
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #809.
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11677)   ~ (all_54_3 = e3)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11678)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11678) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11679)  all_54_3 = e2
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (9573), (11679) are inconsistent by
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #748.
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11680)   ~ (all_54_3 = e2)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11681)  all_54_3 = e1 | all_54_3 = e0
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11682)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11682) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11683)  all_56_2 = e1 & op(e2, e3) = e1
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11683) implies:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11684)  op(e2, e3) = e1
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11681) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11685)  all_54_3 = e1
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (11685) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11686)  all_52_12 = e1
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11686) implies:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11687)  all_52_12 = e1
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (11687) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11688)   ~ (all_52_13 = e1)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11688) implies:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11689)   ~ (all_52_13 = e1)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (11687) imply:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11690)  op(e3, e0) = e1
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11347) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11691)   ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_0)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11691) implies:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11692)   ~ (all_22_0 = e1)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11693)  op(e2, e2) = all_22_0
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11694)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11694) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11695)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (286), (11361), (11372), (11375),
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11675), (11695), (function-axioms) are
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #232.
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11696)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11696) gives:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11697)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11697) implies:
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11698)  op(e3, e0) = e3
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (11376), (11698), (function-axioms) are
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11699)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11699) implies:
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11700)  op(e2, e3) = e2
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (165), (197), (198), (227), (275), (276),
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9574), (11332), (11333), (11339), (11362),
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11611), (11615), (11645), (11660), (11684),
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11689), (11700), (function-axioms) are
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #558.
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11701)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11701) gives:
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11702)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11702) gives:
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11703)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11703) implies:
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11704)  op(e1, e2) = e2
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (11624), (11704), (function-axioms) are
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11705)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_20) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11705) implies:
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11706)  op(e0, e2) = e2
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11616), (11706), (function-axioms) are
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #279.
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11707)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11707) gives:
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11708)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11708) implies:
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11709)  op(e3, e1) = e1
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11657), (11709), (function-axioms) are
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1571.
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11710)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11710) gives:
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11711)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11711) implies:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11712)  op(e2, e1) = e1
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11362), (11712), (function-axioms) are
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11713)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11713) implies:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11714)  op(e0, e1) = all_57_27
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11715)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11715) gives:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11716)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11716) implies:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11717)  op(e1, e0) = e1
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11364), (11717), (function-axioms) are
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1609.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11718)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11718) implies:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11719)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (11599),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (11714) gives:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11720)  all_57_27 = e3
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_22_0,
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e2, simplifying with (11339), (11693) gives:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11721)  all_22_0 = e0
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11719) gives:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11722)  all_57_31 = e0
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11364), (11715), (11722),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1583.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11723)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (36), (39), (51), (113), (160), (164),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (210), (241), (285), (349), (386), (387), (11333),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11349), (11355), (11364), (11654), (11671),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11681), (11690), (11715), (11720), (11723),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #223.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11724)   ~ (all_22_1 = e3) & op(e2, e0) = all_22_1 &
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_1)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11724) implies:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11725)   ~ (all_22_1 = e3)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11726)  op(e2, e0) = all_22_1
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11651), (11725), (11726), (function-axioms) are
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #197.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11727)  all_54_3 = e0
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (11671), (11727) are inconsistent by
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #828.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11728)  all_56_3 = e1 & op(e2, e2) = e1
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11728) implies:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11729)  op(e2, e2) = e1
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11730)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11730) gives:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11731)  all_56_1 = e0 & op(e3, e2) = e0
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11731) implies:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11732)  all_56_1 = e0
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (162), (227), (11615), (11624), (11729),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11732), (function-axioms) are inconsistent by
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1245.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11339), (11729), (function-axioms) are
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1310.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11733)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11733) gives:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11734)  all_56_7 = e0 & op(e1, e2) = e0
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11611), (11734) are inconsistent by
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #967.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11735)  all_56_13 = e0 & op(e0, e2) = e0
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11735) implies:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11736)  op(e0, e2) = e0
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11331), (11736), (function-axioms) are
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1463.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11737)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11737) gives:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11738)  all_56_5 = e1 & op(e2, e1) = e1
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11738) implies:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11739)  op(e2, e1) = e1
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11362), (11739), (function-axioms) are
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11740)  all_56_10 = e1 & op(e2, e0) = e1
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11740) implies:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11741)  op(e2, e0) = e1
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (164), (285), (11671), (11681), (11741),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #267.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11742)  all_56_3 = e2 & op(e2, e2) = e2
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11742) implies:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11743)  op(e2, e2) = e2
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (158), (170), (225), (11329), (11331),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11611), (11743), (function-axioms) are
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1461.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11744)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (162), (11616), (11624), (11744),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #230.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11745)  all_56_5 = e0 & op(e2, e1) = e0
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11745) implies:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11746)  op(e2, e1) = e0
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11645), (11746), (function-axioms) are
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #272.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11747)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (51), (349), (11349), (11355), (11598),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11747), (function-axioms) are inconsistent by
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #153.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11748)  all_56_10 = e1 & op(e2, e0) = e1
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11748) implies:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11749)  all_56_10 = e1
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11650), (11749) imply:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11750)  e3 = e1
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11598), (11750) imply:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11751)  all_56_14 = e1
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (11332), (11367), (11751),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #599.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11752)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (213),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (216), (387), (11330), (11367), (11752),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #543.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11753)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9590), (11632), (11753),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #220.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11754)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (9572), (11367), (11754),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #219.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11755)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (11330), (11360), (11624), (11755) are
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1319.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11756)  all_54_1 = e1 | all_54_1 = e0
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (11329), (11607), (11756) are inconsistent
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1058.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11757)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (165), (217),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (387), (11332), (11367), (11757),
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #595.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11758)  all_56_13 = e3 & op(e0, e2) = e3
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11758) implies:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11759)  all_56_13 = e3
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11760)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11760) gives:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11761)  all_56_12 = e1 & op(e0, e3) = e1
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (11606), (11761), (function-axioms) are
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1106.
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11762)  all_56_13 = e1 & op(e0, e2) = e1
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11762) implies:
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11763)  all_56_13 = e1
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11759), (11763) imply:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11764)  e3 = e1
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11764) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11765)  e3 = e1
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11598), (11765) imply:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11766)  all_56_14 = e1
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (11332), (11367), (11766),
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #599.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11767)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (165), (217),
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (387), (11332), (11367), (11767),
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #595.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11768)  all_54_13 = e0
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (11331), (11768) are inconsistent by
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1312.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (11769)  all_56_15 = e3 & op(e0, e0) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11769) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (11770)  op(e0, e0) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11770), (function-axioms) are
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |   (11771)  all_56_2 = e3 & op(e2, e3) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11771) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |   (11772)  all_56_2 = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |   (11773)  op(e2, e3) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (163), (229),
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |            (231), (233), (386), (11359), (11377), (11772),
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |            (11773), (function-axioms) are inconsistent by
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1587.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | |   (11774)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11774) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |   (11775)  all_56_6 = e3 & op(e1, e3) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11775) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |   (11776)  op(e1, e3) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (11373), (11776), (function-axioms) are
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #855.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |   (11777)  all_56_12 = e3 & op(e0, e3) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11777) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |   (11778)  all_56_12 = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |   (11779)  op(e0, e3) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (163),
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |            (204), (229), (231), (233), (294), (386), (11344),
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |            (11359), (11369), (11377), (11778), (11779),
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |            #164.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | |   (11780)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (11344), (11369), (11780) are
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1354.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | |   (11781)  all_30_2 = e2
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (11781) imply:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | |   (11782)  all_4_2 = e2
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | SIMP: (11782) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | |   (11783)  all_4_2 = e2
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (296), (11783) imply:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | |   (11784)  all_48_2 = e2
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | REDUCE: (351), (11783) imply:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | |   (11785)   ~ (all_52_1 = e2)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | REDUCE: (357), (11783) imply:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | |   (11786)   ~ (all_52_4 = e2)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | REDUCE: (36), (11783) imply:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | |   (11787)  op(e3, e3) = e2
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | |   (11788)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (159),
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | |            (162), (165), (169), (170), (210), (213), (215),
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | |            (216), (217), (219), (220), (222), (223), (224),
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | |            (229), (230), (231), (235), (386), (387), (11329),
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | |            (11330), (11332), (11338), (11339), (11367),
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | |            (11787), (11788), (function-axioms) are
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #473.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | |   (11789)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | BETA: splitting (11789) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | |   (11790)  all_56_5 = e2 & op(e2, e1) = e2
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | ALPHA: (11790) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | |   (11791)  op(e2, e1) = e2
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |   (11792)   ~ (all_48_2 = e2)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11784), (11792) imply:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |   (11793)  $false
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11793) is inconsistent.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |   (11794)  ( ~ (all_48_0 = e0) & op(e2, e2) = all_48_0 &
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |              $i(all_48_0)) | ( ~ (all_48_1 = e1) & op(e2, e3)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | |              = all_48_1 & $i(all_48_1))
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | |   (11795)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11795) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | |   (11796)  all_56_1 = e2 & op(e3, e2) = e2
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11796) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | |   (11797)  op(e3, e2) = e2
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (11786), (11797), (function-axioms) are
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | |   (11798)  all_56_3 = e2 & op(e2, e2) = e2
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11798) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | |   (11799)  op(e2, e2) = e2
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11339), (11799), (function-axioms) are
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | |   (11800)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11800) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | |   (11801)  all_56_7 = e2 & op(e1, e2) = e2
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11801) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | |   (11802)  op(e1, e2) = e2
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11794) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (11803)   ~ (all_48_0 = e0) & op(e2, e2) = all_48_0 &
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_48_0)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11803) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (11804)   ~ (all_48_0 = e0)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (11805)  op(e2, e2) = all_48_0
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_48_0,
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e2, simplifying with (11339), (11805) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (11806)  all_48_0 = e0
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11804), (11806) imply:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (11807)  $false
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11807) is inconsistent.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (11808)   ~ (all_48_1 = e1) & op(e2, e3) = all_48_1 &
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_48_1)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11808) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (11809)   ~ (all_48_1 = e1)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (11810)  op(e2, e3) = all_48_1
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11811)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (11339), (11787), (11811),
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | |            #151.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11812)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & $i(all_57_25))
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11812) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11813)  all_57_30 = e3 & op(e1, e1) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11813) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11814)  op(e1, e1) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11367), (11814), (function-axioms) are
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11815)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_25))
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11815) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11816)  all_57_31 = e3 & op(e0, e0) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11816) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11817)  op(e0, e0) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11817), (function-axioms) are
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11818)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_25)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11818) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11819)   ~ (all_57_25 = e0)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11820)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (11339), (11787), (11820),
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #151.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11821)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & $i(all_57_19))
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11821) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11822)  all_57_30 = e3 & op(e1, e1) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11822) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11823)  op(e1, e1) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11367), (11823), (function-axioms) are
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11824)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19))
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11824) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11825)  all_57_31 = e3 & op(e0, e0) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11825) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11826)  op(e0, e0) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11826), (function-axioms) are
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11827)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11827) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11828)  op(e2, e3) = all_57_19
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11829)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (11339), (11787), (11829),
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #151.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11830)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_22 & $i(all_57_22))
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11830) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11831)  all_57_30 = e3 & op(e1, e1) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11831) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11832)  op(e1, e1) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11367), (11832), (function-axioms) are
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11833)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22))
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11833) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11834)  all_57_31 = e3 & op(e0, e0) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11834) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11835)  op(e0, e0) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11835), (function-axioms) are
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11836)   ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11836) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11837)   ~ (all_57_22 = e1)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11838)  op(e1, e3) = all_57_22
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11839)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (11339), (11787), (11839),
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #151.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11840)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & $i(all_57_28))
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11840) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11841)  all_57_30 = e3 & op(e1, e1) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11841) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11842)  op(e1, e1) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11367), (11842), (function-axioms) are
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11843)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28))
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11843) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11844)  all_57_31 = e3 & op(e0, e0) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11844) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11845)  op(e0, e0) = e3
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (11845), (function-axioms) are
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11846)   ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11846) implies:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11847)  op(e3, e3) = all_57_28
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (11802) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11848)  all_52_6 = e2
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22, e3, e1, simplifying with (163), (11838)
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11849)  all_57_22 = all_52_2
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (11791) gives:
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11850)  all_52_9 = e2
% 180.22/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 180.61/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19, e3, e2, simplifying with (167), (11828)
% 180.61/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.61/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11851)  all_57_19 = all_52_1
% 180.61/27.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_48_1,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19, e3, e2, simplifying with (11810),
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (11828) gives:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11852)  all_57_19 = all_48_1
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28, e3, e3, simplifying with (11787),
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (11847) gives:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11853)  all_57_28 = e2
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11851), (11852) imply:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11854)  all_52_1 = all_48_1
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (11854) imply:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11855)  all_54_4 = all_48_1
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (11854) imply:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11856)   ~ (all_52_2 = all_48_1)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11856) implies:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11857)   ~ (all_52_2 = all_48_1)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11785), (11854) imply:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11858)   ~ (all_48_1 = e2)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11328), (11854) imply:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11859)   ~ (all_48_1 = e0)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (11848) imply:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11860)   ~ (all_52_2 = e2)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11848) imply:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11861)   ~ (all_52_7 = e2)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (11848) imply:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11862)   ~ (all_52_14 = e2)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11863)  all_54_4 = e3
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11855), (11863) imply:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11864)  all_48_1 = e3
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11864) implies:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11865)  all_48_1 = e3
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11857), (11865) imply:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11866)   ~ (all_52_2 = e3)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11810), (11865) imply:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11867)  op(e2, e3) = e3
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11868)  all_54_8 = e3
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (11866), (11868) are inconsistent by
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1243.
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11869)   ~ (all_54_8 = e3)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11870)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11870) gives:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11871)  all_54_8 = e2
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (11860), (11871) are inconsistent by
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1240.
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11872)  all_54_8 = e1 | all_54_8 = e0
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11873)  all_56_15 = e0 & op(e0, e0) = e0
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11873) implies:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11874)  all_56_15 = e0
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9589), (11874) are inconsistent by sub-proof
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #920.
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11875)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11875) implies:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11876)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11872) gives:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11877)  all_54_8 = e1
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (11359), (11877) are inconsistent by
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #952.
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11878)  all_54_8 = e0
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (11878) imply:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11879)  all_52_2 = e0
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11879) implies:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11880)  all_52_2 = e0
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (11880) imply:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11881)   ~ (all_52_14 = e0)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11881) implies:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11882)   ~ (all_52_14 = e0)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11883)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11883) gives:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11884)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11884) gives:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11885)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11885) implies:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11886)   ~ (all_57_28 = e2)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11853), (11886) imply:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11887)  $false
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11887) is inconsistent.
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11888)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11888) implies:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11889)  op(e1, e3) = e3
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (163), (193), (265), (9575), (11364),
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11882), (11889), (function-axioms) are
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #264.
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11890)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11890) gives:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11891)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11891) implies:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11892)  op(e3, e0) = e3
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (164), (11333), (11876), (11882),
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11892), (function-axioms) are inconsistent by
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #730.
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11893)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11893) implies:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11894)  op(e3, e2) = e2
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (11786), (11894), (function-axioms) are
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11895)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11895) gives:
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11896)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (11867), (11896), (function-axioms)
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #830.
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11897)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11897) gives:
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11898)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11898) implies:
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11899)  op(e3, e1) = e1
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11361), (11899), (function-axioms) are
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11900)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11900) gives:
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11901)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11901) implies:
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11902)  op(e2, e1) = e1
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11362), (11902), (function-axioms) are
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11903)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11903) implies:
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11904)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (11333), (11364), (11819), (11882),
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11904), (function-axioms) are inconsistent by
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1279.
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11905)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11809), (11855), (11858), (11859), (11905) are
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #464.
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | |   (11906)  all_56_13 = e2 & op(e0, e2) = e2
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11906) implies:
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | |   (11907)  op(e0, e2) = e2
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (11907), (function-axioms) are
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | |   (11908)  all_56_10 = e2 & op(e2, e0) = e2
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | ALPHA: (11908) implies:
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | |   (11909)  op(e2, e0) = e2
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9574), (11909), (function-axioms) are
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1562.
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.76  | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | |   (11910)  all_54_10 = e0
% 180.61/27.76  | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (11349), (11910) are inconsistent by
% 180.61/27.76  | | | | | | | | | | | | | | | | | |            sub-proof #1618.
% 180.61/27.76  | | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | End of split
% 180.61/27.76  | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | Case 2:
% 180.61/27.76  | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | |   (11911)  all_26_2 = e0
% 180.61/27.76  | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | COMBINE_EQS: (318), (11911) imply:
% 180.61/27.76  | | | | | | | | | | | | | | |   (11912)  all_14_2 = e0
% 180.61/27.76  | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | SIMP: (11912) implies:
% 180.61/27.76  | | | | | | | | | | | | | | |   (11913)  all_14_2 = e0
% 180.61/27.76  | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | COMBINE_EQS: (309), (11913) imply:
% 180.61/27.76  | | | | | | | | | | | | | | |   (11914)  all_44_2 = e0
% 180.61/27.76  | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | REDUCE: (379), (11913) imply:
% 180.61/27.76  | | | | | | | | | | | | | | |   (11915)   ~ (all_52_11 = e0)
% 180.61/27.76  | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | REDUCE: (381), (11913) imply:
% 180.61/27.76  | | | | | | | | | | | | | | |   (11916)   ~ (all_52_14 = e0)
% 180.61/27.76  | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | REDUCE: (11340), (11913) imply:
% 180.61/27.76  | | | | | | | | | | | | | | |   (11917)   ~ (e2 = e0)
% 180.61/27.76  | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | REDUCE: (51), (11913) imply:
% 180.61/27.76  | | | | | | | | | | | | | | |   (11918)  op(e1, e1) = e0
% 180.61/27.76  | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 180.61/27.76  | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | Case 1:
% 180.61/27.76  | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | |   (11919)   ~ (all_44_2 = e0)
% 180.61/27.76  | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | REDUCE: (11914), (11919) imply:
% 180.61/27.76  | | | | | | | | | | | | | | | |   (11920)  $false
% 180.61/27.76  | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | | CLOSE: (11920) is inconsistent.
% 180.61/27.76  | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | Case 2:
% 180.61/27.76  | | | | | | | | | | | | | | | | 
% 180.61/27.76  | | | | | | | | | | | | | | | |   (11921)  ( ~ (all_44_0 = e2) & op(e0, e0) = all_44_0 &
% 180.61/27.77  | | | | | | | | | | | | | | | |              $i(all_44_0)) | ( ~ (all_44_1 = e3) & op(e0, e1)
% 180.61/27.77  | | | | | | | | | | | | | | | |              = all_44_1 & $i(all_44_1))
% 180.61/27.77  | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 180.61/27.77  | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77  | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | |   (11922)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.61/27.77  | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 180.61/27.77  | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (11339), (11344), (11922),
% 180.61/27.77  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.61/27.77  | | | | | | | | | | | | | | | | |            #609.
% 180.61/27.77  | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77  | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | |   (11923)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.61/27.77  | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 180.61/27.77  | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_20 & $i(all_57_20))
% 180.61/27.77  | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | BETA: splitting (11923) gives:
% 180.61/27.77  | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | |   (11924)  all_57_30 = e1 & op(e1, e1) = e1
% 180.61/27.77  | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | ALPHA: (11924) implies:
% 180.61/27.77  | | | | | | | | | | | | | | | | | |   (11925)  op(e1, e1) = e1
% 180.61/27.77  | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11918), (11925), (function-axioms) are
% 180.61/27.77  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 180.61/27.77  | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | |   (11926)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.61/27.77  | | | | | | | | | | | | | | | | | |              (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 180.61/27.77  | | | | | | | | | | | | | | | | | |              $i(all_57_20))
% 180.61/27.77  | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | BETA: splitting (11926) gives:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | |   (11927)  all_57_31 = e1 & op(e0, e0) = e1
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | ALPHA: (11927) implies:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | |   (11928)  op(e0, e0) = e1
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (11928), (function-axioms) are
% 180.61/27.77  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | |   (11929)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 180.61/27.77  | | | | | | | | | | | | | | | | | | |            $i(all_57_20)
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | ALPHA: (11929) implies:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | |   (11930)   ~ (all_57_20 = e2)
% 180.61/27.77  | | | | | | | | | | | | | | | | | | |   (11931)  op(e2, e1) = all_57_20
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | |   (11932)  all_56_15 = e0 & op(e0, e0) = e0
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | ALPHA: (11932) implies:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | |   (11933)  all_56_15 = e0
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9589), (11933) imply:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | |   (11934)  e2 = e0
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (11934) imply:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | |   (11935)  $false
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | CLOSE: (11935) is inconsistent.
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | |   (11936)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | ALPHA: (11936) implies:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | |   (11937)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | |   (11938)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | BETA: splitting (11937) gives:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | |   (11939)  all_56_12 = e0 & op(e0, e3) = e0
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | ALPHA: (11939) implies:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | |   (11940)  all_56_12 = e0
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | |   (11941)  op(e0, e3) = e0
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11938) gives:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | |   (11942)  all_56_9 = e0 & op(e3, e0) = e0
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11942) implies:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | |   (11943)  op(e3, e0) = e0
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | |   (11944)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (11339), (11344), (11944),
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | |            #609.
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | |   (11945)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & $i(all_57_17))
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11945) gives:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | |   (11946)  all_57_30 = e1 & op(e1, e1) = e1
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11946) implies:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | |   (11947)  op(e1, e1) = e1
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11918), (11947), (function-axioms) are
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | |   (11948)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_17))
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11948) gives:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (11949)  all_57_31 = e1 & op(e0, e0) = e1
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11949) implies:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (11950)  op(e0, e0) = e1
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (11950), (function-axioms) are
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (11951)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17)
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11951) implies:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (11952)   ~ (all_57_17 = e3)
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (11953)  op(e3, e1) = all_57_17
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11954)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (11339), (11344), (11954),
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | |            #609.
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (11955)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = all_57_27 & $i(all_57_27))
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11955) gives:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11956)  all_57_30 = e1 & op(e1, e1) = e1
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11956) implies:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11957)  op(e1, e1) = e1
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11918), (11957), (function-axioms) are
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11958)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_27))
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11958) gives:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11959)  all_57_31 = e1 & op(e0, e0) = e1
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11959) implies:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11960)  op(e0, e0) = e1
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (11960), (function-axioms) are
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11961)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_27)
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11961) implies:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11962)  op(e0, e1) = all_57_27
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11921) gives:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11963)   ~ (all_44_0 = e2) & op(e0, e0) = all_44_0 &
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_44_0)
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11963) implies:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11964)   ~ (all_44_0 = e2)
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11965)  op(e0, e0) = all_44_0
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9590), (11964), (11965), (function-axioms) are
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #210.
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11966)   ~ (all_44_1 = e3) & op(e0, e1) = all_44_1 &
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_44_1)
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11966) implies:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11967)   ~ (all_44_1 = e3)
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11968)  op(e0, e1) = all_44_1
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11969)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (11339), (11344), (11969),
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #609.
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11970)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_30 & $i(all_57_30))
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11970) gives:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.61/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11971)  all_57_30 = e1 & op(e1, e1) = e1
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11971) implies:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11972)  op(e1, e1) = e1
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11918), (11972), (function-axioms) are
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11973)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_30))
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11973) gives:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11974)  all_57_31 = e1 & op(e0, e0) = e1
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11974) implies:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11975)  op(e0, e0) = e1
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (11975), (function-axioms) are
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11976)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11976) implies:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11977)   ~ (all_57_30 = e1)
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11978)  op(e1, e1) = all_57_30
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (157), (11962)
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11979)  all_57_27 = all_52_11
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_44_1,
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (11962),
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (11968) gives:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11980)  all_57_27 = all_44_1
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (11941) gives:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11981)  all_52_3 = e0
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30, e1, e1, simplifying with (11918),
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (11978) gives:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11982)  all_57_30 = e0
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (165), (11931)
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11983)  all_57_20 = all_52_9
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e0, e3, simplifying with (168), (11943) gives:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11984)  all_52_12 = e0
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17, e1, e3, simplifying with (169), (11953)
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11985)  all_57_17 = all_52_8
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11979), (11980) imply:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11986)  all_52_11 = all_44_1
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (11986) imply:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11987)  all_54_14 = all_44_1
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11952), (11985) imply:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11988)   ~ (all_52_8 = e3)
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11930), (11983) imply:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11989)   ~ (all_52_9 = e2)
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11977), (11982) imply:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11990)   ~ (e1 = e0)
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (11981) imply:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11991)   ~ (all_52_7 = e0)
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (11986) imply:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11992)   ~ (all_52_7 = all_44_1)
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9572), (11986) imply:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11993)   ~ (all_44_1 = e2)
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11915), (11986) imply:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11994)   ~ (all_44_1 = e0)
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (11984) imply:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11995)   ~ (all_52_13 = e0)
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (11984) imply:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11996)   ~ (all_52_14 = e0)
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (11984) imply:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11997)   ~ (all_4_2 = e0)
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11998)  all_54_14 = e3
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11987), (11998) imply:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (11999)  all_44_1 = e3
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11999) implies:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12000)  all_44_1 = e3
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11967), (12000) imply:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12001)  $false
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12001) is inconsistent.
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12002)   ~ (all_54_14 = e3)
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12003)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.86/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12004)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12004) gives:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12005)  all_56_12 = e3 & op(e0, e3) = e3
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11940), (12005) are inconsistent by
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1533.
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12006)  all_56_13 = e3 & op(e0, e2) = e3
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12006) implies:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12007)  all_56_13 = e3
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12008)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12008) gives:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12009)  all_56_12 = e1 & op(e0, e3) = e1
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12009) implies:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12010)  op(e0, e3) = e1
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11941), (12010), (function-axioms) are
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1589.
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12011)  all_56_13 = e1 & op(e0, e2) = e1
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12011) implies:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12012)  all_56_13 = e1
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12007), (12012) are inconsistent by
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1357.
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12013)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12013) gives:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12014)  all_56_14 = e1 & op(e0, e1) = e1
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12014) implies:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12015)  all_56_14 = e1
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12016)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12016) gives:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12017)  all_56_2 = e2 & op(e2, e3) = e2
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12017) implies:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12018)  all_56_2 = e2
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12019)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12019) gives:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12020)  all_56_0 = e1 & op(e3, e3) = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12020) implies:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12021)  op(e3, e3) = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (11344), (12021), (function-axioms) are
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1525.
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12022)  all_56_2 = e1 & op(e2, e3) = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12022) implies:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12023)  all_56_2 = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12018), (12023) are inconsistent by
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1363.
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12024)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12024) gives:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12025)  all_56_6 = e1 & op(e1, e3) = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12025) implies:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12026)  all_56_6 = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12027)  op(e1, e3) = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12003) gives:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12028)  all_54_14 = e2
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11987), (11993), (12028) are inconsistent by
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #187.
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12029)   ~ (all_54_14 = e2)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12030)  all_54_14 = e1 | all_54_14 = e0
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12030) gives:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12031)  all_54_14 = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11987), (12031) imply:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12032)  all_44_1 = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12032) implies:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12033)  all_44_1 = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11980), (12033) imply:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12034)  all_57_27 = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11967), (12033) imply:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12035)   ~ (e3 = e1)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11993), (12033) imply:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12036)   ~ (e2 = e1)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12037)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12037) gives:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12038)  all_56_0 = e1 & op(e3, e3) = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12038) implies:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12039)  op(e3, e3) = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (167), (229),
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (235), (386), (11328), (12026), (12027),
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12039), (function-axioms) are inconsistent by
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #358.
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12040)  all_56_1 = e1 & op(e3, e2) = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12040) implies:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12041)  all_56_1 = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12042)  op(e3, e2) = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12043)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12043) gives:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12044)  all_56_4 = e3 & op(e3, e1) = e3
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12044) implies:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12045)  op(e3, e1) = e3
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11988), (12045), (function-axioms) are
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12046)  all_56_5 = e3 & op(e2, e1) = e3
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12046) implies:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12047)  op(e2, e1) = e3
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12048)  all_54_6 = e3
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (12048) imply:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12049)  all_52_9 = e3
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12049) implies:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12050)  all_52_9 = e3
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (12050) imply:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12051)   ~ (all_52_1 = e3)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (12050) imply:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12052)   ~ (all_52_13 = e3)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12052) implies:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12053)   ~ (all_52_13 = e3)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12054)  all_54_7 = e3
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (12053), (12054) are inconsistent by
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #797.
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12055)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12055) gives:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12056)  all_54_7 = e2
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (9574), (12056) are inconsistent by
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #795.
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12057)   ~ (all_54_7 = e2)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12058)  all_54_7 = e1 | all_54_7 = e0
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12058) gives:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12059)  all_54_7 = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (12059) imply:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12060)  all_52_13 = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12060) implies:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12061)  all_52_13 = e1
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (12061) imply:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12062)   ~ (all_52_14 = e1)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12062) implies:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12063)   ~ (all_52_14 = e1)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12064)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12064) gives:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12065)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (11988), (12051), (12065),
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #280.
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12066)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12066) gives:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12067)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12067) implies:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12068)  op(e3, e0) = e3
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (164), (11333), (11916), (11938),
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12068), (function-axioms) are inconsistent by
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #730.
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12069)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12069) implies:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12070)  op(e3, e2) = e2
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12042), (12070), (function-axioms) are
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1424.
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12071)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.87/27.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12071) gives:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12072)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (158), (9571), (12047), (12072),
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #900.
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12073)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12073) gives:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12074)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12074) implies:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12075)  op(e3, e1) = e1
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (262), (11915), (12030), (12075),
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1258.
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12076)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12076) gives:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12077)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12077) implies:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12078)  op(e2, e1) = e1
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (262), (11915), (12030), (12078),
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #807.
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12079)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12079) implies:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12080)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11962), (12034) imply:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12081)  op(e0, e1) = e1
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (12034), (12063), (12080), (12081),
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #203.
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12082)  all_54_7 = e0
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (11333), (12082) are inconsistent by
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #946.
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12083)   ~ (all_54_6 = e3)
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (276), (12083) imply:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12084)   ~ (all_52_9 = e3)
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12047), (12084), (function-axioms) are
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12085)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12085) gives:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12086)  all_56_8 = e3 & op(e1, e1) = e3
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12086) implies:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12087)  op(e1, e1) = e3
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11918), (12087), (function-axioms) are
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12088)  all_56_14 = e3 & op(e0, e1) = e3
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12088) implies:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12089)  all_56_14 = e3
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12015), (12089) imply:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12090)  e3 = e1
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12007), (12090) imply:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12091)  all_56_13 = e1
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (227), (228), (11339),
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12041), (12091), (function-axioms) are
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #441.
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12092)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12092) gives:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12093)  all_56_4 = e1 & op(e3, e1) = e1
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12093) implies:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12094)  op(e3, e1) = e1
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (262), (11915), (12030), (12094),
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1258.
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12095)  all_56_9 = e1 & op(e3, e0) = e1
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12095) implies:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12096)  all_56_9 = e1
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (164), (11333), (11916), (11938),
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12096), (function-axioms) are inconsistent by
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1303.
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12097)  all_54_14 = e0
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11987), (11994), (12097) are inconsistent by
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #186.
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12098)  all_56_12 = e1 & op(e0, e3) = e1
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12098) implies:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12099)  all_56_12 = e1
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (158), (11331), (11937), (12015), (12099),
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #412.
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12100)  all_56_3 = e2 & op(e2, e2) = e2
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12100) implies:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12101)  op(e2, e2) = e2
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (162), (170), (225), (11329), (11330),
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12007), (12101), (function-axioms) are
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #896.
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12102)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (198), (276), (9574), (11332),
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11989), (12102), (function-axioms) are
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #150.
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12103)  all_56_15 = e1 & op(e0, e0) = e1
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12103) implies:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12104)  op(e0, e0) = e1
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12104), (function-axioms) are
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12105)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12105) gives:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12106)  all_56_14 = e3 & op(e0, e1) = e3
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12106) implies:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12107)  all_56_14 = e3
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (39), (158), (207), (387), (11941),
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11987), (11992), (11993), (11994), (12003),
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12107), (function-axioms) are inconsistent by
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #185.
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12108)  all_56_15 = e3 & op(e0, e0) = e3
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12108) implies:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12109)  op(e0, e0) = e3
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (12109), (function-axioms) are
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | |   (12110)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (11333), (11916), (12110),
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | |            #1304.
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | |   (12111)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12111) gives:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | |   (12112)  all_56_13 = e0 & op(e0, e2) = e0
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12112) implies:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | |   (12113)  op(e0, e2) = e0
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11331), (12113), (function-axioms) are
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1463.
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | |   (12114)  all_56_14 = e0 & op(e0, e1) = e0
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12114) implies:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | |   (12115)  op(e0, e1) = e0
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | |   (12116)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (11339), (11344), (12116),
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | |            #609.
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | |   (12117)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = all_57_27 & $i(all_57_27))
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12117) gives:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | |   (12118)  all_57_30 = e1 & op(e1, e1) = e1
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12118) implies:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | |   (12119)  op(e1, e1) = e1
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11918), (12119), (function-axioms) are
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | |   (12120)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_27))
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12120) gives:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | |   (12121)  all_57_31 = e1 & op(e0, e0) = e1
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12121) implies:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | |   (12122)  op(e0, e0) = e1
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12122), (function-axioms) are
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | |   (12123)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_27)
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12123) implies:
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | |   (12124)  op(e0, e1) = all_57_27
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (11915), (12115), (12124),
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | |            #902.
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | Case 2:
% 180.87/27.80  | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | |   (12125)  all_18_2 = e1
% 180.87/27.80  | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | COMBINE_EQS: (342), (12125) imply:
% 180.87/27.80  | | | | | | | | | | | | |   (12126)  all_4_2 = e1
% 180.87/27.80  | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | SIMP: (12126) implies:
% 180.87/27.80  | | | | | | | | | | | | |   (12127)  all_4_2 = e1
% 180.87/27.80  | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | REDUCE: (351), (12127) imply:
% 180.87/27.80  | | | | | | | | | | | | |   (12128)   ~ (all_52_1 = e1)
% 180.87/27.80  | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | REDUCE: (355), (12127) imply:
% 180.87/27.80  | | | | | | | | | | | | |   (12129)   ~ (all_52_3 = e1)
% 180.87/27.80  | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | REDUCE: (36), (12127) imply:
% 180.87/27.80  | | | | | | | | | | | | |   (12130)  op(e3, e3) = e1
% 180.87/27.80  | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (51), (148), (159), (167), (192),
% 180.87/27.80  | | | | | | | | | | | | |            (200), (251), (253), (264), (284), (9570), (9590),
% 180.87/27.80  | | | | | | | | | | | | |            (11328), (11339), (11342), (12128), (12129),
% 180.87/27.80  | | | | | | | | | | | | |            (12130), (function-axioms) are inconsistent by
% 180.87/27.80  | | | | | | | | | | | | |            sub-proof #147.
% 180.87/27.80  | | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | End of split
% 180.87/27.80  | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | Case 2:
% 180.87/27.80  | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | |   (12131)  all_16_2 = e3
% 180.87/27.80  | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | COMBINE_EQS: (338), (12131) imply:
% 180.87/27.80  | | | | | | | | | | | |   (12132)  all_14_2 = e3
% 180.87/27.80  | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | SIMP: (12132) implies:
% 180.87/27.80  | | | | | | | | | | | |   (12133)  all_14_2 = e3
% 180.87/27.80  | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | COMBINE_EQS: (337), (12133) imply:
% 180.87/27.80  | | | | | | | | | | | |   (12134)  all_24_2 = e3
% 180.87/27.80  | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | REDUCE: (363), (12133) imply:
% 180.87/27.80  | | | | | | | | | | | |   (12135)   ~ (all_52_2 = e3)
% 180.87/27.80  | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | REDUCE: (374), (12133) imply:
% 180.87/27.80  | | | | | | | | | | | |   (12136)   ~ (all_52_6 = e3)
% 180.87/27.80  | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | REDUCE: (376), (12133) imply:
% 180.87/27.80  | | | | | | | | | | | |   (12137)   ~ (all_52_8 = e3)
% 180.87/27.80  | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | REDUCE: (377), (12133) imply:
% 180.87/27.80  | | | | | | | | | | | |   (12138)   ~ (all_52_9 = e3)
% 180.87/27.80  | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | REDUCE: (379), (12133) imply:
% 180.87/27.80  | | | | | | | | | | | |   (12139)   ~ (all_52_11 = e3)
% 180.87/27.80  | | | | | | | | | | | | 
% 180.87/27.80  | | | | | | | | | | | | REDUCE: (381), (12133) imply:
% 180.97/27.80  | | | | | | | | | | | |   (12140)   ~ (all_52_14 = e3)
% 180.97/27.80  | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | REDUCE: (51), (12133) imply:
% 180.97/27.80  | | | | | | | | | | | |   (12141)  op(e1, e1) = e3
% 180.97/27.80  | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | BETA: splitting (220) gives:
% 180.97/27.80  | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | Case 1:
% 180.97/27.80  | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | |   (12142)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 180.97/27.80  | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 180.97/27.80  | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 180.97/27.80  | | | | | | | | | | | | |            (219), (11332), (12138), (12141), (12142),
% 180.97/27.80  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.97/27.80  | | | | | | | | | | | | |            #352.
% 180.97/27.80  | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | Case 2:
% 180.97/27.80  | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | |   (12143)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 180.97/27.80  | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 180.97/27.80  | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | BETA: splitting (12143) gives:
% 180.97/27.80  | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | Case 1:
% 180.97/27.80  | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | |   (12144)  all_56_8 = e3 & op(e1, e1) = e3
% 180.97/27.80  | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | ALPHA: (12144) implies:
% 180.97/27.80  | | | | | | | | | | | | | |   (12145)  all_56_8 = e3
% 180.97/27.80  | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 180.97/27.80  | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | Case 1:
% 180.97/27.80  | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | |   (12146)   ~ (all_18_2 = e1)
% 180.97/27.80  | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | REDUCE: (342), (12146) imply:
% 180.97/27.80  | | | | | | | | | | | | | | |   (12147)   ~ (all_4_2 = e1)
% 180.97/27.80  | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 180.97/27.80  | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80  | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | |   (12148)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.97/27.80  | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 180.97/27.80  | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (11339), (12147), (12148),
% 180.97/27.80  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.97/27.80  | | | | | | | | | | | | | | | |            #609.
% 180.97/27.80  | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80  | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | |   (12149)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.97/27.80  | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 180.97/27.80  | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & $i(all_57_17))
% 180.97/27.80  | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | BETA: splitting (12149) gives:
% 180.97/27.80  | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80  | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | |   (12150)  all_57_30 = e1 & op(e1, e1) = e1
% 180.97/27.80  | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | ALPHA: (12150) implies:
% 180.97/27.80  | | | | | | | | | | | | | | | | |   (12151)  op(e1, e1) = e1
% 180.97/27.80  | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12141), (12151), (function-axioms) are
% 180.97/27.80  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 180.97/27.80  | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80  | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | |   (12152)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.97/27.80  | | | | | | | | | | | | | | | | |              (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 180.97/27.80  | | | | | | | | | | | | | | | | |              $i(all_57_17))
% 180.97/27.80  | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | BETA: splitting (12152) gives:
% 180.97/27.80  | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | |   (12153)  all_57_31 = e1 & op(e0, e0) = e1
% 180.97/27.80  | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | ALPHA: (12153) implies:
% 180.97/27.80  | | | | | | | | | | | | | | | | | |   (12154)  op(e0, e0) = e1
% 180.97/27.80  | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12154), (function-axioms) are
% 180.97/27.80  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 180.97/27.80  | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | |   (12155)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 180.97/27.80  | | | | | | | | | | | | | | | | | |            $i(all_57_17)
% 180.97/27.80  | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | ALPHA: (12155) implies:
% 180.97/27.80  | | | | | | | | | | | | | | | | | |   (12156)   ~ (all_57_17 = e3)
% 180.97/27.80  | | | | | | | | | | | | | | | | | |   (12157)  op(e3, e1) = all_57_17
% 180.97/27.80  | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | |   (12158)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.97/27.80  | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (11339), (12147), (12158),
% 180.97/27.80  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.97/27.80  | | | | | | | | | | | | | | | | | | |            #609.
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | |   (12159)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.97/27.80  | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 180.97/27.80  | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_20 & $i(all_57_20))
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | BETA: splitting (12159) gives:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | |   (12160)  all_57_30 = e1 & op(e1, e1) = e1
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | ALPHA: (12160) implies:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | |   (12161)  op(e1, e1) = e1
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12141), (12161), (function-axioms) are
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | |   (12162)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | |              (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | |              $i(all_57_20))
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | BETA: splitting (12162) gives:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | |   (12163)  all_57_31 = e1 & op(e0, e0) = e1
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | ALPHA: (12163) implies:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | |   (12164)  op(e0, e0) = e1
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12164), (function-axioms) are
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | |   (12165)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20)
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | ALPHA: (12165) implies:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | |   (12166)   ~ (all_57_20 = e2)
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | |   (12167)  op(e2, e1) = all_57_20
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | |   (12168)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (11339), (12147), (12168),
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | |            #609.
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | |   (12169)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = all_57_27 & $i(all_57_27))
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12169) gives:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | |   (12170)  all_57_30 = e1 & op(e1, e1) = e1
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12170) implies:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | |   (12171)  op(e1, e1) = e1
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12141), (12171), (function-axioms) are
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | |   (12172)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_27))
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12172) gives:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | |   (12173)  all_57_31 = e1 & op(e0, e0) = e1
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12173) implies:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | |   (12174)  op(e0, e0) = e1
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12174), (function-axioms) are
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | |   (12175)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_27)
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12175) implies:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | |   (12176)   ~ (all_57_27 = e0)
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | |   (12177)  op(e0, e1) = all_57_27
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | |   (12178)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (11339), (12147), (12178),
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | |            #609.
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | |   (12179)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_30 & $i(all_57_30))
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12179) gives:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12180)  all_57_30 = e1 & op(e1, e1) = e1
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12180) implies:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12181)  op(e1, e1) = e1
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12141), (12181), (function-axioms) are
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12182)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_30))
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12182) gives:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12183)  all_57_31 = e1 & op(e0, e0) = e1
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12183) implies:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12184)  op(e0, e0) = e1
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12184), (function-axioms) are
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12185)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12185) implies:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12186)   ~ (all_57_30 = e1)
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12187)  op(e1, e1) = all_57_30
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (157), (12177)
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12188)  all_57_27 = all_52_11
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30, e1, e1, simplifying with (12141),
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (12187) gives:
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12189)  all_57_30 = e3
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (165), (12167)
% 180.97/27.80  | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12190)  all_57_20 = all_52_9
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17, e1, e3, simplifying with (169), (12157)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12191)  all_57_17 = all_52_8
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12166), (12190) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12192)   ~ (all_52_9 = e2)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12176), (12188) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12193)   ~ (all_52_11 = e0)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12194)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12194) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12195)  all_56_4 = e0 & op(e3, e1) = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12195) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12196)  all_56_4 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (67),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (118), (121), (123), (135), (158), (159), (162),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (169), (170), (190), (198), (202),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (204), (206), (207), (209), (211), (213), (214),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (217), (218), (219), (223), (224), (227),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (228), (229), (231), (232), (233), (234), (248),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (249), (254), (262), (276), (286), (294), (359),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (382), (387), (11330), (11331), (11332), (11333),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11338), (11339), (12134), (12137), (12138),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12139), (12141), (12145), (12147), (12188),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12190), (12191), (12192), (12193), (12196),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #334.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12197)  all_56_5 = e0 & op(e2, e1) = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11332), (12197), (function-axioms) are
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1476.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12198)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (12141), (12177), (12193), (12198),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #872.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81  | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81  | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | End of split
% 180.97/27.81  | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | End of split
% 180.97/27.81  | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | |   (12199)  all_18_2 = e1
% 180.97/27.81  | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | COMBINE_EQS: (342), (12199) imply:
% 180.97/27.81  | | | | | | | | | | | | | | |   (12200)  all_4_2 = e1
% 180.97/27.81  | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | REDUCE: (351), (12200) imply:
% 180.97/27.81  | | | | | | | | | | | | | | |   (12201)   ~ (all_52_1 = e1)
% 180.97/27.81  | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | REDUCE: (353), (12200) imply:
% 180.97/27.81  | | | | | | | | | | | | | | |   (12202)   ~ (all_52_2 = e1)
% 180.97/27.81  | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | REDUCE: (355), (12200) imply:
% 180.97/27.81  | | | | | | | | | | | | | | |   (12203)   ~ (all_52_3 = e1)
% 180.97/27.81  | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | REDUCE: (359), (12200) imply:
% 180.97/27.81  | | | | | | | | | | | | | | |   (12204)   ~ (all_52_8 = e1)
% 180.97/27.81  | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | REDUCE: (361), (12200) imply:
% 180.97/27.81  | | | | | | | | | | | | | | |   (12205)   ~ (all_52_12 = e1)
% 180.97/27.81  | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | |   (12206)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 180.97/27.81  | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 180.97/27.81  | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | BETA: splitting (12206) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | |   (12207)  all_56_0 = e1 & op(e3, e3) = e1
% 180.97/27.81  | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | ALPHA: (12207) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | |   (12208)  all_56_0 = e1
% 180.97/27.81  | | | | | | | | | | | | | | | | |   (12209)  op(e3, e3) = e1
% 180.97/27.81  | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | |   (12210)  all_54_7 = e3
% 180.97/27.81  | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (12210) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | |   (12211)  all_52_13 = e3
% 180.97/27.81  | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | SIMP: (12211) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | |   (12212)  all_52_13 = e3
% 180.97/27.81  | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | REDUCE: (145), (12212) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | |   (12213)   ~ (all_52_1 = e3)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | REDUCE: (113), (12212) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | |   (12214)   ~ (all_52_12 = e3)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | REDUCE: (110), (12212) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | |   (12215)   ~ (all_52_14 = e3)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | |   (12216)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 180.97/27.81  | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (11339), (12213), (12216),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.97/27.81  | | | | | | | | | | | | | | | | | | |            #146.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | |   (12217)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 180.97/27.81  | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | BETA: splitting (12217) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | |   (12218)  all_56_5 = e3 & op(e2, e1) = e3
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | ALPHA: (12218) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | |   (12219)  op(e2, e1) = e3
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12138), (12219), (function-axioms) are
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | |   (12220)  all_56_10 = e3 & op(e2, e0) = e3
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | ALPHA: (12220) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | |   (12221)  all_56_10 = e3
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | |   (12222)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12222) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | |   (12223)  all_56_0 = e3 & op(e3, e3) = e3
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12223) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | |   (12224)  op(e3, e3) = e3
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12209), (12224), (function-axioms) are
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | |   (12225)  all_56_1 = e3 & op(e3, e2) = e3
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12225) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | |   (12226)  all_56_1 = e3
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | |   (12227)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (12209), (12226), (12227),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | |            #1378.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | |   (12228)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12228) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | |   (12229)  all_56_4 = e2 & op(e3, e1) = e2
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12229) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | |   (12230)  all_56_4 = e2
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (12231)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12231) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12232)  all_56_4 = e0 & op(e3, e1) = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12232) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12233)  all_56_4 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (146), (157), (165), (198), (200),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (276), (284), (9572), (11328), (11332),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | |            (12141), (12201), (12213), (12233),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | |            #142.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12234)  all_56_5 = e0 & op(e2, e1) = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11332), (12234), (function-axioms) are
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1476.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (12235)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12235) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12236)  all_56_8 = e0 & op(e1, e1) = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12236) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12237)  op(e1, e1) = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12141), (12237), (function-axioms) are
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12238)  all_56_14 = e0 & op(e0, e1) = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12238) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12239)  op(e0, e1) = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12240)  all_54_4 = e3
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (12213), (12240) are inconsistent by
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1078.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12241)   ~ (all_54_4 = e3)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12242)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12243)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (11329), (12243),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1060.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12244)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12244) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12245)  all_56_4 = e0 & op(e3, e1) = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12245) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12246)  all_56_4 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (146), (157), (165), (198), (219),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (276), (284), (9572), (11328), (11332), (12141),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12201), (12242), (12246), (function-axioms) are
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #143.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12247)  all_56_9 = e0 & op(e3, e0) = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12247) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12248)  all_56_9 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12249)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12249) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12250)  all_56_4 = e1 & op(e3, e1) = e1
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12250) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12251)  all_56_4 = e1
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (12209), (12226), (12248),
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12251), (function-axioms) are inconsistent by
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #671.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12252)  all_56_5 = e1 & op(e2, e1) = e1
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12252) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12253)  all_56_5 = e1
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12242) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12254)  all_54_4 = e2
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (12254) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12255)  all_52_1 = e2
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12255) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12256)  all_52_1 = e2
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (12256) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12257)   ~ (all_52_2 = e2)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12257) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12258)   ~ (all_52_2 = e2)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (12256) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12259)   ~ (all_52_3 = e2)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (12256) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12260)   ~ (all_52_9 = e2)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12260) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12261)   ~ (all_52_9 = e2)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (12256) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12262)  op(e2, e3) = e2
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12263)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12263) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12264)  all_56_2 = e2 & op(e2, e3) = e2
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12264) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12265)  all_56_2 = e2
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12266)  all_54_8 = e3
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (12135), (12266) are inconsistent by
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1243.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12267)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12268)  all_54_6 = e3
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (12138), (12268) are inconsistent by
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1242.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12269)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12270)  all_54_3 = e3
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (12214), (12270) are inconsistent by
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #809.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12271)   ~ (all_54_3 = e3)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12272)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12272) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12273)  all_54_3 = e2
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (9573), (12273) are inconsistent by
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #748.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12274)  all_54_3 = e1 | all_54_3 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12269) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12275)  all_54_6 = e2
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (12261), (12275) are inconsistent by
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1241.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12276)   ~ (all_54_6 = e2)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12277)  all_54_6 = e1 | all_54_6 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12277) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12278)  all_54_6 = e1
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (12278) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12279)  all_52_9 = e1
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12279) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12280)  all_52_9 = e1
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (12280) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12281)   ~ (all_52_11 = e1)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12281) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12282)   ~ (all_52_11 = e1)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12261), (12280) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12283)   ~ (e2 = e1)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (12280) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12284)  op(e2, e1) = e1
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12267) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12285)  all_54_8 = e2
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (12258), (12285) are inconsistent by
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1240.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12286)   ~ (all_54_8 = e2)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12287)  all_54_8 = e1 | all_54_8 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12274) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12288)  all_54_3 = e1
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (12205), (12288) are inconsistent by
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #829.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12289)  all_54_3 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (12289) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12290)  all_52_12 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12290) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12291)  all_52_12 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (12291) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12292)   ~ (all_52_8 = e0)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (12291) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12293)   ~ (all_52_14 = e0)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12293) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12294)   ~ (all_52_14 = e0)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12295)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12295) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12296)  all_56_6 = e0 & op(e1, e3) = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12296) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12297)  all_56_6 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12287) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12298)  all_54_8 = e1
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (12202), (12298) are inconsistent by
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #952.
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12299)  all_54_8 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (12299) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12300)  all_52_2 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12300) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12301)  all_52_2 = e0
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (12301) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12302)   ~ (all_52_3 = e0)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12302) implies:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12303)   ~ (all_52_3 = e0)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12258), (12301) imply:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12304)   ~ (e2 = e0)
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12305)  all_54_12 = e3
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (12305) imply:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12306)  all_52_3 = e3
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12306) implies:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12307)  all_52_3 = e3
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (12307) imply:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12308)   ~ (all_52_7 = e3)
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12308) implies:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12309)   ~ (all_52_7 = e3)
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (12307) imply:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12310)  op(e0, e3) = e3
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12311)  all_54_13 = e3
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (12309), (12311) are inconsistent by
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1302.
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12312)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12313)  all_54_2 = e3
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (12137), (12313) are inconsistent by
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1335.
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12314)   ~ (all_54_2 = e3)
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12315)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12316)  all_54_11 = e3
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (12140), (12316) are inconsistent by
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1336.
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12317)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12318)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12318) gives:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12319)  all_56_12 = e1 & op(e0, e3) = e1
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12319) implies:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12320)  op(e0, e3) = e1
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (159), (235), (12208), (12265),
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12297), (12320), (function-axioms) are
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #738.
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12321)  all_56_13 = e1 & op(e0, e2) = e1
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12321) implies:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12322)  op(e0, e2) = e1
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12323)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12323) gives:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12324)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (12137), (12213), (12324),
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #280.
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12325)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12325) gives:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12326)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12326) implies:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12327)  op(e3, e0) = e3
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (113), (168), (197), (265), (275), (9574),
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (9575), (11333), (12294), (12317), (12327),
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #941.
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12328)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12328) implies:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12329)  op(e3, e2) = e2
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (170), (286), (12204), (12292), (12315),
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12329), (function-axioms) are inconsistent by
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #205.
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 180.97/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12330)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12330) gives:
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12331)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (165), (276), (11332), (12261), (12277),
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12322), (12331), (function-axioms) are
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #141.
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12332)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12332) gives:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12333)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12333) implies:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12334)  op(e3, e1) = e1
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (12204), (12334), (function-axioms) are
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12335)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12335) gives:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12336)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12336) implies:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12337)  op(e1, e2) = e1
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (162), (263), (9571), (11331), (12312),
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12337), (function-axioms) are inconsistent by
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #140.
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12338)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12338) implies:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12339)  op(e0, e1) = all_57_27
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12340)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12340) gives:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12341)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12341) implies:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12342)  all_57_27 = e1
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12339), (12342) imply:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12343)  op(e0, e1) = e1
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (12282), (12343), (function-axioms) are
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1517.
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12344)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12344) implies:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12345)  op(e0, e0) = all_57_31
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12346)  op(e0, e3) = all_57_25
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12347)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31, e0, e0, simplifying with (9590),
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (12345) gives:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12348)  all_57_31 = e2
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12347) gives:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12349)  all_57_31 = e0
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12348), (12349) imply:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12350)  e2 = e0
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12265), (12350) imply:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12351)  all_56_2 = e0
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (223), (224), (11339),
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12284), (12351), (function-axioms) are
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #603.
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12352)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12352) gives:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12353)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12353) implies:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12354)  all_57_25 = e0
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12355)  op(e3, e0) = e0
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12346), (12354) imply:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12356)  op(e0, e3) = e0
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e3,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (12310), (12356) gives:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12357)  e3 = e0
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12226), (12357) imply:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12358)  all_56_1 = e0
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (12209), (12230), (12355),
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12358), (function-axioms) are inconsistent by
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1049.
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12359)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (11333), (12294), (12359),
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1317.
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12360)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (387), (12282), (12360),
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1515.
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12361)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9570), (12203), (12303), (12361) are
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #175.
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12362)  all_56_7 = e0 & op(e1, e2) = e0
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (11330), (12362), (function-axioms) are
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1199.
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12363)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (12141), (12294), (12363),
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #874.
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12364)  all_54_6 = e0
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (11332), (12364) are inconsistent by
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1235.
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12365)  all_56_3 = e2 & op(e2, e2) = e2
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12365) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12366)  op(e2, e2) = e2
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (221), (12221), (12253), (12262),
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12366), (function-axioms) are inconsistent by
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #881.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12367)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (198), (276), (9574), (11332),
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12261), (12367), (function-axioms) are
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #150.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12368)  all_54_4 = e1 | all_54_4 = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (11328), (12201), (12368) are inconsistent
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #737.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12369)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12369) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12370)  all_56_8 = e1 & op(e1, e1) = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12370) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12371)  op(e1, e1) = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12141), (12371), (function-axioms) are
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12372)  all_56_14 = e1 & op(e0, e1) = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12372) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12373)  op(e0, e1) = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12239), (12373), (function-axioms) are
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1171.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | |   (12374)  all_56_9 = e2 & op(e3, e0) = e2
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12374) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | |   (12375)  all_56_9 = e2
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (12376)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (11329), (12376),
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | |            #1060.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (12377)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12377) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12378)  all_56_4 = e0 & op(e3, e1) = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12378) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12379)  all_56_4 = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (146), (157), (165), (198), (200),
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (276), (284), (9572), (11328), (11332),
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | |            (12141), (12201), (12213), (12379),
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | |            #142.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12380)  all_56_9 = e0 & op(e3, e0) = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12375), (12380) are inconsistent by
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1574.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | |   (12381)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12381) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | |   (12382)  all_56_4 = e3 & op(e3, e1) = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12382) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | |   (12383)  all_56_4 = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | |            (219), (11332), (12141), (12383),
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | |            #425.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | |   (12384)  all_56_9 = e3 & op(e3, e0) = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12384) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | |   (12385)  op(e3, e0) = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12214), (12385), (function-axioms) are
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | |   (12386)   ~ (all_54_7 = e3)
% 181.07/27.84  | | | | | | | | | | | | | | | | | |   (12387)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | REDUCE: (275), (12386) imply:
% 181.07/27.84  | | | | | | | | | | | | | | | | | |   (12388)   ~ (all_52_13 = e3)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | |   (12389)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 181.07/27.84  | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | BETA: splitting (12389) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | |   (12390)  all_56_9 = e3 & op(e3, e0) = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | ALPHA: (12390) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | |   (12391)  all_56_9 = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | |   (12392)  op(e3, e0) = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | |   (12393)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12393) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | |   (12394)  all_56_2 = e3 & op(e2, e3) = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12394) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | |   (12395)  all_56_2 = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | |   (12396)  op(e2, e3) = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | |   (12397)  all_56_15 = e0 & op(e0, e0) = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12397) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | |   (12398)  all_56_15 = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9589), (12398) are inconsistent by sub-proof
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | |            #920.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | |   (12399)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12399) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | |   (12400)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12387) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | |   (12401)  all_54_7 = e2
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (9574), (12401) are inconsistent by
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #795.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | |   (12402)   ~ (all_54_7 = e2)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | |   (12403)  all_54_7 = e1 | all_54_7 = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12403) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (12404)  all_54_7 = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (12404) imply:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (12405)  all_52_13 = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12405) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (12406)  all_52_13 = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (12406) imply:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (12407)   ~ (all_52_9 = e1)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (12406) imply:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (12408)   ~ (all_52_14 = e1)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12408) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (12409)   ~ (all_52_14 = e1)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12388), (12406) imply:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (12410)   ~ (e3 = e1)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9574), (12406) imply:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (12411)   ~ (e2 = e1)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12412)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12412) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12413)  all_56_6 = e1 & op(e1, e3) = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12413) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12414)  op(e1, e3) = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (12202), (12414), (function-axioms) are
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1597.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12415)  all_56_7 = e1 & op(e1, e2) = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12415) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12416)  all_56_7 = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12417)  op(e1, e2) = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12418)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e2)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12418) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12419)  all_56_6 = e2 & op(e1, e3) = e2
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12419) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12420)  all_56_6 = e2
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12421)  all_54_6 = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (12421) imply:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12422)  all_52_9 = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12138), (12422) imply:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12423)  $false
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12423) is inconsistent.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12424)   ~ (all_54_6 = e3)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12425)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12426)  all_54_11 = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (12140), (12426) are inconsistent by
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1336.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12427)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12427) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12428)  all_54_11 = e2
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (9575), (12428) are inconsistent by
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1115.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12429)   ~ (all_54_11 = e2)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12430)  all_54_11 = e1 | all_54_11 = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12431)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12431) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12432)  all_56_1 = e2 & op(e3, e2) = e2
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12432) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12433)  all_56_1 = e2
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12434)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (167), (386), (11328), (12434),
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #929.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12435)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12435) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12436)  all_56_6 = e0 & op(e1, e3) = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12420), (12436) are inconsistent by
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1455.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12437)  all_56_12 = e0 & op(e0, e3) = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12437) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12438)  op(e0, e3) = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12425) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12439)  all_54_6 = e2
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (12439) imply:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12440)  all_52_9 = e2
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (12440) imply:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12441)   ~ (all_52_1 = e2)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (12440) imply:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12442)   ~ (all_52_8 = e2)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (12440) imply:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12443)   ~ (all_52_11 = e2)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12138), (12440) imply:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12444)   ~ (e3 = e2)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (12440) imply:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12445)  op(e2, e1) = e2
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12446)  all_54_2 = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (12137), (12446) are inconsistent by
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1335.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12447)   ~ (all_54_2 = e3)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12448)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12449)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (11329), (12449),
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1060.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12450)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12450) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12451)  all_56_4 = e0 & op(e3, e1) = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12451) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12452)  all_56_4 = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12453)  op(e3, e1) = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12454)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (133), (168), (170), (201), (285), (11339),
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12392), (12454), (function-axioms) are
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #139.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12455)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12455) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12456)  all_56_7 = e3 & op(e1, e2) = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12456) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12457)  op(e1, e2) = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12417), (12457), (function-axioms) are
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1263.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12458)  all_56_13 = e3 & op(e0, e2) = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12458) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12459)  all_56_13 = e3
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12448) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12460)  all_54_2 = e2
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (12442), (12460) are inconsistent by
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1480.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12461)  all_54_2 = e1 | all_54_2 = e0
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12462)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12462) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12463)  all_56_12 = e1 & op(e0, e3) = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12463) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12464)  op(e0, e3) = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12438), (12464), (function-axioms) are
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1589.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12465)  all_56_13 = e1 & op(e0, e2) = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12465) implies:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12466)  all_56_13 = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12459), (12466) imply:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12467)  e3 = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12391), (12467) imply:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12468)  all_56_9 = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (169), (234), (236),
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12209), (12452), (12453), (12468),
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1375.
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12469)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12469) gives:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12470)  all_56_14 = e1 & op(e0, e1) = e1
% 181.07/27.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12470) implies:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12471)  op(e0, e1) = e1
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12430) gives:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12472)  all_54_11 = e1
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (12409), (12472) are inconsistent by
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1114.
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12473)  all_54_11 = e0
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (12473) imply:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12474)  all_52_14 = e0
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12474) implies:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12475)  all_52_14 = e0
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (12475) imply:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12476)   ~ (all_52_2 = e0)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9575), (12475) imply:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12477)   ~ (e2 = e0)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12409), (12475) imply:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12478)   ~ (e1 = e0)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (12475) imply:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12479)  op(e1, e0) = e0
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12480)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12480) gives:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12481)  all_56_2 = e1 & op(e2, e3) = e1
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (12201), (12481), (function-axioms) are
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1352.
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12482)  all_56_3 = e1 & op(e2, e2) = e1
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12482) implies:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12483)  op(e2, e2) = e1
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (158), (225), (11331), (12416), (12433),
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12483), (function-axioms) are inconsistent by
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #763.
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12484)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12484) gives:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12485)  all_56_5 = e1 & op(e2, e1) = e1
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12485) implies:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12486)  op(e2, e1) = e1
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12407), (12486), (function-axioms) are
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12487)  all_56_10 = e1 & op(e2, e0) = e1
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12487) implies:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12488)  all_56_10 = e1
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12489)  all_54_8 = e3
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (12135), (12489) are inconsistent by
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1243.
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12490)   ~ (all_54_8 = e3)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12491)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12491) gives:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12492)  all_54_8 = e2
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (12492) imply:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12493)  all_52_2 = e2
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12493) implies:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12494)  all_52_2 = e2
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (12494) imply:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12495)   ~ (all_52_6 = e2)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12495) implies:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12496)   ~ (all_52_6 = e2)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12461) gives:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12497)  all_54_2 = e1
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (12204), (12497) are inconsistent by
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1479.
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12498)  all_54_2 = e0
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (12498) imply:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12499)  all_52_8 = e0
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12499) implies:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12500)  all_52_8 = e0
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (12500) imply:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12501)   ~ (all_52_11 = e0)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12501) implies:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12502)   ~ (all_52_11 = e0)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12503)  all_54_14 = e3
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (12139), (12503) are inconsistent by
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1259.
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12504)   ~ (all_54_14 = e3)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12505)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12505) gives:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12506)  all_54_14 = e2
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (9572), (12506) are inconsistent by
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1234.
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12507)   ~ (all_54_14 = e2)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12508)  all_54_14 = e1 | all_54_14 = e0
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12509)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12509) gives:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12510)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (168), (169), (170), (201), (285), (286),
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12137), (12204), (12392), (12461), (12510),
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #234.
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12511)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12511) gives:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12512)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12512) implies:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12513)  op(e0, e3) = e3
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12508) gives:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12514)  all_54_14 = e1
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (12514) imply:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12515)  all_52_11 = e1
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12515) implies:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12516)  all_52_11 = e1
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e3,
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (12438), (12513) gives:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12517)  e3 = e0
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12395), (12517) imply:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12518)  all_56_2 = e0
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (11339), (12445), (12488),
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12518), (function-axioms) are inconsistent by
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #458.
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12519)  all_54_14 = e0
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (12502), (12519) are inconsistent by
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1306.
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12520)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12520) implies:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12521)  op(e2, e3) = e2
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12505) gives:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12522)  all_54_14 = e2
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (12522) imply:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12523)  all_52_11 = e2
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9572), (12523) imply:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12524)  $false
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12524) is inconsistent.
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e3,
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (12396), (12521) gives:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12525)  e3 = e2
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12395), (12525) imply:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12526)  all_56_2 = e2
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12527)  all_54_4 = e3
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (12527) imply:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12528)  all_52_1 = e3
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12528) implies:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12529)  all_52_1 = e3
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (12529) imply:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12530)   ~ (all_52_9 = e3)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (12529) imply:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12531)   ~ (all_52_13 = e3)
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (164), (165), (224), (11339), (12138),
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12388), (12526), (function-axioms) are
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #137.
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12532)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (284), (12201), (12441), (12521), (12532),
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1076.
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12533)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12533) gives:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12534)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (12396), (12534), (function-axioms)
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #830.
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12535)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12535) gives:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12536)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12536) implies:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12537)  op(e3, e1) = e1
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (190), (262), (9572), (12139),
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12502), (12537), (function-axioms) are
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1256.
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12538)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12538) gives:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12539)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12539) implies:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12540)  op(e2, e1) = e1
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (262), (9572), (12502), (12505),
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12540), (function-axioms) are inconsistent by
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #806.
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12541)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12541) implies:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12542)  op(e0, e1) = all_57_27
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12543)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (12471),
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (12542) gives:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12544)  all_57_27 = e1
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (12409), (12471), (12543), (12544),
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #203.
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12545)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (128), (160), (195), (263), (273), (9571),
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11331), (12136), (12479), (12496), (12545),
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #816.
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12546)  all_54_8 = e1 | all_54_8 = e0
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (12202), (12476), (12546) are inconsistent
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1079.
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12547)  all_56_15 = e1 & op(e0, e0) = e1
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12547) implies:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12548)  op(e0, e0) = e1
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12548), (function-axioms) are
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12549)  all_56_9 = e0 & op(e3, e0) = e0
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12549) implies:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12550)  op(e3, e0) = e0
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12392), (12550), (function-axioms) are
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1189.
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12551)  all_54_6 = e1 | all_54_6 = e0
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (11332), (12407), (12551) are inconsistent
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #255.
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12552)  all_56_3 = e2 & op(e2, e2) = e2
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12552) implies:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12553)  op(e2, e2) = e2
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11339), (12553), (function-axioms) are
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12554)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12554) gives:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12555)  all_56_7 = e2 & op(e1, e2) = e2
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12416), (12555) are inconsistent by
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1008.
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12556)  all_56_13 = e2 & op(e0, e2) = e2
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12556) implies:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12557)  op(e0, e2) = e2
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (12557), (function-axioms) are
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12558)  all_56_7 = e2 & op(e1, e2) = e2
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12416), (12558) are inconsistent by
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1008.
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12559)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e0) = e2)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12559) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12560)  all_56_8 = e2 & op(e1, e1) = e2
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12560) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12561)  op(e1, e1) = e2
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12141), (12561), (function-axioms) are
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12562)  all_56_11 = e2 & op(e1, e0) = e2
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12562) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12563)  all_56_11 = e2
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (164), (11333), (12391), (12400),
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12563), (function-axioms) are inconsistent by
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #453.
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12564)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (12141), (12409), (12564),
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            #791.
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (12565)  all_54_7 = e0
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (11333), (12565) are inconsistent by
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #946.
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |   (12566)  all_56_3 = e3 & op(e2, e2) = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12566) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |   (12567)  op(e2, e2) = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11339), (12567), (function-axioms) are
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | |   (12568)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (12138), (12388), (12568),
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | |            #138.
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | |   (12569)  all_56_10 = e3 & op(e2, e0) = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (12388), (12569), (function-axioms) are
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #209.
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | |   (12570)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 181.07/27.87  | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (9590), (12140), (12570),
% 181.07/27.87  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.87  | | | | | | | | | | | | | | | | | | |            #220.
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | |   (12571)  all_56_2 = e1 & op(e2, e3) = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (12201), (12571), (function-axioms) are
% 181.07/27.87  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1352.
% 181.07/27.87  | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12572)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 181.07/27.87  | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (12202), (12203), (12572),
% 181.07/27.87  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.87  | | | | | | | | | | | | | | | |            #174.
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | |   (12573)  all_56_14 = e3 & op(e0, e1) = e3
% 181.07/27.87  | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | ALPHA: (12573) implies:
% 181.07/27.87  | | | | | | | | | | | | | |   (12574)  all_56_14 = e3
% 181.07/27.87  | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 181.07/27.87  | | | | | | | | | | | | | |            (219), (11332), (12141), (12574),
% 181.07/27.87  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.87  | | | | | | | | | | | | | |            #333.
% 181.07/27.87  | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | |   (12575)  all_14_2 = e2
% 181.07/27.87  | | | | | | | | | | |   (12576)  ( ~ (all_14_0 = e0) & op(e2, e2) = all_14_0 &
% 181.07/27.87  | | | | | | | | | | |              $i(all_14_0)) | ( ~ (all_14_1 = e3) & op(e2, e1)
% 181.07/27.87  | | | | | | | | | | |              = all_14_1 & $i(all_14_1))
% 181.07/27.87  | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | REDUCE: (374), (12575) imply:
% 181.07/27.87  | | | | | | | | | | |   (12577)   ~ (all_52_6 = e2)
% 181.07/27.87  | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | REDUCE: (377), (12575) imply:
% 181.07/27.87  | | | | | | | | | | |   (12578)   ~ (all_52_9 = e2)
% 181.07/27.87  | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | REDUCE: (51), (12575) imply:
% 181.07/27.87  | | | | | | | | | | |   (12579)  op(e1, e1) = e2
% 181.07/27.87  | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | BETA: splitting (223) gives:
% 181.07/27.87  | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | |   (12580)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 181.07/27.87  | | | | | | | | | | | |              & op(e2, e2) = e2)
% 181.07/27.87  | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | BETA: splitting (12580) gives:
% 181.07/27.87  | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | |   (12581)  all_56_2 = e2 & op(e2, e3) = e2
% 181.07/27.87  | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | ALPHA: (12581) implies:
% 181.07/27.87  | | | | | | | | | | | | |   (12582)  all_56_2 = e2
% 181.07/27.87  | | | | | | | | | | | | |   (12583)  op(e2, e3) = e2
% 181.07/27.87  | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | BETA: splitting (227) gives:
% 181.07/27.87  | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | |   (12584)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 181.07/27.87  | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 181.07/27.87  | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | BETA: splitting (12584) gives:
% 181.07/27.87  | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | |   (12585)  all_56_1 = e2 & op(e3, e2) = e2
% 181.07/27.87  | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | ALPHA: (12585) implies:
% 181.07/27.87  | | | | | | | | | | | | | | |   (12586)  op(e3, e2) = e2
% 181.07/27.87  | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | BETA: splitting (12576) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12587)   ~ (all_14_0 = e0) & op(e2, e2) = all_14_0 &
% 181.07/27.87  | | | | | | | | | | | | | | | |            $i(all_14_0)
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | REF_CLOSE: (11339), (12587), (function-axioms) are
% 181.07/27.87  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #332.
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12588)   ~ (all_14_1 = e3) & op(e2, e1) = all_14_1 &
% 181.07/27.87  | | | | | | | | | | | | | | | |            $i(all_14_1)
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | ALPHA: (12588) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12589)   ~ (all_14_1 = e3)
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12590)  op(e2, e1) = all_14_1
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 181.07/27.87  | | | | | | | | | | | | | | | |              all_14_1, e1, e2, simplifying with (165), (12590)
% 181.07/27.87  | | | | | | | | | | | | | | | |              gives:
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12591)  all_52_9 = all_14_1
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 181.07/27.87  | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (12583) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12592)  all_52_1 = e2
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 181.07/27.87  | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (12586) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12593)  all_52_4 = e2
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (12591) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12594)  all_54_6 = all_14_1
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | REDUCE: (149), (12592) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12595)   ~ (all_52_2 = e2)
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | SIMP: (12595) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12596)   ~ (all_52_2 = e2)
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | REDUCE: (148), (12592) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12597)   ~ (all_52_3 = e2)
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | REDUCE: (145), (12592) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12598)   ~ (all_52_13 = e2)
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | REDUCE: (136), (12593) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12599)   ~ (all_52_6 = e2)
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | REDUCE: (135), (12593) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12600)   ~ (all_52_7 = e2)
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | REDUCE: (123), (12591) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12601)   ~ (all_52_8 = all_14_1)
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | REDUCE: (118), (12591) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12602)   ~ (all_52_11 = all_14_1)
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | SIMP: (12602) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12603)   ~ (all_52_11 = all_14_1)
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | REDUCE: (117), (12591) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12604)   ~ (all_52_13 = all_14_1)
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | SIMP: (12604) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12605)   ~ (all_52_13 = all_14_1)
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | REDUCE: (12578), (12591) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12606)   ~ (all_14_1 = e2)
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | REDUCE: (11332), (12591) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | |   (12607)   ~ (all_14_1 = e0)
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | |   (12608)  all_54_6 = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | COMBINE_EQS: (12594), (12608) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | | |   (12609)  all_14_1 = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | SIMP: (12609) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | | |   (12610)  all_14_1 = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | REDUCE: (12589), (12610) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | | |   (12611)  $false
% 181.07/27.87  | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | CLOSE: (12611) is inconsistent.
% 181.07/27.87  | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | |   (12612)   ~ (all_54_6 = e3)
% 181.07/27.87  | | | | | | | | | | | | | | | | |   (12613)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 181.07/27.87  | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | BETA: splitting (12613) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | |   (12614)  all_54_6 = e2
% 181.07/27.87  | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12594), (12614) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | | | |   (12615)  all_14_1 = e2
% 181.07/27.87  | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | SIMP: (12615) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | | | |   (12616)  all_14_1 = e2
% 181.07/27.87  | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | REDUCE: (12606), (12616) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | | | |   (12617)  $false
% 181.07/27.87  | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | CLOSE: (12617) is inconsistent.
% 181.07/27.87  | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | |   (12618)   ~ (all_54_6 = e2)
% 181.07/27.87  | | | | | | | | | | | | | | | | | |   (12619)  all_54_6 = e1 | all_54_6 = e0
% 181.07/27.87  | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | |   (12620)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (11339), (12582), (12620),
% 181.07/27.87  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.87  | | | | | | | | | | | | | | | | | | |            #384.
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | |   (12621)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 181.07/27.87  | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | BETA: splitting (12621) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | |   (12622)  all_56_5 = e3 & op(e2, e1) = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | ALPHA: (12622) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | |   (12623)  all_56_5 = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | |   (12624)  op(e2, e1) = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | |   (12625)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12625) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |   (12626)  all_56_2 = e1 & op(e2, e3) = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12582), (12626) are inconsistent by
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1416.
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |   (12627)  all_56_3 = e1 & op(e2, e2) = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12627) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |   (12628)  op(e2, e2) = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (164), (221), (11333), (12583),
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |            (12623), (12628), (function-axioms) are
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1308.
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | |   (12629)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12629) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |   (12630)  all_56_5 = e1 & op(e2, e1) = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12630) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |   (12631)  op(e2, e1) = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12624), (12631), (function-axioms) are
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |   (12632)  all_56_10 = e1 & op(e2, e0) = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12632) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |   (12633)  all_56_10 = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12619) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | |   (12634)  all_54_6 = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12594), (12634) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | |   (12635)  all_14_1 = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12635) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | |   (12636)  all_14_1 = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12589), (12636) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | |   (12637)   ~ (e3 = e1)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12606), (12636) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | |   (12638)   ~ (e2 = e1)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12590), (12636) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | |   (12639)  op(e2, e1) = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | |            (220), (223), (224), (11332), (11338), (12579),
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | |            (12633), (12639), (function-axioms) are
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #329.
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | |   (12640)  all_54_6 = e0
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12594), (12607), (12640) are inconsistent by
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #136.
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | |   (12641)  all_56_10 = e3 & op(e2, e0) = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | ALPHA: (12641) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | |   (12642)  all_56_10 = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | BETA: splitting (12619) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | |   (12643)  all_54_6 = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12594), (12643) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | |   (12644)  all_14_1 = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | SIMP: (12644) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | |   (12645)  all_14_1 = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | REDUCE: (12601), (12645) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | |   (12646)   ~ (all_52_8 = e1)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | REDUCE: (12603), (12645) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | |   (12647)   ~ (all_52_11 = e1)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | REDUCE: (12605), (12645) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | |   (12648)   ~ (all_52_13 = e1)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | REDUCE: (12606), (12645) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | |   (12649)   ~ (e2 = e1)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | REDUCE: (12590), (12645) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | |   (12650)  op(e2, e1) = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |   (12651)  all_54_7 = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (12651) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |   (12652)  all_52_13 = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | SIMP: (12652) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |   (12653)  all_52_13 = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (12653) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |   (12654)   ~ (all_52_14 = e3)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | SIMP: (12654) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |   (12655)   ~ (all_52_14 = e3)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (12653) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | |   (12656)  op(e2, e0) = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | |   (12657)   ~ (all_22_2 = e2)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9569), (12657) imply:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | |   (12658)  $false
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12658) is inconsistent.
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | |   (12659)  ( ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_22_0)) | ( ~ (all_22_1 = e3) & op(e2, e0)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | |              = all_22_1 & $i(all_22_1))
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | |   (12660)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12660) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (12661)  all_57_28 = e3 & op(e3, e3) = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12661) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (12662)  all_57_28 = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (12663)  op(e3, e3) = e3
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12664)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11339), (12663), (12664),
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            #135.
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12665)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & $i(all_57_17))
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12665) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12666)  all_57_30 = e1 & op(e1, e1) = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12666) implies:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12667)  op(e1, e1) = e1
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (169), (170), (210), (213), (215), (216),
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (219), (220), (223), (224), (230), (386),
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (11329), (11330), (11332), (11338),
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11339), (12582), (12650), (12667),
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #482.
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12668)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_17))
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12668) gives:
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12669)  all_57_31 = e1 & op(e0, e0) = e1
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12669) implies:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12670)  op(e0, e0) = e1
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12670), (function-axioms) are
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12671)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12671) implies:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12672)   ~ (all_57_17 = e3)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12673)  op(e3, e1) = all_57_17
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12674)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11339), (12663), (12674),
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #135.
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12675)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_20 & $i(all_57_20))
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12675) gives:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12676)  all_57_30 = e1 & op(e1, e1) = e1
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12676) implies:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12677)  op(e1, e1) = e1
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (169), (170), (210), (213), (215), (216),
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (219), (220), (223), (224), (230), (386),
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (11329), (11330), (11332), (11338),
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11339), (12582), (12650), (12677),
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #482.
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12678)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20))
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12678) gives:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12679)  all_57_31 = e1 & op(e0, e0) = e1
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12679) implies:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12680)  op(e0, e0) = e1
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12680), (function-axioms) are
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12681)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12681) implies:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12682)  op(e2, e1) = all_57_20
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12683)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11339), (12663), (12683),
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #135.
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12684)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_30 & $i(all_57_30))
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12684) gives:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12685)  all_57_30 = e1 & op(e1, e1) = e1
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12685) implies:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12686)  op(e1, e1) = e1
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (162),
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (165), (169), (170), (210), (213), (215), (216),
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (217), (219), (220), (223), (224), (230), (386),
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (387), (11329), (11330), (11332), (11338),
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11339), (12582), (12650), (12686),
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #482.
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12687)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_30))
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12687) gives:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12688)  all_57_31 = e1 & op(e0, e0) = e1
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12688) implies:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12689)  op(e0, e0) = e1
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12689), (function-axioms) are
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12690)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12690) implies:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12691)   ~ (all_57_30 = e1)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12692)  op(e1, e1) = all_57_30
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12693)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11339), (12663), (12693),
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #135.
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12694)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = all_57_27 & $i(all_57_27))
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12694) gives:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12695)  all_57_30 = e1 & op(e1, e1) = e1
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12695) implies:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12696)  op(e1, e1) = e1
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12691), (12692), (12696), (function-axioms) are
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12697)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_27))
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12697) gives:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12698)  all_57_31 = e1 & op(e0, e0) = e1
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12698) implies:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12699)  op(e0, e0) = e1
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (12699), (function-axioms) are
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12700)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_27)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12700) implies:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12701)   ~ (all_57_27 = e0)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12659) gives:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12702)   ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_0)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12702) implies:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12703)   ~ (all_22_0 = e1)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12704)  op(e2, e2) = all_22_0
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12705)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12705) gives:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12706)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12706) gives:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12707)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12707) implies:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12708)   ~ (all_57_28 = e2)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12709)  op(e3, e2) = e3
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e2,
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, simplifying with (12586), (12709) gives:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12710)  e3 = e2
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (12710) imply:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12711)  $false
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12711) is inconsistent.
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12712)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12712) implies:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12713)  all_57_17 = e3
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12672), (12713) imply:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12714)  $false
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12714) is inconsistent.
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12715)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12715) gives:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12716)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12716) implies:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12717)  op(e3, e0) = e3
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (168), (197), (275), (9574), (11333),
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12648), (12717), (function-axioms) are
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #943.
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12718)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12718) implies:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12719)   ~ (all_57_6 = e1)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12720)  op(e2, all_57_20) = all_57_6
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (12650),
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (12682) gives:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12721)  all_57_20 = e1
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12682), (12719), (12720), (12721),
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #340.
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12722)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12722) gives:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12723)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (9571), (12578), (12682), (12723),
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1260.
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12724)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12724) gives:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12725)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12725) implies:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12726)  op(e3, e1) = e1
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (12646), (12726), (function-axioms) are
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12727)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12727) gives:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12728)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12728) implies:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12729)   ~ (all_57_30 = e2)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12579), (12692), (12729), (function-axioms) are
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #661.
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12730)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12730) implies:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12731)  op(e0, e1) = all_57_27
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12732)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (157), (12731)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12733)  all_57_27 = all_52_11
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30, e1, e1, simplifying with (12579),
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (12692) gives:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12734)  all_57_30 = e2
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (12650),
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (12682) gives:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12735)  all_57_20 = e1
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_22_0,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e2, simplifying with (11339), (12704) gives:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12736)  all_22_0 = e0
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17, e1, e3, simplifying with (169), (12673)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12737)  all_57_17 = all_52_8
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e3,
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e3, simplifying with (36), (12663) gives:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12738)  all_4_2 = e3
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12701), (12733) imply:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12739)   ~ (all_52_11 = e0)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (12738) imply:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12740)   ~ (all_52_2 = e3)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12703), (12736) imply:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12741)   ~ (e1 = e0)
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12742)  all_54_14 = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (12742) imply:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12743)  all_52_11 = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12743) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12744)  all_52_11 = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12733), (12744) imply:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12745)  all_57_27 = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (12744) imply:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12746)   ~ (all_52_3 = e3)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (12744) imply:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12747)   ~ (all_52_7 = e3)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (12744) imply:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12748)   ~ (all_52_8 = e3)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12749)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12749) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12750)  all_56_4 = e3 & op(e3, e1) = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12750) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12751)  op(e3, e1) = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (12748), (12751), (function-axioms) are
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12752)  all_56_5 = e3 & op(e2, e1) = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12752) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12753)  op(e2, e1) = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (165), (197), (275), (9574), (11333),
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12648), (12753), (function-axioms) are
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #552.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12754)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12754) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12755)  all_56_8 = e3 & op(e1, e1) = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12755) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12756)  op(e1, e1) = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12579), (12756), (function-axioms) are
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12757)  all_56_14 = e3 & op(e0, e1) = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12757) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12758)  all_56_14 = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12759)  all_54_13 = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (12747), (12759) are inconsistent by
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1302.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12760)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12761)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (135), (158), (162), (170), (227),
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11339), (12577), (12586), (12761),
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #420.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12762)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12762) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12763)  all_56_7 = e3 & op(e1, e2) = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12763) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12764)  all_56_7 = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12765)  op(e1, e2) = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12766)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (11339), (12586), (12766),
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #134.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12767)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12767) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12768)  all_56_7 = e1 & op(e1, e2) = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12768) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12769)  op(e1, e2) = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12765), (12769), (function-axioms) are
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1263.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12770)  all_56_13 = e1 & op(e0, e2) = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12770) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12771)  all_56_13 = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12760) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12772)  all_54_13 = e2
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (9571), (12772) are inconsistent by
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1185.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12773)  all_54_13 = e1 | all_54_13 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12774)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12774) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12775)  all_56_0 = e1 & op(e3, e3) = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12775) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12776)  op(e3, e3) = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12663), (12776), (function-axioms) are
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12777)  all_56_1 = e1 & op(e3, e2) = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12777) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12778)  all_56_1 = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (227), (11339), (12764), (12771),
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12778), (function-axioms) are inconsistent by
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1428.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12779)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12779) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12780)  all_56_4 = e1 & op(e3, e1) = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12780) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12781)  op(e3, e1) = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (12646), (12781), (function-axioms) are
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12782)  all_56_9 = e1 & op(e3, e0) = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12782) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12783)  all_56_9 = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12784)  op(e3, e0) = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12732) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12785)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12785) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12786)  all_57_27 = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12745), (12786) imply:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12787)  e3 = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12642), (12787) imply:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12788)  all_56_10 = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (11338), (12582), (12650),
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12788), (function-axioms) are inconsistent by
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #787.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12789)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12789) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12790)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12790) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12791)  all_57_31 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (12647), (12731), (12732), (12791),
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #224.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12792)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12773) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12793)  all_54_13 = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (12793) imply:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12794)  all_52_7 = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12794) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12795)  all_52_7 = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (12795) imply:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12796)   ~ (all_52_3 = e1)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12797)  all_54_12 = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (12746), (12797) are inconsistent by
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1265.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12798)   ~ (all_54_12 = e3)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12799)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12799) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12800)  all_54_12 = e2
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9570), (12800) are inconsistent by
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #709.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12801)   ~ (all_54_12 = e2)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12802)  all_54_12 = e1 | all_54_12 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12802) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12803)  all_54_12 = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (12796), (12803) are inconsistent by
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #204.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12804)  all_54_12 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (12804) imply:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12805)  all_52_3 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12805) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12806)  all_52_3 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (12806) imply:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12807)   ~ (all_52_2 = e0)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9570), (12806) imply:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12808)   ~ (e2 = e0)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12809)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12809) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12810)  all_56_4 = e0 & op(e3, e1) = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12810) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12811)  op(e3, e1) = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12812)  all_54_8 = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (12740), (12812) are inconsistent by
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1243.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12813)   ~ (all_54_8 = e3)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12814)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12814) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12815)  all_54_8 = e2
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (12596), (12815) are inconsistent by
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1240.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12816)  all_54_8 = e1 | all_54_8 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12816) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12817)  all_54_8 = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (12817) imply:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12818)  all_52_2 = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12818) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12819)  all_52_2 = e1
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (12819) imply:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12820)   ~ (all_52_14 = e1)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12820) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12821)   ~ (all_52_14 = e1)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12740), (12819) imply:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12822)   ~ (e3 = e1)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12792) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12823)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12823) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12824)  op(e3, e0) = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12825)  all_54_11 = e3
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (12655), (12825) are inconsistent by
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1336.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12826)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12826) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12827)  all_54_11 = e2
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (9575), (12827) are inconsistent by
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1115.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12828)  all_54_11 = e1 | all_54_11 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (160), (210), (265), (387), (12642),
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12783), (12784), (12821), (12824), (12828),
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #171.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12829)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12829) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12830)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12830) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12831)  op(e2, e0) = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (11333), (12831), (function-axioms) are
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1504.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12832)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12832) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12833)  all_57_27 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12745), (12833) imply:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12834)  e3 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12758), (12834) imply:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12835)  all_56_14 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (220), (12579), (12650),
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12811), (12835), (function-axioms) are
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #229.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12836)  all_54_8 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (12807), (12836) are inconsistent by
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1236.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12837)  all_56_5 = e0 & op(e2, e1) = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11332), (12837), (function-axioms) are
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1476.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12838)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12838) gives:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12839)  all_56_8 = e0 & op(e1, e1) = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12839) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12840)  op(e1, e1) = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12579), (12840), (function-axioms) are
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12841)  all_56_14 = e0 & op(e0, e1) = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12841) implies:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12842)  op(e0, e1) = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (12731), (12739), (12842),
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #902.
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12843)  all_54_13 = e0
% 181.07/27.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (11331), (12843) are inconsistent by
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1312.
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12844)  all_56_13 = e3 & op(e0, e2) = e3
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12844) implies:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12845)  all_56_13 = e3
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12846)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (11339), (12586), (12846),
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #134.
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12847)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12847) gives:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12848)  all_56_7 = e1 & op(e1, e2) = e1
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12848) implies:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12849)  op(e1, e2) = e1
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (162), (263), (9571), (11331), (12760),
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12849), (function-axioms) are inconsistent by
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #140.
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12850)  all_56_13 = e1 & op(e0, e2) = e1
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12850) implies:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12851)  all_56_13 = e1
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (11338), (12582), (12642),
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12650), (12845), (12851), (function-axioms) are
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #337.
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12852)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (262), (9572), (12650), (12739),
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12852), (function-axioms) are inconsistent by
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #806.
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12853)   ~ (all_22_1 = e3) & op(e2, e0) = all_22_1 &
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_22_1)
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12853) implies:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12854)   ~ (all_22_1 = e3)
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12855)  op(e2, e0) = all_22_1
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12656), (12854), (12855), (function-axioms) are
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #197.
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (12856)  all_57_29 = e3 & op(e2, e2) = e3
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12856) implies:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (12857)  op(e2, e2) = e3
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11339), (12857), (function-axioms) are
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | |   (12858)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & $i(all_57_19))
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12858) gives:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (12859)  all_57_30 = e3 & op(e1, e1) = e3
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12859) implies:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (12860)  op(e1, e1) = e3
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12579), (12860), (function-axioms) are
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | |   (12861)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19))
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12861) gives:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12862)  all_57_31 = e3 & op(e0, e0) = e3
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12862) implies:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12863)  op(e0, e0) = e3
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (12863), (function-axioms) are
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12864)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19)
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12864) implies:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12865)   ~ (all_57_19 = e2)
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12866)  op(e2, e3) = all_57_19
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12583), (12865), (12866), (function-axioms) are
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #180.
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | |   (12867)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (9574), (11333), (12648), (12867) are
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #944.
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | |   (12868)  all_54_6 = e0
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12594), (12607), (12868) are inconsistent by
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | |            sub-proof #136.
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | |   (12869)  all_56_3 = e2 & op(e2, e2) = e2
% 181.07/27.91  | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | ALPHA: (12869) implies:
% 181.07/27.91  | | | | | | | | | | | | | | |   (12870)  op(e2, e2) = e2
% 181.07/27.91  | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | REF_CLOSE: (5), (164), (165), (221), (11332), (11333),
% 181.07/27.91  | | | | | | | | | | | | | | |            (12582), (12870), (function-axioms) are
% 181.07/27.91  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1194.
% 181.07/27.91  | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | |   (12871)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 181.07/27.91  | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 181.07/27.91  | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (9571), (12577), (12871),
% 181.07/27.91  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.91  | | | | | | | | | | | | | |            #165.
% 181.07/27.91  | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | |   (12872)  all_56_3 = e2 & op(e2, e2) = e2
% 181.07/27.91  | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | ALPHA: (12872) implies:
% 181.07/27.91  | | | | | | | | | | | | |   (12873)  op(e2, e2) = e2
% 181.07/27.91  | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | REF_CLOSE: (5), (11339), (12873), (function-axioms) are
% 181.07/27.91  | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 181.07/27.91  | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | |   (12874)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 181.07/27.91  | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 181.07/27.91  | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | REF_CLOSE: (164), (165), (198), (276), (9574), (11332),
% 181.07/27.91  | | | | | | | | | | | |            (12578), (12874), (function-axioms) are
% 181.07/27.91  | | | | | | | | | | | |            inconsistent by sub-proof #150.
% 181.07/27.91  | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | | 
% 181.07/27.91  | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | 
% 181.07/27.91  | | | | | | | | |   (12875)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0
% 181.07/27.91  | | | | | | | | |              & op(e2, e0) = e0)
% 181.07/27.91  | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | REF_CLOSE: (164), (165), (11332), (11333), (12875),
% 181.07/27.91  | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.91  | | | | | | | | |            #1195.
% 181.07/27.91  | | | | | | | | | 
% 181.07/27.91  | | | | | | | | End of split
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | End of split
% 181.07/27.91  | | | | | | | 
% 181.07/27.91  | | | | | | Case 2:
% 181.07/27.91  | | | | | | | 
% 181.07/27.91  | | | | | | |   (12876)  all_10_2 = e3
% 181.07/27.91  | | | | | | | 
% 181.07/27.91  | | | | | | | REDUCE: (362), (12876) imply:
% 181.07/27.91  | | | | | | |   (12877)   ~ (all_52_1 = e3)
% 181.07/27.91  | | | | | | | 
% 181.07/27.91  | | | | | | | REDUCE: (365), (12876) imply:
% 181.07/27.91  | | | | | | |   (12878)   ~ (all_52_4 = e3)
% 181.07/27.91  | | | | | | | 
% 181.07/27.91  | | | | | | | REDUCE: (367), (12876) imply:
% 181.07/27.91  | | | | | | |   (12879)   ~ (all_52_6 = e3)
% 181.07/27.91  | | | | | | | 
% 181.07/27.91  | | | | | | | REDUCE: (371), (12876) imply:
% 181.07/27.91  | | | | | | |   (12880)   ~ (all_52_9 = e3)
% 181.07/27.91  | | | | | | | 
% 181.07/27.91  | | | | | | | REDUCE: (373), (12876) imply:
% 181.07/27.91  | | | | | | |   (12881)   ~ (all_52_13 = e3)
% 181.07/27.91  | | | | | | | 
% 181.07/27.91  | | | | | | | REDUCE: (45), (12876) imply:
% 181.07/27.91  | | | | | | |   (12882)  op(e2, e2) = e3
% 181.07/27.91  | | | | | | | 
% 181.07/27.91  | | | | | | | BETA: splitting (9566) gives:
% 181.07/27.91  | | | | | | | 
% 181.07/27.91  | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | |   (12883)   ~ (all_8_0 = e3) & op(e2, e2) = all_8_0 &
% 181.07/27.91  | | | | | | | |            $i(all_8_0)
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | | ALPHA: (12883) implies:
% 181.07/27.91  | | | | | | | |   (12884)   ~ (all_8_0 = e3)
% 181.07/27.91  | | | | | | | |   (12885)  op(e2, e2) = all_8_0
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_0,
% 181.07/27.91  | | | | | | | |              e2, e2, simplifying with (12882), (12885) gives:
% 181.07/27.91  | | | | | | | |   (12886)  all_8_0 = e3
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | | REDUCE: (12884), (12886) imply:
% 181.07/27.91  | | | | | | | |   (12887)  $false
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | | CLOSE: (12887) is inconsistent.
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | |   (12888)   ~ (all_8_1 = e1) & op(e2, e0) = all_8_1 &
% 181.07/27.91  | | | | | | | |            $i(all_8_1)
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | | ALPHA: (12888) implies:
% 181.07/27.91  | | | | | | | |   (12889)   ~ (all_8_1 = e1)
% 181.07/27.91  | | | | | | | |   (12890)  op(e2, e0) = all_8_1
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 181.07/27.91  | | | | | | | |              all_8_1, e0, e2, simplifying with (164), (12890)
% 181.07/27.91  | | | | | | | |              gives:
% 181.07/27.91  | | | | | | | |   (12891)  all_52_13 = all_8_1
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | | COMBINE_EQS: (275), (12891) imply:
% 181.07/27.91  | | | | | | | |   (12892)  all_54_7 = all_8_1
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | | REDUCE: (145), (12891) imply:
% 181.07/27.91  | | | | | | | |   (12893)   ~ (all_52_1 = all_8_1)
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | | REDUCE: (117), (12891) imply:
% 181.07/27.91  | | | | | | | |   (12894)   ~ (all_52_9 = all_8_1)
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | | REDUCE: (113), (12891) imply:
% 181.07/27.91  | | | | | | | |   (12895)   ~ (all_52_12 = all_8_1)
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | | REDUCE: (110), (12891) imply:
% 181.07/27.91  | | | | | | | |   (12896)   ~ (all_52_14 = all_8_1)
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | | SIMP: (12896) implies:
% 181.07/27.91  | | | | | | | |   (12897)   ~ (all_52_14 = all_8_1)
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | | REDUCE: (12881), (12891) imply:
% 181.07/27.91  | | | | | | | |   (12898)   ~ (all_8_1 = e3)
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | | REDUCE: (9574), (12891) imply:
% 181.07/27.91  | | | | | | | |   (12899)   ~ (all_8_1 = e2)
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | | BETA: splitting (197) gives:
% 181.07/27.91  | | | | | | | | 
% 181.07/27.91  | | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | | 
% 181.07/27.91  | | | | | | | | |   (12900)  all_54_7 = e3
% 181.07/27.91  | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | REF_CLOSE: (12892), (12898), (12900) are inconsistent by
% 181.07/27.91  | | | | | | | | |            sub-proof #133.
% 181.07/27.91  | | | | | | | | | 
% 181.07/27.91  | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | 
% 181.07/27.91  | | | | | | | | |   (12901)   ~ (all_54_7 = e3)
% 181.07/27.91  | | | | | | | | |   (12902)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 181.07/27.91  | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | BETA: splitting (12902) gives:
% 181.07/27.91  | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | |   (12903)  all_54_7 = e2
% 181.07/27.91  | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | REF_CLOSE: (12892), (12899), (12903) are inconsistent by
% 181.07/27.91  | | | | | | | | | |            sub-proof #132.
% 181.07/27.91  | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | |   (12904)   ~ (all_54_7 = e2)
% 181.07/27.91  | | | | | | | | | |   (12905)  all_54_7 = e1 | all_54_7 = e0
% 181.07/27.91  | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | BETA: splitting (12905) gives:
% 181.07/27.91  | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | |   (12906)  all_54_7 = e1
% 181.07/27.91  | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | REF_CLOSE: (12889), (12892), (12906) are inconsistent by
% 181.07/27.91  | | | | | | | | | | |            sub-proof #131.
% 181.07/27.91  | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | |   (12907)  all_54_7 = e0
% 181.07/27.91  | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | COMBINE_EQS: (12892), (12907) imply:
% 181.07/27.91  | | | | | | | | | | |   (12908)  all_8_1 = e0
% 181.07/27.91  | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | SIMP: (12908) implies:
% 181.07/27.91  | | | | | | | | | | |   (12909)  all_8_1 = e0
% 181.07/27.91  | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | REDUCE: (12893), (12909) imply:
% 181.07/27.91  | | | | | | | | | | |   (12910)   ~ (all_52_1 = e0)
% 181.07/27.91  | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | REDUCE: (12894), (12909) imply:
% 181.07/27.91  | | | | | | | | | | |   (12911)   ~ (all_52_9 = e0)
% 181.07/27.91  | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | REDUCE: (12895), (12909) imply:
% 181.07/27.91  | | | | | | | | | | |   (12912)   ~ (all_52_12 = e0)
% 181.07/27.91  | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | REDUCE: (12897), (12909) imply:
% 181.07/27.91  | | | | | | | | | | |   (12913)   ~ (all_52_14 = e0)
% 181.07/27.91  | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | REDUCE: (12898), (12909) imply:
% 181.07/27.91  | | | | | | | | | | |   (12914)   ~ (e3 = e0)
% 181.07/27.91  | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | REDUCE: (12899), (12909) imply:
% 181.07/27.91  | | | | | | | | | | |   (12915)   ~ (e2 = e0)
% 181.07/27.91  | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | REDUCE: (12889), (12909) imply:
% 181.07/27.91  | | | | | | | | | | |   (12916)   ~ (e1 = e0)
% 181.07/27.91  | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | REDUCE: (12890), (12909) imply:
% 181.07/27.91  | | | | | | | | | | |   (12917)  op(e2, e0) = e0
% 181.07/27.91  | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | BETA: splitting (52) gives:
% 181.07/27.91  | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | |   (12918)   ~ (all_14_2 = e2)
% 181.07/27.91  | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | BETA: splitting (55) gives:
% 181.07/27.91  | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | |   (12919)   ~ (all_16_2 = e3)
% 181.07/27.91  | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | REDUCE: (338), (12919) imply:
% 181.07/27.91  | | | | | | | | | | | | |   (12920)   ~ (all_14_2 = e3)
% 181.07/27.91  | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | BETA: splitting (58) gives:
% 181.07/27.91  | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | |   (12921)   ~ (all_18_2 = e1)
% 181.07/27.91  | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | REDUCE: (342), (12921) imply:
% 181.07/27.91  | | | | | | | | | | | | | |   (12922)   ~ (all_4_2 = e1)
% 181.07/27.91  | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 181.07/27.91  | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | |   (12923)   ~ (all_26_2 = e0)
% 181.07/27.91  | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | REDUCE: (318), (12923) imply:
% 181.07/27.91  | | | | | | | | | | | | | | |   (12924)   ~ (all_14_2 = e0)
% 181.07/27.91  | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 181.07/27.91  | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | |   (12925)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 181.07/27.91  | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 181.07/27.91  | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (12882), (12925),
% 181.07/27.91  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.91  | | | | | | | | | | | | | | | |            #285.
% 181.07/27.91  | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | |   (12926)  (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 181.07/27.91  | | | | | | | | | | | | | | | |              all_57_31 & $i(all_57_31))
% 181.07/27.91  | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | BETA: splitting (12926) gives:
% 181.07/27.91  | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | |   (12927)  all_57_30 = e0 & op(e1, e1) = e0
% 181.07/27.91  | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (12918), (12920), (12924),
% 181.07/27.91  | | | | | | | | | | | | | | | | |            (12927), (function-axioms) are inconsistent by
% 181.07/27.91  | | | | | | | | | | | | | | | | |            sub-proof #1616.
% 181.07/27.91  | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | |   (12928)  op(e0, e0) = all_57_31 & $i(all_57_31)
% 181.07/27.91  | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | ALPHA: (12928) implies:
% 181.07/27.91  | | | | | | | | | | | | | | | | |   (12929)  op(e0, e0) = all_57_31
% 181.07/27.91  | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 181.07/27.91  | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | |   (12930)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 181.07/27.91  | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 181.07/27.91  | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (12882), (12930),
% 181.07/27.91  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.91  | | | | | | | | | | | | | | | | | |            #285.
% 181.07/27.91  | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | |   (12931)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 181.07/27.91  | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 181.07/27.91  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & $i(all_57_18))
% 181.07/27.91  | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | BETA: splitting (12931) gives:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | |   (12932)  all_57_30 = e0 & op(e1, e1) = e0
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (12918), (12920), (12924),
% 181.07/27.91  | | | | | | | | | | | | | | | | | | |            (12932), (function-axioms) are inconsistent by
% 181.07/27.91  | | | | | | | | | | | | | | | | | | |            sub-proof #1616.
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | |   (12933)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 181.07/27.91  | | | | | | | | | | | | | | | | | | |              (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 181.07/27.91  | | | | | | | | | | | | | | | | | | |              $i(all_57_18))
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | BETA: splitting (12933) gives:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | |   (12934)  all_57_31 = e0 & op(e0, e0) = e0
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | ALPHA: (12934) implies:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | |   (12935)  op(e0, e0) = e0
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (12935), (function-axioms) are
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | |   (12936)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | |            $i(all_57_18)
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | ALPHA: (12936) implies:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | |   (12937)  op(e3, e0) = all_57_18
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | |   (12938)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (12882), (12938),
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | |            #285.
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | |   (12939)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_21 & $i(all_57_21))
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12939) gives:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | |   (12940)  all_57_30 = e0 & op(e1, e1) = e0
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (12918), (12920), (12924),
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | |            (12940), (function-axioms) are inconsistent by
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1616.
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.91  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | |   (12941)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_21))
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12941) gives:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | |   (12942)  all_57_31 = e0 & op(e0, e0) = e0
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12942) implies:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | |   (12943)  op(e0, e0) = e0
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (12943), (function-axioms) are
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | |   (12944)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_21)
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12944) implies:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | |   (12945)  op(e2, e0) = all_57_21
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | |   (12946)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (12882), (12946),
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | |            #285.
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | |   (12947)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_24 & $i(all_57_24))
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12947) gives:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (12948)  all_57_30 = e0 & op(e1, e1) = e0
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (12918), (12920), (12924),
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | |            (12948), (function-axioms) are inconsistent by
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1616.
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | |   (12949)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24))
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12949) gives:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12950)  all_57_31 = e0 & op(e0, e0) = e0
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12950) implies:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12951)  op(e0, e0) = e0
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (12951), (function-axioms) are
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12952)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24)
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12952) implies:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12953)   ~ (all_57_24 = e1)
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | |   (12954)  op(e1, e0) = all_57_24
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12955)  all_54_10 = e3
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (12920), (12955) are inconsistent by
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1621.
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12956)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12956) gives:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12957)  all_54_10 = e2
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (12918), (12957) are inconsistent by
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1620.
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12958)  all_54_10 = e1 | all_54_10 = e0
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12958) gives:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12959)  all_54_10 = e1
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (12959) imply:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12960)  all_14_2 = e1
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12960) implies:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12961)  all_14_2 = e1
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (12961) imply:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12962)   ~ (all_52_8 = e1)
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (377), (12961) imply:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12963)   ~ (all_52_9 = e1)
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (12961) imply:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12964)   ~ (all_52_14 = e1)
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12965)  all_54_6 = e3
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (12965) imply:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12966)  all_52_9 = e3
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12880), (12966) imply:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12967)  $false
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12967) is inconsistent.
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12968)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12969)  all_54_11 = e3
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (12969) imply:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12970)  all_52_14 = e3
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12970) implies:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12971)  all_52_14 = e3
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (12971) imply:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12972)   ~ (all_52_12 = e3)
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (12971) imply:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12973)  op(e1, e0) = e3
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12974)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12974) gives:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12975)  all_56_9 = e1 & op(e3, e0) = e1
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12975) implies:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12976)  op(e3, e0) = e1
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12977)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.07/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12977) gives:
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12978)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12978) gives:
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12979)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12979) implies:
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12980)  op(e2, e3) = e3
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (12877), (12980), (function-axioms) are
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #286.
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12981)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12981) implies:
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12982)  op(e1, e3) = e3
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (163), (193), (265), (9575), (12913),
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12964), (12982), (function-axioms) are
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #264.
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12983)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12983) gives:
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12984)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12984) implies:
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12985)  op(e3, e0) = e3
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12972), (12985), (function-axioms) are
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12986)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12986) implies:
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12987)   ~ (all_57_29 = e3)
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12988)  op(e2, e2) = all_57_29
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12882), (12987), (12988), (function-axioms) are
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #130.
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.92  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12989)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12989) gives:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12990)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12990) gives:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12991)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12991) implies:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12992)   ~ (all_57_7 = e0)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12993)  op(e2, all_57_21) = all_57_7
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12968) gives:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12994)  all_54_6 = e2
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (12994) imply:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12995)  all_52_9 = e2
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12995) implies:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12996)  all_52_9 = e2
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (12996) imply:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12997)   ~ (all_52_1 = e2)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (200), (284), (12877), (12910), (12917), (12945),
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12992), (12993), (12997), (function-axioms) are
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #129.
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12998)  all_54_6 = e1 | all_54_6 = e0
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (12911), (12963), (12998) are inconsistent
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #255.
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (12999)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_20) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12999) implies:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13000)  op(e0, e2) = e2
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (13000), (function-axioms) are
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13001)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13001) gives:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13002)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13002) implies:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13003)  op(e3, e1) = e1
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (12962), (13003), (function-axioms) are
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13004)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13004) gives:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13005)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13005) implies:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13006)  op(e2, e1) = e1
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12963), (13006), (function-axioms) are
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13007)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13007) implies:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13008)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12968) gives:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13009)  all_54_6 = e2
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (13009) imply:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13010)  all_52_9 = e2
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13010) implies:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13011)  all_52_9 = e2
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (13011) imply:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13012)   ~ (all_52_1 = e2)
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13013)  all_54_4 = e3
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (12877), (13013) are inconsistent by
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1078.
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13014)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13014) gives:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13015)  all_54_4 = e2
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (13012), (13015) are inconsistent by
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1084.
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13016)  all_54_4 = e1 | all_54_4 = e0
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13016) gives:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13017)  all_54_4 = e1
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (13017) imply:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13018)  all_52_1 = e1
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13018) implies:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13019)  all_52_1 = e1
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31, e0, e0, simplifying with (9590),
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (12929) gives:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13020)  all_57_31 = e2
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24, e0, e1, simplifying with (12954),
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (12973) gives:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13021)  all_57_24 = e3
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_18, e0, e3, simplifying with (12937),
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (12976) gives:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13022)  all_57_18 = e1
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (160), (12953), (12954), (12964),
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13008), (13020), (13021), (13022),
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #211.
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13023)  all_54_4 = e0
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (12910), (13023) are inconsistent by
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #924.
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.93  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13024)  all_54_6 = e1 | all_54_6 = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (12911), (12963), (13024) are inconsistent
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #255.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13025)  all_56_10 = e1 & op(e2, e0) = e1
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12889), (12890), (12945), (13025),
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #128.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13026)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (387), (12964), (13026),
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1488.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13027)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (9575), (12913), (12964), (13027) are
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1112.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13028)  all_54_10 = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (12924), (13028) are inconsistent by
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1618.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | |   (13029)  all_26_2 = e0
% 181.46/27.94  | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | COMBINE_EQS: (318), (13029) imply:
% 181.46/27.94  | | | | | | | | | | | | | | |   (13030)  all_14_2 = e0
% 181.46/27.94  | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | SIMP: (13030) implies:
% 181.46/27.94  | | | | | | | | | | | | | | |   (13031)  all_14_2 = e0
% 181.46/27.94  | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | COMBINE_EQS: (309), (13031) imply:
% 181.46/27.94  | | | | | | | | | | | | | | |   (13032)  all_44_2 = e0
% 181.46/27.94  | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | REDUCE: (363), (13031) imply:
% 181.46/27.94  | | | | | | | | | | | | | | |   (13033)   ~ (all_52_2 = e0)
% 181.46/27.94  | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | REDUCE: (374), (13031) imply:
% 181.46/27.94  | | | | | | | | | | | | | | |   (13034)   ~ (all_52_6 = e0)
% 181.46/27.94  | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | REDUCE: (51), (13031) imply:
% 181.46/27.94  | | | | | | | | | | | | | | |   (13035)  op(e1, e1) = e0
% 181.46/27.94  | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | |   (13036)   ~ (all_44_2 = e0)
% 181.46/27.94  | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | REDUCE: (13032), (13036) imply:
% 181.46/27.94  | | | | | | | | | | | | | | | |   (13037)  $false
% 181.46/27.94  | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | CLOSE: (13037) is inconsistent.
% 181.46/27.94  | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | |   (13038)  ( ~ (all_44_0 = e2) & op(e0, e0) = all_44_0 &
% 181.46/27.94  | | | | | | | | | | | | | | | |              $i(all_44_0)) | ( ~ (all_44_1 = e3) & op(e0, e1)
% 181.46/27.94  | | | | | | | | | | | | | | | |              = all_44_1 & $i(all_44_1))
% 181.46/27.94  | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | |   (13039)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 181.46/27.94  | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (167), (386), (12910), (13039),
% 181.46/27.94  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.94  | | | | | | | | | | | | | | | | |            #929.
% 181.46/27.94  | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | |   (13040)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 181.46/27.94  | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 181.46/27.94  | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | BETA: splitting (13040) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | |   (13041)  all_56_6 = e0 & op(e1, e3) = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (13033), (13041), (function-axioms) are
% 181.46/27.94  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1197.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | |   (13042)  all_56_12 = e0 & op(e0, e3) = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | ALPHA: (13042) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | |   (13043)  all_56_12 = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | |   (13044)  op(e0, e3) = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | BETA: splitting (13038) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | |   (13045)   ~ (all_44_0 = e2) & op(e0, e0) = all_44_0 &
% 181.46/27.94  | | | | | | | | | | | | | | | | | | |            $i(all_44_0)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | ALPHA: (13045) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | |   (13046)   ~ (all_44_0 = e2)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | |   (13047)  op(e0, e0) = all_44_0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9590), (13046), (13047), (function-axioms) are
% 181.46/27.94  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #210.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | |   (13048)   ~ (all_44_1 = e3) & op(e0, e1) = all_44_1 &
% 181.46/27.94  | | | | | | | | | | | | | | | | | | |            $i(all_44_1)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | ALPHA: (13048) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | |   (13049)   ~ (all_44_1 = e3)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | |   (13050)  op(e0, e1) = all_44_1
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | |   (13051)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13051) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | |   (13052)  all_56_12 = e3 & op(e0, e3) = e3
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13052) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | |   (13053)  all_56_12 = e3
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13043), (13053) are inconsistent by
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1519.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | |   (13054)  all_56_13 = e3 & op(e0, e2) = e3
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13054) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | |   (13055)  all_56_13 = e3
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | |   (13056)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13056) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | |   (13057)  all_56_1 = e0 & op(e3, e2) = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13057) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | |   (13058)  all_56_1 = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | |   (13059)  op(e3, e2) = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | |   (13060)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (12882), (13059), (13060),
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | |            #127.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | |   (13061)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13061) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (13062)  all_56_7 = e2 & op(e1, e2) = e2
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13062) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (13063)  all_56_7 = e2
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13064)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (12882), (13058), (13064),
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | |            #281.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13065)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13065) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13066)  all_56_7 = e1 & op(e1, e2) = e1
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13063), (13066) are inconsistent by
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1018.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13067)  all_56_13 = e1 & op(e0, e2) = e1
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13055), (13067) are inconsistent by
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1460.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (13068)  all_56_13 = e2 & op(e0, e2) = e2
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13068) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (13069)  op(e0, e2) = e2
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (13069), (function-axioms) are
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | |   (13070)  all_56_3 = e0 & op(e2, e2) = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13070) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | |   (13071)  op(e2, e2) = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12882), (13071), (function-axioms) are
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | |   (13072)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13072) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | |   (13073)  all_56_7 = e0 & op(e1, e2) = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13034), (13073), (function-axioms) are
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1199.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | |   (13074)  all_56_13 = e0 & op(e0, e2) = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13055), (13074) are inconsistent by
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1421.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | |   (13075)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13075) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | |   (13076)  all_56_14 = e3 & op(e0, e1) = e3
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13076) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | |   (13077)  all_56_14 = e3
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | |   (13078)  op(e0, e1) = e3
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | |   (13079)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13079) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | |   (13080)  all_56_12 = e1 & op(e0, e3) = e1
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13080) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | |   (13081)  op(e0, e3) = e1
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13044), (13081), (function-axioms) are
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1589.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | |   (13082)  all_56_13 = e1 & op(e0, e2) = e1
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13082) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | |   (13083)  all_56_13 = e1
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | |   (13084)  op(e0, e2) = e1
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | |   (13085)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13085) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (13086)  all_56_1 = e0 & op(e3, e2) = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13086) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (13087)  op(e3, e2) = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13088)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (12882), (13087), (13088),
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | |            #127.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13089)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13089) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13090)  all_56_7 = e2 & op(e1, e2) = e2
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13090) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13091)  all_56_7 = e2
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13092)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13092) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13093)  all_57_28 = e1 & op(e3, e3) = e1
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13093) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13094)  op(e3, e3) = e1
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (12922), (13094), (function-axioms) are
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1525.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13095)  all_57_29 = e1 & op(e2, e2) = e1
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13095) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13096)  op(e2, e2) = e1
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13097)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (12878), (13096), (13097),
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1135.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13098)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13098) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13099)  all_56_7 = e3 & op(e1, e2) = e3
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13099) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13100)  all_56_7 = e3
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13091), (13100) are inconsistent by
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1430.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13101)  all_56_13 = e3 & op(e0, e2) = e3
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13083), (13101) are inconsistent by
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1066.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13102)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = all_57_27 & $i(all_57_27))
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13102) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13103)  all_57_30 = e1 & op(e1, e1) = e1
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13103) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13104)  op(e1, e1) = e1
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13035), (13104), (function-axioms) are
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13105)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_27))
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13105) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13106)  all_57_31 = e1 & op(e0, e0) = e1
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13106) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13107)  op(e0, e0) = e1
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (13107), (function-axioms) are
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13108)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_27)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (13049), (13050), (13078), (13108),
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #126.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13109)  all_56_13 = e2 & op(e0, e2) = e2
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13109) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13110)  op(e0, e2) = e2
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13084), (13110), (function-axioms) are
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #279.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (13111)  all_56_3 = e0 & op(e2, e2) = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13111) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (13112)  op(e2, e2) = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12882), (13112), (function-axioms) are
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | |   (13113)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13113) gives:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (13114)  all_56_7 = e0 & op(e1, e2) = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13034), (13114), (function-axioms) are
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1199.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (13115)  all_56_13 = e0 & op(e0, e2) = e0
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13083), (13115) are inconsistent by
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1372.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | |   (13116)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (387), (13077), (13116),
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | |            #1368.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | |   (13117)  all_56_15 = e3 & op(e0, e0) = e3
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13117) implies:
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | |   (13118)  op(e0, e0) = e3
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9590), (13118), (function-axioms) are
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | End of split
% 181.46/27.94  | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | Case 2:
% 181.46/27.94  | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | |   (13119)  all_18_2 = e1
% 181.46/27.94  | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | COMBINE_EQS: (342), (13119) imply:
% 181.46/27.94  | | | | | | | | | | | | | |   (13120)  all_4_2 = e1
% 181.46/27.94  | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | SIMP: (13120) implies:
% 181.46/27.94  | | | | | | | | | | | | | |   (13121)  all_4_2 = e1
% 181.46/27.94  | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | REDUCE: (351), (13121) imply:
% 181.46/27.94  | | | | | | | | | | | | | |   (13122)   ~ (all_52_1 = e1)
% 181.46/27.94  | | | | | | | | | | | | | | 
% 181.46/27.94  | | | | | | | | | | | | | | REDUCE: (355), (13121) imply:
% 181.46/27.94  | | | | | | | | | | | | | |   (13123)   ~ (all_52_3 = e1)
% 181.46/27.94  | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | REDUCE: (361), (13121) imply:
% 181.46/27.95  | | | | | | | | | | | | | |   (13124)   ~ (all_52_12 = e1)
% 181.46/27.95  | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 181.46/27.95  | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | |   (13125)  all_54_4 = e3
% 181.46/27.95  | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | COMBINE_EQS: (284), (13125) imply:
% 181.46/27.95  | | | | | | | | | | | | | | |   (13126)  all_52_1 = e3
% 181.46/27.95  | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | REDUCE: (12877), (13126) imply:
% 181.46/27.95  | | | | | | | | | | | | | | |   (13127)  $false
% 181.46/27.95  | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | CLOSE: (13127) is inconsistent.
% 181.46/27.95  | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | Case 2:
% 181.46/27.95  | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | |   (13128)   ~ (all_54_4 = e3)
% 181.46/27.95  | | | | | | | | | | | | | | |   (13129)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 181.46/27.95  | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | |   (13130)  all_54_3 = e3
% 181.46/27.95  | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (13130) imply:
% 181.46/27.95  | | | | | | | | | | | | | | | |   (13131)  all_52_12 = e3
% 181.46/27.95  | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | REDUCE: (120), (13131) imply:
% 181.46/27.95  | | | | | | | | | | | | | | | |   (13132)   ~ (all_52_8 = e3)
% 181.46/27.95  | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | REDUCE: (112), (13131) imply:
% 181.46/27.95  | | | | | | | | | | | | | | | |   (13133)   ~ (all_52_14 = e3)
% 181.46/27.95  | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | SIMP: (13133) implies:
% 181.46/27.95  | | | | | | | | | | | | | | | |   (13134)   ~ (all_52_14 = e3)
% 181.46/27.95  | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | REDUCE: (168), (13131) imply:
% 181.46/27.95  | | | | | | | | | | | | | | | |   (13135)  op(e3, e0) = e3
% 181.46/27.95  | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | BETA: splitting (13129) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | |   (13136)  all_54_4 = e2
% 181.46/27.95  | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (13136) imply:
% 181.46/27.95  | | | | | | | | | | | | | | | | |   (13137)  all_52_1 = e2
% 181.46/27.95  | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | REDUCE: (148), (13137) imply:
% 181.46/27.95  | | | | | | | | | | | | | | | | |   (13138)   ~ (all_52_3 = e2)
% 181.46/27.95  | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | REDUCE: (146), (13137) imply:
% 181.46/27.95  | | | | | | | | | | | | | | | | |   (13139)   ~ (all_52_9 = e2)
% 181.46/27.95  | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | SIMP: (13139) implies:
% 181.46/27.95  | | | | | | | | | | | | | | | | |   (13140)   ~ (all_52_9 = e2)
% 181.46/27.95  | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | REDUCE: (12877), (13137) imply:
% 181.46/27.95  | | | | | | | | | | | | | | | | |   (13141)   ~ (e3 = e2)
% 181.46/27.95  | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | REDUCE: (167), (13137) imply:
% 181.46/27.95  | | | | | | | | | | | | | | | | |   (13142)  op(e2, e3) = e2
% 181.46/27.95  | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | |   (13143)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 181.46/27.95  | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (12880), (13132), (13143),
% 181.46/27.95  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.95  | | | | | | | | | | | | | | | | | |            #1345.
% 181.46/27.95  | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | |   (13144)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 181.46/27.95  | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | BETA: splitting (13144) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | |   (13145)  all_56_8 = e3 & op(e1, e1) = e3
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | ALPHA: (13145) implies:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | |   (13146)  op(e1, e1) = e3
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (12920), (13146), (function-axioms) are
% 181.46/27.95  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | |   (13147)  all_56_14 = e3 & op(e0, e1) = e3
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | ALPHA: (13147) implies:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | |   (13148)  all_56_14 = e3
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | |   (13149)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13149) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | |   (13150)  all_56_6 = e3 & op(e1, e3) = e3
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | ALPHA: (13150) implies:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | |   (13151)  op(e1, e3) = e3
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | |   (13152)  all_54_11 = e3
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (13134), (13152) are inconsistent by
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1336.
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | |   (13153)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | |   (13154)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13154) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | |   (13155)  all_56_12 = e1 & op(e0, e3) = e1
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13123), (13155), (function-axioms) are
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1106.
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | |   (13156)  all_56_13 = e1 & op(e0, e2) = e1
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13156) implies:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | |   (13157)  op(e0, e2) = e1
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (13158)  all_54_6 = e3
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (13158) imply:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (13159)  all_52_9 = e3
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12880), (13159) imply:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (13160)  $false
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13160) is inconsistent.
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | |   (13161)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13153) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13162)  all_54_11 = e2
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (9575), (13162) are inconsistent by
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1115.
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13163)  all_54_11 = e1 | all_54_11 = e0
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13164)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (13142), (13164),
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1181.
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13165)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13165) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13166)  all_56_6 = e0 & op(e1, e3) = e0
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13166) implies:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13167)  op(e1, e3) = e0
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13151), (13167), (function-axioms) are
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1536.
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13168)  all_56_12 = e0 & op(e0, e3) = e0
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13168) implies:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13169)  op(e0, e3) = e0
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13161) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13170)  all_54_6 = e2
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (13140), (13170) are inconsistent by
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1241.
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13171)   ~ (all_54_6 = e2)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13172)  all_54_6 = e1 | all_54_6 = e0
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13163) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13173)  all_54_11 = e1
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (13173) imply:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13174)  all_52_14 = e1
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13174) implies:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13175)  all_52_14 = e1
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (13175) imply:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13176)   ~ (all_52_6 = e1)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13177)  all_54_10 = e3
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (12920), (13177) are inconsistent by
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1621.
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13178)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13172) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13179)  all_54_6 = e1
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (13179) imply:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13180)  all_52_9 = e1
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13180) implies:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13181)  all_52_9 = e1
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (13181) imply:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13182)   ~ (all_52_8 = e1)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (13181) imply:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13183)   ~ (all_52_11 = e1)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13183) implies:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13184)   ~ (all_52_11 = e1)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (377), (13181) imply:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13185)   ~ (all_14_2 = e1)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13185) implies:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13186)   ~ (all_14_2 = e1)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13140), (13181) imply:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13187)   ~ (e2 = e1)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13178) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13188)  all_54_10 = e2
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (12918), (13188) are inconsistent by
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1620.
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13189)  all_54_10 = e1 | all_54_10 = e0
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13190)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (169), (12877), (12882), (13132),
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13169), (13190), (function-axioms) are
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #124.
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13191)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13191) gives:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13192)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (165), (276), (12911), (13140), (13157),
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13172), (13192), (function-axioms) are
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #141.
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13193)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13193) gives:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13194)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13194) implies:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13195)  op(e3, e1) = e1
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13182), (13195), (function-axioms) are
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13196)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13196) gives:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13197)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13197) implies:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13198)  op(e1, e2) = e1
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13176), (13198), (function-axioms) are
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #834.
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13199)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13199) implies:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13200)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13200) gives:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13201)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13201) implies:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13202)   ~ (all_57_8 = e3)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13203)  op(e1, e3) = all_57_22
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13204)  op(e1, all_57_22) = all_57_8
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13151), (13202), (13203), (13204),
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1026.
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13205)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13205) implies:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13206)   ~ (all_57_15 = e0)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13207)  op(e0, e0) = all_57_31
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13208)  op(e0, e2) = all_57_26
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13209)  op(e0, all_57_31) = all_57_15
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13210)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13189) gives:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13211)  all_54_10 = e1
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (13186), (13211) are inconsistent by
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #123.
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13212)  all_54_10 = e0
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (13212) imply:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13213)  all_14_2 = e0
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13213) implies:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13214)  all_14_2 = e0
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (379), (13214) imply:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13215)   ~ (all_52_11 = e0)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13216)  all_54_14 = e3
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (13216) imply:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13217)  all_52_11 = e3
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13217) implies:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13218)  all_52_11 = e3
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (13218) imply:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13219)   ~ (all_52_3 = e3)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13220)  all_54_12 = e3
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (13219), (13220) are inconsistent by
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1265.
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13221)   ~ (all_54_12 = e3)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13222)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13222) gives:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13223)  all_54_12 = e2
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (9570), (13223) are inconsistent by
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #709.
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13224)  all_54_12 = e1 | all_54_12 = e0
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13224) gives:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13225)  all_54_12 = e1
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (13123), (13225) are inconsistent by
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #204.
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13226)  all_54_12 = e0
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (13226) imply:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13227)  all_52_3 = e0
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13227) implies:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13228)  all_52_3 = e0
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (13228) imply:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13229)   ~ (all_52_7 = e0)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13229) implies:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13230)   ~ (all_52_7 = e0)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (158), (160), (12913), (13135), (13206),
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13207), (13208), (13209), (13210), (13230),
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1142.
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13231)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (9572), (13184), (13215), (13231) are
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1233.
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13232)  all_54_6 = e0
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (12911), (13232) are inconsistent by
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1235.
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13233)  all_54_11 = e0
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (12913), (13233) are inconsistent by
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1329.
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | |   (13234)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (387), (13148), (13234),
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | |            #1368.
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | |   (13235)  all_56_7 = e3 & op(e1, e2) = e3
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (12879), (13235), (function-axioms) are
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #990.
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | |   (13236)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (165), (217),
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | |            (218), (219), (12911), (13134), (13148), (13236),
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | |            #256.
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | |   (13237)  all_54_4 = e1 | all_54_4 = e0
% 181.46/27.96  | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (12910), (13122), (13237) are inconsistent
% 181.46/27.96  | | | | | | | | | | | | | | | | |            by sub-proof #737.
% 181.46/27.96  | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | |   (13238)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 181.46/27.96  | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | REF_CLOSE: (285), (9573), (12912), (13124), (13238) are
% 181.46/27.96  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 181.46/27.96  | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | End of split
% 181.46/27.96  | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | |   (13239)  all_16_2 = e3
% 181.46/27.96  | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | COMBINE_EQS: (338), (13239) imply:
% 181.46/27.96  | | | | | | | | | | | | |   (13240)  all_14_2 = e3
% 181.46/27.96  | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | SIMP: (13240) implies:
% 181.46/27.96  | | | | | | | | | | | | |   (13241)  all_14_2 = e3
% 181.46/27.96  | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | REDUCE: (381), (13241) imply:
% 181.46/27.96  | | | | | | | | | | | | |   (13242)   ~ (all_52_14 = e3)
% 181.46/27.96  | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | REDUCE: (51), (13241) imply:
% 181.46/27.96  | | | | | | | | | | | | |   (13243)  op(e1, e1) = e3
% 181.46/27.96  | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | BETA: splitting (193) gives:
% 181.46/27.96  | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | Case 1:
% 181.46/27.96  | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | |   (13244)  all_54_11 = e3
% 181.46/27.96  | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | REF_CLOSE: (265), (13242), (13244) are inconsistent by
% 181.46/27.96  | | | | | | | | | | | | | |            sub-proof #1336.
% 181.46/27.96  | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | |   (13245)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 181.46/27.96  | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | BETA: splitting (13245) gives:
% 181.46/27.96  | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | Case 1:
% 181.46/27.96  | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | |   (13246)  all_54_11 = e2
% 181.46/27.96  | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | REF_CLOSE: (265), (9575), (13246) are inconsistent by
% 181.46/27.96  | | | | | | | | | | | | | | |            sub-proof #1115.
% 181.46/27.96  | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | |   (13247)  all_54_11 = e1 | all_54_11 = e0
% 181.46/27.96  | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | BETA: splitting (13247) gives:
% 181.46/27.96  | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | Case 1:
% 181.46/27.96  | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | |   (13248)  all_54_11 = e1
% 181.46/27.96  | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (13248) imply:
% 181.46/27.96  | | | | | | | | | | | | | | | |   (13249)  all_52_14 = e1
% 181.46/27.96  | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | SIMP: (13249) implies:
% 181.46/27.96  | | | | | | | | | | | | | | | |   (13250)  all_52_14 = e1
% 181.46/27.96  | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | REDUCE: (160), (13250) imply:
% 181.46/27.96  | | | | | | | | | | | | | | | |   (13251)  op(e1, e0) = e1
% 181.46/27.96  | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 181.46/27.96  | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.96  | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | |   (13252)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 181.46/27.96  | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 181.46/27.96  | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (12882), (13252),
% 181.46/27.96  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.96  | | | | | | | | | | | | | | | | |            #285.
% 181.46/27.96  | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | |   (13253)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 181.46/27.96  | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 181.46/27.96  | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_24 & $i(all_57_24))
% 181.46/27.96  | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | BETA: splitting (13253) gives:
% 181.46/27.96  | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | |   (13254)  all_57_30 = e0 & op(e1, e1) = e0
% 181.46/27.96  | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | ALPHA: (13254) implies:
% 181.46/27.96  | | | | | | | | | | | | | | | | | |   (13255)  op(e1, e1) = e0
% 181.46/27.96  | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13243), (13255), (function-axioms) are
% 181.46/27.96  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 181.46/27.96  | | | | | | | | | | | | | | | | | | 
% 181.46/27.96  | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.96  | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | |   (13256)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 181.46/27.97  | | | | | | | | | | | | | | | | | |              (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | |              $i(all_57_24))
% 181.46/27.97  | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (13251), (13256), (function-axioms)
% 181.46/27.97  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #189.
% 181.46/27.97  | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | End of split
% 181.46/27.97  | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | End of split
% 181.46/27.97  | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | Case 2:
% 181.46/27.97  | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | |   (13257)  all_54_11 = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | REF_CLOSE: (265), (12913), (13257) are inconsistent by
% 181.46/27.97  | | | | | | | | | | | | | | | |            sub-proof #1329.
% 181.46/27.97  | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | End of split
% 181.46/27.97  | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | End of split
% 181.46/27.97  | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | End of split
% 181.46/27.97  | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | End of split
% 181.46/27.97  | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | Case 2:
% 181.46/27.97  | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | |   (13258)  all_14_2 = e2
% 181.46/27.97  | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | COMBINE_EQS: (347), (13258) imply:
% 181.46/27.97  | | | | | | | | | | | |   (13259)  all_42_2 = e2
% 181.46/27.97  | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | REDUCE: (374), (13258) imply:
% 181.46/27.97  | | | | | | | | | | | |   (13260)   ~ (all_52_6 = e2)
% 181.46/27.97  | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | REDUCE: (377), (13258) imply:
% 181.46/27.97  | | | | | | | | | | | |   (13261)   ~ (all_52_9 = e2)
% 181.46/27.97  | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | REDUCE: (51), (13258) imply:
% 181.46/27.97  | | | | | | | | | | | |   (13262)  op(e1, e1) = e2
% 181.46/27.97  | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | BETA: splitting (94) gives:
% 181.46/27.97  | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | |   (13263)   ~ (all_42_2 = e2)
% 181.46/27.97  | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | REDUCE: (13259), (13263) imply:
% 181.46/27.97  | | | | | | | | | | | | |   (13264)  $false
% 181.46/27.97  | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | CLOSE: (13264) is inconsistent.
% 181.46/27.97  | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | Case 2:
% 181.46/27.97  | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | |   (13265)  ( ~ (all_42_0 = e3) & op(e2, e2) = all_42_0 &
% 181.46/27.97  | | | | | | | | | | | | |              $i(all_42_0)) | ( ~ (all_42_1 = e0) & op(e2, e1)
% 181.46/27.97  | | | | | | | | | | | | |              = all_42_1 & $i(all_42_1))
% 181.46/27.97  | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | BETA: splitting (13265) gives:
% 181.46/27.97  | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | |   (13266)   ~ (all_42_0 = e3) & op(e2, e2) = all_42_0 &
% 181.46/27.97  | | | | | | | | | | | | | |            $i(all_42_0)
% 181.46/27.97  | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | REF_CLOSE: (12882), (13266), (function-axioms) are
% 181.46/27.97  | | | | | | | | | | | | | |            inconsistent by sub-proof #233.
% 181.46/27.97  | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | Case 2:
% 181.46/27.97  | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | |   (13267)   ~ (all_42_1 = e0) & op(e2, e1) = all_42_1 &
% 181.46/27.97  | | | | | | | | | | | | | |            $i(all_42_1)
% 181.46/27.97  | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | ALPHA: (13267) implies:
% 181.46/27.97  | | | | | | | | | | | | | |   (13268)   ~ (all_42_1 = e0)
% 181.46/27.97  | | | | | | | | | | | | | |   (13269)  op(e2, e1) = all_42_1
% 181.46/27.97  | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 181.46/27.97  | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | |   (13270)  all_54_6 = e3
% 181.46/27.97  | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | COMBINE_EQS: (276), (13270) imply:
% 181.46/27.97  | | | | | | | | | | | | | | |   (13271)  all_52_9 = e3
% 181.46/27.97  | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | REDUCE: (12880), (13271) imply:
% 181.46/27.97  | | | | | | | | | | | | | | |   (13272)  $false
% 181.46/27.97  | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | CLOSE: (13272) is inconsistent.
% 181.46/27.97  | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | Case 2:
% 181.46/27.97  | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | |   (13273)   ~ (all_54_6 = e3)
% 181.46/27.97  | | | | | | | | | | | | | | |   (13274)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 181.46/27.97  | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | BETA: splitting (13274) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | |   (13275)  all_54_6 = e2
% 181.46/27.97  | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (13275) imply:
% 181.46/27.97  | | | | | | | | | | | | | | | |   (13276)  all_52_9 = e2
% 181.46/27.97  | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | REDUCE: (13261), (13276) imply:
% 181.46/27.97  | | | | | | | | | | | | | | | |   (13277)  $false
% 181.46/27.97  | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | CLOSE: (13277) is inconsistent.
% 181.46/27.97  | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | Case 2:
% 181.46/27.97  | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | |   (13278)   ~ (all_54_6 = e2)
% 181.46/27.97  | | | | | | | | | | | | | | | |   (13279)  all_54_6 = e1 | all_54_6 = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | BETA: splitting (13279) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | |   (13280)  all_54_6 = e1
% 181.46/27.97  | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (13280) imply:
% 181.46/27.97  | | | | | | | | | | | | | | | | |   (13281)  all_52_9 = e1
% 181.46/27.97  | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | REDUCE: (146), (13281) imply:
% 181.46/27.97  | | | | | | | | | | | | | | | | |   (13282)   ~ (all_52_1 = e1)
% 181.46/27.97  | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | REDUCE: (123), (13281) imply:
% 181.46/27.97  | | | | | | | | | | | | | | | | |   (13283)   ~ (all_52_8 = e1)
% 181.46/27.97  | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | REDUCE: (12880), (13281) imply:
% 181.46/27.97  | | | | | | | | | | | | | | | | |   (13284)   ~ (e3 = e1)
% 181.46/27.97  | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | REDUCE: (13261), (13281) imply:
% 181.46/27.97  | | | | | | | | | | | | | | | | |   (13285)   ~ (e2 = e1)
% 181.46/27.97  | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | REDUCE: (165), (13281) imply:
% 181.46/27.97  | | | | | | | | | | | | | | | | |   (13286)  op(e2, e1) = e1
% 181.46/27.97  | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | |   (13287)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 181.46/27.97  | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (12882), (13287),
% 181.46/27.97  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.97  | | | | | | | | | | | | | | | | | |            #285.
% 181.46/27.97  | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | |   (13288)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 181.46/27.97  | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 181.46/27.97  | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & $i(all_57_18))
% 181.46/27.97  | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | BETA: splitting (13288) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | |   (13289)  all_57_30 = e0 & op(e1, e1) = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | ALPHA: (13289) implies:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | |   (13290)  op(e1, e1) = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13262), (13290), (function-axioms) are
% 181.46/27.97  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | |   (13291)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 181.46/27.97  | | | | | | | | | | | | | | | | | | |              (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | |              $i(all_57_18))
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | BETA: splitting (13291) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | |   (13292)  all_57_31 = e0 & op(e0, e0) = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | ALPHA: (13292) implies:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | |   (13293)  op(e0, e0) = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (13293), (function-axioms) are
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | |   (13294)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | |            $i(all_57_18)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | ALPHA: (13294) implies:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | |   (13295)   ~ (all_57_18 = e3)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | |   (13296)  op(e3, e0) = all_57_18
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | |   (13297)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13297) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | |   (13298)  all_56_2 = e2 & op(e2, e3) = e2
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13298) implies:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | |   (13299)  all_56_2 = e2
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | |   (13300)  op(e2, e3) = e2
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | |   (13301)  all_54_4 = e3
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (13301) imply:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | |   (13302)  all_52_1 = e3
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12877), (13302) imply:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | |   (13303)  $false
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13303) is inconsistent.
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | |   (13304)   ~ (all_54_4 = e3)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | |   (13305)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | |   (13306)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (36), (164), (165), (224), (386),
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | |            (12880), (12881), (13299), (13306),
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | |            #122.
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | |   (13307)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_21 & $i(all_57_21))
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13307) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (13308)  all_57_30 = e0 & op(e1, e1) = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13308) implies:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (13309)  op(e1, e1) = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13262), (13309), (function-axioms) are
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (13310)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_21))
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13310) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13311)  all_57_31 = e0 & op(e0, e0) = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13311) implies:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13312)  op(e0, e0) = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (13312), (function-axioms) are
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13313)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_21)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13313) implies:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13314)  op(e2, e0) = all_57_21
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13315)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13315) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13316)  all_56_1 = e2 & op(e3, e2) = e2
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13316) implies:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13317)  all_56_1 = e2
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13318)  op(e3, e2) = e2
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13319)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13319) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13320)  all_56_0 = e0 & op(e3, e3) = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13320) implies:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13321)  op(e3, e3) = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (13321), (function-axioms) are
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13322)  all_56_1 = e0 & op(e3, e2) = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13322) implies:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13323)  op(e3, e2) = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13318), (13323), (function-axioms) are
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #190.
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13324)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13324) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13325)  all_56_4 = e0 & op(e3, e1) = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13325) implies:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13326)  op(e3, e1) = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13327)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (36), (164), (165), (224), (386),
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12880), (12881), (13299), (13327),
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #122.
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13328)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_24 & $i(all_57_24))
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13328) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13329)  all_57_30 = e0 & op(e1, e1) = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13329) implies:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13330)  op(e1, e1) = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13262), (13330), (function-axioms) are
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13331)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24))
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13331) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13332)  all_57_31 = e0 & op(e0, e0) = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13332) implies:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13333)  op(e0, e0) = e0
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (13333), (function-axioms) are
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13334)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13334) implies:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13335)   ~ (all_57_24 = e1)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13336)  op(e1, e0) = all_57_24
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13337)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13337) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13338)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13338) gives:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13339)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13339) implies:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13340)  op(e2, e3) = e3
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (12877), (13340), (function-axioms) are
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #286.
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13341)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13341) implies:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13342)  op(e3, e1) = e3
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (13326), (13342), (function-axioms)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1577.
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13343)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13343) gives:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13344)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13344) implies:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13345)  all_57_18 = e3
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13295), (13345) imply:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13346)  $false
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13346) is inconsistent.
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13347)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13347) implies:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13348)   ~ (all_57_29 = e3)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13349)  op(e2, e2) = all_57_29
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12882), (13348), (13349), (function-axioms) are
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #130.
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13350)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13350) gives:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13351)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13351) gives:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13352)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13352) implies:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13353)  op(e2, e1) = e2
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (198), (276), (284), (12910),
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12911), (13282), (13305), (13353),
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #145.
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13354)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_20) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13354) implies:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13355)  op(e0, e2) = e2
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9571), (13355), (function-axioms) are
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13356)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13356) gives:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13357)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13357) implies:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13358)  op(e3, e1) = e1
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13283), (13358), (function-axioms) are
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13359)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13359) gives:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.98  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13360)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13360) implies:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13361)   ~ (all_57_30 = e2)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13362)  op(e1, e1) = all_57_30
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13262), (13361), (13362), (function-axioms) are
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #661.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13363)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13363) implies:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13364)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13364) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13365)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13365) implies:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13366)  op(e1, e0) = e1
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13335), (13336), (13366), (function-axioms) are
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1423.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13367)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13367) implies:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13368)   ~ (all_57_15 = e0)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13369)  op(e0, e0) = all_57_31
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13370)  op(e0, e2) = all_57_26
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13371)  op(e0, all_57_31) = all_57_15
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13372)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31, e0, e0, simplifying with (9590),
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (13369) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13373)  all_57_31 = e2
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24, e0, e1, simplifying with (160), (13336)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13374)  all_57_24 = all_52_14
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_42_1,
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (13269), (13286) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13375)  all_42_1 = e1
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_18, e0, e3, simplifying with (168), (13296)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13376)  all_57_18 = all_52_12
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (13326) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13377)  all_52_8 = e0
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (13318) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13378)  all_52_4 = e2
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13335), (13374) imply:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13379)   ~ (all_52_14 = e1)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (13378) imply:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13380)   ~ (all_52_12 = e2)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (13377) imply:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13381)   ~ (all_52_12 = e0)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13371), (13373) imply:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13382)  op(e0, e2) = all_57_15
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13383)  all_54_11 = e3
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (13383) imply:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13384)  all_52_14 = e3
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13384) implies:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13385)  all_52_14 = e3
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13374), (13385) imply:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13386)  all_57_24 = e3
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (13385) imply:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13387)   ~ (all_52_12 = e3)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13388)  all_54_3 = e3
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (13388) imply:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13389)  all_52_12 = e3
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13387), (13389) imply:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13390)  $false
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13390) is inconsistent.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13391)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13391) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13392)  all_54_3 = e2
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (13392) imply:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13393)  all_52_12 = e2
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9573), (13393) imply:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13394)  $false
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13394) is inconsistent.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13395)  all_54_3 = e1 | all_54_3 = e0
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13395) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13396)  all_54_3 = e1
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (13396) imply:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13397)  all_52_12 = e1
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13376), (13397) imply:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13398)  all_57_18 = e1
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (160), (13364), (13368), (13370),
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13372), (13379), (13382), (13386), (13398),
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #212.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13399)  all_54_3 = e0
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (13399) imply:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13400)  all_52_12 = e0
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12912), (13400) imply:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13401)  $false
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13401) is inconsistent.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13402)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (9575), (12913), (13379), (13402) are
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1112.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13403)  all_56_9 = e0 & op(e3, e0) = e0
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13403) implies:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13404)  all_56_9 = e0
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13405)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13405) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13406)  all_56_0 = e1 & op(e3, e3) = e1
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13406) implies:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13407)  op(e3, e3) = e1
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13408)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (36), (164), (165), (224), (386),
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (12880), (12881), (13299), (13408),
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #122.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13409)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_24 & $i(all_57_24))
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13409) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13410)  all_57_30 = e0 & op(e1, e1) = e0
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13410) implies:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13411)  op(e1, e1) = e0
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13262), (13411), (function-axioms) are
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13412)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24))
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13412) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13413)  all_57_31 = e0 & op(e0, e0) = e0
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13413) implies:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13414)  op(e0, e0) = e0
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9590), (13414), (function-axioms) are
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13415)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13415) implies:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13416)   ~ (all_57_24 = e1)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13417)  op(e1, e0) = all_57_24
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13418)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13418) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13419)  all_56_9 = e1 & op(e3, e0) = e1
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (236), (386), (13317), (13407), (13419),
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #685.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13420)  all_56_10 = e1 & op(e2, e0) = e1
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12889), (12890), (13314), (13420),
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #128.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13421)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (387), (13416), (13417), (13421),
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #222.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13422)  all_56_1 = e1 & op(e3, e2) = e1
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13422) implies:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13423)  op(e3, e2) = e1
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13318), (13423), (function-axioms) are
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1424.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13424)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13424) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13425)  all_56_4 = e1 & op(e3, e1) = e1
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13425) implies:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13426)  op(e3, e1) = e1
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13283), (13426), (function-axioms) are
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13427)  all_56_9 = e1 & op(e3, e0) = e1
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13404), (13427) are inconsistent by
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1126.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13428)  all_56_3 = e2 & op(e2, e2) = e2
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13428) implies:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13429)  op(e2, e2) = e2
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13430)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13299), (13429), (13430), (function-axioms)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1413.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13431)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13431) gives:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13432)  all_56_5 = e3 & op(e2, e1) = e3
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13432) implies:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13433)  op(e2, e1) = e3
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12880), (13433), (function-axioms) are
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13434)  all_56_10 = e3 & op(e2, e0) = e3
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13434) implies:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13435)  all_56_10 = e3
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (224),
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13299), (13300), (13429), (13435),
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #880.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13436)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (9571), (13260), (13436),
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #165.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | |   (13437)  all_56_3 = e2 & op(e2, e2) = e2
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13437) implies:
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | |   (13438)  op(e2, e2) = e2
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12882), (13438), (function-axioms) are
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 181.46/27.99  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | |   (13439)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13439) gives:
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | |   (13440)  all_56_5 = e2 & op(e2, e1) = e2
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | |            (220), (12911), (13262), (13286), (13440),
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | |            #330.
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | |   (13441)  all_56_10 = e2 & op(e2, e0) = e2
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13441) implies:
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | |   (13442)  op(e2, e0) = e2
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9574), (13442), (function-axioms) are
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1562.
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | End of split
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | End of split
% 181.46/28.00  | | | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | | End of split
% 181.46/28.00  | | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | End of split
% 181.46/28.00  | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | Case 2:
% 181.46/28.00  | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | |   (13443)  all_54_6 = e0
% 181.46/28.00  | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (13443) imply:
% 181.46/28.00  | | | | | | | | | | | | | | | | |   (13444)  all_52_9 = e0
% 181.46/28.00  | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | REDUCE: (12911), (13444) imply:
% 181.46/28.00  | | | | | | | | | | | | | | | | |   (13445)  $false
% 181.46/28.00  | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | | CLOSE: (13445) is inconsistent.
% 181.46/28.00  | | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | | End of split
% 181.46/28.00  | | | | | | | | | | | | | | | | 
% 181.46/28.00  | | | | | | | | | | | | | | | End of split
% 181.46/28.00  | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | End of split
% 181.67/28.00  | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | End of split
% 181.67/28.00  | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | End of split
% 181.67/28.00  | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | End of split
% 181.67/28.00  | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | End of split
% 181.67/28.00  | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | End of split
% 181.67/28.00  | | | | | | | | | 
% 181.67/28.00  | | | | | | | | End of split
% 181.67/28.00  | | | | | | | | 
% 181.67/28.00  | | | | | | | End of split
% 181.67/28.00  | | | | | | | 
% 181.67/28.00  | | | | | | End of split
% 181.67/28.00  | | | | | | 
% 181.67/28.00  | | | | | End of split
% 181.67/28.00  | | | | | 
% 181.67/28.00  | | | | End of split
% 181.67/28.00  | | | | 
% 181.67/28.00  | | | End of split
% 181.67/28.00  | | | 
% 181.67/28.00  | | Case 2:
% 181.67/28.00  | | | 
% 181.67/28.00  | | |   (13446)  all_6_2 = e1
% 181.67/28.00  | | |   (13447)  ( ~ (all_6_0 = e3) & op(e1, e1) = all_6_0 & $i(all_6_0)) | ( ~
% 181.67/28.00  | | |              (all_6_1 = e2) & op(e1, e0) = all_6_1 & $i(all_6_1))
% 181.67/28.00  | | | 
% 181.67/28.00  | | | COMBINE_EQS: (345), (13446) imply:
% 181.67/28.00  | | |   (13448)  all_36_2 = e1
% 181.67/28.00  | | | 
% 181.67/28.00  | | | REDUCE: (364), (13446) imply:
% 181.67/28.00  | | |   (13449)   ~ (all_52_3 = e1)
% 181.67/28.00  | | | 
% 181.67/28.00  | | | REDUCE: (375), (13446) imply:
% 181.67/28.00  | | |   (13450)   ~ (all_52_7 = e1)
% 181.67/28.00  | | | 
% 181.67/28.00  | | | REDUCE: (382), (13446) imply:
% 181.67/28.00  | | |   (13451)   ~ (all_52_11 = e1)
% 181.67/28.00  | | | 
% 181.67/28.00  | | | REDUCE: (383), (13446) imply:
% 181.67/28.00  | | |   (13452)   ~ (all_52_12 = e1)
% 181.67/28.00  | | | 
% 181.67/28.00  | | | REDUCE: (384), (13446) imply:
% 181.67/28.00  | | |   (13453)   ~ (all_52_13 = e1)
% 181.67/28.00  | | | 
% 181.67/28.00  | | | REDUCE: (385), (13446) imply:
% 181.67/28.00  | | |   (13454)   ~ (all_52_14 = e1)
% 181.67/28.00  | | | 
% 181.67/28.00  | | | BETA: splitting (210) gives:
% 181.67/28.00  | | | 
% 181.67/28.00  | | | Case 1:
% 181.67/28.00  | | | | 
% 181.67/28.00  | | | |   (13455)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2,
% 181.67/28.00  | | | |                e0) = e1)
% 181.67/28.00  | | | | 
% 181.67/28.00  | | | | BETA: splitting (13455) gives:
% 181.67/28.00  | | | | 
% 181.67/28.00  | | | | Case 1:
% 181.67/28.00  | | | | | 
% 181.67/28.00  | | | | |   (13456)  all_56_9 = e1 & op(e3, e0) = e1
% 181.67/28.00  | | | | | 
% 181.67/28.00  | | | | | REF_CLOSE: (168), (13452), (13456), (function-axioms) are inconsistent
% 181.67/28.00  | | | | |            by sub-proof #121.
% 181.67/28.00  | | | | | 
% 181.67/28.00  | | | | Case 2:
% 181.67/28.00  | | | | | 
% 181.67/28.00  | | | | |   (13457)  all_56_10 = e1 & op(e2, e0) = e1
% 181.67/28.00  | | | | | 
% 181.67/28.00  | | | | | ALPHA: (13457) implies:
% 181.67/28.00  | | | | |   (13458)  op(e2, e0) = e1
% 181.67/28.00  | | | | | 
% 181.67/28.00  | | | | | REF_CLOSE: (164), (13453), (13458), (function-axioms) are inconsistent
% 181.67/28.00  | | | | |            by sub-proof #1273.
% 181.67/28.00  | | | | | 
% 181.67/28.00  | | | | End of split
% 181.67/28.00  | | | | 
% 181.67/28.00  | | | Case 2:
% 181.67/28.00  | | | | 
% 181.67/28.00  | | | |   (13459)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 181.67/28.00  | | | |                e0) = e1)
% 181.67/28.00  | | | | 
% 181.67/28.00  | | | | BETA: splitting (13459) gives:
% 181.67/28.00  | | | | 
% 181.67/28.00  | | | | Case 1:
% 181.67/28.00  | | | | | 
% 181.67/28.00  | | | | |   (13460)  all_56_11 = e1 & op(e1, e0) = e1
% 181.67/28.00  | | | | | 
% 181.67/28.00  | | | | | ALPHA: (13460) implies:
% 181.67/28.00  | | | | |   (13461)  op(e1, e0) = e1
% 181.67/28.00  | | | | | 
% 181.67/28.00  | | | | | REF_CLOSE: (160), (13454), (13461), (function-axioms) are inconsistent
% 181.67/28.00  | | | | |            by sub-proof #1609.
% 181.67/28.00  | | | | | 
% 181.67/28.00  | | | | Case 2:
% 181.67/28.00  | | | | | 
% 181.67/28.00  | | | | |   (13462)  all_56_15 = e1 & op(e0, e0) = e1
% 181.67/28.00  | | | | | 
% 181.67/28.00  | | | | | ALPHA: (13462) implies:
% 181.67/28.00  | | | | |   (13463)  all_56_15 = e1
% 181.67/28.00  | | | | |   (13464)  op(e0, e0) = e1
% 181.67/28.00  | | | | | 
% 181.67/28.00  | | | | | BETA: splitting (46) gives:
% 181.67/28.00  | | | | | 
% 181.67/28.00  | | | | | Case 1:
% 181.67/28.00  | | | | | | 
% 181.67/28.00  | | | | | |   (13465)   ~ (all_10_2 = e3)
% 181.67/28.00  | | | | | | 
% 181.67/28.00  | | | | | | BETA: splitting (49) gives:
% 181.67/28.00  | | | | | | 
% 181.67/28.00  | | | | | | Case 1:
% 181.67/28.00  | | | | | | | 
% 181.67/28.00  | | | | | | |   (13466)   ~ (all_12_2 = e0)
% 181.67/28.00  | | | | | | | 
% 181.67/28.00  | | | | | | | REDUCE: (335), (13466) imply:
% 181.67/28.00  | | | | | | |   (13467)   ~ (all_10_2 = e0)
% 181.67/28.00  | | | | | | | 
% 181.67/28.00  | | | | | | | BETA: splitting (52) gives:
% 181.67/28.00  | | | | | | | 
% 181.67/28.00  | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | 
% 181.67/28.00  | | | | | | | |   (13468)   ~ (all_14_2 = e2)
% 181.67/28.00  | | | | | | | | 
% 181.67/28.00  | | | | | | | | BETA: splitting (55) gives:
% 181.67/28.00  | | | | | | | | 
% 181.67/28.00  | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | 
% 181.67/28.00  | | | | | | | | |   (13469)   ~ (all_16_2 = e3)
% 181.67/28.00  | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | REDUCE: (338), (13469) imply:
% 181.67/28.00  | | | | | | | | |   (13470)   ~ (all_14_2 = e3)
% 181.67/28.00  | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | BETA: splitting (58) gives:
% 181.67/28.00  | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | |   (13471)   ~ (all_18_2 = e1)
% 181.67/28.00  | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | REDUCE: (342), (13471) imply:
% 181.67/28.00  | | | | | | | | | |   (13472)   ~ (all_4_2 = e1)
% 181.67/28.00  | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | BETA: splitting (70) gives:
% 181.67/28.00  | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | |   (13473)   ~ (all_26_2 = e0)
% 181.67/28.00  | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | REDUCE: (318), (13473) imply:
% 181.67/28.00  | | | | | | | | | | |   (13474)   ~ (all_14_2 = e0)
% 181.67/28.00  | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | BETA: splitting (238) gives:
% 181.67/28.00  | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | |   (13475)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 181.67/28.00  | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 181.67/28.00  | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (13467), (13475),
% 181.67/28.00  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.00  | | | | | | | | | | | |            #1622.
% 181.67/28.00  | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | Case 2:
% 181.67/28.00  | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | |   (13476)  (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 181.67/28.00  | | | | | | | | | | | |              all_57_31 & $i(all_57_31))
% 181.67/28.00  | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | BETA: splitting (13476) gives:
% 181.67/28.00  | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | |   (13477)  all_57_30 = e0 & op(e1, e1) = e0
% 181.67/28.00  | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (13468), (13470), (13474),
% 181.67/28.00  | | | | | | | | | | | | |            (13477), (function-axioms) are inconsistent by
% 181.67/28.00  | | | | | | | | | | | | |            sub-proof #1616.
% 181.67/28.00  | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | Case 2:
% 181.67/28.00  | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | |   (13478)  op(e0, e0) = all_57_31 & $i(all_57_31)
% 181.67/28.00  | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | ALPHA: (13478) implies:
% 181.67/28.00  | | | | | | | | | | | | |   (13479)  op(e0, e0) = all_57_31
% 181.67/28.00  | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | BETA: splitting (194) gives:
% 181.67/28.00  | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | |   (13480)  all_54_10 = e3
% 181.67/28.00  | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | REF_CLOSE: (349), (13470), (13480) are inconsistent by
% 181.67/28.00  | | | | | | | | | | | | | |            sub-proof #1621.
% 181.67/28.00  | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | Case 2:
% 181.67/28.00  | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | |   (13481)   ~ (all_54_10 = e3)
% 181.67/28.00  | | | | | | | | | | | | | |   (13482)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 181.67/28.00  | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 181.67/28.00  | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | |   (13483)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 181.67/28.00  | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 181.67/28.00  | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (13467), (13483),
% 181.67/28.00  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.00  | | | | | | | | | | | | | | |            #1622.
% 181.67/28.00  | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | Case 2:
% 181.67/28.00  | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | |   (13484)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 181.67/28.00  | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 181.67/28.00  | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & $i(all_57_18))
% 181.67/28.00  | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | BETA: splitting (13484) gives:
% 181.67/28.00  | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | |   (13485)  all_57_30 = e0 & op(e1, e1) = e0
% 181.67/28.00  | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | ALPHA: (13485) implies:
% 181.67/28.00  | | | | | | | | | | | | | | | |   (13486)  op(e1, e1) = e0
% 181.67/28.00  | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (13468), (13474), (13482), (13486),
% 181.67/28.00  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.00  | | | | | | | | | | | | | | | |            #120.
% 181.67/28.00  | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | Case 2:
% 181.67/28.00  | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | |   (13487)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 181.67/28.00  | | | | | | | | | | | | | | | |              (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 181.67/28.00  | | | | | | | | | | | | | | | |              $i(all_57_18))
% 181.67/28.00  | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | BETA: splitting (13487) gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | |   (13488)  all_57_31 = e0 & op(e0, e0) = e0
% 181.67/28.00  | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | ALPHA: (13488) implies:
% 181.67/28.00  | | | | | | | | | | | | | | | | |   (13489)  op(e0, e0) = e0
% 181.67/28.00  | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (13489), (function-axioms) are
% 181.67/28.00  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 181.67/28.00  | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.00  | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | |   (13490)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 181.67/28.00  | | | | | | | | | | | | | | | | |            $i(all_57_18)
% 181.67/28.00  | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | ALPHA: (13490) implies:
% 181.67/28.00  | | | | | | | | | | | | | | | | |   (13491)   ~ (all_57_18 = e3)
% 181.67/28.00  | | | | | | | | | | | | | | | | |   (13492)  op(e3, e0) = all_57_18
% 181.67/28.00  | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | |   (13493)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 181.67/28.00  | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (13467), (13493),
% 181.67/28.00  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.00  | | | | | | | | | | | | | | | | | |            #1622.
% 181.67/28.00  | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | |   (13494)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 181.67/28.00  | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 181.67/28.00  | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_21 & $i(all_57_21))
% 181.67/28.00  | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | BETA: splitting (13494) gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | |   (13495)  all_57_30 = e0 & op(e1, e1) = e0
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | ALPHA: (13495) implies:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | |   (13496)  op(e1, e1) = e0
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (13468), (13474), (13482), (13496),
% 181.67/28.00  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.00  | | | | | | | | | | | | | | | | | | |            #120.
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | |   (13497)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 181.67/28.00  | | | | | | | | | | | | | | | | | | |              (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 181.67/28.00  | | | | | | | | | | | | | | | | | | |              $i(all_57_21))
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | BETA: splitting (13497) gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | |   (13498)  all_57_31 = e0 & op(e0, e0) = e0
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | ALPHA: (13498) implies:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | |   (13499)  op(e0, e0) = e0
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (13499), (function-axioms) are
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | |   (13500)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | |            $i(all_57_21)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | ALPHA: (13500) implies:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | |   (13501)  op(e2, e0) = all_57_21
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13482) gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | |   (13502)  all_54_10 = e2
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (13468), (13502) are inconsistent by
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1620.
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | |   (13503)   ~ (all_54_10 = e2)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | |   (13504)  all_54_10 = e1 | all_54_10 = e0
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | |   (13505)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (13467), (13505),
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | |            #1622.
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | |   (13506)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_24 & $i(all_57_24))
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13506) gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | |   (13507)  all_57_30 = e0 & op(e1, e1) = e0
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13507) implies:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | |   (13508)  op(e1, e1) = e0
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (13468), (13474), (13482), (13508),
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | |            #120.
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | |   (13509)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24))
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13509) gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | |   (13510)  all_57_31 = e0 & op(e0, e0) = e0
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13510) implies:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | |   (13511)  op(e0, e0) = e0
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (13511), (function-axioms) are
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | |   (13512)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13512) implies:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | |   (13513)   ~ (all_57_24 = e1)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | |   (13514)  op(e1, e0) = all_57_24
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13504) gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (13515)  all_54_10 = e1
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (13515) imply:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (13516)  all_14_2 = e1
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13516) implies:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (13517)  all_14_2 = e1
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (13517) imply:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (13518)   ~ (all_52_2 = e1)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (13517) imply:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (13519)   ~ (all_52_8 = e1)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13470), (13517) imply:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (13520)   ~ (e3 = e1)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (13517) imply:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (13521)  op(e1, e1) = e1
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13522)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13522) gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13523)  all_56_0 = e1 & op(e3, e3) = e1
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13523) implies:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13524)  op(e3, e3) = e1
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (13472), (13524), (function-axioms) are
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1525.
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13525)  all_56_2 = e1 & op(e2, e3) = e1
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13525) implies:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13526)  op(e2, e3) = e1
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13527)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13527) gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13528)  all_56_0 = e1 & op(e3, e3) = e1
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13528) implies:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13529)  op(e3, e3) = e1
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (13472), (13529), (function-axioms) are
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1525.
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13530)  all_56_1 = e1 & op(e3, e2) = e1
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13530) implies:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13531)  all_56_1 = e1
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13532)  op(e3, e2) = e1
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31, e0, e0, simplifying with (13464),
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (13479) gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13533)  all_57_31 = e1
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24, e0, e1, simplifying with (160), (13514)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13534)  all_57_24 = all_52_14
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21, e0, e2, simplifying with (164), (13501)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13535)  all_57_21 = all_52_13
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (13526) gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13536)  all_52_1 = e1
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_18, e0, e3, simplifying with (168), (13492)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13537)  all_57_18 = all_52_12
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (13532) gives:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13538)  all_52_4 = e1
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13491), (13537) imply:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13539)   ~ (all_52_12 = e3)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (13536) imply:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13540)   ~ (all_52_3 = e1)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (13536) imply:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13541)   ~ (all_52_9 = e1)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13541) implies:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13542)   ~ (all_52_9 = e1)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (13536) imply:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13543)   ~ (all_52_13 = e1)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (13538) imply:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13544)   ~ (all_52_7 = e1)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (13538) imply:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13545)   ~ (all_52_8 = e1)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (13538) imply:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13546)   ~ (all_52_12 = e1)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (13538) imply:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13547)   ~ (all_10_2 = e1)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13547) implies:
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13548)   ~ (all_10_2 = e1)
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (13538) imply:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13549)   ~ (all_4_2 = e1)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13550)  all_54_5 = e3
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (13465), (13550) are inconsistent by
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1268.
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13551)   ~ (all_54_5 = e3)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13552)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13552) gives:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13553)  all_54_5 = e2
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (13553) imply:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13554)  all_10_2 = e2
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13554) implies:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13555)  all_10_2 = e2
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (13555) imply:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13556)   ~ (all_52_7 = e2)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (13555) imply:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13557)   ~ (all_52_9 = e2)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (13555) imply:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13558)   ~ (all_52_13 = e2)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13465), (13555) imply:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13559)   ~ (e3 = e2)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (13555) imply:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13560)  op(e2, e2) = e2
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13561)   ~ (all_30_2 = e2)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (13561) imply:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13562)   ~ (all_4_2 = e2)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13563)  all_54_0 = e3
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (13563) imply:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13564)  all_4_2 = e3
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (13564) imply:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13565)   ~ (all_52_2 = e3)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (13564) imply:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13566)   ~ (all_52_8 = e3)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13567)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13567) gives:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13568)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13568) gives:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13569)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13569) implies:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13570)  op(e3, e2) = e3
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13532), (13570), (function-axioms) are
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1579.
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13571)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13571) implies:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13572)  op(e3, e1) = e3
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13566), (13572), (function-axioms) are
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13573)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13573) gives:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13574)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13574) implies:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13575)  op(e3, e0) = e3
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (13539), (13575), (function-axioms) are
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13576)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13576) implies:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13577)  op(e3, e2) = e2
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13532), (13577), (function-axioms) are
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1424.
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13578)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13578) gives:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13579)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (13556), (13557), (13579),
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #225.
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13580)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.67/28.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13580) gives:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13581)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13581) implies:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13582)  op(e3, e1) = e1
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13519), (13582), (function-axioms) are
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13583)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13583) gives:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13584)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13584) implies:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13585)  op(e2, e1) = e1
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13542), (13585), (function-axioms) are
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13586)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13586) implies:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13587)  op(e0, e1) = all_57_27
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13588)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13588) gives:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13589)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13589) implies:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13590)  op(e1, e0) = e1
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13513), (13514), (13590), (function-axioms) are
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1423.
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13591)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13591) implies:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13592)   ~ (all_57_15 = e0)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13593)  op(e0, e2) = all_57_26
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13594)  op(e0, e3) = all_57_25
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13595)  op(e0, all_57_31) = all_57_15
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13596)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13533), (13595) imply:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13597)  op(e0, e1) = all_57_15
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15, e1, e0, simplifying with (157), (13597)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13598)  all_57_15 = all_52_11
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_57_27,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15, e1, e0, simplifying with (13587),
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (13597) gives:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13599)  all_57_15 = all_57_27
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26, e2, e0, simplifying with (158), (13593)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13600)  all_57_26 = all_52_7
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25, e3, e0, simplifying with (159), (13594)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13601)  all_57_25 = all_52_3
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13598), (13599) imply:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13602)  all_57_27 = all_52_11
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13592), (13598) imply:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13603)   ~ (all_52_11 = e0)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13604)  all_54_7 = e3
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (13604) imply:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13605)  all_52_13 = e3
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13605) implies:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13606)  all_52_13 = e3
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13535), (13606) imply:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13607)  all_57_21 = e3
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (13606) imply:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13608)   ~ (all_52_14 = e3)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13608) implies:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13609)   ~ (all_52_14 = e3)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13610)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13610) gives:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13611)  all_56_6 = e3 & op(e1, e3) = e3
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13611) implies:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13612)  op(e1, e3) = e3
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (13565), (13612), (function-axioms) are
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #855.
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13613)  all_56_7 = e3 & op(e1, e2) = e3
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13613) implies:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13614)  all_56_7 = e3
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13596) gives:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13615)  all_57_31 = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (13588), (13615),
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1583.
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13616)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13617)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13617) gives:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13618)  all_56_1 = e0 & op(e3, e2) = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13618) implies:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13619)  all_56_1 = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13531), (13619) imply:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13620)  e1 = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13533), (13620) imply:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13621)  all_57_31 = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (13588), (13621),
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1583.
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13622)  all_56_3 = e0 & op(e2, e2) = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13622) implies:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13623)  op(e2, e2) = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13560), (13623), (function-axioms) are
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13624)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13624) gives:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13625)  all_56_7 = e0 & op(e1, e2) = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13614), (13625) are inconsistent by
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #967.
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13626)  all_56_13 = e0 & op(e0, e2) = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13626) implies:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13627)  op(e0, e2) = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13616) gives:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13628)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13628) implies:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13629)  all_57_25 = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13601), (13629) imply:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13630)  all_52_3 = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (13630) imply:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13631)   ~ (all_52_7 = e0)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13631) implies:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13632)   ~ (all_52_7 = e0)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (13627), (13632), (function-axioms) are
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1463.
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13633)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13633) gives:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13634)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13634) implies:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13635)  all_57_21 = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13607), (13635) imply:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13636)  e3 = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (13636) imply:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13637)  $false
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13637) is inconsistent.
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13638)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13638) implies:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13639)  all_57_27 = e0
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13602), (13603), (13639) are inconsistent by
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #903.
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13640)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13640) gives:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13641)  all_56_8 = e3 & op(e1, e1) = e3
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13641) implies:
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13642)  op(e1, e1) = e3
% 181.67/28.02  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (36), (45), (110), (112), (113), (133),
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (141), (143), (145), (146), (149), (160), (162),
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (164), (165), (167), (168), (169), (170), (193),
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (196), (197), (200), (201), (238), (239), (240),
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (241), (254), (265), (274), (275), (284), (285),
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (13447), (13452), (13453), (13454),
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13464), (13467), (13565), (13566), (13609),
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13642), (function-axioms) are inconsistent by
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #114.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13643)  all_56_11 = e3 & op(e1, e0) = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13609), (13643), (function-axioms) are
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #804.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13644)   ~ (all_54_7 = e3)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13645)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (275), (13644) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13646)   ~ (all_52_13 = e3)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13647)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (13539), (13646), (13647),
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #208.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13648)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13648) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13649)  all_56_11 = e3 & op(e1, e0) = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13649) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13650)  all_56_11 = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13645) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13651)  all_54_7 = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (13651) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13652)  all_52_13 = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13558), (13652) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13653)  $false
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13653) is inconsistent.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13654)   ~ (all_54_7 = e2)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13655)  all_54_7 = e1 | all_54_7 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13656)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13656) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13657)  all_56_9 = e2 & op(e3, e0) = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13657) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13658)  op(e3, e0) = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13655) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13659)  all_54_7 = e1
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (13453), (13659) are inconsistent by
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #947.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13660)  all_54_7 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (13660) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13661)  all_52_13 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13661) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13662)  all_52_13 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (13662) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13663)   ~ (all_52_9 = e0)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (13662) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13664)   ~ (all_52_14 = e0)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13664) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13665)   ~ (all_52_14 = e0)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13666)  all_54_6 = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (13666) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13667)  all_52_9 = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13667) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13668)  all_52_9 = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (13668) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13669)   ~ (all_52_11 = e3)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13669) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13670)   ~ (all_52_11 = e3)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13671)  all_54_14 = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (13670), (13671) are inconsistent by
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1259.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13672)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13672) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13673)  all_54_14 = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (13673) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13674)  all_52_11 = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13674) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13675)  all_52_11 = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (13675) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13676)   ~ (all_52_3 = e2)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (13675) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13677)  op(e0, e1) = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13678)  all_54_12 = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (13678) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13679)  all_52_3 = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13679) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13680)  all_52_3 = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13601), (13680) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13681)  all_57_25 = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13513), (13514), (13588), (13681),
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #177.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13682)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13682) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13683)  all_54_12 = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (13683) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13684)  all_52_3 = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13676), (13684) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13685)  $false
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13685) is inconsistent.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13686)   ~ (all_54_12 = e2)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13687)  all_54_12 = e1 | all_54_12 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13687) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13688)  all_54_12 = e1
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (13688) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13689)  all_52_3 = e1
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13449), (13689) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13690)  $false
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13690) is inconsistent.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13691)  all_54_12 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (13691) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13692)  all_52_3 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (13692) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13693)   ~ (all_52_7 = e0)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13693) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13694)   ~ (all_52_7 = e0)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13676), (13692) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13695)   ~ (e2 = e0)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13696)  all_54_13 = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (13696) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13697)  all_52_7 = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13600), (13697) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13698)  all_57_26 = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (160), (13587), (13588), (13596),
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13658), (13665), (13677), (13698),
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #111.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13699)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (13450), (13556), (13694), (13699) are
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1116.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13700)  all_54_14 = e1 | all_54_14 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (13451), (13603), (13700) are inconsistent
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1305.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13701)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (13542), (13557), (13663), (13701) are
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #200.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13702)  all_56_10 = e2 & op(e2, e0) = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13702) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13703)  op(e2, e0) = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13558), (13703), (function-axioms) are
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1562.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13704)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (13464), (13650), (13704),
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #109.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13705)  all_56_15 = e3 & op(e0, e0) = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13705) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13706)  op(e0, e0) = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13464), (13706), (function-axioms) are
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13707)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (13472), (13562), (13707) are
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1354.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13708)  all_30_2 = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (13708) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13709)  all_4_2 = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (13709) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13710)   ~ (all_52_12 = e2)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (13709) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13711)  op(e3, e3) = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13712)  all_54_3 = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (13539), (13712) are inconsistent by
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #809.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13713)   ~ (all_54_3 = e3)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13714)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13714) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13715)  all_54_3 = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (13710), (13715) are inconsistent by
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #748.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13716)   ~ (all_54_3 = e2)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13717)  all_54_3 = e1 | all_54_3 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13717) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13718)  all_54_3 = e1
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (13452), (13718) are inconsistent by
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #829.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13719)  all_54_3 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (13719) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13720)  all_52_12 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13720) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13721)  all_52_12 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13537), (13721) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13722)  all_57_18 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (13721) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13723)   ~ (all_52_13 = e0)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13723) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13724)   ~ (all_52_13 = e0)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (13721) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13725)   ~ (all_52_14 = e0)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13725) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13726)   ~ (all_52_14 = e0)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13539), (13721) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13727)   ~ (e3 = e0)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13710), (13721) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13728)   ~ (e2 = e0)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13452), (13721) imply:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13729)   ~ (e1 = e0)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13730)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (13532), (13711), (13730),
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1578.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13731)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13731) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13732)  all_56_4 = e3 & op(e3, e1) = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13732) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13733)  all_56_4 = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13734)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13734) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13735)  all_56_4 = e2 & op(e3, e1) = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13733), (13735) are inconsistent by
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #733.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13736)  all_56_5 = e2 & op(e2, e1) = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13736) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13737)  op(e2, e1) = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13557), (13737), (function-axioms) are
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #226.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13738)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13738) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13739)  all_56_8 = e2 & op(e1, e1) = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13739) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13740)  op(e1, e1) = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13521), (13740), (function-axioms) are
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13741)  all_56_14 = e2 & op(e0, e1) = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13741) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13742)  all_56_14 = e2
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13743)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13743) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13744)  all_56_4 = e0 & op(e3, e1) = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (169), (236), (13532),
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13539), (13711), (13744), (function-axioms) are
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #106.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13745)  all_56_5 = e0 & op(e2, e1) = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13745) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13746)  op(e2, e1) = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13747)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (13531), (13747),
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1152.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13748)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13748) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13749)  all_56_4 = e0 & op(e3, e1) = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (169), (236), (13532),
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13539), (13711), (13749), (function-axioms) are
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #106.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13750)  all_56_9 = e0 & op(e3, e0) = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13750) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13751)  all_56_9 = e0
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13752)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13752) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13753)  all_57_28 = e3 & op(e3, e3) = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13753) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13754)  op(e3, e3) = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (13531), (13733), (13751),
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13754), (function-axioms) are inconsistent by
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #970.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13755)  all_57_29 = e3 & op(e2, e2) = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13755) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13756)  op(e2, e2) = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13560), (13756), (function-axioms) are
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13757)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & $i(all_57_28))
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13757) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13758)  all_57_30 = e3 & op(e1, e1) = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13758) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13759)  op(e1, e1) = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (13470), (13474), (13504), (13759),
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1447.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13760)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28))
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13760) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13761)  all_57_31 = e3 & op(e0, e0) = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13761) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13762)  op(e0, e0) = e3
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13464), (13762), (function-axioms) are
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13763)   ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13763) implies:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13764)   ~ (all_57_28 = e3)
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13765)  op(e3, e3) = all_57_28
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.03  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13766)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13560), (13764), (13765), (13766),
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1538.
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13767)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & $i(all_57_19))
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13767) gives:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13768)  all_57_30 = e3 & op(e1, e1) = e3
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13768) implies:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13769)  op(e1, e1) = e3
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (13470), (13474), (13504), (13769),
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1447.
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13770)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19))
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13770) gives:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13771)  all_57_31 = e3 & op(e0, e0) = e3
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13771) implies:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13772)  op(e0, e0) = e3
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13464), (13772), (function-axioms) are
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13773)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13773) implies:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13774)   ~ (all_57_19 = e2)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13775)  op(e2, e3) = all_57_19
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13776)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13560), (13764), (13765), (13776),
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1538.
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13777)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & $i(all_57_25))
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13777) gives:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13778)  all_57_30 = e3 & op(e1, e1) = e3
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13778) implies:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13779)  op(e1, e1) = e3
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (13470), (13474), (13504), (13779),
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1447.
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13780)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_25))
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13780) gives:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13781)  all_57_31 = e3 & op(e0, e0) = e3
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13781) implies:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13782)  op(e0, e0) = e3
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13464), (13782), (function-axioms) are
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13783)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_25)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13783) implies:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13784)   ~ (all_57_25 = e0)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13785)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13785) gives:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13786)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13786) gives:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13787)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13787) implies:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13788)  op(e3, e2) = e3
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13532), (13788), (function-axioms) are
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1579.
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13789)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13789) implies:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13790)   ~ (all_57_3 = e0)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13791)  op(e3, all_57_18) = all_57_3
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13492), (13722), (13790), (13791),
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #796.
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13792)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13792) gives:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13793)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13793) implies:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13794)  op(e3, e0) = e3
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (168), (197), (275), (13453), (13558),
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13724), (13794), (function-axioms) are
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #943.
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13795)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13795) implies:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13796)  op(e2, e3) = e2
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13774), (13775), (13796), (function-axioms) are
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #180.
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13797)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13797) gives:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.04  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13798)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (158), (13556), (13746), (13798),
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #271.
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13799)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (165), (169), (349), (381), (13474),
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13504), (13519), (13542), (13724), (13726),
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13784), (13799), (function-axioms) are
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1277.
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13800)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (13521), (13742), (13800),
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1390.
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13801)  all_56_9 = e3 & op(e3, e0) = e3
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13801) implies:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13802)  op(e3, e0) = e3
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (168), (197), (275), (13453), (13558),
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13724), (13802), (function-axioms) are
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #943.
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13803)  all_54_5 = e1 | all_54_5 = e0
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (13467), (13548), (13803) are inconsistent
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1353.
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13804)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (13452), (13519), (13804),
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #105.
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13805)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (13449), (13518), (13805),
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            #174.
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | |   (13806)  all_54_10 = e0
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (13474), (13806) are inconsistent by
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1618.
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | End of split
% 181.67/28.05  | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | Case 2:
% 181.67/28.05  | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | |   (13807)  all_26_2 = e0
% 181.67/28.05  | | | | | | | | | | |   (13808)  ( ~ (all_26_0 = e3) & op(e0, e0) = all_26_0 &
% 181.67/28.05  | | | | | | | | | | |              $i(all_26_0)) | ( ~ (all_26_1 = e2) & op(e0, e1)
% 181.67/28.05  | | | | | | | | | | |              = all_26_1 & $i(all_26_1))
% 181.67/28.05  | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | COMBINE_EQS: (318), (13807) imply:
% 181.67/28.05  | | | | | | | | | | |   (13809)  all_14_2 = e0
% 181.67/28.05  | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | COMBINE_EQS: (309), (13809) imply:
% 181.67/28.05  | | | | | | | | | | |   (13810)  all_44_2 = e0
% 181.67/28.05  | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | REDUCE: (363), (13809) imply:
% 181.67/28.05  | | | | | | | | | | |   (13811)   ~ (all_52_2 = e0)
% 181.67/28.05  | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | REDUCE: (374), (13809) imply:
% 181.67/28.05  | | | | | | | | | | |   (13812)   ~ (all_52_6 = e0)
% 181.67/28.05  | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | REDUCE: (376), (13809) imply:
% 181.67/28.05  | | | | | | | | | | |   (13813)   ~ (all_52_8 = e0)
% 181.67/28.05  | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | REDUCE: (377), (13809) imply:
% 181.67/28.05  | | | | | | | | | | |   (13814)   ~ (all_52_9 = e0)
% 181.67/28.05  | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | REDUCE: (379), (13809) imply:
% 181.67/28.05  | | | | | | | | | | |   (13815)   ~ (all_52_11 = e0)
% 181.67/28.05  | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | REDUCE: (381), (13809) imply:
% 181.67/28.05  | | | | | | | | | | |   (13816)   ~ (all_52_14 = e0)
% 181.67/28.05  | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | REDUCE: (13470), (13809) imply:
% 181.67/28.05  | | | | | | | | | | |   (13817)   ~ (e3 = e0)
% 181.67/28.05  | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | REDUCE: (13468), (13809) imply:
% 181.67/28.05  | | | | | | | | | | |   (13818)   ~ (e2 = e0)
% 181.67/28.05  | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | REDUCE: (51), (13809) imply:
% 181.67/28.05  | | | | | | | | | | |   (13819)  op(e1, e1) = e0
% 181.67/28.05  | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | BETA: splitting (73) gives:
% 181.67/28.05  | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | |   (13820)   ~ (all_28_2 = e1)
% 181.67/28.05  | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | REDUCE: (329), (13820) imply:
% 181.67/28.05  | | | | | | | | | | | |   (13821)   ~ (all_10_2 = e1)
% 181.67/28.05  | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | BETA: splitting (199) gives:
% 181.67/28.05  | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | |   (13822)  all_54_5 = e3
% 181.67/28.05  | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | COMBINE_EQS: (283), (13822) imply:
% 181.67/28.05  | | | | | | | | | | | | |   (13823)  all_10_2 = e3
% 181.67/28.05  | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | REDUCE: (13465), (13823) imply:
% 181.67/28.05  | | | | | | | | | | | | |   (13824)  $false
% 181.67/28.05  | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | CLOSE: (13824) is inconsistent.
% 181.67/28.05  | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | Case 2:
% 181.67/28.05  | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | |   (13825)   ~ (all_54_5 = e3)
% 181.67/28.05  | | | | | | | | | | | | |   (13826)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 181.67/28.05  | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | BETA: splitting (13826) gives:
% 181.67/28.05  | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | |   (13827)  all_54_5 = e2
% 181.67/28.05  | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | COMBINE_EQS: (283), (13827) imply:
% 181.67/28.05  | | | | | | | | | | | | | |   (13828)  all_10_2 = e2
% 181.67/28.05  | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | REDUCE: (362), (13828) imply:
% 181.67/28.05  | | | | | | | | | | | | | |   (13829)   ~ (all_52_1 = e2)
% 181.67/28.05  | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | REDUCE: (365), (13828) imply:
% 181.67/28.05  | | | | | | | | | | | | | |   (13830)   ~ (all_52_4 = e2)
% 181.67/28.05  | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | REDUCE: (367), (13828) imply:
% 181.67/28.05  | | | | | | | | | | | | | |   (13831)   ~ (all_52_6 = e2)
% 181.67/28.05  | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | REDUCE: (369), (13828) imply:
% 181.67/28.05  | | | | | | | | | | | | | |   (13832)   ~ (all_52_7 = e2)
% 181.67/28.05  | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | REDUCE: (371), (13828) imply:
% 181.67/28.05  | | | | | | | | | | | | | |   (13833)   ~ (all_52_9 = e2)
% 181.67/28.05  | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | REDUCE: (13465), (13828) imply:
% 181.67/28.05  | | | | | | | | | | | | | |   (13834)   ~ (e3 = e2)
% 181.67/28.05  | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | REDUCE: (45), (13828) imply:
% 181.67/28.05  | | | | | | | | | | | | | |   (13835)  op(e2, e2) = e2
% 181.67/28.05  | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 181.67/28.05  | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | |   (13836)   ~ (all_30_2 = e2)
% 181.67/28.05  | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | REDUCE: (343), (13836) imply:
% 181.67/28.05  | | | | | | | | | | | | | | |   (13837)   ~ (all_4_2 = e2)
% 181.67/28.05  | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 181.67/28.05  | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | |   (13838)  all_54_0 = e3
% 181.67/28.05  | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (13838) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | |   (13839)  all_4_2 = e3
% 181.67/28.05  | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | REDUCE: (351), (13839) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | |   (13840)   ~ (all_52_1 = e3)
% 181.67/28.05  | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | REDUCE: (353), (13839) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | |   (13841)   ~ (all_52_2 = e3)
% 181.67/28.05  | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | REDUCE: (355), (13839) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | |   (13842)   ~ (all_52_3 = e3)
% 181.67/28.05  | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | REDUCE: (359), (13839) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | |   (13843)   ~ (all_52_8 = e3)
% 181.67/28.05  | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | REDUCE: (361), (13839) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | |   (13844)   ~ (all_52_12 = e3)
% 181.67/28.05  | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | REDUCE: (36), (13839) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | |   (13845)  op(e3, e3) = e3
% 181.67/28.05  | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 181.67/28.05  | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | |   (13846)   ~ (all_36_2 = e1)
% 181.67/28.05  | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | REDUCE: (13448), (13846) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | | |   (13847)  $false
% 181.67/28.05  | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | CLOSE: (13847) is inconsistent.
% 181.67/28.05  | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.05  | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | |   (13848)  ( ~ (all_36_0 = e2) & op(e1, e1) = all_36_0 &
% 181.67/28.05  | | | | | | | | | | | | | | | | |              $i(all_36_0)) | ( ~ (all_36_1 = e3) & op(e1, e0)
% 181.67/28.05  | | | | | | | | | | | | | | | | |              = all_36_1 & $i(all_36_1))
% 181.67/28.05  | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 181.67/28.05  | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | |   (13849)   ~ (all_44_2 = e0)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | REDUCE: (13810), (13849) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | | | |   (13850)  $false
% 181.67/28.05  | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | CLOSE: (13850) is inconsistent.
% 181.67/28.05  | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | |   (13851)  ( ~ (all_44_0 = e2) & op(e0, e0) = all_44_0 &
% 181.67/28.05  | | | | | | | | | | | | | | | | | |              $i(all_44_0)) | ( ~ (all_44_1 = e3) & op(e0, e1)
% 181.67/28.05  | | | | | | | | | | | | | | | | | |              = all_44_1 & $i(all_44_1))
% 181.67/28.05  | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | |   (13852)  all_54_14 = e3
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (13852) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | |   (13853)  all_52_11 = e3
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | REDUCE: (125), (13853) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | |   (13854)   ~ (all_52_7 = e3)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | REDUCE: (118), (13853) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | |   (13855)   ~ (all_52_9 = e3)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | REDUCE: (157), (13853) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | |   (13856)  op(e0, e1) = e3
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | |   (13857)  all_54_6 = e3
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (13855), (13857) are inconsistent by
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | |            sub-proof #1242.
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | |   (13858)   ~ (all_54_6 = e3)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | |   (13859)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | |   (13860)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13860) gives:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | |   (13861)  all_56_4 = e2 & op(e3, e1) = e2
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13861) implies:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | |   (13862)  all_56_4 = e2
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | |   (13863)  all_54_13 = e3
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (13863) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | |   (13864)  all_52_7 = e3
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13854), (13864) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | |   (13865)  $false
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13865) is inconsistent.
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | |   (13866)   ~ (all_54_13 = e3)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | |   (13867)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13867) gives:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | |   (13868)  all_54_13 = e2
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (13868) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | |   (13869)  all_52_7 = e2
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13832), (13869) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | |   (13870)  $false
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13870) is inconsistent.
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | |   (13871)   ~ (all_54_13 = e2)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | |   (13872)  all_54_13 = e1 | all_54_13 = e0
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | |   (13873)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13873) gives:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13874)  all_56_0 = e1 & op(e3, e3) = e1
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13874) implies:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13875)  op(e3, e3) = e1
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13845), (13875), (function-axioms) are
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13876)  all_56_1 = e1 & op(e3, e2) = e1
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13876) implies:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13877)  all_56_1 = e1
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | |   (13878)  op(e3, e2) = e1
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13851) gives:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13879)   ~ (all_44_0 = e2) & op(e0, e0) = all_44_0 &
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_44_0)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13879) implies:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13880)   ~ (all_44_0 = e2)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13881)  op(e0, e0) = all_44_0
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13859) gives:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13882)  all_54_6 = e2
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (13833), (13882) are inconsistent by
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1241.
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13883)   ~ (all_54_6 = e2)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13884)  all_54_6 = e1 | all_54_6 = e0
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13872) gives:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13885)  all_54_13 = e1
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (13450), (13885) are inconsistent by
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1313.
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13886)  all_54_13 = e0
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (13886) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13887)  all_52_7 = e0
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13887) implies:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13888)  all_52_7 = e0
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (13888) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13889)   ~ (all_52_3 = e0)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (13888) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13890)   ~ (all_52_4 = e0)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13891)  all_54_12 = e3
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (13842), (13891) are inconsistent by
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1265.
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13892)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13884) gives:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13893)  all_54_6 = e1
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (13893) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13894)  all_52_9 = e1
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13894) implies:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13895)  all_52_9 = e1
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (13895) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13896)   ~ (all_52_8 = e1)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13855), (13895) imply:
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13897)   ~ (e3 = e1)
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.05  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13833), (13895) imply:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13898)   ~ (e2 = e1)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13899)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (13835), (13890), (13899),
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1465.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13900)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13900) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13901)  all_56_7 = e0 & op(e1, e2) = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13812), (13901), (function-axioms) are
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1199.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13902)  all_56_13 = e0 & op(e0, e2) = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13902) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13903)  all_56_13 = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13904)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (13890), (13904),
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1060.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13905)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13905) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13906)  all_56_4 = e0 & op(e3, e1) = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13906) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13907)  all_56_4 = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13908)  op(e3, e1) = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13909)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13909) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13910)  all_56_4 = e1 & op(e3, e1) = e1
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13910) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13911)  op(e3, e1) = e1
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13908), (13911), (function-axioms) are
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1571.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13912)  all_56_5 = e1 & op(e2, e1) = e1
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13912) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13913)  op(e2, e1) = e1
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13914)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (169), (13908), (13913), (13914),
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #653.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13915)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13915) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13916)  all_56_8 = e3 & op(e1, e1) = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13916) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13917)  op(e1, e1) = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13819), (13917), (function-axioms) are
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13918)  all_56_14 = e3 & op(e0, e1) = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13918) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13919)  all_56_14 = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13920)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13920) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13921)  all_56_1 = e3 & op(e3, e2) = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13921) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13922)  op(e3, e2) = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13878), (13922), (function-axioms) are
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1579.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13923)  all_56_3 = e3 & op(e2, e2) = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13923) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13924)  op(e2, e2) = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (13465), (13924), (function-axioms) are
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #183.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13925)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13925) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13926)  all_56_7 = e3 & op(e1, e2) = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13926) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13927)  all_56_7 = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13928)  op(e1, e2) = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13929)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13929) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13930)  all_56_6 = e1 & op(e1, e3) = e1
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13930) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13931)  all_56_6 = e1
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13932)  op(e1, e3) = e1
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13933)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e2)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (13927), (13931), (13933) are
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #104.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13934)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e0) = e2)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13934) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13935)  all_56_8 = e2 & op(e1, e1) = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13935) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13936)  op(e1, e1) = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13819), (13936), (function-axioms) are
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13937)  all_56_11 = e2 & op(e1, e0) = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13937) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13938)  all_56_11 = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13860) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13861), (13907) are inconsistent by
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #870.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13939)  all_56_5 = e2 & op(e2, e1) = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13939) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13940)  op(e2, e1) = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (13908), (13909), (13940),
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #103.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13941)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (162), (213),
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (216), (13451), (13812), (13931), (13932),
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13941), (function-axioms) are inconsistent by
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #102.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13942)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13942) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13943)  all_56_8 = e2 & op(e1, e1) = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13943) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13944)  op(e1, e1) = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (216),
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13931), (13938), (13944), (function-axioms) are
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #889.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13945)  all_56_14 = e2 & op(e0, e1) = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13945) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13946)  all_56_14 = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13919), (13946) imply:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13947)  e3 = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13947) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13948)  e3 = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13927), (13948) imply:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13949)  all_56_7 = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (162), (213), (216),
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13812), (13931), (13938), (13949),
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #194.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13950)  all_56_7 = e1 & op(e1, e2) = e1
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13950) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13951)  op(e1, e2) = e1
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13928), (13951), (function-axioms) are
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1263.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13952)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (13454), (13819), (13952),
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #101.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13953)  all_56_13 = e3 & op(e0, e2) = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13953) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13954)  all_56_13 = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13903), (13954) are inconsistent by
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #783.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13955)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (13451), (13819), (13955),
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #100.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13956)  all_56_9 = e0 & op(e3, e0) = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13956) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13957)  all_56_9 = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13958)  all_54_4 = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (13840), (13958) are inconsistent by
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1078.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13959)   ~ (all_54_4 = e3)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13960)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13961)  all_54_2 = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (13843), (13961) are inconsistent by
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1335.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13962)   ~ (all_54_2 = e3)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13963)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13892) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13964)  all_54_12 = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (13964) imply:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13965)  all_52_3 = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (13965) imply:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13966)   ~ (all_52_2 = e2)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (13965) imply:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13967)  op(e0, e3) = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13963) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13968)  all_54_2 = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (13968) imply:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13969)  all_52_8 = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13969) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13970)  all_52_8 = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (13970) imply:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13971)   ~ (all_52_12 = e2)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13971) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13972)   ~ (all_52_12 = e2)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13973)  all_54_3 = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (13844), (13973) are inconsistent by
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #809.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13974)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13975)  all_54_8 = e3
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (13841), (13975) are inconsistent by
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1243.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13976)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13976) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13977)  all_54_8 = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (13966), (13977) are inconsistent by
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1240.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13978)  all_54_8 = e1 | all_54_8 = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13978) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13979)  all_54_8 = e1
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (13979) imply:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13980)  all_52_2 = e1
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13980) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13981)  all_52_2 = e1
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (13981) imply:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13982)   ~ (all_52_1 = e1)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (13981) imply:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13983)   ~ (all_52_6 = e1)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13983) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13984)   ~ (all_52_6 = e1)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (13981) imply:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13985)   ~ (all_52_14 = e1)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13974) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13986)  all_54_3 = e2
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (13972), (13986) are inconsistent by
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #748.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13987)   ~ (all_54_3 = e2)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13988)  all_54_3 = e1 | all_54_3 = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13988) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13989)  all_54_3 = e1
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (13452), (13989) are inconsistent by
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #829.
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13990)  all_54_3 = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (13990) imply:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13991)  all_52_12 = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13991) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13992)  all_52_12 = e0
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (13992) imply:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13993)   ~ (all_52_13 = e0)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13993) implies:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13994)   ~ (all_52_13 = e0)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (13992) imply:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13995)   ~ (all_52_14 = e0)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13996)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13996) gives:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13997)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13997) gives:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13998)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13998) implies:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (13999)  op(e2, e3) = e3
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (284), (13829), (13840), (13960), (13982),
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13999), (function-axioms) are inconsistent by
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1081.
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14000)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14000) implies:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14001)  op(e3, e1) = e3
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13843), (14001), (function-axioms) are
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14002)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14002) gives:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14003)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14003) implies:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14004)  op(e0, e3) = e3
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13967), (14004), (function-axioms) are
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1039.
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14005)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14005) implies:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14006)  op(e2, e3) = e2
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (284), (13829), (13960), (13982), (14006),
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1076.
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14007)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14007) gives:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14008)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14008) gives:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14009)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14009) implies:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14010)  op(e2, e1) = e2
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (276), (13814), (13833), (13884), (14010),
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1147.
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14011)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_20) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14011) implies:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14012)  op(e0, e2) = e2
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (13832), (14012), (function-axioms) are
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14013)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14013) gives:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.67/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14014)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14014) implies:
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14015)  op(e3, e1) = e1
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13896), (14015), (function-axioms) are
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.89/28.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14016)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14016) gives:
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14017)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14017) implies:
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14018)  op(e1, e2) = e1
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13984), (14018), (function-axioms) are
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #834.
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.89/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14019)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14019) implies:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14020)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14020) gives:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14021)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14021) implies:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14022)  op(e1, e0) = e1
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (14022), (function-axioms) are
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1609.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14023)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14023) implies:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14024)  op(e0, e0) = all_57_31
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14025)  op(e0, e3) = all_57_25
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14026)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31, e0, e0, simplifying with (13464),
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (14024) gives:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14027)  all_57_31 = e1
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_44_0,
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31, e0, e0, simplifying with (13881),
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (14024) gives:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14028)  all_57_31 = all_44_0
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25, e3, e0, simplifying with (13967),
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (14025) gives:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14029)  all_57_25 = e2
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14027), (14028) imply:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14030)  all_44_0 = e1
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14026) gives:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14031)  all_57_31 = e0
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (14020), (14031),
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1583.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14032)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14032) gives:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14033)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14033) implies:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14034)  all_57_25 = e0
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14029), (14034) imply:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14035)  e2 = e0
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13862), (14035) imply:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14036)  all_56_4 = e0
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (13845), (13877), (13957),
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14036), (function-axioms) are inconsistent by
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1392.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14037)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (13816), (13994), (14037),
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1317.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14038)  all_54_8 = e0
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (13811), (14038) are inconsistent by
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1236.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14039)  all_54_2 = e1 | all_54_2 = e0
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (13813), (13896), (14039) are inconsistent
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1324.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14040)  all_54_12 = e1 | all_54_12 = e0
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (13449), (13889), (14040) are inconsistent
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1255.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14041)  all_54_6 = e0
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (13814), (14041) are inconsistent by
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1235.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14042)   ~ (all_44_1 = e3) & op(e0, e1) = all_44_1 &
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_44_1)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13856), (14042), (function-axioms) are
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #99.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (14043)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14043) gives:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14044)  all_56_4 = e1 & op(e3, e1) = e1
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13862), (14044) are inconsistent by
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1127.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14045)  all_56_9 = e1 & op(e3, e0) = e1
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (13452), (14045), (function-axioms) are
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #121.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | |   (14046)  all_56_5 = e2 & op(e2, e1) = e2
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14046) implies:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | |   (14047)  op(e2, e1) = e2
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (276), (13814), (13833), (13859), (14047),
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | |            #1146.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | |   (14048)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14048) gives:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | |   (14049)  all_56_8 = e2 & op(e1, e1) = e2
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14049) implies:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | |   (14050)  op(e1, e1) = e2
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13819), (14050), (function-axioms) are
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | |   (14051)  all_56_14 = e2 & op(e0, e1) = e2
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14051) implies:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | |   (14052)  all_56_14 = e2
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | |   (14053)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14053) gives:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | |   (14054)  all_56_12 = e3 & op(e0, e3) = e3
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14054) implies:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | |   (14055)  all_56_12 = e3
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | |   (14056)  op(e0, e3) = e3
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13859) gives:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (14057)  all_54_6 = e2
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (13833), (14057) are inconsistent by
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1241.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (14058)   ~ (all_54_6 = e2)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | |   (14059)  all_54_6 = e1 | all_54_6 = e0
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14059) gives:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14060)  all_54_6 = e1
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (14060) imply:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14061)  all_52_9 = e1
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14061) implies:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14062)  all_52_9 = e1
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13855), (14062) imply:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14063)   ~ (e3 = e1)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13833), (14062) imply:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14064)   ~ (e2 = e1)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (14062) imply:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14065)  op(e2, e1) = e1
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14066)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14066) gives:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14067)  all_56_2 = e3 & op(e2, e3) = e3
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14067) implies:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14068)  op(e2, e3) = e3
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (13840), (14068), (function-axioms) are
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #286.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14069)  all_56_3 = e3 & op(e2, e2) = e3
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14069) implies:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14070)  op(e2, e2) = e3
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13835), (14070), (function-axioms) are
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14071)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14071) gives:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14072)  all_56_5 = e3 & op(e2, e1) = e3
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14072) implies:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14073)  op(e2, e1) = e3
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14065), (14073), (function-axioms) are
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14074)  all_56_10 = e3 & op(e2, e0) = e3
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14074) implies:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14075)  all_56_10 = e3
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14076)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (224),
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13835), (13845), (14075), (14076),
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #879.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14077)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (229),
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (386), (13449), (13845), (14055), (14056),
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14077), (function-axioms) are inconsistent by
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #98.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14078)  all_54_6 = e0
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (13814), (14078) are inconsistent by
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1235.
% 181.90/28.08  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | |   (14079)  all_56_13 = e3 & op(e0, e2) = e3
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (135), (162), (170), (191), (225), (263),
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | |            (13450), (13832), (13835), (13854), (14079),
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | |            #895.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | |   (14080)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14080) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | |   (14081)  all_56_14 = e3 & op(e0, e1) = e3
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14052), (14081) are inconsistent by
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1275.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | |   (14082)  all_56_15 = e3 & op(e0, e0) = e3
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14082) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | |   (14083)  op(e0, e0) = e3
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13464), (14083), (function-axioms) are
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | |   (14084)   ~ (all_54_14 = e3)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | |   (14085)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | REDUCE: (262), (14084) imply:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | |   (14086)   ~ (all_52_11 = e3)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | |   (14087)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | BETA: splitting (14087) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | |   (14088)  all_56_4 = e3 & op(e3, e1) = e3
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | ALPHA: (14088) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | |   (14089)  op(e3, e1) = e3
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13843), (14089), (function-axioms) are
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | |   (14090)  all_56_5 = e3 & op(e2, e1) = e3
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | ALPHA: (14090) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | |   (14091)  op(e2, e1) = e3
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14085) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | |   (14092)  all_54_14 = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (14092) imply:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | |   (14093)  all_52_11 = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (14093) imply:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | |   (14094)   ~ (all_52_3 = e2)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (14093) imply:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | |   (14095)   ~ (all_52_8 = e2)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (14093) imply:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | |   (14096)  op(e0, e1) = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | |   (14097)  all_54_12 = e3
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (13842), (14097) are inconsistent by
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1265.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | |   (14098)   ~ (all_54_12 = e3)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | |   (14099)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | |   (14100)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (13830), (13845), (14100),
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | |            #1131.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | |   (14101)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14101) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | |   (14102)  all_56_4 = e2 & op(e3, e1) = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14102) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | |   (14103)  all_56_4 = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14104)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14104) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14105)  all_56_12 = e2 & op(e0, e3) = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (36), (148), (159), (163), (167),
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (231), (264), (386), (13449), (13811),
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13845), (14094), (14099), (14105),
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #96.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14106)  all_56_13 = e2 & op(e0, e2) = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14106) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14107)  op(e0, e2) = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (13832), (14107), (function-axioms) are
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14108)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14108) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14109)  all_56_14 = e2 & op(e0, e1) = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14109) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14110)  all_56_14 = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14111)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14111) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14112)  all_56_4 = e1 & op(e3, e1) = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14103), (14112) are inconsistent by
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1127.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14113)  all_56_5 = e1 & op(e2, e1) = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14113) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14114)  op(e2, e1) = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14091), (14114), (function-axioms) are
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14115)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14115) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14116)  all_56_8 = e1 & op(e1, e1) = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14116) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14117)  op(e1, e1) = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (165), (217), (13814), (14103), (14110),
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14117), (function-axioms) are inconsistent by
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1062.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14118)  all_56_14 = e1 & op(e0, e1) = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14118) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14119)  op(e0, e1) = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14096), (14119), (function-axioms) are
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #862.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14120)  all_56_15 = e2 & op(e0, e0) = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14120) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14121)  op(e0, e0) = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13464), (14121), (function-axioms) are
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | |   (14122)  all_56_9 = e2 & op(e3, e0) = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14122) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | |   (14123)  all_56_9 = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | |   (14124)  op(e3, e0) = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14125)  all_54_2 = e3
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (14125) imply:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14126)  all_52_8 = e3
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13843), (14126) imply:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14127)  $false
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14127) is inconsistent.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14128)   ~ (all_54_2 = e3)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14129)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13808) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14130)   ~ (all_26_0 = e3) & op(e0, e0) = all_26_0 &
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_0)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14130) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14131)   ~ (all_26_0 = e3)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14132)  op(e0, e0) = all_26_0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14133)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14133) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14134)  all_56_0 = e2 & op(e3, e3) = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14134) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14135)  op(e3, e3) = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13845), (14135), (function-axioms) are
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1594.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14136)  all_56_2 = e2 & op(e2, e3) = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14136) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14137)  all_56_2 = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14138)  op(e2, e3) = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14129) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14139)  all_54_2 = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (14139) imply:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14140)  all_52_8 = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14095), (14140) imply:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14141)  $false
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14141) is inconsistent.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14142)   ~ (all_54_2 = e2)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14143)  all_54_2 = e1 | all_54_2 = e0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14143) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14144)  all_54_2 = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (14144) imply:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14145)  all_52_8 = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (14145) imply:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14146)   ~ (all_52_9 = e1)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14146) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14147)   ~ (all_52_9 = e1)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13843), (14145) imply:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14148)   ~ (e3 = e1)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14095), (14145) imply:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14149)   ~ (e2 = e1)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (222),
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (13835), (14137), (14138), (14147),
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1406.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14150)  all_54_2 = e0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (14150) imply:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14151)  all_52_8 = e0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13813), (14151) imply:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14152)  $false
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14152) is inconsistent.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14153)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14153) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14154)  all_56_6 = e2 & op(e1, e3) = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14154) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14155)  all_56_6 = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14099) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14156)  all_54_12 = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (14156) imply:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14157)  all_52_3 = e2
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14094), (14157) imply:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14158)  $false
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14158) is inconsistent.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14159)  all_54_12 = e1 | all_54_12 = e0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14160)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14160) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14161)  all_56_6 = e1 & op(e1, e3) = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14155), (14161) are inconsistent by
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #996.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14162)  all_56_7 = e1 & op(e1, e2) = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14162) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14163)  op(e1, e2) = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14164)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (230), (232),
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (13835), (13845), (14123), (14164),
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #962.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14165)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14165) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14166)  all_56_7 = e3 & op(e1, e2) = e3
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14166) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14167)  op(e1, e2) = e3
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14163), (14167), (function-axioms) are
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1263.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14168)  all_56_13 = e3 & op(e0, e2) = e3
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14168) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14169)  op(e0, e2) = e3
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14170)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14170) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14171)  all_56_0 = e1 & op(e3, e3) = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14171) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14172)  op(e3, e3) = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13845), (14172), (function-axioms) are
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1600.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14173)  all_56_2 = e1 & op(e2, e3) = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14173) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14174)  all_56_2 = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14175)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14175) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14176)  all_56_2 = e0 & op(e2, e3) = e0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14174), (14176) are inconsistent by
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1560.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14177)  all_56_3 = e0 & op(e2, e2) = e0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14177) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14178)  op(e2, e2) = e0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13835), (14178), (function-axioms) are
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14179)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14179) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14180)  all_56_5 = e0 & op(e2, e1) = e0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13814), (14180), (function-axioms) are
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1476.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14181)  all_56_10 = e0 & op(e2, e0) = e0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14181) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14182)  all_56_10 = e0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14183)  op(e2, e0) = e0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14159) gives:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14184)  all_54_12 = e1
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (13449), (14184) are inconsistent by
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #204.
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14185)  all_54_12 = e0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (14185) imply:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14186)  all_52_3 = e0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14186) implies:
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14187)  all_52_3 = e0
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.09  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (14187) imply:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14188)   ~ (all_52_1 = e0)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (14187) imply:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14189)   ~ (all_52_7 = e0)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14189) implies:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14190)   ~ (all_52_7 = e0)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (14187) imply:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14191)  op(e0, e3) = e0
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14192)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (168), (13844), (14182), (14192),
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #167.
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14193)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14193) gives:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14194)  all_56_11 = e3 & op(e1, e0) = e3
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14194) implies:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14195)  op(e1, e0) = e3
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14196)  all_54_4 = e3
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (13840), (14196) are inconsistent by
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1078.
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14197)   ~ (all_54_4 = e3)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14198)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14198) gives:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14199)  all_54_4 = e2
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (13829), (14199) are inconsistent by
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1084.
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14200)   ~ (all_54_4 = e2)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14201)  all_54_4 = e1 | all_54_4 = e0
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14201) gives:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14202)  all_54_4 = e1
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (14202) imply:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14203)  all_52_1 = e1
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14203) implies:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14204)  all_52_1 = e1
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (14204) imply:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14205)   ~ (all_52_2 = e1)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14205) implies:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14206)   ~ (all_52_2 = e1)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13840), (14204) imply:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14207)   ~ (e3 = e1)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13829), (14204) imply:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14208)   ~ (e2 = e1)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14209)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14209) gives:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14210)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (13840), (13843), (14210),
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #280.
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14211)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14211) gives:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.90/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14212)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14212) implies:
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14213)  op(e0, e3) = e3
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14191), (14213), (function-axioms) are
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #125.
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14214)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14214) implies:
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14215)   ~ (all_57_7 = e0)
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14216)  op(e2, e0) = all_57_21
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14217)  op(e2, all_57_21) = all_57_7
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (200), (284), (13829), (13840), (14183), (14188),
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14215), (14216), (14217), (function-axioms) are
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #129.
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14218)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14218) gives:
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14219)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14219) gives:
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14220)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14220) implies:
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14221)  op(e2, e1) = e2
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (125), (165), (190), (191), (198), (262),
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (263), (276), (13450), (13451), (13814), (13815),
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13832), (14190), (14221), (function-axioms) are
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #516.
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14222)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_20) =
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14222) implies:
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14223)  op(e0, e2) = e2
% 181.97/28.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (13832), (14223), (function-axioms) are
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14224)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14224) gives:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14225)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14225) implies:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14226)  op(e1, e3) = e1
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (14206), (14226), (function-axioms) are
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1597.
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14227)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14227) gives:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14228)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14228) implies:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14229)  op(e2, e1) = e1
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14091), (14229), (function-axioms) are
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14230)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14230) implies:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14231)  op(e0, e1) = all_57_27
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14232)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14232) gives:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14233)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14233) implies:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14234)  op(e1, e0) = e1
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (14234), (function-axioms) are
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1609.
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14235)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14235) implies:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14236)  op(e0, e2) = all_57_26
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14237)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13848) gives:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14238)   ~ (all_36_0 = e2) & op(e1, e1) = all_36_0 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_36_0)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14238) implies:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14239)   ~ (all_36_0 = e2)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14240)  op(e1, e1) = all_36_0
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (14096),
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (14231) gives:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14241)  all_57_27 = e2
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26, e2, e0, simplifying with (14169),
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (14236) gives:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14242)  all_57_26 = e3
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_36_0,
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e1, simplifying with (13819), (14240) gives:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14243)  all_36_0 = e0
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (160), (13816), (14096), (14124),
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14231), (14232), (14237), (14242),
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #111.
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14244)   ~ (all_36_1 = e3) & op(e1, e0) = all_36_1 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_36_1)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14195), (14244), (function-axioms) are
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #95.
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14245)  all_54_4 = e0
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (14188), (14245) are inconsistent by
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #924.
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14246)  all_56_15 = e3 & op(e0, e0) = e3
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14246) implies:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14247)  op(e0, e0) = e3
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14131), (14132), (14247), (function-axioms) are
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1191.
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14248)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14248) gives:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14249)  all_56_6 = e1 & op(e1, e3) = e1
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14155), (14249) are inconsistent by
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #996.
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14250)  all_56_12 = e1 & op(e0, e3) = e1
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13449), (14250), (function-axioms) are
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1106.
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14251)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (13454), (13819), (14251),
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #101.
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14252)  all_56_12 = e2 & op(e0, e3) = e2
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (36), (148), (159), (163), (167),
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (231), (264), (386), (13449), (13811),
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13845), (14094), (14099), (14252),
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #96.
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14253)   ~ (all_26_1 = e2) & op(e0, e1) = all_26_1 &
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_26_1)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14253) implies:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14254)   ~ (all_26_1 = e2)
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14255)  op(e0, e1) = all_26_1
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14096), (14254), (14255), (function-axioms) are
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1170.
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | |   (14256)  all_54_14 = e1 | all_54_14 = e0
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (13451), (13815), (14256) are inconsistent
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1305.
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.11  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | |   (14257)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | BETA: splitting (14257) gives:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | |   (14258)  all_56_8 = e3 & op(e1, e1) = e3
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | ALPHA: (14258) implies:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | |   (14259)  op(e1, e1) = e3
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13819), (14259), (function-axioms) are
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | |   (14260)  all_56_14 = e3 & op(e0, e1) = e3
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (14086), (14260), (function-axioms) are
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #176.
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.12  | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | End of split
% 181.97/28.12  | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | End of split
% 181.97/28.12  | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | Case 2:
% 181.97/28.12  | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | |   (14261)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 181.97/28.12  | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (13472), (13837), (14261) are
% 181.97/28.12  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1354.
% 181.97/28.12  | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | End of split
% 181.97/28.12  | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | Case 2:
% 181.97/28.12  | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | |   (14262)  all_30_2 = e2
% 181.97/28.12  | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | COMBINE_EQS: (343), (14262) imply:
% 181.97/28.12  | | | | | | | | | | | | | | |   (14263)  all_4_2 = e2
% 181.97/28.12  | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | SIMP: (14263) implies:
% 181.97/28.12  | | | | | | | | | | | | | | |   (14264)  all_4_2 = e2
% 181.97/28.12  | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | REDUCE: (36), (14264) imply:
% 181.97/28.12  | | | | | | | | | | | | | | |   (14265)  op(e3, e3) = e2
% 181.97/28.12  | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 181.97/28.12  | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | Case 1:
% 181.97/28.12  | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | |   (14266)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 181.97/28.12  | | | | | | | | | | | | | | | |              & op(e1, e2) = e2)
% 181.97/28.12  | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | BETA: splitting (14266) gives:
% 181.97/28.12  | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.12  | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | |   (14267)  all_56_6 = e2 & op(e1, e3) = e2
% 181.97/28.12  | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | ALPHA: (14267) implies:
% 181.97/28.12  | | | | | | | | | | | | | | | | |   (14268)  all_56_6 = e2
% 181.97/28.12  | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 181.97/28.12  | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | |   (14269)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 181.97/28.12  | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 181.97/28.12  | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | BETA: splitting (14269) gives:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | |   (14270)  all_56_0 = e1 & op(e3, e3) = e1
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | ALPHA: (14270) implies:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | |   (14271)  op(e3, e3) = e1
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14265), (14271), (function-axioms) are
% 181.97/28.12  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | |   (14272)  all_56_2 = e1 & op(e2, e3) = e1
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | ALPHA: (14272) implies:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | |   (14273)  all_56_2 = e1
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | |   (14274)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (14273), (14274),
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | |            #1559.
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | |   (14275)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | BETA: splitting (14275) gives:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | |   (14276)  all_56_6 = e0 & op(e1, e3) = e0
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (13811), (14276), (function-axioms) are
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1197.
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | |   (14277)  all_56_12 = e0 & op(e0, e3) = e0
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | ALPHA: (14277) implies:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | |   (14278)  all_56_12 = e0
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (14265), (14268), (14273),
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | |            (14278), (function-axioms) are inconsistent by
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | |            sub-proof #446.
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.12  | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | |   (14279)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 181.97/28.12  | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 181.97/28.12  | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | BETA: splitting (14279) gives:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | |   (14280)  all_56_6 = e1 & op(e1, e3) = e1
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14268), (14280) are inconsistent by
% 181.97/28.12  | | | | | | | | | | | | | | | | | | |            sub-proof #996.
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | |   (14281)  all_56_12 = e1 & op(e0, e3) = e1
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13449), (14281), (function-axioms) are
% 181.97/28.12  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1106.
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | End of split
% 181.97/28.12  | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | End of split
% 181.97/28.12  | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.12  | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | |   (14282)  all_56_7 = e2 & op(e1, e2) = e2
% 181.97/28.12  | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | ALPHA: (14282) implies:
% 181.97/28.12  | | | | | | | | | | | | | | | | |   (14283)  op(e1, e2) = e2
% 181.97/28.12  | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (13831), (14283), (function-axioms) are
% 181.97/28.12  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 181.97/28.12  | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | End of split
% 181.97/28.12  | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | Case 2:
% 181.97/28.12  | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | |   (14284)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 181.97/28.12  | | | | | | | | | | | | | | | |              e2 & op(e1, e0) = e2)
% 181.97/28.12  | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | BETA: splitting (14284) gives:
% 181.97/28.12  | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.12  | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | |   (14285)  all_56_8 = e2 & op(e1, e1) = e2
% 181.97/28.12  | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | ALPHA: (14285) implies:
% 181.97/28.12  | | | | | | | | | | | | | | | | |   (14286)  op(e1, e1) = e2
% 181.97/28.12  | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13819), (14286), (function-axioms) are
% 181.97/28.12  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 181.97/28.12  | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.12  | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | |   (14287)  all_56_11 = e2 & op(e1, e0) = e2
% 181.97/28.12  | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | ALPHA: (14287) implies:
% 181.97/28.12  | | | | | | | | | | | | | | | | |   (14288)  op(e1, e0) = e2
% 181.97/28.12  | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 181.97/28.12  | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | |   (14289)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 181.97/28.12  | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 181.97/28.12  | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (229),
% 181.97/28.12  | | | | | | | | | | | | | | | | | |            (231), (235), (386), (13832), (14265), (14289),
% 181.97/28.12  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.97/28.12  | | | | | | | | | | | | | | | | | |            #1543.
% 181.97/28.12  | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | |   (14290)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 181.97/28.12  | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 181.97/28.12  | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | BETA: splitting (14290) gives:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | |   (14291)  all_56_14 = e2 & op(e0, e1) = e2
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | ALPHA: (14291) implies:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | |   (14292)  op(e0, e1) = e2
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | |   (14293)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13835), (14265), (14293), (function-axioms)
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1542.
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | |   (14294)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & $i(all_57_28))
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | BETA: splitting (14294) gives:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | |   (14295)  all_57_30 = e3 & op(e1, e1) = e3
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | ALPHA: (14295) implies:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | |   (14296)  op(e1, e1) = e3
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13819), (14296), (function-axioms) are
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | |   (14297)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | |              (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28))
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14297) gives:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | |   (14298)  all_57_31 = e3 & op(e0, e0) = e3
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14298) implies:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | |   (14299)  op(e0, e0) = e3
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13464), (14299), (function-axioms) are
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | |   (14300)   ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14300) implies:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | |   (14301)   ~ (all_57_28 = e3)
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | |   (14302)  op(e3, e3) = all_57_28
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | |   (14303)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13835), (14301), (14302), (14303),
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | |            #1538.
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 181.97/28.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | |   (14304)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & $i(all_57_25))
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14304) gives:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | |   (14305)  all_57_30 = e3 & op(e1, e1) = e3
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14305) implies:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | |   (14306)  op(e1, e1) = e3
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13819), (14306), (function-axioms) are
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | |   (14307)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_25))
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14307) gives:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (14308)  all_57_31 = e3 & op(e0, e0) = e3
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14308) implies:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (14309)  op(e0, e0) = e3
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13464), (14309), (function-axioms) are
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (14310)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_25)
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14310) implies:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (14311)   ~ (all_57_25 = e0)
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (14312)  op(e0, e3) = all_57_25
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14313)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13835), (14301), (14302), (14313),
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1538.
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14314)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_22 & $i(all_57_22))
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14314) gives:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14315)  all_57_30 = e3 & op(e1, e1) = e3
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14315) implies:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14316)  op(e1, e1) = e3
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13819), (14316), (function-axioms) are
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14317)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22))
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14317) gives:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14318)  all_57_31 = e3 & op(e0, e0) = e3
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14318) implies:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14319)  op(e0, e0) = e3
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13464), (14319), (function-axioms) are
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14320)   ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22)
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14320) implies:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14321)   ~ (all_57_22 = e1)
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14322)  op(e1, e3) = all_57_22
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, e0, simplifying with (157), (14292) gives:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14323)  all_52_11 = e2
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25, e3, e0, simplifying with (159), (14312)
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14324)  all_57_25 = all_52_3
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e1, simplifying with (160), (14288) gives:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14325)  all_52_14 = e2
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22, e3, e1, simplifying with (163), (14322)
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14326)  all_57_22 = all_52_2
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14321), (14326) imply:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14327)   ~ (all_52_2 = e1)
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14311), (14324) imply:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14328)   ~ (all_52_3 = e0)
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (14325) imply:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14329)   ~ (all_52_2 = e2)
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (14323) imply:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14330)   ~ (all_52_3 = e2)
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14331)  all_54_8 = e3
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (14331) imply:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14332)  all_52_2 = e3
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14332) implies:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14333)  all_52_2 = e3
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (14333) imply:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14334)   ~ (all_52_3 = e3)
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (192), (264), (13449), (14328), (14330), (14334)
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #149.
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14335)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (13811), (14327), (14329), (14335) are
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #117.
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | |   (14336)  all_56_15 = e2 & op(e0, e0) = e2
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | ALPHA: (14336) implies:
% 182.03/28.12  | | | | | | | | | | | | | | | | | | |   (14337)  op(e0, e0) = e2
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13464), (14337), (function-axioms) are
% 182.03/28.12  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 182.03/28.12  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.12  | | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | | End of split
% 182.03/28.12  | | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | | End of split
% 182.03/28.12  | | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | | End of split
% 182.03/28.12  | | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | End of split
% 182.03/28.12  | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | Case 2:
% 182.03/28.12  | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | |   (14338)  all_54_5 = e1 | all_54_5 = e0
% 182.03/28.12  | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | REF_CLOSE: (283), (13467), (13821), (14338) are inconsistent
% 182.03/28.12  | | | | | | | | | | | | | |            by sub-proof #1353.
% 182.03/28.12  | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | End of split
% 182.03/28.12  | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | End of split
% 182.03/28.12  | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | Case 2:
% 182.03/28.12  | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | |   (14339)  all_28_2 = e1
% 182.03/28.12  | | | | | | | | | | | |   (14340)  ( ~ (all_28_0 = e0) & op(e1, e1) = all_28_0 &
% 182.03/28.12  | | | | | | | | | | | |              $i(all_28_0)) | ( ~ (all_28_1 = e3) & op(e1, e2)
% 182.03/28.12  | | | | | | | | | | | |              = all_28_1 & $i(all_28_1))
% 182.03/28.12  | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | COMBINE_EQS: (329), (14339) imply:
% 182.03/28.12  | | | | | | | | | | | |   (14341)  all_10_2 = e1
% 182.03/28.12  | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | SIMP: (14341) implies:
% 182.03/28.12  | | | | | | | | | | | |   (14342)  all_10_2 = e1
% 182.03/28.12  | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | REDUCE: (367), (14342) imply:
% 182.03/28.12  | | | | | | | | | | | |   (14343)   ~ (all_52_6 = e1)
% 182.03/28.12  | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | REDUCE: (371), (14342) imply:
% 182.03/28.12  | | | | | | | | | | | |   (14344)   ~ (all_52_9 = e1)
% 182.03/28.12  | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | REDUCE: (13465), (14342) imply:
% 182.03/28.12  | | | | | | | | | | | |   (14345)   ~ (e3 = e1)
% 182.03/28.12  | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | REDUCE: (45), (14342) imply:
% 182.03/28.12  | | | | | | | | | | | |   (14346)  op(e2, e2) = e1
% 182.03/28.12  | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | BETA: splitting (214) gives:
% 182.03/28.12  | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | Case 1:
% 182.03/28.12  | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | |   (14347)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 182.03/28.12  | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 182.03/28.12  | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | BETA: splitting (14347) gives:
% 182.03/28.12  | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | Case 1:
% 182.03/28.12  | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | |   (14348)  all_56_6 = e1 & op(e1, e3) = e1
% 182.03/28.12  | | | | | | | | | | | | | | 
% 182.03/28.12  | | | | | | | | | | | | | | ALPHA: (14348) implies:
% 182.03/28.13  | | | | | | | | | | | | | |   (14349)  all_56_6 = e1
% 182.03/28.13  | | | | | | | | | | | | | |   (14350)  op(e1, e3) = e1
% 182.03/28.13  | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 182.03/28.13  | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | |   (14351)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 182.03/28.13  | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 182.03/28.13  | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | BETA: splitting (14351) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | |   (14352)  all_56_4 = e1 & op(e3, e1) = e1
% 182.03/28.13  | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | ALPHA: (14352) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | |   (14353)  all_56_4 = e1
% 182.03/28.13  | | | | | | | | | | | | | | | |   (14354)  op(e3, e1) = e1
% 182.03/28.13  | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | BETA: splitting (14340) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | |   (14355)   ~ (all_28_0 = e0) & op(e1, e1) = all_28_0 &
% 182.03/28.13  | | | | | | | | | | | | | | | | |            $i(all_28_0)
% 182.03/28.13  | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | REF_CLOSE: (13819), (14355), (function-axioms) are
% 182.03/28.13  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #199.
% 182.03/28.13  | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | |   (14356)   ~ (all_28_1 = e3) & op(e1, e2) = all_28_1 &
% 182.03/28.13  | | | | | | | | | | | | | | | | |            $i(all_28_1)
% 182.03/28.13  | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | ALPHA: (14356) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | |   (14357)   ~ (all_28_1 = e3)
% 182.03/28.13  | | | | | | | | | | | | | | | | |   (14358)  op(e1, e2) = all_28_1
% 182.03/28.13  | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | BETA: splitting (14347) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |              all_28_1, e2, e1, simplifying with (162), (14358)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |              gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |   (14359)  all_52_6 = all_28_1
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (14350) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |   (14360)  all_52_2 = e1
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (14354) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |   (14361)  all_52_8 = e1
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (14359) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |   (14362)  all_54_9 = all_28_1
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | REDUCE: (144), (14360) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |   (14363)   ~ (all_52_3 = e1)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | REDUCE: (141), (14360) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |   (14364)   ~ (all_52_14 = e1)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | REDUCE: (136), (14359) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |   (14365)   ~ (all_52_4 = all_28_1)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | REDUCE: (128), (14359) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |   (14366)   ~ (all_52_7 = all_28_1)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | SIMP: (14366) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |   (14367)   ~ (all_52_7 = all_28_1)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | REDUCE: (126), (14359) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |   (14368)   ~ (all_52_14 = all_28_1)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | SIMP: (14368) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |   (14369)   ~ (all_52_14 = all_28_1)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | REDUCE: (14343), (14359) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |   (14370)   ~ (all_28_1 = e1)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | REDUCE: (13812), (14359) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |   (14371)   ~ (all_28_1 = e0)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | REDUCE: (123), (14361) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |   (14372)   ~ (all_52_9 = e1)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | REDUCE: (121), (14361) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | |   (14373)   ~ (all_52_11 = e1)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | |   (14374)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | BETA: splitting (14374) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | |   (14375)  all_57_28 = e3 & op(e3, e3) = e3
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | ALPHA: (14375) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | |   (14376)  op(e3, e3) = e3
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | |   (14377)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14377) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | |   (14378)  all_56_6 = e3 & op(e1, e3) = e3
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14378) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | |   (14379)  all_56_6 = e3
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14349), (14379) are inconsistent by
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1546.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | |   (14380)  all_56_7 = e3 & op(e1, e2) = e3
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14380) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | |   (14381)  all_56_7 = e3
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | |   (14382)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e2)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (14349), (14381), (14382) are
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #104.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | |   (14383)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e0) = e2)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14383) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (14384)  all_56_8 = e2 & op(e1, e1) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14384) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (14385)  op(e1, e1) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13819), (14385), (function-axioms) are
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (14386)  all_56_11 = e2 & op(e1, e0) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14386) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (14387)  op(e1, e0) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14388)  all_54_9 = e3
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14357), (14362), (14388) are inconsistent by
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #94.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14389)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14389) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14390)  all_54_9 = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14362), (14390) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14391)  all_28_1 = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14391) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14392)  all_28_1 = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14369), (14392) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14393)   ~ (all_52_14 = e2)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (14387), (14393), (function-axioms) are
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #93.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14394)  all_54_9 = e1 | all_54_9 = e0
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (13812), (14343), (14394) are inconsistent
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1320.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | |   (14395)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14395) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | |   (14396)  all_56_8 = e3 & op(e1, e1) = e3
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14396) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | |   (14397)  op(e1, e1) = e3
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13819), (14397), (function-axioms) are
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | |   (14398)  all_56_11 = e3 & op(e1, e0) = e3
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14398) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | |   (14399)  op(e1, e0) = e3
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | |   (14400)  all_54_9 = e3
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14357), (14362), (14400) are inconsistent by
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #94.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | |   (14401)   ~ (all_54_9 = e3)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | |   (14402)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14402) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (14403)  all_54_9 = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14362), (14403) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (14404)  all_28_1 = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14404) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (14405)  all_28_1 = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14365), (14405) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (14406)   ~ (all_52_4 = e2)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14367), (14405) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (14407)   ~ (all_52_7 = e2)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14369), (14405) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (14408)   ~ (all_52_14 = e2)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14357), (14405) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (14409)   ~ (e3 = e2)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14358), (14405) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (14410)  op(e1, e2) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14411)   ~ (all_36_2 = e1)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13448), (14411) imply:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14412)  $false
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14412) is inconsistent.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14413)  ( ~ (all_36_0 = e2) & op(e1, e1) = all_36_0 &
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_36_0)) | ( ~ (all_36_1 = e3) & op(e1, e0)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_36_1 & $i(all_36_1))
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14414)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (14346), (14376), (14414),
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1348.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14415)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_26 & $i(all_57_26))
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14415) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14416)  all_57_30 = e2 & op(e1, e1) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14416) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14417)  op(e1, e1) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13819), (14417), (function-axioms) are
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14418)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26))
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14418) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14419)  all_57_31 = e2 & op(e0, e0) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14419) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14420)  op(e0, e0) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13464), (14420), (function-axioms) are
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14421)   ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_26)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14421) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14422)   ~ (all_57_26 = e0)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14423)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (14346), (14376), (14423),
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1348.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14424)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & $i(all_57_23))
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14424) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14425)  all_57_30 = e2 & op(e1, e1) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14425) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14426)  op(e1, e1) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13819), (14426), (function-axioms) are
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14427)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23))
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14427) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14428)  all_57_31 = e2 & op(e0, e0) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14428) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14429)  op(e0, e0) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13464), (14429), (function-axioms) are
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14430)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_23)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14430) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14431)  op(e1, e2) = all_57_23
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14413) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14432)   ~ (all_36_0 = e2) & op(e1, e1) = all_36_0 &
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_36_0)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14432) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14433)   ~ (all_36_0 = e2)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14434)  op(e1, e1) = all_36_0
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14435)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (14346), (14376), (14435),
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1348.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14436)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_29 & $i(all_57_29))
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14436) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14437)  all_57_30 = e2 & op(e1, e1) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14437) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14438)  op(e1, e1) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14433), (14434), (14438), (function-axioms) are
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #92.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14439)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29))
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14439) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14440)  all_57_31 = e2 & op(e0, e0) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14440) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14441)  op(e0, e0) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13464), (14441), (function-axioms) are
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14442)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14442) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14443)   ~ (all_57_29 = e2)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14444)  op(e2, e2) = all_57_29
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14445)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14376), (14443), (14444), (14445),
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #282.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14446)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_16 & $i(all_57_16))
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14446) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14447)  all_57_30 = e2 & op(e1, e1) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14447) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14448)  op(e1, e1) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14433), (14434), (14448), (function-axioms) are
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #92.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14449)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16))
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14449) gives:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14450)  all_57_31 = e2 & op(e0, e0) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14450) implies:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14451)  op(e0, e0) = e2
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13464), (14451), (function-axioms) are
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14452)   ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14452) implies:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14453)   ~ (all_57_16 = e3)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14454)  op(e3, e2) = all_57_16
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14455)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14455) gives:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14456)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14456) gives:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14457)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14457) implies:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14458)  all_57_16 = e3
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14453), (14458) imply:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14459)  $false
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14459) is inconsistent.
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14460)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14460) implies:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14461)  op(e1, e3) = e3
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (163), (193), (265), (13454), (13816),
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14408), (14461), (function-axioms) are
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #264.
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14462)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (168), (170), (193), (265), (13454),
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13816), (14406), (14408), (14462),
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #273.
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14463)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14463) gives:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14464)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (14346), (14407), (14464),
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1027.
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14465)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14465) gives:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14466)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14466) implies:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14467)   ~ (all_57_9 = e2)
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14468)  op(e1, all_57_23) = all_57_9
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_23, e2, e1, simplifying with (14410),
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (14431) gives:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14469)  all_57_23 = e2
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14468), (14469) imply:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14470)  op(e1, e2) = all_57_9
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_57_9,
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (14410), (14470) gives:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14471)  all_57_9 = e2
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14467), (14471) imply:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14472)  $false
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14472) is inconsistent.
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14473)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14473) gives:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14474)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14474) implies:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14475)  op(e2, e1) = e1
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14344), (14475), (function-axioms) are
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14476)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14476) implies:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14477)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14477) gives:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14478)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14478) implies:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14479)  op(e1, e0) = e1
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (14479), (function-axioms) are
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1609.
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14480)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14480) implies:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14481)  op(e0, e2) = all_57_26
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14482)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26, e2, e0, simplifying with (158), (14481)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14483)  all_57_26 = all_52_7
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_23, e2, e1, simplifying with (14410),
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (14431) gives:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14484)  all_57_23 = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16, e2, e3, simplifying with (170), (14454)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14485)  all_57_16 = all_52_4
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e3,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e3, simplifying with (36), (14376) gives:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14486)  all_4_2 = e3
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14422), (14483) imply:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14487)   ~ (all_52_7 = e0)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14488)  all_54_13 = e3
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (14488) imply:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14489)  all_52_7 = e3
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14489) implies:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14490)  all_52_7 = e3
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14483), (14490) imply:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14491)  all_57_26 = e3
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (14490) imply:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14492)   ~ (all_52_3 = e3)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (14490) imply:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14493)   ~ (all_52_11 = e3)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14493) implies:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14494)   ~ (all_52_11 = e3)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14495)  all_54_14 = e3
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (14495) imply:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14496)  all_52_11 = e3
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14494), (14496) imply:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14497)  $false
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14497) is inconsistent.
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14498)   ~ (all_54_14 = e3)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14499)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14499) gives:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14500)  all_54_14 = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (14500) imply:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14501)  all_52_11 = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (14501) imply:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14502)   ~ (all_52_3 = e2)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14503)  all_54_12 = e3
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (14492), (14503) are inconsistent by
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1265.
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14504)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14504) gives:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14505)  all_54_12 = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (14502), (14505) are inconsistent by
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #709.
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14506)   ~ (all_54_12 = e2)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14507)  all_54_12 = e1 | all_54_12 = e0
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14508)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14508) gives:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14509)  all_56_0 = e2 & op(e3, e3) = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14509) implies:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14510)  op(e3, e3) = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14376), (14510), (function-axioms) are
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1594.
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14511)  all_56_2 = e2 & op(e2, e3) = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14511) implies:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14512)  all_56_2 = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14513)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14513) gives:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14514)  all_56_0 = e2 & op(e3, e3) = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14514) implies:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14515)  op(e3, e3) = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (36), (229), (235),
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (14349), (14512), (14515),
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #479.
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14516)  all_56_1 = e2 & op(e3, e2) = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14516) implies:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14517)  op(e3, e2) = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (14406), (14517), (function-axioms) are
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14518)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14518) gives:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14519)  all_56_4 = e2 & op(e3, e1) = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14519) implies:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14520)  all_56_4 = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14353), (14520) are inconsistent by
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #877.
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14521)  all_56_9 = e2 & op(e3, e0) = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14521) implies:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14522)  op(e3, e0) = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14482) gives:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14523)  all_57_31 = e0
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14477), (14484), (14523), (function-axioms) are
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #778.
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14524)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (160), (13816), (14491), (14522),
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14524), (function-axioms) are inconsistent by
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #112.
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14525)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14525) gives:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14526)  all_56_6 = e2 & op(e1, e3) = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14349), (14526) are inconsistent by
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1193.
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14527)  all_56_12 = e2 & op(e0, e3) = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14527) implies:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14528)  all_56_12 = e2
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (148), (167), (229), (264), (386), (13449),
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14350), (14502), (14507), (14528),
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #97.
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14529)  all_54_14 = e1 | all_54_14 = e0
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (13451), (13815), (14529) are inconsistent
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1305.
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14530)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (13450), (14407), (14487), (14530) are
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1116.
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14531)   ~ (all_36_1 = e3) & op(e1, e0) = all_36_1 &
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_36_1)
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14399), (14531), (function-axioms) are
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #95.
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |   (14532)  all_54_9 = e1 | all_54_9 = e0
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (13812), (14343), (14532) are inconsistent
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1320.
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | |   (14533)  all_57_29 = e3 & op(e2, e2) = e3
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | ALPHA: (14533) implies:
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | |   (14534)  op(e2, e2) = e3
% 182.03/28.15  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14346), (14534), (function-axioms) are
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | |   (14535)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_22 & $i(all_57_22))
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | BETA: splitting (14535) gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | |   (14536)  all_57_30 = e3 & op(e1, e1) = e3
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | ALPHA: (14536) implies:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | |   (14537)  op(e1, e1) = e3
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13819), (14537), (function-axioms) are
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | |   (14538)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | |              (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22))
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13464), (14350), (14538), (function-axioms)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #90.
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | |   (14539)  all_56_7 = e1 & op(e1, e2) = e1
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | ALPHA: (14539) implies:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | |   (14540)  op(e1, e2) = e1
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (14343), (14540), (function-axioms) are
% 182.03/28.16  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #834.
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.16  | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | |   (14541)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 182.03/28.16  | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | BETA: splitting (14541) gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | |   (14542)  all_56_8 = e1 & op(e1, e1) = e1
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | ALPHA: (14542) implies:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | |   (14543)  op(e1, e1) = e1
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 182.03/28.16  | | | | | | | | | | | | | | | | | | |            (220), (13814), (14353), (14543),
% 182.03/28.16  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.16  | | | | | | | | | | | | | | | | | | |            #1467.
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | |   (14544)  all_56_11 = e1 & op(e1, e0) = e1
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | ALPHA: (14544) implies:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | |   (14545)  op(e1, e0) = e1
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (14545), (function-axioms) are
% 182.03/28.16  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1609.
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.16  | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | End of split
% 182.03/28.16  | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | End of split
% 182.03/28.16  | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | |   (14546)  all_56_5 = e1 & op(e2, e1) = e1
% 182.03/28.16  | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | ALPHA: (14546) implies:
% 182.03/28.16  | | | | | | | | | | | | | | | |   (14547)  op(e2, e1) = e1
% 182.03/28.16  | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14344), (14547), (function-axioms) are
% 182.03/28.16  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 182.03/28.16  | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | End of split
% 182.03/28.16  | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | |   (14548)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 182.03/28.16  | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 182.03/28.16  | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (162), (213),
% 182.03/28.16  | | | | | | | | | | | | | | |            (215), (216), (13451), (13812), (14349), (14350),
% 182.03/28.16  | | | | | | | | | | | | | | |            (14548), (function-axioms) are inconsistent by
% 182.03/28.16  | | | | | | | | | | | | | | |            sub-proof #102.
% 182.03/28.16  | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | End of split
% 182.03/28.16  | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | |   (14549)  all_56_7 = e1 & op(e1, e2) = e1
% 182.03/28.16  | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | ALPHA: (14549) implies:
% 182.03/28.16  | | | | | | | | | | | | | |   (14550)  op(e1, e2) = e1
% 182.03/28.16  | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | REF_CLOSE: (162), (14343), (14550), (function-axioms) are
% 182.03/28.16  | | | | | | | | | | | | | |            inconsistent by sub-proof #834.
% 182.03/28.16  | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | End of split
% 182.03/28.16  | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | |   (14551)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 182.03/28.16  | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 182.03/28.16  | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | REF_CLOSE: (4), (160), (13454), (13819), (14551),
% 182.03/28.16  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.16  | | | | | | | | | | | | |            #101.
% 182.03/28.16  | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | End of split
% 182.03/28.16  | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | End of split
% 182.03/28.16  | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | End of split
% 182.03/28.16  | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | |   (14552)  all_18_2 = e1
% 182.03/28.16  | | | | | | | | | |   (14553)  ( ~ (all_18_0 = e0) & op(e1, e1) = all_18_0 &
% 182.03/28.16  | | | | | | | | | |              $i(all_18_0)) | ( ~ (all_18_1 = e2) & op(e1, e3)
% 182.03/28.16  | | | | | | | | | |              = all_18_1 & $i(all_18_1))
% 182.03/28.16  | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | COMBINE_EQS: (342), (14552) imply:
% 182.03/28.16  | | | | | | | | | |   (14554)  all_4_2 = e1
% 182.03/28.16  | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | REDUCE: (351), (14554) imply:
% 182.03/28.16  | | | | | | | | | |   (14555)   ~ (all_52_1 = e1)
% 182.03/28.16  | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | REDUCE: (359), (14554) imply:
% 182.03/28.16  | | | | | | | | | |   (14556)   ~ (all_52_8 = e1)
% 182.03/28.16  | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | REDUCE: (36), (14554) imply:
% 182.03/28.16  | | | | | | | | | |   (14557)  op(e3, e3) = e1
% 182.03/28.16  | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | BETA: splitting (250) gives:
% 182.03/28.16  | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | |   (14558)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 182.03/28.16  | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 182.03/28.16  | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | REF_CLOSE: (8), (45), (13465), (14557), (14558),
% 182.03/28.16  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.16  | | | | | | | | | | |            #182.
% 182.03/28.16  | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | |   (14559)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 182.03/28.16  | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 182.03/28.16  | | | | | | | | | | |              op(e3, e3) = all_57_28 & $i(all_57_28))
% 182.03/28.16  | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | BETA: splitting (14559) gives:
% 182.03/28.16  | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | |   (14560)  all_57_30 = e3 & op(e1, e1) = e3
% 182.03/28.16  | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | ALPHA: (14560) implies:
% 182.03/28.16  | | | | | | | | | | | |   (14561)  op(e1, e1) = e3
% 182.03/28.16  | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | REF_CLOSE: (51), (13470), (14561), (function-axioms) are
% 182.03/28.16  | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 182.03/28.16  | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | |   (14562)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 182.03/28.16  | | | | | | | | | | | |              (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 182.03/28.16  | | | | | | | | | | | |              $i(all_57_28))
% 182.03/28.16  | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | BETA: splitting (14562) gives:
% 182.03/28.16  | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | |   (14563)  all_57_31 = e3 & op(e0, e0) = e3
% 182.03/28.16  | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | ALPHA: (14563) implies:
% 182.03/28.16  | | | | | | | | | | | | |   (14564)  op(e0, e0) = e3
% 182.03/28.16  | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | REF_CLOSE: (8), (13464), (14564), (function-axioms) are
% 182.03/28.16  | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 182.03/28.16  | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | |   (14565)   ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 182.03/28.16  | | | | | | | | | | | | |            $i(all_57_28)
% 182.03/28.16  | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | ALPHA: (14565) implies:
% 182.03/28.16  | | | | | | | | | | | | |   (14566)   ~ (all_57_28 = e3)
% 182.03/28.16  | | | | | | | | | | | | |   (14567)  op(e3, e3) = all_57_28
% 182.03/28.16  | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | BETA: splitting (253) gives:
% 182.03/28.16  | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | |   (14568)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 182.03/28.16  | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 182.03/28.16  | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | REF_CLOSE: (45), (13465), (14566), (14567), (14568),
% 182.03/28.16  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.16  | | | | | | | | | | | | | |            #89.
% 182.03/28.16  | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | |   (14569)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 182.03/28.16  | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 182.03/28.16  | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & $i(all_57_19))
% 182.03/28.16  | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | BETA: splitting (14569) gives:
% 182.03/28.16  | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | |   (14570)  all_57_30 = e3 & op(e1, e1) = e3
% 182.03/28.16  | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | ALPHA: (14570) implies:
% 182.03/28.16  | | | | | | | | | | | | | | |   (14571)  op(e1, e1) = e3
% 182.03/28.16  | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | REF_CLOSE: (51), (13470), (14571), (function-axioms) are
% 182.03/28.16  | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 182.03/28.16  | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | |   (14572)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 182.03/28.16  | | | | | | | | | | | | | | |              (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 182.03/28.16  | | | | | | | | | | | | | | |              $i(all_57_19))
% 182.03/28.16  | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | BETA: splitting (14572) gives:
% 182.03/28.16  | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | |   (14573)  all_57_31 = e3 & op(e0, e0) = e3
% 182.03/28.16  | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | ALPHA: (14573) implies:
% 182.03/28.16  | | | | | | | | | | | | | | | |   (14574)  op(e0, e0) = e3
% 182.03/28.16  | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13464), (14574), (function-axioms) are
% 182.03/28.16  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 182.03/28.16  | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | |   (14575)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 182.03/28.16  | | | | | | | | | | | | | | | |            $i(all_57_19)
% 182.03/28.16  | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | ALPHA: (14575) implies:
% 182.03/28.16  | | | | | | | | | | | | | | | |   (14576)   ~ (all_57_19 = e2)
% 182.03/28.16  | | | | | | | | | | | | | | | |   (14577)  op(e2, e3) = all_57_19
% 182.03/28.16  | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | |   (14578)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 182.03/28.16  | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 182.03/28.16  | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (13465), (14566), (14567), (14578),
% 182.03/28.16  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.16  | | | | | | | | | | | | | | | | |            #89.
% 182.03/28.16  | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | |   (14579)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 182.03/28.16  | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 182.03/28.16  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & $i(all_57_25))
% 182.03/28.16  | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | BETA: splitting (14579) gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | |   (14580)  all_57_30 = e3 & op(e1, e1) = e3
% 182.03/28.16  | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | ALPHA: (14580) implies:
% 182.03/28.16  | | | | | | | | | | | | | | | | | |   (14581)  op(e1, e1) = e3
% 182.03/28.16  | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (13470), (14581), (function-axioms) are
% 182.03/28.16  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 182.03/28.16  | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | |   (14582)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 182.03/28.16  | | | | | | | | | | | | | | | | | |              (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 182.03/28.16  | | | | | | | | | | | | | | | | | |              $i(all_57_25))
% 182.03/28.16  | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | BETA: splitting (14582) gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | |   (14583)  all_57_31 = e3 & op(e0, e0) = e3
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | ALPHA: (14583) implies:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | |   (14584)  op(e0, e0) = e3
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13464), (14584), (function-axioms) are
% 182.03/28.16  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | |   (14585)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 182.03/28.16  | | | | | | | | | | | | | | | | | | |            $i(all_57_25)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | ALPHA: (14585) implies:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | |   (14586)   ~ (all_57_25 = e0)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | |   (14587)  op(e0, e3) = all_57_25
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | |   (14588)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (13465), (14566), (14567), (14588),
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | |            #89.
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | |   (14589)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_22 & $i(all_57_22))
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | BETA: splitting (14589) gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | |   (14590)  all_57_30 = e3 & op(e1, e1) = e3
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | ALPHA: (14590) implies:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | |   (14591)  op(e1, e1) = e3
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (13470), (14591), (function-axioms) are
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | |   (14592)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | |              (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22))
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14592) gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |   (14593)  all_57_31 = e3 & op(e0, e0) = e3
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14593) implies:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |   (14594)  op(e0, e0) = e3
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13464), (14594), (function-axioms) are
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |   (14595)   ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14595) implies:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |   (14596)   ~ (all_57_22 = e1)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |   (14597)  op(e1, e3) = all_57_22
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |              all_57_25, e3, e0, simplifying with (159), (14587)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |   (14598)  all_57_25 = all_52_3
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |              all_57_22, e3, e1, simplifying with (163), (14597)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |   (14599)  all_57_22 = all_52_2
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |              all_57_19, e3, e2, simplifying with (167), (14577)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |   (14600)  all_57_19 = all_52_1
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |              all_57_28, e3, e3, simplifying with (14557),
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |              (14567) gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |   (14601)  all_57_28 = e1
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14586), (14598) imply:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |   (14602)   ~ (all_52_3 = e0)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14566), (14601) imply:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | |   (14603)   ~ (e3 = e1)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | |   (14604)   ~ (all_26_2 = e0)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (318), (14604) imply:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | |   (14605)   ~ (all_14_2 = e0)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | |   (14606)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (13467), (14606),
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | |            #1622.
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | |   (14607)  (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31 & $i(all_57_31))
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14607) gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (14608)  all_57_30 = e0 & op(e1, e1) = e0
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (13468), (13470), (14605),
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | |            (14608), (function-axioms) are inconsistent by
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1616.
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (14609)  op(e0, e0) = all_57_31 & $i(all_57_31)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14609) implies:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (14610)  op(e0, e0) = all_57_31
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14611)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (13467), (14611),
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1622.
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14612)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & $i(all_57_18))
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14612) gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14613)  all_57_30 = e0 & op(e1, e1) = e0
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (13468), (13470), (14605),
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14613), (function-axioms) are inconsistent by
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1616.
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14614)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_18))
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14614) gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14615)  all_57_31 = e0 & op(e0, e0) = e0
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14615) implies:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14616)  op(e0, e0) = e0
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (14616), (function-axioms) are
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14617)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_18)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14617) implies:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14618)   ~ (all_57_18 = e3)
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14619)  op(e3, e0) = all_57_18
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.16  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14620)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (13467), (14620),
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1622.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14621)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_21 & $i(all_57_21))
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14621) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14622)  all_57_30 = e0 & op(e1, e1) = e0
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (13468), (13470), (14605),
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14622), (function-axioms) are inconsistent by
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1616.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14623)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_21))
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14623) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14624)  all_57_31 = e0 & op(e0, e0) = e0
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14624) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14625)  op(e0, e0) = e0
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (14625), (function-axioms) are
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14626)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_21)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14626) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14627)   ~ (all_57_21 = e2)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14628)  op(e2, e0) = all_57_21
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14629)  all_54_10 = e3
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (13470), (14629) are inconsistent by
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1621.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14630)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14630) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14631)  all_54_10 = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (13468), (14631) are inconsistent by
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1620.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14632)   ~ (all_54_10 = e2)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14633)  all_54_10 = e1 | all_54_10 = e0
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14633) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14634)  all_54_10 = e1
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (14634) imply:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14635)  all_14_2 = e1
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14635) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14636)  all_14_2 = e1
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (377), (14636) imply:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14637)   ~ (all_52_9 = e1)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13468), (14636) imply:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14638)   ~ (e2 = e1)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (14636) imply:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14639)  op(e1, e1) = e1
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14640)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14640) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14641)  all_56_2 = e1 & op(e2, e3) = e1
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (14555), (14641), (function-axioms) are
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1352.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14642)  all_56_3 = e1 & op(e2, e2) = e1
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14642) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14643)  op(e2, e2) = e1
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14644)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (14643), (14644),
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1301.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14645)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_24 & $i(all_57_24))
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14645) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14646)  all_57_30 = e0 & op(e1, e1) = e0
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14646) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14647)  op(e1, e1) = e0
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14639), (14647), (function-axioms) are
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14648)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24))
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14648) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14649)  all_57_31 = e0 & op(e0, e0) = e0
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14649) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14650)  op(e0, e0) = e0
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (14650), (function-axioms) are
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14651)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14651) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14652)   ~ (all_57_24 = e1)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14653)  op(e1, e0) = all_57_24
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31, e0, e0, simplifying with (13464),
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (14610) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14654)  all_57_31 = e1
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24, e0, e1, simplifying with (160), (14653)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14655)  all_57_24 = all_52_14
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21, e0, e2, simplifying with (164), (14628)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14656)  all_57_21 = all_52_13
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e1,
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e2, simplifying with (45), (14643) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14657)  all_10_2 = e1
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_18, e0, e3, simplifying with (168), (14619)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14658)  all_57_18 = all_52_12
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14618), (14658) imply:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14659)   ~ (all_52_12 = e3)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14627), (14656) imply:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14660)   ~ (all_52_13 = e2)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14661)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14661) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14662)  all_56_2 = e2 & op(e2, e3) = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14662) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14663)  op(e2, e3) = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14576), (14577), (14663), (function-axioms) are
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #180.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14664)  all_56_3 = e2 & op(e2, e2) = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14664) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14665)  op(e2, e2) = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14643), (14665), (function-axioms) are
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14666)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14666) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14667)  all_56_5 = e2 & op(e2, e1) = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14667) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14668)  op(e2, e1) = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14669)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14557), (14643), (14669), (function-axioms)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #780.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14670)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_29 & $i(all_57_29))
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14670) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14671)  all_57_30 = e2 & op(e1, e1) = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14671) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14672)  op(e1, e1) = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14639), (14672), (function-axioms) are
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14673)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29))
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14673) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14674)  all_57_31 = e2 & op(e0, e0) = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14674) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14675)  op(e0, e0) = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13464), (14675), (function-axioms) are
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14676)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14676) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14677)   ~ (all_57_29 = e2)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14678)  op(e2, e2) = all_57_29
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14679)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14557), (14677), (14678), (14679),
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #779.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14680)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_26 & $i(all_57_26))
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14680) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14681)  all_57_30 = e2 & op(e1, e1) = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14681) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14682)  op(e1, e1) = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14639), (14682), (function-axioms) are
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14683)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26))
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14683) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14684)  all_57_31 = e2 & op(e0, e0) = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14684) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14685)  op(e0, e0) = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13464), (14685), (function-axioms) are
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14686)   ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_26)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14686) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14687)   ~ (all_57_26 = e0)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14688)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14557), (14677), (14678), (14688),
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #779.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14689)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_16 & $i(all_57_16))
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14689) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14690)  all_57_30 = e2 & op(e1, e1) = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14690) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14691)  op(e1, e1) = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14639), (14691), (function-axioms) are
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14692)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16))
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14692) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14693)  all_57_31 = e2 & op(e0, e0) = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14693) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14694)  op(e0, e0) = e2
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13464), (14694), (function-axioms) are
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14695)   ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14695) implies:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14696)   ~ (all_57_16 = e3)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14697)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14697) gives:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.17  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14698)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14698) gives:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14699)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14699) implies:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14700)  all_57_16 = e3
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14696), (14700) imply:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14701)  $false
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14701) is inconsistent.
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14702)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14702) implies:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14703)   ~ (all_57_28 = e1)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14557), (14567), (14703), (function-axioms) are
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1030.
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14704)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14704) gives:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14705)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14705) implies:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14706)  op(e3, e0) = e3
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (14659), (14706), (function-axioms) are
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14707)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14707) implies:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14708)  op(e2, e3) = e2
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14576), (14577), (14708), (function-axioms) are
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #180.
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14709)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14709) gives:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14710)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14710) gives:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14711)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14643), (14711), (function-axioms) are
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1028.
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14712)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_20) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14712) implies:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14713)  op(e2, e0) = e2
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (14660), (14713), (function-axioms) are
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1562.
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14714)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14714) gives:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.18  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14715)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14715) implies:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14716)  op(e3, e1) = e1
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (14556), (14716), (function-axioms) are
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14717)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14717) gives:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14718)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14718) implies:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14719)  op(e2, e1) = e1
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14668), (14719), (function-axioms) are
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1148.
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14720)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14720) implies:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14721)  op(e0, e1) = all_57_27
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14722)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14722) gives:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14723)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14723) implies:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14724)  op(e1, e0) = e1
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14652), (14653), (14724), (function-axioms) are
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1423.
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14725)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14725) implies:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14726)   ~ (all_57_15 = e0)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14727)  op(e0, all_57_31) = all_57_15
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14728)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14654), (14727) imply:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14729)  op(e0, e1) = all_57_15
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14728) gives:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14730)  all_57_31 = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (14722), (14730),
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1583.
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14731)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14731) gives:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14732)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14732) implies:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14733)  all_57_25 = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14598), (14733) imply:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14734)  all_52_3 = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14734) implies:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14735)  all_52_3 = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14602), (14735) imply:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14736)  $false
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14736) is inconsistent.
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14737)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14737) gives:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14738)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14738) implies:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14739)  all_57_26 = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14687), (14739) imply:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14740)  $false
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14740) is inconsistent.
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14741)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14741) implies:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14742)  all_57_27 = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14721), (14742) imply:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14743)  op(e0, e1) = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_15, e1, e0, simplifying with (14729),
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (14743) gives:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14744)  all_57_15 = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14726), (14744) imply:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14745)  $false
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14745) is inconsistent.
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14746)  all_56_10 = e2 & op(e2, e0) = e2
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14746) implies:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14747)  op(e2, e0) = e2
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (14660), (14747), (function-axioms) are
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1562.
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14748)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (13453), (14637), (14748),
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #268.
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14749)  all_54_10 = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (14605), (14749) are inconsistent by
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1618.
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | |   (14750)  all_26_2 = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (14750) imply:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | |   (14751)  all_14_2 = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14751) implies:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | |   (14752)  all_14_2 = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (14752) imply:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | |   (14753)   ~ (all_52_2 = e0)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (377), (14752) imply:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | |   (14754)   ~ (all_52_9 = e0)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (14752) imply:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | |   (14755)   ~ (all_52_14 = e0)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13470), (14752) imply:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | |   (14756)   ~ (e3 = e0)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13468), (14752) imply:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | |   (14757)   ~ (e2 = e0)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (14752) imply:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | |   (14758)  op(e1, e1) = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | |   (14759)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14759) gives:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (14760)  all_56_6 = e1 & op(e1, e3) = e1
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14760) implies:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (14761)  op(e1, e3) = e1
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14596), (14597), (14761), (function-axioms) are
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #91.
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (14762)  all_56_7 = e1 & op(e1, e2) = e1
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14762) implies:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (14763)  op(e1, e2) = e1
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14764)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14764) gives:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14765)  all_56_0 = e0 & op(e3, e3) = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14765) implies:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14766)  op(e3, e3) = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (14766), (function-axioms) are
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14767)  all_56_2 = e0 & op(e2, e3) = e0
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14767) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14768)  op(e2, e3) = e0
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14769)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14769) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14770)  all_56_4 = e1 & op(e3, e1) = e1
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14770) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14771)  op(e3, e1) = e1
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (14556), (14771), (function-axioms) are
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14772)  all_56_5 = e1 & op(e2, e1) = e1
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14772) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14773)  all_56_5 = e1
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14774)  op(e2, e1) = e1
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14553) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14775)   ~ (all_18_0 = e0) & op(e1, e1) = all_18_0 &
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_18_0)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14775) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14776)   ~ (all_18_0 = e0)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14777)  op(e1, e1) = all_18_0
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14758), (14776), (14777), (function-axioms) are
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1042.
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14778)   ~ (all_18_1 = e2) & op(e1, e3) = all_18_1 &
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_18_1)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14778) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14779)  op(e1, e3) = all_18_1
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14780)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14780) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14781)  all_56_2 = e3 & op(e2, e3) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14781) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14782)  op(e2, e3) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14768), (14782), (function-axioms) are
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1596.
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14783)  all_56_3 = e3 & op(e2, e2) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14783) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14784)  op(e2, e2) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (13465), (14784), (function-axioms) are
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #183.
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14785)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14785) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14786)  all_56_5 = e3 & op(e2, e1) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14786) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14787)  op(e2, e1) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14774), (14787), (function-axioms) are
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14788)  all_56_10 = e3 & op(e2, e0) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14788) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14789)  all_56_10 = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14790)  op(e2, e0) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14791)  all_56_15 = e0 & op(e0, e0) = e0
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14791) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14792)  op(e0, e0) = e0
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (14792), (function-axioms) are
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14793)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14793) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14794)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14795)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14794) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14796)  all_56_12 = e0 & op(e0, e3) = e0
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14796) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14797)  op(e0, e3) = e0
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14586), (14587), (14797), (function-axioms) are
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #188.
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14798)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14798) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14799)  all_56_13 = e0 & op(e0, e2) = e0
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14799) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14800)  all_56_13 = e0
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14801)  op(e0, e2) = e0
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14802)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14802) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14803)  all_56_2 = e2 & op(e2, e3) = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14803) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14804)  op(e2, e3) = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14768), (14804), (function-axioms) are
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1412.
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14805)  all_56_3 = e2 & op(e2, e2) = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14805) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14806)  op(e2, e2) = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14807)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14807) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14808)  all_56_1 = e3 & op(e3, e2) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14808) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14809)  all_56_1 = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14810)  op(e3, e2) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14795) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14811)  all_56_9 = e0 & op(e3, e0) = e0
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14811) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14812)  all_56_9 = e0
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14813)  op(e3, e0) = e0
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14814)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14814) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14815)  all_56_0 = e2 & op(e3, e3) = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14815) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14816)  op(e3, e3) = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14557), (14816), (function-axioms) are
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14817)  all_56_1 = e2 & op(e3, e2) = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14817) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14818)  op(e3, e2) = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14810), (14818), (function-axioms) are
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #166.
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14819)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14819) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14820)  all_56_4 = e2 & op(e3, e1) = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14820) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14821)  all_56_4 = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14822)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14822) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14823)  all_56_9 = e2 & op(e3, e0) = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14812), (14823) are inconsistent by
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #973.
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14824)  all_56_10 = e2 & op(e2, e0) = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14824) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14825)  all_56_10 = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14789), (14825) are inconsistent by
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #958.
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14826)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14826) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14827)  all_56_11 = e2 & op(e1, e0) = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14827) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14828)  all_56_11 = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14829)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (14774), (14821), (14829),
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #88.
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14830)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14830) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14831)  all_56_8 = e3 & op(e1, e1) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14831) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14832)  op(e1, e1) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14758), (14832), (function-axioms) are
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14833)  all_56_14 = e3 & op(e0, e1) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14833) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14834)  all_56_14 = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14835)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14835) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14836)  all_56_12 = e2 & op(e0, e3) = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14836) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14837)  all_56_12 = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14838)  op(e0, e3) = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14839)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e3)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14839) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14840)  all_56_6 = e3 & op(e1, e3) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14840) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14841)  all_56_6 = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14842)  op(e1, e3) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14843)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14843) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14844)  all_56_0 = e3 & op(e3, e3) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14844) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14845)  op(e3, e3) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (229), (231),
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (233), (386), (14837), (14841), (14842), (14845),
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1220.
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14846)  all_56_2 = e3 & op(e2, e3) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14846) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14847)  op(e2, e3) = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (36), (163), (229), (386), (14753),
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14837), (14847), (function-axioms) are
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #246.
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14848)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14848) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14827) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14849)  op(e1, e0) = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (14801) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14850)  all_52_7 = e0
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (14838) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14851)  all_52_3 = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e1, simplifying with (160), (14849) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14852)  all_52_14 = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (14842) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14853)  all_52_2 = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_18_1, e3, e1, simplifying with (163), (14779)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14854)  all_52_2 = all_18_1
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, e2, simplifying with (164), (14790) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14855)  all_52_13 = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (14774) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14856)  all_52_9 = e1
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e2,
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e2, simplifying with (45), (14806) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14857)  all_10_2 = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (14768) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14858)  all_52_1 = e0
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e0, e3, simplifying with (168), (14813) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14859)  all_52_12 = e0
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14853), (14854) imply:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14860)  all_18_1 = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14860) implies:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14861)  all_18_1 = e3
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14598), (14851) imply:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14862)  all_57_25 = e2
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14600), (14858) imply:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14863)  all_57_19 = e0
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13452), (14859) imply:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14864)   ~ (e1 = e0)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13465), (14857) imply:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14865)   ~ (e3 = e2)
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14866)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14866) gives:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14867)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14867) gives:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14868)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14868) implies:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14869)  op(e2, e3) = e3
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (36), (163), (229), (386), (14753),
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14837), (14869), (function-axioms) are
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #246.
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14870)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14870) implies:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14871)   ~ (all_57_28 = e1)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14557), (14567), (14871), (function-axioms) are
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1030.
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14872)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14872) gives:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14873)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14873) implies:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14874)  op(e0, e3) = e3
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14838), (14874), (function-axioms) are
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1039.
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14875)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14875) implies:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14876)  op(e2, e3) = e2
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (221), (14773), (14789), (14806),
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14876), (function-axioms) are inconsistent by
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #881.
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14877)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14877) gives:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14878)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14878) gives:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14879)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14879) implies:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14880)  op(e2, e1) = e2
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14774), (14880), (function-axioms) are
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1148.
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14881)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_20) =
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14881) implies:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14882)  op(e0, e2) = e2
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14883)  op(e2, e0) = e2
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14884)  op(e2, all_57_19) = all_57_4
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14863), (14884) imply:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14885)  op(e2, e0) = all_57_4
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e2,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (14801), (14882) gives:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14886)  e2 = e0
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_57_4,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e2, simplifying with (14790), (14885) gives:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14887)  all_57_4 = e3
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_57_4,
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e2, simplifying with (14883), (14885) gives:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14888)  all_57_4 = e2
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14887), (14888) imply:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14889)  e3 = e2
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14889) implies:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14890)  e3 = e2
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14886), (14890) imply:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14891)  e3 = e0
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14809), (14891) imply:
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14892)  all_56_1 = e0
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (14557), (14813), (14821),
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14892), (function-axioms) are inconsistent by
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1049.
% 182.03/28.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14893)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14893) gives:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14894)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14894) implies:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14895)  op(e3, e1) = e1
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (14556), (14895), (function-axioms) are
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14896)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14896) gives:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14897)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14897) implies:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14898)   ~ (all_57_8 = e3)
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14899)  op(e1, all_57_22) = all_57_8
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14597), (14842), (14898), (14899),
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1026.
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14900)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14900) implies:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14901)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14901) gives:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14902)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14902) implies:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14903)  op(e1, e0) = e1
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (14903), (function-axioms) are
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1609.
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14904)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14904) implies:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14905)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14905) gives:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14906)  all_57_31 = e0
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (14901), (14906),
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1583.
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14907)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14907) gives:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14908)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14862), (14908) are inconsistent by
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #649.
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14909)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14909) gives:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14910)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14910) implies:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14911)  op(e2, e0) = e0
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e0, e0,
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (14790), (14911) gives:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14912)  e3 = e0
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14809), (14912) imply:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14913)  all_56_1 = e0
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (14557), (14813), (14821),
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14913), (function-axioms) are inconsistent by
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1049.
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14914)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14914) implies:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14915)  op(e1, e0) = e0
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (14755), (14915), (function-axioms) are
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1318.
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14916)  all_56_12 = e3 & op(e0, e3) = e3
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14916) implies:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14917)  op(e0, e3) = e3
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14838), (14917), (function-axioms) are
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1039.
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14918)  all_56_7 = e3 & op(e1, e2) = e3
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14918) implies:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14919)  op(e1, e2) = e3
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14763), (14919), (function-axioms) are
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1263.
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14920)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e1, e0) = e3)
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14920) gives:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14921)  all_56_8 = e3 & op(e1, e1) = e3
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14921) implies:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14922)  op(e1, e1) = e3
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (219), (14754), (14834), (14922),
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #333.
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14923)  all_56_11 = e3 & op(e1, e0) = e3
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14828), (14923) are inconsistent by
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1494.
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14924)  all_56_13 = e2 & op(e0, e2) = e2
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14924) implies:
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14925)  all_56_13 = e2
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14800), (14925) are inconsistent by
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1014.
% 182.03/28.22  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14926)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14926) gives:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14927)  all_56_14 = e2 & op(e0, e1) = e2
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14834), (14927) are inconsistent by
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1366.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14928)  all_56_15 = e2 & op(e0, e0) = e2
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14928) implies:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14929)  op(e0, e0) = e2
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13464), (14929), (function-axioms) are
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14930)  all_56_15 = e2 & op(e0, e0) = e2
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14930) implies:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14931)  op(e0, e0) = e2
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13464), (14931), (function-axioms) are
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14932)  all_56_9 = e2 & op(e3, e0) = e2
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14812), (14932) are inconsistent by
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #973.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14933)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (14755), (14789), (14933),
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #87.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14934)  all_56_3 = e3 & op(e2, e2) = e3
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14934) implies:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14935)  op(e2, e2) = e3
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14806), (14935), (function-axioms) are
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14936)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14936) gives:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14937)  all_56_7 = e3 & op(e1, e2) = e3
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14937) implies:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14938)  op(e1, e2) = e3
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14763), (14938), (function-axioms) are
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1263.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14939)  all_56_13 = e3 & op(e0, e2) = e3
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14939) implies:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14940)  all_56_13 = e3
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14800), (14940) imply:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14941)  e3 = e0
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (14941) imply:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14942)  $false
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14942) is inconsistent.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14943)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (14774), (14789), (14943),
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #514.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14944)  all_56_14 = e0 & op(e0, e1) = e0
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14944) implies:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14945)  all_56_14 = e0
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14946)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14946) gives:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14947)  all_56_4 = e2 & op(e3, e1) = e2
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14947) implies:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14948)  all_56_4 = e2
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14795) gives:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14949)  all_56_9 = e0 & op(e3, e0) = e0
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14949) implies:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14950)  op(e3, e0) = e0
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14951)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14951) gives:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14952)  all_56_0 = e3 & op(e3, e3) = e3
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14952) implies:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14953)  op(e3, e3) = e3
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14566), (14567), (14953), (function-axioms) are
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1539.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14954)  all_56_1 = e3 & op(e3, e2) = e3
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14954) implies:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14955)  all_56_1 = e3
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14956)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (14774), (14948), (14956),
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #88.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14957)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14957) gives:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14958)  all_56_8 = e3 & op(e1, e1) = e3
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14958) implies:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14959)  op(e1, e1) = e3
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14758), (14959), (function-axioms) are
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14960)  all_56_14 = e3 & op(e0, e1) = e3
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14960) implies:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14961)  all_56_14 = e3
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14945), (14961) imply:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14962)  e3 = e0
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14955), (14962) imply:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14963)  all_56_1 = e0
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (14557), (14948), (14950),
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (14963), (function-axioms) are inconsistent by
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1049.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14964)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (14948), (14950), (14964),
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1188.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14965)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (14755), (14789), (14965),
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #87.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14966)  all_56_5 = e2 & op(e2, e1) = e2
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14966) implies:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14967)  op(e2, e1) = e2
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14774), (14967), (function-axioms) are
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1148.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14968)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14968) gives:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14969)  all_56_8 = e2 & op(e1, e1) = e2
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14969) implies:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14970)  op(e1, e1) = e2
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14758), (14970), (function-axioms) are
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14971)  all_56_14 = e2 & op(e0, e1) = e2
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14945), (14971) are inconsistent by
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1472.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14972)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (13451), (14758), (14972),
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #100.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | |   (14973)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14973) gives:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14974)  all_56_6 = e0 & op(e1, e3) = e0
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (14753), (14974), (function-axioms) are
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1197.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14975)  all_56_12 = e0 & op(e0, e3) = e0
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14975) implies:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (14976)  op(e0, e3) = e0
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14586), (14587), (14976), (function-axioms) are
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #188.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | |   (14977)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (13454), (14758), (14977),
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | |            #101.
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | | 
% 182.03/28.23  | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | 
% 182.03/28.23  | | | | | | | | |   (14978)  all_16_2 = e3
% 182.03/28.23  | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | COMBINE_EQS: (338), (14978) imply:
% 182.03/28.23  | | | | | | | | |   (14979)  all_14_2 = e3
% 182.03/28.23  | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | SIMP: (14979) implies:
% 182.03/28.23  | | | | | | | | |   (14980)  all_14_2 = e3
% 182.03/28.23  | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | REDUCE: (363), (14980) imply:
% 182.03/28.23  | | | | | | | | |   (14981)   ~ (all_52_2 = e3)
% 182.03/28.23  | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | REDUCE: (376), (14980) imply:
% 182.03/28.23  | | | | | | | | |   (14982)   ~ (all_52_8 = e3)
% 182.03/28.23  | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | REDUCE: (381), (14980) imply:
% 182.03/28.23  | | | | | | | | |   (14983)   ~ (all_52_14 = e3)
% 182.03/28.23  | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | REDUCE: (51), (14980) imply:
% 182.03/28.23  | | | | | | | | |   (14984)  op(e1, e1) = e3
% 182.03/28.23  | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | REF_CLOSE: (4), (7), (36), (45), (110), (112), (113), (133),
% 182.03/28.23  | | | | | | | | |            (141), (143), (145), (146), (149), (160), (162),
% 182.03/28.23  | | | | | | | | |            (164), (165), (167), (168), (169), (170), (193),
% 182.03/28.23  | | | | | | | | |            (196), (197), (200), (201), (238), (239), (240),
% 182.03/28.23  | | | | | | | | |            (241), (254), (265), (274), (275), (284), (285),
% 182.03/28.23  | | | | | | | | |            (386), (13447), (13452), (13453), (13454), (13464),
% 182.03/28.23  | | | | | | | | |            (13467), (14981), (14982), (14983), (14984),
% 182.03/28.23  | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.23  | | | | | | | | |            #114.
% 182.03/28.23  | | | | | | | | | 
% 182.03/28.23  | | | | | | | | End of split
% 182.03/28.23  | | | | | | | | 
% 182.03/28.23  | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | 
% 182.03/28.23  | | | | | | | |   (14985)  all_14_2 = e2
% 182.03/28.23  | | | | | | | | 
% 182.03/28.23  | | | | | | | | REDUCE: (377), (14985) imply:
% 182.03/28.23  | | | | | | | |   (14986)   ~ (all_52_9 = e2)
% 182.03/28.23  | | | | | | | | 
% 182.03/28.23  | | | | | | | | REDUCE: (381), (14985) imply:
% 182.03/28.23  | | | | | | | |   (14987)   ~ (all_52_14 = e2)
% 182.03/28.23  | | | | | | | | 
% 182.03/28.23  | | | | | | | | REDUCE: (51), (14985) imply:
% 182.03/28.23  | | | | | | | |   (14988)  op(e1, e1) = e2
% 182.03/28.23  | | | | | | | | 
% 182.03/28.23  | | | | | | | | BETA: splitting (85) gives:
% 182.03/28.23  | | | | | | | | 
% 182.03/28.23  | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | 
% 182.03/28.23  | | | | | | | | |   (14989)   ~ (all_36_2 = e1)
% 182.03/28.23  | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | REDUCE: (13448), (14989) imply:
% 182.03/28.23  | | | | | | | | |   (14990)  $false
% 182.03/28.23  | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | CLOSE: (14990) is inconsistent.
% 182.03/28.23  | | | | | | | | | 
% 182.03/28.23  | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | 
% 182.03/28.23  | | | | | | | | |   (14991)  ( ~ (all_36_0 = e2) & op(e1, e1) = all_36_0 &
% 182.03/28.23  | | | | | | | | |              $i(all_36_0)) | ( ~ (all_36_1 = e3) & op(e1, e0)
% 182.03/28.23  | | | | | | | | |              = all_36_1 & $i(all_36_1))
% 182.03/28.23  | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | BETA: splitting (14991) gives:
% 182.03/28.23  | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | |   (14992)   ~ (all_36_0 = e2) & op(e1, e1) = all_36_0 &
% 182.03/28.23  | | | | | | | | | |            $i(all_36_0)
% 182.03/28.23  | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | ALPHA: (14992) implies:
% 182.03/28.23  | | | | | | | | | |   (14993)   ~ (all_36_0 = e2)
% 182.03/28.23  | | | | | | | | | |   (14994)  op(e1, e1) = all_36_0
% 182.03/28.23  | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | REF_CLOSE: (14988), (14993), (14994), (function-axioms) are
% 182.03/28.23  | | | | | | | | | |            inconsistent by sub-proof #92.
% 182.03/28.23  | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | |   (14995)   ~ (all_36_1 = e3) & op(e1, e0) = all_36_1 &
% 182.03/28.23  | | | | | | | | | |            $i(all_36_1)
% 182.03/28.23  | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | ALPHA: (14995) implies:
% 182.03/28.23  | | | | | | | | | |   (14996)   ~ (all_36_1 = e3)
% 182.03/28.23  | | | | | | | | | |   (14997)  op(e1, e0) = all_36_1
% 182.03/28.23  | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | BETA: splitting (238) gives:
% 182.03/28.23  | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | |   (14998)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 182.03/28.23  | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 182.03/28.23  | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (13467), (14998),
% 182.03/28.23  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.23  | | | | | | | | | | |            #1622.
% 182.03/28.23  | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | |   (14999)  (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 182.03/28.23  | | | | | | | | | | |              all_57_31 & $i(all_57_31))
% 182.03/28.23  | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | BETA: splitting (14999) gives:
% 182.03/28.23  | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | |   (15000)  all_57_30 = e0 & op(e1, e1) = e0
% 182.03/28.23  | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | ALPHA: (15000) implies:
% 182.03/28.23  | | | | | | | | | | | |   (15001)  op(e1, e1) = e0
% 182.03/28.23  | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | REF_CLOSE: (5), (14988), (15001), (function-axioms) are
% 182.03/28.23  | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 182.03/28.23  | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | |   (15002)  op(e0, e0) = all_57_31 & $i(all_57_31)
% 182.03/28.23  | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | ALPHA: (15002) implies:
% 182.03/28.23  | | | | | | | | | | | |   (15003)  op(e0, e0) = all_57_31
% 182.03/28.23  | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | BETA: splitting (241) gives:
% 182.03/28.23  | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | |   (15004)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 182.03/28.23  | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 182.03/28.23  | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (13467), (15004),
% 182.03/28.23  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.23  | | | | | | | | | | | | |            #1622.
% 182.03/28.23  | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | |   (15005)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 182.03/28.23  | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 182.03/28.23  | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & $i(all_57_18))
% 182.03/28.23  | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | BETA: splitting (15005) gives:
% 182.03/28.23  | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | |   (15006)  all_57_30 = e0 & op(e1, e1) = e0
% 182.03/28.23  | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | ALPHA: (15006) implies:
% 182.03/28.23  | | | | | | | | | | | | | |   (15007)  op(e1, e1) = e0
% 182.03/28.23  | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | REF_CLOSE: (5), (14988), (15007), (function-axioms) are
% 182.03/28.23  | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 182.03/28.23  | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | |   (15008)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 182.03/28.23  | | | | | | | | | | | | | |              (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 182.03/28.23  | | | | | | | | | | | | | |              $i(all_57_18))
% 182.03/28.23  | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | BETA: splitting (15008) gives:
% 182.03/28.23  | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | |   (15009)  all_57_31 = e0 & op(e0, e0) = e0
% 182.03/28.23  | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | ALPHA: (15009) implies:
% 182.03/28.23  | | | | | | | | | | | | | | |   (15010)  op(e0, e0) = e0
% 182.03/28.23  | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (15010), (function-axioms) are
% 182.03/28.23  | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 182.03/28.23  | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | |   (15011)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 182.03/28.23  | | | | | | | | | | | | | | |            $i(all_57_18)
% 182.03/28.23  | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | ALPHA: (15011) implies:
% 182.03/28.23  | | | | | | | | | | | | | | |   (15012)   ~ (all_57_18 = e3)
% 182.03/28.23  | | | | | | | | | | | | | | |   (15013)  op(e3, e0) = all_57_18
% 182.03/28.23  | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 182.03/28.23  | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | Case 1:
% 182.03/28.23  | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | |   (15014)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 182.03/28.23  | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 182.03/28.23  | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (13467), (15014),
% 182.03/28.23  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.23  | | | | | | | | | | | | | | | |            #1622.
% 182.03/28.23  | | | | | | | | | | | | | | | | 
% 182.03/28.23  | | | | | | | | | | | | | | | Case 2:
% 182.03/28.23  | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | |   (15015)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 182.03/28.24  | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 182.03/28.24  | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_21 & $i(all_57_21))
% 182.03/28.24  | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | BETA: splitting (15015) gives:
% 182.03/28.24  | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | |   (15016)  all_57_30 = e0 & op(e1, e1) = e0
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | ALPHA: (15016) implies:
% 182.03/28.24  | | | | | | | | | | | | | | | | |   (15017)  op(e1, e1) = e0
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14988), (15017), (function-axioms) are
% 182.03/28.24  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | |   (15018)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 182.03/28.24  | | | | | | | | | | | | | | | | |              (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 182.03/28.24  | | | | | | | | | | | | | | | | |              $i(all_57_21))
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | BETA: splitting (15018) gives:
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | |   (15019)  all_57_31 = e0 & op(e0, e0) = e0
% 182.03/28.24  | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | ALPHA: (15019) implies:
% 182.03/28.24  | | | | | | | | | | | | | | | | | |   (15020)  op(e0, e0) = e0
% 182.03/28.24  | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (15020), (function-axioms) are
% 182.03/28.24  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 182.03/28.24  | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | |   (15021)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 182.03/28.24  | | | | | | | | | | | | | | | | | |            $i(all_57_21)
% 182.03/28.24  | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | ALPHA: (15021) implies:
% 182.03/28.24  | | | | | | | | | | | | | | | | | |   (15022)  op(e2, e0) = all_57_21
% 182.03/28.24  | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | |   (15023)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 182.03/28.24  | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (386), (13467), (15023),
% 182.03/28.24  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.24  | | | | | | | | | | | | | | | | | | |            #1622.
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | |   (15024)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 182.03/28.24  | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 182.03/28.24  | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_24 & $i(all_57_24))
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (36), (110), (112), (113), (133), (145),
% 182.03/28.24  | | | | | | | | | | | | | | | | | | |            (160), (164), (165), (167), (168), (169), (170),
% 182.03/28.24  | | | | | | | | | | | | | | | | | | |            (193), (197), (201), (204), (254), (265), (275),
% 182.03/28.24  | | | | | | | | | | | | | | | | | | |            (285), (294), (359), (361), (386), (13452),
% 182.03/28.24  | | | | | | | | | | | | | | | | | | |            (13453), (13454), (13464), (14986), (14987),
% 182.03/28.24  | | | | | | | | | | | | | | | | | | |            (14988), (14996), (14997), (15003), (15012),
% 182.03/28.24  | | | | | | | | | | | | | | | | | | |            (15013), (15022), (15024), (function-axioms) are
% 182.03/28.24  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #83.
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.24  | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | End of split
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | End of split
% 182.03/28.24  | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | End of split
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | End of split
% 182.03/28.24  | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | End of split
% 182.03/28.24  | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | End of split
% 182.03/28.24  | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | End of split
% 182.03/28.24  | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | End of split
% 182.03/28.24  | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | End of split
% 182.03/28.24  | | | | | | | | | 
% 182.03/28.24  | | | | | | | | End of split
% 182.03/28.24  | | | | | | | | 
% 182.03/28.24  | | | | | | | End of split
% 182.03/28.24  | | | | | | | 
% 182.03/28.24  | | | | | | Case 2:
% 182.03/28.24  | | | | | | | 
% 182.03/28.24  | | | | | | |   (15025)  all_12_2 = e0
% 182.03/28.24  | | | | | | | 
% 182.03/28.24  | | | | | | | COMBINE_EQS: (335), (15025) imply:
% 182.03/28.24  | | | | | | |   (15026)  all_10_2 = e0
% 182.03/28.24  | | | | | | | 
% 182.03/28.24  | | | | | | | COMBINE_EQS: (317), (15026) imply:
% 182.03/28.24  | | | | | | |   (15027)  all_34_2 = e0
% 182.03/28.24  | | | | | | | 
% 182.03/28.24  | | | | | | | REDUCE: (362), (15026) imply:
% 182.03/28.24  | | | | | | |   (15028)   ~ (all_52_1 = e0)
% 182.03/28.24  | | | | | | | 
% 182.03/28.24  | | | | | | | REDUCE: (365), (15026) imply:
% 182.03/28.24  | | | | | | |   (15029)   ~ (all_52_4 = e0)
% 182.03/28.24  | | | | | | | 
% 182.03/28.24  | | | | | | | REDUCE: (367), (15026) imply:
% 182.03/28.24  | | | | | | |   (15030)   ~ (all_52_6 = e0)
% 182.03/28.24  | | | | | | | 
% 182.03/28.24  | | | | | | | REDUCE: (369), (15026) imply:
% 182.03/28.24  | | | | | | |   (15031)   ~ (all_52_7 = e0)
% 182.03/28.24  | | | | | | | 
% 182.03/28.24  | | | | | | | REDUCE: (371), (15026) imply:
% 182.03/28.24  | | | | | | |   (15032)   ~ (all_52_9 = e0)
% 182.03/28.24  | | | | | | | 
% 182.03/28.24  | | | | | | | REDUCE: (373), (15026) imply:
% 182.03/28.24  | | | | | | |   (15033)   ~ (all_52_13 = e0)
% 182.03/28.24  | | | | | | | 
% 182.03/28.24  | | | | | | | REDUCE: (13465), (15026) imply:
% 182.03/28.24  | | | | | | |   (15034)   ~ (e3 = e0)
% 182.03/28.24  | | | | | | | 
% 182.03/28.24  | | | | | | | REDUCE: (45), (15026) imply:
% 182.03/28.24  | | | | | | |   (15035)  op(e2, e2) = e0
% 182.03/28.24  | | | | | | | 
% 182.03/28.24  | | | | | | | BETA: splitting (82) gives:
% 182.03/28.24  | | | | | | | 
% 182.03/28.24  | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | 
% 182.03/28.24  | | | | | | | |   (15036)   ~ (all_34_2 = e0)
% 182.03/28.24  | | | | | | | | 
% 182.03/28.24  | | | | | | | | REDUCE: (15027), (15036) imply:
% 182.03/28.24  | | | | | | | |   (15037)  $false
% 182.03/28.24  | | | | | | | | 
% 182.03/28.24  | | | | | | | | CLOSE: (15037) is inconsistent.
% 182.03/28.24  | | | | | | | | 
% 182.03/28.24  | | | | | | | Case 2:
% 182.03/28.24  | | | | | | | | 
% 182.03/28.24  | | | | | | | |   (15038)  ( ~ (all_34_0 = e1) & op(e0, e0) = all_34_0 &
% 182.03/28.24  | | | | | | | |              $i(all_34_0)) | ( ~ (all_34_1 = e3) & op(e0, e2) =
% 182.03/28.24  | | | | | | | |              all_34_1 & $i(all_34_1))
% 182.03/28.24  | | | | | | | | 
% 182.03/28.24  | | | | | | | | BETA: splitting (15038) gives:
% 182.03/28.24  | | | | | | | | 
% 182.03/28.24  | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | 
% 182.03/28.24  | | | | | | | | |   (15039)   ~ (all_34_0 = e1) & op(e0, e0) = all_34_0 &
% 182.03/28.24  | | | | | | | | |            $i(all_34_0)
% 182.03/28.24  | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | REF_CLOSE: (13464), (15039), (function-axioms) are
% 182.03/28.24  | | | | | | | | |            inconsistent by sub-proof #82.
% 182.03/28.24  | | | | | | | | | 
% 182.03/28.24  | | | | | | | | Case 2:
% 182.03/28.24  | | | | | | | | | 
% 182.03/28.24  | | | | | | | | |   (15040)   ~ (all_34_1 = e3) & op(e0, e2) = all_34_1 &
% 182.03/28.24  | | | | | | | | |            $i(all_34_1)
% 182.03/28.24  | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | ALPHA: (15040) implies:
% 182.03/28.24  | | | | | | | | |   (15041)   ~ (all_34_1 = e3)
% 182.03/28.24  | | | | | | | | |   (15042)  op(e0, e2) = all_34_1
% 182.03/28.24  | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 182.03/28.24  | | | | | | | | |              all_34_1, e2, e0, simplifying with (158), (15042)
% 182.03/28.24  | | | | | | | | |              gives:
% 182.03/28.24  | | | | | | | | |   (15043)  all_52_7 = all_34_1
% 182.03/28.24  | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | COMBINE_EQS: (263), (15043) imply:
% 182.03/28.24  | | | | | | | | |   (15044)  all_54_13 = all_34_1
% 182.03/28.24  | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | REDUCE: (140), (15043) imply:
% 182.03/28.24  | | | | | | | | |   (15045)   ~ (all_52_3 = all_34_1)
% 182.03/28.24  | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | REDUCE: (135), (15043) imply:
% 182.03/28.24  | | | | | | | | |   (15046)   ~ (all_52_4 = all_34_1)
% 182.03/28.24  | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | REDUCE: (128), (15043) imply:
% 182.03/28.24  | | | | | | | | |   (15047)   ~ (all_52_6 = all_34_1)
% 182.03/28.24  | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | REDUCE: (125), (15043) imply:
% 182.03/28.24  | | | | | | | | |   (15048)   ~ (all_52_11 = all_34_1)
% 182.03/28.24  | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | SIMP: (15048) implies:
% 182.03/28.24  | | | | | | | | |   (15049)   ~ (all_52_11 = all_34_1)
% 182.03/28.24  | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | REDUCE: (13450), (15043) imply:
% 182.03/28.24  | | | | | | | | |   (15050)   ~ (all_34_1 = e1)
% 182.03/28.24  | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | REDUCE: (15031), (15043) imply:
% 182.03/28.24  | | | | | | | | |   (15051)   ~ (all_34_1 = e0)
% 182.03/28.24  | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | BETA: splitting (191) gives:
% 182.03/28.24  | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | |   (15052)  all_54_13 = e3
% 182.03/28.24  | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | COMBINE_EQS: (15044), (15052) imply:
% 182.03/28.24  | | | | | | | | | |   (15053)  all_34_1 = e3
% 182.03/28.24  | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | REDUCE: (15041), (15053) imply:
% 182.03/28.24  | | | | | | | | | |   (15054)  $false
% 182.03/28.24  | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | CLOSE: (15054) is inconsistent.
% 182.03/28.24  | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | Case 2:
% 182.03/28.24  | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | |   (15055)   ~ (all_54_13 = e3)
% 182.03/28.24  | | | | | | | | | |   (15056)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 182.03/28.24  | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | BETA: splitting (15056) gives:
% 182.03/28.24  | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | |   (15057)  all_54_13 = e2
% 182.03/28.24  | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | COMBINE_EQS: (15044), (15057) imply:
% 182.03/28.24  | | | | | | | | | | |   (15058)  all_34_1 = e2
% 182.03/28.24  | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | REDUCE: (15045), (15058) imply:
% 182.03/28.24  | | | | | | | | | | |   (15059)   ~ (all_52_3 = e2)
% 182.03/28.24  | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | REDUCE: (15046), (15058) imply:
% 182.03/28.24  | | | | | | | | | | |   (15060)   ~ (all_52_4 = e2)
% 182.03/28.24  | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | REDUCE: (15047), (15058) imply:
% 182.03/28.24  | | | | | | | | | | |   (15061)   ~ (all_52_6 = e2)
% 182.03/28.24  | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | REDUCE: (15049), (15058) imply:
% 182.03/28.24  | | | | | | | | | | |   (15062)   ~ (all_52_11 = e2)
% 182.03/28.24  | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | REDUCE: (15041), (15058) imply:
% 182.03/28.24  | | | | | | | | | | |   (15063)   ~ (e3 = e2)
% 182.03/28.24  | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | BETA: splitting (208) gives:
% 182.03/28.24  | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | |   (15064)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 182.03/28.24  | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 182.03/28.24  | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | BETA: splitting (15064) gives:
% 182.03/28.24  | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | |   (15065)  all_56_12 = e2 & op(e0, e3) = e2
% 182.03/28.24  | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | ALPHA: (15065) implies:
% 182.03/28.24  | | | | | | | | | | | | |   (15066)  all_56_12 = e2
% 182.03/28.24  | | | | | | | | | | | | |   (15067)  op(e0, e3) = e2
% 182.03/28.24  | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | BETA: splitting (209) gives:
% 182.03/28.24  | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | |   (15068)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 182.03/28.24  | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 182.03/28.24  | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | BETA: splitting (15068) gives:
% 182.03/28.24  | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | |   (15069)  all_56_12 = e3 & op(e0, e3) = e3
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | ALPHA: (15069) implies:
% 182.03/28.24  | | | | | | | | | | | | | | |   (15070)  op(e0, e3) = e3
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | REF_CLOSE: (9), (15067), (15070), (function-axioms) are
% 182.03/28.24  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1039.
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | Case 2:
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | |   (15071)  all_56_13 = e3 & op(e0, e2) = e3
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | ALPHA: (15071) implies:
% 182.03/28.24  | | | | | | | | | | | | | | |   (15072)  all_56_13 = e3
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (162), (170), (225), (227),
% 182.03/28.24  | | | | | | | | | | | | | | |            (15029), (15030), (15060), (15061), (15072),
% 182.03/28.24  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.24  | | | | | | | | | | | | | | |            #81.
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | End of split
% 182.03/28.24  | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | Case 2:
% 182.03/28.24  | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | |   (15073)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 182.03/28.24  | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 182.03/28.24  | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | BETA: splitting (15073) gives:
% 182.03/28.24  | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | |   (15074)  all_56_14 = e3 & op(e0, e1) = e3
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | ALPHA: (15074) implies:
% 182.03/28.24  | | | | | | | | | | | | | | |   (15075)  all_56_14 = e3
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | |   (15076)  all_56_15 = e0 & op(e0, e0) = e0
% 182.03/28.24  | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13463), (15076) are inconsistent by
% 182.03/28.24  | | | | | | | | | | | | | | | |            sub-proof #1204.
% 182.03/28.24  | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | Case 2:
% 182.03/28.24  | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | |   (15077)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 182.03/28.24  | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 182.03/28.24  | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 182.03/28.24  | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 182.03/28.24  | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 182.03/28.24  | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | ALPHA: (15077) implies:
% 182.03/28.24  | | | | | | | | | | | | | | | |   (15078)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 182.03/28.24  | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 182.03/28.24  | | | | | | | | | | | | | | | |                e1) = e0)
% 182.03/28.24  | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | BETA: splitting (15078) gives:
% 182.03/28.24  | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | |   (15079)  all_56_12 = e0 & op(e0, e3) = e0
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | ALPHA: (15079) implies:
% 182.03/28.24  | | | | | | | | | | | | | | | | |   (15080)  all_56_12 = e0
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15066), (15080) are inconsistent by
% 182.03/28.24  | | | | | | | | | | | | | | | | |            sub-proof #1548.
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | |   (15081)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 182.03/28.24  | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (158), (15031), (15075), (15081),
% 182.03/28.24  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.24  | | | | | | | | | | | | | | | | |            #1440.
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | End of split
% 182.03/28.24  | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | End of split
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | Case 2:
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | |   (15082)  all_56_15 = e3 & op(e0, e0) = e3
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | REF_CLOSE: (8), (13463), (15082) are inconsistent by
% 182.03/28.24  | | | | | | | | | | | | | | |            sub-proof #80.
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | End of split
% 182.03/28.24  | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | End of split
% 182.03/28.24  | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | Case 2:
% 182.03/28.24  | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | |   (15083)  all_56_13 = e2 & op(e0, e2) = e2
% 182.03/28.24  | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | ALPHA: (15083) implies:
% 182.03/28.24  | | | | | | | | | | | | |   (15084)  all_56_13 = e2
% 182.03/28.24  | | | | | | | | | | | | |   (15085)  op(e0, e2) = e2
% 182.03/28.24  | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | BETA: splitting (52) gives:
% 182.03/28.24  | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | |   (15086)   ~ (all_14_2 = e2)
% 182.03/28.24  | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 182.03/28.24  | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | |   (15087)   ~ (all_16_2 = e3)
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | REDUCE: (338), (15087) imply:
% 182.03/28.24  | | | | | | | | | | | | | | |   (15088)   ~ (all_14_2 = e3)
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 182.03/28.24  | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | |   (15089)   ~ (all_18_2 = e1)
% 182.03/28.24  | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | REDUCE: (342), (15089) imply:
% 182.03/28.24  | | | | | | | | | | | | | | | |   (15090)   ~ (all_4_2 = e1)
% 182.03/28.24  | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 182.03/28.24  | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | |   (15091)   ~ (all_26_2 = e0)
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | REDUCE: (318), (15091) imply:
% 182.03/28.24  | | | | | | | | | | | | | | | | |   (15092)   ~ (all_14_2 = e0)
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 182.03/28.24  | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | |   (15093)  all_54_10 = e3
% 182.03/28.24  | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (15088), (15093) are inconsistent by
% 182.03/28.24  | | | | | | | | | | | | | | | | | |            sub-proof #1621.
% 182.03/28.24  | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | |   (15094)   ~ (all_54_10 = e3)
% 182.03/28.24  | | | | | | | | | | | | | | | | | |   (15095)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 182.03/28.24  | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | BETA: splitting (15095) gives:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | |   (15096)  all_54_10 = e2
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (15086), (15096) are inconsistent by
% 182.03/28.24  | | | | | | | | | | | | | | | | | | |            sub-proof #1620.
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | |   (15097)   ~ (all_54_10 = e2)
% 182.03/28.24  | | | | | | | | | | | | | | | | | | |   (15098)  all_54_10 = e1 | all_54_10 = e0
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | BETA: splitting (15098) gives:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | |   (15099)  all_54_10 = e1
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (15099) imply:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | |   (15100)  all_14_2 = e1
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | SIMP: (15100) implies:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | |   (15101)  all_14_2 = e1
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (15101) imply:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | |   (15102)   ~ (all_52_6 = e1)
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (15101) imply:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | |   (15103)   ~ (all_52_8 = e1)
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | REDUCE: (377), (15101) imply:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | |   (15104)   ~ (all_52_9 = e1)
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | REDUCE: (15088), (15101) imply:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | |   (15105)   ~ (e3 = e1)
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | REDUCE: (15086), (15101) imply:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | |   (15106)   ~ (e2 = e1)
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (15101) imply:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | |   (15107)  op(e1, e1) = e1
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | |   (15108)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15108) gives:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | |   (15109)  all_56_0 = e1 & op(e3, e3) = e1
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15109) implies:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | |   (15110)  op(e3, e3) = e1
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (15090), (15110), (function-axioms) are
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1525.
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | |   (15111)  all_56_2 = e1 & op(e2, e3) = e1
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15111) implies:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | |   (15112)  all_56_2 = e1
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | |   (15113)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15113) gives:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | |   (15114)  all_56_0 = e1 & op(e3, e3) = e1
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15114) implies:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | |   (15115)  op(e3, e3) = e1
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (15090), (15115), (function-axioms) are
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1525.
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | |   (15116)  all_56_1 = e1 & op(e3, e2) = e1
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15116) implies:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | |   (15117)  all_56_1 = e1
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | |   (15118)  op(e3, e2) = e1
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (15119)  all_54_9 = e3
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (15119) imply:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (15120)  all_52_6 = e3
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15120) implies:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (15121)  all_52_6 = e3
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (15121) imply:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (15122)   ~ (all_52_2 = e3)
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15123)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15123) gives:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15124)  all_56_1 = e3 & op(e3, e2) = e3
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15124) implies:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15125)  op(e3, e2) = e3
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15118), (15125), (function-axioms) are
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1579.
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15126)  all_56_3 = e3 & op(e2, e2) = e3
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15126) implies:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15127)  op(e2, e2) = e3
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15035), (15127), (function-axioms) are
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15128)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15128) gives:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15129)  all_56_7 = e3 & op(e1, e2) = e3
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15129) implies:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15130)  all_56_7 = e3
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15131)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15131) gives:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15132)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15132) gives:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15133)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15133) implies:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15134)  op(e3, e2) = e3
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15118), (15134), (function-axioms) are
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1579.
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15135)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15135) implies:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15136)  op(e1, e3) = e3
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (15122), (15136), (function-axioms) are
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #855.
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15137)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15137) gives:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15138)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15138) implies:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15139)  all_57_18 = e3
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15140)   ~ (all_57_28 = e0)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15141)  op(e0, e3) = e3
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15142)  op(e3, e0) = e3
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15143)  op(e3, e3) = all_57_28
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15144)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15144) gives:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15145)  all_57_28 = e0 & op(e3, e3) = e0
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15145) implies:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15146)  op(e3, e3) = e0
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (15146), (function-axioms) are
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15147)  all_57_29 = e0 & op(e2, e2) = e0
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (15141) gives:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15148)  all_52_3 = e3
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, e3, simplifying with (168), (15142) gives:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15149)  all_52_12 = e3
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28, e3, e3, simplifying with (36), (15143)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15150)  all_57_28 = all_4_2
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (15149) imply:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15151)   ~ (all_52_13 = e3)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15151) implies:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15152)   ~ (all_52_13 = e3)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15153)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15153) gives:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15154)  all_56_4 = e2 & op(e3, e1) = e2
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15154) implies:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15155)  all_56_4 = e2
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15156)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (15029), (15156),
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1060.
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15157)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (15142), (15155), (15157),
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #79.
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15158)  all_56_5 = e2 & op(e2, e1) = e2
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15158) implies:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15159)  op(e2, e1) = e2
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15160)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15160) gives:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15161)  all_56_2 = e3 & op(e2, e3) = e3
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15161) implies:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15162)  all_56_2 = e3
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15112), (15162) imply:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15163)  e3 = e1
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15163) implies:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15164)  e3 = e1
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15130), (15164) imply:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15165)  all_56_7 = e1
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (228), (15035), (15084), (15117),
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15165), (function-axioms) are inconsistent by
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #78.
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15166)  all_56_3 = e3 & op(e2, e2) = e3
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15166) implies:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15167)  op(e2, e2) = e3
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15035), (15167), (function-axioms) are
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15168)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15168) gives:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15169)  all_56_5 = e3 & op(e2, e1) = e3
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15169) implies:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15170)  op(e2, e1) = e3
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15159), (15170), (function-axioms) are
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1297.
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15171)  all_56_10 = e3 & op(e2, e0) = e3
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (15152), (15171), (function-axioms) are
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #209.
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15172)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (15062), (15107), (15172),
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #219.
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15173)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & $i(all_57_18))
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15173) gives:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15174)  all_57_30 = e0 & op(e1, e1) = e0
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15174) implies:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15175)  op(e1, e1) = e0
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15107), (15175), (function-axioms) are
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15176)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_18))
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15176) gives:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15177)  all_57_31 = e0 & op(e0, e0) = e0
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15177) implies:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15178)  op(e0, e0) = e0
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (15178), (function-axioms) are
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15179)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_18)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15179) implies:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15180)   ~ (all_57_18 = e3)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15139), (15180) imply:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15181)  $false
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15181) is inconsistent.
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15182)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15182) implies:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15183)  op(e3, e2) = e2
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (15060), (15183), (function-axioms) are
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15184)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15184) gives:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15185)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (15035), (15061), (15185),
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #317.
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15186)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15186) gives:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15187)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15187) implies:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15188)  op(e3, e1) = e1
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (15103), (15188), (function-axioms) are
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15189)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15189) gives:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15190)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15190) implies:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15191)  op(e2, e1) = e1
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (15104), (15191), (function-axioms) are
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15192)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15192) implies:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15193)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (15085), (15193),
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #77.
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15194)  all_56_13 = e3 & op(e0, e2) = e3
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15194) implies:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15195)  all_56_13 = e3
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (162), (170), (225), (227),
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15029), (15030), (15060), (15061), (15195),
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #81.
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | |   (15196)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (15030), (15061), (15102), (15196) are
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1319.
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | |   (15197)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15197) gives:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | |   (15198)  all_56_4 = e1 & op(e3, e1) = e1
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15198) implies:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | |   (15199)  all_56_4 = e1
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (219),
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | |            (220), (15032), (15107), (15199),
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | |            #1467.
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | |   (15200)  all_56_9 = e1 & op(e3, e0) = e1
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (13452), (15200), (function-axioms) are
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #121.
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | |   (15201)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15201) gives:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.26  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | |   (15202)  all_56_6 = e1 & op(e1, e3) = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15202) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | |   (15203)  all_56_6 = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | |   (15204)  op(e1, e3) = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (215),
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | |            (216), (15030), (15107), (15203), (15204),
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | |            #161.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | |   (15205)  all_56_12 = e1 & op(e0, e3) = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13449), (15205), (function-axioms) are
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1106.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | |   (15206)  all_54_10 = e0
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (15092), (15206) are inconsistent by
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | |            sub-proof #1618.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.27  | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | End of split
% 182.03/28.27  | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | |   (15207)  all_26_2 = e0
% 182.03/28.27  | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (15207) imply:
% 182.03/28.27  | | | | | | | | | | | | | | | | |   (15208)  all_14_2 = e0
% 182.03/28.27  | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | SIMP: (15208) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | |   (15209)  all_14_2 = e0
% 182.03/28.27  | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (15209) imply:
% 182.03/28.27  | | | | | | | | | | | | | | | | |   (15210)  all_44_2 = e0
% 182.03/28.27  | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | REDUCE: (363), (15209) imply:
% 182.03/28.27  | | | | | | | | | | | | | | | | |   (15211)   ~ (all_52_2 = e0)
% 182.03/28.27  | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | REDUCE: (379), (15209) imply:
% 182.03/28.27  | | | | | | | | | | | | | | | | |   (15212)   ~ (all_52_11 = e0)
% 182.03/28.27  | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | REDUCE: (15086), (15209) imply:
% 182.03/28.27  | | | | | | | | | | | | | | | | |   (15213)   ~ (e2 = e0)
% 182.03/28.27  | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | REDUCE: (51), (15209) imply:
% 182.03/28.27  | | | | | | | | | | | | | | | | |   (15214)  op(e1, e1) = e0
% 182.03/28.27  | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | |   (15215)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 182.03/28.27  | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (15029), (15215),
% 182.03/28.27  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.27  | | | | | | | | | | | | | | | | | |            #1060.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | |   (15216)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 182.03/28.27  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | BETA: splitting (15216) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | |   (15217)  all_56_4 = e0 & op(e3, e1) = e0
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | ALPHA: (15217) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | |   (15218)  all_56_4 = e0
% 182.03/28.27  | | | | | | | | | | | | | | | | | | |   (15219)  op(e3, e1) = e0
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | |   (15220)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15220) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | |   (15221)  all_56_4 = e2 & op(e3, e1) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | ALPHA: (15221) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | |   (15222)  all_56_4 = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15218), (15222) are inconsistent by
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1394.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | |   (15223)  all_56_5 = e2 & op(e2, e1) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | ALPHA: (15223) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | |   (15224)  op(e2, e1) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | |   (15225)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15225) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (15226)  all_56_0 = e1 & op(e3, e3) = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15226) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (15227)  op(e3, e3) = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (15090), (15227), (function-axioms) are
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1525.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (15228)  all_56_1 = e1 & op(e3, e2) = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15228) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (15229)  all_56_1 = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | |   (15230)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15230) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (15231)  all_56_6 = e1 & op(e1, e3) = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15231) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (15232)  all_56_6 = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (15233)  op(e1, e3) = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15234)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (15219), (15224), (15234),
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            #103.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15235)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (162), (213),
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            (215), (216), (13451), (15030), (15232), (15233),
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            (15235), (function-axioms) are inconsistent by
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #102.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (15236)  all_56_7 = e1 & op(e1, e2) = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15236) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (15237)  all_56_7 = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (228), (15035), (15084), (15229),
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | |            (15237), (function-axioms) are inconsistent by
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #78.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | |   (15238)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (13454), (15214), (15238),
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | |            #101.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | |   (15239)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15239) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (15240)  all_56_4 = e1 & op(e3, e1) = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15240) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (15241)  op(e3, e1) = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15219), (15241), (function-axioms) are
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1571.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (15242)  all_56_9 = e1 & op(e3, e0) = e1
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (13452), (15242), (function-axioms) are
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #121.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | |   (15243)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15243) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | |   (15244)  all_56_8 = e2 & op(e1, e1) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | ALPHA: (15244) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | |   (15245)  op(e1, e1) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15214), (15245), (function-axioms) are
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | |   (15246)  all_56_14 = e2 & op(e0, e1) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (15062), (15246), (function-axioms) are
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #245.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | |   (15247)  all_56_9 = e0 & op(e3, e0) = e0
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | ALPHA: (15247) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | |   (15248)  op(e3, e0) = e0
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | |   (15249)  all_54_14 = e3
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (15249) imply:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | |   (15250)  all_52_11 = e3
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | SIMP: (15250) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | |   (15251)  all_52_11 = e3
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (15251) imply:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | |   (15252)   ~ (all_52_8 = e3)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (15251) imply:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | |   (15253)  op(e0, e1) = e3
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | |   (15254)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (167), (386), (15028), (15254),
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | |            #929.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | |   (15255)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15255) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | |   (15256)  all_56_6 = e0 & op(e1, e3) = e0
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (15211), (15256), (function-axioms) are
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1197.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | |   (15257)  all_56_12 = e0 & op(e0, e3) = e0
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15257) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | |   (15258)  all_56_12 = e0
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | |   (15259)  op(e0, e3) = e0
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (15260)   ~ (all_44_2 = e0)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15210), (15260) imply:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (15261)  $false
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15261) is inconsistent.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | |   (15262)  ( ~ (all_44_0 = e2) & op(e0, e0) = all_44_0 &
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_44_0)) | ( ~ (all_44_1 = e3) & op(e0, e1)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | |              = all_44_1 & $i(all_44_1))
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | |   (15263)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15263) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (15264)  all_57_28 = e3 & op(e3, e3) = e3
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15264) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | |   (15265)  op(e3, e3) = e3
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15262) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15266)   ~ (all_44_0 = e2) & op(e0, e0) = all_44_0 &
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_44_0)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15266) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15267)   ~ (all_44_0 = e2)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15268)  op(e0, e0) = all_44_0
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15269)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15269) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15270)  all_57_28 = e2 & op(e3, e3) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15270) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15271)  op(e3, e3) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15265), (15271), (function-axioms) are
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1594.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15272)  all_57_29 = e2 & op(e2, e2) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15272) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15273)  op(e2, e2) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (164), (165), (221),
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (231), (233), (15032), (15033), (15258), (15259),
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15265), (15273), (function-axioms) are
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1192.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15274)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_29 & $i(all_57_29))
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15274) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15275)  all_57_30 = e2 & op(e1, e1) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15275) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15276)  op(e1, e1) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15214), (15276), (function-axioms) are
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15277)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29))
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15277) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15278)  all_57_31 = e2 & op(e0, e0) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15278) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15279)  op(e0, e0) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15267), (15268), (15279), (function-axioms) are
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #210.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15280)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15280) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15281)   ~ (all_57_29 = e2)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15282)  op(e2, e2) = all_57_29
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15283)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15265), (15281), (15282), (15283),
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #282.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15284)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_16 & $i(all_57_16))
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15284) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15285)  all_57_30 = e2 & op(e1, e1) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15285) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15286)  op(e1, e1) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15214), (15286), (function-axioms) are
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15287)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16))
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15287) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15288)  all_57_31 = e2 & op(e0, e0) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15288) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15289)  op(e0, e0) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15267), (15268), (15289), (function-axioms) are
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #210.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15290)   ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15290) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15291)   ~ (all_57_16 = e3)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15292)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15265), (15281), (15282), (15292),
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #282.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15293)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & $i(all_57_23))
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15293) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15294)  all_57_30 = e2 & op(e1, e1) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15294) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15295)  op(e1, e1) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15214), (15295), (function-axioms) are
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15296)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23))
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15296) gives:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15297)  all_57_31 = e2 & op(e0, e0) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15297) implies:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15298)  op(e0, e0) = e2
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15267), (15268), (15298), (function-axioms) are
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #210.
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15299)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_23)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15299) implies:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15300)   ~ (all_57_23 = e1)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15301)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15301) gives:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15302)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15302) gives:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15303)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15303) implies:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15304)  all_57_16 = e3
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15291), (15304) imply:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15305)  $false
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15305) is inconsistent.
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15306)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15306) implies:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15307)  op(e3, e1) = e3
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (15252), (15307), (function-axioms) are
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15308)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (15060), (15259), (15308),
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #76.
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15309)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15309) gives:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15310)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (15035), (15061), (15310),
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #317.
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15311)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15311) gives:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15312)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15312) implies:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15313)  op(e1, e3) = e1
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15314)  op(e3, e1) = e1
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15263) gives:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e0, e3, simplifying with (168), (15248) gives:
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15315)  all_52_12 = e0
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 182.03/28.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (15314) gives:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15316)  all_52_8 = e1
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e3,
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e3, simplifying with (36), (15265) gives:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15317)  all_4_2 = e3
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (15316) imply:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15318)   ~ (all_52_4 = e1)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (15317) imply:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15319)   ~ (all_52_4 = e3)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (203), (287), (15029), (15060), (15318), (15319)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #364.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15320)  all_57_29 = e3 & op(e2, e2) = e3
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15320) implies:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15321)  op(e2, e2) = e3
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15035), (15321), (function-axioms) are
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15322)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_22 & $i(all_57_22))
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15322) gives:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15323)  all_57_30 = e3 & op(e1, e1) = e3
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15323) implies:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15324)  op(e1, e1) = e3
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15214), (15324), (function-axioms) are
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15325)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22))
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15325) gives:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15326)  all_57_31 = e3 & op(e0, e0) = e3
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15326) implies:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15327)  op(e0, e0) = e3
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13464), (15268), (15327), (function-axioms)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #75.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15328)   ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15328) implies:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15329)   ~ (all_57_22 = e1)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15330)  op(e1, e3) = all_57_22
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15313), (15329), (15330), (function-axioms) are
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #91.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15331)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15331) gives:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15332)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15332) implies:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15333)  all_57_23 = e1
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15300), (15333) imply:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15334)  $false
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15334) is inconsistent.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15335)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15335) implies:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15336)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (15085), (15336),
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #77.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15337)   ~ (all_44_1 = e3) & op(e0, e1) = all_44_1 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_44_1)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15253), (15337), (function-axioms) are
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #99.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (15338)  all_57_29 = e3 & op(e2, e2) = e3
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15338) implies:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (15339)  op(e2, e2) = e3
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15035), (15339), (function-axioms) are
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | |   (15340)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & $i(all_57_25))
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15340) gives:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (15341)  all_57_30 = e3 & op(e1, e1) = e3
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15341) implies:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (15342)  op(e1, e1) = e3
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15214), (15342), (function-axioms) are
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | |   (15343)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_25))
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15343) gives:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15344)  all_57_31 = e3 & op(e0, e0) = e3
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15344) implies:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15345)  all_57_31 = e3
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15346)  op(e0, e0) = e3
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15262) gives:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15347)   ~ (all_44_0 = e2) & op(e0, e0) = all_44_0 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_44_0)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15347) implies:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15348)  op(e0, e0) = all_44_0
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13464), (15346), (15348), (function-axioms)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #75.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15349)   ~ (all_44_1 = e3) & op(e0, e1) = all_44_1 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_44_1)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15349) implies:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15350)   ~ (all_44_1 = e3)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15351)  op(e0, e1) = all_44_1
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15352)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (15035), (15090), (15352),
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #609.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15353)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_30 & $i(all_57_30))
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15353) gives:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15354)  all_57_30 = e1 & op(e1, e1) = e1
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15354) implies:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15355)  op(e1, e1) = e1
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15214), (15355), (function-axioms) are
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15356)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_30))
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15356) gives:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15357)  all_57_31 = e1 & op(e0, e0) = e1
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15345), (15357) are inconsistent by
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #74.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15358)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15358) implies:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15359)   ~ (all_57_30 = e1)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15360)  op(e1, e1) = all_57_30
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15361)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (15035), (15090), (15361),
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #609.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15362)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = all_57_27 & $i(all_57_27))
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15362) gives:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15363)  all_57_30 = e1 & op(e1, e1) = e1
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15363) implies:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15364)  op(e1, e1) = e1
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15359), (15360), (15364), (function-axioms) are
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15365)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_27))
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15365) gives:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15366)  all_57_31 = e1 & op(e0, e0) = e1
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15345), (15366) are inconsistent by
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #74.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15367)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_27)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (15253), (15350), (15351), (15367),
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #126.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15368)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_25)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15368) implies:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15369)   ~ (all_57_25 = e0)
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15370)  op(e0, e3) = all_57_25
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15259), (15369), (15370), (function-axioms) are
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #188.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | |   (15371)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (13451), (15062), (15212), (15371) are
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1233.
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | End of split
% 182.03/28.29  | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | Case 2:
% 182.03/28.29  | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | |   (15372)  all_18_2 = e1
% 182.03/28.29  | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | COMBINE_EQS: (342), (15372) imply:
% 182.03/28.29  | | | | | | | | | | | | | | | |   (15373)  all_4_2 = e1
% 182.03/28.29  | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | REDUCE: (351), (15373) imply:
% 182.03/28.29  | | | | | | | | | | | | | | | |   (15374)   ~ (all_52_1 = e1)
% 182.03/28.29  | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | REDUCE: (357), (15373) imply:
% 182.03/28.29  | | | | | | | | | | | | | | | |   (15375)   ~ (all_52_4 = e1)
% 182.03/28.29  | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | REDUCE: (359), (15373) imply:
% 182.03/28.29  | | | | | | | | | | | | | | | |   (15376)   ~ (all_52_8 = e1)
% 182.03/28.29  | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | REDUCE: (36), (15373) imply:
% 182.03/28.29  | | | | | | | | | | | | | | | |   (15377)  op(e3, e3) = e1
% 182.03/28.29  | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 182.03/28.29  | | | | | | | | | | | | | | | | 
% 182.03/28.29  | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.29  | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | |   (15378)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 182.03/28.30  | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 182.03/28.30  | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (15035), (15377), (15378),
% 182.03/28.30  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.30  | | | | | | | | | | | | | | | | |            #423.
% 182.03/28.30  | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | |   (15379)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 182.03/28.30  | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 182.03/28.30  | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_29 & $i(all_57_29))
% 182.03/28.30  | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | BETA: splitting (15379) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | |   (15380)  all_57_30 = e2 & op(e1, e1) = e2
% 182.03/28.30  | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | ALPHA: (15380) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | |   (15381)  op(e1, e1) = e2
% 182.03/28.30  | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (15086), (15381), (function-axioms) are
% 182.03/28.30  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | |   (15382)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 182.03/28.30  | | | | | | | | | | | | | | | | | |              (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 182.03/28.30  | | | | | | | | | | | | | | | | | |              $i(all_57_29))
% 182.03/28.30  | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | BETA: splitting (15382) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | |   (15383)  all_57_31 = e2 & op(e0, e0) = e2
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | ALPHA: (15383) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | |   (15384)  op(e0, e0) = e2
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (51), (148), (159), (167), (192),
% 182.03/28.30  | | | | | | | | | | | | | | | | | | |            (200), (251), (253), (264), (284), (13449),
% 182.03/28.30  | | | | | | | | | | | | | | | | | | |            (15028), (15035), (15059), (15088), (15374),
% 182.03/28.30  | | | | | | | | | | | | | | | | | | |            (15377), (15384), (function-axioms) are
% 182.03/28.30  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #147.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | |   (15385)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 182.03/28.30  | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | ALPHA: (15385) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | |   (15386)   ~ (all_57_29 = e2)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | |   (15387)  op(e2, e2) = all_57_29
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | |   (15388)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (167), (15035), (15374), (15388),
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | |            #366.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | |   (15389)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15389) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | |   (15390)  all_56_5 = e1 & op(e2, e1) = e1
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | ALPHA: (15390) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | |   (15391)  op(e2, e1) = e1
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | |   (15392)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15392) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | |   (15393)  all_56_4 = e2 & op(e3, e1) = e2
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15393) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | |   (15394)  all_56_4 = e2
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | |   (15395)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15395) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | |   (15396)  all_56_4 = e3 & op(e3, e1) = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15396) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | |   (15397)  op(e3, e1) = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (169), (203), (287), (15029), (15060),
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | |            (15375), (15397), (function-axioms) are
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1047.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | |   (15398)  all_56_5 = e3 & op(e2, e1) = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15398) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | |   (15399)  op(e2, e1) = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15391), (15399), (function-axioms) are
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | |   (15400)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15400) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | |   (15401)  all_56_8 = e3 & op(e1, e1) = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15401) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | |   (15402)  op(e1, e1) = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (15088), (15402), (function-axioms) are
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | |   (15403)  all_56_14 = e3 & op(e0, e1) = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15403) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | |   (15404)  all_56_14 = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15405)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15377), (15386), (15387), (15405),
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | |            #779.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15406)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_16 & $i(all_57_16))
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15406) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15407)  all_57_30 = e2 & op(e1, e1) = e2
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15407) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15408)  op(e1, e1) = e2
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15409)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (165), (15032), (15394), (15409),
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1068.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15410)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15410) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15411)  all_56_8 = e0 & op(e1, e1) = e0
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15411) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15412)  op(e1, e1) = e0
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15408), (15412), (function-axioms) are
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15413)  all_56_14 = e0 & op(e0, e1) = e0
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15413) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15414)  all_56_14 = e0
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15415)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15415) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15416)  all_56_4 = e3 & op(e3, e1) = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15394), (15416) are inconsistent by
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1381.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15417)  all_56_5 = e3 & op(e2, e1) = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15417) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15418)  op(e2, e1) = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15391), (15418), (function-axioms) are
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15400) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15419)  all_56_8 = e3 & op(e1, e1) = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15419) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15420)  op(e1, e1) = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15408), (15420), (function-axioms) are
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15403), (15414) are inconsistent by
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #530.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15421)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16))
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15421) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15422)  all_57_31 = e2 & op(e0, e0) = e2
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15422) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15423)  op(e0, e0) = e2
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (51), (148), (159), (167), (192),
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (200), (251), (253), (264), (284), (13449),
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15028), (15035), (15059), (15088), (15374),
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15377), (15423), (function-axioms) are
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #147.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15424)   ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15424) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15425)   ~ (all_57_16 = e3)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15426)  all_54_1 = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (15426) imply:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15427)  all_52_4 = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (15427) imply:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15428)   ~ (all_52_6 = e3)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15428) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15429)   ~ (all_52_6 = e3)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (15427) imply:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15430)   ~ (all_52_8 = e3)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15430) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15431)   ~ (all_52_8 = e3)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15432)  all_54_9 = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (15429), (15432) are inconsistent by
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15433)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15433) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15434)  all_54_9 = e2
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (15061), (15434) are inconsistent by
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1323.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15435)   ~ (all_54_9 = e2)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15436)  all_54_9 = e1 | all_54_9 = e0
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15437)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (15035), (15377), (15437),
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #360.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15438)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & $i(all_57_19))
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15438) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15439)  all_57_30 = e3 & op(e1, e1) = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15439) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15440)  op(e1, e1) = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (15088), (15440), (function-axioms) are
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15441)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19))
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15441) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15442)  all_57_31 = e3 & op(e0, e0) = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15442) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15443)  op(e0, e0) = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15436) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15444)  all_54_9 = e1
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (15444) imply:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15445)  all_52_6 = e1
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15445) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15446)  all_52_6 = e1
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (15446) imply:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15447)   ~ (all_52_14 = e1)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (15446) imply:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15448)   ~ (all_14_2 = e1)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15448) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15449)   ~ (all_14_2 = e1)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15061), (15446) imply:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15450)   ~ (e2 = e1)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15451)  all_54_10 = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (15088), (15451) are inconsistent by
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1621.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15452)   ~ (all_54_10 = e3)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15453)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15454)  all_56_15 = e0 & op(e0, e0) = e0
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15454) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15455)  op(e0, e0) = e0
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15443), (15455), (function-axioms) are
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15456)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15456) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15457)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15457) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15458)  all_56_12 = e0 & op(e0, e3) = e0
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15458) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15459)  op(e0, e3) = e0
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15453) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15460)  all_54_10 = e2
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (15086), (15460) are inconsistent by
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1620.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15461)  all_54_10 = e1 | all_54_10 = e0
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15461) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15462)  all_54_10 = e1
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (15449), (15462) are inconsistent by
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #123.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15463)  all_54_10 = e0
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (15463) imply:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15464)  all_14_2 = e0
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15464) implies:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15465)  all_14_2 = e0
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (15465) imply:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15466)   ~ (all_52_8 = e0)
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15467)  all_54_2 = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (15467) imply:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15468)  all_52_8 = e3
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15431), (15468) imply:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15469)  $false
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15469) is inconsistent.
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15470)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15471)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15471) gives:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15472)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (169), (203), (287), (15029), (15060),
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15375), (15425), (15472), (function-axioms) are
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #73.
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15473)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15473) gives:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15474)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15474) implies:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15475)  op(e0, e3) = e3
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15459), (15475), (function-axioms) are
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #125.
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15476)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15476) implies:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15477)  op(e3, e2) = e2
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (170), (286), (15376), (15466), (15470),
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15477), (function-axioms) are inconsistent by
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #205.
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15478)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (160), (169), (248), (13454), (15035),
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15085), (15376), (15377), (15386), (15387),
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15391), (15443), (15478), (function-axioms) are
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #71.
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15479)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (158), (15031), (15404), (15479),
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1440.
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15480)  all_54_9 = e0
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (15030), (15480) are inconsistent by
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1321.
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15481)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15481) implies:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15482)   ~ (all_57_19 = e2)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15483)  op(e2, e3) = all_57_19
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15484)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15484) gives:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15485)  all_56_4 = e0 & op(e3, e1) = e0
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15394), (15485) are inconsistent by
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1190.
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15486)  all_56_5 = e0 & op(e2, e1) = e0
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (15032), (15486), (function-axioms) are
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1476.
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15487)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15487) gives:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15488)  all_56_8 = e0 & op(e1, e1) = e0
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15488) implies:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15489)  op(e1, e1) = e0
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15490)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (15035), (15377), (15490),
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #360.
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15491)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & $i(all_57_25))
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15491) gives:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15492)  all_57_30 = e3 & op(e1, e1) = e3
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15492) implies:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15493)  op(e1, e1) = e3
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15489), (15493), (function-axioms) are
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15494)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_25))
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15494) gives:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15495)  all_57_31 = e3 & op(e0, e0) = e3
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15495) implies:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15496)  op(e0, e0) = e3
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15497)  all_56_15 = e0 & op(e0, e0) = e0
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15497) implies:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15498)  op(e0, e0) = e0
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15496), (15498), (function-axioms) are
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15499)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15499) implies:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15500)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15500) gives:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15501)  all_56_12 = e0 & op(e0, e3) = e0
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15501) implies:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15502)  op(e0, e3) = e0
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15503)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15503) gives:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15504)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (169), (203), (287), (15029), (15060),
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15375), (15425), (15504), (function-axioms) are
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #73.
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15505)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15505) gives:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15506)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15506) implies:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15507)  op(e0, e3) = e3
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15502), (15507), (function-axioms) are
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #125.
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15508)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15508) implies:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15509)  op(e2, e3) = e2
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15482), (15483), (15509), (function-axioms) are
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #180.
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15510)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (160), (169), (248), (13454), (15035),
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15085), (15376), (15377), (15386), (15387),
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15391), (15496), (15510), (function-axioms) are
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #71.
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15511)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (158), (15031), (15404), (15511),
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1440.
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15512)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_25)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15512) implies:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15513)   ~ (all_57_25 = e0)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15514)  op(e0, e3) = all_57_25
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15515)  all_56_15 = e0 & op(e0, e0) = e0
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15515) implies:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15516)  op(e0, e0) = e0
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (15516), (function-axioms) are
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15517)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15517) implies:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15518)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15518) gives:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15519)  all_56_12 = e0 & op(e0, e3) = e0
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15519) implies:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15520)  op(e0, e3) = e0
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15513), (15514), (15520), (function-axioms) are
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #188.
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15521)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (158), (15031), (15404), (15521),
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1440.
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15522)  all_56_14 = e0 & op(e0, e1) = e0
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15404), (15522) are inconsistent by
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1371.
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15523)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (15029), (15060), (15375), (15523) are
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1057.
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | |   (15524)  all_56_5 = e2 & op(e2, e1) = e2
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15524) implies:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | |   (15525)  op(e2, e1) = e2
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15391), (15525), (function-axioms) are
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1148.
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | |   (15526)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15526) gives:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | |   (15527)  all_56_8 = e2 & op(e1, e1) = e2
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15527) implies:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | |   (15528)  op(e1, e1) = e2
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (15086), (15528), (function-axioms) are
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | |   (15529)  all_56_14 = e2 & op(e0, e1) = e2
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (15062), (15529), (function-axioms) are
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #245.
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | |   (15530)  all_56_10 = e1 & op(e2, e0) = e1
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | ALPHA: (15530) implies:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | |   (15531)  op(e2, e0) = e1
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13453), (15531), (function-axioms) are
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1273.
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | End of split
% 182.03/28.32  | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | Case 2:
% 182.03/28.32  | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | |   (15532)  all_16_2 = e3
% 182.03/28.32  | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | COMBINE_EQS: (338), (15532) imply:
% 182.03/28.32  | | | | | | | | | | | | | | |   (15533)  all_14_2 = e3
% 182.03/28.32  | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | REDUCE: (374), (15533) imply:
% 182.03/28.32  | | | | | | | | | | | | | | |   (15534)   ~ (all_52_6 = e3)
% 182.03/28.32  | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | REDUCE: (376), (15533) imply:
% 182.03/28.32  | | | | | | | | | | | | | | |   (15535)   ~ (all_52_8 = e3)
% 182.03/28.32  | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | REDUCE: (377), (15533) imply:
% 182.03/28.32  | | | | | | | | | | | | | | |   (15536)   ~ (all_52_9 = e3)
% 182.03/28.32  | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | REDUCE: (379), (15533) imply:
% 182.03/28.32  | | | | | | | | | | | | | | |   (15537)   ~ (all_52_11 = e3)
% 182.03/28.32  | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | REDUCE: (51), (15533) imply:
% 182.03/28.32  | | | | | | | | | | | | | | |   (15538)  op(e1, e1) = e3
% 182.03/28.32  | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 182.03/28.32  | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | Case 1:
% 182.03/28.32  | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | |   (15539)  all_54_14 = e3
% 182.03/28.32  | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | REF_CLOSE: (262), (15537), (15539) are inconsistent by
% 182.03/28.32  | | | | | | | | | | | | | | | |            sub-proof #1259.
% 182.03/28.32  | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | Case 2:
% 182.03/28.32  | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | |   (15540)   ~ (all_54_14 = e3)
% 182.03/28.32  | | | | | | | | | | | | | | | |   (15541)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 182.03/28.32  | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | BETA: splitting (15541) gives:
% 182.03/28.32  | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.32  | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | |   (15542)  all_54_14 = e2
% 182.03/28.32  | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (15062), (15542) are inconsistent by
% 182.03/28.32  | | | | | | | | | | | | | | | | |            sub-proof #1234.
% 182.03/28.32  | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.32  | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | |   (15543)   ~ (all_54_14 = e2)
% 182.03/28.32  | | | | | | | | | | | | | | | | |   (15544)  all_54_14 = e1 | all_54_14 = e0
% 182.03/28.32  | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | BETA: splitting (15544) gives:
% 182.03/28.32  | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | |   (15545)  all_54_14 = e1
% 182.03/28.32  | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (13451), (15545) are inconsistent by
% 182.03/28.32  | | | | | | | | | | | | | | | | | |            sub-proof #1307.
% 182.03/28.32  | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | |   (15546)  all_54_14 = e0
% 182.03/28.32  | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (15546) imply:
% 182.03/28.32  | | | | | | | | | | | | | | | | | |   (15547)  all_52_11 = e0
% 182.03/28.32  | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | SIMP: (15547) implies:
% 182.03/28.32  | | | | | | | | | | | | | | | | | |   (15548)  all_52_11 = e0
% 182.03/28.32  | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | REDUCE: (139), (15548) imply:
% 182.03/28.32  | | | | | | | | | | | | | | | | | |   (15549)   ~ (all_52_3 = e0)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | REDUCE: (15062), (15548) imply:
% 182.03/28.32  | | | | | | | | | | | | | | | | | |   (15550)   ~ (e2 = e0)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | REDUCE: (13451), (15548) imply:
% 182.03/28.32  | | | | | | | | | | | | | | | | | |   (15551)   ~ (e1 = e0)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | |   (15552)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 182.03/28.32  | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | BETA: splitting (15552) gives:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | |   (15553)  all_56_12 = e3 & op(e0, e3) = e3
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | ALPHA: (15553) implies:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | |   (15554)  all_56_12 = e3
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13447) gives:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | |   (15555)   ~ (all_6_0 = e3) & op(e1, e1) = all_6_0 &
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | |            $i(all_6_0)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | ALPHA: (15555) implies:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | |   (15556)   ~ (all_6_0 = e3)
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | |   (15557)  op(e1, e1) = all_6_0
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | |   (15558)  all_54_12 = e3
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (15558) imply:
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | |   (15559)  all_52_3 = e3
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.32  | | | | | | | | | | | | | | | | | | | | | | SIMP: (15559) implies:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | |   (15560)  all_52_3 = e3
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (15560) imply:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | |   (15561)   ~ (all_52_1 = e3)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (15560) imply:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | |   (15562)  op(e0, e3) = e3
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | |   (15563)  all_56_15 = e0 & op(e0, e0) = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15563) implies:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | |   (15564)  op(e0, e0) = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (15564), (function-axioms) are
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | |   (15565)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15565) implies:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | |   (15566)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15566) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | |   (15567)  all_56_12 = e0 & op(e0, e3) = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15567) implies:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | |   (15568)  op(e0, e3) = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15562), (15568), (function-axioms) are
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #125.
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | |   (15569)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15569) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (15570)  all_56_13 = e0 & op(e0, e2) = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15570) implies:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (15571)  op(e0, e2) = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (15031), (15571), (function-axioms) are
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1463.
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (15572)  all_56_14 = e0 & op(e0, e1) = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15572) implies:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (15573)  all_56_14 = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15574)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (15035), (15561), (15574),
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            #146.
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15575)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15575) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15576)  all_56_5 = e3 & op(e2, e1) = e3
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15576) implies:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15577)  op(e2, e1) = e3
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (15536), (15577), (function-axioms) are
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15578)  all_56_10 = e3 & op(e2, e0) = e3
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15578) implies:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15579)  all_56_10 = e3
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15580)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15580) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15581)  all_56_1 = e3 & op(e3, e2) = e3
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15581) implies:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15582)  op(e3, e2) = e3
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15583)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (15582), (15583),
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #70.
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15584)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15584) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15585)  all_56_4 = e0 & op(e3, e1) = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (218), (219),
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15062), (15084), (15538), (15554), (15566),
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15585), (function-axioms) are inconsistent by
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #69.
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15586)  all_56_9 = e0 & op(e3, e0) = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15586) implies:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15587)  all_56_9 = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15588)  op(e3, e0) = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15589)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (15579), (15587), (15589) are
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #68.
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15590)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15590) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15591)  all_56_11 = e2 & op(e1, e0) = e2
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15591) implies:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15592)  all_56_11 = e2
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15593)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (15035), (15582), (15593),
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #67.
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15594)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15594) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15595)  all_56_7 = e1 & op(e1, e2) = e1
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15595) implies:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15596)  op(e1, e2) = e1
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15597)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15597) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15598)  all_56_6 = e0 & op(e1, e3) = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15598) implies:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15599)  op(e1, e3) = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15600)  all_54_9 = e3
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (15534), (15600) are inconsistent by
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15601)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15601) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15602)  all_54_9 = e2
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (15061), (15602) are inconsistent by
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1323.
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15603)   ~ (all_54_9 = e2)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15604)  all_54_9 = e1 | all_54_9 = e0
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15604) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15605)  all_54_9 = e1
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (15605) imply:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15606)  all_52_6 = e1
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15606) implies:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15607)  all_52_6 = e1
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (15607) imply:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15608)   ~ (all_52_4 = e1)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (15607) imply:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15609)   ~ (all_52_14 = e1)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15610)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (134), (167), (169), (203), (287),
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15029), (15060), (15561), (15582), (15588),
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15608), (15610), (function-axioms) are
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #65.
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15611)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15611) gives:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15612)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (15035), (15061), (15612),
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #317.
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15613)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15613) gives:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15614)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15614) implies:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15615)  op(e1, e3) = e1
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15599), (15615), (function-axioms) are
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1251.
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15616)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15616) gives:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15617)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15617) implies:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15618)  op(e1, e1) = all_57_30
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_0,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30, e1, e1, simplifying with (15557),
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (15618) gives:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15619)  all_57_30 = all_6_0
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30, e1, e1, simplifying with (15538),
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (15618) gives:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15620)  all_57_30 = e3
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15619), (15620) imply:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15621)  all_6_0 = e3
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15621) implies:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15622)  all_6_0 = e3
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15556), (15622) imply:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15623)  $false
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15623) is inconsistent.
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15624)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15624) implies:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15625)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (15085), (15625),
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #77.
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15626)  all_54_9 = e0
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (15030), (15626) are inconsistent by
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1321.
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15627)  all_56_7 = e0 & op(e1, e2) = e0
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15627) implies:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15628)  op(e1, e2) = e0
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15596), (15628), (function-axioms) are
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #863.
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15629)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (165), (169), (220), (15535), (15536),
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15573), (15592), (15629), (function-axioms) are
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #64.
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15630)  all_56_13 = e1 & op(e0, e2) = e1
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15630) implies:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15631)  op(e0, e2) = e1
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15085), (15631), (function-axioms) are
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #279.
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15632)  all_56_15 = e2 & op(e0, e0) = e2
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15632) implies:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15633)  op(e0, e0) = e2
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13464), (15633), (function-axioms) are
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15634)  all_56_3 = e3 & op(e2, e2) = e3
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15634) implies:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15635)  op(e2, e2) = e3
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15035), (15635), (function-axioms) are
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15636)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (162), (170), (225), (227),
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15029), (15030), (15060), (15061), (15534),
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15636), (function-axioms) are inconsistent by
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #63.
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | |   (15637)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (13449), (15059), (15549), (15637) are
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #175.
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | |   (15638)   ~ (all_6_1 = e2) & op(e1, e0) = all_6_1 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | |            $i(all_6_1)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | ALPHA: (15638) implies:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | |   (15639)   ~ (all_6_1 = e2)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | |   (15640)  op(e1, e0) = all_6_1
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | |   (15641)  all_54_12 = e3
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (15641) imply:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | |   (15642)  all_52_3 = e3
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | SIMP: (15642) implies:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | |   (15643)  all_52_3 = e3
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (15643) imply:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | |   (15644)   ~ (all_52_1 = e3)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (15643) imply:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | |   (15645)  op(e0, e3) = e3
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | |   (15646)  all_56_15 = e0 & op(e0, e0) = e0
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15646) implies:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | |   (15647)  op(e0, e0) = e0
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (15647), (function-axioms) are
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | |   (15648)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15648) implies:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | |   (15649)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15649) gives:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | |   (15650)  all_56_12 = e0 & op(e0, e3) = e0
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15650) implies:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | |   (15651)  op(e0, e3) = e0
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15645), (15651), (function-axioms) are
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #125.
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | |   (15652)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15652) gives:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | |   (15653)  all_56_13 = e0 & op(e0, e2) = e0
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15653) implies:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | |   (15654)  op(e0, e2) = e0
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (15031), (15654), (function-axioms) are
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1463.
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | |   (15655)  all_56_14 = e0 & op(e0, e1) = e0
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15655) implies:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | |   (15656)  all_56_14 = e0
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15657)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (15035), (15644), (15657),
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | |            #146.
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15658)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15658) gives:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15659)  all_56_5 = e3 & op(e2, e1) = e3
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15659) implies:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15660)  op(e2, e1) = e3
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (15536), (15660), (function-axioms) are
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15661)  all_56_10 = e3 & op(e2, e0) = e3
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15661) implies:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15662)  all_56_10 = e3
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15663)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15663) gives:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15664)  all_56_1 = e3 & op(e3, e2) = e3
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15664) implies:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15665)  op(e3, e2) = e3
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15666)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (15665), (15666),
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #70.
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15667)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15667) gives:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15668)  all_56_4 = e0 & op(e3, e1) = e0
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (218), (219),
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15062), (15084), (15538), (15554), (15649),
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15668), (function-axioms) are inconsistent by
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #69.
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15669)  all_56_9 = e0 & op(e3, e0) = e0
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15669) implies:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15670)  all_56_9 = e0
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15671)  op(e3, e0) = e0
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15672)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (15662), (15670), (15672) are
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #68.
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15673)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15673) gives:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15674)  all_56_11 = e2 & op(e1, e0) = e2
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15674) implies:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15675)  all_56_11 = e2
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15676)  op(e1, e0) = e2
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15677)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (15035), (15665), (15677),
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #67.
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15678)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15678) gives:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15679)  all_56_7 = e1 & op(e1, e2) = e1
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15679) implies:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15680)  op(e1, e2) = e1
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15681)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15681) gives:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15682)  all_56_6 = e0 & op(e1, e3) = e0
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15682) implies:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15683)  op(e1, e3) = e0
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15684)  all_54_9 = e3
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (15534), (15684) are inconsistent by
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15685)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15685) gives:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15686)  all_54_9 = e2
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (15061), (15686) are inconsistent by
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1323.
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15687)   ~ (all_54_9 = e2)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15688)  all_54_9 = e1 | all_54_9 = e0
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15688) gives:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15689)  all_54_9 = e1
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (15689) imply:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15690)  all_52_6 = e1
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15690) implies:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15691)  all_52_6 = e1
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (15691) imply:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15692)   ~ (all_52_4 = e1)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (15691) imply:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15693)   ~ (all_52_14 = e1)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15694)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (134), (167), (169), (203), (287),
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15029), (15060), (15644), (15665), (15671),
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15692), (15694), (function-axioms) are
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #65.
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15695)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15695) gives:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15696)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (15035), (15061), (15696),
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #317.
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15697)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15697) gives:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15698)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15698) implies:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15699)  op(e1, e3) = e1
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15683), (15699), (function-axioms) are
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1251.
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15700)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15700) gives:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15701)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15701) implies:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15702)  op(e1, e0) = all_57_24
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_6_1, e0, e1, simplifying with (160), (15640)
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15703)  all_52_14 = all_6_1
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24, e0, e1, simplifying with (160), (15702)
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15704)  all_57_24 = all_52_14
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24, e0, e1, simplifying with (15676),
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (15702) gives:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15705)  all_57_24 = e2
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15704), (15705) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15706)  all_52_14 = e2
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15706) implies:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15707)  all_52_14 = e2
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15703), (15707) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15708)  all_6_1 = e2
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15708) implies:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15709)  all_6_1 = e2
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15639), (15709) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15710)  $false
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15710) is inconsistent.
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15711)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15711) implies:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15712)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (15085), (15712),
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #77.
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15713)  all_54_9 = e0
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (15030), (15713) are inconsistent by
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1321.
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15714)  all_56_7 = e0 & op(e1, e2) = e0
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15714) implies:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15715)  op(e1, e2) = e0
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15680), (15715), (function-axioms) are
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #863.
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15716)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (165), (169), (220), (15535), (15536),
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15656), (15675), (15716), (function-axioms) are
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #64.
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15717)  all_56_13 = e1 & op(e0, e2) = e1
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15717) implies:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15718)  op(e0, e2) = e1
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15085), (15718), (function-axioms) are
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #279.
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15719)  all_56_15 = e2 & op(e0, e0) = e2
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15719) implies:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15720)  all_56_15 = e2
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13463), (15720) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15721)  e2 = e1
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (15721) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15722)  $false
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15722) is inconsistent.
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15723)  all_56_3 = e3 & op(e2, e2) = e3
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15723) implies:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15724)  op(e2, e2) = e3
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15035), (15724), (function-axioms) are
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15725)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (162), (170), (225), (227),
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15029), (15030), (15060), (15061), (15534),
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15725), (function-axioms) are inconsistent by
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #63.
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | |   (15726)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (13449), (15059), (15549), (15726) are
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #175.
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | |   (15727)  all_56_13 = e3 & op(e0, e2) = e3
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | ALPHA: (15727) implies:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | |   (15728)  all_56_13 = e3
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (162), (170), (225), (227),
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | |            (15029), (15030), (15060), (15061), (15728),
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | |            #81.
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | |   (15729)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 182.03/28.36  | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | BETA: splitting (15729) gives:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | |   (15730)  all_56_14 = e3 & op(e0, e1) = e3
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | ALPHA: (15730) implies:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | |   (15731)  all_56_14 = e3
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | |            (219), (15032), (15538), (15731),
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | |            #333.
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | |   (15732)  all_56_15 = e3 & op(e0, e0) = e3
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13463), (15732) are inconsistent by
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | |            sub-proof #80.
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | End of split
% 182.03/28.36  | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | |   (15733)  all_14_2 = e2
% 182.03/28.36  | | | | | | | | | | | | | |   (15734)  ( ~ (all_14_0 = e0) & op(e2, e2) = all_14_0 &
% 182.03/28.36  | | | | | | | | | | | | | |              $i(all_14_0)) | ( ~ (all_14_1 = e3) & op(e2, e1)
% 182.03/28.36  | | | | | | | | | | | | | |              = all_14_1 & $i(all_14_1))
% 182.03/28.36  | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | REDUCE: (376), (15733) imply:
% 182.03/28.36  | | | | | | | | | | | | | |   (15735)   ~ (all_52_8 = e2)
% 182.03/28.36  | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | REDUCE: (377), (15733) imply:
% 182.03/28.36  | | | | | | | | | | | | | |   (15736)   ~ (all_52_9 = e2)
% 182.03/28.36  | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | REDUCE: (381), (15733) imply:
% 182.03/28.36  | | | | | | | | | | | | | |   (15737)   ~ (all_52_14 = e2)
% 182.03/28.36  | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | REDUCE: (51), (15733) imply:
% 182.03/28.36  | | | | | | | | | | | | | |   (15738)  op(e1, e1) = e2
% 182.03/28.36  | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | BETA: splitting (15734) gives:
% 182.03/28.36  | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | Case 1:
% 182.03/28.36  | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | |   (15739)   ~ (all_14_0 = e0) & op(e2, e2) = all_14_0 &
% 182.03/28.36  | | | | | | | | | | | | | | |            $i(all_14_0)
% 182.03/28.36  | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | REF_CLOSE: (15035), (15739), (function-axioms) are
% 182.03/28.36  | | | | | | | | | | | | | | |            inconsistent by sub-proof #332.
% 182.03/28.36  | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | |   (15740)   ~ (all_14_1 = e3) & op(e2, e1) = all_14_1 &
% 182.03/28.36  | | | | | | | | | | | | | | |            $i(all_14_1)
% 182.03/28.36  | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | ALPHA: (15740) implies:
% 182.03/28.36  | | | | | | | | | | | | | | |   (15741)   ~ (all_14_1 = e3)
% 182.03/28.36  | | | | | | | | | | | | | | |   (15742)  op(e2, e1) = all_14_1
% 182.03/28.36  | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 182.03/28.36  | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | Case 1:
% 182.03/28.36  | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | |   (15743)   ~ (all_36_2 = e1)
% 182.03/28.36  | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | REDUCE: (13448), (15743) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | |   (15744)  $false
% 182.03/28.36  | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | CLOSE: (15744) is inconsistent.
% 182.03/28.36  | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | |   (15745)  ( ~ (all_36_0 = e2) & op(e1, e1) = all_36_0 &
% 182.03/28.36  | | | | | | | | | | | | | | | |              $i(all_36_0)) | ( ~ (all_36_1 = e3) & op(e1, e0)
% 182.03/28.36  | | | | | | | | | | | | | | | |              = all_36_1 & $i(all_36_1))
% 182.03/28.36  | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | BETA: splitting (15745) gives:
% 182.03/28.36  | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15746)   ~ (all_36_0 = e2) & op(e1, e1) = all_36_0 &
% 182.03/28.36  | | | | | | | | | | | | | | | | |            $i(all_36_0)
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | ALPHA: (15746) implies:
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15747)   ~ (all_36_0 = e2)
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15748)  op(e1, e1) = all_36_0
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | REF_CLOSE: (15738), (15747), (15748), (function-axioms) are
% 182.03/28.36  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #92.
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15749)   ~ (all_36_1 = e3) & op(e1, e0) = all_36_1 &
% 182.03/28.36  | | | | | | | | | | | | | | | | |            $i(all_36_1)
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | ALPHA: (15749) implies:
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15750)   ~ (all_36_1 = e3)
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15751)  op(e1, e0) = all_36_1
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 182.03/28.36  | | | | | | | | | | | | | | | | |              all_36_1, e0, e1, simplifying with (160), (15751)
% 182.03/28.36  | | | | | | | | | | | | | | | | |              gives:
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15752)  all_52_14 = all_36_1
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 182.03/28.36  | | | | | | | | | | | | | | | | |              all_14_1, e1, e2, simplifying with (165), (15742)
% 182.03/28.36  | | | | | | | | | | | | | | | | |              gives:
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15753)  all_52_9 = all_14_1
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (15752) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15754)  all_54_11 = all_36_1
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (15753) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15755)  all_54_6 = all_14_1
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | REDUCE: (141), (15752) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15756)   ~ (all_52_2 = all_36_1)
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | REDUCE: (126), (15752) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15757)   ~ (all_52_6 = all_36_1)
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | REDUCE: (123), (15753) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15758)   ~ (all_52_8 = all_14_1)
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | REDUCE: (118), (15753) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15759)   ~ (all_52_11 = all_14_1)
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | SIMP: (15759) implies:
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15760)   ~ (all_52_11 = all_14_1)
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | REDUCE: (15736), (15753) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15761)   ~ (all_14_1 = e2)
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | REDUCE: (15032), (15753) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15762)   ~ (all_14_1 = e0)
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | REDUCE: (15737), (15752) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15763)   ~ (all_36_1 = e2)
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | REDUCE: (13454), (15752) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | |   (15764)   ~ (all_36_1 = e1)
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 182.03/28.36  | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | |   (15765)  all_54_11 = e3
% 182.03/28.36  | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | REF_CLOSE: (15750), (15754), (15765) are inconsistent by
% 182.03/28.36  | | | | | | | | | | | | | | | | | |            sub-proof #86.
% 182.03/28.36  | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | |   (15766)   ~ (all_54_11 = e3)
% 182.03/28.36  | | | | | | | | | | | | | | | | | |   (15767)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 182.03/28.36  | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | BETA: splitting (15767) gives:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | |   (15768)  all_54_11 = e2
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15754), (15763), (15768) are inconsistent by
% 182.03/28.36  | | | | | | | | | | | | | | | | | | |            sub-proof #85.
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | |   (15769)   ~ (all_54_11 = e2)
% 182.03/28.36  | | | | | | | | | | | | | | | | | | |   (15770)  all_54_11 = e1 | all_54_11 = e0
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | |   (15771)  all_54_6 = e3
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15755), (15771) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | |   (15772)  all_14_1 = e3
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | REDUCE: (15741), (15772) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | |   (15773)  $false
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | CLOSE: (15773) is inconsistent.
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | |   (15774)   ~ (all_54_6 = e3)
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | |   (15775)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | BETA: splitting (15775) gives:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | |   (15776)  all_54_6 = e2
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15755), (15776) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | |   (15777)  all_14_1 = e2
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | REDUCE: (15761), (15777) imply:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | |   (15778)  $false
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | CLOSE: (15778) is inconsistent.
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.36  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | |   (15779)   ~ (all_54_6 = e2)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | |   (15780)  all_54_6 = e1 | all_54_6 = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15780) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | |   (15781)  all_54_6 = e1
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15755), (15781) imply:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | |   (15782)  all_14_1 = e1
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15758), (15782) imply:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | |   (15783)   ~ (all_52_8 = e1)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15741), (15782) imply:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | |   (15784)   ~ (e3 = e1)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15761), (15782) imply:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | |   (15785)   ~ (e2 = e1)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | |   (15786)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15786) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | |   (15787)  all_56_4 = e1 & op(e3, e1) = e1
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15787) implies:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | |   (15788)  op(e3, e1) = e1
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (15783), (15788), (function-axioms) are
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | |   (15789)  all_56_5 = e1 & op(e2, e1) = e1
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15789) implies:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | |   (15790)  all_56_5 = e1
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | |   (15791)  op(e2, e1) = e1
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15770) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (15792)  all_54_11 = e1
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15754), (15764), (15792) are inconsistent by
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #84.
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (15793)  all_54_11 = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15754), (15793) imply:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (15794)  all_36_1 = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15794) implies:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (15795)  all_36_1 = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15756), (15795) imply:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (15796)   ~ (all_52_2 = e0)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15763), (15795) imply:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (15797)   ~ (e2 = e0)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15764), (15795) imply:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (15798)   ~ (e1 = e0)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15799)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15799) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15800)  all_56_0 = e0 & op(e3, e3) = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15800) implies:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15801)  op(e3, e3) = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (386), (15801), (function-axioms) are
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1624.
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15802)  all_56_2 = e0 & op(e2, e3) = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15802) implies:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15803)  all_56_2 = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (223), (224), (15035),
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15791), (15803), (function-axioms) are
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #603.
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (15804)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15804) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15805)  all_56_6 = e0 & op(e1, e3) = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (15796), (15805), (function-axioms) are
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1197.
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15806)  all_56_12 = e0 & op(e0, e3) = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15806) implies:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15807)  op(e0, e3) = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15808)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15808) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15809)  all_56_6 = e0 & op(e1, e3) = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (15796), (15809), (function-axioms) are
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1197.
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15810)  all_56_7 = e0 & op(e1, e2) = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (15030), (15810), (function-axioms) are
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1199.
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15811)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15811) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15812)  all_56_8 = e0 & op(e1, e1) = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15812) implies:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15813)  op(e1, e1) = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15738), (15813), (function-axioms) are
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15814)  all_56_11 = e0 & op(e1, e0) = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15814) implies:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15815)  all_56_11 = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15816)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (386), (15029), (15816),
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1060.
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15817)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15817) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15818)  all_56_4 = e0 & op(e3, e1) = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15818) implies:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15819)  all_56_4 = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15820)  op(e3, e1) = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15821)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (162), (170), (225), (227),
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15029), (15030), (15060), (15061), (15807),
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15821), (function-axioms) are inconsistent by
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #62.
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15822)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15822) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15823)  all_56_14 = e3 & op(e0, e1) = e3
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15823) implies:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15824)  all_56_14 = e3
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15825)  op(e0, e1) = e3
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, e0, simplifying with (157), (15825) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15826)  all_52_11 = e3
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (15807) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15827)  all_52_3 = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e3, simplifying with (169), (15820) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15828)  all_52_8 = e0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15829)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15829) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15830)  all_57_28 = e3 & op(e3, e3) = e3
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15830) implies:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15831)  all_57_28 = e3
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15832)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15832) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15833)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15833) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15834)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15834) implies:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15835)  op(e3, e2) = e3
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15836)  op(e3, e3) = all_57_28
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15837)  op(e3, all_57_28) = all_57_0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15831), (15837) imply:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15838)  op(e3, e3) = all_57_0
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15831), (15836) imply:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15839)  op(e3, e3) = e3
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (15835) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15840)  all_52_4 = e3
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2,
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_0, e3, e3, simplifying with (36), (15838)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15841)  all_57_0 = all_4_2
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_57_0,
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e3, simplifying with (15838), (15839) gives:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15842)  all_57_0 = e3
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15841), (15842) imply:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15843)  all_4_2 = e3
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15843) implies:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15844)  all_4_2 = e3
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (15840), (15844) imply:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15845)  $false
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15845) is inconsistent.
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15846)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15846) implies:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15847)  op(e3, e1) = e3
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (15820), (15847), (function-axioms)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1577.
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15848)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (15060), (15807), (15848),
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #76.
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15849)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15849) gives:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15850)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15035), (15791), (15850), (function-axioms)
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #72.
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15851)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15851) gives:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15852)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15852) implies:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15853)  op(e3, e1) = e1
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15820), (15853), (function-axioms) are
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1571.
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15854)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15854) gives:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15855)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15855) implies:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15856)   ~ (all_57_30 = e2)
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15857)  op(e1, e1) = all_57_30
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15738), (15856), (15857), (function-axioms) are
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #661.
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15858)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15858) implies:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15859)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (15085), (15859),
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #77.
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15860)  all_57_29 = e3 & op(e2, e2) = e3
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15860) implies:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15861)  op(e2, e2) = e3
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15035), (15861), (function-axioms) are
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15862)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & $i(all_57_25))
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15862) gives:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15863)  all_57_30 = e3 & op(e1, e1) = e3
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15863) implies:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15864)  op(e1, e1) = e3
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (219), (15791), (15819), (15824),
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15864), (function-axioms) are inconsistent by
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #814.
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15865)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_25))
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15865) gives:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15866)  all_57_31 = e3 & op(e0, e0) = e3
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15866) implies:
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15867)  op(e0, e0) = e3
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15868)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15868) gives:
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15869)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15869) gives:
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15870)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15870) implies:
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15871)  all_57_16 = e3
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15872)   ~ (all_57_28 = e2)
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15873)  op(e3, e3) = all_57_28
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15874)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15874) gives:
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15875)  all_57_28 = e2 & op(e3, e3) = e2
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.03/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15875) implies:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15876)  op(e3, e3) = e2
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28, e3, e3, simplifying with (15873),
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (15876) gives:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15877)  all_57_28 = e2
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15872), (15877) imply:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15878)  $false
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15878) is inconsistent.
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15879)  all_57_29 = e2 & op(e2, e2) = e2
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15879) implies:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15880)  op(e2, e2) = e2
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15035), (15880), (function-axioms) are
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1586.
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15881)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_16 & $i(all_57_16))
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15881) gives:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15882)  all_57_30 = e2 & op(e1, e1) = e2
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e0,
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (13464), (15867) gives:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15883)  e3 = e1
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15824), (15883) imply:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15884)  all_56_14 = e1
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (15738), (15791), (15819),
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15884), (function-axioms) are inconsistent by
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #906.
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15885)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16))
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15885) gives:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15886)  all_57_31 = e2 & op(e0, e0) = e2
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15886) implies:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15887)  op(e0, e0) = e2
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15867), (15887), (function-axioms) are
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15888)   ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16)
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15888) implies:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15889)   ~ (all_57_16 = e3)
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15871), (15889) imply:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15890)  $false
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15890) is inconsistent.
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15891)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15891) implies:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15892)  op(e3, e1) = e3
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (15820), (15892), (function-axioms)
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1577.
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15893)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (15060), (15807), (15893),
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #76.
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15894)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15894) gives:
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15895)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15035), (15791), (15895), (function-axioms)
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #72.
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15896)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15896) gives:
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15897)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15897) implies:
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15898)  op(e3, e1) = e1
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15820), (15898), (function-axioms) are
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1571.
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15899)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15899) gives:
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15900)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15900) implies:
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15901)   ~ (all_57_30 = e2)
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15902)  op(e1, e1) = all_57_30
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15738), (15901), (15902), (function-axioms) are
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #661.
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15903)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 182.81/28.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15903) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15904)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (15085), (15904),
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #77.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15905)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_25)
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15905) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15906)   ~ (all_57_25 = e0)
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15907)  op(e0, e3) = all_57_25
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15807), (15906), (15907), (function-axioms) are
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #188.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15908)  all_56_15 = e3 & op(e0, e0) = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13463), (15908) are inconsistent by
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #80.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15909)  all_56_9 = e0 & op(e3, e0) = e0
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15909) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15910)  all_56_9 = e0
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15911)  op(e3, e0) = e0
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15912)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (162), (170), (225), (227),
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15029), (15030), (15060), (15061), (15807),
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15912), (function-axioms) are inconsistent by
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #62.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15913)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15913) gives:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15914)  all_56_14 = e3 & op(e0, e1) = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15914) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15915)  all_56_14 = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15916)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15916) gives:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15917)  all_56_9 = e2 & op(e3, e0) = e2
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15917) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15918)  all_56_9 = e2
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15910), (15918) are inconsistent by
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1570.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15919)  all_56_10 = e2 & op(e2, e0) = e2
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15919) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15920)  all_56_10 = e2
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15921)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15921) gives:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15922)  all_56_2 = e3 & op(e2, e3) = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15922) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15923)  all_56_2 = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15924)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15924) gives:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15925)  all_56_9 = e3 & op(e3, e0) = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15925) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15926)  op(e3, e0) = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15911), (15926), (function-axioms) are
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1189.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15927)  all_56_10 = e3 & op(e2, e0) = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15927) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15928)  all_56_10 = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15929)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (15035), (15923), (15929),
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #588.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15930)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15930) gives:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15931)  all_56_5 = e2 & op(e2, e1) = e2
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15931) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15932)  op(e2, e1) = e2
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15791), (15932), (function-axioms) are
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1148.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15919), (15928) are inconsistent by
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1502.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15933)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15933) gives:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15934)  all_56_11 = e3 & op(e1, e0) = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15934) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15935)  all_56_11 = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15815), (15935) imply:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15936)  e3 = e0
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15923), (15936) imply:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15937)  all_56_2 = e0
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (15035), (15791), (15920),
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15937), (function-axioms) are inconsistent by
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #604.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15938)  all_56_15 = e3 & op(e0, e0) = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15938) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15939)  all_56_15 = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13463), (15939) imply:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15940)  e3 = e1
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15923), (15940) imply:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15941)  all_56_2 = e1
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (15035), (15791), (15920),
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15941), (function-axioms) are inconsistent by
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #428.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15942)  all_56_3 = e3 & op(e2, e2) = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15942) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15943)  op(e2, e2) = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15035), (15943), (function-axioms) are
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15944)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15944) gives:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15945)  all_56_5 = e3 & op(e2, e1) = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15945) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15946)  op(e2, e1) = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (169), (218), (15738), (15783), (15915),
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15946), (function-axioms) are inconsistent by
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #755.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15947)  all_56_10 = e3 & op(e2, e0) = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15947) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15948)  all_56_10 = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15920), (15948) imply:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15949)  e3 = e2
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15915), (15949) imply:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15950)  all_56_14 = e2
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (217), (218),
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (15738), (15790), (15950),
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #977.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15951)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15951) gives:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15952)  all_56_11 = e2 & op(e1, e0) = e2
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15952) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15953)  all_56_11 = e2
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (216),
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (15738), (15953), (function-axioms) are
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #886.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15954)  all_56_15 = e2 & op(e0, e0) = e2
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15954) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15955)  all_56_15 = e2
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13463), (15955) imply:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15956)  e2 = e1
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15956) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15957)  e2 = e1
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (15957) imply:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15958)  $false
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15958) is inconsistent.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (15959)  all_56_15 = e3 & op(e0, e0) = e3
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13463), (15959) are inconsistent by
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #80.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | |   (15960)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15960) gives:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | |   (15961)  all_56_8 = e1 & op(e1, e1) = e1
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15961) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | |   (15962)  op(e1, e1) = e1
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15738), (15962), (function-axioms) are
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | |   (15963)  all_56_14 = e1 & op(e0, e1) = e1
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15963) implies:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | |   (15964)  op(e0, e1) = e1
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (13451), (15964), (function-axioms) are
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1517.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | |   (15965)  all_54_6 = e0
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15755), (15965) imply:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | |   (15966)  all_14_1 = e0
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15762), (15966) imply:
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | |   (15967)  $false
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15967) is inconsistent.
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | |   (15968)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 182.81/28.41  | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 182.81/28.41  | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | BETA: splitting (15968) gives:
% 182.81/28.41  | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | Case 1:
% 182.81/28.41  | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | |   (15969)  all_56_14 = e2 & op(e0, e1) = e2
% 182.81/28.41  | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | REF_CLOSE: (157), (15062), (15969), (function-axioms) are
% 182.81/28.41  | | | | | | | | | | | | |            inconsistent by sub-proof #245.
% 182.81/28.41  | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | |   (15970)  all_56_15 = e2 & op(e0, e0) = e2
% 182.81/28.41  | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | ALPHA: (15970) implies:
% 182.81/28.41  | | | | | | | | | | | | |   (15971)  op(e0, e0) = e2
% 182.81/28.41  | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | | REF_CLOSE: (6), (13464), (15971), (function-axioms) are
% 182.81/28.41  | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 182.81/28.41  | | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | Case 2:
% 182.81/28.41  | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | |   (15972)  all_54_13 = e1 | all_54_13 = e0
% 182.81/28.41  | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | | REF_CLOSE: (263), (13450), (15031), (15972) are inconsistent
% 182.81/28.41  | | | | | | | | | | |            by sub-proof #1311.
% 182.81/28.41  | | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | | 
% 182.81/28.41  | | | | | | | | End of split
% 182.81/28.41  | | | | | | | | 
% 182.81/28.41  | | | | | | | End of split
% 182.81/28.41  | | | | | | | 
% 182.81/28.41  | | | | | | End of split
% 182.81/28.41  | | | | | | 
% 182.81/28.41  | | | | | Case 2:
% 182.81/28.41  | | | | | | 
% 182.81/28.41  | | | | | |   (15973)  all_10_2 = e3
% 182.81/28.41  | | | | | | 
% 182.81/28.41  | | | | | | REDUCE: (362), (15973) imply:
% 182.81/28.41  | | | | | |   (15974)   ~ (all_52_1 = e3)
% 182.81/28.41  | | | | | | 
% 182.81/28.41  | | | | | | REDUCE: (365), (15973) imply:
% 182.81/28.41  | | | | | |   (15975)   ~ (all_52_4 = e3)
% 182.81/28.41  | | | | | | 
% 182.81/28.41  | | | | | | REDUCE: (367), (15973) imply:
% 182.81/28.41  | | | | | |   (15976)   ~ (all_52_6 = e3)
% 182.81/28.41  | | | | | | 
% 182.81/28.41  | | | | | | REDUCE: (369), (15973) imply:
% 182.81/28.41  | | | | | |   (15977)   ~ (all_52_7 = e3)
% 182.81/28.41  | | | | | | 
% 182.81/28.41  | | | | | | REDUCE: (371), (15973) imply:
% 182.81/28.41  | | | | | |   (15978)   ~ (all_52_9 = e3)
% 182.81/28.41  | | | | | | 
% 182.81/28.41  | | | | | | REDUCE: (373), (15973) imply:
% 182.81/28.41  | | | | | |   (15979)   ~ (all_52_13 = e3)
% 182.81/28.41  | | | | | | 
% 182.81/28.41  | | | | | | REDUCE: (45), (15973) imply:
% 182.81/28.41  | | | | | |   (15980)  op(e2, e2) = e3
% 182.81/28.41  | | | | | | 
% 182.81/28.41  | | | | | | BETA: splitting (52) gives:
% 182.81/28.41  | | | | | | 
% 182.81/28.41  | | | | | | Case 1:
% 182.81/28.41  | | | | | | | 
% 182.81/28.41  | | | | | | |   (15981)   ~ (all_14_2 = e2)
% 182.81/28.41  | | | | | | | 
% 182.81/28.41  | | | | | | | BETA: splitting (55) gives:
% 182.81/28.41  | | | | | | | 
% 182.81/28.41  | | | | | | | Case 1:
% 182.81/28.41  | | | | | | | | 
% 182.81/28.41  | | | | | | | |   (15982)   ~ (all_16_2 = e3)
% 182.81/28.41  | | | | | | | | 
% 182.81/28.41  | | | | | | | | REDUCE: (338), (15982) imply:
% 182.81/28.41  | | | | | | | |   (15983)   ~ (all_14_2 = e3)
% 182.81/28.41  | | | | | | | | 
% 182.81/28.41  | | | | | | | | BETA: splitting (58) gives:
% 182.81/28.41  | | | | | | | | 
% 182.81/28.41  | | | | | | | | Case 1:
% 182.81/28.41  | | | | | | | | | 
% 182.81/28.41  | | | | | | | | |   (15984)   ~ (all_18_2 = e1)
% 182.81/28.41  | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | REDUCE: (342), (15984) imply:
% 182.81/28.41  | | | | | | | | |   (15985)   ~ (all_4_2 = e1)
% 182.81/28.41  | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | BETA: splitting (70) gives:
% 182.81/28.41  | | | | | | | | | 
% 182.81/28.41  | | | | | | | | | Case 1:
% 182.81/28.41  | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | |   (15986)   ~ (all_26_2 = e0)
% 182.81/28.42  | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | REDUCE: (318), (15986) imply:
% 182.81/28.42  | | | | | | | | | |   (15987)   ~ (all_14_2 = e0)
% 182.81/28.42  | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | BETA: splitting (238) gives:
% 182.81/28.42  | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | |   (15988)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 182.81/28.42  | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 182.81/28.42  | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (15980), (15988),
% 182.81/28.42  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.42  | | | | | | | | | | |            #285.
% 182.81/28.42  | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | |   (15989)  (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 182.81/28.42  | | | | | | | | | | |              all_57_31 & $i(all_57_31))
% 182.81/28.42  | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | BETA: splitting (15989) gives:
% 182.81/28.42  | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | |   (15990)  all_57_30 = e0 & op(e1, e1) = e0
% 182.81/28.42  | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (15981), (15983), (15987),
% 182.81/28.42  | | | | | | | | | | | |            (15990), (function-axioms) are inconsistent by
% 182.81/28.42  | | | | | | | | | | | |            sub-proof #1616.
% 182.81/28.42  | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | |   (15991)  op(e0, e0) = all_57_31 & $i(all_57_31)
% 182.81/28.42  | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | ALPHA: (15991) implies:
% 182.81/28.42  | | | | | | | | | | | |   (15992)  op(e0, e0) = all_57_31
% 182.81/28.42  | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | BETA: splitting (241) gives:
% 182.81/28.42  | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | |   (15993)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 182.81/28.42  | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 182.81/28.42  | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (15980), (15993),
% 182.81/28.42  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.42  | | | | | | | | | | | | |            #285.
% 182.81/28.42  | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | |   (15994)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 182.81/28.42  | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 182.81/28.42  | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & $i(all_57_18))
% 182.81/28.42  | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | BETA: splitting (15994) gives:
% 182.81/28.42  | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | |   (15995)  all_57_30 = e0 & op(e1, e1) = e0
% 182.81/28.42  | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | REF_CLOSE: (51), (194), (349), (15981), (15983), (15987),
% 182.81/28.42  | | | | | | | | | | | | | |            (15995), (function-axioms) are inconsistent by
% 182.81/28.42  | | | | | | | | | | | | | |            sub-proof #1616.
% 182.81/28.42  | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | |   (15996)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 182.81/28.42  | | | | | | | | | | | | | |              (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 182.81/28.42  | | | | | | | | | | | | | |              $i(all_57_18))
% 182.81/28.42  | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | BETA: splitting (15996) gives:
% 182.81/28.42  | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | |   (15997)  all_57_31 = e0 & op(e0, e0) = e0
% 182.81/28.42  | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | ALPHA: (15997) implies:
% 182.81/28.42  | | | | | | | | | | | | | | |   (15998)  op(e0, e0) = e0
% 182.81/28.42  | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (15998), (function-axioms) are
% 182.81/28.42  | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 182.81/28.42  | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | |   (15999)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 182.81/28.42  | | | | | | | | | | | | | | |            $i(all_57_18)
% 182.81/28.42  | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | ALPHA: (15999) implies:
% 182.81/28.42  | | | | | | | | | | | | | | |   (16000)   ~ (all_57_18 = e3)
% 182.81/28.42  | | | | | | | | | | | | | | |   (16001)  op(e3, e0) = all_57_18
% 182.81/28.42  | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | |   (16002)  all_54_10 = e3
% 182.81/28.42  | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | REF_CLOSE: (349), (15983), (16002) are inconsistent by
% 182.81/28.42  | | | | | | | | | | | | | | | |            sub-proof #1621.
% 182.81/28.42  | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | |   (16003)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 182.81/28.42  | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | |   (16004)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 182.81/28.42  | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 182.81/28.42  | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (15980), (16004),
% 182.81/28.42  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.42  | | | | | | | | | | | | | | | | |            #285.
% 182.81/28.42  | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | |   (16005)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 182.81/28.42  | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 182.81/28.42  | | | | | | | | | | | | | | | | |              op(e2, e0) = all_57_21 & $i(all_57_21))
% 182.81/28.42  | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | BETA: splitting (16005) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | |   (16006)  all_57_30 = e0 & op(e1, e1) = e0
% 182.81/28.42  | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | ALPHA: (16006) implies:
% 182.81/28.42  | | | | | | | | | | | | | | | | | |   (16007)  op(e1, e1) = e0
% 182.81/28.42  | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (15981), (15987), (16003), (16007),
% 182.81/28.42  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.42  | | | | | | | | | | | | | | | | | |            #120.
% 182.81/28.42  | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | |   (16008)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 182.81/28.42  | | | | | | | | | | | | | | | | | |              (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 182.81/28.42  | | | | | | | | | | | | | | | | | |              $i(all_57_21))
% 182.81/28.42  | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | BETA: splitting (16008) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | |   (16009)  all_57_31 = e0 & op(e0, e0) = e0
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | ALPHA: (16009) implies:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | |   (16010)  op(e0, e0) = e0
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (16010), (function-axioms) are
% 182.81/28.42  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | |   (16011)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 182.81/28.42  | | | | | | | | | | | | | | | | | | |            $i(all_57_21)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | ALPHA: (16011) implies:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | |   (16012)   ~ (all_57_21 = e2)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | |   (16013)  op(e2, e0) = all_57_21
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | BETA: splitting (16003) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | |   (16014)  all_54_10 = e2
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (15981), (16014) are inconsistent by
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | |            sub-proof #1620.
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | |   (16015)   ~ (all_54_10 = e2)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | |   (16016)  all_54_10 = e1 | all_54_10 = e0
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | BETA: splitting (16016) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | |   (16017)  all_54_10 = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (16017) imply:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | |   (16018)  all_14_2 = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | SIMP: (16018) implies:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | |   (16019)  all_14_2 = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (16019) imply:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | |   (16020)   ~ (all_52_2 = e1)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (16019) imply:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | |   (16021)   ~ (all_52_8 = e1)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | REDUCE: (15981), (16019) imply:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | |   (16022)   ~ (e2 = e1)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (16019) imply:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | |   (16023)  op(e1, e1) = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | |   (16024)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (15980), (16024),
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | |            #285.
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | |   (16025)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_24 & $i(all_57_24))
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16025) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | |   (16026)  all_57_30 = e0 & op(e1, e1) = e0
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16026) implies:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | |   (16027)  op(e1, e1) = e0
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16023), (16027), (function-axioms) are
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | |   (16028)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24))
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16028) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | |   (16029)  all_57_31 = e0 & op(e0, e0) = e0
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16029) implies:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | |   (16030)  op(e0, e0) = e0
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (16030), (function-axioms) are
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | |   (16031)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16031) implies:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | |   (16032)   ~ (all_57_24 = e1)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | |   (16033)  op(e1, e0) = all_57_24
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | |   (16034)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16034) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16035)  all_56_0 = e1 & op(e3, e3) = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16035) implies:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16036)  op(e3, e3) = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (15985), (16036), (function-axioms) are
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1525.
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16037)  all_56_2 = e1 & op(e2, e3) = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16037) implies:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16038)  all_56_2 = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16039)  op(e2, e3) = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16040)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16040) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16041)  all_56_0 = e1 & op(e3, e3) = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16041) implies:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16042)  op(e3, e3) = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (15985), (16042), (function-axioms) are
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1525.
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16043)  all_56_1 = e1 & op(e3, e2) = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16043) implies:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16044)  all_56_1 = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16045)  op(e3, e2) = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31, e0, e0, simplifying with (13464),
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (15992) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16046)  all_57_31 = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24, e0, e1, simplifying with (160), (16033)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16047)  all_57_24 = all_52_14
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21, e0, e2, simplifying with (164), (16013)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16048)  all_57_21 = all_52_13
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (16039) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16049)  all_52_1 = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_18, e0, e3, simplifying with (168), (16001)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16050)  all_57_18 = all_52_12
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (170), (16045) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16051)  all_52_4 = e1
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16000), (16050) imply:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16052)   ~ (all_52_12 = e3)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16012), (16048) imply:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16053)   ~ (all_52_13 = e2)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (16049) imply:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16054)   ~ (all_52_13 = e1)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (16051) imply:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16055)   ~ (all_52_8 = e1)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (16051) imply:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16056)   ~ (all_52_12 = e1)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (16051) imply:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16057)   ~ (all_4_2 = e1)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15975), (16051) imply:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16058)   ~ (e3 = e1)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16059)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (15979), (16052), (16059),
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #208.
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16060)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16060) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16061)  all_56_11 = e3 & op(e1, e0) = e3
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16061) implies:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16062)  all_56_11 = e3
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16063)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16063) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16064)  all_56_9 = e2 & op(e3, e0) = e2
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16064) implies:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16065)  op(e3, e0) = e2
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16066)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16066) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16067)  all_56_2 = e2 & op(e2, e3) = e2
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16038), (16067) are inconsistent by
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #949.
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16068)  all_56_3 = e2 & op(e2, e2) = e2
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16068) implies:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16069)  op(e2, e2) = e2
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15980), (16069), (function-axioms) are
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16070)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16070) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16071)  all_56_5 = e2 & op(e2, e1) = e2
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16071) implies:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16072)  all_56_5 = e2
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16073)  op(e2, e1) = e2
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16074)  all_54_7 = e3
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (15979), (16074) are inconsistent by
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #797.
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16075)   ~ (all_54_7 = e3)
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16076)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16076) gives:
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16077)  all_54_7 = e2
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (16053), (16077) are inconsistent by
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #795.
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16078)   ~ (all_54_7 = e2)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16079)  all_54_7 = e1 | all_54_7 = e0
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16080)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (16044), (16080),
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1152.
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16081)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16081) gives:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16082)  all_56_4 = e0 & op(e3, e1) = e0
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16082) implies:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16083)  all_56_4 = e0
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16084)  op(e3, e1) = e0
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16085)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16085) gives:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16086)  all_56_0 = e3 & op(e3, e3) = e3
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16086) implies:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16087)  op(e3, e3) = e3
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16079) gives:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16088)  all_54_7 = e1
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (13453), (16088) are inconsistent by
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #947.
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16089)  all_54_7 = e0
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (16089) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16090)  all_52_13 = e0
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16090) implies:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16091)  all_52_13 = e0
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16048), (16091) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16092)  all_57_21 = e0
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (16091) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16093)   ~ (all_52_12 = e0)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (16091) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16094)   ~ (all_52_14 = e0)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16094) implies:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16095)   ~ (all_52_14 = e0)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15979), (16091) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16096)   ~ (e3 = e0)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13453), (16091) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16097)   ~ (e1 = e0)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16098)  all_54_3 = e3
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (16098) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16099)  all_52_12 = e3
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16052), (16099) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16100)  $false
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16100) is inconsistent.
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16101)   ~ (all_54_3 = e3)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16102)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16102) gives:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16103)  all_54_3 = e2
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (16103) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16104)  all_52_12 = e2
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (16104) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16105)   ~ (all_52_8 = e2)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (16104) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16106)   ~ (all_52_14 = e2)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16106) implies:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16107)   ~ (all_52_14 = e2)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (16104) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16108)   ~ (all_4_2 = e2)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16108) implies:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16109)   ~ (all_4_2 = e2)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16052), (16104) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16110)   ~ (e3 = e2)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16111)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15980), (16087), (16111), (function-axioms)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #283.
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16112)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_26 & $i(all_57_26))
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16112) gives:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16113)  all_57_30 = e2 & op(e1, e1) = e2
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16113) implies:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16114)  op(e1, e1) = e2
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (218), (220), (16072),
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16083), (16114), (function-axioms) are
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #932.
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16115)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26))
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16115) gives:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16116)  all_57_31 = e2 & op(e0, e0) = e2
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16116) implies:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16117)  op(e0, e0) = e2
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13464), (16117), (function-axioms) are
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16118)   ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_26)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16118) implies:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16119)   ~ (all_57_26 = e0)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16120)  all_54_0 = e3
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (16120) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16121)  all_4_2 = e3
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (16121) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16122)   ~ (all_52_8 = e3)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16123)  all_54_2 = e3
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (16123) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16124)  all_52_8 = e3
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16122), (16124) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16125)  $false
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16125) is inconsistent.
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16126)   ~ (all_54_2 = e3)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16127)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16127) gives:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16128)  all_54_2 = e2
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (16128) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16129)  all_52_8 = e2
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16105), (16129) imply:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16130)  $false
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16130) is inconsistent.
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16131)  all_54_2 = e1 | all_54_2 = e0
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16132)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16132) gives:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16133)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (286), (15974), (16021), (16122),
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16131), (16133), (function-axioms) are
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #232.
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16134)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16134) gives:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16135)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16135) implies:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16136)  op(e3, e0) = e3
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (168), (193), (265), (13454), (16095),
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16107), (16136), (function-axioms) are
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1080.
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16137)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16137) implies:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16138)   ~ (all_57_29 = e3)
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16139)  op(e2, e2) = all_57_29
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15980), (16138), (16139), (function-axioms) are
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #130.
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16140)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16140) gives:
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16141)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16141) gives:
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16142)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16142) implies:
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16143)   ~ (all_57_7 = e0)
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16144)  op(e2, all_57_21) = all_57_7
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16013), (16092), (16143), (16144),
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #214.
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16145)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_20) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16145) implies:
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16146)  op(e2, e0) = e2
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (16053), (16146), (function-axioms) are
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1562.
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16147)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16147) gives:
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16148)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16148) implies:
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16149)  op(e3, e1) = e1
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16084), (16149), (function-axioms) are
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1571.
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16150)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16150) gives:
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16151)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16151) implies:
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16152)  op(e2, e1) = e1
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16073), (16152), (function-axioms) are
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1148.
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16153)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16153) implies:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16154)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16154) gives:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16155)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16155) implies:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16156)  op(e1, e0) = e1
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16032), (16033), (16156), (function-axioms) are
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1423.
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16157)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16157) implies:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16158)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16158) gives:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16159)  all_57_31 = e0
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (16154), (16159),
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1583.
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16160)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16160) gives:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16161)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16161) implies:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16162)  op(e3, e0) = e0
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16065), (16162), (function-axioms) are
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #113.
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16163)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16163) gives:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16164)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16164) implies:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16165)  all_57_26 = e0
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16119), (16165) imply:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16166)  $false
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16166) is inconsistent.
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16167)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16167) implies:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16168)  op(e1, e0) = e0
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (16095), (16168), (function-axioms) are
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1318.
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16169)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (386), (15985), (16109), (16169) are
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1354.
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16170)  all_54_3 = e1 | all_54_3 = e0
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (13452), (16093), (16170) are inconsistent
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #827.
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16171)  all_56_1 = e3 & op(e3, e2) = e3
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16171) implies:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16172)  op(e3, e2) = e3
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (15975), (16172), (function-axioms) are
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1603.
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16173)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (168), (169), (16052), (16084), (16173),
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #107.
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16174)  all_56_9 = e0 & op(e3, e0) = e0
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16174) implies:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16175)  op(e3, e0) = e0
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16065), (16175), (function-axioms) are
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #113.
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16176)  all_56_10 = e2 & op(e2, e0) = e2
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16176) implies:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16177)  op(e2, e0) = e2
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (16053), (16177), (function-axioms) are
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1562.
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16178)  all_56_10 = e2 & op(e2, e0) = e2
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16178) implies:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16179)  op(e2, e0) = e2
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (16053), (16179), (function-axioms) are
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1562.
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16180)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (13464), (16062), (16180),
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #109.
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16181)  all_56_15 = e3 & op(e0, e0) = e3
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16181) implies:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16182)  op(e0, e0) = e3
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13464), (16182), (function-axioms) are
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16183)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (13452), (16021), (16183),
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #105.
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | |   (16184)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (13449), (16020), (16184),
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | |            #174.
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | |   (16185)  all_54_10 = e0
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (15987), (16185) are inconsistent by
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1618.
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | |   (16186)  all_26_2 = e0
% 182.81/28.45  | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | COMBINE_EQS: (318), (16186) imply:
% 182.81/28.45  | | | | | | | | | |   (16187)  all_14_2 = e0
% 182.81/28.45  | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | SIMP: (16187) implies:
% 182.81/28.45  | | | | | | | | | |   (16188)  all_14_2 = e0
% 182.81/28.45  | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | REDUCE: (363), (16188) imply:
% 182.81/28.45  | | | | | | | | | |   (16189)   ~ (all_52_2 = e0)
% 182.81/28.45  | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | REDUCE: (374), (16188) imply:
% 182.81/28.45  | | | | | | | | | |   (16190)   ~ (all_52_6 = e0)
% 182.81/28.45  | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | REDUCE: (381), (16188) imply:
% 182.81/28.45  | | | | | | | | | |   (16191)   ~ (all_52_14 = e0)
% 182.81/28.45  | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | REDUCE: (15983), (16188) imply:
% 182.81/28.45  | | | | | | | | | |   (16192)   ~ (e3 = e0)
% 182.81/28.45  | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | REDUCE: (15981), (16188) imply:
% 182.81/28.45  | | | | | | | | | |   (16193)   ~ (e2 = e0)
% 182.81/28.45  | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | REDUCE: (51), (16188) imply:
% 182.81/28.45  | | | | | | | | | |   (16194)  op(e1, e1) = e0
% 182.81/28.45  | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | BETA: splitting (76) gives:
% 182.81/28.45  | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | Case 1:
% 182.81/28.45  | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | |   (16195)   ~ (all_30_2 = e2)
% 182.81/28.45  | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | REDUCE: (343), (16195) imply:
% 182.81/28.45  | | | | | | | | | | |   (16196)   ~ (all_4_2 = e2)
% 182.81/28.45  | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | BETA: splitting (204) gives:
% 182.81/28.45  | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | Case 1:
% 182.81/28.45  | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | |   (16197)  all_54_0 = e3
% 182.81/28.45  | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | COMBINE_EQS: (294), (16197) imply:
% 182.81/28.45  | | | | | | | | | | | |   (16198)  all_4_2 = e3
% 182.81/28.45  | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | REDUCE: (361), (16198) imply:
% 182.81/28.45  | | | | | | | | | | | |   (16199)   ~ (all_52_12 = e3)
% 182.81/28.45  | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | REDUCE: (36), (16198) imply:
% 182.81/28.45  | | | | | | | | | | | |   (16200)  op(e3, e3) = e3
% 182.81/28.45  | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (125), (126),
% 182.81/28.45  | | | | | | | | | | | |            (128), (157), (158), (159), (160), (162), (164),
% 182.81/28.45  | | | | | | | | | | | |            (168), (191), (195), (209), (212), (229), (231),
% 182.81/28.45  | | | | | | | | | | | |            (233), (246), (247), (248), (249), (263), (273),
% 182.81/28.45  | | | | | | | | | | | |            (386), (13449), (13450), (13464), (15977),
% 182.81/28.45  | | | | | | | | | | | |            (15979), (15980), (16190), (16194), (16199),
% 182.81/28.45  | | | | | | | | | | | |            (16200), (function-axioms) are inconsistent by
% 182.81/28.45  | | | | | | | | | | | |            sub-proof #60.
% 182.81/28.45  | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | |   (16201)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 182.81/28.45  | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | REF_CLOSE: (294), (386), (15985), (16196), (16201) are
% 182.81/28.45  | | | | | | | | | | | |            inconsistent by sub-proof #1354.
% 182.81/28.45  | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | End of split
% 182.81/28.45  | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | |   (16202)  all_30_2 = e2
% 182.81/28.45  | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | COMBINE_EQS: (343), (16202) imply:
% 182.81/28.45  | | | | | | | | | | |   (16203)  all_4_2 = e2
% 182.81/28.45  | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | SIMP: (16203) implies:
% 182.81/28.45  | | | | | | | | | | |   (16204)  all_4_2 = e2
% 182.81/28.45  | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | REDUCE: (351), (16204) imply:
% 182.81/28.45  | | | | | | | | | | |   (16205)   ~ (all_52_1 = e2)
% 182.81/28.45  | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | REDUCE: (353), (16204) imply:
% 182.81/28.45  | | | | | | | | | | |   (16206)   ~ (all_52_2 = e2)
% 182.81/28.45  | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | REDUCE: (36), (16204) imply:
% 182.81/28.45  | | | | | | | | | | |   (16207)  op(e3, e3) = e2
% 182.81/28.45  | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | BETA: splitting (197) gives:
% 182.81/28.45  | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | Case 1:
% 182.81/28.45  | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | |   (16208)  all_54_7 = e3
% 182.81/28.45  | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | REF_CLOSE: (275), (15979), (16208) are inconsistent by
% 182.81/28.45  | | | | | | | | | | | |            sub-proof #797.
% 182.81/28.45  | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | Case 2:
% 182.81/28.45  | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | |   (16209)   ~ (all_54_7 = e3)
% 182.81/28.45  | | | | | | | | | | | |   (16210)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 182.81/28.45  | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | BETA: splitting (193) gives:
% 182.81/28.45  | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | Case 1:
% 182.81/28.45  | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | |   (16211)  all_54_11 = e3
% 182.81/28.45  | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | COMBINE_EQS: (265), (16211) imply:
% 182.81/28.45  | | | | | | | | | | | | |   (16212)  all_52_14 = e3
% 182.81/28.45  | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | SIMP: (16212) implies:
% 182.81/28.45  | | | | | | | | | | | | |   (16213)  all_52_14 = e3
% 182.81/28.45  | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | REDUCE: (141), (16213) imply:
% 182.81/28.45  | | | | | | | | | | | | |   (16214)   ~ (all_52_2 = e3)
% 182.81/28.45  | | | | | | | | | | | | | 
% 182.81/28.45  | | | | | | | | | | | | | REDUCE: (112), (16213) imply:
% 182.81/28.45  | | | | | | | | | | | | |   (16215)   ~ (all_52_12 = e3)
% 182.81/28.46  | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | BETA: splitting (235) gives:
% 182.81/28.46  | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | Case 1:
% 182.81/28.46  | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | |   (16216)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 182.81/28.46  | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 182.81/28.46  | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | BETA: splitting (16216) gives:
% 182.81/28.46  | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | Case 1:
% 182.81/28.46  | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | |   (16217)  all_56_0 = e3 & op(e3, e3) = e3
% 182.81/28.46  | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | ALPHA: (16217) implies:
% 182.81/28.46  | | | | | | | | | | | | | | |   (16218)  op(e3, e3) = e3
% 182.81/28.46  | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (125), (126),
% 182.81/28.46  | | | | | | | | | | | | | | |            (128), (157), (158), (159), (160), (162), (164),
% 182.81/28.46  | | | | | | | | | | | | | | |            (168), (191), (195), (209), (212), (229), (231),
% 182.81/28.46  | | | | | | | | | | | | | | |            (233), (246), (247), (248), (249), (263), (273),
% 182.81/28.46  | | | | | | | | | | | | | | |            (386), (13449), (13450), (13464), (15977),
% 182.81/28.46  | | | | | | | | | | | | | | |            (15979), (15980), (16190), (16194), (16215),
% 182.81/28.46  | | | | | | | | | | | | | | |            (16218), (function-axioms) are inconsistent by
% 182.81/28.46  | | | | | | | | | | | | | | |            sub-proof #60.
% 182.81/28.46  | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | Case 2:
% 182.81/28.46  | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | |   (16219)  all_56_2 = e3 & op(e2, e3) = e3
% 182.81/28.46  | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | ALPHA: (16219) implies:
% 182.81/28.46  | | | | | | | | | | | | | | |   (16220)  op(e2, e3) = e3
% 182.81/28.46  | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | REF_CLOSE: (167), (15974), (16220), (function-axioms) are
% 182.81/28.46  | | | | | | | | | | | | | | |            inconsistent by sub-proof #286.
% 182.81/28.46  | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | End of split
% 182.81/28.46  | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | Case 2:
% 182.81/28.46  | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | |   (16221)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 182.81/28.46  | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 182.81/28.46  | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | BETA: splitting (16221) gives:
% 182.81/28.46  | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | Case 1:
% 182.81/28.46  | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | |   (16222)  all_56_6 = e3 & op(e1, e3) = e3
% 182.81/28.46  | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | ALPHA: (16222) implies:
% 182.81/28.46  | | | | | | | | | | | | | | |   (16223)  op(e1, e3) = e3
% 182.81/28.46  | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | REF_CLOSE: (163), (16214), (16223), (function-axioms) are
% 182.81/28.46  | | | | | | | | | | | | | | |            inconsistent by sub-proof #855.
% 182.81/28.46  | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | Case 2:
% 182.81/28.46  | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | |   (16224)  all_56_12 = e3 & op(e0, e3) = e3
% 182.81/28.46  | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | ALPHA: (16224) implies:
% 182.81/28.46  | | | | | | | | | | | | | | |   (16225)  op(e0, e3) = e3
% 182.81/28.46  | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 182.81/28.46  | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | Case 1:
% 182.81/28.46  | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | |   (16226)  all_54_8 = e3
% 182.81/28.46  | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | REF_CLOSE: (274), (16214), (16226) are inconsistent by
% 182.81/28.46  | | | | | | | | | | | | | | | |            sub-proof #1243.
% 182.81/28.46  | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | Case 2:
% 182.81/28.46  | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | |   (16227)   ~ (all_54_8 = e3)
% 182.81/28.46  | | | | | | | | | | | | | | | |   (16228)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 182.81/28.46  | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | BETA: splitting (16228) gives:
% 182.81/28.46  | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.46  | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | |   (16229)  all_54_8 = e2
% 182.81/28.46  | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (16206), (16229) are inconsistent by
% 182.81/28.46  | | | | | | | | | | | | | | | | |            sub-proof #1240.
% 182.81/28.46  | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.46  | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | |   (16230)  all_54_8 = e1 | all_54_8 = e0
% 182.81/28.46  | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | BETA: splitting (16230) gives:
% 182.81/28.46  | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | |   (16231)  all_54_8 = e1
% 182.81/28.46  | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (16231) imply:
% 182.81/28.46  | | | | | | | | | | | | | | | | | |   (16232)  all_52_2 = e1
% 182.81/28.46  | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | SIMP: (16232) implies:
% 182.81/28.46  | | | | | | | | | | | | | | | | | |   (16233)  all_52_2 = e1
% 182.81/28.46  | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | REDUCE: (149), (16233) imply:
% 182.81/28.46  | | | | | | | | | | | | | | | | | |   (16234)   ~ (all_52_1 = e1)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | REDUCE: (143), (16233) imply:
% 182.81/28.46  | | | | | | | | | | | | | | | | | |   (16235)   ~ (all_52_6 = e1)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | SIMP: (16235) implies:
% 182.81/28.46  | | | | | | | | | | | | | | | | | |   (16236)   ~ (all_52_6 = e1)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | REDUCE: (16214), (16233) imply:
% 182.81/28.46  | | | | | | | | | | | | | | | | | |   (16237)   ~ (e3 = e1)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | |   (16238)  all_54_4 = e3
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (15974), (16238) are inconsistent by
% 182.81/28.46  | | | | | | | | | | | | | | | | | | |            sub-proof #1078.
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | |   (16239)   ~ (all_54_4 = e3)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | |   (16240)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | |   (16241)  all_54_9 = e3
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (15976), (16241) are inconsistent by
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | |   (16242)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | |   (16243)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (15980), (16234), (16243),
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | |            #613.
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | |   (16244)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16244) gives:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | |   (16245)  all_56_5 = e1 & op(e2, e1) = e1
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16245) implies:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | |   (16246)  op(e2, e1) = e1
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16242) gives:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | |   (16247)  all_54_9 = e2
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (16247) imply:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | |   (16248)  all_52_6 = e2
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16248) implies:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | |   (16249)  all_52_6 = e2
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (16249) imply:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | |   (16250)   ~ (all_52_7 = e2)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16250) implies:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | |   (16251)   ~ (all_52_7 = e2)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | |   (16252)  all_56_15 = e0 & op(e0, e0) = e0
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16252) implies:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | |   (16253)  op(e0, e0) = e0
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (16253), (function-axioms) are
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | |   (16254)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16254) implies:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | |   (16255)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16240) gives:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (16256)  all_54_4 = e2
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (16205), (16256) are inconsistent by
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1084.
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (16257)   ~ (all_54_4 = e2)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (16258)  all_54_4 = e1 | all_54_4 = e0
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16258) gives:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16259)  all_54_4 = e1
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (16234), (16259) are inconsistent by
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1083.
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16260)  all_54_4 = e0
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (16260) imply:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16261)  all_52_1 = e0
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16261) implies:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16262)  all_52_1 = e0
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (16262) imply:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16263)   ~ (all_52_9 = e0)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16263) implies:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16264)   ~ (all_52_9 = e0)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (16262) imply:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16265)   ~ (all_52_13 = e0)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16265) implies:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16266)   ~ (all_52_13 = e0)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (16262) imply:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16267)  op(e2, e3) = e0
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16268)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16268) gives:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16269)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16269) gives:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16270)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16270) implies:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16271)  op(e2, e3) = e3
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (284), (15974), (16234), (16258), (16271),
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1082.
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16272)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16272) implies:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16273)  op(e1, e3) = e3
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (141), (163), (193), (197), (265), (275),
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (13453), (13454), (15979), (16191), (16266),
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16273), (function-axioms) are inconsistent by
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #263.
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 182.81/28.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 182.81/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16274)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16274) gives:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16275)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16275) implies:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16276)  op(e3, e0) = e3
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (164), (16191), (16255), (16266),
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16276), (function-axioms) are inconsistent by
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #730.
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16277)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16277) implies:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16278)  op(e2, e3) = e2
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16267), (16278), (function-axioms) are
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1412.
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16279)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16279) gives:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16280)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (158), (16246), (16251), (16280),
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #864.
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16281)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16281) gives:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16282)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16282) implies:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16283)  op(e3, e1) = e1
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16210) gives:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16284)  all_54_7 = e2
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (16284) imply:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16285)  all_52_13 = e2
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16285) implies:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16286)  all_52_13 = e2
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (16286) imply:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16287)   ~ (all_52_9 = e2)
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16288)  all_54_6 = e3
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (15978), (16288) are inconsistent by
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1242.
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16289)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (123), (169), (276), (16264), (16283), (16287),
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16289), (function-axioms) are inconsistent by
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #59.
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16290)  all_54_7 = e1 | all_54_7 = e0
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (165), (275), (16246), (16266), (16290),
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #794.
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16291)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16291) gives:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16292)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16292) implies:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16293)  op(e1, e2) = e1
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (16236), (16293), (function-axioms) are
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #834.
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16294)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16294) implies:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16295)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16295) gives:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16296)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16296) implies:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16297)  op(e1, e0) = e1
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (16297), (function-axioms) are
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1609.
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16298)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16298) implies:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16299)  op(e0, e3) = all_57_25
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16300)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16300) gives:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16301)  all_57_31 = e0
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13454), (16295), (16301),
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1583.
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16302)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16302) gives:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16303)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16303) implies:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16304)  all_57_25 = e0
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16299), (16304) imply:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16305)  op(e0, e3) = e0
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16225), (16305), (function-axioms) are
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #125.
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16306)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (16191), (16266), (16306),
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1317.
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | |   (16307)  all_54_9 = e1 | all_54_9 = e0
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (16190), (16236), (16307) are inconsistent
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1320.
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | |   (16308)  all_56_10 = e1 & op(e2, e0) = e1
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16308) implies:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | |   (16309)  op(e2, e0) = e1
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13453), (16309), (function-axioms) are
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1273.
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | |   (16310)  all_54_8 = e0
% 183.16/28.48  | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (16189), (16310) are inconsistent by
% 183.16/28.48  | | | | | | | | | | | | | | | | | |            sub-proof #1236.
% 183.16/28.48  | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | End of split
% 183.16/28.48  | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | Case 2:
% 183.16/28.48  | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | |   (16311)   ~ (all_54_11 = e3)
% 183.16/28.48  | | | | | | | | | | | | |   (16312)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 183.16/28.48  | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | REDUCE: (265), (16311) imply:
% 183.16/28.48  | | | | | | | | | | | | |   (16313)   ~ (all_52_14 = e3)
% 183.16/28.48  | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | BETA: splitting (16312) gives:
% 183.16/28.48  | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | Case 1:
% 183.16/28.48  | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | |   (16314)  all_54_11 = e2
% 183.16/28.48  | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | COMBINE_EQS: (265), (16314) imply:
% 183.16/28.48  | | | | | | | | | | | | | |   (16315)  all_52_14 = e2
% 183.16/28.48  | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | SIMP: (16315) implies:
% 183.16/28.48  | | | | | | | | | | | | | |   (16316)  all_52_14 = e2
% 183.16/28.48  | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | REDUCE: (126), (16316) imply:
% 183.16/28.48  | | | | | | | | | | | | | |   (16317)   ~ (all_52_6 = e2)
% 183.16/28.48  | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | REDUCE: (112), (16316) imply:
% 183.16/28.48  | | | | | | | | | | | | | |   (16318)   ~ (all_52_12 = e2)
% 183.16/28.48  | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | REDUCE: (110), (16316) imply:
% 183.16/28.48  | | | | | | | | | | | | | |   (16319)   ~ (all_52_13 = e2)
% 183.16/28.48  | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | REDUCE: (16313), (16316) imply:
% 183.16/28.48  | | | | | | | | | | | | | |   (16320)   ~ (e3 = e2)
% 183.16/28.48  | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | REDUCE: (160), (16316) imply:
% 183.16/28.48  | | | | | | | | | | | | | |   (16321)  op(e1, e0) = e2
% 183.16/28.48  | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 183.16/28.48  | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | Case 1:
% 183.16/28.48  | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | |   (16322)  all_54_9 = e3
% 183.16/28.48  | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | REF_CLOSE: (273), (15976), (16322) are inconsistent by
% 183.16/28.48  | | | | | | | | | | | | | | |            sub-proof #1061.
% 183.16/28.48  | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | Case 2:
% 183.16/28.48  | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | |   (16323)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 183.16/28.48  | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 183.16/28.48  | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | Case 1:
% 183.16/28.48  | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | |   (16324)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 183.16/28.48  | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 183.16/28.48  | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | BETA: splitting (16324) gives:
% 183.16/28.48  | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.48  | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | |   (16325)  all_56_2 = e2 & op(e2, e3) = e2
% 183.16/28.48  | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | ALPHA: (16325) implies:
% 183.16/28.48  | | | | | | | | | | | | | | | | |   (16326)  all_56_2 = e2
% 183.16/28.48  | | | | | | | | | | | | | | | | |   (16327)  op(e2, e3) = e2
% 183.16/28.48  | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 183.16/28.48  | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | |   (16328)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 183.16/28.48  | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e0)
% 183.16/28.48  | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (386), (16327), (16328),
% 183.16/28.48  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.48  | | | | | | | | | | | | | | | | | |            #1181.
% 183.16/28.48  | | | | | | | | | | | | | | | | | | 
% 183.16/28.48  | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.48  | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | |   (16329)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 183.16/28.49  | | | | | | | | | | | | | | | | | |              e0 & op(e0, e3) = e0)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | BETA: splitting (16329) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | |   (16330)  all_56_6 = e0 & op(e1, e3) = e0
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (16189), (16330), (function-axioms) are
% 183.16/28.49  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1197.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | |   (16331)  all_56_12 = e0 & op(e0, e3) = e0
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | ALPHA: (16331) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | |   (16332)  all_56_12 = e0
% 183.16/28.49  | | | | | | | | | | | | | | | | | | |   (16333)  op(e0, e3) = e0
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | |   (16334)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (15974), (16207), (16334),
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | |            #265.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | |   (16335)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | BETA: splitting (16335) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | |   (16336)  all_56_6 = e3 & op(e1, e3) = e3
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | ALPHA: (16336) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | |   (16337)  all_56_6 = e3
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | |   (16338)  op(e1, e3) = e3
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | |   (16339)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16339) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | |   (16340)  all_56_9 = e3 & op(e3, e0) = e3
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16340) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | |   (16341)  op(e3, e0) = e3
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | |   (16342)  all_56_15 = e0 & op(e0, e0) = e0
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16342) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | |   (16343)  op(e0, e0) = e0
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (16343), (function-axioms) are
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | |   (16344)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16344) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | |   (16345)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | |   (16346)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16346) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16347)  all_56_2 = e1 & op(e2, e3) = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16326), (16347) are inconsistent by
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1416.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16348)  all_56_3 = e1 & op(e2, e2) = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16348) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16349)  op(e2, e2) = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15980), (16349), (function-axioms) are
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | |   (16350)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16350) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16351)  all_56_5 = e1 & op(e2, e1) = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16351) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16352)  op(e2, e1) = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16353)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (164), (169),
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (230), (232), (236), (386), (16207), (16319),
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16353), (function-axioms) are inconsistent by
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1561.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16354)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16354) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16355)  all_56_11 = e2 & op(e1, e0) = e2
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16355) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16356)  all_56_11 = e2
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16357)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e1)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16357) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16358)  all_56_6 = e1 & op(e1, e3) = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16358) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16359)  all_56_6 = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (16207), (16326), (16332),
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16359), (function-axioms) are inconsistent by
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #480.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16360)  all_56_7 = e1 & op(e1, e2) = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16360) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16361)  all_56_7 = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16323) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16362)  all_54_9 = e2
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (16317), (16362) are inconsistent by
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1323.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16363)   ~ (all_54_9 = e2)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16364)  all_54_9 = e1 | all_54_9 = e0
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16210) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16365)  all_54_7 = e2
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (16365) imply:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16366)  all_52_13 = e2
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16319), (16366) imply:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16367)  $false
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16367) is inconsistent.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16368)   ~ (all_54_7 = e2)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16369)  all_54_7 = e1 | all_54_7 = e0
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16369) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16370)  all_54_7 = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (16370) imply:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16371)  all_52_13 = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13453), (16371) imply:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16372)  $false
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16372) is inconsistent.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16373)  all_54_7 = e0
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (16373) imply:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16374)  all_52_13 = e0
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (16374) imply:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16375)   ~ (all_52_1 = e0)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (16374) imply:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16376)   ~ (all_52_12 = e0)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13453), (16374) imply:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16377)   ~ (e1 = e0)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16378)  all_54_3 = e3
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (16378) imply:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16379)  all_52_12 = e3
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16379) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16380)  all_52_12 = e3
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (16380) imply:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16381)   ~ (all_52_8 = e3)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16382)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16382) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16383)  all_56_4 = e3 & op(e3, e1) = e3
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16383) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16384)  op(e3, e1) = e3
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (16381), (16384), (function-axioms) are
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16385)  all_56_5 = e3 & op(e2, e1) = e3
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16385) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16386)  op(e2, e1) = e3
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16352), (16386), (function-axioms) are
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16387)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16387) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16388)  all_56_8 = e3 & op(e1, e1) = e3
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16388) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16389)  all_56_8 = e3
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16390)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16390) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16391)  all_56_6 = e0 & op(e1, e3) = e0
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16391) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16392)  all_56_6 = e0
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16337), (16392) are inconsistent by
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1556.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16393)  all_56_7 = e0 & op(e1, e2) = e0
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (16190), (16393), (function-axioms) are
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1199.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16394)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16394) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16395)  all_56_8 = e0 & op(e1, e1) = e0
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16389), (16395) are inconsistent by
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #418.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16396)  all_56_11 = e0 & op(e1, e0) = e0
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16356), (16396) are inconsistent by
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1451.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16397)  all_56_14 = e3 & op(e0, e1) = e3
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16397) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16398)  all_56_14 = e3
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16399)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16399) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16400)  all_56_4 = e2 & op(e3, e1) = e2
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16400) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16401)  all_56_4 = e2
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16402)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16402) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16403)  all_56_0 = e1 & op(e3, e3) = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16403) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16404)  op(e3, e3) = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16207), (16404), (function-axioms) are
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1582.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16405)  all_56_1 = e1 & op(e3, e2) = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16405) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16406)  all_56_1 = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16407)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e0)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (36), (386), (16406), (16407),
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1580.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16408)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (16341), (16401), (16408),
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #79.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16409)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16409) gives:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16410)  all_56_4 = e1 & op(e3, e1) = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16401), (16410) are inconsistent by
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1127.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16411)  all_56_9 = e1 & op(e3, e0) = e1
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (13452), (16411), (function-axioms) are
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #121.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16412)  all_56_5 = e2 & op(e2, e1) = e2
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16412) implies:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16413)  op(e2, e1) = e2
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (120), (143), (149), (160), (162),
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (164), (167), (169), (196), (201), (208),
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (231), (235), (254), (273), (274), (285),
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (13452), (13454), (13464), (15980),
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16189), (16190), (16206), (16207), (16317),
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16318), (16319), (16364), (16375), (16376),
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16398), (16413), (function-axioms) are
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #58.
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16414)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16414) gives:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16415)  all_56_8 = e2 & op(e1, e1) = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16415) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16416)  op(e1, e1) = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (216),
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16356), (16361), (16416), (function-axioms) are
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #887.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16417)  all_56_14 = e2 & op(e0, e1) = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16417) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16418)  all_56_14 = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16398), (16418) imply:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16419)  e3 = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16419) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16420)  e3 = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16337), (16420) imply:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16421)  all_56_6 = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (231), (235), (16207),
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16332), (16333), (16421), (function-axioms) are
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #445.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16422)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (13452), (16318), (16376), (16422) are
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16423)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e1, e0) = e1)
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16423) gives:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16424)  all_56_8 = e1 & op(e1, e1) = e1
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16424) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16425)  op(e1, e1) = e1
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (162), (213), (16190), (16338),
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16356), (16425), (function-axioms) are
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1109.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16426)  all_56_11 = e1 & op(e1, e0) = e1
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16426) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16427)  all_56_11 = e1
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (162), (215), (16194), (16317),
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16337), (16427), (function-axioms) are
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1228.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16428)  all_56_15 = e2 & op(e0, e0) = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16428) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16429)  op(e0, e0) = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13464), (16429), (function-axioms) are
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16430)  all_56_10 = e1 & op(e2, e0) = e1
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16430) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16431)  all_56_10 = e1
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (160), (16191), (16341), (16345),
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | |            (16431), (function-axioms) are inconsistent by
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1182.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | |   (16432)  all_56_10 = e3 & op(e2, e0) = e3
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (15979), (16432), (function-axioms) are
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #209.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | |   (16433)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (13464), (16313), (16433),
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | |            #57.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | |   (16434)  all_56_12 = e3 & op(e0, e3) = e3
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | ALPHA: (16434) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | |   (16435)  op(e0, e3) = e3
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (229),
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | |            (231), (235), (386), (16207), (16326), (16435),
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | |            #237.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | |   (16436)  all_56_3 = e2 & op(e2, e2) = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | ALPHA: (16436) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | |   (16437)  op(e2, e2) = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15980), (16437), (function-axioms) are
% 183.16/28.50  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 183.16/28.50  | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | |   (16438)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 183.16/28.50  | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 183.16/28.50  | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | BETA: splitting (16438) gives:
% 183.16/28.50  | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.50  | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | |   (16439)  all_56_5 = e2 & op(e2, e1) = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | ALPHA: (16439) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | |   (16440)  op(e2, e1) = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 183.16/28.50  | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | |   (16441)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 183.16/28.50  | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e1)
% 183.16/28.50  | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | BETA: splitting (16441) gives:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | |   (16442)  all_56_4 = e1 & op(e3, e1) = e1
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | ALPHA: (16442) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | |   (16443)  all_56_4 = e1
% 183.16/28.50  | | | | | | | | | | | | | | | | | | |   (16444)  op(e3, e1) = e1
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | |   (16445)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (15975), (16207), (16445),
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | |            #259.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | |   (16446)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | BETA: splitting (16446) gives:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | |   (16447)  all_56_4 = e3 & op(e3, e1) = e3
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16443), (16447) are inconsistent by
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | |            sub-proof #987.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | |   (16448)  all_56_9 = e3 & op(e3, e0) = e3
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | ALPHA: (16448) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | |   (16449)  all_56_9 = e3
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13447) gives:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | |   (16450)   ~ (all_6_0 = e3) & op(e1, e1) = all_6_0 &
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | |            $i(all_6_0)
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16450) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | |   (16451)   ~ (all_6_0 = e3)
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | |   (16452)  op(e1, e1) = all_6_0
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16210) gives:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | |   (16453)  all_54_7 = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (16319), (16453) are inconsistent by
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #795.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | |   (16454)   ~ (all_54_7 = e2)
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | |   (16455)  all_54_7 = e1 | all_54_7 = e0
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16323) gives:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | |   (16456)  all_54_9 = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (16456) imply:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | |   (16457)  all_52_6 = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16317), (16457) imply:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | |   (16458)  $false
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16458) is inconsistent.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | |   (16459)   ~ (all_54_9 = e2)
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | |   (16460)  all_54_9 = e1 | all_54_9 = e0
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16455) gives:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (16461)  all_54_7 = e1
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (13453), (16461) are inconsistent by
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #947.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (16462)  all_54_7 = e0
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (16462) imply:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (16463)  all_52_13 = e0
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16463) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (16464)  all_52_13 = e0
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (16464) imply:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (16465)   ~ (all_52_1 = e0)
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (16464) imply:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (16466)   ~ (all_52_12 = e0)
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13453), (16464) imply:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (16467)   ~ (e1 = e0)
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16468)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16468) gives:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16469)  all_56_4 = e3 & op(e3, e1) = e3
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16469) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16470)  all_56_4 = e3
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16443), (16470) imply:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16471)  e3 = e1
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16471) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16472)  e3 = e1
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16449), (16472) imply:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16473)  all_56_9 = e1
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (36), (230), (236), (386),
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16207), (16443), (16444), (16473),
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1149.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16474)  all_56_5 = e3 & op(e2, e1) = e3
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16474) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16475)  op(e2, e1) = e3
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (15978), (16475), (function-axioms) are
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16476)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16476) gives:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16477)  all_56_8 = e3 & op(e1, e1) = e3
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16477) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16478)  op(e1, e1) = e3
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16451), (16452), (16478), (function-axioms) are
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #118.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16479)  all_56_14 = e3 & op(e0, e1) = e3
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16479) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16480)  all_56_14 = e3
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (120), (143), (149), (160), (162),
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (164), (167), (169), (196), (201), (208),
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229), (231), (235), (254), (273), (274), (285),
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (13452), (13454), (13464), (15980),
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16189), (16190), (16206), (16207), (16317),
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16318), (16319), (16440), (16460), (16465),
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16466), (16480), (function-axioms) are
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #58.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | |   (16481)   ~ (all_6_1 = e2) & op(e1, e0) = all_6_1 &
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | |            $i(all_6_1)
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16481) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | |   (16482)   ~ (all_6_1 = e2)
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | |   (16483)  op(e1, e0) = all_6_1
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_6_1,
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | |              e0, e1, simplifying with (16321), (16483) gives:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | |   (16484)  all_6_1 = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16482), (16484) imply:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | |   (16485)  $false
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16485) is inconsistent.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | |   (16486)  all_56_5 = e1 & op(e2, e1) = e1
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | ALPHA: (16486) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | |   (16487)  op(e2, e1) = e1
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16440), (16487), (function-axioms) are
% 183.16/28.50  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1148.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | |   (16488)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 183.16/28.50  | | | | | | | | | | | | | | | | | |              e1 & op(e0, e1) = e1)
% 183.16/28.50  | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (13451), (16194), (16488),
% 183.16/28.50  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.50  | | | | | | | | | | | | | | | | | |            #100.
% 183.16/28.50  | | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | |   (16489)  all_56_10 = e2 & op(e2, e0) = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | ALPHA: (16489) implies:
% 183.16/28.50  | | | | | | | | | | | | | | | | |   (16490)  op(e2, e0) = e2
% 183.16/28.50  | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (16319), (16490), (function-axioms) are
% 183.16/28.50  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1562.
% 183.16/28.50  | | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | |   (16491)  all_54_11 = e1 | all_54_11 = e0
% 183.16/28.50  | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | | REF_CLOSE: (265), (13454), (16191), (16491) are inconsistent
% 183.16/28.50  | | | | | | | | | | | | | |            by sub-proof #1113.
% 183.16/28.50  | | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | End of split
% 183.16/28.50  | | | | | | | | | 
% 183.16/28.50  | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | 
% 183.16/28.50  | | | | | | | | |   (16492)  all_18_2 = e1
% 183.16/28.50  | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | COMBINE_EQS: (342), (16492) imply:
% 183.16/28.50  | | | | | | | | |   (16493)  all_4_2 = e1
% 183.16/28.50  | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | SIMP: (16493) implies:
% 183.16/28.50  | | | | | | | | |   (16494)  all_4_2 = e1
% 183.16/28.50  | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | REDUCE: (36), (16494) imply:
% 183.16/28.50  | | | | | | | | |   (16495)  op(e3, e3) = e1
% 183.16/28.50  | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | BETA: splitting (246) gives:
% 183.16/28.50  | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | Case 1:
% 183.16/28.50  | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | |   (16496)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 183.16/28.50  | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 183.16/28.50  | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | REF_CLOSE: (6), (9), (15980), (16495), (16496),
% 183.16/28.50  | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.50  | | | | | | | | | |            #250.
% 183.16/28.50  | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | |   (16497)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 183.16/28.50  | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 183.16/28.50  | | | | | | | | | |              op(e2, e2) = all_57_29 & $i(all_57_29))
% 183.16/28.50  | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | BETA: splitting (16497) gives:
% 183.16/28.50  | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | Case 1:
% 183.16/28.50  | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | |   (16498)  all_57_30 = e2 & op(e1, e1) = e2
% 183.16/28.50  | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | ALPHA: (16498) implies:
% 183.16/28.50  | | | | | | | | | | |   (16499)  op(e1, e1) = e2
% 183.16/28.50  | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | | REF_CLOSE: (51), (15981), (16499), (function-axioms) are
% 183.16/28.50  | | | | | | | | | | |            inconsistent by sub-proof #422.
% 183.16/28.50  | | | | | | | | | | | 
% 183.16/28.50  | | | | | | | | | | Case 2:
% 183.16/28.50  | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | |   (16500)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 183.16/28.51  | | | | | | | | | | |              (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 183.16/28.51  | | | | | | | | | | |              $i(all_57_29))
% 183.16/28.51  | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | BETA: splitting (16500) gives:
% 183.16/28.51  | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | |   (16501)  all_57_31 = e2 & op(e0, e0) = e2
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | ALPHA: (16501) implies:
% 183.16/28.51  | | | | | | | | | | | |   (16502)  op(e0, e0) = e2
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | REF_CLOSE: (6), (13464), (16502), (function-axioms) are
% 183.16/28.51  | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | |   (16503)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 183.16/28.51  | | | | | | | | | | | |            $i(all_57_29)
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | ALPHA: (16503) implies:
% 183.16/28.51  | | | | | | | | | | | |   (16504)   ~ (all_57_29 = e2)
% 183.16/28.51  | | | | | | | | | | | |   (16505)  op(e2, e2) = all_57_29
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | BETA: splitting (226) gives:
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | |   (16506)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 183.16/28.51  | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (169), (230),
% 183.16/28.51  | | | | | | | | | | | | |            (234), (236), (386), (15980), (16495), (16506),
% 183.16/28.51  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.51  | | | | | | | | | | | | |            #610.
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | |   (16507)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 183.16/28.51  | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | BETA: splitting (16507) gives:
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | |   (16508)  all_56_7 = e1 & op(e1, e2) = e1
% 183.16/28.51  | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | ALPHA: (16508) implies:
% 183.16/28.51  | | | | | | | | | | | | | |   (16509)  op(e1, e2) = e1
% 183.16/28.51  | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 183.16/28.51  | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | |   (16510)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 183.16/28.51  | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 183.16/28.51  | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | REF_CLOSE: (6), (16495), (16504), (16505), (16510),
% 183.16/28.51  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.51  | | | | | | | | | | | | | | |            #779.
% 183.16/28.51  | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | |   (16511)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 183.16/28.51  | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 183.16/28.51  | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & $i(all_57_23))
% 183.16/28.51  | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | BETA: splitting (16511) gives:
% 183.16/28.51  | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | |   (16512)  all_57_30 = e2 & op(e1, e1) = e2
% 183.16/28.51  | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | ALPHA: (16512) implies:
% 183.16/28.51  | | | | | | | | | | | | | | | |   (16513)  op(e1, e1) = e2
% 183.16/28.51  | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | REF_CLOSE: (51), (15981), (16513), (function-axioms) are
% 183.16/28.51  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 183.16/28.51  | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | |   (16514)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 183.16/28.51  | | | | | | | | | | | | | | | |              (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 183.16/28.51  | | | | | | | | | | | | | | | |              $i(all_57_23))
% 183.16/28.51  | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13464), (16509), (16514), (function-axioms)
% 183.16/28.51  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #56.
% 183.16/28.51  | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | End of split
% 183.16/28.51  | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | End of split
% 183.16/28.51  | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | |   (16515)  all_56_13 = e1 & op(e0, e2) = e1
% 183.16/28.51  | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | ALPHA: (16515) implies:
% 183.16/28.51  | | | | | | | | | | | | | |   (16516)  op(e0, e2) = e1
% 183.16/28.51  | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | REF_CLOSE: (158), (13450), (16516), (function-axioms) are
% 183.16/28.51  | | | | | | | | | | | | | |            inconsistent by sub-proof #841.
% 183.16/28.51  | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | End of split
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | End of split
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | End of split
% 183.16/28.51  | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | End of split
% 183.16/28.51  | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | End of split
% 183.16/28.51  | | | | | | | | | 
% 183.16/28.51  | | | | | | | | End of split
% 183.16/28.51  | | | | | | | | 
% 183.16/28.51  | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | 
% 183.16/28.51  | | | | | | | |   (16517)  all_16_2 = e3
% 183.16/28.51  | | | | | | | | 
% 183.16/28.51  | | | | | | | | COMBINE_EQS: (338), (16517) imply:
% 183.16/28.51  | | | | | | | |   (16518)  all_14_2 = e3
% 183.16/28.51  | | | | | | | | 
% 183.16/28.51  | | | | | | | | SIMP: (16518) implies:
% 183.16/28.51  | | | | | | | |   (16519)  all_14_2 = e3
% 183.16/28.51  | | | | | | | | 
% 183.16/28.51  | | | | | | | | REDUCE: (381), (16519) imply:
% 183.16/28.51  | | | | | | | |   (16520)   ~ (all_52_14 = e3)
% 183.16/28.51  | | | | | | | | 
% 183.16/28.51  | | | | | | | | REDUCE: (51), (16519) imply:
% 183.16/28.51  | | | | | | | |   (16521)  op(e1, e1) = e3
% 183.16/28.51  | | | | | | | | 
% 183.16/28.51  | | | | | | | | BETA: splitting (212) gives:
% 183.16/28.51  | | | | | | | | 
% 183.16/28.51  | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | 
% 183.16/28.51  | | | | | | | | |   (16522)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3
% 183.16/28.51  | | | | | | | | |              & op(e2, e0) = e3)
% 183.16/28.51  | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | BETA: splitting (16522) gives:
% 183.16/28.51  | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | |   (16523)  all_56_9 = e3 & op(e3, e0) = e3
% 183.16/28.51  | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | ALPHA: (16523) implies:
% 183.16/28.51  | | | | | | | | | |   (16524)  op(e3, e0) = e3
% 183.16/28.51  | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | BETA: splitting (241) gives:
% 183.16/28.51  | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | |   (16525)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 183.16/28.51  | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 183.16/28.51  | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (15980), (16525),
% 183.16/28.51  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.51  | | | | | | | | | | |            #285.
% 183.16/28.51  | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | |   (16526)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 183.16/28.51  | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 183.16/28.51  | | | | | | | | | | |              op(e3, e0) = all_57_18 & $i(all_57_18))
% 183.16/28.51  | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | BETA: splitting (16526) gives:
% 183.16/28.51  | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | |   (16527)  all_57_30 = e0 & op(e1, e1) = e0
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | ALPHA: (16527) implies:
% 183.16/28.51  | | | | | | | | | | | |   (16528)  op(e1, e1) = e0
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | REF_CLOSE: (7), (16521), (16528), (function-axioms) are
% 183.16/28.51  | | | | | | | | | | | |            inconsistent by sub-proof #1252.
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | |   (16529)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 183.16/28.51  | | | | | | | | | | | |              (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 183.16/28.51  | | | | | | | | | | | |              $i(all_57_18))
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | BETA: splitting (16529) gives:
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | |   (16530)  all_57_31 = e0 & op(e0, e0) = e0
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | ALPHA: (16530) implies:
% 183.16/28.51  | | | | | | | | | | | | |   (16531)  op(e0, e0) = e0
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (16531), (function-axioms) are
% 183.16/28.51  | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | |   (16532)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 183.16/28.51  | | | | | | | | | | | | |            $i(all_57_18)
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | ALPHA: (16532) implies:
% 183.16/28.51  | | | | | | | | | | | | |   (16533)   ~ (all_57_18 = e3)
% 183.16/28.51  | | | | | | | | | | | | |   (16534)  op(e3, e0) = all_57_18
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 183.16/28.51  | | | | | | | | | | | | |              all_57_18, e0, e3, simplifying with (16524),
% 183.16/28.51  | | | | | | | | | | | | |              (16534) gives:
% 183.16/28.51  | | | | | | | | | | | | |   (16535)  all_57_18 = e3
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | REDUCE: (16533), (16535) imply:
% 183.16/28.51  | | | | | | | | | | | | |   (16536)  $false
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | CLOSE: (16536) is inconsistent.
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | End of split
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | End of split
% 183.16/28.51  | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | End of split
% 183.16/28.51  | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | |   (16537)  all_56_10 = e3 & op(e2, e0) = e3
% 183.16/28.51  | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | REF_CLOSE: (164), (15979), (16537), (function-axioms) are
% 183.16/28.51  | | | | | | | | | |            inconsistent by sub-proof #209.
% 183.16/28.51  | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | End of split
% 183.16/28.51  | | | | | | | | | 
% 183.16/28.51  | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | 
% 183.16/28.51  | | | | | | | | |   (16538)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 183.16/28.51  | | | | | | | | |              e3 & op(e0, e0) = e3)
% 183.16/28.51  | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | REF_CLOSE: (8), (160), (13464), (16520), (16538),
% 183.16/28.51  | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.51  | | | | | | | | |            #57.
% 183.16/28.51  | | | | | | | | | 
% 183.16/28.51  | | | | | | | | End of split
% 183.16/28.51  | | | | | | | | 
% 183.16/28.51  | | | | | | | End of split
% 183.16/28.51  | | | | | | | 
% 183.16/28.51  | | | | | | Case 2:
% 183.16/28.51  | | | | | | | 
% 183.16/28.51  | | | | | | |   (16539)  all_14_2 = e2
% 183.16/28.51  | | | | | | | 
% 183.16/28.51  | | | | | | | REDUCE: (377), (16539) imply:
% 183.16/28.51  | | | | | | |   (16540)   ~ (all_52_9 = e2)
% 183.16/28.51  | | | | | | | 
% 183.16/28.51  | | | | | | | REDUCE: (381), (16539) imply:
% 183.16/28.51  | | | | | | |   (16541)   ~ (all_52_14 = e2)
% 183.16/28.51  | | | | | | | 
% 183.16/28.51  | | | | | | | REDUCE: (51), (16539) imply:
% 183.16/28.51  | | | | | | |   (16542)  op(e1, e1) = e2
% 183.16/28.51  | | | | | | | 
% 183.16/28.51  | | | | | | | BETA: splitting (238) gives:
% 183.16/28.51  | | | | | | | 
% 183.16/28.51  | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | 
% 183.16/28.51  | | | | | | | |   (16543)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0
% 183.16/28.51  | | | | | | | |              & op(e2, e2) = e0)
% 183.16/28.51  | | | | | | | | 
% 183.16/28.51  | | | | | | | | REF_CLOSE: (7), (36), (386), (15980), (16543), (function-axioms)
% 183.16/28.51  | | | | | | | |            are inconsistent by sub-proof #285.
% 183.16/28.51  | | | | | | | | 
% 183.16/28.51  | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | 
% 183.16/28.51  | | | | | | | |   (16544)  (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) =
% 183.16/28.51  | | | | | | | |              all_57_31 & $i(all_57_31))
% 183.16/28.51  | | | | | | | | 
% 183.16/28.51  | | | | | | | | BETA: splitting (16544) gives:
% 183.16/28.51  | | | | | | | | 
% 183.16/28.51  | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | 
% 183.16/28.51  | | | | | | | | |   (16545)  all_57_30 = e0 & op(e1, e1) = e0
% 183.16/28.51  | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | ALPHA: (16545) implies:
% 183.16/28.51  | | | | | | | | |   (16546)  op(e1, e1) = e0
% 183.16/28.51  | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | REF_CLOSE: (5), (16542), (16546), (function-axioms) are
% 183.16/28.51  | | | | | | | | |            inconsistent by sub-proof #1230.
% 183.16/28.51  | | | | | | | | | 
% 183.16/28.51  | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | 
% 183.16/28.51  | | | | | | | | |   (16547)  op(e0, e0) = all_57_31 & $i(all_57_31)
% 183.16/28.51  | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | ALPHA: (16547) implies:
% 183.16/28.51  | | | | | | | | |   (16548)  op(e0, e0) = all_57_31
% 183.16/28.51  | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | BETA: splitting (85) gives:
% 183.16/28.51  | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | |   (16549)   ~ (all_36_2 = e1)
% 183.16/28.51  | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | REDUCE: (13448), (16549) imply:
% 183.16/28.51  | | | | | | | | | |   (16550)  $false
% 183.16/28.51  | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | CLOSE: (16550) is inconsistent.
% 183.16/28.51  | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | |   (16551)  ( ~ (all_36_0 = e2) & op(e1, e1) = all_36_0 &
% 183.16/28.51  | | | | | | | | | |              $i(all_36_0)) | ( ~ (all_36_1 = e3) & op(e1, e0)
% 183.16/28.51  | | | | | | | | | |              = all_36_1 & $i(all_36_1))
% 183.16/28.51  | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | BETA: splitting (241) gives:
% 183.16/28.51  | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | |   (16552)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 183.16/28.51  | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 183.16/28.51  | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (15980), (16552),
% 183.16/28.51  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.51  | | | | | | | | | | |            #285.
% 183.16/28.51  | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | |   (16553)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 183.16/28.51  | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 183.16/28.51  | | | | | | | | | | |              op(e3, e0) = all_57_18 & $i(all_57_18))
% 183.16/28.51  | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | BETA: splitting (16553) gives:
% 183.16/28.51  | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | |   (16554)  all_57_30 = e0 & op(e1, e1) = e0
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | ALPHA: (16554) implies:
% 183.16/28.51  | | | | | | | | | | | |   (16555)  op(e1, e1) = e0
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | REF_CLOSE: (5), (16542), (16555), (function-axioms) are
% 183.16/28.51  | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | |   (16556)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 183.16/28.51  | | | | | | | | | | | |              (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 183.16/28.51  | | | | | | | | | | | |              $i(all_57_18))
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | BETA: splitting (16556) gives:
% 183.16/28.51  | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | |   (16557)  all_57_31 = e0 & op(e0, e0) = e0
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | ALPHA: (16557) implies:
% 183.16/28.51  | | | | | | | | | | | | |   (16558)  op(e0, e0) = e0
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (16558), (function-axioms) are
% 183.16/28.51  | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | |   (16559)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 183.16/28.51  | | | | | | | | | | | | |            $i(all_57_18)
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | ALPHA: (16559) implies:
% 183.16/28.51  | | | | | | | | | | | | |   (16560)   ~ (all_57_18 = e3)
% 183.16/28.51  | | | | | | | | | | | | |   (16561)  op(e3, e0) = all_57_18
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | BETA: splitting (16551) gives:
% 183.16/28.51  | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | |   (16562)   ~ (all_36_0 = e2) & op(e1, e1) = all_36_0 &
% 183.16/28.51  | | | | | | | | | | | | | |            $i(all_36_0)
% 183.16/28.51  | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | ALPHA: (16562) implies:
% 183.16/28.51  | | | | | | | | | | | | | |   (16563)   ~ (all_36_0 = e2)
% 183.16/28.51  | | | | | | | | | | | | | |   (16564)  op(e1, e1) = all_36_0
% 183.16/28.51  | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | REF_CLOSE: (16542), (16563), (16564), (function-axioms) are
% 183.16/28.51  | | | | | | | | | | | | | |            inconsistent by sub-proof #92.
% 183.16/28.51  | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | |   (16565)   ~ (all_36_1 = e3) & op(e1, e0) = all_36_1 &
% 183.16/28.51  | | | | | | | | | | | | | |            $i(all_36_1)
% 183.16/28.51  | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | ALPHA: (16565) implies:
% 183.16/28.51  | | | | | | | | | | | | | |   (16566)   ~ (all_36_1 = e3)
% 183.16/28.51  | | | | | | | | | | | | | |   (16567)  op(e1, e0) = all_36_1
% 183.16/28.51  | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 183.16/28.51  | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | |   (16568)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 183.16/28.51  | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 183.16/28.51  | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (15980), (16568),
% 183.16/28.51  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.51  | | | | | | | | | | | | | | |            #285.
% 183.16/28.51  | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | |   (16569)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 183.16/28.51  | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 183.16/28.51  | | | | | | | | | | | | | | |              op(e2, e0) = all_57_21 & $i(all_57_21))
% 183.16/28.51  | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | BETA: splitting (16569) gives:
% 183.16/28.51  | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | |   (16570)  all_57_30 = e0 & op(e1, e1) = e0
% 183.16/28.51  | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | ALPHA: (16570) implies:
% 183.16/28.51  | | | | | | | | | | | | | | | |   (16571)  op(e1, e1) = e0
% 183.16/28.51  | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16542), (16571), (function-axioms) are
% 183.16/28.51  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 183.16/28.51  | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | |   (16572)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 183.16/28.51  | | | | | | | | | | | | | | | |              (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 183.16/28.51  | | | | | | | | | | | | | | | |              $i(all_57_21))
% 183.16/28.51  | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | BETA: splitting (16572) gives:
% 183.16/28.51  | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | |   (16573)  all_57_31 = e0 & op(e0, e0) = e0
% 183.16/28.51  | | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | | ALPHA: (16573) implies:
% 183.16/28.51  | | | | | | | | | | | | | | | | |   (16574)  op(e0, e0) = e0
% 183.16/28.51  | | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13464), (16574), (function-axioms) are
% 183.16/28.51  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 183.16/28.51  | | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | |   (16575)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 183.16/28.51  | | | | | | | | | | | | | | | | |            $i(all_57_21)
% 183.16/28.51  | | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | | ALPHA: (16575) implies:
% 183.16/28.51  | | | | | | | | | | | | | | | | |   (16576)  op(e2, e0) = all_57_21
% 183.16/28.51  | | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 183.16/28.51  | | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.51  | | | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | | |   (16577)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 183.16/28.51  | | | | | | | | | | | | | | | | | |              e0 & op(e2, e2) = e0)
% 183.16/28.51  | | | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (386), (15980), (16577),
% 183.16/28.51  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.51  | | | | | | | | | | | | | | | | | |            #285.
% 183.16/28.51  | | | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.51  | | | | | | | | | | | | | | | | | | 
% 183.16/28.51  | | | | | | | | | | | | | | | | | |   (16578)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 183.16/28.51  | | | | | | | | | | | | | | | | | |              e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 183.16/28.51  | | | | | | | | | | | | | | | | | |              op(e1, e0) = all_57_24 & $i(all_57_24))
% 183.16/28.51  | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (36), (110), (112), (113), (133), (145),
% 183.16/28.52  | | | | | | | | | | | | | | | | | |            (160), (164), (165), (167), (168), (169), (170),
% 183.16/28.52  | | | | | | | | | | | | | | | | | |            (193), (197), (201), (204), (254), (265), (275),
% 183.16/28.52  | | | | | | | | | | | | | | | | | |            (285), (294), (359), (361), (386), (13452),
% 183.16/28.52  | | | | | | | | | | | | | | | | | |            (13453), (13454), (13464), (16540), (16541),
% 183.16/28.52  | | | | | | | | | | | | | | | | | |            (16542), (16548), (16560), (16561), (16566),
% 183.16/28.52  | | | | | | | | | | | | | | | | | |            (16567), (16576), (16578), (function-axioms) are
% 183.16/28.52  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #83.
% 183.16/28.52  | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | End of split
% 183.16/28.52  | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | End of split
% 183.16/28.52  | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | End of split
% 183.16/28.52  | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | End of split
% 183.16/28.52  | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | End of split
% 183.16/28.52  | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | End of split
% 183.16/28.52  | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | End of split
% 183.16/28.52  | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | End of split
% 183.16/28.52  | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | End of split
% 183.16/28.52  | | | | | | | | | 
% 183.16/28.52  | | | | | | | | End of split
% 183.16/28.52  | | | | | | | | 
% 183.16/28.52  | | | | | | | End of split
% 183.16/28.52  | | | | | | | 
% 183.16/28.52  | | | | | | End of split
% 183.16/28.52  | | | | | | 
% 183.16/28.52  | | | | | End of split
% 183.16/28.52  | | | | | 
% 183.16/28.52  | | | | End of split
% 183.16/28.52  | | | | 
% 183.16/28.52  | | | End of split
% 183.16/28.52  | | | 
% 183.16/28.52  | | End of split
% 183.16/28.52  | | 
% 183.16/28.52  | Case 2:
% 183.16/28.52  | | 
% 183.16/28.52  | |   (16579)  all_4_2 = e0
% 183.16/28.52  | |   (16580)  ( ~ (all_4_0 = e2) & op(e0, e0) = all_4_0 & $i(all_4_0)) | ( ~
% 183.16/28.52  | |              (all_4_1 = e1) & op(e0, e3) = all_4_1 & $i(all_4_1))
% 183.16/28.52  | | 
% 183.16/28.52  | | COMBINE_EQS: (315), (16579) imply:
% 183.16/28.52  | |   (16581)  all_20_2 = e0
% 183.16/28.52  | | 
% 183.16/28.52  | | REDUCE: (351), (16579) imply:
% 183.16/28.52  | |   (16582)   ~ (all_52_1 = e0)
% 183.16/28.52  | | 
% 183.16/28.52  | | REDUCE: (353), (16579) imply:
% 183.16/28.52  | |   (16583)   ~ (all_52_2 = e0)
% 183.16/28.52  | | 
% 183.16/28.52  | | REDUCE: (355), (16579) imply:
% 183.16/28.52  | |   (16584)   ~ (all_52_3 = e0)
% 183.16/28.52  | | 
% 183.16/28.52  | | REDUCE: (357), (16579) imply:
% 183.16/28.52  | |   (16585)   ~ (all_52_4 = e0)
% 183.16/28.52  | | 
% 183.16/28.52  | | REDUCE: (359), (16579) imply:
% 183.16/28.52  | |   (16586)   ~ (all_52_8 = e0)
% 183.16/28.52  | | 
% 183.16/28.52  | | REDUCE: (361), (16579) imply:
% 183.16/28.52  | |   (16587)   ~ (all_52_12 = e0)
% 183.16/28.52  | | 
% 183.16/28.52  | | BETA: splitting (229) gives:
% 183.16/28.52  | | 
% 183.16/28.52  | | Case 1:
% 183.16/28.52  | | | 
% 183.16/28.52  | | |   (16588)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3)
% 183.16/28.52  | | |              = e0)
% 183.16/28.52  | | | 
% 183.16/28.52  | | | BETA: splitting (16588) gives:
% 183.16/28.52  | | | 
% 183.16/28.52  | | | Case 1:
% 183.16/28.52  | | | | 
% 183.16/28.52  | | | |   (16589)  all_56_0 = e0 & op(e3, e3) = e0
% 183.16/28.52  | | | | 
% 183.16/28.52  | | | | ALPHA: (16589) implies:
% 183.16/28.52  | | | |   (16590)  all_56_0 = e0
% 183.16/28.52  | | | |   (16591)  op(e3, e3) = e0
% 183.16/28.52  | | | | 
% 183.16/28.52  | | | | BETA: splitting (40) gives:
% 183.16/28.52  | | | | 
% 183.16/28.52  | | | | Case 1:
% 183.16/28.52  | | | | | 
% 183.16/28.52  | | | | |   (16592)   ~ (all_6_2 = e1)
% 183.16/28.52  | | | | | 
% 183.16/28.52  | | | | | BETA: splitting (43) gives:
% 183.16/28.52  | | | | | 
% 183.16/28.52  | | | | | Case 1:
% 183.16/28.52  | | | | | | 
% 183.16/28.52  | | | | | |   (16593)   ~ (all_8_2 = e2)
% 183.16/28.52  | | | | | | 
% 183.16/28.52  | | | | | | REDUCE: (340), (16593) imply:
% 183.16/28.52  | | | | | |   (16594)   ~ (all_6_2 = e2)
% 183.16/28.52  | | | | | | 
% 183.16/28.52  | | | | | | BETA: splitting (46) gives:
% 183.16/28.52  | | | | | | 
% 183.16/28.52  | | | | | | Case 1:
% 183.16/28.52  | | | | | | | 
% 183.16/28.52  | | | | | | |   (16595)   ~ (all_10_2 = e3)
% 183.16/28.52  | | | | | | | 
% 183.16/28.52  | | | | | | | BETA: splitting (49) gives:
% 183.16/28.52  | | | | | | | 
% 183.16/28.52  | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | 
% 183.16/28.52  | | | | | | | |   (16596)   ~ (all_12_2 = e0)
% 183.16/28.52  | | | | | | | | 
% 183.16/28.52  | | | | | | | | REDUCE: (335), (16596) imply:
% 183.16/28.52  | | | | | | | |   (16597)   ~ (all_10_2 = e0)
% 183.16/28.52  | | | | | | | | 
% 183.16/28.52  | | | | | | | | BETA: splitting (55) gives:
% 183.16/28.52  | | | | | | | | 
% 183.16/28.52  | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | 
% 183.16/28.52  | | | | | | | | |   (16598)   ~ (all_16_2 = e3)
% 183.16/28.52  | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | REDUCE: (338), (16598) imply:
% 183.16/28.52  | | | | | | | | |   (16599)   ~ (all_14_2 = e3)
% 183.16/28.52  | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | BETA: splitting (52) gives:
% 183.16/28.52  | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | |   (16600)   ~ (all_14_2 = e2)
% 183.16/28.52  | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | BETA: splitting (70) gives:
% 183.16/28.52  | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | |   (16601)   ~ (all_26_2 = e0)
% 183.16/28.52  | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | REDUCE: (318), (16601) imply:
% 183.16/28.52  | | | | | | | | | | |   (16602)   ~ (all_14_2 = e0)
% 183.16/28.52  | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | BETA: splitting (194) gives:
% 183.16/28.52  | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | |   (16603)  all_54_10 = e3
% 183.16/28.52  | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | REF_CLOSE: (349), (16599), (16603) are inconsistent by
% 183.16/28.52  | | | | | | | | | | | |            sub-proof #1621.
% 183.16/28.52  | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | Case 2:
% 183.16/28.52  | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | |   (16604)   ~ (all_54_10 = e3)
% 183.16/28.52  | | | | | | | | | | | |   (16605)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 183.16/28.52  | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | BETA: splitting (16605) gives:
% 183.16/28.52  | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | |   (16606)  all_54_10 = e2
% 183.16/28.52  | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | REF_CLOSE: (349), (16600), (16606) are inconsistent by
% 183.16/28.52  | | | | | | | | | | | | |            sub-proof #1620.
% 183.16/28.52  | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | Case 2:
% 183.16/28.52  | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | |   (16607)   ~ (all_54_10 = e2)
% 183.16/28.52  | | | | | | | | | | | | |   (16608)  all_54_10 = e1 | all_54_10 = e0
% 183.16/28.52  | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | BETA: splitting (16608) gives:
% 183.16/28.52  | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | |   (16609)  all_54_10 = e1
% 183.16/28.52  | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | COMBINE_EQS: (349), (16609) imply:
% 183.16/28.52  | | | | | | | | | | | | | |   (16610)  all_14_2 = e1
% 183.16/28.52  | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | SIMP: (16610) implies:
% 183.16/28.52  | | | | | | | | | | | | | |   (16611)  all_14_2 = e1
% 183.16/28.52  | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | REDUCE: (363), (16611) imply:
% 183.16/28.52  | | | | | | | | | | | | | |   (16612)   ~ (all_52_2 = e1)
% 183.16/28.52  | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | REDUCE: (376), (16611) imply:
% 183.16/28.52  | | | | | | | | | | | | | |   (16613)   ~ (all_52_8 = e1)
% 183.16/28.52  | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | REDUCE: (377), (16611) imply:
% 183.16/28.52  | | | | | | | | | | | | | |   (16614)   ~ (all_52_9 = e1)
% 183.16/28.52  | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | REDUCE: (379), (16611) imply:
% 183.16/28.52  | | | | | | | | | | | | | |   (16615)   ~ (all_52_11 = e1)
% 183.16/28.52  | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | REDUCE: (381), (16611) imply:
% 183.16/28.52  | | | | | | | | | | | | | |   (16616)   ~ (all_52_14 = e1)
% 183.16/28.52  | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | REDUCE: (16599), (16611) imply:
% 183.16/28.52  | | | | | | | | | | | | | |   (16617)   ~ (e3 = e1)
% 183.16/28.52  | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | REDUCE: (16600), (16611) imply:
% 183.16/28.52  | | | | | | | | | | | | | |   (16618)   ~ (e2 = e1)
% 183.16/28.52  | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | REDUCE: (51), (16611) imply:
% 183.16/28.52  | | | | | | | | | | | | | |   (16619)  op(e1, e1) = e1
% 183.16/28.52  | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 183.16/28.52  | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | |   (16620)   ~ (all_28_2 = e1)
% 183.16/28.52  | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | REDUCE: (329), (16620) imply:
% 183.16/28.52  | | | | | | | | | | | | | | |   (16621)   ~ (all_10_2 = e1)
% 183.16/28.52  | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 183.16/28.52  | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | |   (16622)  all_54_5 = e3
% 183.16/28.52  | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | REF_CLOSE: (283), (16595), (16622) are inconsistent by
% 183.16/28.52  | | | | | | | | | | | | | | | |            sub-proof #1268.
% 183.16/28.52  | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | Case 2:
% 183.16/28.52  | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | |   (16623)   ~ (all_54_5 = e3)
% 183.16/28.52  | | | | | | | | | | | | | | | |   (16624)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 183.16/28.52  | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | BETA: splitting (16624) gives:
% 183.16/28.52  | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | |   (16625)  all_54_5 = e2
% 183.16/28.52  | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (16625) imply:
% 183.16/28.52  | | | | | | | | | | | | | | | | |   (16626)  all_10_2 = e2
% 183.16/28.52  | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | REDUCE: (362), (16626) imply:
% 183.16/28.52  | | | | | | | | | | | | | | | | |   (16627)   ~ (all_52_1 = e2)
% 183.16/28.52  | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | REDUCE: (365), (16626) imply:
% 183.16/28.52  | | | | | | | | | | | | | | | | |   (16628)   ~ (all_52_4 = e2)
% 183.16/28.52  | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | REDUCE: (367), (16626) imply:
% 183.16/28.52  | | | | | | | | | | | | | | | | |   (16629)   ~ (all_52_6 = e2)
% 183.16/28.52  | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | REDUCE: (369), (16626) imply:
% 183.16/28.52  | | | | | | | | | | | | | | | | |   (16630)   ~ (all_52_7 = e2)
% 183.16/28.52  | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | REDUCE: (371), (16626) imply:
% 183.16/28.52  | | | | | | | | | | | | | | | | |   (16631)   ~ (all_52_9 = e2)
% 183.16/28.52  | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | REDUCE: (373), (16626) imply:
% 183.16/28.52  | | | | | | | | | | | | | | | | |   (16632)   ~ (all_52_13 = e2)
% 183.16/28.52  | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | REDUCE: (16595), (16626) imply:
% 183.16/28.52  | | | | | | | | | | | | | | | | |   (16633)   ~ (e3 = e2)
% 183.16/28.52  | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | REDUCE: (45), (16626) imply:
% 183.16/28.52  | | | | | | | | | | | | | | | | |   (16634)  op(e2, e2) = e2
% 183.16/28.52  | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 183.16/28.52  | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | |   (16635)   ~ (all_32_2 = e3)
% 183.16/28.52  | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | REDUCE: (344), (16635) imply:
% 183.16/28.52  | | | | | | | | | | | | | | | | | |   (16636)   ~ (all_6_2 = e3)
% 183.16/28.52  | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | |   (16637)  all_54_15 = e3
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (16636), (16637) are inconsistent by
% 183.16/28.52  | | | | | | | | | | | | | | | | | | |            sub-proof #1608.
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | |   (16638)   ~ (all_54_15 = e3)
% 183.16/28.52  | | | | | | | | | | | | | | | | | | |   (16639)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | BETA: splitting (16639) gives:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | |   (16640)  all_54_15 = e2
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (16594), (16640) are inconsistent by
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | |            sub-proof #1607.
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | |   (16641)   ~ (all_54_15 = e2)
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | |   (16642)  all_54_15 = e1 | all_54_15 = e0
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | |   (16643)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (16591), (16634), (16643),
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | |            #54.
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | |   (16644)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & $i(all_57_19))
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16644) gives:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | |   (16645)  all_57_30 = e3 & op(e1, e1) = e3
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16645) implies:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | |   (16646)  op(e1, e1) = e3
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16619), (16646), (function-axioms) are
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | |   (16647)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | |              (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19))
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16647) gives:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | |   (16648)  all_57_31 = e3 & op(e0, e0) = e3
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16648) implies:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | |   (16649)  op(e0, e0) = e3
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (261), (16592), (16636), (16642), (16649),
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | |   (16650)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19)
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16650) implies:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | |   (16651)   ~ (all_57_19 = e2)
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | |   (16652)  op(e2, e3) = all_57_19
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16642) gives:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | |   (16653)  all_54_15 = e1
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (16592), (16653) are inconsistent by
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1606.
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | |   (16654)  all_54_15 = e0
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (16654) imply:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | |   (16655)  all_6_2 = e0
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16655) implies:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | |   (16656)  all_6_2 = e0
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (16656) imply:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | |   (16657)   ~ (all_52_13 = e0)
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (16656) imply:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | |   (16658)   ~ (all_52_14 = e0)
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16636), (16656) imply:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | |   (16659)   ~ (e3 = e0)
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16594), (16656) imply:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | |   (16660)   ~ (e2 = e0)
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16592), (16656) imply:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | |   (16661)   ~ (e1 = e0)
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (16656) imply:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | |   (16662)  op(e0, e0) = e0
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | |   (16663)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (16582), (16634), (16663),
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | |            #53.
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | |   (16664)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16664) gives:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16665)  all_56_5 = e0 & op(e2, e1) = e0
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16665) implies:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16666)  all_56_5 = e0
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16667)  op(e2, e1) = e0
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16668)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (16591), (16634), (16668),
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #54.
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16669)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & $i(all_57_28))
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16669) gives:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16670)  all_57_30 = e3 & op(e1, e1) = e3
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16670) implies:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16671)  op(e1, e1) = e3
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16619), (16671), (function-axioms) are
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16672)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28))
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16672) gives:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16673)  all_57_31 = e3 & op(e0, e0) = e3
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16673) implies:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16674)  op(e0, e0) = e3
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (261), (16592), (16636), (16642), (16674),
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16675)   ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16675) implies:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16676)   ~ (all_57_28 = e3)
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16677)  op(e3, e3) = all_57_28
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16678)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16634), (16676), (16677), (16678),
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1538.
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16679)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_22 & $i(all_57_22))
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16679) gives:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16680)  all_57_30 = e3 & op(e1, e1) = e3
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16680) implies:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16681)  op(e1, e1) = e3
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16619), (16681), (function-axioms) are
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16682)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22))
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16682) gives:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16683)  all_57_31 = e3 & op(e0, e0) = e3
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16683) implies:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16684)  op(e0, e0) = e3
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (261), (16592), (16636), (16642), (16684),
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16685)   ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16685) implies:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16686)   ~ (all_57_22 = e1)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16687)  op(e1, e3) = all_57_22
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16688)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16688) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16689)  all_56_6 = e0 & op(e1, e3) = e0
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (16583), (16689), (function-axioms) are
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1197.
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16690)  all_56_7 = e0 & op(e1, e2) = e0
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16690) implies:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16691)  all_56_7 = e0
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16692)  op(e1, e2) = e0
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16693)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16634), (16676), (16677), (16693),
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1538.
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16694)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & $i(all_57_25))
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16694) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16695)  all_57_30 = e3 & op(e1, e1) = e3
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16695) implies:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16696)  op(e1, e1) = e3
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16619), (16696), (function-axioms) are
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16697)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_25))
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16697) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16698)  all_57_31 = e3 & op(e0, e0) = e3
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16698) implies:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16699)  op(e0, e0) = e3
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (261), (16592), (16636), (16642), (16699),
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16700)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_25)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16700) implies:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16701)   ~ (all_57_25 = e0)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16702)  op(e0, e3) = all_57_25
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25, e3, e0, simplifying with (159), (16702)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16703)  all_57_25 = all_52_3
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (16692) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16704)  all_52_6 = e0
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22, e3, e1, simplifying with (163), (16687)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16705)  all_57_22 = all_52_2
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (16667) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16706)  all_52_9 = e0
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19, e3, e2, simplifying with (167), (16652)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16707)  all_57_19 = all_52_1
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28, e3, e3, simplifying with (16591),
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (16677) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16708)  all_57_28 = e0
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (16704) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16709)   ~ (all_52_7 = e0)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16709) implies:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16710)   ~ (all_52_7 = e0)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (16704) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16711)   ~ (all_52_14 = e0)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (16706) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16712)   ~ (all_52_11 = e0)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16712) implies:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16713)   ~ (all_52_11 = e0)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (16706) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16714)   ~ (all_52_13 = e0)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16715)  all_54_8 = e3
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (16715) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16716)  all_52_2 = e3
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (16716) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16717)   ~ (all_52_1 = e3)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (16716) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16718)   ~ (all_52_3 = e3)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16718) implies:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16719)   ~ (all_52_3 = e3)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16720)  all_54_4 = e3
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (16717), (16720) are inconsistent by
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1078.
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16721)   ~ (all_54_4 = e3)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16722)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16722) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16723)  all_54_4 = e2
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (16627), (16723) are inconsistent by
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1084.
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16724)  all_54_4 = e1 | all_54_4 = e0
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16724) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16725)  all_54_4 = e1
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (16725) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16726)  all_52_1 = e1
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16726) implies:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16727)  all_52_1 = e1
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (16727) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16728)   ~ (all_52_3 = e1)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16728) implies:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16729)   ~ (all_52_3 = e1)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16730)  all_54_12 = e3
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (16719), (16730) are inconsistent by
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1265.
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16731)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16731) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16732)  all_54_12 = e2
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (264), (16732) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16733)  all_52_3 = e2
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16733) implies:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16734)  all_52_3 = e2
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (16734) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16735)   ~ (all_52_7 = e2)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (16734) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16736)   ~ (all_52_11 = e2)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16736) implies:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16737)   ~ (all_52_11 = e2)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (16734) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16738)  op(e0, e3) = e2
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16739)  all_54_14 = e3
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (16739) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16740)  all_52_11 = e3
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16740) implies:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16741)  all_52_11 = e3
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (16741) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16742)   ~ (all_52_7 = e3)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (16741) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16743)   ~ (all_52_8 = e3)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16744)  all_54_2 = e3
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (16743), (16744) are inconsistent by
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1335.
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16745)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16746)  all_54_13 = e3
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (16742), (16746) are inconsistent by
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1302.
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16747)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16747) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16748)  all_54_13 = e2
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (16630), (16748) are inconsistent by
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1185.
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16749)   ~ (all_54_13 = e2)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16750)  all_54_13 = e1 | all_54_13 = e0
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16750) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16751)  all_54_13 = e1
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (16751) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16752)  all_52_7 = e1
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16752) implies:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16753)  all_52_7 = e1
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (16753) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16754)   ~ (all_52_4 = e1)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (16753) imply:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16755)  op(e0, e2) = e1
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16756)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16756) gives:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16757)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (167), (169), (203), (287), (16585),
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16628), (16717), (16754), (16757),
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #66.
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16758)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16651), (16652), (16738), (16758),
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #52.
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16759)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16759) gives:
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16760)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (16667), (16755), (16760),
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #51.
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16761)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16761) gives:
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16762)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16762) implies:
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16763)  op(e3, e1) = e1
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (16613), (16763), (function-axioms) are
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16764)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16764) gives:
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16765)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16765) implies:
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16766)  op(e2, e1) = e1
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (16614), (16766), (function-axioms) are
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16767)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16767) implies:
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16768)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (286), (16586), (16613), (16616), (16662),
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16745), (16768), (function-axioms) are
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #252.
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16769)  all_54_13 = e0
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (16710), (16769) are inconsistent by
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1312.
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16770)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (16615), (16713), (16737), (16770) are
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1233.
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.16/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16771)  all_54_12 = e1 | all_54_12 = e0
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (16584), (16729), (16771) are inconsistent
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1255.
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16772)  all_54_4 = e0
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (16582), (16772) are inconsistent by
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #924.
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16773)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16773) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16774)  all_54_8 = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (16774) imply:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16775)  all_52_2 = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (16775) imply:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16776)   ~ (all_52_14 = e2)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16776) implies:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16777)   ~ (all_52_14 = e2)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16778)  all_54_11 = e3
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (16778) imply:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16779)  all_52_14 = e3
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16779) implies:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16780)  all_52_14 = e3
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (16780) imply:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16781)   ~ (all_52_12 = e3)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (16780) imply:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16782)   ~ (all_52_13 = e3)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16783)  all_54_7 = e3
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (16782), (16783) are inconsistent by
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #797.
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16784)   ~ (all_54_7 = e3)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16785)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16786)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16786) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16787)  all_56_0 = e2 & op(e3, e3) = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16787) implies:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16788)  op(e3, e3) = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16591), (16788), (function-axioms) are
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #50.
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16789)  all_56_2 = e2 & op(e2, e3) = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16789) implies:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16790)  all_56_2 = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16791)  op(e2, e3) = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (222),
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (16614), (16634), (16790), (16791),
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1406.
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16792)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16792) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16793)  all_56_6 = e2 & op(e1, e3) = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16793) implies:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16794)  all_56_6 = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16795)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16795) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16796)  all_56_2 = e3 & op(e2, e3) = e3
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16796) implies:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16797)  all_56_2 = e3
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16798)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16798) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16799)  all_56_0 = e1 & op(e3, e3) = e1
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16799) implies:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16800)  op(e3, e3) = e1
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16591), (16800), (function-axioms) are
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #49.
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16801)  all_56_2 = e1 & op(e2, e3) = e1
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16797), (16801) are inconsistent by
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1599.
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16802)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16802) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16803)  all_56_6 = e1 & op(e1, e3) = e1
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16803) implies:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16804)  op(e1, e3) = e1
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16686), (16687), (16804), (function-axioms) are
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #91.
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16805)  all_56_12 = e1 & op(e0, e3) = e1
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16805) implies:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16806)  op(e0, e3) = e1
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16785) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16807)  all_54_7 = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (16807) imply:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16808)  all_52_13 = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16632), (16808) imply:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16809)  $false
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16809) is inconsistent.
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16810)   ~ (all_54_7 = e2)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16811)  all_54_7 = e1 | all_54_7 = e0
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16812)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (16781), (16782), (16812),
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #208.
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16813)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16813) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16814)  all_56_11 = e3 & op(e1, e0) = e3
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16814) implies:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16815)  all_56_11 = e3
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16811) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16816)  all_54_7 = e1
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (16816) imply:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16817)  all_52_13 = e1
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16817) implies:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16818)  all_52_13 = e1
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (16818) imply:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16819)   ~ (all_52_12 = e1)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16820)  all_54_3 = e3
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (16781), (16820) are inconsistent by
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #809.
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16821)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16822)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16822) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16823)  all_56_12 = e2 & op(e0, e3) = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (113), (117), (141), (157), (160),
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (164), (165), (168), (169), (193), (207),
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (254), (265), (275), (349), (381), (16602),
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16608), (16613), (16615), (16616), (16632),
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16651), (16652), (16657), (16658), (16662),
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16667), (16701), (16708), (16777), (16782),
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16785), (16823), (function-axioms) are
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #47.
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16824)  all_56_13 = e2 & op(e0, e2) = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16824) implies:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16825)  op(e0, e2) = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (16630), (16825), (function-axioms) are
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16826)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16826) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16827)  all_56_14 = e2 & op(e0, e1) = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16827) implies:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16828)  all_56_14 = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16829)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16829) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16830)  all_56_12 = e3 & op(e0, e3) = e3
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16830) implies:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16831)  op(e0, e3) = e3
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (16806), (16831), (function-axioms)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1529.
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16832)  all_56_13 = e3 & op(e0, e2) = e3
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16832) implies:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16833)  all_56_13 = e3
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16821) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16834)  all_54_3 = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (16834) imply:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16835)  all_52_12 = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16835) implies:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16836)  all_52_12 = e2
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (16836) imply:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16837)   ~ (all_52_8 = e2)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16838)  all_54_2 = e3
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (16838) imply:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16839)  all_52_8 = e3
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16839) implies:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16840)  all_52_8 = e3
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (16840) imply:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16841)   ~ (all_52_4 = e3)
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16842)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16842) gives:
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16843)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16843) gives:
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16844)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16844) implies:
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16845)  op(e3, e2) = e3
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (16841), (16845), (function-axioms) are
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1603.
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16846)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16846) implies:
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16847)  op(e1, e3) = e3
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (163), (193), (265), (16616), (16658),
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16777), (16847), (function-axioms) are
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #264.
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16848)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16848) gives:
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16849)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16849) implies:
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16850)  op(e0, e3) = e3
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (39), (159), (207), (16592), (16828),
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16833), (16850), (function-axioms) are
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1457.
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16851)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16851) implies:
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16852)  op(e2, e3) = e2
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16651), (16652), (16852), (function-axioms) are
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #180.
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16853)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16853) gives:
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16854)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (158), (16630), (16667), (16854),
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #271.
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16855)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16855) gives:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16856)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16856) implies:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16857)  op(e3, e1) = e1
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (16613), (16857), (function-axioms) are
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16858)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16858) gives:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16859)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16859) implies:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16860)  op(e2, e1) = e1
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (165), (275), (16657), (16811), (16860),
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #794.
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16861)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16861) implies:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16862)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (261), (384), (385), (16592),
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16594), (16616), (16639), (16806), (16862),
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #46.
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16863)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16863) gives:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16864)  all_54_2 = e2
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (16837), (16864) are inconsistent by
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1480.
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16865)  all_54_2 = e1 | all_54_2 = e0
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (16586), (16613), (16865) are inconsistent
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1324.
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16866)  all_54_3 = e1 | all_54_3 = e0
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (16587), (16819), (16866) are inconsistent
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #827.
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16867)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16867) gives:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16868)  all_56_14 = e3 & op(e0, e1) = e3
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16868) implies:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16869)  all_56_14 = e3
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16828), (16869) imply:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16870)  e3 = e2
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16815), (16870) imply:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16871)  all_56_11 = e2
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (16619), (16691), (16794),
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16871), (function-axioms) are inconsistent by
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1452.
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16872)  all_56_15 = e3 & op(e0, e0) = e3
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16872) implies:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16873)  op(e0, e0) = e3
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (261), (16592), (16636), (16642), (16873),
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16874)  all_56_15 = e2 & op(e0, e0) = e2
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16874) implies:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16875)  op(e0, e0) = e2
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16594), (16875), (function-axioms) are
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16876)  all_54_7 = e0
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (16657), (16876) are inconsistent by
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #946.
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16877)  all_56_15 = e3 & op(e0, e0) = e3
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16877) implies:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16878)  op(e0, e0) = e3
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (261), (16592), (16636), (16642), (16878),
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16879)  all_56_3 = e3 & op(e2, e2) = e3
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16879) implies:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16880)  op(e2, e2) = e3
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16634), (16880), (function-axioms) are
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1602.
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16881)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16881) gives:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16882)  all_56_5 = e3 & op(e2, e1) = e3
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16882) implies:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16883)  all_56_5 = e3
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16666), (16883) are inconsistent by
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1410.
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16884)  all_56_10 = e3 & op(e2, e0) = e3
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (16782), (16884), (function-axioms) are
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #209.
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16885)  all_56_12 = e2 & op(e0, e3) = e2
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (113), (117), (141), (157), (160),
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (163), (164), (165), (168), (169), (193), (207),
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232), (254), (265), (275), (349), (381), (16602),
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16608), (16613), (16615), (16616), (16632),
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16651), (16652), (16657), (16658), (16662),
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16667), (16701), (16708), (16777), (16782),
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16785), (16885), (function-axioms) are
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #47.
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16886)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (16616), (16658), (16777), (16886) are
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1112.
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16887)  all_54_8 = e1 | all_54_8 = e0
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (16583), (16612), (16887) are inconsistent
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1079.
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16888)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (16619), (16658), (16888),
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #511.
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16889)  all_56_10 = e0 & op(e2, e0) = e0
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16889) implies:
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16890)  op(e2, e0) = e0
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (16657), (16890), (function-axioms) are
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1504.
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | End of split
% 183.33/28.58  | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.58  | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | |   (16891)  all_32_2 = e3
% 183.33/28.58  | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (16891) imply:
% 183.33/28.58  | | | | | | | | | | | | | | | | | |   (16892)  all_6_2 = e3
% 183.33/28.58  | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | SIMP: (16892) implies:
% 183.33/28.58  | | | | | | | | | | | | | | | | | |   (16893)  all_6_2 = e3
% 183.33/28.58  | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (16893) imply:
% 183.33/28.58  | | | | | | | | | | | | | | | | | |   (16894)  all_38_2 = e3
% 183.33/28.58  | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | REDUCE: (375), (16893) imply:
% 183.33/28.58  | | | | | | | | | | | | | | | | | |   (16895)   ~ (all_52_7 = e3)
% 183.33/28.58  | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | REDUCE: (382), (16893) imply:
% 183.33/28.58  | | | | | | | | | | | | | | | | | |   (16896)   ~ (all_52_11 = e3)
% 183.33/28.58  | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | REDUCE: (384), (16893) imply:
% 183.33/28.58  | | | | | | | | | | | | | | | | | |   (16897)   ~ (all_52_13 = e3)
% 183.33/28.58  | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | REDUCE: (39), (16893) imply:
% 183.33/28.58  | | | | | | | | | | | | | | | | | |   (16898)  op(e0, e0) = e3
% 183.33/28.58  | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 183.33/28.58  | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | |   (16899)   ~ (all_38_2 = e3)
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | REDUCE: (16894), (16899) imply:
% 183.33/28.58  | | | | | | | | | | | | | | | | | | |   (16900)  $false
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | CLOSE: (16900) is inconsistent.
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | Case 2:
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | |   (16901)  ( ~ (all_38_0 = e1) & op(e3, e3) = all_38_0 &
% 183.33/28.58  | | | | | | | | | | | | | | | | | | |              $i(all_38_0)) | ( ~ (all_38_1 = e2) & op(e3, e0)
% 183.33/28.58  | | | | | | | | | | | | | | | | | | |              = all_38_1 & $i(all_38_1))
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | |   (16902)  all_54_2 = e3
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (16902) imply:
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | |   (16903)  all_52_8 = e3
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (16903) imply:
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | |   (16904)   ~ (all_52_4 = e3)
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (16903) imply:
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | |   (16905)   ~ (all_52_9 = e3)
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | SIMP: (16905) implies:
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | |   (16906)   ~ (all_52_9 = e3)
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (16903) imply:
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | |   (16907)   ~ (all_52_12 = e3)
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | 
% 183.33/28.58  | | | | | | | | | | | | | | | | | | | | SIMP: (16907) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | |   (16908)   ~ (all_52_12 = e3)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | |   (16909)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16909) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | |   (16910)  all_56_0 = e2 & op(e3, e3) = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16910) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | |   (16911)  op(e3, e3) = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16591), (16911), (function-axioms) are
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #50.
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | |   (16912)  all_56_1 = e2 & op(e3, e2) = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16912) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | |   (16913)  op(e3, e2) = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (16628), (16913), (function-axioms) are
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | |   (16914)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16914) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | |   (16915)  all_56_4 = e2 & op(e3, e1) = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16915) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | |   (16916)  all_56_4 = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (168), (170), (236), (16591), (16904),
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | |            (16908), (16916), (function-axioms) are
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #44.
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | |   (16917)  all_56_9 = e2 & op(e3, e0) = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16917) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | |   (16918)  all_56_9 = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | |   (16919)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (16634), (16904), (16919),
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | |            #1601.
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | |   (16920)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16920) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | |   (16921)  all_56_7 = e3 & op(e1, e2) = e3
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16921) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | |   (16922)  all_56_7 = e3
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | |   (16923)  all_54_6 = e3
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (16906), (16923) are inconsistent by
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1242.
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | |   (16924)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | |   (16925)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16925) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16926)  all_56_0 = e1 & op(e3, e3) = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16926) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16927)  op(e3, e3) = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16591), (16927), (function-axioms) are
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #49.
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16928)  all_56_1 = e1 & op(e3, e2) = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16928) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16929)  all_56_1 = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16930)  all_54_1 = e3
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (16904), (16930) are inconsistent by
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1344.
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16931)   ~ (all_54_1 = e3)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16932)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16932) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16933)  all_54_1 = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (16628), (16933) are inconsistent by
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1338.
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16934)  all_54_1 = e1 | all_54_1 = e0
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16934) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16935)  all_54_1 = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (16935) imply:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16936)  all_52_4 = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16936) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16937)  all_52_4 = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (16937) imply:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16938)   ~ (all_52_6 = e1)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16938) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16939)   ~ (all_52_6 = e1)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (16937) imply:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16940)   ~ (all_52_7 = e1)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16940) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16941)   ~ (all_52_7 = e1)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (16937) imply:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16942)   ~ (all_52_12 = e1)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16942) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16943)   ~ (all_52_12 = e1)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (16937) imply:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16944)  op(e3, e2) = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16945)  all_54_3 = e3
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (16908), (16945) are inconsistent by
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #809.
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16946)   ~ (all_54_3 = e3)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16947)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16947) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16948)  all_54_3 = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (16948) imply:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16949)  all_52_12 = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16949) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16950)  all_52_12 = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (16950) imply:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16951)   ~ (all_52_13 = e2)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (16950) imply:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16952)   ~ (all_52_14 = e2)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16952) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16953)   ~ (all_52_14 = e2)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (16950) imply:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16954)  op(e3, e0) = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16955)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e2)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16955) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16956)  all_56_6 = e2 & op(e1, e3) = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16956) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16957)  op(e1, e3) = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16958)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16958) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16959)  all_56_0 = e3 & op(e3, e3) = e3
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16959) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16960)  op(e3, e3) = e3
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16591), (16960), (function-axioms) are
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #55.
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16961)  all_56_2 = e3 & op(e2, e3) = e3
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16961) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16962)  all_56_2 = e3
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16963)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16963) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16964)  all_56_2 = e1 & op(e2, e3) = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16962), (16964) are inconsistent by
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1599.
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16965)  all_56_3 = e1 & op(e2, e2) = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16965) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16966)  op(e2, e2) = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16634), (16966), (function-axioms) are
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16967)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16967) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16968)  all_56_5 = e1 & op(e2, e1) = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16968) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16969)  op(e2, e1) = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (16614), (16969), (function-axioms) are
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16970)  all_56_10 = e1 & op(e2, e0) = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16970) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16971)  all_56_10 = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16972)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16972) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16973)  all_56_12 = e1 & op(e0, e3) = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16973) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16974)  all_56_12 = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16975)  op(e0, e3) = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16924) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16976)  all_54_6 = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (16631), (16976) are inconsistent by
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1241.
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16977)  all_54_6 = e1 | all_54_6 = e0
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16978)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16978) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16979)  all_56_12 = e2 & op(e0, e3) = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16979) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16980)  all_56_12 = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16974), (16980) imply:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16981)  e2 = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16918), (16981) imply:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16982)  all_56_9 = e1
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16983)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (16591), (16944), (16983),
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #43.
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16914) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16984)  all_56_4 = e2 & op(e3, e1) = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16984) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16985)  all_56_4 = e2
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16986)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16986) gives:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16987)  all_56_0 = e3 & op(e3, e3) = e3
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16987) implies:
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16988)  op(e3, e3) = e3
% 183.39/28.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16591), (16988), (function-axioms) are
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #55.
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16989)  all_56_1 = e3 & op(e3, e2) = e3
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16989) implies:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16990)  op(e3, e2) = e3
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16944), (16990), (function-axioms) are
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1579.
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16991)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16991) gives:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16992)  all_56_4 = e3 & op(e3, e1) = e3
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16992) implies:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16993)  all_56_4 = e3
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16985), (16993) are inconsistent by
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1285.
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16994)  all_56_9 = e3 & op(e3, e0) = e3
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16994) implies:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16995)  all_56_9 = e3
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16982), (16995) are inconsistent by
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1376.
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16918), (16982) are inconsistent by
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1503.
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16996)  all_56_13 = e2 & op(e0, e2) = e2
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16996) implies:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16997)  op(e0, e2) = e2
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (16630), (16997), (function-axioms) are
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16998)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16998) gives:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (16999)  all_56_14 = e2 & op(e0, e1) = e2
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16999) implies:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17000)  op(e0, e1) = e2
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17001)  all_54_13 = e3
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (16895), (17001) are inconsistent by
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1302.
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17002)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17002) gives:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17003)  all_54_13 = e2
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (16630), (17003) are inconsistent by
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1185.
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17004)   ~ (all_54_13 = e2)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17005)  all_54_13 = e1 | all_54_13 = e0
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16977) gives:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17006)  all_54_6 = e1
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (16614), (17006) are inconsistent by
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #940.
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17007)  all_54_6 = e0
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (17007) imply:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17008)  all_52_9 = e0
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17008) implies:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17009)  all_52_9 = e0
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (17009) imply:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17010)   ~ (all_52_13 = e0)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17010) implies:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17011)   ~ (all_52_13 = e0)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (17009) imply:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17012)  op(e2, e1) = e0
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17005) gives:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17013)  all_54_13 = e1
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (16941), (17013) are inconsistent by
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1313.
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17014)  all_54_13 = e0
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (17014) imply:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17015)  all_52_7 = e0
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17015) implies:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17016)  all_52_7 = e0
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (17016) imply:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17017)   ~ (all_52_6 = e0)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16630), (17016) imply:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17018)   ~ (e2 = e0)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16941), (17016) imply:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17019)   ~ (e1 = e0)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17020)  all_54_9 = e3
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (17020) imply:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17021)  all_52_6 = e3
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17021) implies:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17022)  all_52_6 = e3
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (17022) imply:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17023)   ~ (all_52_2 = e3)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17024)  all_54_7 = e3
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (16897), (17024) are inconsistent by
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #797.
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17025)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16901) gives:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17026)   ~ (all_38_0 = e1) & op(e3, e3) = all_38_0 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_38_0)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17026) implies:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17027)   ~ (all_38_0 = e1)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17028)  op(e3, e3) = all_38_0
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17029)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17029) gives:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17030)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17030) gives:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17031)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17031) implies:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17032)  op(e3, e2) = e3
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (16591), (16925), (17032),
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #48.
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17033)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (16613), (16943), (17033),
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #105.
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17034)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17034) implies:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17035)  op(e1, e3) = e3
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (17023), (17035), (function-axioms) are
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #855.
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17036)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17036) gives:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17037)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (159),
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (225), (227), (16592), (16615), (16922),
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16929), (17037), (function-axioms) are
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1425.
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17038)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17038) implies:
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17039)  op(e3, e2) = e2
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16944), (17039), (function-axioms) are
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1424.
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17040)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17040) gives:
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17041)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (158), (16630), (17012), (17041),
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #271.
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17042)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17042) gives:
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17043)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17043) implies:
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17044)  op(e3, e1) = e1
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (16613), (17044), (function-axioms) are
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17045)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17045) gives:
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17046)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (165), (275), (16632), (17011), (17025),
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17046), (function-axioms) are inconsistent by
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #793.
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17047)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17047) implies:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17048)  op(e0, e1) = all_57_27
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17049)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17049) gives:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17050)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17050) implies:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17051)  op(e1, e0) = e1
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (16616), (17051), (function-axioms) are
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1609.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17052)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17052) implies:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17053)  op(e0, e3) = all_57_25
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17054)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (17000),
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (17048) gives:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17055)  all_57_27 = e2
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25, e3, e0, simplifying with (16975),
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (17053) gives:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17056)  all_57_25 = e1
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_38_0,
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e3, simplifying with (16591), (17028) gives:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17057)  all_38_0 = e0
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (164), (16975), (17000), (17011),
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17048), (17049), (17053), (17054), (17055),
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #842.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17058)   ~ (all_38_1 = e2) & op(e3, e0) = all_38_1 &
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_38_1)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16954), (17058), (function-axioms) are
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #42.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17059)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (16629), (16939), (17017), (17059) are
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1319.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17060)  all_56_15 = e2 & op(e0, e0) = e2
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17060) implies:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17061)  op(e0, e0) = e2
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17062)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17062) gives:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17063)  all_56_9 = e3 & op(e3, e0) = e3
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17063) implies:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17064)  all_56_9 = e3
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16918), (17064) are inconsistent by
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1576.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17065)  all_56_10 = e3 & op(e2, e0) = e3
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17065) implies:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17066)  all_56_10 = e3
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (39), (160), (210), (16592), (16616),
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16918), (17066), (function-axioms) are
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1359.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17067)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17067) gives:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17068)  all_56_11 = e3 & op(e1, e0) = e3
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17068) implies:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17069)  all_56_11 = e3
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (206), (16918), (16971), (17061),
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17069), (function-axioms) are inconsistent by
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #168.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17070)  all_56_15 = e3 & op(e0, e0) = e3
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16898), (17061), (function-axioms) are
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17071)  all_56_13 = e1 & op(e0, e2) = e1
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17071) implies:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17072)  all_56_13 = e1
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (225), (227), (16922),
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16929), (17072), (function-axioms) are
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1426.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17073)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (16615), (16898), (17073),
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #41.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17074)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17074) gives:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17075)  all_56_6 = e3 & op(e1, e3) = e3
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17075) implies:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17076)  op(e1, e3) = e3
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16957), (17076), (function-axioms) are
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1021.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17077)  all_56_12 = e3 & op(e0, e3) = e3
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (159),
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (16592), (16594), (16630),
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16898), (17077), (function-axioms) are
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #784.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17078)  all_56_7 = e2 & op(e1, e2) = e2
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17078) implies:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17079)  op(e1, e2) = e2
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (16629), (17079), (function-axioms) are
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17080)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e0) = e2)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17080) gives:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17081)  all_56_8 = e2 & op(e1, e1) = e2
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17081) implies:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17082)  op(e1, e1) = e2
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16619), (17082), (function-axioms) are
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17083)  all_56_11 = e2 & op(e1, e0) = e2
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17083) implies:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17084)  op(e1, e0) = e2
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (16953), (17084), (function-axioms) are
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #93.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17085)  all_54_3 = e1 | all_54_3 = e0
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (16587), (16943), (17085) are inconsistent
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #827.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17086)  all_54_1 = e0
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (16585), (17086) are inconsistent by
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #911.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17087)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17087) gives:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17088)  all_56_4 = e1 & op(e3, e1) = e1
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17088) implies:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17089)  op(e3, e1) = e1
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (16613), (17089), (function-axioms) are
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17090)  all_56_9 = e1 & op(e3, e0) = e1
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16918), (17090) are inconsistent by
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1565.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | |   (17091)  all_56_13 = e3 & op(e0, e2) = e3
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17091) implies:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | |   (17092)  all_56_13 = e3
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (39), (157), (158),
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (16592), (16594), (16615),
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | |            (16630), (16898), (17092), (function-axioms) are
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1356.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | |   (17093)   ~ (all_54_2 = e3)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | |   (17094)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | REDUCE: (286), (17093) imply:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | |   (17095)   ~ (all_52_8 = e3)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | BETA: splitting (17094) gives:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | |   (17096)  all_54_2 = e2
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (17096) imply:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | |   (17097)  all_52_8 = e2
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (17097) imply:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | |   (17098)   ~ (all_52_9 = e2)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (17097) imply:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | |   (17099)   ~ (all_52_11 = e2)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | SIMP: (17099) implies:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | |   (17100)   ~ (all_52_11 = e2)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (17097) imply:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | |   (17101)   ~ (all_52_12 = e2)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | SIMP: (17101) implies:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | |   (17102)   ~ (all_52_12 = e2)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | |   (17103)  all_54_14 = e3
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (16896), (17103) are inconsistent by
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1259.
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | |   (17104)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | |   (17105)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17105) gives:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | |   (17106)  all_56_12 = e2 & op(e0, e3) = e2
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17106) implies:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | |   (17107)  all_56_12 = e2
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | |   (17108)  op(e0, e3) = e2
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (17109)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 183.39/28.61  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17109) gives:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17110)  all_56_12 = e1 & op(e0, e3) = e1
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17107), (17110) are inconsistent by
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1550.
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17111)  all_56_13 = e1 & op(e0, e2) = e1
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17111) implies:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17112)  op(e0, e2) = e1
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17104) gives:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17113)  all_54_14 = e2
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (17100), (17113) are inconsistent by
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1234.
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17114)   ~ (all_54_14 = e2)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17115)  all_54_14 = e1 | all_54_14 = e0
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17115) gives:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17116)  all_54_14 = e1
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (16615), (17116) are inconsistent by
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1307.
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17117)  all_54_14 = e0
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (17117) imply:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17118)  all_52_11 = e0
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17118) implies:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17119)  all_52_11 = e0
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (17119) imply:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17120)   ~ (all_52_7 = e0)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (17119) imply:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17121)   ~ (all_52_9 = e0)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17100), (17119) imply:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17122)   ~ (e2 = e0)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17123)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (16582), (16634), (17123),
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #53.
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17124)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17124) gives:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17125)  all_56_5 = e0 & op(e2, e1) = e0
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (17121), (17125), (function-axioms) are
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1476.
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17126)  all_56_10 = e0 & op(e2, e0) = e0
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17126) implies:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17127)  op(e2, e0) = e0
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17128)  all_54_6 = e3
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (17128) imply:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17129)  all_52_9 = e3
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17129) implies:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17130)  all_52_9 = e3
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (17130) imply:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17131)   ~ (all_52_1 = e3)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (17130) imply:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17132)   ~ (all_52_13 = e3)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (17130) imply:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17133)  op(e2, e1) = e3
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17134)  all_54_4 = e3
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (17131), (17134) are inconsistent by
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1078.
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17135)   ~ (all_54_4 = e3)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17136)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17136) gives:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17137)  all_54_4 = e2
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (16627), (17137) are inconsistent by
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1084.
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17138)   ~ (all_54_4 = e2)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17139)  all_54_4 = e1 | all_54_4 = e0
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17140)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (169), (200), (284), (16582), (16627),
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17095), (17108), (17127), (17131), (17140),
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #40.
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17141)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17141) gives:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17142)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17142) gives:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17143)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17143) implies:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17144)  op(e2, e1) = e2
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (198), (276), (16631), (17121), (17144),
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1145.
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17145)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_20) =
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17145) implies:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17146)  op(e0, e2) = e2
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17112), (17146), (function-axioms) are
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #279.
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.39/28.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17147)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17147) gives:
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.39/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17148)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17148) implies:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17149)  op(e3, e1) = e1
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (16613), (17149), (function-axioms) are
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17150)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17150) gives:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17151)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17151) implies:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17152)  op(e2, e1) = e1
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17133), (17152), (function-axioms) are
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17153)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17153) implies:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17154)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17155)  all_54_13 = e3
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (16895), (17155) are inconsistent by
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1302.
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17156)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17156) gives:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17157)  all_54_13 = e2
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (16630), (17157) are inconsistent by
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1185.
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17158)  all_54_13 = e1 | all_54_13 = e0
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17139) gives:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17159)  all_54_4 = e1
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (17159) imply:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17160)  all_52_1 = e1
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17160) implies:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17161)  all_52_1 = e1
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (17161) imply:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17162)   ~ (all_52_13 = e1)
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17162) implies:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17163)   ~ (all_52_13 = e1)
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17164)  all_54_7 = e3
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (16897), (17164) are inconsistent by
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #797.
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17165)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17158) gives:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17166)  all_54_13 = e1
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (17166) imply:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17167)  all_52_7 = e1
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17167) implies:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17168)  all_52_7 = e1
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (17168) imply:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17169)   ~ (all_52_4 = e1)
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17170)  all_54_1 = e3
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (17170) imply:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17171)  all_52_4 = e3
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17171) implies:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17172)  all_52_4 = e3
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (17172) imply:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17173)   ~ (all_52_6 = e3)
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17173) implies:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17174)   ~ (all_52_6 = e3)
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (17172) imply:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17175)   ~ (all_52_12 = e3)
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17175) implies:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17176)   ~ (all_52_12 = e3)
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17154) gives:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17177)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17177) implies:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17178)  op(e1, e0) = e1
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (16616), (17178), (function-axioms) are
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1609.
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17179)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17179) implies:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17180)  op(e0, e2) = all_57_26
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17165) gives:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17181)  all_54_7 = e2
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (16632), (17181) are inconsistent by
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #795.
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17182)  all_54_7 = e1 | all_54_7 = e0
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17182) gives:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17183)  all_54_7 = e1
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (17163), (17183) are inconsistent by
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #947.
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17184)  all_54_7 = e0
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (17184) imply:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17185)  all_52_13 = e0
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17185) implies:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17186)  all_52_13 = e0
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17163), (17186) imply:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17187)   ~ (e1 = e0)
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26, e2, e0, simplifying with (17112),
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (17180) gives:
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17188)  all_57_26 = e1
% 183.49/28.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (113), (126), (128), (160), (164),
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (195), (201), (210), (263), (273), (285),
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16587), (16592), (16616), (16629), (17102),
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17120), (17154), (17158), (17174), (17176),
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17188), (function-axioms) are inconsistent by
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #38.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17189)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (16585), (16628), (17169), (17189) are
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1057.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17190)  all_54_13 = e0
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (17120), (17190) are inconsistent by
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1312.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17191)  all_54_4 = e0
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (16582), (17191) are inconsistent by
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #924.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17192)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (16614), (16631), (17121), (17192) are
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #200.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (17193)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (16615), (16898), (17193),
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | |            #41.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | |   (17194)  all_56_13 = e2 & op(e0, e2) = e2
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17194) implies:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | |   (17195)  op(e0, e2) = e2
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (16630), (17195), (function-axioms) are
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | |   (17196)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17196) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | |   (17197)  all_56_14 = e2 & op(e0, e1) = e2
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (17100), (17197), (function-axioms) are
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #245.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | |   (17198)  all_56_15 = e2 & op(e0, e0) = e2
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17198) implies:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | |   (17199)  op(e0, e0) = e2
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16898), (17199), (function-axioms) are
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | |   (17200)  all_54_2 = e1 | all_54_2 = e0
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (16586), (16613), (17200) are inconsistent
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1324.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | |   (17201)  all_54_5 = e1 | all_54_5 = e0
% 183.49/28.64  | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (16597), (16621), (17201) are inconsistent
% 183.49/28.64  | | | | | | | | | | | | | | | | |            by sub-proof #1353.
% 183.49/28.64  | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | |   (17202)  all_28_2 = e1
% 183.49/28.64  | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | COMBINE_EQS: (329), (17202) imply:
% 183.49/28.64  | | | | | | | | | | | | | | |   (17203)  all_10_2 = e1
% 183.49/28.64  | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | SIMP: (17203) implies:
% 183.49/28.64  | | | | | | | | | | | | | | |   (17204)  all_10_2 = e1
% 183.49/28.64  | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | COMBINE_EQS: (313), (17204) imply:
% 183.49/28.64  | | | | | | | | | | | | | | |   (17205)  all_46_2 = e1
% 183.49/28.64  | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | REDUCE: (362), (17204) imply:
% 183.49/28.64  | | | | | | | | | | | | | | |   (17206)   ~ (all_52_1 = e1)
% 183.49/28.64  | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | REDUCE: (373), (17204) imply:
% 183.49/28.64  | | | | | | | | | | | | | | |   (17207)   ~ (all_52_13 = e1)
% 183.49/28.64  | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | REDUCE: (45), (17204) imply:
% 183.49/28.64  | | | | | | | | | | | | | | |   (17208)  op(e2, e2) = e1
% 183.49/28.64  | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | Case 1:
% 183.49/28.64  | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | |   (17209)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 183.49/28.64  | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 183.49/28.64  | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | BETA: splitting (17209) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.64  | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | |   (17210)  all_56_9 = e1 & op(e3, e0) = e1
% 183.49/28.64  | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | ALPHA: (17210) implies:
% 183.49/28.64  | | | | | | | | | | | | | | | | |   (17211)  all_56_9 = e1
% 183.49/28.64  | | | | | | | | | | | | | | | | |   (17212)  op(e3, e0) = e1
% 183.49/28.64  | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | |   (17213)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 183.49/28.64  | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e1)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | BETA: splitting (17213) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | |   (17214)  all_56_0 = e1 & op(e3, e3) = e1
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | ALPHA: (17214) implies:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | |   (17215)  op(e3, e3) = e1
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16591), (17215), (function-axioms) are
% 183.49/28.64  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #49.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | |   (17216)  all_56_2 = e1 & op(e2, e3) = e1
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (17206), (17216), (function-axioms) are
% 183.49/28.64  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1352.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | End of split
% 183.49/28.64  | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | |   (17217)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 183.49/28.64  | | | | | | | | | | | | | | | | | |              e1 & op(e0, e3) = e1)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | BETA: splitting (17217) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | |   (17218)  all_56_6 = e1 & op(e1, e3) = e1
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | ALPHA: (17218) implies:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | |   (17219)  op(e1, e3) = e1
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (16612), (17219), (function-axioms) are
% 183.49/28.64  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1597.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | |   (17220)  all_56_12 = e1 & op(e0, e3) = e1
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | ALPHA: (17220) implies:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | |   (17221)  all_56_12 = e1
% 183.49/28.64  | | | | | | | | | | | | | | | | | | |   (17222)  op(e0, e3) = e1
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | |   (17223)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (16591), (17208), (17223),
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | |            #37.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | |   (17224)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_26 & $i(all_57_26))
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | BETA: splitting (17224) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | |   (17225)  all_57_30 = e2 & op(e1, e1) = e2
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | ALPHA: (17225) implies:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | |   (17226)  op(e1, e1) = e2
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16619), (17226), (function-axioms) are
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | |   (17227)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | |              (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26))
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17227) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | |   (17228)  all_57_31 = e2 & op(e0, e0) = e2
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17228) implies:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | |   (17229)  op(e0, e0) = e2
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16594), (17229), (function-axioms) are
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | |   (17230)   ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_26)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17230) implies:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | |   (17231)   ~ (all_57_26 = e0)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | |   (17232)  op(e0, e2) = all_57_26
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | |   (17233)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (16591), (17208), (17233),
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | |            #37.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | |   (17234)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_29 & $i(all_57_29))
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17234) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | |   (17235)  all_57_30 = e2 & op(e1, e1) = e2
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17235) implies:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | |   (17236)  op(e1, e1) = e2
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16619), (17236), (function-axioms) are
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | |   (17237)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29))
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17237) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (17238)  all_57_31 = e2 & op(e0, e0) = e2
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17238) implies:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (17239)  op(e0, e0) = e2
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16594), (17239), (function-axioms) are
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (17240)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17240) implies:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (17241)   ~ (all_57_29 = e2)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (17242)  op(e2, e2) = all_57_29
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17243)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16591), (17241), (17242), (17243),
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | |            #36.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17244)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e2) = all_57_16 & $i(all_57_16))
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17244) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17245)  all_57_30 = e2 & op(e1, e1) = e2
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17245) implies:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17246)  op(e1, e1) = e2
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16619), (17246), (function-axioms) are
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17247)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16))
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17247) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17248)  all_57_31 = e2 & op(e0, e0) = e2
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17248) implies:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17249)  op(e0, e0) = e2
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16594), (17249), (function-axioms) are
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17250)   ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17250) implies:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17251)   ~ (all_57_16 = e3)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17252)  op(e3, e2) = all_57_16
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26, e2, e0, simplifying with (158), (17232)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17253)  all_57_26 = all_52_7
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (17222) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17254)  all_52_3 = e1
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29, e2, e2, simplifying with (17208),
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (17242) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17255)  all_57_29 = e1
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e3, simplifying with (168), (17212) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17256)  all_52_12 = e1
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16, e2, e3, simplifying with (170), (17252)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17257)  all_57_16 = all_52_4
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17251), (17257) imply:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17258)   ~ (all_52_4 = e3)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17231), (17253) imply:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17259)   ~ (all_52_7 = e0)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (17254) imply:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17260)   ~ (all_52_7 = e1)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17260) implies:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17261)   ~ (all_52_7 = e1)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (17254) imply:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17262)   ~ (all_52_11 = e1)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (17256) imply:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17263)   ~ (all_52_4 = e1)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (17256) imply:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17264)   ~ (all_52_14 = e1)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (17256) imply:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17265)   ~ (all_6_2 = e1)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17266)  all_54_1 = e3
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (17266) imply:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17267)  all_52_4 = e3
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17258), (17267) imply:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17268)  $false
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17268) is inconsistent.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17269)   ~ (all_54_1 = e3)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17270)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17271)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (16585), (17208), (17271),
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #35.
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17272)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17272) gives:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17273)  all_56_7 = e0 & op(e1, e2) = e0
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17273) implies:
% 183.49/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17274)  all_56_7 = e0
% 183.49/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17275)  op(e1, e2) = e0
% 183.49/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 183.49/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.49/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.49/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17276)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (17208), (17258), (17276),
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1135.
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17277)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17277) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17278)  all_56_7 = e3 & op(e1, e2) = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17274), (17278) are inconsistent by
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1495.
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17279)  all_56_13 = e3 & op(e0, e2) = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17279) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17280)  all_56_13 = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17281)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (17221), (17280), (17281) are
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #381.
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17282)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17282) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17283)  all_56_14 = e2 & op(e0, e1) = e2
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17283) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17284)  all_56_14 = e2
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17285)  all_56_15 = e0 & op(e0, e0) = e0
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17285) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17286)  op(e0, e0) = e0
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17287)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (16591), (17258), (17287),
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #45.
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17288)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17288) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17289)  all_56_4 = e3 & op(e3, e1) = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17289) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17290)  op(e3, e1) = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17270) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17291)  all_54_1 = e2
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (17291) imply:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17292)  all_52_4 = e2
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17292) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17293)  all_52_4 = e2
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17257), (17293) imply:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17294)  all_57_16 = e2
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (17293) imply:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17295)   ~ (all_52_7 = e2)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17295) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17296)   ~ (all_52_7 = e2)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (17293) imply:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17297)  op(e3, e2) = e2
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17298)  all_54_13 = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (17298) imply:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17299)  all_52_7 = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17299) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17300)  all_52_7 = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (17300) imply:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17301)   ~ (all_6_2 = e3)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17301) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17302)   ~ (all_6_2 = e3)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17303)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17303) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17304)  all_56_4 = e0 & op(e3, e1) = e0
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17304) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17305)  op(e3, e1) = e0
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (17290), (17305), (function-axioms)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1577.
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17306)  all_56_5 = e0 & op(e2, e1) = e0
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17306) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17307)  op(e2, e1) = e0
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17308)   ~ (all_46_2 = e1)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17205), (17308) imply:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17309)  $false
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17309) is inconsistent.
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17310)  ( ~ (all_46_0 = e3) & op(e1, e1) = all_46_0 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_46_0)) | ( ~ (all_46_1 = e0) & op(e1, e2)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_46_1 & $i(all_46_1))
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17310) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17311)   ~ (all_46_0 = e3) & op(e1, e1) = all_46_0 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_46_0)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17311) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17312)   ~ (all_46_0 = e3)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17313)  op(e1, e1) = all_46_0
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17314)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17314) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17315)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17315) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17316)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17316) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17317)  op(e3, e2) = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17297), (17317), (function-axioms) are
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #166.
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17318)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17318) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17319)   ~ (all_57_1 = e2)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17320)  op(e3, all_57_16) = all_57_1
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17252), (17294), (17319), (17320),
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #355.
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17321)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17321) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17322)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17322) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17323)  op(e0, e3) = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (39), (159), (207), (16592), (17280),
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17284), (17323), (function-axioms) are
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1457.
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17324)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17324) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17325)   ~ (all_57_29 = e3)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17326)  op(e2, e3) = e2
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17327)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17327) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17328)  all_57_28 = e3 & op(e3, e3) = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17328) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17329)  op(e3, e3) = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16591), (17329), (function-axioms) are
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #55.
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17330)  all_57_29 = e3 & op(e2, e2) = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17330) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17331)  op(e2, e2) = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17242), (17325), (17331), (function-axioms) are
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #130.
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17332)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & $i(all_57_28))
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17332) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17333)  all_57_30 = e3 & op(e1, e1) = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17333) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17334)  op(e1, e1) = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17312), (17313), (17334), (function-axioms) are
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #781.
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17335)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28))
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17335) gives:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17336)  all_57_31 = e3 & op(e0, e0) = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17336) implies:
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17337)  op(e0, e0) = e3
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (39), (157), (158),
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (206), (207), (208), (16592), (16594), (16615),
% 183.53/28.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17280), (17296), (17337), (function-axioms) are
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1356.
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17338)   ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17338) implies:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17339)   ~ (all_57_28 = e3)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17340)  op(e3, e3) = all_57_28
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17341)  all_54_15 = e3
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (17302), (17341) are inconsistent by
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1608.
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17342)   ~ (all_54_15 = e3)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17343)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17343) gives:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17344)  all_54_15 = e2
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (16594), (17344) are inconsistent by
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1607.
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17345)  all_54_15 = e1 | all_54_15 = e0
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17346)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17346) gives:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17347)  all_57_28 = e3 & op(e3, e3) = e3
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17347) implies:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17348)  op(e3, e3) = e3
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17339), (17340), (17348), (function-axioms) are
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1539.
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17349)  all_57_29 = e3 & op(e2, e2) = e3
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17349) implies:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17350)  op(e2, e2) = e3
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17242), (17325), (17350), (function-axioms) are
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #130.
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17351)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & $i(all_57_19))
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17351) gives:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17352)  all_57_30 = e3 & op(e1, e1) = e3
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17352) implies:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17353)  op(e1, e1) = e3
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17312), (17313), (17353), (function-axioms) are
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #781.
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17354)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19))
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17354) gives:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17355)  all_57_31 = e3 & op(e0, e0) = e3
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17355) implies:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17356)  op(e0, e0) = e3
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (261), (16592), (17302), (17345), (17356),
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1291.
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17357)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17357) implies:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17358)   ~ (all_57_19 = e2)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17359)  op(e2, e3) = all_57_19
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17326), (17358), (17359), (function-axioms) are
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #180.
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17360)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17360) gives:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17361)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (158), (17296), (17307), (17361),
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #271.
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17362)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17362) gives:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17363)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17363) implies:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17364)  op(e3, e1) = e1
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (16613), (17364), (function-axioms) are
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17365)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17365) gives:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17366)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17366) implies:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17367)  op(e2, e1) = e1
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (16614), (17367), (function-axioms) are
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17368)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17368) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17369)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17370)  all_54_15 = e3
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (17302), (17370) are inconsistent by
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1608.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17371)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (261), (384), (385), (16592),
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16594), (16616), (17222), (17369), (17371),
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #46.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17372)   ~ (all_46_1 = e0) & op(e1, e2) = all_46_1 &
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_46_1)
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17372) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17373)   ~ (all_46_1 = e0)
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17374)  op(e1, e2) = all_46_1
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17275), (17373), (17374), (function-axioms) are
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #836.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17375)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17375) gives:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17376)  all_56_8 = e0 & op(e1, e1) = e0
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17376) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17377)  op(e1, e1) = e0
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16619), (17377), (function-axioms) are
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17378)  all_56_14 = e0 & op(e0, e1) = e0
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17378) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17379)  all_56_14 = e0
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (39), (135), (158), (170), (208),
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16594), (17221), (17297), (17379),
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1299.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17380)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (17259), (17261), (17296), (17380) are
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1116.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17381)  all_54_1 = e1 | all_54_1 = e0
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (16585), (17263), (17381) are inconsistent
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1058.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17382)  all_56_9 = e3 & op(e3, e0) = e3
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17382) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17383)  all_56_9 = e3
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17211), (17383) imply:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17384)  e3 = e1
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17280), (17384) imply:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17385)  all_56_13 = e1
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (159), (209), (17222), (17284),
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17286), (17385), (function-axioms) are
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #858.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17386)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17386) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17387)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (39), (157), (158), (207), (16592),
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16615), (17259), (17280), (17284), (17387),
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1441.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17388)  all_56_15 = e2 & op(e0, e0) = e2
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17388) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17389)  op(e0, e0) = e2
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16594), (17389), (function-axioms) are
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17390)  all_56_13 = e0 & op(e0, e2) = e0
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17390) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17391)  op(e0, e2) = e0
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (17259), (17391), (function-axioms) are
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1463.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | |   (17392)  all_56_10 = e1 & op(e2, e0) = e1
% 183.53/28.67  | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | ALPHA: (17392) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | |   (17393)  op(e2, e0) = e1
% 183.53/28.67  | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (17207), (17393), (function-axioms) are
% 183.53/28.67  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1273.
% 183.53/28.67  | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | |   (17394)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 183.53/28.67  | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 183.53/28.67  | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (16592), (16616), (17394),
% 183.53/28.67  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.67  | | | | | | | | | | | | | | | |            #1488.
% 183.53/28.67  | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | |   (17395)  all_54_10 = e0
% 183.53/28.67  | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | REF_CLOSE: (349), (16602), (17395) are inconsistent by
% 183.53/28.67  | | | | | | | | | | | | | |            sub-proof #1618.
% 183.53/28.67  | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | |   (17396)  all_26_2 = e0
% 183.53/28.67  | | | | | | | | | | |   (17397)  ( ~ (all_26_0 = e3) & op(e0, e0) = all_26_0 &
% 183.53/28.67  | | | | | | | | | | |              $i(all_26_0)) | ( ~ (all_26_1 = e2) & op(e0, e1)
% 183.53/28.67  | | | | | | | | | | |              = all_26_1 & $i(all_26_1))
% 183.53/28.67  | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | COMBINE_EQS: (318), (17396) imply:
% 183.53/28.67  | | | | | | | | | | |   (17398)  all_14_2 = e0
% 183.53/28.67  | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | SIMP: (17398) implies:
% 183.53/28.67  | | | | | | | | | | |   (17399)  all_14_2 = e0
% 183.53/28.67  | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | REDUCE: (374), (17399) imply:
% 183.53/28.67  | | | | | | | | | | |   (17400)   ~ (all_52_6 = e0)
% 183.53/28.67  | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | REDUCE: (377), (17399) imply:
% 183.53/28.67  | | | | | | | | | | |   (17401)   ~ (all_52_9 = e0)
% 183.53/28.67  | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | REDUCE: (16600), (17399) imply:
% 183.53/28.67  | | | | | | | | | | |   (17402)   ~ (e2 = e0)
% 183.53/28.67  | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | REDUCE: (51), (17399) imply:
% 183.53/28.67  | | | | | | | | | | |   (17403)  op(e1, e1) = e0
% 183.53/28.67  | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | BETA: splitting (225) gives:
% 183.53/28.67  | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | |   (17404)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 183.53/28.67  | | | | | | | | | | | |              & op(e2, e2) = e0)
% 183.53/28.67  | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | BETA: splitting (17404) gives:
% 183.53/28.67  | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | |   (17405)  all_56_1 = e0 & op(e3, e2) = e0
% 183.53/28.67  | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | REF_CLOSE: (170), (16585), (17405), (function-axioms) are
% 183.53/28.67  | | | | | | | | | | | | |            inconsistent by sub-proof #1466.
% 183.53/28.67  | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | |   (17406)  all_56_3 = e0 & op(e2, e2) = e0
% 183.53/28.67  | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | ALPHA: (17406) implies:
% 183.53/28.67  | | | | | | | | | | | | |   (17407)  op(e2, e2) = e0
% 183.53/28.67  | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | REF_CLOSE: (45), (16597), (17407), (function-axioms) are
% 183.53/28.67  | | | | | | | | | | | | |            inconsistent by sub-proof #1623.
% 183.53/28.67  | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | End of split
% 183.53/28.67  | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | |   (17408)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 183.53/28.67  | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 183.53/28.67  | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | BETA: splitting (17408) gives:
% 183.53/28.67  | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | |   (17409)  all_56_7 = e0 & op(e1, e2) = e0
% 183.53/28.67  | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | REF_CLOSE: (162), (17400), (17409), (function-axioms) are
% 183.53/28.67  | | | | | | | | | | | | |            inconsistent by sub-proof #1199.
% 183.53/28.67  | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | |   (17410)  all_56_13 = e0 & op(e0, e2) = e0
% 183.53/28.67  | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | ALPHA: (17410) implies:
% 183.53/28.67  | | | | | | | | | | | | |   (17411)  all_56_13 = e0
% 183.53/28.67  | | | | | | | | | | | | |   (17412)  op(e0, e2) = e0
% 183.53/28.67  | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | BETA: splitting (221) gives:
% 183.53/28.67  | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | |   (17413)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 183.53/28.67  | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 183.53/28.67  | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | REF_CLOSE: (45), (167), (16582), (16597), (17413),
% 183.53/28.67  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.67  | | | | | | | | | | | | | |            #34.
% 183.53/28.67  | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | |   (17414)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 183.53/28.67  | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 183.53/28.67  | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | BETA: splitting (17414) gives:
% 183.53/28.67  | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | |   (17415)  all_56_5 = e0 & op(e2, e1) = e0
% 183.53/28.67  | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | REF_CLOSE: (165), (17401), (17415), (function-axioms) are
% 183.53/28.67  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1476.
% 183.53/28.67  | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | |   (17416)  all_56_10 = e0 & op(e2, e0) = e0
% 183.53/28.67  | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | ALPHA: (17416) implies:
% 183.53/28.67  | | | | | | | | | | | | | | |   (17417)  op(e2, e0) = e0
% 183.53/28.67  | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 183.53/28.67  | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (17412) gives:
% 183.53/28.67  | | | | | | | | | | | | | | |   (17418)  all_52_7 = e0
% 183.53/28.67  | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 183.53/28.67  | | | | | | | | | | | | | | |              e0, e0, e2, simplifying with (164), (17417) gives:
% 183.53/28.67  | | | | | | | | | | | | | | |   (17419)  all_52_13 = e0
% 183.53/28.67  | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | REDUCE: (125), (17418) imply:
% 183.53/28.67  | | | | | | | | | | | | | | |   (17420)   ~ (all_52_11 = e0)
% 183.53/28.67  | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | SIMP: (17420) implies:
% 183.53/28.67  | | | | | | | | | | | | | | |   (17421)   ~ (all_52_11 = e0)
% 183.53/28.67  | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | REDUCE: (373), (17419) imply:
% 183.53/28.67  | | | | | | | | | | | | | | |   (17422)   ~ (all_10_2 = e0)
% 183.53/28.67  | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | REDUCE: (384), (17419) imply:
% 183.53/28.67  | | | | | | | | | | | | | | |   (17423)   ~ (all_6_2 = e0)
% 183.53/28.67  | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | SIMP: (17423) implies:
% 183.53/28.67  | | | | | | | | | | | | | | |   (17424)   ~ (all_6_2 = e0)
% 183.53/28.67  | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 183.53/28.67  | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | |   (17425)  all_54_15 = e3
% 183.53/28.67  | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (17425) imply:
% 183.53/28.67  | | | | | | | | | | | | | | | |   (17426)  all_6_2 = e3
% 183.53/28.67  | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | SIMP: (17426) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | |   (17427)  all_6_2 = e3
% 183.53/28.67  | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | REDUCE: (364), (17427) imply:
% 183.53/28.67  | | | | | | | | | | | | | | | |   (17428)   ~ (all_52_3 = e3)
% 183.53/28.67  | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | REDUCE: (382), (17427) imply:
% 183.53/28.67  | | | | | | | | | | | | | | | |   (17429)   ~ (all_52_11 = e3)
% 183.53/28.67  | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | REDUCE: (39), (17427) imply:
% 183.53/28.67  | | | | | | | | | | | | | | | |   (17430)  op(e0, e0) = e3
% 183.53/28.67  | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | BETA: splitting (17397) gives:
% 183.53/28.67  | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | |   (17431)   ~ (all_26_0 = e3) & op(e0, e0) = all_26_0 &
% 183.53/28.67  | | | | | | | | | | | | | | | | |            $i(all_26_0)
% 183.53/28.67  | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | ALPHA: (17431) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | |   (17432)   ~ (all_26_0 = e3)
% 183.53/28.67  | | | | | | | | | | | | | | | | |   (17433)  op(e0, e0) = all_26_0
% 183.53/28.67  | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | REF_CLOSE: (17430), (17432), (17433), (function-axioms) are
% 183.53/28.67  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1191.
% 183.53/28.67  | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | |   (17434)   ~ (all_26_1 = e2) & op(e0, e1) = all_26_1 &
% 183.53/28.67  | | | | | | | | | | | | | | | | |            $i(all_26_1)
% 183.53/28.67  | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | ALPHA: (17434) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | |   (17435)   ~ (all_26_1 = e2)
% 183.53/28.67  | | | | | | | | | | | | | | | | |   (17436)  op(e0, e1) = all_26_1
% 183.53/28.67  | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 183.53/28.67  | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | |   (17437)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 183.53/28.67  | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 183.53/28.67  | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | BETA: splitting (17437) gives:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | |   (17438)  all_57_28 = e2 & op(e3, e3) = e2
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | ALPHA: (17438) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | |   (17439)  op(e3, e3) = e2
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16591), (17439), (function-axioms) are
% 183.53/28.67  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #50.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | |   (17440)  all_57_29 = e2 & op(e2, e2) = e2
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | ALPHA: (17440) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | |   (17441)  all_57_29 = e2
% 183.53/28.67  | | | | | | | | | | | | | | | | | | |   (17442)  op(e2, e2) = e2
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | |   (17443)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (16591), (17442), (17443),
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | |            #33.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | |   (17444)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_30 & $i(all_57_30))
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | BETA: splitting (17444) gives:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | |   (17445)  all_57_30 = e1 & op(e1, e1) = e1
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | ALPHA: (17445) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | |   (17446)  op(e1, e1) = e1
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17403), (17446), (function-axioms) are
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | |   (17447)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_30))
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17447) gives:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | |   (17448)  all_57_31 = e1 & op(e0, e0) = e1
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17448) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | |   (17449)  op(e0, e0) = e1
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17430), (17449), (function-axioms) are
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | |   (17450)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17450) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | |   (17451)   ~ (all_57_30 = e1)
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | |   (17452)  op(e1, e1) = all_57_30
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | |   (17453)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (16591), (17442), (17453),
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | |            #33.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | |   (17454)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = all_57_27 & $i(all_57_27))
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17454) gives:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | |   (17455)  all_57_30 = e1 & op(e1, e1) = e1
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17455) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | |   (17456)  op(e1, e1) = e1
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17451), (17452), (17456), (function-axioms) are
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | |   (17457)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_27))
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17457) gives:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (17458)  all_57_31 = e1 & op(e0, e0) = e1
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17458) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (17459)  op(e0, e0) = e1
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17430), (17459), (function-axioms) are
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (17460)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_27)
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17460) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (17461)  op(e0, e1) = all_57_27
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17462)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (16591), (17442), (17462),
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | |            #33.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17463)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & $i(all_57_17))
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17463) gives:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17464)  all_57_30 = e1 & op(e1, e1) = e1
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17464) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17465)  op(e1, e1) = e1
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17451), (17452), (17465), (function-axioms) are
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17466)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_17))
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17466) gives:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17467)  all_57_31 = e1 & op(e0, e0) = e1
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17467) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17468)  op(e0, e0) = e1
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17430), (17468), (function-axioms) are
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17469)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17)
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17469) implies:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17470)  op(e3, e1) = all_57_17
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17471)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (16591), (17442), (17471),
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #33.
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17472)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_20 & $i(all_57_20))
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17472) gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17473)  all_57_30 = e1 & op(e1, e1) = e1
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17473) implies:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17474)  op(e1, e1) = e1
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17451), (17452), (17474), (function-axioms) are
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17475)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20))
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17475) gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17476)  all_57_31 = e1 & op(e0, e0) = e1
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17476) implies:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17477)  op(e0, e0) = e1
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17430), (17477), (function-axioms) are
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17478)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17478) implies:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17479)  op(e2, e1) = all_57_20
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (157), (17461)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17480)  all_57_27 = all_52_11
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_26_1,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (17436),
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (17461) gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17481)  all_57_27 = all_26_1
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (165), (17479)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17482)  all_57_20 = all_52_9
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e2,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e2, simplifying with (45), (17442) gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17483)  all_10_2 = e2
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17, e1, e3, simplifying with (169), (17470)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17484)  all_57_17 = all_52_8
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17480), (17481) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17485)  all_52_11 = all_26_1
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17485) implies:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17486)  all_52_11 = all_26_1
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (17486) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17487)  all_54_14 = all_26_1
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (17483) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17488)   ~ (all_52_1 = e2)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (17486) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17489)   ~ (all_52_3 = all_26_1)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (17486) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17490)   ~ (all_52_9 = all_26_1)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (17483) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17491)   ~ (all_52_9 = e2)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17429), (17486) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17492)   ~ (all_26_1 = e3)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17421), (17486) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17493)   ~ (all_26_1 = e0)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16595), (17483) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17494)   ~ (e3 = e2)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17495)  all_54_14 = e3
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17487), (17492), (17495) are inconsistent by
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1179.
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17496)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17496) gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17497)  all_54_14 = e2
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17435), (17487), (17497) are inconsistent by
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1178.
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17498)   ~ (all_54_14 = e2)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17499)  all_54_14 = e1 | all_54_14 = e0
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17500)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17500) gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17501)  all_56_12 = e2 & op(e0, e3) = e2
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17501) implies:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17502)  op(e0, e3) = e2
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17499) gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17503)  all_54_14 = e1
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17487), (17503) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17504)  all_26_1 = e1
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17504) implies:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17505)  all_26_1 = e1
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17489), (17505) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17506)   ~ (all_52_3 = e1)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17490), (17505) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17507)   ~ (all_52_9 = e1)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17435), (17505) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17508)   ~ (e2 = e1)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17436), (17505) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17509)  op(e0, e1) = e1
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17510)  all_54_12 = e3
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (264), (17428), (17510) are inconsistent by
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1265.
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17511)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17512)  all_54_6 = e3
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (17512) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17513)  all_52_9 = e3
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (17513) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17514)   ~ (all_52_1 = e3)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (17513) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17515)   ~ (all_52_8 = e3)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (17513) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17516)  op(e2, e1) = e3
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17517)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17517) gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17518)  all_56_0 = e3 & op(e3, e3) = e3
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17518) implies:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17519)  op(e3, e3) = e3
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16591), (17519), (function-axioms) are
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #55.
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17520)  all_56_2 = e3 & op(e2, e3) = e3
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17520) implies:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17521)  op(e2, e3) = e3
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (17514), (17521), (function-axioms) are
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #286.
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17522)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17522) gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17523)  all_56_6 = e3 & op(e1, e3) = e3
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17523) implies:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17524)  op(e1, e3) = e3
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17525)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (169), (200), (284), (16582), (17417),
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17488), (17502), (17514), (17515), (17525),
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #40.
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17526)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17526) gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17527)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17527) gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17528)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17528) implies:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17529)  op(e2, e1) = e2
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (198), (276), (17401), (17491), (17529),
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1145.
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17530)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_20) =
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17530) implies:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17531)   ~ (all_57_29 = e0)
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17532)  op(e2, e0) = e2
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e0,
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (17417), (17532) gives:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17533)  e2 = e0
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (17533) imply:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17534)  $false
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17534) is inconsistent.
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17535)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17535) gives:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17536)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17536) implies:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17537)  op(e3, e1) = e1
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (139), (169), (190), (262), (264), (16584),
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17421), (17429), (17506), (17511), (17537),
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1254.
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17538)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17538) gives:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17539)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17539) implies:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17540)  op(e2, e1) = e1
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17516), (17540), (function-axioms) are
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1456.
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17541)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17541) implies:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17542)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (17461), (17509), (17524), (17542),
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1025.
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17543)  all_56_12 = e3 & op(e0, e3) = e3
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17543) implies:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17544)  all_56_12 = e3
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17545)  op(e0, e3) = e3
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (39), (206), (208),
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16594), (17430), (17509), (17544), (17545),
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #242.
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17546)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (276), (17401), (17491), (17507), (17546) are
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #200.
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17547)  all_54_14 = e0
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17487), (17493), (17547) are inconsistent by
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1176.
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17548)  all_56_13 = e2 & op(e0, e2) = e2
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17548) implies:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17549)  all_56_13 = e2
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17411), (17549) are inconsistent by
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1014.
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17550)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17550) gives:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17551)  all_56_14 = e2 & op(e0, e1) = e2
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17551) implies:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17552)  op(e0, e1) = e2
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17435), (17436), (17552), (function-axioms) are
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1170.
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17553)  all_56_15 = e2 & op(e0, e0) = e2
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17553) implies:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17554)  op(e0, e0) = e2
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17430), (17554), (function-axioms) are
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | |   (17555)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 183.53/28.69  | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_26 & $i(all_57_26))
% 183.53/28.69  | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | BETA: splitting (17555) gives:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | |   (17556)  all_57_30 = e2 & op(e1, e1) = e2
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | ALPHA: (17556) implies:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | |   (17557)  op(e1, e1) = e2
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17403), (17557), (function-axioms) are
% 183.53/28.69  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | |   (17558)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 183.53/28.69  | | | | | | | | | | | | | | | | | | |              (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | |              $i(all_57_26))
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | BETA: splitting (17558) gives:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | |   (17559)  all_57_31 = e2 & op(e0, e0) = e2
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | ALPHA: (17559) implies:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | |   (17560)  op(e0, e0) = e2
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17430), (17560), (function-axioms) are
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | |   (17561)   ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | |            $i(all_57_26)
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17412), (17561), (function-axioms) are
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #32.
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | |   (17562)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 183.53/28.69  | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | REF_CLOSE: (261), (16592), (16594), (17424), (17562) are
% 183.53/28.69  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #424.
% 183.53/28.69  | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | End of split
% 183.53/28.69  | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | |   (17563)  all_14_2 = e2
% 183.53/28.69  | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | REDUCE: (363), (17563) imply:
% 183.53/28.69  | | | | | | | | | |   (17564)   ~ (all_52_2 = e2)
% 183.53/28.69  | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | REDUCE: (374), (17563) imply:
% 183.53/28.69  | | | | | | | | | |   (17565)   ~ (all_52_6 = e2)
% 183.53/28.69  | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | REDUCE: (376), (17563) imply:
% 183.53/28.69  | | | | | | | | | |   (17566)   ~ (all_52_8 = e2)
% 183.53/28.69  | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | REDUCE: (377), (17563) imply:
% 183.53/28.69  | | | | | | | | | |   (17567)   ~ (all_52_9 = e2)
% 183.53/28.69  | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | REDUCE: (379), (17563) imply:
% 183.53/28.69  | | | | | | | | | |   (17568)   ~ (all_52_11 = e2)
% 183.53/28.69  | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | REDUCE: (381), (17563) imply:
% 183.53/28.69  | | | | | | | | | |   (17569)   ~ (all_52_14 = e2)
% 183.53/28.69  | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | REDUCE: (51), (17563) imply:
% 183.53/28.69  | | | | | | | | | |   (17570)  op(e1, e1) = e2
% 183.53/28.69  | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | BETA: splitting (73) gives:
% 183.53/28.69  | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | Case 1:
% 183.53/28.69  | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | |   (17571)   ~ (all_28_2 = e1)
% 183.53/28.69  | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | REDUCE: (329), (17571) imply:
% 183.53/28.69  | | | | | | | | | | |   (17572)   ~ (all_10_2 = e1)
% 183.53/28.69  | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | BETA: splitting (245) gives:
% 183.53/28.69  | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | Case 1:
% 183.53/28.69  | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | |   (17573)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.53/28.69  | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 183.53/28.69  | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | REF_CLOSE: (4), (45), (199), (283), (16591), (16595),
% 183.53/28.69  | | | | | | | | | | | |            (16597), (17572), (17573), (function-axioms) are
% 183.53/28.69  | | | | | | | | | | | |            inconsistent by sub-proof #31.
% 183.53/28.69  | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | |   (17574)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.53/28.69  | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 183.53/28.69  | | | | | | | | | | | |              op(e3, e1) = all_57_17 & $i(all_57_17))
% 183.53/28.69  | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | BETA: splitting (17574) gives:
% 183.53/28.69  | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | Case 1:
% 183.53/28.69  | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | |   (17575)  all_57_30 = e1 & op(e1, e1) = e1
% 183.53/28.69  | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | ALPHA: (17575) implies:
% 183.53/28.69  | | | | | | | | | | | | |   (17576)  op(e1, e1) = e1
% 183.53/28.69  | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | REF_CLOSE: (6), (17570), (17576), (function-axioms) are
% 183.53/28.69  | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 183.53/28.69  | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | |   (17577)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.53/28.69  | | | | | | | | | | | | |              (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 183.53/28.69  | | | | | | | | | | | | |              $i(all_57_17))
% 183.53/28.69  | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | BETA: splitting (17577) gives:
% 183.53/28.69  | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | Case 1:
% 183.53/28.69  | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | |   (17578)  all_57_31 = e1 & op(e0, e0) = e1
% 183.53/28.69  | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | ALPHA: (17578) implies:
% 183.53/28.69  | | | | | | | | | | | | | |   (17579)  op(e0, e0) = e1
% 183.53/28.69  | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | REF_CLOSE: (39), (16592), (17579), (function-axioms) are
% 183.53/28.69  | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 183.53/28.69  | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | |   (17580)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 183.53/28.69  | | | | | | | | | | | | | |            $i(all_57_17)
% 183.53/28.69  | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | ALPHA: (17580) implies:
% 183.53/28.69  | | | | | | | | | | | | | |   (17581)   ~ (all_57_17 = e3)
% 183.53/28.69  | | | | | | | | | | | | | |   (17582)  op(e3, e1) = all_57_17
% 183.53/28.69  | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 183.53/28.69  | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | Case 1:
% 183.53/28.69  | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | |   (17583)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.53/28.69  | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 183.53/28.69  | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | REF_CLOSE: (4), (45), (199), (283), (16591), (16595),
% 183.53/28.69  | | | | | | | | | | | | | | |            (16597), (17572), (17583), (function-axioms) are
% 183.53/28.69  | | | | | | | | | | | | | | |            inconsistent by sub-proof #31.
% 183.53/28.69  | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | |   (17584)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.53/28.69  | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 183.53/28.69  | | | | | | | | | | | | | | |              op(e2, e1) = all_57_20 & $i(all_57_20))
% 183.53/28.69  | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | BETA: splitting (17584) gives:
% 183.53/28.69  | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | Case 1:
% 183.53/28.69  | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | |   (17585)  all_57_30 = e1 & op(e1, e1) = e1
% 183.53/28.69  | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | ALPHA: (17585) implies:
% 183.53/28.69  | | | | | | | | | | | | | | | |   (17586)  op(e1, e1) = e1
% 183.53/28.69  | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17570), (17586), (function-axioms) are
% 183.53/28.69  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 183.53/28.69  | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | |   (17587)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.53/28.69  | | | | | | | | | | | | | | | |              (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 183.53/28.69  | | | | | | | | | | | | | | | |              $i(all_57_20))
% 183.53/28.69  | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | BETA: splitting (17587) gives:
% 183.53/28.69  | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.69  | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | |   (17588)  all_57_31 = e1 & op(e0, e0) = e1
% 183.53/28.69  | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | ALPHA: (17588) implies:
% 183.53/28.69  | | | | | | | | | | | | | | | | |   (17589)  op(e0, e0) = e1
% 183.53/28.69  | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16592), (17589), (function-axioms) are
% 183.53/28.69  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 183.53/28.69  | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | |   (17590)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 183.53/28.69  | | | | | | | | | | | | | | | | |            $i(all_57_20)
% 183.53/28.69  | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | ALPHA: (17590) implies:
% 183.53/28.69  | | | | | | | | | | | | | | | | |   (17591)   ~ (all_57_20 = e2)
% 183.53/28.69  | | | | | | | | | | | | | | | | |   (17592)  op(e2, e1) = all_57_20
% 183.53/28.69  | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 183.53/28.69  | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | |   (17593)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.53/28.69  | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 183.53/28.69  | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (45), (199), (283), (16591), (16595),
% 183.53/28.69  | | | | | | | | | | | | | | | | | |            (16597), (17572), (17593), (function-axioms) are
% 183.53/28.69  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #31.
% 183.53/28.69  | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | |   (17594)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.53/28.69  | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 183.53/28.69  | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_30 & $i(all_57_30))
% 183.53/28.69  | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | BETA: splitting (17594) gives:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | |   (17595)  all_57_30 = e1 & op(e1, e1) = e1
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.69  | | | | | | | | | | | | | | | | | | | ALPHA: (17595) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | |   (17596)  op(e1, e1) = e1
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17570), (17596), (function-axioms) are
% 183.53/28.70  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | |   (17597)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.53/28.70  | | | | | | | | | | | | | | | | | | |              (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 183.53/28.70  | | | | | | | | | | | | | | | | | | |              $i(all_57_30))
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | BETA: splitting (17597) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | |   (17598)  all_57_31 = e1 & op(e0, e0) = e1
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | ALPHA: (17598) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | |   (17599)  op(e0, e0) = e1
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16592), (17599), (function-axioms) are
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | |   (17600)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | ALPHA: (17600) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | |   (17601)   ~ (all_57_30 = e1)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | |   (17602)  op(e1, e1) = all_57_30
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | |   (17603)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (45), (199), (283), (16591), (16595),
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | |            (16597), (17572), (17603), (function-axioms) are
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #31.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | |   (17604)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = all_57_27 & $i(all_57_27))
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17604) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | |   (17605)  all_57_30 = e1 & op(e1, e1) = e1
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17605) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | |   (17606)  op(e1, e1) = e1
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17570), (17606), (function-axioms) are
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | |   (17607)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | |              (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_27))
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17607) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | |   (17608)  all_57_31 = e1 & op(e0, e0) = e1
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17608) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | |   (17609)  op(e0, e0) = e1
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16592), (17609), (function-axioms) are
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | |   (17610)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_27)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17610) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | |   (17611)   ~ (all_57_27 = e0)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | |   (17612)  op(e0, e1) = all_57_27
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | |   (17613)  all_54_5 = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (16595), (17613) are inconsistent by
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1268.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | |   (17614)   ~ (all_54_5 = e3)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | |   (17615)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17615) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (17616)  all_54_5 = e2
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (283), (17616) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (17617)  all_10_2 = e2
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17617) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (17618)  all_10_2 = e2
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (17618) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (17619)   ~ (all_52_7 = e2)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (17618) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (17620)   ~ (all_52_13 = e2)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16595), (17618) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (17621)   ~ (e3 = e2)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (17618) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (17622)  op(e2, e2) = e2
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17623)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17623) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17624)  all_56_12 = e2 & op(e0, e3) = e2
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17624) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17625)  all_56_12 = e2
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17626)  op(e0, e3) = e2
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17627)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17627) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17628)  all_56_9 = e2 & op(e3, e0) = e2
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17628) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17629)  op(e3, e0) = e2
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (157), (17612)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17630)  all_57_27 = all_52_11
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e0, simplifying with (159), (17626) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17631)  all_52_3 = e2
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30, e1, e1, simplifying with (17570),
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (17602) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17632)  all_57_30 = e2
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (165), (17592)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17633)  all_57_20 = all_52_9
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e3, simplifying with (168), (17629) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17634)  all_52_12 = e2
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17, e1, e3, simplifying with (169), (17582)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17635)  all_57_17 = all_52_8
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17581), (17635) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17636)   ~ (all_52_8 = e3)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17611), (17630) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17637)   ~ (all_52_11 = e0)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (17631) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17638)   ~ (all_52_11 = e2)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (17634) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17639)   ~ (all_52_4 = e2)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (17634) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17640)   ~ (all_6_2 = e2)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17641)  all_54_2 = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (17636), (17641) are inconsistent by
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1335.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17642)   ~ (all_54_2 = e3)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17643)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17644)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17644) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17645)  all_56_4 = e0 & op(e3, e1) = e0
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17645) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17646)  op(e3, e1) = e0
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (16586), (17582), (17646),
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1157.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17647)  all_56_5 = e0 & op(e2, e1) = e0
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17647) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17648)  all_56_5 = e0
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17649)  op(e2, e1) = e0
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17650)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17650) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17651)  all_56_4 = e3 & op(e3, e1) = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17651) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17652)  op(e3, e1) = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (17636), (17652), (function-axioms) are
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17653)  all_56_5 = e3 & op(e2, e1) = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17648), (17653) are inconsistent by
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1332.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17654)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17654) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17655)  all_56_8 = e3 & op(e1, e1) = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17655) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17656)  op(e1, e1) = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (16599), (17656), (function-axioms) are
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17657)  all_56_14 = e3 & op(e0, e1) = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17657) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17658)  all_56_14 = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17659)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17659) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17660)  all_56_12 = e1 & op(e0, e3) = e1
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17660) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17661)  all_56_12 = e1
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17625), (17661) are inconsistent by
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1383.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17662)  all_56_13 = e1 & op(e0, e2) = e1
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17662) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17663)  all_56_13 = e1
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17664)  op(e0, e2) = e1
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17665)  all_56_15 = e0 & op(e0, e0) = e0
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17665) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17666)  op(e0, e0) = e0
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17643) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17667)  all_54_2 = e2
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (17667) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17668)  all_52_8 = e2
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17566), (17668) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17669)  $false
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17669) is inconsistent.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17670)   ~ (all_54_2 = e2)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17671)  all_54_2 = e1 | all_54_2 = e0
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17671) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17672)  all_54_2 = e1
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (17672) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17673)  all_52_8 = e1
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17635), (17673) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17674)  all_57_17 = e1
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (17673) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17675)   ~ (all_52_4 = e1)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (17673) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17676)   ~ (all_52_9 = e1)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17676) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17677)   ~ (all_52_9 = e1)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (17673) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17678)   ~ (all_52_11 = e1)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17678) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17679)   ~ (all_52_11 = e1)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17566), (17673) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17680)   ~ (e2 = e1)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17681)  all_54_14 = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (17681) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17682)  all_52_11 = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17682) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17683)  all_52_11 = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17630), (17683) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17684)  all_57_27 = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (382), (17683) imply:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17685)   ~ (all_6_2 = e3)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17685) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17686)   ~ (all_6_2 = e3)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17687)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (16591), (17622), (17687),
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #54.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17688)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & $i(all_57_19))
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17688) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17689)  all_57_30 = e3 & op(e1, e1) = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17689) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17690)  op(e1, e1) = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (165), (217),
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (17567), (17592), (17601), (17602),
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17612), (17637), (17658), (17690),
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #238.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17691)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19))
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17691) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17692)  all_57_31 = e3 & op(e0, e0) = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17692) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17693)  op(e0, e0) = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17666), (17693), (function-axioms) are
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17694)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17694) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17695)   ~ (all_57_19 = e2)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17696)  op(e2, e3) = all_57_19
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17697)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (16591), (17622), (17697),
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #54.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17698)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_22 & $i(all_57_22))
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17698) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17699)  all_57_30 = e3 & op(e1, e1) = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17699) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17700)  op(e1, e1) = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (165), (217),
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (17567), (17592), (17601), (17602),
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17612), (17637), (17658), (17700),
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #238.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17701)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22))
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17701) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17702)  all_57_31 = e3 & op(e0, e0) = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17702) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17703)  op(e0, e0) = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17666), (17703), (function-axioms) are
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17704)   ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17704) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17705)   ~ (all_57_22 = e1)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17706)  op(e1, e3) = all_57_22
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17707)  all_54_15 = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (17686), (17707) are inconsistent by
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1608.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17708)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17709)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (16591), (17622), (17709),
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #54.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17710)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & $i(all_57_25))
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17710) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17711)  all_57_30 = e3 & op(e1, e1) = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17711) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17712)  op(e1, e1) = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (165), (217),
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (219), (17567), (17592), (17601), (17602),
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17612), (17637), (17658), (17712),
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #238.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17713)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_25))
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17713) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17714)  all_57_31 = e3 & op(e0, e0) = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17714) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17715)  op(e0, e0) = e3
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17666), (17715), (function-axioms) are
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17716)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_25)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17716) implies:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17717)   ~ (all_57_25 = e0)
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17708) gives:
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17718)  all_54_15 = e2
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (16594), (17718) are inconsistent by
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1607.
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17719)   ~ (all_54_15 = e2)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17720)  all_54_15 = e1 | all_54_15 = e0
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17720) gives:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17721)  all_54_15 = e1
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (16592), (17721) are inconsistent by
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1606.
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17722)  all_54_15 = e0
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (17722) imply:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17723)  all_6_2 = e0
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17723) implies:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17724)  all_6_2 = e0
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (17724) imply:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17725)   ~ (all_52_13 = e0)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (17724) imply:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17726)   ~ (all_52_14 = e0)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16594), (17724) imply:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17727)   ~ (e2 = e0)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17728)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17728) gives:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17729)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17729) gives:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17730)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17730) implies:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17731)   ~ (all_57_2 = e1)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17732)  op(e3, all_57_17) = all_57_2
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17582), (17674), (17731), (17732),
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #847.
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17733)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17733) implies:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17734)  op(e3, e1) = e3
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (169), (203), (287), (16585), (17639),
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17675), (17734), (function-axioms) are
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1047.
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17735)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17626), (17695), (17696), (17735),
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #52.
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17736)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17736) gives:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17737)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (17649), (17664), (17737),
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #51.
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17738)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17738) gives:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17739)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17739) implies:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17740)  op(e1, e3) = e1
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17705), (17706), (17740), (function-axioms) are
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #91.
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.53/28.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17741)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17741) gives:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17742)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17742) implies:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17743)  op(e2, e1) = e1
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (17677), (17743), (function-axioms) are
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17744)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17744) implies:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17745)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17745) gives:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17746)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17684), (17746) are inconsistent by
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1239.
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17747)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17747) implies:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17748)   ~ (all_57_15 = e0)
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17749)  op(e0, e0) = all_57_31
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17750)  op(e0, all_57_31) = all_57_15
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17751)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (17717), (17725), (17726), (17748),
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17749), (17750), (17751), (function-axioms) are
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1280.
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17752)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (17568), (17637), (17679), (17752) are
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1233.
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17753)  all_54_2 = e0
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (17753) imply:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17754)  all_52_8 = e0
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16586), (17754) imply:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17755)  $false
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17755) is inconsistent.
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17756)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17756) implies:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17757)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (39), (208), (16594),
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17658), (17663), (17757), (function-axioms) are
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1370.
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17758)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (16592), (17658), (17758),
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1507.
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17759)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17759) gives:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17760)  all_56_8 = e0 & op(e1, e1) = e0
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17760) implies:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17761)  op(e1, e1) = e0
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17570), (17761), (function-axioms) are
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17762)  all_56_14 = e0 & op(e0, e1) = e0
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17762) implies:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17763)  op(e0, e1) = e0
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17611), (17612), (17763), (function-axioms) are
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #30.
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17764)  all_56_10 = e2 & op(e2, e0) = e2
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17764) implies:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17765)  op(e2, e0) = e2
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (17620), (17765), (function-axioms) are
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1562.
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17766)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (16594), (17570), (17766),
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #885.
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17767)  all_56_13 = e2 & op(e0, e2) = e2
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17767) implies:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17768)  op(e0, e2) = e2
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (17619), (17768), (function-axioms) are
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1613.
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17769)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (217),
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (220), (16594), (17570), (17769),
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | |            #975.
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (17770)  all_54_5 = e1 | all_54_5 = e0
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (283), (16597), (17572), (17770) are inconsistent
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1353.
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | |   (17771)  all_28_2 = e1
% 183.67/28.72  | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | COMBINE_EQS: (329), (17771) imply:
% 183.67/28.72  | | | | | | | | | | |   (17772)  all_10_2 = e1
% 183.67/28.72  | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | SIMP: (17772) implies:
% 183.67/28.72  | | | | | | | | | | |   (17773)  all_10_2 = e1
% 183.67/28.72  | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | REDUCE: (362), (17773) imply:
% 183.67/28.72  | | | | | | | | | | |   (17774)   ~ (all_52_1 = e1)
% 183.67/28.72  | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | REDUCE: (365), (17773) imply:
% 183.67/28.72  | | | | | | | | | | |   (17775)   ~ (all_52_4 = e1)
% 183.67/28.72  | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | REDUCE: (367), (17773) imply:
% 183.67/28.72  | | | | | | | | | | |   (17776)   ~ (all_52_6 = e1)
% 183.67/28.72  | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | REDUCE: (369), (17773) imply:
% 183.67/28.72  | | | | | | | | | | |   (17777)   ~ (all_52_7 = e1)
% 183.67/28.72  | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | REDUCE: (373), (17773) imply:
% 183.67/28.72  | | | | | | | | | | |   (17778)   ~ (all_52_13 = e1)
% 183.67/28.72  | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | REDUCE: (16595), (17773) imply:
% 183.67/28.72  | | | | | | | | | | |   (17779)   ~ (e3 = e1)
% 183.67/28.72  | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | REDUCE: (45), (17773) imply:
% 183.67/28.72  | | | | | | | | | | |   (17780)  op(e2, e2) = e1
% 183.67/28.72  | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | BETA: splitting (79) gives:
% 183.67/28.72  | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | Case 1:
% 183.67/28.72  | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | |   (17781)   ~ (all_32_2 = e3)
% 183.67/28.72  | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | REDUCE: (344), (17781) imply:
% 183.67/28.72  | | | | | | | | | | | |   (17782)   ~ (all_6_2 = e3)
% 183.67/28.72  | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | BETA: splitting (189) gives:
% 183.67/28.72  | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | Case 1:
% 183.67/28.72  | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | |   (17783)  all_54_15 = e3
% 183.67/28.72  | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | REF_CLOSE: (261), (17782), (17783) are inconsistent by
% 183.67/28.72  | | | | | | | | | | | | |            sub-proof #1608.
% 183.67/28.72  | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | |   (17784)   ~ (all_54_15 = e3)
% 183.67/28.72  | | | | | | | | | | | | |   (17785)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 183.67/28.72  | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | BETA: splitting (250) gives:
% 183.67/28.72  | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | Case 1:
% 183.67/28.72  | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | |   (17786)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.67/28.72  | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.67/28.72  | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | BETA: splitting (17786) gives:
% 183.67/28.72  | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | Case 1:
% 183.67/28.72  | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | |   (17787)  all_57_28 = e3 & op(e3, e3) = e3
% 183.67/28.72  | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | ALPHA: (17787) implies:
% 183.67/28.72  | | | | | | | | | | | | | | |   (17788)  op(e3, e3) = e3
% 183.67/28.72  | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | REF_CLOSE: (7), (16591), (17788), (function-axioms) are
% 183.67/28.72  | | | | | | | | | | | | | | |            inconsistent by sub-proof #55.
% 183.67/28.72  | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | |   (17789)  all_57_29 = e3 & op(e2, e2) = e3
% 183.67/28.72  | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | ALPHA: (17789) implies:
% 183.67/28.72  | | | | | | | | | | | | | | |   (17790)  op(e2, e2) = e3
% 183.67/28.72  | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | REF_CLOSE: (8), (17780), (17790), (function-axioms) are
% 183.67/28.72  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 183.67/28.72  | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | |   (17791)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.67/28.72  | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 183.67/28.72  | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & $i(all_57_28))
% 183.67/28.72  | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | BETA: splitting (17791) gives:
% 183.67/28.72  | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | Case 1:
% 183.67/28.72  | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | |   (17792)  all_57_30 = e3 & op(e1, e1) = e3
% 183.67/28.72  | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | ALPHA: (17792) implies:
% 183.67/28.72  | | | | | | | | | | | | | | |   (17793)  op(e1, e1) = e3
% 183.67/28.72  | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | REF_CLOSE: (51), (16599), (17793), (function-axioms) are
% 183.67/28.72  | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 183.67/28.72  | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | |   (17794)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.67/28.72  | | | | | | | | | | | | | | |              (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 183.67/28.72  | | | | | | | | | | | | | | |              $i(all_57_28))
% 183.67/28.72  | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | BETA: splitting (17794) gives:
% 183.67/28.72  | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | Case 1:
% 183.67/28.72  | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | |   (17795)  all_57_31 = e3 & op(e0, e0) = e3
% 183.67/28.72  | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | ALPHA: (17795) implies:
% 183.67/28.72  | | | | | | | | | | | | | | | |   (17796)  op(e0, e0) = e3
% 183.67/28.72  | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | BETA: splitting (17785) gives:
% 183.67/28.72  | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.72  | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | |   (17797)  all_54_15 = e2
% 183.67/28.72  | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (16594), (17797) are inconsistent by
% 183.67/28.72  | | | | | | | | | | | | | | | | |            sub-proof #1607.
% 183.67/28.72  | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | |   (17798)  all_54_15 = e1 | all_54_15 = e0
% 183.67/28.72  | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (261), (16592), (17782), (17796), (17798),
% 183.67/28.72  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.72  | | | | | | | | | | | | | | | | |            #1291.
% 183.67/28.72  | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | End of split
% 183.67/28.72  | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | |   (17799)   ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 183.67/28.72  | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.67/28.72  | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | ALPHA: (17799) implies:
% 183.67/28.72  | | | | | | | | | | | | | | | |   (17800)   ~ (all_57_28 = e3)
% 183.67/28.72  | | | | | | | | | | | | | | | |   (17801)  op(e3, e3) = all_57_28
% 183.67/28.72  | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | BETA: splitting (17785) gives:
% 183.67/28.72  | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.72  | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | |   (17802)  all_54_15 = e2
% 183.67/28.72  | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (16594), (17802) are inconsistent by
% 183.67/28.72  | | | | | | | | | | | | | | | | |            sub-proof #1607.
% 183.67/28.72  | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.72  | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | |   (17803)  all_54_15 = e1 | all_54_15 = e0
% 183.67/28.72  | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | BETA: splitting (17803) gives:
% 183.67/28.72  | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.72  | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | |   (17804)  all_54_15 = e1
% 183.67/28.72  | | | | | | | | | | | | | | | | | | 
% 183.67/28.72  | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (16592), (17804) are inconsistent by
% 183.67/28.72  | | | | | | | | | | | | | | | | | |            sub-proof #1606.
% 183.67/28.72  | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | |   (17805)  all_54_15 = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (17805) imply:
% 183.67/28.73  | | | | | | | | | | | | | | | | | |   (17806)  all_6_2 = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | SIMP: (17806) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | |   (17807)  all_6_2 = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | REDUCE: (375), (17807) imply:
% 183.67/28.73  | | | | | | | | | | | | | | | | | |   (17808)   ~ (all_52_7 = e0)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | REDUCE: (384), (17807) imply:
% 183.67/28.73  | | | | | | | | | | | | | | | | | |   (17809)   ~ (all_52_13 = e0)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | REDUCE: (17782), (17807) imply:
% 183.67/28.73  | | | | | | | | | | | | | | | | | |   (17810)   ~ (e3 = e0)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | REDUCE: (16592), (17807) imply:
% 183.67/28.73  | | | | | | | | | | | | | | | | | |   (17811)   ~ (e1 = e0)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | REDUCE: (39), (17807) imply:
% 183.67/28.73  | | | | | | | | | | | | | | | | | |   (17812)  op(e0, e0) = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | |   (17813)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | BETA: splitting (17813) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | |   (17814)  all_56_2 = e0 & op(e2, e3) = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (16582), (17814), (function-axioms) are
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #930.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | |   (17815)  all_56_3 = e0 & op(e2, e2) = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | ALPHA: (17815) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | |   (17816)  op(e2, e2) = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17780), (17816), (function-axioms) are
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1310.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | |   (17817)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 183.67/28.73  | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | BETA: splitting (17817) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | |   (17818)  all_56_5 = e0 & op(e2, e1) = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | |   (17819)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (16585), (17780), (17819),
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | |            #35.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | |   (17820)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17820) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | |   (17821)  all_56_7 = e0 & op(e1, e2) = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | |   (17822)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17780), (17800), (17801), (17822),
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | |            #1290.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | |   (17823)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & $i(all_57_19))
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17823) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | |   (17824)  all_57_30 = e3 & op(e1, e1) = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17824) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | |   (17825)  op(e1, e1) = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (16599), (17825), (function-axioms) are
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | |   (17826)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19))
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17826) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (17827)  all_57_31 = e3 & op(e0, e0) = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17827) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (17828)  op(e0, e0) = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17812), (17828), (function-axioms) are
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (17829)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17829) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (17830)   ~ (all_57_19 = e2)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (17831)  op(e2, e3) = all_57_19
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17832)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17780), (17800), (17801), (17832),
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1290.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17833)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_22 & $i(all_57_22))
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17833) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17834)  all_57_30 = e3 & op(e1, e1) = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17834) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17835)  op(e1, e1) = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (16599), (17835), (function-axioms) are
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17836)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22))
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17836) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17837)  all_57_31 = e3 & op(e0, e0) = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17837) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17838)  op(e0, e0) = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17812), (17838), (function-axioms) are
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17839)   ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17839) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17840)   ~ (all_57_22 = e1)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17841)  op(e1, e3) = all_57_22
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17821) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17842)  op(e1, e2) = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17818) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17843)  op(e2, e1) = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (17842) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17844)  all_52_6 = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22, e3, e1, simplifying with (163), (17841)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17845)  all_57_22 = all_52_2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (17843) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17846)  all_52_9 = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19, e3, e2, simplifying with (167), (17831)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17847)  all_57_19 = all_52_1
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17830), (17847) imply:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17848)   ~ (all_52_1 = e2)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17840), (17845) imply:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17849)   ~ (all_52_2 = e1)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17850)  all_54_8 = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (17850) imply:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17851)  all_52_2 = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17851) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17852)  all_52_2 = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (17852) imply:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17853)   ~ (all_52_1 = e3)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17854)  all_54_4 = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (17853), (17854) are inconsistent by
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1078.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17855)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (16582), (17774), (17848), (17855) are
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #148.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17856)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (16583), (17564), (17849), (17856) are
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #117.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | |   (17857)  all_56_13 = e0 & op(e0, e2) = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17857) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | |   (17858)  op(e0, e2) = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (17808), (17858), (function-axioms) are
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1463.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | |   (17859)  all_56_10 = e0 & op(e2, e0) = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | ALPHA: (17859) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | |   (17860)  op(e2, e0) = e0
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (17809), (17860), (function-axioms) are
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1504.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | |   (17861)  all_32_2 = e3
% 183.67/28.73  | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | COMBINE_EQS: (344), (17861) imply:
% 183.67/28.73  | | | | | | | | | | | |   (17862)  all_6_2 = e3
% 183.67/28.73  | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | SIMP: (17862) implies:
% 183.67/28.73  | | | | | | | | | | | |   (17863)  all_6_2 = e3
% 183.67/28.73  | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | COMBINE_EQS: (311), (17863) imply:
% 183.67/28.73  | | | | | | | | | | | |   (17864)  all_38_2 = e3
% 183.67/28.73  | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | REDUCE: (375), (17863) imply:
% 183.67/28.73  | | | | | | | | | | | |   (17865)   ~ (all_52_7 = e3)
% 183.67/28.73  | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | REDUCE: (383), (17863) imply:
% 183.67/28.73  | | | | | | | | | | | |   (17866)   ~ (all_52_12 = e3)
% 183.67/28.73  | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | REDUCE: (384), (17863) imply:
% 183.67/28.73  | | | | | | | | | | | |   (17867)   ~ (all_52_13 = e3)
% 183.67/28.73  | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | REDUCE: (385), (17863) imply:
% 183.67/28.73  | | | | | | | | | | | |   (17868)   ~ (all_52_14 = e3)
% 183.67/28.73  | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | BETA: splitting (212) gives:
% 183.67/28.73  | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | |   (17869)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 183.67/28.73  | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 183.67/28.73  | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | REF_CLOSE: (164), (168), (17866), (17867), (17869),
% 183.67/28.73  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.73  | | | | | | | | | | | | |            #208.
% 183.67/28.73  | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | |   (17870)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 183.67/28.73  | | | | | | | | | | | | |              e3 & op(e0, e0) = e3)
% 183.67/28.73  | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | BETA: splitting (17870) gives:
% 183.67/28.73  | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | |   (17871)  all_56_11 = e3 & op(e1, e0) = e3
% 183.67/28.73  | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | REF_CLOSE: (160), (17868), (17871), (function-axioms) are
% 183.67/28.73  | | | | | | | | | | | | | |            inconsistent by sub-proof #804.
% 183.67/28.73  | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | |   (17872)  all_56_15 = e3 & op(e0, e0) = e3
% 183.67/28.73  | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | ALPHA: (17872) implies:
% 183.67/28.73  | | | | | | | | | | | | | |   (17873)  all_56_15 = e3
% 183.67/28.73  | | | | | | | | | | | | | |   (17874)  op(e0, e0) = e3
% 183.67/28.73  | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 183.67/28.73  | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | |   (17875)   ~ (all_38_2 = e3)
% 183.67/28.73  | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | REDUCE: (17864), (17875) imply:
% 183.67/28.73  | | | | | | | | | | | | | | |   (17876)  $false
% 183.67/28.73  | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | CLOSE: (17876) is inconsistent.
% 183.67/28.73  | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | |   (17877)  ( ~ (all_38_0 = e1) & op(e3, e3) = all_38_0 &
% 183.67/28.73  | | | | | | | | | | | | | | |              $i(all_38_0)) | ( ~ (all_38_1 = e2) & op(e3, e0)
% 183.67/28.73  | | | | | | | | | | | | | | |              = all_38_1 & $i(all_38_1))
% 183.67/28.73  | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | |   (17878)  all_54_2 = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (17878) imply:
% 183.67/28.73  | | | | | | | | | | | | | | | |   (17879)  all_52_8 = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | SIMP: (17879) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | |   (17880)  all_52_8 = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | REDUCE: (134), (17880) imply:
% 183.67/28.73  | | | | | | | | | | | | | | | |   (17881)   ~ (all_52_4 = e3)
% 183.67/28.73  | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | REDUCE: (123), (17880) imply:
% 183.67/28.73  | | | | | | | | | | | | | | | |   (17882)   ~ (all_52_9 = e3)
% 183.67/28.73  | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | SIMP: (17882) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | |   (17883)   ~ (all_52_9 = e3)
% 183.67/28.73  | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | REDUCE: (121), (17880) imply:
% 183.67/28.73  | | | | | | | | | | | | | | | |   (17884)   ~ (all_52_11 = e3)
% 183.67/28.73  | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | SIMP: (17884) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | |   (17885)   ~ (all_52_11 = e3)
% 183.67/28.73  | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | REDUCE: (120), (17880) imply:
% 183.67/28.73  | | | | | | | | | | | | | | | |   (17886)   ~ (all_52_12 = e3)
% 183.67/28.73  | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | |   (17887)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 183.67/28.73  | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | BETA: splitting (17887) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | |   (17888)  all_56_2 = e3 & op(e2, e3) = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | ALPHA: (17888) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | |   (17889)  all_56_2 = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | |   (17890)  op(e2, e3) = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | |   (17891)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (16591), (17881), (17891),
% 183.67/28.73  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.73  | | | | | | | | | | | | | | | | | | |            #45.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | |   (17892)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | BETA: splitting (17892) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | |   (17893)  all_56_4 = e3 & op(e3, e1) = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | ALPHA: (17893) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | |   (17894)  all_56_4 = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | |   (17895)  op(e3, e1) = e3
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | |   (17896)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17896) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | |   (17897)  all_56_0 = e1 & op(e3, e3) = e1
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17897) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | |   (17898)  op(e3, e3) = e1
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16591), (17898), (function-axioms) are
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #49.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | |   (17899)  all_56_1 = e1 & op(e3, e2) = e1
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17899) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | |   (17900)  op(e3, e2) = e1
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | |   (17901)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17780), (17900), (17901), (function-axioms)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #184.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | |   (17902)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17902) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | |   (17903)  all_56_7 = e2 & op(e1, e2) = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17903) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | |   (17904)  op(e1, e2) = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (17565), (17904), (function-axioms) are
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | |   (17905)  all_56_13 = e2 & op(e0, e2) = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17905) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | |   (17906)  all_56_13 = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (17907)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17907) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17908)  all_56_2 = e2 & op(e2, e3) = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17908) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17909)  all_56_2 = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17889), (17909) imply:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17910)  e3 = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17910) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17911)  e3 = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17894), (17911) imply:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17912)  all_56_4 = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (168), (170), (236), (16591), (17866),
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            (17881), (17912), (function-axioms) are
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #44.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17913)  all_56_3 = e2 & op(e2, e2) = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17913) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17914)  op(e2, e2) = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17780), (17914), (function-axioms) are
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (17915)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17915) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17916)  all_56_5 = e2 & op(e2, e1) = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17916) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17917)  all_56_5 = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17918)  op(e2, e1) = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (217), (218), (220),
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            (17570), (17894), (17917), (17918),
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            #723.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17919)  all_56_10 = e2 & op(e2, e0) = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17919) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17920)  all_56_10 = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17921)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (221), (224), (16591),
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17780), (17920), (17921), (function-axioms) are
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #29.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17922)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17922) gives:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17923)  all_56_6 = e2 & op(e1, e3) = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17923) implies:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17924)  all_56_6 = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (216),
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17570), (17924), (function-axioms) are
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #28.
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17925)  all_56_12 = e2 & op(e0, e3) = e2
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17925) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17926)  all_56_12 = e2
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (207),
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (209), (16592), (17906), (17926),
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1119.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | |   (17927)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17927) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | |   (17928)  all_56_4 = e1 & op(e3, e1) = e1
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17894), (17928) are inconsistent by
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #731.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | |   (17929)  all_56_9 = e1 & op(e3, e0) = e1
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17929) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | |   (17930)  all_56_9 = e1
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | |   (17931)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17931) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | |   (17932)  all_56_9 = e2 & op(e3, e0) = e2
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17930), (17932) are inconsistent by
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1129.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | |   (17933)  all_56_10 = e2 & op(e2, e0) = e2
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17933) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | |   (17934)  all_56_10 = e2
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (17935)  all_54_1 = e3
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (17935) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (17936)  all_52_4 = e3
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17881), (17936) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (17937)  $false
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17937) is inconsistent.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (17938)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17939)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (221), (224), (16591),
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |            (17780), (17934), (17939), (function-axioms) are
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #29.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (17940)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17940) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17941)  all_56_6 = e2 & op(e1, e3) = e2
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17941) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17942)  all_56_6 = e2
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (216),
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17570), (17942), (function-axioms) are
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #28.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17943)  all_56_12 = e2 & op(e0, e3) = e2
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17943) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17944)  all_56_12 = e2
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17945)  op(e0, e3) = e2
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17946)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17946) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17947)  all_56_12 = e1 & op(e0, e3) = e1
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17944), (17947) are inconsistent by
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1550.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17948)  all_56_13 = e1 & op(e0, e2) = e1
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17948) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17949)  op(e0, e2) = e1
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (17777), (17949), (function-axioms) are
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #841.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17950)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17950) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17951)  all_56_14 = e1 & op(e0, e1) = e1
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17951) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17952)  op(e0, e1) = e1
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17938) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17953)  all_54_1 = e2
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (17953) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17954)  all_52_4 = e2
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17954) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17955)  all_52_4 = e2
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (17955) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17956)   ~ (all_52_6 = e2)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (17955) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17957)   ~ (all_52_7 = e2)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17957) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17958)   ~ (all_52_7 = e2)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (17955) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17959)   ~ (all_52_12 = e2)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17959) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17960)   ~ (all_52_12 = e2)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (17955) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17961)  op(e3, e2) = e2
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17962)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17962) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17963)  all_56_4 = e0 & op(e3, e1) = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17963) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17964)  op(e3, e1) = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (17895), (17964), (function-axioms)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1577.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17965)  all_56_5 = e0 & op(e2, e1) = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17965) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17966)  op(e2, e1) = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17967)  all_54_3 = e3
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (17866), (17967) are inconsistent by
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #809.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17968)   ~ (all_54_3 = e3)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17969)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17970)  all_54_13 = e3
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (17865), (17970) are inconsistent by
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1302.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17971)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17969) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17972)  all_54_3 = e2
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (17960), (17972) are inconsistent by
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #748.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17973)   ~ (all_54_3 = e2)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17974)  all_54_3 = e1 | all_54_3 = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17974) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17975)  all_54_3 = e1
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (17975) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17976)  all_52_12 = e1
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17976) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17977)  all_52_12 = e1
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (17977) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17978)   ~ (all_52_14 = e1)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17978) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17979)   ~ (all_52_14 = e1)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17980)  all_54_11 = e3
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (17868), (17980) are inconsistent by
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1336.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17981)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17981) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17982)  all_54_11 = e2
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (17569), (17982) are inconsistent by
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1115.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17983)  all_54_11 = e1 | all_54_11 = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17983) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17984)  all_54_11 = e1
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (17979), (17984) are inconsistent by
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1114.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17985)  all_54_11 = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (265), (17985) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17986)  all_52_14 = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17986) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17987)  all_52_14 = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (17987) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17988)   ~ (all_52_6 = e0)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17989)  all_54_9 = e3
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (17989) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17990)  all_52_6 = e3
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17990) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17991)  all_52_6 = e3
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (17991) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17992)   ~ (all_52_2 = e3)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (17991) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17993)   ~ (all_52_7 = e3)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17971) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17994)  all_54_13 = e2
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (17958), (17994) are inconsistent by
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1185.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17995)   ~ (all_54_13 = e2)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17996)  all_54_13 = e1 | all_54_13 = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17996) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17997)  all_54_13 = e1
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (17777), (17997) are inconsistent by
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1313.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17998)  all_54_13 = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (17998) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (17999)  all_52_7 = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17999) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18000)  all_52_7 = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (18000) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18001)   ~ (all_52_11 = e0)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18001) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18002)   ~ (all_52_11 = e0)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17865), (18000) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18003)   ~ (e3 = e0)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17958), (18000) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18004)   ~ (e2 = e0)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17777), (18000) imply:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18005)   ~ (e1 = e0)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18006)  all_54_14 = e3
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (17885), (18006) are inconsistent by
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1259.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18007)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18007) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18008)  all_54_14 = e2
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (17568), (18008) are inconsistent by
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1234.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18009)  all_54_14 = e1 | all_54_14 = e0
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18010)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18010) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18011)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18011) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18012)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18012) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18013)  op(e3, e2) = e3
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17961), (18013), (function-axioms) are
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #166.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18014)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18014) implies:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18015)  op(e1, e3) = e3
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (17992), (18015), (function-axioms) are
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #855.
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18016)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18016) gives:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18017)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 183.67/28.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18017) implies:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18018)  op(e0, e3) = e3
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17945), (18018), (function-axioms) are
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1039.
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18019)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18019) implies:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18020)  op(e2, e3) = e2
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e3,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (17890), (18020) gives:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18021)  e3 = e2
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17889), (18021) imply:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18022)  all_56_2 = e2
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (221), (224), (17780),
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17934), (18020), (18022), (function-axioms) are
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #734.
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18023)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18023) gives:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18024)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (158), (17958), (17966), (18024),
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #271.
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18025)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18025) gives:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18026)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18026) implies:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18027)  op(e3, e1) = e1
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (262), (18002), (18009), (18027),
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1258.
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18028)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18028) gives:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18029)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18029) implies:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18030)  op(e2, e1) = e1
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (262), (18002), (18009), (18030),
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #807.
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18031)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18031) implies:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18032)  op(e0, e1) = all_57_27
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18033)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (201), (285), (16587), (17866), (17952),
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17960), (17979), (18032), (18033),
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #202.
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18034)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (17565), (17776), (17988), (18034) are
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1319.
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18035)  all_54_3 = e0
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (16587), (18035) are inconsistent by
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #828.
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18036)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (17570), (17952), (18036),
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #916.
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18037)  all_54_1 = e1 | all_54_1 = e0
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (16585), (17775), (18037) are inconsistent
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1058.
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18038)  all_56_15 = e1 & op(e0, e0) = e1
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18038) implies:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18039)  op(e0, e0) = e1
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17874), (18039), (function-axioms) are
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | |   (18040)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18040) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | |   (18041)  all_56_11 = e2 & op(e1, e0) = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18041) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | |   (18042)  all_56_11 = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (216),
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | |            (17570), (18042), (function-axioms) are
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #886.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | |   (18043)  all_56_15 = e2 & op(e0, e0) = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18043) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | |   (18044)  op(e0, e0) = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17874), (18044), (function-axioms) are
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | |   (18045)  all_56_9 = e3 & op(e3, e0) = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | ALPHA: (18045) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | |   (18046)  op(e3, e0) = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (17866), (18046), (function-axioms) are
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1615.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.76  | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | |   (18047)  all_56_3 = e3 & op(e2, e2) = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | ALPHA: (18047) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | |   (18048)  op(e2, e2) = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17780), (18048), (function-axioms) are
% 183.67/28.76  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | End of split
% 183.67/28.76  | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | |   (18049)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 183.67/28.76  | | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 183.67/28.76  | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (17867), (17883), (18049),
% 183.67/28.76  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.76  | | | | | | | | | | | | | | | | |            #138.
% 183.67/28.76  | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | End of split
% 183.67/28.76  | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | |   (18050)   ~ (all_54_2 = e3)
% 183.67/28.76  | | | | | | | | | | | | | | | |   (18051)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 183.67/28.76  | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | REDUCE: (286), (18050) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | |   (18052)   ~ (all_52_8 = e3)
% 183.67/28.76  | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | BETA: splitting (18051) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | |   (18053)  all_54_2 = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | REF_CLOSE: (286), (17566), (18053) are inconsistent by
% 183.67/28.76  | | | | | | | | | | | | | | | | |            sub-proof #1480.
% 183.67/28.76  | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | |   (18054)  all_54_2 = e1 | all_54_2 = e0
% 183.67/28.76  | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | |   (18055)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | BETA: splitting (18055) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | |   (18056)  all_56_0 = e3 & op(e3, e3) = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | ALPHA: (18056) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | |   (18057)  op(e3, e3) = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16591), (18057), (function-axioms) are
% 183.67/28.76  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #55.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | |   (18058)  all_56_1 = e3 & op(e3, e2) = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | ALPHA: (18058) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | |   (18059)  op(e3, e2) = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | BETA: splitting (18054) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | |   (18060)  all_54_2 = e1
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (18060) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | |   (18061)  all_52_8 = e1
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (18061) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | |   (18062)   ~ (all_52_9 = e1)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | SIMP: (18062) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | |   (18063)   ~ (all_52_9 = e1)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (18061) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | |   (18064)   ~ (all_52_11 = e1)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | SIMP: (18064) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | |   (18065)   ~ (all_52_11 = e1)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (18061) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | |   (18066)   ~ (all_52_12 = e1)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | SIMP: (18066) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | |   (18067)   ~ (all_52_12 = e1)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (18061) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | |   (18068)  op(e3, e1) = e1
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | |   (18069)  all_54_3 = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (17866), (18069) are inconsistent by
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | |            sub-proof #809.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | |   (18070)   ~ (all_54_3 = e3)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | |   (18071)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18071) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | |   (18072)  all_54_3 = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (18072) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | |   (18073)  all_52_12 = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | SIMP: (18073) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | |   (18074)  all_52_12 = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (18074) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | |   (18075)   ~ (all_52_4 = e2)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (18074) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | |   (18076)   ~ (all_52_13 = e2)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | SIMP: (18076) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | |   (18077)   ~ (all_52_13 = e2)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (18074) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | |   (18078)   ~ (all_52_14 = e2)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17866), (18074) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | |   (18079)   ~ (e3 = e2)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (18074) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | |   (18080)  op(e3, e0) = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17877) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | |   (18081)   ~ (all_38_0 = e1) & op(e3, e3) = all_38_0 &
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_38_0)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18081) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | |   (18082)   ~ (all_38_0 = e1)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | |   (18083)  op(e3, e3) = all_38_0
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | |   (18084)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18084) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (18085)  all_56_4 = e3 & op(e3, e1) = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18085) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (18086)  op(e3, e1) = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (169), (203), (287), (16585), (17775),
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | |            (18075), (18086), (function-axioms) are
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1047.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (18087)  all_56_5 = e3 & op(e2, e1) = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18087) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (18088)  all_56_5 = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (18089)  op(e2, e1) = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18090)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18090) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18091)  all_56_12 = e1 & op(e0, e3) = e1
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18091) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18092)  all_56_12 = e1
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18093)  op(e0, e3) = e1
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18094)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18094) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18095)  all_56_1 = e2 & op(e3, e2) = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18095) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18096)  op(e3, e2) = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18097)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18097) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18098)  all_56_12 = e2 & op(e0, e3) = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18098) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18099)  all_56_12 = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18092), (18099) are inconsistent by
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1383.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18100)  all_56_13 = e2 & op(e0, e2) = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18100) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18101)  op(e0, e2) = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (170), (18096), (18101),
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1342.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18102)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18102) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18103)  all_56_14 = e2 & op(e0, e1) = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18103) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18104)  all_56_14 = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (217), (17570), (18068), (18088),
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18104), (function-axioms) are inconsistent by
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #980.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18105)  all_56_15 = e2 & op(e0, e0) = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18105) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18106)  op(e0, e0) = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16594), (18106), (function-axioms) are
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18107)  all_56_3 = e2 & op(e2, e2) = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18107) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18108)  op(e2, e2) = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17780), (18108), (function-axioms) are
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18109)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18109) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18110)  all_56_7 = e2 & op(e1, e2) = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18110) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18111)  op(e1, e2) = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (17565), (18111), (function-axioms) are
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18112)  all_56_13 = e2 & op(e0, e2) = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18112) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18113)  all_56_13 = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18114)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18114) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18115)  all_56_0 = e1 & op(e3, e3) = e1
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18115) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18116)  op(e3, e3) = e1
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18082), (18083), (18116), (function-axioms) are
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1056.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18117)  all_56_1 = e1 & op(e3, e2) = e1
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18117) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18118)  op(e3, e2) = e1
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18059), (18118), (function-axioms) are
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1579.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18119)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18119) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18120)  all_56_4 = e1 & op(e3, e1) = e1
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18120) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18121)  all_56_4 = e1
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18122)  all_54_1 = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (287), (18122) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18123)  all_52_4 = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18123) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18124)  all_52_4 = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (18124) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18125)   ~ (all_52_6 = e3)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18125) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18126)   ~ (all_52_6 = e3)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18127)  all_54_9 = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (18127) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18128)  all_52_6 = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18126), (18128) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18129)  $false
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18129) is inconsistent.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18130)   ~ (all_54_9 = e3)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18131)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18132)  all_54_7 = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (17867), (18132) are inconsistent by
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #797.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18133)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18133) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18134)  all_54_7 = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (18077), (18134) are inconsistent by
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #795.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18135)   ~ (all_54_7 = e2)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18136)  all_54_7 = e1 | all_54_7 = e0
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18137)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18137) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18138)  all_56_2 = e2 & op(e2, e3) = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18138) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18139)  all_56_2 = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18140)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (18068), (18088), (18140),
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #985.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18141)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18141) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18142)  all_56_8 = e0 & op(e1, e1) = e0
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18142) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18143)  op(e1, e1) = e0
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17570), (18143), (function-axioms) are
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18144)  all_56_14 = e0 & op(e0, e1) = e0
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18144) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18145)  all_56_14 = e0
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18146)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18146) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18147)  all_56_0 = e3 & op(e3, e3) = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18147) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18148)  op(e3, e3) = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16591), (18148), (function-axioms) are
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #55.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18149)  all_56_2 = e3 & op(e2, e3) = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18149) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18150)  all_56_2 = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18139), (18150) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18151)  e3 = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18151) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18152)  e3 = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17873), (18152) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18153)  all_56_15 = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (209), (18092), (18113), (18145),
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18153) are inconsistent by sub-proof #528.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18154)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18154) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18155)  all_56_6 = e3 & op(e1, e3) = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18155) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18156)  op(e1, e3) = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18131) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18157)  all_54_9 = e2
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (17565), (18157) are inconsistent by
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1323.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18158)   ~ (all_54_9 = e2)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18159)  all_54_9 = e1 | all_54_9 = e0
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18136) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18160)  all_54_7 = e1
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (17778), (18160) are inconsistent by
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #947.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18161)  all_54_7 = e0
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (18161) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18162)  all_52_13 = e0
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18162) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18163)  all_52_13 = e0
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (18163) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18164)   ~ (all_52_9 = e0)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18165)  all_54_6 = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (276), (18165) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18166)  all_52_9 = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18166) implies:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18167)  all_52_9 = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (18167) imply:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18168)   ~ (all_52_1 = e3)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18169)  all_54_4 = e3
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (284), (18168), (18169) are inconsistent by
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1078.
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18170)   ~ (all_54_4 = e3)
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18171)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.67/28.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18172)  all_54_11 = e3
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (17868), (18172) are inconsistent by
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1336.
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18173)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18159) gives:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18174)  all_54_9 = e1
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (17776), (18174) are inconsistent by
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1322.
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18175)  all_54_9 = e0
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (18175) imply:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18176)  all_52_6 = e0
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18176) implies:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18177)  all_52_6 = e0
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18177) imply:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18178)   ~ (all_52_7 = e0)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18178) implies:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18179)   ~ (all_52_7 = e0)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (18177) imply:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18180)   ~ (all_52_14 = e0)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18180) implies:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18181)   ~ (all_52_14 = e0)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18126), (18177) imply:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18182)   ~ (e3 = e0)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17565), (18177) imply:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18183)   ~ (e2 = e0)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18173) gives:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18184)  all_54_11 = e2
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (265), (17569), (18184) are inconsistent by
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1115.
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18185)  all_54_11 = e1 | all_54_11 = e0
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18186)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18186) gives:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18187)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (167), (169), (203), (287), (16585),
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17775), (18075), (18168), (18187),
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #66.
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18188)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (39), (135), (158), (159), (170),
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (16594), (18092), (18093), (18145),
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18188), (function-axioms) are inconsistent by
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1298.
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18189)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18189) gives:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18190)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18190) gives:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18191)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18191) implies:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18192)  op(e2, e1) = e2
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (165), (198), (276), (284), (16582),
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (17774), (18164), (18171), (18192),
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #145.
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18193)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_20) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18193) implies:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18194)  op(e2, e0) = e2
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (18077), (18194), (function-axioms) are
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1562.
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18195)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18195) gives:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18196)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18196) implies:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18197)  op(e1, e3) = e1
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (163), (265), (18181), (18185), (18197),
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #838.
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18198)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18198) gives:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18199)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18199) implies:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18200)  op(e2, e1) = e1
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (17570), (18121), (18145),
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18200), (function-axioms) are inconsistent by
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #369.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18201)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18201) implies:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18202)  op(e0, e1) = all_57_27
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18203)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18203) gives:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18204)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18204) implies:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18205)   ~ (all_57_8 = e3)
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18206)  op(e1, e3) = all_57_22
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18207)  op(e1, all_57_22) = all_57_8
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18156), (18205), (18206), (18207),
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1026.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18208)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18208) implies:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18209)  op(e0, e2) = all_57_26
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18210)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18210) gives:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18211)  all_57_31 = e0
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (18065), (18202), (18203), (18211),
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #224.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18212)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18212) gives:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18213)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18213) implies:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18214)  op(e3, e0) = e0
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18080), (18214), (function-axioms) are
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #113.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18215)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) = e0)
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18215) gives:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18216)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18216) implies:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18217)  all_57_26 = e0
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18209), (18217) imply:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18218)  op(e0, e2) = e0
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (18179), (18218), (function-axioms) are
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1463.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18219)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18219) implies:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18220)  op(e1, e0) = e0
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (160), (273), (17776), (18159), (18220),
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1046.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18221)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (123), (169), (276), (17567), (18068), (18164),
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18221), (function-axioms) are inconsistent by
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #59.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18222)  all_56_12 = e3 & op(e0, e3) = e3
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18222) implies:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18223)  all_56_12 = e3
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18224)  op(e0, e3) = e3
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (206),
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (208), (16592), (16594), (17874), (18223),
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18224), (function-axioms) are inconsistent by
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #241.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18225)  all_56_3 = e2 & op(e2, e2) = e2
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18225) implies:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18226)  op(e2, e2) = e2
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17780), (18226), (function-axioms) are
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1487.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18227)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (164), (18077), (18089), (18227),
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #155.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18228)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (287), (16585), (17775), (18075), (18228) are
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1057.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18229)  all_56_9 = e1 & op(e3, e0) = e1
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (18067), (18229), (function-axioms) are
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #121.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18230)  all_56_13 = e1 & op(e0, e2) = e1
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18230) implies:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18231)  op(e0, e2) = e1
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (17777), (18231), (function-axioms) are
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #841.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18232)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1)
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (17874), (18065), (18232),
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | |            #41.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | |   (18233)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18233) gives:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (18234)  all_56_8 = e3 & op(e1, e1) = e3
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18234) implies:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (18235)  op(e1, e1) = e3
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (16599), (18235), (function-axioms) are
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (18236)  all_56_14 = e3 & op(e0, e1) = e3
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (206), (207),
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | |            (208), (16592), (16594), (17874), (18236),
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | |            #1153.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | |   (18237)   ~ (all_38_1 = e2) & op(e3, e0) = all_38_1 &
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_38_1)
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18080), (18237), (function-axioms) are
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #42.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | |   (18238)  all_54_3 = e1 | all_54_3 = e0
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (16587), (18067), (18238) are inconsistent
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #827.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | |   (18239)  all_54_2 = e0
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (18239) imply:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | |   (18240)  all_52_8 = e0
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | REDUCE: (16586), (18240) imply:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | |   (18241)  $false
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | CLOSE: (18241) is inconsistent.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | |   (18242)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 183.77/28.78  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 183.77/28.78  | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (17866), (18052), (18242),
% 183.77/28.78  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.78  | | | | | | | | | | | | | | | | | |            #803.
% 183.77/28.78  | | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | | 
% 183.77/28.78  | | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | | 
% 183.77/28.78  | | | | | | | | |   (18243)  all_16_2 = e3
% 183.77/28.78  | | | | | | | | |   (18244)  ( ~ (all_16_0 = e0) & op(e3, e3) = all_16_0 &
% 183.77/28.78  | | | | | | | | |              $i(all_16_0)) | ( ~ (all_16_1 = e2) & op(e3, e1)
% 183.77/28.78  | | | | | | | | |              = all_16_1 & $i(all_16_1))
% 183.77/28.78  | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | COMBINE_EQS: (338), (18243) imply:
% 183.77/28.78  | | | | | | | | |   (18245)  all_14_2 = e3
% 183.77/28.78  | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | SIMP: (18245) implies:
% 183.77/28.78  | | | | | | | | |   (18246)  all_14_2 = e3
% 183.77/28.78  | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | REDUCE: (363), (18246) imply:
% 183.77/28.78  | | | | | | | | |   (18247)   ~ (all_52_2 = e3)
% 183.77/28.78  | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | REDUCE: (376), (18246) imply:
% 183.77/28.78  | | | | | | | | |   (18248)   ~ (all_52_8 = e3)
% 183.77/28.78  | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | REDUCE: (377), (18246) imply:
% 183.77/28.78  | | | | | | | | |   (18249)   ~ (all_52_9 = e3)
% 183.77/28.78  | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | REDUCE: (379), (18246) imply:
% 183.77/28.78  | | | | | | | | |   (18250)   ~ (all_52_11 = e3)
% 183.77/28.78  | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | REDUCE: (51), (18246) imply:
% 183.77/28.78  | | | | | | | | |   (18251)  op(e1, e1) = e3
% 183.77/28.78  | | | | | | | | | 
% 183.77/28.78  | | | | | | | | | REF_CLOSE: (5), (7), (9), (39), (45), (73), (100), (117),
% 183.77/28.78  | | | | | | | | |            (118), (121), (123), (125), (134), (157), (158),
% 183.77/28.78  | | | | | | | | |            (159), (162), (163), (164), (165), (169), (170),
% 183.77/28.78  | | | | | | | | |            (190), (198), (199), (202), (203), (207), (213),
% 183.77/28.78  | | | | | | | | |            (214), (233), (234), (235), (243), (254), (262),
% 183.77/28.78  | | | | | | | | |            (276), (283), (286), (287), (313), (329), (365),
% 183.77/28.78  | | | | | | | | |            (367), (369), (371), (16583), (16585), (16586),
% 183.77/28.78  | | | | | | | | |            (16591), (16592), (16595), (16597), (18244),
% 183.77/28.78  | | | | | | | | |            (18247), (18248), (18249), (18250), (18251),
% 183.77/28.78  | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.78  | | | | | | | | |            #22.
% 183.77/28.78  | | | | | | | | | 
% 183.77/28.78  | | | | | | | | End of split
% 183.77/28.78  | | | | | | | | 
% 183.77/28.78  | | | | | | | Case 2:
% 183.77/28.78  | | | | | | | | 
% 183.77/28.78  | | | | | | | |   (18252)  all_12_2 = e0
% 183.77/28.78  | | | | | | | |   (18253)  ( ~ (all_12_0 = e3) & op(e0, e0) = all_12_0 &
% 183.77/28.78  | | | | | | | |              $i(all_12_0)) | ( ~ (all_12_1 = e1) & op(e0, e2) =
% 183.77/28.78  | | | | | | | |              all_12_1 & $i(all_12_1))
% 183.77/28.78  | | | | | | | | 
% 183.77/28.78  | | | | | | | | COMBINE_EQS: (335), (18252) imply:
% 183.77/28.78  | | | | | | | |   (18254)  all_10_2 = e0
% 183.77/28.78  | | | | | | | | 
% 183.77/28.78  | | | | | | | | SIMP: (18254) implies:
% 183.77/28.79  | | | | | | | |   (18255)  all_10_2 = e0
% 183.77/28.79  | | | | | | | | 
% 183.77/28.79  | | | | | | | | REDUCE: (367), (18255) imply:
% 183.77/28.79  | | | | | | | |   (18256)   ~ (all_52_6 = e0)
% 183.77/28.79  | | | | | | | | 
% 183.77/28.79  | | | | | | | | REDUCE: (371), (18255) imply:
% 183.77/28.79  | | | | | | | |   (18257)   ~ (all_52_9 = e0)
% 183.77/28.79  | | | | | | | | 
% 183.77/28.79  | | | | | | | | REDUCE: (16595), (18255) imply:
% 183.77/28.79  | | | | | | | |   (18258)   ~ (e3 = e0)
% 183.77/28.79  | | | | | | | | 
% 183.77/28.79  | | | | | | | | REDUCE: (45), (18255) imply:
% 183.77/28.79  | | | | | | | |   (18259)  op(e2, e2) = e0
% 183.77/28.79  | | | | | | | | 
% 183.77/28.79  | | | | | | | | BETA: splitting (52) gives:
% 183.77/28.79  | | | | | | | | 
% 183.77/28.79  | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | 
% 183.77/28.79  | | | | | | | | |   (18260)   ~ (all_14_2 = e2)
% 183.77/28.79  | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | BETA: splitting (249) gives:
% 183.77/28.79  | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | |   (18261)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 183.77/28.79  | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 183.77/28.79  | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | REF_CLOSE: (5), (16591), (18259), (18261), (function-axioms)
% 183.77/28.79  | | | | | | | | | |            are inconsistent by sub-proof #21.
% 183.77/28.79  | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | |   (18262)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 183.77/28.79  | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 183.77/28.79  | | | | | | | | | |              op(e3, e2) = all_57_16 & $i(all_57_16))
% 183.77/28.79  | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | BETA: splitting (18262) gives:
% 183.77/28.79  | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | |   (18263)  all_57_30 = e2 & op(e1, e1) = e2
% 183.77/28.79  | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | ALPHA: (18263) implies:
% 183.77/28.79  | | | | | | | | | | |   (18264)  op(e1, e1) = e2
% 183.77/28.79  | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | REF_CLOSE: (51), (18260), (18264), (function-axioms) are
% 183.77/28.79  | | | | | | | | | | |            inconsistent by sub-proof #422.
% 183.77/28.79  | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | |   (18265)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 183.77/28.79  | | | | | | | | | | |              (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 183.77/28.79  | | | | | | | | | | |              $i(all_57_16))
% 183.77/28.79  | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | BETA: splitting (18265) gives:
% 183.77/28.79  | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | |   (18266)  all_57_31 = e2 & op(e0, e0) = e2
% 183.77/28.79  | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | ALPHA: (18266) implies:
% 183.77/28.79  | | | | | | | | | | | |   (18267)  op(e0, e0) = e2
% 183.77/28.79  | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | REF_CLOSE: (39), (16594), (18267), (function-axioms) are
% 183.77/28.79  | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 183.77/28.79  | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | |   (18268)   ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 183.77/28.79  | | | | | | | | | | | |            $i(all_57_16)
% 183.77/28.79  | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | ALPHA: (18268) implies:
% 183.77/28.79  | | | | | | | | | | | |   (18269)   ~ (all_57_16 = e3)
% 183.77/28.79  | | | | | | | | | | | |   (18270)  op(e3, e2) = all_57_16
% 183.77/28.79  | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | BETA: splitting (247) gives:
% 183.77/28.79  | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | |   (18271)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 183.77/28.79  | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 183.77/28.79  | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | REF_CLOSE: (5), (16591), (18259), (18271), (function-axioms)
% 183.77/28.79  | | | | | | | | | | | | |            are inconsistent by sub-proof #21.
% 183.77/28.79  | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | |   (18272)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 183.77/28.79  | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 183.77/28.79  | | | | | | | | | | | | |              op(e0, e2) = all_57_26 & $i(all_57_26))
% 183.77/28.79  | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | BETA: splitting (18272) gives:
% 183.77/28.79  | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | |   (18273)  all_57_30 = e2 & op(e1, e1) = e2
% 183.77/28.79  | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | ALPHA: (18273) implies:
% 183.77/28.79  | | | | | | | | | | | | | |   (18274)  op(e1, e1) = e2
% 183.77/28.79  | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | REF_CLOSE: (51), (18260), (18274), (function-axioms) are
% 183.77/28.79  | | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 183.77/28.79  | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | |   (18275)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 183.77/28.79  | | | | | | | | | | | | | |              (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 183.77/28.79  | | | | | | | | | | | | | |              $i(all_57_26))
% 183.77/28.79  | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | BETA: splitting (18275) gives:
% 183.77/28.79  | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | |   (18276)  all_57_31 = e2 & op(e0, e0) = e2
% 183.77/28.79  | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | ALPHA: (18276) implies:
% 183.77/28.79  | | | | | | | | | | | | | | |   (18277)  op(e0, e0) = e2
% 183.77/28.79  | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | REF_CLOSE: (39), (16594), (18277), (function-axioms) are
% 183.77/28.79  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 183.77/28.79  | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | |   (18278)   ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 183.77/28.79  | | | | | | | | | | | | | | |            $i(all_57_26)
% 183.77/28.79  | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | ALPHA: (18278) implies:
% 183.77/28.79  | | | | | | | | | | | | | | |   (18279)   ~ (all_57_26 = e0)
% 183.77/28.79  | | | | | | | | | | | | | | |   (18280)  op(e0, e2) = all_57_26
% 183.77/28.79  | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | |   (18281)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 183.77/28.79  | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 183.77/28.79  | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16591), (18259), (18281), (function-axioms)
% 183.77/28.79  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #21.
% 183.77/28.79  | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | |   (18282)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 183.77/28.79  | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 183.77/28.79  | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & $i(all_57_23))
% 183.77/28.79  | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | BETA: splitting (18282) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | |   (18283)  all_57_30 = e2 & op(e1, e1) = e2
% 183.77/28.79  | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | ALPHA: (18283) implies:
% 183.77/28.79  | | | | | | | | | | | | | | | | |   (18284)  op(e1, e1) = e2
% 183.77/28.79  | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (18260), (18284), (function-axioms) are
% 183.77/28.79  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 183.77/28.79  | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | |   (18285)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 183.77/28.79  | | | | | | | | | | | | | | | | |              (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 183.77/28.79  | | | | | | | | | | | | | | | | |              $i(all_57_23))
% 183.77/28.79  | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | BETA: splitting (18285) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | |   (18286)  all_57_31 = e2 & op(e0, e0) = e2
% 183.77/28.79  | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | ALPHA: (18286) implies:
% 183.77/28.79  | | | | | | | | | | | | | | | | | |   (18287)  op(e0, e0) = e2
% 183.77/28.79  | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16594), (18287), (function-axioms) are
% 183.77/28.79  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 183.77/28.79  | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | |   (18288)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 183.77/28.79  | | | | | | | | | | | | | | | | | |            $i(all_57_23)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | ALPHA: (18288) implies:
% 183.77/28.79  | | | | | | | | | | | | | | | | | |   (18289)   ~ (all_57_23 = e1)
% 183.77/28.79  | | | | | | | | | | | | | | | | | |   (18290)  op(e1, e2) = all_57_23
% 183.77/28.79  | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | |   (18291)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 183.77/28.79  | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16591), (18259), (18291), (function-axioms)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #21.
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | |   (18292)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 183.77/28.79  | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 183.77/28.79  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_29 & $i(all_57_29))
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | BETA: splitting (18292) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | |   (18293)  all_57_30 = e2 & op(e1, e1) = e2
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | ALPHA: (18293) implies:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | |   (18294)  op(e1, e1) = e2
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (18260), (18294), (function-axioms) are
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | |   (18295)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | |              (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | |              $i(all_57_29))
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | BETA: splitting (18295) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |   (18296)  all_57_31 = e2 & op(e0, e0) = e2
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | ALPHA: (18296) implies:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |   (18297)  op(e0, e0) = e2
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16594), (18297), (function-axioms) are
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |   (18298)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | ALPHA: (18298) implies:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |   (18299)   ~ (all_57_29 = e2)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |   (18300)  op(e2, e2) = all_57_29
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |              all_57_26, e2, e0, simplifying with (158), (18280)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |   (18301)  all_57_26 = all_52_7
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |              all_57_23, e2, e1, simplifying with (162), (18290)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |   (18302)  all_57_23 = all_52_6
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |              all_57_29, e2, e2, simplifying with (18259),
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |              (18300) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |   (18303)  all_57_29 = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |              all_57_16, e2, e3, simplifying with (170), (18270)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |   (18304)  all_57_16 = all_52_4
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | REDUCE: (18269), (18304) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |   (18305)   ~ (all_52_4 = e3)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | REDUCE: (18289), (18302) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |   (18306)   ~ (all_52_6 = e1)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | REDUCE: (18279), (18301) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |   (18307)   ~ (all_52_7 = e0)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | REDUCE: (18299), (18303) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | |   (18308)   ~ (e2 = e0)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | |   (18309)   ~ (all_16_2 = e3)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (338), (18309) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | |   (18310)   ~ (all_14_2 = e3)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | |   (18311)   ~ (all_26_2 = e0)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (318), (18311) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | |   (18312)   ~ (all_14_2 = e0)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | |   (18313)  all_54_10 = e3
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (18310), (18313) are inconsistent by
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1621.
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | |   (18314)   ~ (all_54_10 = e3)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | |   (18315)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18315) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (18316)  all_54_10 = e2
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (18260), (18316) are inconsistent by
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1620.
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (18317)   ~ (all_54_10 = e2)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (18318)  all_54_10 = e1 | all_54_10 = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18319)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e0)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18319) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18320)  all_56_6 = e0 & op(e1, e3) = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (16583), (18320), (function-axioms) are
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1197.
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18321)  all_56_7 = e0 & op(e1, e2) = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (18256), (18321), (function-axioms) are
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1199.
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18322)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18322) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18323)  all_56_8 = e0 & op(e1, e1) = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18323) implies:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18324)  op(e1, e1) = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (18260), (18312), (18315), (18324),
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #120.
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18325)  all_56_11 = e0 & op(e1, e0) = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18325) implies:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18326)  all_56_11 = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18327)  op(e1, e0) = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18328)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e0)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18328) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18329)  all_56_4 = e0 & op(e3, e1) = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18329) implies:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18330)  op(e3, e1) = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18318) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18331)  all_54_10 = e1
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (18331) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18332)  all_14_2 = e1
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18332) implies:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18333)  all_14_2 = e1
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18310), (18333) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18334)   ~ (e3 = e1)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18260), (18333) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18335)   ~ (e2 = e1)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (18333) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18336)  op(e1, e1) = e1
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18337)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (16591), (18305), (18337),
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #45.
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18338)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18338) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18339)  all_56_4 = e3 & op(e3, e1) = e3
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18339) implies:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18340)  op(e3, e1) = e3
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (18330), (18340), (function-axioms)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1577.
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18341)  all_56_9 = e3 & op(e3, e0) = e3
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18341) implies:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18342)  all_56_9 = e3
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (210),
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (211), (213), (215), (216), (16592), (16594),
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18256), (18326), (18336), (18342),
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #20.
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18343)  all_54_10 = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (18312), (18343) are inconsistent by
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1618.
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18344)  all_56_5 = e0 & op(e2, e1) = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (18257), (18344), (function-axioms) are
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1476.
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18345)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18345) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18346)  all_56_8 = e0 & op(e1, e1) = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18346) implies:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18347)  op(e1, e1) = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (349), (18260), (18312), (18315), (18347),
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #120.
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18348)  all_56_14 = e0 & op(e0, e1) = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18348) implies:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18349)  all_56_14 = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18350)  op(e0, e1) = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18318) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18351)  all_54_10 = e1
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (18351) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18352)  all_14_2 = e1
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18352) implies:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18353)  all_14_2 = e1
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (18353) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18354)   ~ (all_52_8 = e1)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (379), (18353) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18355)   ~ (all_52_11 = e1)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (18353) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18356)   ~ (all_52_14 = e1)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18260), (18353) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18357)   ~ (e2 = e1)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (18353) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18358)  op(e1, e1) = e1
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e1, e0, simplifying with (157), (18350) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18359)  all_52_11 = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e0, e1, simplifying with (160), (18327) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18360)  all_52_14 = e0
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (18360) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18361)   ~ (all_6_2 = e0)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18361) implies:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18362)   ~ (all_6_2 = e0)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18356), (18360) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18363)   ~ (e1 = e0)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18364)  all_54_15 = e3
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (18364) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18365)  all_6_2 = e3
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18365) implies:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18366)  all_6_2 = e3
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (18366) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18367)   ~ (all_52_7 = e3)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (18366) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18368)   ~ (all_52_12 = e3)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (18366) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18369)   ~ (all_52_13 = e3)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (18366) imply:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18370)  op(e0, e0) = e3
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18371)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (18259), (18305), (18371),
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #152.
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18372)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18372) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18373)  all_56_7 = e3 & op(e1, e2) = e3
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18373) implies:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18374)  all_56_7 = e3
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18253) gives:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18375)   ~ (all_12_0 = e3) & op(e0, e0) = all_12_0 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_12_0)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18375) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18376)   ~ (all_12_0 = e3)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18377)  op(e0, e0) = all_12_0
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18370), (18376), (18377), (function-axioms) are
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #545.
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18378)   ~ (all_12_1 = e1) & op(e0, e2) = all_12_1 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_12_1)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18378) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18379)   ~ (all_12_1 = e1)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18380)  op(e0, e2) = all_12_1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18381)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (16591), (18305), (18381),
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #45.
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18382)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18382) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18383)  all_56_4 = e3 & op(e3, e1) = e3
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18383) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18384)  all_56_4 = e3
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18385)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e2)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18385) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18386)  all_56_6 = e2 & op(e1, e3) = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18386) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18387)  all_56_6 = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18388)  op(e1, e3) = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18389)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18389) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18390)  all_56_4 = e2 & op(e3, e1) = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18390) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18391)  all_56_4 = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18384), (18391) imply:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18392)  e3 = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18374), (18392) imply:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18393)  all_56_7 = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (18326), (18358), (18387),
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18393), (function-axioms) are inconsistent by
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #452.
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18394)  all_56_5 = e2 & op(e2, e1) = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18394) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18395)  all_56_5 = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18396)  op(e2, e1) = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18397)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18397) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18398)  all_56_0 = e3 & op(e3, e3) = e3
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18398) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18399)  op(e3, e3) = e3
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16591), (18399), (function-axioms) are
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #55.
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18400)  all_56_2 = e3 & op(e2, e3) = e3
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18400) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18401)  all_56_2 = e3
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18402)  op(e2, e3) = e3
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18403)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18403) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18404)  all_56_2 = e1 & op(e2, e3) = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18404) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18405)  all_56_2 = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18401), (18405) imply:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18406)  e3 = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18406) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18407)  e3 = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18384), (18407) imply:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18408)  all_56_4 = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (18349),
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18358), (18408), (function-axioms) are
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1468.
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18409)  all_56_3 = e1 & op(e2, e2) = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18409) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18410)  op(e2, e2) = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18259), (18410), (function-axioms) are
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1310.
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18411)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18411) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18412)  all_56_5 = e1 & op(e2, e1) = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18412) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18413)  op(e2, e1) = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18396), (18413), (function-axioms) are
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1148.
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18414)  all_56_10 = e1 & op(e2, e0) = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18414) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18415)  all_56_10 = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18416)  op(e2, e0) = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18417)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18417) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18418)  all_56_9 = e2 & op(e3, e0) = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18418) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18419)  all_56_9 = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18420)  op(e3, e0) = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18421)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18421) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18422)  all_56_0 = e1 & op(e3, e3) = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18422) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18423)  op(e3, e3) = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16591), (18423), (function-axioms) are
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #49.
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18424)  all_56_1 = e1 & op(e3, e2) = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18424) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18425)  op(e3, e2) = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18426)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e2)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18426) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18427)  all_56_1 = e2 & op(e3, e2) = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18427) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18428)  op(e3, e2) = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18425), (18428), (function-axioms) are
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1424.
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18429)  all_56_3 = e2 & op(e2, e2) = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18429) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18430)  op(e2, e2) = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (210),
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (221), (224), (16592), (18356), (18395), (18396),
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18415), (18419), (18430), (function-axioms) are
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #789.
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18431)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18431) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18432)  all_56_7 = e2 & op(e1, e2) = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18432) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18433)  all_56_7 = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (18326), (18358), (18387),
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18433), (function-axioms) are inconsistent by
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #452.
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18434)  all_56_13 = e2 & op(e0, e2) = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18434) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18435)  op(e0, e2) = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (158), (18435) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18436)  all_52_7 = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_12_1, e2, e0, simplifying with (158), (18380)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18437)  all_52_7 = all_12_1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e2,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (18388) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18438)  all_52_2 = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e2, simplifying with (164), (18416) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18439)  all_52_13 = e1
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (18396) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18440)  all_52_9 = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (18402) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18441)  all_52_1 = e3
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, e3, simplifying with (168), (18420) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18442)  all_52_12 = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18436), (18437) imply:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18443)  all_12_1 = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18301), (18436) imply:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18444)  all_57_26 = e2
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18368), (18442) imply:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18445)   ~ (e3 = e2)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18369), (18439) imply:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18446)   ~ (e3 = e1)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18447)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18447) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18448)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18448) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18449)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18449) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18450)  op(e3, e2) = e3
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18305), (18450), (function-axioms) are
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1603.
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18451)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18451) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18452)  op(e1, e3) = e3
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18388), (18452), (function-axioms) are
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1021.
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18453)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18453) gives:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18454)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18454) implies:
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18455)  op(e0, e3) = e3
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (39), (157), (159), (207), (16592),
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18355), (18435), (18455), (function-axioms) are
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #275.
% 183.77/28.80  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18456)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18456) implies:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18457)  op(e3, e2) = e2
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (170), (18435), (18457),
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1342.
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18458)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18458) gives:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18459)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18459) gives:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18460)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18460) implies:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18461)   ~ (all_57_4 = e3)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18462)  op(e2, e3) = all_57_19
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18463)  op(e2, all_57_19) = all_57_4
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18402), (18461), (18462), (18463),
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1282.
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18464)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_20) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18464) implies:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18465)   ~ (all_57_29 = e0)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18259), (18300), (18465), (function-axioms) are
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1334.
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18466)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18466) gives:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18467)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18467) implies:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18468)  op(e3, e1) = e1
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (18354), (18468), (function-axioms) are
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18469)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (18356), (18396), (18444), (18469),
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #276.
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18470)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18470) gives:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18471)  all_56_4 = e1 & op(e3, e1) = e1
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18471) implies:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18472)  all_56_4 = e1
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (219), (220), (18349),
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18358), (18472), (function-axioms) are
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1468.
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18473)  all_56_9 = e1 & op(e3, e0) = e1
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18473) implies:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18474)  all_56_9 = e1
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18419), (18474) imply:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18475)  e2 = e1
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18475) implies:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18476)  e2 = e1
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18387), (18476) imply:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18477)  all_56_6 = e1
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (215),
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (18256), (18326), (18358), (18477),
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #162.
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18478)  all_56_10 = e2 & op(e2, e0) = e2
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18478) implies:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18479)  all_56_10 = e2
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18415), (18479) imply:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18480)  e2 = e1
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18387), (18480) imply:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18481)  all_56_6 = e1
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (215),
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216), (18256), (18326), (18358), (18481),
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #162.
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18482)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18482) gives:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18483)  all_56_11 = e2 & op(e1, e0) = e2
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18483) implies:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18484)  all_56_11 = e2
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (213), (216), (18358),
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18387), (18484), (function-axioms) are
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1450.
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18485)  all_56_15 = e2 & op(e0, e0) = e2
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18485) implies:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18486)  op(e0, e0) = e2
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18370), (18486), (function-axioms) are
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18487)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18487) gives:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18488)  all_56_6 = e3 & op(e1, e3) = e3
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18488) implies:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18489)  op(e1, e3) = e3
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18388), (18489), (function-axioms) are
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1021.
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18490)  all_56_12 = e3 & op(e0, e3) = e3
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18490) implies:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18491)  all_56_12 = e3
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18492)  op(e0, e3) = e3
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (206),
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (207), (208), (16592), (16594), (18370), (18491),
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18492), (function-axioms) are inconsistent by
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #241.
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18493)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18493) gives:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18494)  all_56_8 = e2 & op(e1, e1) = e2
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18494) implies:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18495)  op(e1, e1) = e2
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (214), (216), (18326),
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18387), (18495), (function-axioms) are
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1162.
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18496)  all_56_14 = e2 & op(e0, e1) = e2
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18349), (18496) are inconsistent by
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1472.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18497)  all_56_7 = e2 & op(e1, e2) = e2
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18374), (18497) are inconsistent by
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1072.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18498)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e0) = e2)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18498) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18499)  all_56_8 = e2 & op(e1, e1) = e2
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18499) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18500)  op(e1, e1) = e2
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (39), (242), (243), (16591), (16592),
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18259), (18350), (18500), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #18.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18501)  all_56_11 = e2 & op(e1, e0) = e2
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18501) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18502)  all_56_11 = e2
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18326), (18502) imply:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18503)  e2 = e0
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (18503) imply:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18504)  $false
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18504) is inconsistent.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18505)  all_56_9 = e3 & op(e3, e0) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18505) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18506)  all_56_9 = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (162), (210),
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (211), (213), (215), (216), (16592), (16594),
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18256), (18326), (18358), (18506),
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #20.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18507)  all_56_13 = e3 & op(e0, e2) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (18367), (18507), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #61.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18508)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (16592), (16594), (18362), (18508) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #424.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18509)  all_54_10 = e0
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (18312), (18509) are inconsistent by
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1618.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | |   (18510)  all_26_2 = e0
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (18510) imply:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | |   (18511)  all_14_2 = e0
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (18511) imply:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | |   (18512)  op(e1, e1) = e0
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | |   (18513)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16591), (18259), (18513), (function-axioms)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #19.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | |   (18514)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & $i(all_57_17))
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18514) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (18515)  all_57_30 = e1 & op(e1, e1) = e1
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18515) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (18516)  op(e1, e1) = e1
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18512), (18516), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (18517)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_17))
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18517) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18518)  all_57_31 = e1 & op(e0, e0) = e1
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18518) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18519)  op(e0, e0) = e1
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16592), (18519), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18520)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18520) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18521)   ~ (all_57_17 = e3)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18522)  op(e3, e1) = all_57_17
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18523)  all_56_15 = e0 & op(e0, e0) = e0
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18523) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18524)  op(e0, e0) = e0
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18525)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16591), (18259), (18525), (function-axioms)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #19.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18526)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_30 & $i(all_57_30))
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18526) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18527)  all_57_30 = e1 & op(e1, e1) = e1
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18527) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18528)  op(e1, e1) = e1
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18512), (18528), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18529)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_30))
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18529) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18530)  all_57_31 = e1 & op(e0, e0) = e1
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18530) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18531)  op(e0, e0) = e1
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18524), (18531), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18532)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18532) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18533)   ~ (all_57_30 = e1)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18534)  op(e1, e1) = all_57_30
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18535)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16591), (18259), (18535), (function-axioms)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #19.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18536)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_20 & $i(all_57_20))
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18536) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18537)  all_57_30 = e1 & op(e1, e1) = e1
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18537) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18538)  op(e1, e1) = e1
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18533), (18534), (18538), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18539)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20))
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18539) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18540)  all_57_31 = e1 & op(e0, e0) = e1
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18540) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18541)  op(e0, e0) = e1
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18524), (18541), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18542)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18542) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18543)   ~ (all_57_20 = e2)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18544)  op(e2, e1) = all_57_20
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2, e0,
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e0, simplifying with (39), (18524) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18545)  all_6_2 = e0
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30, e1, e1, simplifying with (18512),
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (18534) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18546)  all_57_30 = e0
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (165), (18544)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18547)  all_57_20 = all_52_9
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17, e1, e3, simplifying with (169), (18522)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18548)  all_57_17 = all_52_8
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18521), (18548) imply:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18549)   ~ (all_52_8 = e3)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18543), (18547) imply:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18550)   ~ (all_52_9 = e2)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (18545) imply:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18551)   ~ (all_52_13 = e0)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (18545) imply:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18552)   ~ (all_52_14 = e0)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18553)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16591), (18259), (18553), (function-axioms)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #17.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18554)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & $i(all_57_28))
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18554) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18555)  all_57_30 = e3 & op(e1, e1) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18555) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18556)  op(e1, e1) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (18310), (18556), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18557)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28))
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18557) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18558)  all_57_31 = e3 & op(e0, e0) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18558) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18559)  op(e0, e0) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18524), (18559), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18560)   ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18560) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18561)   ~ (all_57_28 = e3)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18562)  op(e3, e3) = all_57_28
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18563)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18563) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18564)  all_56_0 = e3 & op(e3, e3) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18564) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18565)  op(e3, e3) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18561), (18562), (18565), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1539.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18566)  all_56_1 = e3 & op(e3, e2) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18566) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18567)  op(e3, e2) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18305), (18567), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1603.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18568)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18568) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18569)  all_56_4 = e3 & op(e3, e1) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18569) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18570)  op(e3, e1) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (18549), (18570), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18571)  all_56_9 = e3 & op(e3, e0) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18571) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18572)  op(e3, e0) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18573)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18259), (18561), (18562), (18573),
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #16.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18574)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_22 & $i(all_57_22))
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18574) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18575)  all_57_30 = e3 & op(e1, e1) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18575) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18576)  op(e1, e1) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (18310), (18576), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18577)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22))
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18577) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18578)  all_57_31 = e3 & op(e0, e0) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18578) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18579)  op(e0, e0) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18524), (18579), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18580)   ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18580) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18581)   ~ (all_57_22 = e1)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18582)  op(e1, e3) = all_57_22
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18583)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18259), (18561), (18562), (18583),
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #16.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18584)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & $i(all_57_25))
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18584) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18585)  all_57_30 = e3 & op(e1, e1) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18585) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18586)  op(e1, e1) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (18310), (18586), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18587)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_25))
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18587) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18588)  all_57_31 = e3 & op(e0, e0) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18588) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18589)  op(e0, e0) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18524), (18589), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18590)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_25)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18590) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18591)   ~ (all_57_25 = e0)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18592)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18259), (18561), (18562), (18592),
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #16.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18593)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & $i(all_57_19))
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18593) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18594)  all_57_30 = e3 & op(e1, e1) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18594) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18595)  op(e1, e1) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (18310), (18595), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18596)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19))
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18596) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18597)  all_57_31 = e3 & op(e0, e0) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18597) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18598)  op(e0, e0) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18524), (18598), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1540.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18599)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18599) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18600)   ~ (all_57_19 = e2)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18601)  op(e2, e3) = all_57_19
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18602)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18602) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18603)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18603) gives:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18604)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18604) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18605)  op(e3, e2) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (168), (170), (201), (285), (18572),
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18605), (function-axioms) are inconsistent by
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1089.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18606)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18606) implies:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18607)  op(e3, e1) = e3
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (18549), (18607), (function-axioms) are
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1346.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18608)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16591), (18600), (18601), (18608),
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #15.
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18609)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.77/28.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18609) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18610)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18610) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18611)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18611) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18612)  op(e2, e1) = e2
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (198), (276), (18257), (18550), (18612),
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1145.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18613)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_20) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18613) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18614)   ~ (all_57_29 = e0)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18259), (18300), (18614), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1334.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18615)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18615) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18616)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18616) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18617)  op(e1, e3) = e1
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18581), (18582), (18617), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #91.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18618)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18618) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18619)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18619) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18620)  op(e1, e2) = e1
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (18306), (18620), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #834.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18621)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18621) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18622)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18622) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18623)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18623) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18624)   ~ (all_57_30 = e0)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18546), (18624) imply:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18625)  $false
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18625) is inconsistent.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18626)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18626) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18627)   ~ (all_57_15 = e0)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18628)  op(e0, e0) = all_57_31
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18629)  op(e0, all_57_31) = all_57_15
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18630)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (18551), (18552), (18591), (18627),
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18628), (18629), (18630), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1280.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18631)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18631) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18632)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18633)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16591), (18259), (18633), (function-axioms)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #19.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18634)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = all_57_27 & $i(all_57_27))
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18634) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18635)  all_57_30 = e1 & op(e1, e1) = e1
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18635) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18636)  op(e1, e1) = e1
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18512), (18636), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1619.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18637)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_27))
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18637) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18638)  all_57_31 = e1 & op(e0, e0) = e1
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18638) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18639)  op(e0, e0) = e1
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16592), (18639), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18640)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_27)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18640) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18641)   ~ (all_57_27 = e0)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18642)  op(e0, e1) = all_57_27
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18632) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18643)  all_56_12 = e0 & op(e0, e3) = e0
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (16584), (18643), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #14.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18644)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18644) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18645)  all_56_13 = e0 & op(e0, e2) = e0
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18645) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18646)  op(e0, e2) = e0
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (18307), (18646), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1463.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18647)  all_56_14 = e0 & op(e0, e1) = e0
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18647) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18648)  op(e0, e1) = e0
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18641), (18642), (18648), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #30.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | |   (18649)  all_16_2 = e3
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | |   (18650)  ( ~ (all_16_0 = e0) & op(e3, e3) = all_16_0 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | |              $i(all_16_0)) | ( ~ (all_16_1 = e2) & op(e3, e1)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | |              = all_16_1 & $i(all_16_1))
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (18649) imply:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | |   (18651)  all_14_2 = e3
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | SIMP: (18651) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | |   (18652)  all_14_2 = e3
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (18652) imply:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | |   (18653)   ~ (all_52_6 = e3)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (18652) imply:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | |   (18654)  op(e1, e1) = e3
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | |   (18655)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (16591), (18305), (18655),
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | |            #45.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | |   (18656)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18656) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | |   (18657)  all_56_4 = e3 & op(e3, e1) = e3
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18657) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | |   (18658)  all_56_4 = e3
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (217), (218),
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | |            (219), (18257), (18654), (18658),
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | |            #425.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | |   (18659)  all_56_9 = e3 & op(e3, e0) = e3
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18659) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | |   (18660)  all_56_9 = e3
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | |   (18661)  op(e3, e0) = e3
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (18662)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (133), (168), (170), (201), (285), (18259),
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | |            (18661), (18662), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #139.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | |   (18663)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18663) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18664)  all_56_7 = e3 & op(e1, e2) = e3
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (18653), (18664), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #990.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18665)  all_56_13 = e3 & op(e0, e2) = e3
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18665) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18666)  all_56_13 = e3
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18650) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18667)   ~ (all_16_0 = e0) & op(e3, e3) = all_16_0 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_16_0)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16591), (18667), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #27.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18668)   ~ (all_16_1 = e2) & op(e3, e1) = all_16_1 &
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_16_1)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18668) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18669)   ~ (all_16_1 = e2)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18670)  op(e3, e1) = all_16_1
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18671)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18671) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18672)  all_56_1 = e1 & op(e3, e2) = e1
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18672) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18673)  op(e3, e2) = e1
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18674)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e2)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (16591), (18673), (18674),
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #43.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18675)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e2)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18675) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18676)  all_56_4 = e2 & op(e3, e1) = e2
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18669), (18670), (18676), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #26.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18677)  all_56_9 = e2 & op(e3, e0) = e2
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18677) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18678)  all_56_9 = e2
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18660), (18678) are inconsistent by
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1576.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18679)  all_56_3 = e1 & op(e2, e2) = e1
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18679) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18680)  op(e2, e2) = e1
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18259), (18680), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1310.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18681)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18681) gives:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18682)  all_56_7 = e1 & op(e1, e2) = e1
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18682) implies:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18683)  op(e1, e2) = e1
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (18306), (18683), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #834.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18684)  all_56_13 = e1 & op(e0, e2) = e1
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18666), (18684) are inconsistent by
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1460.
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | 
% 183.77/28.83  | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | 
% 183.77/28.83  | | | | | | | | |   (18685)  all_14_2 = e2
% 183.77/28.83  | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | REDUCE: (51), (18685) imply:
% 183.77/28.83  | | | | | | | | |   (18686)  op(e1, e1) = e2
% 183.77/28.83  | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | BETA: splitting (217) gives:
% 183.77/28.83  | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | |   (18687)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 183.77/28.83  | | | | | | | | | |              & op(e2, e1) = e0)
% 183.77/28.83  | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | BETA: splitting (18687) gives:
% 183.77/28.83  | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | |   (18688)  all_56_4 = e0 & op(e3, e1) = e0
% 183.77/28.83  | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | ALPHA: (18688) implies:
% 183.77/28.83  | | | | | | | | | | |   (18689)  op(e3, e1) = e0
% 183.77/28.83  | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | BETA: splitting (245) gives:
% 183.77/28.83  | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | |   (18690)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.77/28.83  | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 183.77/28.83  | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | REF_CLOSE: (4), (16591), (18259), (18690), (function-axioms)
% 183.77/28.83  | | | | | | | | | | | |            are inconsistent by sub-proof #19.
% 183.77/28.83  | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | |   (18691)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.77/28.83  | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 183.77/28.83  | | | | | | | | | | | |              op(e3, e1) = all_57_17 & $i(all_57_17))
% 183.77/28.83  | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | BETA: splitting (18691) gives:
% 183.77/28.83  | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | |   (18692)  all_57_30 = e1 & op(e1, e1) = e1
% 183.77/28.83  | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | ALPHA: (18692) implies:
% 183.77/28.83  | | | | | | | | | | | | |   (18693)  op(e1, e1) = e1
% 183.77/28.83  | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | REF_CLOSE: (6), (18686), (18693), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 183.77/28.83  | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | |   (18694)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.77/28.83  | | | | | | | | | | | | |              (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 183.77/28.83  | | | | | | | | | | | | |              $i(all_57_17))
% 183.77/28.83  | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | | REF_CLOSE: (39), (169), (16586), (16592), (18689), (18694),
% 183.77/28.83  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.83  | | | | | | | | | | | | |            #443.
% 183.77/28.83  | | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | |   (18695)  all_56_5 = e0 & op(e2, e1) = e0
% 183.77/28.83  | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | REF_CLOSE: (165), (18257), (18695), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | |            inconsistent by sub-proof #1476.
% 183.77/28.83  | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | |   (18696)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 183.77/28.83  | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 183.77/28.83  | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | BETA: splitting (18696) gives:
% 183.77/28.83  | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | |   (18697)  all_56_8 = e0 & op(e1, e1) = e0
% 183.77/28.83  | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | ALPHA: (18697) implies:
% 183.77/28.83  | | | | | | | | | | |   (18698)  op(e1, e1) = e0
% 183.77/28.83  | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | REF_CLOSE: (5), (18686), (18698), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | |            inconsistent by sub-proof #1230.
% 183.77/28.83  | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | |   (18699)  all_56_14 = e0 & op(e0, e1) = e0
% 183.77/28.83  | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | ALPHA: (18699) implies:
% 183.77/28.83  | | | | | | | | | | |   (18700)  op(e0, e1) = e0
% 183.77/28.83  | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | | REF_CLOSE: (4), (6), (39), (242), (243), (16591), (16592),
% 183.77/28.83  | | | | | | | | | | |            (18259), (18686), (18700), (function-axioms) are
% 183.77/28.83  | | | | | | | | | | |            inconsistent by sub-proof #18.
% 183.77/28.83  | | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | | 
% 183.77/28.83  | | | | | | | | End of split
% 183.77/28.83  | | | | | | | | 
% 183.77/28.83  | | | | | | | End of split
% 183.77/28.83  | | | | | | | 
% 183.77/28.83  | | | | | | Case 2:
% 183.77/28.83  | | | | | | | 
% 183.77/28.83  | | | | | | |   (18701)  all_10_2 = e3
% 183.77/28.83  | | | | | | | 
% 183.77/28.83  | | | | | | | COMBINE_EQS: (306), (18701) imply:
% 183.77/28.83  | | | | | | |   (18702)  all_50_2 = e3
% 183.77/28.83  | | | | | | | 
% 183.77/28.83  | | | | | | | REDUCE: (362), (18701) imply:
% 183.77/28.83  | | | | | | |   (18703)   ~ (all_52_1 = e3)
% 183.77/28.83  | | | | | | | 
% 183.77/28.83  | | | | | | | REDUCE: (365), (18701) imply:
% 183.77/28.83  | | | | | | |   (18704)   ~ (all_52_4 = e3)
% 183.77/28.83  | | | | | | | 
% 183.77/28.83  | | | | | | | REDUCE: (367), (18701) imply:
% 183.77/28.83  | | | | | | |   (18705)   ~ (all_52_6 = e3)
% 183.77/28.83  | | | | | | | 
% 183.77/28.83  | | | | | | | REDUCE: (369), (18701) imply:
% 183.77/28.83  | | | | | | |   (18706)   ~ (all_52_7 = e3)
% 183.77/28.83  | | | | | | | 
% 183.77/28.83  | | | | | | | REDUCE: (45), (18701) imply:
% 183.77/28.83  | | | | | | |   (18707)  op(e2, e2) = e3
% 183.77/28.83  | | | | | | | 
% 183.77/28.83  | | | | | | | BETA: splitting (106) gives:
% 183.77/28.83  | | | | | | | 
% 183.77/28.83  | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | 
% 183.77/28.83  | | | | | | | |   (18708)   ~ (all_50_2 = e3)
% 183.77/28.83  | | | | | | | | 
% 183.77/28.83  | | | | | | | | REDUCE: (18702), (18708) imply:
% 183.77/28.83  | | | | | | | |   (18709)  $false
% 183.77/28.83  | | | | | | | | 
% 183.77/28.83  | | | | | | | | CLOSE: (18709) is inconsistent.
% 183.77/28.83  | | | | | | | | 
% 183.77/28.83  | | | | | | | Case 2:
% 183.77/28.83  | | | | | | | | 
% 183.77/28.83  | | | | | | | |   (18710)  ( ~ (all_50_0 = e0) & op(e3, e3) = all_50_0 &
% 183.77/28.83  | | | | | | | |              $i(all_50_0)) | ( ~ (all_50_1 = e1) & op(e3, e2) =
% 183.77/28.83  | | | | | | | |              all_50_1 & $i(all_50_1))
% 183.77/28.83  | | | | | | | | 
% 183.77/28.83  | | | | | | | | BETA: splitting (18710) gives:
% 183.77/28.83  | | | | | | | | 
% 183.77/28.83  | | | | | | | | Case 1:
% 183.77/28.83  | | | | | | | | | 
% 183.77/28.83  | | | | | | | | |   (18711)   ~ (all_50_0 = e0) & op(e3, e3) = all_50_0 &
% 183.77/28.83  | | | | | | | | |            $i(all_50_0)
% 183.77/28.83  | | | | | | | | | 
% 183.77/28.83  | | | | | | | | | ALPHA: (18711) implies:
% 183.77/28.83  | | | | | | | | |   (18712)   ~ (all_50_0 = e0)
% 183.77/28.84  | | | | | | | | |   (18713)  op(e3, e3) = all_50_0
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_50_0,
% 183.77/28.84  | | | | | | | | |              e3, e3, simplifying with (16591), (18713) gives:
% 183.77/28.84  | | | | | | | | |   (18714)  all_50_0 = e0
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | REDUCE: (18712), (18714) imply:
% 183.77/28.84  | | | | | | | | |   (18715)  $false
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | CLOSE: (18715) is inconsistent.
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | |   (18716)   ~ (all_50_1 = e1) & op(e3, e2) = all_50_1 &
% 183.77/28.84  | | | | | | | | |            $i(all_50_1)
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | ALPHA: (18716) implies:
% 183.77/28.84  | | | | | | | | |   (18717)   ~ (all_50_1 = e1)
% 183.77/28.84  | | | | | | | | |   (18718)  op(e3, e2) = all_50_1
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 183.77/28.84  | | | | | | | | |              all_50_1, e2, e3, simplifying with (170), (18718)
% 183.77/28.84  | | | | | | | | |              gives:
% 183.77/28.84  | | | | | | | | |   (18719)  all_52_4 = all_50_1
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | COMBINE_EQS: (287), (18719) imply:
% 183.77/28.84  | | | | | | | | |   (18720)  all_54_1 = all_50_1
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | REDUCE: (136), (18719) imply:
% 183.77/28.84  | | | | | | | | |   (18721)   ~ (all_52_6 = all_50_1)
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | SIMP: (18721) implies:
% 183.77/28.84  | | | | | | | | |   (18722)   ~ (all_52_6 = all_50_1)
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | REDUCE: (135), (18719) imply:
% 183.77/28.84  | | | | | | | | |   (18723)   ~ (all_52_7 = all_50_1)
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | SIMP: (18723) implies:
% 183.77/28.84  | | | | | | | | |   (18724)   ~ (all_52_7 = all_50_1)
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | REDUCE: (134), (18719) imply:
% 183.77/28.84  | | | | | | | | |   (18725)   ~ (all_52_8 = all_50_1)
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | SIMP: (18725) implies:
% 183.77/28.84  | | | | | | | | |   (18726)   ~ (all_52_8 = all_50_1)
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | REDUCE: (133), (18719) imply:
% 183.77/28.84  | | | | | | | | |   (18727)   ~ (all_52_12 = all_50_1)
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | SIMP: (18727) implies:
% 183.77/28.84  | | | | | | | | |   (18728)   ~ (all_52_12 = all_50_1)
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | REDUCE: (18704), (18719) imply:
% 183.77/28.84  | | | | | | | | |   (18729)   ~ (all_50_1 = e3)
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | REDUCE: (16585), (18719) imply:
% 183.77/28.84  | | | | | | | | |   (18730)   ~ (all_50_1 = e0)
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | BETA: splitting (203) gives:
% 183.77/28.84  | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | |   (18731)  all_54_1 = e3
% 183.77/28.84  | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | REF_CLOSE: (18720), (18729), (18731) are inconsistent by
% 183.77/28.84  | | | | | | | | | |            sub-proof #13.
% 183.77/28.84  | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | |   (18732)   ~ (all_54_1 = e3)
% 183.77/28.84  | | | | | | | | | |   (18733)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 183.77/28.84  | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | BETA: splitting (18733) gives:
% 183.77/28.84  | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | |   (18734)  all_54_1 = e2
% 183.77/28.84  | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | COMBINE_EQS: (18720), (18734) imply:
% 183.77/28.84  | | | | | | | | | | |   (18735)  all_50_1 = e2
% 183.77/28.84  | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | SIMP: (18735) implies:
% 183.77/28.84  | | | | | | | | | | |   (18736)  all_50_1 = e2
% 183.77/28.84  | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | REDUCE: (18722), (18736) imply:
% 183.77/28.84  | | | | | | | | | | |   (18737)   ~ (all_52_6 = e2)
% 183.77/28.84  | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | REDUCE: (18724), (18736) imply:
% 183.77/28.84  | | | | | | | | | | |   (18738)   ~ (all_52_7 = e2)
% 183.77/28.84  | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | REDUCE: (18726), (18736) imply:
% 183.77/28.84  | | | | | | | | | | |   (18739)   ~ (all_52_8 = e2)
% 183.77/28.84  | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | REDUCE: (18728), (18736) imply:
% 183.77/28.84  | | | | | | | | | | |   (18740)   ~ (all_52_12 = e2)
% 183.77/28.84  | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | REDUCE: (18729), (18736) imply:
% 183.77/28.84  | | | | | | | | | | |   (18741)   ~ (e3 = e2)
% 183.77/28.84  | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | REDUCE: (18718), (18736) imply:
% 183.77/28.84  | | | | | | | | | | |   (18742)  op(e3, e2) = e2
% 183.77/28.84  | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | BETA: splitting (55) gives:
% 183.77/28.84  | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | |   (18743)   ~ (all_16_2 = e3)
% 183.77/28.84  | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | REDUCE: (338), (18743) imply:
% 183.77/28.84  | | | | | | | | | | | |   (18744)   ~ (all_14_2 = e3)
% 183.77/28.84  | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | BETA: splitting (52) gives:
% 183.77/28.84  | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | |   (18745)   ~ (all_14_2 = e2)
% 183.77/28.84  | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | BETA: splitting (249) gives:
% 183.77/28.84  | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | |   (18746)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 183.77/28.84  | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 183.77/28.84  | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (16591), (18707), (18746),
% 183.77/28.84  | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.84  | | | | | | | | | | | | | |            #12.
% 183.77/28.84  | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | |   (18747)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 183.77/28.84  | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 183.77/28.84  | | | | | | | | | | | | | |              op(e3, e2) = all_57_16 & $i(all_57_16))
% 183.77/28.84  | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | BETA: splitting (18747) gives:
% 183.77/28.84  | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | |   (18748)  all_57_30 = e2 & op(e1, e1) = e2
% 183.77/28.84  | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | ALPHA: (18748) implies:
% 183.77/28.84  | | | | | | | | | | | | | | |   (18749)  op(e1, e1) = e2
% 183.77/28.84  | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | REF_CLOSE: (51), (18745), (18749), (function-axioms) are
% 183.77/28.84  | | | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 183.77/28.84  | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | |   (18750)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 183.77/28.84  | | | | | | | | | | | | | | |              (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 183.77/28.84  | | | | | | | | | | | | | | |              $i(all_57_16))
% 183.77/28.84  | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | BETA: splitting (18750) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | |   (18751)  all_57_31 = e2 & op(e0, e0) = e2
% 183.77/28.84  | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | ALPHA: (18751) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | |   (18752)  op(e0, e0) = e2
% 183.77/28.84  | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16594), (18752), (function-axioms) are
% 183.77/28.84  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 183.77/28.84  | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | |   (18753)   ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 183.77/28.84  | | | | | | | | | | | | | | | |            $i(all_57_16)
% 183.77/28.84  | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | ALPHA: (18753) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | |   (18754)  op(e3, e2) = all_57_16
% 183.77/28.84  | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | |   (18755)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 183.77/28.84  | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 183.77/28.84  | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (16591), (18707), (18755),
% 183.77/28.84  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.84  | | | | | | | | | | | | | | | | |            #12.
% 183.77/28.84  | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | |   (18756)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 183.77/28.84  | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 183.77/28.84  | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_26 & $i(all_57_26))
% 183.77/28.84  | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | BETA: splitting (18756) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | |   (18757)  all_57_30 = e2 & op(e1, e1) = e2
% 183.77/28.84  | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | ALPHA: (18757) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | | | |   (18758)  op(e1, e1) = e2
% 183.77/28.84  | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (18745), (18758), (function-axioms) are
% 183.77/28.84  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | |   (18759)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 183.77/28.84  | | | | | | | | | | | | | | | | | |              (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | |              $i(all_57_26))
% 183.77/28.84  | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | BETA: splitting (18759) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | |   (18760)  all_57_31 = e2 & op(e0, e0) = e2
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | ALPHA: (18760) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | |   (18761)  op(e0, e0) = e2
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16594), (18761), (function-axioms) are
% 183.77/28.84  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | |   (18762)   ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | |            $i(all_57_26)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | ALPHA: (18762) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | |   (18763)   ~ (all_57_26 = e0)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | |   (18764)  op(e0, e2) = all_57_26
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | |   (18765)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (16591), (18707), (18765),
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | |            #12.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | |   (18766)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & $i(all_57_23))
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | BETA: splitting (18766) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | |   (18767)  all_57_30 = e2 & op(e1, e1) = e2
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | ALPHA: (18767) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | |   (18768)  op(e1, e1) = e2
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (18745), (18768), (function-axioms) are
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | |   (18769)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | |              (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23))
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18769) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | |   (18770)  all_57_31 = e2 & op(e0, e0) = e2
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18770) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | |   (18771)  op(e0, e0) = e2
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16594), (18771), (function-axioms) are
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | |   (18772)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_23)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18772) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | |   (18773)  op(e1, e2) = all_57_23
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | |   (18774)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (16591), (18707), (18774),
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | |            #12.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | |   (18775)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_29 & $i(all_57_29))
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18775) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | |   (18776)  all_57_30 = e2 & op(e1, e1) = e2
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18776) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | |   (18777)  op(e1, e1) = e2
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (18745), (18777), (function-axioms) are
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | |   (18778)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29))
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18778) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (18779)  all_57_31 = e2 & op(e0, e0) = e2
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18779) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (18780)  op(e0, e0) = e2
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16594), (18780), (function-axioms) are
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (18781)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18781) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (18782)  op(e2, e2) = all_57_29
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26, e2, e0, simplifying with (158), (18764)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (18783)  all_57_26 = all_52_7
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_23, e2, e1, simplifying with (162), (18773)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (18784)  all_57_23 = all_52_6
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29, e2, e2, simplifying with (18707),
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |              (18782) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (18785)  all_57_29 = e3
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16, e2, e3, simplifying with (18742),
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |              (18754) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (18786)  all_57_16 = e2
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18763), (18783) imply:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | |   (18787)   ~ (all_52_7 = e0)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18788)  all_54_13 = e3
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (18788) imply:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18789)  all_52_7 = e3
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18706), (18789) imply:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18790)  $false
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18790) is inconsistent.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18791)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18791) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18792)  all_54_13 = e2
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (18738), (18792) are inconsistent by
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1185.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18793)  all_54_13 = e1 | all_54_13 = e0
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18793) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18794)  all_54_13 = e1
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (18794) imply:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18795)  all_52_7 = e1
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18795) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18796)  all_52_7 = e1
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18783), (18796) imply:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18797)  all_57_26 = e1
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (18796) imply:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18798)   ~ (all_52_6 = e1)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (18796) imply:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18799)   ~ (all_6_2 = e1)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18800)  all_54_9 = e3
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (18705), (18800) are inconsistent by
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18801)   ~ (all_54_9 = e3)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18802)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18802) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18803)  all_54_9 = e2
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (18737), (18803) are inconsistent by
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1323.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18804)   ~ (all_54_9 = e2)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18805)  all_54_9 = e1 | all_54_9 = e0
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18805) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18806)  all_54_9 = e1
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (18798), (18806) are inconsistent by
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1322.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18807)  all_54_9 = e0
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (18807) imply:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18808)  all_52_6 = e0
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18808) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18809)  all_52_6 = e0
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (18809) imply:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18810)   ~ (all_14_2 = e0)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18810) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18811)   ~ (all_14_2 = e0)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18812)  all_54_10 = e3
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (18744), (18812) are inconsistent by
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1621.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18813)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18813) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18814)  all_54_10 = e2
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (18745), (18814) are inconsistent by
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1620.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18815)   ~ (all_54_10 = e2)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18816)  all_54_10 = e1 | all_54_10 = e0
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18817)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18817) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18818)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18818) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18819)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17) = all_57_2 & op(e3, all_57_18) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18819) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18820)  op(e2, e3) = e3
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (18703), (18820), (function-axioms) are
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #286.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18821)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_18) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18821) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18822)   ~ (all_57_1 = e2)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18823)  op(e3, all_57_16) = all_57_1
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18754), (18786), (18822), (18823),
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #355.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18824)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18824) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18825)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18825) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18826)   ~ (all_57_1 = e2)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18827)  op(e3, all_57_16) = all_57_1
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18754), (18786), (18826), (18827),
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #355.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18828)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18828) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18829)   ~ (all_57_29 = e3)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18707), (18782), (18829), (function-axioms) are
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #130.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18830)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18830) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18831)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (162), (170), (18737), (18742),
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18831), (function-axioms) are inconsistent by
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #354.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18832)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18832) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18833)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18833) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18834)  op(e3, e1) = e1
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18816) gives:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18835)  all_54_10 = e1
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (18835) imply:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18836)  all_14_2 = e1
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18836) implies:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18837)  all_14_2 = e1
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (18837) imply:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18838)   ~ (all_52_8 = e1)
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (18834), (18838), (function-axioms) are
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1611.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18839)  all_54_10 = e0
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (18811), (18839) are inconsistent by
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1618.
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.84  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18840)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18840) gives:
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18841)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18841) implies:
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18842)  op(e2, e1) = e1
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (349), (377), (18745), (18811), (18813),
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18842), (function-axioms) are inconsistent by
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #179.
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18843)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.77/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18843) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18844)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18816) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18845)  all_54_10 = e1
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (18845) imply:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18846)  all_14_2 = e1
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18846) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18847)  all_14_2 = e1
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (18847) imply:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18848)   ~ (all_52_8 = e1)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (18847) imply:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18849)   ~ (all_52_14 = e1)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18850)  all_54_2 = e3
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (286), (18850) imply:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18851)  all_52_8 = e3
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18851) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18852)  all_52_8 = e3
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (18852) imply:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18853)   ~ (all_52_12 = e3)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18853) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18854)   ~ (all_52_12 = e3)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (113), (126), (128), (160), (164),
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (168), (195), (201), (210), (263), (273), (285),
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16587), (16592), (18705), (18737), (18740),
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18787), (18793), (18797), (18844), (18849),
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18854), (function-axioms) are inconsistent by
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #38.
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18855)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (170), (286), (16586), (18742), (18848),
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18855), (function-axioms) are inconsistent by
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #205.
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18856)  all_54_10 = e0
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (18811), (18856) are inconsistent by
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1618.
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18857)  all_54_13 = e0
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (263), (18787), (18857) are inconsistent by
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1312.
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | |   (18858)  all_14_2 = e2
% 183.91/28.85  | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | COMBINE_EQS: (347), (18858) imply:
% 183.91/28.85  | | | | | | | | | | | | |   (18859)  all_42_2 = e2
% 183.91/28.85  | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | REDUCE: (51), (18858) imply:
% 183.91/28.85  | | | | | | | | | | | | |   (18860)  op(e1, e1) = e2
% 183.91/28.85  | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | BETA: splitting (94) gives:
% 183.91/28.85  | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | |   (18861)   ~ (all_42_2 = e2)
% 183.91/28.85  | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | REDUCE: (18859), (18861) imply:
% 183.91/28.85  | | | | | | | | | | | | | |   (18862)  $false
% 183.91/28.85  | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | CLOSE: (18862) is inconsistent.
% 183.91/28.85  | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | |   (18863)  ( ~ (all_42_0 = e3) & op(e2, e2) = all_42_0 &
% 183.91/28.85  | | | | | | | | | | | | | |              $i(all_42_0)) | ( ~ (all_42_1 = e0) & op(e2, e1)
% 183.91/28.85  | | | | | | | | | | | | | |              = all_42_1 & $i(all_42_1))
% 183.91/28.85  | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | BETA: splitting (18863) gives:
% 183.91/28.85  | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | |   (18864)   ~ (all_42_0 = e3) & op(e2, e2) = all_42_0 &
% 183.91/28.85  | | | | | | | | | | | | | | |            $i(all_42_0)
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | REF_CLOSE: (18707), (18864), (function-axioms) are
% 183.91/28.85  | | | | | | | | | | | | | | |            inconsistent by sub-proof #233.
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | |   (18865)   ~ (all_42_1 = e0) & op(e2, e1) = all_42_1 &
% 183.91/28.85  | | | | | | | | | | | | | | |            $i(all_42_1)
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | ALPHA: (18865) implies:
% 183.91/28.85  | | | | | | | | | | | | | | |   (18866)   ~ (all_42_1 = e0)
% 183.91/28.85  | | | | | | | | | | | | | | |   (18867)  op(e2, e1) = all_42_1
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | |   (18868)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.91/28.85  | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 183.91/28.85  | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (16591), (18707), (18868),
% 183.91/28.85  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.91/28.85  | | | | | | | | | | | | | | | |            #11.
% 183.91/28.85  | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | |   (18869)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.91/28.85  | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 183.91/28.85  | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_20 & $i(all_57_20))
% 183.91/28.85  | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | BETA: splitting (18869) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | |   (18870)  all_57_30 = e1 & op(e1, e1) = e1
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | ALPHA: (18870) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | |   (18871)  op(e1, e1) = e1
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18860), (18871), (function-axioms) are
% 183.91/28.85  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | |   (18872)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.91/28.85  | | | | | | | | | | | | | | | | |              (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 183.91/28.85  | | | | | | | | | | | | | | | | |              $i(all_57_20))
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | BETA: splitting (18872) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | |   (18873)  all_57_31 = e1 & op(e0, e0) = e1
% 183.91/28.85  | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | ALPHA: (18873) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | | |   (18874)  op(e0, e0) = e1
% 183.91/28.85  | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16592), (18874), (function-axioms) are
% 183.91/28.85  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1516.
% 183.91/28.85  | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | |   (18875)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | |            $i(all_57_20)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | ALPHA: (18875) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | | |   (18876)  op(e2, e1) = all_57_20
% 183.91/28.85  | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | |   (18877)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e0) = e2)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | BETA: splitting (18877) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | |   (18878)  all_56_9 = e2 & op(e3, e0) = e2
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | ALPHA: (18878) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | |   (18879)  op(e3, e0) = e2
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | |              e2, e0, e3, simplifying with (168), (18879) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | |   (18880)  all_52_12 = e2
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | REDUCE: (18740), (18880) imply:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | |   (18881)  $false
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | CLOSE: (18881) is inconsistent.
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | |   (18882)  all_56_10 = e2 & op(e2, e0) = e2
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | ALPHA: (18882) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | |   (18883)  all_56_10 = e2
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | |   (18884)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (16582), (18707), (18884),
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | |            #10.
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | |   (18885)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18885) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |   (18886)  all_56_5 = e0 & op(e2, e1) = e0
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18886) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |   (18887)  op(e2, e1) = e0
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (18887) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |   (18888)  all_52_9 = e0
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (165), (18876)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |   (18889)  all_57_20 = all_52_9
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_42_1,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (18867),
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |              (18876) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |   (18890)  all_57_20 = all_42_1
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18889), (18890) imply:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |   (18891)  all_52_9 = all_42_1
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | SIMP: (18891) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |   (18892)  all_52_9 = all_42_1
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18888), (18892) imply:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |   (18893)  all_42_1 = e0
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18866), (18893) imply:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |   (18894)  $false
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18894) is inconsistent.
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |   (18895)  all_56_10 = e0 & op(e2, e0) = e0
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18883), (18895) are inconsistent by
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1160.
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | |   (18896)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (213), (214),
% 183.91/28.85  | | | | | | | | | | | | | | | | | | |            (216), (16594), (18860), (18896),
% 183.91/28.85  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.91/28.85  | | | | | | | | | | | | | | | | | | |            #885.
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | |   (18897)  all_16_2 = e3
% 183.91/28.85  | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | COMBINE_EQS: (338), (18897) imply:
% 183.91/28.85  | | | | | | | | | | | |   (18898)  all_14_2 = e3
% 183.91/28.85  | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | SIMP: (18898) implies:
% 183.91/28.85  | | | | | | | | | | | |   (18899)  all_14_2 = e3
% 183.91/28.85  | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | REDUCE: (363), (18899) imply:
% 183.91/28.85  | | | | | | | | | | | |   (18900)   ~ (all_52_2 = e3)
% 183.91/28.85  | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | REDUCE: (376), (18899) imply:
% 183.91/28.85  | | | | | | | | | | | |   (18901)   ~ (all_52_8 = e3)
% 183.91/28.85  | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | REDUCE: (51), (18899) imply:
% 183.91/28.85  | | | | | | | | | | | |   (18902)  op(e1, e1) = e3
% 183.91/28.85  | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | BETA: splitting (202) gives:
% 183.91/28.85  | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | |   (18903)  all_54_2 = e3
% 183.91/28.85  | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | COMBINE_EQS: (286), (18903) imply:
% 183.91/28.85  | | | | | | | | | | | | |   (18904)  all_52_8 = e3
% 183.91/28.85  | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | REDUCE: (18901), (18904) imply:
% 183.91/28.85  | | | | | | | | | | | | |   (18905)  $false
% 183.91/28.85  | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | CLOSE: (18905) is inconsistent.
% 183.91/28.85  | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | |   (18906)   ~ (all_54_2 = e3)
% 183.91/28.85  | | | | | | | | | | | | |   (18907)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 183.91/28.85  | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | BETA: splitting (18907) gives:
% 183.91/28.85  | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | |   (18908)  all_54_2 = e2
% 183.91/28.85  | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | COMBINE_EQS: (286), (18908) imply:
% 183.91/28.85  | | | | | | | | | | | | | |   (18909)  all_52_8 = e2
% 183.91/28.85  | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | REDUCE: (18739), (18909) imply:
% 183.91/28.85  | | | | | | | | | | | | | |   (18910)  $false
% 183.91/28.85  | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | CLOSE: (18910) is inconsistent.
% 183.91/28.85  | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | |   (18911)   ~ (all_54_2 = e2)
% 183.91/28.85  | | | | | | | | | | | | | |   (18912)  all_54_2 = e1 | all_54_2 = e0
% 183.91/28.85  | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | BETA: splitting (18912) gives:
% 183.91/28.85  | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | |   (18913)  all_54_2 = e1
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | COMBINE_EQS: (286), (18913) imply:
% 183.91/28.85  | | | | | | | | | | | | | | |   (18914)  all_52_8 = e1
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | REDUCE: (123), (18914) imply:
% 183.91/28.85  | | | | | | | | | | | | | | |   (18915)   ~ (all_52_9 = e1)
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | SIMP: (18915) implies:
% 183.91/28.85  | | | | | | | | | | | | | | |   (18916)   ~ (all_52_9 = e1)
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | REDUCE: (121), (18914) imply:
% 183.91/28.85  | | | | | | | | | | | | | | |   (18917)   ~ (all_52_11 = e1)
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | SIMP: (18917) implies:
% 183.91/28.85  | | | | | | | | | | | | | | |   (18918)   ~ (all_52_11 = e1)
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | REDUCE: (120), (18914) imply:
% 183.91/28.85  | | | | | | | | | | | | | | |   (18919)   ~ (all_52_12 = e1)
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | SIMP: (18919) implies:
% 183.91/28.85  | | | | | | | | | | | | | | |   (18920)   ~ (all_52_12 = e1)
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | REDUCE: (18739), (18914) imply:
% 183.91/28.85  | | | | | | | | | | | | | | |   (18921)   ~ (e2 = e1)
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | |   (18922)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 183.91/28.85  | | | | | | | | | | | | | | | |              & op(e2, e3) = e3)
% 183.91/28.85  | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | BETA: splitting (18922) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | |   (18923)  all_56_0 = e3 & op(e3, e3) = e3
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16590), (18923) are inconsistent by
% 183.91/28.85  | | | | | | | | | | | | | | | | |            sub-proof #375.
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | |   (18924)  all_56_2 = e3 & op(e2, e3) = e3
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | ALPHA: (18924) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | |   (18925)  op(e2, e3) = e3
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (18703), (18925), (function-axioms) are
% 183.91/28.85  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #286.
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | |   (18926)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 183.91/28.85  | | | | | | | | | | | | | | | |              e3 & op(e0, e3) = e3)
% 183.91/28.85  | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | BETA: splitting (18926) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | |   (18927)  all_56_6 = e3 & op(e1, e3) = e3
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | ALPHA: (18927) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | |   (18928)  op(e1, e3) = e3
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (18900), (18928), (function-axioms) are
% 183.91/28.85  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #855.
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | |   (18929)  all_56_12 = e3 & op(e0, e3) = e3
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | ALPHA: (18929) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | |   (18930)  op(e0, e3) = e3
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | |   (18931)  all_54_3 = e3
% 183.91/28.85  | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (285), (18931) imply:
% 183.91/28.85  | | | | | | | | | | | | | | | | | |   (18932)  all_52_12 = e3
% 183.91/28.85  | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | REDUCE: (383), (18932) imply:
% 183.91/28.85  | | | | | | | | | | | | | | | | | |   (18933)   ~ (all_6_2 = e3)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | SIMP: (18933) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | | |   (18934)   ~ (all_6_2 = e3)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | REDUCE: (168), (18932) imply:
% 183.91/28.85  | | | | | | | | | | | | | | | | | |   (18935)  op(e3, e0) = e3
% 183.91/28.85  | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | |   (18936)  all_54_15 = e3
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (18934), (18936) are inconsistent by
% 183.91/28.85  | | | | | | | | | | | | | | | | | | |            sub-proof #1608.
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | |   (18937)   ~ (all_54_15 = e3)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | |   (18938)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | |   (18939)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e2) = e2)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (39), (157), (159), (207), (16592),
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | |            (18918), (18930), (18939), (function-axioms) are
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #262.
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | |   (18940)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | BETA: splitting (18940) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | |   (18941)  all_56_14 = e2 & op(e0, e1) = e2
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | ALPHA: (18941) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | |   (18942)  op(e0, e1) = e2
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18938) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |   (18943)  all_54_15 = e2
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (16594), (18943) are inconsistent by
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1607.
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |   (18944)   ~ (all_54_15 = e2)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | |   (18945)  all_54_15 = e1 | all_54_15 = e0
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18945) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | |   (18946)  all_54_15 = e1
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (16592), (18946) are inconsistent by
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1606.
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | |   (18947)  all_54_15 = e0
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (18947) imply:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | |   (18948)  all_6_2 = e0
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18948) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | |   (18949)  all_6_2 = e0
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (18949) imply:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | |   (18950)   ~ (all_52_7 = e0)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (18949) imply:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | |   (18951)   ~ (all_52_13 = e0)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (18949) imply:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | |   (18952)   ~ (all_52_14 = e0)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18934), (18949) imply:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | |   (18953)   ~ (e3 = e0)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16594), (18949) imply:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | |   (18954)   ~ (e2 = e0)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | |   (18955)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (16582), (18707), (18955),
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | |            #10.
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | |   (18956)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18956) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (18957)  all_56_5 = e0 & op(e2, e1) = e0
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18957) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | |   (18958)  op(e2, e1) = e0
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18959)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18959) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18960)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (18703), (18901), (18960),
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #280.
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18961)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16591), (18707), (18961), (function-axioms) are
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #9.
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |   (18962)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18962) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18963)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18963) gives:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18964)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18964) implies:
% 183.91/28.85  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18965)  op(e2, e1) = e2
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18958), (18965), (function-axioms) are
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #272.
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18966)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_20) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18966) implies:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18967)  op(e0, e2) = e2
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (39), (157), (159), (207), (16592),
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18918), (18930), (18967), (function-axioms) are
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #275.
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18968)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18968) gives:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18969)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18969) implies:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18970)   ~ (all_57_30 = e3)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18971)  op(e1, e1) = all_57_30
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18902), (18970), (18971), (function-axioms) are
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #23.
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18972)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18972) gives:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18973)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18973) implies:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18974)  op(e2, e1) = e1
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (18916), (18974), (function-axioms) are
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1610.
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18975)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18975) implies:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18976)  op(e0, e1) = all_57_27
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18977)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18977) gives:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18978)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18978) implies:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18979)  all_57_27 = e1
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18976), (18979) imply:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18980)  op(e0, e1) = e1
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18942), (18980), (function-axioms) are
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #862.
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18981)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18981) implies:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18982)   ~ (all_57_15 = e0)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18983)  op(e0, e0) = all_57_31
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18984)  op(e0, e2) = all_57_26
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18985)  op(e0, all_57_31) = all_57_15
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (18986)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e0 & op(e1, e0) = e0)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (158), (160), (18935), (18950), (18952),
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18982), (18983), (18984), (18985), (18986),
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1142.
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | |   (18987)  all_56_10 = e0 & op(e2, e0) = e0
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18987) implies:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | |   (18988)  op(e2, e0) = e0
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (18951), (18988), (function-axioms) are
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1504.
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | |   (18989)  all_56_15 = e2 & op(e0, e0) = e2
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | ALPHA: (18989) implies:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | |   (18990)  op(e0, e0) = e2
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16594), (18990), (function-axioms) are
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1511.
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | |   (18991)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 183.91/28.86  | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | REF_CLOSE: (285), (16587), (18740), (18920), (18991) are
% 183.91/28.86  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #826.
% 183.91/28.86  | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | |   (18992)  all_54_2 = e0
% 183.91/28.86  | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | COMBINE_EQS: (286), (18992) imply:
% 183.91/28.86  | | | | | | | | | | | | | | |   (18993)  all_52_8 = e0
% 183.91/28.86  | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | REDUCE: (16586), (18993) imply:
% 183.91/28.86  | | | | | | | | | | | | | | |   (18994)  $false
% 183.91/28.86  | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | CLOSE: (18994) is inconsistent.
% 183.91/28.86  | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | |   (18995)  all_54_1 = e1 | all_54_1 = e0
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | REF_CLOSE: (18717), (18720), (18730), (18995) are
% 183.91/28.86  | | | | | | | | | | |            inconsistent by sub-proof #8.
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | 
% 183.91/28.86  | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | 
% 183.91/28.86  | | | | | | | End of split
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | End of split
% 183.91/28.86  | | | | | | 
% 183.91/28.86  | | | | | Case 2:
% 183.91/28.86  | | | | | | 
% 183.91/28.86  | | | | | |   (18996)  all_8_2 = e2
% 183.91/28.86  | | | | | |   (18997)  ( ~ (all_8_0 = e3) & op(e2, e2) = all_8_0 & $i(all_8_0))
% 183.91/28.86  | | | | | |            | ( ~ (all_8_1 = e1) & op(e2, e0) = all_8_1 &
% 183.91/28.86  | | | | | |              $i(all_8_1))
% 183.91/28.86  | | | | | | 
% 183.91/28.86  | | | | | | COMBINE_EQS: (340), (18996) imply:
% 183.91/28.86  | | | | | |   (18998)  all_6_2 = e2
% 183.91/28.86  | | | | | | 
% 183.91/28.86  | | | | | | SIMP: (18998) implies:
% 183.91/28.86  | | | | | |   (18999)  all_6_2 = e2
% 183.91/28.86  | | | | | | 
% 183.91/28.86  | | | | | | REDUCE: (364), (18999) imply:
% 183.91/28.86  | | | | | |   (19000)   ~ (all_52_3 = e2)
% 183.91/28.86  | | | | | | 
% 183.91/28.86  | | | | | | REDUCE: (375), (18999) imply:
% 183.91/28.86  | | | | | |   (19001)   ~ (all_52_7 = e2)
% 183.91/28.86  | | | | | | 
% 183.91/28.86  | | | | | | REDUCE: (382), (18999) imply:
% 183.91/28.86  | | | | | |   (19002)   ~ (all_52_11 = e2)
% 183.91/28.86  | | | | | | 
% 183.91/28.86  | | | | | | REDUCE: (384), (18999) imply:
% 183.91/28.86  | | | | | |   (19003)   ~ (all_52_13 = e2)
% 183.91/28.86  | | | | | | 
% 183.91/28.86  | | | | | | REDUCE: (385), (18999) imply:
% 183.91/28.86  | | | | | |   (19004)   ~ (all_52_14 = e2)
% 183.91/28.86  | | | | | | 
% 183.91/28.86  | | | | | | REDUCE: (39), (18999) imply:
% 183.91/28.86  | | | | | |   (19005)  op(e0, e0) = e2
% 183.91/28.86  | | | | | | 
% 183.91/28.86  | | | | | | BETA: splitting (16580) gives:
% 183.91/28.86  | | | | | | 
% 183.91/28.86  | | | | | | Case 1:
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | |   (19006)   ~ (all_4_0 = e2) & op(e0, e0) = all_4_0 & $i(all_4_0)
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | | ALPHA: (19006) implies:
% 183.91/28.86  | | | | | | |   (19007)   ~ (all_4_0 = e2)
% 183.91/28.86  | | | | | | |   (19008)  op(e0, e0) = all_4_0
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_4_0, e0,
% 183.91/28.86  | | | | | | |              e0, simplifying with (19005), (19008) gives:
% 183.91/28.86  | | | | | | |   (19009)  all_4_0 = e2
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | | REDUCE: (19007), (19009) imply:
% 183.91/28.86  | | | | | | |   (19010)  $false
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | | CLOSE: (19010) is inconsistent.
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | Case 2:
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | |   (19011)   ~ (all_4_1 = e1) & op(e0, e3) = all_4_1 & $i(all_4_1)
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | | ALPHA: (19011) implies:
% 183.91/28.86  | | | | | | |   (19012)   ~ (all_4_1 = e1)
% 183.91/28.86  | | | | | | |   (19013)  op(e0, e3) = all_4_1
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 183.91/28.86  | | | | | | |              all_4_1, e3, e0, simplifying with (159), (19013)
% 183.91/28.86  | | | | | | |              gives:
% 183.91/28.86  | | | | | | |   (19014)  all_52_3 = all_4_1
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | | COMBINE_EQS: (264), (19014) imply:
% 183.91/28.86  | | | | | | |   (19015)  all_54_12 = all_4_1
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | | REDUCE: (148), (19014) imply:
% 183.91/28.86  | | | | | | |   (19016)   ~ (all_52_1 = all_4_1)
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | | REDUCE: (144), (19014) imply:
% 183.91/28.86  | | | | | | |   (19017)   ~ (all_52_2 = all_4_1)
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | | REDUCE: (140), (19014) imply:
% 183.91/28.86  | | | | | | |   (19018)   ~ (all_52_7 = all_4_1)
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | | SIMP: (19018) implies:
% 183.91/28.86  | | | | | | |   (19019)   ~ (all_52_7 = all_4_1)
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | | REDUCE: (139), (19014) imply:
% 183.91/28.86  | | | | | | |   (19020)   ~ (all_52_11 = all_4_1)
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | | SIMP: (19020) implies:
% 183.91/28.86  | | | | | | |   (19021)   ~ (all_52_11 = all_4_1)
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | | REDUCE: (19000), (19014) imply:
% 183.91/28.86  | | | | | | |   (19022)   ~ (all_4_1 = e2)
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | | REDUCE: (16584), (19014) imply:
% 183.91/28.86  | | | | | | |   (19023)   ~ (all_4_1 = e0)
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | | BETA: splitting (192) gives:
% 183.91/28.86  | | | | | | | 
% 183.91/28.86  | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | 
% 183.91/28.86  | | | | | | | |   (19024)  all_54_12 = e3
% 183.91/28.86  | | | | | | | | 
% 183.91/28.86  | | | | | | | | COMBINE_EQS: (19015), (19024) imply:
% 183.91/28.86  | | | | | | | |   (19025)  all_4_1 = e3
% 183.91/28.86  | | | | | | | | 
% 183.91/28.86  | | | | | | | | SIMP: (19025) implies:
% 183.91/28.86  | | | | | | | |   (19026)  all_4_1 = e3
% 183.91/28.86  | | | | | | | | 
% 183.91/28.86  | | | | | | | | REDUCE: (19016), (19026) imply:
% 183.91/28.86  | | | | | | | |   (19027)   ~ (all_52_1 = e3)
% 183.91/28.86  | | | | | | | | 
% 183.91/28.86  | | | | | | | | REDUCE: (19017), (19026) imply:
% 183.91/28.86  | | | | | | | |   (19028)   ~ (all_52_2 = e3)
% 183.91/28.86  | | | | | | | | 
% 183.91/28.86  | | | | | | | | REDUCE: (19019), (19026) imply:
% 183.91/28.86  | | | | | | | |   (19029)   ~ (all_52_7 = e3)
% 183.91/28.86  | | | | | | | | 
% 183.91/28.86  | | | | | | | | REDUCE: (19021), (19026) imply:
% 183.91/28.86  | | | | | | | |   (19030)   ~ (all_52_11 = e3)
% 183.91/28.86  | | | | | | | | 
% 183.91/28.86  | | | | | | | | REDUCE: (19013), (19026) imply:
% 183.91/28.86  | | | | | | | |   (19031)  op(e0, e3) = e3
% 183.91/28.86  | | | | | | | | 
% 183.91/28.86  | | | | | | | | BETA: splitting (46) gives:
% 183.91/28.86  | | | | | | | | 
% 183.91/28.86  | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | 
% 183.91/28.86  | | | | | | | | |   (19032)   ~ (all_10_2 = e3)
% 183.91/28.86  | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | BETA: splitting (49) gives:
% 183.91/28.86  | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | |   (19033)   ~ (all_12_2 = e0)
% 183.91/28.86  | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | REDUCE: (335), (19033) imply:
% 183.91/28.86  | | | | | | | | | |   (19034)   ~ (all_10_2 = e0)
% 183.91/28.86  | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | BETA: splitting (55) gives:
% 183.91/28.86  | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | |   (19035)   ~ (all_16_2 = e3)
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | REDUCE: (338), (19035) imply:
% 183.91/28.86  | | | | | | | | | | |   (19036)   ~ (all_14_2 = e3)
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | BETA: splitting (251) gives:
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | |   (19037)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.91/28.86  | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.91/28.86  | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | REF_CLOSE: (7), (45), (16591), (19032), (19037),
% 183.91/28.86  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.91/28.86  | | | | | | | | | | | |            #7.
% 183.91/28.86  | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | |   (19038)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.91/28.86  | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 183.91/28.86  | | | | | | | | | | | |              op(e0, e3) = all_57_25 & $i(all_57_25))
% 183.91/28.86  | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | BETA: splitting (19038) gives:
% 183.91/28.86  | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | |   (19039)  all_57_30 = e3 & op(e1, e1) = e3
% 183.91/28.86  | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | ALPHA: (19039) implies:
% 183.91/28.86  | | | | | | | | | | | | |   (19040)  op(e1, e1) = e3
% 183.91/28.86  | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | REF_CLOSE: (51), (19036), (19040), (function-axioms) are
% 183.91/28.86  | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 183.91/28.86  | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | |   (19041)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.91/28.86  | | | | | | | | | | | | |              (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 183.91/28.86  | | | | | | | | | | | | |              $i(all_57_25))
% 183.91/28.86  | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | BETA: splitting (19041) gives:
% 183.91/28.86  | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | |   (19042)  all_57_31 = e3 & op(e0, e0) = e3
% 183.91/28.86  | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | ALPHA: (19042) implies:
% 183.91/28.86  | | | | | | | | | | | | | |   (19043)  op(e0, e0) = e3
% 183.91/28.86  | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | REF_CLOSE: (9), (19005), (19043), (function-axioms) are
% 183.91/28.86  | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 183.91/28.86  | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | |   (19044)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 183.91/28.86  | | | | | | | | | | | | | |            $i(all_57_25)
% 183.91/28.86  | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | ALPHA: (19044) implies:
% 183.91/28.86  | | | | | | | | | | | | | |   (19045)  op(e0, e3) = all_57_25
% 183.91/28.86  | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 183.91/28.86  | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | |   (19046)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.91/28.86  | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.91/28.86  | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | REF_CLOSE: (7), (45), (16591), (19032), (19046),
% 183.91/28.86  | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.91/28.86  | | | | | | | | | | | | | | |            #7.
% 183.91/28.86  | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | |   (19047)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.91/28.86  | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 183.91/28.86  | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & $i(all_57_19))
% 183.91/28.86  | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | BETA: splitting (19047) gives:
% 183.91/28.86  | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | |   (19048)  all_57_30 = e3 & op(e1, e1) = e3
% 183.91/28.86  | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | ALPHA: (19048) implies:
% 183.91/28.86  | | | | | | | | | | | | | | | |   (19049)  op(e1, e1) = e3
% 183.91/28.86  | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | REF_CLOSE: (51), (19036), (19049), (function-axioms) are
% 183.91/28.86  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 183.91/28.86  | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | |   (19050)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.91/28.86  | | | | | | | | | | | | | | | |              (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 183.91/28.86  | | | | | | | | | | | | | | | |              $i(all_57_19))
% 183.91/28.86  | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | BETA: splitting (19050) gives:
% 183.91/28.86  | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | |   (19051)  all_57_31 = e3 & op(e0, e0) = e3
% 183.91/28.86  | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | ALPHA: (19051) implies:
% 183.91/28.86  | | | | | | | | | | | | | | | | |   (19052)  op(e0, e0) = e3
% 183.91/28.86  | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19005), (19052), (function-axioms) are
% 183.91/28.86  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 183.91/28.86  | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | |   (19053)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 183.91/28.86  | | | | | | | | | | | | | | | | |            $i(all_57_19)
% 183.91/28.86  | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | ALPHA: (19053) implies:
% 183.91/28.86  | | | | | | | | | | | | | | | | |   (19054)   ~ (all_57_19 = e2)
% 183.91/28.86  | | | | | | | | | | | | | | | | |   (19055)  op(e2, e3) = all_57_19
% 183.91/28.86  | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 183.91/28.86  | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | |   (19056)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.91/28.86  | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (45), (16591), (19032), (19056),
% 183.91/28.86  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.91/28.86  | | | | | | | | | | | | | | | | | |            #7.
% 183.91/28.86  | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | |   (19057)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.91/28.86  | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & $i(all_57_28))
% 183.91/28.86  | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | BETA: splitting (19057) gives:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | |   (19058)  all_57_30 = e3 & op(e1, e1) = e3
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | ALPHA: (19058) implies:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | |   (19059)  op(e1, e1) = e3
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (19036), (19059), (function-axioms) are
% 183.91/28.86  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | |   (19060)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.91/28.86  | | | | | | | | | | | | | | | | | | |              (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | |              $i(all_57_28))
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | BETA: splitting (19060) gives:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | |   (19061)  all_57_31 = e3 & op(e0, e0) = e3
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | ALPHA: (19061) implies:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | |   (19062)  op(e0, e0) = e3
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19005), (19062), (function-axioms) are
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | |   (19063)   ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | ALPHA: (19063) implies:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | |   (19064)   ~ (all_57_28 = e3)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | |   (19065)  op(e3, e3) = all_57_28
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | |   (19066)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (19032), (19064), (19065), (19066),
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | |            #89.
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | |   (19067)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_22 & $i(all_57_22))
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19067) gives:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | |   (19068)  all_57_30 = e3 & op(e1, e1) = e3
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19068) implies:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | |   (19069)  op(e1, e1) = e3
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (19036), (19069), (function-axioms) are
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | |   (19070)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | |              (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22))
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19070) gives:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | |   (19071)  all_57_31 = e3 & op(e0, e0) = e3
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19071) implies:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | |   (19072)  op(e0, e0) = e3
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19005), (19072), (function-axioms) are
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #221.
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | |   (19073)   ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19073) implies:
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | |   (19074)   ~ (all_57_22 = e1)
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | |   (19075)  op(e1, e3) = all_57_22
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (51), (125), (126), (128), (135), (141),
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | |            (146), (149), (157), (158), (160), (162), (163),
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | |            (165), (167), (170), (191), (196), (199), (200),
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (225), (226), (228), (254), (263),
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | |            (274), (283), (284), (362), (363), (369), (371),
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | |            (16582), (16583), (16591), (19027), (19028),
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | |            (19029), (19030), (19031), (19032), (19034),
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | |            (19036), (19045), (19054), (19055), (19065),
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | |            (19074), (19075), (function-axioms) are
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #6.
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | |   (19076)  all_16_2 = e3
% 183.91/28.86  | | | | | | | | | | |   (19077)  ( ~ (all_16_0 = e0) & op(e3, e3) = all_16_0 &
% 183.91/28.86  | | | | | | | | | | |              $i(all_16_0)) | ( ~ (all_16_1 = e2) & op(e3, e1)
% 183.91/28.86  | | | | | | | | | | |              = all_16_1 & $i(all_16_1))
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | COMBINE_EQS: (338), (19076) imply:
% 183.91/28.86  | | | | | | | | | | |   (19078)  all_14_2 = e3
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | REDUCE: (376), (19078) imply:
% 183.91/28.86  | | | | | | | | | | |   (19079)   ~ (all_52_8 = e3)
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | REDUCE: (377), (19078) imply:
% 183.91/28.86  | | | | | | | | | | |   (19080)   ~ (all_52_9 = e3)
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | REDUCE: (51), (19078) imply:
% 183.91/28.86  | | | | | | | | | | |   (19081)  op(e1, e1) = e3
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (39), (45), (73), (100), (117),
% 183.91/28.86  | | | | | | | | | | |            (118), (121), (123), (125), (134), (157), (158),
% 183.91/28.86  | | | | | | | | | | |            (159), (162), (163), (164), (165), (169), (170),
% 183.91/28.86  | | | | | | | | | | |            (190), (198), (199), (202), (203), (207), (213),
% 183.91/28.86  | | | | | | | | | | |            (214), (233), (234), (235), (243), (254), (262),
% 183.91/28.86  | | | | | | | | | | |            (276), (283), (286), (287), (313), (329), (365),
% 183.91/28.86  | | | | | | | | | | |            (367), (369), (371), (16583), (16585), (16586),
% 183.91/28.86  | | | | | | | | | | |            (16591), (16592), (19028), (19030), (19032),
% 183.91/28.86  | | | | | | | | | | |            (19034), (19077), (19079), (19080), (19081),
% 183.91/28.86  | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.91/28.86  | | | | | | | | | | |            #22.
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | End of split
% 183.91/28.86  | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | |   (19082)  all_12_2 = e0
% 183.91/28.86  | | | | | | | | | |   (19083)  ( ~ (all_12_0 = e3) & op(e0, e0) = all_12_0 &
% 183.91/28.86  | | | | | | | | | |              $i(all_12_0)) | ( ~ (all_12_1 = e1) & op(e0, e2)
% 183.91/28.86  | | | | | | | | | |              = all_12_1 & $i(all_12_1))
% 183.91/28.86  | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | COMBINE_EQS: (335), (19082) imply:
% 183.91/28.86  | | | | | | | | | |   (19084)  all_10_2 = e0
% 183.91/28.86  | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | SIMP: (19084) implies:
% 183.91/28.86  | | | | | | | | | |   (19085)  all_10_2 = e0
% 183.91/28.86  | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | REDUCE: (369), (19085) imply:
% 183.91/28.86  | | | | | | | | | |   (19086)   ~ (all_52_7 = e0)
% 183.91/28.86  | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | REDUCE: (373), (19085) imply:
% 183.91/28.86  | | | | | | | | | |   (19087)   ~ (all_52_13 = e0)
% 183.91/28.86  | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | REDUCE: (45), (19085) imply:
% 183.91/28.86  | | | | | | | | | |   (19088)  op(e2, e2) = e0
% 183.91/28.86  | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | BETA: splitting (206) gives:
% 183.91/28.86  | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | |   (19089)  all_56_15 = e0 & op(e0, e0) = e0
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | ALPHA: (19089) implies:
% 183.91/28.86  | | | | | | | | | | |   (19090)  op(e0, e0) = e0
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | REF_CLOSE: (5), (19005), (19090), (function-axioms) are
% 183.91/28.86  | | | | | | | | | | |            inconsistent by sub-proof #228.
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | |   (19091)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 183.91/28.86  | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 183.91/28.86  | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 183.91/28.86  | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 183.91/28.86  | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | ALPHA: (19091) implies:
% 183.91/28.86  | | | | | | | | | | |   (19092)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 183.91/28.86  | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 183.91/28.86  | | | | | | | | | | |                e0) = e0)
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | BETA: splitting (191) gives:
% 183.91/28.86  | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | |   (19093)  all_54_13 = e3
% 183.91/28.86  | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | REF_CLOSE: (263), (19029), (19093) are inconsistent by
% 183.91/28.86  | | | | | | | | | | | |            sub-proof #1302.
% 183.91/28.86  | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | |   (19094)   ~ (all_54_13 = e3)
% 183.91/28.86  | | | | | | | | | | | |   (19095)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 183.91/28.86  | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | BETA: splitting (19095) gives:
% 183.91/28.86  | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | |   (19096)  all_54_13 = e2
% 183.91/28.86  | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | REF_CLOSE: (263), (19001), (19096) are inconsistent by
% 183.91/28.86  | | | | | | | | | | | | |            sub-proof #1185.
% 183.91/28.86  | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | |   (19097)   ~ (all_54_13 = e2)
% 183.91/28.86  | | | | | | | | | | | | |   (19098)  all_54_13 = e1 | all_54_13 = e0
% 183.91/28.86  | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | BETA: splitting (19092) gives:
% 183.91/28.86  | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | |   (19099)  all_56_9 = e0 & op(e3, e0) = e0
% 183.91/28.86  | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | ALPHA: (19099) implies:
% 183.91/28.86  | | | | | | | | | | | | | |   (19100)  op(e3, e0) = e0
% 183.91/28.86  | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | REF_CLOSE: (168), (16587), (19100), (function-axioms) are
% 183.91/28.86  | | | | | | | | | | | | | |            inconsistent by sub-proof #39.
% 183.91/28.86  | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | Case 2:
% 183.91/28.86  | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | |   (19101)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 183.91/28.86  | | | | | | | | | | | | | |              e0 & op(e1, e0) = e0)
% 183.91/28.86  | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | BETA: splitting (19101) gives:
% 183.91/28.86  | | | | | | | | | | | | | | 
% 183.91/28.86  | | | | | | | | | | | | | | Case 1:
% 183.91/28.86  | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | |   (19102)  all_56_10 = e0 & op(e2, e0) = e0
% 183.91/28.87  | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | ALPHA: (19102) implies:
% 183.91/28.87  | | | | | | | | | | | | | | |   (19103)  op(e2, e0) = e0
% 183.91/28.87  | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | REF_CLOSE: (164), (19087), (19103), (function-axioms) are
% 183.91/28.87  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1504.
% 183.91/28.87  | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | |   (19104)  all_56_11 = e0 & op(e1, e0) = e0
% 183.91/28.87  | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | ALPHA: (19104) implies:
% 183.91/28.87  | | | | | | | | | | | | | | |   (19105)  op(e1, e0) = e0
% 183.91/28.87  | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | BETA: splitting (19098) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | |   (19106)  all_54_13 = e1
% 183.91/28.87  | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | COMBINE_EQS: (263), (19106) imply:
% 183.91/28.87  | | | | | | | | | | | | | | | |   (19107)  all_52_7 = e1
% 183.91/28.87  | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | SIMP: (19107) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | |   (19108)  all_52_7 = e1
% 183.91/28.87  | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | REDUCE: (128), (19108) imply:
% 183.91/28.87  | | | | | | | | | | | | | | | |   (19109)   ~ (all_52_6 = e1)
% 183.91/28.87  | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | REDUCE: (125), (19108) imply:
% 183.91/28.87  | | | | | | | | | | | | | | | |   (19110)   ~ (all_52_11 = e1)
% 183.91/28.87  | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | SIMP: (19110) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | |   (19111)   ~ (all_52_11 = e1)
% 183.91/28.87  | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | REDUCE: (19029), (19108) imply:
% 183.91/28.87  | | | | | | | | | | | | | | | |   (19112)   ~ (e3 = e1)
% 183.91/28.87  | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | REDUCE: (19001), (19108) imply:
% 183.91/28.87  | | | | | | | | | | | | | | | |   (19113)   ~ (e2 = e1)
% 183.91/28.87  | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | REDUCE: (158), (19108) imply:
% 183.91/28.87  | | | | | | | | | | | | | | | |   (19114)  op(e0, e2) = e1
% 183.91/28.87  | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | BETA: splitting (19083) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | |   (19115)   ~ (all_12_0 = e3) & op(e0, e0) = all_12_0 &
% 183.91/28.87  | | | | | | | | | | | | | | | | |            $i(all_12_0)
% 183.91/28.87  | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | ALPHA: (19115) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | |   (19116)   ~ (all_12_0 = e3)
% 183.91/28.87  | | | | | | | | | | | | | | | | |   (19117)  op(e0, e0) = all_12_0
% 183.91/28.87  | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | |   (19118)  all_54_14 = e3
% 183.91/28.87  | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (19030), (19118) are inconsistent by
% 183.91/28.87  | | | | | | | | | | | | | | | | | |            sub-proof #1259.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | |   (19119)   ~ (all_54_14 = e3)
% 183.91/28.87  | | | | | | | | | | | | | | | | | |   (19120)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 183.91/28.87  | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | BETA: splitting (19120) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | |   (19121)  all_54_14 = e2
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (19002), (19121) are inconsistent by
% 183.91/28.87  | | | | | | | | | | | | | | | | | | |            sub-proof #1234.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | |   (19122)  all_54_14 = e1 | all_54_14 = e0
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | BETA: splitting (19122) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | |   (19123)  all_54_14 = e1
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (262), (19111), (19123) are inconsistent by
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | |            sub-proof #1307.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | |   (19124)  all_54_14 = e0
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (262), (19124) imply:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | |   (19125)  all_52_11 = e0
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | SIMP: (19125) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | |   (19126)  all_52_11 = e0
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | REDUCE: (379), (19126) imply:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | |   (19127)   ~ (all_14_2 = e0)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | SIMP: (19127) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | |   (19128)   ~ (all_14_2 = e0)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | REDUCE: (19030), (19126) imply:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | |   (19129)   ~ (e3 = e0)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | REDUCE: (19111), (19126) imply:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | |   (19130)   ~ (e1 = e0)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (19126) imply:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | |   (19131)  op(e0, e1) = e0
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | |   (19132)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16591), (19088), (19132), (function-axioms)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #19.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | |   (19133)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = all_57_27 & $i(all_57_27))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19133) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | |   (19134)  all_57_30 = e1 & op(e1, e1) = e1
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19134) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | |   (19135)  op(e1, e1) = e1
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | |   (19136)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16591), (19088), (19136), (function-axioms)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #17.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | |   (19137)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & $i(all_57_19))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19137) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | |   (19138)  all_57_30 = e3 & op(e1, e1) = e3
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19138) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | |   (19139)  op(e1, e1) = e3
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19135), (19139), (function-axioms) are
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | |   (19140)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19140) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (19141)  all_57_31 = e3 & op(e0, e0) = e3
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19141) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (19142)  op(e0, e0) = e3
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19116), (19117), (19142), (function-axioms) are
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #545.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (19143)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19143) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (19144)   ~ (all_57_19 = e2)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | |   (19145)  op(e2, e3) = all_57_19
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19146)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16591), (19088), (19146), (function-axioms)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #17.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19147)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & $i(all_57_25))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19147) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19148)  all_57_30 = e3 & op(e1, e1) = e3
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19148) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19149)  op(e1, e1) = e3
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19135), (19149), (function-axioms) are
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19150)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_25))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19150) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19151)  all_57_31 = e3 & op(e0, e0) = e3
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19151) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19152)  op(e0, e0) = e3
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19116), (19117), (19152), (function-axioms) are
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #545.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19153)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_25)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19153) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19154)  op(e0, e3) = all_57_25
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19155)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16591), (19088), (19155), (function-axioms)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #17.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19156)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & $i(all_57_28))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19156) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19157)  all_57_30 = e3 & op(e1, e1) = e3
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19157) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19158)  op(e1, e1) = e3
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19135), (19158), (function-axioms) are
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19159)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19159) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19160)  all_57_31 = e3 & op(e0, e0) = e3
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19160) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19161)  op(e0, e0) = e3
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19116), (19117), (19161), (function-axioms) are
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #545.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19162)   ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19162) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19163)   ~ (all_57_28 = e3)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19164)  op(e3, e3) = all_57_28
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19165)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19088), (19163), (19164), (19165),
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #16.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19166)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_22 & $i(all_57_22))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19166) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19167)  all_57_30 = e3 & op(e1, e1) = e3
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19167) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19168)  op(e1, e1) = e3
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19135), (19168), (function-axioms) are
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1541.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19169)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19169) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19170)  all_57_31 = e3 & op(e0, e0) = e3
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19170) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19171)  op(e0, e0) = e3
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19116), (19117), (19171), (function-axioms) are
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #545.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19172)   ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19172) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19173)   ~ (all_57_22 = e1)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19174)  op(e1, e3) = all_57_22
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19175)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19175) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19176)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (19027), (19028), (19176),
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #5.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19177)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16591), (19144), (19145), (19177),
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #15.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19178)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19178) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19179)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19179) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19180)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19180) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19181)  op(e1, e2) = e2
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e0, e1, simplifying with (160), (19105) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19182)  all_52_14 = e0
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2, e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e1, simplifying with (51), (19135) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19183)  all_14_2 = e1
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e1, simplifying with (162), (19181) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19184)  all_52_6 = e2
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (19184) imply:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19185)   ~ (all_52_2 = e2)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (19183) imply:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19186)   ~ (all_52_2 = e1)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (274), (16583), (19028), (19185), (19186)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #116.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19187)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_20) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19187) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19188)  op(e0, e2) = e2
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (39), (157), (159), (207), (16592),
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19031), (19111), (19188), (function-axioms) are
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #275.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19189)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19189) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19190)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19190) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19191)  op(e1, e3) = e1
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19173), (19174), (19191), (function-axioms) are
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #91.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19192)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19192) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19193)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19193) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19194)  op(e1, e2) = e1
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (19109), (19194), (function-axioms) are
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #834.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19195)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19195) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19196)  op(e0, e1) = all_57_27
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19197)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27, e1, e0, simplifying with (19131),
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (19196) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19198)  all_57_27 = e0
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25, e3, e0, simplifying with (19031),
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (19154) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19199)  all_57_25 = e3
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2, e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e1, simplifying with (51), (19135) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19200)  all_14_2 = e1
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19197) gives:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19201)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19201) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19202)  all_57_27 = e1
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19198), (19202) imply:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19203)  e1 = e0
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19203) implies:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19204)  e1 = e0
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (19204) imply:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19205)  $false
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19205) is inconsistent.
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19206)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.87  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19206) implies:
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19207)   ~ (all_57_12 = e3)
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19208)  op(e0, all_57_25) = all_57_12
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19154), (19199), (19207), (19208),
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #178.
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | |   (19209)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | |              (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_27))
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19005), (19131), (19209), (function-axioms)
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #4.
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | Case 2:
% 183.91/28.88  | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | |   (19210)   ~ (all_12_1 = e1) & op(e0, e2) = all_12_1 &
% 183.91/28.88  | | | | | | | | | | | | | | | | |            $i(all_12_1)
% 183.91/28.88  | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | ALPHA: (19210) implies:
% 183.91/28.88  | | | | | | | | | | | | | | | | |   (19211)   ~ (all_12_1 = e1)
% 183.91/28.88  | | | | | | | | | | | | | | | | |   (19212)  op(e0, e2) = all_12_1
% 183.91/28.88  | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_12_1,
% 183.91/28.88  | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (19114), (19212) gives:
% 183.91/28.88  | | | | | | | | | | | | | | | | |   (19213)  all_12_1 = e1
% 183.91/28.88  | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | REDUCE: (19211), (19213) imply:
% 183.91/28.88  | | | | | | | | | | | | | | | | |   (19214)  $false
% 183.91/28.88  | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | | CLOSE: (19214) is inconsistent.
% 183.91/28.88  | | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | Case 2:
% 183.91/28.88  | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | |   (19215)  all_54_13 = e0
% 183.91/28.88  | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | | REF_CLOSE: (263), (19086), (19215) are inconsistent by
% 183.91/28.88  | | | | | | | | | | | | | | | |            sub-proof #1312.
% 183.91/28.88  | | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | End of split
% 183.91/28.88  | | | | | | | | | 
% 183.91/28.88  | | | | | | | | Case 2:
% 183.91/28.88  | | | | | | | | | 
% 183.91/28.88  | | | | | | | | |   (19216)  all_10_2 = e3
% 183.91/28.88  | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | COMBINE_EQS: (306), (19216) imply:
% 183.91/28.88  | | | | | | | | |   (19217)  all_50_2 = e3
% 183.91/28.88  | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | REDUCE: (365), (19216) imply:
% 183.91/28.88  | | | | | | | | |   (19218)   ~ (all_52_4 = e3)
% 183.91/28.88  | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | REDUCE: (367), (19216) imply:
% 183.91/28.88  | | | | | | | | |   (19219)   ~ (all_52_6 = e3)
% 183.91/28.88  | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | REDUCE: (371), (19216) imply:
% 183.91/28.88  | | | | | | | | |   (19220)   ~ (all_52_9 = e3)
% 183.91/28.88  | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | REDUCE: (373), (19216) imply:
% 183.91/28.88  | | | | | | | | |   (19221)   ~ (all_52_13 = e3)
% 183.91/28.88  | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | REDUCE: (45), (19216) imply:
% 183.91/28.88  | | | | | | | | |   (19222)  op(e2, e2) = e3
% 183.91/28.88  | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | BETA: splitting (18997) gives:
% 183.91/28.88  | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | Case 1:
% 183.91/28.88  | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | |   (19223)   ~ (all_8_0 = e3) & op(e2, e2) = all_8_0 &
% 183.91/28.88  | | | | | | | | | |            $i(all_8_0)
% 183.91/28.88  | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | ALPHA: (19223) implies:
% 183.91/28.88  | | | | | | | | | |   (19224)   ~ (all_8_0 = e3)
% 183.91/28.88  | | | | | | | | | |   (19225)  op(e2, e2) = all_8_0
% 183.91/28.88  | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_0,
% 183.91/28.88  | | | | | | | | | |              e2, e2, simplifying with (19222), (19225) gives:
% 183.91/28.88  | | | | | | | | | |   (19226)  all_8_0 = e3
% 183.91/28.88  | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | REDUCE: (19224), (19226) imply:
% 183.91/28.88  | | | | | | | | | |   (19227)  $false
% 183.91/28.88  | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | CLOSE: (19227) is inconsistent.
% 183.91/28.88  | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | Case 2:
% 183.91/28.88  | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | |   (19228)   ~ (all_8_1 = e1) & op(e2, e0) = all_8_1 &
% 183.91/28.88  | | | | | | | | | |            $i(all_8_1)
% 183.91/28.88  | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | ALPHA: (19228) implies:
% 183.91/28.88  | | | | | | | | | |   (19229)   ~ (all_8_1 = e1)
% 183.91/28.88  | | | | | | | | | |   (19230)  op(e2, e0) = all_8_1
% 183.91/28.88  | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | BETA: splitting (106) gives:
% 183.91/28.88  | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | Case 1:
% 183.91/28.88  | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | |   (19231)   ~ (all_50_2 = e3)
% 183.91/28.88  | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | REDUCE: (19217), (19231) imply:
% 183.91/28.88  | | | | | | | | | | |   (19232)  $false
% 183.91/28.88  | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | CLOSE: (19232) is inconsistent.
% 183.91/28.88  | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | Case 2:
% 183.91/28.88  | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | |   (19233)  ( ~ (all_50_0 = e0) & op(e3, e3) = all_50_0 &
% 183.91/28.88  | | | | | | | | | | |              $i(all_50_0)) | ( ~ (all_50_1 = e1) & op(e3, e2)
% 183.91/28.88  | | | | | | | | | | |              = all_50_1 & $i(all_50_1))
% 183.91/28.88  | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | BETA: splitting (19233) gives:
% 183.91/28.88  | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | Case 1:
% 183.91/28.88  | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | |   (19234)   ~ (all_50_0 = e0) & op(e3, e3) = all_50_0 &
% 183.91/28.88  | | | | | | | | | | | |            $i(all_50_0)
% 183.91/28.88  | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | | REF_CLOSE: (16591), (19234), (function-axioms) are
% 183.91/28.88  | | | | | | | | | | | |            inconsistent by sub-proof #3.
% 183.91/28.88  | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | Case 2:
% 183.91/28.88  | | | | | | | | | | | | 
% 183.91/28.88  | | | | | | | | | | | |   (19235)   ~ (all_50_1 = e1) & op(e3, e2) = all_50_1 &
% 183.91/28.88  | | | | | | | | | | | |            $i(all_50_1)
% 183.94/28.88  | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | ALPHA: (19235) implies:
% 183.94/28.88  | | | | | | | | | | | |   (19236)   ~ (all_50_1 = e1)
% 183.94/28.88  | | | | | | | | | | | |   (19237)  op(e3, e2) = all_50_1
% 183.94/28.88  | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 183.94/28.88  | | | | | | | | | | | |              all_8_1, e0, e2, simplifying with (164), (19230)
% 183.94/28.88  | | | | | | | | | | | |              gives:
% 183.94/28.88  | | | | | | | | | | | |   (19238)  all_52_13 = all_8_1
% 183.94/28.88  | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 183.94/28.88  | | | | | | | | | | | |              all_50_1, e2, e3, simplifying with (170), (19237)
% 183.94/28.88  | | | | | | | | | | | |              gives:
% 183.94/28.88  | | | | | | | | | | | |   (19239)  all_52_4 = all_50_1
% 183.94/28.88  | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | COMBINE_EQS: (275), (19238) imply:
% 183.94/28.88  | | | | | | | | | | | |   (19240)  all_54_7 = all_8_1
% 183.94/28.88  | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | COMBINE_EQS: (287), (19239) imply:
% 183.94/28.88  | | | | | | | | | | | |   (19241)  all_54_1 = all_50_1
% 183.94/28.88  | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | REDUCE: (145), (19238) imply:
% 183.94/28.88  | | | | | | | | | | | |   (19242)   ~ (all_52_1 = all_8_1)
% 183.94/28.88  | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | REDUCE: (136), (19239) imply:
% 183.94/28.88  | | | | | | | | | | | |   (19243)   ~ (all_52_6 = all_50_1)
% 183.94/28.88  | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | SIMP: (19243) implies:
% 183.94/28.88  | | | | | | | | | | | |   (19244)   ~ (all_52_6 = all_50_1)
% 183.94/28.88  | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | REDUCE: (135), (19239) imply:
% 183.94/28.88  | | | | | | | | | | | |   (19245)   ~ (all_52_7 = all_50_1)
% 183.94/28.88  | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | SIMP: (19245) implies:
% 183.94/28.88  | | | | | | | | | | | |   (19246)   ~ (all_52_7 = all_50_1)
% 183.94/28.88  | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | REDUCE: (19218), (19239) imply:
% 183.94/28.88  | | | | | | | | | | | |   (19247)   ~ (all_50_1 = e3)
% 183.94/28.88  | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | REDUCE: (16585), (19239) imply:
% 183.94/28.88  | | | | | | | | | | | |   (19248)   ~ (all_50_1 = e0)
% 183.94/28.88  | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | REDUCE: (117), (19238) imply:
% 183.94/28.88  | | | | | | | | | | | |   (19249)   ~ (all_52_9 = all_8_1)
% 183.94/28.88  | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | REDUCE: (19221), (19238) imply:
% 183.94/28.88  | | | | | | | | | | | |   (19250)   ~ (all_8_1 = e3)
% 183.94/28.88  | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | REDUCE: (19003), (19238) imply:
% 183.94/28.88  | | | | | | | | | | | |   (19251)   ~ (all_8_1 = e2)
% 183.94/28.88  | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | BETA: splitting (203) gives:
% 183.94/28.88  | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | |   (19252)  all_54_1 = e3
% 183.94/28.88  | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | REF_CLOSE: (19241), (19247), (19252) are inconsistent by
% 183.94/28.88  | | | | | | | | | | | | |            sub-proof #13.
% 183.94/28.88  | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | Case 2:
% 183.94/28.88  | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | |   (19253)   ~ (all_54_1 = e3)
% 183.94/28.88  | | | | | | | | | | | | |   (19254)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 183.94/28.88  | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | BETA: splitting (197) gives:
% 183.94/28.88  | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | |   (19255)  all_54_7 = e3
% 183.94/28.88  | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | REF_CLOSE: (19240), (19250), (19255) are inconsistent by
% 183.94/28.88  | | | | | | | | | | | | | |            sub-proof #133.
% 183.94/28.88  | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | Case 2:
% 183.94/28.88  | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | |   (19256)   ~ (all_54_7 = e3)
% 183.94/28.88  | | | | | | | | | | | | | |   (19257)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 183.94/28.88  | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | BETA: splitting (19254) gives:
% 183.94/28.88  | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | |   (19258)  all_54_1 = e2
% 183.94/28.88  | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | COMBINE_EQS: (19241), (19258) imply:
% 183.94/28.88  | | | | | | | | | | | | | | |   (19259)  all_50_1 = e2
% 183.94/28.88  | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | SIMP: (19259) implies:
% 183.94/28.88  | | | | | | | | | | | | | | |   (19260)  all_50_1 = e2
% 183.94/28.88  | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | REDUCE: (19244), (19260) imply:
% 183.94/28.88  | | | | | | | | | | | | | | |   (19261)   ~ (all_52_6 = e2)
% 183.94/28.88  | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | REDUCE: (19247), (19260) imply:
% 183.94/28.88  | | | | | | | | | | | | | | |   (19262)   ~ (e3 = e2)
% 183.94/28.88  | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | REDUCE: (19237), (19260) imply:
% 183.94/28.88  | | | | | | | | | | | | | | |   (19263)  op(e3, e2) = e2
% 183.94/28.88  | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | BETA: splitting (19257) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | |   (19264)  all_54_7 = e2
% 183.94/28.88  | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | REF_CLOSE: (19240), (19251), (19264) are inconsistent by
% 183.94/28.88  | | | | | | | | | | | | | | | |            sub-proof #132.
% 183.94/28.88  | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | Case 2:
% 183.94/28.88  | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | |   (19265)   ~ (all_54_7 = e2)
% 183.94/28.88  | | | | | | | | | | | | | | | |   (19266)  all_54_7 = e1 | all_54_7 = e0
% 183.94/28.88  | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | BETA: splitting (19266) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | |   (19267)  all_54_7 = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | REF_CLOSE: (19229), (19240), (19267) are inconsistent by
% 183.94/28.88  | | | | | | | | | | | | | | | | |            sub-proof #131.
% 183.94/28.88  | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.88  | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | |   (19268)  all_54_7 = e0
% 183.94/28.88  | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | COMBINE_EQS: (19240), (19268) imply:
% 183.94/28.88  | | | | | | | | | | | | | | | | |   (19269)  all_8_1 = e0
% 183.94/28.88  | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | SIMP: (19269) implies:
% 183.94/28.88  | | | | | | | | | | | | | | | | |   (19270)  all_8_1 = e0
% 183.94/28.88  | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | REDUCE: (19249), (19270) imply:
% 183.94/28.88  | | | | | | | | | | | | | | | | |   (19271)   ~ (all_52_9 = e0)
% 183.94/28.88  | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | REDUCE: (19250), (19270) imply:
% 183.94/28.88  | | | | | | | | | | | | | | | | |   (19272)   ~ (e3 = e0)
% 183.94/28.88  | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | REDUCE: (19251), (19270) imply:
% 183.94/28.88  | | | | | | | | | | | | | | | | |   (19273)   ~ (e2 = e0)
% 183.94/28.88  | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | REDUCE: (19229), (19270) imply:
% 183.94/28.88  | | | | | | | | | | | | | | | | |   (19274)   ~ (e1 = e0)
% 183.94/28.88  | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | |   (19275)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 183.94/28.88  | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (16582), (19222), (19275),
% 183.94/28.88  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.88  | | | | | | | | | | | | | | | | | |            #10.
% 183.94/28.88  | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | |   (19276)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 183.94/28.88  | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | BETA: splitting (19276) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | |   (19277)  all_56_5 = e0 & op(e2, e1) = e0
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (19271), (19277), (function-axioms) are
% 183.94/28.88  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1476.
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | |   (19278)  all_56_10 = e0 & op(e2, e0) = e0
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | ALPHA: (19278) implies:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | |   (19279)  all_56_10 = e0
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | |   (19280)   ~ (all_14_2 = e2)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | |   (19281)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | |              & op(e1, e2) = e2)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19281) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | |   (19282)  all_56_6 = e2 & op(e1, e3) = e2
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19282) implies:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | |   (19283)  all_56_6 = e2
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | |   (19284)  op(e1, e3) = e2
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | |   (19285)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19285) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | |   (19286)  all_56_4 = e2 & op(e3, e1) = e2
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19286) implies:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | |   (19287)  all_56_4 = e2
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (19288)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19288) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19289)  all_56_0 = e1 & op(e3, e3) = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16590), (19289) are inconsistent by
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #294.
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19290)  all_56_1 = e1 & op(e3, e2) = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19290) implies:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19291)  op(e3, e2) = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19263), (19291), (function-axioms) are
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1424.
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (19292)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19292) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19293)  all_56_4 = e1 & op(e3, e1) = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19293) implies:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19294)  all_56_4 = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19287), (19294) are inconsistent by
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #877.
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19295)  all_56_9 = e1 & op(e3, e0) = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19295) implies:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19296)  all_56_9 = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19297)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e3)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19297) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19298)  all_56_0 = e3 & op(e3, e3) = e3
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16590), (19298) are inconsistent by
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #375.
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19299)  all_56_1 = e3 & op(e3, e2) = e3
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19299) implies:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19300)  op(e3, e2) = e3
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19263), (19300), (function-axioms) are
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #166.
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19301)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e3)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19301) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19302)  all_56_4 = e3 & op(e3, e1) = e3
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19302) implies:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19303)  all_56_4 = e3
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19287), (19303) are inconsistent by
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1285.
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19304)  all_56_9 = e3 & op(e3, e0) = e3
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19296), (19304) are inconsistent by
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1380.
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | |   (19305)  all_56_5 = e2 & op(e2, e1) = e2
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19305) implies:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | |   (19306)  op(e2, e1) = e2
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (19307)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e1)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19307) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19308)  all_56_2 = e1 & op(e2, e3) = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19308) implies:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19309)  op(e2, e3) = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e2,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e1, simplifying with (163), (19284) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19310)  all_52_2 = e2
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e2, simplifying with (165), (19306) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19311)  all_52_9 = e2
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e2, simplifying with (167), (19309) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19312)  all_52_1 = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (19311), (19312) imply:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19313)   ~ (e2 = e1)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19027), (19312) imply:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19314)   ~ (e3 = e1)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (19310) imply:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19315)   ~ (all_52_6 = e2)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19316)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (16591), (19222), (19316),
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #11.
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19317)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = all_57_20 & $i(all_57_20))
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19317) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19318)  all_57_30 = e1 & op(e1, e1) = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19318) implies:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19319)  all_57_30 = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19320)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19320) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19321)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (19027), (19284), (19321),
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #227.
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19322)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16591), (19222), (19322), (function-axioms) are
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #9.
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19323)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19323) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19324)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (19001), (19261), (19324),
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1612.
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19325)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19325) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19326)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19326) implies:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19327)  op(e1, e3) = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e1, e3,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, simplifying with (19284), (19327) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19328)  e2 = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (19328) imply:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19329)  $false
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19329) is inconsistent.
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19330)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19330) gives:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19331)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19331) implies:
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19332)  op(e2, e1) = e1
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19306), (19332), (function-axioms) are
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1148.
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19333)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19333) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19334)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19334) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19335)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19335) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19336)  op(e1, e0) = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19337)  op(e1, e1) = all_57_30
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19338)  op(e1, all_57_30) = all_57_10
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19319), (19338) imply:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19339)  op(e1, e1) = all_57_10
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19319), (19337) imply:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19340)  op(e1, e1) = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, e0, e1, simplifying with (160), (19336) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19341)  all_52_14 = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10, e1, e1, simplifying with (51), (19339)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19342)  all_57_10 = all_14_2
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_10, e1, e1, simplifying with (19339),
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (19340) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19343)  all_57_10 = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19342), (19343) imply:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19344)  all_14_2 = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19344) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19345)  all_14_2 = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (19341), (19345) imply:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19346)  $false
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19346) is inconsistent.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19347)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19347) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19348)   ~ (all_57_12 = e3)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19349)  op(e0, e3) = all_57_25
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19350)  op(e0, all_57_25) = all_57_12
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25, e3, e0, simplifying with (19031),
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (19349) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19351)  all_57_25 = e3
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19348), (19349), (19350), (19351),
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #178.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19352)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20))
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19352) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19353)  all_57_31 = e1 & op(e0, e0) = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19353) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19354)  op(e0, e0) = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19005), (19354), (function-axioms) are
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19355)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19355) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19356)   ~ (all_57_20 = e2)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19357)  op(e2, e1) = all_57_20
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20, e1, e2, simplifying with (19306),
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (19357) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19358)  all_57_20 = e2
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19356), (19358) imply:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19359)  $false
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19359) is inconsistent.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19360)  all_56_3 = e1 & op(e2, e2) = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19360) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19361)  op(e2, e2) = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19222), (19361), (function-axioms) are
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (19362)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e0) = e1)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19362) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19363)  all_56_5 = e1 & op(e2, e1) = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19363) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19364)  op(e2, e1) = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19306), (19364), (function-axioms) are
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1148.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19365)  all_56_10 = e1 & op(e2, e0) = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19365) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19366)  all_56_10 = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19279), (19366) are inconsistent by
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1184.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | |   (19367)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19367) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (19368)  all_56_8 = e2 & op(e1, e1) = e2
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19368) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (19369)  op(e1, e1) = e2
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (216),
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | |            (19283), (19369), (function-axioms) are
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #28.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (19370)  all_56_14 = e2 & op(e0, e1) = e2
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (19002), (19370), (function-axioms) are
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #245.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | |   (19371)  all_56_7 = e2 & op(e1, e2) = e2
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19371) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | |   (19372)  op(e1, e2) = e2
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (19261), (19372), (function-axioms) are
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1614.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | |   (19373)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | |              e2 & op(e1, e0) = e2)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19373) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | |   (19374)  all_56_8 = e2 & op(e1, e1) = e2
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19374) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | |   (19375)  op(e1, e1) = e2
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (19280), (19375), (function-axioms) are
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #422.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | |   (19376)  all_56_11 = e2 & op(e1, e0) = e2
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19376) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | |   (19377)  op(e1, e0) = e2
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (19004), (19377), (function-axioms) are
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #93.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | |   (19378)  all_14_2 = e2
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (19378) imply:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | |   (19379)   ~ (all_52_2 = e2)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (19378) imply:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | |   (19380)  op(e1, e1) = e2
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | |   (19381)  all_54_8 = e3
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (19028), (19381) are inconsistent by
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1243.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | |   (19382)   ~ (all_54_8 = e3)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | |   (19383)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19383) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | |   (19384)  all_54_8 = e2
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (19379), (19384) are inconsistent by
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1240.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | |   (19385)   ~ (all_54_8 = e2)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | |   (19386)  all_54_8 = e1 | all_54_8 = e0
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19386) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | |   (19387)  all_54_8 = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (274), (19387) imply:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | |   (19388)  all_52_2 = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19388) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | |   (19389)  all_52_2 = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (19389) imply:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | |   (19390)   ~ (all_52_6 = e1)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19390) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | |   (19391)   ~ (all_52_6 = e1)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19028), (19389) imply:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | |   (19392)   ~ (e3 = e1)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19379), (19389) imply:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | |   (19393)   ~ (e2 = e1)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (19394)  all_54_9 = e3
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (19219), (19394) are inconsistent by
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1061.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (19395)   ~ (all_54_9 = e3)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | |   (19396)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19396) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (19397)  all_54_9 = e2
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (19261), (19397) are inconsistent by
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1323.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (19398)   ~ (all_54_9 = e2)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (19399)  all_54_9 = e1 | all_54_9 = e0
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19399) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19400)  all_54_9 = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (273), (19391), (19400) are inconsistent by
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1322.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19401)  all_54_9 = e0
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (19401) imply:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19402)  all_52_6 = e0
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19402) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19403)  all_52_6 = e0
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (19403) imply:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19404)   ~ (all_52_7 = e0)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (19404) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19405)   ~ (all_52_7 = e0)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19406)  all_56_15 = e0 & op(e0, e0) = e0
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19406) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19407)  op(e0, e0) = e0
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19005), (19407), (function-axioms) are
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #228.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19408)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19408) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19409)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19409) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19410)  all_56_12 = e0 & op(e0, e3) = e0
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19410) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19411)  op(e0, e3) = e0
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19031), (19411), (function-axioms) are
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #125.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19412)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19412) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19413)  all_56_13 = e0 & op(e0, e2) = e0
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19413) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19414)  op(e0, e2) = e0
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (19405), (19414), (function-axioms) are
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1463.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19415)  all_56_14 = e0 & op(e0, e1) = e0
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19415) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19416)  op(e0, e1) = e0
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19417)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (16591), (19222), (19417),
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #11.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19418)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e1) = all_57_30 & $i(all_57_30))
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19418) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19419)  all_57_30 = e1 & op(e1, e1) = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19419) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19420)  op(e1, e1) = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19380), (19420), (function-axioms) are
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1473.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19421)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_30))
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19421) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19422)  all_57_31 = e1 & op(e0, e0) = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19422) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19423)  op(e0, e0) = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19005), (19423), (function-axioms) are
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19424)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19424) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19425)   ~ (all_57_30 = e1)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19426)  op(e1, e1) = all_57_30
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19427)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e2, e2) = e1)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (16591), (19222), (19427),
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #11.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19428)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e1) = all_57_27 & $i(all_57_27))
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19428) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19429)  all_57_30 = e1 & op(e1, e1) = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19429) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19430)  op(e1, e1) = e1
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19425), (19426), (19430), (function-axioms) are
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1266.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19431)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_27))
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19005), (19416), (19431), (function-axioms)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #4.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | |   (19432)  all_54_8 = e0
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (16583), (19432) are inconsistent by
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1236.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | |   (19433)  all_54_1 = e1 | all_54_1 = e0
% 183.94/28.89  | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | REF_CLOSE: (19236), (19241), (19248), (19433) are
% 183.94/28.89  | | | | | | | | | | | | | | |            inconsistent by sub-proof #8.
% 183.94/28.89  | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | 
% 183.94/28.89  | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | 
% 183.94/28.89  | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | 
% 183.94/28.89  | | | | | | | |   (19434)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 183.94/28.89  | | | | | | | | 
% 183.94/28.89  | | | | | | | | BETA: splitting (19434) gives:
% 183.94/28.89  | | | | | | | | 
% 183.94/28.89  | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | 
% 183.94/28.89  | | | | | | | | |   (19435)  all_54_12 = e2
% 183.94/28.89  | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | COMBINE_EQS: (19015), (19435) imply:
% 183.94/28.89  | | | | | | | | |   (19436)  all_4_1 = e2
% 183.94/28.89  | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | SIMP: (19436) implies:
% 183.94/28.89  | | | | | | | | |   (19437)  all_4_1 = e2
% 183.94/28.89  | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | REDUCE: (19022), (19437) imply:
% 183.94/28.89  | | | | | | | | |   (19438)  $false
% 183.94/28.89  | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | CLOSE: (19438) is inconsistent.
% 183.94/28.89  | | | | | | | | | 
% 183.94/28.89  | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | 
% 183.94/28.89  | | | | | | | | |   (19439)  all_54_12 = e1 | all_54_12 = e0
% 183.94/28.89  | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | BETA: splitting (19439) gives:
% 183.94/28.89  | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | |   (19440)  all_54_12 = e1
% 183.94/28.89  | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | COMBINE_EQS: (19015), (19440) imply:
% 183.94/28.89  | | | | | | | | | |   (19441)  all_4_1 = e1
% 183.94/28.89  | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | SIMP: (19441) implies:
% 183.94/28.89  | | | | | | | | | |   (19442)  all_4_1 = e1
% 183.94/28.89  | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | REDUCE: (19012), (19442) imply:
% 183.94/28.89  | | | | | | | | | |   (19443)  $false
% 183.94/28.89  | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | CLOSE: (19443) is inconsistent.
% 183.94/28.89  | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | |   (19444)  all_54_12 = e0
% 183.94/28.89  | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | COMBINE_EQS: (19015), (19444) imply:
% 183.94/28.89  | | | | | | | | | |   (19445)  all_4_1 = e0
% 183.94/28.89  | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | SIMP: (19445) implies:
% 183.94/28.89  | | | | | | | | | |   (19446)  all_4_1 = e0
% 183.94/28.89  | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | REDUCE: (19023), (19446) imply:
% 183.94/28.89  | | | | | | | | | |   (19447)  $false
% 183.94/28.89  | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | CLOSE: (19447) is inconsistent.
% 183.94/28.89  | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | | 
% 183.94/28.89  | | | | | | | | End of split
% 183.94/28.89  | | | | | | | | 
% 183.94/28.89  | | | | | | | End of split
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | End of split
% 183.94/28.89  | | | | | | 
% 183.94/28.89  | | | | | End of split
% 183.94/28.89  | | | | | 
% 183.94/28.89  | | | | Case 2:
% 183.94/28.89  | | | | | 
% 183.94/28.89  | | | | |   (19448)  all_6_2 = e1
% 183.94/28.89  | | | | | 
% 183.94/28.89  | | | | | REDUCE: (364), (19448) imply:
% 183.94/28.89  | | | | |   (19449)   ~ (all_52_3 = e1)
% 183.94/28.89  | | | | | 
% 183.94/28.89  | | | | | REDUCE: (375), (19448) imply:
% 183.94/28.89  | | | | |   (19450)   ~ (all_52_7 = e1)
% 183.94/28.89  | | | | | 
% 183.94/28.89  | | | | | REDUCE: (383), (19448) imply:
% 183.94/28.89  | | | | |   (19451)   ~ (all_52_12 = e1)
% 183.94/28.89  | | | | | 
% 183.94/28.89  | | | | | REDUCE: (385), (19448) imply:
% 183.94/28.89  | | | | |   (19452)   ~ (all_52_14 = e1)
% 183.94/28.89  | | | | | 
% 183.94/28.89  | | | | | REDUCE: (39), (19448) imply:
% 183.94/28.89  | | | | |   (19453)  op(e0, e0) = e1
% 183.94/28.89  | | | | | 
% 183.94/28.89  | | | | | BETA: splitting (61) gives:
% 183.94/28.89  | | | | | 
% 183.94/28.89  | | | | | Case 1:
% 183.94/28.89  | | | | | | 
% 183.94/28.89  | | | | | |   (19454)   ~ (all_20_2 = e0)
% 183.94/28.89  | | | | | | 
% 183.94/28.89  | | | | | | REDUCE: (16581), (19454) imply:
% 183.94/28.89  | | | | | |   (19455)  $false
% 183.94/28.89  | | | | | | 
% 183.94/28.89  | | | | | | CLOSE: (19455) is inconsistent.
% 183.94/28.89  | | | | | | 
% 183.94/28.89  | | | | | Case 2:
% 183.94/28.89  | | | | | | 
% 183.94/28.89  | | | | | |   (19456)  ( ~ (all_20_0 = e1) & op(e0, e0) = all_20_0 &
% 183.94/28.89  | | | | | |              $i(all_20_0)) | ( ~ (all_20_1 = e2) & op(e0, e3) =
% 183.94/28.89  | | | | | |              all_20_1 & $i(all_20_1))
% 183.94/28.89  | | | | | | 
% 183.94/28.89  | | | | | | BETA: splitting (19456) gives:
% 183.94/28.89  | | | | | | 
% 183.94/28.89  | | | | | | Case 1:
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | |   (19457)   ~ (all_20_0 = e1) & op(e0, e0) = all_20_0 &
% 183.94/28.89  | | | | | | |            $i(all_20_0)
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | | ALPHA: (19457) implies:
% 183.94/28.89  | | | | | | |   (19458)   ~ (all_20_0 = e1)
% 183.94/28.89  | | | | | | |   (19459)  op(e0, e0) = all_20_0
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_20_0,
% 183.94/28.89  | | | | | | |              e0, e0, simplifying with (19453), (19459) gives:
% 183.94/28.89  | | | | | | |   (19460)  all_20_0 = e1
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | | REDUCE: (19458), (19460) imply:
% 183.94/28.89  | | | | | | |   (19461)  $false
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | | CLOSE: (19461) is inconsistent.
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | Case 2:
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | |   (19462)   ~ (all_20_1 = e2) & op(e0, e3) = all_20_1 &
% 183.94/28.89  | | | | | | |            $i(all_20_1)
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | | ALPHA: (19462) implies:
% 183.94/28.89  | | | | | | |   (19463)   ~ (all_20_1 = e2)
% 183.94/28.89  | | | | | | |   (19464)  op(e0, e3) = all_20_1
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 183.94/28.89  | | | | | | |              all_20_1, e3, e0, simplifying with (159), (19464)
% 183.94/28.89  | | | | | | |              gives:
% 183.94/28.89  | | | | | | |   (19465)  all_52_3 = all_20_1
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | | COMBINE_EQS: (264), (19465) imply:
% 183.94/28.89  | | | | | | |   (19466)  all_54_12 = all_20_1
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | | REDUCE: (148), (19465) imply:
% 183.94/28.89  | | | | | | |   (19467)   ~ (all_52_1 = all_20_1)
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | | REDUCE: (144), (19465) imply:
% 183.94/28.89  | | | | | | |   (19468)   ~ (all_52_2 = all_20_1)
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | | REDUCE: (140), (19465) imply:
% 183.94/28.89  | | | | | | |   (19469)   ~ (all_52_7 = all_20_1)
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | | SIMP: (19469) implies:
% 183.94/28.89  | | | | | | |   (19470)   ~ (all_52_7 = all_20_1)
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | | REDUCE: (139), (19465) imply:
% 183.94/28.89  | | | | | | |   (19471)   ~ (all_52_11 = all_20_1)
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | | SIMP: (19471) implies:
% 183.94/28.89  | | | | | | |   (19472)   ~ (all_52_11 = all_20_1)
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | | REDUCE: (19449), (19465) imply:
% 183.94/28.89  | | | | | | |   (19473)   ~ (all_20_1 = e1)
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | | REDUCE: (16584), (19465) imply:
% 183.94/28.89  | | | | | | |   (19474)   ~ (all_20_1 = e0)
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | | BETA: splitting (192) gives:
% 183.94/28.89  | | | | | | | 
% 183.94/28.89  | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | 
% 183.94/28.89  | | | | | | | |   (19475)  all_54_12 = e3
% 183.94/28.89  | | | | | | | | 
% 183.94/28.89  | | | | | | | | COMBINE_EQS: (19466), (19475) imply:
% 183.94/28.89  | | | | | | | |   (19476)  all_20_1 = e3
% 183.94/28.89  | | | | | | | | 
% 183.94/28.89  | | | | | | | | SIMP: (19476) implies:
% 183.94/28.89  | | | | | | | |   (19477)  all_20_1 = e3
% 183.94/28.89  | | | | | | | | 
% 183.94/28.89  | | | | | | | | REDUCE: (19467), (19477) imply:
% 183.94/28.89  | | | | | | | |   (19478)   ~ (all_52_1 = e3)
% 183.94/28.89  | | | | | | | | 
% 183.94/28.89  | | | | | | | | REDUCE: (19468), (19477) imply:
% 183.94/28.89  | | | | | | | |   (19479)   ~ (all_52_2 = e3)
% 183.94/28.89  | | | | | | | | 
% 183.94/28.89  | | | | | | | | REDUCE: (19470), (19477) imply:
% 183.94/28.89  | | | | | | | |   (19480)   ~ (all_52_7 = e3)
% 183.94/28.89  | | | | | | | | 
% 183.94/28.89  | | | | | | | | REDUCE: (19472), (19477) imply:
% 183.94/28.89  | | | | | | | |   (19481)   ~ (all_52_11 = e3)
% 183.94/28.89  | | | | | | | | 
% 183.94/28.89  | | | | | | | | REDUCE: (19464), (19477) imply:
% 183.94/28.89  | | | | | | | |   (19482)  op(e0, e3) = e3
% 183.94/28.89  | | | | | | | | 
% 183.94/28.89  | | | | | | | | BETA: splitting (46) gives:
% 183.94/28.89  | | | | | | | | 
% 183.94/28.89  | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | 
% 183.94/28.89  | | | | | | | | |   (19483)   ~ (all_10_2 = e3)
% 183.94/28.89  | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | BETA: splitting (49) gives:
% 183.94/28.89  | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | |   (19484)   ~ (all_12_2 = e0)
% 183.94/28.89  | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | REDUCE: (335), (19484) imply:
% 183.94/28.89  | | | | | | | | | |   (19485)   ~ (all_10_2 = e0)
% 183.94/28.89  | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | BETA: splitting (52) gives:
% 183.94/28.89  | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | |   (19486)   ~ (all_14_2 = e2)
% 183.94/28.89  | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | BETA: splitting (55) gives:
% 183.94/28.89  | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | |   (19487)   ~ (all_16_2 = e3)
% 183.94/28.89  | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | REDUCE: (338), (19487) imply:
% 183.94/28.89  | | | | | | | | | | | |   (19488)   ~ (all_14_2 = e3)
% 183.94/28.89  | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | BETA: splitting (251) gives:
% 183.94/28.89  | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | |   (19489)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.94/28.89  | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.94/28.89  | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | REF_CLOSE: (7), (45), (16591), (19483), (19489),
% 183.94/28.89  | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.89  | | | | | | | | | | | | |            #7.
% 183.94/28.89  | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | |   (19490)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.94/28.89  | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 183.94/28.89  | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & $i(all_57_25))
% 183.94/28.89  | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | BETA: splitting (19490) gives:
% 183.94/28.89  | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | |   (19491)  all_57_30 = e3 & op(e1, e1) = e3
% 183.94/28.89  | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | ALPHA: (19491) implies:
% 183.94/28.89  | | | | | | | | | | | | | |   (19492)  op(e1, e1) = e3
% 183.94/28.89  | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | REF_CLOSE: (51), (19488), (19492), (function-axioms) are
% 183.94/28.89  | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 183.94/28.89  | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | |   (19493)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.94/28.89  | | | | | | | | | | | | | |              (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 183.94/28.89  | | | | | | | | | | | | | |              $i(all_57_25))
% 183.94/28.89  | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | BETA: splitting (19493) gives:
% 183.94/28.89  | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | |   (19494)  all_57_31 = e3 & op(e0, e0) = e3
% 183.94/28.89  | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | ALPHA: (19494) implies:
% 183.94/28.89  | | | | | | | | | | | | | | |   (19495)  op(e0, e0) = e3
% 183.94/28.89  | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | REF_CLOSE: (8), (19453), (19495), (function-axioms) are
% 183.94/28.89  | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 183.94/28.89  | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | |   (19496)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 183.94/28.89  | | | | | | | | | | | | | | |            $i(all_57_25)
% 183.94/28.89  | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | ALPHA: (19496) implies:
% 183.94/28.89  | | | | | | | | | | | | | | |   (19497)  op(e0, e3) = all_57_25
% 183.94/28.89  | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | |   (19498)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.94/28.89  | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.94/28.89  | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | REF_CLOSE: (7), (45), (16591), (19483), (19498),
% 183.94/28.89  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.89  | | | | | | | | | | | | | | | |            #7.
% 183.94/28.89  | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | |   (19499)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.94/28.89  | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 183.94/28.89  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & $i(all_57_28))
% 183.94/28.89  | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | BETA: splitting (19499) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | |   (19500)  all_57_30 = e3 & op(e1, e1) = e3
% 183.94/28.89  | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | ALPHA: (19500) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | |   (19501)  op(e1, e1) = e3
% 183.94/28.89  | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (19488), (19501), (function-axioms) are
% 183.94/28.89  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 183.94/28.89  | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | |   (19502)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.94/28.89  | | | | | | | | | | | | | | | | |              (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 183.94/28.89  | | | | | | | | | | | | | | | | |              $i(all_57_28))
% 183.94/28.89  | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | BETA: splitting (19502) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | |   (19503)  all_57_31 = e3 & op(e0, e0) = e3
% 183.94/28.89  | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | ALPHA: (19503) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | |   (19504)  op(e0, e0) = e3
% 183.94/28.89  | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19453), (19504), (function-axioms) are
% 183.94/28.89  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 183.94/28.89  | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | |   (19505)   ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 183.94/28.89  | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.94/28.89  | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | ALPHA: (19505) implies:
% 183.94/28.89  | | | | | | | | | | | | | | | | | |   (19506)   ~ (all_57_28 = e3)
% 183.94/28.89  | | | | | | | | | | | | | | | | | |   (19507)  op(e3, e3) = all_57_28
% 183.94/28.89  | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | 
% 183.94/28.89  | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.89  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | |   (19508)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (19483), (19506), (19507), (19508),
% 183.94/28.90  | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.90  | | | | | | | | | | | | | | | | | | |            #89.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | |   (19509)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & $i(all_57_19))
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | BETA: splitting (19509) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | |   (19510)  all_57_30 = e3 & op(e1, e1) = e3
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | ALPHA: (19510) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | |   (19511)  op(e1, e1) = e3
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (19488), (19511), (function-axioms) are
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | |   (19512)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | |              (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | |              $i(all_57_19))
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | BETA: splitting (19512) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | |   (19513)  all_57_31 = e3 & op(e0, e0) = e3
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | ALPHA: (19513) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | |   (19514)  op(e0, e0) = e3
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19453), (19514), (function-axioms) are
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | |   (19515)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | ALPHA: (19515) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | |   (19516)   ~ (all_57_19 = e2)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | |   (19517)  op(e2, e3) = all_57_19
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | |   (19518)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (19483), (19506), (19507), (19518),
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | |            #89.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | |   (19519)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_22 & $i(all_57_22))
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19519) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | |   (19520)  all_57_30 = e3 & op(e1, e1) = e3
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19520) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | |   (19521)  op(e1, e1) = e3
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (19488), (19521), (function-axioms) are
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | |   (19522)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22))
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19522) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |   (19523)  all_57_31 = e3 & op(e0, e0) = e3
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19523) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |   (19524)  op(e0, e0) = e3
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19453), (19524), (function-axioms) are
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |   (19525)   ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19525) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |   (19526)   ~ (all_57_22 = e1)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |   (19527)  op(e1, e3) = all_57_22
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (51), (125), (126), (128), (135), (141),
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |            (146), (149), (157), (158), (160), (162), (163),
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |            (165), (167), (170), (191), (196), (199), (200),
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |            (219), (220), (225), (226), (228), (254), (263),
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |            (274), (283), (284), (362), (363), (369), (371),
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |            (16582), (16583), (16591), (19478), (19479),
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |            (19480), (19481), (19482), (19483), (19485),
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |            (19488), (19497), (19507), (19516), (19517),
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |            (19526), (19527), (function-axioms) are
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #6.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.90  | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | End of split
% 183.94/28.90  | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | End of split
% 183.94/28.90  | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | End of split
% 183.94/28.90  | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | End of split
% 183.94/28.90  | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | End of split
% 183.94/28.90  | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | End of split
% 183.94/28.90  | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | |   (19528)  all_16_2 = e3
% 183.94/28.90  | | | | | | | | | | | |   (19529)  ( ~ (all_16_0 = e0) & op(e3, e3) = all_16_0 &
% 183.94/28.90  | | | | | | | | | | | |              $i(all_16_0)) | ( ~ (all_16_1 = e2) & op(e3, e1)
% 183.94/28.90  | | | | | | | | | | | |              = all_16_1 & $i(all_16_1))
% 183.94/28.90  | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | COMBINE_EQS: (338), (19528) imply:
% 183.94/28.90  | | | | | | | | | | | |   (19530)  all_14_2 = e3
% 183.94/28.90  | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | REDUCE: (374), (19530) imply:
% 183.94/28.90  | | | | | | | | | | | |   (19531)   ~ (all_52_6 = e3)
% 183.94/28.90  | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | REDUCE: (376), (19530) imply:
% 183.94/28.90  | | | | | | | | | | | |   (19532)   ~ (all_52_8 = e3)
% 183.94/28.90  | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | REDUCE: (377), (19530) imply:
% 183.94/28.90  | | | | | | | | | | | |   (19533)   ~ (all_52_9 = e3)
% 183.94/28.90  | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | REDUCE: (51), (19530) imply:
% 183.94/28.90  | | | | | | | | | | | |   (19534)  op(e1, e1) = e3
% 183.94/28.90  | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | BETA: splitting (19529) gives:
% 183.94/28.90  | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | |   (19535)   ~ (all_16_0 = e0) & op(e3, e3) = all_16_0 &
% 183.94/28.90  | | | | | | | | | | | | |            $i(all_16_0)
% 183.94/28.90  | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | REF_CLOSE: (16591), (19535), (function-axioms) are
% 183.94/28.90  | | | | | | | | | | | | |            inconsistent by sub-proof #27.
% 183.94/28.90  | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | |   (19536)   ~ (all_16_1 = e2) & op(e3, e1) = all_16_1 &
% 183.94/28.90  | | | | | | | | | | | | |            $i(all_16_1)
% 183.94/28.90  | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | ALPHA: (19536) implies:
% 183.94/28.90  | | | | | | | | | | | | |   (19537)   ~ (all_16_1 = e2)
% 183.94/28.90  | | | | | | | | | | | | |   (19538)  op(e3, e1) = all_16_1
% 183.94/28.90  | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | BETA: splitting (228) gives:
% 183.94/28.90  | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | |   (19539)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 183.94/28.90  | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 183.94/28.90  | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | BETA: splitting (19539) gives:
% 183.94/28.90  | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | |   (19540)  all_56_1 = e3 & op(e3, e2) = e3
% 183.94/28.90  | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | ALPHA: (19540) implies:
% 183.94/28.90  | | | | | | | | | | | | | | |   (19541)  op(e3, e2) = e3
% 183.94/28.90  | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | |   (19542)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 183.94/28.90  | | | | | | | | | | | | | | | |              & op(e2, e2) = e3)
% 183.94/28.90  | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | BETA: splitting (19542) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | |   (19543)  all_56_2 = e3 & op(e2, e3) = e3
% 183.94/28.90  | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | ALPHA: (19543) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | |   (19544)  op(e2, e3) = e3
% 183.94/28.90  | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (19478), (19544), (function-axioms) are
% 183.94/28.90  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #286.
% 183.94/28.90  | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | |   (19545)  all_56_3 = e3 & op(e2, e2) = e3
% 183.94/28.90  | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | ALPHA: (19545) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | |   (19546)  op(e2, e2) = e3
% 183.94/28.90  | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (19483), (19546), (function-axioms) are
% 183.94/28.90  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #183.
% 183.94/28.90  | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | End of split
% 183.94/28.90  | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | |   (19547)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 183.94/28.90  | | | | | | | | | | | | | | | |              e3 & op(e2, e0) = e3)
% 183.94/28.90  | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | BETA: splitting (19547) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | |   (19548)  all_56_5 = e3 & op(e2, e1) = e3
% 183.94/28.90  | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | ALPHA: (19548) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | |   (19549)  op(e2, e1) = e3
% 183.94/28.90  | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (19533), (19549), (function-axioms) are
% 183.94/28.90  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 183.94/28.90  | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | |   (19550)  all_56_10 = e3 & op(e2, e0) = e3
% 183.94/28.90  | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | ALPHA: (19550) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | |   (19551)  all_56_10 = e3
% 183.94/28.90  | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | |   (19552)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 183.94/28.90  | | | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (16591), (19541), (19552),
% 183.94/28.90  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.90  | | | | | | | | | | | | | | | | | |            #48.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | |   (19553)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 183.94/28.90  | | | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | BETA: splitting (19553) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | |   (19554)  all_56_4 = e1 & op(e3, e1) = e1
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | ALPHA: (19554) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | |   (19555)  all_56_4 = e1
% 183.94/28.90  | | | | | | | | | | | | | | | | | | |   (19556)  op(e3, e1) = e1
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | |   (19557)  all_56_15 = e0 & op(e0, e0) = e0
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | ALPHA: (19557) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | |   (19558)  op(e0, e0) = e0
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (19453), (19558), (function-axioms) are
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #119.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | |   (19559)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | |                  e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | |                e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | ALPHA: (19559) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | |   (19560)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | |                e1) = e0)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | |   (19561)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (167), (16582), (19485), (19561),
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | |            #34.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | |   (19562)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19562) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | |   (19563)  all_56_5 = e0 & op(e2, e1) = e0
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19563) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | |   (19564)  op(e2, e1) = e0
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | |   (19565)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19565) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |   (19566)  all_56_4 = e2 & op(e3, e1) = e2
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19537), (19538), (19566), (function-axioms) are
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #26.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |   (19567)  all_56_5 = e2 & op(e2, e1) = e2
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19567) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |   (19568)  op(e2, e1) = e2
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19564), (19568), (function-axioms) are
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #272.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | |   (19569)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e1) = e2)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19569) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |   (19570)  all_56_8 = e2 & op(e1, e1) = e2
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19570) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |   (19571)  op(e1, e1) = e2
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19534), (19571), (function-axioms) are
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |   (19572)  all_56_14 = e2 & op(e0, e1) = e2
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19572) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | |   (19573)  all_56_14 = e2
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19560) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (19574)  all_56_12 = e0 & op(e0, e3) = e0
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19574) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (19575)  op(e0, e3) = e0
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19482), (19575), (function-axioms) are
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #125.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |   (19576)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e0, e1) = e0)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19576) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19577)  all_56_13 = e0 & op(e0, e2) = e0
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19577) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19578)  op(e0, e2) = e0
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19579)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19579) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19580)  all_57_28 = e2 & op(e3, e3) = e2
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19580) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19581)  op(e3, e3) = e2
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16591), (19581), (function-axioms) are
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #50.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19582)  all_57_29 = e2 & op(e2, e2) = e2
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19582) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19583)  all_57_29 = e2
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19584)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19584) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19585)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (19478), (19532), (19585),
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #280.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19586)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16591), (19541), (19586), (function-axioms)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #24.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19587)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19587) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19588)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19588) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19589)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19589) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19590)  op(e2, e1) = e2
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19564), (19590), (function-axioms) are
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #272.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19591)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_20) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19591) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19592)   ~ (all_57_29 = e0)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19593)  op(e0, e2) = e2
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e2,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (19578), (19593) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19594)  e2 = e0
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (19594) imply:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19595)  $false
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19595) is inconsistent.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19596)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19596) gives:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19597)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19597) implies:
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19598)   ~ (all_57_30 = e3)
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19599)  op(e1, e1) = all_57_30
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19534), (19598), (19599), (function-axioms) are
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #23.
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.90  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19600)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19600) gives:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19601)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19601) implies:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19602)  op(e2, e1) = e1
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e1,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (19564), (19602) gives:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19603)  e1 = e0
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (19603) imply:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19604)  $false
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (19604) is inconsistent.
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19605)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19605) implies:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19606)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19606) gives:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19607)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_23) =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19607) implies:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19608)  op(e1, e0) = e1
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (19452), (19608), (function-axioms) are
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1609.
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19609)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25) = all_57_12 & op(e0, all_57_26) =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & all_57_25 = e0 & op(e3, e0) = e0) |
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, e0) = e0))
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19609) implies:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19610)   ~ (all_57_12 = e3)
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19611)  op(e0, e3) = all_57_25
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19612)  op(e0, all_57_25) = all_57_12
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_25, e3, e0, simplifying with (19482),
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (19611) gives:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19613)  all_57_25 = e3
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19610), (19611), (19612), (19613),
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #178.
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19614)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_26 & $i(all_57_26))
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19614) gives:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19615)  all_57_30 = e2 & op(e1, e1) = e2
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19615) implies:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19616)  op(e1, e1) = e2
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (217), (220), (19555),
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19556), (19573), (19616), (function-axioms) are
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #982.
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (19617)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26))
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19453), (19578), (19617), (function-axioms)
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #2.
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |   (19618)  all_56_14 = e0 & op(e0, e1) = e0
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19573), (19618) are inconsistent by
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1443.
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | |   (19619)  all_56_10 = e0 & op(e2, e0) = e0
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19551), (19619) are inconsistent by
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #882.
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | |   (19620)  all_56_9 = e1 & op(e3, e0) = e1
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (19451), (19620), (function-axioms) are
% 183.94/28.91  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #121.
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | |   (19621)  all_56_3 = e3 & op(e2, e2) = e3
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | ALPHA: (19621) implies:
% 183.94/28.91  | | | | | | | | | | | | | | |   (19622)  op(e2, e2) = e3
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | REF_CLOSE: (45), (19483), (19622), (function-axioms) are
% 183.94/28.91  | | | | | | | | | | | | | | |            inconsistent by sub-proof #183.
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | |   (19623)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 183.94/28.91  | | | | | | | | | | | | | |              e3 & op(e0, e2) = e3)
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | BETA: splitting (19623) gives:
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | Case 1:
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | |   (19624)  all_56_7 = e3 & op(e1, e2) = e3
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | REF_CLOSE: (162), (19531), (19624), (function-axioms) are
% 183.94/28.91  | | | | | | | | | | | | | | |            inconsistent by sub-proof #990.
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | |   (19625)  all_56_13 = e3 & op(e0, e2) = e3
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | REF_CLOSE: (158), (19480), (19625), (function-axioms) are
% 183.94/28.91  | | | | | | | | | | | | | | |            inconsistent by sub-proof #61.
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | |   (19626)  all_14_2 = e2
% 183.94/28.91  | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | REDUCE: (51), (19626) imply:
% 183.94/28.91  | | | | | | | | | | |   (19627)  op(e1, e1) = e2
% 183.94/28.91  | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | BETA: splitting (250) gives:
% 183.94/28.91  | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | Case 1:
% 183.94/28.91  | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | |   (19628)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.94/28.91  | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.94/28.91  | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | REF_CLOSE: (7), (45), (16591), (19483), (19628),
% 183.94/28.91  | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.91  | | | | | | | | | | | |            #7.
% 183.94/28.91  | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | |   (19629)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.94/28.91  | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 183.94/28.91  | | | | | | | | | | | |              op(e3, e3) = all_57_28 & $i(all_57_28))
% 183.94/28.91  | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | BETA: splitting (19629) gives:
% 183.94/28.91  | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | Case 1:
% 183.94/28.91  | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | |   (19630)  all_57_30 = e3 & op(e1, e1) = e3
% 183.94/28.91  | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | ALPHA: (19630) implies:
% 183.94/28.91  | | | | | | | | | | | | |   (19631)  op(e1, e1) = e3
% 183.94/28.91  | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | REF_CLOSE: (9), (19627), (19631), (function-axioms) are
% 183.94/28.91  | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 183.94/28.91  | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | |   (19632)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.94/28.91  | | | | | | | | | | | | |              (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 183.94/28.91  | | | | | | | | | | | | |              $i(all_57_28))
% 183.94/28.91  | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | BETA: splitting (19632) gives:
% 183.94/28.91  | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | Case 1:
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | |   (19633)  all_57_31 = e3 & op(e0, e0) = e3
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | ALPHA: (19633) implies:
% 183.94/28.91  | | | | | | | | | | | | | |   (19634)  op(e0, e0) = e3
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | REF_CLOSE: (8), (19453), (19634), (function-axioms) are
% 183.94/28.91  | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | |   (19635)   ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 183.94/28.91  | | | | | | | | | | | | | |            $i(all_57_28)
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | ALPHA: (19635) implies:
% 183.94/28.91  | | | | | | | | | | | | | |   (19636)   ~ (all_57_28 = e3)
% 183.94/28.91  | | | | | | | | | | | | | |   (19637)  op(e3, e3) = all_57_28
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | Case 1:
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | |   (19638)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 183.94/28.91  | | | | | | | | | | | | | | |              & op(e2, e3) = e2)
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | BETA: splitting (19638) gives:
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | Case 1:
% 183.94/28.91  | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | |   (19639)  all_56_0 = e2 & op(e3, e3) = e2
% 183.94/28.91  | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | ALPHA: (19639) implies:
% 183.94/28.91  | | | | | | | | | | | | | | | |   (19640)  op(e3, e3) = e2
% 183.94/28.91  | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16591), (19640), (function-axioms) are
% 183.94/28.91  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #50.
% 183.94/28.91  | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | |   (19641)  all_56_2 = e2 & op(e2, e3) = e2
% 183.94/28.91  | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | ALPHA: (19641) implies:
% 183.94/28.91  | | | | | | | | | | | | | | | |   (19642)  op(e2, e3) = e2
% 183.94/28.91  | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 183.94/28.91  | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.91  | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | |   (19643)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.94/28.91  | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.94/28.91  | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (19483), (19636), (19637), (19643),
% 183.94/28.91  | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.91  | | | | | | | | | | | | | | | | |            #89.
% 183.94/28.91  | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | |   (19644)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.94/28.91  | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 183.94/28.91  | | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & $i(all_57_19))
% 183.94/28.91  | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | BETA: splitting (19644) gives:
% 183.94/28.91  | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | |   (19645)  all_57_30 = e3 & op(e1, e1) = e3
% 183.94/28.91  | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | ALPHA: (19645) implies:
% 183.94/28.91  | | | | | | | | | | | | | | | | | |   (19646)  op(e1, e1) = e3
% 183.94/28.91  | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19627), (19646), (function-axioms) are
% 183.94/28.91  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 183.94/28.91  | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | |   (19647)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.94/28.91  | | | | | | | | | | | | | | | | | |              (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | |              $i(all_57_19))
% 183.94/28.91  | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | BETA: splitting (19647) gives:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | |   (19648)  all_57_31 = e3 & op(e0, e0) = e3
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | ALPHA: (19648) implies:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | |   (19649)  op(e0, e0) = e3
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19453), (19649), (function-axioms) are
% 183.94/28.91  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | |   (19650)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 183.94/28.91  | | | | | | | | | | | | | | | | | | |            $i(all_57_19)
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | ALPHA: (19650) implies:
% 183.94/28.91  | | | | | | | | | | | | | | | | | | |   (19651)   ~ (all_57_19 = e2)
% 183.94/28.91  | | | | | | | | | | | | | | | | | | |   (19652)  op(e2, e3) = all_57_19
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19642), (19651), (19652), (function-axioms) are
% 183.94/28.91  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #180.
% 183.94/28.91  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | |   (19653)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 183.94/28.91  | | | | | | | | | | | | | | |              e2 & op(e0, e3) = e2)
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | BETA: splitting (19653) gives:
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | Case 1:
% 183.94/28.91  | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | |   (19654)  all_56_6 = e2 & op(e1, e3) = e2
% 183.94/28.91  | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | ALPHA: (19654) implies:
% 183.94/28.91  | | | | | | | | | | | | | | | |   (19655)  all_56_6 = e2
% 183.94/28.91  | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (216),
% 183.94/28.91  | | | | | | | | | | | | | | | |            (19627), (19655), (function-axioms) are
% 183.94/28.91  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #28.
% 183.94/28.91  | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | |   (19656)  all_56_12 = e2 & op(e0, e3) = e2
% 183.94/28.91  | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | ALPHA: (19656) implies:
% 183.94/28.91  | | | | | | | | | | | | | | | |   (19657)  op(e0, e3) = e2
% 183.94/28.91  | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19482), (19657), (function-axioms) are
% 183.94/28.91  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1039.
% 183.94/28.91  | | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | End of split
% 183.94/28.91  | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | |   (19658)  all_12_2 = e0
% 183.94/28.91  | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | COMBINE_EQS: (335), (19658) imply:
% 183.94/28.91  | | | | | | | | | |   (19659)  all_10_2 = e0
% 183.94/28.91  | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | SIMP: (19659) implies:
% 183.94/28.91  | | | | | | | | | |   (19660)  all_10_2 = e0
% 183.94/28.91  | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | COMBINE_EQS: (317), (19660) imply:
% 183.94/28.91  | | | | | | | | | |   (19661)  all_34_2 = e0
% 183.94/28.91  | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | REDUCE: (369), (19660) imply:
% 183.94/28.91  | | | | | | | | | |   (19662)   ~ (all_52_7 = e0)
% 183.94/28.91  | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | REDUCE: (19483), (19660) imply:
% 183.94/28.91  | | | | | | | | | |   (19663)   ~ (e3 = e0)
% 183.94/28.91  | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | REDUCE: (45), (19660) imply:
% 183.94/28.91  | | | | | | | | | |   (19664)  op(e2, e2) = e0
% 183.94/28.91  | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | BETA: splitting (82) gives:
% 183.94/28.91  | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | Case 1:
% 183.94/28.91  | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | |   (19665)   ~ (all_34_2 = e0)
% 183.94/28.91  | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | REDUCE: (19661), (19665) imply:
% 183.94/28.91  | | | | | | | | | | |   (19666)  $false
% 183.94/28.91  | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | CLOSE: (19666) is inconsistent.
% 183.94/28.91  | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | |   (19667)  ( ~ (all_34_0 = e1) & op(e0, e0) = all_34_0 &
% 183.94/28.91  | | | | | | | | | | |              $i(all_34_0)) | ( ~ (all_34_1 = e3) & op(e0, e2)
% 183.94/28.91  | | | | | | | | | | |              = all_34_1 & $i(all_34_1))
% 183.94/28.91  | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | BETA: splitting (191) gives:
% 183.94/28.91  | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | Case 1:
% 183.94/28.91  | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | |   (19668)  all_54_13 = e3
% 183.94/28.91  | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | REF_CLOSE: (263), (19480), (19668) are inconsistent by
% 183.94/28.91  | | | | | | | | | | | |            sub-proof #1302.
% 183.94/28.91  | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | |   (19669)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 183.94/28.91  | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | BETA: splitting (19669) gives:
% 183.94/28.91  | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | Case 1:
% 183.94/28.91  | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | |   (19670)  all_54_13 = e2
% 183.94/28.91  | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | COMBINE_EQS: (263), (19670) imply:
% 183.94/28.91  | | | | | | | | | | | | |   (19671)  all_52_7 = e2
% 183.94/28.91  | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | SIMP: (19671) implies:
% 183.94/28.91  | | | | | | | | | | | | |   (19672)  all_52_7 = e2
% 183.94/28.91  | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | REDUCE: (135), (19672) imply:
% 183.94/28.91  | | | | | | | | | | | | |   (19673)   ~ (all_52_4 = e2)
% 183.94/28.91  | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | REDUCE: (128), (19672) imply:
% 183.94/28.91  | | | | | | | | | | | | |   (19674)   ~ (all_52_6 = e2)
% 183.94/28.91  | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | REDUCE: (158), (19672) imply:
% 183.94/28.91  | | | | | | | | | | | | |   (19675)  op(e0, e2) = e2
% 183.94/28.91  | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | BETA: splitting (19667) gives:
% 183.94/28.91  | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | Case 1:
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | |   (19676)   ~ (all_34_0 = e1) & op(e0, e0) = all_34_0 &
% 183.94/28.91  | | | | | | | | | | | | | |            $i(all_34_0)
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | REF_CLOSE: (19453), (19676), (function-axioms) are
% 183.94/28.91  | | | | | | | | | | | | | |            inconsistent by sub-proof #82.
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | Case 2:
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | |   (19677)   ~ (all_34_1 = e3) & op(e0, e2) = all_34_1 &
% 183.94/28.91  | | | | | | | | | | | | | |            $i(all_34_1)
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | ALPHA: (19677) implies:
% 183.94/28.91  | | | | | | | | | | | | | |   (19678)  op(e0, e2) = all_34_1
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_34_1,
% 183.94/28.91  | | | | | | | | | | | | | |              e2, e0, simplifying with (19675), (19678) gives:
% 183.94/28.91  | | | | | | | | | | | | | |   (19679)  all_34_1 = e2
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 183.94/28.91  | | | | | | | | | | | | | | 
% 183.94/28.91  | | | | | | | | | | | | | | Case 1:
% 183.94/28.91  | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | |   (19680)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.94/28.92  | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.94/28.92  | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.94/28.92  | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.94/28.92  | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.94/28.92  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.94/28.92  | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.94/28.92  | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.94/28.92  | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.94/28.92  | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.94/28.92  | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.94/28.92  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.94/28.92  | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.94/28.92  | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.94/28.92  | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.94/28.92  | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.94/28.92  | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.94/28.92  | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.94/28.92  | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.94/28.92  | | | | | | | | | | | | | | |            (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.94/28.92  | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.94/28.92  | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.94/28.92  | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.94/28.92  | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.94/28.92  | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.94/28.92  | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.94/28.92  | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.94/28.92  | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.94/28.92  | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.94/28.92  | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.94/28.92  | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.94/28.92  | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.94/28.92  | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.94/28.92  | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.94/28.92  | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.94/28.92  | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.94/28.92  | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.94/28.92  | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.94/28.92  | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | BETA: splitting (19680) gives:
% 183.94/28.92  | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | Case 1:
% 183.94/28.92  | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | |   (19681)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.94/28.92  | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.94/28.92  | | | | | | | | | | | | | | | |               ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.94/28.92  | | | | | | | | | | | | | | | |              op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.94/28.92  | | | | | | | | | | | | | | | |              = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.94/28.92  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.94/28.92  | | | | | | | | | | | | | | | |              op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.94/28.92  | | | | | | | | | | | | | | | |              & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.94/28.92  | | | | | | | | | | | | | | | |              & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.94/28.92  | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.94/28.92  | | | | | | | | | | | | | | | |              all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.94/28.92  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.94/28.92  | | | | | | | | | | | | | | | |              &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.94/28.92  | | | | | | | | | | | | | | | |              all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.94/28.92  | | | | | | | | | | | | | | | |                all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.94/28.92  | | | | | | | | | | | | | | | |              & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.94/28.92  | | | | | | | | | | | | | | | |              op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.94/28.92  | | | | | | | | | | | | | | | |              $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.94/28.92  | | | | | | | | | | | | | | | |              $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 183.94/28.92  | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (19478), (19479), (19681),
% 183.94/28.92  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.92  | | | | | | | | | | | | | | | |            #5.
% 183.94/28.92  | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | Case 2:
% 183.94/28.92  | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | |   (19682)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.94/28.92  | | | | | | | | | | | | | | | |              = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.94/28.92  | | | | | | | | | | | | | | | |               ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.94/28.92  | | | | | | | | | | | | | | | |              op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.94/28.92  | | | | | | | | | | | | | | | |              = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.94/28.92  | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.94/28.92  | | | | | | | | | | | | | | | |              & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.94/28.92  | | | | | | | | | | | | | | | |              op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.94/28.92  | | | | | | | | | | | | | | | |              $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.94/28.92  | | | | | | | | | | | | | | | |              $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.94/28.92  | | | | | | | | | | | | | | | |              all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.94/28.92  | | | | | | | | | | | | | | | |                e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.94/28.92  | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.94/28.92  | | | | | | | | | | | | | | | |                all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.94/28.92  | | | | | | | | | | | | | | | |              all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.94/28.92  | | | | | | | | | | | | | | | |                e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.94/28.92  | | | | | | | | | | | | | | | |              = all_57_20 & op(e2, e0) = all_57_21 &
% 183.94/28.92  | | | | | | | | | | | | | | | |              $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.94/28.92  | | | | | | | | | | | | | | | |              $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.94/28.92  | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | BETA: splitting (19682) gives:
% 183.94/28.92  | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.92  | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | |   (19683)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.94/28.92  | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 183.94/28.92  | | | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 183.94/28.92  | | | | | | | | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 183.94/28.92  | | | | | | | | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.94/28.92  | | | | | | | | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.94/28.92  | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 183.94/28.92  | | | | | | | | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.94/28.92  | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.94/28.92  | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.94/28.92  | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | REF_CLOSE: (16591), (19683), (function-axioms) are
% 183.94/28.92  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #25.
% 183.94/28.92  | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.92  | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | |   (19684)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 183.94/28.92  | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 183.94/28.92  | | | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 183.94/28.92  | | | | | | | | | | | | | | | | |              e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.94/28.92  | | | | | | | | | | | | | | | | |              all_57_21) = all_57_7 & op(e2, all_57_29) =
% 183.94/28.92  | | | | | | | | | | | | | | | | |            all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 183.94/28.92  | | | | | | | | | | | | | | | | |            all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 183.94/28.92  | | | | | | | | | | | | | | | | |            all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 183.94/28.92  | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 183.94/28.92  | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.94/28.92  | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | ALPHA: (19684) implies:
% 183.94/28.92  | | | | | | | | | | | | | | | | |   (19685)  op(e3, e2) = e2
% 183.94/28.92  | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (19673), (19685), (function-axioms) are
% 183.94/28.92  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1382.
% 183.94/28.92  | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | End of split
% 183.94/28.92  | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | End of split
% 183.94/28.92  | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | Case 2:
% 183.94/28.92  | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | |   (19686)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.94/28.92  | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.94/28.92  | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.94/28.92  | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.94/28.92  | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.94/28.92  | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.94/28.92  | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.94/28.92  | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.94/28.92  | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.94/28.92  | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.94/28.92  | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.94/28.92  | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.94/28.92  | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.94/28.92  | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.94/28.92  | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.94/28.92  | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.94/28.92  | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.94/28.92  | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.94/28.92  | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.94/28.92  | | | | | | | | | | | | | | |            (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.94/28.92  | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.94/28.92  | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.94/28.92  | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.94/28.92  | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.94/28.92  | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.94/28.92  | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.94/28.92  | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.94/28.92  | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.94/28.92  | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.94/28.92  | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.94/28.92  | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.92  | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.94/28.92  | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.94/28.92  | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.94/28.92  | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.92  | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.94/28.92  | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.94/28.92  | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.94/28.92  | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.94/28.92  | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.94/28.92  | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.94/28.92  | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.94/28.92  | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.92  | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.94/28.92  | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.94/28.92  | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.92  | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.94/28.92  | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.94/28.92  | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.94/28.92  | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.94/28.92  | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.94/28.92  | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.94/28.92  | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.94/28.92  | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.94/28.92  | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.94/28.92  | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.94/28.92  | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.94/28.92  | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.94/28.92  | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.94/28.92  | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.94/28.92  | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.94/28.92  | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.94/28.92  | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.94/28.92  | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.94/28.92  | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.94/28.92  | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.94/28.92  | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | BETA: splitting (19686) gives:
% 183.94/28.92  | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | Case 1:
% 183.94/28.92  | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | |   (19687)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.94/28.92  | | | | | | | | | | | | | | | |              = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.94/28.92  | | | | | | | | | | | | | | | |               ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.94/28.92  | | | | | | | | | | | | | | | |              op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.94/28.92  | | | | | | | | | | | | | | | |              = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.94/28.92  | | | | | | | | | | | | | | | |              op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.94/28.92  | | | | | | | | | | | | | | | |              & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.94/28.92  | | | | | | | | | | | | | | | |              op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.94/28.92  | | | | | | | | | | | | | | | |              $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.94/28.92  | | | | | | | | | | | | | | | |              $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.94/28.92  | | | | | | | | | | | | | | | |              all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.94/28.92  | | | | | | | | | | | | | | | |                e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.94/28.92  | | | | | | | | | | | | | | | |              &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.94/28.92  | | | | | | | | | | | | | | | |              all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.94/28.92  | | | | | | | | | | | | | | | |                all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.94/28.92  | | | | | | | | | | | | | | | |              & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.94/28.92  | | | | | | | | | | | | | | | |              all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.94/28.92  | | | | | | | | | | | | | | | |              $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.94/28.92  | | | | | | | | | | | | | | | |              $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.94/28.92  | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | REF_CLOSE: (162), (19664), (19674), (19687),
% 183.94/28.92  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.92  | | | | | | | | | | | | | | | |            #317.
% 183.94/28.92  | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | Case 2:
% 183.94/28.92  | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | |   (19688)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.94/28.92  | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.94/28.92  | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.94/28.92  | | | | | | | | | | | | | | | |              op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.94/28.92  | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.94/28.92  | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.94/28.92  | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.94/28.92  | | | | | | | | | | | | | | | |              & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.94/28.92  | | | | | | | | | | | | | | | |              $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.94/28.92  | | | | | | | | | | | | | | | |              $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.94/28.92  | | | | | | | | | | | | | | | |              all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.94/28.92  | | | | | | | | | | | | | | | |              (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.92  | | | | | | | | | | | | | | | |              (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.94/28.92  | | | | | | | | | | | | | | | |                e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.94/28.92  | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.94/28.92  | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.92  | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.94/28.92  | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.94/28.92  | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.94/28.92  | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.94/28.92  | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.94/28.92  | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.94/28.92  | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.94/28.92  | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.92  | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.94/28.92  | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.94/28.92  | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.92  | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.94/28.92  | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.94/28.92  | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.94/28.92  | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.94/28.92  | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.94/28.92  | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.94/28.92  | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.94/28.92  | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.94/28.92  | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.94/28.92  | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.94/28.92  | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.94/28.92  | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.94/28.92  | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.94/28.92  | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.94/28.92  | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.94/28.92  | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.94/28.92  | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.94/28.92  | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.94/28.92  | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.94/28.92  | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.94/28.92  | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | BETA: splitting (19688) gives:
% 183.94/28.92  | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.92  | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | |   (19689)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.94/28.92  | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.94/28.92  | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.94/28.92  | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.94/28.92  | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.94/28.92  | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.94/28.92  | | | | | | | | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.94/28.92  | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.94/28.92  | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.94/28.92  | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.94/28.92  | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | ALPHA: (19689) implies:
% 183.94/28.92  | | | | | | | | | | | | | | | | |   (19690)   ~ (all_57_30 = e3)
% 183.94/28.92  | | | | | | | | | | | | | | | | |   (19691)  op(e1, e1) = all_57_30
% 183.94/28.92  | | | | | | | | | | | | | | | | |   (19692)  op(e1, e3) = e1
% 183.94/28.92  | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 183.94/28.92  | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | |   (19693)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.94/28.92  | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.94/28.92  | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16591), (19664), (19693), (function-axioms)
% 183.94/28.92  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #17.
% 183.94/28.92  | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | |   (19694)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.94/28.92  | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 183.94/28.92  | | | | | | | | | | | | | | | | | |              op(e3, e3) = all_57_28 & $i(all_57_28))
% 183.94/28.92  | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | BETA: splitting (19694) gives:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | |   (19695)  all_57_30 = e3 & op(e1, e1) = e3
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | ALPHA: (19695) implies:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | |   (19696)  op(e1, e1) = e3
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19690), (19691), (19696), (function-axioms) are
% 183.94/28.92  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #23.
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | |   (19697)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.94/28.92  | | | | | | | | | | | | | | | | | | |              (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 183.94/28.92  | | | | | | | | | | | | | | | | | | |              $i(all_57_28))
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | BETA: splitting (19697) gives:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | |   (19698)  all_57_31 = e3 & op(e0, e0) = e3
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | ALPHA: (19698) implies:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | |   (19699)  op(e0, e0) = e3
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19453), (19699), (function-axioms) are
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #108.
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | |   (19700)   ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | ALPHA: (19700) implies:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | |   (19701)   ~ (all_57_28 = e3)
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | |   (19702)  op(e3, e3) = all_57_28
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | |   (19703)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e2, e2) = e3)
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19664), (19701), (19702), (19703),
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | |            #16.
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | |   (19704)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | |              e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | |              op(e1, e3) = all_57_22 & $i(all_57_22))
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19704) gives:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | |   (19705)  all_57_30 = e3 & op(e1, e1) = e3
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19705) implies:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | |   (19706)  op(e1, e1) = e3
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19690), (19691), (19706), (function-axioms) are
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #23.
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | |   (19707)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | |              (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22))
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19453), (19692), (19707), (function-axioms)
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #90.
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.92  | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | End of split
% 183.94/28.92  | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.92  | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | |   (19708)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.94/28.92  | | | | | | | | | | | | | | | | |              = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.94/28.92  | | | | | | | | | | | | | | | | |              &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.94/28.92  | | | | | | | | | | | | | | | | |              op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.94/28.92  | | | | | | | | | | | | | | | | |              op(e1, all_57_24) = all_57_11 & op(e1,
% 183.94/28.92  | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.92  | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.94/28.92  | | | | | | | | | | | | | | | | |              all_57_30 & op(e1, e0) = all_57_24 &
% 183.94/28.92  | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.94/28.92  | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.94/28.92  | | | | | | | | | | | | | | | | |            (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.94/28.92  | | | | | | | | | | | | | | | | |              ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.94/28.92  | | | | | | | | | | | | | | | | |                  all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.94/28.92  | | | | | | | | | | | | | | | | |                  (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.92  | | | | | | | | | | | | | | | | |                  (all_57_30 = e0) & op(e1, all_57_22) =
% 183.94/28.92  | | | | | | | | | | | | | | | | |                  all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.94/28.92  | | | | | | | | | | | | | | | | |                  op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.92  | | | | | | | | | | | | | | | | |                  all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.94/28.92  | | | | | | | | | | | | | | | | |                    e1) = all_57_30 & op(e1, e0) = e1 &
% 183.94/28.92  | | | | | | | | | | | | | | | | |                  $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.94/28.92  | | | | | | | | | | | | | | | | |                  & $i(all_57_22) & $i(all_57_23) &
% 183.94/28.92  | | | | | | | | | | | | | | | | |                  $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.94/28.92  | | | | | | | | | | | | | | | | |                  (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.94/28.92  | | | | | | | | | | | | | | | | |                  (all_57_15 = e0) & op(e0, all_57_25) =
% 183.94/28.92  | | | | | | | | | | | | | | | | |                  all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.94/28.92  | | | | | | | | | | | | | | | | |                  op(e0, all_57_27) = all_57_14 & op(e0,
% 183.94/28.92  | | | | | | | | | | | | | | | | |                    all_57_31) = all_57_15 & op(e0, e3) =
% 183.94/28.92  | | | | | | | | | | | | | | | | |                  all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.94/28.92  | | | | | | | | | | | | | | | | |                    e0) = all_57_31 & $i(all_57_12) &
% 183.94/28.92  | | | | | | | | | | | | | | | | |                  $i(all_57_13) & $i(all_57_14) &
% 183.94/28.92  | | | | | | | | | | | | | | | | |                  $i(all_57_15) & $i(all_57_25) &
% 183.94/28.92  | | | | | | | | | | | | | | | | |                  $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.94/28.92  | | | | | | | | | | | | | | | | |                    e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.94/28.92  | | | | | | | | | | | | | | | | |                      op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.94/28.92  | | | | | | | | | | | | | | | | |                      all_57_26 = e0 & op(e2, e0) = e0) |
% 183.94/28.92  | | | | | | | | | | | | | | | | |                    (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.94/28.92  | | | | | | | | | | | | | | | | |                        e0) = e0)))))
% 183.94/28.92  | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | BETA: splitting (19708) gives:
% 183.94/28.92  | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | |   (19709)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.94/28.92  | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.94/28.92  | | | | | | | | | | | | | | | | | |            ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.94/28.92  | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.94/28.92  | | | | | | | | | | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.94/28.92  | | | | | | | | | | | | | | | | | |            all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.94/28.92  | | | | | | | | | | | | | | | | | |            e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.94/28.92  | | | | | | | | | | | | | | | | | |            all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.94/28.92  | | | | | | | | | | | | | | | | | |            $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.94/28.92  | | | | | | | | | | | | | | | | | |            $i(all_57_30)
% 183.94/28.92  | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | ALPHA: (19709) implies:
% 183.94/28.92  | | | | | | | | | | | | | | | | | |   (19710)   ~ (all_57_30 = e2)
% 183.94/28.92  | | | | | | | | | | | | | | | | | |   (19711)  op(e1, e1) = all_57_30
% 183.94/28.92  | | | | | | | | | | | | | | | | | |   (19712)  op(e1, e2) = e1
% 183.94/28.92  | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | |   (19713)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 183.94/28.92  | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16591), (19664), (19713), (function-axioms)
% 183.94/28.92  | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #21.
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | |   (19714)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 183.94/28.92  | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 183.94/28.92  | | | | | | | | | | | | | | | | | | |              op(e2, e2) = all_57_29 & $i(all_57_29))
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | BETA: splitting (19714) gives:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | |   (19715)  all_57_30 = e2 & op(e1, e1) = e2
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | ALPHA: (19715) implies:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | |   (19716)  op(e1, e1) = e2
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19710), (19711), (19716), (function-axioms) are
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #661.
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | |   (19717)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | |              (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | |              $i(all_57_29))
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | BETA: splitting (19717) gives:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | |   (19718)  all_57_31 = e2 & op(e0, e0) = e2
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | ALPHA: (19718) implies:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | |   (19719)  op(e0, e0) = e2
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19453), (19719), (function-axioms) are
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | |   (19720)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | ALPHA: (19720) implies:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | |   (19721)   ~ (all_57_29 = e2)
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | |   (19722)  op(e2, e2) = all_57_29
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | |   (19723)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16591), (19721), (19722), (19723),
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | |            #36.
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | |   (19724)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e2) = all_57_23 & $i(all_57_23))
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19724) gives:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | |   (19725)  all_57_30 = e2 & op(e1, e1) = e2
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19725) implies:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | |   (19726)  op(e1, e1) = e2
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19710), (19711), (19726), (function-axioms) are
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #661.
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | |   (19727)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_23))
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19453), (19712), (19727), (function-axioms)
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #56.
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.92  | | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | | End of split
% 183.94/28.92  | | | | | | | | | | | | | | | | | | 
% 183.94/28.92  | | | | | | | | | | | | | | | | | Case 2:
% 183.94/28.92  | | | | | | | | | | | | | | | | | | 
% 183.94/28.93  | | | | | | | | | | | | | | | | | |   (19728)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.94/28.93  | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.94/28.93  | | | | | | | | | | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                op(e0, all_57_25) = all_57_12 & op(e0,
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                  all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                all_57_26 & op(e0, e0) = all_57_31 &
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                & $i(all_57_15) & $i(all_57_25) &
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                      e0) = e0))))
% 183.94/28.93  | | | | | | | | | | | | | | | | | | 
% 183.94/28.93  | | | | | | | | | | | | | | | | | | ALPHA: (19728) implies:
% 183.94/28.93  | | | | | | | | | | | | | | | | | |   (19729)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.94/28.93  | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.94/28.93  | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.94/28.93  | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.94/28.93  | | | | | | | | | | | | | | | | | |              & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                all_57_30) = all_57_10 & op(e1, e3) =
% 183.94/28.93  | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.94/28.93  | | | | | | | | | | | | | | | | | |              = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.94/28.93  | | | | | | | | | | | | | | | | | |              $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.94/28.93  | | | | | | | | | | | | | | | | | |              $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.94/28.93  | | | | | | | | | | | | | | | | | |              = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.94/28.93  | | | | | | | | | | | | | | | | | |              op(e0, all_57_27) = all_57_14 & op(e0,
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                all_57_31) = all_57_15 & op(e0, e3) =
% 183.94/28.93  | | | | | | | | | | | | | | | | | |              all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.94/28.93  | | | | | | | | | | | | | | | | | |              = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.94/28.93  | | | | | | | | | | | | | | | | | |              $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.94/28.93  | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                    e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                  e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.94/28.93  | | | | | | | | | | | | | | | | | |                  all_57_27 = e0 & op(e1, e0) = e0)))
% 183.94/28.93  | | | | | | | | | | | | | | | | | | 
% 183.94/28.93  | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (19452), (19675), (19729),
% 183.94/28.93  | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.94/28.93  | | | | | | | | | | | | | | | | | |            #77.
% 183.94/28.93  | | | | | | | | | | | | | | | | | | 
% 183.94/28.93  | | | | | | | | | | | | | | | | | End of split
% 183.94/28.93  | | | | | | | | | | | | | | | | | 
% 183.94/28.93  | | | | | | | | | | | | | | | | End of split
% 183.94/28.93  | | | | | | | | | | | | | | | | 
% 183.94/28.93  | | | | | | | | | | | | | | | End of split
% 183.94/28.93  | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | |   (19730)  all_54_13 = e1 | all_54_13 = e0
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | REF_CLOSE: (263), (19450), (19662), (19730) are inconsistent
% 183.99/28.93  | | | | | | | | | | | | |            by sub-proof #1311.
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | 
% 183.99/28.93  | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | 
% 183.99/28.93  | | | | | | | | |   (19731)  all_10_2 = e3
% 183.99/28.93  | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | COMBINE_EQS: (306), (19731) imply:
% 183.99/28.93  | | | | | | | | |   (19732)  all_50_2 = e3
% 183.99/28.93  | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | REDUCE: (371), (19731) imply:
% 183.99/28.93  | | | | | | | | |   (19733)   ~ (all_52_9 = e3)
% 183.99/28.93  | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | REDUCE: (45), (19731) imply:
% 183.99/28.93  | | | | | | | | |   (19734)  op(e2, e2) = e3
% 183.99/28.93  | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | BETA: splitting (106) gives:
% 183.99/28.93  | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | Case 1:
% 183.99/28.93  | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | |   (19735)   ~ (all_50_2 = e3)
% 183.99/28.93  | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | REDUCE: (19732), (19735) imply:
% 183.99/28.93  | | | | | | | | | |   (19736)  $false
% 183.99/28.93  | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | CLOSE: (19736) is inconsistent.
% 183.99/28.93  | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | |   (19737)  ( ~ (all_50_0 = e0) & op(e3, e3) = all_50_0 &
% 183.99/28.93  | | | | | | | | | |              $i(all_50_0)) | ( ~ (all_50_1 = e1) & op(e3, e2)
% 183.99/28.93  | | | | | | | | | |              = all_50_1 & $i(all_50_1))
% 183.99/28.93  | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | BETA: splitting (19737) gives:
% 183.99/28.93  | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | Case 1:
% 183.99/28.93  | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | |   (19738)   ~ (all_50_0 = e0) & op(e3, e3) = all_50_0 &
% 183.99/28.93  | | | | | | | | | | |            $i(all_50_0)
% 183.99/28.93  | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | REF_CLOSE: (16591), (19738), (function-axioms) are
% 183.99/28.93  | | | | | | | | | | |            inconsistent by sub-proof #3.
% 183.99/28.93  | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | |   (19739)   ~ (all_50_1 = e1) & op(e3, e2) = all_50_1 &
% 183.99/28.93  | | | | | | | | | | |            $i(all_50_1)
% 183.99/28.93  | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | ALPHA: (19739) implies:
% 183.99/28.93  | | | | | | | | | | |   (19740)   ~ (all_50_1 = e1)
% 183.99/28.93  | | | | | | | | | | |   (19741)  op(e3, e2) = all_50_1
% 183.99/28.93  | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 183.99/28.93  | | | | | | | | | | |              all_50_1, e2, e3, simplifying with (170), (19741)
% 183.99/28.93  | | | | | | | | | | |              gives:
% 183.99/28.93  | | | | | | | | | | |   (19742)  all_52_4 = all_50_1
% 183.99/28.93  | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | BETA: splitting (226) gives:
% 183.99/28.93  | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | Case 1:
% 183.99/28.93  | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | |   (19743)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 183.99/28.93  | | | | | | | | | | | |              & op(e2, e2) = e1)
% 183.99/28.93  | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | BETA: splitting (19743) gives:
% 183.99/28.93  | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | Case 1:
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | |   (19744)  all_56_1 = e1 & op(e3, e2) = e1
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | REF_CLOSE: (19740), (19741), (19744), (function-axioms) are
% 183.99/28.93  | | | | | | | | | | | | |            inconsistent by sub-proof #1.
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | |   (19745)  all_56_3 = e1 & op(e2, e2) = e1
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | ALPHA: (19745) implies:
% 183.99/28.93  | | | | | | | | | | | | |   (19746)  op(e2, e2) = e1
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | REF_CLOSE: (8), (19734), (19746), (function-axioms) are
% 183.99/28.93  | | | | | | | | | | | | |            inconsistent by sub-proof #1347.
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | |   (19747)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 183.99/28.93  | | | | | | | | | | | |              e1 & op(e0, e2) = e1)
% 183.99/28.93  | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | BETA: splitting (19747) gives:
% 183.99/28.93  | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | Case 1:
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | |   (19748)  all_56_7 = e1 & op(e1, e2) = e1
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | ALPHA: (19748) implies:
% 183.99/28.93  | | | | | | | | | | | | |   (19749)  op(e1, e2) = e1
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | BETA: splitting (225) gives:
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | Case 1:
% 183.99/28.93  | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | |   (19750)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 183.99/28.93  | | | | | | | | | | | | | |              & op(e2, e2) = e0)
% 183.99/28.93  | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | BETA: splitting (19750) gives:
% 183.99/28.93  | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | Case 1:
% 183.99/28.93  | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | |   (19751)  all_56_1 = e0 & op(e3, e2) = e0
% 183.99/28.93  | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | REF_CLOSE: (170), (16585), (19751), (function-axioms) are
% 183.99/28.93  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1466.
% 183.99/28.93  | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | |   (19752)  all_56_3 = e0 & op(e2, e2) = e0
% 183.99/28.93  | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | ALPHA: (19752) implies:
% 183.99/28.93  | | | | | | | | | | | | | | |   (19753)  op(e2, e2) = e0
% 183.99/28.93  | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | REF_CLOSE: (7), (19734), (19753), (function-axioms) are
% 183.99/28.93  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1015.
% 183.99/28.93  | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | |   (19754)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 183.99/28.93  | | | | | | | | | | | | | |              e0 & op(e0, e2) = e0)
% 183.99/28.93  | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | BETA: splitting (19754) gives:
% 183.99/28.93  | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | Case 1:
% 183.99/28.93  | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | |   (19755)  all_56_7 = e0 & op(e1, e2) = e0
% 183.99/28.93  | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | ALPHA: (19755) implies:
% 183.99/28.93  | | | | | | | | | | | | | | |   (19756)  op(e1, e2) = e0
% 183.99/28.93  | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | REF_CLOSE: (4), (19749), (19756), (function-axioms) are
% 183.99/28.93  | | | | | | | | | | | | | | |            inconsistent by sub-proof #863.
% 183.99/28.93  | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | |   (19757)  all_56_13 = e0 & op(e0, e2) = e0
% 183.99/28.93  | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | ALPHA: (19757) implies:
% 183.99/28.93  | | | | | | | | | | | | | | |   (19758)  op(e0, e2) = e0
% 183.99/28.93  | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 183.99/28.93  | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | Case 1:
% 183.99/28.93  | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | |   (19759)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 183.99/28.93  | | | | | | | | | | | | | | | |              & op(e3, e2) = e1)
% 183.99/28.93  | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | BETA: splitting (19759) gives:
% 183.99/28.93  | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | Case 1:
% 183.99/28.93  | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | |   (19760)  all_56_0 = e1 & op(e3, e3) = e1
% 183.99/28.93  | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | ALPHA: (19760) implies:
% 183.99/28.93  | | | | | | | | | | | | | | | | |   (19761)  op(e3, e3) = e1
% 183.99/28.93  | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16591), (19761), (function-axioms) are
% 183.99/28.93  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #49.
% 183.99/28.93  | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | |   (19762)  all_56_1 = e1 & op(e3, e2) = e1
% 183.99/28.93  | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | REF_CLOSE: (19740), (19741), (19762), (function-axioms) are
% 183.99/28.93  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1.
% 183.99/28.93  | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | |   (19763)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 183.99/28.93  | | | | | | | | | | | | | | | |              & op(e3, e0) = e1)
% 183.99/28.93  | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | BETA: splitting (19763) gives:
% 183.99/28.93  | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | Case 1:
% 183.99/28.93  | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | |   (19764)  all_56_4 = e1 & op(e3, e1) = e1
% 183.99/28.93  | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | ALPHA: (19764) implies:
% 183.99/28.93  | | | | | | | | | | | | | | | | |   (19765)  all_56_4 = e1
% 183.99/28.93  | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 183.99/28.93  | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | Case 1:
% 183.99/28.93  | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | |   (19766)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 183.99/28.93  | | | | | | | | | | | | | | | | | |              & op(e2, e1) = e3)
% 183.99/28.93  | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | BETA: splitting (19766) gives:
% 183.99/28.93  | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | Case 1:
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | |   (19767)  all_56_4 = e3 & op(e3, e1) = e3
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | ALPHA: (19767) implies:
% 183.99/28.93  | | | | | | | | | | | | | | | | | | |   (19768)  all_56_4 = e3
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19765), (19768) are inconsistent by
% 183.99/28.93  | | | | | | | | | | | | | | | | | | |            sub-proof #1567.
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | |   (19769)  all_56_5 = e3 & op(e2, e1) = e3
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | ALPHA: (19769) implies:
% 183.99/28.93  | | | | | | | | | | | | | | | | | | |   (19770)  op(e2, e1) = e3
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (19733), (19770), (function-axioms) are
% 183.99/28.93  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1449.
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | |   (19771)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 183.99/28.93  | | | | | | | | | | | | | | | | | |              e3 & op(e0, e1) = e3)
% 183.99/28.93  | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | BETA: splitting (19771) gives:
% 183.99/28.93  | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | Case 1:
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | |   (19772)  all_56_8 = e3 & op(e1, e1) = e3
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | ALPHA: (19772) implies:
% 183.99/28.93  | | | | | | | | | | | | | | | | | | |   (19773)  op(e1, e1) = e3
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | |   (19774)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | |              e2 & op(e2, e2) = e2)
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (16591), (19734), (19774),
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | |            #12.
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | |   (19775)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | |              e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) &
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | |              op(e0, e2) = all_57_26 & $i(all_57_26))
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | BETA: splitting (19775) gives:
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | |   (19776)  all_57_30 = e2 & op(e1, e1) = e2
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | | ALPHA: (19776) implies:
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | |   (19777)  op(e1, e1) = e2
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (19773), (19777), (function-axioms) are
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1164.
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | |   (19778)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | |              (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26))
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (19453), (19758), (19778), (function-axioms)
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #2.
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | |   (19779)  all_56_14 = e3 & op(e0, e1) = e3
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (19481), (19779), (function-axioms) are
% 183.99/28.93  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #176.
% 183.99/28.93  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | |   (19780)  all_56_9 = e1 & op(e3, e0) = e1
% 183.99/28.93  | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (19451), (19780), (function-axioms) are
% 183.99/28.93  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #121.
% 183.99/28.93  | | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | |   (19781)  all_56_13 = e1 & op(e0, e2) = e1
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | ALPHA: (19781) implies:
% 183.99/28.93  | | | | | | | | | | | | |   (19782)  op(e0, e2) = e1
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | | REF_CLOSE: (158), (19450), (19782), (function-axioms) are
% 183.99/28.93  | | | | | | | | | | | | |            inconsistent by sub-proof #841.
% 183.99/28.93  | | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | | 
% 183.99/28.93  | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | 
% 183.99/28.93  | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | 
% 183.99/28.93  | | | | | | | |   (19783)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 183.99/28.93  | | | | | | | | 
% 183.99/28.93  | | | | | | | | BETA: splitting (19783) gives:
% 183.99/28.93  | | | | | | | | 
% 183.99/28.93  | | | | | | | | Case 1:
% 183.99/28.93  | | | | | | | | | 
% 183.99/28.93  | | | | | | | | |   (19784)  all_54_12 = e2
% 183.99/28.93  | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | COMBINE_EQS: (19466), (19784) imply:
% 183.99/28.93  | | | | | | | | |   (19785)  all_20_1 = e2
% 183.99/28.93  | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | SIMP: (19785) implies:
% 183.99/28.93  | | | | | | | | |   (19786)  all_20_1 = e2
% 183.99/28.93  | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | REDUCE: (19463), (19786) imply:
% 183.99/28.93  | | | | | | | | |   (19787)  $false
% 183.99/28.93  | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | CLOSE: (19787) is inconsistent.
% 183.99/28.93  | | | | | | | | | 
% 183.99/28.93  | | | | | | | | Case 2:
% 183.99/28.93  | | | | | | | | | 
% 183.99/28.93  | | | | | | | | |   (19788)  all_54_12 = e1 | all_54_12 = e0
% 183.99/28.93  | | | | | | | | | 
% 183.99/28.93  | | | | | | | | | REF_CLOSE: (264), (16584), (19449), (19788) are inconsistent
% 183.99/28.93  | | | | | | | | |            by sub-proof #1255.
% 183.99/28.93  | | | | | | | | | 
% 183.99/28.93  | | | | | | | | End of split
% 183.99/28.93  | | | | | | | | 
% 183.99/28.93  | | | | | | | End of split
% 183.99/28.93  | | | | | | | 
% 183.99/28.93  | | | | | | End of split
% 183.99/28.93  | | | | | | 
% 183.99/28.93  | | | | | End of split
% 183.99/28.93  | | | | | 
% 183.99/28.93  | | | | End of split
% 183.99/28.93  | | | | 
% 183.99/28.93  | | | Case 2:
% 183.99/28.93  | | | | 
% 183.99/28.93  | | | |   (19789)  all_56_2 = e0 & op(e2, e3) = e0
% 183.99/28.93  | | | | 
% 183.99/28.93  | | | | REF_CLOSE: (167), (16582), (19789), (function-axioms) are inconsistent
% 183.99/28.93  | | | |            by sub-proof #930.
% 183.99/28.93  | | | | 
% 183.99/28.93  | | | End of split
% 183.99/28.93  | | | 
% 183.99/28.93  | | Case 2:
% 183.99/28.93  | | | 
% 183.99/28.93  | | |   (19790)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0,
% 183.99/28.93  | | |                e3) = e0)
% 183.99/28.93  | | | 
% 183.99/28.93  | | | BETA: splitting (19790) gives:
% 183.99/28.93  | | | 
% 183.99/28.93  | | | Case 1:
% 183.99/28.93  | | | | 
% 183.99/28.93  | | | |   (19791)  all_56_6 = e0 & op(e1, e3) = e0
% 183.99/28.93  | | | | 
% 183.99/28.93  | | | | REF_CLOSE: (163), (16583), (19791), (function-axioms) are inconsistent
% 183.99/28.93  | | | |            by sub-proof #1197.
% 183.99/28.93  | | | | 
% 183.99/28.93  | | | Case 2:
% 183.99/28.93  | | | | 
% 183.99/28.93  | | | |   (19792)  all_56_12 = e0 & op(e0, e3) = e0
% 183.99/28.93  | | | | 
% 183.99/28.93  | | | | REF_CLOSE: (159), (16584), (19792), (function-axioms) are inconsistent
% 183.99/28.93  | | | |            by sub-proof #14.
% 183.99/28.93  | | | | 
% 183.99/28.93  | | | End of split
% 183.99/28.93  | | | 
% 183.99/28.93  | | End of split
% 183.99/28.93  | | 
% 183.99/28.93  | End of split
% 183.99/28.93  | 
% 183.99/28.93  End of proof
% 183.99/28.93  
% 183.99/28.93  Sub-proof #1 shows that the following formulas are inconsistent:
% 183.99/28.93  ----------------------------------------------------------------
% 183.99/28.93    (1)  all_56_1 = e1 & op(e3, e2) = e1
% 183.99/28.93    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.93    (3)  op(e3, e2) = all_50_1
% 183.99/28.93    (4)   ~ (all_50_1 = e1)
% 183.99/28.93  
% 183.99/28.93  Begin of proof
% 183.99/28.93  | 
% 183.99/28.93  | ALPHA: (1) implies:
% 183.99/28.93  |   (5)  op(e3, e2) = e1
% 183.99/28.93  | 
% 183.99/28.93  | GROUND_INST: instantiating (2) with e1, all_50_1, e2, e3, simplifying with
% 183.99/28.93  |              (3), (5) gives:
% 183.99/28.93  |   (6)  all_50_1 = e1
% 183.99/28.93  | 
% 183.99/28.93  | REDUCE: (4), (6) imply:
% 183.99/28.93  |   (7)  $false
% 183.99/28.93  | 
% 183.99/28.93  | CLOSE: (7) is inconsistent.
% 183.99/28.93  | 
% 183.99/28.93  End of proof
% 183.99/28.93  
% 183.99/28.93  Sub-proof #2 shows that the following formulas are inconsistent:
% 183.99/28.93  ----------------------------------------------------------------
% 183.99/28.93    (1)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) & op(e0, e2) =
% 183.99/28.93           all_57_26 & $i(all_57_26))
% 183.99/28.93    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.93    (3)  op(e0, e2) = e0
% 183.99/28.93    (4)  op(e0, e0) = e1
% 183.99/28.93    (5)   ~ (e2 = e1)
% 183.99/28.93  
% 183.99/28.93  Begin of proof
% 183.99/28.93  | 
% 183.99/28.93  | BETA: splitting (1) gives:
% 183.99/28.93  | 
% 183.99/28.93  | Case 1:
% 183.99/28.93  | | 
% 183.99/28.93  | |   (6)  all_57_31 = e2 & op(e0, e0) = e2
% 183.99/28.93  | | 
% 183.99/28.93  | | ALPHA: (6) implies:
% 183.99/28.94  | |   (7)  op(e0, e0) = e2
% 183.99/28.94  | | 
% 183.99/28.94  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #110.
% 183.99/28.94  | | 
% 183.99/28.94  | Case 2:
% 183.99/28.94  | | 
% 183.99/28.94  | |   (8)   ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 & $i(all_57_26)
% 183.99/28.94  | | 
% 183.99/28.94  | | REF_CLOSE: (2), (3), (8) are inconsistent by sub-proof #32.
% 183.99/28.94  | | 
% 183.99/28.94  | End of split
% 183.99/28.94  | 
% 183.99/28.94  End of proof
% 183.99/28.94  
% 183.99/28.94  Sub-proof #3 shows that the following formulas are inconsistent:
% 183.99/28.94  ----------------------------------------------------------------
% 183.99/28.94    (1)   ~ (all_50_0 = e0) & op(e3, e3) = all_50_0 & $i(all_50_0)
% 183.99/28.94    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.94    (3)  op(e3, e3) = e0
% 183.99/28.94  
% 183.99/28.94  Begin of proof
% 183.99/28.94  | 
% 183.99/28.94  | ALPHA: (1) implies:
% 183.99/28.94  |   (4)   ~ (all_50_0 = e0)
% 183.99/28.94  |   (5)  op(e3, e3) = all_50_0
% 183.99/28.94  | 
% 183.99/28.94  | GROUND_INST: instantiating (2) with e0, all_50_0, e3, e3, simplifying with
% 183.99/28.94  |              (3), (5) gives:
% 183.99/28.94  |   (6)  all_50_0 = e0
% 183.99/28.94  | 
% 183.99/28.94  | REDUCE: (4), (6) imply:
% 183.99/28.94  |   (7)  $false
% 183.99/28.94  | 
% 183.99/28.94  | CLOSE: (7) is inconsistent.
% 183.99/28.94  | 
% 183.99/28.94  End of proof
% 183.99/28.94  
% 183.99/28.94  Sub-proof #4 shows that the following formulas are inconsistent:
% 183.99/28.94  ----------------------------------------------------------------
% 183.99/28.94    (1)  op(e0, e1) = e0
% 183.99/28.94    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.94    (3)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) & op(e0, e1) =
% 183.99/28.94           all_57_27 & $i(all_57_27))
% 183.99/28.94    (4)   ~ (e2 = e1)
% 183.99/28.94    (5)  op(e0, e0) = e2
% 183.99/28.94  
% 183.99/28.94  Begin of proof
% 183.99/28.94  | 
% 183.99/28.94  | BETA: splitting (3) gives:
% 183.99/28.94  | 
% 183.99/28.94  | Case 1:
% 183.99/28.94  | | 
% 183.99/28.94  | |   (6)  all_57_31 = e1 & op(e0, e0) = e1
% 183.99/28.94  | | 
% 183.99/28.94  | | ALPHA: (6) implies:
% 183.99/28.94  | |   (7)  op(e0, e0) = e1
% 183.99/28.94  | | 
% 183.99/28.94  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #110.
% 183.99/28.94  | | 
% 183.99/28.94  | Case 2:
% 183.99/28.94  | | 
% 183.99/28.94  | |   (8)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 & $i(all_57_27)
% 183.99/28.94  | | 
% 183.99/28.94  | | ALPHA: (8) implies:
% 183.99/28.94  | |   (9)   ~ (all_57_27 = e0)
% 183.99/28.94  | |   (10)  op(e0, e1) = all_57_27
% 183.99/28.94  | | 
% 183.99/28.94  | | REF_CLOSE: (1), (2), (9), (10) are inconsistent by sub-proof #30.
% 183.99/28.94  | | 
% 183.99/28.94  | End of split
% 183.99/28.94  | 
% 183.99/28.94  End of proof
% 183.99/28.94  
% 183.99/28.94  Sub-proof #5 shows that the following formulas are inconsistent:
% 183.99/28.94  ----------------------------------------------------------------
% 183.99/28.94    (1)   ~ (all_52_2 = e3)
% 183.99/28.94    (2)  op(e1, e3) = all_52_2
% 183.99/28.94    (3)  op(e2, e3) = all_52_1
% 183.99/28.94    (4)   ~ (all_52_1 = e3)
% 183.99/28.94    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.94    (6)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 183.99/28.94             e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.99/28.94           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.99/28.94             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.99/28.94           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 183.99/28.94           $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 183.99/28.94           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3
% 183.99/28.94           & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 183.99/28.94           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 183.99/28.94           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.99/28.94             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 183.99/28.94             e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.99/28.94           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 183.99/28.94  
% 183.99/28.94  Begin of proof
% 183.99/28.94  | 
% 183.99/28.94  | BETA: splitting (6) gives:
% 183.99/28.94  | 
% 183.99/28.94  | Case 1:
% 183.99/28.94  | | 
% 183.99/28.94  | |   (7)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0
% 183.99/28.94  | |          = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 =
% 183.99/28.94  | |          e2) & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 &
% 183.99/28.94  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 183.99/28.94  | |        e3 & op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 183.99/28.94  | |        e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 183.99/28.94  | |        $i(all_57_18) & $i(all_57_28)
% 183.99/28.94  | | 
% 183.99/28.94  | | ALPHA: (7) implies:
% 183.99/28.94  | |   (8)  op(e2, e3) = e3
% 183.99/28.94  | | 
% 183.99/28.94  | | REF_CLOSE: (3), (4), (5), (8) are inconsistent by sub-proof #286.
% 183.99/28.94  | | 
% 183.99/28.94  | Case 2:
% 183.99/28.94  | | 
% 183.99/28.94  | |   (9)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0
% 183.99/28.94  | |          = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0) &  ~ (all_57_28 =
% 183.99/28.94  | |          e1) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_18) = all_57_3 &
% 183.99/28.94  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 183.99/28.94  | |        all_57_16 & op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1, e3) =
% 183.99/28.94  | |        e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 183.99/28.94  | |        $i(all_57_18) & $i(all_57_28)
% 183.99/28.94  | | 
% 183.99/28.94  | | ALPHA: (9) implies:
% 183.99/28.94  | |   (10)  op(e1, e3) = e3
% 183.99/28.94  | | 
% 183.99/28.94  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #855.
% 183.99/28.94  | | 
% 183.99/28.94  | End of split
% 183.99/28.94  | 
% 183.99/28.94  End of proof
% 183.99/28.94  
% 183.99/28.94  Sub-proof #6 shows that the following formulas are inconsistent:
% 183.99/28.94  ----------------------------------------------------------------
% 183.99/28.94    (1)   ~ (all_52_9 = all_10_2)
% 183.99/28.94    (2)  op(e0, e3) = e3
% 183.99/28.94    (3)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 183.99/28.94    (4)   ~ (all_52_2 = e3)
% 183.99/28.94    (5)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 183.99/28.94         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 183.99/28.94    (6)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 183.99/28.94         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 183.99/28.94    (7)   ~ (all_52_7 = e3)
% 183.99/28.94    (8)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 183.99/28.94         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 183.99/28.94    (9)   ~ (all_52_6 = all_52_14)
% 183.99/28.94    (10)   ~ (all_52_1 = all_10_2)
% 183.99/28.94    (11)  op(e1, e3) = all_52_2
% 183.99/28.94    (12)  op(e2, e3) = all_57_19
% 183.99/28.94    (13)  op(e1, e0) = all_52_14
% 183.99/28.94    (14)   ~ (all_52_7 = all_10_2)
% 183.99/28.94    (15)  op(e1, e3) = all_57_22
% 183.99/28.94    (16)  op(e1, e1) = all_14_2
% 183.99/28.94    (17)  op(e0, e3) = all_57_25
% 183.99/28.94    (18)  op(e0, e1) = all_52_11
% 183.99/28.94    (19)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 183.99/28.94    (20)  op(e2, e1) = all_52_9
% 183.99/28.94    (21)  op(e3, e3) = all_57_28
% 183.99/28.94    (22)   ~ (all_10_2 = e0)
% 183.99/28.94    (23)  all_54_13 = all_52_7
% 183.99/28.94    (24)   ~ (all_52_6 = all_52_7)
% 183.99/28.94    (25)   ~ (all_52_4 = all_52_7)
% 183.99/28.94    (26)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 183.99/28.94    (27)  op(e2, e3) = all_52_1
% 183.99/28.94    (28)  all_54_4 = all_52_1
% 183.99/28.94    (29)   ~ (all_52_1 = all_52_2)
% 183.99/28.94    (30)   ~ (all_52_1 = e3)
% 183.99/28.94    (31)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.94            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.94    (32)  all_54_5 = all_10_2
% 183.99/28.94    (33)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 183.99/28.94    (34)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 183.99/28.94              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 183.99/28.94            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.99/28.94              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.99/28.94            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 183.99/28.94            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 183.99/28.94            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 183.99/28.94            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 183.99/28.94            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 183.99/28.94            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.99/28.94              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 183.99/28.94              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.99/28.94            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.99/28.94          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 183.99/28.94              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 183.99/28.94            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 183.99/28.94              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 183.99/28.94            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 183.99/28.94            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 183.99/28.94            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 183.99/28.94            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 183.99/28.94            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.99/28.94              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 183.99/28.94              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 183.99/28.94            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 183.99/28.94            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 183.99/28.94            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 183.99/28.94            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 183.99/28.94            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 183.99/28.94            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 183.99/28.94            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.99/28.94            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 183.99/28.94            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 183.99/28.94            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 183.99/28.94              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 183.99/28.94            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 183.99/28.94            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 183.99/28.94              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 183.99/28.94            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 183.99/28.94            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 183.99/28.94            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 183.99/28.94            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.99/28.94            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.99/28.94              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 183.99/28.94              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 183.99/28.94            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 183.99/28.94            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 183.99/28.94              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 183.99/28.94            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 183.99/28.94            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.99/28.94            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 183.99/28.94            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.99/28.94            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 183.99/28.94                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 183.99/28.94                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 183.99/28.94                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.99/28.94                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 183.99/28.94                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 183.99/28.94                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.99/28.94                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.99/28.94                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.99/28.94                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.99/28.94                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.99/28.94                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 183.99/28.94                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.99/28.94                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 183.99/28.94                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 183.99/28.94                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 183.99/28.94                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 183.99/28.94    (35)  all_54_8 = all_52_2
% 183.99/28.94    (36)   ~ (all_14_2 = e3)
% 183.99/28.94    (37)  op(e3, e3) = e0
% 183.99/28.94    (38)   ~ (all_52_1 = e0)
% 183.99/28.94    (39)   ~ (all_10_2 = e3)
% 183.99/28.94    (40)   ~ (all_57_19 = e2)
% 183.99/28.94    (41)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 183.99/28.94          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 183.99/28.94    (42)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 183.99/28.94          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 183.99/28.94    (43)  op(e3, e2) = all_52_4
% 183.99/28.94    (44)   ~ (all_52_2 = all_14_2)
% 183.99/28.94    (45)   ~ (all_52_2 = e0)
% 183.99/28.94    (46)  op(e1, e2) = all_52_6
% 183.99/28.94    (47)  op(e0, e2) = all_52_7
% 183.99/28.94    (48)   ~ (all_52_1 = all_52_9)
% 183.99/28.94    (49)   ~ (all_52_2 = all_52_14)
% 183.99/28.94    (50)  op(e2, e2) = all_10_2
% 183.99/28.94    (51)   ~ (all_57_22 = e1)
% 183.99/28.94    (52)   ~ (all_52_11 = e3)
% 183.99/28.94    (53)   ~ (all_52_7 = all_52_11)
% 183.99/28.94  
% 183.99/28.94  Begin of proof
% 183.99/28.94  | 
% 183.99/28.94  | GROUND_INST: instantiating (31) with e3, all_57_25, e3, e0, simplifying with
% 183.99/28.94  |              (2), (17) gives:
% 183.99/28.94  |   (54)  all_57_25 = e3
% 183.99/28.94  | 
% 183.99/28.94  | GROUND_INST: instantiating (31) with all_52_2, all_57_22, e3, e1, simplifying
% 183.99/28.94  |              with (11), (15) gives:
% 183.99/28.94  |   (55)  all_57_22 = all_52_2
% 183.99/28.94  | 
% 183.99/28.94  | GROUND_INST: instantiating (31) with all_52_1, all_57_19, e3, e2, simplifying
% 183.99/28.94  |              with (12), (27) gives:
% 183.99/28.94  |   (56)  all_57_19 = all_52_1
% 183.99/28.94  | 
% 183.99/28.94  | GROUND_INST: instantiating (31) with e0, all_57_28, e3, e3, simplifying with
% 183.99/28.94  |              (21), (37) gives:
% 183.99/28.94  |   (57)  all_57_28 = e0
% 183.99/28.94  | 
% 183.99/28.94  | REDUCE: (51), (55) imply:
% 183.99/28.94  |   (58)   ~ (all_52_2 = e1)
% 183.99/28.94  | 
% 183.99/28.94  | BETA: splitting (3) gives:
% 183.99/28.94  | 
% 183.99/28.94  | Case 1:
% 183.99/28.94  | | 
% 183.99/28.94  | |   (59)  all_54_4 = e3
% 183.99/28.94  | | 
% 183.99/28.94  | | COMBINE_EQS: (28), (59) imply:
% 183.99/28.94  | |   (60)  all_52_1 = e3
% 183.99/28.94  | | 
% 183.99/28.94  | | REDUCE: (30), (60) imply:
% 183.99/28.94  | |   (61)  $false
% 183.99/28.94  | | 
% 183.99/28.94  | | CLOSE: (61) is inconsistent.
% 183.99/28.94  | | 
% 183.99/28.94  | Case 2:
% 183.99/28.94  | | 
% 183.99/28.94  | |   (62)   ~ (all_54_4 = e3)
% 183.99/28.94  | |   (63)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 183.99/28.94  | | 
% 183.99/28.94  | | BETA: splitting (26) gives:
% 183.99/28.94  | | 
% 183.99/28.94  | | Case 1:
% 183.99/28.94  | | | 
% 183.99/28.94  | | |   (64)  all_54_8 = e3
% 183.99/28.94  | | | 
% 183.99/28.94  | | | REF_CLOSE: (4), (35), (64) are inconsistent by sub-proof #1243.
% 183.99/28.94  | | | 
% 183.99/28.94  | | Case 2:
% 183.99/28.94  | | | 
% 183.99/28.94  | | |   (65)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 183.99/28.94  | | | 
% 183.99/28.94  | | | BETA: splitting (65) gives:
% 183.99/28.94  | | | 
% 183.99/28.94  | | | Case 1:
% 183.99/28.94  | | | | 
% 183.99/28.94  | | | |   (66)  all_54_8 = e2
% 183.99/28.94  | | | | 
% 183.99/28.94  | | | | COMBINE_EQS: (35), (66) imply:
% 183.99/28.94  | | | |   (67)  all_52_2 = e2
% 183.99/28.94  | | | | 
% 183.99/28.94  | | | | SIMP: (67) implies:
% 183.99/28.94  | | | |   (68)  all_52_2 = e2
% 183.99/28.94  | | | | 
% 183.99/28.94  | | | | COMBINE_EQS: (55), (68) imply:
% 183.99/28.94  | | | |   (69)  all_57_22 = e2
% 183.99/28.94  | | | | 
% 183.99/28.94  | | | | REDUCE: (29), (68) imply:
% 183.99/28.94  | | | |   (70)   ~ (all_52_1 = e2)
% 183.99/28.94  | | | | 
% 183.99/28.94  | | | | REDUCE: (49), (68) imply:
% 183.99/28.94  | | | |   (71)   ~ (all_52_14 = e2)
% 183.99/28.94  | | | | 
% 183.99/28.94  | | | | SIMP: (71) implies:
% 183.99/28.94  | | | |   (72)   ~ (all_52_14 = e2)
% 183.99/28.94  | | | | 
% 183.99/28.94  | | | | REDUCE: (44), (68) imply:
% 183.99/28.94  | | | |   (73)   ~ (all_14_2 = e2)
% 183.99/28.94  | | | | 
% 183.99/28.94  | | | | SIMP: (73) implies:
% 183.99/28.94  | | | |   (74)   ~ (all_14_2 = e2)
% 183.99/28.94  | | | | 
% 183.99/28.94  | | | | REDUCE: (11), (68) imply:
% 183.99/28.94  | | | |   (75)  op(e1, e3) = e2
% 183.99/28.94  | | | | 
% 183.99/28.94  | | | | BETA: splitting (63) gives:
% 183.99/28.94  | | | | 
% 183.99/28.94  | | | | Case 1:
% 183.99/28.94  | | | | | 
% 183.99/28.94  | | | | |   (76)  all_54_4 = e2
% 183.99/28.94  | | | | | 
% 183.99/28.94  | | | | | COMBINE_EQS: (28), (76) imply:
% 183.99/28.94  | | | | |   (77)  all_52_1 = e2
% 183.99/28.94  | | | | | 
% 183.99/28.94  | | | | | REDUCE: (70), (77) imply:
% 183.99/28.94  | | | | |   (78)  $false
% 183.99/28.94  | | | | | 
% 183.99/28.94  | | | | | CLOSE: (78) is inconsistent.
% 183.99/28.94  | | | | | 
% 183.99/28.94  | | | | Case 2:
% 183.99/28.94  | | | | | 
% 183.99/28.94  | | | | |   (79)  all_54_4 = e1 | all_54_4 = e0
% 183.99/28.94  | | | | | 
% 183.99/28.94  | | | | | BETA: splitting (79) gives:
% 183.99/28.94  | | | | | 
% 183.99/28.94  | | | | | Case 1:
% 183.99/28.94  | | | | | | 
% 183.99/28.94  | | | | | |   (80)  all_54_4 = e1
% 183.99/28.94  | | | | | | 
% 183.99/28.94  | | | | | | COMBINE_EQS: (28), (80) imply:
% 183.99/28.94  | | | | | |   (81)  all_52_1 = e1
% 183.99/28.94  | | | | | | 
% 183.99/28.94  | | | | | | REDUCE: (48), (81) imply:
% 183.99/28.94  | | | | | |   (82)   ~ (all_52_9 = e1)
% 183.99/28.94  | | | | | | 
% 183.99/28.94  | | | | | | SIMP: (82) implies:
% 183.99/28.94  | | | | | |   (83)   ~ (all_52_9 = e1)
% 183.99/28.94  | | | | | | 
% 183.99/28.95  | | | | | | REDUCE: (10), (81) imply:
% 183.99/28.95  | | | | | |   (84)   ~ (all_10_2 = e1)
% 183.99/28.95  | | | | | | 
% 183.99/28.95  | | | | | | SIMP: (84) implies:
% 183.99/28.95  | | | | | |   (85)   ~ (all_10_2 = e1)
% 183.99/28.95  | | | | | | 
% 183.99/28.95  | | | | | | BETA: splitting (19) gives:
% 183.99/28.95  | | | | | | 
% 183.99/28.95  | | | | | | Case 1:
% 183.99/28.95  | | | | | | | 
% 183.99/28.95  | | | | | | |   (86)  all_54_5 = e3
% 183.99/28.95  | | | | | | | 
% 183.99/28.95  | | | | | | | REF_CLOSE: (32), (39), (86) are inconsistent by sub-proof #1268.
% 183.99/28.95  | | | | | | | 
% 183.99/28.95  | | | | | | Case 2:
% 183.99/28.95  | | | | | | | 
% 183.99/28.95  | | | | | | |   (87)   ~ (all_54_5 = e3)
% 183.99/28.95  | | | | | | |   (88)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 183.99/28.95  | | | | | | | 
% 183.99/28.95  | | | | | | | BETA: splitting (88) gives:
% 183.99/28.95  | | | | | | | 
% 183.99/28.95  | | | | | | | Case 1:
% 183.99/28.95  | | | | | | | | 
% 183.99/28.95  | | | | | | | |   (89)  all_54_5 = e2
% 183.99/28.95  | | | | | | | | 
% 183.99/28.95  | | | | | | | | COMBINE_EQS: (32), (89) imply:
% 183.99/28.95  | | | | | | | |   (90)  all_10_2 = e2
% 183.99/28.95  | | | | | | | | 
% 183.99/28.95  | | | | | | | | SIMP: (90) implies:
% 183.99/28.95  | | | | | | | |   (91)  all_10_2 = e2
% 183.99/28.95  | | | | | | | | 
% 183.99/28.95  | | | | | | | | REDUCE: (14), (91) imply:
% 183.99/28.95  | | | | | | | |   (92)   ~ (all_52_7 = e2)
% 183.99/28.95  | | | | | | | | 
% 183.99/28.95  | | | | | | | | REDUCE: (1), (91) imply:
% 183.99/28.95  | | | | | | | |   (93)   ~ (all_52_9 = e2)
% 183.99/28.95  | | | | | | | | 
% 183.99/28.95  | | | | | | | | REDUCE: (39), (91) imply:
% 183.99/28.95  | | | | | | | |   (94)   ~ (e3 = e2)
% 183.99/28.95  | | | | | | | | 
% 183.99/28.95  | | | | | | | | SIMP: (94) implies:
% 183.99/28.95  | | | | | | | |   (95)   ~ (e3 = e2)
% 183.99/28.95  | | | | | | | | 
% 183.99/28.95  | | | | | | | | REDUCE: (85), (91) imply:
% 183.99/28.95  | | | | | | | |   (96)   ~ (e2 = e1)
% 183.99/28.95  | | | | | | | | 
% 183.99/28.95  | | | | | | | | REDUCE: (50), (91) imply:
% 183.99/28.95  | | | | | | | |   (97)  op(e2, e2) = e2
% 183.99/28.95  | | | | | | | | 
% 183.99/28.95  | | | | | | | | BETA: splitting (34) gives:
% 183.99/28.95  | | | | | | | | 
% 183.99/28.95  | | | | | | | | Case 1:
% 183.99/28.95  | | | | | | | | | 
% 183.99/28.95  | | | | | | | | |   (98)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 =
% 183.99/28.95  | | | | | | | | |           e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~
% 183.99/28.95  | | | | | | | | |           (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 183.99/28.95  | | | | | | | | |             all_57_17) = all_57_2 & op(e3, all_57_18) =
% 183.99/28.95  | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3, e3)
% 183.99/28.95  | | | | | | | | |           = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 183.99/28.95  | | | | | | | | |           all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3
% 183.99/28.95  | | | | | | | | |           & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 183.99/28.95  | | | | | | | | |           $i(all_57_17) & $i(all_57_18) & $i(all_57_28)) |
% 183.99/28.95  | | | | | | | | |         (all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 =
% 183.99/28.95  | | | | | | | | |           e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 183.99/28.95  | | | | | | | | |           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 183.99/28.95  | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_18) =
% 183.99/28.95  | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3, e3)
% 183.99/28.95  | | | | | | | | |           = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) =
% 183.99/28.95  | | | | | | | | |           e3 & op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.99/28.95  | | | | | | | | |           $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.99/28.95  | | | | | | | | |           $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.99/28.95  | | | | | | | | |         (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 =
% 183.99/28.95  | | | | | | | | |           e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 183.99/28.95  | | | | | | | | |           (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 183.99/28.95  | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_17) =
% 183.99/28.95  | | | | | | | | |           all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3, e3)
% 183.99/28.95  | | | | | | | | |           = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) =
% 183.99/28.95  | | | | | | | | |           all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 183.99/28.95  | | | | | | | | |           $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 183.99/28.95  | | | | | | | | |           $i(all_57_16) & $i(all_57_17) & $i(all_57_28)) |
% 183.99/28.95  | | | | | | | | |         (all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 =
% 183.99/28.95  | | | | | | | | |           e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 183.99/28.95  | | | | | | | | |           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) =
% 183.99/28.95  | | | | | | | | |           e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.99/28.95  | | | | | | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) =
% 183.99/28.95  | | | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29
% 183.99/28.95  | | | | | | | | |           & op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 &
% 183.99/28.95  | | | | | | | | |           $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.99/28.95  | | | | | | | | |           $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.99/28.95  | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | BETA: splitting (98) gives:
% 183.99/28.95  | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | Case 1:
% 183.99/28.95  | | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | |   (99)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 =
% 183.99/28.95  | | | | | | | | | |           e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~
% 183.99/28.95  | | | | | | | | | |           (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 183.99/28.95  | | | | | | | | | |             all_57_17) = all_57_2 & op(e3, all_57_18) =
% 183.99/28.95  | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.99/28.95  | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 183.99/28.95  | | | | | | | | | |           all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 183.99/28.95  | | | | | | | | | |           e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 183.99/28.95  | | | | | | | | | |           $i(all_57_17) & $i(all_57_18) & $i(all_57_28)) |
% 183.99/28.95  | | | | | | | | | |         (all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 =
% 183.99/28.95  | | | | | | | | | |           e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 183.99/28.95  | | | | | | | | | |           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 183.99/28.95  | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_18) =
% 183.99/28.95  | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.99/28.95  | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.99/28.95  | | | | | | | | | |           op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 183.99/28.95  | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.99/28.95  | | | | | | | | | |           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 183.99/28.95  | | | | | | | | | |           $i(all_57_28))
% 183.99/28.95  | | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | | REF_CLOSE: (27), (30), (31), (75), (95), (99) are
% 183.99/28.95  | | | | | | | | | |            inconsistent by sub-proof #227.
% 183.99/28.95  | | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | Case 2:
% 183.99/28.95  | | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | |   (100)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.99/28.95  | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 183.99/28.95  | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 183.99/28.95  | | | | | | | | | |              all_57_16) = all_57_1 & op(e3, all_57_17) =
% 183.99/28.95  | | | | | | | | | |            all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.99/28.95  | | | | | | | | | |              e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.99/28.95  | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 183.99/28.95  | | | | | | | | | |              e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.99/28.95  | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.99/28.95  | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.99/28.95  | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.99/28.95  | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &
% 183.99/28.95  | | | | | | | | | |             ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.99/28.95  | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.99/28.95  | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.99/28.95  | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.99/28.95  | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 183.99/28.95  | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.99/28.95  | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.99/28.95  | | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | | REF_CLOSE: (12), (31), (37), (40), (100) are inconsistent by
% 183.99/28.95  | | | | | | | | | |            sub-proof #15.
% 183.99/28.95  | | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | End of split
% 183.99/28.95  | | | | | | | | | 
% 183.99/28.95  | | | | | | | | Case 2:
% 183.99/28.95  | | | | | | | | | 
% 183.99/28.95  | | | | | | | | |   (101)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 183.99/28.95  | | | | | | | | |            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 183.99/28.95  | | | | | | | | |            (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 183.99/28.95  | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 183.99/28.95  | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.99/28.95  | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 183.99/28.95  | | | | | | | | |              e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 183.99/28.95  | | | | | | | | |            e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 183.99/28.95  | | | | | | | | |            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) |
% 183.99/28.95  | | | | | | | | |          (all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 =
% 183.99/28.95  | | | | | | | | |            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 183.99/28.95  | | | | | | | | |            (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 183.99/28.95  | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_20) =
% 183.99/28.95  | | | | | | | | |            all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.99/28.95  | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 183.99/28.95  | | | | | | | | |              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) =
% 183.99/28.95  | | | | | | | | |            e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.99/28.95  | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.99/28.95  | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 183.99/28.95  | | | | | | | | |            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.99/28.95  | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3, e1)
% 183.99/28.95  | | | | | | | | |            = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.99/28.95  | | | | | | | | |              all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.99/28.95  | | | | | | | | |            all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.99/28.95  | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.99/28.95  | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.99/28.95  | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.99/28.95  | | | | | | | | |            $i(all_57_30)) | (all_57_9 = all_57_30 & all_57_20
% 183.99/28.95  | | | | | | | | |            = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.99/28.95  | | | | | | | | |            (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 183.99/28.95  | | | | | | | | |            (all_57_30 = e2) & op(e2, e1) = e1 & op(e1,
% 183.99/28.95  | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_24) =
% 183.99/28.95  | | | | | | | | |            all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.99/28.95  | | | | | | | | |              e3) = all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.99/28.95  | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 183.99/28.95  | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) &
% 183.99/28.95  | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (op(e0, e1) =
% 183.99/28.95  | | | | | | | | |            all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30
% 183.99/28.95  | | | | | | | | |                & all_57_24 = e1 & all_57_27 = e1 &  ~
% 183.99/28.95  | | | | | | | | |                (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~
% 183.99/28.95  | | | | | | | | |                (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 183.99/28.95  | | | | | | | | |                  all_57_22) = all_57_8 & op(e1, all_57_23) =
% 183.99/28.95  | | | | | | | | |                all_57_9 & op(e1, all_57_30) = all_57_10 &
% 183.99/28.95  | | | | | | | | |                op(e1, e3) = all_57_22 & op(e1, e2) = all_57_23
% 183.99/28.95  | | | | | | | | |                & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 183.99/28.95  | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.99/28.95  | | | | | | | | |                $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.99/28.95  | | | | | | | | |              | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 183.99/28.95  | | | | | | | | |                (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 183.99/28.95  | | | | | | | | |                  all_57_25) = all_57_12 & op(e0, all_57_26) =
% 183.99/28.95  | | | | | | | | |                all_57_13 & op(e0, all_57_27) = all_57_14 &
% 183.99/28.95  | | | | | | | | |                op(e0, all_57_31) = all_57_15 & op(e0, e3) =
% 183.99/28.95  | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.99/28.95  | | | | | | | | |                = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.99/28.95  | | | | | | | | |                $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.99/28.95  | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.99/28.95  | | | | | | | | |                  | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.99/28.95  | | | | | | | | |                      e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.99/28.95  | | | | | | | | |                    e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.99/28.95  | | | | | | | | |                    all_57_27 = e0 & op(e1, e0) = e0)))))
% 183.99/28.95  | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | BETA: splitting (101) gives:
% 183.99/28.95  | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | Case 1:
% 183.99/28.95  | | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | |   (102)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.99/28.95  | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 183.99/28.95  | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 183.99/28.95  | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 183.99/28.95  | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.99/28.95  | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 183.99/28.95  | | | | | | | | | |            op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 183.99/28.95  | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.99/28.95  | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.99/28.95  | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.99/28.95  | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.99/28.95  | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &
% 183.99/28.95  | | | | | | | | | |             ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.99/28.95  | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.99/28.95  | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.99/28.95  | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20
% 183.99/28.95  | | | | | | | | | |            & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.99/28.95  | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.99/28.95  | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.99/28.95  | | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | | REF_CLOSE: (20), (31), (47), (92), (93), (102) are
% 183.99/28.95  | | | | | | | | | |            inconsistent by sub-proof #225.
% 183.99/28.95  | | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | Case 2:
% 183.99/28.95  | | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | |   (103)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.99/28.95  | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &
% 183.99/28.95  | | | | | | | | | |             ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.99/28.95  | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.99/28.95  | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30)
% 183.99/28.95  | | | | | | | | | |            = all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.99/28.95  | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.99/28.95  | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.99/28.95  | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.99/28.95  | | | | | | | | | |            $i(all_57_30)) | (all_57_9 = all_57_30 &
% 183.99/28.95  | | | | | | | | | |            all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 =
% 183.99/28.95  | | | | | | | | | |              e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0)
% 183.99/28.95  | | | | | | | | | |            &  ~ (all_57_30 = e2) & op(e2, e1) = e1 & op(e1,
% 183.99/28.95  | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_24) =
% 183.99/28.95  | | | | | | | | | |            all_57_11 & op(e1, all_57_30) = all_57_10 &
% 183.99/28.95  | | | | | | | | | |            op(e1, e3) = all_57_22 & op(e1, e2) = e1 & op(e1,
% 183.99/28.95  | | | | | | | | | |              e1) = all_57_30 & op(e1, e0) = all_57_24 &
% 183.99/28.95  | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.99/28.95  | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.99/28.95  | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.99/28.95  | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.99/28.95  | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.99/28.95  | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.99/28.95  | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.99/28.95  | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.99/28.95  | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.99/28.95  | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.99/28.95  | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.99/28.95  | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.99/28.95  | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) &
% 183.99/28.95  | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.99/28.95  | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.99/28.95  | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 183.99/28.95  | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.99/28.95  | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 183.99/28.95  | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 183.99/28.95  | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.99/28.95  | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 183.99/28.95  | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) & $i(all_57_15)
% 183.99/28.95  | | | | | | | | | |                & $i(all_57_25) & $i(all_57_26) &
% 183.99/28.95  | | | | | | | | | |                $i(all_57_31) & (all_57_31 = e0 | (all_57_18
% 183.99/28.95  | | | | | | | | | |                    = e0 & all_57_25 = e0 & op(e3, e0) = e0)
% 183.99/28.95  | | | | | | | | | |                  | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 183.99/28.95  | | | | | | | | | |                      e0) = e0) | (all_57_24 = e0 & all_57_27
% 183.99/28.95  | | | | | | | | | |                    = e0 & op(e1, e0) = e0)))))
% 183.99/28.95  | | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | | BETA: splitting (103) gives:
% 183.99/28.95  | | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | | Case 1:
% 183.99/28.95  | | | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | | |   (104)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.99/28.95  | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.99/28.95  | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.99/28.95  | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.99/28.95  | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.99/28.95  | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.99/28.95  | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.99/28.95  | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.99/28.95  | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.99/28.95  | | | | | | | | | | |          $i(all_57_30)
% 183.99/28.95  | | | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | | | ALPHA: (104) implies:
% 183.99/28.95  | | | | | | | | | | |   (105)  op(e1, e3) = e1
% 183.99/28.95  | | | | | | | | | | | 
% 183.99/28.95  | | | | | | | | | | | REF_CLOSE: (11), (31), (58), (105) are inconsistent by
% 183.99/28.95  | | | | | | | | | | |            sub-proof #1597.
% 183.99/28.95  | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | Case 2:
% 183.99/28.96  | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | |   (106)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.99/28.96  | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.99/28.96  | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.99/28.96  | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.99/28.96  | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 183.99/28.96  | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 183.99/28.96  | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.99/28.96  | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 183.99/28.96  | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.99/28.96  | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.99/28.96  | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.99/28.96  | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.99/28.96  | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.99/28.96  | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.99/28.96  | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.99/28.96  | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.99/28.96  | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.99/28.96  | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.99/28.96  | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.99/28.96  | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.99/28.96  | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 183.99/28.96  | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.99/28.96  | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.99/28.96  | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 183.99/28.96  | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.99/28.96  | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 183.99/28.96  | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 183.99/28.96  | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.99/28.96  | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 183.99/28.96  | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 183.99/28.96  | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 183.99/28.96  | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.99/28.96  | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.99/28.96  | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.99/28.96  | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.99/28.96  | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.99/28.96  | | | | | | | | | | |                      e0) = e0)))))
% 183.99/28.96  | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | BETA: splitting (106) gives:
% 183.99/28.96  | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | Case 1:
% 183.99/28.96  | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | |   (107)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.99/28.96  | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.99/28.96  | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.99/28.96  | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.99/28.96  | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.99/28.96  | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.99/28.96  | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.99/28.96  | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.99/28.96  | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.99/28.96  | | | | | | | | | | | |          $i(all_57_30)
% 183.99/28.96  | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | ALPHA: (107) implies:
% 183.99/28.96  | | | | | | | | | | | |   (108)  op(e2, e1) = e1
% 183.99/28.96  | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | REF_CLOSE: (20), (31), (83), (108) are inconsistent by
% 183.99/28.96  | | | | | | | | | | | |            sub-proof #1610.
% 183.99/28.96  | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | Case 2:
% 183.99/28.96  | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | |   (109)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.99/28.96  | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.99/28.96  | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.99/28.96  | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.99/28.96  | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 183.99/28.96  | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.99/28.96  | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.99/28.96  | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.99/28.96  | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 183.99/28.96  | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.99/28.96  | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.99/28.96  | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.99/28.96  | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.99/28.96  | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 183.99/28.96  | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.99/28.96  | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.99/28.96  | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.99/28.96  | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 183.99/28.96  | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.99/28.96  | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 183.99/28.96  | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.99/28.96  | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.99/28.96  | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.99/28.96  | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 183.99/28.96  | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.99/28.96  | | | | | | | | | | | |                    e0) = e0))))
% 183.99/28.96  | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | ALPHA: (109) implies:
% 183.99/28.96  | | | | | | | | | | | |   (110)  op(e0, e1) = all_57_27
% 183.99/28.96  | | | | | | | | | | | |   (111)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.99/28.96  | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.99/28.96  | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.99/28.96  | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.99/28.96  | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.99/28.96  | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 183.99/28.96  | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.99/28.96  | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.99/28.96  | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.99/28.96  | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.99/28.96  | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.99/28.96  | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.99/28.96  | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.99/28.96  | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 183.99/28.96  | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 183.99/28.96  | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.99/28.96  | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.99/28.96  | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.99/28.96  | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.99/28.96  | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.99/28.96  | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.99/28.96  | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.99/28.96  | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 183.99/28.96  | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | BETA: splitting (111) gives:
% 183.99/28.96  | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | Case 1:
% 183.99/28.96  | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | |   (112)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 183.99/28.96  | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 183.99/28.96  | | | | | | | | | | | | |          ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 183.99/28.96  | | | | | | | | | | | | |            all_57_22) = all_57_8 & op(e1, all_57_23) =
% 183.99/28.96  | | | | | | | | | | | | |          all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.99/28.96  | | | | | | | | | | | | |            e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 183.99/28.96  | | | | | | | | | | | | |          op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 183.99/28.96  | | | | | | | | | | | | |          $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.99/28.96  | | | | | | | | | | | | |          $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 183.99/28.96  | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | ALPHA: (112) implies:
% 183.99/28.96  | | | | | | | | | | | | |   (113)  all_57_27 = e1
% 183.99/28.96  | | | | | | | | | | | | |   (114)   ~ (all_57_8 = e3)
% 183.99/28.96  | | | | | | | | | | | | |   (115)  op(e1, e0) = e1
% 183.99/28.96  | | | | | | | | | | | | |   (116)  op(e1, e2) = all_57_23
% 183.99/28.96  | | | | | | | | | | | | |   (117)  op(e1, all_57_22) = all_57_8
% 183.99/28.96  | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | REDUCE: (69), (117) imply:
% 183.99/28.96  | | | | | | | | | | | | |   (118)  op(e1, e2) = all_57_8
% 183.99/28.96  | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | REDUCE: (110), (113) imply:
% 183.99/28.96  | | | | | | | | | | | | |   (119)  op(e0, e1) = e1
% 183.99/28.96  | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | BETA: splitting (42) gives:
% 183.99/28.96  | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | Case 1:
% 183.99/28.96  | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | |   (120)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 183.99/28.96  | | | | | | | | | | | | | |            & op(e2, e1) = e2)
% 183.99/28.96  | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | BETA: splitting (120) gives:
% 183.99/28.96  | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | Case 1:
% 183.99/28.96  | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | |   (121)  all_56_4 = e2 & op(e3, e1) = e2
% 183.99/28.96  | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | ALPHA: (121) implies:
% 183.99/28.96  | | | | | | | | | | | | | | |   (122)  all_56_4 = e2
% 183.99/28.96  | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | BETA: splitting (8) gives:
% 183.99/28.96  | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | Case 1:
% 183.99/28.96  | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | |   (123)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 183.99/28.96  | | | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 183.99/28.96  | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 183.99/28.96  | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | Case 1:
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | |   (124)  all_56_4 = e3 & op(e3, e1) = e3
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | REF_CLOSE: (95), (122), (124) are inconsistent by sub-proof
% 183.99/28.96  | | | | | | | | | | | | | | | | |            #1381.
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | Case 2:
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | |   (125)  all_56_5 = e3 & op(e2, e1) = e3
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | ALPHA: (125) implies:
% 183.99/28.96  | | | | | | | | | | | | | | | | |   (126)  op(e2, e1) = e3
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_52_11, e1, e1, e0,
% 183.99/28.96  | | | | | | | | | | | | | | | | |              simplifying with (18), (119) gives:
% 183.99/28.96  | | | | | | | | | | | | | | | | |   (127)  all_52_11 = e1
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_52_14, e1, e0, e1,
% 183.99/28.96  | | | | | | | | | | | | | | | | |              simplifying with (13), (115) gives:
% 183.99/28.96  | | | | | | | | | | | | | | | | |   (128)  all_52_14 = e1
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_52_6, all_57_8, e2,
% 183.99/28.96  | | | | | | | | | | | | | | | | |              e1, simplifying with (46), (118) gives:
% 183.99/28.96  | | | | | | | | | | | | | | | | |   (129)  all_57_8 = all_52_6
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_57_23, all_57_8, e2,
% 183.99/28.96  | | | | | | | | | | | | | | | | |              e1, simplifying with (116), (118) gives:
% 183.99/28.96  | | | | | | | | | | | | | | | | |   (130)  all_57_8 = all_57_23
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_52_9, e3, e1, e2,
% 183.99/28.96  | | | | | | | | | | | | | | | | |              simplifying with (20), (126) gives:
% 183.99/28.96  | | | | | | | | | | | | | | | | |   (131)  all_52_9 = e3
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | COMBINE_EQS: (129), (130) imply:
% 183.99/28.96  | | | | | | | | | | | | | | | | |   (132)  all_57_23 = all_52_6
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | REDUCE: (114), (129) imply:
% 183.99/28.96  | | | | | | | | | | | | | | | | |   (133)   ~ (all_52_6 = e3)
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | REDUCE: (9), (128) imply:
% 183.99/28.96  | | | | | | | | | | | | | | | | |   (134)   ~ (all_52_6 = e1)
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | REDUCE: (53), (127) imply:
% 183.99/28.96  | | | | | | | | | | | | | | | | |   (135)   ~ (all_52_7 = e1)
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | REDUCE: (52), (127) imply:
% 183.99/28.96  | | | | | | | | | | | | | | | | |   (136)   ~ (e3 = e1)
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | SIMP: (136) implies:
% 183.99/28.96  | | | | | | | | | | | | | | | | |   (137)   ~ (e3 = e1)
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | REDUCE: (72), (128) imply:
% 183.99/28.96  | | | | | | | | | | | | | | | | |   (138)   ~ (e2 = e1)
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | BETA: splitting (6) gives:
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | Case 1:
% 183.99/28.96  | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | |   (139)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 183.99/28.96  | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 183.99/28.96  | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 183.99/28.96  | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | Case 1:
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | |   (140)  all_56_1 = e1 & op(e3, e2) = e1
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | ALPHA: (140) implies:
% 183.99/28.96  | | | | | | | | | | | | | | | | | | |   (141)  op(e3, e2) = e1
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | BETA: splitting (5) gives:
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | |   (142)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (95), (97), (137), (141), (142) are
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1433.
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | |   (143)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | BETA: splitting (143) gives:
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | |   (144)  all_56_7 = e3 & op(e1, e2) = e3
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (46), (133), (144) are inconsistent by
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | |            sub-proof #990.
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | |   (145)  all_56_13 = e3 & op(e0, e2) = e3
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (23), (24), (25), (31), (33), (41), (43),
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | |            (46), (92), (97), (135), (145) are inconsistent by
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | |            sub-proof #895.
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | End of split
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | End of split
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | Case 2:
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | |   (146)  all_56_3 = e1 & op(e2, e2) = e1
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | ALPHA: (146) implies:
% 183.99/28.96  | | | | | | | | | | | | | | | | | | |   (147)  op(e2, e2) = e1
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (96), (97), (147) are inconsistent by
% 183.99/28.96  | | | | | | | | | | | | | | | | | | |            sub-proof #1487.
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | End of split
% 183.99/28.96  | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | Case 2:
% 183.99/28.96  | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | |   (148)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 183.99/28.96  | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 183.99/28.96  | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 183.99/28.96  | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | Case 1:
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | |   (149)  all_56_7 = e1 & op(e1, e2) = e1
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | ALPHA: (149) implies:
% 183.99/28.96  | | | | | | | | | | | | | | | | | | |   (150)  op(e1, e2) = e1
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (46), (134), (150) are inconsistent by
% 183.99/28.96  | | | | | | | | | | | | | | | | | | |            sub-proof #834.
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | Case 2:
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | |   (151)  all_56_13 = e1 & op(e0, e2) = e1
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | ALPHA: (151) implies:
% 183.99/28.96  | | | | | | | | | | | | | | | | | | |   (152)  op(e0, e2) = e1
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (47), (135), (152) are inconsistent by
% 183.99/28.96  | | | | | | | | | | | | | | | | | | |            sub-proof #841.
% 183.99/28.96  | | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | | End of split
% 183.99/28.96  | | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | End of split
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | End of split
% 183.99/28.96  | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | Case 2:
% 183.99/28.96  | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | |   (153)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 183.99/28.96  | | | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 183.99/28.96  | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 183.99/28.96  | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | Case 1:
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | |   (154)  all_56_8 = e3 & op(e1, e1) = e3
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | ALPHA: (154) implies:
% 183.99/28.96  | | | | | | | | | | | | | | | | |   (155)  op(e1, e1) = e3
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (31), (36), (155) are inconsistent by
% 183.99/28.96  | | | | | | | | | | | | | | | | |            sub-proof #181.
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | Case 2:
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | |   (156)  all_56_14 = e3 & op(e0, e1) = e3
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (31), (52), (156) are inconsistent by
% 183.99/28.96  | | | | | | | | | | | | | | | | |            sub-proof #176.
% 183.99/28.96  | | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | | End of split
% 183.99/28.96  | | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | End of split
% 183.99/28.96  | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | Case 2:
% 183.99/28.96  | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | |   (157)  all_56_5 = e2 & op(e2, e1) = e2
% 183.99/28.96  | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | ALPHA: (157) implies:
% 183.99/28.96  | | | | | | | | | | | | | | |   (158)  op(e2, e1) = e2
% 183.99/28.96  | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | REF_CLOSE: (20), (31), (93), (158) are inconsistent by
% 183.99/28.96  | | | | | | | | | | | | | | |            sub-proof #226.
% 183.99/28.96  | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | End of split
% 183.99/28.96  | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | Case 2:
% 183.99/28.96  | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | |   (159)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 183.99/28.96  | | | | | | | | | | | | | |            e2 & op(e0, e1) = e2)
% 183.99/28.96  | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 183.99/28.96  | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | Case 1:
% 183.99/28.96  | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | |   (160)  all_56_8 = e2 & op(e1, e1) = e2
% 183.99/28.96  | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | ALPHA: (160) implies:
% 183.99/28.96  | | | | | | | | | | | | | | |   (161)  op(e1, e1) = e2
% 183.99/28.96  | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | REF_CLOSE: (16), (31), (74), (161) are inconsistent by
% 183.99/28.96  | | | | | | | | | | | | | | |            sub-proof #422.
% 183.99/28.96  | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | Case 2:
% 183.99/28.96  | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | |   (162)  all_56_14 = e2 & op(e0, e1) = e2
% 183.99/28.96  | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | ALPHA: (162) implies:
% 183.99/28.96  | | | | | | | | | | | | | | |   (163)  op(e0, e1) = e2
% 183.99/28.96  | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | | REF_CLOSE: (31), (96), (119), (163) are inconsistent by
% 183.99/28.96  | | | | | | | | | | | | | | |            sub-proof #862.
% 183.99/28.96  | | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | | End of split
% 183.99/28.96  | | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | End of split
% 183.99/28.96  | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | Case 2:
% 183.99/28.96  | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | |   (164)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 183.99/28.96  | | | | | | | | | | | | |          (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 183.99/28.96  | | | | | | | | | | | | |            all_57_25) = all_57_12 & op(e0, all_57_26) =
% 183.99/28.96  | | | | | | | | | | | | |          all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 183.99/28.96  | | | | | | | | | | | | |            all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 183.99/28.96  | | | | | | | | | | | | |          & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 183.99/28.96  | | | | | | | | | | | | |          & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.99/28.96  | | | | | | | | | | | | |          $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.99/28.96  | | | | | | | | | | | | |          $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 183.99/28.96  | | | | | | | | | | | | |              & all_57_25 = e0 & op(e3, e0) = e0) |
% 183.99/28.96  | | | | | | | | | | | | |            (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.99/28.96  | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 183.99/28.96  | | | | | | | | | | | | |              op(e1, e0) = e0))
% 183.99/28.96  | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | ALPHA: (164) implies:
% 183.99/28.96  | | | | | | | | | | | | |   (165)   ~ (all_57_12 = e3)
% 183.99/28.96  | | | | | | | | | | | | |   (166)  op(e0, all_57_25) = all_57_12
% 183.99/28.96  | | | | | | | | | | | | | 
% 183.99/28.96  | | | | | | | | | | | | | REF_CLOSE: (17), (31), (54), (165), (166) are inconsistent by
% 183.99/28.96  | | | | | | | | | | | | |            sub-proof #178.
% 183.99/28.97  | | | | | | | | | | | | | 
% 183.99/28.97  | | | | | | | | | | | | End of split
% 183.99/28.97  | | | | | | | | | | | | 
% 183.99/28.97  | | | | | | | | | | | End of split
% 183.99/28.97  | | | | | | | | | | | 
% 183.99/28.97  | | | | | | | | | | End of split
% 183.99/28.97  | | | | | | | | | | 
% 183.99/28.97  | | | | | | | | | End of split
% 183.99/28.97  | | | | | | | | | 
% 183.99/28.97  | | | | | | | | End of split
% 183.99/28.97  | | | | | | | | 
% 183.99/28.97  | | | | | | | Case 2:
% 183.99/28.97  | | | | | | | | 
% 183.99/28.97  | | | | | | | |   (167)  all_54_5 = e1 | all_54_5 = e0
% 183.99/28.97  | | | | | | | | 
% 183.99/28.97  | | | | | | | | REF_CLOSE: (22), (32), (85), (167) are inconsistent by sub-proof
% 183.99/28.97  | | | | | | | |            #1353.
% 183.99/28.97  | | | | | | | | 
% 183.99/28.97  | | | | | | | End of split
% 183.99/28.97  | | | | | | | 
% 183.99/28.97  | | | | | | End of split
% 183.99/28.97  | | | | | | 
% 183.99/28.97  | | | | | Case 2:
% 183.99/28.97  | | | | | | 
% 183.99/28.97  | | | | | |   (168)  all_54_4 = e0
% 183.99/28.97  | | | | | | 
% 183.99/28.97  | | | | | | COMBINE_EQS: (28), (168) imply:
% 183.99/28.97  | | | | | |   (169)  all_52_1 = e0
% 183.99/28.97  | | | | | | 
% 183.99/28.97  | | | | | | REDUCE: (38), (169) imply:
% 183.99/28.97  | | | | | |   (170)  $false
% 183.99/28.97  | | | | | | 
% 183.99/28.97  | | | | | | CLOSE: (170) is inconsistent.
% 183.99/28.97  | | | | | | 
% 183.99/28.97  | | | | | End of split
% 183.99/28.97  | | | | | 
% 183.99/28.97  | | | | End of split
% 183.99/28.97  | | | | 
% 183.99/28.97  | | | Case 2:
% 183.99/28.97  | | | | 
% 183.99/28.97  | | | |   (171)  all_54_8 = e1 | all_54_8 = e0
% 183.99/28.97  | | | | 
% 183.99/28.97  | | | | REF_CLOSE: (35), (45), (58), (171) are inconsistent by sub-proof #1079.
% 183.99/28.97  | | | | 
% 183.99/28.97  | | | End of split
% 183.99/28.97  | | | 
% 183.99/28.97  | | End of split
% 183.99/28.97  | | 
% 183.99/28.97  | End of split
% 183.99/28.97  | 
% 183.99/28.97  End of proof
% 183.99/28.97  
% 183.99/28.97  Sub-proof #7 shows that the following formulas are inconsistent:
% 183.99/28.97  ----------------------------------------------------------------
% 183.99/28.97    (1)   ~ (e3 = e0)
% 183.99/28.97    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.97    (3)  op(e3, e3) = e0
% 183.99/28.97    (4)   ~ (all_10_2 = e3)
% 183.99/28.97    (5)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 183.99/28.97    (6)  op(e2, e2) = all_10_2
% 183.99/28.97  
% 183.99/28.97  Begin of proof
% 183.99/28.97  | 
% 183.99/28.97  | BETA: splitting (5) gives:
% 183.99/28.97  | 
% 183.99/28.97  | Case 1:
% 183.99/28.97  | | 
% 183.99/28.97  | |   (7)  all_57_28 = e3 & op(e3, e3) = e3
% 183.99/28.97  | | 
% 183.99/28.97  | | ALPHA: (7) implies:
% 183.99/28.97  | |   (8)  op(e3, e3) = e3
% 183.99/28.97  | | 
% 183.99/28.97  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #55.
% 183.99/28.97  | | 
% 183.99/28.97  | Case 2:
% 183.99/28.97  | | 
% 183.99/28.97  | |   (9)  all_57_29 = e3 & op(e2, e2) = e3
% 183.99/28.97  | | 
% 183.99/28.97  | | ALPHA: (9) implies:
% 183.99/28.97  | |   (10)  op(e2, e2) = e3
% 183.99/28.97  | | 
% 183.99/28.97  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #183.
% 183.99/28.97  | | 
% 183.99/28.97  | End of split
% 183.99/28.97  | 
% 183.99/28.97  End of proof
% 183.99/28.97  
% 183.99/28.97  Sub-proof #8 shows that the following formulas are inconsistent:
% 183.99/28.97  ----------------------------------------------------------------
% 183.99/28.97    (1)  all_54_1 = e1 | all_54_1 = e0
% 183.99/28.97    (2)  all_54_1 = all_50_1
% 183.99/28.97    (3)   ~ (all_50_1 = e1)
% 183.99/28.97    (4)   ~ (all_50_1 = e0)
% 183.99/28.97  
% 183.99/28.97  Begin of proof
% 183.99/28.97  | 
% 183.99/28.97  | BETA: splitting (1) gives:
% 183.99/28.97  | 
% 183.99/28.97  | Case 1:
% 183.99/28.97  | | 
% 183.99/28.97  | |   (5)  all_54_1 = e1
% 183.99/28.97  | | 
% 183.99/28.97  | | COMBINE_EQS: (2), (5) imply:
% 183.99/28.97  | |   (6)  all_50_1 = e1
% 183.99/28.97  | | 
% 183.99/28.97  | | SIMP: (6) implies:
% 183.99/28.97  | |   (7)  all_50_1 = e1
% 183.99/28.97  | | 
% 183.99/28.97  | | REDUCE: (3), (7) imply:
% 183.99/28.97  | |   (8)  $false
% 183.99/28.97  | | 
% 183.99/28.97  | | CLOSE: (8) is inconsistent.
% 183.99/28.97  | | 
% 183.99/28.97  | Case 2:
% 183.99/28.97  | | 
% 183.99/28.97  | |   (9)  all_54_1 = e0
% 183.99/28.97  | | 
% 183.99/28.97  | | COMBINE_EQS: (2), (9) imply:
% 183.99/28.97  | |   (10)  all_50_1 = e0
% 183.99/28.97  | | 
% 183.99/28.97  | | SIMP: (10) implies:
% 183.99/28.97  | |   (11)  all_50_1 = e0
% 183.99/28.97  | | 
% 183.99/28.97  | | REDUCE: (4), (11) imply:
% 183.99/28.97  | |   (12)  $false
% 183.99/28.97  | | 
% 183.99/28.97  | | CLOSE: (12) is inconsistent.
% 183.99/28.97  | | 
% 183.99/28.97  | End of split
% 183.99/28.97  | 
% 183.99/28.97  End of proof
% 183.99/28.97  
% 183.99/28.97  Sub-proof #9 shows that the following formulas are inconsistent:
% 183.99/28.97  ----------------------------------------------------------------
% 183.99/28.97    (1)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 183.99/28.97             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.99/28.97           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 183.99/28.97             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 183.99/28.97           all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 183.99/28.97           & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 183.99/28.97           $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2
% 183.99/28.97           & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 183.99/28.97           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.99/28.97             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 183.99/28.97             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 183.99/28.97           op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 183.99/28.97           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 183.99/28.97           $i(all_57_29))
% 183.99/28.97    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.97    (3)  op(e3, e3) = e0
% 183.99/28.97    (4)  op(e2, e2) = e3
% 183.99/28.97  
% 183.99/28.97  Begin of proof
% 183.99/28.97  | 
% 183.99/28.97  | BETA: splitting (1) gives:
% 183.99/28.97  | 
% 183.99/28.97  | Case 1:
% 183.99/28.97  | | 
% 183.99/28.97  | |   (5)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0
% 183.99/28.97  | |          = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 =
% 183.99/28.97  | |          e0) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 &
% 183.99/28.97  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 183.99/28.97  | |        all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) =
% 183.99/28.97  | |        e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 183.99/28.97  | |        $i(all_57_17) & $i(all_57_28)
% 183.99/28.97  | | 
% 183.99/28.97  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #25.
% 183.99/28.97  | | 
% 183.99/28.97  | Case 2:
% 183.99/28.97  | | 
% 183.99/28.97  | |   (6)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5
% 183.99/28.97  | |          = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 183.99/28.97  | |          e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.99/28.97  | |          all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) =
% 183.99/28.97  | |        e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 183.99/28.97  | |        all_57_21 & $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.99/28.97  | |        $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 183.99/28.97  | | 
% 183.99/28.97  | | ALPHA: (6) implies:
% 183.99/28.97  | |   (7)   ~ (all_57_29 = e3)
% 183.99/28.97  | |   (8)  op(e2, e2) = all_57_29
% 183.99/28.97  | | 
% 183.99/28.97  | | REF_CLOSE: (2), (4), (7), (8) are inconsistent by sub-proof #130.
% 183.99/28.97  | | 
% 183.99/28.97  | End of split
% 183.99/28.97  | 
% 183.99/28.97  End of proof
% 183.99/28.97  
% 183.99/28.97  Sub-proof #10 shows that the following formulas are inconsistent:
% 183.99/28.97  ----------------------------------------------------------------
% 183.99/28.97    (1)   ~ (e3 = e0)
% 183.99/28.97    (2)  op(e2, e2) = e3
% 183.99/28.97    (3)  op(e2, e3) = all_52_1
% 183.99/28.97    (4)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 183.99/28.97    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.97    (6)   ~ (all_52_1 = e0)
% 183.99/28.97  
% 183.99/28.97  Begin of proof
% 183.99/28.97  | 
% 183.99/28.97  | BETA: splitting (4) gives:
% 183.99/28.97  | 
% 183.99/28.97  | Case 1:
% 183.99/28.97  | | 
% 183.99/28.97  | |   (7)  all_56_2 = e0 & op(e2, e3) = e0
% 183.99/28.97  | | 
% 183.99/28.97  | | REF_CLOSE: (3), (5), (6), (7) are inconsistent by sub-proof #930.
% 183.99/28.97  | | 
% 183.99/28.97  | Case 2:
% 183.99/28.97  | | 
% 183.99/28.97  | |   (8)  all_56_3 = e0 & op(e2, e2) = e0
% 183.99/28.97  | | 
% 183.99/28.97  | | ALPHA: (8) implies:
% 183.99/28.97  | |   (9)  op(e2, e2) = e0
% 183.99/28.97  | | 
% 183.99/28.97  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1015.
% 183.99/28.97  | | 
% 183.99/28.97  | End of split
% 183.99/28.97  | 
% 183.99/28.97  End of proof
% 183.99/28.97  
% 183.99/28.97  Sub-proof #11 shows that the following formulas are inconsistent:
% 183.99/28.97  ----------------------------------------------------------------
% 183.99/28.97    (1)   ~ (e1 = e0)
% 183.99/28.97    (2)  op(e2, e2) = e3
% 183.99/28.97    (3)   ~ (e3 = e1)
% 183.99/28.97    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.97    (5)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 183.99/28.97    (6)  op(e3, e3) = e0
% 183.99/28.97  
% 183.99/28.97  Begin of proof
% 183.99/28.97  | 
% 183.99/28.97  | BETA: splitting (5) gives:
% 183.99/28.97  | 
% 183.99/28.97  | Case 1:
% 183.99/28.97  | | 
% 183.99/28.97  | |   (7)  all_57_28 = e1 & op(e3, e3) = e1
% 183.99/28.97  | | 
% 183.99/28.97  | | ALPHA: (7) implies:
% 183.99/28.97  | |   (8)  op(e3, e3) = e1
% 183.99/28.97  | | 
% 183.99/28.97  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #49.
% 183.99/28.97  | | 
% 183.99/28.97  | Case 2:
% 183.99/28.97  | | 
% 183.99/28.97  | |   (9)  all_57_29 = e1 & op(e2, e2) = e1
% 183.99/28.97  | | 
% 183.99/28.97  | | ALPHA: (9) implies:
% 183.99/28.97  | |   (10)  op(e2, e2) = e1
% 183.99/28.97  | | 
% 183.99/28.97  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1347.
% 183.99/28.97  | | 
% 183.99/28.97  | End of split
% 183.99/28.97  | 
% 183.99/28.97  End of proof
% 183.99/28.97  
% 183.99/28.97  Sub-proof #12 shows that the following formulas are inconsistent:
% 183.99/28.97  ----------------------------------------------------------------
% 183.99/28.97    (1)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 183.99/28.97    (2)  op(e2, e2) = e3
% 183.99/28.97    (3)   ~ (e2 = e0)
% 183.99/28.97    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.97    (5)  op(e3, e3) = e0
% 183.99/28.97    (6)   ~ (e3 = e2)
% 183.99/28.97  
% 183.99/28.97  Begin of proof
% 183.99/28.97  | 
% 183.99/28.97  | BETA: splitting (1) gives:
% 183.99/28.97  | 
% 183.99/28.97  | Case 1:
% 183.99/28.97  | | 
% 183.99/28.97  | |   (7)  all_57_28 = e2 & op(e3, e3) = e2
% 183.99/28.97  | | 
% 183.99/28.97  | | ALPHA: (7) implies:
% 183.99/28.97  | |   (8)  op(e3, e3) = e2
% 183.99/28.97  | | 
% 183.99/28.97  | | REF_CLOSE: (3), (4), (5), (8) are inconsistent by sub-proof #50.
% 183.99/28.97  | | 
% 183.99/28.97  | Case 2:
% 183.99/28.97  | | 
% 183.99/28.97  | |   (9)  all_57_29 = e2 & op(e2, e2) = e2
% 183.99/28.97  | | 
% 183.99/28.97  | | ALPHA: (9) implies:
% 183.99/28.97  | |   (10)  op(e2, e2) = e2
% 183.99/28.97  | | 
% 183.99/28.97  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1602.
% 183.99/28.97  | | 
% 183.99/28.97  | End of split
% 183.99/28.97  | 
% 183.99/28.97  End of proof
% 183.99/28.97  
% 183.99/28.97  Sub-proof #13 shows that the following formulas are inconsistent:
% 183.99/28.97  ----------------------------------------------------------------
% 183.99/28.97    (1)  all_54_1 = all_50_1
% 183.99/28.97    (2)  all_54_1 = e3
% 183.99/28.97    (3)   ~ (all_50_1 = e3)
% 183.99/28.97  
% 183.99/28.97  Begin of proof
% 183.99/28.97  | 
% 183.99/28.97  | COMBINE_EQS: (1), (2) imply:
% 183.99/28.97  |   (4)  all_50_1 = e3
% 183.99/28.97  | 
% 183.99/28.97  | SIMP: (4) implies:
% 183.99/28.97  |   (5)  all_50_1 = e3
% 183.99/28.97  | 
% 183.99/28.97  | REDUCE: (3), (5) imply:
% 183.99/28.97  |   (6)  $false
% 183.99/28.97  | 
% 183.99/28.97  | CLOSE: (6) is inconsistent.
% 183.99/28.97  | 
% 183.99/28.97  End of proof
% 183.99/28.97  
% 183.99/28.97  Sub-proof #14 shows that the following formulas are inconsistent:
% 183.99/28.97  ----------------------------------------------------------------
% 183.99/28.97    (1)  all_56_12 = e0 & op(e0, e3) = e0
% 183.99/28.97    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.97    (3)  op(e0, e3) = all_52_3
% 183.99/28.97    (4)   ~ (all_52_3 = e0)
% 183.99/28.97  
% 183.99/28.97  Begin of proof
% 183.99/28.97  | 
% 183.99/28.97  | ALPHA: (1) implies:
% 183.99/28.97  |   (5)  op(e0, e3) = e0
% 183.99/28.97  | 
% 183.99/28.97  | GROUND_INST: instantiating (2) with all_52_3, e0, e3, e0, simplifying with
% 183.99/28.97  |              (3), (5) gives:
% 183.99/28.97  |   (6)  all_52_3 = e0
% 183.99/28.97  | 
% 183.99/28.97  | REDUCE: (4), (6) imply:
% 183.99/28.97  |   (7)  $false
% 183.99/28.97  | 
% 183.99/28.97  | CLOSE: (7) is inconsistent.
% 183.99/28.97  | 
% 183.99/28.97  End of proof
% 183.99/28.97  
% 183.99/28.97  Sub-proof #15 shows that the following formulas are inconsistent:
% 183.99/28.97  ----------------------------------------------------------------
% 183.99/28.97    (1)  op(e2, e3) = all_57_19
% 183.99/28.97    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.97    (3)  op(e3, e3) = e0
% 183.99/28.97    (4)   ~ (all_57_19 = e2)
% 183.99/28.97    (5)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 183.99/28.97             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.99/28.97           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 183.99/28.97             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 183.99/28.97           all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 183.99/28.97           & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 183.99/28.97           $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2
% 183.99/28.97           & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 183.99/28.97           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.99/28.97             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 183.99/28.97             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 183.99/28.97           op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 183.99/28.97           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 183.99/28.97           $i(all_57_29))
% 183.99/28.97  
% 183.99/28.97  Begin of proof
% 183.99/28.97  | 
% 183.99/28.97  | BETA: splitting (5) gives:
% 183.99/28.97  | 
% 183.99/28.97  | Case 1:
% 183.99/28.97  | | 
% 183.99/28.98  | |   (6)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0
% 183.99/28.98  | |          = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 =
% 183.99/28.98  | |          e0) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 &
% 183.99/28.98  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 183.99/28.98  | |        all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) =
% 183.99/28.98  | |        e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 183.99/28.98  | |        $i(all_57_17) & $i(all_57_28)
% 183.99/28.98  | | 
% 183.99/28.98  | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #25.
% 183.99/28.98  | | 
% 183.99/28.98  | Case 2:
% 183.99/28.98  | | 
% 183.99/28.98  | |   (7)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5
% 183.99/28.98  | |          = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 183.99/28.98  | |          e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.99/28.98  | |          all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) =
% 183.99/28.98  | |        e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 183.99/28.98  | |        all_57_21 & $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.99/28.98  | |        $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 183.99/28.98  | | 
% 183.99/28.98  | | ALPHA: (7) implies:
% 183.99/28.98  | |   (8)  op(e2, e3) = e2
% 183.99/28.98  | | 
% 183.99/28.98  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #180.
% 183.99/28.98  | | 
% 183.99/28.98  | End of split
% 183.99/28.98  | 
% 183.99/28.98  End of proof
% 183.99/28.98  
% 183.99/28.98  Sub-proof #16 shows that the following formulas are inconsistent:
% 183.99/28.98  ----------------------------------------------------------------
% 183.99/28.98    (1)   ~ (e3 = e0)
% 183.99/28.98    (2)   ~ (all_57_28 = e3)
% 183.99/28.98    (3)  op(e3, e3) = all_57_28
% 183.99/28.98    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.98           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.98    (5)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 183.99/28.98    (6)  op(e2, e2) = e0
% 183.99/28.98  
% 183.99/28.98  Begin of proof
% 183.99/28.98  | 
% 183.99/28.98  | BETA: splitting (5) gives:
% 183.99/28.98  | 
% 183.99/28.98  | Case 1:
% 183.99/28.98  | | 
% 183.99/28.98  | |   (7)  all_57_28 = e3 & op(e3, e3) = e3
% 183.99/28.98  | | 
% 183.99/28.98  | | ALPHA: (7) implies:
% 183.99/28.98  | |   (8)  op(e3, e3) = e3
% 183.99/28.98  | | 
% 183.99/28.98  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1539.
% 183.99/28.98  | | 
% 183.99/28.98  | Case 2:
% 183.99/28.98  | | 
% 183.99/28.98  | |   (9)  all_57_29 = e3 & op(e2, e2) = e3
% 183.99/28.98  | | 
% 183.99/28.98  | | ALPHA: (9) implies:
% 183.99/28.98  | |   (10)  op(e2, e2) = e3
% 183.99/28.98  | | 
% 183.99/28.98  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1015.
% 183.99/28.98  | | 
% 183.99/28.98  | End of split
% 183.99/28.98  | 
% 183.99/28.98  End of proof
% 183.99/28.98  
% 183.99/28.98  Sub-proof #17 shows that the following formulas are inconsistent:
% 183.99/28.98  ----------------------------------------------------------------
% 183.99/28.98    (1)   ~ (e3 = e0)
% 183.99/28.98    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.98           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.98    (3)  op(e3, e3) = e0
% 183.99/28.98    (4)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 183.99/28.98    (5)  op(e2, e2) = e0
% 183.99/28.98  
% 183.99/28.98  Begin of proof
% 183.99/28.98  | 
% 183.99/28.98  | BETA: splitting (4) gives:
% 183.99/28.98  | 
% 183.99/28.98  | Case 1:
% 183.99/28.98  | | 
% 183.99/28.98  | |   (6)  all_57_28 = e3 & op(e3, e3) = e3
% 183.99/28.98  | | 
% 183.99/28.98  | | ALPHA: (6) implies:
% 183.99/28.98  | |   (7)  op(e3, e3) = e3
% 183.99/28.98  | | 
% 183.99/28.98  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #55.
% 183.99/28.98  | | 
% 183.99/28.98  | Case 2:
% 183.99/28.98  | | 
% 183.99/28.98  | |   (8)  all_57_29 = e3 & op(e2, e2) = e3
% 183.99/28.98  | | 
% 183.99/28.98  | | ALPHA: (8) implies:
% 183.99/28.98  | |   (9)  op(e2, e2) = e3
% 183.99/28.98  | | 
% 183.99/28.98  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1015.
% 183.99/28.98  | | 
% 183.99/28.98  | End of split
% 183.99/28.98  | 
% 183.99/28.98  End of proof
% 183.99/28.98  
% 183.99/28.98  Sub-proof #18 shows that the following formulas are inconsistent:
% 183.99/28.98  ----------------------------------------------------------------
% 183.99/28.98    (1)  op(e0, e0) = all_6_2
% 183.99/28.98    (2)   ~ (all_6_2 = e1)
% 183.99/28.98    (3)   ~ (e1 = e0)
% 183.99/28.98    (4)  op(e0, e1) = e0
% 183.99/28.98    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.98           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.98    (6)  op(e3, e3) = e0
% 183.99/28.98    (7)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1) |
% 183.99/28.98         (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0, e0) = e1) |
% 183.99/28.98         ( ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 & $i(all_57_27))
% 183.99/28.98    (8)  op(e1, e1) = e2
% 183.99/28.98    (9)   ~ (e2 = e1)
% 183.99/28.98    (10)  op(e2, e2) = e0
% 183.99/28.98    (11)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 183.99/28.98          | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0, e0) =
% 183.99/28.98            e1) | ( ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 & $i(all_57_30))
% 183.99/28.98  
% 183.99/28.98  Begin of proof
% 183.99/28.98  | 
% 183.99/28.98  | BETA: splitting (11) gives:
% 183.99/28.98  | 
% 183.99/28.98  | Case 1:
% 183.99/28.98  | | 
% 183.99/28.98  | |   (12)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) =
% 183.99/28.98  | |           e1)
% 183.99/28.98  | | 
% 183.99/28.98  | | REF_CLOSE: (3), (5), (6), (10), (12) are inconsistent by sub-proof #19.
% 183.99/28.98  | | 
% 183.99/28.98  | Case 2:
% 183.99/28.98  | | 
% 183.99/28.98  | |   (13)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0, e0) =
% 183.99/28.98  | |           e1) | ( ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 &
% 183.99/28.98  | |           $i(all_57_30))
% 183.99/28.98  | | 
% 183.99/28.98  | | BETA: splitting (13) gives:
% 183.99/28.98  | | 
% 183.99/28.98  | | Case 1:
% 183.99/28.98  | | | 
% 183.99/28.98  | | |   (14)  all_57_30 = e1 & op(e1, e1) = e1
% 183.99/28.98  | | | 
% 183.99/28.98  | | | ALPHA: (14) implies:
% 183.99/28.98  | | |   (15)  op(e1, e1) = e1
% 183.99/28.98  | | | 
% 183.99/28.98  | | | REF_CLOSE: (5), (8), (9), (15) are inconsistent by sub-proof #1473.
% 183.99/28.98  | | | 
% 183.99/28.98  | | Case 2:
% 183.99/28.98  | | | 
% 183.99/28.98  | | |   (16)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~ (all_57_30 = e1) & op(e1,
% 183.99/28.98  | | |             e1) = all_57_30 & $i(all_57_30))
% 183.99/28.98  | | | 
% 183.99/28.98  | | | BETA: splitting (16) gives:
% 183.99/28.98  | | | 
% 183.99/28.98  | | | Case 1:
% 183.99/28.98  | | | | 
% 183.99/28.98  | | | |   (17)  all_57_31 = e1 & op(e0, e0) = e1
% 183.99/28.98  | | | | 
% 183.99/28.98  | | | | ALPHA: (17) implies:
% 183.99/28.98  | | | |   (18)  op(e0, e0) = e1
% 183.99/28.98  | | | | 
% 183.99/28.98  | | | | REF_CLOSE: (1), (2), (5), (18) are inconsistent by sub-proof #1516.
% 183.99/28.98  | | | | 
% 183.99/28.98  | | | Case 2:
% 183.99/28.98  | | | | 
% 183.99/28.98  | | | |   (19)   ~ (all_57_30 = e1) & op(e1, e1) = all_57_30 & $i(all_57_30)
% 183.99/28.98  | | | | 
% 183.99/28.98  | | | | ALPHA: (19) implies:
% 183.99/28.98  | | | |   (20)   ~ (all_57_30 = e1)
% 183.99/28.98  | | | |   (21)  op(e1, e1) = all_57_30
% 183.99/28.98  | | | | 
% 183.99/28.98  | | | | BETA: splitting (7) gives:
% 183.99/28.98  | | | | 
% 183.99/28.98  | | | | Case 1:
% 183.99/28.98  | | | | | 
% 183.99/28.98  | | | | |   (22)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2,
% 183.99/28.98  | | | | |             e2) = e1)
% 183.99/28.98  | | | | | 
% 183.99/28.98  | | | | | REF_CLOSE: (3), (5), (6), (10), (22) are inconsistent by sub-proof
% 183.99/28.98  | | | | |            #19.
% 183.99/28.98  | | | | | 
% 183.99/28.98  | | | | Case 2:
% 183.99/28.98  | | | | | 
% 183.99/28.98  | | | | |   (23)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0,
% 183.99/28.98  | | | | |             e0) = e1) | ( ~ (all_57_27 = e0) & op(e0, e1) = all_57_27
% 183.99/28.98  | | | | |           & $i(all_57_27))
% 183.99/28.98  | | | | | 
% 183.99/28.98  | | | | | BETA: splitting (23) gives:
% 183.99/28.98  | | | | | 
% 183.99/28.98  | | | | | Case 1:
% 183.99/28.98  | | | | | | 
% 183.99/28.98  | | | | | |   (24)  all_57_30 = e1 & op(e1, e1) = e1
% 183.99/28.98  | | | | | | 
% 183.99/28.98  | | | | | | ALPHA: (24) implies:
% 183.99/28.98  | | | | | |   (25)  op(e1, e1) = e1
% 183.99/28.98  | | | | | | 
% 183.99/28.98  | | | | | | REF_CLOSE: (5), (20), (21), (25) are inconsistent by sub-proof
% 183.99/28.98  | | | | | |            #1266.
% 183.99/28.98  | | | | | | 
% 183.99/28.98  | | | | | Case 2:
% 183.99/28.98  | | | | | | 
% 183.99/28.98  | | | | | |   (26)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 183.99/28.98  | | | | | |           op(e0, e1) = all_57_27 & $i(all_57_27))
% 183.99/28.98  | | | | | | 
% 183.99/28.98  | | | | | | BETA: splitting (26) gives:
% 183.99/28.98  | | | | | | 
% 183.99/28.98  | | | | | | Case 1:
% 183.99/28.98  | | | | | | | 
% 183.99/28.98  | | | | | | |   (27)  all_57_31 = e1 & op(e0, e0) = e1
% 183.99/28.98  | | | | | | | 
% 183.99/28.98  | | | | | | | ALPHA: (27) implies:
% 183.99/28.98  | | | | | | |   (28)  op(e0, e0) = e1
% 183.99/28.98  | | | | | | | 
% 183.99/28.98  | | | | | | | REF_CLOSE: (1), (2), (5), (28) are inconsistent by sub-proof
% 183.99/28.98  | | | | | | |            #1516.
% 183.99/28.98  | | | | | | | 
% 183.99/28.98  | | | | | | Case 2:
% 183.99/28.98  | | | | | | | 
% 183.99/28.98  | | | | | | |   (29)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 183.99/28.98  | | | | | | |         $i(all_57_27)
% 183.99/28.98  | | | | | | | 
% 183.99/28.98  | | | | | | | ALPHA: (29) implies:
% 183.99/28.98  | | | | | | |   (30)   ~ (all_57_27 = e0)
% 183.99/28.98  | | | | | | |   (31)  op(e0, e1) = all_57_27
% 183.99/28.98  | | | | | | | 
% 183.99/28.98  | | | | | | | GROUND_INST: instantiating (5) with e0, all_57_27, e1, e0,
% 183.99/28.98  | | | | | | |              simplifying with (4), (31) gives:
% 183.99/28.98  | | | | | | |   (32)  all_57_27 = e0
% 183.99/28.98  | | | | | | | 
% 183.99/28.98  | | | | | | | REDUCE: (30), (32) imply:
% 183.99/28.98  | | | | | | |   (33)  $false
% 183.99/28.98  | | | | | | | 
% 183.99/28.98  | | | | | | | CLOSE: (33) is inconsistent.
% 183.99/28.98  | | | | | | | 
% 183.99/28.98  | | | | | | End of split
% 183.99/28.98  | | | | | | 
% 183.99/28.98  | | | | | End of split
% 183.99/28.98  | | | | | 
% 183.99/28.98  | | | | End of split
% 183.99/28.98  | | | | 
% 183.99/28.98  | | | End of split
% 183.99/28.98  | | | 
% 183.99/28.98  | | End of split
% 183.99/28.98  | | 
% 183.99/28.98  | End of split
% 183.99/28.98  | 
% 183.99/28.98  End of proof
% 183.99/28.98  
% 183.99/28.98  Sub-proof #19 shows that the following formulas are inconsistent:
% 183.99/28.98  ----------------------------------------------------------------
% 183.99/28.98    (1)   ~ (e1 = e0)
% 183.99/28.98    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.98           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.98    (3)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 183.99/28.98    (4)  op(e3, e3) = e0
% 183.99/28.98    (5)  op(e2, e2) = e0
% 183.99/28.98  
% 183.99/28.98  Begin of proof
% 183.99/28.98  | 
% 183.99/28.98  | BETA: splitting (3) gives:
% 183.99/28.98  | 
% 183.99/28.98  | Case 1:
% 183.99/28.98  | | 
% 183.99/28.98  | |   (6)  all_57_28 = e1 & op(e3, e3) = e1
% 183.99/28.98  | | 
% 183.99/28.98  | | ALPHA: (6) implies:
% 183.99/28.98  | |   (7)  op(e3, e3) = e1
% 183.99/28.98  | | 
% 183.99/28.98  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #49.
% 183.99/28.98  | | 
% 183.99/28.98  | Case 2:
% 183.99/28.98  | | 
% 183.99/28.98  | |   (8)  all_57_29 = e1 & op(e2, e2) = e1
% 183.99/28.98  | | 
% 183.99/28.98  | | ALPHA: (8) implies:
% 183.99/28.98  | |   (9)  op(e2, e2) = e1
% 183.99/28.98  | | 
% 183.99/28.98  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1310.
% 183.99/28.98  | | 
% 183.99/28.98  | End of split
% 183.99/28.98  | 
% 183.99/28.98  End of proof
% 183.99/28.98  
% 183.99/28.98  Sub-proof #20 shows that the following formulas are inconsistent:
% 183.99/28.98  ----------------------------------------------------------------
% 183.99/28.98    (1)  op(e0, e0) = all_6_2
% 183.99/28.98    (2)   ~ (all_6_2 = e1)
% 183.99/28.98    (3)   ~ (e1 = e0)
% 183.99/28.98    (4)   ~ (e3 = e0)
% 183.99/28.98    (5)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 183.99/28.98         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 183.99/28.98    (6)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 183.99/28.98         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 183.99/28.98    (7)   ~ (all_52_6 = e0)
% 183.99/28.98    (8)   ~ (e2 = e0)
% 183.99/28.98    (9)   ~ (e3 = e1)
% 183.99/28.98    (10)   ~ (all_6_2 = e2)
% 183.99/28.98    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.98            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.98    (12)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 183.99/28.98          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 183.99/28.98    (13)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 183.99/28.98          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 183.99/28.98    (14)   ~ (e3 = e2)
% 183.99/28.98    (15)  all_56_9 = e3
% 183.99/28.98    (16)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 183.99/28.98          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 183.99/28.98    (17)  op(e1, e2) = all_52_6
% 183.99/28.98    (18)  all_56_11 = e0
% 183.99/28.98    (19)   ~ (e2 = e1)
% 183.99/28.98    (20)  op(e1, e1) = e1
% 183.99/28.98  
% 183.99/28.98  Begin of proof
% 183.99/28.98  | 
% 183.99/28.98  | BETA: splitting (13) gives:
% 183.99/28.98  | 
% 183.99/28.98  | Case 1:
% 183.99/28.98  | | 
% 183.99/28.98  | |   (21)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 183.99/28.98  | |           e2)
% 183.99/28.98  | | 
% 183.99/28.98  | | BETA: splitting (21) gives:
% 183.99/28.98  | | 
% 183.99/28.98  | | Case 1:
% 183.99/28.98  | | | 
% 183.99/28.98  | | |   (22)  all_56_9 = e2 & op(e3, e0) = e2
% 183.99/28.98  | | | 
% 183.99/28.98  | | | REF_CLOSE: (14), (15), (22) are inconsistent by sub-proof #777.
% 183.99/28.98  | | | 
% 183.99/28.98  | | Case 2:
% 183.99/28.98  | | | 
% 183.99/28.98  | | |   (23)  all_56_10 = e2 & op(e2, e0) = e2
% 183.99/28.98  | | | 
% 183.99/28.98  | | | ALPHA: (23) implies:
% 183.99/28.98  | | |   (24)  all_56_10 = e2
% 183.99/28.98  | | | 
% 183.99/28.98  | | | BETA: splitting (5) gives:
% 183.99/28.98  | | | 
% 183.99/28.98  | | | Case 1:
% 183.99/28.98  | | | | 
% 183.99/28.98  | | | |   (25)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0)
% 183.99/28.98  | | | |           = e1)
% 183.99/28.98  | | | | 
% 183.99/28.98  | | | | BETA: splitting (25) gives:
% 183.99/28.98  | | | | 
% 183.99/28.98  | | | | Case 1:
% 183.99/28.98  | | | | | 
% 183.99/28.98  | | | | |   (26)  all_56_9 = e1 & op(e3, e0) = e1
% 183.99/28.98  | | | | | 
% 183.99/28.98  | | | | | ALPHA: (26) implies:
% 183.99/28.98  | | | | |   (27)  all_56_9 = e1
% 183.99/28.98  | | | | | 
% 183.99/28.98  | | | | | REF_CLOSE: (9), (15), (27) are inconsistent by sub-proof #1376.
% 183.99/28.98  | | | | | 
% 183.99/28.98  | | | | Case 2:
% 183.99/28.98  | | | | | 
% 183.99/28.98  | | | | |   (28)  all_56_10 = e1 & op(e2, e0) = e1
% 183.99/28.98  | | | | | 
% 183.99/28.98  | | | | | ALPHA: (28) implies:
% 183.99/28.98  | | | | |   (29)  all_56_10 = e1
% 183.99/28.98  | | | | | 
% 183.99/28.98  | | | | | REF_CLOSE: (19), (24), (29) are inconsistent by sub-proof #1064.
% 183.99/28.98  | | | | | 
% 183.99/28.98  | | | | End of split
% 183.99/28.98  | | | | 
% 183.99/28.98  | | | Case 2:
% 183.99/28.98  | | | | 
% 183.99/28.98  | | | |   (30)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 183.99/28.98  | | | |             e0) = e1)
% 183.99/28.98  | | | | 
% 183.99/28.99  | | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (11), (12), (14),
% 183.99/28.99  | | | |            (16), (17), (19), (20), (30) are inconsistent by sub-proof
% 183.99/28.99  | | | |            #543.
% 183.99/28.99  | | | | 
% 183.99/28.99  | | | End of split
% 183.99/28.99  | | | 
% 183.99/28.99  | | End of split
% 183.99/28.99  | | 
% 183.99/28.99  | Case 2:
% 183.99/28.99  | | 
% 183.99/28.99  | |   (31)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 183.99/28.99  | |           e2)
% 183.99/28.99  | | 
% 183.99/28.99  | | REF_CLOSE: (1), (8), (10), (11), (18), (31) are inconsistent by sub-proof
% 183.99/28.99  | |            #1499.
% 183.99/28.99  | | 
% 183.99/28.99  | End of split
% 183.99/28.99  | 
% 183.99/28.99  End of proof
% 183.99/28.99  
% 183.99/28.99  Sub-proof #21 shows that the following formulas are inconsistent:
% 183.99/28.99  ----------------------------------------------------------------
% 183.99/28.99    (1)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 183.99/28.99    (2)   ~ (e2 = e0)
% 183.99/28.99    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.99           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.99    (4)  op(e3, e3) = e0
% 183.99/28.99    (5)  op(e2, e2) = e0
% 183.99/28.99  
% 183.99/28.99  Begin of proof
% 183.99/28.99  | 
% 183.99/28.99  | BETA: splitting (1) gives:
% 183.99/28.99  | 
% 183.99/28.99  | Case 1:
% 183.99/28.99  | | 
% 183.99/28.99  | |   (6)  all_57_28 = e2 & op(e3, e3) = e2
% 183.99/28.99  | | 
% 183.99/28.99  | | ALPHA: (6) implies:
% 183.99/28.99  | |   (7)  op(e3, e3) = e2
% 183.99/28.99  | | 
% 183.99/28.99  | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #50.
% 183.99/28.99  | | 
% 183.99/28.99  | Case 2:
% 183.99/28.99  | | 
% 183.99/28.99  | |   (8)  all_57_29 = e2 & op(e2, e2) = e2
% 183.99/28.99  | | 
% 183.99/28.99  | | ALPHA: (8) implies:
% 183.99/28.99  | |   (9)  op(e2, e2) = e2
% 183.99/28.99  | | 
% 183.99/28.99  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #1586.
% 183.99/28.99  | | 
% 183.99/28.99  | End of split
% 183.99/28.99  | 
% 183.99/28.99  End of proof
% 183.99/28.99  
% 183.99/28.99  Sub-proof #22 shows that the following formulas are inconsistent:
% 183.99/28.99  ----------------------------------------------------------------
% 183.99/28.99    (1)  ( ~ (all_16_0 = e0) & op(e3, e3) = all_16_0 & $i(all_16_0)) | ( ~
% 183.99/28.99           (all_16_1 = e2) & op(e3, e1) = all_16_1 & $i(all_16_1))
% 183.99/28.99    (2)   ~ (all_52_4 = all_10_2)
% 183.99/28.99    (3)  all_54_6 = all_52_9
% 183.99/28.99    (4)   ~ (all_52_8 = all_52_11)
% 183.99/28.99    (5)   ~ (all_52_9 = all_10_2)
% 183.99/28.99    (6)  op(e0, e0) = all_6_2
% 183.99/28.99    (7)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 183.99/28.99         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 183.99/28.99    (8)   ~ (all_52_8 = e3)
% 183.99/28.99    (9)   ~ (all_52_2 = e3)
% 183.99/28.99    (10)   ~ (all_6_2 = e1)
% 183.99/28.99    (11)  op(e1, e1) = e3
% 183.99/28.99    (12)  op(e1, e3) = all_52_2
% 183.99/28.99    (13)   ~ (all_52_7 = all_10_2)
% 183.99/28.99    (14)   ~ (e3 = e0)
% 183.99/28.99    (15)  op(e0, e1) = all_52_11
% 183.99/28.99    (16)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 183.99/28.99          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 183.99/28.99    (17)   ~ (all_28_2 = e1) | ( ~ (all_28_0 = e0) & op(e1, e1) = all_28_0 &
% 183.99/28.99            $i(all_28_0)) | ( ~ (all_28_1 = e3) & op(e1, e2) = all_28_1 &
% 183.99/28.99            $i(all_28_1))
% 183.99/28.99    (18)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 183.99/28.99    (19)  op(e2, e1) = all_52_9
% 183.99/28.99    (20)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 183.99/28.99          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 183.99/28.99    (21)   ~ (all_10_2 = e0)
% 183.99/28.99    (22)   ~ (e2 = e0)
% 183.99/28.99    (23)   ~ (all_52_9 = all_52_13)
% 183.99/28.99    (24)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 183.99/28.99    (25)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 183.99/28.99          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 183.99/28.99    (26)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 183.99/28.99    (27)  op(e0, e3) = all_52_3
% 183.99/28.99    (28)   ~ (all_52_4 = all_52_8)
% 183.99/28.99    (29)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/28.99            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/28.99    (30)   ~ (all_52_8 = e0)
% 183.99/28.99    (31)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 183.99/28.99    (32)  all_54_5 = all_10_2
% 183.99/28.99    (33)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 183.99/28.99              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 183.99/28.99            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.99/28.99              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.99/28.99            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 183.99/28.99            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 183.99/28.99            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 183.99/28.99            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 183.99/28.99            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 183.99/28.99            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.99/28.99              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 183.99/28.99              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.99/28.99            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.99/28.99          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 183.99/28.99              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 183.99/28.99            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 183.99/28.99              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 183.99/28.99            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 183.99/28.99            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 183.99/28.99            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 183.99/28.99            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 183.99/28.99            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.99/28.99              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 183.99/28.99              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 183.99/28.99            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 183.99/28.99            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 183.99/28.99            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 183.99/28.99            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 183.99/28.99            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 183.99/28.99            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 183.99/28.99            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.99/28.99            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 183.99/28.99            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 183.99/28.99            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 183.99/28.99              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 183.99/28.99            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 183.99/28.99            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 183.99/28.99              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 183.99/28.99            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 183.99/28.99            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 183.99/28.99            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 183.99/28.99            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.99/28.99            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.99/28.99              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 183.99/28.99              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 183.99/28.99            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 183.99/28.99            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 183.99/28.99              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 183.99/28.99            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 183.99/28.99            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.99/28.99            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 183.99/28.99            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.99/28.99            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 183.99/28.99                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 183.99/28.99                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 183.99/28.99                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.99/28.99                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 183.99/28.99                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 183.99/28.99                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.99/28.99                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.99/28.99                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.99/28.99                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.99/28.99                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.99/28.99                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 183.99/28.99                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.99/28.99                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 183.99/28.99                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 183.99/28.99                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 183.99/28.99                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 183.99/28.99    (34)  op(e3, e3) = e0
% 183.99/28.99    (35)   ~ (all_52_9 = all_52_11)
% 183.99/28.99    (36)   ~ (all_52_8 = all_52_9)
% 183.99/28.99    (37)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 183.99/28.99          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 183.99/28.99    (38)   ~ (all_10_2 = e3)
% 183.99/28.99    (39)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 183.99/28.99          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 183.99/28.99            e1)
% 183.99/28.99    (40)  op(e2, e0) = all_52_13
% 183.99/28.99    (41)   ~ (e3 = e2)
% 183.99/28.99    (42)  all_28_2 = all_10_2
% 183.99/28.99    (43)  all_54_2 = all_52_8
% 183.99/28.99    (44)  op(e3, e1) = all_52_8
% 183.99/28.99    (45)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 183.99/28.99          | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0, e0) =
% 183.99/28.99            e1) | ( ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 & $i(all_57_27))
% 183.99/28.99    (46)  op(e3, e2) = all_52_4
% 183.99/28.99    (47)   ~ (all_46_2 = e1) | ( ~ (all_46_0 = e3) & op(e1, e1) = all_46_0 &
% 183.99/28.99            $i(all_46_0)) | ( ~ (all_46_1 = e0) & op(e1, e2) = all_46_1 &
% 183.99/28.99            $i(all_46_1))
% 183.99/28.99    (48)   ~ (all_52_2 = e0)
% 183.99/28.99    (49)   ~ (all_52_9 = e3)
% 183.99/28.99    (50)  op(e1, e2) = all_52_6
% 183.99/28.99    (51)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 183.99/28.99    (52)  all_46_2 = all_10_2
% 183.99/28.99    (53)   ~ (all_52_4 = e0)
% 183.99/28.99    (54)   ~ (all_52_6 = all_10_2)
% 183.99/28.99    (55)  op(e0, e2) = all_52_7
% 183.99/28.99    (56)  all_54_14 = all_52_11
% 183.99/28.99    (57)  op(e2, e2) = all_10_2
% 183.99/28.99    (58)   ~ (all_52_11 = e3)
% 183.99/28.99    (59)   ~ (all_52_7 = all_52_11)
% 183.99/28.99    (60)  all_54_1 = all_52_4
% 183.99/28.99  
% 183.99/28.99  Begin of proof
% 183.99/28.99  | 
% 183.99/28.99  | BETA: splitting (1) gives:
% 183.99/28.99  | 
% 183.99/28.99  | Case 1:
% 183.99/28.99  | | 
% 183.99/28.99  | |   (61)   ~ (all_16_0 = e0) & op(e3, e3) = all_16_0 & $i(all_16_0)
% 183.99/28.99  | | 
% 183.99/28.99  | | REF_CLOSE: (29), (34), (61) are inconsistent by sub-proof #27.
% 183.99/28.99  | | 
% 183.99/28.99  | Case 2:
% 183.99/28.99  | | 
% 183.99/28.99  | |   (62)   ~ (all_16_1 = e2) & op(e3, e1) = all_16_1 & $i(all_16_1)
% 183.99/28.99  | | 
% 183.99/28.99  | | ALPHA: (62) implies:
% 183.99/28.99  | |   (63)   ~ (all_16_1 = e2)
% 183.99/28.99  | |   (64)  op(e3, e1) = all_16_1
% 183.99/28.99  | | 
% 183.99/28.99  | | GROUND_INST: instantiating (29) with all_52_8, all_16_1, e1, e3, simplifying
% 183.99/28.99  | |              with (44), (64) gives:
% 183.99/28.99  | |   (65)  all_52_8 = all_16_1
% 183.99/28.99  | | 
% 183.99/28.99  | | COMBINE_EQS: (43), (65) imply:
% 183.99/28.99  | |   (66)  all_54_2 = all_16_1
% 183.99/28.99  | | 
% 183.99/28.99  | | REDUCE: (28), (65) imply:
% 183.99/28.99  | |   (67)   ~ (all_52_4 = all_16_1)
% 183.99/28.99  | | 
% 183.99/28.99  | | REDUCE: (36), (65) imply:
% 183.99/28.99  | |   (68)   ~ (all_52_9 = all_16_1)
% 183.99/28.99  | | 
% 183.99/28.99  | | SIMP: (68) implies:
% 183.99/28.99  | |   (69)   ~ (all_52_9 = all_16_1)
% 183.99/28.99  | | 
% 183.99/28.99  | | REDUCE: (4), (65) imply:
% 183.99/28.99  | |   (70)   ~ (all_52_11 = all_16_1)
% 183.99/28.99  | | 
% 183.99/28.99  | | SIMP: (70) implies:
% 183.99/28.99  | |   (71)   ~ (all_52_11 = all_16_1)
% 183.99/28.99  | | 
% 183.99/28.99  | | REDUCE: (8), (65) imply:
% 183.99/28.99  | |   (72)   ~ (all_16_1 = e3)
% 183.99/28.99  | | 
% 183.99/28.99  | | REDUCE: (30), (65) imply:
% 183.99/28.99  | |   (73)   ~ (all_16_1 = e0)
% 183.99/28.99  | | 
% 183.99/28.99  | | BETA: splitting (26) gives:
% 183.99/28.99  | | 
% 183.99/28.99  | | Case 1:
% 183.99/28.99  | | | 
% 183.99/28.99  | | |   (74)  all_54_2 = e3
% 183.99/28.99  | | | 
% 183.99/28.99  | | | COMBINE_EQS: (66), (74) imply:
% 183.99/28.99  | | |   (75)  all_16_1 = e3
% 183.99/28.99  | | | 
% 183.99/28.99  | | | REDUCE: (72), (75) imply:
% 183.99/28.99  | | |   (76)  $false
% 183.99/28.99  | | | 
% 183.99/28.99  | | | CLOSE: (76) is inconsistent.
% 183.99/28.99  | | | 
% 183.99/28.99  | | Case 2:
% 183.99/28.99  | | | 
% 183.99/28.99  | | |   (77)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 183.99/28.99  | | | 
% 183.99/28.99  | | | BETA: splitting (77) gives:
% 183.99/28.99  | | | 
% 183.99/28.99  | | | Case 1:
% 183.99/28.99  | | | | 
% 183.99/28.99  | | | |   (78)  all_54_2 = e2
% 183.99/28.99  | | | | 
% 183.99/28.99  | | | | COMBINE_EQS: (66), (78) imply:
% 183.99/28.99  | | | |   (79)  all_16_1 = e2
% 183.99/28.99  | | | | 
% 183.99/28.99  | | | | REDUCE: (63), (79) imply:
% 183.99/28.99  | | | |   (80)  $false
% 183.99/28.99  | | | | 
% 183.99/28.99  | | | | CLOSE: (80) is inconsistent.
% 183.99/28.99  | | | | 
% 183.99/28.99  | | | Case 2:
% 183.99/28.99  | | | | 
% 183.99/28.99  | | | |   (81)   ~ (all_54_2 = e2)
% 183.99/29.00  | | | |   (82)  all_54_2 = e1 | all_54_2 = e0
% 183.99/29.00  | | | | 
% 183.99/29.00  | | | | BETA: splitting (82) gives:
% 183.99/29.00  | | | | 
% 183.99/29.00  | | | | Case 1:
% 183.99/29.00  | | | | | 
% 183.99/29.00  | | | | |   (83)  all_54_2 = e1
% 183.99/29.00  | | | | | 
% 183.99/29.00  | | | | | COMBINE_EQS: (66), (83) imply:
% 183.99/29.00  | | | | |   (84)  all_16_1 = e1
% 183.99/29.00  | | | | | 
% 183.99/29.00  | | | | | REDUCE: (67), (84) imply:
% 183.99/29.00  | | | | |   (85)   ~ (all_52_4 = e1)
% 183.99/29.00  | | | | | 
% 183.99/29.00  | | | | | REDUCE: (69), (84) imply:
% 183.99/29.00  | | | | |   (86)   ~ (all_52_9 = e1)
% 183.99/29.00  | | | | | 
% 183.99/29.00  | | | | | REDUCE: (71), (84) imply:
% 183.99/29.00  | | | | |   (87)   ~ (all_52_11 = e1)
% 183.99/29.00  | | | | | 
% 183.99/29.00  | | | | | REDUCE: (63), (84) imply:
% 183.99/29.00  | | | | |   (88)   ~ (e2 = e1)
% 183.99/29.00  | | | | | 
% 183.99/29.00  | | | | | SIMP: (88) implies:
% 183.99/29.00  | | | | |   (89)   ~ (e2 = e1)
% 183.99/29.00  | | | | | 
% 183.99/29.00  | | | | | REDUCE: (64), (84) imply:
% 183.99/29.00  | | | | |   (90)  op(e3, e1) = e1
% 183.99/29.00  | | | | | 
% 183.99/29.00  | | | | | BETA: splitting (17) gives:
% 183.99/29.00  | | | | | 
% 183.99/29.00  | | | | | Case 1:
% 183.99/29.00  | | | | | | 
% 183.99/29.00  | | | | | |   (91)   ~ (all_28_2 = e1)
% 183.99/29.00  | | | | | | 
% 183.99/29.00  | | | | | | REDUCE: (42), (91) imply:
% 183.99/29.00  | | | | | |   (92)   ~ (all_10_2 = e1)
% 183.99/29.00  | | | | | | 
% 183.99/29.00  | | | | | | BETA: splitting (18) gives:
% 183.99/29.00  | | | | | | 
% 183.99/29.00  | | | | | | Case 1:
% 183.99/29.00  | | | | | | | 
% 183.99/29.00  | | | | | | |   (93)  all_54_5 = e3
% 183.99/29.00  | | | | | | | 
% 183.99/29.00  | | | | | | | REF_CLOSE: (32), (38), (93) are inconsistent by sub-proof #1268.
% 183.99/29.00  | | | | | | | 
% 183.99/29.00  | | | | | | Case 2:
% 183.99/29.00  | | | | | | | 
% 183.99/29.00  | | | | | | |   (94)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 183.99/29.00  | | | | | | | 
% 183.99/29.00  | | | | | | | BETA: splitting (94) gives:
% 183.99/29.00  | | | | | | | 
% 183.99/29.00  | | | | | | | Case 1:
% 183.99/29.00  | | | | | | | | 
% 183.99/29.00  | | | | | | | |   (95)  all_54_5 = e2
% 183.99/29.00  | | | | | | | | 
% 183.99/29.00  | | | | | | | | COMBINE_EQS: (32), (95) imply:
% 183.99/29.00  | | | | | | | |   (96)  all_10_2 = e2
% 183.99/29.00  | | | | | | | | 
% 183.99/29.00  | | | | | | | | SIMP: (96) implies:
% 183.99/29.00  | | | | | | | |   (97)  all_10_2 = e2
% 183.99/29.00  | | | | | | | | 
% 183.99/29.00  | | | | | | | | REDUCE: (2), (97) imply:
% 183.99/29.00  | | | | | | | |   (98)   ~ (all_52_4 = e2)
% 183.99/29.00  | | | | | | | | 
% 183.99/29.00  | | | | | | | | REDUCE: (5), (97) imply:
% 183.99/29.00  | | | | | | | |   (99)   ~ (all_52_9 = e2)
% 183.99/29.00  | | | | | | | | 
% 183.99/29.00  | | | | | | | | REDUCE: (57), (97) imply:
% 183.99/29.00  | | | | | | | |   (100)  op(e2, e2) = e2
% 183.99/29.00  | | | | | | | | 
% 183.99/29.00  | | | | | | | | BETA: splitting (31) gives:
% 183.99/29.00  | | | | | | | | 
% 183.99/29.00  | | | | | | | | Case 1:
% 183.99/29.00  | | | | | | | | | 
% 183.99/29.00  | | | | | | | | |   (101)  all_54_6 = e3
% 183.99/29.00  | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | COMBINE_EQS: (3), (101) imply:
% 183.99/29.00  | | | | | | | | |   (102)  all_52_9 = e3
% 183.99/29.00  | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | REDUCE: (49), (102) imply:
% 183.99/29.00  | | | | | | | | |   (103)  $false
% 183.99/29.00  | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | CLOSE: (103) is inconsistent.
% 183.99/29.00  | | | | | | | | | 
% 183.99/29.00  | | | | | | | | Case 2:
% 183.99/29.00  | | | | | | | | | 
% 183.99/29.00  | | | | | | | | |   (104)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 183.99/29.00  | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | BETA: splitting (24) gives:
% 183.99/29.00  | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | Case 1:
% 183.99/29.00  | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | |   (105)  all_54_1 = e3
% 183.99/29.00  | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | COMBINE_EQS: (60), (105) imply:
% 183.99/29.00  | | | | | | | | | |   (106)  all_52_4 = e3
% 183.99/29.00  | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | REDUCE: (85), (106) imply:
% 183.99/29.00  | | | | | | | | | |   (107)   ~ (e3 = e1)
% 183.99/29.00  | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | REDUCE: (46), (106) imply:
% 183.99/29.00  | | | | | | | | | |   (108)  op(e3, e2) = e3
% 183.99/29.00  | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | BETA: splitting (104) gives:
% 183.99/29.00  | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | Case 1:
% 183.99/29.00  | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | |   (109)  all_54_6 = e2
% 183.99/29.00  | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | COMBINE_EQS: (3), (109) imply:
% 183.99/29.00  | | | | | | | | | | |   (110)  all_52_9 = e2
% 183.99/29.00  | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | REDUCE: (99), (110) imply:
% 183.99/29.00  | | | | | | | | | | |   (111)  $false
% 183.99/29.00  | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | CLOSE: (111) is inconsistent.
% 183.99/29.00  | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | Case 2:
% 183.99/29.00  | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | |   (112)  all_54_6 = e1 | all_54_6 = e0
% 183.99/29.00  | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | BETA: splitting (112) gives:
% 183.99/29.00  | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | Case 1:
% 183.99/29.00  | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | |   (113)  all_54_6 = e1
% 183.99/29.00  | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | COMBINE_EQS: (3), (113) imply:
% 183.99/29.00  | | | | | | | | | | | |   (114)  all_52_9 = e1
% 183.99/29.00  | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | REDUCE: (86), (114) imply:
% 183.99/29.00  | | | | | | | | | | | |   (115)  $false
% 183.99/29.00  | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | CLOSE: (115) is inconsistent.
% 183.99/29.00  | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | Case 2:
% 183.99/29.00  | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | |   (116)  all_54_6 = e0
% 183.99/29.00  | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | COMBINE_EQS: (3), (116) imply:
% 183.99/29.00  | | | | | | | | | | | |   (117)  all_52_9 = e0
% 183.99/29.00  | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | REDUCE: (35), (117) imply:
% 183.99/29.00  | | | | | | | | | | | |   (118)   ~ (all_52_11 = e0)
% 183.99/29.00  | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | SIMP: (118) implies:
% 183.99/29.00  | | | | | | | | | | | |   (119)   ~ (all_52_11 = e0)
% 183.99/29.00  | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | REDUCE: (23), (117) imply:
% 183.99/29.00  | | | | | | | | | | | |   (120)   ~ (all_52_13 = e0)
% 183.99/29.00  | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | SIMP: (120) implies:
% 183.99/29.00  | | | | | | | | | | | |   (121)   ~ (all_52_13 = e0)
% 183.99/29.00  | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | REDUCE: (86), (117) imply:
% 183.99/29.00  | | | | | | | | | | | |   (122)   ~ (e1 = e0)
% 183.99/29.00  | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | SIMP: (122) implies:
% 183.99/29.00  | | | | | | | | | | | |   (123)   ~ (e1 = e0)
% 183.99/29.00  | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | REDUCE: (19), (117) imply:
% 183.99/29.00  | | | | | | | | | | | |   (124)  op(e2, e1) = e0
% 183.99/29.00  | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | BETA: splitting (51) gives:
% 183.99/29.00  | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | Case 1:
% 183.99/29.00  | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | |   (125)  all_54_14 = e3
% 183.99/29.00  | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | REF_CLOSE: (56), (58), (125) are inconsistent by sub-proof
% 183.99/29.00  | | | | | | | | | | | | |            #1259.
% 183.99/29.00  | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | Case 2:
% 183.99/29.00  | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | |   (126)   ~ (all_54_14 = e3)
% 183.99/29.00  | | | | | | | | | | | | |   (127)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 183.99/29.00  | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | BETA: splitting (127) gives:
% 183.99/29.00  | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | Case 1:
% 183.99/29.00  | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | |   (128)  all_54_14 = e2
% 183.99/29.00  | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | COMBINE_EQS: (56), (128) imply:
% 183.99/29.00  | | | | | | | | | | | | | |   (129)  all_52_11 = e2
% 183.99/29.00  | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | SIMP: (129) implies:
% 183.99/29.00  | | | | | | | | | | | | | |   (130)  all_52_11 = e2
% 183.99/29.00  | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | REDUCE: (59), (130) imply:
% 183.99/29.00  | | | | | | | | | | | | | |   (131)   ~ (all_52_7 = e2)
% 183.99/29.00  | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | REDUCE: (58), (130) imply:
% 183.99/29.00  | | | | | | | | | | | | | |   (132)   ~ (e3 = e2)
% 183.99/29.00  | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | REDUCE: (15), (130) imply:
% 183.99/29.00  | | | | | | | | | | | | | |   (133)  op(e0, e1) = e2
% 183.99/29.00  | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | BETA: splitting (37) gives:
% 183.99/29.00  | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | Case 1:
% 183.99/29.00  | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | |   (134)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 183.99/29.00  | | | | | | | | | | | | | | |            & op(e3, e2) = e2)
% 183.99/29.00  | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 183.99/29.00  | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | Case 1:
% 183.99/29.00  | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | |   (135)  all_56_0 = e2 & op(e3, e3) = e2
% 183.99/29.00  | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | ALPHA: (135) implies:
% 183.99/29.00  | | | | | | | | | | | | | | | |   (136)  op(e3, e3) = e2
% 183.99/29.00  | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | REF_CLOSE: (22), (29), (34), (136) are inconsistent by
% 183.99/29.00  | | | | | | | | | | | | | | | |            sub-proof #50.
% 183.99/29.00  | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | Case 2:
% 183.99/29.00  | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | |   (137)  all_56_1 = e2 & op(e3, e2) = e2
% 183.99/29.00  | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | ALPHA: (137) implies:
% 183.99/29.00  | | | | | | | | | | | | | | | |   (138)  op(e3, e2) = e2
% 183.99/29.00  | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | REF_CLOSE: (29), (41), (108), (138) are inconsistent by
% 183.99/29.00  | | | | | | | | | | | | | | | |            sub-proof #166.
% 183.99/29.00  | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | End of split
% 183.99/29.00  | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | Case 2:
% 183.99/29.00  | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | |   (139)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 183.99/29.00  | | | | | | | | | | | | | | |            & op(e3, e0) = e2)
% 183.99/29.00  | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 183.99/29.00  | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | Case 1:
% 183.99/29.00  | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | |   (140)  all_56_4 = e2 & op(e3, e1) = e2
% 183.99/29.00  | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | REF_CLOSE: (29), (63), (64), (140) are inconsistent by
% 183.99/29.00  | | | | | | | | | | | | | | | |            sub-proof #26.
% 183.99/29.00  | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | Case 2:
% 183.99/29.00  | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | |   (141)  all_56_9 = e2 & op(e3, e0) = e2
% 183.99/29.00  | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | ALPHA: (141) implies:
% 183.99/29.00  | | | | | | | | | | | | | | | |   (142)  op(e3, e0) = e2
% 183.99/29.00  | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 183.99/29.00  | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | Case 1:
% 183.99/29.00  | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | |   (143)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 183.99/29.00  | | | | | | | | | | | | | | | | |            e1 & op(e2, e2) = e1)
% 183.99/29.00  | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (34), (89), (100), (123), (143) are
% 183.99/29.00  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #33.
% 183.99/29.00  | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | Case 2:
% 183.99/29.00  | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | |   (144)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 183.99/29.00  | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0) &
% 183.99/29.00  | | | | | | | | | | | | | | | | |            op(e0, e1) = all_57_27 & $i(all_57_27))
% 183.99/29.00  | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 183.99/29.00  | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | Case 1:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | |   (145)  all_57_30 = e1 & op(e1, e1) = e1
% 183.99/29.00  | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | ALPHA: (145) implies:
% 183.99/29.00  | | | | | | | | | | | | | | | | | |   (146)  op(e1, e1) = e1
% 183.99/29.00  | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (29), (107), (146) are inconsistent by
% 183.99/29.00  | | | | | | | | | | | | | | | | | |            sub-proof #1541.
% 183.99/29.00  | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | Case 2:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | |   (147)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 183.99/29.00  | | | | | | | | | | | | | | | | | |            (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | |            $i(all_57_27))
% 183.99/29.00  | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | Case 1:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | |   (148)  all_57_31 = e1 & op(e0, e0) = e1
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | ALPHA: (148) implies:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | |   (149)  op(e0, e0) = e1
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10), (29), (149) are inconsistent by
% 183.99/29.00  | | | | | | | | | | | | | | | | | | |            sub-proof #1516.
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | Case 2:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | |   (150)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | |          $i(all_57_27)
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | ALPHA: (150) implies:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | |   (151)   ~ (all_57_27 = e0)
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | Case 1:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |   (152)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | BETA: splitting (152) gives:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |   (153)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |   (154)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (154) implies:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |   (155)   ~ (all_57_2 = e1)
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |   (156)  op(e3, e1) = all_57_17
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |   (157)  op(e3, all_57_17) = all_57_2
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e1, all_57_17, e1, e3,
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (90), (156) gives:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |   (158)  all_57_17 = e1
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (155), (156), (157), (158) are inconsistent
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #847.
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |   (159)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (159) implies:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |   (160)  op(e3, e1) = e3
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (28), (29), (44), (53), (60), (85), (98),
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | |            (160) are inconsistent by sub-proof #1047.
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |   (161)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (34), (41), (108), (161) are inconsistent by
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | |            sub-proof #24.
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | End of split
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | Case 2:
% 183.99/29.00  | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |   (162)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |   (163)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (29), (55), (124), (131), (163) are
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #271.
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |   (164)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |   (165)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (165) implies:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |   (166)   ~ (all_57_30 = e3)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |   (167)  op(e1, e1) = all_57_30
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (29), (166), (167) are inconsistent by
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #23.
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |   (168)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (169)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (169) implies:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (170)  op(e2, e1) = e1
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (29), (86), (170) are inconsistent by
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1610.
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (171)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0))))
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (171) implies:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (172)  op(e0, e1) = all_57_27
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |   (173)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |   (174)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22) = all_57_8 & op(e1, all_57_23) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |          all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (174) implies:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |   (175)  all_57_27 = e1
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (175) imply:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |   (176)  op(e0, e1) = e1
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (89), (133), (176) are inconsistent by
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #862.
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |   (177)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25) = all_57_12 & op(e0, all_57_26) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |          all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |          & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_25 = e0 & op(e3, e0) = e0) |
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0))
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (177) implies:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |   (178)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_27 = e0 & op(e1, e0) = e0)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | |   (179)  all_57_31 = e0
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (29), (87), (172), (173), (179) are
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #224.
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | |   (180)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e0)
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | |   (181)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.01  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (181) implies:
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (182)  op(e3, e0) = e0
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (29), (142), (182) are inconsistent by
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #113.
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |   (183)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e0)
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (40), (121), (151), (183) are inconsistent
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #170.
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | Case 2:
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | |   (184)  all_54_14 = e1 | all_54_14 = e0
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | REF_CLOSE: (56), (87), (119), (184) are inconsistent by
% 183.99/29.02  | | | | | | | | | | | | | |            sub-proof #1305.
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | Case 2:
% 183.99/29.02  | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | |   (185)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 183.99/29.02  | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | REF_CLOSE: (53), (60), (85), (98), (185) are inconsistent by
% 183.99/29.02  | | | | | | | | | |            sub-proof #1057.
% 183.99/29.02  | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | 
% 183.99/29.02  | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | 
% 183.99/29.02  | | | | | | | Case 2:
% 183.99/29.02  | | | | | | | | 
% 183.99/29.02  | | | | | | | |   (186)  all_54_5 = e1 | all_54_5 = e0
% 183.99/29.02  | | | | | | | | 
% 183.99/29.02  | | | | | | | | REF_CLOSE: (21), (32), (92), (186) are inconsistent by sub-proof
% 183.99/29.02  | | | | | | | |            #1353.
% 183.99/29.02  | | | | | | | | 
% 183.99/29.02  | | | | | | | End of split
% 183.99/29.02  | | | | | | | 
% 183.99/29.02  | | | | | | End of split
% 183.99/29.02  | | | | | | 
% 183.99/29.02  | | | | | Case 2:
% 183.99/29.02  | | | | | | 
% 183.99/29.02  | | | | | |   (187)  all_28_2 = e1
% 183.99/29.02  | | | | | | 
% 183.99/29.02  | | | | | | COMBINE_EQS: (42), (187) imply:
% 183.99/29.02  | | | | | |   (188)  all_10_2 = e1
% 183.99/29.02  | | | | | | 
% 183.99/29.02  | | | | | | SIMP: (188) implies:
% 183.99/29.02  | | | | | |   (189)  all_10_2 = e1
% 183.99/29.02  | | | | | | 
% 183.99/29.02  | | | | | | COMBINE_EQS: (52), (189) imply:
% 183.99/29.02  | | | | | |   (190)  all_46_2 = e1
% 183.99/29.02  | | | | | | 
% 183.99/29.02  | | | | | | REDUCE: (54), (189) imply:
% 183.99/29.02  | | | | | |   (191)   ~ (all_52_6 = e1)
% 183.99/29.02  | | | | | | 
% 183.99/29.02  | | | | | | REDUCE: (13), (189) imply:
% 183.99/29.02  | | | | | |   (192)   ~ (all_52_7 = e1)
% 183.99/29.02  | | | | | | 
% 183.99/29.02  | | | | | | REDUCE: (38), (189) imply:
% 183.99/29.02  | | | | | |   (193)   ~ (e3 = e1)
% 183.99/29.02  | | | | | | 
% 183.99/29.02  | | | | | | SIMP: (193) implies:
% 183.99/29.02  | | | | | |   (194)   ~ (e3 = e1)
% 183.99/29.02  | | | | | | 
% 183.99/29.02  | | | | | | REDUCE: (21), (189) imply:
% 183.99/29.02  | | | | | |   (195)   ~ (e1 = e0)
% 183.99/29.02  | | | | | | 
% 183.99/29.02  | | | | | | BETA: splitting (47) gives:
% 183.99/29.02  | | | | | | 
% 183.99/29.02  | | | | | | Case 1:
% 183.99/29.02  | | | | | | | 
% 183.99/29.02  | | | | | | |   (196)   ~ (all_46_2 = e1)
% 183.99/29.02  | | | | | | | 
% 183.99/29.02  | | | | | | | REDUCE: (190), (196) imply:
% 183.99/29.02  | | | | | | |   (197)  $false
% 183.99/29.02  | | | | | | | 
% 183.99/29.02  | | | | | | | CLOSE: (197) is inconsistent.
% 183.99/29.02  | | | | | | | 
% 183.99/29.02  | | | | | | Case 2:
% 183.99/29.02  | | | | | | | 
% 183.99/29.02  | | | | | | |   (198)  ( ~ (all_46_0 = e3) & op(e1, e1) = all_46_0 &
% 183.99/29.02  | | | | | | |            $i(all_46_0)) | ( ~ (all_46_1 = e0) & op(e1, e2) =
% 183.99/29.02  | | | | | | |            all_46_1 & $i(all_46_1))
% 183.99/29.02  | | | | | | | 
% 183.99/29.02  | | | | | | | BETA: splitting (198) gives:
% 183.99/29.02  | | | | | | | 
% 183.99/29.02  | | | | | | | Case 1:
% 183.99/29.02  | | | | | | | | 
% 183.99/29.02  | | | | | | | |   (199)   ~ (all_46_0 = e3) & op(e1, e1) = all_46_0 &
% 183.99/29.02  | | | | | | | |          $i(all_46_0)
% 183.99/29.02  | | | | | | | | 
% 183.99/29.02  | | | | | | | | ALPHA: (199) implies:
% 183.99/29.02  | | | | | | | |   (200)   ~ (all_46_0 = e3)
% 183.99/29.02  | | | | | | | |   (201)  op(e1, e1) = all_46_0
% 183.99/29.02  | | | | | | | | 
% 183.99/29.02  | | | | | | | | REF_CLOSE: (11), (29), (200), (201) are inconsistent by
% 183.99/29.02  | | | | | | | |            sub-proof #781.
% 183.99/29.02  | | | | | | | | 
% 183.99/29.02  | | | | | | | Case 2:
% 183.99/29.02  | | | | | | | | 
% 183.99/29.02  | | | | | | | |   (202)   ~ (all_46_1 = e0) & op(e1, e2) = all_46_1 &
% 183.99/29.02  | | | | | | | |          $i(all_46_1)
% 183.99/29.02  | | | | | | | | 
% 183.99/29.02  | | | | | | | | ALPHA: (202) implies:
% 183.99/29.02  | | | | | | | |   (203)   ~ (all_46_1 = e0)
% 183.99/29.02  | | | | | | | |   (204)  op(e1, e2) = all_46_1
% 183.99/29.02  | | | | | | | | 
% 183.99/29.02  | | | | | | | | BETA: splitting (39) gives:
% 183.99/29.02  | | | | | | | | 
% 183.99/29.02  | | | | | | | | Case 1:
% 183.99/29.02  | | | | | | | | | 
% 183.99/29.02  | | | | | | | | |   (205)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1
% 183.99/29.02  | | | | | | | | |            & op(e0, e2) = e1)
% 183.99/29.02  | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | BETA: splitting (205) gives:
% 183.99/29.02  | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | Case 1:
% 183.99/29.02  | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | |   (206)  all_56_12 = e1 & op(e0, e3) = e1
% 183.99/29.02  | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | ALPHA: (206) implies:
% 183.99/29.02  | | | | | | | | | |   (207)  all_56_12 = e1
% 183.99/29.02  | | | | | | | | | |   (208)  op(e0, e3) = e1
% 183.99/29.02  | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | BETA: splitting (25) gives:
% 183.99/29.02  | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | Case 1:
% 183.99/29.02  | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | |   (209)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 183.99/29.02  | | | | | | | | | | |            & op(e2, e3) = e3)
% 183.99/29.02  | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | BETA: splitting (209) gives:
% 183.99/29.02  | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | Case 1:
% 183.99/29.02  | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | |   (210)  all_56_0 = e3 & op(e3, e3) = e3
% 183.99/29.02  | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | ALPHA: (210) implies:
% 183.99/29.02  | | | | | | | | | | | |   (211)  op(e3, e3) = e3
% 183.99/29.02  | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | REF_CLOSE: (14), (29), (34), (211) are inconsistent by
% 183.99/29.02  | | | | | | | | | | | |            sub-proof #55.
% 183.99/29.02  | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | Case 2:
% 183.99/29.02  | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | |   (212)  all_56_2 = e3 & op(e2, e3) = e3
% 183.99/29.02  | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | ALPHA: (212) implies:
% 183.99/29.02  | | | | | | | | | | | |   (213)  all_56_2 = e3
% 183.99/29.02  | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | BETA: splitting (16) gives:
% 183.99/29.02  | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | Case 1:
% 183.99/29.02  | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | |   (214)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 183.99/29.02  | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 183.99/29.02  | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | BETA: splitting (214) gives:
% 183.99/29.02  | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | Case 1:
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | |   (215)  all_56_0 = e2 & op(e3, e3) = e2
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | ALPHA: (215) implies:
% 183.99/29.02  | | | | | | | | | | | | | |   (216)  op(e3, e3) = e2
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | REF_CLOSE: (22), (29), (34), (216) are inconsistent by
% 183.99/29.02  | | | | | | | | | | | | | |            sub-proof #50.
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | Case 2:
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | |   (217)  all_56_2 = e2 & op(e2, e3) = e2
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | REF_CLOSE: (41), (213), (217) are inconsistent by sub-proof
% 183.99/29.02  | | | | | | | | | | | | | |            #1593.
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | Case 2:
% 183.99/29.02  | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | |   (218)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 183.99/29.02  | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 183.99/29.02  | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | BETA: splitting (218) gives:
% 183.99/29.02  | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | Case 1:
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | |   (219)  all_56_6 = e2 & op(e1, e3) = e2
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | ALPHA: (219) implies:
% 183.99/29.02  | | | | | | | | | | | | | |   (220)  all_56_6 = e2
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | BETA: splitting (7) gives:
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | Case 1:
% 183.99/29.02  | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | |   (221)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 183.99/29.02  | | | | | | | | | | | | | | |            & op(e1, e2) = e1)
% 183.99/29.02  | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 183.99/29.02  | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | Case 1:
% 183.99/29.02  | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | |   (222)  all_56_6 = e1 & op(e1, e3) = e1
% 183.99/29.02  | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | REF_CLOSE: (89), (220), (222) are inconsistent by sub-proof
% 183.99/29.02  | | | | | | | | | | | | | | | |            #996.
% 183.99/29.02  | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | Case 2:
% 183.99/29.02  | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | |   (223)  all_56_7 = e1 & op(e1, e2) = e1
% 183.99/29.02  | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | ALPHA: (223) implies:
% 183.99/29.02  | | | | | | | | | | | | | | | |   (224)  op(e1, e2) = e1
% 183.99/29.02  | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | REF_CLOSE: (29), (50), (191), (224) are inconsistent by
% 183.99/29.02  | | | | | | | | | | | | | | | |            sub-proof #834.
% 183.99/29.02  | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | Case 2:
% 183.99/29.02  | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | |   (225)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 183.99/29.02  | | | | | | | | | | | | | | |            e1 & op(e1, e0) = e1)
% 183.99/29.02  | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 183.99/29.02  | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | Case 1:
% 183.99/29.02  | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | |   (226)  all_56_8 = e1 & op(e1, e1) = e1
% 183.99/29.02  | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | ALPHA: (226) implies:
% 183.99/29.02  | | | | | | | | | | | | | | | |   (227)  op(e1, e1) = e1
% 183.99/29.02  | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | REF_CLOSE: (11), (29), (194), (227) are inconsistent by
% 183.99/29.02  | | | | | | | | | | | | | | | |            sub-proof #1541.
% 183.99/29.02  | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | Case 2:
% 183.99/29.02  | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | |   (228)  all_56_11 = e1 & op(e1, e0) = e1
% 183.99/29.02  | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | ALPHA: (228) implies:
% 183.99/29.02  | | | | | | | | | | | | | | | |   (229)  all_56_11 = e1
% 183.99/29.02  | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | BETA: splitting (20) gives:
% 183.99/29.02  | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | Case 1:
% 183.99/29.02  | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | |   (230)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 183.99/29.02  | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 183.99/29.02  | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 183.99/29.02  | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | Case 1:
% 183.99/29.02  | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | |   (231)  all_56_6 = e0 & op(e1, e3) = e0
% 183.99/29.02  | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (29), (48), (231) are inconsistent by
% 183.99/29.02  | | | | | | | | | | | | | | | | | |            sub-proof #1197.
% 183.99/29.02  | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | Case 2:
% 183.99/29.02  | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | |   (232)  all_56_7 = e0 & op(e1, e2) = e0
% 183.99/29.02  | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | | ALPHA: (232) implies:
% 183.99/29.02  | | | | | | | | | | | | | | | | | |   (233)  op(e1, e2) = e0
% 183.99/29.02  | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (203), (204), (233) are inconsistent by
% 183.99/29.02  | | | | | | | | | | | | | | | | | |            sub-proof #836.
% 183.99/29.02  | | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | Case 2:
% 183.99/29.02  | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | |   (234)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 183.99/29.02  | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 183.99/29.02  | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (14), (29), (195), (229), (234) are
% 183.99/29.02  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #835.
% 183.99/29.02  | | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | Case 2:
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | |   (235)  all_56_12 = e2 & op(e0, e3) = e2
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | ALPHA: (235) implies:
% 183.99/29.02  | | | | | | | | | | | | | |   (236)  all_56_12 = e2
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | | REF_CLOSE: (89), (207), (236) are inconsistent by sub-proof
% 183.99/29.02  | | | | | | | | | | | | | |            #1383.
% 183.99/29.02  | | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | Case 2:
% 183.99/29.02  | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | |   (237)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 183.99/29.02  | | | | | | | | | | |            e3 & op(e0, e3) = e3)
% 183.99/29.02  | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | BETA: splitting (237) gives:
% 183.99/29.02  | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | Case 1:
% 183.99/29.02  | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | |   (238)  all_56_6 = e3 & op(e1, e3) = e3
% 183.99/29.02  | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | ALPHA: (238) implies:
% 183.99/29.02  | | | | | | | | | | | |   (239)  op(e1, e3) = e3
% 183.99/29.02  | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | REF_CLOSE: (9), (12), (29), (239) are inconsistent by
% 183.99/29.02  | | | | | | | | | | | |            sub-proof #855.
% 183.99/29.02  | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | Case 2:
% 183.99/29.02  | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | |   (240)  all_56_12 = e3 & op(e0, e3) = e3
% 183.99/29.02  | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | ALPHA: (240) implies:
% 183.99/29.02  | | | | | | | | | | | |   (241)  op(e0, e3) = e3
% 183.99/29.02  | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | | REF_CLOSE: (27), (29), (194), (208), (241) are inconsistent
% 183.99/29.02  | | | | | | | | | | | |            by sub-proof #1529.
% 183.99/29.02  | | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | Case 2:
% 183.99/29.02  | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | |   (242)  all_56_13 = e1 & op(e0, e2) = e1
% 183.99/29.02  | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | ALPHA: (242) implies:
% 183.99/29.02  | | | | | | | | | |   (243)  op(e0, e2) = e1
% 183.99/29.02  | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | | REF_CLOSE: (29), (55), (192), (243) are inconsistent by
% 183.99/29.02  | | | | | | | | | |            sub-proof #841.
% 183.99/29.02  | | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | | 
% 183.99/29.02  | | | | | | | | Case 2:
% 183.99/29.02  | | | | | | | | | 
% 183.99/29.02  | | | | | | | | |   (244)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1
% 183.99/29.02  | | | | | | | | |            & op(e0, e0) = e1)
% 183.99/29.02  | | | | | | | | | 
% 183.99/29.02  | | | | | | | | | REF_CLOSE: (6), (10), (15), (29), (87), (244) are inconsistent
% 183.99/29.02  | | | | | | | | |            by sub-proof #1515.
% 183.99/29.02  | | | | | | | | | 
% 183.99/29.02  | | | | | | | | End of split
% 183.99/29.02  | | | | | | | | 
% 183.99/29.02  | | | | | | | End of split
% 183.99/29.02  | | | | | | | 
% 183.99/29.02  | | | | | | End of split
% 183.99/29.02  | | | | | | 
% 183.99/29.02  | | | | | End of split
% 183.99/29.02  | | | | | 
% 183.99/29.02  | | | | Case 2:
% 183.99/29.02  | | | | | 
% 183.99/29.02  | | | | |   (245)  all_54_2 = e0
% 183.99/29.02  | | | | | 
% 183.99/29.02  | | | | | COMBINE_EQS: (66), (245) imply:
% 183.99/29.02  | | | | |   (246)  all_16_1 = e0
% 183.99/29.02  | | | | | 
% 183.99/29.02  | | | | | REDUCE: (73), (246) imply:
% 183.99/29.02  | | | | |   (247)  $false
% 183.99/29.02  | | | | | 
% 183.99/29.02  | | | | | CLOSE: (247) is inconsistent.
% 183.99/29.02  | | | | | 
% 183.99/29.02  | | | | End of split
% 183.99/29.02  | | | | 
% 183.99/29.02  | | | End of split
% 183.99/29.02  | | | 
% 183.99/29.02  | | End of split
% 183.99/29.02  | | 
% 183.99/29.02  | End of split
% 183.99/29.02  | 
% 183.99/29.02  End of proof
% 183.99/29.02  
% 183.99/29.02  Sub-proof #23 shows that the following formulas are inconsistent:
% 183.99/29.02  ----------------------------------------------------------------
% 183.99/29.02    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.02    (2)  op(e1, e1) = all_57_30
% 183.99/29.02    (3)  op(e1, e1) = e3
% 183.99/29.02    (4)   ~ (all_57_30 = e3)
% 183.99/29.02  
% 183.99/29.02  Begin of proof
% 183.99/29.02  | 
% 183.99/29.02  | GROUND_INST: instantiating (1) with e3, all_57_30, e1, e1, simplifying with
% 183.99/29.02  |              (2), (3) gives:
% 183.99/29.02  |   (5)  all_57_30 = e3
% 183.99/29.02  | 
% 183.99/29.02  | REDUCE: (4), (5) imply:
% 183.99/29.02  |   (6)  $false
% 183.99/29.02  | 
% 183.99/29.02  | CLOSE: (6) is inconsistent.
% 183.99/29.02  | 
% 183.99/29.02  End of proof
% 183.99/29.02  
% 183.99/29.02  Sub-proof #24 shows that the following formulas are inconsistent:
% 183.99/29.02  ----------------------------------------------------------------
% 183.99/29.02    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.02    (2)  op(e3, e3) = e0
% 183.99/29.02    (3)   ~ (e3 = e2)
% 183.99/29.02    (4)  op(e3, e2) = e3
% 183.99/29.02    (5)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 183.99/29.02             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.99/29.02           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 183.99/29.02             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 183.99/29.02           all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 183.99/29.02           & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 183.99/29.02           $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2
% 183.99/29.02           & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 183.99/29.02           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.99/29.02             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 183.99/29.02             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 183.99/29.02           op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 183.99/29.02           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 183.99/29.02           $i(all_57_29))
% 183.99/29.02  
% 183.99/29.02  Begin of proof
% 183.99/29.02  | 
% 183.99/29.02  | BETA: splitting (5) gives:
% 183.99/29.02  | 
% 183.99/29.02  | Case 1:
% 183.99/29.02  | | 
% 183.99/29.02  | |   (6)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0
% 183.99/29.02  | |          = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 =
% 183.99/29.02  | |          e0) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 &
% 183.99/29.02  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 183.99/29.02  | |        all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) =
% 183.99/29.02  | |        e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 183.99/29.02  | |        $i(all_57_17) & $i(all_57_28)
% 183.99/29.02  | | 
% 183.99/29.02  | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #25.
% 183.99/29.02  | | 
% 183.99/29.02  | Case 2:
% 183.99/29.02  | | 
% 183.99/29.02  | |   (7)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5
% 183.99/29.02  | |          = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 183.99/29.02  | |          e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 183.99/29.02  | |          all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) =
% 183.99/29.02  | |        e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 183.99/29.02  | |        all_57_21 & $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.99/29.02  | |        $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 183.99/29.02  | | 
% 183.99/29.02  | | ALPHA: (7) implies:
% 183.99/29.02  | |   (8)  op(e3, e2) = e2
% 183.99/29.02  | | 
% 183.99/29.02  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #166.
% 183.99/29.02  | | 
% 183.99/29.02  | End of split
% 183.99/29.02  | 
% 183.99/29.02  End of proof
% 183.99/29.02  
% 183.99/29.02  Sub-proof #25 shows that the following formulas are inconsistent:
% 183.99/29.03  ----------------------------------------------------------------
% 183.99/29.03    (1)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 183.99/29.03           e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.99/29.03         op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 183.99/29.03           all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.99/29.03         & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 183.99/29.03         $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 183.99/29.03         $i(all_57_17) & $i(all_57_28)
% 183.99/29.03    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.03    (3)  op(e3, e3) = e0
% 183.99/29.03  
% 183.99/29.03  Begin of proof
% 183.99/29.03  | 
% 183.99/29.03  | ALPHA: (1) implies:
% 183.99/29.03  |   (4)   ~ (all_57_28 = e0)
% 183.99/29.03  |   (5)  op(e3, e3) = all_57_28
% 183.99/29.03  | 
% 183.99/29.03  | GROUND_INST: instantiating (2) with e0, all_57_28, e3, e3, simplifying with
% 183.99/29.03  |              (3), (5) gives:
% 183.99/29.03  |   (6)  all_57_28 = e0
% 183.99/29.03  | 
% 183.99/29.03  | REDUCE: (4), (6) imply:
% 183.99/29.03  |   (7)  $false
% 183.99/29.03  | 
% 183.99/29.03  | CLOSE: (7) is inconsistent.
% 183.99/29.03  | 
% 183.99/29.03  End of proof
% 183.99/29.03  
% 183.99/29.03  Sub-proof #26 shows that the following formulas are inconsistent:
% 183.99/29.03  ----------------------------------------------------------------
% 183.99/29.03    (1)  all_56_4 = e2 & op(e3, e1) = e2
% 183.99/29.03    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.03    (3)  op(e3, e1) = all_16_1
% 183.99/29.03    (4)   ~ (all_16_1 = e2)
% 183.99/29.03  
% 183.99/29.03  Begin of proof
% 183.99/29.03  | 
% 183.99/29.03  | ALPHA: (1) implies:
% 183.99/29.03  |   (5)  op(e3, e1) = e2
% 183.99/29.03  | 
% 183.99/29.03  | GROUND_INST: instantiating (2) with e2, all_16_1, e1, e3, simplifying with
% 183.99/29.03  |              (3), (5) gives:
% 183.99/29.03  |   (6)  all_16_1 = e2
% 183.99/29.03  | 
% 183.99/29.03  | REDUCE: (4), (6) imply:
% 183.99/29.03  |   (7)  $false
% 183.99/29.03  | 
% 183.99/29.03  | CLOSE: (7) is inconsistent.
% 183.99/29.03  | 
% 183.99/29.03  End of proof
% 183.99/29.03  
% 183.99/29.03  Sub-proof #27 shows that the following formulas are inconsistent:
% 183.99/29.03  ----------------------------------------------------------------
% 183.99/29.03    (1)   ~ (all_16_0 = e0) & op(e3, e3) = all_16_0 & $i(all_16_0)
% 183.99/29.03    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.03    (3)  op(e3, e3) = e0
% 183.99/29.03  
% 183.99/29.03  Begin of proof
% 183.99/29.03  | 
% 183.99/29.03  | ALPHA: (1) implies:
% 183.99/29.03  |   (4)   ~ (all_16_0 = e0)
% 183.99/29.03  |   (5)  op(e3, e3) = all_16_0
% 183.99/29.03  | 
% 183.99/29.03  | GROUND_INST: instantiating (2) with e0, all_16_0, e3, e3, simplifying with
% 183.99/29.03  |              (3), (5) gives:
% 183.99/29.03  |   (6)  all_16_0 = e0
% 183.99/29.03  | 
% 183.99/29.03  | REDUCE: (4), (6) imply:
% 183.99/29.03  |   (7)  $false
% 183.99/29.03  | 
% 183.99/29.03  | CLOSE: (7) is inconsistent.
% 183.99/29.03  | 
% 183.99/29.03  End of proof
% 183.99/29.03  
% 183.99/29.03  Sub-proof #28 shows that the following formulas are inconsistent:
% 183.99/29.03  ----------------------------------------------------------------
% 183.99/29.03    (1)  all_56_6 = e2
% 183.99/29.03    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 183.99/29.03         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 183.99/29.03    (3)   ~ (e1 = e0)
% 183.99/29.03    (4)   ~ (e3 = e0)
% 183.99/29.03    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 183.99/29.03         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 183.99/29.03    (6)   ~ (e2 = e0)
% 183.99/29.03    (7)   ~ (e3 = e1)
% 183.99/29.03    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.03    (9)   ~ (e3 = e2)
% 183.99/29.03    (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 183.99/29.03          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 183.99/29.03    (11)  op(e1, e1) = e2
% 183.99/29.03    (12)   ~ (e2 = e1)
% 183.99/29.03  
% 183.99/29.03  Begin of proof
% 183.99/29.03  | 
% 183.99/29.03  | BETA: splitting (5) gives:
% 183.99/29.03  | 
% 183.99/29.03  | Case 1:
% 183.99/29.03  | | 
% 183.99/29.03  | |   (13)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 183.99/29.03  | |           e0)
% 183.99/29.03  | | 
% 183.99/29.03  | | BETA: splitting (13) gives:
% 183.99/29.03  | | 
% 183.99/29.03  | | Case 1:
% 183.99/29.03  | | | 
% 183.99/29.03  | | |   (14)  all_56_6 = e0 & op(e1, e3) = e0
% 183.99/29.03  | | | 
% 183.99/29.03  | | | ALPHA: (14) implies:
% 183.99/29.03  | | |   (15)  all_56_6 = e0
% 183.99/29.03  | | | 
% 183.99/29.03  | | | REF_CLOSE: (1), (6), (15) are inconsistent by sub-proof #1592.
% 183.99/29.03  | | | 
% 183.99/29.03  | | Case 2:
% 183.99/29.03  | | | 
% 183.99/29.03  | | |   (16)  all_56_7 = e0 & op(e1, e2) = e0
% 183.99/29.03  | | | 
% 183.99/29.03  | | | ALPHA: (16) implies:
% 183.99/29.03  | | |   (17)  op(e1, e2) = e0
% 183.99/29.03  | | | 
% 183.99/29.03  | | | BETA: splitting (2) gives:
% 183.99/29.03  | | | 
% 183.99/29.03  | | | Case 1:
% 183.99/29.03  | | | | 
% 183.99/29.03  | | | |   (18)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2)
% 183.99/29.03  | | | |           = e1)
% 183.99/29.03  | | | | 
% 183.99/29.03  | | | | BETA: splitting (18) gives:
% 183.99/29.03  | | | | 
% 183.99/29.03  | | | | Case 1:
% 183.99/29.03  | | | | | 
% 183.99/29.03  | | | | |   (19)  all_56_6 = e1 & op(e1, e3) = e1
% 183.99/29.03  | | | | | 
% 183.99/29.03  | | | | | ALPHA: (19) implies:
% 183.99/29.03  | | | | |   (20)  all_56_6 = e1
% 183.99/29.03  | | | | | 
% 183.99/29.03  | | | | | REF_CLOSE: (1), (12), (20) are inconsistent by sub-proof #1215.
% 183.99/29.03  | | | | | 
% 183.99/29.03  | | | | Case 2:
% 183.99/29.03  | | | | | 
% 183.99/29.03  | | | | |   (21)  all_56_7 = e1 & op(e1, e2) = e1
% 183.99/29.03  | | | | | 
% 183.99/29.03  | | | | | ALPHA: (21) implies:
% 183.99/29.03  | | | | |   (22)  op(e1, e2) = e1
% 183.99/29.03  | | | | | 
% 183.99/29.03  | | | | | REF_CLOSE: (3), (8), (17), (22) are inconsistent by sub-proof #863.
% 183.99/29.03  | | | | | 
% 183.99/29.03  | | | | End of split
% 183.99/29.03  | | | | 
% 183.99/29.03  | | | Case 2:
% 183.99/29.03  | | | | 
% 183.99/29.03  | | | |   (23)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0)
% 183.99/29.03  | | | |           = e1)
% 183.99/29.03  | | | | 
% 183.99/29.03  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 183.99/29.03  | | | |            (12), (23) are inconsistent by sub-proof #758.
% 183.99/29.03  | | | | 
% 183.99/29.03  | | | End of split
% 183.99/29.03  | | | 
% 183.99/29.03  | | End of split
% 183.99/29.03  | | 
% 183.99/29.03  | Case 2:
% 183.99/29.03  | | 
% 183.99/29.03  | |   (24)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 183.99/29.03  | |           e0)
% 183.99/29.03  | | 
% 183.99/29.03  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (24)
% 183.99/29.03  | |            are inconsistent by sub-proof #696.
% 183.99/29.03  | | 
% 183.99/29.03  | End of split
% 183.99/29.03  | 
% 183.99/29.03  End of proof
% 183.99/29.03  
% 183.99/29.03  Sub-proof #29 shows that the following formulas are inconsistent:
% 183.99/29.03  ----------------------------------------------------------------
% 183.99/29.03    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 183.99/29.03    (2)  all_56_10 = e2
% 183.99/29.03    (3)   ~ (e1 = e0)
% 183.99/29.03    (4)   ~ (e3 = e0)
% 183.99/29.03    (5)   ~ (e2 = e0)
% 183.99/29.03    (6)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 183.99/29.03         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 183.99/29.03    (7)   ~ (e3 = e1)
% 183.99/29.03    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.03    (9)  op(e3, e3) = e0
% 183.99/29.03    (10)  op(e2, e2) = e1
% 183.99/29.03    (11)   ~ (e3 = e2)
% 183.99/29.03    (12)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 183.99/29.03          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 183.99/29.03  
% 183.99/29.03  Begin of proof
% 183.99/29.03  | 
% 183.99/29.03  | BETA: splitting (1) gives:
% 183.99/29.03  | 
% 183.99/29.03  | Case 1:
% 183.99/29.03  | | 
% 183.99/29.03  | |   (13)  all_56_0 = e2 & op(e3, e3) = e2
% 183.99/29.03  | | 
% 183.99/29.03  | | ALPHA: (13) implies:
% 183.99/29.03  | |   (14)  op(e3, e3) = e2
% 183.99/29.03  | | 
% 183.99/29.03  | | REF_CLOSE: (5), (8), (9), (14) are inconsistent by sub-proof #50.
% 183.99/29.03  | | 
% 183.99/29.03  | Case 2:
% 183.99/29.03  | | 
% 183.99/29.03  | |   (15)  all_56_2 = e2 & op(e2, e3) = e2
% 183.99/29.03  | | 
% 183.99/29.03  | | ALPHA: (15) implies:
% 183.99/29.03  | |   (16)  all_56_2 = e2
% 183.99/29.03  | |   (17)  op(e2, e3) = e2
% 183.99/29.03  | | 
% 183.99/29.03  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (16), (17)
% 183.99/29.03  | |            are inconsistent by sub-proof #734.
% 183.99/29.03  | | 
% 183.99/29.03  | End of split
% 183.99/29.03  | 
% 183.99/29.03  End of proof
% 183.99/29.03  
% 183.99/29.03  Sub-proof #30 shows that the following formulas are inconsistent:
% 183.99/29.03  ----------------------------------------------------------------
% 183.99/29.03    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.03    (2)  op(e0, e1) = all_57_27
% 183.99/29.03    (3)  op(e0, e1) = e0
% 183.99/29.03    (4)   ~ (all_57_27 = e0)
% 183.99/29.03  
% 183.99/29.03  Begin of proof
% 183.99/29.03  | 
% 183.99/29.03  | GROUND_INST: instantiating (1) with e0, all_57_27, e1, e0, simplifying with
% 183.99/29.03  |              (2), (3) gives:
% 183.99/29.03  |   (5)  all_57_27 = e0
% 183.99/29.03  | 
% 183.99/29.03  | REDUCE: (4), (5) imply:
% 183.99/29.03  |   (6)  $false
% 183.99/29.03  | 
% 183.99/29.03  | CLOSE: (6) is inconsistent.
% 183.99/29.03  | 
% 183.99/29.03  End of proof
% 183.99/29.03  
% 183.99/29.03  Sub-proof #31 shows that the following formulas are inconsistent:
% 183.99/29.03  ----------------------------------------------------------------
% 183.99/29.03    (1)   ~ (e1 = e0)
% 183.99/29.03    (2)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 183.99/29.03    (3)   ~ (all_10_2 = e0)
% 183.99/29.03    (4)   ~ (all_10_2 = e1)
% 183.99/29.03    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.03    (6)  all_54_5 = all_10_2
% 183.99/29.03    (7)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 183.99/29.03    (8)  op(e3, e3) = e0
% 183.99/29.03    (9)   ~ (all_10_2 = e3)
% 183.99/29.03    (10)  op(e2, e2) = all_10_2
% 183.99/29.03  
% 183.99/29.03  Begin of proof
% 183.99/29.03  | 
% 183.99/29.03  | BETA: splitting (7) gives:
% 183.99/29.03  | 
% 183.99/29.03  | Case 1:
% 183.99/29.03  | | 
% 183.99/29.03  | |   (11)  all_57_28 = e1 & op(e3, e3) = e1
% 183.99/29.03  | | 
% 183.99/29.03  | | ALPHA: (11) implies:
% 183.99/29.03  | |   (12)  op(e3, e3) = e1
% 183.99/29.03  | | 
% 183.99/29.03  | | REF_CLOSE: (1), (5), (8), (12) are inconsistent by sub-proof #49.
% 183.99/29.03  | | 
% 183.99/29.03  | Case 2:
% 183.99/29.03  | | 
% 183.99/29.03  | |   (13)  all_57_29 = e1 & op(e2, e2) = e1
% 183.99/29.03  | | 
% 183.99/29.03  | | ALPHA: (13) implies:
% 183.99/29.03  | |   (14)  op(e2, e2) = e1
% 183.99/29.03  | | 
% 183.99/29.03  | | REF_CLOSE: (2), (3), (4), (5), (6), (9), (10), (14) are inconsistent by
% 183.99/29.03  | |            sub-proof #1270.
% 183.99/29.03  | | 
% 183.99/29.03  | End of split
% 183.99/29.03  | 
% 183.99/29.03  End of proof
% 183.99/29.03  
% 183.99/29.03  Sub-proof #32 shows that the following formulas are inconsistent:
% 183.99/29.03  ----------------------------------------------------------------
% 183.99/29.03    (1)   ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 & $i(all_57_26)
% 183.99/29.03    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.03    (3)  op(e0, e2) = e0
% 183.99/29.03  
% 183.99/29.03  Begin of proof
% 183.99/29.03  | 
% 183.99/29.03  | ALPHA: (1) implies:
% 183.99/29.03  |   (4)   ~ (all_57_26 = e0)
% 183.99/29.03  |   (5)  op(e0, e2) = all_57_26
% 183.99/29.03  | 
% 183.99/29.03  | GROUND_INST: instantiating (2) with e0, all_57_26, e2, e0, simplifying with
% 183.99/29.03  |              (3), (5) gives:
% 183.99/29.03  |   (6)  all_57_26 = e0
% 183.99/29.03  | 
% 183.99/29.03  | REDUCE: (4), (6) imply:
% 183.99/29.03  |   (7)  $false
% 183.99/29.03  | 
% 183.99/29.03  | CLOSE: (7) is inconsistent.
% 183.99/29.03  | 
% 183.99/29.03  End of proof
% 183.99/29.03  
% 183.99/29.03  Sub-proof #33 shows that the following formulas are inconsistent:
% 183.99/29.03  ----------------------------------------------------------------
% 183.99/29.03    (1)   ~ (e1 = e0)
% 183.99/29.03    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.04    (3)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 183.99/29.04    (4)  op(e3, e3) = e0
% 183.99/29.04    (5)   ~ (e2 = e1)
% 183.99/29.04    (6)  op(e2, e2) = e2
% 183.99/29.04  
% 183.99/29.04  Begin of proof
% 183.99/29.04  | 
% 183.99/29.04  | BETA: splitting (3) gives:
% 183.99/29.04  | 
% 183.99/29.04  | Case 1:
% 183.99/29.04  | | 
% 183.99/29.04  | |   (7)  all_57_28 = e1 & op(e3, e3) = e1
% 183.99/29.04  | | 
% 183.99/29.04  | | ALPHA: (7) implies:
% 183.99/29.04  | |   (8)  op(e3, e3) = e1
% 183.99/29.04  | | 
% 183.99/29.04  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #49.
% 183.99/29.04  | | 
% 183.99/29.04  | Case 2:
% 183.99/29.04  | | 
% 183.99/29.04  | |   (9)  all_57_29 = e1 & op(e2, e2) = e1
% 183.99/29.04  | | 
% 183.99/29.04  | | ALPHA: (9) implies:
% 183.99/29.04  | |   (10)  op(e2, e2) = e1
% 183.99/29.04  | | 
% 183.99/29.04  | | REF_CLOSE: (2), (5), (6), (10) are inconsistent by sub-proof #1487.
% 183.99/29.04  | | 
% 183.99/29.04  | End of split
% 183.99/29.04  | 
% 183.99/29.04  End of proof
% 183.99/29.04  
% 183.99/29.04  Sub-proof #34 shows that the following formulas are inconsistent:
% 183.99/29.04  ----------------------------------------------------------------
% 183.99/29.04    (1)   ~ (all_10_2 = e0)
% 183.99/29.04    (2)  op(e2, e3) = all_52_1
% 183.99/29.04    (3)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 183.99/29.04    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.04    (5)   ~ (all_52_1 = e0)
% 183.99/29.04    (6)  op(e2, e2) = all_10_2
% 183.99/29.04  
% 183.99/29.04  Begin of proof
% 183.99/29.04  | 
% 183.99/29.04  | BETA: splitting (3) gives:
% 183.99/29.04  | 
% 183.99/29.04  | Case 1:
% 183.99/29.04  | | 
% 183.99/29.04  | |   (7)  all_56_2 = e0 & op(e2, e3) = e0
% 183.99/29.04  | | 
% 183.99/29.04  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #930.
% 183.99/29.04  | | 
% 183.99/29.04  | Case 2:
% 183.99/29.04  | | 
% 183.99/29.04  | |   (8)  all_56_3 = e0 & op(e2, e2) = e0
% 183.99/29.04  | | 
% 183.99/29.04  | | ALPHA: (8) implies:
% 183.99/29.04  | |   (9)  op(e2, e2) = e0
% 183.99/29.04  | | 
% 183.99/29.04  | | REF_CLOSE: (1), (4), (6), (9) are inconsistent by sub-proof #1623.
% 183.99/29.04  | | 
% 183.99/29.04  | End of split
% 183.99/29.04  | 
% 183.99/29.04  End of proof
% 183.99/29.04  
% 183.99/29.04  Sub-proof #35 shows that the following formulas are inconsistent:
% 183.99/29.04  ----------------------------------------------------------------
% 183.99/29.04    (1)   ~ (e1 = e0)
% 183.99/29.04    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.04    (3)  op(e2, e2) = e1
% 183.99/29.04    (4)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 183.99/29.04    (5)  op(e3, e2) = all_52_4
% 183.99/29.04    (6)   ~ (all_52_4 = e0)
% 183.99/29.04  
% 183.99/29.04  Begin of proof
% 183.99/29.04  | 
% 183.99/29.04  | BETA: splitting (4) gives:
% 183.99/29.04  | 
% 183.99/29.04  | Case 1:
% 183.99/29.04  | | 
% 183.99/29.04  | |   (7)  all_56_1 = e0 & op(e3, e2) = e0
% 183.99/29.04  | | 
% 183.99/29.04  | | REF_CLOSE: (2), (5), (6), (7) are inconsistent by sub-proof #1466.
% 183.99/29.04  | | 
% 183.99/29.04  | Case 2:
% 183.99/29.04  | | 
% 183.99/29.04  | |   (8)  all_56_3 = e0 & op(e2, e2) = e0
% 183.99/29.04  | | 
% 183.99/29.04  | | ALPHA: (8) implies:
% 183.99/29.04  | |   (9)  op(e2, e2) = e0
% 183.99/29.04  | | 
% 183.99/29.04  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #1310.
% 183.99/29.04  | | 
% 183.99/29.04  | End of split
% 183.99/29.04  | 
% 183.99/29.04  End of proof
% 183.99/29.04  
% 183.99/29.04  Sub-proof #36 shows that the following formulas are inconsistent:
% 183.99/29.04  ----------------------------------------------------------------
% 183.99/29.04    (1)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 183.99/29.04    (2)  op(e2, e2) = all_57_29
% 183.99/29.04    (3)   ~ (e2 = e0)
% 183.99/29.04    (4)   ~ (all_57_29 = e2)
% 183.99/29.04    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.04    (6)  op(e3, e3) = e0
% 183.99/29.04  
% 183.99/29.04  Begin of proof
% 183.99/29.04  | 
% 183.99/29.04  | BETA: splitting (1) gives:
% 183.99/29.04  | 
% 183.99/29.04  | Case 1:
% 183.99/29.04  | | 
% 183.99/29.04  | |   (7)  all_57_28 = e2 & op(e3, e3) = e2
% 183.99/29.04  | | 
% 183.99/29.04  | | ALPHA: (7) implies:
% 183.99/29.04  | |   (8)  op(e3, e3) = e2
% 183.99/29.04  | | 
% 183.99/29.04  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #50.
% 183.99/29.04  | | 
% 183.99/29.04  | Case 2:
% 183.99/29.04  | | 
% 183.99/29.04  | |   (9)  all_57_29 = e2 & op(e2, e2) = e2
% 183.99/29.04  | | 
% 183.99/29.04  | | ALPHA: (9) implies:
% 183.99/29.04  | |   (10)  op(e2, e2) = e2
% 183.99/29.04  | | 
% 183.99/29.04  | | REF_CLOSE: (2), (4), (5), (10) are inconsistent by sub-proof #1043.
% 183.99/29.04  | | 
% 183.99/29.04  | End of split
% 183.99/29.04  | 
% 183.99/29.04  End of proof
% 183.99/29.04  
% 183.99/29.04  Sub-proof #37 shows that the following formulas are inconsistent:
% 183.99/29.04  ----------------------------------------------------------------
% 183.99/29.04    (1)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 183.99/29.04    (2)   ~ (e2 = e0)
% 183.99/29.04    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.04    (4)  op(e3, e3) = e0
% 183.99/29.04    (5)  op(e2, e2) = e1
% 183.99/29.04    (6)   ~ (e2 = e1)
% 183.99/29.04  
% 183.99/29.04  Begin of proof
% 183.99/29.04  | 
% 183.99/29.04  | BETA: splitting (1) gives:
% 183.99/29.04  | 
% 183.99/29.04  | Case 1:
% 183.99/29.04  | | 
% 183.99/29.04  | |   (7)  all_57_28 = e2 & op(e3, e3) = e2
% 183.99/29.04  | | 
% 183.99/29.04  | | ALPHA: (7) implies:
% 183.99/29.04  | |   (8)  op(e3, e3) = e2
% 183.99/29.04  | | 
% 183.99/29.04  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #50.
% 183.99/29.04  | | 
% 183.99/29.04  | Case 2:
% 183.99/29.04  | | 
% 183.99/29.04  | |   (9)  all_57_29 = e2 & op(e2, e2) = e2
% 183.99/29.04  | | 
% 183.99/29.04  | | ALPHA: (9) implies:
% 183.99/29.04  | |   (10)  op(e2, e2) = e2
% 183.99/29.04  | | 
% 183.99/29.04  | | REF_CLOSE: (3), (5), (6), (10) are inconsistent by sub-proof #1487.
% 183.99/29.04  | | 
% 183.99/29.04  | End of split
% 183.99/29.04  | 
% 183.99/29.04  End of proof
% 183.99/29.04  
% 183.99/29.04  Sub-proof #38 shows that the following formulas are inconsistent:
% 183.99/29.04  ----------------------------------------------------------------
% 183.99/29.04    (1)  op(e0, e0) = all_6_2
% 183.99/29.04    (2)   ~ (all_6_2 = e1)
% 183.99/29.04    (3)   ~ (all_52_6 = all_52_14)
% 183.99/29.04    (4)   ~ (e1 = e0)
% 183.99/29.04    (5)  op(e1, e0) = all_52_14
% 183.99/29.04    (6)   ~ (all_52_12 = e2)
% 183.99/29.04    (7)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 183.99/29.04         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 183.99/29.04    (8)   ~ (all_52_14 = e1)
% 183.99/29.04    (9)  op(e3, e0) = all_52_12
% 183.99/29.04    (10)  all_54_13 = all_52_7
% 183.99/29.04    (11)   ~ (all_52_6 = all_52_7)
% 183.99/29.04    (12)   ~ (all_52_12 = all_52_13)
% 183.99/29.04    (13)   ~ (all_52_7 = e0)
% 183.99/29.04    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.04            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.04    (15)   ~ (all_52_6 = e2)
% 183.99/29.04    (16)  all_54_9 = all_52_6
% 183.99/29.04    (17)   ~ (all_52_12 = e3)
% 183.99/29.04    (18)  op(e2, e0) = all_52_13
% 183.99/29.04    (19)  all_57_26 = e1
% 183.99/29.04    (20)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 183.99/29.04    (21)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8
% 183.99/29.04              = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 =
% 183.99/29.04              e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.99/29.04            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.99/29.04            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.99/29.04            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 183.99/29.04            $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 183.99/29.04            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 183.99/29.04            & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 183.99/29.04            op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.99/29.04            all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.99/29.04            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.99/29.04            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.99/29.04                op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.99/29.04                e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 183.99/29.04    (22)  all_54_3 = all_52_12
% 183.99/29.04    (23)   ~ (all_52_6 = e3)
% 183.99/29.04    (24)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 183.99/29.04    (25)   ~ (all_52_12 = e0)
% 183.99/29.04    (26)  all_54_13 = e1 | all_54_13 = e0
% 183.99/29.04  
% 183.99/29.04  Begin of proof
% 183.99/29.04  | 
% 183.99/29.04  | BETA: splitting (20) gives:
% 183.99/29.04  | 
% 183.99/29.04  | Case 1:
% 183.99/29.04  | | 
% 183.99/29.04  | |   (27)  all_54_3 = e3
% 183.99/29.04  | | 
% 183.99/29.04  | | REF_CLOSE: (17), (22), (27) are inconsistent by sub-proof #809.
% 183.99/29.04  | | 
% 183.99/29.04  | Case 2:
% 183.99/29.04  | | 
% 183.99/29.04  | |   (28)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 183.99/29.04  | | 
% 183.99/29.04  | | BETA: splitting (28) gives:
% 183.99/29.04  | | 
% 183.99/29.04  | | Case 1:
% 183.99/29.04  | | | 
% 183.99/29.04  | | |   (29)  all_54_3 = e2
% 183.99/29.04  | | | 
% 183.99/29.04  | | | REF_CLOSE: (6), (22), (29) are inconsistent by sub-proof #748.
% 183.99/29.04  | | | 
% 183.99/29.04  | | Case 2:
% 183.99/29.04  | | | 
% 183.99/29.04  | | |   (30)  all_54_3 = e1 | all_54_3 = e0
% 183.99/29.04  | | | 
% 183.99/29.04  | | | BETA: splitting (7) gives:
% 183.99/29.04  | | | 
% 183.99/29.04  | | | Case 1:
% 183.99/29.04  | | | | 
% 183.99/29.04  | | | |   (31)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0)
% 183.99/29.04  | | | |           = e1)
% 183.99/29.04  | | | | 
% 183.99/29.04  | | | | BETA: splitting (31) gives:
% 183.99/29.04  | | | | 
% 183.99/29.04  | | | | Case 1:
% 183.99/29.04  | | | | | 
% 183.99/29.04  | | | | |   (32)  all_56_9 = e1 & op(e3, e0) = e1
% 183.99/29.04  | | | | | 
% 183.99/29.04  | | | | | ALPHA: (32) implies:
% 183.99/29.04  | | | | |   (33)  all_56_9 = e1
% 183.99/29.04  | | | | | 
% 183.99/29.04  | | | | | BETA: splitting (21) gives:
% 183.99/29.04  | | | | | 
% 183.99/29.04  | | | | | Case 1:
% 183.99/29.04  | | | | | | 
% 183.99/29.04  | | | | | |   (34)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 183.99/29.04  | | | | | |         (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &
% 183.99/29.04  | | | | | |          ~ (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.99/29.04  | | | | | |           all_57_23) = all_57_9 & op(e1, all_57_30) = all_57_10 &
% 183.99/29.04  | | | | | |         op(e1, e3) = all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 183.99/29.04  | | | | | |         = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) & $i(all_57_9)
% 183.99/29.04  | | | | | |         & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 183.99/29.04  | | | | | |         $i(all_57_30)
% 183.99/29.04  | | | | | | 
% 183.99/29.04  | | | | | | ALPHA: (34) implies:
% 183.99/29.04  | | | | | |   (35)  op(e1, e0) = e1
% 183.99/29.04  | | | | | | 
% 183.99/29.04  | | | | | | REF_CLOSE: (5), (8), (14), (35) are inconsistent by sub-proof #1609.
% 183.99/29.04  | | | | | | 
% 183.99/29.04  | | | | | Case 2:
% 183.99/29.04  | | | | | | 
% 183.99/29.04  | | | | | |   (36)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 183.99/29.04  | | | | | |           e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 183.99/29.04  | | | | | |         & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) =
% 183.99/29.04  | | | | | |         all_57_14 & op(e0, all_57_31) = all_57_15 & op(e0, e3) =
% 183.99/29.04  | | | | | |         all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 183.99/29.04  | | | | | |         & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.99/29.04  | | | | | |         $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.99/29.04  | | | | | |         $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 &
% 183.99/29.04  | | | | | |             all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 = e0 &
% 183.99/29.04  | | | | | |             all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 183.99/29.04  | | | | | |             all_57_27 = e0 & op(e1, e0) = e0))
% 183.99/29.04  | | | | | | 
% 183.99/29.04  | | | | | | ALPHA: (36) implies:
% 183.99/29.04  | | | | | |   (37)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 183.99/29.04  | | | | | |             e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 183.99/29.04  | | | | | |             e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 183.99/29.04  | | | | | |             e0) = e0)
% 183.99/29.04  | | | | | | 
% 183.99/29.04  | | | | | | BETA: splitting (37) gives:
% 183.99/29.04  | | | | | | 
% 183.99/29.04  | | | | | | Case 1:
% 183.99/29.04  | | | | | | | 
% 183.99/29.04  | | | | | | |   (38)  all_57_31 = e0
% 183.99/29.04  | | | | | | | 
% 183.99/29.04  | | | | | | | REF_CLOSE: (5), (8), (14), (21), (38) are inconsistent by
% 183.99/29.04  | | | | | | |            sub-proof #1583.
% 183.99/29.04  | | | | | | | 
% 183.99/29.04  | | | | | | Case 2:
% 183.99/29.04  | | | | | | | 
% 183.99/29.04  | | | | | | |   (39)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 183.99/29.04  | | | | | | |         (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 183.99/29.04  | | | | | | |         (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)
% 183.99/29.04  | | | | | | | 
% 183.99/29.04  | | | | | | | BETA: splitting (39) gives:
% 183.99/29.04  | | | | | | | 
% 183.99/29.04  | | | | | | | Case 1:
% 183.99/29.04  | | | | | | | | 
% 183.99/29.04  | | | | | | | |   (40)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 183.99/29.04  | | | | | | | | 
% 183.99/29.04  | | | | | | | | ALPHA: (40) implies:
% 183.99/29.04  | | | | | | | |   (41)  op(e3, e0) = e0
% 183.99/29.04  | | | | | | | | 
% 183.99/29.04  | | | | | | | | REF_CLOSE: (9), (14), (25), (41) are inconsistent by sub-proof
% 183.99/29.04  | | | | | | | |            #39.
% 183.99/29.04  | | | | | | | | 
% 183.99/29.04  | | | | | | | Case 2:
% 183.99/29.04  | | | | | | | | 
% 183.99/29.04  | | | | | | | |   (42)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 183.99/29.04  | | | | | | | |         (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)
% 183.99/29.04  | | | | | | | | 
% 183.99/29.04  | | | | | | | | BETA: splitting (42) gives:
% 183.99/29.04  | | | | | | | | 
% 183.99/29.04  | | | | | | | | Case 1:
% 183.99/29.04  | | | | | | | | | 
% 183.99/29.04  | | | | | | | | |   (43)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 183.99/29.04  | | | | | | | | | 
% 183.99/29.04  | | | | | | | | | ALPHA: (43) implies:
% 183.99/29.04  | | | | | | | | |   (44)  all_57_26 = e0
% 183.99/29.04  | | | | | | | | | 
% 183.99/29.04  | | | | | | | | | COMBINE_EQS: (19), (44) imply:
% 183.99/29.04  | | | | | | | | |   (45)  e1 = e0
% 183.99/29.04  | | | | | | | | | 
% 183.99/29.04  | | | | | | | | | SIMP: (45) implies:
% 183.99/29.04  | | | | | | | | |   (46)  e1 = e0
% 183.99/29.04  | | | | | | | | | 
% 183.99/29.04  | | | | | | | | | COMBINE_EQS: (33), (46) imply:
% 183.99/29.04  | | | | | | | | |   (47)  all_56_9 = e0
% 183.99/29.04  | | | | | | | | | 
% 183.99/29.04  | | | | | | | | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (12), (14), (18),
% 183.99/29.04  | | | | | | | | |            (22), (25), (30), (47) are inconsistent by
% 183.99/29.04  | | | | | | | | |            sub-proof #266.
% 183.99/29.04  | | | | | | | | | 
% 183.99/29.04  | | | | | | | | Case 2:
% 183.99/29.04  | | | | | | | | | 
% 183.99/29.04  | | | | | | | | |   (48)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 183.99/29.04  | | | | | | | | | 
% 183.99/29.04  | | | | | | | | | ALPHA: (48) implies:
% 183.99/29.04  | | | | | | | | |   (49)  op(e1, e0) = e0
% 183.99/29.04  | | | | | | | | | 
% 183.99/29.04  | | | | | | | | | REF_CLOSE: (3), (5), (10), (11), (13), (14), (15), (16), (23),
% 183.99/29.04  | | | | | | | | |            (24), (26), (49) are inconsistent by sub-proof
% 183.99/29.04  | | | | | | | | |            #817.
% 183.99/29.04  | | | | | | | | | 
% 183.99/29.04  | | | | | | | | End of split
% 183.99/29.04  | | | | | | | | 
% 183.99/29.04  | | | | | | | End of split
% 183.99/29.04  | | | | | | | 
% 183.99/29.04  | | | | | | End of split
% 183.99/29.04  | | | | | | 
% 183.99/29.04  | | | | | End of split
% 183.99/29.04  | | | | | 
% 183.99/29.04  | | | | Case 2:
% 183.99/29.04  | | | | | 
% 183.99/29.04  | | | | |   (50)  all_56_10 = e1 & op(e2, e0) = e1
% 183.99/29.04  | | | | | 
% 183.99/29.04  | | | | | ALPHA: (50) implies:
% 183.99/29.04  | | | | |   (51)  op(e2, e0) = e1
% 183.99/29.04  | | | | | 
% 183.99/29.04  | | | | | REF_CLOSE: (12), (14), (18), (22), (25), (30), (51) are inconsistent
% 183.99/29.04  | | | | |            by sub-proof #267.
% 183.99/29.04  | | | | | 
% 183.99/29.04  | | | | End of split
% 183.99/29.04  | | | | 
% 183.99/29.04  | | | Case 2:
% 183.99/29.04  | | | | 
% 183.99/29.05  | | | |   (52)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 183.99/29.05  | | | |             e0) = e1)
% 183.99/29.05  | | | | 
% 183.99/29.05  | | | | REF_CLOSE: (1), (2), (5), (8), (14), (52) are inconsistent by sub-proof
% 183.99/29.05  | | | |            #1488.
% 183.99/29.05  | | | | 
% 183.99/29.05  | | | End of split
% 183.99/29.05  | | | 
% 183.99/29.05  | | End of split
% 183.99/29.05  | | 
% 183.99/29.05  | End of split
% 183.99/29.05  | 
% 183.99/29.05  End of proof
% 183.99/29.05  
% 183.99/29.05  Sub-proof #39 shows that the following formulas are inconsistent:
% 183.99/29.05  ----------------------------------------------------------------
% 183.99/29.05    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.05    (2)  op(e3, e0) = all_52_12
% 183.99/29.05    (3)  op(e3, e0) = e0
% 183.99/29.05    (4)   ~ (all_52_12 = e0)
% 183.99/29.05  
% 183.99/29.05  Begin of proof
% 183.99/29.05  | 
% 183.99/29.05  | GROUND_INST: instantiating (1) with all_52_12, e0, e0, e3, simplifying with
% 183.99/29.05  |              (2), (3) gives:
% 183.99/29.05  |   (5)  all_52_12 = e0
% 183.99/29.05  | 
% 183.99/29.05  | REDUCE: (4), (5) imply:
% 183.99/29.05  |   (6)  $false
% 183.99/29.05  | 
% 183.99/29.05  | CLOSE: (6) is inconsistent.
% 183.99/29.05  | 
% 183.99/29.05  End of proof
% 183.99/29.05  
% 183.99/29.05  Sub-proof #40 shows that the following formulas are inconsistent:
% 183.99/29.05  ----------------------------------------------------------------
% 183.99/29.05    (1)   ~ (all_52_8 = e3)
% 183.99/29.05    (2)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 183.99/29.05    (3)  op(e0, e3) = e2
% 183.99/29.05    (4)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 183.99/29.05             e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 183.99/29.05           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.99/29.05             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.99/29.05           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 183.99/29.05           $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 183.99/29.05           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3
% 183.99/29.05           & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 183.99/29.05           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 183.99/29.05           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.99/29.05             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 183.99/29.05             e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.99/29.05           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.99/29.05         (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 183.99/29.05             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 183.99/29.05           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 183.99/29.05             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 183.99/29.05           all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 183.99/29.05           & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 183.99/29.05           $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2
% 183.99/29.05           & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 183.99/29.05           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.99/29.05             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 183.99/29.05             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 183.99/29.05           op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 183.99/29.05           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 183.99/29.05           $i(all_57_29))
% 183.99/29.05    (5)   ~ (all_52_1 = e2)
% 183.99/29.05    (6)  op(e2, e3) = all_52_1
% 183.99/29.05    (7)  all_54_4 = all_52_1
% 183.99/29.05    (8)   ~ (all_52_1 = e3)
% 183.99/29.05    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.05    (10)   ~ (all_52_1 = e0)
% 183.99/29.05    (11)   ~ (e3 = e2)
% 183.99/29.05    (12)  op(e3, e1) = all_52_8
% 183.99/29.05    (13)  op(e2, e0) = e0
% 183.99/29.05  
% 183.99/29.05  Begin of proof
% 183.99/29.05  | 
% 183.99/29.05  | BETA: splitting (4) gives:
% 183.99/29.05  | 
% 183.99/29.05  | Case 1:
% 183.99/29.05  | | 
% 183.99/29.05  | |   (14)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~
% 183.99/29.05  | |           (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~
% 183.99/29.05  | |           (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3,
% 183.99/29.05  | |             all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.99/29.05  | |             e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) = all_57_17 &
% 183.99/29.05  | |           op(e3, e0) = all_57_18 & op(e2, e3) = e3 & $i(all_57_0) &
% 183.99/29.05  | |           $i(all_57_2) & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 183.99/29.05  | |           $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3 &
% 183.99/29.05  | |           all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 183.99/29.05  | |           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.99/29.05  | |           all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) =
% 183.99/29.05  | |           all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 183.99/29.05  | |           op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 183.99/29.05  | |           $i(all_57_0) & $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 183.99/29.05  | |           $i(all_57_18) & $i(all_57_28))
% 183.99/29.05  | | 
% 183.99/29.05  | | REF_CLOSE: (1), (6), (8), (9), (12), (14) are inconsistent by sub-proof
% 183.99/29.05  | |            #280.
% 183.99/29.05  | | 
% 183.99/29.05  | Case 2:
% 183.99/29.05  | | 
% 183.99/29.05  | |   (15)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~
% 183.99/29.05  | |           (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~
% 183.99/29.05  | |           (all_57_28 = e0) & op(e3, all_57_16) = all_57_1 & op(e3,
% 183.99/29.05  | |             all_57_17) = all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.99/29.05  | |             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) =
% 183.99/29.05  | |           all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3 & $i(all_57_0) &
% 183.99/29.05  | |           $i(all_57_1) & $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.99/29.05  | |           $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2 &
% 183.99/29.05  | |           all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 183.99/29.05  | |           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.99/29.05  | |             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 183.99/29.05  | |             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29
% 183.99/29.05  | |           & op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 183.99/29.05  | |           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 183.99/29.05  | |           $i(all_57_29))
% 183.99/29.05  | | 
% 183.99/29.05  | | BETA: splitting (15) gives:
% 183.99/29.05  | | 
% 183.99/29.05  | | Case 1:
% 183.99/29.05  | | | 
% 183.99/29.05  | | |   (16)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~
% 183.99/29.05  | | |         (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~
% 183.99/29.05  | | |         (all_57_28 = e0) & op(e3, all_57_16) = all_57_1 & op(e3,
% 183.99/29.05  | | |           all_57_17) = all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.99/29.05  | | |           e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) =
% 183.99/29.05  | | |         all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3 & $i(all_57_0) &
% 183.99/29.05  | | |         $i(all_57_1) & $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 183.99/29.05  | | |         $i(all_57_28)
% 183.99/29.05  | | | 
% 183.99/29.05  | | | ALPHA: (16) implies:
% 183.99/29.05  | | |   (17)  op(e0, e3) = e3
% 183.99/29.05  | | | 
% 183.99/29.05  | | | REF_CLOSE: (3), (9), (11), (17) are inconsistent by sub-proof #1039.
% 183.99/29.05  | | | 
% 183.99/29.05  | | Case 2:
% 183.99/29.05  | | | 
% 183.99/29.05  | | |   (18)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~
% 183.99/29.05  | | |         (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~
% 183.99/29.05  | | |         (all_57_29 = e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6
% 183.99/29.05  | | |         & op(e2, all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 183.99/29.05  | | |         op(e2, e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20
% 183.99/29.05  | | |         & op(e2, e0) = all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 183.99/29.05  | | |         $i(all_57_7) & $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 183.99/29.05  | | | 
% 183.99/29.05  | | | ALPHA: (18) implies:
% 183.99/29.05  | | |   (19)   ~ (all_57_7 = e0)
% 183.99/29.05  | | |   (20)  op(e2, e0) = all_57_21
% 183.99/29.05  | | |   (21)  op(e2, all_57_21) = all_57_7
% 183.99/29.05  | | | 
% 183.99/29.05  | | | REF_CLOSE: (2), (5), (7), (8), (9), (10), (13), (19), (20), (21) are
% 183.99/29.05  | | |            inconsistent by sub-proof #129.
% 183.99/29.05  | | | 
% 183.99/29.05  | | End of split
% 183.99/29.05  | | 
% 183.99/29.05  | End of split
% 183.99/29.05  | 
% 183.99/29.05  End of proof
% 183.99/29.05  
% 183.99/29.05  Sub-proof #41 shows that the following formulas are inconsistent:
% 183.99/29.05  ----------------------------------------------------------------
% 183.99/29.05    (1)   ~ (all_52_11 = e1)
% 183.99/29.05    (2)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 183.99/29.05    (3)  op(e0, e1) = all_52_11
% 183.99/29.05    (4)   ~ (e3 = e1)
% 183.99/29.05    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.05    (6)  op(e0, e0) = e3
% 183.99/29.05  
% 183.99/29.05  Begin of proof
% 183.99/29.05  | 
% 183.99/29.05  | BETA: splitting (2) gives:
% 183.99/29.05  | 
% 183.99/29.05  | Case 1:
% 183.99/29.05  | | 
% 183.99/29.05  | |   (7)  all_56_14 = e1 & op(e0, e1) = e1
% 183.99/29.05  | | 
% 183.99/29.05  | | ALPHA: (7) implies:
% 183.99/29.05  | |   (8)  op(e0, e1) = e1
% 183.99/29.05  | | 
% 183.99/29.05  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1517.
% 183.99/29.05  | | 
% 183.99/29.05  | Case 2:
% 183.99/29.05  | | 
% 183.99/29.05  | |   (9)  all_56_15 = e1 & op(e0, e0) = e1
% 183.99/29.05  | | 
% 183.99/29.05  | | ALPHA: (9) implies:
% 183.99/29.05  | |   (10)  op(e0, e0) = e1
% 183.99/29.05  | | 
% 183.99/29.05  | | REF_CLOSE: (4), (5), (6), (10) are inconsistent by sub-proof #108.
% 183.99/29.05  | | 
% 183.99/29.05  | End of split
% 183.99/29.05  | 
% 183.99/29.05  End of proof
% 183.99/29.05  
% 183.99/29.05  Sub-proof #42 shows that the following formulas are inconsistent:
% 183.99/29.05  ----------------------------------------------------------------
% 183.99/29.05    (1)   ~ (all_38_1 = e2) & op(e3, e0) = all_38_1 & $i(all_38_1)
% 183.99/29.05    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.05    (3)  op(e3, e0) = e2
% 183.99/29.05  
% 183.99/29.05  Begin of proof
% 183.99/29.05  | 
% 183.99/29.05  | ALPHA: (1) implies:
% 183.99/29.05  |   (4)   ~ (all_38_1 = e2)
% 183.99/29.05  |   (5)  op(e3, e0) = all_38_1
% 183.99/29.05  | 
% 183.99/29.05  | GROUND_INST: instantiating (2) with e2, all_38_1, e0, e3, simplifying with
% 183.99/29.05  |              (3), (5) gives:
% 183.99/29.05  |   (6)  all_38_1 = e2
% 183.99/29.05  | 
% 183.99/29.05  | REDUCE: (4), (6) imply:
% 183.99/29.05  |   (7)  $false
% 183.99/29.05  | 
% 183.99/29.05  | CLOSE: (7) is inconsistent.
% 183.99/29.05  | 
% 183.99/29.05  End of proof
% 183.99/29.05  
% 183.99/29.05  Sub-proof #43 shows that the following formulas are inconsistent:
% 183.99/29.05  ----------------------------------------------------------------
% 183.99/29.05    (1)   ~ (e2 = e0)
% 183.99/29.05    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.05    (3)  op(e3, e3) = e0
% 183.99/29.05    (4)  op(e3, e2) = e1
% 183.99/29.05    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 183.99/29.05    (6)   ~ (e2 = e1)
% 183.99/29.05  
% 183.99/29.05  Begin of proof
% 183.99/29.05  | 
% 183.99/29.05  | BETA: splitting (5) gives:
% 183.99/29.05  | 
% 183.99/29.05  | Case 1:
% 183.99/29.05  | | 
% 183.99/29.05  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 183.99/29.05  | | 
% 183.99/29.05  | | ALPHA: (7) implies:
% 183.99/29.05  | |   (8)  op(e3, e3) = e2
% 183.99/29.05  | | 
% 183.99/29.05  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #50.
% 183.99/29.05  | | 
% 183.99/29.05  | Case 2:
% 183.99/29.05  | | 
% 183.99/29.05  | |   (9)  all_56_1 = e2 & op(e3, e2) = e2
% 183.99/29.05  | | 
% 183.99/29.05  | | ALPHA: (9) implies:
% 183.99/29.05  | |   (10)  op(e3, e2) = e2
% 183.99/29.05  | | 
% 183.99/29.05  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1424.
% 183.99/29.05  | | 
% 183.99/29.05  | End of split
% 183.99/29.05  | 
% 183.99/29.05  End of proof
% 183.99/29.05  
% 183.99/29.05  Sub-proof #44 shows that the following formulas are inconsistent:
% 183.99/29.05  ----------------------------------------------------------------
% 183.99/29.05    (1)   ~ (all_52_4 = e3)
% 183.99/29.05    (2)  all_56_4 = e2
% 183.99/29.05    (3)   ~ (e3 = e0)
% 183.99/29.05    (4)  op(e3, e0) = all_52_12
% 183.99/29.05    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.05    (6)  op(e3, e3) = e0
% 183.99/29.05    (7)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 183.99/29.05         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 183.99/29.05    (8)   ~ (all_52_12 = e3)
% 183.99/29.05    (9)   ~ (e3 = e2)
% 183.99/29.05    (10)  op(e3, e2) = all_52_4
% 183.99/29.05  
% 183.99/29.05  Begin of proof
% 183.99/29.05  | 
% 183.99/29.05  | BETA: splitting (7) gives:
% 183.99/29.05  | 
% 183.99/29.05  | Case 1:
% 183.99/29.05  | | 
% 183.99/29.05  | |   (11)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 183.99/29.05  | |           e3)
% 183.99/29.05  | | 
% 183.99/29.05  | | REF_CLOSE: (1), (3), (5), (6), (10), (11) are inconsistent by sub-proof #45.
% 183.99/29.05  | | 
% 183.99/29.05  | Case 2:
% 183.99/29.05  | | 
% 183.99/29.05  | |   (12)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 183.99/29.05  | |           e3)
% 183.99/29.05  | | 
% 183.99/29.05  | | REF_CLOSE: (2), (4), (5), (8), (9), (12) are inconsistent by sub-proof
% 183.99/29.05  | |            #1044.
% 183.99/29.05  | | 
% 183.99/29.05  | End of split
% 183.99/29.05  | 
% 183.99/29.05  End of proof
% 183.99/29.05  
% 183.99/29.05  Sub-proof #45 shows that the following formulas are inconsistent:
% 183.99/29.05  ----------------------------------------------------------------
% 183.99/29.05    (1)   ~ (all_52_4 = e3)
% 183.99/29.05    (2)   ~ (e3 = e0)
% 183.99/29.05    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.06    (4)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 183.99/29.06    (5)  op(e3, e3) = e0
% 183.99/29.06    (6)  op(e3, e2) = all_52_4
% 183.99/29.06  
% 183.99/29.06  Begin of proof
% 183.99/29.06  | 
% 183.99/29.06  | BETA: splitting (4) gives:
% 183.99/29.06  | 
% 183.99/29.06  | Case 1:
% 183.99/29.06  | | 
% 183.99/29.06  | |   (7)  all_56_0 = e3 & op(e3, e3) = e3
% 183.99/29.06  | | 
% 183.99/29.06  | | ALPHA: (7) implies:
% 183.99/29.06  | |   (8)  op(e3, e3) = e3
% 183.99/29.06  | | 
% 183.99/29.06  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #55.
% 183.99/29.06  | | 
% 183.99/29.06  | Case 2:
% 183.99/29.06  | | 
% 183.99/29.06  | |   (9)  all_56_1 = e3 & op(e3, e2) = e3
% 183.99/29.06  | | 
% 183.99/29.06  | | ALPHA: (9) implies:
% 183.99/29.06  | |   (10)  op(e3, e2) = e3
% 183.99/29.06  | | 
% 183.99/29.06  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1603.
% 183.99/29.06  | | 
% 183.99/29.06  | End of split
% 183.99/29.06  | 
% 183.99/29.06  End of proof
% 183.99/29.06  
% 183.99/29.06  Sub-proof #46 shows that the following formulas are inconsistent:
% 183.99/29.06  ----------------------------------------------------------------
% 183.99/29.06    (1)   ~ (all_6_2 = e1)
% 183.99/29.06    (2)  op(e1, e0) = all_52_14
% 183.99/29.06    (3)  all_54_15 = all_6_2
% 183.99/29.06    (4)  op(e0, e3) = e1
% 183.99/29.06    (5)   ~ (all_52_13 = all_6_2)
% 183.99/29.06    (6)   ~ (all_52_14 = e1)
% 183.99/29.06    (7)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 183.99/29.06    (8)   ~ (all_6_2 = e2)
% 183.99/29.06    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.06           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.06    (10)  op(e2, e0) = all_52_13
% 183.99/29.06    (11)   ~ (all_52_14 = all_6_2)
% 183.99/29.06    (12)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8
% 183.99/29.06              = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 =
% 183.99/29.06              e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.99/29.06            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.99/29.06            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 183.99/29.06            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 183.99/29.06            $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 183.99/29.06            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 183.99/29.06            & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 183.99/29.06            op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 183.99/29.06            all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 183.99/29.06            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.99/29.06            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 183.99/29.06                op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.99/29.06                e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 183.99/29.06  
% 183.99/29.06  Begin of proof
% 183.99/29.06  | 
% 183.99/29.06  | BETA: splitting (12) gives:
% 183.99/29.06  | 
% 183.99/29.06  | Case 1:
% 183.99/29.06  | | 
% 183.99/29.06  | |   (13)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 183.99/29.06  | |         (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.99/29.06  | |         (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23)
% 183.99/29.06  | |         = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22
% 183.99/29.06  | |         & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1
% 183.99/29.06  | |         & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.99/29.06  | |         $i(all_57_23) & $i(all_57_30)
% 183.99/29.06  | | 
% 183.99/29.06  | | ALPHA: (13) implies:
% 183.99/29.06  | |   (14)  op(e1, e0) = e1
% 183.99/29.06  | | 
% 183.99/29.06  | | REF_CLOSE: (2), (6), (9), (14) are inconsistent by sub-proof #1609.
% 183.99/29.06  | | 
% 183.99/29.06  | Case 2:
% 183.99/29.06  | | 
% 183.99/29.06  | |   (15)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 183.99/29.06  | |         (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 183.99/29.06  | |         = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 183.99/29.06  | |         all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 183.99/29.06  | |           e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.99/29.06  | |         $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 183.99/29.06  | |         (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 183.99/29.06  | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 183.99/29.06  | |           (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 183.99/29.06  | | 
% 183.99/29.06  | | ALPHA: (15) implies:
% 183.99/29.06  | |   (16)   ~ (all_57_15 = e0)
% 183.99/29.06  | |   (17)  op(e0, e0) = all_57_31
% 183.99/29.06  | |   (18)  op(e0, e3) = all_57_25
% 183.99/29.06  | |   (19)  op(e0, all_57_31) = all_57_15
% 183.99/29.06  | |   (20)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0)
% 183.99/29.06  | |         | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 =
% 183.99/29.06  | |           e0 & all_57_27 = e0 & op(e1, e0) = e0)
% 183.99/29.06  | | 
% 183.99/29.06  | | BETA: splitting (7) gives:
% 183.99/29.06  | | 
% 183.99/29.06  | | Case 1:
% 183.99/29.06  | | | 
% 183.99/29.06  | | |   (21)  all_54_15 = e2
% 183.99/29.06  | | | 
% 183.99/29.06  | | | REF_CLOSE: (3), (8), (21) are inconsistent by sub-proof #1607.
% 183.99/29.06  | | | 
% 183.99/29.06  | | Case 2:
% 183.99/29.06  | | | 
% 183.99/29.06  | | |   (22)  all_54_15 = e1 | all_54_15 = e0
% 183.99/29.06  | | | 
% 183.99/29.06  | | | BETA: splitting (22) gives:
% 183.99/29.06  | | | 
% 183.99/29.06  | | | Case 1:
% 183.99/29.06  | | | | 
% 183.99/29.06  | | | |   (23)  all_54_15 = e1
% 183.99/29.06  | | | | 
% 183.99/29.06  | | | | REF_CLOSE: (1), (3), (23) are inconsistent by sub-proof #1606.
% 183.99/29.06  | | | | 
% 183.99/29.06  | | | Case 2:
% 183.99/29.06  | | | | 
% 183.99/29.06  | | | |   (24)  all_54_15 = e0
% 183.99/29.06  | | | | 
% 183.99/29.06  | | | | COMBINE_EQS: (3), (24) imply:
% 183.99/29.06  | | | |   (25)  all_6_2 = e0
% 183.99/29.06  | | | | 
% 183.99/29.06  | | | | SIMP: (25) implies:
% 183.99/29.06  | | | |   (26)  all_6_2 = e0
% 183.99/29.06  | | | | 
% 183.99/29.06  | | | | REDUCE: (5), (26) imply:
% 183.99/29.06  | | | |   (27)   ~ (all_52_13 = e0)
% 183.99/29.06  | | | | 
% 183.99/29.06  | | | | REDUCE: (11), (26) imply:
% 183.99/29.06  | | | |   (28)   ~ (all_52_14 = e0)
% 183.99/29.06  | | | | 
% 183.99/29.06  | | | | REDUCE: (1), (26) imply:
% 183.99/29.06  | | | |   (29)   ~ (e1 = e0)
% 183.99/29.06  | | | | 
% 183.99/29.06  | | | | SIMP: (29) implies:
% 183.99/29.06  | | | |   (30)   ~ (e1 = e0)
% 183.99/29.06  | | | | 
% 183.99/29.06  | | | | REF_CLOSE: (2), (4), (9), (10), (16), (17), (18), (19), (20), (27),
% 183.99/29.06  | | | |            (28), (30) are inconsistent by sub-proof #1316.
% 183.99/29.06  | | | | 
% 183.99/29.06  | | | End of split
% 183.99/29.06  | | | 
% 183.99/29.06  | | End of split
% 183.99/29.06  | | 
% 183.99/29.06  | End of split
% 183.99/29.06  | 
% 183.99/29.06  End of proof
% 183.99/29.06  
% 183.99/29.06  Sub-proof #47 shows that the following formulas are inconsistent:
% 183.99/29.06  ----------------------------------------------------------------
% 183.99/29.06    (1)   ~ (all_52_11 = e1)
% 183.99/29.06    (2)   ~ (all_52_14 = e0)
% 183.99/29.06    (3)   ~ (all_52_13 = e3)
% 183.99/29.06    (4)  op(e1, e3) = all_52_2
% 183.99/29.06    (5)  op(e2, e3) = all_57_19
% 183.99/29.06    (6)  op(e1, e0) = all_52_14
% 183.99/29.06    (7)  op(e0, e0) = e0
% 183.99/29.06    (8)  op(e0, e1) = all_52_11
% 183.99/29.06    (9)  op(e2, e1) = all_52_9
% 183.99/29.06    (10)   ~ (all_52_14 = e1)
% 183.99/29.06    (11)  op(e3, e0) = all_52_12
% 183.99/29.06    (12)   ~ (e2 = e0)
% 183.99/29.06    (13)   ~ (all_52_12 = all_52_13)
% 183.99/29.06    (14)  op(e2, e1) = e0
% 183.99/29.06    (15)   ~ (all_52_9 = all_52_13)
% 183.99/29.06    (16)   ~ (all_14_2 = e0)
% 183.99/29.06    (17)   ~ (all_52_14 = e2)
% 183.99/29.06    (18)   ~ (all_57_25 = e0)
% 183.99/29.06    (19)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 183.99/29.06    (20)  all_56_12 = e2 & op(e0, e3) = e2
% 183.99/29.06    (21)  all_54_10 = all_14_2
% 183.99/29.06    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 183.99/29.06            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 183.99/29.06    (23)  all_54_7 = all_52_13
% 183.99/29.06    (24)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 183.99/29.06          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 183.99/29.06    (25)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 183.99/29.06              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 183.99/29.06            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.99/29.06              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.99/29.06            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 183.99/29.06            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 183.99/29.06            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 183.99/29.06            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 183.99/29.06            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 183.99/29.06            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 183.99/29.06              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 183.99/29.06              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 183.99/29.06            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 183.99/29.06          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 183.99/29.06              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 183.99/29.06            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 183.99/29.06              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 183.99/29.06            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 183.99/29.06            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 183.99/29.06            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 183.99/29.06            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 183.99/29.06            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.99/29.06              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 183.99/29.06              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 183.99/29.06            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 183.99/29.06            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 183.99/29.06            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 183.99/29.06            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 183.99/29.06            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 183.99/29.06            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 183.99/29.06            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 183.99/29.06            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 183.99/29.06            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 183.99/29.06            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 183.99/29.06              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 183.99/29.06            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 183.99/29.06            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 183.99/29.06              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 183.99/29.06            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 183.99/29.06            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 183.99/29.06            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 183.99/29.06            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 183.99/29.06            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.99/29.06              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 183.99/29.06              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 183.99/29.06            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 183.99/29.06            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 183.99/29.06              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 183.99/29.06            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 183.99/29.06            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.99/29.06            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 183.99/29.06            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 183.99/29.06            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 183.99/29.06                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 183.99/29.06                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 183.99/29.06                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 183.99/29.06                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 183.99/29.06                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 183.99/29.06                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 183.99/29.06                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 183.99/29.06                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.99/29.06                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 183.99/29.06                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 183.99/29.06                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 183.99/29.06                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.99/29.06                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 183.99/29.06                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 183.99/29.06                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 183.99/29.06                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 183.99/29.06    (26)  all_54_11 = all_52_14
% 183.99/29.06    (27)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 183.99/29.06          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 183.99/29.06            e1)
% 183.99/29.06    (28)   ~ (all_57_19 = e2)
% 183.99/29.06    (29)  op(e2, e0) = all_52_13
% 183.99/29.06    (30)   ~ (e3 = e2)
% 183.99/29.06    (31)   ~ (all_52_14 = all_14_2)
% 183.99/29.06    (32)  op(e3, e1) = all_52_8
% 183.99/29.06    (33)  all_57_28 = e0
% 183.99/29.06    (34)  all_54_10 = e1 | all_54_10 = e0
% 183.99/29.06    (35)   ~ (all_52_13 = e2)
% 183.99/29.06    (36)   ~ (all_52_13 = e0)
% 183.99/29.06    (37)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 183.99/29.06    (38)   ~ (all_52_2 = all_52_14)
% 183.99/29.06    (39)   ~ (all_52_8 = e1)
% 183.99/29.06  
% 183.99/29.06  Begin of proof
% 183.99/29.06  | 
% 183.99/29.06  | ALPHA: (20) implies:
% 183.99/29.06  |   (40)  all_56_12 = e2
% 183.99/29.06  |   (41)  op(e0, e3) = e2
% 183.99/29.06  | 
% 183.99/29.06  | BETA: splitting (37) gives:
% 183.99/29.06  | 
% 183.99/29.06  | Case 1:
% 183.99/29.06  | | 
% 183.99/29.06  | |   (42)  all_54_7 = e2
% 183.99/29.06  | | 
% 183.99/29.06  | | COMBINE_EQS: (23), (42) imply:
% 183.99/29.06  | |   (43)  all_52_13 = e2
% 183.99/29.06  | | 
% 183.99/29.06  | | REDUCE: (35), (43) imply:
% 183.99/29.06  | |   (44)  $false
% 183.99/29.06  | | 
% 183.99/29.06  | | CLOSE: (44) is inconsistent.
% 183.99/29.06  | | 
% 183.99/29.06  | Case 2:
% 183.99/29.06  | | 
% 183.99/29.06  | |   (45)   ~ (all_54_7 = e2)
% 183.99/29.06  | |   (46)  all_54_7 = e1 | all_54_7 = e0
% 183.99/29.06  | | 
% 183.99/29.06  | | BETA: splitting (46) gives:
% 183.99/29.06  | | 
% 183.99/29.06  | | Case 1:
% 183.99/29.06  | | | 
% 183.99/29.06  | | |   (47)  all_54_7 = e1
% 183.99/29.06  | | | 
% 183.99/29.06  | | | COMBINE_EQS: (23), (47) imply:
% 183.99/29.06  | | |   (48)  all_52_13 = e1
% 183.99/29.06  | | | 
% 183.99/29.06  | | | SIMP: (48) implies:
% 183.99/29.06  | | |   (49)  all_52_13 = e1
% 183.99/29.06  | | | 
% 183.99/29.06  | | | REDUCE: (13), (49) imply:
% 183.99/29.06  | | |   (50)   ~ (all_52_12 = e1)
% 183.99/29.06  | | | 
% 183.99/29.06  | | | REDUCE: (3), (49) imply:
% 183.99/29.06  | | |   (51)   ~ (e3 = e1)
% 183.99/29.06  | | | 
% 183.99/29.06  | | | SIMP: (51) implies:
% 183.99/29.06  | | |   (52)   ~ (e3 = e1)
% 183.99/29.06  | | | 
% 183.99/29.06  | | | REDUCE: (35), (49) imply:
% 183.99/29.06  | | |   (53)   ~ (e2 = e1)
% 183.99/29.06  | | | 
% 183.99/29.06  | | | SIMP: (53) implies:
% 183.99/29.06  | | |   (54)   ~ (e2 = e1)
% 183.99/29.06  | | | 
% 183.99/29.06  | | | REDUCE: (36), (49) imply:
% 183.99/29.06  | | |   (55)   ~ (e1 = e0)
% 183.99/29.06  | | | 
% 183.99/29.06  | | | BETA: splitting (27) gives:
% 183.99/29.06  | | | 
% 183.99/29.06  | | | Case 1:
% 183.99/29.06  | | | | 
% 183.99/29.06  | | | |   (56)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0,
% 183.99/29.06  | | | |             e2) = e1)
% 183.99/29.06  | | | | 
% 183.99/29.06  | | | | BETA: splitting (56) gives:
% 183.99/29.06  | | | | 
% 183.99/29.06  | | | | Case 1:
% 183.99/29.06  | | | | | 
% 183.99/29.06  | | | | |   (57)  all_56_12 = e1 & op(e0, e3) = e1
% 183.99/29.06  | | | | | 
% 183.99/29.06  | | | | | ALPHA: (57) implies:
% 183.99/29.06  | | | | |   (58)  all_56_12 = e1
% 183.99/29.06  | | | | | 
% 183.99/29.06  | | | | | REF_CLOSE: (40), (54), (58) are inconsistent by sub-proof #1383.
% 183.99/29.06  | | | | | 
% 183.99/29.06  | | | | Case 2:
% 183.99/29.06  | | | | | 
% 183.99/29.06  | | | | |   (59)  all_56_13 = e1 & op(e0, e2) = e1
% 183.99/29.06  | | | | | 
% 183.99/29.06  | | | | | ALPHA: (59) implies:
% 183.99/29.06  | | | | |   (60)  op(e0, e2) = e1
% 183.99/29.06  | | | | | 
% 183.99/29.06  | | | | | BETA: splitting (25) gives:
% 183.99/29.06  | | | | | 
% 183.99/29.06  | | | | | Case 1:
% 183.99/29.06  | | | | | | 
% 183.99/29.06  | | | | | |   (61)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~
% 183.99/29.06  | | | | | |           (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0)
% 183.99/29.06  | | | | | |           &  ~ (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 &
% 183.99/29.06  | | | | | |           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) =
% 183.99/29.06  | | | | | |           all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 183.99/29.06  | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2,
% 183.99/29.06  | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 183.99/29.06  | | | | | |           $i(all_57_17) & $i(all_57_18) & $i(all_57_28)) | (all_57_2
% 183.99/29.06  | | | | | |           = all_57_28 & all_57_17 = e3 & all_57_22 = e3 &  ~
% 183.99/29.06  | | | | | |           (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 183.99/29.06  | | | | | |           &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 183.99/29.06  | | | | | |           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) =
% 183.99/29.06  | | | | | |           all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.99/29.06  | | | | | |           & op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1, e3) =
% 183.99/29.06  | | | | | |           e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 183.99/29.06  | | | | | |           $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) | (all_57_3
% 183.99/29.06  | | | | | |           = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~
% 183.99/29.06  | | | | | |           (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1)
% 183.99/29.06  | | | | | |           &  ~ (all_57_28 = e0) & op(e3, all_57_16) = all_57_1 &
% 183.99/29.06  | | | | | |           op(e3, all_57_17) = all_57_2 & op(e3, all_57_28) =
% 183.99/29.06  | | | | | |           all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 183.99/29.06  | | | | | |           & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) =
% 183.99/29.06  | | | | | |           e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 183.99/29.06  | | | | | |           $i(all_57_16) & $i(all_57_17) & $i(all_57_28)) | (all_57_4
% 183.99/29.06  | | | | | |           = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~
% 183.99/29.06  | | | | | |           (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 183.99/29.06  | | | | | |           &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 183.99/29.06  | | | | | |             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 &
% 183.99/29.06  | | | | | |           op(e2, all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2,
% 183.99/29.06  | | | | | |             e2) = all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 183.99/29.06  | | | | | |           all_57_21 & $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.99/29.06  | | | | | |           $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.99/29.06  | | | | | | 
% 183.99/29.06  | | | | | | BETA: splitting (61) gives:
% 183.99/29.06  | | | | | | 
% 183.99/29.06  | | | | | | Case 1:
% 183.99/29.06  | | | | | | | 
% 183.99/29.07  | | | | | | |   (62)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 & 
% 183.99/29.07  | | | | | | |           ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 =
% 183.99/29.07  | | | | | | |             e0) &  ~ (all_57_28 = e2) & op(e3, all_57_17) =
% 183.99/29.07  | | | | | | |           all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.99/29.07  | | | | | | |             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 183.99/29.07  | | | | | | |           op(e3, e2) = e3 & op(e3, e1) = all_57_17 & op(e3, e0) =
% 183.99/29.07  | | | | | | |           all_57_18 & op(e2, e3) = e3 & $i(all_57_0) &
% 183.99/29.07  | | | | | | |           $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 183.99/29.07  | | | | | | |           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 &
% 183.99/29.07  | | | | | | |           all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) & 
% 183.99/29.07  | | | | | | |           ~ (all_57_1 = e2) &  ~ (all_57_3 = e0) &  ~ (all_57_28 =
% 183.99/29.07  | | | | | | |             e1) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_18)
% 183.99/29.07  | | | | | | |           = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3, e3) =
% 183.99/29.07  | | | | | | |           all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 183.99/29.07  | | | | | | |           op(e3, e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0)
% 183.99/29.07  | | | | | | |           & $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 183.99/29.07  | | | | | | |           $i(all_57_18) & $i(all_57_28))
% 183.99/29.07  | | | | | | | 
% 183.99/29.07  | | | | | | | BETA: splitting (62) gives:
% 183.99/29.07  | | | | | | | 
% 183.99/29.07  | | | | | | | Case 1:
% 183.99/29.07  | | | | | | | | 
% 183.99/29.07  | | | | | | | |   (63)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &
% 183.99/29.07  | | | | | | | |          ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 =
% 183.99/29.07  | | | | | | | |           e0) &  ~ (all_57_28 = e2) & op(e3, all_57_17) =
% 183.99/29.07  | | | | | | | |         all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.99/29.07  | | | | | | | |           all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 183.99/29.07  | | | | | | | |         op(e3, e2) = e3 & op(e3, e1) = all_57_17 & op(e3, e0) =
% 183.99/29.07  | | | | | | | |         all_57_18 & op(e2, e3) = e3 & $i(all_57_0) &
% 183.99/29.07  | | | | | | | |         $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 183.99/29.07  | | | | | | | |         $i(all_57_18) & $i(all_57_28)
% 183.99/29.07  | | | | | | | | 
% 183.99/29.07  | | | | | | | | ALPHA: (63) implies:
% 183.99/29.07  | | | | | | | |   (64)  op(e3, e2) = e3
% 183.99/29.07  | | | | | | | |   (65)  op(e3, e3) = all_57_28
% 183.99/29.07  | | | | | | | | 
% 183.99/29.07  | | | | | | | | REDUCE: (33), (65) imply:
% 183.99/29.07  | | | | | | | |   (66)  op(e3, e3) = e0
% 183.99/29.07  | | | | | | | | 
% 183.99/29.07  | | | | | | | | BETA: splitting (24) gives:
% 183.99/29.07  | | | | | | | | 
% 183.99/29.07  | | | | | | | | Case 1:
% 183.99/29.07  | | | | | | | | | 
% 183.99/29.07  | | | | | | | | |   (67)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 &
% 183.99/29.07  | | | | | | | | |           op(e3, e2) = e1)
% 183.99/29.07  | | | | | | | | | 
% 183.99/29.07  | | | | | | | | | REF_CLOSE: (22), (52), (55), (64), (66), (67) are inconsistent
% 183.99/29.07  | | | | | | | | |            by sub-proof #48.
% 183.99/29.07  | | | | | | | | | 
% 183.99/29.07  | | | | | | | | Case 2:
% 183.99/29.07  | | | | | | | | | 
% 183.99/29.07  | | | | | | | | |   (68)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 &
% 183.99/29.07  | | | | | | | | |           op(e3, e0) = e1)
% 183.99/29.07  | | | | | | | | | 
% 183.99/29.07  | | | | | | | | | REF_CLOSE: (11), (22), (32), (39), (50), (68) are inconsistent
% 183.99/29.07  | | | | | | | | |            by sub-proof #105.
% 183.99/29.07  | | | | | | | | | 
% 183.99/29.07  | | | | | | | | End of split
% 183.99/29.07  | | | | | | | | 
% 183.99/29.07  | | | | | | | Case 2:
% 183.99/29.07  | | | | | | | | 
% 183.99/29.07  | | | | | | | |   (69)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 = e3 &
% 183.99/29.07  | | | | | | | |          ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 =
% 183.99/29.07  | | | | | | | |           e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 183.99/29.07  | | | | | | | |         all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 183.99/29.07  | | | | | | | |           all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 183.99/29.07  | | | | | | | |         op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3, e0) =
% 183.99/29.07  | | | | | | | |         all_57_18 & op(e1, e3) = e3 & $i(all_57_0) &
% 183.99/29.07  | | | | | | | |         $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 183.99/29.07  | | | | | | | |         $i(all_57_18) & $i(all_57_28)
% 183.99/29.07  | | | | | | | | 
% 183.99/29.07  | | | | | | | | ALPHA: (69) implies:
% 183.99/29.07  | | | | | | | |   (70)  op(e1, e3) = e3
% 183.99/29.07  | | | | | | | | 
% 183.99/29.07  | | | | | | | | REF_CLOSE: (2), (4), (10), (17), (19), (22), (26), (38), (70)
% 183.99/29.07  | | | | | | | |            are inconsistent by sub-proof #264.
% 183.99/29.07  | | | | | | | | 
% 183.99/29.07  | | | | | | | End of split
% 183.99/29.07  | | | | | | | 
% 183.99/29.07  | | | | | | Case 2:
% 183.99/29.07  | | | | | | | 
% 183.99/29.07  | | | | | | |   (71)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 & 
% 183.99/29.07  | | | | | | |           ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 =
% 183.99/29.07  | | | | | | |             e1) &  ~ (all_57_28 = e0) & op(e3, all_57_16) =
% 183.99/29.07  | | | | | | |           all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 183.99/29.07  | | | | | | |             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 183.99/29.07  | | | | | | |           op(e3, e2) = all_57_16 & op(e3, e1) = all_57_17 & op(e3,
% 183.99/29.07  | | | | | | |             e0) = e3 & op(e0, e3) = e3 & $i(all_57_0) &
% 183.99/29.07  | | | | | | |           $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 183.99/29.07  | | | | | | |           $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 &
% 183.99/29.07  | | | | | | |           all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) & 
% 183.99/29.07  | | | | | | |           ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 183.99/29.07  | | | | | | |             e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 &
% 183.99/29.07  | | | | | | |           op(e2, all_57_21) = all_57_7 & op(e2, all_57_29) =
% 183.99/29.07  | | | | | | |           all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 183.99/29.07  | | | | | | |           op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 &
% 183.99/29.07  | | | | | | |           $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 183.99/29.07  | | | | | | |           $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 183.99/29.07  | | | | | | | 
% 183.99/29.07  | | | | | | | REF_CLOSE: (5), (22), (28), (30), (41), (71) are inconsistent by
% 183.99/29.07  | | | | | | |            sub-proof #52.
% 183.99/29.07  | | | | | | | 
% 183.99/29.07  | | | | | | End of split
% 183.99/29.07  | | | | | | 
% 183.99/29.07  | | | | | Case 2:
% 183.99/29.07  | | | | | | 
% 183.99/29.07  | | | | | |   (72)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~
% 183.99/29.07  | | | | | |           (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0)
% 183.99/29.07  | | | | | |           &  ~ (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 &
% 183.99/29.07  | | | | | |           op(e2, all_57_21) = all_57_7 & op(e2, all_57_29) =
% 183.99/29.07  | | | | | |           all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.99/29.07  | | | | | |           & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 183.99/29.07  | | | | | |           e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 183.99/29.07  | | | | | |           $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7
% 183.99/29.07  | | | | | |           = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~
% 183.99/29.07  | | | | | |           (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 183.99/29.07  | | | | | |           &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 183.99/29.07  | | | | | |           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 183.99/29.07  | | | | | |           all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 183.99/29.07  | | | | | |           & op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) =
% 183.99/29.07  | | | | | |           e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.99/29.07  | | | | | |           $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) | (all_57_8
% 183.99/29.07  | | | | | |           = all_57_30 & all_57_17 = e1 & all_57_22 = e1 &  ~
% 183.99/29.07  | | | | | |           (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 =
% 183.99/29.07  | | | | | |             e0) &  ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1,
% 183.99/29.07  | | | | | |             all_57_23) = all_57_9 & op(e1, all_57_24) = all_57_11 &
% 183.99/29.07  | | | | | |           op(e1, all_57_30) = all_57_10 & op(e1, e3) = e1 & op(e1,
% 183.99/29.07  | | | | | |             e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.99/29.07  | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 183.99/29.07  | | | | | |           $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9
% 183.99/29.07  | | | | | |           = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 183.99/29.07  | | | | | |           (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 =
% 183.99/29.07  | | | | | |             e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1 & op(e1,
% 183.99/29.07  | | | | | |             all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 183.99/29.07  | | | | | |           op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 183.99/29.07  | | | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 183.99/29.07  | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 183.99/29.07  | | | | | |           $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) | (op(e0,
% 183.99/29.07  | | | | | |             e1) = all_57_27 & $i(all_57_27) & ((all_57_11 =
% 183.99/29.07  | | | | | |               all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 183.99/29.07  | | | | | |               (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 =
% 183.99/29.07  | | | | | |                 e1) &  ~ (all_57_30 = e0) & op(e1, all_57_22) =
% 183.99/29.07  | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 183.99/29.07  | | | | | |                 all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 183.99/29.07  | | | | | |               op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 &
% 183.99/29.07  | | | | | |               op(e1, e0) = e1 & $i(all_57_8) & $i(all_57_9) &
% 183.99/29.07  | | | | | |               $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 183.99/29.07  | | | | | |               $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13
% 183.99/29.07  | | | | | |                 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 183.99/29.07  | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) =
% 183.99/29.07  | | | | | |               all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 183.99/29.07  | | | | | |                 all_57_31) = all_57_15 & op(e0, e3) = all_57_25 &
% 183.99/29.07  | | | | | |               op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31 &
% 183.99/29.07  | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.99/29.07  | | | | | |               $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.99/29.07  | | | | | |               $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 &
% 183.99/29.07  | | | | | |                   all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 =
% 183.99/29.07  | | | | | |                   e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 183.99/29.07  | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) =
% 183.99/29.07  | | | | | |                   e0)))))
% 183.99/29.07  | | | | | | 
% 183.99/29.07  | | | | | | BETA: splitting (72) gives:
% 183.99/29.07  | | | | | | 
% 183.99/29.07  | | | | | | Case 1:
% 183.99/29.07  | | | | | | | 
% 183.99/29.07  | | | | | | |   (73)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 & 
% 183.99/29.07  | | | | | | |           ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 =
% 183.99/29.07  | | | | | | |             e0) &  ~ (all_57_29 = e1) & op(e2, all_57_19) =
% 183.99/29.07  | | | | | | |           all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 183.99/29.07  | | | | | | |             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 183.99/29.07  | | | | | | |           op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) =
% 183.99/29.07  | | | | | | |           all_57_21 & op(e1, e2) = e2 & $i(all_57_4) &
% 183.99/29.07  | | | | | | |           $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 183.99/29.07  | | | | | | |           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 &
% 183.99/29.07  | | | | | | |           all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) & 
% 183.99/29.07  | | | | | | |           ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 =
% 183.99/29.07  | | | | | | |             e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20)
% 183.99/29.07  | | | | | | |           = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2, e3) =
% 183.99/29.07  | | | | | | |           all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) =
% 183.99/29.07  | | | | | | |           all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 183.99/29.07  | | | | | | |           $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 183.99/29.07  | | | | | | |           $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 183.99/29.07  | | | | | | | 
% 183.99/29.07  | | | | | | | REF_CLOSE: (12), (14), (22), (54), (60), (73) are inconsistent by
% 183.99/29.07  | | | | | | |            sub-proof #51.
% 183.99/29.07  | | | | | | | 
% 183.99/29.07  | | | | | | Case 2:
% 183.99/29.07  | | | | | | | 
% 183.99/29.07  | | | | | | |   (74)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 = e1 & 
% 183.99/29.07  | | | | | | |           ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11
% 183.99/29.07  | | | | | | |             = e0) &  ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1,
% 183.99/29.07  | | | | | | |             all_57_23) = all_57_9 & op(e1, all_57_24) = all_57_11
% 183.99/29.07  | | | | | | |           & op(e1, all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.99/29.07  | | | | | | |           op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 183.99/29.07  | | | | | | |             e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.99/29.07  | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.99/29.07  | | | | | | |           $i(all_57_30)) | (all_57_9 = all_57_30 & all_57_20 = e1
% 183.99/29.07  | | | | | | |           & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 =
% 183.99/29.07  | | | | | | |             e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 183.99/29.07  | | | | | | |           op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 183.99/29.07  | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10
% 183.99/29.07  | | | | | | |           & op(e1, e3) = all_57_22 & op(e1, e2) = e1 & op(e1, e1)
% 183.99/29.07  | | | | | | |           = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 183.99/29.07  | | | | | | |           $i(all_57_10) & $i(all_57_11) & $i(all_57_22) &
% 183.99/29.07  | | | | | | |           $i(all_57_24) & $i(all_57_30)) | (op(e0, e1) = all_57_27
% 183.99/29.07  | | | | | | |           & $i(all_57_27) & ((all_57_11 = all_57_30 & all_57_24 =
% 183.99/29.07  | | | | | | |               e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 183.99/29.07  | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 183.99/29.07  | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 &
% 183.99/29.07  | | | | | | |               op(e1, all_57_23) = all_57_9 & op(e1, all_57_30) =
% 183.99/29.07  | | | | | | |               all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 183.99/29.07  | | | | | | |               all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1
% 183.99/29.07  | | | | | | |               & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.99/29.07  | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~
% 183.99/29.07  | | | | | | |               (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 183.99/29.07  | | | | | | |               (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 183.99/29.07  | | | | | | |                 all_57_25) = all_57_12 & op(e0, all_57_26) =
% 183.99/29.07  | | | | | | |               all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 183.99/29.07  | | | | | | |                 all_57_31) = all_57_15 & op(e0, e3) = all_57_25 &
% 183.99/29.07  | | | | | | |               op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31 &
% 183.99/29.07  | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.99/29.07  | | | | | | |               $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.99/29.07  | | | | | | |               $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 &
% 183.99/29.07  | | | | | | |                   all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 =
% 183.99/29.07  | | | | | | |                   e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 183.99/29.07  | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) =
% 183.99/29.07  | | | | | | |                   e0)))))
% 183.99/29.07  | | | | | | | 
% 183.99/29.07  | | | | | | | BETA: splitting (74) gives:
% 183.99/29.07  | | | | | | | 
% 183.99/29.07  | | | | | | | Case 1:
% 183.99/29.07  | | | | | | | | 
% 183.99/29.07  | | | | | | | |   (75)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 = e1 &
% 183.99/29.07  | | | | | | | |          ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11
% 183.99/29.07  | | | | | | | |           = e0) &  ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1,
% 183.99/29.07  | | | | | | | |           all_57_23) = all_57_9 & op(e1, all_57_24) = all_57_11
% 183.99/29.07  | | | | | | | |         & op(e1, all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 183.99/29.07  | | | | | | | |         op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 183.99/29.07  | | | | | | | |           e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 183.99/29.07  | | | | | | | |         $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 183.99/29.07  | | | | | | | |         $i(all_57_30)
% 183.99/29.07  | | | | | | | | 
% 183.99/29.07  | | | | | | | | ALPHA: (75) implies:
% 183.99/29.07  | | | | | | | |   (76)  op(e3, e1) = e1
% 183.99/29.07  | | | | | | | | 
% 183.99/29.07  | | | | | | | | REF_CLOSE: (22), (32), (39), (76) are inconsistent by sub-proof
% 183.99/29.07  | | | | | | | |            #1611.
% 183.99/29.07  | | | | | | | | 
% 183.99/29.07  | | | | | | | Case 2:
% 183.99/29.07  | | | | | | | | 
% 183.99/29.07  | | | | | | | |   (77)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1
% 183.99/29.07  | | | | | | | |           &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.99/29.07  | | | | | | | |           (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) =
% 183.99/29.07  | | | | | | | |           e1 & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24)
% 183.99/29.07  | | | | | | | |           = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.99/29.07  | | | | | | | |             e3) = all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.99/29.07  | | | | | | | |           all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 183.99/29.07  | | | | | | | |           $i(all_57_10) & $i(all_57_11) & $i(all_57_22) &
% 183.99/29.07  | | | | | | | |           $i(all_57_24) & $i(all_57_30)) | (op(e0, e1) =
% 183.99/29.07  | | | | | | | |           all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 183.99/29.07  | | | | | | | |               all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 =
% 183.99/29.07  | | | | | | | |                 e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &
% 183.99/29.07  | | | | | | | |                ~ (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 183.99/29.07  | | | | | | | |               & op(e1, all_57_23) = all_57_9 & op(e1, all_57_30)
% 183.99/29.07  | | | | | | | |               = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2)
% 183.99/29.07  | | | | | | | |               = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0)
% 183.99/29.07  | | | | | | | |               = e1 & $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 183.99/29.07  | | | | | | | |               & $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) |
% 183.99/29.07  | | | | | | | |             ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 183.99/29.07  | | | | | | | |               (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 183.99/29.07  | | | | | | | |                 all_57_25) = all_57_12 & op(e0, all_57_26) =
% 183.99/29.07  | | | | | | | |               all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 183.99/29.07  | | | | | | | |                 all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 183.99/29.07  | | | | | | | |               & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 183.99/29.07  | | | | | | | |               & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.99/29.07  | | | | | | | |               $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.99/29.07  | | | | | | | |               $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 183.99/29.07  | | | | | | | |                   & all_57_25 = e0 & op(e3, e0) = e0) |
% 183.99/29.07  | | | | | | | |                 (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.99/29.07  | | | | | | | |                   e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 183.99/29.07  | | | | | | | |                   op(e1, e0) = e0)))))
% 183.99/29.07  | | | | | | | | 
% 183.99/29.07  | | | | | | | | BETA: splitting (77) gives:
% 183.99/29.07  | | | | | | | | 
% 183.99/29.07  | | | | | | | | Case 1:
% 183.99/29.07  | | | | | | | | | 
% 183.99/29.07  | | | | | | | | |   (78)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1
% 183.99/29.07  | | | | | | | | |         &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 183.99/29.07  | | | | | | | | |         (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) =
% 183.99/29.07  | | | | | | | | |         e1 & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24)
% 183.99/29.07  | | | | | | | | |         = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.99/29.07  | | | | | | | | |           e3) = all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 183.99/29.07  | | | | | | | | |         all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 183.99/29.07  | | | | | | | | |         $i(all_57_10) & $i(all_57_11) & $i(all_57_22) &
% 183.99/29.07  | | | | | | | | |         $i(all_57_24) & $i(all_57_30)
% 183.99/29.07  | | | | | | | | | 
% 183.99/29.07  | | | | | | | | | ALPHA: (78) implies:
% 183.99/29.07  | | | | | | | | |   (79)  op(e2, e1) = e1
% 183.99/29.07  | | | | | | | | | 
% 183.99/29.07  | | | | | | | | | REF_CLOSE: (9), (15), (22), (23), (36), (46), (79) are
% 183.99/29.07  | | | | | | | | |            inconsistent by sub-proof #794.
% 183.99/29.07  | | | | | | | | | 
% 183.99/29.07  | | | | | | | | Case 2:
% 183.99/29.07  | | | | | | | | | 
% 183.99/29.07  | | | | | | | | |   (80)  op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 =
% 183.99/29.07  | | | | | | | | |             all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 183.99/29.07  | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~
% 183.99/29.07  | | | | | | | | |             (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 183.99/29.07  | | | | | | | | |               all_57_22) = all_57_8 & op(e1, all_57_23) =
% 183.99/29.07  | | | | | | | | |             all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 183.99/29.07  | | | | | | | | |               e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 183.99/29.07  | | | | | | | | |             op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 183.99/29.07  | | | | | | | | |             $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 183.99/29.07  | | | | | | | | |             $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | (
% 183.99/29.07  | | | | | | | | |             ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 183.99/29.07  | | | | | | | | |             (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 183.99/29.07  | | | | | | | | |               all_57_25) = all_57_12 & op(e0, all_57_26) =
% 183.99/29.07  | | | | | | | | |             all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 183.99/29.07  | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 183.99/29.07  | | | | | | | | |             & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 183.99/29.07  | | | | | | | | |             & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 183.99/29.07  | | | | | | | | |             $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 183.99/29.07  | | | | | | | | |             $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 183.99/29.07  | | | | | | | | |                 & all_57_25 = e0 & op(e3, e0) = e0) |
% 183.99/29.07  | | | | | | | | |               (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 183.99/29.07  | | | | | | | | |                 e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 184.21/29.07  | | | | | | | | |                 op(e1, e0) = e0))))
% 184.21/29.07  | | | | | | | | | 
% 184.21/29.07  | | | | | | | | | REF_CLOSE: (2), (6), (16), (18), (21), (22), (29), (31), (34),
% 184.21/29.07  | | | | | | | | |            (36), (80) are inconsistent by sub-proof #1278.
% 184.21/29.07  | | | | | | | | | 
% 184.21/29.07  | | | | | | | | End of split
% 184.21/29.07  | | | | | | | | 
% 184.21/29.07  | | | | | | | End of split
% 184.21/29.07  | | | | | | | 
% 184.21/29.07  | | | | | | End of split
% 184.21/29.07  | | | | | | 
% 184.21/29.07  | | | | | End of split
% 184.21/29.07  | | | | | 
% 184.21/29.07  | | | | End of split
% 184.21/29.07  | | | | 
% 184.21/29.07  | | | Case 2:
% 184.21/29.07  | | | | 
% 184.21/29.07  | | | |   (81)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 184.21/29.07  | | | |             e0) = e1)
% 184.21/29.07  | | | | 
% 184.21/29.07  | | | | BETA: splitting (81) gives:
% 184.21/29.07  | | | | 
% 184.21/29.07  | | | | Case 1:
% 184.21/29.07  | | | | | 
% 184.21/29.07  | | | | |   (82)  all_56_14 = e1 & op(e0, e1) = e1
% 184.21/29.07  | | | | | 
% 184.21/29.07  | | | | | ALPHA: (82) implies:
% 184.21/29.07  | | | | |   (83)  op(e0, e1) = e1
% 184.21/29.07  | | | | | 
% 184.21/29.07  | | | | | REF_CLOSE: (1), (8), (22), (83) are inconsistent by sub-proof #1517.
% 184.21/29.07  | | | | | 
% 184.21/29.07  | | | | Case 2:
% 184.21/29.07  | | | | | 
% 184.21/29.07  | | | | |   (84)  all_56_15 = e1 & op(e0, e0) = e1
% 184.21/29.07  | | | | | 
% 184.21/29.07  | | | | | ALPHA: (84) implies:
% 184.21/29.07  | | | | |   (85)  op(e0, e0) = e1
% 184.21/29.07  | | | | | 
% 184.21/29.07  | | | | | REF_CLOSE: (7), (22), (55), (85) are inconsistent by sub-proof #119.
% 184.21/29.07  | | | | | 
% 184.21/29.07  | | | | End of split
% 184.21/29.07  | | | | 
% 184.21/29.07  | | | End of split
% 184.21/29.07  | | | 
% 184.21/29.07  | | Case 2:
% 184.21/29.07  | | | 
% 184.21/29.07  | | |   (86)  all_54_7 = e0
% 184.21/29.07  | | | 
% 184.21/29.07  | | | REF_CLOSE: (23), (36), (86) are inconsistent by sub-proof #946.
% 184.21/29.07  | | | 
% 184.21/29.07  | | End of split
% 184.21/29.07  | | 
% 184.21/29.07  | End of split
% 184.21/29.07  | 
% 184.21/29.07  End of proof
% 184.21/29.07  
% 184.21/29.07  Sub-proof #48 shows that the following formulas are inconsistent:
% 184.21/29.07  ----------------------------------------------------------------
% 184.21/29.07    (1)   ~ (e1 = e0)
% 184.21/29.07    (2)   ~ (e3 = e1)
% 184.21/29.07    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.07    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 184.21/29.07    (5)  op(e3, e3) = e0
% 184.21/29.07    (6)  op(e3, e2) = e3
% 184.21/29.07  
% 184.21/29.07  Begin of proof
% 184.21/29.07  | 
% 184.21/29.07  | BETA: splitting (4) gives:
% 184.21/29.07  | 
% 184.21/29.07  | Case 1:
% 184.21/29.07  | | 
% 184.21/29.07  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 184.21/29.07  | | 
% 184.21/29.07  | | ALPHA: (7) implies:
% 184.21/29.07  | |   (8)  op(e3, e3) = e1
% 184.21/29.07  | | 
% 184.21/29.07  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #49.
% 184.21/29.07  | | 
% 184.21/29.07  | Case 2:
% 184.21/29.07  | | 
% 184.21/29.07  | |   (9)  all_56_1 = e1 & op(e3, e2) = e1
% 184.21/29.07  | | 
% 184.21/29.07  | | ALPHA: (9) implies:
% 184.21/29.07  | |   (10)  op(e3, e2) = e1
% 184.21/29.07  | | 
% 184.21/29.07  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1579.
% 184.21/29.07  | | 
% 184.21/29.07  | End of split
% 184.21/29.07  | 
% 184.21/29.07  End of proof
% 184.21/29.07  
% 184.21/29.07  Sub-proof #49 shows that the following formulas are inconsistent:
% 184.21/29.07  ----------------------------------------------------------------
% 184.21/29.07    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.07    (2)  op(e3, e3) = e1
% 184.21/29.07    (3)  op(e3, e3) = e0
% 184.21/29.07    (4)   ~ (e1 = e0)
% 184.21/29.07  
% 184.21/29.07  Begin of proof
% 184.21/29.07  | 
% 184.21/29.07  | GROUND_INST: instantiating (1) with e0, e1, e3, e3, simplifying with (2), (3)
% 184.21/29.07  |              gives:
% 184.21/29.07  |   (5)  e1 = e0
% 184.21/29.07  | 
% 184.21/29.07  | REDUCE: (4), (5) imply:
% 184.21/29.07  |   (6)  $false
% 184.21/29.07  | 
% 184.21/29.07  | CLOSE: (6) is inconsistent.
% 184.21/29.07  | 
% 184.21/29.07  End of proof
% 184.21/29.07  
% 184.21/29.07  Sub-proof #50 shows that the following formulas are inconsistent:
% 184.21/29.07  ----------------------------------------------------------------
% 184.21/29.07    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.07    (2)  op(e3, e3) = e2
% 184.21/29.07    (3)  op(e3, e3) = e0
% 184.21/29.07    (4)   ~ (e2 = e0)
% 184.21/29.07  
% 184.21/29.07  Begin of proof
% 184.21/29.07  | 
% 184.21/29.07  | GROUND_INST: instantiating (1) with e0, e2, e3, e3, simplifying with (2), (3)
% 184.21/29.07  |              gives:
% 184.21/29.07  |   (5)  e2 = e0
% 184.21/29.07  | 
% 184.21/29.07  | REDUCE: (4), (5) imply:
% 184.21/29.07  |   (6)  $false
% 184.21/29.07  | 
% 184.21/29.07  | CLOSE: (6) is inconsistent.
% 184.21/29.07  | 
% 184.21/29.07  End of proof
% 184.21/29.07  
% 184.21/29.07  Sub-proof #51 shows that the following formulas are inconsistent:
% 184.21/29.07  ----------------------------------------------------------------
% 184.21/29.07    (1)   ~ (e2 = e0)
% 184.21/29.07    (2)  op(e2, e1) = e0
% 184.21/29.07    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.07    (4)  op(e0, e2) = e1
% 184.21/29.07    (5)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 184.21/29.07             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.21/29.07           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.21/29.07             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.21/29.07           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 184.21/29.07           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 184.21/29.07           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 184.21/29.07           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 184.21/29.07           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 184.21/29.07           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.21/29.07             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 184.21/29.07           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.21/29.07           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 184.21/29.07    (6)   ~ (e2 = e1)
% 184.21/29.07  
% 184.21/29.07  Begin of proof
% 184.21/29.07  | 
% 184.21/29.07  | BETA: splitting (5) gives:
% 184.21/29.07  | 
% 184.21/29.07  | Case 1:
% 184.21/29.07  | | 
% 184.21/29.07  | |   (7)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4
% 184.21/29.07  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 184.21/29.07  | |          e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 &
% 184.21/29.07  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.21/29.07  | |        all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 184.21/29.07  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 184.21/29.07  | |        $i(all_57_21) & $i(all_57_29)
% 184.21/29.07  | | 
% 184.21/29.07  | | ALPHA: (7) implies:
% 184.21/29.07  | |   (8)  op(e2, e1) = e2
% 184.21/29.07  | | 
% 184.21/29.07  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #272.
% 184.21/29.07  | | 
% 184.21/29.07  | Case 2:
% 184.21/29.07  | | 
% 184.21/29.07  | |   (9)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4
% 184.21/29.07  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 =
% 184.21/29.07  | |          e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20) = all_57_6 &
% 184.21/29.07  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.21/29.07  | |        all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) =
% 184.21/29.07  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_19) &
% 184.21/29.07  | |        $i(all_57_20) & $i(all_57_29)
% 184.21/29.07  | | 
% 184.21/29.07  | | ALPHA: (9) implies:
% 184.21/29.07  | |   (10)  op(e0, e2) = e2
% 184.21/29.07  | | 
% 184.21/29.07  | | REF_CLOSE: (3), (4), (6), (10) are inconsistent by sub-proof #279.
% 184.21/29.07  | | 
% 184.21/29.07  | End of split
% 184.21/29.07  | 
% 184.21/29.07  End of proof
% 184.21/29.07  
% 184.21/29.07  Sub-proof #52 shows that the following formulas are inconsistent:
% 184.21/29.07  ----------------------------------------------------------------
% 184.21/29.07    (1)  op(e0, e3) = e2
% 184.21/29.07    (2)  op(e2, e3) = all_57_19
% 184.21/29.07    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.07    (4)   ~ (all_57_19 = e2)
% 184.21/29.07    (5)   ~ (e3 = e2)
% 184.21/29.07    (6)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 184.21/29.07             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.21/29.07           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.21/29.07             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.21/29.07           all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 184.21/29.07           & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.21/29.07           $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2
% 184.21/29.07           & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.21/29.07           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.21/29.07             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.21/29.07             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 184.21/29.07           op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 184.21/29.07           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.21/29.07           $i(all_57_29))
% 184.21/29.07  
% 184.21/29.07  Begin of proof
% 184.21/29.07  | 
% 184.21/29.07  | BETA: splitting (6) gives:
% 184.21/29.07  | 
% 184.21/29.07  | Case 1:
% 184.21/29.07  | | 
% 184.21/29.07  | |   (7)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0
% 184.21/29.07  | |          = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 =
% 184.21/29.07  | |          e0) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 &
% 184.21/29.07  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.21/29.07  | |        all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) =
% 184.21/29.07  | |        e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.21/29.07  | |        $i(all_57_17) & $i(all_57_28)
% 184.21/29.07  | | 
% 184.21/29.07  | | ALPHA: (7) implies:
% 184.21/29.07  | |   (8)  op(e0, e3) = e3
% 184.21/29.07  | | 
% 184.21/29.07  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1039.
% 184.21/29.07  | | 
% 184.21/29.07  | Case 2:
% 184.21/29.07  | | 
% 184.21/29.08  | |   (9)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5
% 184.21/29.08  | |          = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 184.21/29.08  | |          e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.21/29.08  | |          all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) =
% 184.21/29.08  | |        e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 184.21/29.08  | |        all_57_21 & $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 184.21/29.08  | |        $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 184.21/29.08  | | 
% 184.21/29.08  | | ALPHA: (9) implies:
% 184.21/29.08  | |   (10)  op(e2, e3) = e2
% 184.21/29.08  | | 
% 184.21/29.08  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #180.
% 184.21/29.08  | | 
% 184.21/29.08  | End of split
% 184.21/29.08  | 
% 184.21/29.08  End of proof
% 184.21/29.08  
% 184.21/29.08  Sub-proof #53 shows that the following formulas are inconsistent:
% 184.21/29.08  ----------------------------------------------------------------
% 184.21/29.08    (1)   ~ (e2 = e0)
% 184.21/29.08    (2)  op(e2, e3) = all_52_1
% 184.21/29.08    (3)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 184.21/29.08    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.08    (5)   ~ (all_52_1 = e0)
% 184.21/29.08    (6)  op(e2, e2) = e2
% 184.21/29.08  
% 184.21/29.08  Begin of proof
% 184.21/29.08  | 
% 184.21/29.08  | BETA: splitting (3) gives:
% 184.21/29.08  | 
% 184.21/29.08  | Case 1:
% 184.21/29.08  | | 
% 184.21/29.08  | |   (7)  all_56_2 = e0 & op(e2, e3) = e0
% 184.21/29.08  | | 
% 184.21/29.08  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #930.
% 184.21/29.08  | | 
% 184.21/29.08  | Case 2:
% 184.21/29.08  | | 
% 184.21/29.08  | |   (8)  all_56_3 = e0 & op(e2, e2) = e0
% 184.21/29.08  | | 
% 184.21/29.08  | | ALPHA: (8) implies:
% 184.21/29.08  | |   (9)  op(e2, e2) = e0
% 184.21/29.08  | | 
% 184.21/29.08  | | REF_CLOSE: (1), (4), (6), (9) are inconsistent by sub-proof #1586.
% 184.21/29.08  | | 
% 184.21/29.08  | End of split
% 184.21/29.08  | 
% 184.21/29.08  End of proof
% 184.21/29.08  
% 184.21/29.08  Sub-proof #54 shows that the following formulas are inconsistent:
% 184.21/29.08  ----------------------------------------------------------------
% 184.21/29.08    (1)   ~ (e3 = e0)
% 184.21/29.08    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.08    (3)  op(e3, e3) = e0
% 184.21/29.08    (4)   ~ (e3 = e2)
% 184.21/29.08    (5)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 184.21/29.08    (6)  op(e2, e2) = e2
% 184.21/29.08  
% 184.21/29.08  Begin of proof
% 184.21/29.08  | 
% 184.21/29.08  | BETA: splitting (5) gives:
% 184.21/29.08  | 
% 184.21/29.08  | Case 1:
% 184.21/29.08  | | 
% 184.21/29.08  | |   (7)  all_57_28 = e3 & op(e3, e3) = e3
% 184.21/29.08  | | 
% 184.21/29.08  | | ALPHA: (7) implies:
% 184.21/29.08  | |   (8)  op(e3, e3) = e3
% 184.21/29.08  | | 
% 184.21/29.08  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #55.
% 184.21/29.08  | | 
% 184.21/29.08  | Case 2:
% 184.21/29.08  | | 
% 184.21/29.08  | |   (9)  all_57_29 = e3 & op(e2, e2) = e3
% 184.21/29.08  | | 
% 184.21/29.08  | | ALPHA: (9) implies:
% 184.21/29.08  | |   (10)  op(e2, e2) = e3
% 184.21/29.08  | | 
% 184.21/29.08  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1602.
% 184.21/29.08  | | 
% 184.21/29.08  | End of split
% 184.21/29.08  | 
% 184.21/29.08  End of proof
% 184.21/29.08  
% 184.21/29.08  Sub-proof #55 shows that the following formulas are inconsistent:
% 184.21/29.08  ----------------------------------------------------------------
% 184.21/29.08    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.08    (2)  op(e3, e3) = e3
% 184.21/29.08    (3)  op(e3, e3) = e0
% 184.21/29.08    (4)   ~ (e3 = e0)
% 184.21/29.08  
% 184.21/29.08  Begin of proof
% 184.21/29.08  | 
% 184.21/29.08  | GROUND_INST: instantiating (1) with e0, e3, e3, e3, simplifying with (2), (3)
% 184.21/29.08  |              gives:
% 184.21/29.08  |   (5)  e3 = e0
% 184.21/29.08  | 
% 184.21/29.08  | REDUCE: (4), (5) imply:
% 184.21/29.08  |   (6)  $false
% 184.21/29.08  | 
% 184.21/29.08  | CLOSE: (6) is inconsistent.
% 184.21/29.08  | 
% 184.21/29.08  End of proof
% 184.21/29.08  
% 184.21/29.08  Sub-proof #56 shows that the following formulas are inconsistent:
% 184.21/29.08  ----------------------------------------------------------------
% 184.21/29.08    (1)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) & op(e1, e2) =
% 184.21/29.08           all_57_23 & $i(all_57_23))
% 184.21/29.08    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.08    (3)  op(e1, e2) = e1
% 184.21/29.08    (4)  op(e0, e0) = e1
% 184.21/29.08    (5)   ~ (e2 = e1)
% 184.21/29.08  
% 184.21/29.08  Begin of proof
% 184.21/29.08  | 
% 184.21/29.08  | BETA: splitting (1) gives:
% 184.21/29.08  | 
% 184.21/29.08  | Case 1:
% 184.21/29.08  | | 
% 184.21/29.08  | |   (6)  all_57_31 = e2 & op(e0, e0) = e2
% 184.21/29.08  | | 
% 184.21/29.08  | | ALPHA: (6) implies:
% 184.21/29.08  | |   (7)  op(e0, e0) = e2
% 184.21/29.08  | | 
% 184.21/29.08  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #110.
% 184.21/29.08  | | 
% 184.21/29.08  | Case 2:
% 184.21/29.08  | | 
% 184.21/29.08  | |   (8)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 & $i(all_57_23)
% 184.21/29.08  | | 
% 184.21/29.08  | | ALPHA: (8) implies:
% 184.21/29.08  | |   (9)   ~ (all_57_23 = e1)
% 184.21/29.08  | |   (10)  op(e1, e2) = all_57_23
% 184.21/29.08  | | 
% 184.21/29.08  | | GROUND_INST: instantiating (2) with e1, all_57_23, e2, e1, simplifying with
% 184.21/29.08  | |              (3), (10) gives:
% 184.21/29.08  | |   (11)  all_57_23 = e1
% 184.21/29.08  | | 
% 184.21/29.08  | | REDUCE: (9), (11) imply:
% 184.21/29.08  | |   (12)  $false
% 184.21/29.08  | | 
% 184.21/29.08  | | CLOSE: (12) is inconsistent.
% 184.21/29.08  | | 
% 184.21/29.08  | End of split
% 184.21/29.08  | 
% 184.21/29.08  End of proof
% 184.21/29.08  
% 184.21/29.08  Sub-proof #57 shows that the following formulas are inconsistent:
% 184.21/29.08  ----------------------------------------------------------------
% 184.21/29.08    (1)  op(e1, e0) = all_52_14
% 184.21/29.08    (2)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.21/29.08    (3)   ~ (e3 = e1)
% 184.21/29.08    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.08    (5)   ~ (all_52_14 = e3)
% 184.21/29.08    (6)  op(e0, e0) = e1
% 184.21/29.08  
% 184.21/29.08  Begin of proof
% 184.21/29.08  | 
% 184.21/29.08  | BETA: splitting (2) gives:
% 184.21/29.08  | 
% 184.21/29.08  | Case 1:
% 184.21/29.08  | | 
% 184.21/29.08  | |   (7)  all_56_11 = e3 & op(e1, e0) = e3
% 184.21/29.08  | | 
% 184.21/29.08  | | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #804.
% 184.21/29.08  | | 
% 184.21/29.08  | Case 2:
% 184.21/29.08  | | 
% 184.21/29.08  | |   (8)  all_56_15 = e3 & op(e0, e0) = e3
% 184.21/29.08  | | 
% 184.21/29.08  | | ALPHA: (8) implies:
% 184.21/29.08  | |   (9)  op(e0, e0) = e3
% 184.21/29.08  | | 
% 184.21/29.08  | | REF_CLOSE: (3), (4), (6), (9) are inconsistent by sub-proof #108.
% 184.21/29.08  | | 
% 184.21/29.08  | End of split
% 184.21/29.08  | 
% 184.21/29.08  End of proof
% 184.21/29.08  
% 184.21/29.08  Sub-proof #58 shows that the following formulas are inconsistent:
% 184.21/29.08  ----------------------------------------------------------------
% 184.21/29.08    (1)   ~ (all_4_2 = e0)
% 184.21/29.08    (2)  op(e2, e1) = e2
% 184.21/29.08    (3)  op(e1, e3) = all_52_2
% 184.21/29.08    (4)  op(e1, e0) = all_52_14
% 184.21/29.08    (5)   ~ (all_52_2 = all_52_6)
% 184.21/29.08    (6)   ~ (all_52_12 = e2)
% 184.21/29.08    (7)   ~ (all_52_2 = e2)
% 184.21/29.08    (8)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.21/29.08         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.21/29.08    (9)  op(e2, e2) = e3
% 184.21/29.08    (10)   ~ (all_52_14 = e1)
% 184.21/29.08    (11)   ~ (all_52_6 = e0)
% 184.21/29.08    (12)   ~ (e2 = e0)
% 184.21/29.08    (13)  op(e3, e3) = e2
% 184.21/29.08    (14)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 184.21/29.08          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 184.21/29.08    (15)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 184.21/29.08    (16)  op(e2, e3) = all_52_1
% 184.21/29.08    (17)   ~ (all_52_1 = all_52_2)
% 184.21/29.08    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.08            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.08    (19)   ~ (all_52_6 = e2)
% 184.21/29.08    (20)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 184.21/29.08              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 184.21/29.08            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.21/29.08              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.21/29.08            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 184.21/29.08            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.21/29.08            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 184.21/29.08            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.21/29.08            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 184.21/29.08            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.21/29.08              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 184.21/29.08              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.21/29.08            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.21/29.08          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 184.21/29.08              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 184.21/29.08            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.21/29.08              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.21/29.08            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 184.21/29.08            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.21/29.08            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 184.21/29.08            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.21/29.08            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.21/29.08              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.21/29.08              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 184.21/29.08            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 184.21/29.08            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.21/29.08            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 184.21/29.08            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 184.21/29.08            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 184.21/29.08            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 184.21/29.08            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.21/29.08            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 184.21/29.08            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 184.21/29.08            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 184.21/29.08              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 184.21/29.08            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 184.21/29.08            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 184.21/29.08              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 184.21/29.08            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 184.21/29.08            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 184.21/29.08            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 184.21/29.08            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.21/29.08            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 184.21/29.08              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 184.21/29.08              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 184.21/29.08            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 184.21/29.08            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 184.21/29.08              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 184.21/29.08            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 184.21/29.08            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.21/29.08            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 184.21/29.08            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.21/29.08            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 184.21/29.08                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 184.21/29.08                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 184.21/29.08                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.21/29.08                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 184.21/29.08                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.21/29.08                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.21/29.08                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.21/29.08                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.21/29.08                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.21/29.08                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.21/29.08                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 184.21/29.08                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.21/29.08                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.21/29.08                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.21/29.08                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 184.21/29.08                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 184.21/29.08    (21)  all_54_8 = all_52_2
% 184.21/29.08    (22)   ~ (all_52_8 = all_52_12)
% 184.21/29.08    (23)  all_54_9 = all_52_6
% 184.21/29.08    (24)   ~ (all_52_1 = e0)
% 184.21/29.08    (25)  op(e2, e0) = all_52_13
% 184.21/29.08    (26)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 184.21/29.08    (27)   ~ (all_52_12 = e1)
% 184.21/29.08    (28)  op(e3, e1) = all_52_8
% 184.21/29.08    (29)  all_56_14 = e3
% 184.21/29.08    (30)  op(e3, e3) = all_4_2
% 184.21/29.08    (31)   ~ (all_52_2 = e0)
% 184.21/29.08    (32)  op(e1, e2) = all_52_6
% 184.21/29.08    (33)  op(e0, e0) = e1
% 184.21/29.08    (34)   ~ (all_52_13 = e2)
% 184.21/29.08    (35)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.21/29.08          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 184.21/29.08            e2)
% 184.21/29.08    (36)  all_54_3 = all_52_12
% 184.21/29.08    (37)   ~ (all_52_12 = e0)
% 184.21/29.08    (38)  all_54_9 = e1 | all_54_9 = e0
% 184.21/29.08    (39)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.21/29.08          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.21/29.08  
% 184.21/29.08  Begin of proof
% 184.21/29.08  | 
% 184.21/29.08  | BETA: splitting (26) gives:
% 184.21/29.08  | 
% 184.21/29.08  | Case 1:
% 184.21/29.08  | | 
% 184.21/29.08  | |   (40)  all_54_3 = e3
% 184.21/29.08  | | 
% 184.21/29.08  | | COMBINE_EQS: (36), (40) imply:
% 184.21/29.08  | |   (41)  all_52_12 = e3
% 184.21/29.08  | | 
% 184.21/29.08  | | SIMP: (41) implies:
% 184.21/29.08  | |   (42)  all_52_12 = e3
% 184.21/29.08  | | 
% 184.21/29.08  | | REDUCE: (22), (42) imply:
% 184.21/29.08  | |   (43)   ~ (all_52_8 = e3)
% 184.21/29.08  | | 
% 184.21/29.08  | | BETA: splitting (38) gives:
% 184.21/29.08  | | 
% 184.21/29.08  | | Case 1:
% 184.21/29.08  | | | 
% 184.21/29.08  | | |   (44)  all_54_9 = e1
% 184.21/29.08  | | | 
% 184.21/29.08  | | | COMBINE_EQS: (23), (44) imply:
% 184.21/29.08  | | |   (45)  all_52_6 = e1
% 184.21/29.08  | | | 
% 184.21/29.08  | | | SIMP: (45) implies:
% 184.21/29.08  | | |   (46)  all_52_6 = e1
% 184.21/29.08  | | | 
% 184.21/29.08  | | | REDUCE: (5), (46) imply:
% 184.21/29.08  | | |   (47)   ~ (all_52_2 = e1)
% 184.21/29.08  | | | 
% 184.21/29.08  | | | REDUCE: (19), (46) imply:
% 184.21/29.08  | | |   (48)   ~ (e2 = e1)
% 184.21/29.08  | | | 
% 184.21/29.08  | | | SIMP: (48) implies:
% 184.21/29.08  | | |   (49)   ~ (e2 = e1)
% 184.21/29.08  | | | 
% 184.21/29.08  | | | REDUCE: (11), (46) imply:
% 184.21/29.08  | | |   (50)   ~ (e1 = e0)
% 184.21/29.08  | | | 
% 184.21/29.08  | | | BETA: splitting (15) gives:
% 184.21/29.08  | | | 
% 184.21/29.08  | | | Case 1:
% 184.21/29.08  | | | | 
% 184.21/29.08  | | | |   (51)  all_54_8 = e3
% 184.21/29.08  | | | | 
% 184.21/29.08  | | | | COMBINE_EQS: (21), (51) imply:
% 184.21/29.08  | | | |   (52)  all_52_2 = e3
% 184.21/29.08  | | | | 
% 184.21/29.08  | | | | SIMP: (52) implies:
% 184.21/29.08  | | | |   (53)  all_52_2 = e3
% 184.21/29.08  | | | | 
% 184.21/29.08  | | | | REDUCE: (17), (53) imply:
% 184.21/29.08  | | | |   (54)   ~ (all_52_1 = e3)
% 184.21/29.08  | | | | 
% 184.21/29.08  | | | | REDUCE: (7), (53) imply:
% 184.21/29.08  | | | |   (55)   ~ (e3 = e2)
% 184.21/29.08  | | | | 
% 184.21/29.08  | | | | REDUCE: (47), (53) imply:
% 184.21/29.08  | | | |   (56)   ~ (e3 = e1)
% 184.21/29.08  | | | | 
% 184.21/29.08  | | | | REDUCE: (31), (53) imply:
% 184.21/29.08  | | | |   (57)   ~ (e3 = e0)
% 184.21/29.08  | | | | 
% 184.21/29.08  | | | | REDUCE: (3), (53) imply:
% 184.21/29.08  | | | |   (58)  op(e1, e3) = e3
% 184.21/29.08  | | | | 
% 184.21/29.08  | | | | BETA: splitting (14) gives:
% 184.21/29.08  | | | | 
% 184.21/29.08  | | | | Case 1:
% 184.21/29.08  | | | | | 
% 184.21/29.08  | | | | |   (59)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2,
% 184.21/29.08  | | | | |             e3) = e3)
% 184.21/29.08  | | | | | 
% 184.21/29.08  | | | | | REF_CLOSE: (13), (16), (18), (54), (55), (59) are inconsistent by
% 184.21/29.08  | | | | |            sub-proof #265.
% 184.21/29.08  | | | | | 
% 184.21/29.08  | | | | Case 2:
% 184.21/29.08  | | | | | 
% 184.21/29.08  | | | | |   (60)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0,
% 184.21/29.08  | | | | |             e3) = e3)
% 184.21/29.08  | | | | | 
% 184.21/29.08  | | | | | BETA: splitting (60) gives:
% 184.21/29.08  | | | | | 
% 184.21/29.08  | | | | | Case 1:
% 184.21/29.08  | | | | | | 
% 184.21/29.08  | | | | | |   (61)  all_56_6 = e3 & op(e1, e3) = e3
% 184.21/29.08  | | | | | | 
% 184.21/29.08  | | | | | | ALPHA: (61) implies:
% 184.21/29.08  | | | | | |   (62)  all_56_6 = e3
% 184.21/29.08  | | | | | | 
% 184.21/29.08  | | | | | | BETA: splitting (39) gives:
% 184.21/29.08  | | | | | | 
% 184.21/29.08  | | | | | | Case 1:
% 184.21/29.08  | | | | | | | 
% 184.21/29.08  | | | | | | |   (63)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 &
% 184.21/29.08  | | | | | | |           op(e2, e3) = e0)
% 184.21/29.08  | | | | | | | 
% 184.21/29.08  | | | | | | | REF_CLOSE: (1), (16), (18), (24), (30), (63) are inconsistent by
% 184.21/29.08  | | | | | | |            sub-proof #929.
% 184.21/29.08  | | | | | | | 
% 184.21/29.08  | | | | | | Case 2:
% 184.21/29.08  | | | | | | | 
% 184.21/29.08  | | | | | | |   (64)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 &
% 184.21/29.08  | | | | | | |           op(e0, e3) = e0)
% 184.21/29.08  | | | | | | | 
% 184.21/29.08  | | | | | | | BETA: splitting (64) gives:
% 184.21/29.08  | | | | | | | 
% 184.21/29.08  | | | | | | | Case 1:
% 184.21/29.08  | | | | | | | | 
% 184.21/29.08  | | | | | | | |   (65)  all_56_6 = e0 & op(e1, e3) = e0
% 184.21/29.08  | | | | | | | | 
% 184.21/29.08  | | | | | | | | ALPHA: (65) implies:
% 184.21/29.08  | | | | | | | |   (66)  op(e1, e3) = e0
% 184.21/29.08  | | | | | | | | 
% 184.21/29.08  | | | | | | | | REF_CLOSE: (18), (57), (58), (66) are inconsistent by sub-proof
% 184.21/29.08  | | | | | | | |            #1536.
% 184.21/29.08  | | | | | | | | 
% 184.21/29.08  | | | | | | | Case 2:
% 184.21/29.08  | | | | | | | | 
% 184.21/29.08  | | | | | | | |   (67)  all_56_12 = e0 & op(e0, e3) = e0
% 184.21/29.08  | | | | | | | | 
% 184.21/29.08  | | | | | | | | ALPHA: (67) implies:
% 184.21/29.08  | | | | | | | |   (68)  all_56_12 = e0
% 184.21/29.08  | | | | | | | |   (69)  op(e0, e3) = e0
% 184.21/29.08  | | | | | | | | 
% 184.21/29.08  | | | | | | | | BETA: splitting (35) gives:
% 184.21/29.08  | | | | | | | | 
% 184.21/29.08  | | | | | | | | Case 1:
% 184.21/29.08  | | | | | | | | | 
% 184.21/29.08  | | | | | | | | |   (70)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 &
% 184.21/29.08  | | | | | | | | |           op(e0, e2) = e2)
% 184.21/29.08  | | | | | | | | | 
% 184.21/29.08  | | | | | | | | | BETA: splitting (70) gives:
% 184.21/29.08  | | | | | | | | | 
% 184.21/29.08  | | | | | | | | | Case 1:
% 184.21/29.08  | | | | | | | | | | 
% 184.21/29.08  | | | | | | | | | |   (71)  all_56_12 = e2 & op(e0, e3) = e2
% 184.21/29.08  | | | | | | | | | | 
% 184.21/29.08  | | | | | | | | | | REF_CLOSE: (1), (8), (12), (13), (14), (18), (30), (39),
% 184.21/29.08  | | | | | | | | | |            (49), (50), (55), (56), (57), (71) are
% 184.21/29.08  | | | | | | | | | |            inconsistent by sub-proof #1544.
% 184.21/29.08  | | | | | | | | | | 
% 184.21/29.08  | | | | | | | | | Case 2:
% 184.21/29.08  | | | | | | | | | | 
% 184.21/29.08  | | | | | | | | | |   (72)  all_56_13 = e2 & op(e0, e2) = e2
% 184.21/29.08  | | | | | | | | | | 
% 184.21/29.08  | | | | | | | | | | ALPHA: (72) implies:
% 184.21/29.08  | | | | | | | | | |   (73)  op(e0, e2) = e2
% 184.21/29.08  | | | | | | | | | | 
% 184.21/29.08  | | | | | | | | | | BETA: splitting (20) gives:
% 184.21/29.08  | | | | | | | | | | 
% 184.21/29.08  | | | | | | | | | | Case 1:
% 184.21/29.08  | | | | | | | | | | | 
% 184.21/29.08  | | | | | | | | | | |   (74)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.21/29.08  | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 184.21/29.08  | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.21/29.08  | | | | | | | | | | |           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.21/29.08  | | | | | | | | | | |           = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 184.21/29.08  | | | | | | | | | | |           op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.21/29.08  | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 184.21/29.08  | | | | | | | | | | |           & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 184.21/29.08  | | | | | | | | | | |           & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 184.21/29.08  | | | | | | | | | | |           $i(all_57_28)) | (all_57_2 = all_57_28 &
% 184.21/29.08  | | | | | | | | | | |           all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 184.21/29.08  | | | | | | | | | | |             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 184.21/29.08  | | | | | | | | | | |           &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 184.21/29.08  | | | | | | | | | | |           all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.21/29.08  | | | | | | | | | | |             all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 184.21/29.08  | | | | | | | | | | |           & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 184.21/29.08  | | | | | | | | | | |           op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.21/29.08  | | | | | | | | | | |           $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.21/29.08  | | | | | | | | | | |           $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.21/29.08  | | | | | | | | | | |         (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.21/29.08  | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 184.21/29.08  | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.21/29.08  | | | | | | | | | | |           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 184.21/29.08  | | | | | | | | | | |           = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 184.21/29.08  | | | | | | | | | | |           op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 184.21/29.08  | | | | | | | | | | |           & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 184.21/29.08  | | | | | | | | | | |           op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.21/29.08  | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.21/29.08  | | | | | | | | | | |           $i(all_57_28)) | (all_57_4 = all_57_29 &
% 184.21/29.08  | | | | | | | | | | |           all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 184.21/29.08  | | | | | | | | | | |             e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 184.21/29.08  | | | | | | | | | | |           &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.21/29.08  | | | | | | | | | | |             all_57_20) = all_57_6 & op(e2, all_57_21) =
% 184.21/29.08  | | | | | | | | | | |           all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.21/29.08  | | | | | | | | | | |             e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 184.21/29.08  | | | | | | | | | | |           = all_57_20 & op(e2, e0) = all_57_21 &
% 184.21/29.08  | | | | | | | | | | |           $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 184.21/29.08  | | | | | | | | | | |           $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 184.21/29.08  | | | | | | | | | | | 
% 184.21/29.08  | | | | | | | | | | | REF_CLOSE: (9), (16), (18), (28), (43), (54), (57), (69),
% 184.21/29.08  | | | | | | | | | | |            (74) are inconsistent by sub-proof #124.
% 184.21/29.08  | | | | | | | | | | | 
% 184.21/29.08  | | | | | | | | | | Case 2:
% 184.21/29.08  | | | | | | | | | | | 
% 184.21/29.08  | | | | | | | | | | |   (75)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.21/29.08  | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 184.21/29.08  | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.21/29.08  | | | | | | | | | | |           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 184.21/29.08  | | | | | | | | | | |           = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.21/29.08  | | | | | | | | | | |           op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 184.21/29.08  | | | | | | | | | | |           & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.21/29.08  | | | | | | | | | | |           op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.21/29.08  | | | | | | | | | | |           $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.21/29.08  | | | | | | | | | | |           $i(all_57_29)) | (all_57_7 = all_57_29 &
% 184.21/29.08  | | | | | | | | | | |           all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 184.21/29.08  | | | | | | | | | | |             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 184.21/29.08  | | | | | | | | | | |           &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.21/29.08  | | | | | | | | | | |           all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.21/29.08  | | | | | | | | | | |             all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 184.21/29.08  | | | | | | | | | | |           & op(e2, e2) = all_57_29 & op(e2, e1) =
% 184.21/29.08  | | | | | | | | | | |           all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.21/29.08  | | | | | | | | | | |           $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.21/29.08  | | | | | | | | | | |           $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 184.21/29.08  | | | | | | | | | | |         (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.21/29.08  | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 184.21/29.08  | | | | | | | | | | |           &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.21/29.08  | | | | | | | | | | |           op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.21/29.08  | | | | | | | | | | |           op(e1, all_57_24) = all_57_11 & op(e1,
% 184.21/29.08  | | | | | | | | | | |             all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 184.21/29.08  | | | | | | | | | | |           op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.21/29.08  | | | | | | | | | | |           & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 184.21/29.08  | | | | | | | | | | |           $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.21/29.08  | | | | | | | | | | |           $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 184.21/29.08  | | | | | | | | | | |           all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.21/29.08  | | | | | | | | | | |           (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.21/29.08  | | | | | | | | | | |           (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.21/29.08  | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.21/29.08  | | | | | | | | | | |           op(e1, all_57_24) = all_57_11 & op(e1,
% 184.21/29.08  | | | | | | | | | | |             all_57_30) = all_57_10 & op(e1, e3) =
% 184.21/29.08  | | | | | | | | | | |           all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.21/29.08  | | | | | | | | | | |           all_57_30 & op(e1, e0) = all_57_24 &
% 184.21/29.08  | | | | | | | | | | |           $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.21/29.08  | | | | | | | | | | |           $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.21/29.08  | | | | | | | | | | |         (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.21/29.08  | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.21/29.08  | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.21/29.08  | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.21/29.08  | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 184.21/29.08  | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.21/29.08  | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.21/29.08  | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.21/29.08  | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 184.21/29.08  | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.21/29.08  | | | | | | | | | | |               & $i(all_57_22) & $i(all_57_23) &
% 184.21/29.08  | | | | | | | | | | |               $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.21/29.08  | | | | | | | | | | |               (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.21/29.08  | | | | | | | | | | |               (all_57_15 = e0) & op(e0, all_57_25) =
% 184.21/29.08  | | | | | | | | | | |               all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.21/29.08  | | | | | | | | | | |               op(e0, all_57_27) = all_57_14 & op(e0,
% 184.21/29.08  | | | | | | | | | | |                 all_57_31) = all_57_15 & op(e0, e3) =
% 184.21/29.08  | | | | | | | | | | |               all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.21/29.08  | | | | | | | | | | |                 e0) = all_57_31 & $i(all_57_12) &
% 184.21/29.08  | | | | | | | | | | |               $i(all_57_13) & $i(all_57_14) &
% 184.21/29.08  | | | | | | | | | | |               $i(all_57_15) & $i(all_57_25) &
% 184.21/29.08  | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.21/29.08  | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.21/29.08  | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.21/29.08  | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 184.21/29.08  | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.21/29.08  | | | | | | | | | | |                     e0) = e0)))))
% 184.21/29.08  | | | | | | | | | | | 
% 184.21/29.08  | | | | | | | | | | | BETA: splitting (75) gives:
% 184.21/29.08  | | | | | | | | | | | 
% 184.21/29.08  | | | | | | | | | | | Case 1:
% 184.21/29.08  | | | | | | | | | | | | 
% 184.21/29.08  | | | | | | | | | | | |   (76)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.21/29.08  | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 184.21/29.08  | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.21/29.08  | | | | | | | | | | | |           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 184.21/29.08  | | | | | | | | | | | |           = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.21/29.08  | | | | | | | | | | | |           op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 184.21/29.08  | | | | | | | | | | | |           & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.21/29.08  | | | | | | | | | | | |           op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.21/29.08  | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.21/29.08  | | | | | | | | | | | |           $i(all_57_29)) | (all_57_7 = all_57_29 &
% 184.21/29.08  | | | | | | | | | | | |           all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 184.21/29.08  | | | | | | | | | | | |             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 184.21/29.08  | | | | | | | | | | | |           &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.21/29.08  | | | | | | | | | | | |           all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.21/29.08  | | | | | | | | | | | |             all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 184.21/29.08  | | | | | | | | | | | |           & op(e2, e2) = all_57_29 & op(e2, e1) =
% 184.21/29.08  | | | | | | | | | | | |           all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.21/29.08  | | | | | | | | | | | |           $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.21/29.08  | | | | | | | | | | | |           $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 184.21/29.08  | | | | | | | | | | | | 
% 184.21/29.08  | | | | | | | | | | | | REF_CLOSE: (18), (19), (25), (32), (34), (76) are
% 184.21/29.08  | | | | | | | | | | | |            inconsistent by sub-proof #257.
% 184.21/29.08  | | | | | | | | | | | | 
% 184.21/29.08  | | | | | | | | | | | Case 2:
% 184.21/29.08  | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | |   (77)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.21/29.09  | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 184.21/29.09  | | | | | | | | | | | |           &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.21/29.09  | | | | | | | | | | | |           op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.21/29.09  | | | | | | | | | | | |           op(e1, all_57_24) = all_57_11 & op(e1,
% 184.21/29.09  | | | | | | | | | | | |             all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 184.21/29.09  | | | | | | | | | | | |           op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.21/29.09  | | | | | | | | | | | |           & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 184.21/29.09  | | | | | | | | | | | |           $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.21/29.09  | | | | | | | | | | | |           $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 184.21/29.09  | | | | | | | | | | | |           all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.21/29.09  | | | | | | | | | | | |           (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.21/29.09  | | | | | | | | | | | |           (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.21/29.09  | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.21/29.09  | | | | | | | | | | | |           op(e1, all_57_24) = all_57_11 & op(e1,
% 184.21/29.09  | | | | | | | | | | | |             all_57_30) = all_57_10 & op(e1, e3) =
% 184.21/29.09  | | | | | | | | | | | |           all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.21/29.09  | | | | | | | | | | | |           all_57_30 & op(e1, e0) = all_57_24 &
% 184.21/29.09  | | | | | | | | | | | |           $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.21/29.09  | | | | | | | | | | | |           $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.21/29.09  | | | | | | | | | | | |         (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.21/29.09  | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.21/29.09  | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.21/29.09  | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.21/29.09  | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 184.21/29.09  | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.21/29.09  | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.21/29.09  | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.21/29.09  | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 184.21/29.09  | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.21/29.09  | | | | | | | | | | | |               & $i(all_57_22) & $i(all_57_23) &
% 184.21/29.09  | | | | | | | | | | | |               $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.21/29.09  | | | | | | | | | | | |               (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.21/29.09  | | | | | | | | | | | |               (all_57_15 = e0) & op(e0, all_57_25) =
% 184.21/29.09  | | | | | | | | | | | |               all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.21/29.09  | | | | | | | | | | | |               op(e0, all_57_27) = all_57_14 & op(e0,
% 184.21/29.09  | | | | | | | | | | | |                 all_57_31) = all_57_15 & op(e0, e3) =
% 184.21/29.09  | | | | | | | | | | | |               all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.21/29.09  | | | | | | | | | | | |                 e0) = all_57_31 & $i(all_57_12) &
% 184.21/29.09  | | | | | | | | | | | |               $i(all_57_13) & $i(all_57_14) &
% 184.21/29.09  | | | | | | | | | | | |               $i(all_57_15) & $i(all_57_25) &
% 184.21/29.09  | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.21/29.09  | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.21/29.09  | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.21/29.09  | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 184.21/29.09  | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.21/29.09  | | | | | | | | | | | |                     e0) = e0)))))
% 184.21/29.09  | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | BETA: splitting (77) gives:
% 184.21/29.09  | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | Case 1:
% 184.21/29.09  | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | |   (78)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.21/29.09  | | | | | | | | | | | | |         = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 184.21/29.09  | | | | | | | | | | | | |         ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 184.21/29.09  | | | | | | | | | | | | |           e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.21/29.09  | | | | | | | | | | | | |           all_57_24) = all_57_11 & op(e1, all_57_30) =
% 184.21/29.09  | | | | | | | | | | | | |         all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 184.21/29.09  | | | | | | | | | | | | |         all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.21/29.09  | | | | | | | | | | | | |         all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 184.21/29.09  | | | | | | | | | | | | |         $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 184.21/29.09  | | | | | | | | | | | | |         $i(all_57_30)
% 184.21/29.09  | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | ALPHA: (78) implies:
% 184.21/29.09  | | | | | | | | | | | | |   (79)  op(e1, e3) = e1
% 184.21/29.09  | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | REF_CLOSE: (3), (18), (47), (79) are inconsistent by
% 184.21/29.09  | | | | | | | | | | | | |            sub-proof #1597.
% 184.21/29.09  | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | Case 2:
% 184.21/29.09  | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | |   (80)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 184.21/29.09  | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 184.21/29.09  | | | | | | | | | | | | |           &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 184.21/29.09  | | | | | | | | | | | | |           op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.21/29.09  | | | | | | | | | | | | |           op(e1, all_57_24) = all_57_11 & op(e1,
% 184.21/29.09  | | | | | | | | | | | | |             all_57_30) = all_57_10 & op(e1, e3) =
% 184.21/29.09  | | | | | | | | | | | | |           all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.21/29.09  | | | | | | | | | | | | |           all_57_30 & op(e1, e0) = all_57_24 &
% 184.21/29.09  | | | | | | | | | | | | |           $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.21/29.09  | | | | | | | | | | | | |           $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.21/29.09  | | | | | | | | | | | | |         (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.21/29.09  | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.21/29.09  | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.21/29.09  | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.21/29.09  | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 184.21/29.09  | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.21/29.09  | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.21/29.09  | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.21/29.09  | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 184.21/29.09  | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.21/29.09  | | | | | | | | | | | | |               & $i(all_57_22) & $i(all_57_23) &
% 184.21/29.09  | | | | | | | | | | | | |               $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.21/29.09  | | | | | | | | | | | | |               (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.21/29.09  | | | | | | | | | | | | |               (all_57_15 = e0) & op(e0, all_57_25) =
% 184.21/29.09  | | | | | | | | | | | | |               all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.21/29.09  | | | | | | | | | | | | |               op(e0, all_57_27) = all_57_14 & op(e0,
% 184.21/29.09  | | | | | | | | | | | | |                 all_57_31) = all_57_15 & op(e0, e3) =
% 184.21/29.09  | | | | | | | | | | | | |               all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.21/29.09  | | | | | | | | | | | | |                 e0) = all_57_31 & $i(all_57_12) &
% 184.21/29.09  | | | | | | | | | | | | |               $i(all_57_13) & $i(all_57_14) &
% 184.21/29.09  | | | | | | | | | | | | |               $i(all_57_15) & $i(all_57_25) &
% 184.21/29.09  | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.21/29.09  | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.21/29.09  | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.21/29.09  | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 184.21/29.09  | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.21/29.09  | | | | | | | | | | | | |                     e0) = e0)))))
% 184.21/29.09  | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | BETA: splitting (80) gives:
% 184.21/29.09  | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | Case 1:
% 184.21/29.09  | | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | |   (81)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 184.21/29.09  | | | | | | | | | | | | | |         = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 184.21/29.09  | | | | | | | | | | | | | |         ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.21/29.09  | | | | | | | | | | | | | |           e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 184.21/29.09  | | | | | | | | | | | | | |           all_57_24) = all_57_11 & op(e1, all_57_30) =
% 184.21/29.09  | | | | | | | | | | | | | |         all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.21/29.09  | | | | | | | | | | | | | |         e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.21/29.09  | | | | | | | | | | | | | |         all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 184.21/29.09  | | | | | | | | | | | | | |         $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.21/29.09  | | | | | | | | | | | | | |         $i(all_57_30)
% 184.21/29.09  | | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | | ALPHA: (81) implies:
% 184.21/29.09  | | | | | | | | | | | | | |   (82)  op(e2, e1) = e1
% 184.21/29.09  | | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | | REF_CLOSE: (2), (18), (49), (82) are inconsistent by
% 184.21/29.09  | | | | | | | | | | | | | |            sub-proof #1148.
% 184.21/29.09  | | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | Case 2:
% 184.21/29.09  | | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | |   (83)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.21/29.09  | | | | | | | | | | | | | |         ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.21/29.09  | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.21/29.09  | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.21/29.09  | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) =
% 184.21/29.09  | | | | | | | | | | | | | |             all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.21/29.09  | | | | | | | | | | | | | |             op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.21/29.09  | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.21/29.09  | | | | | | | | | | | | | |               e1) = all_57_30 & op(e1, e0) = e1 &
% 184.21/29.09  | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 184.21/29.09  | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 184.21/29.09  | | | | | | | | | | | | | |           | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 184.21/29.09  | | | | | | | | | | | | | |             ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.21/29.09  | | | | | | | | | | | | | |             op(e0, all_57_25) = all_57_12 & op(e0,
% 184.21/29.09  | | | | | | | | | | | | | |               all_57_26) = all_57_13 & op(e0, all_57_27) =
% 184.21/29.09  | | | | | | | | | | | | | |             all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.21/29.09  | | | | | | | | | | | | | |             op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.21/29.09  | | | | | | | | | | | | | |             all_57_26 & op(e0, e0) = all_57_31 &
% 184.21/29.09  | | | | | | | | | | | | | |             $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 184.21/29.09  | | | | | | | | | | | | | |             & $i(all_57_15) & $i(all_57_25) &
% 184.21/29.09  | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.21/29.09  | | | | | | | | | | | | | |               e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.21/29.09  | | | | | | | | | | | | | |                 op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.21/29.09  | | | | | | | | | | | | | |                 all_57_26 = e0 & op(e2, e0) = e0) |
% 184.21/29.09  | | | | | | | | | | | | | |               (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.21/29.09  | | | | | | | | | | | | | |                   e0) = e0))))
% 184.21/29.09  | | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | | ALPHA: (83) implies:
% 184.21/29.09  | | | | | | | | | | | | | |   (84)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.21/29.09  | | | | | | | | | | | | | |           all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.21/29.09  | | | | | | | | | | | | | |           (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.21/29.09  | | | | | | | | | | | | | |           (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 184.21/29.09  | | | | | | | | | | | | | |           & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.21/29.09  | | | | | | | | | | | | | |             all_57_30) = all_57_10 & op(e1, e3) =
% 184.21/29.09  | | | | | | | | | | | | | |           all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 184.21/29.09  | | | | | | | | | | | | | |           = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 184.21/29.09  | | | | | | | | | | | | | |           $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.21/29.09  | | | | | | | | | | | | | |           $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 184.21/29.09  | | | | | | | | | | | | | |             = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 184.21/29.09  | | | | | | | | | | | | | |             e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 184.21/29.09  | | | | | | | | | | | | | |           = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.21/29.09  | | | | | | | | | | | | | |           op(e0, all_57_27) = all_57_14 & op(e0,
% 184.21/29.09  | | | | | | | | | | | | | |             all_57_31) = all_57_15 & op(e0, e3) =
% 184.21/29.09  | | | | | | | | | | | | | |           all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 184.21/29.09  | | | | | | | | | | | | | |           = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.21/29.09  | | | | | | | | | | | | | |           $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 184.21/29.09  | | | | | | | | | | | | | |           $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 184.21/29.09  | | | | | | | | | | | | | |             | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 184.21/29.09  | | | | | | | | | | | | | |                 e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 184.21/29.09  | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 184.21/29.09  | | | | | | | | | | | | | |               all_57_27 = e0 & op(e1, e0) = e0)))
% 184.21/29.09  | | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | | REF_CLOSE: (4), (10), (18), (73), (84) are inconsistent by
% 184.21/29.09  | | | | | | | | | | | | | |            sub-proof #77.
% 184.21/29.09  | | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | End of split
% 184.21/29.09  | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | End of split
% 184.21/29.09  | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | End of split
% 184.21/29.09  | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | End of split
% 184.21/29.09  | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | End of split
% 184.21/29.09  | | | | | | | | | 
% 184.21/29.09  | | | | | | | | Case 2:
% 184.21/29.09  | | | | | | | | | 
% 184.21/29.09  | | | | | | | | |   (85)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 &
% 184.21/29.09  | | | | | | | | |           op(e0, e0) = e2)
% 184.21/29.09  | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | BETA: splitting (85) gives:
% 184.21/29.09  | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | Case 1:
% 184.21/29.09  | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | |   (86)  all_56_14 = e2 & op(e0, e1) = e2
% 184.21/29.09  | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | ALPHA: (86) implies:
% 184.21/29.09  | | | | | | | | | |   (87)  all_56_14 = e2
% 184.21/29.09  | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | COMBINE_EQS: (29), (87) imply:
% 184.21/29.09  | | | | | | | | | |   (88)  e3 = e2
% 184.21/29.09  | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | COMBINE_EQS: (62), (88) imply:
% 184.21/29.09  | | | | | | | | | |   (89)  all_56_6 = e2
% 184.21/29.09  | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | REF_CLOSE: (8), (13), (14), (18), (49), (50), (55), (56),
% 184.21/29.09  | | | | | | | | | |            (57), (68), (69), (89) are inconsistent by
% 184.21/29.09  | | | | | | | | | |            sub-proof #445.
% 184.21/29.09  | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | Case 2:
% 184.21/29.09  | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | |   (90)  all_56_15 = e2 & op(e0, e0) = e2
% 184.21/29.09  | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | ALPHA: (90) implies:
% 184.21/29.09  | | | | | | | | | |   (91)  op(e0, e0) = e2
% 184.21/29.09  | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | REF_CLOSE: (18), (33), (49), (91) are inconsistent by
% 184.21/29.09  | | | | | | | | | |            sub-proof #110.
% 184.21/29.09  | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | End of split
% 184.21/29.09  | | | | | | | | | 
% 184.21/29.09  | | | | | | | | End of split
% 184.21/29.09  | | | | | | | | 
% 184.21/29.09  | | | | | | | End of split
% 184.21/29.09  | | | | | | | 
% 184.21/29.09  | | | | | | End of split
% 184.21/29.09  | | | | | | 
% 184.21/29.09  | | | | | Case 2:
% 184.21/29.09  | | | | | | 
% 184.21/29.09  | | | | | |   (92)  all_56_12 = e3 & op(e0, e3) = e3
% 184.21/29.09  | | | | | | 
% 184.21/29.09  | | | | | | ALPHA: (92) implies:
% 184.21/29.09  | | | | | |   (93)  op(e0, e3) = e3
% 184.21/29.09  | | | | | | 
% 184.21/29.09  | | | | | | BETA: splitting (39) gives:
% 184.21/29.09  | | | | | | 
% 184.21/29.09  | | | | | | Case 1:
% 184.21/29.09  | | | | | | | 
% 184.21/29.09  | | | | | | |   (94)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 &
% 184.21/29.09  | | | | | | |           op(e2, e3) = e0)
% 184.21/29.09  | | | | | | | 
% 184.21/29.09  | | | | | | | REF_CLOSE: (1), (16), (18), (24), (30), (94) are inconsistent by
% 184.21/29.09  | | | | | | |            sub-proof #929.
% 184.21/29.09  | | | | | | | 
% 184.21/29.09  | | | | | | Case 2:
% 184.21/29.09  | | | | | | | 
% 184.21/29.09  | | | | | | |   (95)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 &
% 184.21/29.09  | | | | | | |           op(e0, e3) = e0)
% 184.21/29.09  | | | | | | | 
% 184.21/29.09  | | | | | | | BETA: splitting (95) gives:
% 184.21/29.09  | | | | | | | 
% 184.21/29.09  | | | | | | | Case 1:
% 184.21/29.09  | | | | | | | | 
% 184.21/29.09  | | | | | | | |   (96)  all_56_6 = e0 & op(e1, e3) = e0
% 184.21/29.09  | | | | | | | | 
% 184.21/29.09  | | | | | | | | ALPHA: (96) implies:
% 184.21/29.09  | | | | | | | |   (97)  op(e1, e3) = e0
% 184.21/29.09  | | | | | | | | 
% 184.21/29.09  | | | | | | | | REF_CLOSE: (18), (57), (58), (97) are inconsistent by sub-proof
% 184.21/29.09  | | | | | | | |            #1536.
% 184.21/29.09  | | | | | | | | 
% 184.21/29.09  | | | | | | | Case 2:
% 184.21/29.09  | | | | | | | | 
% 184.21/29.09  | | | | | | | |   (98)  all_56_12 = e0 & op(e0, e3) = e0
% 184.21/29.09  | | | | | | | | 
% 184.21/29.09  | | | | | | | | ALPHA: (98) implies:
% 184.21/29.09  | | | | | | | |   (99)  op(e0, e3) = e0
% 184.21/29.09  | | | | | | | | 
% 184.21/29.09  | | | | | | | | REF_CLOSE: (18), (57), (93), (99) are inconsistent by sub-proof
% 184.21/29.09  | | | | | | | |            #125.
% 184.21/29.09  | | | | | | | | 
% 184.21/29.09  | | | | | | | End of split
% 184.21/29.09  | | | | | | | 
% 184.21/29.09  | | | | | | End of split
% 184.21/29.09  | | | | | | 
% 184.21/29.09  | | | | | End of split
% 184.21/29.09  | | | | | 
% 184.21/29.09  | | | | End of split
% 184.21/29.09  | | | | 
% 184.21/29.09  | | | Case 2:
% 184.21/29.09  | | | | 
% 184.21/29.09  | | | |   (100)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 184.21/29.09  | | | | 
% 184.21/29.09  | | | | REF_CLOSE: (7), (21), (31), (47), (100) are inconsistent by sub-proof
% 184.21/29.09  | | | |            #117.
% 184.21/29.09  | | | | 
% 184.21/29.09  | | | End of split
% 184.21/29.09  | | | 
% 184.21/29.09  | | Case 2:
% 184.21/29.09  | | | 
% 184.21/29.09  | | |   (101)  all_54_9 = e0
% 184.21/29.09  | | | 
% 184.21/29.09  | | | REF_CLOSE: (11), (23), (101) are inconsistent by sub-proof #1321.
% 184.21/29.09  | | | 
% 184.21/29.09  | | End of split
% 184.21/29.09  | | 
% 184.21/29.09  | Case 2:
% 184.21/29.09  | | 
% 184.21/29.09  | |   (102)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 184.21/29.09  | | 
% 184.21/29.09  | | REF_CLOSE: (6), (27), (36), (37), (102) are inconsistent by sub-proof #826.
% 184.21/29.09  | | 
% 184.21/29.09  | End of split
% 184.21/29.09  | 
% 184.21/29.09  End of proof
% 184.21/29.09  
% 184.21/29.09  Sub-proof #59 shows that the following formulas are inconsistent:
% 184.21/29.09  ----------------------------------------------------------------
% 184.21/29.09    (1)  all_54_6 = all_52_9
% 184.21/29.09    (2)  op(e3, e1) = e1
% 184.21/29.09    (3)   ~ (all_52_9 = e0)
% 184.21/29.09    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.09    (5)   ~ (all_52_9 = e2)
% 184.21/29.09    (6)   ~ (all_52_8 = all_52_9)
% 184.21/29.09    (7)  op(e3, e1) = all_52_8
% 184.21/29.09    (8)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 184.21/29.09  
% 184.21/29.09  Begin of proof
% 184.21/29.09  | 
% 184.21/29.09  | BETA: splitting (8) gives:
% 184.21/29.09  | 
% 184.21/29.09  | Case 1:
% 184.21/29.09  | | 
% 184.21/29.09  | |   (9)  all_54_6 = e2
% 184.21/29.09  | | 
% 184.21/29.09  | | REF_CLOSE: (1), (5), (9) are inconsistent by sub-proof #1241.
% 184.21/29.09  | | 
% 184.21/29.09  | Case 2:
% 184.21/29.09  | | 
% 184.21/29.09  | |   (10)  all_54_6 = e1 | all_54_6 = e0
% 184.21/29.09  | | 
% 184.21/29.09  | | BETA: splitting (10) gives:
% 184.21/29.09  | | 
% 184.21/29.09  | | Case 1:
% 184.21/29.09  | | | 
% 184.21/29.09  | | |   (11)  all_54_6 = e1
% 184.21/29.09  | | | 
% 184.21/29.09  | | | COMBINE_EQS: (1), (11) imply:
% 184.21/29.09  | | |   (12)  all_52_9 = e1
% 184.21/29.09  | | | 
% 184.21/29.09  | | | SIMP: (12) implies:
% 184.21/29.09  | | |   (13)  all_52_9 = e1
% 184.21/29.09  | | | 
% 184.21/29.09  | | | REDUCE: (6), (13) imply:
% 184.21/29.09  | | |   (14)   ~ (all_52_8 = e1)
% 184.21/29.09  | | | 
% 184.21/29.09  | | | REF_CLOSE: (2), (4), (7), (14) are inconsistent by sub-proof #1611.
% 184.21/29.09  | | | 
% 184.21/29.09  | | Case 2:
% 184.21/29.09  | | | 
% 184.21/29.09  | | |   (15)  all_54_6 = e0
% 184.21/29.09  | | | 
% 184.21/29.09  | | | REF_CLOSE: (1), (3), (15) are inconsistent by sub-proof #1235.
% 184.21/29.09  | | | 
% 184.21/29.09  | | End of split
% 184.21/29.09  | | 
% 184.21/29.09  | End of split
% 184.21/29.09  | 
% 184.21/29.09  End of proof
% 184.21/29.09  
% 184.21/29.09  Sub-proof #60 shows that the following formulas are inconsistent:
% 184.21/29.09  ----------------------------------------------------------------
% 184.21/29.09    (1)   ~ (all_52_3 = e1)
% 184.21/29.09    (2)   ~ (all_4_2 = e0)
% 184.21/29.09    (3)   ~ (all_52_7 = e3)
% 184.21/29.09    (4)   ~ (all_52_6 = all_52_14)
% 184.21/29.09    (5)   ~ (all_52_13 = e3)
% 184.21/29.09    (6)   ~ (e1 = e0)
% 184.21/29.09    (7)  op(e1, e0) = all_52_14
% 184.21/29.09    (8)   ~ (e3 = e0)
% 184.21/29.09    (9)  op(e0, e1) = all_52_11
% 184.21/29.09    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 184.21/29.09          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.21/29.09    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.21/29.09          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.21/29.09    (12)  op(e2, e2) = e3
% 184.21/29.09    (13)   ~ (all_52_7 = e1)
% 184.21/29.09    (14)   ~ (all_52_6 = e0)
% 184.21/29.09    (15)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 184.21/29.09          | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 184.21/29.09            e2) | ( ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 & $i(all_57_23))
% 184.21/29.09    (16)  op(e3, e0) = all_52_12
% 184.21/29.09    (17)   ~ (e2 = e0)
% 184.21/29.09    (18)  all_54_13 = all_52_7
% 184.21/29.09    (19)   ~ (all_52_6 = all_52_7)
% 184.21/29.09    (20)   ~ (e3 = e1)
% 184.21/29.09    (21)  op(e0, e3) = all_52_3
% 184.21/29.09    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.09            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.09    (23)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 184.21/29.09    (24)  all_54_9 = all_52_6
% 184.21/29.09    (25)   ~ (all_52_12 = e3)
% 184.21/29.09    (26)  op(e2, e0) = all_52_13
% 184.21/29.09    (27)   ~ (e3 = e2)
% 184.21/29.09    (28)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 184.21/29.09          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.21/29.09    (29)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 184.21/29.09          | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 184.21/29.09            e2) | ( ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 & $i(all_57_16))
% 184.21/29.09    (30)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 184.21/29.09          | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 184.21/29.09            e2) | ( ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 & $i(all_57_29))
% 184.21/29.09    (31)  op(e3, e3) = all_4_2
% 184.21/29.09    (32)  op(e1, e1) = e0
% 184.21/29.09    (33)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.21/29.09          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 184.21/29.09            e3)
% 184.21/29.09    (34)  op(e1, e2) = all_52_6
% 184.21/29.09    (35)  op(e0, e0) = e1
% 184.21/29.09    (36)  op(e3, e3) = e3
% 184.21/29.09    (37)   ~ (e2 = e1)
% 184.21/29.09    (38)  op(e0, e2) = all_52_7
% 184.21/29.09    (39)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 184.21/29.09    (40)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 184.21/29.09          | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 184.21/29.09            e2) | ( ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 & $i(all_57_26))
% 184.21/29.09    (41)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.21/29.09          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.21/29.09    (42)   ~ (all_52_7 = all_52_11)
% 184.21/29.09  
% 184.21/29.09  Begin of proof
% 184.21/29.09  | 
% 184.21/29.09  | BETA: splitting (33) gives:
% 184.21/29.09  | 
% 184.21/29.09  | Case 1:
% 184.21/29.09  | | 
% 184.21/29.09  | |   (43)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 184.21/29.09  | |           e3)
% 184.21/29.09  | | 
% 184.21/29.09  | | BETA: splitting (43) gives:
% 184.21/29.09  | | 
% 184.21/29.09  | | Case 1:
% 184.21/29.09  | | | 
% 184.21/29.09  | | |   (44)  all_56_12 = e3 & op(e0, e3) = e3
% 184.21/29.09  | | | 
% 184.21/29.09  | | | ALPHA: (44) implies:
% 184.21/29.09  | | |   (45)  all_56_12 = e3
% 184.21/29.09  | | |   (46)  op(e0, e3) = e3
% 184.21/29.09  | | | 
% 184.21/29.09  | | | BETA: splitting (10) gives:
% 184.21/29.09  | | | 
% 184.21/29.09  | | | Case 1:
% 184.21/29.09  | | | | 
% 184.21/29.09  | | | |   (47)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3)
% 184.21/29.09  | | | |           = e2)
% 184.21/29.09  | | | | 
% 184.21/29.09  | | | | REF_CLOSE: (2), (6), (8), (11), (17), (20), (21), (22), (27), (31),
% 184.21/29.09  | | | |            (36), (37), (41), (45), (46), (47) are inconsistent by
% 184.21/29.09  | | | |            sub-proof #207.
% 184.21/29.09  | | | | 
% 184.21/29.09  | | | Case 2:
% 184.21/29.09  | | | | 
% 184.21/29.09  | | | |   (48)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3)
% 184.21/29.09  | | | |           = e2)
% 184.21/29.09  | | | | 
% 184.21/29.09  | | | | REF_CLOSE: (1), (2), (6), (8), (11), (17), (20), (21), (22), (27), (31),
% 184.21/29.09  | | | |            (36), (37), (41), (45), (46), (48) are inconsistent by
% 184.21/29.09  | | | |            sub-proof #98.
% 184.21/29.09  | | | | 
% 184.21/29.09  | | | End of split
% 184.21/29.09  | | | 
% 184.21/29.09  | | Case 2:
% 184.21/29.09  | | | 
% 184.21/29.09  | | |   (49)  all_56_13 = e3 & op(e0, e2) = e3
% 184.21/29.09  | | | 
% 184.21/29.09  | | | REF_CLOSE: (3), (22), (38), (49) are inconsistent by sub-proof #61.
% 184.21/29.09  | | | 
% 184.21/29.09  | | End of split
% 184.21/29.09  | | 
% 184.21/29.09  | Case 2:
% 184.21/29.09  | | 
% 184.21/29.09  | |   (50)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 184.21/29.09  | |           e3)
% 184.21/29.09  | | 
% 184.21/29.09  | | BETA: splitting (50) gives:
% 184.21/29.09  | | 
% 184.21/29.09  | | Case 1:
% 184.21/29.09  | | | 
% 184.21/29.09  | | |   (51)  all_56_14 = e3 & op(e0, e1) = e3
% 184.21/29.09  | | | 
% 184.21/29.09  | | | ALPHA: (51) implies:
% 184.21/29.09  | | |   (52)  op(e0, e1) = e3
% 184.21/29.09  | | | 
% 184.21/29.09  | | | BETA: splitting (28) gives:
% 184.21/29.09  | | | 
% 184.21/29.09  | | | Case 1:
% 184.21/29.09  | | | | 
% 184.21/29.09  | | | |   (53)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0)
% 184.21/29.09  | | | |           = e3)
% 184.21/29.09  | | | | 
% 184.21/29.09  | | | | REF_CLOSE: (5), (16), (22), (25), (26), (53) are inconsistent by
% 184.21/29.09  | | | |            sub-proof #208.
% 184.21/29.09  | | | | 
% 184.21/29.09  | | | Case 2:
% 184.21/29.09  | | | | 
% 184.21/29.09  | | | |   (54)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0,
% 184.21/29.09  | | | |             e0) = e3)
% 184.21/29.09  | | | | 
% 184.21/29.09  | | | | BETA: splitting (54) gives:
% 184.21/29.09  | | | | 
% 184.21/29.09  | | | | Case 1:
% 184.21/29.09  | | | | | 
% 184.21/29.09  | | | | |   (55)  all_56_11 = e3 & op(e1, e0) = e3
% 184.21/29.09  | | | | | 
% 184.21/29.09  | | | | | BETA: splitting (30) gives:
% 184.21/29.09  | | | | | 
% 184.21/29.09  | | | | | Case 1:
% 184.21/29.09  | | | | | | 
% 184.21/29.09  | | | | | |   (56)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 &
% 184.21/29.09  | | | | | |           op(e2, e2) = e2)
% 184.21/29.09  | | | | | | 
% 184.21/29.09  | | | | | | REF_CLOSE: (12), (22), (27), (36), (56) are inconsistent by
% 184.21/29.09  | | | | | |            sub-proof #283.
% 184.21/29.09  | | | | | | 
% 184.21/29.09  | | | | | Case 2:
% 184.21/29.09  | | | | | | 
% 184.21/29.09  | | | | | |   (57)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 &
% 184.21/29.09  | | | | | |           op(e0, e0) = e2) | ( ~ (all_57_29 = e2) & op(e2, e2) =
% 184.21/29.09  | | | | | |           all_57_29 & $i(all_57_29))
% 184.21/29.09  | | | | | | 
% 184.21/29.09  | | | | | | BETA: splitting (57) gives:
% 184.21/29.09  | | | | | | 
% 184.21/29.09  | | | | | | Case 1:
% 184.21/29.09  | | | | | | | 
% 184.21/29.09  | | | | | | |   (58)  all_57_30 = e2 & op(e1, e1) = e2
% 184.21/29.09  | | | | | | | 
% 184.21/29.09  | | | | | | | ALPHA: (58) implies:
% 184.21/29.09  | | | | | | |   (59)  op(e1, e1) = e2
% 184.21/29.09  | | | | | | | 
% 184.21/29.09  | | | | | | | REF_CLOSE: (17), (22), (32), (59) are inconsistent by sub-proof
% 184.21/29.09  | | | | | | |            #1230.
% 184.21/29.09  | | | | | | | 
% 184.21/29.09  | | | | | | Case 2:
% 184.21/29.09  | | | | | | | 
% 184.21/29.09  | | | | | | |   (60)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2)
% 184.21/29.09  | | | | | | |           & op(e2, e2) = all_57_29 & $i(all_57_29))
% 184.21/29.09  | | | | | | | 
% 184.21/29.09  | | | | | | | BETA: splitting (60) gives:
% 184.21/29.09  | | | | | | | 
% 184.21/29.09  | | | | | | | Case 1:
% 184.21/29.09  | | | | | | | | 
% 184.21/29.09  | | | | | | | |   (61)  all_57_31 = e2 & op(e0, e0) = e2
% 184.21/29.09  | | | | | | | | 
% 184.21/29.09  | | | | | | | | ALPHA: (61) implies:
% 184.21/29.09  | | | | | | | |   (62)  op(e0, e0) = e2
% 184.21/29.09  | | | | | | | | 
% 184.21/29.09  | | | | | | | | REF_CLOSE: (22), (35), (37), (62) are inconsistent by sub-proof
% 184.21/29.09  | | | | | | | |            #110.
% 184.21/29.09  | | | | | | | | 
% 184.21/29.09  | | | | | | | Case 2:
% 184.21/29.09  | | | | | | | | 
% 184.21/29.09  | | | | | | | |   (63)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 184.21/29.09  | | | | | | | |         $i(all_57_29)
% 184.21/29.09  | | | | | | | | 
% 184.21/29.09  | | | | | | | | ALPHA: (63) implies:
% 184.21/29.09  | | | | | | | |   (64)   ~ (all_57_29 = e2)
% 184.21/29.09  | | | | | | | |   (65)  op(e2, e2) = all_57_29
% 184.21/29.09  | | | | | | | | 
% 184.21/29.09  | | | | | | | | BETA: splitting (40) gives:
% 184.21/29.09  | | | | | | | | 
% 184.21/29.09  | | | | | | | | Case 1:
% 184.21/29.09  | | | | | | | | | 
% 184.21/29.09  | | | | | | | | |   (66)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 &
% 184.21/29.09  | | | | | | | | |           op(e2, e2) = e2)
% 184.21/29.09  | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | REF_CLOSE: (22), (27), (36), (64), (65), (66) are inconsistent
% 184.21/29.09  | | | | | | | | |            by sub-proof #282.
% 184.21/29.09  | | | | | | | | | 
% 184.21/29.09  | | | | | | | | Case 2:
% 184.21/29.09  | | | | | | | | | 
% 184.21/29.09  | | | | | | | | |   (67)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 &
% 184.21/29.09  | | | | | | | | |           op(e0, e0) = e2) | ( ~ (all_57_26 = e0) & op(e0, e2)
% 184.21/29.09  | | | | | | | | |           = all_57_26 & $i(all_57_26))
% 184.21/29.09  | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | BETA: splitting (67) gives:
% 184.21/29.09  | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | Case 1:
% 184.21/29.09  | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | |   (68)  all_57_30 = e2 & op(e1, e1) = e2
% 184.21/29.09  | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | ALPHA: (68) implies:
% 184.21/29.09  | | | | | | | | | |   (69)  op(e1, e1) = e2
% 184.21/29.09  | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | REF_CLOSE: (17), (22), (32), (69) are inconsistent by
% 184.21/29.09  | | | | | | | | | |            sub-proof #1230.
% 184.21/29.09  | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | Case 2:
% 184.21/29.09  | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | |   (70)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~ (all_57_26
% 184.21/29.09  | | | | | | | | | |             = e0) & op(e0, e2) = all_57_26 & $i(all_57_26))
% 184.21/29.09  | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | BETA: splitting (70) gives:
% 184.21/29.09  | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | Case 1:
% 184.21/29.09  | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | |   (71)  all_57_31 = e2 & op(e0, e0) = e2
% 184.21/29.09  | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | ALPHA: (71) implies:
% 184.21/29.09  | | | | | | | | | | |   (72)  op(e0, e0) = e2
% 184.21/29.09  | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | REF_CLOSE: (22), (35), (37), (72) are inconsistent by
% 184.21/29.09  | | | | | | | | | | |            sub-proof #110.
% 184.21/29.09  | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | Case 2:
% 184.21/29.09  | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | |   (73)   ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 184.21/29.09  | | | | | | | | | | |         $i(all_57_26)
% 184.21/29.09  | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | ALPHA: (73) implies:
% 184.21/29.09  | | | | | | | | | | |   (74)   ~ (all_57_26 = e0)
% 184.21/29.09  | | | | | | | | | | |   (75)  op(e0, e2) = all_57_26
% 184.21/29.09  | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | BETA: splitting (15) gives:
% 184.21/29.09  | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | Case 1:
% 184.21/29.09  | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | |   (76)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 184.21/29.09  | | | | | | | | | | | |           e2 & op(e2, e2) = e2)
% 184.21/29.09  | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | REF_CLOSE: (22), (27), (36), (64), (65), (76) are
% 184.21/29.09  | | | | | | | | | | | |            inconsistent by sub-proof #282.
% 184.21/29.09  | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | Case 2:
% 184.21/29.09  | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | |   (77)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 184.21/29.09  | | | | | | | | | | | |           e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 184.21/29.09  | | | | | | | | | | | |           op(e1, e2) = all_57_23 & $i(all_57_23))
% 184.21/29.09  | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | BETA: splitting (77) gives:
% 184.21/29.09  | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | Case 1:
% 184.21/29.09  | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | |   (78)  all_57_30 = e2 & op(e1, e1) = e2
% 184.21/29.09  | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | ALPHA: (78) implies:
% 184.21/29.09  | | | | | | | | | | | | |   (79)  op(e1, e1) = e2
% 184.21/29.09  | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | REF_CLOSE: (17), (22), (32), (79) are inconsistent by
% 184.21/29.09  | | | | | | | | | | | | |            sub-proof #1230.
% 184.21/29.09  | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | Case 2:
% 184.21/29.09  | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | |   (80)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 184.21/29.09  | | | | | | | | | | | | |           (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 184.21/29.09  | | | | | | | | | | | | |           $i(all_57_23))
% 184.21/29.09  | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | BETA: splitting (80) gives:
% 184.21/29.09  | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | Case 1:
% 184.21/29.09  | | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | |   (81)  all_57_31 = e2 & op(e0, e0) = e2
% 184.21/29.09  | | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | | ALPHA: (81) implies:
% 184.21/29.09  | | | | | | | | | | | | | |   (82)  op(e0, e0) = e2
% 184.21/29.09  | | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | | REF_CLOSE: (22), (35), (37), (82) are inconsistent by
% 184.21/29.09  | | | | | | | | | | | | | |            sub-proof #110.
% 184.21/29.09  | | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | Case 2:
% 184.21/29.09  | | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | |   (83)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 184.21/29.09  | | | | | | | | | | | | | |         $i(all_57_23)
% 184.21/29.09  | | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | | ALPHA: (83) implies:
% 184.21/29.09  | | | | | | | | | | | | | |   (84)   ~ (all_57_23 = e1)
% 184.21/29.09  | | | | | | | | | | | | | |   (85)  op(e1, e2) = all_57_23
% 184.21/29.09  | | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 184.21/29.09  | | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | | Case 1:
% 184.21/29.09  | | | | | | | | | | | | | | | 
% 184.21/29.09  | | | | | | | | | | | | | | |   (86)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 184.21/29.09  | | | | | | | | | | | | | | |           e2 & op(e2, e2) = e2)
% 184.21/29.09  | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | REF_CLOSE: (22), (27), (36), (64), (65), (86) are
% 184.21/29.10  | | | | | | | | | | | | | | |            inconsistent by sub-proof #282.
% 184.21/29.10  | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | Case 2:
% 184.21/29.10  | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | |   (87)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 184.21/29.10  | | | | | | | | | | | | | | |           e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 184.21/29.10  | | | | | | | | | | | | | | |           op(e3, e2) = all_57_16 & $i(all_57_16))
% 184.21/29.10  | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 184.21/29.10  | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | Case 1:
% 184.21/29.10  | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | |   (88)  all_57_30 = e2 & op(e1, e1) = e2
% 184.21/29.10  | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | ALPHA: (88) implies:
% 184.21/29.10  | | | | | | | | | | | | | | | |   (89)  op(e1, e1) = e2
% 184.21/29.10  | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | REF_CLOSE: (17), (22), (32), (89) are inconsistent by
% 184.21/29.10  | | | | | | | | | | | | | | | |            sub-proof #1230.
% 184.21/29.10  | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | Case 2:
% 184.21/29.10  | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | |   (90)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 184.21/29.10  | | | | | | | | | | | | | | | |           (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 184.21/29.10  | | | | | | | | | | | | | | | |           $i(all_57_16))
% 184.21/29.10  | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | BETA: splitting (90) gives:
% 184.21/29.10  | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | Case 1:
% 184.21/29.10  | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | |   (91)  all_57_31 = e2 & op(e0, e0) = e2
% 184.21/29.10  | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | ALPHA: (91) implies:
% 184.21/29.10  | | | | | | | | | | | | | | | | |   (92)  op(e0, e0) = e2
% 184.21/29.10  | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (35), (37), (92) are inconsistent by
% 184.21/29.10  | | | | | | | | | | | | | | | | |            sub-proof #110.
% 184.21/29.10  | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | Case 2:
% 184.21/29.10  | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | ALPHA: (55) implies:
% 184.21/29.10  | | | | | | | | | | | | | | | | |   (93)  op(e1, e0) = e3
% 184.21/29.10  | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_52_11, e3, e1, e0,
% 184.21/29.10  | | | | | | | | | | | | | | | | |              simplifying with (9), (52) gives:
% 184.21/29.10  | | | | | | | | | | | | | | | | |   (94)  all_52_11 = e3
% 184.21/29.10  | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_52_7, all_57_26, e2,
% 184.21/29.10  | | | | | | | | | | | | | | | | |              e0, simplifying with (38), (75) gives:
% 184.21/29.10  | | | | | | | | | | | | | | | | |   (95)  all_57_26 = all_52_7
% 184.21/29.10  | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_52_14, e3, e0, e1,
% 184.21/29.10  | | | | | | | | | | | | | | | | |              simplifying with (7), (93) gives:
% 184.21/29.10  | | | | | | | | | | | | | | | | |   (96)  all_52_14 = e3
% 184.21/29.10  | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (22) with all_52_6, all_57_23, e2,
% 184.21/29.10  | | | | | | | | | | | | | | | | |              e1, simplifying with (34), (85) gives:
% 184.21/29.10  | | | | | | | | | | | | | | | | |   (97)  all_57_23 = all_52_6
% 184.21/29.10  | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | REDUCE: (84), (97) imply:
% 184.21/29.10  | | | | | | | | | | | | | | | | |   (98)   ~ (all_52_6 = e1)
% 184.21/29.10  | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | REDUCE: (74), (95) imply:
% 184.21/29.10  | | | | | | | | | | | | | | | | |   (99)   ~ (all_52_7 = e0)
% 184.21/29.10  | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | REDUCE: (4), (96) imply:
% 184.21/29.10  | | | | | | | | | | | | | | | | |   (100)   ~ (all_52_6 = e3)
% 184.21/29.10  | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | BETA: splitting (23) gives:
% 184.21/29.10  | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | Case 1:
% 184.21/29.10  | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | |   (101)  all_54_13 = e3
% 184.21/29.10  | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (18), (101) are inconsistent by sub-proof
% 184.21/29.10  | | | | | | | | | | | | | | | | | |            #1302.
% 184.21/29.10  | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | Case 2:
% 184.21/29.10  | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | |   (102)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 184.21/29.10  | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | BETA: splitting (39) gives:
% 184.21/29.10  | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | Case 1:
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | |   (103)  all_54_9 = e3
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (100), (103) are inconsistent by sub-proof
% 184.21/29.10  | | | | | | | | | | | | | | | | | | |            #1061.
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | Case 2:
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | |   (104)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | |   (105)  all_54_9 = e2
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (105) imply:
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | |   (106)  all_52_6 = e2
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | | SIMP: (106) implies:
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | |   (107)  all_52_6 = e2
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (107) imply:
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | |   (108)   ~ (all_52_7 = e2)
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | | SIMP: (108) implies:
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | |   (109)   ~ (all_52_7 = e2)
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (18), (99), (102), (109) are inconsistent by
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | |            sub-proof #1116.
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | |   (110)  all_54_9 = e1 | all_54_9 = e0
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (24), (98), (110) are inconsistent by
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | |            sub-proof #1320.
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | End of split
% 184.21/29.10  | | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | | End of split
% 184.21/29.10  | | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | | End of split
% 184.21/29.10  | | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | | End of split
% 184.21/29.10  | | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | | End of split
% 184.21/29.10  | | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | | End of split
% 184.21/29.10  | | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | | End of split
% 184.21/29.10  | | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | | End of split
% 184.21/29.10  | | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | | End of split
% 184.21/29.10  | | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | | End of split
% 184.21/29.10  | | | | | | | | | | 
% 184.21/29.10  | | | | | | | | | End of split
% 184.21/29.10  | | | | | | | | | 
% 184.21/29.10  | | | | | | | | End of split
% 184.21/29.10  | | | | | | | | 
% 184.21/29.10  | | | | | | | End of split
% 184.21/29.10  | | | | | | | 
% 184.21/29.10  | | | | | | End of split
% 184.21/29.10  | | | | | | 
% 184.21/29.10  | | | | | End of split
% 184.21/29.10  | | | | | 
% 184.21/29.10  | | | | Case 2:
% 184.21/29.10  | | | | | 
% 184.21/29.10  | | | | |   (111)  all_56_15 = e3 & op(e0, e0) = e3
% 184.21/29.10  | | | | | 
% 184.21/29.10  | | | | | ALPHA: (111) implies:
% 184.21/29.10  | | | | |   (112)  op(e0, e0) = e3
% 184.21/29.10  | | | | | 
% 184.21/29.10  | | | | | REF_CLOSE: (20), (22), (35), (112) are inconsistent by sub-proof #108.
% 184.21/29.10  | | | | | 
% 184.21/29.10  | | | | End of split
% 184.21/29.10  | | | | 
% 184.21/29.10  | | | End of split
% 184.21/29.10  | | | 
% 184.21/29.10  | | Case 2:
% 184.21/29.10  | | | 
% 184.21/29.10  | | |   (113)  all_56_15 = e3 & op(e0, e0) = e3
% 184.21/29.10  | | | 
% 184.21/29.10  | | | ALPHA: (113) implies:
% 184.21/29.10  | | |   (114)  op(e0, e0) = e3
% 184.21/29.10  | | | 
% 184.21/29.10  | | | REF_CLOSE: (20), (22), (35), (114) are inconsistent by sub-proof #108.
% 184.21/29.10  | | | 
% 184.21/29.10  | | End of split
% 184.21/29.10  | | 
% 184.21/29.10  | End of split
% 184.21/29.10  | 
% 184.21/29.10  End of proof
% 184.21/29.10  
% 184.21/29.10  Sub-proof #61 shows that the following formulas are inconsistent:
% 184.21/29.10  ----------------------------------------------------------------
% 184.21/29.10    (1)  all_56_13 = e3 & op(e0, e2) = e3
% 184.21/29.10    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.10    (3)  op(e0, e2) = all_52_7
% 184.21/29.10    (4)   ~ (all_52_7 = e3)
% 184.21/29.10  
% 184.21/29.10  Begin of proof
% 184.21/29.10  | 
% 184.21/29.10  | ALPHA: (1) implies:
% 184.21/29.10  |   (5)  op(e0, e2) = e3
% 184.21/29.10  | 
% 184.21/29.10  | GROUND_INST: instantiating (2) with all_52_7, e3, e2, e0, simplifying with
% 184.21/29.10  |              (3), (5) gives:
% 184.21/29.10  |   (6)  all_52_7 = e3
% 184.21/29.10  | 
% 184.21/29.10  | REDUCE: (4), (6) imply:
% 184.21/29.10  |   (7)  $false
% 184.21/29.10  | 
% 184.21/29.10  | CLOSE: (7) is inconsistent.
% 184.21/29.10  | 
% 184.21/29.10  End of proof
% 184.21/29.10  
% 184.21/29.10  Sub-proof #62 shows that the following formulas are inconsistent:
% 184.21/29.10  ----------------------------------------------------------------
% 184.21/29.10    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.21/29.10    (2)   ~ (e3 = e0)
% 184.21/29.10    (3)   ~ (all_52_6 = e0)
% 184.21/29.10    (4)   ~ (e2 = e0)
% 184.21/29.10    (5)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.21/29.10         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.21/29.10    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.10    (7)   ~ (all_52_6 = e2)
% 184.21/29.10    (8)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 184.21/29.10         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 184.21/29.10    (9)   ~ (e3 = e2)
% 184.21/29.10    (10)   ~ (all_52_4 = e2)
% 184.21/29.10    (11)  op(e3, e2) = all_52_4
% 184.21/29.10    (12)  op(e1, e2) = all_52_6
% 184.21/29.10    (13)   ~ (all_52_4 = e0)
% 184.21/29.10    (14)  op(e0, e3) = e0
% 184.21/29.10  
% 184.21/29.10  Begin of proof
% 184.21/29.10  | 
% 184.21/29.10  | BETA: splitting (1) gives:
% 184.21/29.10  | 
% 184.21/29.10  | Case 1:
% 184.21/29.10  | | 
% 184.21/29.10  | |   (15)  all_56_12 = e3 & op(e0, e3) = e3
% 184.21/29.10  | | 
% 184.21/29.10  | | ALPHA: (15) implies:
% 184.21/29.10  | |   (16)  op(e0, e3) = e3
% 184.21/29.10  | | 
% 184.21/29.10  | | REF_CLOSE: (2), (6), (14), (16) are inconsistent by sub-proof #125.
% 184.21/29.10  | | 
% 184.21/29.10  | Case 2:
% 184.21/29.10  | | 
% 184.21/29.10  | |   (17)  all_56_13 = e3 & op(e0, e2) = e3
% 184.21/29.10  | | 
% 184.21/29.10  | | ALPHA: (17) implies:
% 184.21/29.10  | |   (18)  all_56_13 = e3
% 184.21/29.10  | | 
% 184.21/29.10  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 184.21/29.10  | |            (18) are inconsistent by sub-proof #81.
% 184.21/29.10  | | 
% 184.21/29.10  | End of split
% 184.21/29.10  | 
% 184.21/29.10  End of proof
% 184.21/29.10  
% 184.21/29.10  Sub-proof #63 shows that the following formulas are inconsistent:
% 184.21/29.10  ----------------------------------------------------------------
% 184.21/29.10    (1)   ~ (e3 = e0)
% 184.21/29.10    (2)   ~ (all_52_6 = e0)
% 184.21/29.10    (3)   ~ (e2 = e0)
% 184.21/29.10    (4)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.21/29.10         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.21/29.10    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.10    (6)   ~ (all_52_6 = e2)
% 184.21/29.10    (7)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 184.21/29.10         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 184.21/29.10    (8)   ~ (e3 = e2)
% 184.21/29.10    (9)   ~ (all_52_4 = e2)
% 184.21/29.10    (10)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.21/29.10    (11)  op(e3, e2) = all_52_4
% 184.21/29.10    (12)  op(e1, e2) = all_52_6
% 184.21/29.10    (13)   ~ (all_52_4 = e0)
% 184.21/29.10    (14)   ~ (all_52_6 = e3)
% 184.21/29.10  
% 184.21/29.10  Begin of proof
% 184.21/29.10  | 
% 184.21/29.10  | BETA: splitting (10) gives:
% 184.21/29.10  | 
% 184.21/29.10  | Case 1:
% 184.21/29.10  | | 
% 184.21/29.10  | |   (15)  all_56_7 = e3 & op(e1, e2) = e3
% 184.21/29.10  | | 
% 184.21/29.10  | | REF_CLOSE: (5), (12), (14), (15) are inconsistent by sub-proof #990.
% 184.21/29.10  | | 
% 184.21/29.10  | Case 2:
% 184.21/29.10  | | 
% 184.21/29.10  | |   (16)  all_56_13 = e3 & op(e0, e2) = e3
% 184.21/29.10  | | 
% 184.21/29.10  | | ALPHA: (16) implies:
% 184.21/29.10  | |   (17)  all_56_13 = e3
% 184.21/29.10  | | 
% 184.21/29.10  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 184.21/29.10  | |            (17) are inconsistent by sub-proof #81.
% 184.21/29.10  | | 
% 184.21/29.10  | End of split
% 184.21/29.10  | 
% 184.21/29.10  End of proof
% 184.21/29.10  
% 184.21/29.10  Sub-proof #64 shows that the following formulas are inconsistent:
% 184.21/29.10  ----------------------------------------------------------------
% 184.21/29.10    (1)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.21/29.10    (2)   ~ (all_52_8 = e3)
% 184.21/29.10    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.21/29.10         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.21/29.10    (4)   ~ (e3 = e0)
% 184.21/29.10    (5)  op(e2, e1) = all_52_9
% 184.21/29.10    (6)   ~ (e2 = e0)
% 184.21/29.10    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.10    (8)  all_56_11 = e2
% 184.21/29.10    (9)  op(e3, e1) = all_52_8
% 184.21/29.10    (10)   ~ (all_52_9 = e3)
% 184.21/29.10    (11)  all_56_14 = e0
% 184.21/29.10  
% 184.21/29.10  Begin of proof
% 184.21/29.10  | 
% 184.21/29.10  | BETA: splitting (1) gives:
% 184.21/29.10  | 
% 184.21/29.10  | Case 1:
% 184.21/29.10  | | 
% 184.21/29.10  | |   (12)  all_56_8 = e0 & op(e1, e1) = e0
% 184.21/29.10  | | 
% 184.21/29.10  | | ALPHA: (12) implies:
% 184.21/29.10  | |   (13)  op(e1, e1) = e0
% 184.21/29.10  | | 
% 184.21/29.10  | | BETA: splitting (3) gives:
% 184.21/29.10  | | 
% 184.21/29.10  | | Case 1:
% 184.21/29.10  | | | 
% 184.21/29.10  | | |   (14)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 184.21/29.10  | | |           e3)
% 184.21/29.10  | | | 
% 184.21/29.10  | | | REF_CLOSE: (2), (5), (7), (9), (10), (14) are inconsistent by sub-proof
% 184.21/29.10  | | |            #1345.
% 184.21/29.10  | | | 
% 184.21/29.10  | | Case 2:
% 184.21/29.10  | | | 
% 184.21/29.10  | | |   (15)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 184.21/29.10  | | |           e3)
% 184.21/29.10  | | | 
% 184.21/29.10  | | | BETA: splitting (15) gives:
% 184.21/29.10  | | | 
% 184.21/29.10  | | | Case 1:
% 184.21/29.10  | | | | 
% 184.21/29.10  | | | |   (16)  all_56_8 = e3 & op(e1, e1) = e3
% 184.21/29.10  | | | | 
% 184.21/29.10  | | | | ALPHA: (16) implies:
% 184.21/29.10  | | | |   (17)  op(e1, e1) = e3
% 184.21/29.10  | | | | 
% 184.21/29.10  | | | | REF_CLOSE: (4), (7), (13), (17) are inconsistent by sub-proof #1252.
% 184.21/29.10  | | | | 
% 184.21/29.10  | | | Case 2:
% 184.21/29.10  | | | | 
% 184.21/29.10  | | | |   (18)  all_56_14 = e3 & op(e0, e1) = e3
% 184.21/29.10  | | | | 
% 184.21/29.10  | | | | ALPHA: (18) implies:
% 184.21/29.10  | | | |   (19)  all_56_14 = e3
% 184.21/29.10  | | | | 
% 184.21/29.10  | | | | REF_CLOSE: (4), (11), (19) are inconsistent by sub-proof #1470.
% 184.21/29.10  | | | | 
% 184.21/29.10  | | | End of split
% 184.21/29.10  | | | 
% 184.21/29.10  | | End of split
% 184.21/29.10  | | 
% 184.21/29.10  | Case 2:
% 184.21/29.10  | | 
% 184.21/29.10  | |   (20)  all_56_11 = e0 & op(e1, e0) = e0
% 184.21/29.10  | | 
% 184.21/29.10  | | ALPHA: (20) implies:
% 184.21/29.10  | |   (21)  all_56_11 = e0
% 184.21/29.10  | | 
% 184.21/29.10  | | REF_CLOSE: (6), (8), (21) are inconsistent by sub-proof #1500.
% 184.21/29.10  | | 
% 184.21/29.10  | End of split
% 184.21/29.10  | 
% 184.21/29.10  End of proof
% 184.21/29.10  
% 184.21/29.10  Sub-proof #65 shows that the following formulas are inconsistent:
% 184.21/29.10  ----------------------------------------------------------------
% 184.21/29.10    (1)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 184.21/29.10             e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.21/29.10           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.21/29.10             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.21/29.10           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 184.21/29.10           $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.21/29.10           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3
% 184.21/29.10           & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.21/29.10           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 184.21/29.10           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.21/29.10             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 184.21/29.10             e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.21/29.10           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.21/29.10         (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 184.21/29.10             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.21/29.10           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.21/29.10             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.21/29.10           all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 184.21/29.10           & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.21/29.10           $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2
% 184.21/29.10           & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.21/29.10           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.21/29.10             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.21/29.10             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 184.21/29.10           op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 184.21/29.10           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.21/29.10           $i(all_57_29))
% 184.21/29.10    (2)   ~ (e3 = e0)
% 184.21/29.10    (3)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 184.21/29.10    (4)  op(e2, e3) = all_52_1
% 184.21/29.10    (5)   ~ (all_52_4 = e1)
% 184.21/29.10    (6)   ~ (all_52_1 = e3)
% 184.21/29.10    (7)   ~ (all_52_4 = all_52_8)
% 184.21/29.10    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.10    (9)   ~ (e3 = e2)
% 184.21/29.10    (10)   ~ (all_52_4 = e2)
% 184.21/29.10    (11)  op(e3, e2) = e3
% 184.21/29.10    (12)  op(e3, e1) = all_52_8
% 184.21/29.10    (13)  op(e3, e0) = e0
% 184.21/29.10    (14)   ~ (all_52_4 = e0)
% 184.21/29.10    (15)  all_54_1 = all_52_4
% 184.21/29.10  
% 184.21/29.10  Begin of proof
% 184.21/29.10  | 
% 184.21/29.10  | BETA: splitting (1) gives:
% 184.21/29.10  | 
% 184.21/29.10  | Case 1:
% 184.21/29.10  | | 
% 184.21/29.10  | |   (16)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~
% 184.21/29.10  | |           (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~
% 184.21/29.10  | |           (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.21/29.10  | |             all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.21/29.10  | |             e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) = all_57_17 &
% 184.21/29.10  | |           op(e3, e0) = all_57_18 & op(e2, e3) = e3 & $i(all_57_0) &
% 184.21/29.10  | |           $i(all_57_2) & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 184.21/29.10  | |           $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3 &
% 184.21/29.10  | |           all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.21/29.10  | |           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 184.21/29.10  | |           all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) =
% 184.21/29.10  | |           all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 184.21/29.10  | |           op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.21/29.10  | |           $i(all_57_0) & $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 184.21/29.10  | |           $i(all_57_18) & $i(all_57_28))
% 184.21/29.10  | | 
% 184.21/29.10  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (10), (12), (14), (15), (16) are
% 184.21/29.10  | |            inconsistent by sub-proof #66.
% 184.21/29.10  | | 
% 184.21/29.10  | Case 2:
% 184.21/29.10  | | 
% 184.21/29.10  | |   (17)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~
% 184.21/29.10  | |           (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~
% 184.21/29.10  | |           (all_57_28 = e0) & op(e3, all_57_16) = all_57_1 & op(e3,
% 184.21/29.10  | |             all_57_17) = all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.21/29.10  | |             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) =
% 184.21/29.10  | |           all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3 & $i(all_57_0) &
% 184.21/29.10  | |           $i(all_57_1) & $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.21/29.10  | |           $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2 &
% 184.21/29.10  | |           all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.21/29.10  | |           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.21/29.10  | |             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.21/29.10  | |             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29
% 184.21/29.10  | |           & op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 184.21/29.10  | |           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.21/29.10  | |           $i(all_57_29))
% 184.21/29.10  | | 
% 184.21/29.10  | | BETA: splitting (17) gives:
% 184.21/29.10  | | 
% 184.21/29.10  | | Case 1:
% 184.21/29.10  | | | 
% 184.21/29.10  | | |   (18)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~
% 184.21/29.10  | | |         (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~
% 184.21/29.10  | | |         (all_57_28 = e0) & op(e3, all_57_16) = all_57_1 & op(e3,
% 184.21/29.10  | | |           all_57_17) = all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.21/29.10  | | |           e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) =
% 184.21/29.10  | | |         all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3 & $i(all_57_0) &
% 184.21/29.10  | | |         $i(all_57_1) & $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.21/29.10  | | |         $i(all_57_28)
% 184.21/29.10  | | | 
% 184.21/29.10  | | | ALPHA: (18) implies:
% 184.21/29.10  | | |   (19)  op(e3, e0) = e3
% 184.21/29.10  | | | 
% 184.21/29.10  | | | REF_CLOSE: (2), (8), (13), (19) are inconsistent by sub-proof #1189.
% 184.21/29.10  | | | 
% 184.21/29.10  | | Case 2:
% 184.21/29.10  | | | 
% 184.21/29.10  | | |   (20)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~
% 184.21/29.10  | | |         (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~
% 184.21/29.10  | | |         (all_57_29 = e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6
% 184.21/29.10  | | |         & op(e2, all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.21/29.10  | | |         op(e2, e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20
% 184.21/29.10  | | |         & op(e2, e0) = all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 184.21/29.10  | | |         $i(all_57_7) & $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 184.21/29.10  | | | 
% 184.21/29.10  | | | ALPHA: (20) implies:
% 184.21/29.10  | | |   (21)  op(e3, e2) = e2
% 184.21/29.10  | | | 
% 184.21/29.10  | | | REF_CLOSE: (8), (9), (11), (21) are inconsistent by sub-proof #166.
% 184.21/29.10  | | | 
% 184.21/29.10  | | End of split
% 184.21/29.10  | | 
% 184.21/29.10  | End of split
% 184.21/29.10  | 
% 184.21/29.10  End of proof
% 184.21/29.10  
% 184.21/29.10  Sub-proof #66 shows that the following formulas are inconsistent:
% 184.21/29.10  ----------------------------------------------------------------
% 184.21/29.10    (1)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 184.21/29.10    (2)  op(e2, e3) = all_52_1
% 184.21/29.10    (3)   ~ (all_52_4 = e1)
% 184.21/29.10    (4)   ~ (all_52_1 = e3)
% 184.21/29.10    (5)   ~ (all_52_4 = all_52_8)
% 184.21/29.10    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.10    (7)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 184.21/29.10             e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.21/29.10           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.21/29.10             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.21/29.10           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 184.21/29.10           $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.21/29.10           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3
% 184.21/29.10           & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.21/29.10           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 184.21/29.10           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.21/29.10             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 184.21/29.10             e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.21/29.10           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 184.21/29.10    (8)   ~ (all_52_4 = e2)
% 184.21/29.10    (9)  op(e3, e1) = all_52_8
% 184.21/29.10    (10)   ~ (all_52_4 = e0)
% 184.21/29.10    (11)  all_54_1 = all_52_4
% 184.21/29.10  
% 184.21/29.10  Begin of proof
% 184.21/29.10  | 
% 184.21/29.10  | BETA: splitting (7) gives:
% 184.21/29.10  | 
% 184.21/29.10  | Case 1:
% 184.21/29.10  | | 
% 184.21/29.10  | |   (12)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~
% 184.21/29.10  | |         (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~
% 184.21/29.10  | |         (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.21/29.10  | |         = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 184.21/29.10  | |         op(e3, e2) = e3 & op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 &
% 184.21/29.10  | |         op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 184.21/29.10  | |         $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 184.21/29.10  | | 
% 184.21/29.10  | | ALPHA: (12) implies:
% 184.21/29.10  | |   (13)  op(e2, e3) = e3
% 184.21/29.10  | | 
% 184.21/29.10  | | REF_CLOSE: (2), (4), (6), (13) are inconsistent by sub-proof #286.
% 184.21/29.10  | | 
% 184.21/29.10  | Case 2:
% 184.21/29.10  | | 
% 184.21/29.10  | |   (14)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 = e3 &  ~
% 184.21/29.10  | |         (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0) &  ~
% 184.21/29.10  | |         (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_18)
% 184.21/29.10  | |         = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 184.21/29.10  | |         op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3, e0) = all_57_18 &
% 184.21/29.10  | |         op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.21/29.10  | |         $i(all_57_16) & $i(all_57_18) & $i(all_57_28)
% 184.21/29.10  | | 
% 184.21/29.10  | | ALPHA: (14) implies:
% 184.21/29.10  | |   (15)  op(e3, e1) = e3
% 184.21/29.10  | | 
% 184.21/29.10  | | REF_CLOSE: (1), (3), (5), (6), (8), (9), (10), (11), (15) are inconsistent
% 184.21/29.10  | |            by sub-proof #1047.
% 184.21/29.10  | | 
% 184.21/29.10  | End of split
% 184.21/29.10  | 
% 184.21/29.10  End of proof
% 184.21/29.10  
% 184.21/29.10  Sub-proof #67 shows that the following formulas are inconsistent:
% 184.21/29.10  ----------------------------------------------------------------
% 184.21/29.10    (1)   ~ (e1 = e0)
% 184.21/29.10    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 184.21/29.10    (3)   ~ (e3 = e1)
% 184.21/29.10    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.10    (5)  op(e3, e2) = e3
% 184.21/29.10    (6)  op(e2, e2) = e0
% 184.21/29.10  
% 184.21/29.10  Begin of proof
% 184.21/29.10  | 
% 184.21/29.10  | BETA: splitting (2) gives:
% 184.21/29.10  | 
% 184.21/29.10  | Case 1:
% 184.21/29.10  | | 
% 184.21/29.10  | |   (7)  all_56_1 = e1 & op(e3, e2) = e1
% 184.21/29.10  | | 
% 184.21/29.10  | | ALPHA: (7) implies:
% 184.21/29.10  | |   (8)  op(e3, e2) = e1
% 184.21/29.10  | | 
% 184.21/29.10  | | REF_CLOSE: (3), (4), (5), (8) are inconsistent by sub-proof #1579.
% 184.21/29.10  | | 
% 184.21/29.10  | Case 2:
% 184.21/29.10  | | 
% 184.21/29.10  | |   (9)  all_56_3 = e1 & op(e2, e2) = e1
% 184.21/29.10  | | 
% 184.21/29.10  | | ALPHA: (9) implies:
% 184.21/29.10  | |   (10)  op(e2, e2) = e1
% 184.21/29.10  | | 
% 184.21/29.10  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1310.
% 184.21/29.10  | | 
% 184.21/29.10  | End of split
% 184.21/29.10  | 
% 184.21/29.10  End of proof
% 184.21/29.10  
% 184.21/29.10  Sub-proof #68 shows that the following formulas are inconsistent:
% 184.21/29.10  ----------------------------------------------------------------
% 184.21/29.10    (1)  all_56_10 = e3
% 184.21/29.10    (2)   ~ (e2 = e0)
% 184.21/29.10    (3)  all_56_9 = e0
% 184.21/29.10    (4)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.21/29.10    (5)   ~ (e3 = e2)
% 184.21/29.10  
% 184.21/29.10  Begin of proof
% 184.21/29.10  | 
% 184.21/29.10  | BETA: splitting (4) gives:
% 184.21/29.10  | 
% 184.21/29.10  | Case 1:
% 184.21/29.10  | | 
% 184.21/29.10  | |   (6)  all_56_9 = e2 & op(e3, e0) = e2
% 184.21/29.10  | | 
% 184.21/29.10  | | ALPHA: (6) implies:
% 184.21/29.10  | |   (7)  all_56_9 = e2
% 184.21/29.10  | | 
% 184.21/29.10  | | REF_CLOSE: (2), (3), (7) are inconsistent by sub-proof #1570.
% 184.21/29.10  | | 
% 184.21/29.10  | Case 2:
% 184.21/29.10  | | 
% 184.21/29.10  | |   (8)  all_56_10 = e2 & op(e2, e0) = e2
% 184.21/29.10  | | 
% 184.21/29.10  | | ALPHA: (8) implies:
% 184.21/29.10  | |   (9)  all_56_10 = e2
% 184.21/29.10  | | 
% 184.21/29.10  | | REF_CLOSE: (1), (5), (9) are inconsistent by sub-proof #958.
% 184.21/29.10  | | 
% 184.21/29.10  | End of split
% 184.21/29.10  | 
% 184.21/29.10  End of proof
% 184.21/29.10  
% 184.21/29.10  Sub-proof #69 shows that the following formulas are inconsistent:
% 184.21/29.10  ----------------------------------------------------------------
% 184.21/29.10    (1)  op(e1, e1) = e3
% 184.21/29.10    (2)   ~ (e1 = e0)
% 184.21/29.10    (3)   ~ (e3 = e0)
% 184.21/29.10    (4)  op(e0, e1) = all_52_11
% 184.21/29.10    (5)   ~ (e2 = e0)
% 184.21/29.11    (6)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 184.21/29.11         (all_56_14 = e0 & op(e0, e1) = e0)
% 184.21/29.11    (7)   ~ (e3 = e1)
% 184.21/29.11    (8)  all_56_4 = e0 & op(e3, e1) = e0
% 184.21/29.11    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.11    (10)  all_56_12 = e3
% 184.21/29.11    (11)   ~ (e3 = e2)
% 184.21/29.11    (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 184.21/29.11          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.21/29.11    (13)   ~ (e2 = e1)
% 184.21/29.11    (14)  all_56_13 = e2
% 184.21/29.11    (15)   ~ (all_52_11 = e2)
% 184.21/29.11    (16)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.21/29.11          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.21/29.11  
% 184.21/29.11  Begin of proof
% 184.21/29.11  | 
% 184.21/29.11  | ALPHA: (8) implies:
% 184.21/29.11  |   (17)  all_56_4 = e0
% 184.21/29.11  |   (18)  op(e3, e1) = e0
% 184.21/29.11  | 
% 184.21/29.11  | BETA: splitting (12) gives:
% 184.21/29.11  | 
% 184.21/29.11  | Case 1:
% 184.21/29.11  | | 
% 184.21/29.11  | |   (19)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 184.21/29.11  | |           e2)
% 184.21/29.11  | | 
% 184.21/29.11  | | BETA: splitting (19) gives:
% 184.21/29.11  | | 
% 184.21/29.11  | | Case 1:
% 184.21/29.11  | | | 
% 184.21/29.11  | | |   (20)  all_56_4 = e2 & op(e3, e1) = e2
% 184.21/29.11  | | | 
% 184.21/29.11  | | | REF_CLOSE: (5), (17), (20) are inconsistent by sub-proof #870.
% 184.21/29.11  | | | 
% 184.21/29.11  | | Case 2:
% 184.21/29.11  | | | 
% 184.21/29.11  | | |   (21)  all_56_5 = e2 & op(e2, e1) = e2
% 184.21/29.11  | | | 
% 184.21/29.11  | | | ALPHA: (21) implies:
% 184.21/29.11  | | |   (22)  op(e2, e1) = e2
% 184.21/29.11  | | | 
% 184.21/29.11  | | | BETA: splitting (16) gives:
% 184.21/29.11  | | | 
% 184.21/29.11  | | | Case 1:
% 184.21/29.11  | | | | 
% 184.21/29.11  | | | |   (23)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1)
% 184.21/29.11  | | | |           = e1)
% 184.21/29.11  | | | | 
% 184.21/29.11  | | | | REF_CLOSE: (2), (9), (13), (18), (22), (23) are inconsistent by
% 184.21/29.11  | | | |            sub-proof #103.
% 184.21/29.11  | | | | 
% 184.21/29.11  | | | Case 2:
% 184.21/29.11  | | | | 
% 184.21/29.11  | | | |   (24)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1)
% 184.21/29.11  | | | |           = e1)
% 184.21/29.11  | | | | 
% 184.21/29.11  | | | | BETA: splitting (24) gives:
% 184.21/29.11  | | | | 
% 184.21/29.11  | | | | Case 1:
% 184.21/29.11  | | | | | 
% 184.21/29.11  | | | | |   (25)  all_56_8 = e1 & op(e1, e1) = e1
% 184.21/29.11  | | | | | 
% 184.21/29.11  | | | | | ALPHA: (25) implies:
% 184.21/29.11  | | | | |   (26)  op(e1, e1) = e1
% 184.21/29.11  | | | | | 
% 184.21/29.11  | | | | | REF_CLOSE: (1), (7), (9), (26) are inconsistent by sub-proof #1541.
% 184.21/29.11  | | | | | 
% 184.21/29.11  | | | | Case 2:
% 184.21/29.11  | | | | | 
% 184.21/29.11  | | | | |   (27)  all_56_14 = e1 & op(e0, e1) = e1
% 184.21/29.11  | | | | | 
% 184.21/29.11  | | | | | ALPHA: (27) implies:
% 184.21/29.11  | | | | |   (28)  op(e0, e1) = e1
% 184.21/29.11  | | | | | 
% 184.21/29.11  | | | | | REF_CLOSE: (2), (3), (5), (6), (9), (10), (14), (28) are inconsistent
% 184.21/29.11  | | | | |            by sub-proof #712.
% 184.21/29.11  | | | | | 
% 184.21/29.11  | | | | End of split
% 184.21/29.11  | | | | 
% 184.21/29.11  | | | End of split
% 184.21/29.11  | | | 
% 184.21/29.11  | | End of split
% 184.21/29.11  | | 
% 184.21/29.11  | Case 2:
% 184.21/29.11  | | 
% 184.21/29.11  | |   (29)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 184.21/29.11  | |           e2)
% 184.21/29.11  | | 
% 184.21/29.11  | | REF_CLOSE: (1), (4), (9), (11), (15), (29) are inconsistent by sub-proof
% 184.21/29.11  | |            #144.
% 184.21/29.11  | | 
% 184.21/29.11  | End of split
% 184.21/29.11  | 
% 184.21/29.11  End of proof
% 184.21/29.11  
% 184.21/29.11  Sub-proof #70 shows that the following formulas are inconsistent:
% 184.21/29.11  ----------------------------------------------------------------
% 184.21/29.11    (1)   ~ (all_4_2 = e0)
% 184.21/29.11    (2)   ~ (e3 = e0)
% 184.21/29.11    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 184.21/29.11    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.11    (5)  op(e3, e2) = e3
% 184.21/29.11    (6)  op(e3, e3) = all_4_2
% 184.21/29.11  
% 184.21/29.11  Begin of proof
% 184.21/29.11  | 
% 184.21/29.11  | BETA: splitting (3) gives:
% 184.21/29.11  | 
% 184.21/29.11  | Case 1:
% 184.21/29.11  | | 
% 184.21/29.11  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 184.21/29.11  | | 
% 184.21/29.11  | | ALPHA: (7) implies:
% 184.21/29.11  | |   (8)  op(e3, e3) = e0
% 184.21/29.11  | | 
% 184.21/29.11  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1624.
% 184.21/29.11  | | 
% 184.21/29.11  | Case 2:
% 184.21/29.11  | | 
% 184.21/29.11  | |   (9)  all_56_1 = e0 & op(e3, e2) = e0
% 184.21/29.11  | | 
% 184.21/29.11  | | ALPHA: (9) implies:
% 184.21/29.11  | |   (10)  op(e3, e2) = e0
% 184.21/29.11  | | 
% 184.21/29.11  | | REF_CLOSE: (2), (4), (5), (10) are inconsistent by sub-proof #218.
% 184.21/29.11  | | 
% 184.21/29.11  | End of split
% 184.21/29.11  | 
% 184.21/29.11  End of proof
% 184.21/29.11  
% 184.21/29.11  Sub-proof #71 shows that the following formulas are inconsistent:
% 184.21/29.11  ----------------------------------------------------------------
% 184.21/29.11    (1)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 184.21/29.11             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.21/29.11           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.21/29.11             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.21/29.11           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 184.21/29.11           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 184.21/29.11           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 184.21/29.11           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 184.21/29.11           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 184.21/29.11           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.21/29.11             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 184.21/29.11           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.21/29.11           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 184.21/29.11         (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 = e1 &  ~ (all_57_9 =
% 184.21/29.11             e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3)
% 184.21/29.11           & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1, all_57_24) =
% 184.21/29.11           all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = e1 & op(e1,
% 184.21/29.11             e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 &
% 184.21/29.11           $i(all_57_9) & $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.21/29.11           $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30 & all_57_20 = e1
% 184.21/29.11           & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.21/29.11           (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1 & op(e1,
% 184.21/29.11             all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 & op(e1,
% 184.21/29.11             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) = e1 &
% 184.21/29.11           op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 184.21/29.11           $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.21/29.11           $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 184.21/29.11               = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 184.21/29.11               &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 184.21/29.11               op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.21/29.11               op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2)
% 184.21/29.11               = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.21/29.11               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.21/29.11               $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.21/29.11               (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.21/29.11               op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.21/29.11               op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.21/29.11               op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 184.21/29.11               all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.21/29.11               $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.21/29.11               (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.21/29.11                   e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 184.21/29.11                 (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 184.21/29.11    (2)  op(e0, e2) = e2
% 184.21/29.11    (3)  op(e1, e0) = all_52_14
% 184.21/29.11    (4)  op(e2, e1) = e1
% 184.21/29.11    (5)  op(e2, e2) = all_57_29
% 184.21/29.11    (6)   ~ (all_52_14 = e1)
% 184.21/29.11    (7)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2) |
% 184.21/29.11         (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) = e2) |
% 184.21/29.11         ( ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 & $i(all_57_23))
% 184.21/29.11    (8)   ~ (all_57_29 = e2)
% 184.21/29.11    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.11    (10)  op(e0, e0) = e3
% 184.21/29.11    (11)   ~ (e3 = e2)
% 184.21/29.11    (12)  op(e3, e3) = e1
% 184.21/29.11    (13)  op(e3, e1) = all_52_8
% 184.21/29.11    (14)   ~ (e2 = e1)
% 184.21/29.11    (15)  op(e2, e2) = e0
% 184.21/29.11    (16)   ~ (all_52_8 = e1)
% 184.21/29.11  
% 184.21/29.11  Begin of proof
% 184.21/29.11  | 
% 184.21/29.11  | BETA: splitting (1) gives:
% 184.21/29.11  | 
% 184.21/29.11  | Case 1:
% 184.21/29.11  | | 
% 184.21/29.11  | |   (17)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~
% 184.21/29.11  | |           (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 184.21/29.11  | |           (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2,
% 184.21/29.11  | |             all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.21/29.11  | |             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = e2 &
% 184.21/29.11  | |           op(e2, e0) = all_57_21 & op(e1, e2) = e2 & $i(all_57_4) &
% 184.21/29.11  | |           $i(all_57_5) & $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.21/29.11  | |           $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2 &
% 184.21/29.11  | |           all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 184.21/29.11  | |           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.21/29.11  | |           all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 184.21/29.11  | |           all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 184.21/29.11  | |           op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.21/29.11  | |           $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_19) &
% 184.21/29.11  | |           $i(all_57_20) & $i(all_57_29))
% 184.21/29.11  | | 
% 184.21/29.11  | | REF_CLOSE: (4), (9), (14), (15), (17) are inconsistent by sub-proof #72.
% 184.21/29.11  | | 
% 184.21/29.11  | Case 2:
% 184.21/29.11  | | 
% 184.21/29.11  | |   (18)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 = e1 &  ~
% 184.21/29.11  | |           (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 184.21/29.11  | |           (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9
% 184.21/29.11  | |           & op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 184.21/29.11  | |           op(e1, e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.21/29.11  | |           & op(e1, e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 184.21/29.11  | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) |
% 184.21/29.11  | |         (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.21/29.11  | |           (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 184.21/29.11  | |           (all_57_30 = e2) & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8
% 184.21/29.11  | |           & op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 184.21/29.11  | |           op(e1, e3) = all_57_22 & op(e1, e2) = e1 & op(e1, e1) = all_57_30
% 184.21/29.11  | |           & op(e1, e0) = all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 184.21/29.11  | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.21/29.11  | |         (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 184.21/29.11  | |               all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.21/29.11  | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 184.21/29.11  | |               op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.21/29.11  | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 184.21/29.11  | |               op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.21/29.11  | |               e1 & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 184.21/29.11  | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~
% 184.21/29.11  | |               (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &
% 184.21/29.11  | |                ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0,
% 184.21/29.11  | |                 all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 184.21/29.11  | |               op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 &
% 184.21/29.11  | |               op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31 &
% 184.21/29.11  | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14) & $i(all_57_15)
% 184.21/29.11  | |               & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.21/29.11  | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 184.21/29.11  | |                 (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 184.21/29.11  | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 184.21/29.11  | | 
% 184.21/29.11  | | BETA: splitting (18) gives:
% 184.21/29.11  | | 
% 184.21/29.11  | | Case 1:
% 184.21/29.11  | | | 
% 184.21/29.11  | | |   (19)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 = e1 &  ~
% 184.21/29.11  | | |         (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 184.21/29.11  | | |         (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9
% 184.21/29.11  | | |         & op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 184.21/29.11  | | |         op(e1, e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.21/29.11  | | |         & op(e1, e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 184.21/29.11  | | |         $i(all_57_11) & $i(all_57_23) & $i(all_57_24) & $i(all_57_30)
% 184.21/29.11  | | | 
% 184.21/29.11  | | | ALPHA: (19) implies:
% 184.21/29.11  | | |   (20)  op(e3, e1) = e1
% 184.21/29.11  | | | 
% 184.21/29.11  | | | REF_CLOSE: (9), (13), (16), (20) are inconsistent by sub-proof #1611.
% 184.21/29.11  | | | 
% 184.21/29.11  | | Case 2:
% 184.21/29.11  | | | 
% 184.21/29.11  | | |   (21)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.21/29.11  | | |           (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 184.21/29.11  | | |           (all_57_30 = e2) & op(e2, e1) = e1 & op(e1, all_57_22) =
% 184.21/29.11  | | |           all_57_8 & op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) =
% 184.21/29.11  | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) = e1 & op(e1,
% 184.21/29.11  | | |             e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 184.21/29.11  | | |           $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.21/29.11  | | |           $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.21/29.11  | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 184.21/29.11  | | |               (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &
% 184.21/29.11  | | |                ~ (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1,
% 184.21/29.11  | | |                 all_57_23) = all_57_9 & op(e1, all_57_30) = all_57_10 &
% 184.21/29.11  | | |               op(e1, e3) = all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 184.21/29.11  | | |               = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) & $i(all_57_9)
% 184.21/29.11  | | |               & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 184.21/29.11  | | |               $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2)
% 184.21/29.11  | | |               &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 184.21/29.11  | | |                 all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.21/29.11  | | |               op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 184.21/29.11  | | |               all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26
% 184.21/29.11  | | |               & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.21/29.11  | | |               $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 184.21/29.11  | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0 | (all_57_18
% 184.21/29.11  | | |                   = e0 & all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 =
% 184.21/29.11  | | |                   e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0
% 184.21/29.11  | | |                   & all_57_27 = e0 & op(e1, e0) = e0)))))
% 184.21/29.11  | | | 
% 184.21/29.11  | | | BETA: splitting (21) gives:
% 184.21/29.11  | | | 
% 184.21/29.11  | | | Case 1:
% 184.21/29.11  | | | | 
% 184.21/29.11  | | | |   (22)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.21/29.11  | | | |         (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 184.21/29.11  | | | |         (all_57_30 = e2) & op(e2, e1) = e1 & op(e1, all_57_22) =
% 184.21/29.11  | | | |         all_57_8 & op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) =
% 184.21/29.11  | | | |         all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) = e1 & op(e1,
% 184.21/29.11  | | | |           e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 184.21/29.11  | | | |         $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.21/29.11  | | | |         $i(all_57_30)
% 184.21/29.11  | | | | 
% 184.21/29.11  | | | | ALPHA: (22) implies:
% 184.21/29.11  | | | |   (23)  all_57_23 = e1
% 184.21/29.11  | | | |   (24)   ~ (all_57_30 = e2)
% 184.21/29.11  | | | |   (25)  op(e1, e1) = all_57_30
% 184.21/29.11  | | | | 
% 184.21/29.11  | | | | BETA: splitting (7) gives:
% 184.21/29.11  | | | | 
% 184.21/29.11  | | | | Case 1:
% 184.21/29.11  | | | | | 
% 184.21/29.11  | | | | |   (26)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2,
% 184.21/29.11  | | | | |             e2) = e2)
% 184.21/29.11  | | | | | 
% 184.21/29.11  | | | | | REF_CLOSE: (5), (8), (9), (12), (14), (26) are inconsistent by
% 184.21/29.11  | | | | |            sub-proof #779.
% 184.21/29.11  | | | | | 
% 184.21/29.11  | | | | Case 2:
% 184.21/29.11  | | | | | 
% 184.21/29.11  | | | | |   (27)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0,
% 184.21/29.11  | | | | |             e0) = e2) | ( ~ (all_57_23 = e1) & op(e1, e2) = all_57_23
% 184.21/29.11  | | | | |           & $i(all_57_23))
% 184.21/29.11  | | | | | 
% 184.21/29.11  | | | | | BETA: splitting (27) gives:
% 184.21/29.11  | | | | | 
% 184.21/29.11  | | | | | Case 1:
% 184.21/29.11  | | | | | | 
% 184.21/29.11  | | | | | |   (28)  all_57_30 = e2 & op(e1, e1) = e2
% 184.21/29.11  | | | | | | 
% 184.21/29.11  | | | | | | ALPHA: (28) implies:
% 184.21/29.11  | | | | | |   (29)  op(e1, e1) = e2
% 184.21/29.11  | | | | | | 
% 184.21/29.11  | | | | | | REF_CLOSE: (9), (24), (25), (29) are inconsistent by sub-proof #661.
% 184.21/29.11  | | | | | | 
% 184.21/29.11  | | | | | Case 2:
% 184.21/29.11  | | | | | | 
% 184.21/29.11  | | | | | |   (30)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 184.21/29.11  | | | | | |           op(e1, e2) = all_57_23 & $i(all_57_23))
% 184.21/29.11  | | | | | | 
% 184.21/29.11  | | | | | | BETA: splitting (30) gives:
% 184.21/29.11  | | | | | | 
% 184.21/29.11  | | | | | | Case 1:
% 184.21/29.11  | | | | | | | 
% 184.21/29.11  | | | | | | |   (31)  all_57_31 = e2 & op(e0, e0) = e2
% 184.21/29.11  | | | | | | | 
% 184.21/29.11  | | | | | | | ALPHA: (31) implies:
% 184.21/29.11  | | | | | | |   (32)  op(e0, e0) = e2
% 184.21/29.11  | | | | | | | 
% 184.21/29.11  | | | | | | | REF_CLOSE: (9), (10), (11), (32) are inconsistent by sub-proof
% 184.21/29.11  | | | | | | |            #221.
% 184.21/29.11  | | | | | | | 
% 184.21/29.11  | | | | | | Case 2:
% 184.21/29.11  | | | | | | | 
% 184.21/29.11  | | | | | | |   (33)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 184.21/29.11  | | | | | | |         $i(all_57_23)
% 184.21/29.11  | | | | | | | 
% 184.21/29.11  | | | | | | | ALPHA: (33) implies:
% 184.21/29.11  | | | | | | |   (34)   ~ (all_57_23 = e1)
% 184.21/29.11  | | | | | | | 
% 184.21/29.11  | | | | | | | REDUCE: (23), (34) imply:
% 184.21/29.11  | | | | | | |   (35)  $false
% 184.21/29.11  | | | | | | | 
% 184.21/29.11  | | | | | | | CLOSE: (35) is inconsistent.
% 184.21/29.11  | | | | | | | 
% 184.21/29.11  | | | | | | End of split
% 184.21/29.11  | | | | | | 
% 184.21/29.11  | | | | | End of split
% 184.21/29.11  | | | | | 
% 184.21/29.11  | | | | End of split
% 184.21/29.11  | | | | 
% 184.21/29.11  | | | Case 2:
% 184.21/29.11  | | | | 
% 184.21/29.11  | | | |   (36)  op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30
% 184.21/29.11  | | | |             & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.21/29.11  | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0)
% 184.21/29.11  | | | |             & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) =
% 184.21/29.11  | | | |             all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.21/29.11  | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.21/29.11  | | | |             & op(e1, e0) = e1 & $i(all_57_8) & $i(all_57_9) &
% 184.21/29.11  | | | |             $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 184.21/29.11  | | | |             $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2)
% 184.21/29.11  | | | |             &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 184.21/29.11  | | | |               all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.21/29.11  | | | |             op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 184.21/29.11  | | | |             all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26
% 184.21/29.11  | | | |             & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.21/29.11  | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 184.21/29.11  | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0 | (all_57_18
% 184.21/29.11  | | | |                 = e0 & all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 =
% 184.21/29.11  | | | |                 e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0
% 184.21/29.11  | | | |                 & all_57_27 = e0 & op(e1, e0) = e0))))
% 184.21/29.11  | | | | 
% 184.21/29.11  | | | | ALPHA: (36) implies:
% 184.21/29.11  | | | |   (37)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 184.21/29.11  | | | |           (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 184.21/29.11  | | | |           ~ (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1,
% 184.21/29.11  | | | |             all_57_23) = all_57_9 & op(e1, all_57_30) = all_57_10 &
% 184.21/29.11  | | | |           op(e1, e3) = all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1) =
% 184.21/29.11  | | | |           all_57_30 & op(e1, e0) = e1 & $i(all_57_8) & $i(all_57_9) &
% 184.21/29.11  | | | |           $i(all_57_10) & $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 184.21/29.11  | | | |         | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 184.21/29.11  | | | |             e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 &
% 184.21/29.11  | | | |           op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14
% 184.21/29.11  | | | |           & op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 &
% 184.21/29.11  | | | |           op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31 &
% 184.21/29.11  | | | |           $i(all_57_12) & $i(all_57_13) & $i(all_57_14) & $i(all_57_15)
% 184.21/29.11  | | | |           & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.21/29.11  | | | |             e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 184.21/29.11  | | | |             (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 184.21/29.11  | | | |             (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 184.21/29.11  | | | | 
% 184.21/29.11  | | | | REF_CLOSE: (2), (3), (6), (9), (37) are inconsistent by sub-proof #77.
% 184.21/29.11  | | | | 
% 184.21/29.11  | | | End of split
% 184.21/29.11  | | | 
% 184.21/29.11  | | End of split
% 184.21/29.11  | | 
% 184.21/29.11  | End of split
% 184.21/29.11  | 
% 184.21/29.11  End of proof
% 184.21/29.11  
% 184.21/29.11  Sub-proof #72 shows that the following formulas are inconsistent:
% 184.21/29.11  ----------------------------------------------------------------
% 184.21/29.11    (1)  op(e2, e1) = e1
% 184.21/29.11    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.11    (3)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 184.21/29.11             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.21/29.11           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.21/29.11             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.21/29.11           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 184.21/29.11           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 184.21/29.11           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 184.21/29.11           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 184.21/29.11           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 184.21/29.11           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.21/29.11             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 184.21/29.11           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.21/29.11           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 184.21/29.11    (4)   ~ (e2 = e1)
% 184.21/29.11    (5)  op(e2, e2) = e0
% 184.21/29.11  
% 184.21/29.11  Begin of proof
% 184.21/29.11  | 
% 184.21/29.11  | BETA: splitting (3) gives:
% 184.21/29.11  | 
% 184.21/29.11  | Case 1:
% 184.21/29.11  | | 
% 184.21/29.11  | |   (6)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4
% 184.21/29.11  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 184.21/29.11  | |          e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 &
% 184.21/29.11  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.21/29.11  | |        all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 184.21/29.11  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 184.21/29.11  | |        $i(all_57_21) & $i(all_57_29)
% 184.21/29.11  | | 
% 184.21/29.11  | | ALPHA: (6) implies:
% 184.21/29.11  | |   (7)  op(e2, e1) = e2
% 184.21/29.11  | | 
% 184.21/29.11  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #1148.
% 184.21/29.11  | | 
% 184.21/29.11  | Case 2:
% 184.21/29.11  | | 
% 184.21/29.11  | |   (8)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4
% 184.21/29.11  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 =
% 184.21/29.11  | |          e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20) = all_57_6 &
% 184.21/29.11  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.21/29.11  | |        all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) =
% 184.21/29.11  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_19) &
% 184.21/29.11  | |        $i(all_57_20) & $i(all_57_29)
% 184.21/29.11  | | 
% 184.21/29.11  | | ALPHA: (8) implies:
% 184.21/29.11  | |   (9)   ~ (all_57_29 = e0)
% 184.21/29.11  | |   (10)  op(e2, e2) = all_57_29
% 184.21/29.11  | | 
% 184.21/29.11  | | REF_CLOSE: (2), (5), (9), (10) are inconsistent by sub-proof #1334.
% 184.21/29.11  | | 
% 184.21/29.11  | End of split
% 184.21/29.11  | 
% 184.21/29.11  End of proof
% 184.21/29.11  
% 184.21/29.11  Sub-proof #73 shows that the following formulas are inconsistent:
% 184.21/29.11  ----------------------------------------------------------------
% 184.21/29.11    (1)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 184.21/29.11    (2)   ~ (all_57_16 = e3)
% 184.21/29.11    (3)   ~ (all_52_4 = e1)
% 184.21/29.11    (4)   ~ (all_52_4 = all_52_8)
% 184.21/29.11    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.11    (6)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 184.21/29.11             e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.21/29.11           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.21/29.11             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.21/29.11           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 184.21/29.11           $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.21/29.11           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3
% 184.21/29.11           & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.21/29.11           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 184.21/29.11           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.21/29.11             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 184.21/29.11             e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.21/29.11           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 184.21/29.11    (7)   ~ (all_52_4 = e2)
% 184.21/29.11    (8)  op(e3, e1) = all_52_8
% 184.21/29.11    (9)   ~ (all_52_4 = e0)
% 184.21/29.11    (10)  all_54_1 = all_52_4
% 184.21/29.11  
% 184.21/29.11  Begin of proof
% 184.21/29.11  | 
% 184.21/29.11  | BETA: splitting (6) gives:
% 184.21/29.11  | 
% 184.21/29.11  | Case 1:
% 184.21/29.11  | | 
% 184.21/29.11  | |   (11)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~
% 184.21/29.11  | |         (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~
% 184.21/29.11  | |         (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.21/29.11  | |         = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 184.21/29.11  | |         op(e3, e2) = e3 & op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 &
% 184.21/29.11  | |         op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 184.21/29.11  | |         $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 184.21/29.11  | | 
% 184.21/29.11  | | ALPHA: (11) implies:
% 184.21/29.11  | |   (12)  all_57_16 = e3
% 184.21/29.11  | | 
% 184.21/29.11  | | REDUCE: (2), (12) imply:
% 184.21/29.11  | |   (13)  $false
% 184.21/29.11  | | 
% 184.21/29.11  | | CLOSE: (13) is inconsistent.
% 184.21/29.11  | | 
% 184.21/29.11  | Case 2:
% 184.21/29.11  | | 
% 184.21/29.11  | |   (14)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 = e3 &  ~
% 184.21/29.11  | |         (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0) &  ~
% 184.21/29.11  | |         (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_18)
% 184.21/29.11  | |         = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 184.21/29.11  | |         op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3, e0) = all_57_18 &
% 184.21/29.11  | |         op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.21/29.11  | |         $i(all_57_16) & $i(all_57_18) & $i(all_57_28)
% 184.21/29.11  | | 
% 184.21/29.11  | | ALPHA: (14) implies:
% 184.21/29.11  | |   (15)  op(e3, e1) = e3
% 184.21/29.11  | | 
% 184.21/29.11  | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (10), (15) are inconsistent by
% 184.21/29.11  | |            sub-proof #1047.
% 184.21/29.11  | | 
% 184.21/29.11  | End of split
% 184.21/29.11  | 
% 184.21/29.11  End of proof
% 184.21/29.11  
% 184.21/29.11  Sub-proof #74 shows that the following formulas are inconsistent:
% 184.21/29.11  ----------------------------------------------------------------
% 184.21/29.12    (1)  all_57_31 = e1 & op(e0, e0) = e1
% 184.21/29.12    (2)  all_57_31 = e3
% 184.21/29.12    (3)   ~ (e3 = e1)
% 184.21/29.12  
% 184.21/29.12  Begin of proof
% 184.21/29.12  | 
% 184.21/29.12  | ALPHA: (1) implies:
% 184.21/29.12  |   (4)  all_57_31 = e1
% 184.21/29.12  | 
% 184.21/29.12  | COMBINE_EQS: (2), (4) imply:
% 184.21/29.12  |   (5)  e3 = e1
% 184.21/29.12  | 
% 184.21/29.12  | REDUCE: (3), (5) imply:
% 184.21/29.12  |   (6)  $false
% 184.21/29.12  | 
% 184.21/29.12  | CLOSE: (6) is inconsistent.
% 184.21/29.12  | 
% 184.21/29.12  End of proof
% 184.21/29.12  
% 184.21/29.12  Sub-proof #75 shows that the following formulas are inconsistent:
% 184.21/29.12  ----------------------------------------------------------------
% 184.21/29.12    (1)   ~ (e3 = e1)
% 184.21/29.12    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.12    (3)  op(e0, e0) = e3
% 184.21/29.12    (4)  op(e0, e0) = e1
% 184.21/29.12    (5)  op(e0, e0) = all_44_0
% 184.21/29.12  
% 184.21/29.12  Begin of proof
% 184.21/29.12  | 
% 184.21/29.12  | GROUND_INST: instantiating (2) with e1, all_44_0, e0, e0, simplifying with
% 184.21/29.12  |              (4), (5) gives:
% 184.21/29.12  |   (6)  all_44_0 = e1
% 184.21/29.12  | 
% 184.21/29.12  | GROUND_INST: instantiating (2) with e3, all_44_0, e0, e0, simplifying with
% 184.21/29.12  |              (3), (5) gives:
% 184.21/29.12  |   (7)  all_44_0 = e3
% 184.21/29.12  | 
% 184.21/29.12  | COMBINE_EQS: (6), (7) imply:
% 184.21/29.12  |   (8)  e3 = e1
% 184.21/29.12  | 
% 184.21/29.12  | REDUCE: (1), (8) imply:
% 184.21/29.12  |   (9)  $false
% 184.21/29.12  | 
% 184.21/29.12  | CLOSE: (9) is inconsistent.
% 184.21/29.12  | 
% 184.21/29.12  End of proof
% 184.21/29.12  
% 184.21/29.12  Sub-proof #76 shows that the following formulas are inconsistent:
% 184.21/29.12  ----------------------------------------------------------------
% 184.21/29.12    (1)   ~ (e3 = e0)
% 184.21/29.12    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.12    (3)   ~ (all_52_4 = e2)
% 184.21/29.12    (4)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 184.21/29.12             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.21/29.12           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.21/29.12             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.21/29.12           all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 184.21/29.12           & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.21/29.12           $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2
% 184.21/29.12           & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.21/29.12           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.21/29.12             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.21/29.12             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 184.21/29.12           op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 184.21/29.12           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.21/29.12           $i(all_57_29))
% 184.21/29.12    (5)  op(e3, e2) = all_52_4
% 184.21/29.12    (6)  op(e0, e3) = e0
% 184.21/29.12  
% 184.21/29.12  Begin of proof
% 184.21/29.12  | 
% 184.21/29.12  | BETA: splitting (4) gives:
% 184.21/29.12  | 
% 184.21/29.12  | Case 1:
% 184.21/29.12  | | 
% 184.21/29.12  | |   (7)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0
% 184.21/29.12  | |          = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 =
% 184.21/29.12  | |          e0) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 &
% 184.21/29.12  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.21/29.12  | |        all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) =
% 184.21/29.12  | |        e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.21/29.12  | |        $i(all_57_17) & $i(all_57_28)
% 184.21/29.12  | | 
% 184.21/29.12  | | ALPHA: (7) implies:
% 184.21/29.12  | |   (8)  op(e0, e3) = e3
% 184.21/29.12  | | 
% 184.21/29.12  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #125.
% 184.21/29.12  | | 
% 184.21/29.12  | Case 2:
% 184.21/29.12  | | 
% 184.21/29.12  | |   (9)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5
% 184.21/29.12  | |          = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 184.21/29.12  | |          e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.21/29.12  | |          all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) =
% 184.21/29.12  | |        e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 184.21/29.12  | |        all_57_21 & $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 184.21/29.12  | |        $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 184.21/29.12  | | 
% 184.21/29.12  | | ALPHA: (9) implies:
% 184.21/29.12  | |   (10)  op(e3, e2) = e2
% 184.21/29.12  | | 
% 184.21/29.12  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1382.
% 184.21/29.12  | | 
% 184.21/29.12  | End of split
% 184.21/29.12  | 
% 184.21/29.12  End of proof
% 184.21/29.12  
% 184.21/29.12  Sub-proof #77 shows that the following formulas are inconsistent:
% 184.21/29.12  ----------------------------------------------------------------
% 184.21/29.12    (1)  op(e0, e2) = e2
% 184.21/29.12    (2)  op(e1, e0) = all_52_14
% 184.21/29.12    (3)   ~ (all_52_14 = e1)
% 184.21/29.12    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.12    (5)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 =
% 184.21/29.12             e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0)
% 184.21/29.12           & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.21/29.12             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.21/29.12           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 184.21/29.12           $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 184.21/29.12           $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 184.21/29.12           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 184.21/29.12           & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 184.21/29.12           op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.21/29.12           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.21/29.12           $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 184.21/29.12           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.21/29.12               op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 184.21/29.12               e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 184.21/29.12  
% 184.21/29.12  Begin of proof
% 184.21/29.12  | 
% 184.21/29.12  | BETA: splitting (5) gives:
% 184.21/29.12  | 
% 184.21/29.12  | Case 1:
% 184.21/29.12  | | 
% 184.21/29.12  | |   (6)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 184.21/29.12  | |        (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.21/29.12  | |        (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) =
% 184.21/29.12  | |        all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 184.21/29.12  | |        op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.21/29.12  | |        $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.21/29.12  | |        $i(all_57_23) & $i(all_57_30)
% 184.21/29.12  | | 
% 184.21/29.12  | | ALPHA: (6) implies:
% 184.21/29.12  | |   (7)  op(e1, e0) = e1
% 184.21/29.12  | | 
% 184.21/29.12  | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #1609.
% 184.21/29.12  | | 
% 184.21/29.12  | Case 2:
% 184.21/29.12  | | 
% 184.21/29.12  | |   (8)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.21/29.12  | |        (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 184.21/29.12  | |        = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 184.21/29.12  | |        all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.21/29.12  | |          e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.21/29.12  | |        $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.21/29.12  | |        (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0)
% 184.21/29.12  | |          | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24
% 184.21/29.12  | |            = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 184.21/29.12  | | 
% 184.21/29.12  | | ALPHA: (8) implies:
% 184.21/29.12  | |   (9)  op(e0, e2) = all_57_26
% 184.21/29.12  | | 
% 184.21/29.12  | | GROUND_INST: instantiating (4) with e2, all_57_26, e2, e0, simplifying with
% 184.21/29.12  | |              (1), (9) gives:
% 184.21/29.12  | |   (10)  all_57_26 = e2
% 184.21/29.12  | | 
% 184.21/29.12  | | REF_CLOSE: (2), (3), (4), (5), (10) are inconsistent by sub-proof #1294.
% 184.21/29.12  | | 
% 184.21/29.12  | End of split
% 184.21/29.12  | 
% 184.21/29.12  End of proof
% 184.21/29.12  
% 184.21/29.12  Sub-proof #78 shows that the following formulas are inconsistent:
% 184.21/29.12  ----------------------------------------------------------------
% 184.21/29.12    (1)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.21/29.12         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.21/29.12    (2)   ~ (e3 = e0)
% 184.21/29.12    (3)   ~ (e3 = e1)
% 184.21/29.12    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.12    (5)   ~ (e3 = e2)
% 184.21/29.12    (6)  all_56_7 = e1
% 184.21/29.12    (7)  all_56_1 = e1
% 184.21/29.12    (8)  all_56_13 = e2
% 184.21/29.12    (9)  op(e2, e2) = e0
% 184.21/29.12  
% 184.21/29.12  Begin of proof
% 184.21/29.12  | 
% 184.21/29.12  | BETA: splitting (1) gives:
% 184.21/29.12  | 
% 184.21/29.12  | Case 1:
% 184.21/29.12  | | 
% 184.21/29.12  | |   (10)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 184.21/29.12  | |           e3)
% 184.21/29.12  | | 
% 184.21/29.12  | | BETA: splitting (10) gives:
% 184.21/29.12  | | 
% 184.21/29.12  | | Case 1:
% 184.21/29.12  | | | 
% 184.21/29.12  | | |   (11)  all_56_1 = e3 & op(e3, e2) = e3
% 184.21/29.12  | | | 
% 184.21/29.12  | | | ALPHA: (11) implies:
% 184.21/29.12  | | |   (12)  all_56_1 = e3
% 184.21/29.12  | | | 
% 184.21/29.12  | | | REF_CLOSE: (3), (7), (12) are inconsistent by sub-proof #1403.
% 184.21/29.12  | | | 
% 184.21/29.12  | | Case 2:
% 184.21/29.12  | | | 
% 184.21/29.12  | | |   (13)  all_56_3 = e3 & op(e2, e2) = e3
% 184.21/29.12  | | | 
% 184.21/29.12  | | | ALPHA: (13) implies:
% 184.21/29.12  | | |   (14)  op(e2, e2) = e3
% 184.21/29.12  | | | 
% 184.21/29.12  | | | REF_CLOSE: (2), (4), (9), (14) are inconsistent by sub-proof #1015.
% 184.21/29.12  | | | 
% 184.21/29.12  | | End of split
% 184.21/29.12  | | 
% 184.21/29.12  | Case 2:
% 184.21/29.12  | | 
% 184.21/29.12  | |   (15)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 184.21/29.12  | |           e3)
% 184.21/29.12  | | 
% 184.21/29.12  | | REF_CLOSE: (3), (5), (6), (8), (15) are inconsistent by sub-proof #772.
% 184.21/29.12  | | 
% 184.21/29.12  | End of split
% 184.21/29.12  | 
% 184.21/29.12  End of proof
% 184.21/29.12  
% 184.21/29.12  Sub-proof #79 shows that the following formulas are inconsistent:
% 184.21/29.12  ----------------------------------------------------------------
% 184.21/29.12    (1)  all_56_4 = e2
% 184.21/29.12    (2)   ~ (e3 = e0)
% 184.21/29.12    (3)   ~ (e2 = e0)
% 184.21/29.12    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.12    (5)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 184.21/29.12    (6)  op(e3, e0) = e3
% 184.21/29.12  
% 184.21/29.12  Begin of proof
% 184.21/29.12  | 
% 184.21/29.12  | BETA: splitting (5) gives:
% 184.21/29.12  | 
% 184.21/29.12  | Case 1:
% 184.21/29.12  | | 
% 184.21/29.12  | |   (7)  all_56_4 = e0 & op(e3, e1) = e0
% 184.21/29.12  | | 
% 184.21/29.12  | | REF_CLOSE: (1), (3), (7) are inconsistent by sub-proof #1190.
% 184.21/29.12  | | 
% 184.21/29.12  | Case 2:
% 184.21/29.12  | | 
% 184.21/29.12  | |   (8)  all_56_9 = e0 & op(e3, e0) = e0
% 184.21/29.12  | | 
% 184.21/29.12  | | ALPHA: (8) implies:
% 184.21/29.12  | |   (9)  op(e3, e0) = e0
% 184.21/29.12  | | 
% 184.21/29.12  | | REF_CLOSE: (2), (4), (6), (9) are inconsistent by sub-proof #1189.
% 184.21/29.12  | | 
% 184.21/29.12  | End of split
% 184.21/29.12  | 
% 184.21/29.12  End of proof
% 184.21/29.12  
% 184.21/29.12  Sub-proof #80 shows that the following formulas are inconsistent:
% 184.21/29.12  ----------------------------------------------------------------
% 184.21/29.12    (1)  all_56_15 = e3 & op(e0, e0) = e3
% 184.21/29.12    (2)  all_56_15 = e1
% 184.21/29.12    (3)   ~ (e3 = e1)
% 184.21/29.12  
% 184.21/29.12  Begin of proof
% 184.21/29.12  | 
% 184.21/29.12  | ALPHA: (1) implies:
% 184.21/29.12  |   (4)  all_56_15 = e3
% 184.21/29.12  | 
% 184.21/29.12  | COMBINE_EQS: (2), (4) imply:
% 184.21/29.12  |   (5)  e3 = e1
% 184.21/29.12  | 
% 184.21/29.12  | SIMP: (5) implies:
% 184.21/29.12  |   (6)  e3 = e1
% 184.21/29.12  | 
% 184.21/29.12  | REDUCE: (3), (6) imply:
% 184.21/29.12  |   (7)  $false
% 184.21/29.12  | 
% 184.21/29.12  | CLOSE: (7) is inconsistent.
% 184.21/29.12  | 
% 184.21/29.12  End of proof
% 184.21/29.12  
% 184.21/29.12  Sub-proof #81 shows that the following formulas are inconsistent:
% 184.21/29.12  ----------------------------------------------------------------
% 184.21/29.12    (1)  all_56_13 = e3
% 184.21/29.12    (2)   ~ (e3 = e0)
% 184.21/29.12    (3)   ~ (all_52_6 = e0)
% 184.21/29.12    (4)   ~ (e2 = e0)
% 184.21/29.12    (5)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.21/29.12         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.21/29.12    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.12    (7)   ~ (all_52_6 = e2)
% 184.21/29.12    (8)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 184.21/29.12         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 184.21/29.12    (9)   ~ (e3 = e2)
% 184.21/29.12    (10)   ~ (all_52_4 = e2)
% 184.21/29.12    (11)  op(e3, e2) = all_52_4
% 184.21/29.12    (12)  op(e1, e2) = all_52_6
% 184.21/29.12    (13)   ~ (all_52_4 = e0)
% 184.21/29.12  
% 184.21/29.12  Begin of proof
% 184.21/29.12  | 
% 184.21/29.12  | BETA: splitting (5) gives:
% 184.21/29.12  | 
% 184.21/29.12  | Case 1:
% 184.21/29.12  | | 
% 184.21/29.12  | |   (14)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 184.21/29.12  | |           e2)
% 184.21/29.12  | | 
% 184.21/29.12  | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (10), (11), (12), (13), (14) are
% 184.21/29.12  | |            inconsistent by sub-proof #157.
% 184.21/29.12  | | 
% 184.21/29.12  | Case 2:
% 184.21/29.12  | | 
% 184.21/29.12  | |   (15)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 184.21/29.12  | |           e2)
% 184.21/29.12  | | 
% 184.21/29.12  | | BETA: splitting (15) gives:
% 184.21/29.12  | | 
% 184.21/29.12  | | Case 1:
% 184.21/29.12  | | | 
% 184.21/29.12  | | |   (16)  all_56_7 = e2 & op(e1, e2) = e2
% 184.21/29.12  | | | 
% 184.21/29.12  | | | ALPHA: (16) implies:
% 184.21/29.12  | | |   (17)  op(e1, e2) = e2
% 184.21/29.12  | | | 
% 184.21/29.12  | | | REF_CLOSE: (6), (7), (12), (17) are inconsistent by sub-proof #1614.
% 184.21/29.12  | | | 
% 184.21/29.12  | | Case 2:
% 184.21/29.12  | | | 
% 184.21/29.12  | | |   (18)  all_56_13 = e2 & op(e0, e2) = e2
% 184.21/29.12  | | | 
% 184.21/29.12  | | | REF_CLOSE: (1), (9), (18) are inconsistent by sub-proof #1071.
% 184.21/29.12  | | | 
% 184.21/29.12  | | End of split
% 184.21/29.12  | | 
% 184.21/29.12  | End of split
% 184.21/29.12  | 
% 184.21/29.12  End of proof
% 184.21/29.12  
% 184.21/29.12  Sub-proof #82 shows that the following formulas are inconsistent:
% 184.21/29.12  ----------------------------------------------------------------
% 184.21/29.12    (1)   ~ (all_34_0 = e1) & op(e0, e0) = all_34_0 & $i(all_34_0)
% 184.21/29.12    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.12           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.12    (3)  op(e0, e0) = e1
% 184.21/29.12  
% 184.21/29.12  Begin of proof
% 184.21/29.12  | 
% 184.21/29.12  | ALPHA: (1) implies:
% 184.21/29.12  |   (4)   ~ (all_34_0 = e1)
% 184.21/29.12  |   (5)  op(e0, e0) = all_34_0
% 184.21/29.12  | 
% 184.21/29.12  | GROUND_INST: instantiating (2) with e1, all_34_0, e0, e0, simplifying with
% 184.21/29.12  |              (3), (5) gives:
% 184.21/29.12  |   (6)  all_34_0 = e1
% 184.21/29.12  | 
% 184.21/29.12  | REDUCE: (4), (6) imply:
% 184.21/29.12  |   (7)  $false
% 184.21/29.12  | 
% 184.21/29.12  | CLOSE: (7) is inconsistent.
% 184.21/29.12  | 
% 184.21/29.12  End of proof
% 184.21/29.12  
% 184.21/29.12  Sub-proof #83 shows that the following formulas are inconsistent:
% 184.21/29.12  ----------------------------------------------------------------
% 184.21/29.12    (1)   ~ (all_52_12 = all_4_2)
% 184.21/29.12    (2)   ~ (all_52_4 = all_52_12)
% 184.21/29.12    (3)   ~ (all_4_2 = e0)
% 184.21/29.12    (4)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) = e0) |
% 184.21/29.12         ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 & $i(all_57_24))
% 184.21/29.12    (5)   ~ (all_36_1 = e3)
% 184.21/29.12    (6)   ~ (e1 = e0)
% 184.21/29.12    (7)  op(e1, e0) = all_52_14
% 184.21/29.12    (8)   ~ (all_52_13 = all_52_14)
% 184.21/29.12    (9)  all_54_0 = all_4_2
% 184.21/29.12    (10)  op(e0, e0) = all_57_31
% 184.21/29.12    (11)  op(e2, e1) = all_52_9
% 184.21/29.12    (12)   ~ (all_52_14 = e1)
% 184.21/29.12    (13)  op(e3, e0) = all_52_12
% 184.21/29.12    (14)   ~ (e2 = e0)
% 184.21/29.12    (15)  op(e2, e0) = all_57_21
% 184.21/29.12    (16)   ~ (all_52_8 = all_4_2)
% 184.21/29.12    (17)   ~ (all_52_12 = all_52_13)
% 184.21/29.12    (18)   ~ (all_52_14 = e2)
% 184.21/29.12    (19)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 184.21/29.12    (20)   ~ (all_52_12 = all_52_14)
% 184.21/29.12    (21)  op(e2, e3) = all_52_1
% 184.21/29.12    (22)  op(e3, e0) = all_57_18
% 184.21/29.12    (23)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 184.21/29.12    (24)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.12            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.12    (25)   ~ (all_52_13 = e1)
% 184.21/29.12    (26)   ~ (all_52_1 = all_52_13)
% 184.21/29.12    (27)  all_54_7 = all_52_13
% 184.21/29.12    (28)   ~ (all_57_18 = e3)
% 184.21/29.12    (29)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 184.21/29.12              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 184.21/29.12            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.21/29.12              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.21/29.12            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 184.21/29.12            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.21/29.12            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 184.21/29.12            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.21/29.12            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 184.21/29.12            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.21/29.12              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 184.21/29.12              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.21/29.12            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.21/29.12          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 184.21/29.12              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 184.21/29.12            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.21/29.12              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.21/29.12            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 184.21/29.12            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.21/29.12            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 184.21/29.12            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.21/29.12            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.21/29.12              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.21/29.12              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 184.21/29.12            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 184.21/29.12            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.21/29.12            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 184.21/29.12            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 184.21/29.12            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 184.21/29.12            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 184.21/29.12            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.21/29.12            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 184.21/29.12            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 184.21/29.12            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 184.21/29.12              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 184.21/29.12            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 184.21/29.12            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 184.21/29.12              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 184.21/29.12            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 184.21/29.12            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 184.21/29.12            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 184.21/29.12            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.21/29.12            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 184.21/29.12              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 184.21/29.12              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 184.21/29.12            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 184.21/29.12            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 184.21/29.12              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 184.21/29.12            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 184.21/29.12            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.21/29.12            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 184.21/29.12            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.21/29.12            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 184.21/29.12                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 184.21/29.12                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 184.21/29.12                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.21/29.12                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 184.21/29.12                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.21/29.12                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.21/29.12                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.21/29.12                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.21/29.12                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.21/29.12                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.21/29.12                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 184.21/29.12                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.21/29.12                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.21/29.12                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.21/29.12                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 184.21/29.12                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 184.21/29.12    (30)  all_54_11 = all_52_14
% 184.21/29.12    (31)   ~ (all_52_9 = e2)
% 184.21/29.12    (32)  op(e2, e0) = all_52_13
% 184.21/29.12    (33)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 184.21/29.12    (34)   ~ (all_52_12 = e1)
% 184.21/29.12    (35)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 184.21/29.12    (36)  op(e3, e1) = all_52_8
% 184.21/29.12    (37)  op(e3, e3) = all_4_2
% 184.21/29.12    (38)  op(e3, e2) = all_52_4
% 184.21/29.12    (39)  op(e1, e0) = all_36_1
% 184.21/29.12    (40)  op(e0, e0) = e1
% 184.21/29.12    (41)  op(e1, e1) = e2
% 184.21/29.12    (42)  all_54_3 = all_52_12
% 184.21/29.12  
% 184.21/29.12  Begin of proof
% 184.21/29.12  | 
% 184.21/29.12  | BETA: splitting (4) gives:
% 184.21/29.12  | 
% 184.21/29.12  | Case 1:
% 184.21/29.12  | | 
% 184.21/29.12  | |   (43)  all_57_30 = e0 & op(e1, e1) = e0
% 184.21/29.12  | | 
% 184.21/29.12  | | ALPHA: (43) implies:
% 184.21/29.12  | |   (44)  op(e1, e1) = e0
% 184.21/29.12  | | 
% 184.21/29.12  | | REF_CLOSE: (14), (24), (41), (44) are inconsistent by sub-proof #1230.
% 184.21/29.12  | | 
% 184.21/29.12  | Case 2:
% 184.21/29.12  | | 
% 184.21/29.12  | |   (45)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) & op(e1,
% 184.21/29.12  | |             e0) = all_57_24 & $i(all_57_24))
% 184.21/29.12  | | 
% 184.21/29.12  | | BETA: splitting (45) gives:
% 184.21/29.12  | | 
% 184.21/29.12  | | Case 1:
% 184.21/29.12  | | | 
% 184.21/29.12  | | |   (46)  all_57_31 = e0 & op(e0, e0) = e0
% 184.21/29.12  | | | 
% 184.21/29.12  | | | ALPHA: (46) implies:
% 184.21/29.12  | | |   (47)  op(e0, e0) = e0
% 184.21/29.12  | | | 
% 184.21/29.12  | | | REF_CLOSE: (6), (24), (40), (47) are inconsistent by sub-proof #119.
% 184.21/29.12  | | | 
% 184.21/29.12  | | Case 2:
% 184.21/29.12  | | | 
% 184.21/29.12  | | |   (48)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 & $i(all_57_24)
% 184.21/29.12  | | | 
% 184.21/29.12  | | | ALPHA: (48) implies:
% 184.21/29.12  | | |   (49)   ~ (all_57_24 = e1)
% 184.21/29.12  | | |   (50)  op(e1, e0) = all_57_24
% 184.21/29.12  | | | 
% 184.21/29.12  | | | GROUND_INST: instantiating (24) with e1, all_57_31, e0, e0, simplifying
% 184.21/29.12  | | |              with (10), (40) gives:
% 184.21/29.12  | | |   (51)  all_57_31 = e1
% 184.21/29.12  | | | 
% 184.21/29.12  | | | GROUND_INST: instantiating (24) with all_52_14, all_57_24, e0, e1,
% 184.21/29.12  | | |              simplifying with (7), (50) gives:
% 184.21/29.12  | | |   (52)  all_57_24 = all_52_14
% 184.21/29.12  | | | 
% 184.21/29.12  | | | GROUND_INST: instantiating (24) with all_36_1, all_57_24, e0, e1,
% 184.21/29.12  | | |              simplifying with (39), (50) gives:
% 184.21/29.12  | | |   (53)  all_57_24 = all_36_1
% 184.21/29.12  | | | 
% 184.21/29.12  | | | GROUND_INST: instantiating (24) with all_52_13, all_57_21, e0, e2,
% 184.21/29.12  | | |              simplifying with (15), (32) gives:
% 184.21/29.12  | | |   (54)  all_57_21 = all_52_13
% 184.21/29.12  | | | 
% 184.21/29.12  | | | GROUND_INST: instantiating (24) with all_52_12, all_57_18, e0, e3,
% 184.21/29.12  | | |              simplifying with (13), (22) gives:
% 184.21/29.12  | | |   (55)  all_57_18 = all_52_12
% 184.21/29.12  | | | 
% 184.21/29.12  | | | COMBINE_EQS: (52), (53) imply:
% 184.21/29.12  | | |   (56)  all_52_14 = all_36_1
% 184.21/29.12  | | | 
% 184.21/29.12  | | | SIMP: (56) implies:
% 184.21/29.12  | | |   (57)  all_52_14 = all_36_1
% 184.21/29.12  | | | 
% 184.21/29.12  | | | COMBINE_EQS: (30), (57) imply:
% 184.21/29.12  | | |   (58)  all_54_11 = all_36_1
% 184.21/29.12  | | | 
% 184.21/29.12  | | | REDUCE: (28), (55) imply:
% 184.21/29.12  | | |   (59)   ~ (all_52_12 = e3)
% 184.21/29.12  | | | 
% 184.21/29.12  | | | REDUCE: (20), (57) imply:
% 184.21/29.13  | | |   (60)   ~ (all_52_12 = all_36_1)
% 184.21/29.13  | | | 
% 184.21/29.13  | | | REDUCE: (8), (57) imply:
% 184.21/29.13  | | |   (61)   ~ (all_52_13 = all_36_1)
% 184.21/29.13  | | | 
% 184.21/29.13  | | | REDUCE: (18), (57) imply:
% 184.21/29.13  | | |   (62)   ~ (all_36_1 = e2)
% 184.21/29.13  | | | 
% 184.21/29.13  | | | REDUCE: (12), (57) imply:
% 184.21/29.13  | | |   (63)   ~ (all_36_1 = e1)
% 184.21/29.13  | | | 
% 184.21/29.13  | | | BETA: splitting (19) gives:
% 184.21/29.13  | | | 
% 184.21/29.13  | | | Case 1:
% 184.21/29.13  | | | | 
% 184.21/29.13  | | | |   (64)  all_54_11 = e3
% 184.21/29.13  | | | | 
% 184.21/29.13  | | | | REF_CLOSE: (5), (58), (64) are inconsistent by sub-proof #86.
% 184.21/29.13  | | | | 
% 184.21/29.13  | | | Case 2:
% 184.21/29.13  | | | | 
% 184.21/29.13  | | | |   (65)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 184.21/29.13  | | | | 
% 184.21/29.13  | | | | BETA: splitting (65) gives:
% 184.21/29.13  | | | | 
% 184.21/29.13  | | | | Case 1:
% 184.21/29.13  | | | | | 
% 184.21/29.13  | | | | |   (66)  all_54_11 = e2
% 184.21/29.13  | | | | | 
% 184.21/29.13  | | | | | REF_CLOSE: (58), (62), (66) are inconsistent by sub-proof #85.
% 184.21/29.13  | | | | | 
% 184.21/29.13  | | | | Case 2:
% 184.21/29.13  | | | | | 
% 184.21/29.13  | | | | |   (67)  all_54_11 = e1 | all_54_11 = e0
% 184.21/29.13  | | | | | 
% 184.21/29.13  | | | | | BETA: splitting (67) gives:
% 184.21/29.13  | | | | | 
% 184.21/29.13  | | | | | Case 1:
% 184.21/29.13  | | | | | | 
% 184.21/29.13  | | | | | |   (68)  all_54_11 = e1
% 184.21/29.13  | | | | | | 
% 184.21/29.13  | | | | | | REF_CLOSE: (58), (63), (68) are inconsistent by sub-proof #84.
% 184.21/29.13  | | | | | | 
% 184.21/29.13  | | | | | Case 2:
% 184.21/29.13  | | | | | | 
% 184.21/29.13  | | | | | |   (69)  all_54_11 = e0
% 184.21/29.13  | | | | | | 
% 184.21/29.13  | | | | | | COMBINE_EQS: (58), (69) imply:
% 184.21/29.13  | | | | | |   (70)  all_36_1 = e0
% 184.21/29.13  | | | | | | 
% 184.21/29.13  | | | | | | SIMP: (70) implies:
% 184.21/29.13  | | | | | |   (71)  all_36_1 = e0
% 184.21/29.13  | | | | | | 
% 184.21/29.13  | | | | | | COMBINE_EQS: (53), (71) imply:
% 184.21/29.13  | | | | | |   (72)  all_57_24 = e0
% 184.21/29.13  | | | | | | 
% 184.21/29.13  | | | | | | REDUCE: (60), (71) imply:
% 184.21/29.13  | | | | | |   (73)   ~ (all_52_12 = e0)
% 184.21/29.13  | | | | | | 
% 184.21/29.13  | | | | | | REDUCE: (61), (71) imply:
% 184.21/29.13  | | | | | |   (74)   ~ (all_52_13 = e0)
% 184.21/29.13  | | | | | | 
% 184.21/29.13  | | | | | | BETA: splitting (33) gives:
% 184.21/29.13  | | | | | | 
% 184.21/29.13  | | | | | | Case 1:
% 184.21/29.13  | | | | | | | 
% 184.21/29.13  | | | | | | |   (75)  all_54_3 = e3
% 184.21/29.13  | | | | | | | 
% 184.21/29.13  | | | | | | | REF_CLOSE: (42), (59), (75) are inconsistent by sub-proof #809.
% 184.21/29.13  | | | | | | | 
% 184.21/29.13  | | | | | | Case 2:
% 184.21/29.13  | | | | | | | 
% 184.21/29.13  | | | | | | |   (76)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 184.21/29.13  | | | | | | | 
% 184.21/29.13  | | | | | | | BETA: splitting (76) gives:
% 184.21/29.13  | | | | | | | 
% 184.21/29.13  | | | | | | | Case 1:
% 184.21/29.13  | | | | | | | | 
% 184.21/29.13  | | | | | | | |   (77)  all_54_3 = e2
% 184.21/29.13  | | | | | | | | 
% 184.21/29.13  | | | | | | | | COMBINE_EQS: (42), (77) imply:
% 184.21/29.13  | | | | | | | |   (78)  all_52_12 = e2
% 184.21/29.13  | | | | | | | | 
% 184.21/29.13  | | | | | | | | SIMP: (78) implies:
% 184.21/29.13  | | | | | | | |   (79)  all_52_12 = e2
% 184.21/29.13  | | | | | | | | 
% 184.21/29.13  | | | | | | | | COMBINE_EQS: (55), (79) imply:
% 184.21/29.13  | | | | | | | |   (80)  all_57_18 = e2
% 184.21/29.13  | | | | | | | | 
% 184.21/29.13  | | | | | | | | REDUCE: (2), (79) imply:
% 184.21/29.13  | | | | | | | |   (81)   ~ (all_52_4 = e2)
% 184.21/29.13  | | | | | | | | 
% 184.21/29.13  | | | | | | | | REDUCE: (17), (79) imply:
% 184.21/29.13  | | | | | | | |   (82)   ~ (all_52_13 = e2)
% 184.21/29.13  | | | | | | | | 
% 184.21/29.13  | | | | | | | | SIMP: (82) implies:
% 184.21/29.13  | | | | | | | |   (83)   ~ (all_52_13 = e2)
% 184.21/29.13  | | | | | | | | 
% 184.21/29.13  | | | | | | | | REDUCE: (1), (79) imply:
% 184.21/29.13  | | | | | | | |   (84)   ~ (all_4_2 = e2)
% 184.21/29.13  | | | | | | | | 
% 184.21/29.13  | | | | | | | | SIMP: (84) implies:
% 184.21/29.13  | | | | | | | |   (85)   ~ (all_4_2 = e2)
% 184.21/29.13  | | | | | | | | 
% 184.21/29.13  | | | | | | | | BETA: splitting (35) gives:
% 184.21/29.13  | | | | | | | | 
% 184.21/29.13  | | | | | | | | Case 1:
% 184.21/29.13  | | | | | | | | | 
% 184.21/29.13  | | | | | | | | |   (86)  all_54_7 = e3
% 184.21/29.13  | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | COMBINE_EQS: (27), (86) imply:
% 184.21/29.13  | | | | | | | | |   (87)  all_52_13 = e3
% 184.21/29.13  | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | REDUCE: (26), (87) imply:
% 184.21/29.13  | | | | | | | | |   (88)   ~ (all_52_1 = e3)
% 184.21/29.13  | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | BETA: splitting (29) gives:
% 184.21/29.13  | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | Case 1:
% 184.21/29.13  | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | |   (89)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 =
% 184.21/29.13  | | | | | | | | | |           e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~
% 184.21/29.13  | | | | | | | | | |           (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 184.21/29.13  | | | | | | | | | |             all_57_17) = all_57_2 & op(e3, all_57_18) =
% 184.21/29.13  | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.21/29.13  | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 184.21/29.13  | | | | | | | | | |           all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 184.21/29.13  | | | | | | | | | |           e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 184.21/29.13  | | | | | | | | | |           $i(all_57_17) & $i(all_57_18) & $i(all_57_28)) |
% 184.21/29.13  | | | | | | | | | |         (all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 =
% 184.21/29.13  | | | | | | | | | |           e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.21/29.13  | | | | | | | | | |           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 184.21/29.13  | | | | | | | | | |             all_57_16) = all_57_1 & op(e3, all_57_18) =
% 184.21/29.13  | | | | | | | | | |           all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.21/29.13  | | | | | | | | | |             e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 184.21/29.13  | | | | | | | | | |           op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 184.21/29.13  | | | | | | | | | |             e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.21/29.13  | | | | | | | | | |           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 184.21/29.13  | | | | | | | | | |           $i(all_57_28)) | (all_57_3 = all_57_28 & all_57_18
% 184.21/29.13  | | | | | | | | | |           = e3 & all_57_25 = e3 &  ~ (all_57_0 = e3) &  ~
% 184.21/29.13  | | | | | | | | | |           (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~
% 184.21/29.13  | | | | | | | | | |           (all_57_28 = e0) & op(e3, all_57_16) = all_57_1 &
% 184.21/29.13  | | | | | | | | | |           op(e3, all_57_17) = all_57_2 & op(e3, all_57_28) =
% 184.21/29.13  | | | | | | | | | |           all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.21/29.13  | | | | | | | | | |           all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) =
% 184.21/29.13  | | | | | | | | | |           e3 & op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1)
% 184.21/29.13  | | | | | | | | | |           & $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.21/29.13  | | | | | | | | | |           $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16
% 184.21/29.13  | | | | | | | | | |           = e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~
% 184.21/29.13  | | | | | | | | | |           (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~
% 184.21/29.13  | | | | | | | | | |           (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.21/29.13  | | | | | | | | | |             all_57_20) = all_57_6 & op(e2, all_57_21) =
% 184.21/29.13  | | | | | | | | | |           all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.21/29.13  | | | | | | | | | |             e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1) =
% 184.21/29.13  | | | | | | | | | |           all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5)
% 184.21/29.13  | | | | | | | | | |           & $i(all_57_6) & $i(all_57_7) & $i(all_57_20) &
% 184.21/29.13  | | | | | | | | | |           $i(all_57_21) & $i(all_57_29))
% 184.21/29.13  | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | BETA: splitting (89) gives:
% 184.21/29.13  | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | Case 1:
% 184.21/29.13  | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | |   (90)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.21/29.13  | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 184.21/29.13  | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.21/29.13  | | | | | | | | | | |           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.21/29.13  | | | | | | | | | | |           = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 184.21/29.13  | | | | | | | | | | |           op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.21/29.13  | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 184.21/29.13  | | | | | | | | | | |           & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 184.21/29.13  | | | | | | | | | | |           & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 184.21/29.13  | | | | | | | | | | |           $i(all_57_28)) | (all_57_2 = all_57_28 &
% 184.21/29.13  | | | | | | | | | | |           all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 184.21/29.13  | | | | | | | | | | |             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 184.21/29.13  | | | | | | | | | | |           &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 184.21/29.13  | | | | | | | | | | |           all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.21/29.13  | | | | | | | | | | |             all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 184.21/29.13  | | | | | | | | | | |           & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 184.21/29.13  | | | | | | | | | | |           op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.21/29.13  | | | | | | | | | | |           $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.21/29.13  | | | | | | | | | | |           $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 184.21/29.13  | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | BETA: splitting (90) gives:
% 184.21/29.13  | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | Case 1:
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | |   (91)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.21/29.13  | | | | | | | | | | | |         = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 184.21/29.13  | | | | | | | | | | | |         ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 184.21/29.13  | | | | | | | | | | | |           all_57_17) = all_57_2 & op(e3, all_57_18) =
% 184.21/29.13  | | | | | | | | | | | |         all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.21/29.13  | | | | | | | | | | | |           e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 184.21/29.13  | | | | | | | | | | | |         all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 184.21/29.13  | | | | | | | | | | | |         e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 184.21/29.13  | | | | | | | | | | | |         $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | ALPHA: (91) implies:
% 184.21/29.13  | | | | | | | | | | | |   (92)  op(e2, e3) = e3
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | REF_CLOSE: (21), (24), (88), (92) are inconsistent by
% 184.21/29.13  | | | | | | | | | | | |            sub-proof #286.
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | Case 2:
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | |   (93)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 184.21/29.13  | | | | | | | | | | | |         = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 184.21/29.13  | | | | | | | | | | | |         ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 184.21/29.13  | | | | | | | | | | | |           all_57_16) = all_57_1 & op(e3, all_57_18) =
% 184.21/29.13  | | | | | | | | | | | |         all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.21/29.13  | | | | | | | | | | | |           e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 184.21/29.13  | | | | | | | | | | | |         op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 184.21/29.13  | | | | | | | | | | | |           e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.21/29.13  | | | | | | | | | | | |         $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 184.21/29.13  | | | | | | | | | | | |         $i(all_57_28)
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | ALPHA: (93) implies:
% 184.21/29.13  | | | | | | | | | | | |   (94)   ~ (all_57_28 = e1)
% 184.21/29.13  | | | | | | | | | | | |   (95)  op(e3, e1) = e3
% 184.21/29.13  | | | | | | | | | | | |   (96)  op(e3, e3) = all_57_28
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_52_8, e3, e1, e3,
% 184.21/29.13  | | | | | | | | | | | |              simplifying with (36), (95) gives:
% 184.21/29.13  | | | | | | | | | | | |   (97)  all_52_8 = e3
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_4_2, all_57_28, e3,
% 184.21/29.13  | | | | | | | | | | | |              e3, simplifying with (37), (96) gives:
% 184.21/29.13  | | | | | | | | | | | |   (98)  all_57_28 = all_4_2
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | REDUCE: (94), (98) imply:
% 184.21/29.13  | | | | | | | | | | | |   (99)   ~ (all_4_2 = e1)
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | REDUCE: (16), (97) imply:
% 184.21/29.13  | | | | | | | | | | | |   (100)   ~ (all_4_2 = e3)
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | SIMP: (100) implies:
% 184.21/29.13  | | | | | | | | | | | |   (101)   ~ (all_4_2 = e3)
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | BETA: splitting (23) gives:
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | Case 1:
% 184.21/29.13  | | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | |   (102)  all_54_0 = e3
% 184.21/29.13  | | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | | COMBINE_EQS: (9), (102) imply:
% 184.21/29.13  | | | | | | | | | | | | |   (103)  all_4_2 = e3
% 184.21/29.13  | | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | | SIMP: (103) implies:
% 184.21/29.13  | | | | | | | | | | | | |   (104)  all_4_2 = e3
% 184.21/29.13  | | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | | REDUCE: (101), (104) imply:
% 184.21/29.13  | | | | | | | | | | | | |   (105)  $false
% 184.21/29.13  | | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | | CLOSE: (105) is inconsistent.
% 184.21/29.13  | | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | Case 2:
% 184.21/29.13  | | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | |   (106)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 184.21/29.13  | | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | | REF_CLOSE: (3), (9), (85), (99), (106) are inconsistent by
% 184.21/29.13  | | | | | | | | | | | | |            sub-proof #1354.
% 184.21/29.13  | | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | End of split
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | End of split
% 184.21/29.13  | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | Case 2:
% 184.21/29.13  | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | |   (107)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.21/29.13  | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 184.21/29.13  | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.21/29.13  | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 184.21/29.13  | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 184.21/29.13  | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 184.21/29.13  | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 184.21/29.13  | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.21/29.13  | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.21/29.13  | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 184.21/29.13  | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 184.21/29.13  | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 184.21/29.13  | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.21/29.13  | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 184.21/29.13  | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.21/29.13  | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 184.21/29.13  | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 184.21/29.13  | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 184.21/29.13  | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 184.21/29.13  | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | REF_CLOSE: (13), (17), (24), (25), (27), (35), (38), (74),
% 184.21/29.13  | | | | | | | | | | |            (81), (83), (107) are inconsistent by sub-proof
% 184.21/29.13  | | | | | | | | | | |            #173.
% 184.21/29.13  | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | End of split
% 184.21/29.13  | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | Case 2:
% 184.21/29.13  | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | |   (108)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.21/29.13  | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 184.21/29.13  | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 184.21/29.13  | | | | | | | | | |              all_57_19) = all_57_4 & op(e2, all_57_21) =
% 184.21/29.13  | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.21/29.13  | | | | | | | | | |              e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 184.21/29.13  | | | | | | | | | |            op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 184.21/29.13  | | | | | | | | | |              e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.21/29.13  | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.21/29.13  | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 184.21/29.13  | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 184.21/29.13  | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &
% 184.21/29.13  | | | | | | | | | |             ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.21/29.13  | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.21/29.13  | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 184.21/29.13  | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20
% 184.21/29.13  | | | | | | | | | |            & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.21/29.13  | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.21/29.13  | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 184.21/29.13  | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.21/29.13  | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &
% 184.21/29.13  | | | | | | | | | |             ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.21/29.13  | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.21/29.13  | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30)
% 184.21/29.13  | | | | | | | | | |            = all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 184.21/29.13  | | | | | | | | | |            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.21/29.13  | | | | | | | | | |            all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 184.21/29.13  | | | | | | | | | |            $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 184.21/29.13  | | | | | | | | | |            $i(all_57_30)) | (all_57_9 = all_57_30 &
% 184.21/29.13  | | | | | | | | | |            all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 =
% 184.21/29.13  | | | | | | | | | |              e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0)
% 184.21/29.13  | | | | | | | | | |            &  ~ (all_57_30 = e2) & op(e2, e1) = e1 & op(e1,
% 184.21/29.13  | | | | | | | | | |              all_57_22) = all_57_8 & op(e1, all_57_24) =
% 184.21/29.13  | | | | | | | | | |            all_57_11 & op(e1, all_57_30) = all_57_10 &
% 184.21/29.13  | | | | | | | | | |            op(e1, e3) = all_57_22 & op(e1, e2) = e1 & op(e1,
% 184.21/29.13  | | | | | | | | | |              e1) = all_57_30 & op(e1, e0) = all_57_24 &
% 184.21/29.13  | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.21/29.13  | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.21/29.13  | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.21/29.13  | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.21/29.13  | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.21/29.13  | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.21/29.13  | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.21/29.13  | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.21/29.13  | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.21/29.13  | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.21/29.13  | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.21/29.13  | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 184.21/29.13  | | | | | | | | | |                $i(all_57_22) & $i(all_57_23) &
% 184.21/29.13  | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.21/29.13  | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.21/29.13  | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.21/29.13  | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.21/29.13  | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.21/29.13  | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.21/29.13  | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.21/29.13  | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.21/29.13  | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) & $i(all_57_15)
% 184.21/29.13  | | | | | | | | | |                & $i(all_57_25) & $i(all_57_26) &
% 184.21/29.13  | | | | | | | | | |                $i(all_57_31) & (all_57_31 = e0 | (all_57_18
% 184.21/29.13  | | | | | | | | | |                    = e0 & all_57_25 = e0 & op(e3, e0) = e0)
% 184.21/29.13  | | | | | | | | | |                  | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 184.21/29.13  | | | | | | | | | |                      e0) = e0) | (all_57_24 = e0 & all_57_27
% 184.21/29.13  | | | | | | | | | |                    = e0 & op(e1, e0) = e0)))))
% 184.21/29.13  | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | BETA: splitting (108) gives:
% 184.21/29.13  | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | Case 1:
% 184.21/29.13  | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | |   (109)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.21/29.13  | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 184.21/29.13  | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.21/29.13  | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 184.21/29.13  | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.21/29.13  | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 184.21/29.13  | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.21/29.13  | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.21/29.13  | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.21/29.13  | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 184.21/29.13  | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 184.21/29.13  | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 184.21/29.13  | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.21/29.13  | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.21/29.13  | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 184.21/29.13  | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 184.21/29.13  | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.21/29.13  | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.21/29.13  | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 184.21/29.13  | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | BETA: splitting (109) gives:
% 184.21/29.13  | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | Case 1:
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | |   (110)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.21/29.13  | | | | | | | | | | | |          = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 184.21/29.13  | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 184.21/29.13  | | | | | | | | | | | |            all_57_19) = all_57_4 & op(e2, all_57_21) =
% 184.21/29.13  | | | | | | | | | | | |          all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.21/29.13  | | | | | | | | | | | |            e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 184.21/29.13  | | | | | | | | | | | |          op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 184.21/29.13  | | | | | | | | | | | |            e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.21/29.13  | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.21/29.13  | | | | | | | | | | | |          $i(all_57_29)
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | ALPHA: (110) implies:
% 184.21/29.13  | | | | | | | | | | | |   (111)  op(e2, e1) = e2
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | REF_CLOSE: (11), (24), (31), (111) are inconsistent by
% 184.21/29.13  | | | | | | | | | | | |            sub-proof #226.
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | Case 2:
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | |   (112)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 184.21/29.13  | | | | | | | | | | | |          = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 184.21/29.13  | | | | | | | | | | | |          ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 184.21/29.13  | | | | | | | | | | | |            all_57_19) = all_57_4 & op(e2, all_57_20) =
% 184.21/29.13  | | | | | | | | | | | |          all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.21/29.13  | | | | | | | | | | | |            e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 184.21/29.13  | | | | | | | | | | | |          op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 184.21/29.13  | | | | | | | | | | | |            e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.21/29.13  | | | | | | | | | | | |          $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 184.21/29.13  | | | | | | | | | | | |          $i(all_57_29)
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | ALPHA: (112) implies:
% 184.21/29.13  | | | | | | | | | | | |   (113)  op(e2, e0) = e2
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | REF_CLOSE: (24), (32), (83), (113) are inconsistent by
% 184.21/29.13  | | | | | | | | | | | |            sub-proof #1562.
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | End of split
% 184.21/29.13  | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | Case 2:
% 184.21/29.13  | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | |   (114)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.21/29.13  | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 184.21/29.13  | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.21/29.13  | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.21/29.13  | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.21/29.13  | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 184.21/29.13  | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.21/29.13  | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 184.21/29.13  | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.21/29.13  | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 184.21/29.13  | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.21/29.13  | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.21/29.13  | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.21/29.13  | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.21/29.13  | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.21/29.13  | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.21/29.13  | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.21/29.13  | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.21/29.13  | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.21/29.13  | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.21/29.13  | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.21/29.13  | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.21/29.13  | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.21/29.13  | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.21/29.13  | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.21/29.13  | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.21/29.13  | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.21/29.13  | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.21/29.13  | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.21/29.13  | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.21/29.13  | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.21/29.13  | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.21/29.13  | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.21/29.13  | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.21/29.13  | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.21/29.13  | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.21/29.13  | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.21/29.13  | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.21/29.13  | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.21/29.13  | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.21/29.13  | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.21/29.13  | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.21/29.13  | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.21/29.13  | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.21/29.13  | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.21/29.13  | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.21/29.13  | | | | | | | | | | |                      e0) = e0)))))
% 184.21/29.13  | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | BETA: splitting (114) gives:
% 184.21/29.13  | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | Case 1:
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | |   (115)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.21/29.13  | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 184.21/29.13  | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 184.21/29.13  | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.21/29.13  | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 184.21/29.13  | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 184.21/29.13  | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.21/29.13  | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 184.21/29.13  | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 184.21/29.13  | | | | | | | | | | | |          $i(all_57_30)
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | ALPHA: (115) implies:
% 184.21/29.13  | | | | | | | | | | | |   (116)   ~ (all_57_11 = e0)
% 184.21/29.13  | | | | | | | | | | | |   (117)  op(e1, all_57_24) = all_57_11
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | REF_CLOSE: (24), (50), (72), (116), (117) are inconsistent by
% 184.21/29.13  | | | | | | | | | | | |            sub-proof #172.
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | Case 2:
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | |   (118)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 184.21/29.13  | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 184.21/29.13  | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 184.21/29.13  | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.21/29.13  | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.21/29.13  | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.21/29.13  | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.21/29.13  | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.21/29.13  | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.21/29.13  | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.21/29.13  | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.21/29.13  | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.21/29.13  | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.21/29.13  | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.21/29.13  | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.21/29.13  | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.21/29.13  | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.21/29.13  | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.21/29.13  | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.21/29.13  | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.21/29.13  | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.21/29.13  | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.21/29.13  | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.21/29.13  | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.21/29.13  | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.21/29.13  | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.21/29.13  | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.21/29.13  | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.21/29.13  | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.21/29.13  | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.21/29.13  | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.21/29.13  | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.21/29.13  | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.21/29.13  | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.21/29.13  | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.21/29.13  | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.21/29.13  | | | | | | | | | | | |                      e0) = e0)))))
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | BETA: splitting (118) gives:
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | Case 1:
% 184.21/29.13  | | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | |   (119)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 184.21/29.13  | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 184.21/29.13  | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.21/29.13  | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 184.21/29.13  | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 184.21/29.13  | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.21/29.13  | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.21/29.13  | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 184.21/29.13  | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.21/29.13  | | | | | | | | | | | | |          $i(all_57_30)
% 184.21/29.13  | | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | | ALPHA: (119) implies:
% 184.21/29.13  | | | | | | | | | | | | |   (120)   ~ (all_57_30 = e2)
% 184.21/29.13  | | | | | | | | | | | | |   (121)  op(e1, e1) = all_57_30
% 184.21/29.13  | | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | | REF_CLOSE: (24), (41), (120), (121) are inconsistent by
% 184.21/29.13  | | | | | | | | | | | | |            sub-proof #661.
% 184.21/29.13  | | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | Case 2:
% 184.21/29.13  | | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | |   (122)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.21/29.13  | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.21/29.13  | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.21/29.13  | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.21/29.13  | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 184.21/29.13  | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.21/29.13  | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.21/29.13  | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.21/29.13  | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 184.21/29.13  | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 184.21/29.13  | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 184.21/29.13  | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 184.21/29.13  | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.21/29.13  | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 184.21/29.13  | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 184.21/29.13  | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.21/29.13  | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.21/29.13  | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 184.21/29.13  | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 184.21/29.13  | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 184.21/29.13  | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.21/29.13  | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.21/29.13  | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.21/29.13  | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 184.21/29.13  | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.21/29.13  | | | | | | | | | | | | |                    e0) = e0))))
% 184.21/29.13  | | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | | ALPHA: (122) implies:
% 184.21/29.13  | | | | | | | | | | | | |   (123)  op(e0, e1) = all_57_27
% 184.21/29.13  | | | | | | | | | | | | |   (124)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.21/29.13  | | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.21/29.13  | | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.21/29.13  | | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 184.21/29.13  | | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.21/29.13  | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.21/29.13  | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 184.21/29.13  | | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 184.21/29.13  | | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.21/29.13  | | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 184.21/29.13  | | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 184.21/29.13  | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 184.21/29.13  | | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.21/29.13  | | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 184.21/29.13  | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 184.21/29.13  | | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 184.21/29.13  | | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.21/29.13  | | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 184.21/29.13  | | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 184.21/29.13  | | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 184.21/29.13  | | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 184.21/29.13  | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 184.21/29.13  | | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 184.21/29.13  | | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | | REF_CLOSE: (7), (12), (14), (24), (32), (49), (50), (51),
% 184.21/29.13  | | | | | | | | | | | | |            (74), (80), (123), (124) are inconsistent by
% 184.21/29.13  | | | | | | | | | | | | |            sub-proof #115.
% 184.21/29.13  | | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | | End of split
% 184.21/29.13  | | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | | End of split
% 184.21/29.13  | | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | | End of split
% 184.21/29.13  | | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | End of split
% 184.21/29.13  | | | | | | | | | 
% 184.21/29.13  | | | | | | | | Case 2:
% 184.21/29.13  | | | | | | | | | 
% 184.21/29.13  | | | | | | | | |   (125)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 184.21/29.13  | | | | | | | | | 
% 184.21/29.13  | | | | | | | | | REF_CLOSE: (25), (27), (74), (83), (125) are inconsistent by
% 184.21/29.13  | | | | | | | | |            sub-proof #944.
% 184.21/29.13  | | | | | | | | | 
% 184.21/29.13  | | | | | | | | End of split
% 184.21/29.13  | | | | | | | | 
% 184.21/29.13  | | | | | | | Case 2:
% 184.21/29.13  | | | | | | | | 
% 184.21/29.13  | | | | | | | |   (126)  all_54_3 = e1 | all_54_3 = e0
% 184.21/29.13  | | | | | | | | 
% 184.21/29.13  | | | | | | | | REF_CLOSE: (34), (42), (73), (126) are inconsistent by sub-proof
% 184.21/29.13  | | | | | | | |            #827.
% 184.21/29.13  | | | | | | | | 
% 184.21/29.13  | | | | | | | End of split
% 184.21/29.13  | | | | | | | 
% 184.21/29.13  | | | | | | End of split
% 184.21/29.13  | | | | | | 
% 184.21/29.13  | | | | | End of split
% 184.21/29.13  | | | | | 
% 184.21/29.13  | | | | End of split
% 184.21/29.13  | | | | 
% 184.21/29.13  | | | End of split
% 184.21/29.13  | | | 
% 184.21/29.13  | | End of split
% 184.21/29.13  | | 
% 184.21/29.13  | End of split
% 184.21/29.13  | 
% 184.21/29.13  End of proof
% 184.21/29.13  
% 184.21/29.13  Sub-proof #84 shows that the following formulas are inconsistent:
% 184.21/29.13  ----------------------------------------------------------------
% 184.21/29.13    (1)  all_54_11 = all_36_1
% 184.21/29.13    (2)  all_54_11 = e1
% 184.21/29.13    (3)   ~ (all_36_1 = e1)
% 184.21/29.13  
% 184.21/29.13  Begin of proof
% 184.21/29.13  | 
% 184.21/29.13  | COMBINE_EQS: (1), (2) imply:
% 184.21/29.13  |   (4)  all_36_1 = e1
% 184.21/29.13  | 
% 184.21/29.13  | SIMP: (4) implies:
% 184.21/29.13  |   (5)  all_36_1 = e1
% 184.21/29.13  | 
% 184.21/29.14  | REDUCE: (3), (5) imply:
% 184.21/29.14  |   (6)  $false
% 184.21/29.14  | 
% 184.21/29.14  | CLOSE: (6) is inconsistent.
% 184.21/29.14  | 
% 184.21/29.14  End of proof
% 184.21/29.14  
% 184.21/29.14  Sub-proof #85 shows that the following formulas are inconsistent:
% 184.21/29.14  ----------------------------------------------------------------
% 184.21/29.14    (1)  all_54_11 = all_36_1
% 184.21/29.14    (2)  all_54_11 = e2
% 184.21/29.14    (3)   ~ (all_36_1 = e2)
% 184.21/29.14  
% 184.21/29.14  Begin of proof
% 184.21/29.14  | 
% 184.21/29.14  | COMBINE_EQS: (1), (2) imply:
% 184.21/29.14  |   (4)  all_36_1 = e2
% 184.21/29.14  | 
% 184.21/29.14  | SIMP: (4) implies:
% 184.21/29.14  |   (5)  all_36_1 = e2
% 184.21/29.14  | 
% 184.21/29.14  | REDUCE: (3), (5) imply:
% 184.21/29.14  |   (6)  $false
% 184.21/29.14  | 
% 184.21/29.14  | CLOSE: (6) is inconsistent.
% 184.21/29.14  | 
% 184.21/29.14  End of proof
% 184.21/29.14  
% 184.21/29.14  Sub-proof #86 shows that the following formulas are inconsistent:
% 184.21/29.14  ----------------------------------------------------------------
% 184.21/29.14    (1)  all_54_11 = all_36_1
% 184.21/29.14    (2)  all_54_11 = e3
% 184.21/29.14    (3)   ~ (all_36_1 = e3)
% 184.21/29.14  
% 184.21/29.14  Begin of proof
% 184.21/29.14  | 
% 184.21/29.14  | COMBINE_EQS: (1), (2) imply:
% 184.21/29.14  |   (4)  all_36_1 = e3
% 184.21/29.14  | 
% 184.21/29.14  | SIMP: (4) implies:
% 184.21/29.14  |   (5)  all_36_1 = e3
% 184.21/29.14  | 
% 184.21/29.14  | REDUCE: (3), (5) imply:
% 184.21/29.14  |   (6)  $false
% 184.21/29.14  | 
% 184.21/29.14  | CLOSE: (6) is inconsistent.
% 184.21/29.14  | 
% 184.21/29.14  End of proof
% 184.21/29.14  
% 184.21/29.14  Sub-proof #87 shows that the following formulas are inconsistent:
% 184.21/29.14  ----------------------------------------------------------------
% 184.21/29.14    (1)  all_56_10 = e3
% 184.21/29.14    (2)   ~ (all_52_14 = e0)
% 184.21/29.14    (3)  op(e1, e0) = all_52_14
% 184.21/29.14    (4)   ~ (e3 = e0)
% 184.21/29.14    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.14    (6)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.21/29.14  
% 184.21/29.14  Begin of proof
% 184.21/29.14  | 
% 184.21/29.14  | BETA: splitting (6) gives:
% 184.21/29.14  | 
% 184.21/29.14  | Case 1:
% 184.21/29.14  | | 
% 184.21/29.14  | |   (7)  all_56_10 = e0 & op(e2, e0) = e0
% 184.21/29.14  | | 
% 184.21/29.14  | | REF_CLOSE: (1), (4), (7) are inconsistent by sub-proof #217.
% 184.21/29.14  | | 
% 184.21/29.14  | Case 2:
% 184.21/29.14  | | 
% 184.21/29.14  | |   (8)  all_56_11 = e0 & op(e1, e0) = e0
% 184.21/29.14  | | 
% 184.21/29.14  | | ALPHA: (8) implies:
% 184.21/29.14  | |   (9)  op(e1, e0) = e0
% 184.21/29.14  | | 
% 184.21/29.14  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #1318.
% 184.21/29.14  | | 
% 184.21/29.14  | End of split
% 184.21/29.14  | 
% 184.21/29.14  End of proof
% 184.21/29.14  
% 184.21/29.14  Sub-proof #88 shows that the following formulas are inconsistent:
% 184.21/29.14  ----------------------------------------------------------------
% 184.21/29.14    (1)  all_56_4 = e2
% 184.21/29.14    (2)  op(e2, e1) = e1
% 184.21/29.14    (3)   ~ (e3 = e1)
% 184.21/29.14    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.14    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 184.21/29.14    (6)   ~ (e3 = e2)
% 184.21/29.14  
% 184.21/29.14  Begin of proof
% 184.21/29.14  | 
% 184.21/29.14  | BETA: splitting (5) gives:
% 184.21/29.14  | 
% 184.21/29.14  | Case 1:
% 184.21/29.14  | | 
% 184.21/29.14  | |   (7)  all_56_4 = e3 & op(e3, e1) = e3
% 184.21/29.14  | | 
% 184.21/29.14  | | ALPHA: (7) implies:
% 184.21/29.14  | |   (8)  all_56_4 = e3
% 184.21/29.14  | | 
% 184.21/29.14  | | REF_CLOSE: (1), (6), (8) are inconsistent by sub-proof #1285.
% 184.21/29.14  | | 
% 184.21/29.14  | Case 2:
% 184.21/29.14  | | 
% 184.21/29.14  | |   (9)  all_56_5 = e3 & op(e2, e1) = e3
% 184.21/29.14  | | 
% 184.21/29.14  | | ALPHA: (9) implies:
% 184.21/29.14  | |   (10)  op(e2, e1) = e3
% 184.21/29.14  | | 
% 184.21/29.14  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1456.
% 184.21/29.14  | | 
% 184.21/29.14  | End of split
% 184.21/29.14  | 
% 184.21/29.14  End of proof
% 184.21/29.14  
% 184.21/29.14  Sub-proof #89 shows that the following formulas are inconsistent:
% 184.21/29.14  ----------------------------------------------------------------
% 184.21/29.14    (1)   ~ (all_57_28 = e3)
% 184.21/29.14    (2)  op(e3, e3) = all_57_28
% 184.21/29.14    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.14    (4)   ~ (all_10_2 = e3)
% 184.21/29.14    (5)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 184.21/29.14    (6)  op(e2, e2) = all_10_2
% 184.21/29.14  
% 184.21/29.14  Begin of proof
% 184.21/29.14  | 
% 184.21/29.14  | BETA: splitting (5) gives:
% 184.21/29.14  | 
% 184.21/29.14  | Case 1:
% 184.21/29.14  | | 
% 184.21/29.14  | |   (7)  all_57_28 = e3 & op(e3, e3) = e3
% 184.21/29.14  | | 
% 184.21/29.14  | | ALPHA: (7) implies:
% 184.21/29.14  | |   (8)  op(e3, e3) = e3
% 184.21/29.14  | | 
% 184.21/29.14  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1539.
% 184.21/29.14  | | 
% 184.21/29.14  | Case 2:
% 184.21/29.14  | | 
% 184.21/29.14  | |   (9)  all_57_29 = e3 & op(e2, e2) = e3
% 184.21/29.14  | | 
% 184.21/29.14  | | ALPHA: (9) implies:
% 184.21/29.14  | |   (10)  op(e2, e2) = e3
% 184.21/29.14  | | 
% 184.21/29.14  | | REF_CLOSE: (3), (4), (6), (10) are inconsistent by sub-proof #183.
% 184.21/29.14  | | 
% 184.21/29.14  | End of split
% 184.21/29.14  | 
% 184.21/29.14  End of proof
% 184.21/29.14  
% 184.21/29.14  Sub-proof #90 shows that the following formulas are inconsistent:
% 184.21/29.14  ----------------------------------------------------------------
% 184.21/29.14    (1)   ~ (e3 = e1)
% 184.21/29.14    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.14    (3)  op(e1, e3) = e1
% 184.21/29.14    (4)  op(e0, e0) = e1
% 184.21/29.14    (5)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) & op(e1, e3) =
% 184.21/29.14           all_57_22 & $i(all_57_22))
% 184.21/29.14  
% 184.21/29.14  Begin of proof
% 184.21/29.14  | 
% 184.21/29.14  | BETA: splitting (5) gives:
% 184.21/29.14  | 
% 184.21/29.14  | Case 1:
% 184.21/29.14  | | 
% 184.21/29.14  | |   (6)  all_57_31 = e3 & op(e0, e0) = e3
% 184.21/29.14  | | 
% 184.21/29.14  | | ALPHA: (6) implies:
% 184.21/29.14  | |   (7)  op(e0, e0) = e3
% 184.21/29.14  | | 
% 184.21/29.14  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #108.
% 184.21/29.14  | | 
% 184.21/29.14  | Case 2:
% 184.21/29.14  | | 
% 184.21/29.14  | |   (8)   ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 & $i(all_57_22)
% 184.21/29.14  | | 
% 184.21/29.14  | | ALPHA: (8) implies:
% 184.21/29.14  | |   (9)   ~ (all_57_22 = e1)
% 184.21/29.14  | |   (10)  op(e1, e3) = all_57_22
% 184.21/29.14  | | 
% 184.21/29.14  | | REF_CLOSE: (2), (3), (9), (10) are inconsistent by sub-proof #91.
% 184.21/29.14  | | 
% 184.21/29.14  | End of split
% 184.21/29.14  | 
% 184.21/29.14  End of proof
% 184.21/29.14  
% 184.21/29.14  Sub-proof #91 shows that the following formulas are inconsistent:
% 184.21/29.14  ----------------------------------------------------------------
% 184.21/29.14    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.14    (2)  op(e1, e3) = all_57_22
% 184.21/29.14    (3)  op(e1, e3) = e1
% 184.21/29.14    (4)   ~ (all_57_22 = e1)
% 184.21/29.14  
% 184.21/29.14  Begin of proof
% 184.21/29.14  | 
% 184.21/29.14  | GROUND_INST: instantiating (1) with e1, all_57_22, e3, e1, simplifying with
% 184.21/29.14  |              (2), (3) gives:
% 184.21/29.14  |   (5)  all_57_22 = e1
% 184.21/29.14  | 
% 184.21/29.14  | REDUCE: (4), (5) imply:
% 184.21/29.14  |   (6)  $false
% 184.21/29.14  | 
% 184.21/29.14  | CLOSE: (6) is inconsistent.
% 184.21/29.14  | 
% 184.21/29.14  End of proof
% 184.21/29.14  
% 184.21/29.14  Sub-proof #92 shows that the following formulas are inconsistent:
% 184.21/29.14  ----------------------------------------------------------------
% 184.21/29.14    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.14    (2)  op(e1, e1) = all_36_0
% 184.21/29.14    (3)  op(e1, e1) = e2
% 184.21/29.14    (4)   ~ (all_36_0 = e2)
% 184.21/29.14  
% 184.21/29.14  Begin of proof
% 184.21/29.14  | 
% 184.21/29.14  | GROUND_INST: instantiating (1) with e2, all_36_0, e1, e1, simplifying with
% 184.21/29.14  |              (2), (3) gives:
% 184.21/29.14  |   (5)  all_36_0 = e2
% 184.21/29.14  | 
% 184.21/29.14  | REDUCE: (4), (5) imply:
% 184.21/29.14  |   (6)  $false
% 184.21/29.14  | 
% 184.21/29.14  | CLOSE: (6) is inconsistent.
% 184.21/29.14  | 
% 184.21/29.14  End of proof
% 184.21/29.14  
% 184.21/29.14  Sub-proof #93 shows that the following formulas are inconsistent:
% 184.21/29.14  ----------------------------------------------------------------
% 184.21/29.14    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.14    (2)  op(e1, e0) = all_52_14
% 184.21/29.14    (3)  op(e1, e0) = e2
% 184.21/29.14    (4)   ~ (all_52_14 = e2)
% 184.21/29.14  
% 184.21/29.14  Begin of proof
% 184.21/29.14  | 
% 184.21/29.14  | GROUND_INST: instantiating (1) with all_52_14, e2, e0, e1, simplifying with
% 184.21/29.14  |              (2), (3) gives:
% 184.21/29.14  |   (5)  all_52_14 = e2
% 184.21/29.14  | 
% 184.21/29.14  | REDUCE: (4), (5) imply:
% 184.21/29.14  |   (6)  $false
% 184.21/29.14  | 
% 184.21/29.14  | CLOSE: (6) is inconsistent.
% 184.21/29.14  | 
% 184.21/29.14  End of proof
% 184.21/29.14  
% 184.21/29.14  Sub-proof #94 shows that the following formulas are inconsistent:
% 184.21/29.14  ----------------------------------------------------------------
% 184.21/29.14    (1)  all_54_9 = all_28_1
% 184.21/29.14    (2)  all_54_9 = e3
% 184.21/29.14    (3)   ~ (all_28_1 = e3)
% 184.21/29.14  
% 184.21/29.14  Begin of proof
% 184.21/29.14  | 
% 184.21/29.14  | COMBINE_EQS: (1), (2) imply:
% 184.21/29.14  |   (4)  all_28_1 = e3
% 184.21/29.14  | 
% 184.21/29.14  | SIMP: (4) implies:
% 184.21/29.14  |   (5)  all_28_1 = e3
% 184.21/29.14  | 
% 184.21/29.14  | REDUCE: (3), (5) imply:
% 184.21/29.14  |   (6)  $false
% 184.21/29.14  | 
% 184.21/29.14  | CLOSE: (6) is inconsistent.
% 184.21/29.14  | 
% 184.21/29.14  End of proof
% 184.21/29.14  
% 184.21/29.14  Sub-proof #95 shows that the following formulas are inconsistent:
% 184.21/29.14  ----------------------------------------------------------------
% 184.21/29.14    (1)   ~ (all_36_1 = e3) & op(e1, e0) = all_36_1 & $i(all_36_1)
% 184.21/29.14    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.14    (3)  op(e1, e0) = e3
% 184.21/29.14  
% 184.21/29.14  Begin of proof
% 184.21/29.14  | 
% 184.21/29.14  | ALPHA: (1) implies:
% 184.21/29.14  |   (4)   ~ (all_36_1 = e3)
% 184.21/29.14  |   (5)  op(e1, e0) = all_36_1
% 184.21/29.14  | 
% 184.21/29.14  | GROUND_INST: instantiating (2) with e3, all_36_1, e0, e1, simplifying with
% 184.21/29.14  |              (3), (5) gives:
% 184.21/29.14  |   (6)  all_36_1 = e3
% 184.21/29.14  | 
% 184.21/29.14  | REDUCE: (4), (6) imply:
% 184.21/29.14  |   (7)  $false
% 184.21/29.14  | 
% 184.21/29.14  | CLOSE: (7) is inconsistent.
% 184.21/29.14  | 
% 184.21/29.14  End of proof
% 184.21/29.14  
% 184.21/29.14  Sub-proof #96 shows that the following formulas are inconsistent:
% 184.21/29.14  ----------------------------------------------------------------
% 184.21/29.14    (1)   ~ (all_52_3 = e1)
% 184.21/29.14    (2)   ~ (all_4_2 = e0)
% 184.21/29.14    (3)   ~ (e1 = e0)
% 184.21/29.14    (4)  op(e1, e3) = all_52_2
% 184.21/29.14    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.21/29.14         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.21/29.14    (6)   ~ (e2 = e0)
% 184.21/29.14    (7)   ~ (e3 = e1)
% 184.21/29.14    (8)  all_56_12 = e2 & op(e0, e3) = e2
% 184.21/29.14    (9)  op(e2, e3) = all_52_1
% 184.21/29.14    (10)  op(e0, e3) = all_52_3
% 184.21/29.14    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.14            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.14    (12)   ~ (all_52_3 = e2)
% 184.21/29.14    (13)  all_54_12 = all_52_3
% 184.21/29.14    (14)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 184.21/29.14    (15)  op(e3, e3) = all_4_2
% 184.21/29.14    (16)   ~ (all_52_1 = all_52_3)
% 184.21/29.14    (17)   ~ (all_52_2 = e0)
% 184.21/29.14    (18)  op(e3, e3) = e3
% 184.21/29.14    (19)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.21/29.14          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.21/29.14  
% 184.21/29.14  Begin of proof
% 184.21/29.14  | 
% 184.21/29.14  | ALPHA: (8) implies:
% 184.21/29.14  |   (20)  all_56_12 = e2
% 184.21/29.14  | 
% 184.21/29.14  | BETA: splitting (19) gives:
% 184.21/29.14  | 
% 184.21/29.14  | Case 1:
% 184.21/29.14  | | 
% 184.21/29.14  | |   (21)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 184.21/29.14  | |           e0)
% 184.21/29.14  | | 
% 184.21/29.14  | | BETA: splitting (21) gives:
% 184.21/29.14  | | 
% 184.21/29.14  | | Case 1:
% 184.21/29.14  | | | 
% 184.21/29.14  | | |   (22)  all_56_0 = e0 & op(e3, e3) = e0
% 184.21/29.14  | | | 
% 184.21/29.14  | | | ALPHA: (22) implies:
% 184.21/29.14  | | |   (23)  op(e3, e3) = e0
% 184.21/29.14  | | | 
% 184.21/29.14  | | | REF_CLOSE: (2), (11), (15), (23) are inconsistent by sub-proof #1624.
% 184.21/29.14  | | | 
% 184.21/29.14  | | Case 2:
% 184.21/29.14  | | | 
% 184.21/29.14  | | |   (24)  all_56_2 = e0 & op(e2, e3) = e0
% 184.21/29.14  | | | 
% 184.21/29.14  | | | ALPHA: (24) implies:
% 184.21/29.14  | | |   (25)  all_56_2 = e0
% 184.21/29.14  | | | 
% 184.21/29.14  | | | BETA: splitting (14) gives:
% 184.21/29.14  | | | 
% 184.21/29.14  | | | Case 1:
% 184.21/29.14  | | | | 
% 184.21/29.14  | | | |   (26)  all_54_12 = e2
% 184.21/29.14  | | | | 
% 184.21/29.14  | | | | REF_CLOSE: (12), (13), (26) are inconsistent by sub-proof #709.
% 184.21/29.14  | | | | 
% 184.21/29.14  | | | Case 2:
% 184.21/29.14  | | | | 
% 184.21/29.14  | | | |   (27)   ~ (all_54_12 = e2)
% 184.21/29.14  | | | |   (28)  all_54_12 = e1 | all_54_12 = e0
% 184.21/29.14  | | | | 
% 184.21/29.14  | | | | BETA: splitting (5) gives:
% 184.21/29.14  | | | | 
% 184.21/29.14  | | | | Case 1:
% 184.21/29.14  | | | | | 
% 184.21/29.14  | | | | |   (29)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2,
% 184.21/29.14  | | | | |             e3) = e1)
% 184.21/29.14  | | | | | 
% 184.21/29.14  | | | | | REF_CLOSE: (3), (7), (11), (18), (25), (29) are inconsistent by
% 184.21/29.14  | | | | |            sub-proof #1216.
% 184.21/29.14  | | | | | 
% 184.21/29.14  | | | | Case 2:
% 184.21/29.14  | | | | | 
% 184.21/29.14  | | | | |   (30)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0,
% 184.21/29.14  | | | | |             e3) = e1)
% 184.21/29.14  | | | | | 
% 184.21/29.14  | | | | | BETA: splitting (30) gives:
% 184.21/29.14  | | | | | 
% 184.21/29.14  | | | | | Case 1:
% 184.21/29.14  | | | | | | 
% 184.21/29.14  | | | | | |   (31)  all_56_6 = e1 & op(e1, e3) = e1
% 184.21/29.14  | | | | | | 
% 184.21/29.14  | | | | | | ALPHA: (31) implies:
% 184.21/29.14  | | | | | |   (32)  op(e1, e3) = e1
% 184.21/29.14  | | | | | | 
% 184.21/29.14  | | | | | | REF_CLOSE: (1), (2), (9), (11), (12), (13), (15), (16), (19), (20),
% 184.21/29.14  | | | | | |            (28), (32) are inconsistent by sub-proof #97.
% 184.21/29.14  | | | | | | 
% 184.21/29.14  | | | | | Case 2:
% 184.21/29.14  | | | | | | 
% 184.21/29.14  | | | | | |   (33)  all_56_12 = e1 & op(e0, e3) = e1
% 184.21/29.14  | | | | | | 
% 184.21/29.14  | | | | | | REF_CLOSE: (1), (10), (11), (33) are inconsistent by sub-proof
% 184.21/29.14  | | | | | |            #1106.
% 184.21/29.14  | | | | | | 
% 184.21/29.14  | | | | | End of split
% 184.21/29.14  | | | | | 
% 184.21/29.14  | | | | End of split
% 184.21/29.14  | | | | 
% 184.21/29.14  | | | End of split
% 184.21/29.14  | | | 
% 184.21/29.14  | | End of split
% 184.21/29.14  | | 
% 184.21/29.14  | Case 2:
% 184.21/29.14  | | 
% 184.21/29.14  | |   (34)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 184.21/29.14  | |           e0)
% 184.21/29.14  | | 
% 184.21/29.14  | | BETA: splitting (34) gives:
% 184.21/29.14  | | 
% 184.21/29.14  | | Case 1:
% 184.21/29.14  | | | 
% 184.21/29.14  | | |   (35)  all_56_6 = e0 & op(e1, e3) = e0
% 184.21/29.14  | | | 
% 184.21/29.14  | | | REF_CLOSE: (4), (11), (17), (35) are inconsistent by sub-proof #1197.
% 184.21/29.14  | | | 
% 184.21/29.14  | | Case 2:
% 184.21/29.14  | | | 
% 184.21/29.14  | | |   (36)  all_56_12 = e0 & op(e0, e3) = e0
% 184.21/29.14  | | | 
% 184.21/29.14  | | | REF_CLOSE: (6), (20), (36) are inconsistent by sub-proof #1553.
% 184.21/29.14  | | | 
% 184.21/29.14  | | End of split
% 184.21/29.14  | | 
% 184.21/29.14  | End of split
% 184.21/29.14  | 
% 184.21/29.14  End of proof
% 184.21/29.14  
% 184.21/29.14  Sub-proof #97 shows that the following formulas are inconsistent:
% 184.21/29.14  ----------------------------------------------------------------
% 184.21/29.14    (1)   ~ (all_52_3 = e1)
% 184.21/29.14    (2)   ~ (all_4_2 = e0)
% 184.21/29.14    (3)  all_54_12 = e1 | all_54_12 = e0
% 184.21/29.14    (4)  op(e2, e3) = all_52_1
% 184.21/29.14    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.21/29.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.21/29.14    (6)  all_56_12 = e2
% 184.34/29.14    (7)  op(e1, e3) = e1
% 184.34/29.14    (8)   ~ (all_52_3 = e2)
% 184.34/29.14    (9)  all_54_12 = all_52_3
% 184.34/29.14    (10)  op(e3, e3) = all_4_2
% 184.34/29.14    (11)   ~ (all_52_1 = all_52_3)
% 184.34/29.14    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.34/29.14          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.34/29.14  
% 184.34/29.14  Begin of proof
% 184.34/29.14  | 
% 184.34/29.14  | BETA: splitting (3) gives:
% 184.34/29.14  | 
% 184.34/29.14  | Case 1:
% 184.34/29.14  | | 
% 184.34/29.14  | |   (13)  all_54_12 = e1
% 184.34/29.14  | | 
% 184.34/29.14  | | REF_CLOSE: (1), (9), (13) are inconsistent by sub-proof #204.
% 184.34/29.14  | | 
% 184.34/29.14  | Case 2:
% 184.34/29.14  | | 
% 184.34/29.14  | |   (14)  all_54_12 = e0
% 184.34/29.14  | | 
% 184.34/29.14  | | COMBINE_EQS: (9), (14) imply:
% 184.34/29.14  | |   (15)  all_52_3 = e0
% 184.34/29.14  | | 
% 184.34/29.14  | | SIMP: (15) implies:
% 184.34/29.14  | |   (16)  all_52_3 = e0
% 184.34/29.14  | | 
% 184.34/29.14  | | REDUCE: (11), (16) imply:
% 184.34/29.14  | |   (17)   ~ (all_52_1 = e0)
% 184.34/29.14  | | 
% 184.34/29.14  | | REDUCE: (8), (16) imply:
% 184.34/29.14  | |   (18)   ~ (e2 = e0)
% 184.34/29.14  | | 
% 184.34/29.14  | | SIMP: (18) implies:
% 184.34/29.14  | |   (19)   ~ (e2 = e0)
% 184.34/29.14  | | 
% 184.34/29.14  | | REDUCE: (1), (16) imply:
% 184.34/29.14  | |   (20)   ~ (e1 = e0)
% 184.34/29.14  | | 
% 184.34/29.14  | | SIMP: (20) implies:
% 184.34/29.14  | |   (21)   ~ (e1 = e0)
% 184.34/29.14  | | 
% 184.34/29.14  | | BETA: splitting (12) gives:
% 184.34/29.14  | | 
% 184.34/29.14  | | Case 1:
% 184.34/29.14  | | | 
% 184.34/29.14  | | |   (22)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 184.34/29.14  | | |           e0)
% 184.34/29.14  | | | 
% 184.34/29.14  | | | REF_CLOSE: (2), (4), (5), (10), (17), (22) are inconsistent by sub-proof
% 184.34/29.14  | | |            #929.
% 184.34/29.14  | | | 
% 184.34/29.14  | | Case 2:
% 184.34/29.14  | | | 
% 184.34/29.14  | | |   (23)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 184.34/29.14  | | |           e0)
% 184.34/29.14  | | | 
% 184.34/29.14  | | | REF_CLOSE: (5), (6), (7), (19), (21), (23) are inconsistent by sub-proof
% 184.34/29.14  | | |            #1250.
% 184.34/29.14  | | | 
% 184.34/29.14  | | End of split
% 184.34/29.14  | | 
% 184.34/29.14  | End of split
% 184.34/29.14  | 
% 184.34/29.14  End of proof
% 184.34/29.14  
% 184.34/29.14  Sub-proof #98 shows that the following formulas are inconsistent:
% 184.34/29.14  ----------------------------------------------------------------
% 184.34/29.14    (1)  op(e0, e3) = e3
% 184.34/29.14    (2)   ~ (all_52_3 = e1)
% 184.34/29.14    (3)   ~ (all_4_2 = e0)
% 184.34/29.14    (4)   ~ (e1 = e0)
% 184.34/29.14    (5)   ~ (e3 = e0)
% 184.34/29.14    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.34/29.14         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.34/29.14    (7)   ~ (e2 = e0)
% 184.34/29.14    (8)   ~ (e3 = e1)
% 184.34/29.14    (9)  op(e0, e3) = all_52_3
% 184.34/29.14    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.14            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.14    (11)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.34/29.14    (12)  all_56_12 = e3
% 184.34/29.14    (13)   ~ (e3 = e2)
% 184.34/29.14    (14)  op(e3, e3) = all_4_2
% 184.34/29.14    (15)  op(e3, e3) = e3
% 184.34/29.14    (16)   ~ (e2 = e1)
% 184.34/29.14    (17)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.34/29.14          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.34/29.14  
% 184.34/29.14  Begin of proof
% 184.34/29.14  | 
% 184.34/29.14  | BETA: splitting (11) gives:
% 184.34/29.14  | 
% 184.34/29.14  | Case 1:
% 184.34/29.14  | | 
% 184.34/29.14  | |   (18)  all_56_6 = e2 & op(e1, e3) = e2
% 184.34/29.14  | | 
% 184.34/29.14  | | ALPHA: (18) implies:
% 184.34/29.14  | |   (19)  all_56_6 = e2
% 184.34/29.14  | | 
% 184.34/29.14  | | BETA: splitting (6) gives:
% 184.34/29.14  | | 
% 184.34/29.14  | | Case 1:
% 184.34/29.14  | | | 
% 184.34/29.14  | | |   (20)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 184.34/29.14  | | |           e1)
% 184.34/29.14  | | | 
% 184.34/29.14  | | | REF_CLOSE: (3), (4), (5), (7), (8), (10), (12), (14), (15), (17), (19),
% 184.34/29.14  | | |            (20) are inconsistent by sub-proof #1012.
% 184.34/29.14  | | | 
% 184.34/29.14  | | Case 2:
% 184.34/29.14  | | | 
% 184.34/29.14  | | |   (21)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 184.34/29.14  | | |           e1)
% 184.34/29.14  | | | 
% 184.34/29.14  | | | BETA: splitting (21) gives:
% 184.34/29.14  | | | 
% 184.34/29.14  | | | Case 1:
% 184.34/29.14  | | | | 
% 184.34/29.14  | | | |   (22)  all_56_6 = e1 & op(e1, e3) = e1
% 184.34/29.14  | | | | 
% 184.34/29.14  | | | | REF_CLOSE: (16), (19), (22) are inconsistent by sub-proof #996.
% 184.34/29.14  | | | | 
% 184.34/29.14  | | | Case 2:
% 184.34/29.14  | | | | 
% 184.34/29.14  | | | |   (23)  all_56_12 = e1 & op(e0, e3) = e1
% 184.34/29.14  | | | | 
% 184.34/29.14  | | | | REF_CLOSE: (2), (9), (10), (23) are inconsistent by sub-proof #1106.
% 184.34/29.14  | | | | 
% 184.34/29.14  | | | End of split
% 184.34/29.14  | | | 
% 184.34/29.14  | | End of split
% 184.34/29.14  | | 
% 184.34/29.14  | Case 2:
% 184.34/29.14  | | 
% 184.34/29.14  | |   (24)  all_56_12 = e2 & op(e0, e3) = e2
% 184.34/29.14  | | 
% 184.34/29.14  | | ALPHA: (24) implies:
% 184.34/29.14  | |   (25)  op(e0, e3) = e2
% 184.34/29.14  | | 
% 184.34/29.14  | | REF_CLOSE: (1), (10), (13), (25) are inconsistent by sub-proof #1039.
% 184.34/29.14  | | 
% 184.34/29.14  | End of split
% 184.34/29.14  | 
% 184.34/29.14  End of proof
% 184.34/29.14  
% 184.34/29.14  Sub-proof #99 shows that the following formulas are inconsistent:
% 184.34/29.14  ----------------------------------------------------------------
% 184.34/29.14    (1)   ~ (all_44_1 = e3) & op(e0, e1) = all_44_1 & $i(all_44_1)
% 184.34/29.14    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.14    (3)  op(e0, e1) = e3
% 184.34/29.14  
% 184.34/29.14  Begin of proof
% 184.34/29.14  | 
% 184.34/29.14  | ALPHA: (1) implies:
% 184.34/29.14  |   (4)   ~ (all_44_1 = e3)
% 184.34/29.14  |   (5)  op(e0, e1) = all_44_1
% 184.34/29.14  | 
% 184.34/29.14  | GROUND_INST: instantiating (2) with e3, all_44_1, e1, e0, simplifying with
% 184.34/29.14  |              (3), (5) gives:
% 184.34/29.14  |   (6)  all_44_1 = e3
% 184.34/29.14  | 
% 184.34/29.14  | REDUCE: (4), (6) imply:
% 184.34/29.14  |   (7)  $false
% 184.34/29.14  | 
% 184.34/29.14  | CLOSE: (7) is inconsistent.
% 184.34/29.14  | 
% 184.34/29.14  End of proof
% 184.34/29.14  
% 184.34/29.14  Sub-proof #100 shows that the following formulas are inconsistent:
% 184.34/29.14  ----------------------------------------------------------------
% 184.34/29.14    (1)   ~ (all_52_11 = e1)
% 184.34/29.14    (2)   ~ (e1 = e0)
% 184.34/29.14    (3)  op(e0, e1) = all_52_11
% 184.34/29.14    (4)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.34/29.14    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.14    (6)  op(e1, e1) = e0
% 184.34/29.14  
% 184.34/29.14  Begin of proof
% 184.34/29.14  | 
% 184.34/29.14  | BETA: splitting (4) gives:
% 184.34/29.14  | 
% 184.34/29.14  | Case 1:
% 184.34/29.14  | | 
% 184.34/29.14  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 184.34/29.14  | | 
% 184.34/29.14  | | ALPHA: (7) implies:
% 184.34/29.14  | |   (8)  op(e1, e1) = e1
% 184.34/29.14  | | 
% 184.34/29.14  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1619.
% 184.34/29.14  | | 
% 184.34/29.14  | Case 2:
% 184.34/29.14  | | 
% 184.34/29.14  | |   (9)  all_56_14 = e1 & op(e0, e1) = e1
% 184.34/29.14  | | 
% 184.34/29.14  | | ALPHA: (9) implies:
% 184.34/29.14  | |   (10)  op(e0, e1) = e1
% 184.34/29.14  | | 
% 184.34/29.14  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1517.
% 184.34/29.14  | | 
% 184.34/29.14  | End of split
% 184.34/29.14  | 
% 184.34/29.14  End of proof
% 184.34/29.14  
% 184.34/29.14  Sub-proof #101 shows that the following formulas are inconsistent:
% 184.34/29.14  ----------------------------------------------------------------
% 184.34/29.14    (1)   ~ (e1 = e0)
% 184.34/29.14    (2)  op(e1, e0) = all_52_14
% 184.34/29.14    (3)   ~ (all_52_14 = e1)
% 184.34/29.14    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.14           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.14    (5)  op(e1, e1) = e0
% 184.34/29.14    (6)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.34/29.14  
% 184.34/29.14  Begin of proof
% 184.34/29.14  | 
% 184.34/29.14  | BETA: splitting (6) gives:
% 184.34/29.14  | 
% 184.34/29.14  | Case 1:
% 184.34/29.14  | | 
% 184.34/29.14  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 184.34/29.14  | | 
% 184.34/29.14  | | ALPHA: (7) implies:
% 184.34/29.14  | |   (8)  op(e1, e1) = e1
% 184.34/29.14  | | 
% 184.34/29.14  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1619.
% 184.34/29.14  | | 
% 184.34/29.14  | Case 2:
% 184.34/29.14  | | 
% 184.34/29.14  | |   (9)  all_56_11 = e1 & op(e1, e0) = e1
% 184.34/29.14  | | 
% 184.34/29.14  | | ALPHA: (9) implies:
% 184.34/29.14  | |   (10)  op(e1, e0) = e1
% 184.34/29.14  | | 
% 184.34/29.14  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1609.
% 184.34/29.14  | | 
% 184.34/29.14  | End of split
% 184.34/29.14  | 
% 184.34/29.14  End of proof
% 184.34/29.14  
% 184.34/29.14  Sub-proof #102 shows that the following formulas are inconsistent:
% 184.34/29.14  ----------------------------------------------------------------
% 184.34/29.14    (1)   ~ (all_52_11 = e1)
% 184.34/29.14    (2)   ~ (e1 = e0)
% 184.34/29.14    (3)   ~ (e3 = e0)
% 184.34/29.14    (4)  op(e0, e1) = all_52_11
% 184.34/29.14    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.34/29.14         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.34/29.14    (6)   ~ (all_52_6 = e0)
% 184.34/29.14    (7)   ~ (e2 = e0)
% 184.34/29.15    (8)   ~ (e3 = e1)
% 184.34/29.15    (9)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.34/29.15    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.15            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.15    (11)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 184.34/29.15          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 184.34/29.15    (12)  op(e1, e3) = e1
% 184.34/29.15    (13)   ~ (e3 = e2)
% 184.34/29.15    (14)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.34/29.15          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.34/29.15    (15)  op(e1, e2) = all_52_6
% 184.34/29.15    (16)   ~ (e2 = e1)
% 184.34/29.15    (17)  all_56_6 = e1
% 184.34/29.15  
% 184.34/29.15  Begin of proof
% 184.34/29.15  | 
% 184.34/29.15  | BETA: splitting (9) gives:
% 184.34/29.15  | 
% 184.34/29.15  | Case 1:
% 184.34/29.15  | | 
% 184.34/29.15  | |   (18)  all_56_8 = e1 & op(e1, e1) = e1
% 184.34/29.15  | | 
% 184.34/29.15  | | ALPHA: (18) implies:
% 184.34/29.15  | |   (19)  op(e1, e1) = e1
% 184.34/29.15  | | 
% 184.34/29.15  | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (10), (11), (12), (13), (14), (15),
% 184.34/29.15  | |            (16), (17), (19) are inconsistent by sub-proof #161.
% 184.34/29.15  | | 
% 184.34/29.15  | Case 2:
% 184.34/29.15  | | 
% 184.34/29.15  | |   (20)  all_56_14 = e1 & op(e0, e1) = e1
% 184.34/29.15  | | 
% 184.34/29.15  | | ALPHA: (20) implies:
% 184.34/29.15  | |   (21)  op(e0, e1) = e1
% 184.34/29.15  | | 
% 184.34/29.15  | | REF_CLOSE: (1), (4), (10), (21) are inconsistent by sub-proof #1517.
% 184.34/29.15  | | 
% 184.34/29.15  | End of split
% 184.34/29.15  | 
% 184.34/29.15  End of proof
% 184.34/29.15  
% 184.34/29.15  Sub-proof #103 shows that the following formulas are inconsistent:
% 184.34/29.15  ----------------------------------------------------------------
% 184.34/29.15    (1)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 184.34/29.15    (2)  op(e2, e1) = e2
% 184.34/29.15    (3)   ~ (e1 = e0)
% 184.34/29.15    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.15    (5)  op(e3, e1) = e0
% 184.34/29.15    (6)   ~ (e2 = e1)
% 184.34/29.15  
% 184.34/29.15  Begin of proof
% 184.34/29.15  | 
% 184.34/29.15  | BETA: splitting (1) gives:
% 184.34/29.15  | 
% 184.34/29.15  | Case 1:
% 184.34/29.15  | | 
% 184.34/29.15  | |   (7)  all_56_4 = e1 & op(e3, e1) = e1
% 184.34/29.15  | | 
% 184.34/29.15  | | ALPHA: (7) implies:
% 184.34/29.15  | |   (8)  op(e3, e1) = e1
% 184.34/29.15  | | 
% 184.34/29.15  | | REF_CLOSE: (3), (4), (5), (8) are inconsistent by sub-proof #1571.
% 184.34/29.15  | | 
% 184.34/29.15  | Case 2:
% 184.34/29.15  | | 
% 184.34/29.15  | |   (9)  all_56_5 = e1 & op(e2, e1) = e1
% 184.34/29.15  | | 
% 184.34/29.15  | | ALPHA: (9) implies:
% 184.34/29.15  | |   (10)  op(e2, e1) = e1
% 184.34/29.15  | | 
% 184.34/29.15  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1148.
% 184.34/29.15  | | 
% 184.34/29.15  | End of split
% 184.34/29.15  | 
% 184.34/29.15  End of proof
% 184.34/29.15  
% 184.34/29.15  Sub-proof #104 shows that the following formulas are inconsistent:
% 184.34/29.15  ----------------------------------------------------------------
% 184.34/29.15    (1)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2)
% 184.34/29.15    (2)   ~ (e3 = e2)
% 184.34/29.15    (3)   ~ (e2 = e1)
% 184.34/29.15    (4)  all_56_7 = e3
% 184.34/29.15    (5)  all_56_6 = e1
% 184.34/29.15  
% 184.34/29.15  Begin of proof
% 184.34/29.15  | 
% 184.34/29.15  | BETA: splitting (1) gives:
% 184.34/29.15  | 
% 184.34/29.15  | Case 1:
% 184.34/29.15  | | 
% 184.34/29.15  | |   (6)  all_56_6 = e2 & op(e1, e3) = e2
% 184.34/29.15  | | 
% 184.34/29.15  | | ALPHA: (6) implies:
% 184.34/29.15  | |   (7)  all_56_6 = e2
% 184.34/29.15  | | 
% 184.34/29.15  | | REF_CLOSE: (3), (5), (7) are inconsistent by sub-proof #1215.
% 184.34/29.15  | | 
% 184.34/29.15  | Case 2:
% 184.34/29.15  | | 
% 184.34/29.15  | |   (8)  all_56_7 = e2 & op(e1, e2) = e2
% 184.34/29.15  | | 
% 184.34/29.15  | | ALPHA: (8) implies:
% 184.34/29.15  | |   (9)  all_56_7 = e2
% 184.34/29.15  | | 
% 184.34/29.15  | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #1430.
% 184.34/29.15  | | 
% 184.34/29.15  | End of split
% 184.34/29.15  | 
% 184.34/29.15  End of proof
% 184.34/29.15  
% 184.34/29.15  Sub-proof #105 shows that the following formulas are inconsistent:
% 184.34/29.15  ----------------------------------------------------------------
% 184.34/29.15    (1)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 184.34/29.15    (2)  op(e3, e0) = all_52_12
% 184.34/29.15    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.15    (4)   ~ (all_52_12 = e1)
% 184.34/29.15    (5)  op(e3, e1) = all_52_8
% 184.34/29.15    (6)   ~ (all_52_8 = e1)
% 184.34/29.15  
% 184.34/29.15  Begin of proof
% 184.34/29.15  | 
% 184.34/29.15  | BETA: splitting (1) gives:
% 184.34/29.15  | 
% 184.34/29.15  | Case 1:
% 184.34/29.15  | | 
% 184.34/29.15  | |   (7)  all_56_4 = e1 & op(e3, e1) = e1
% 184.34/29.15  | | 
% 184.34/29.15  | | ALPHA: (7) implies:
% 184.34/29.15  | |   (8)  op(e3, e1) = e1
% 184.34/29.15  | | 
% 184.34/29.15  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1611.
% 184.34/29.15  | | 
% 184.34/29.15  | Case 2:
% 184.34/29.15  | | 
% 184.34/29.15  | |   (9)  all_56_9 = e1 & op(e3, e0) = e1
% 184.34/29.15  | | 
% 184.34/29.15  | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #121.
% 184.34/29.15  | | 
% 184.34/29.15  | End of split
% 184.34/29.15  | 
% 184.34/29.15  End of proof
% 184.34/29.15  
% 184.34/29.15  Sub-proof #106 shows that the following formulas are inconsistent:
% 184.34/29.15  ----------------------------------------------------------------
% 184.34/29.15    (1)   ~ (e3 = e0)
% 184.34/29.15    (2)  op(e3, e0) = all_52_12
% 184.34/29.15    (3)   ~ (e3 = e1)
% 184.34/29.15    (4)  op(e3, e3) = e2
% 184.34/29.15    (5)  all_56_4 = e0 & op(e3, e1) = e0
% 184.34/29.15    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.15    (7)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 184.34/29.15         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 184.34/29.15    (8)   ~ (all_52_12 = e3)
% 184.34/29.15    (9)   ~ (e3 = e2)
% 184.34/29.15    (10)  op(e3, e1) = all_52_8
% 184.34/29.15    (11)  op(e3, e2) = e1
% 184.34/29.15  
% 184.34/29.15  Begin of proof
% 184.34/29.15  | 
% 184.34/29.15  | ALPHA: (5) implies:
% 184.34/29.15  |   (12)  op(e3, e1) = e0
% 184.34/29.15  | 
% 184.34/29.15  | BETA: splitting (7) gives:
% 184.34/29.15  | 
% 184.34/29.15  | Case 1:
% 184.34/29.15  | | 
% 184.34/29.15  | |   (13)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 184.34/29.15  | |           e3)
% 184.34/29.15  | | 
% 184.34/29.15  | | REF_CLOSE: (3), (4), (6), (9), (11), (13) are inconsistent by sub-proof
% 184.34/29.15  | |            #1578.
% 184.34/29.15  | | 
% 184.34/29.15  | Case 2:
% 184.34/29.15  | | 
% 184.34/29.15  | |   (14)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 184.34/29.15  | |           e3)
% 184.34/29.15  | | 
% 184.34/29.15  | | REF_CLOSE: (1), (2), (6), (8), (10), (12), (14) are inconsistent by
% 184.34/29.15  | |            sub-proof #107.
% 184.34/29.15  | | 
% 184.34/29.15  | End of split
% 184.34/29.15  | 
% 184.34/29.15  End of proof
% 184.34/29.15  
% 184.34/29.15  Sub-proof #107 shows that the following formulas are inconsistent:
% 184.34/29.15  ----------------------------------------------------------------
% 184.34/29.15    (1)   ~ (e3 = e0)
% 184.34/29.15    (2)  op(e3, e0) = all_52_12
% 184.34/29.15    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.15    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 184.34/29.15    (5)   ~ (all_52_12 = e3)
% 184.34/29.15    (6)  op(e3, e1) = e0
% 184.34/29.15    (7)  op(e3, e1) = all_52_8
% 184.34/29.15  
% 184.34/29.15  Begin of proof
% 184.34/29.15  | 
% 184.34/29.15  | BETA: splitting (4) gives:
% 184.34/29.15  | 
% 184.34/29.15  | Case 1:
% 184.34/29.15  | | 
% 184.34/29.15  | |   (8)  all_56_4 = e3 & op(e3, e1) = e3
% 184.34/29.15  | | 
% 184.34/29.15  | | ALPHA: (8) implies:
% 184.34/29.15  | |   (9)  op(e3, e1) = e3
% 184.34/29.15  | | 
% 184.34/29.15  | | REF_CLOSE: (1), (3), (6), (7), (9) are inconsistent by sub-proof #1577.
% 184.34/29.15  | | 
% 184.34/29.15  | Case 2:
% 184.34/29.15  | | 
% 184.34/29.15  | |   (10)  all_56_9 = e3 & op(e3, e0) = e3
% 184.34/29.15  | | 
% 184.34/29.15  | | ALPHA: (10) implies:
% 184.34/29.15  | |   (11)  op(e3, e0) = e3
% 184.34/29.15  | | 
% 184.34/29.15  | | REF_CLOSE: (2), (3), (5), (11) are inconsistent by sub-proof #1615.
% 184.34/29.15  | | 
% 184.34/29.15  | End of split
% 184.34/29.15  | 
% 184.34/29.15  End of proof
% 184.34/29.15  
% 184.34/29.15  Sub-proof #108 shows that the following formulas are inconsistent:
% 184.34/29.15  ----------------------------------------------------------------
% 184.34/29.15    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.15    (2)  op(e0, e0) = e3
% 184.34/29.15    (3)  op(e0, e0) = e1
% 184.34/29.15    (4)   ~ (e3 = e1)
% 184.34/29.15  
% 184.34/29.15  Begin of proof
% 184.34/29.15  | 
% 184.34/29.15  | GROUND_INST: instantiating (1) with e1, e3, e0, e0, simplifying with (2), (3)
% 184.34/29.15  |              gives:
% 184.34/29.15  |   (5)  e3 = e1
% 184.34/29.15  | 
% 184.34/29.15  | REDUCE: (4), (5) imply:
% 184.34/29.15  |   (6)  $false
% 184.34/29.15  | 
% 184.34/29.15  | CLOSE: (6) is inconsistent.
% 184.34/29.15  | 
% 184.34/29.15  End of proof
% 184.34/29.15  
% 184.34/29.15  Sub-proof #109 shows that the following formulas are inconsistent:
% 184.34/29.15  ----------------------------------------------------------------
% 184.34/29.15    (1)  all_56_11 = e3
% 184.34/29.15    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.15    (3)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.34/29.15    (4)   ~ (e3 = e2)
% 184.34/29.15    (5)  op(e0, e0) = e1
% 184.34/29.15    (6)   ~ (e2 = e1)
% 184.34/29.15  
% 184.34/29.15  Begin of proof
% 184.34/29.15  | 
% 184.34/29.15  | BETA: splitting (3) gives:
% 184.34/29.15  | 
% 184.34/29.15  | Case 1:
% 184.34/29.15  | | 
% 184.34/29.15  | |   (7)  all_56_11 = e2 & op(e1, e0) = e2
% 184.34/29.15  | | 
% 184.34/29.15  | | ALPHA: (7) implies:
% 184.34/29.15  | |   (8)  all_56_11 = e2
% 184.34/29.15  | | 
% 184.34/29.15  | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #1482.
% 184.34/29.15  | | 
% 184.34/29.15  | Case 2:
% 184.34/29.15  | | 
% 184.34/29.15  | |   (9)  all_56_15 = e2 & op(e0, e0) = e2
% 184.34/29.15  | | 
% 184.34/29.15  | | ALPHA: (9) implies:
% 184.34/29.15  | |   (10)  op(e0, e0) = e2
% 184.34/29.15  | | 
% 184.34/29.15  | | REF_CLOSE: (2), (5), (6), (10) are inconsistent by sub-proof #110.
% 184.34/29.15  | | 
% 184.34/29.15  | End of split
% 184.34/29.15  | 
% 184.34/29.15  End of proof
% 184.34/29.15  
% 184.34/29.15  Sub-proof #110 shows that the following formulas are inconsistent:
% 184.34/29.15  ----------------------------------------------------------------
% 184.34/29.15    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.15    (2)  op(e0, e0) = e2
% 184.34/29.15    (3)  op(e0, e0) = e1
% 184.34/29.15    (4)   ~ (e2 = e1)
% 184.34/29.15  
% 184.34/29.15  Begin of proof
% 184.34/29.15  | 
% 184.34/29.15  | GROUND_INST: instantiating (1) with e1, e2, e0, e0, simplifying with (2), (3)
% 184.34/29.15  |              gives:
% 184.34/29.15  |   (5)  e2 = e1
% 184.34/29.15  | 
% 184.34/29.15  | REDUCE: (4), (5) imply:
% 184.34/29.15  |   (6)  $false
% 184.34/29.15  | 
% 184.34/29.15  | CLOSE: (6) is inconsistent.
% 184.34/29.15  | 
% 184.34/29.15  End of proof
% 184.34/29.15  
% 184.34/29.15  Sub-proof #111 shows that the following formulas are inconsistent:
% 184.34/29.15  ----------------------------------------------------------------
% 184.34/29.15    (1)   ~ (all_52_14 = e0)
% 184.34/29.15    (2)  op(e1, e0) = all_52_14
% 184.34/29.15    (3)   ~ (e3 = e0)
% 184.34/29.15    (4)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 184.34/29.15         (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 184.34/29.15           all_57_27 = e0 & op(e1, e0) = e0)
% 184.34/29.15    (5)   ~ (e2 = e0)
% 184.34/29.15    (6)  op(e3, e0) = e2
% 184.34/29.15    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.15    (8)  op(e0, e1) = e2
% 184.34/29.15    (9)  op(e0, e1) = all_57_27
% 184.34/29.15    (10)  all_57_26 = e3
% 184.34/29.15    (11)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8
% 184.34/29.15              = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 =
% 184.34/29.15              e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.34/29.15            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.34/29.15            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 184.34/29.15            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 184.34/29.15            $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 184.34/29.15            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 184.34/29.15            & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 184.34/29.15            op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.34/29.15            all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.34/29.15            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 184.34/29.15            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.34/29.15                op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 184.34/29.15                e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 184.34/29.15    (12)   ~ (e2 = e1)
% 184.34/29.15  
% 184.34/29.15  Begin of proof
% 184.34/29.15  | 
% 184.34/29.15  | BETA: splitting (4) gives:
% 184.34/29.15  | 
% 184.34/29.15  | Case 1:
% 184.34/29.15  | | 
% 184.34/29.15  | |   (13)  all_57_31 = e0
% 184.34/29.15  | | 
% 184.34/29.15  | | REF_CLOSE: (7), (8), (9), (11), (12), (13) are inconsistent by sub-proof
% 184.34/29.15  | |            #861.
% 184.34/29.15  | | 
% 184.34/29.15  | Case 2:
% 184.34/29.15  | | 
% 184.34/29.15  | |   (14)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 =
% 184.34/29.15  | |           e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 184.34/29.15  | |           all_57_27 = e0 & op(e1, e0) = e0)
% 184.34/29.15  | | 
% 184.34/29.15  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (10), (14) are inconsistent by
% 184.34/29.15  | |            sub-proof #112.
% 184.34/29.15  | | 
% 184.34/29.15  | End of split
% 184.34/29.15  | 
% 184.34/29.15  End of proof
% 184.34/29.15  
% 184.34/29.15  Sub-proof #112 shows that the following formulas are inconsistent:
% 184.34/29.15  ----------------------------------------------------------------
% 184.34/29.15    (1)   ~ (all_52_14 = e0)
% 184.34/29.15    (2)  op(e1, e0) = all_52_14
% 184.34/29.15    (3)   ~ (e3 = e0)
% 184.34/29.15    (4)   ~ (e2 = e0)
% 184.34/29.15    (5)  op(e3, e0) = e2
% 184.34/29.15    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.15    (7)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.34/29.15           all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 184.34/29.15           op(e1, e0) = e0)
% 184.34/29.15    (8)  all_57_26 = e3
% 184.34/29.15  
% 184.34/29.15  Begin of proof
% 184.34/29.15  | 
% 184.34/29.15  | BETA: splitting (7) gives:
% 184.34/29.15  | 
% 184.34/29.15  | Case 1:
% 184.34/29.15  | | 
% 184.34/29.15  | |   (9)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 184.34/29.15  | | 
% 184.34/29.15  | | ALPHA: (9) implies:
% 184.34/29.15  | |   (10)  op(e3, e0) = e0
% 184.34/29.15  | | 
% 184.34/29.15  | | REF_CLOSE: (4), (5), (6), (10) are inconsistent by sub-proof #113.
% 184.34/29.15  | | 
% 184.34/29.15  | Case 2:
% 184.34/29.15  | | 
% 184.34/29.15  | |   (11)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 =
% 184.34/29.15  | |           e0 & all_57_27 = e0 & op(e1, e0) = e0)
% 184.34/29.15  | | 
% 184.34/29.15  | | BETA: splitting (11) gives:
% 184.34/29.15  | | 
% 184.34/29.15  | | Case 1:
% 184.34/29.15  | | | 
% 184.34/29.15  | | |   (12)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 184.34/29.15  | | | 
% 184.34/29.15  | | | ALPHA: (12) implies:
% 184.34/29.15  | | |   (13)  all_57_26 = e0
% 184.34/29.15  | | | 
% 184.34/29.15  | | | COMBINE_EQS: (8), (13) imply:
% 184.34/29.15  | | |   (14)  e3 = e0
% 184.34/29.15  | | | 
% 184.34/29.15  | | | REDUCE: (3), (14) imply:
% 184.34/29.15  | | |   (15)  $false
% 184.34/29.15  | | | 
% 184.34/29.15  | | | CLOSE: (15) is inconsistent.
% 184.34/29.15  | | | 
% 184.34/29.15  | | Case 2:
% 184.34/29.15  | | | 
% 184.34/29.15  | | |   (16)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 184.34/29.15  | | | 
% 184.34/29.15  | | | ALPHA: (16) implies:
% 184.34/29.15  | | |   (17)  op(e1, e0) = e0
% 184.34/29.15  | | | 
% 184.34/29.15  | | | REF_CLOSE: (1), (2), (6), (17) are inconsistent by sub-proof #1318.
% 184.34/29.15  | | | 
% 184.34/29.15  | | End of split
% 184.34/29.15  | | 
% 184.34/29.15  | End of split
% 184.34/29.15  | 
% 184.34/29.15  End of proof
% 184.34/29.15  
% 184.34/29.15  Sub-proof #113 shows that the following formulas are inconsistent:
% 184.34/29.15  ----------------------------------------------------------------
% 184.34/29.15    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.15           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.15    (2)  op(e3, e0) = e2
% 184.34/29.15    (3)  op(e3, e0) = e0
% 184.34/29.15    (4)   ~ (e2 = e0)
% 184.34/29.15  
% 184.34/29.15  Begin of proof
% 184.34/29.15  | 
% 184.34/29.15  | GROUND_INST: instantiating (1) with e0, e2, e0, e3, simplifying with (2), (3)
% 184.34/29.15  |              gives:
% 184.34/29.15  |   (5)  e2 = e0
% 184.34/29.15  | 
% 184.34/29.15  | REDUCE: (4), (5) imply:
% 184.34/29.15  |   (6)  $false
% 184.34/29.15  | 
% 184.34/29.15  | CLOSE: (6) is inconsistent.
% 184.34/29.15  | 
% 184.34/29.15  End of proof
% 184.34/29.15  
% 184.34/29.15  Sub-proof #114 shows that the following formulas are inconsistent:
% 184.34/29.15  ----------------------------------------------------------------
% 184.34/29.15    (1)   ~ (all_52_4 = all_52_12)
% 184.34/29.15    (2)   ~ (all_52_8 = e3)
% 184.34/29.15    (3)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 184.34/29.15    (4)   ~ (all_4_2 = e0)
% 184.34/29.15    (5)   ~ (all_52_2 = e3)
% 184.34/29.15    (6)  op(e1, e1) = e3
% 184.34/29.15    (7)   ~ (e1 = e0)
% 184.34/29.15    (8)  op(e1, e0) = all_52_14
% 184.34/29.15    (9)   ~ (all_52_2 = all_52_6)
% 184.34/29.15    (10)   ~ (all_52_13 = all_52_14)
% 184.34/29.15    (11)   ~ (e3 = e0)
% 184.34/29.15    (12)  op(e2, e1) = all_52_9
% 184.34/29.15    (13)   ~ (all_52_14 = e1)
% 184.34/29.15    (14)  op(e3, e0) = all_52_12
% 184.34/29.15    (15)   ~ (all_10_2 = e0)
% 184.34/29.15    (16)  ( ~ (all_6_0 = e3) & op(e1, e1) = all_6_0 & $i(all_6_0)) | ( ~ (all_6_1
% 184.34/29.15              = e2) & op(e1, e0) = all_6_1 & $i(all_6_1))
% 184.34/29.15    (17)   ~ (all_52_12 = all_52_13)
% 184.34/29.15    (18)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 184.34/29.15    (19)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 184.34/29.15    (20)   ~ (all_52_12 = all_52_14)
% 184.34/29.15    (21)  op(e2, e3) = all_52_1
% 184.34/29.15    (22)  all_54_4 = all_52_1
% 184.34/29.15    (23)   ~ (all_52_1 = all_52_2)
% 184.34/29.15    (24)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.15            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.15    (25)   ~ (all_52_13 = e1)
% 184.34/29.15    (26)   ~ (all_52_1 = all_52_13)
% 184.34/29.15    (27)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 184.34/29.15          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 184.34/29.15            e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 & $i(all_57_24))
% 184.34/29.15    (28)  all_54_7 = all_52_13
% 184.34/29.15    (29)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 184.34/29.15              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 184.34/29.15            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.34/29.15              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.34/29.15            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 184.34/29.15            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.34/29.15            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 184.34/29.15            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.34/29.15            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 184.34/29.15            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.34/29.15              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 184.34/29.15              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.34/29.15            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.34/29.15          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 184.34/29.15              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 184.34/29.15            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.34/29.15              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.34/29.15            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 184.34/29.15            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.34/29.15            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 184.34/29.15            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.34/29.15            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.34/29.15              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.34/29.15              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 184.34/29.15            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 184.34/29.15            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.34/29.15            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 184.34/29.15            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 184.34/29.15            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 184.34/29.15            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 184.34/29.15            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.34/29.15            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 184.34/29.15            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 184.34/29.15            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 184.34/29.15              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 184.34/29.15            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 184.34/29.15            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 184.34/29.15              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 184.34/29.15            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 184.34/29.15            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 184.34/29.15            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 184.34/29.15            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.34/29.15            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 184.34/29.15              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 184.34/29.15              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 184.34/29.15            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 184.34/29.15            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 184.34/29.15              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 184.34/29.15            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 184.34/29.15            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.34/29.15            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 184.34/29.15            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.34/29.15            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 184.34/29.15                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 184.34/29.15                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 184.34/29.15                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.34/29.15                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 184.34/29.15                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.34/29.15                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.34/29.15                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.34/29.15                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.34/29.15                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.34/29.15                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.34/29.15                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 184.34/29.15                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.34/29.15                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.34/29.15                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.34/29.15                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 184.34/29.15                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 184.34/29.15    (30)  all_54_8 = all_52_2
% 184.34/29.15    (31)  all_54_11 = all_52_14
% 184.34/29.15    (32)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 184.34/29.15          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 184.34/29.15            e0) | ( ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 & $i(all_57_21))
% 184.34/29.15    (33)  op(e2, e0) = all_52_13
% 184.34/29.15    (34)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 184.34/29.15    (35)   ~ (all_52_12 = e1)
% 184.34/29.15    (36)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 184.34/29.15          | (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) = all_57_31 &
% 184.34/29.15            $i(all_57_31))
% 184.34/29.15    (37)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 184.34/29.15    (38)  op(e3, e1) = all_52_8
% 184.34/29.15    (39)  op(e3, e3) = all_4_2
% 184.34/29.15    (40)  op(e3, e2) = all_52_4
% 184.34/29.15    (41)   ~ (all_52_14 = e3)
% 184.34/29.16    (42)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 184.34/29.16          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 184.34/29.16            e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 & $i(all_57_18))
% 184.34/29.16    (43)  op(e1, e2) = all_52_6
% 184.34/29.16    (44)  op(e0, e0) = e1
% 184.34/29.16    (45)  all_54_3 = all_52_12
% 184.34/29.16    (46)   ~ (all_52_1 = all_52_9)
% 184.34/29.16    (47)   ~ (all_52_2 = all_52_14)
% 184.34/29.16    (48)  op(e2, e2) = all_10_2
% 184.34/29.16  
% 184.34/29.16  Begin of proof
% 184.34/29.16  | 
% 184.34/29.16  | BETA: splitting (16) gives:
% 184.34/29.16  | 
% 184.34/29.16  | Case 1:
% 184.34/29.16  | | 
% 184.34/29.16  | |   (49)   ~ (all_6_0 = e3) & op(e1, e1) = all_6_0 & $i(all_6_0)
% 184.34/29.16  | | 
% 184.34/29.16  | | ALPHA: (49) implies:
% 184.34/29.16  | |   (50)   ~ (all_6_0 = e3)
% 184.34/29.16  | |   (51)  op(e1, e1) = all_6_0
% 184.34/29.16  | | 
% 184.34/29.16  | | REF_CLOSE: (6), (24), (50), (51) are inconsistent by sub-proof #118.
% 184.34/29.16  | | 
% 184.34/29.16  | Case 2:
% 184.34/29.16  | | 
% 184.34/29.16  | |   (52)   ~ (all_6_1 = e2) & op(e1, e0) = all_6_1 & $i(all_6_1)
% 184.34/29.16  | | 
% 184.34/29.16  | | ALPHA: (52) implies:
% 184.34/29.16  | |   (53)   ~ (all_6_1 = e2)
% 184.34/29.16  | |   (54)  op(e1, e0) = all_6_1
% 184.34/29.16  | | 
% 184.34/29.16  | | BETA: splitting (36) gives:
% 184.34/29.16  | | 
% 184.34/29.16  | | Case 1:
% 184.34/29.16  | | | 
% 184.34/29.16  | | |   (55)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2)
% 184.34/29.16  | | |           = e0)
% 184.34/29.16  | | | 
% 184.34/29.16  | | | REF_CLOSE: (4), (15), (24), (39), (48), (55) are inconsistent by sub-proof
% 184.34/29.16  | | |            #1622.
% 184.34/29.16  | | | 
% 184.34/29.16  | | Case 2:
% 184.34/29.16  | | | 
% 184.34/29.16  | | |   (56)  (all_57_30 = e0 & op(e1, e1) = e0) | (op(e0, e0) = all_57_31 &
% 184.34/29.16  | | |           $i(all_57_31))
% 184.34/29.16  | | | 
% 184.34/29.16  | | | BETA: splitting (56) gives:
% 184.34/29.16  | | | 
% 184.34/29.16  | | | Case 1:
% 184.34/29.16  | | | | 
% 184.34/29.16  | | | |   (57)  all_57_30 = e0 & op(e1, e1) = e0
% 184.34/29.16  | | | | 
% 184.34/29.16  | | | | ALPHA: (57) implies:
% 184.34/29.16  | | | |   (58)  op(e1, e1) = e0
% 184.34/29.16  | | | | 
% 184.34/29.16  | | | | REF_CLOSE: (6), (11), (24), (58) are inconsistent by sub-proof #1252.
% 184.34/29.16  | | | | 
% 184.34/29.16  | | | Case 2:
% 184.34/29.16  | | | | 
% 184.34/29.16  | | | |   (59)  op(e0, e0) = all_57_31 & $i(all_57_31)
% 184.34/29.16  | | | | 
% 184.34/29.16  | | | | ALPHA: (59) implies:
% 184.34/29.16  | | | |   (60)  op(e0, e0) = all_57_31
% 184.34/29.16  | | | | 
% 184.34/29.16  | | | | BETA: splitting (42) gives:
% 184.34/29.16  | | | | 
% 184.34/29.16  | | | | Case 1:
% 184.34/29.16  | | | | | 
% 184.34/29.16  | | | | |   (61)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2,
% 184.34/29.16  | | | | |             e2) = e0)
% 184.34/29.16  | | | | | 
% 184.34/29.16  | | | | | REF_CLOSE: (4), (15), (24), (39), (48), (61) are inconsistent by
% 184.34/29.16  | | | | |            sub-proof #1622.
% 184.34/29.16  | | | | | 
% 184.34/29.16  | | | | Case 2:
% 184.34/29.16  | | | | | 
% 184.34/29.16  | | | | |   (62)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0,
% 184.34/29.16  | | | | |             e0) = e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18
% 184.34/29.16  | | | | |           & $i(all_57_18))
% 184.34/29.16  | | | | | 
% 184.34/29.16  | | | | | BETA: splitting (62) gives:
% 184.34/29.16  | | | | | 
% 184.34/29.16  | | | | | Case 1:
% 184.34/29.16  | | | | | | 
% 184.34/29.16  | | | | | |   (63)  all_57_30 = e0 & op(e1, e1) = e0
% 184.34/29.16  | | | | | | 
% 184.34/29.16  | | | | | | ALPHA: (63) implies:
% 184.34/29.16  | | | | | |   (64)  op(e1, e1) = e0
% 184.34/29.16  | | | | | | 
% 184.34/29.16  | | | | | | REF_CLOSE: (6), (11), (24), (64) are inconsistent by sub-proof
% 184.34/29.16  | | | | | |            #1252.
% 184.34/29.16  | | | | | | 
% 184.34/29.16  | | | | | Case 2:
% 184.34/29.16  | | | | | | 
% 184.34/29.16  | | | | | |   (65)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 184.34/29.16  | | | | | |           op(e3, e0) = all_57_18 & $i(all_57_18))
% 184.34/29.16  | | | | | | 
% 184.34/29.16  | | | | | | BETA: splitting (65) gives:
% 184.34/29.16  | | | | | | 
% 184.34/29.16  | | | | | | Case 1:
% 184.34/29.16  | | | | | | | 
% 184.34/29.16  | | | | | | |   (66)  all_57_31 = e0 & op(e0, e0) = e0
% 184.34/29.16  | | | | | | | 
% 184.34/29.16  | | | | | | | ALPHA: (66) implies:
% 184.34/29.16  | | | | | | |   (67)  op(e0, e0) = e0
% 184.34/29.16  | | | | | | | 
% 184.34/29.16  | | | | | | | REF_CLOSE: (7), (24), (44), (67) are inconsistent by sub-proof
% 184.34/29.16  | | | | | | |            #119.
% 184.34/29.16  | | | | | | | 
% 184.34/29.16  | | | | | | Case 2:
% 184.34/29.16  | | | | | | | 
% 184.34/29.16  | | | | | | |   (68)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 184.34/29.16  | | | | | | |         $i(all_57_18)
% 184.34/29.16  | | | | | | | 
% 184.34/29.16  | | | | | | | ALPHA: (68) implies:
% 184.34/29.16  | | | | | | |   (69)   ~ (all_57_18 = e3)
% 184.34/29.16  | | | | | | |   (70)  op(e3, e0) = all_57_18
% 184.34/29.16  | | | | | | | 
% 184.34/29.16  | | | | | | | BETA: splitting (32) gives:
% 184.34/29.16  | | | | | | | 
% 184.34/29.16  | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | 
% 184.34/29.16  | | | | | | | |   (71)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 &
% 184.34/29.16  | | | | | | | |           op(e2, e2) = e0)
% 184.34/29.16  | | | | | | | | 
% 184.34/29.16  | | | | | | | | REF_CLOSE: (4), (15), (24), (39), (48), (71) are inconsistent by
% 184.34/29.16  | | | | | | | |            sub-proof #1622.
% 184.34/29.16  | | | | | | | | 
% 184.34/29.16  | | | | | | | Case 2:
% 184.34/29.16  | | | | | | | | 
% 184.34/29.16  | | | | | | | |   (72)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 &
% 184.34/29.16  | | | | | | | |           op(e0, e0) = e0) | ( ~ (all_57_21 = e2) & op(e2, e0) =
% 184.34/29.16  | | | | | | | |           all_57_21 & $i(all_57_21))
% 184.34/29.16  | | | | | | | | 
% 184.34/29.16  | | | | | | | | BETA: splitting (72) gives:
% 184.34/29.16  | | | | | | | | 
% 184.34/29.16  | | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | | 
% 184.34/29.16  | | | | | | | | |   (73)  all_57_30 = e0 & op(e1, e1) = e0
% 184.34/29.16  | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | ALPHA: (73) implies:
% 184.34/29.16  | | | | | | | | |   (74)  op(e1, e1) = e0
% 184.34/29.16  | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | REF_CLOSE: (6), (11), (24), (74) are inconsistent by sub-proof
% 184.34/29.16  | | | | | | | | |            #1252.
% 184.34/29.16  | | | | | | | | | 
% 184.34/29.16  | | | | | | | | Case 2:
% 184.34/29.16  | | | | | | | | | 
% 184.34/29.16  | | | | | | | | |   (75)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~ (all_57_21 =
% 184.34/29.16  | | | | | | | | |             e2) & op(e2, e0) = all_57_21 & $i(all_57_21))
% 184.34/29.16  | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | BETA: splitting (75) gives:
% 184.34/29.16  | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | |   (76)  all_57_31 = e0 & op(e0, e0) = e0
% 184.34/29.16  | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | ALPHA: (76) implies:
% 184.34/29.16  | | | | | | | | | |   (77)  op(e0, e0) = e0
% 184.34/29.16  | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | REF_CLOSE: (7), (24), (44), (77) are inconsistent by
% 184.34/29.16  | | | | | | | | | |            sub-proof #119.
% 184.34/29.16  | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | Case 2:
% 184.34/29.16  | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | |   (78)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 184.34/29.16  | | | | | | | | | |         $i(all_57_21)
% 184.34/29.16  | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | ALPHA: (78) implies:
% 184.34/29.16  | | | | | | | | | |   (79)   ~ (all_57_21 = e2)
% 184.34/29.16  | | | | | | | | | |   (80)  op(e2, e0) = all_57_21
% 184.34/29.16  | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | BETA: splitting (27) gives:
% 184.34/29.16  | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | |   (81)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 184.34/29.16  | | | | | | | | | | |           e0 & op(e2, e2) = e0)
% 184.34/29.16  | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | REF_CLOSE: (4), (15), (24), (39), (48), (81) are inconsistent
% 184.34/29.16  | | | | | | | | | | |            by sub-proof #1622.
% 184.34/29.16  | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | Case 2:
% 184.34/29.16  | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | |   (82)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 184.34/29.16  | | | | | | | | | | |           e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 184.34/29.16  | | | | | | | | | | |           op(e1, e0) = all_57_24 & $i(all_57_24))
% 184.34/29.16  | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | BETA: splitting (82) gives:
% 184.34/29.16  | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | |   (83)  all_57_30 = e0 & op(e1, e1) = e0
% 184.34/29.16  | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | ALPHA: (83) implies:
% 184.34/29.16  | | | | | | | | | | | |   (84)  op(e1, e1) = e0
% 184.34/29.16  | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | REF_CLOSE: (6), (11), (24), (84) are inconsistent by
% 184.34/29.16  | | | | | | | | | | | |            sub-proof #1252.
% 184.34/29.16  | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | Case 2:
% 184.34/29.16  | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | |   (85)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 184.34/29.16  | | | | | | | | | | | |           (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 184.34/29.16  | | | | | | | | | | | |           $i(all_57_24))
% 184.34/29.16  | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | BETA: splitting (85) gives:
% 184.34/29.16  | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | |   (86)  all_57_31 = e0 & op(e0, e0) = e0
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | ALPHA: (86) implies:
% 184.34/29.16  | | | | | | | | | | | | |   (87)  op(e0, e0) = e0
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | REF_CLOSE: (7), (24), (44), (87) are inconsistent by
% 184.34/29.16  | | | | | | | | | | | | |            sub-proof #119.
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | Case 2:
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | |   (88)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 184.34/29.16  | | | | | | | | | | | | |         $i(all_57_24)
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | ALPHA: (88) implies:
% 184.34/29.16  | | | | | | | | | | | | |   (89)   ~ (all_57_24 = e1)
% 184.34/29.16  | | | | | | | | | | | | |   (90)  op(e1, e0) = all_57_24
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | GROUND_INST: instantiating (24) with e1, all_57_31, e0, e0,
% 184.34/29.16  | | | | | | | | | | | | |              simplifying with (44), (60) gives:
% 184.34/29.16  | | | | | | | | | | | | |   (91)  all_57_31 = e1
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_52_14, all_57_24, e0,
% 184.34/29.16  | | | | | | | | | | | | |              e1, simplifying with (8), (90) gives:
% 184.34/29.16  | | | | | | | | | | | | |   (92)  all_57_24 = all_52_14
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_6_1, all_57_24, e0,
% 184.34/29.16  | | | | | | | | | | | | |              e1, simplifying with (54), (90) gives:
% 184.34/29.16  | | | | | | | | | | | | |   (93)  all_57_24 = all_6_1
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_52_13, all_57_21, e0,
% 184.34/29.16  | | | | | | | | | | | | |              e2, simplifying with (33), (80) gives:
% 184.34/29.16  | | | | | | | | | | | | |   (94)  all_57_21 = all_52_13
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_52_12, all_57_18, e0,
% 184.34/29.16  | | | | | | | | | | | | |              e3, simplifying with (14), (70) gives:
% 184.34/29.16  | | | | | | | | | | | | |   (95)  all_57_18 = all_52_12
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | COMBINE_EQS: (92), (93) imply:
% 184.34/29.16  | | | | | | | | | | | | |   (96)  all_52_14 = all_6_1
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | COMBINE_EQS: (31), (96) imply:
% 184.34/29.16  | | | | | | | | | | | | |   (97)  all_54_11 = all_6_1
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | REDUCE: (69), (95) imply:
% 184.34/29.16  | | | | | | | | | | | | |   (98)   ~ (all_52_12 = e3)
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | REDUCE: (79), (94) imply:
% 184.34/29.16  | | | | | | | | | | | | |   (99)   ~ (all_52_13 = e2)
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | REDUCE: (47), (96) imply:
% 184.34/29.16  | | | | | | | | | | | | |   (100)   ~ (all_52_2 = all_6_1)
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | REDUCE: (20), (96) imply:
% 184.34/29.16  | | | | | | | | | | | | |   (101)   ~ (all_52_12 = all_6_1)
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | REDUCE: (10), (96) imply:
% 184.34/29.16  | | | | | | | | | | | | |   (102)   ~ (all_52_13 = all_6_1)
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | REDUCE: (41), (96) imply:
% 184.34/29.16  | | | | | | | | | | | | |   (103)   ~ (all_6_1 = e3)
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | REDUCE: (13), (96) imply:
% 184.34/29.16  | | | | | | | | | | | | |   (104)   ~ (all_6_1 = e1)
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | BETA: splitting (19) gives:
% 184.34/29.16  | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | |   (105)  all_54_11 = e3
% 184.34/29.16  | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | COMBINE_EQS: (97), (105) imply:
% 184.34/29.16  | | | | | | | | | | | | | |   (106)  all_6_1 = e3
% 184.34/29.16  | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | SIMP: (106) implies:
% 184.34/29.16  | | | | | | | | | | | | | |   (107)  all_6_1 = e3
% 184.34/29.16  | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | REDUCE: (103), (107) imply:
% 184.34/29.16  | | | | | | | | | | | | | |   (108)  $false
% 184.34/29.16  | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | CLOSE: (108) is inconsistent.
% 184.34/29.16  | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | Case 2:
% 184.34/29.16  | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | |   (109)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 184.34/29.16  | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 184.34/29.16  | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | |   (110)  all_54_11 = e2
% 184.34/29.16  | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | COMBINE_EQS: (97), (110) imply:
% 184.34/29.16  | | | | | | | | | | | | | | |   (111)  all_6_1 = e2
% 184.34/29.16  | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | SIMP: (111) implies:
% 184.34/29.16  | | | | | | | | | | | | | | |   (112)  all_6_1 = e2
% 184.34/29.16  | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | REDUCE: (53), (112) imply:
% 184.34/29.16  | | | | | | | | | | | | | | |   (113)  $false
% 184.34/29.16  | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | CLOSE: (113) is inconsistent.
% 184.34/29.16  | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | Case 2:
% 184.34/29.16  | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | |   (114)  all_54_11 = e1 | all_54_11 = e0
% 184.34/29.16  | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 184.34/29.16  | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | |   (115)  all_54_11 = e1
% 184.34/29.16  | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | COMBINE_EQS: (97), (115) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | |   (116)  all_6_1 = e1
% 184.34/29.16  | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | SIMP: (116) implies:
% 184.34/29.16  | | | | | | | | | | | | | | | |   (117)  all_6_1 = e1
% 184.34/29.16  | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | REDUCE: (104), (117) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | |   (118)  $false
% 184.34/29.16  | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | CLOSE: (118) is inconsistent.
% 184.34/29.16  | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | Case 2:
% 184.34/29.16  | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | |   (119)  all_54_11 = e0
% 184.34/29.16  | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | COMBINE_EQS: (97), (119) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | |   (120)  all_6_1 = e0
% 184.34/29.16  | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | SIMP: (120) implies:
% 184.34/29.16  | | | | | | | | | | | | | | | |   (121)  all_6_1 = e0
% 184.34/29.16  | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | COMBINE_EQS: (93), (121) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | |   (122)  all_57_24 = e0
% 184.34/29.16  | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | REDUCE: (100), (121) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | |   (123)   ~ (all_52_2 = e0)
% 184.34/29.16  | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | REDUCE: (101), (121) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | |   (124)   ~ (all_52_12 = e0)
% 184.34/29.16  | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | REDUCE: (102), (121) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | |   (125)   ~ (all_52_13 = e0)
% 184.34/29.16  | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 184.34/29.16  | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | |   (126)  all_54_3 = e3
% 184.34/29.16  | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (98), (126) are inconsistent by sub-proof
% 184.34/29.16  | | | | | | | | | | | | | | | | |            #809.
% 184.34/29.16  | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | Case 2:
% 184.34/29.16  | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | |   (127)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 184.34/29.16  | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | BETA: splitting (37) gives:
% 184.34/29.16  | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | |   (128)  all_54_7 = e3
% 184.34/29.16  | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (28), (128) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | |   (129)  all_52_13 = e3
% 184.34/29.16  | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (129) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | |   (130)  all_57_21 = e3
% 184.34/29.16  | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | REDUCE: (26), (129) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | |   (131)   ~ (all_52_1 = e3)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | BETA: splitting (127) gives:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | |   (132)  all_54_3 = e2
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (45), (132) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | |   (133)  all_52_12 = e2
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | SIMP: (133) implies:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | |   (134)  all_52_12 = e2
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (95), (134) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | |   (135)  all_57_18 = e2
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | REDUCE: (1), (134) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | |   (136)   ~ (all_52_4 = e2)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | REDUCE: (124), (134) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | |   (137)   ~ (e2 = e0)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |   (138)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |   (139)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (21), (24), (38), (131), (139) are
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #280.
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |   (140)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (17), (24), (25), (28), (37), (40), (99),
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            (125), (136), (140) are inconsistent by sub-proof
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            #173.
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |   (141)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |   (142)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (142) gives:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |   (143)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |            all_57_19) = all_57_4 & op(e2, all_57_21) =
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |          all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (143) implies:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |   (144)   ~ (all_57_7 = e0)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |   (145)  op(e1, e2) = e2
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |   (146)  op(e2, e1) = e2
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |   (147)  op(e2, e3) = all_57_19
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |   (148)  op(e2, all_57_21) = all_57_7
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (148) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |   (149)  op(e2, e3) = all_57_7
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_52_6, e2, e2, e1,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (43), (145) gives:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |   (150)  all_52_6 = e2
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_52_9, e2, e1, e2,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (12), (146) gives:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |   (151)  all_52_9 = e2
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_52_1, all_57_7, e3,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (21), (149) gives:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |   (152)  all_57_7 = all_52_1
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with all_57_19, all_57_7, e3,
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (147), (149) gives:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |   (153)  all_57_7 = all_57_19
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (152), (153) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |   (154)  all_57_19 = all_52_1
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (152) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |   (155)   ~ (all_52_1 = e0)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (151) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |   (156)   ~ (all_52_1 = e2)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (150) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | |   (157)   ~ (all_52_2 = e2)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3) gives:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | |   (158)  all_54_4 = e3
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (158) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | |   (159)  all_52_1 = e3
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (159) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | |   (160)  $false
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (160) is inconsistent.
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | |   (161)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | |   (162)  all_54_4 = e2
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (162) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | |   (163)  all_52_1 = e2
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (156), (163) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | |   (164)  $false
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (164) is inconsistent.
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | |   (165)  all_54_4 = e1 | all_54_4 = e0
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (166)  all_54_4 = e1
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (166) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (167)  all_52_1 = e1
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (167) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (168)   ~ (all_52_2 = e1)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (168) implies:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (169)   ~ (all_52_2 = e1)
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18), (30), (123), (157), (169) are
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #116.
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (170)  all_54_4 = e0
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (170) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (171)  all_52_1 = e0
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (155), (171) imply:
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | |   (172)  $false
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (172) is inconsistent.
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/29.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |   (173)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |            all_57_19) = all_57_4 & op(e2, all_57_20) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |          all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (173) implies:
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |   (174)  op(e2, e0) = e2
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (33), (99), (174) are inconsistent by
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1562.
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |   (175)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |   (176)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (176) implies:
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |   (177)   ~ (all_57_11 = e0)
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |   (178)  op(e1, all_57_24) = all_57_11
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (90), (122), (177), (178) are inconsistent
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #172.
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |   (179)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |   (180)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (180) implies:
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |   (181)   ~ (all_57_11 = e0)
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |   (182)  op(e1, all_57_24) = all_57_11
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (90), (122), (181), (182) are inconsistent
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #172.
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |   (183)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0))))
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (183) implies:
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |   (184)  op(e0, e1) = all_57_27
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |   (185)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13), (24), (33), (89), (90), (91), (125),
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            (135), (137), (184), (185) are inconsistent by
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #115.
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | End of split
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | End of split
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | Case 2:
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | |   (186)  all_54_3 = e1 | all_54_3 = e0
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (45), (124), (186) are inconsistent by
% 184.34/29.17  | | | | | | | | | | | | | | | | | | |            sub-proof #827.
% 184.34/29.17  | | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | End of split
% 184.34/29.17  | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | Case 2:
% 184.34/29.17  | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | |   (187)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 184.34/29.17  | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (28), (99), (125), (187) are inconsistent by
% 184.34/29.17  | | | | | | | | | | | | | | | | | |            sub-proof #944.
% 184.34/29.17  | | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | | End of split
% 184.34/29.17  | | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | | End of split
% 184.34/29.17  | | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | | End of split
% 184.34/29.17  | | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | | End of split
% 184.34/29.17  | | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | | End of split
% 184.34/29.17  | | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | | End of split
% 184.34/29.17  | | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | | End of split
% 184.34/29.17  | | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | | End of split
% 184.34/29.17  | | | | | | | | | | 
% 184.34/29.17  | | | | | | | | | End of split
% 184.34/29.17  | | | | | | | | | 
% 184.34/29.17  | | | | | | | | End of split
% 184.34/29.17  | | | | | | | | 
% 184.34/29.17  | | | | | | | End of split
% 184.34/29.17  | | | | | | | 
% 184.34/29.17  | | | | | | End of split
% 184.34/29.17  | | | | | | 
% 184.34/29.17  | | | | | End of split
% 184.34/29.17  | | | | | 
% 184.34/29.17  | | | | End of split
% 184.34/29.17  | | | | 
% 184.34/29.17  | | | End of split
% 184.34/29.17  | | | 
% 184.34/29.17  | | End of split
% 184.34/29.17  | | 
% 184.34/29.17  | End of split
% 184.34/29.17  | 
% 184.34/29.17  End of proof
% 184.34/29.17  
% 184.34/29.17  Sub-proof #115 shows that the following formulas are inconsistent:
% 184.34/29.17  ----------------------------------------------------------------
% 184.34/29.17    (1)  op(e1, e0) = all_52_14
% 184.34/29.17    (2)   ~ (all_52_14 = e1)
% 184.34/29.17    (3)   ~ (e2 = e0)
% 184.34/29.17    (4)  all_57_18 = e2
% 184.34/29.17    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.17    (6)  op(e2, e0) = all_52_13
% 184.34/29.17    (7)   ~ (all_57_24 = e1)
% 184.34/29.17    (8)  op(e0, e1) = all_57_27
% 184.34/29.17    (9)  op(e1, e0) = all_57_24
% 184.34/29.17    (10)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8
% 184.34/29.17              = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 =
% 184.34/29.17              e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.34/29.17            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.34/29.17            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 184.34/29.17            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 184.34/29.17            $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 184.34/29.17            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 184.34/29.17            & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 184.34/29.17            op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.34/29.17            all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.34/29.17            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 184.34/29.17            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.34/29.17                op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 184.34/29.17                e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 184.34/29.17    (11)   ~ (all_52_13 = e0)
% 184.34/29.17    (12)  all_57_31 = e1
% 184.34/29.17  
% 184.34/29.17  Begin of proof
% 184.34/29.17  | 
% 184.34/29.17  | BETA: splitting (10) gives:
% 184.34/29.17  | 
% 184.34/29.17  | Case 1:
% 184.34/29.17  | | 
% 184.34/29.17  | |   (13)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 184.34/29.17  | |         (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.34/29.17  | |         (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23)
% 184.34/29.17  | |         = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22
% 184.34/29.17  | |         & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1
% 184.34/29.17  | |         & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.34/29.17  | |         $i(all_57_23) & $i(all_57_30)
% 184.34/29.17  | | 
% 184.34/29.17  | | ALPHA: (13) implies:
% 184.34/29.17  | |   (14)  op(e1, e0) = e1
% 184.34/29.17  | | 
% 184.34/29.17  | | REF_CLOSE: (5), (7), (9), (14) are inconsistent by sub-proof #1423.
% 184.34/29.17  | | 
% 184.34/29.17  | Case 2:
% 184.34/29.17  | | 
% 184.34/29.17  | |   (15)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.34/29.17  | |         (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 184.34/29.17  | |         = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 184.34/29.17  | |         all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.34/29.17  | |           e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.34/29.17  | |         $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.34/29.17  | |         (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.34/29.17  | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 184.34/29.17  | |           (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 184.34/29.17  | | 
% 184.34/29.17  | | ALPHA: (15) implies:
% 184.34/29.17  | |   (16)   ~ (all_57_15 = e0)
% 184.34/29.17  | |   (17)  op(e0, all_57_31) = all_57_15
% 184.34/29.17  | |   (18)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0)
% 184.34/29.17  | |         | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 =
% 184.34/29.17  | |           e0 & all_57_27 = e0 & op(e1, e0) = e0)
% 184.34/29.17  | | 
% 184.34/29.17  | | REDUCE: (12), (17) imply:
% 184.34/29.17  | |   (19)  op(e0, e1) = all_57_15
% 184.34/29.17  | | 
% 184.34/29.17  | | BETA: splitting (18) gives:
% 184.34/29.17  | | 
% 184.34/29.17  | | Case 1:
% 184.34/29.17  | | | 
% 184.34/29.17  | | |   (20)  all_57_31 = e0
% 184.34/29.17  | | | 
% 184.34/29.17  | | | REF_CLOSE: (1), (2), (5), (10), (20) are inconsistent by sub-proof #1583.
% 184.34/29.17  | | | 
% 184.34/29.17  | | Case 2:
% 184.34/29.17  | | | 
% 184.34/29.17  | | |   (21)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 =
% 184.34/29.17  | | |           e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 184.34/29.17  | | |           all_57_27 = e0 & op(e1, e0) = e0)
% 184.34/29.17  | | | 
% 184.34/29.17  | | | BETA: splitting (21) gives:
% 184.34/29.17  | | | 
% 184.34/29.17  | | | Case 1:
% 184.34/29.17  | | | | 
% 184.34/29.17  | | | |   (22)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 184.34/29.17  | | | | 
% 184.34/29.17  | | | | ALPHA: (22) implies:
% 184.34/29.17  | | | |   (23)  all_57_18 = e0
% 184.34/29.17  | | | | 
% 184.34/29.17  | | | | COMBINE_EQS: (4), (23) imply:
% 184.34/29.17  | | | |   (24)  e2 = e0
% 184.34/29.17  | | | | 
% 184.34/29.17  | | | | REDUCE: (3), (24) imply:
% 184.34/29.17  | | | |   (25)  $false
% 184.34/29.17  | | | | 
% 184.34/29.17  | | | | CLOSE: (25) is inconsistent.
% 184.34/29.17  | | | | 
% 184.34/29.17  | | | Case 2:
% 184.34/29.17  | | | | 
% 184.34/29.17  | | | |   (26)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24
% 184.34/29.17  | | | |           = e0 & all_57_27 = e0 & op(e1, e0) = e0)
% 184.34/29.17  | | | | 
% 184.34/29.17  | | | | BETA: splitting (26) gives:
% 184.34/29.17  | | | | 
% 184.34/29.17  | | | | Case 1:
% 184.34/29.17  | | | | | 
% 184.34/29.17  | | | | |   (27)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 184.34/29.17  | | | | | 
% 184.34/29.17  | | | | | ALPHA: (27) implies:
% 184.34/29.17  | | | | |   (28)  op(e2, e0) = e0
% 184.34/29.17  | | | | | 
% 184.34/29.17  | | | | | REF_CLOSE: (5), (6), (11), (28) are inconsistent by sub-proof #1504.
% 184.34/29.17  | | | | | 
% 184.34/29.17  | | | | Case 2:
% 184.34/29.17  | | | | | 
% 184.34/29.17  | | | | |   (29)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 184.34/29.17  | | | | | 
% 184.34/29.17  | | | | | ALPHA: (29) implies:
% 184.34/29.17  | | | | |   (30)  all_57_27 = e0
% 184.34/29.17  | | | | | 
% 184.34/29.17  | | | | | REDUCE: (8), (30) imply:
% 184.34/29.17  | | | | |   (31)  op(e0, e1) = e0
% 184.34/29.17  | | | | | 
% 184.34/29.17  | | | | | GROUND_INST: instantiating (5) with e0, all_57_15, e1, e0, simplifying
% 184.34/29.17  | | | | |              with (19), (31) gives:
% 184.34/29.17  | | | | |   (32)  all_57_15 = e0
% 184.34/29.17  | | | | | 
% 184.34/29.17  | | | | | REDUCE: (16), (32) imply:
% 184.34/29.17  | | | | |   (33)  $false
% 184.34/29.17  | | | | | 
% 184.34/29.17  | | | | | CLOSE: (33) is inconsistent.
% 184.34/29.17  | | | | | 
% 184.34/29.17  | | | | End of split
% 184.34/29.17  | | | | 
% 184.34/29.17  | | | End of split
% 184.34/29.17  | | | 
% 184.34/29.17  | | End of split
% 184.34/29.17  | | 
% 184.34/29.17  | End of split
% 184.34/29.17  | 
% 184.34/29.17  End of proof
% 184.34/29.17  
% 184.34/29.17  Sub-proof #116 shows that the following formulas are inconsistent:
% 184.34/29.17  ----------------------------------------------------------------
% 184.34/29.17    (1)   ~ (all_52_2 = e3)
% 184.34/29.17    (2)   ~ (all_52_2 = e2)
% 184.34/29.17    (3)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 184.34/29.17    (4)  all_54_8 = all_52_2
% 184.34/29.17    (5)   ~ (all_52_2 = e0)
% 184.34/29.17    (6)   ~ (all_52_2 = e1)
% 184.34/29.17  
% 184.34/29.17  Begin of proof
% 184.34/29.17  | 
% 184.34/29.17  | BETA: splitting (3) gives:
% 184.34/29.17  | 
% 184.34/29.17  | Case 1:
% 184.34/29.17  | | 
% 184.34/29.17  | |   (7)  all_54_8 = e3
% 184.34/29.17  | | 
% 184.34/29.17  | | REF_CLOSE: (1), (4), (7) are inconsistent by sub-proof #1243.
% 184.34/29.17  | | 
% 184.34/29.17  | Case 2:
% 184.34/29.17  | | 
% 184.34/29.17  | |   (8)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 184.34/29.17  | | 
% 184.34/29.17  | | REF_CLOSE: (2), (4), (5), (6), (8) are inconsistent by sub-proof #117.
% 184.34/29.17  | | 
% 184.34/29.17  | End of split
% 184.34/29.17  | 
% 184.34/29.17  End of proof
% 184.34/29.17  
% 184.34/29.17  Sub-proof #117 shows that the following formulas are inconsistent:
% 184.34/29.17  ----------------------------------------------------------------
% 184.34/29.17    (1)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 184.34/29.17    (2)   ~ (all_52_2 = e2)
% 184.34/29.17    (3)  all_54_8 = all_52_2
% 184.34/29.17    (4)   ~ (all_52_2 = e0)
% 184.34/29.17    (5)   ~ (all_52_2 = e1)
% 184.34/29.17  
% 184.34/29.17  Begin of proof
% 184.34/29.17  | 
% 184.34/29.17  | BETA: splitting (1) gives:
% 184.34/29.17  | 
% 184.34/29.17  | Case 1:
% 184.34/29.17  | | 
% 184.34/29.17  | |   (6)  all_54_8 = e2
% 184.34/29.17  | | 
% 184.34/29.17  | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #1240.
% 184.34/29.17  | | 
% 184.34/29.17  | Case 2:
% 184.34/29.17  | | 
% 184.34/29.17  | |   (7)  all_54_8 = e1 | all_54_8 = e0
% 184.34/29.17  | | 
% 184.34/29.17  | | REF_CLOSE: (3), (4), (5), (7) are inconsistent by sub-proof #1079.
% 184.34/29.17  | | 
% 184.34/29.17  | End of split
% 184.34/29.17  | 
% 184.34/29.17  End of proof
% 184.34/29.17  
% 184.34/29.17  Sub-proof #118 shows that the following formulas are inconsistent:
% 184.34/29.17  ----------------------------------------------------------------
% 184.34/29.17    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.17    (2)  op(e1, e1) = all_6_0
% 184.34/29.17    (3)  op(e1, e1) = e3
% 184.34/29.17    (4)   ~ (all_6_0 = e3)
% 184.34/29.17  
% 184.34/29.17  Begin of proof
% 184.34/29.17  | 
% 184.34/29.17  | GROUND_INST: instantiating (1) with e3, all_6_0, e1, e1, simplifying with (2),
% 184.34/29.17  |              (3) gives:
% 184.34/29.17  |   (5)  all_6_0 = e3
% 184.34/29.17  | 
% 184.34/29.17  | REDUCE: (4), (5) imply:
% 184.34/29.17  |   (6)  $false
% 184.34/29.17  | 
% 184.34/29.17  | CLOSE: (6) is inconsistent.
% 184.34/29.17  | 
% 184.34/29.17  End of proof
% 184.34/29.17  
% 184.34/29.17  Sub-proof #119 shows that the following formulas are inconsistent:
% 184.34/29.17  ----------------------------------------------------------------
% 184.34/29.17    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.17    (2)  op(e0, e0) = e1
% 184.34/29.17    (3)  op(e0, e0) = e0
% 184.34/29.17    (4)   ~ (e1 = e0)
% 184.34/29.17  
% 184.34/29.17  Begin of proof
% 184.34/29.17  | 
% 184.34/29.17  | GROUND_INST: instantiating (1) with e1, e0, e0, e0, simplifying with (2), (3)
% 184.34/29.17  |              gives:
% 184.34/29.17  |   (5)  e1 = e0
% 184.34/29.17  | 
% 184.34/29.17  | REDUCE: (4), (5) imply:
% 184.34/29.17  |   (6)  $false
% 184.34/29.17  | 
% 184.34/29.17  | CLOSE: (6) is inconsistent.
% 184.34/29.17  | 
% 184.34/29.17  End of proof
% 184.34/29.17  
% 184.34/29.17  Sub-proof #120 shows that the following formulas are inconsistent:
% 184.34/29.17  ----------------------------------------------------------------
% 184.34/29.17    (1)  op(e1, e1) = all_14_2
% 184.34/29.17    (2)   ~ (all_14_2 = e0)
% 184.34/29.17    (3)  all_54_10 = all_14_2
% 184.34/29.17    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.17    (5)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 184.34/29.17    (6)   ~ (all_14_2 = e2)
% 184.34/29.17    (7)  op(e1, e1) = e0
% 184.34/29.17  
% 184.34/29.17  Begin of proof
% 184.34/29.17  | 
% 184.34/29.17  | BETA: splitting (5) gives:
% 184.34/29.17  | 
% 184.34/29.17  | Case 1:
% 184.34/29.17  | | 
% 184.34/29.17  | |   (8)  all_54_10 = e2
% 184.34/29.17  | | 
% 184.34/29.17  | | REF_CLOSE: (3), (6), (8) are inconsistent by sub-proof #1620.
% 184.34/29.17  | | 
% 184.34/29.17  | Case 2:
% 184.34/29.17  | | 
% 184.34/29.17  | |   (9)  all_54_10 = e1 | all_54_10 = e0
% 184.34/29.17  | | 
% 184.34/29.17  | | REF_CLOSE: (1), (2), (3), (4), (7), (9) are inconsistent by sub-proof #1617.
% 184.34/29.17  | | 
% 184.34/29.17  | End of split
% 184.34/29.17  | 
% 184.34/29.17  End of proof
% 184.34/29.17  
% 184.34/29.17  Sub-proof #121 shows that the following formulas are inconsistent:
% 184.34/29.17  ----------------------------------------------------------------
% 184.34/29.17    (1)  all_56_9 = e1 & op(e3, e0) = e1
% 184.34/29.17    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.17    (3)  op(e3, e0) = all_52_12
% 184.34/29.17    (4)   ~ (all_52_12 = e1)
% 184.34/29.17  
% 184.34/29.17  Begin of proof
% 184.34/29.17  | 
% 184.34/29.17  | ALPHA: (1) implies:
% 184.34/29.17  |   (5)  op(e3, e0) = e1
% 184.34/29.17  | 
% 184.34/29.17  | GROUND_INST: instantiating (2) with all_52_12, e1, e0, e3, simplifying with
% 184.34/29.17  |              (3), (5) gives:
% 184.34/29.17  |   (6)  all_52_12 = e1
% 184.34/29.17  | 
% 184.34/29.17  | REDUCE: (4), (6) imply:
% 184.34/29.17  |   (7)  $false
% 184.34/29.17  | 
% 184.34/29.17  | CLOSE: (7) is inconsistent.
% 184.34/29.17  | 
% 184.34/29.17  End of proof
% 184.34/29.17  
% 184.34/29.17  Sub-proof #122 shows that the following formulas are inconsistent:
% 184.34/29.17  ----------------------------------------------------------------
% 184.34/29.17    (1)   ~ (all_4_2 = e0)
% 184.34/29.17    (2)   ~ (all_52_13 = e3)
% 184.34/29.17    (3)  all_56_2 = e2
% 184.34/29.17    (4)   ~ (e3 = e0)
% 184.34/29.17    (5)  op(e2, e1) = all_52_9
% 184.34/29.17    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.17    (7)  op(e2, e0) = all_52_13
% 184.34/29.17    (8)   ~ (e3 = e2)
% 184.34/29.17    (9)  op(e3, e3) = all_4_2
% 184.34/29.17    (10)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.34/29.17          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.34/29.17    (11)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 184.34/29.17    (12)   ~ (all_52_9 = e3)
% 184.34/29.17  
% 184.34/29.17  Begin of proof
% 184.34/29.17  | 
% 184.34/29.17  | BETA: splitting (11) gives:
% 184.34/29.17  | 
% 184.34/29.17  | Case 1:
% 184.34/29.17  | | 
% 184.34/29.17  | |   (13)  all_57_28 = e0 & op(e3, e3) = e0
% 184.34/29.17  | | 
% 184.34/29.17  | | ALPHA: (13) implies:
% 184.34/29.17  | |   (14)  op(e3, e3) = e0
% 184.34/29.17  | | 
% 184.34/29.17  | | REF_CLOSE: (1), (6), (9), (14) are inconsistent by sub-proof #1624.
% 184.34/29.17  | | 
% 184.34/29.17  | Case 2:
% 184.34/29.17  | | 
% 184.34/29.17  | |   (15)  all_57_29 = e0 & op(e2, e2) = e0
% 184.34/29.17  | | 
% 184.34/29.17  | | ALPHA: (15) implies:
% 184.34/29.17  | |   (16)  op(e2, e2) = e0
% 184.34/29.17  | | 
% 184.34/29.17  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (12), (16) are
% 184.34/29.17  | |            inconsistent by sub-proof #137.
% 184.34/29.17  | | 
% 184.34/29.17  | End of split
% 184.34/29.17  | 
% 184.34/29.17  End of proof
% 184.34/29.17  
% 184.34/29.17  Sub-proof #123 shows that the following formulas are inconsistent:
% 184.34/29.17  ----------------------------------------------------------------
% 184.34/29.17    (1)  all_54_10 = all_14_2
% 184.34/29.17    (2)  all_54_10 = e1
% 184.34/29.17    (3)   ~ (all_14_2 = e1)
% 184.34/29.17  
% 184.34/29.17  Begin of proof
% 184.34/29.17  | 
% 184.34/29.17  | COMBINE_EQS: (1), (2) imply:
% 184.34/29.17  |   (4)  all_14_2 = e1
% 184.34/29.17  | 
% 184.34/29.17  | SIMP: (4) implies:
% 184.34/29.17  |   (5)  all_14_2 = e1
% 184.34/29.17  | 
% 184.34/29.17  | REDUCE: (3), (5) imply:
% 184.34/29.17  |   (6)  $false
% 184.34/29.17  | 
% 184.34/29.17  | CLOSE: (6) is inconsistent.
% 184.34/29.17  | 
% 184.34/29.17  End of proof
% 184.34/29.17  
% 184.34/29.17  Sub-proof #124 shows that the following formulas are inconsistent:
% 184.34/29.17  ----------------------------------------------------------------
% 184.34/29.17    (1)   ~ (all_52_8 = e3)
% 184.34/29.18    (2)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 184.34/29.18             e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.34/29.18           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.34/29.18             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.34/29.18           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 184.34/29.18           $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.34/29.18           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3
% 184.34/29.18           & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.34/29.18           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 184.34/29.18           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.34/29.18             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 184.34/29.18             e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.34/29.18           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.34/29.18         (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 184.34/29.18             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.34/29.18           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.34/29.18             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.34/29.18           all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 184.34/29.18           & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.34/29.18           $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2
% 184.34/29.18           & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.34/29.18           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.34/29.18             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.34/29.18             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 184.34/29.18           op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 184.34/29.18           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.34/29.18           $i(all_57_29))
% 184.34/29.18    (3)   ~ (e3 = e0)
% 184.34/29.18    (4)  op(e2, e2) = e3
% 184.34/29.18    (5)  op(e2, e3) = all_52_1
% 184.34/29.18    (6)   ~ (all_52_1 = e3)
% 184.34/29.18    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.18    (8)  op(e3, e1) = all_52_8
% 184.34/29.18    (9)  op(e0, e3) = e0
% 184.34/29.18  
% 184.34/29.18  Begin of proof
% 184.34/29.18  | 
% 184.34/29.18  | BETA: splitting (2) gives:
% 184.34/29.18  | 
% 184.34/29.18  | Case 1:
% 184.34/29.18  | | 
% 184.34/29.18  | |   (10)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~
% 184.34/29.18  | |           (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~
% 184.34/29.18  | |           (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.34/29.18  | |             all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.34/29.18  | |             e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) = all_57_17 &
% 184.34/29.18  | |           op(e3, e0) = all_57_18 & op(e2, e3) = e3 & $i(all_57_0) &
% 184.34/29.18  | |           $i(all_57_2) & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 184.34/29.18  | |           $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3 &
% 184.34/29.18  | |           all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.34/29.18  | |           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 184.34/29.18  | |           all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) =
% 184.34/29.18  | |           all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 184.34/29.18  | |           op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.34/29.18  | |           $i(all_57_0) & $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 184.34/29.18  | |           $i(all_57_18) & $i(all_57_28))
% 184.34/29.18  | | 
% 184.34/29.18  | | REF_CLOSE: (1), (5), (6), (7), (8), (10) are inconsistent by sub-proof #280.
% 184.34/29.18  | | 
% 184.34/29.18  | Case 2:
% 184.34/29.18  | | 
% 184.34/29.18  | |   (11)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~
% 184.34/29.18  | |           (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~
% 184.34/29.18  | |           (all_57_28 = e0) & op(e3, all_57_16) = all_57_1 & op(e3,
% 184.34/29.18  | |             all_57_17) = all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.34/29.18  | |             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) =
% 184.34/29.18  | |           all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3 & $i(all_57_0) &
% 184.34/29.18  | |           $i(all_57_1) & $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.34/29.18  | |           $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2 &
% 184.34/29.18  | |           all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.34/29.18  | |           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.34/29.18  | |             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.34/29.18  | |             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29
% 184.34/29.18  | |           & op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 184.34/29.18  | |           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.34/29.18  | |           $i(all_57_29))
% 184.34/29.18  | | 
% 184.34/29.18  | | BETA: splitting (11) gives:
% 184.34/29.18  | | 
% 184.34/29.18  | | Case 1:
% 184.34/29.18  | | | 
% 184.34/29.18  | | |   (12)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~
% 184.34/29.18  | | |         (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~
% 184.34/29.18  | | |         (all_57_28 = e0) & op(e3, all_57_16) = all_57_1 & op(e3,
% 184.34/29.18  | | |           all_57_17) = all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.34/29.18  | | |           e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) =
% 184.34/29.18  | | |         all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3 & $i(all_57_0) &
% 184.34/29.18  | | |         $i(all_57_1) & $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.34/29.18  | | |         $i(all_57_28)
% 184.34/29.18  | | | 
% 184.34/29.18  | | | ALPHA: (12) implies:
% 184.34/29.18  | | |   (13)  op(e0, e3) = e3
% 184.34/29.18  | | | 
% 184.34/29.18  | | | REF_CLOSE: (3), (7), (9), (13) are inconsistent by sub-proof #125.
% 184.34/29.18  | | | 
% 184.34/29.18  | | Case 2:
% 184.34/29.18  | | | 
% 184.34/29.18  | | |   (14)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~
% 184.34/29.18  | | |         (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~
% 184.34/29.18  | | |         (all_57_29 = e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6
% 184.34/29.18  | | |         & op(e2, all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.34/29.18  | | |         op(e2, e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20
% 184.34/29.18  | | |         & op(e2, e0) = all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 184.34/29.18  | | |         $i(all_57_7) & $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 184.34/29.18  | | | 
% 184.34/29.18  | | | ALPHA: (14) implies:
% 184.34/29.18  | | |   (15)   ~ (all_57_29 = e3)
% 184.34/29.18  | | |   (16)  op(e2, e2) = all_57_29
% 184.34/29.18  | | | 
% 184.34/29.18  | | | REF_CLOSE: (4), (7), (15), (16) are inconsistent by sub-proof #130.
% 184.34/29.18  | | | 
% 184.34/29.18  | | End of split
% 184.34/29.18  | | 
% 184.34/29.18  | End of split
% 184.34/29.18  | 
% 184.34/29.18  End of proof
% 184.34/29.18  
% 184.34/29.18  Sub-proof #125 shows that the following formulas are inconsistent:
% 184.34/29.18  ----------------------------------------------------------------
% 184.34/29.18    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.18    (2)  op(e0, e3) = e3
% 184.34/29.18    (3)  op(e0, e3) = e0
% 184.34/29.18    (4)   ~ (e3 = e0)
% 184.34/29.18  
% 184.34/29.18  Begin of proof
% 184.34/29.18  | 
% 184.34/29.18  | GROUND_INST: instantiating (1) with e0, e3, e3, e0, simplifying with (2), (3)
% 184.34/29.18  |              gives:
% 184.34/29.18  |   (5)  e3 = e0
% 184.34/29.18  | 
% 184.34/29.18  | REDUCE: (4), (5) imply:
% 184.34/29.18  |   (6)  $false
% 184.34/29.18  | 
% 184.34/29.18  | CLOSE: (6) is inconsistent.
% 184.34/29.18  | 
% 184.34/29.18  End of proof
% 184.34/29.18  
% 184.34/29.18  Sub-proof #126 shows that the following formulas are inconsistent:
% 184.34/29.18  ----------------------------------------------------------------
% 184.34/29.18    (1)  op(e0, e1) = all_52_11
% 184.34/29.18    (2)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 & $i(all_57_27)
% 184.34/29.18    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.18    (4)  op(e0, e1) = e3
% 184.34/29.18    (5)   ~ (all_44_1 = e3)
% 184.34/29.18    (6)  op(e0, e1) = all_44_1
% 184.34/29.18  
% 184.34/29.18  Begin of proof
% 184.34/29.18  | 
% 184.34/29.18  | ALPHA: (2) implies:
% 184.34/29.18  |   (7)  op(e0, e1) = all_57_27
% 184.34/29.18  | 
% 184.34/29.18  | GROUND_INST: instantiating (3) with all_52_11, e3, e1, e0, simplifying with
% 184.34/29.18  |              (1), (4) gives:
% 184.34/29.18  |   (8)  all_52_11 = e3
% 184.34/29.18  | 
% 184.34/29.18  | GROUND_INST: instantiating (3) with all_52_11, all_57_27, e1, e0, simplifying
% 184.34/29.18  |              with (1), (7) gives:
% 184.34/29.18  |   (9)  all_57_27 = all_52_11
% 184.34/29.18  | 
% 184.34/29.18  | GROUND_INST: instantiating (3) with all_44_1, all_57_27, e1, e0, simplifying
% 184.34/29.18  |              with (6), (7) gives:
% 184.34/29.18  |   (10)  all_57_27 = all_44_1
% 184.34/29.18  | 
% 184.34/29.18  | COMBINE_EQS: (9), (10) imply:
% 184.34/29.18  |   (11)  all_52_11 = all_44_1
% 184.34/29.18  | 
% 184.34/29.18  | SIMP: (11) implies:
% 184.34/29.18  |   (12)  all_52_11 = all_44_1
% 184.34/29.18  | 
% 184.34/29.18  | COMBINE_EQS: (8), (12) imply:
% 184.34/29.18  |   (13)  all_44_1 = e3
% 184.34/29.18  | 
% 184.34/29.18  | SIMP: (13) implies:
% 184.34/29.18  |   (14)  all_44_1 = e3
% 184.34/29.18  | 
% 184.34/29.18  | REDUCE: (5), (14) imply:
% 184.34/29.18  |   (15)  $false
% 184.34/29.18  | 
% 184.34/29.18  | CLOSE: (15) is inconsistent.
% 184.34/29.18  | 
% 184.34/29.18  End of proof
% 184.34/29.18  
% 184.34/29.18  Sub-proof #127 shows that the following formulas are inconsistent:
% 184.34/29.18  ----------------------------------------------------------------
% 184.34/29.18    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 184.34/29.18    (2)  op(e2, e2) = e3
% 184.34/29.18    (3)   ~ (e2 = e0)
% 184.34/29.18    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.18    (5)  op(e3, e2) = e0
% 184.34/29.18    (6)   ~ (e3 = e2)
% 184.34/29.18  
% 184.34/29.18  Begin of proof
% 184.34/29.18  | 
% 184.34/29.18  | BETA: splitting (1) gives:
% 184.34/29.18  | 
% 184.34/29.18  | Case 1:
% 184.34/29.18  | | 
% 184.34/29.18  | |   (7)  all_56_1 = e2 & op(e3, e2) = e2
% 184.34/29.18  | | 
% 184.34/29.18  | | ALPHA: (7) implies:
% 184.34/29.18  | |   (8)  op(e3, e2) = e2
% 184.34/29.18  | | 
% 184.34/29.18  | | REF_CLOSE: (3), (4), (5), (8) are inconsistent by sub-proof #190.
% 184.34/29.18  | | 
% 184.34/29.18  | Case 2:
% 184.34/29.18  | | 
% 184.34/29.18  | |   (9)  all_56_3 = e2 & op(e2, e2) = e2
% 184.34/29.18  | | 
% 184.34/29.18  | | ALPHA: (9) implies:
% 184.34/29.18  | |   (10)  op(e2, e2) = e2
% 184.34/29.18  | | 
% 184.34/29.18  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1602.
% 184.34/29.18  | | 
% 184.34/29.18  | End of split
% 184.34/29.18  | 
% 184.34/29.18  End of proof
% 184.34/29.18  
% 184.34/29.18  Sub-proof #128 shows that the following formulas are inconsistent:
% 184.34/29.18  ----------------------------------------------------------------
% 184.34/29.18    (1)  op(e2, e0) = all_57_21
% 184.34/29.18    (2)  all_56_10 = e1 & op(e2, e0) = e1
% 184.34/29.18    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.18    (4)  op(e2, e0) = all_8_1
% 184.34/29.18    (5)   ~ (all_8_1 = e1)
% 184.34/29.18  
% 184.34/29.18  Begin of proof
% 184.34/29.18  | 
% 184.34/29.18  | ALPHA: (2) implies:
% 184.34/29.18  |   (6)  op(e2, e0) = e1
% 184.34/29.18  | 
% 184.34/29.18  | GROUND_INST: instantiating (3) with all_8_1, all_57_21, e0, e2, simplifying
% 184.34/29.18  |              with (1), (4) gives:
% 184.34/29.18  |   (7)  all_57_21 = all_8_1
% 184.34/29.18  | 
% 184.34/29.18  | GROUND_INST: instantiating (3) with e1, all_57_21, e0, e2, simplifying with
% 184.34/29.18  |              (1), (6) gives:
% 184.34/29.18  |   (8)  all_57_21 = e1
% 184.34/29.18  | 
% 184.34/29.18  | COMBINE_EQS: (7), (8) imply:
% 184.34/29.18  |   (9)  all_8_1 = e1
% 184.34/29.18  | 
% 184.34/29.18  | SIMP: (9) implies:
% 184.34/29.18  |   (10)  all_8_1 = e1
% 184.34/29.18  | 
% 184.34/29.18  | REDUCE: (5), (10) imply:
% 184.34/29.18  |   (11)  $false
% 184.34/29.18  | 
% 184.34/29.18  | CLOSE: (11) is inconsistent.
% 184.34/29.18  | 
% 184.34/29.18  End of proof
% 184.34/29.18  
% 184.34/29.18  Sub-proof #129 shows that the following formulas are inconsistent:
% 184.34/29.18  ----------------------------------------------------------------
% 184.34/29.18    (1)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 184.34/29.18    (2)  op(e2, e0) = all_57_21
% 184.34/29.18    (3)   ~ (all_52_1 = e2)
% 184.34/29.18    (4)  all_54_4 = all_52_1
% 184.34/29.18    (5)   ~ (all_52_1 = e3)
% 184.34/29.18    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.18    (7)  op(e2, all_57_21) = all_57_7
% 184.34/29.18    (8)   ~ (all_52_1 = e0)
% 184.34/29.18    (9)   ~ (all_57_7 = e0)
% 184.34/29.18    (10)  op(e2, e0) = e0
% 184.34/29.18  
% 184.34/29.18  Begin of proof
% 184.34/29.18  | 
% 184.34/29.18  | BETA: splitting (1) gives:
% 184.34/29.18  | 
% 184.34/29.18  | Case 1:
% 184.34/29.18  | | 
% 184.34/29.18  | |   (11)  all_54_4 = e3
% 184.34/29.18  | | 
% 184.34/29.18  | | REF_CLOSE: (4), (5), (11) are inconsistent by sub-proof #1078.
% 184.34/29.18  | | 
% 184.34/29.18  | Case 2:
% 184.34/29.18  | | 
% 184.34/29.18  | |   (12)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 184.34/29.18  | | 
% 184.34/29.18  | | BETA: splitting (12) gives:
% 184.34/29.18  | | 
% 184.34/29.18  | | Case 1:
% 184.34/29.18  | | | 
% 184.34/29.18  | | |   (13)  all_54_4 = e2
% 184.34/29.18  | | | 
% 184.34/29.18  | | | REF_CLOSE: (3), (4), (13) are inconsistent by sub-proof #1084.
% 184.34/29.18  | | | 
% 184.34/29.18  | | Case 2:
% 184.34/29.18  | | | 
% 184.34/29.18  | | |   (14)  all_54_4 = e1 | all_54_4 = e0
% 184.34/29.18  | | | 
% 184.34/29.18  | | | BETA: splitting (14) gives:
% 184.34/29.18  | | | 
% 184.34/29.18  | | | Case 1:
% 184.34/29.18  | | | | 
% 184.34/29.18  | | | | 
% 184.34/29.18  | | | | GROUND_INST: instantiating (6) with e0, all_57_21, e0, e2, simplifying
% 184.34/29.18  | | | |              with (2), (10) gives:
% 184.34/29.18  | | | |   (15)  all_57_21 = e0
% 184.34/29.18  | | | | 
% 184.34/29.18  | | | | REF_CLOSE: (2), (6), (7), (9), (15) are inconsistent by sub-proof #214.
% 184.34/29.18  | | | | 
% 184.34/29.18  | | | Case 2:
% 184.34/29.18  | | | | 
% 184.34/29.18  | | | |   (16)  all_54_4 = e0
% 184.34/29.18  | | | | 
% 184.34/29.18  | | | | REF_CLOSE: (4), (8), (16) are inconsistent by sub-proof #924.
% 184.34/29.18  | | | | 
% 184.34/29.18  | | | End of split
% 184.34/29.18  | | | 
% 184.34/29.18  | | End of split
% 184.34/29.18  | | 
% 184.34/29.18  | End of split
% 184.34/29.18  | 
% 184.34/29.18  End of proof
% 184.34/29.18  
% 184.34/29.18  Sub-proof #130 shows that the following formulas are inconsistent:
% 184.34/29.18  ----------------------------------------------------------------
% 184.34/29.18    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.18    (2)  op(e2, e2) = all_57_29
% 184.34/29.18    (3)  op(e2, e2) = e3
% 184.34/29.18    (4)   ~ (all_57_29 = e3)
% 184.34/29.18  
% 184.34/29.18  Begin of proof
% 184.34/29.18  | 
% 184.34/29.18  | GROUND_INST: instantiating (1) with e3, all_57_29, e2, e2, simplifying with
% 184.34/29.18  |              (2), (3) gives:
% 184.34/29.18  |   (5)  all_57_29 = e3
% 184.34/29.18  | 
% 184.34/29.18  | REDUCE: (4), (5) imply:
% 184.34/29.18  |   (6)  $false
% 184.34/29.18  | 
% 184.34/29.18  | CLOSE: (6) is inconsistent.
% 184.34/29.18  | 
% 184.34/29.18  End of proof
% 184.34/29.18  
% 184.34/29.18  Sub-proof #131 shows that the following formulas are inconsistent:
% 184.34/29.18  ----------------------------------------------------------------
% 184.34/29.18    (1)  all_54_7 = all_8_1
% 184.34/29.18    (2)  all_54_7 = e1
% 184.34/29.18    (3)   ~ (all_8_1 = e1)
% 184.34/29.18  
% 184.34/29.18  Begin of proof
% 184.34/29.18  | 
% 184.34/29.18  | COMBINE_EQS: (1), (2) imply:
% 184.34/29.18  |   (4)  all_8_1 = e1
% 184.34/29.18  | 
% 184.34/29.18  | SIMP: (4) implies:
% 184.34/29.18  |   (5)  all_8_1 = e1
% 184.34/29.18  | 
% 184.34/29.18  | REDUCE: (3), (5) imply:
% 184.34/29.18  |   (6)  $false
% 184.34/29.18  | 
% 184.34/29.18  | CLOSE: (6) is inconsistent.
% 184.34/29.18  | 
% 184.34/29.18  End of proof
% 184.34/29.18  
% 184.34/29.18  Sub-proof #132 shows that the following formulas are inconsistent:
% 184.34/29.18  ----------------------------------------------------------------
% 184.34/29.18    (1)  all_54_7 = all_8_1
% 184.34/29.18    (2)  all_54_7 = e2
% 184.34/29.18    (3)   ~ (all_8_1 = e2)
% 184.34/29.18  
% 184.34/29.18  Begin of proof
% 184.34/29.18  | 
% 184.34/29.18  | COMBINE_EQS: (1), (2) imply:
% 184.34/29.18  |   (4)  all_8_1 = e2
% 184.34/29.18  | 
% 184.34/29.18  | SIMP: (4) implies:
% 184.34/29.18  |   (5)  all_8_1 = e2
% 184.34/29.18  | 
% 184.34/29.18  | REDUCE: (3), (5) imply:
% 184.34/29.18  |   (6)  $false
% 184.34/29.18  | 
% 184.34/29.18  | CLOSE: (6) is inconsistent.
% 184.34/29.18  | 
% 184.34/29.18  End of proof
% 184.34/29.18  
% 184.34/29.18  Sub-proof #133 shows that the following formulas are inconsistent:
% 184.34/29.18  ----------------------------------------------------------------
% 184.34/29.18    (1)  all_54_7 = all_8_1
% 184.34/29.18    (2)  all_54_7 = e3
% 184.34/29.18    (3)   ~ (all_8_1 = e3)
% 184.34/29.18  
% 184.34/29.18  Begin of proof
% 184.34/29.18  | 
% 184.34/29.18  | COMBINE_EQS: (1), (2) imply:
% 184.34/29.18  |   (4)  all_8_1 = e3
% 184.34/29.18  | 
% 184.34/29.18  | SIMP: (4) implies:
% 184.34/29.18  |   (5)  all_8_1 = e3
% 184.34/29.18  | 
% 184.34/29.18  | REDUCE: (3), (5) imply:
% 184.34/29.18  |   (6)  $false
% 184.34/29.18  | 
% 184.34/29.18  | CLOSE: (6) is inconsistent.
% 184.34/29.18  | 
% 184.34/29.18  End of proof
% 184.34/29.18  
% 184.34/29.18  Sub-proof #134 shows that the following formulas are inconsistent:
% 184.34/29.18  ----------------------------------------------------------------
% 184.34/29.18    (1)   ~ (e1 = e0)
% 184.34/29.18    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 184.34/29.18    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.18    (4)   ~ (e2 = e1)
% 184.34/29.18    (5)  op(e3, e2) = e2
% 184.34/29.18    (6)  op(e2, e2) = e0
% 184.34/29.18  
% 184.34/29.18  Begin of proof
% 184.34/29.18  | 
% 184.34/29.18  | BETA: splitting (2) gives:
% 184.34/29.18  | 
% 184.34/29.18  | Case 1:
% 184.34/29.18  | | 
% 184.34/29.18  | |   (7)  all_56_1 = e1 & op(e3, e2) = e1
% 184.34/29.18  | | 
% 184.34/29.18  | | ALPHA: (7) implies:
% 184.34/29.18  | |   (8)  op(e3, e2) = e1
% 184.34/29.18  | | 
% 184.34/29.18  | | REF_CLOSE: (3), (4), (5), (8) are inconsistent by sub-proof #1424.
% 184.34/29.18  | | 
% 184.34/29.18  | Case 2:
% 184.34/29.18  | | 
% 184.34/29.18  | |   (9)  all_56_3 = e1 & op(e2, e2) = e1
% 184.34/29.18  | | 
% 184.34/29.18  | | ALPHA: (9) implies:
% 184.34/29.18  | |   (10)  op(e2, e2) = e1
% 184.34/29.18  | | 
% 184.34/29.18  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1310.
% 184.34/29.18  | | 
% 184.34/29.18  | End of split
% 184.34/29.18  | 
% 184.34/29.18  End of proof
% 184.34/29.18  
% 184.34/29.18  Sub-proof #135 shows that the following formulas are inconsistent:
% 184.34/29.18  ----------------------------------------------------------------
% 184.34/29.18    (1)   ~ (e1 = e0)
% 184.34/29.18    (2)   ~ (e3 = e1)
% 184.34/29.18    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.18    (4)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 184.34/29.18    (5)  op(e3, e3) = e3
% 184.34/29.18    (6)  op(e2, e2) = e0
% 184.34/29.18  
% 184.34/29.18  Begin of proof
% 184.34/29.18  | 
% 184.34/29.18  | BETA: splitting (4) gives:
% 184.34/29.18  | 
% 184.34/29.18  | Case 1:
% 184.34/29.18  | | 
% 184.34/29.18  | |   (7)  all_57_28 = e1 & op(e3, e3) = e1
% 184.34/29.18  | | 
% 184.34/29.18  | | ALPHA: (7) implies:
% 184.34/29.18  | |   (8)  op(e3, e3) = e1
% 184.34/29.18  | | 
% 184.34/29.18  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1600.
% 184.34/29.18  | | 
% 184.34/29.18  | Case 2:
% 184.34/29.18  | | 
% 184.34/29.18  | |   (9)  all_57_29 = e1 & op(e2, e2) = e1
% 184.34/29.18  | | 
% 184.34/29.18  | | ALPHA: (9) implies:
% 184.34/29.18  | |   (10)  op(e2, e2) = e1
% 184.34/29.18  | | 
% 184.34/29.18  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1310.
% 184.34/29.18  | | 
% 184.34/29.18  | End of split
% 184.34/29.18  | 
% 184.34/29.18  End of proof
% 184.34/29.18  
% 184.34/29.18  Sub-proof #136 shows that the following formulas are inconsistent:
% 184.34/29.18  ----------------------------------------------------------------
% 184.34/29.18    (1)  all_54_6 = all_14_1
% 184.34/29.18    (2)  all_54_6 = e0
% 184.34/29.18    (3)   ~ (all_14_1 = e0)
% 184.34/29.18  
% 184.34/29.18  Begin of proof
% 184.34/29.18  | 
% 184.34/29.18  | COMBINE_EQS: (1), (2) imply:
% 184.34/29.18  |   (4)  all_14_1 = e0
% 184.34/29.18  | 
% 184.34/29.18  | SIMP: (4) implies:
% 184.34/29.18  |   (5)  all_14_1 = e0
% 184.34/29.18  | 
% 184.34/29.18  | REDUCE: (3), (5) imply:
% 184.34/29.18  |   (6)  $false
% 184.34/29.18  | 
% 184.34/29.18  | CLOSE: (6) is inconsistent.
% 184.34/29.18  | 
% 184.34/29.18  End of proof
% 184.34/29.18  
% 184.34/29.18  Sub-proof #137 shows that the following formulas are inconsistent:
% 184.34/29.18  ----------------------------------------------------------------
% 184.34/29.18    (1)   ~ (all_52_13 = e3)
% 184.34/29.18    (2)  all_56_2 = e2
% 184.34/29.18    (3)   ~ (e3 = e0)
% 184.34/29.18    (4)  op(e2, e1) = all_52_9
% 184.34/29.18    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.18    (6)  op(e2, e0) = all_52_13
% 184.34/29.18    (7)   ~ (e3 = e2)
% 184.34/29.18    (8)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.34/29.18         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.34/29.18    (9)   ~ (all_52_9 = e3)
% 184.34/29.18    (10)  op(e2, e2) = e0
% 184.34/29.18  
% 184.34/29.18  Begin of proof
% 184.34/29.18  | 
% 184.34/29.18  | BETA: splitting (8) gives:
% 184.34/29.18  | 
% 184.34/29.18  | Case 1:
% 184.34/29.18  | | 
% 184.34/29.18  | |   (11)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 184.34/29.18  | |           e3)
% 184.34/29.18  | | 
% 184.34/29.18  | | REF_CLOSE: (2), (3), (5), (7), (10), (11) are inconsistent by sub-proof
% 184.34/29.18  | |            #478.
% 184.34/29.18  | | 
% 184.34/29.18  | Case 2:
% 184.34/29.18  | | 
% 184.34/29.18  | |   (12)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 184.34/29.18  | |           e3)
% 184.34/29.18  | | 
% 184.34/29.18  | | REF_CLOSE: (1), (4), (5), (6), (9), (12) are inconsistent by sub-proof #138.
% 184.34/29.18  | | 
% 184.34/29.18  | End of split
% 184.34/29.18  | 
% 184.34/29.18  End of proof
% 184.34/29.18  
% 184.34/29.18  Sub-proof #138 shows that the following formulas are inconsistent:
% 184.34/29.18  ----------------------------------------------------------------
% 184.34/29.18    (1)   ~ (all_52_13 = e3)
% 184.34/29.18    (2)  op(e2, e1) = all_52_9
% 184.34/29.18    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.18    (4)  op(e2, e0) = all_52_13
% 184.34/29.18    (5)   ~ (all_52_9 = e3)
% 184.34/29.18    (6)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.34/29.18  
% 184.34/29.18  Begin of proof
% 184.34/29.18  | 
% 184.34/29.18  | BETA: splitting (6) gives:
% 184.34/29.18  | 
% 184.34/29.18  | Case 1:
% 184.34/29.18  | | 
% 184.34/29.18  | |   (7)  all_56_5 = e3 & op(e2, e1) = e3
% 184.34/29.18  | | 
% 184.34/29.18  | | ALPHA: (7) implies:
% 184.34/29.18  | |   (8)  op(e2, e1) = e3
% 184.34/29.18  | | 
% 184.34/29.18  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1449.
% 184.34/29.18  | | 
% 184.34/29.18  | Case 2:
% 184.34/29.18  | | 
% 184.34/29.18  | |   (9)  all_56_10 = e3 & op(e2, e0) = e3
% 184.34/29.18  | | 
% 184.34/29.18  | | REF_CLOSE: (1), (3), (4), (9) are inconsistent by sub-proof #209.
% 184.34/29.18  | | 
% 184.34/29.18  | End of split
% 184.34/29.18  | 
% 184.34/29.18  End of proof
% 184.34/29.18  
% 184.34/29.18  Sub-proof #139 shows that the following formulas are inconsistent:
% 184.34/29.18  ----------------------------------------------------------------
% 184.34/29.18    (1)   ~ (all_52_4 = all_52_12)
% 184.34/29.18    (2)   ~ (e3 = e0)
% 184.34/29.18    (3)  op(e3, e0) = all_52_12
% 184.34/29.18    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.18    (5)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 184.34/29.18    (6)  op(e3, e2) = all_52_4
% 184.34/29.18    (7)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 184.34/29.18    (8)  op(e3, e0) = e3
% 184.34/29.18    (9)  all_54_3 = all_52_12
% 184.34/29.18    (10)  op(e2, e2) = e0
% 184.34/29.18  
% 184.34/29.18  Begin of proof
% 184.34/29.18  | 
% 184.34/29.18  | BETA: splitting (7) gives:
% 184.34/29.18  | 
% 184.34/29.18  | Case 1:
% 184.34/29.18  | | 
% 184.34/29.18  | |   (11)  all_56_1 = e3 & op(e3, e2) = e3
% 184.34/29.18  | | 
% 184.34/29.18  | | ALPHA: (11) implies:
% 184.34/29.18  | |   (12)  op(e3, e2) = e3
% 184.34/29.18  | | 
% 184.34/29.18  | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (12) are inconsistent by
% 184.34/29.18  | |            sub-proof #1089.
% 184.34/29.18  | | 
% 184.34/29.18  | Case 2:
% 184.34/29.18  | | 
% 184.34/29.18  | |   (13)  all_56_3 = e3 & op(e2, e2) = e3
% 184.34/29.18  | | 
% 184.34/29.18  | | ALPHA: (13) implies:
% 184.34/29.18  | |   (14)  op(e2, e2) = e3
% 184.34/29.18  | | 
% 184.34/29.18  | | REF_CLOSE: (2), (4), (10), (14) are inconsistent by sub-proof #1015.
% 184.34/29.18  | | 
% 184.34/29.18  | End of split
% 184.34/29.18  | 
% 184.34/29.18  End of proof
% 184.34/29.18  
% 184.34/29.18  Sub-proof #140 shows that the following formulas are inconsistent:
% 184.34/29.18  ----------------------------------------------------------------
% 184.34/29.18    (1)  all_54_13 = all_52_7
% 184.34/29.18    (2)   ~ (all_52_6 = all_52_7)
% 184.34/29.18    (3)   ~ (all_52_7 = e0)
% 184.34/29.18    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.18    (5)  op(e1, e2) = e1
% 184.34/29.18    (6)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 184.34/29.18    (7)  op(e1, e2) = all_52_6
% 184.34/29.18    (8)   ~ (all_52_7 = e2)
% 184.34/29.18  
% 184.34/29.18  Begin of proof
% 184.34/29.18  | 
% 184.34/29.18  | BETA: splitting (6) gives:
% 184.34/29.18  | 
% 184.34/29.18  | Case 1:
% 184.34/29.18  | | 
% 184.34/29.18  | |   (9)  all_54_13 = e2
% 184.34/29.18  | | 
% 184.34/29.18  | | REF_CLOSE: (1), (8), (9) are inconsistent by sub-proof #1185.
% 184.34/29.18  | | 
% 184.34/29.18  | Case 2:
% 184.34/29.18  | | 
% 184.34/29.18  | |   (10)  all_54_13 = e1 | all_54_13 = e0
% 184.34/29.18  | | 
% 184.34/29.18  | | BETA: splitting (10) gives:
% 184.34/29.18  | | 
% 184.34/29.18  | | Case 1:
% 184.34/29.18  | | | 
% 184.34/29.18  | | |   (11)  all_54_13 = e1
% 184.34/29.18  | | | 
% 184.34/29.18  | | | COMBINE_EQS: (1), (11) imply:
% 184.34/29.18  | | |   (12)  all_52_7 = e1
% 184.34/29.18  | | | 
% 184.34/29.18  | | | REDUCE: (2), (12) imply:
% 184.34/29.18  | | |   (13)   ~ (all_52_6 = e1)
% 184.34/29.18  | | | 
% 184.34/29.18  | | | REF_CLOSE: (4), (5), (7), (13) are inconsistent by sub-proof #834.
% 184.34/29.18  | | | 
% 184.34/29.18  | | Case 2:
% 184.34/29.18  | | | 
% 184.34/29.18  | | |   (14)  all_54_13 = e0
% 184.34/29.18  | | | 
% 184.34/29.18  | | | COMBINE_EQS: (1), (14) imply:
% 184.34/29.18  | | |   (15)  all_52_7 = e0
% 184.34/29.18  | | | 
% 184.34/29.18  | | | REDUCE: (3), (15) imply:
% 184.34/29.18  | | |   (16)  $false
% 184.34/29.18  | | | 
% 184.34/29.18  | | | CLOSE: (16) is inconsistent.
% 184.34/29.18  | | | 
% 184.34/29.18  | | End of split
% 184.34/29.18  | | 
% 184.34/29.18  | End of split
% 184.34/29.18  | 
% 184.34/29.18  End of proof
% 184.34/29.18  
% 184.34/29.18  Sub-proof #141 shows that the following formulas are inconsistent:
% 184.34/29.18  ----------------------------------------------------------------
% 184.34/29.18    (1)  all_54_6 = all_52_9
% 184.34/29.18    (2)   ~ (all_52_9 = e0)
% 184.34/29.18    (3)  op(e2, e1) = all_52_9
% 184.34/29.18    (4)  all_54_6 = e1 | all_54_6 = e0
% 184.34/29.18    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.18    (6)  op(e0, e2) = e1
% 184.34/29.18    (7)   ~ (all_52_9 = e2)
% 184.34/29.18    (8)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 184.34/29.18             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.34/29.18           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.34/29.18             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.34/29.18           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 184.34/29.18           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 184.34/29.18           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 184.34/29.18           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 184.34/29.18           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 184.34/29.18           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.34/29.18             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 184.34/29.18           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.34/29.18           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 184.34/29.18    (9)   ~ (e2 = e1)
% 184.34/29.18  
% 184.34/29.18  Begin of proof
% 184.34/29.18  | 
% 184.34/29.18  | BETA: splitting (8) gives:
% 184.34/29.18  | 
% 184.34/29.18  | Case 1:
% 184.34/29.18  | | 
% 184.34/29.19  | |   (10)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~
% 184.34/29.19  | |         (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 184.34/29.19  | |         (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 184.34/29.19  | |         = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 184.34/29.19  | |         op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.34/29.19  | |         op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 184.34/29.19  | |         $i(all_57_19) & $i(all_57_21) & $i(all_57_29)
% 184.34/29.19  | | 
% 184.34/29.19  | | ALPHA: (10) implies:
% 184.34/29.19  | |   (11)  op(e2, e1) = e2
% 184.34/29.19  | | 
% 184.34/29.19  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (11) are inconsistent by sub-proof
% 184.34/29.19  | |            #1147.
% 184.34/29.19  | | 
% 184.34/29.19  | Case 2:
% 184.34/29.19  | | 
% 184.34/29.19  | |   (12)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~
% 184.34/29.19  | |         (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.34/29.19  | |         (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20)
% 184.34/29.19  | |         = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 184.34/29.19  | |         op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 &
% 184.34/29.19  | |         op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.34/29.19  | |         $i(all_57_19) & $i(all_57_20) & $i(all_57_29)
% 184.34/29.19  | | 
% 184.34/29.19  | | ALPHA: (12) implies:
% 184.34/29.19  | |   (13)  op(e0, e2) = e2
% 184.34/29.19  | | 
% 184.34/29.19  | | REF_CLOSE: (5), (6), (9), (13) are inconsistent by sub-proof #279.
% 184.34/29.19  | | 
% 184.34/29.19  | End of split
% 184.34/29.19  | 
% 184.34/29.19  End of proof
% 184.34/29.19  
% 184.34/29.19  Sub-proof #142 shows that the following formulas are inconsistent:
% 184.34/29.19  ----------------------------------------------------------------
% 184.34/29.19    (1)  all_54_6 = all_52_9
% 184.34/29.19    (2)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 184.34/29.19    (3)  op(e1, e1) = e3
% 184.34/29.19    (4)   ~ (all_52_9 = e0)
% 184.34/29.19    (5)  op(e0, e1) = all_52_11
% 184.34/29.19    (6)  op(e2, e1) = all_52_9
% 184.34/29.19    (7)   ~ (e2 = e0)
% 184.34/29.19    (8)  all_54_4 = all_52_1
% 184.34/29.19    (9)   ~ (all_52_1 = e3)
% 184.34/29.19    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.19            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.19    (11)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 184.34/29.19    (12)   ~ (all_52_1 = e1)
% 184.34/29.19    (13)   ~ (all_52_1 = e0)
% 184.34/29.19    (14)   ~ (e3 = e2)
% 184.34/29.19    (15)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 184.34/29.19          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.34/29.19    (16)  all_56_4 = e0
% 184.34/29.19    (17)   ~ (all_52_1 = all_52_9)
% 184.34/29.19    (18)   ~ (all_52_11 = e2)
% 184.34/29.19  
% 184.34/29.19  Begin of proof
% 184.34/29.19  | 
% 184.34/29.19  | BETA: splitting (2) gives:
% 184.34/29.19  | 
% 184.34/29.19  | Case 1:
% 184.34/29.19  | | 
% 184.34/29.19  | |   (19)  all_54_4 = e3
% 184.34/29.19  | | 
% 184.34/29.19  | | REF_CLOSE: (8), (9), (19) are inconsistent by sub-proof #1078.
% 184.34/29.19  | | 
% 184.34/29.19  | Case 2:
% 184.34/29.19  | | 
% 184.34/29.19  | |   (20)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 184.34/29.19  | | 
% 184.34/29.19  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13), (14),
% 184.34/29.19  | |            (15), (16), (17), (18), (20) are inconsistent by sub-proof #143.
% 184.34/29.19  | | 
% 184.34/29.19  | End of split
% 184.34/29.19  | 
% 184.34/29.19  End of proof
% 184.34/29.19  
% 184.34/29.19  Sub-proof #143 shows that the following formulas are inconsistent:
% 184.34/29.19  ----------------------------------------------------------------
% 184.34/29.19    (1)  all_54_6 = all_52_9
% 184.34/29.19    (2)  op(e1, e1) = e3
% 184.34/29.19    (3)   ~ (all_52_9 = e0)
% 184.34/29.19    (4)  op(e0, e1) = all_52_11
% 184.34/29.19    (5)  op(e2, e1) = all_52_9
% 184.34/29.19    (6)   ~ (e2 = e0)
% 184.34/29.19    (7)  all_54_4 = all_52_1
% 184.34/29.19    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.19    (9)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 184.34/29.19    (10)   ~ (all_52_1 = e1)
% 184.34/29.19    (11)   ~ (all_52_1 = e0)
% 184.34/29.19    (12)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 184.34/29.19    (13)   ~ (e3 = e2)
% 184.34/29.19    (14)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 184.34/29.19          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.34/29.19    (15)  all_56_4 = e0
% 184.34/29.19    (16)   ~ (all_52_1 = all_52_9)
% 184.34/29.19    (17)   ~ (all_52_11 = e2)
% 184.34/29.19  
% 184.34/29.19  Begin of proof
% 184.34/29.19  | 
% 184.34/29.19  | BETA: splitting (14) gives:
% 184.34/29.19  | 
% 184.34/29.19  | Case 1:
% 184.34/29.19  | | 
% 184.34/29.19  | |   (18)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 184.34/29.19  | |           e2)
% 184.34/29.19  | | 
% 184.34/29.19  | | BETA: splitting (18) gives:
% 184.34/29.19  | | 
% 184.34/29.19  | | Case 1:
% 184.34/29.19  | | | 
% 184.34/29.19  | | |   (19)  all_56_4 = e2 & op(e3, e1) = e2
% 184.34/29.19  | | | 
% 184.34/29.19  | | | ALPHA: (19) implies:
% 184.34/29.19  | | |   (20)  all_56_4 = e2
% 184.34/29.19  | | | 
% 184.34/29.19  | | | REF_CLOSE: (6), (15), (20) are inconsistent by sub-proof #1394.
% 184.34/29.19  | | | 
% 184.34/29.19  | | Case 2:
% 184.34/29.19  | | | 
% 184.34/29.19  | | |   (21)  all_56_5 = e2 & op(e2, e1) = e2
% 184.34/29.19  | | | 
% 184.34/29.19  | | | ALPHA: (21) implies:
% 184.34/29.19  | | |   (22)  op(e2, e1) = e2
% 184.34/29.19  | | | 
% 184.34/29.19  | | | REF_CLOSE: (1), (3), (5), (7), (8), (9), (10), (11), (12), (16), (22) are
% 184.34/29.19  | | |            inconsistent by sub-proof #145.
% 184.34/29.19  | | | 
% 184.34/29.19  | | End of split
% 184.34/29.19  | | 
% 184.34/29.19  | Case 2:
% 184.34/29.19  | | 
% 184.34/29.19  | |   (23)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 184.34/29.19  | |           e2)
% 184.34/29.19  | | 
% 184.34/29.19  | | REF_CLOSE: (2), (4), (8), (13), (17), (23) are inconsistent by sub-proof
% 184.34/29.19  | |            #144.
% 184.34/29.19  | | 
% 184.34/29.19  | End of split
% 184.34/29.19  | 
% 184.34/29.19  End of proof
% 184.34/29.19  
% 184.34/29.19  Sub-proof #144 shows that the following formulas are inconsistent:
% 184.34/29.19  ----------------------------------------------------------------
% 184.34/29.19    (1)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.34/29.19    (2)  op(e1, e1) = e3
% 184.34/29.19    (3)  op(e0, e1) = all_52_11
% 184.34/29.19    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.19    (5)   ~ (e3 = e2)
% 184.34/29.19    (6)   ~ (all_52_11 = e2)
% 184.34/29.19  
% 184.34/29.19  Begin of proof
% 184.34/29.19  | 
% 184.34/29.19  | BETA: splitting (1) gives:
% 184.34/29.19  | 
% 184.34/29.19  | Case 1:
% 184.34/29.19  | | 
% 184.34/29.19  | |   (7)  all_56_8 = e2 & op(e1, e1) = e2
% 184.34/29.19  | | 
% 184.34/29.19  | | ALPHA: (7) implies:
% 184.34/29.19  | |   (8)  op(e1, e1) = e2
% 184.34/29.19  | | 
% 184.34/29.19  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1164.
% 184.34/29.19  | | 
% 184.34/29.19  | Case 2:
% 184.34/29.19  | | 
% 184.34/29.19  | |   (9)  all_56_14 = e2 & op(e0, e1) = e2
% 184.34/29.19  | | 
% 184.34/29.19  | | REF_CLOSE: (3), (4), (6), (9) are inconsistent by sub-proof #245.
% 184.34/29.19  | | 
% 184.34/29.19  | End of split
% 184.34/29.19  | 
% 184.34/29.19  End of proof
% 184.34/29.19  
% 184.34/29.19  Sub-proof #145 shows that the following formulas are inconsistent:
% 184.34/29.19  ----------------------------------------------------------------
% 184.34/29.19    (1)  all_54_6 = all_52_9
% 184.34/29.19    (2)  op(e2, e1) = e2
% 184.34/29.19    (3)   ~ (all_52_9 = e0)
% 184.34/29.19    (4)  op(e2, e1) = all_52_9
% 184.34/29.19    (5)  all_54_4 = all_52_1
% 184.34/29.19    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.19    (7)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 184.34/29.19    (8)   ~ (all_52_1 = e1)
% 184.34/29.19    (9)   ~ (all_52_1 = e0)
% 184.34/29.19    (10)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 184.34/29.19    (11)   ~ (all_52_1 = all_52_9)
% 184.34/29.19  
% 184.34/29.19  Begin of proof
% 184.34/29.19  | 
% 184.34/29.19  | BETA: splitting (10) gives:
% 184.34/29.19  | 
% 184.34/29.19  | Case 1:
% 184.34/29.19  | | 
% 184.34/29.19  | |   (12)  all_54_4 = e2
% 184.34/29.19  | | 
% 184.34/29.19  | | COMBINE_EQS: (5), (12) imply:
% 184.34/29.19  | |   (13)  all_52_1 = e2
% 184.34/29.19  | | 
% 184.34/29.19  | | SIMP: (13) implies:
% 184.34/29.19  | |   (14)  all_52_1 = e2
% 184.34/29.19  | | 
% 184.34/29.19  | | REDUCE: (11), (14) imply:
% 184.34/29.19  | |   (15)   ~ (all_52_9 = e2)
% 184.34/29.19  | | 
% 184.34/29.19  | | SIMP: (15) implies:
% 184.34/29.19  | |   (16)   ~ (all_52_9 = e2)
% 184.34/29.19  | | 
% 184.34/29.19  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (16) are inconsistent by sub-proof
% 184.34/29.19  | |            #1145.
% 184.34/29.19  | | 
% 184.34/29.19  | Case 2:
% 184.34/29.19  | | 
% 184.34/29.19  | |   (17)  all_54_4 = e1 | all_54_4 = e0
% 184.34/29.19  | | 
% 184.34/29.19  | | REF_CLOSE: (5), (8), (9), (17) are inconsistent by sub-proof #737.
% 184.34/29.19  | | 
% 184.34/29.19  | End of split
% 184.34/29.19  | 
% 184.34/29.19  End of proof
% 184.34/29.19  
% 184.34/29.19  Sub-proof #146 shows that the following formulas are inconsistent:
% 184.34/29.19  ----------------------------------------------------------------
% 184.34/29.19    (1)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 184.34/29.19    (2)   ~ (e3 = e0)
% 184.34/29.19    (3)  op(e2, e3) = all_52_1
% 184.34/29.19    (4)   ~ (all_52_1 = e3)
% 184.34/29.19    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.19    (6)  op(e2, e2) = e0
% 184.34/29.19  
% 184.34/29.19  Begin of proof
% 184.34/29.19  | 
% 184.34/29.19  | BETA: splitting (1) gives:
% 184.34/29.19  | 
% 184.34/29.19  | Case 1:
% 184.34/29.19  | | 
% 184.34/29.19  | |   (7)  all_56_2 = e3 & op(e2, e3) = e3
% 184.34/29.19  | | 
% 184.34/29.19  | | ALPHA: (7) implies:
% 184.34/29.19  | |   (8)  op(e2, e3) = e3
% 184.34/29.19  | | 
% 184.34/29.19  | | REF_CLOSE: (3), (4), (5), (8) are inconsistent by sub-proof #286.
% 184.34/29.19  | | 
% 184.34/29.19  | Case 2:
% 184.34/29.19  | | 
% 184.34/29.19  | |   (9)  all_56_3 = e3 & op(e2, e2) = e3
% 184.34/29.19  | | 
% 184.34/29.19  | | ALPHA: (9) implies:
% 184.34/29.19  | |   (10)  op(e2, e2) = e3
% 184.34/29.19  | | 
% 184.34/29.19  | | REF_CLOSE: (2), (5), (6), (10) are inconsistent by sub-proof #1015.
% 184.34/29.19  | | 
% 184.34/29.19  | End of split
% 184.34/29.19  | 
% 184.34/29.19  End of proof
% 184.34/29.19  
% 184.34/29.19  Sub-proof #147 shows that the following formulas are inconsistent:
% 184.34/29.19  ----------------------------------------------------------------
% 184.34/29.19    (1)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 184.34/29.19    (2)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3) |
% 184.34/29.19         (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) = e3) |
% 184.34/29.19         ( ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 & $i(all_57_19))
% 184.34/29.19    (3)   ~ (all_52_3 = e1)
% 184.34/29.19    (4)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 184.34/29.19    (5)  op(e1, e1) = all_14_2
% 184.34/29.19    (6)   ~ (e3 = e0)
% 184.34/29.19    (7)   ~ (e3 = e1)
% 184.34/29.19    (8)  op(e2, e3) = all_52_1
% 184.34/29.19    (9)  all_54_4 = all_52_1
% 184.34/29.19    (10)  op(e0, e3) = all_52_3
% 184.34/29.19    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.34/29.19            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.34/29.19    (12)   ~ (all_52_1 = e1)
% 184.34/29.19    (13)   ~ (all_14_2 = e3)
% 184.34/29.19    (14)   ~ (all_52_1 = e0)
% 184.34/29.19    (15)   ~ (all_52_3 = e2)
% 184.34/29.19    (16)   ~ (e3 = e2)
% 184.34/29.19    (17)  op(e3, e3) = e1
% 184.34/29.19    (18)  all_54_12 = all_52_3
% 184.34/29.19    (19)   ~ (all_52_1 = all_52_3)
% 184.34/29.19    (20)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 184.34/29.19          | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 184.34/29.19            e3) | ( ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 & $i(all_57_25))
% 184.34/29.19    (21)  op(e2, e2) = e0
% 184.34/29.19    (22)  op(e0, e0) = e2
% 184.34/29.19  
% 184.34/29.19  Begin of proof
% 184.34/29.19  | 
% 184.34/29.19  | BETA: splitting (20) gives:
% 184.34/29.19  | 
% 184.34/29.19  | Case 1:
% 184.34/29.19  | | 
% 184.34/29.19  | |   (23)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) =
% 184.34/29.19  | |           e3)
% 184.34/29.19  | | 
% 184.34/29.19  | | REF_CLOSE: (6), (7), (11), (17), (21), (23) are inconsistent by sub-proof
% 184.34/29.19  | |            #360.
% 184.34/29.19  | | 
% 184.34/29.19  | Case 2:
% 184.34/29.19  | | 
% 184.34/29.19  | |   (24)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 184.34/29.19  | |           e3) | ( ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 184.34/29.19  | |           $i(all_57_25))
% 184.34/29.19  | | 
% 184.34/29.19  | | BETA: splitting (24) gives:
% 184.34/29.19  | | 
% 184.34/29.19  | | Case 1:
% 184.34/29.19  | | | 
% 184.34/29.19  | | |   (25)  all_57_30 = e3 & op(e1, e1) = e3
% 184.34/29.19  | | | 
% 184.34/29.19  | | | ALPHA: (25) implies:
% 184.34/29.19  | | |   (26)  op(e1, e1) = e3
% 184.34/29.19  | | | 
% 184.34/29.19  | | | REF_CLOSE: (5), (11), (13), (26) are inconsistent by sub-proof #181.
% 184.34/29.19  | | | 
% 184.34/29.19  | | Case 2:
% 184.34/29.19  | | | 
% 184.34/29.19  | | |   (27)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) & op(e0,
% 184.34/29.19  | | |             e3) = all_57_25 & $i(all_57_25))
% 184.34/29.19  | | | 
% 184.34/29.19  | | | BETA: splitting (27) gives:
% 184.34/29.19  | | | 
% 184.34/29.19  | | | Case 1:
% 184.34/29.19  | | | | 
% 184.34/29.19  | | | |   (28)  all_57_31 = e3 & op(e0, e0) = e3
% 184.34/29.19  | | | | 
% 184.34/29.19  | | | | ALPHA: (28) implies:
% 184.34/29.19  | | | |   (29)  op(e0, e0) = e3
% 184.34/29.19  | | | | 
% 184.34/29.19  | | | | REF_CLOSE: (11), (16), (22), (29) are inconsistent by sub-proof #221.
% 184.34/29.19  | | | | 
% 184.34/29.19  | | | Case 2:
% 184.34/29.19  | | | | 
% 184.34/29.19  | | | |   (30)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 & $i(all_57_25)
% 184.34/29.19  | | | | 
% 184.34/29.19  | | | | ALPHA: (30) implies:
% 184.34/29.19  | | | |   (31)   ~ (all_57_25 = e0)
% 184.34/29.19  | | | |   (32)  op(e0, e3) = all_57_25
% 184.34/29.19  | | | | 
% 184.34/29.19  | | | | BETA: splitting (2) gives:
% 184.34/29.19  | | | | 
% 184.34/29.19  | | | | Case 1:
% 184.34/29.19  | | | | | 
% 184.34/29.19  | | | | |   (33)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2,
% 184.34/29.19  | | | | |             e2) = e3)
% 184.34/29.19  | | | | | 
% 184.34/29.19  | | | | | REF_CLOSE: (6), (7), (11), (17), (21), (33) are inconsistent by
% 184.34/29.19  | | | | |            sub-proof #360.
% 184.34/29.19  | | | | | 
% 184.34/29.19  | | | | Case 2:
% 184.34/29.19  | | | | | 
% 184.34/29.19  | | | | |   (34)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0,
% 184.34/29.19  | | | | |             e0) = e3) | ( ~ (all_57_19 = e2) & op(e2, e3) = all_57_19
% 184.34/29.19  | | | | |           & $i(all_57_19))
% 184.34/29.19  | | | | | 
% 184.34/29.19  | | | | | BETA: splitting (34) gives:
% 184.34/29.19  | | | | | 
% 184.34/29.19  | | | | | Case 1:
% 184.34/29.19  | | | | | | 
% 184.34/29.19  | | | | | |   (35)  all_57_30 = e3 & op(e1, e1) = e3
% 184.34/29.19  | | | | | | 
% 184.34/29.19  | | | | | | ALPHA: (35) implies:
% 184.34/29.19  | | | | | |   (36)  op(e1, e1) = e3
% 184.34/29.19  | | | | | | 
% 184.34/29.19  | | | | | | REF_CLOSE: (5), (11), (13), (36) are inconsistent by sub-proof #181.
% 184.34/29.19  | | | | | | 
% 184.34/29.19  | | | | | Case 2:
% 184.34/29.19  | | | | | | 
% 184.34/29.19  | | | | | |   (37)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 184.34/29.19  | | | | | |           op(e2, e3) = all_57_19 & $i(all_57_19))
% 184.34/29.19  | | | | | | 
% 184.34/29.19  | | | | | | BETA: splitting (37) gives:
% 184.34/29.19  | | | | | | 
% 184.34/29.19  | | | | | | Case 1:
% 184.34/29.19  | | | | | | | 
% 184.34/29.19  | | | | | | |   (38)  all_57_31 = e3 & op(e0, e0) = e3
% 184.34/29.19  | | | | | | | 
% 184.34/29.19  | | | | | | | ALPHA: (38) implies:
% 184.34/29.19  | | | | | | |   (39)  op(e0, e0) = e3
% 184.34/29.19  | | | | | | | 
% 184.34/29.19  | | | | | | | REF_CLOSE: (11), (16), (22), (39) are inconsistent by sub-proof
% 184.34/29.19  | | | | | | |            #221.
% 184.34/29.19  | | | | | | | 
% 184.34/29.19  | | | | | | Case 2:
% 184.34/29.19  | | | | | | | 
% 184.34/29.19  | | | | | | |   (40)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 184.34/29.19  | | | | | | |         $i(all_57_19)
% 184.34/29.19  | | | | | | | 
% 184.34/29.19  | | | | | | | ALPHA: (40) implies:
% 184.34/29.19  | | | | | | |   (41)   ~ (all_57_19 = e2)
% 184.34/29.19  | | | | | | |   (42)  op(e2, e3) = all_57_19
% 184.34/29.19  | | | | | | | 
% 184.34/29.19  | | | | | | | GROUND_INST: instantiating (11) with all_52_3, all_57_25, e3, e0,
% 184.34/29.19  | | | | | | |              simplifying with (10), (32) gives:
% 184.34/29.19  | | | | | | |   (43)  all_57_25 = all_52_3
% 184.34/29.19  | | | | | | | 
% 184.34/29.19  | | | | | | | GROUND_INST: instantiating (11) with all_52_1, all_57_19, e3, e2,
% 184.34/29.19  | | | | | | |              simplifying with (8), (42) gives:
% 184.34/29.19  | | | | | | |   (44)  all_57_19 = all_52_1
% 184.34/29.19  | | | | | | | 
% 184.34/29.19  | | | | | | | REDUCE: (41), (44) imply:
% 184.34/29.19  | | | | | | |   (45)   ~ (all_52_1 = e2)
% 184.34/29.19  | | | | | | | 
% 184.34/29.19  | | | | | | | REDUCE: (31), (43) imply:
% 184.34/29.19  | | | | | | |   (46)   ~ (all_52_3 = e0)
% 184.34/29.19  | | | | | | | 
% 184.34/29.19  | | | | | | | BETA: splitting (4) gives:
% 184.34/29.19  | | | | | | | 
% 184.34/29.19  | | | | | | | Case 1:
% 184.34/29.19  | | | | | | | | 
% 184.34/29.19  | | | | | | | |   (47)  all_54_4 = e3
% 184.34/29.19  | | | | | | | | 
% 184.34/29.19  | | | | | | | | COMBINE_EQS: (9), (47) imply:
% 184.34/29.19  | | | | | | | |   (48)  all_52_1 = e3
% 184.34/29.19  | | | | | | | | 
% 184.34/29.19  | | | | | | | | SIMP: (48) implies:
% 184.34/29.19  | | | | | | | |   (49)  all_52_1 = e3
% 184.34/29.19  | | | | | | | | 
% 184.34/29.19  | | | | | | | | REDUCE: (19), (49) imply:
% 184.34/29.19  | | | | | | | |   (50)   ~ (all_52_3 = e3)
% 184.34/29.19  | | | | | | | | 
% 184.34/29.19  | | | | | | | | REF_CLOSE: (1), (3), (15), (18), (46), (50) are inconsistent by
% 184.34/29.19  | | | | | | | |            sub-proof #149.
% 184.34/29.19  | | | | | | | | 
% 184.34/29.19  | | | | | | | Case 2:
% 184.34/29.19  | | | | | | | | 
% 184.34/29.19  | | | | | | | |   (51)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 184.34/29.19  | | | | | | | | 
% 184.34/29.19  | | | | | | | | REF_CLOSE: (9), (12), (14), (45), (51) are inconsistent by
% 184.34/29.19  | | | | | | | |            sub-proof #148.
% 184.34/29.19  | | | | | | | | 
% 184.34/29.19  | | | | | | | End of split
% 184.34/29.19  | | | | | | | 
% 184.34/29.19  | | | | | | End of split
% 184.34/29.19  | | | | | | 
% 184.34/29.19  | | | | | End of split
% 184.34/29.19  | | | | | 
% 184.34/29.19  | | | | End of split
% 184.34/29.19  | | | | 
% 184.34/29.19  | | | End of split
% 184.34/29.19  | | | 
% 184.34/29.19  | | End of split
% 184.34/29.19  | | 
% 184.34/29.19  | End of split
% 184.34/29.19  | 
% 184.34/29.19  End of proof
% 184.34/29.19  
% 184.49/29.19  Sub-proof #148 shows that the following formulas are inconsistent:
% 184.49/29.19  ----------------------------------------------------------------
% 184.49/29.19    (1)   ~ (all_52_1 = e2)
% 184.49/29.19    (2)  all_54_4 = all_52_1
% 184.49/29.19    (3)   ~ (all_52_1 = e1)
% 184.49/29.19    (4)   ~ (all_52_1 = e0)
% 184.49/29.19    (5)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 184.49/29.19  
% 184.49/29.19  Begin of proof
% 184.49/29.19  | 
% 184.49/29.19  | BETA: splitting (5) gives:
% 184.49/29.19  | 
% 184.49/29.19  | Case 1:
% 184.49/29.19  | | 
% 184.49/29.19  | |   (6)  all_54_4 = e2
% 184.49/29.19  | | 
% 184.49/29.19  | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #1084.
% 184.49/29.19  | | 
% 184.49/29.19  | Case 2:
% 184.49/29.19  | | 
% 184.49/29.19  | |   (7)  all_54_4 = e1 | all_54_4 = e0
% 184.49/29.19  | | 
% 184.49/29.19  | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #737.
% 184.49/29.19  | | 
% 184.49/29.19  | End of split
% 184.49/29.19  | 
% 184.49/29.19  End of proof
% 184.49/29.19  
% 184.49/29.19  Sub-proof #149 shows that the following formulas are inconsistent:
% 184.49/29.19  ----------------------------------------------------------------
% 184.49/29.19    (1)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 184.49/29.19    (2)   ~ (all_52_3 = e1)
% 184.49/29.19    (3)   ~ (all_52_3 = e3)
% 184.49/29.19    (4)   ~ (all_52_3 = e2)
% 184.49/29.19    (5)   ~ (all_52_3 = e0)
% 184.49/29.19    (6)  all_54_12 = all_52_3
% 184.49/29.19  
% 184.49/29.19  Begin of proof
% 184.49/29.19  | 
% 184.49/29.19  | SIMP: (3) implies:
% 184.49/29.19  |   (7)   ~ (all_52_3 = e3)
% 184.49/29.19  | 
% 184.49/29.19  | BETA: splitting (1) gives:
% 184.49/29.19  | 
% 184.49/29.19  | Case 1:
% 184.49/29.19  | | 
% 184.49/29.19  | |   (8)  all_54_12 = e3
% 184.49/29.19  | | 
% 184.49/29.19  | | REF_CLOSE: (6), (7), (8) are inconsistent by sub-proof #1265.
% 184.49/29.19  | | 
% 184.49/29.19  | Case 2:
% 184.49/29.19  | | 
% 184.49/29.19  | |   (9)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 184.49/29.19  | | 
% 184.49/29.19  | | REF_CLOSE: (2), (4), (5), (6), (9) are inconsistent by sub-proof #175.
% 184.49/29.19  | | 
% 184.49/29.19  | End of split
% 184.49/29.19  | 
% 184.49/29.19  End of proof
% 184.49/29.19  
% 184.49/29.19  Sub-proof #150 shows that the following formulas are inconsistent:
% 184.49/29.19  ----------------------------------------------------------------
% 184.49/29.19    (1)  all_54_6 = all_52_9
% 184.49/29.19    (2)   ~ (all_52_9 = e0)
% 184.49/29.19    (3)  op(e2, e1) = all_52_9
% 184.49/29.19    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.19    (5)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 184.49/29.19    (6)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.49/29.19    (7)   ~ (all_52_9 = e2)
% 184.49/29.19    (8)  op(e2, e0) = all_52_13
% 184.49/29.19    (9)   ~ (all_52_13 = e2)
% 184.49/29.19  
% 184.49/29.19  Begin of proof
% 184.49/29.19  | 
% 184.49/29.19  | BETA: splitting (6) gives:
% 184.49/29.19  | 
% 184.49/29.19  | Case 1:
% 184.49/29.19  | | 
% 184.49/29.19  | |   (10)  all_56_5 = e2 & op(e2, e1) = e2
% 184.49/29.19  | | 
% 184.49/29.19  | | ALPHA: (10) implies:
% 184.49/29.19  | |   (11)  op(e2, e1) = e2
% 184.49/29.19  | | 
% 184.49/29.19  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (11) are inconsistent by sub-proof
% 184.49/29.19  | |            #1145.
% 184.49/29.19  | | 
% 184.49/29.19  | Case 2:
% 184.49/29.19  | | 
% 184.49/29.19  | |   (12)  all_56_10 = e2 & op(e2, e0) = e2
% 184.49/29.19  | | 
% 184.49/29.19  | | ALPHA: (12) implies:
% 184.49/29.19  | |   (13)  op(e2, e0) = e2
% 184.49/29.19  | | 
% 184.49/29.19  | | REF_CLOSE: (4), (8), (9), (13) are inconsistent by sub-proof #1562.
% 184.49/29.19  | | 
% 184.49/29.19  | End of split
% 184.49/29.19  | 
% 184.49/29.19  End of proof
% 184.49/29.19  
% 184.49/29.19  Sub-proof #151 shows that the following formulas are inconsistent:
% 184.49/29.19  ----------------------------------------------------------------
% 184.49/29.19    (1)   ~ (e3 = e0)
% 184.49/29.19    (2)  op(e3, e3) = e2
% 184.49/29.19    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.19    (4)   ~ (e3 = e2)
% 184.49/29.19    (5)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 184.49/29.19    (6)  op(e2, e2) = e0
% 184.49/29.19  
% 184.49/29.19  Begin of proof
% 184.49/29.19  | 
% 184.49/29.19  | BETA: splitting (5) gives:
% 184.49/29.19  | 
% 184.49/29.19  | Case 1:
% 184.49/29.19  | | 
% 184.49/29.19  | |   (7)  all_57_28 = e3 & op(e3, e3) = e3
% 184.49/29.19  | | 
% 184.49/29.19  | | ALPHA: (7) implies:
% 184.49/29.19  | |   (8)  op(e3, e3) = e3
% 184.49/29.19  | | 
% 184.49/29.19  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1594.
% 184.49/29.19  | | 
% 184.49/29.19  | Case 2:
% 184.49/29.19  | | 
% 184.49/29.19  | |   (9)  all_57_29 = e3 & op(e2, e2) = e3
% 184.49/29.19  | | 
% 184.49/29.19  | | ALPHA: (9) implies:
% 184.49/29.19  | |   (10)  op(e2, e2) = e3
% 184.49/29.19  | | 
% 184.49/29.19  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1015.
% 184.49/29.19  | | 
% 184.49/29.19  | End of split
% 184.49/29.19  | 
% 184.49/29.19  End of proof
% 184.49/29.19  
% 184.49/29.19  Sub-proof #152 shows that the following formulas are inconsistent:
% 184.49/29.19  ----------------------------------------------------------------
% 184.49/29.19    (1)   ~ (all_52_4 = e3)
% 184.49/29.19    (2)   ~ (e3 = e0)
% 184.49/29.19    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.19    (4)  op(e3, e2) = all_52_4
% 184.49/29.19    (5)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 184.49/29.19    (6)  op(e2, e2) = e0
% 184.49/29.19  
% 184.49/29.19  Begin of proof
% 184.49/29.19  | 
% 184.49/29.19  | BETA: splitting (5) gives:
% 184.49/29.19  | 
% 184.49/29.19  | Case 1:
% 184.49/29.19  | | 
% 184.49/29.19  | |   (7)  all_56_1 = e3 & op(e3, e2) = e3
% 184.49/29.19  | | 
% 184.49/29.19  | | ALPHA: (7) implies:
% 184.49/29.19  | |   (8)  op(e3, e2) = e3
% 184.49/29.19  | | 
% 184.49/29.19  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #1603.
% 184.49/29.19  | | 
% 184.49/29.19  | Case 2:
% 184.49/29.19  | | 
% 184.49/29.19  | |   (9)  all_56_3 = e3 & op(e2, e2) = e3
% 184.49/29.19  | | 
% 184.49/29.19  | | ALPHA: (9) implies:
% 184.49/29.19  | |   (10)  op(e2, e2) = e3
% 184.49/29.19  | | 
% 184.49/29.19  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1015.
% 184.49/29.19  | | 
% 184.49/29.19  | End of split
% 184.49/29.19  | 
% 184.49/29.19  End of proof
% 184.49/29.19  
% 184.49/29.19  Sub-proof #153 shows that the following formulas are inconsistent:
% 184.49/29.19  ----------------------------------------------------------------
% 184.49/29.19    (1)  op(e1, e1) = all_14_2
% 184.49/29.19    (2)   ~ (e3 = e0)
% 184.49/29.19    (3)   ~ (all_14_2 = e0)
% 184.49/29.19    (4)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.49/29.19    (5)  all_54_10 = all_14_2
% 184.49/29.19    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.19           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.19    (7)  all_56_14 = e3
% 184.49/29.19    (8)  all_54_10 = e1 | all_54_10 = e0
% 184.49/29.19  
% 184.49/29.19  Begin of proof
% 184.49/29.19  | 
% 184.49/29.19  | BETA: splitting (4) gives:
% 184.49/29.19  | 
% 184.49/29.19  | Case 1:
% 184.49/29.19  | | 
% 184.49/29.19  | |   (9)  all_56_8 = e0 & op(e1, e1) = e0
% 184.49/29.19  | | 
% 184.49/29.19  | | ALPHA: (9) implies:
% 184.49/29.19  | |   (10)  op(e1, e1) = e0
% 184.49/29.19  | | 
% 184.49/29.19  | | REF_CLOSE: (1), (3), (5), (6), (8), (10) are inconsistent by sub-proof
% 184.49/29.19  | |            #1617.
% 184.49/29.19  | | 
% 184.49/29.19  | Case 2:
% 184.49/29.19  | | 
% 184.49/29.19  | |   (11)  all_56_14 = e0 & op(e0, e1) = e0
% 184.49/29.19  | | 
% 184.49/29.19  | | REF_CLOSE: (2), (7), (11) are inconsistent by sub-proof #1371.
% 184.49/29.19  | | 
% 184.49/29.19  | End of split
% 184.49/29.19  | 
% 184.49/29.19  End of proof
% 184.49/29.19  
% 184.49/29.19  Sub-proof #154 shows that the following formulas are inconsistent:
% 184.49/29.19  ----------------------------------------------------------------
% 184.49/29.19    (1)  op(e0, e0) = all_6_2
% 184.49/29.19    (2)   ~ (all_4_2 = e0)
% 184.49/29.19    (3)   ~ (all_6_2 = e1)
% 184.49/29.19    (4)   ~ (e1 = e0)
% 184.49/29.19    (5)  op(e1, e0) = all_52_14
% 184.49/29.19    (6)   ~ (all_4_2 = e2)
% 184.49/29.19    (7)   ~ (all_52_9 = e0)
% 184.49/29.19    (8)  all_54_0 = all_4_2
% 184.49/29.19    (9)   ~ (e3 = e0)
% 184.49/29.19    (10)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 184.49/29.19          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 184.49/29.20    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 184.49/29.20          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.49/29.20    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.49/29.20          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.49/29.20    (13)  op(e2, e1) = all_52_9
% 184.49/29.20    (14)   ~ (all_52_14 = e1)
% 184.49/29.20    (15)   ~ (e2 = e0)
% 184.49/29.20    (16)   ~ (e3 = e1)
% 184.49/29.20    (17)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 184.49/29.20    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.20            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.20    (19)  all_56_12 = e2
% 184.49/29.20    (20)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.49/29.20          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.49/29.20    (21)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.49/29.20          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.49/29.20    (22)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 184.49/29.20          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 184.49/29.20    (23)  op(e2, e0) = all_52_13
% 184.49/29.20    (24)   ~ (e3 = e2)
% 184.49/29.20    (25)   ~ (all_52_4 = e2)
% 184.49/29.20    (26)  all_56_14 = e3
% 184.49/29.20    (27)  op(e3, e3) = all_4_2
% 184.49/29.20    (28)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.49/29.20          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.49/29.20    (29)  op(e3, e2) = all_52_4
% 184.49/29.20    (30)   ~ (all_52_13 = e2)
% 184.49/29.20    (31)  op(e3, e3) = e3
% 184.49/29.20    (32)   ~ (e2 = e1)
% 184.49/29.20    (33)  op(e2, e2) = e0
% 184.49/29.20    (34)   ~ (all_4_2 = e1)
% 184.49/29.20    (35)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.49/29.20          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.49/29.20    (36)  op(e1, e1) = e1
% 184.49/29.20  
% 184.49/29.20  Begin of proof
% 184.49/29.20  | 
% 184.49/29.20  | BETA: splitting (22) gives:
% 184.49/29.20  | 
% 184.49/29.20  | Case 1:
% 184.49/29.20  | | 
% 184.49/29.20  | |   (37)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 184.49/29.20  | |           e2)
% 184.49/29.20  | | 
% 184.49/29.20  | | REF_CLOSE: (2), (6), (8), (17), (18), (25), (27), (29), (34), (37) are
% 184.49/29.20  | |            inconsistent by sub-proof #163.
% 184.49/29.20  | | 
% 184.49/29.20  | Case 2:
% 184.49/29.20  | | 
% 184.49/29.20  | |   (38)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 184.49/29.20  | |           e2)
% 184.49/29.20  | | 
% 184.49/29.20  | | BETA: splitting (38) gives:
% 184.49/29.20  | | 
% 184.49/29.20  | | Case 1:
% 184.49/29.20  | | | 
% 184.49/29.20  | | |   (39)  all_56_4 = e2 & op(e3, e1) = e2
% 184.49/29.20  | | | 
% 184.49/29.20  | | | ALPHA: (39) implies:
% 184.49/29.20  | | |   (40)  all_56_4 = e2
% 184.49/29.20  | | | 
% 184.49/29.20  | | | REF_CLOSE: (4), (7), (9), (13), (15), (18), (20), (26), (36), (40) are
% 184.49/29.20  | | |            inconsistent by sub-proof #1067.
% 184.49/29.20  | | | 
% 184.49/29.20  | | Case 2:
% 184.49/29.20  | | | 
% 184.49/29.20  | | |   (41)  all_56_9 = e2 & op(e3, e0) = e2
% 184.49/29.20  | | | 
% 184.49/29.20  | | | ALPHA: (41) implies:
% 184.49/29.20  | | |   (42)  all_56_9 = e2
% 184.49/29.20  | | | 
% 184.49/29.20  | | | BETA: splitting (21) gives:
% 184.49/29.20  | | | 
% 184.49/29.20  | | | Case 1:
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | |   (43)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2)
% 184.49/29.20  | | | |           = e2)
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | | BETA: splitting (43) gives:
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | | Case 1:
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | |   (44)  all_56_2 = e2 & op(e2, e3) = e2
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | | ALPHA: (44) implies:
% 184.49/29.20  | | | | |   (45)  all_56_2 = e2
% 184.49/29.20  | | | | |   (46)  op(e2, e3) = e2
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | | REF_CLOSE: (2), (4), (12), (15), (18), (19), (27), (32), (34), (35),
% 184.49/29.20  | | | | |            (45), (46) are inconsistent by sub-proof #988.
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | Case 2:
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | |   (47)  all_56_3 = e2 & op(e2, e2) = e2
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | | ALPHA: (47) implies:
% 184.49/29.20  | | | | |   (48)  op(e2, e2) = e2
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | | REF_CLOSE: (15), (18), (33), (48) are inconsistent by sub-proof #1586.
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | End of split
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | Case 2:
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | |   (49)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0)
% 184.49/29.20  | | | |           = e2)
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | | BETA: splitting (49) gives:
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | | Case 1:
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | |   (50)  all_56_5 = e2 & op(e2, e1) = e2
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | | ALPHA: (50) implies:
% 184.49/29.20  | | | | |   (51)  op(e2, e1) = e2
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | | BETA: splitting (28) gives:
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | | Case 1:
% 184.49/29.20  | | | | | | 
% 184.49/29.20  | | | | | |   (52)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2,
% 184.49/29.20  | | | | | |             e2) = e3)
% 184.49/29.20  | | | | | | 
% 184.49/29.20  | | | | | | BETA: splitting (52) gives:
% 184.49/29.20  | | | | | | 
% 184.49/29.20  | | | | | | Case 1:
% 184.49/29.20  | | | | | | | 
% 184.49/29.20  | | | | | | |   (53)  all_56_2 = e3 & op(e2, e3) = e3
% 184.49/29.20  | | | | | | | 
% 184.49/29.20  | | | | | | | ALPHA: (53) implies:
% 184.49/29.20  | | | | | | |   (54)  all_56_2 = e3
% 184.49/29.20  | | | | | | |   (55)  op(e2, e3) = e3
% 184.49/29.20  | | | | | | | 
% 184.49/29.20  | | | | | | | REF_CLOSE: (2), (4), (9), (11), (12), (15), (16), (18), (19),
% 184.49/29.20  | | | | | | |            (24), (27), (31), (32), (35), (54), (55) are
% 184.49/29.20  | | | | | | |            inconsistent by sub-proof #1123.
% 184.49/29.20  | | | | | | | 
% 184.49/29.20  | | | | | | Case 2:
% 184.49/29.20  | | | | | | | 
% 184.49/29.20  | | | | | | |   (56)  all_56_3 = e3 & op(e2, e2) = e3
% 184.49/29.20  | | | | | | | 
% 184.49/29.20  | | | | | | | ALPHA: (56) implies:
% 184.49/29.20  | | | | | | |   (57)  op(e2, e2) = e3
% 184.49/29.20  | | | | | | | 
% 184.49/29.20  | | | | | | | REF_CLOSE: (9), (18), (33), (57) are inconsistent by sub-proof
% 184.49/29.20  | | | | | | |            #1015.
% 184.49/29.20  | | | | | | | 
% 184.49/29.20  | | | | | | End of split
% 184.49/29.20  | | | | | | 
% 184.49/29.20  | | | | | Case 2:
% 184.49/29.20  | | | | | | 
% 184.49/29.20  | | | | | |   (58)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2,
% 184.49/29.20  | | | | | |             e0) = e3)
% 184.49/29.20  | | | | | | 
% 184.49/29.20  | | | | | | REF_CLOSE: (1), (3), (5), (10), (14), (16), (18), (24), (32), (42),
% 184.49/29.20  | | | | | |            (51), (58) are inconsistent by sub-proof #1213.
% 184.49/29.20  | | | | | | 
% 184.49/29.20  | | | | | End of split
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | Case 2:
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | |   (59)  all_56_10 = e2 & op(e2, e0) = e2
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | | ALPHA: (59) implies:
% 184.49/29.20  | | | | |   (60)  op(e2, e0) = e2
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | | REF_CLOSE: (18), (23), (30), (60) are inconsistent by sub-proof #1562.
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | End of split
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | End of split
% 184.49/29.20  | | | 
% 184.49/29.20  | | End of split
% 184.49/29.20  | | 
% 184.49/29.20  | End of split
% 184.49/29.20  | 
% 184.49/29.20  End of proof
% 184.49/29.20  
% 184.49/29.20  Sub-proof #155 shows that the following formulas are inconsistent:
% 184.49/29.20  ----------------------------------------------------------------
% 184.49/29.20    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.20    (2)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.49/29.20    (3)  op(e2, e0) = all_52_13
% 184.49/29.20    (4)   ~ (e3 = e2)
% 184.49/29.20    (5)   ~ (all_52_13 = e2)
% 184.49/29.20    (6)  op(e2, e1) = e3
% 184.49/29.20  
% 184.49/29.20  Begin of proof
% 184.49/29.20  | 
% 184.49/29.20  | BETA: splitting (2) gives:
% 184.49/29.20  | 
% 184.49/29.20  | Case 1:
% 184.49/29.20  | | 
% 184.49/29.20  | |   (7)  all_56_5 = e2 & op(e2, e1) = e2
% 184.49/29.20  | | 
% 184.49/29.20  | | ALPHA: (7) implies:
% 184.49/29.20  | |   (8)  op(e2, e1) = e2
% 184.49/29.20  | | 
% 184.49/29.20  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1297.
% 184.49/29.20  | | 
% 184.49/29.20  | Case 2:
% 184.49/29.20  | | 
% 184.49/29.20  | |   (9)  all_56_10 = e2 & op(e2, e0) = e2
% 184.49/29.20  | | 
% 184.49/29.20  | | ALPHA: (9) implies:
% 184.49/29.20  | |   (10)  op(e2, e0) = e2
% 184.49/29.20  | | 
% 184.49/29.20  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1562.
% 184.49/29.20  | | 
% 184.49/29.20  | End of split
% 184.49/29.20  | 
% 184.49/29.20  End of proof
% 184.49/29.20  
% 184.49/29.20  Sub-proof #156 shows that the following formulas are inconsistent:
% 184.49/29.20  ----------------------------------------------------------------
% 184.49/29.20    (1)  op(e1, e3) = e2
% 184.49/29.20    (2)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3)
% 184.49/29.20    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.20    (4)   ~ (e3 = e2)
% 184.49/29.20    (5)  op(e1, e2) = all_52_6
% 184.49/29.20    (6)   ~ (all_52_6 = e3)
% 184.49/29.20  
% 184.49/29.20  Begin of proof
% 184.49/29.20  | 
% 184.49/29.20  | BETA: splitting (2) gives:
% 184.49/29.20  | 
% 184.49/29.20  | Case 1:
% 184.49/29.20  | | 
% 184.49/29.20  | |   (7)  all_56_6 = e3 & op(e1, e3) = e3
% 184.49/29.20  | | 
% 184.49/29.20  | | ALPHA: (7) implies:
% 184.49/29.20  | |   (8)  op(e1, e3) = e3
% 184.49/29.20  | | 
% 184.49/29.20  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #1021.
% 184.49/29.20  | | 
% 184.49/29.20  | Case 2:
% 184.49/29.20  | | 
% 184.49/29.20  | |   (9)  all_56_7 = e3 & op(e1, e2) = e3
% 184.49/29.20  | | 
% 184.49/29.20  | | REF_CLOSE: (3), (5), (6), (9) are inconsistent by sub-proof #990.
% 184.49/29.20  | | 
% 184.49/29.20  | End of split
% 184.49/29.20  | 
% 184.49/29.20  End of proof
% 184.49/29.20  
% 184.49/29.20  Sub-proof #157 shows that the following formulas are inconsistent:
% 184.49/29.20  ----------------------------------------------------------------
% 184.49/29.20    (1)  all_56_13 = e3
% 184.49/29.20    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 184.49/29.20    (3)   ~ (e3 = e0)
% 184.49/29.20    (4)   ~ (all_52_6 = e0)
% 184.49/29.20    (5)   ~ (e2 = e0)
% 184.49/29.20    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.20    (7)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 184.49/29.20         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 184.49/29.20    (8)   ~ (all_52_4 = e2)
% 184.49/29.20    (9)  op(e3, e2) = all_52_4
% 184.49/29.20    (10)  op(e1, e2) = all_52_6
% 184.49/29.20    (11)   ~ (all_52_4 = e0)
% 184.49/29.20  
% 184.49/29.20  Begin of proof
% 184.49/29.20  | 
% 184.49/29.20  | BETA: splitting (2) gives:
% 184.49/29.20  | 
% 184.49/29.20  | Case 1:
% 184.49/29.20  | | 
% 184.49/29.20  | |   (12)  all_56_1 = e2 & op(e3, e2) = e2
% 184.49/29.20  | | 
% 184.49/29.20  | | ALPHA: (12) implies:
% 184.49/29.20  | |   (13)  op(e3, e2) = e2
% 184.49/29.20  | | 
% 184.49/29.20  | | REF_CLOSE: (6), (8), (9), (13) are inconsistent by sub-proof #1382.
% 184.49/29.20  | | 
% 184.49/29.20  | Case 2:
% 184.49/29.20  | | 
% 184.49/29.20  | |   (14)  all_56_3 = e2 & op(e2, e2) = e2
% 184.49/29.20  | | 
% 184.49/29.20  | | ALPHA: (14) implies:
% 184.49/29.20  | |   (15)  op(e2, e2) = e2
% 184.49/29.20  | | 
% 184.49/29.20  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (10), (11), (15) are
% 184.49/29.20  | |            inconsistent by sub-proof #896.
% 184.49/29.20  | | 
% 184.49/29.20  | End of split
% 184.49/29.20  | 
% 184.49/29.20  End of proof
% 184.49/29.20  
% 184.49/29.20  Sub-proof #158 shows that the following formulas are inconsistent:
% 184.49/29.20  ----------------------------------------------------------------
% 184.49/29.20    (1)  all_56_9 = e2
% 184.49/29.20    (2)   ~ (all_4_2 = e0)
% 184.49/29.20    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.49/29.20         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.49/29.20    (4)   ~ (e1 = e0)
% 184.49/29.20    (5)   ~ (all_52_9 = e0)
% 184.49/29.20    (6)  all_56_2 = e2
% 184.49/29.20    (7)   ~ (e3 = e0)
% 184.49/29.20    (8)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 184.49/29.20         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 184.49/29.20    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 184.49/29.20         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.49/29.20    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.49/29.20          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.49/29.20    (11)  op(e2, e1) = all_52_9
% 184.49/29.20    (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.49/29.20          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.49/29.20    (13)   ~ (all_52_6 = e0)
% 184.49/29.20    (14)   ~ (e2 = e0)
% 184.49/29.20    (15)   ~ (e3 = e1)
% 184.49/29.20    (16)  all_56_15 = e2
% 184.49/29.20    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.20            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.20    (18)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.49/29.20          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.49/29.20    (19)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 184.49/29.20          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 184.49/29.20    (20)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 184.49/29.20          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 184.49/29.20    (21)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 184.49/29.20          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 184.49/29.20    (22)  op(e2, e0) = all_52_13
% 184.49/29.20    (23)   ~ (e3 = e2)
% 184.49/29.20    (24)  op(e3, e3) = all_4_2
% 184.49/29.20    (25)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 184.49/29.20          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.49/29.20    (26)  op(e3, e2) = all_52_4
% 184.49/29.20    (27)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.49/29.20          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.49/29.20    (28)  op(e1, e2) = all_52_6
% 184.49/29.20    (29)   ~ (all_52_4 = e0)
% 184.49/29.20    (30)  op(e3, e3) = e3
% 184.49/29.20    (31)   ~ (all_52_13 = e0)
% 184.49/29.20    (32)   ~ (e2 = e1)
% 184.49/29.20    (33)   ~ (all_52_6 = e3)
% 184.49/29.20    (34)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.49/29.20              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.49/29.20                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.49/29.20                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.49/29.20    (35)   ~ (all_4_2 = e1)
% 184.49/29.20    (36)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.49/29.20          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.49/29.20    (37)  op(e1, e1) = e1
% 184.49/29.20  
% 184.49/29.20  Begin of proof
% 184.49/29.20  | 
% 184.49/29.20  | BETA: splitting (10) gives:
% 184.49/29.20  | 
% 184.49/29.20  | Case 1:
% 184.49/29.20  | | 
% 184.49/29.20  | |   (38)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 184.49/29.20  | |           e1)
% 184.49/29.20  | | 
% 184.49/29.20  | | BETA: splitting (38) gives:
% 184.49/29.20  | | 
% 184.49/29.20  | | Case 1:
% 184.49/29.20  | | | 
% 184.49/29.20  | | |   (39)  all_56_0 = e1 & op(e3, e3) = e1
% 184.49/29.20  | | | 
% 184.49/29.20  | | | ALPHA: (39) implies:
% 184.49/29.20  | | |   (40)  op(e3, e3) = e1
% 184.49/29.20  | | | 
% 184.49/29.20  | | | REF_CLOSE: (15), (17), (30), (40) are inconsistent by sub-proof #1600.
% 184.49/29.20  | | | 
% 184.49/29.20  | | Case 2:
% 184.49/29.20  | | | 
% 184.49/29.20  | | |   (41)  all_56_2 = e1 & op(e2, e3) = e1
% 184.49/29.20  | | | 
% 184.49/29.20  | | | REF_CLOSE: (6), (32), (41) are inconsistent by sub-proof #1416.
% 184.49/29.20  | | | 
% 184.49/29.20  | | End of split
% 184.49/29.20  | | 
% 184.49/29.20  | Case 2:
% 184.49/29.20  | | 
% 184.49/29.20  | |   (42)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 184.49/29.20  | |           e1)
% 184.49/29.20  | | 
% 184.49/29.20  | | BETA: splitting (42) gives:
% 184.49/29.20  | | 
% 184.49/29.20  | | Case 1:
% 184.49/29.20  | | | 
% 184.49/29.20  | | |   (43)  all_56_6 = e1 & op(e1, e3) = e1
% 184.49/29.20  | | | 
% 184.49/29.20  | | | ALPHA: (43) implies:
% 184.49/29.20  | | |   (44)  all_56_6 = e1
% 184.49/29.20  | | |   (45)  op(e1, e3) = e1
% 184.49/29.20  | | | 
% 184.49/29.20  | | | REF_CLOSE: (4), (7), (12), (13), (14), (15), (17), (20), (23), (27), (28),
% 184.49/29.20  | | |            (32), (37), (44), (45) are inconsistent by sub-proof #161.
% 184.49/29.20  | | | 
% 184.49/29.20  | | Case 2:
% 184.49/29.20  | | | 
% 184.49/29.20  | | |   (46)  all_56_12 = e1 & op(e0, e3) = e1
% 184.49/29.20  | | | 
% 184.49/29.20  | | | ALPHA: (46) implies:
% 184.49/29.20  | | |   (47)  all_56_12 = e1
% 184.49/29.20  | | |   (48)  op(e0, e3) = e1
% 184.49/29.20  | | | 
% 184.49/29.20  | | | BETA: splitting (27) gives:
% 184.49/29.20  | | | 
% 184.49/29.20  | | | Case 1:
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | |   (49)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2)
% 184.49/29.20  | | | |           = e3)
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | | BETA: splitting (49) gives:
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | | Case 1:
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | |   (50)  all_56_6 = e3 & op(e1, e3) = e3
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | | ALPHA: (50) implies:
% 184.49/29.20  | | | | |   (51)  all_56_6 = e3
% 184.49/29.20  | | | | |   (52)  op(e1, e3) = e3
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | | REF_CLOSE: (2), (4), (7), (9), (14), (17), (23), (24), (30), (32),
% 184.49/29.20  | | | | |            (36), (47), (48), (51), (52) are inconsistent by sub-proof
% 184.49/29.20  | | | | |            #1222.
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | Case 2:
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | |   (53)  all_56_7 = e3 & op(e1, e2) = e3
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | | REF_CLOSE: (17), (28), (33), (53) are inconsistent by sub-proof #990.
% 184.49/29.20  | | | | | 
% 184.49/29.20  | | | | End of split
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | Case 2:
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | |   (54)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0)
% 184.49/29.20  | | | |           = e3)
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (11), (14), (15), (16),
% 184.49/29.20  | | | |            (17), (18), (19), (21), (22), (23), (24), (25), (26), (29),
% 184.49/29.20  | | | |            (30), (31), (32), (34), (35), (37), (54) are inconsistent by
% 184.49/29.20  | | | |            sub-proof #159.
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | End of split
% 184.49/29.20  | | | 
% 184.49/29.20  | | End of split
% 184.49/29.20  | | 
% 184.49/29.20  | End of split
% 184.49/29.20  | 
% 184.49/29.20  End of proof
% 184.49/29.20  
% 184.49/29.20  Sub-proof #159 shows that the following formulas are inconsistent:
% 184.49/29.20  ----------------------------------------------------------------
% 184.49/29.20    (1)  all_56_9 = e2
% 184.49/29.20    (2)   ~ (all_4_2 = e0)
% 184.49/29.20    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.49/29.20         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.49/29.20    (4)   ~ (e1 = e0)
% 184.49/29.20    (5)   ~ (all_52_9 = e0)
% 184.49/29.20    (6)   ~ (e3 = e0)
% 184.49/29.20    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 184.49/29.20         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 184.49/29.20    (8)  op(e2, e1) = all_52_9
% 184.49/29.20    (9)   ~ (e2 = e0)
% 184.49/29.20    (10)   ~ (e3 = e1)
% 184.49/29.20    (11)  all_56_15 = e2
% 184.49/29.20    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.20            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.20    (13)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.49/29.20          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.49/29.20    (14)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 184.49/29.20          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 184.49/29.20    (15)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 184.49/29.20          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 184.49/29.20    (16)  op(e2, e0) = all_52_13
% 184.49/29.20    (17)   ~ (e3 = e2)
% 184.49/29.20    (18)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.49/29.20    (19)  op(e3, e3) = all_4_2
% 184.49/29.20    (20)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 184.49/29.20          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.49/29.20    (21)  op(e3, e2) = all_52_4
% 184.49/29.20    (22)   ~ (all_52_4 = e0)
% 184.49/29.20    (23)  op(e3, e3) = e3
% 184.49/29.20    (24)   ~ (all_52_13 = e0)
% 184.49/29.20    (25)   ~ (e2 = e1)
% 184.49/29.20    (26)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.49/29.20              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.49/29.20                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.49/29.20                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.49/29.20    (27)   ~ (all_4_2 = e1)
% 184.49/29.20    (28)  op(e1, e1) = e1
% 184.49/29.20  
% 184.49/29.20  Begin of proof
% 184.49/29.20  | 
% 184.49/29.20  | BETA: splitting (18) gives:
% 184.49/29.20  | 
% 184.49/29.20  | Case 1:
% 184.49/29.20  | | 
% 184.49/29.20  | |   (29)  all_56_8 = e3 & op(e1, e1) = e3
% 184.49/29.20  | | 
% 184.49/29.20  | | ALPHA: (29) implies:
% 184.49/29.20  | |   (30)  op(e1, e1) = e3
% 184.49/29.20  | | 
% 184.49/29.20  | | REF_CLOSE: (10), (12), (28), (30) are inconsistent by sub-proof #1541.
% 184.49/29.20  | | 
% 184.49/29.20  | Case 2:
% 184.49/29.20  | | 
% 184.49/29.20  | |   (31)  all_56_11 = e3 & op(e1, e0) = e3
% 184.49/29.20  | | 
% 184.49/29.20  | | ALPHA: (31) implies:
% 184.49/29.20  | |   (32)  all_56_11 = e3
% 184.49/29.20  | | 
% 184.49/29.20  | | BETA: splitting (7) gives:
% 184.49/29.20  | | 
% 184.49/29.20  | | Case 1:
% 184.49/29.20  | | | 
% 184.49/29.20  | | |   (33)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 184.49/29.20  | | |           e0)
% 184.49/29.20  | | | 
% 184.49/29.20  | | | REF_CLOSE: (2), (12), (19), (21), (22), (33) are inconsistent by sub-proof
% 184.49/29.20  | | |            #1060.
% 184.49/29.20  | | | 
% 184.49/29.20  | | Case 2:
% 184.49/29.20  | | | 
% 184.49/29.20  | | |   (34)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 184.49/29.20  | | |           e0)
% 184.49/29.20  | | | 
% 184.49/29.20  | | | BETA: splitting (34) gives:
% 184.49/29.20  | | | 
% 184.49/29.20  | | | Case 1:
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | |   (35)  all_56_4 = e0 & op(e3, e1) = e0
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | | ALPHA: (35) implies:
% 184.49/29.20  | | | |   (36)  all_56_4 = e0
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 184.49/29.20  | | | |            (14), (15), (16), (17), (19), (20), (23), (24), (25), (26),
% 184.49/29.20  | | | |            (27), (28), (32), (36) are inconsistent by sub-proof #160.
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | Case 2:
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | |   (37)  all_56_9 = e0 & op(e3, e0) = e0
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | | REF_CLOSE: (1), (9), (37) are inconsistent by sub-proof #1574.
% 184.49/29.20  | | | | 
% 184.49/29.20  | | | End of split
% 184.49/29.20  | | | 
% 184.49/29.20  | | End of split
% 184.49/29.20  | | 
% 184.49/29.20  | End of split
% 184.49/29.20  | 
% 184.49/29.20  End of proof
% 184.49/29.20  
% 184.49/29.20  Sub-proof #160 shows that the following formulas are inconsistent:
% 184.49/29.20  ----------------------------------------------------------------
% 184.49/29.20    (1)  all_56_9 = e2
% 184.49/29.20    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.49/29.20         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.49/29.20    (3)   ~ (e1 = e0)
% 184.49/29.20    (4)   ~ (all_52_9 = e0)
% 184.49/29.20    (5)   ~ (e3 = e0)
% 184.49/29.20    (6)  op(e2, e1) = all_52_9
% 184.49/29.20    (7)  all_56_11 = e3
% 184.49/29.20    (8)   ~ (e2 = e0)
% 184.49/29.20    (9)   ~ (e3 = e1)
% 184.49/29.20    (10)  all_56_15 = e2
% 184.49/29.20    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.20            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.20    (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.49/29.20          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.49/29.21    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 184.49/29.21          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 184.49/29.21    (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 184.49/29.21          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 184.49/29.21    (15)  op(e2, e0) = all_52_13
% 184.49/29.21    (16)   ~ (e3 = e2)
% 184.49/29.21    (17)  op(e3, e3) = all_4_2
% 184.49/29.21    (18)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 184.49/29.21          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.49/29.21    (19)  all_56_4 = e0
% 184.49/29.21    (20)  op(e3, e3) = e3
% 184.49/29.21    (21)   ~ (all_52_13 = e0)
% 184.49/29.21    (22)   ~ (e2 = e1)
% 184.49/29.21    (23)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.49/29.21              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.49/29.21                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.49/29.21                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.49/29.21    (24)   ~ (all_4_2 = e1)
% 184.49/29.21    (25)  op(e1, e1) = e1
% 184.49/29.21  
% 184.49/29.21  Begin of proof
% 184.49/29.21  | 
% 184.49/29.21  | BETA: splitting (23) gives:
% 184.49/29.21  | 
% 184.49/29.21  | Case 1:
% 184.49/29.21  | | 
% 184.49/29.21  | |   (26)  all_56_15 = e0 & op(e0, e0) = e0
% 184.49/29.21  | | 
% 184.49/29.21  | | ALPHA: (26) implies:
% 184.49/29.21  | |   (27)  all_56_15 = e0
% 184.49/29.21  | | 
% 184.49/29.21  | | COMBINE_EQS: (10), (27) imply:
% 184.49/29.21  | |   (28)  e2 = e0
% 184.49/29.21  | | 
% 184.49/29.21  | | SIMP: (28) implies:
% 184.49/29.21  | |   (29)  e2 = e0
% 184.49/29.21  | | 
% 184.49/29.21  | | COMBINE_EQS: (1), (29) imply:
% 184.49/29.21  | |   (30)  all_56_9 = e0
% 184.49/29.21  | | 
% 184.49/29.21  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (11), (12), (13), (14), (16),
% 184.49/29.21  | |            (17), (18), (19), (20), (22), (24), (25), (30) are inconsistent
% 184.49/29.21  | |            by sub-proof #572.
% 184.49/29.21  | | 
% 184.49/29.21  | Case 2:
% 184.49/29.21  | | 
% 184.49/29.21  | |   (31)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 184.49/29.21  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 184.49/29.21  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 184.49/29.21  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 184.49/29.21  | | 
% 184.49/29.21  | | ALPHA: (31) implies:
% 184.49/29.21  | |   (32)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 184.49/29.21  | |           e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.49/29.21  | | 
% 184.49/29.21  | | REF_CLOSE: (1), (5), (7), (8), (11), (15), (21), (32) are inconsistent by
% 184.49/29.21  | |            sub-proof #540.
% 184.49/29.21  | | 
% 184.49/29.21  | End of split
% 184.49/29.21  | 
% 184.49/29.21  End of proof
% 184.49/29.21  
% 184.49/29.21  Sub-proof #161 shows that the following formulas are inconsistent:
% 184.49/29.21  ----------------------------------------------------------------
% 184.49/29.21    (1)   ~ (e1 = e0)
% 184.49/29.21    (2)   ~ (e3 = e0)
% 184.49/29.21    (3)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.49/29.21         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.49/29.21    (4)   ~ (all_52_6 = e0)
% 184.49/29.21    (5)   ~ (e2 = e0)
% 184.49/29.21    (6)   ~ (e3 = e1)
% 184.49/29.21    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.21    (8)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 184.49/29.21         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 184.49/29.21    (9)  op(e1, e3) = e1
% 184.49/29.21    (10)   ~ (e3 = e2)
% 184.49/29.21    (11)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.49/29.21          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.49/29.21    (12)  op(e1, e2) = all_52_6
% 184.49/29.21    (13)   ~ (e2 = e1)
% 184.49/29.21    (14)  all_56_6 = e1
% 184.49/29.21    (15)  op(e1, e1) = e1
% 184.49/29.21  
% 184.49/29.21  Begin of proof
% 184.49/29.21  | 
% 184.49/29.21  | BETA: splitting (3) gives:
% 184.49/29.21  | 
% 184.49/29.21  | Case 1:
% 184.49/29.21  | | 
% 184.49/29.21  | |   (16)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 184.49/29.21  | |           e0)
% 184.49/29.21  | | 
% 184.49/29.21  | | BETA: splitting (16) gives:
% 184.49/29.21  | | 
% 184.49/29.21  | | Case 1:
% 184.49/29.21  | | | 
% 184.49/29.21  | | |   (17)  all_56_6 = e0 & op(e1, e3) = e0
% 184.49/29.21  | | | 
% 184.49/29.21  | | | ALPHA: (17) implies:
% 184.49/29.21  | | |   (18)  op(e1, e3) = e0
% 184.49/29.21  | | | 
% 184.49/29.21  | | | REF_CLOSE: (1), (7), (9), (18) are inconsistent by sub-proof #1251.
% 184.49/29.21  | | | 
% 184.49/29.21  | | Case 2:
% 184.49/29.21  | | | 
% 184.49/29.21  | | |   (19)  all_56_7 = e0 & op(e1, e2) = e0
% 184.49/29.21  | | | 
% 184.49/29.21  | | | REF_CLOSE: (4), (7), (12), (19) are inconsistent by sub-proof #1199.
% 184.49/29.21  | | | 
% 184.49/29.21  | | End of split
% 184.49/29.21  | | 
% 184.49/29.21  | Case 2:
% 184.49/29.21  | | 
% 184.49/29.21  | |   (20)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 184.49/29.21  | |           e0)
% 184.49/29.21  | | 
% 184.49/29.21  | | BETA: splitting (20) gives:
% 184.49/29.21  | | 
% 184.49/29.21  | | Case 1:
% 184.49/29.21  | | | 
% 184.49/29.21  | | |   (21)  all_56_8 = e0 & op(e1, e1) = e0
% 184.49/29.21  | | | 
% 184.49/29.21  | | | ALPHA: (21) implies:
% 184.49/29.21  | | |   (22)  op(e1, e1) = e0
% 184.49/29.21  | | | 
% 184.49/29.21  | | | REF_CLOSE: (1), (7), (15), (22) are inconsistent by sub-proof #1619.
% 184.49/29.21  | | | 
% 184.49/29.21  | | Case 2:
% 184.49/29.21  | | | 
% 184.49/29.21  | | |   (23)  all_56_11 = e0 & op(e1, e0) = e0
% 184.49/29.21  | | | 
% 184.49/29.21  | | | ALPHA: (23) implies:
% 184.49/29.21  | | |   (24)  all_56_11 = e0
% 184.49/29.21  | | | 
% 184.49/29.21  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 184.49/29.21  | | |            (14), (15), (24) are inconsistent by sub-proof #162.
% 184.49/29.21  | | | 
% 184.49/29.21  | | End of split
% 184.49/29.21  | | 
% 184.49/29.21  | End of split
% 184.49/29.21  | 
% 184.49/29.21  End of proof
% 184.49/29.21  
% 184.49/29.21  Sub-proof #162 shows that the following formulas are inconsistent:
% 184.49/29.21  ----------------------------------------------------------------
% 184.49/29.21    (1)   ~ (e1 = e0)
% 184.49/29.21    (2)   ~ (e3 = e0)
% 184.49/29.21    (3)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.49/29.21         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.49/29.21    (4)   ~ (all_52_6 = e0)
% 184.49/29.21    (5)   ~ (e2 = e0)
% 184.49/29.21    (6)   ~ (e3 = e1)
% 184.49/29.21    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.21    (8)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 184.49/29.21         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 184.49/29.21    (9)   ~ (e3 = e2)
% 184.49/29.21    (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.49/29.21          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.49/29.21    (11)  op(e1, e2) = all_52_6
% 184.49/29.21    (12)  all_56_11 = e0
% 184.49/29.21    (13)   ~ (e2 = e1)
% 184.49/29.21    (14)  all_56_6 = e1
% 184.49/29.21    (15)  op(e1, e1) = e1
% 184.49/29.21  
% 184.49/29.21  Begin of proof
% 184.49/29.21  | 
% 184.49/29.21  | BETA: splitting (10) gives:
% 184.49/29.21  | 
% 184.49/29.21  | Case 1:
% 184.49/29.21  | | 
% 184.49/29.21  | |   (16)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 184.49/29.21  | |           e3)
% 184.49/29.21  | | 
% 184.49/29.21  | | BETA: splitting (16) gives:
% 184.49/29.21  | | 
% 184.49/29.21  | | Case 1:
% 184.49/29.21  | | | 
% 184.49/29.21  | | |   (17)  all_56_6 = e3 & op(e1, e3) = e3
% 184.49/29.21  | | | 
% 184.49/29.21  | | | ALPHA: (17) implies:
% 184.49/29.21  | | |   (18)  all_56_6 = e3
% 184.49/29.21  | | | 
% 184.49/29.21  | | | REF_CLOSE: (6), (14), (18) are inconsistent by sub-proof #1546.
% 184.49/29.21  | | | 
% 184.49/29.21  | | Case 2:
% 184.49/29.21  | | | 
% 184.49/29.21  | | |   (19)  all_56_7 = e3 & op(e1, e2) = e3
% 184.49/29.21  | | | 
% 184.49/29.21  | | | ALPHA: (19) implies:
% 184.49/29.21  | | |   (20)  all_56_7 = e3
% 184.49/29.21  | | | 
% 184.49/29.21  | | | BETA: splitting (8) gives:
% 184.49/29.21  | | | 
% 184.49/29.21  | | | Case 1:
% 184.49/29.21  | | | | 
% 184.49/29.21  | | | |   (21)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2)
% 184.49/29.21  | | | |           = e2)
% 184.49/29.21  | | | | 
% 184.49/29.21  | | | | BETA: splitting (21) gives:
% 184.49/29.21  | | | | 
% 184.49/29.21  | | | | Case 1:
% 184.49/29.21  | | | | | 
% 184.49/29.21  | | | | |   (22)  all_56_6 = e2 & op(e1, e3) = e2
% 184.49/29.21  | | | | | 
% 184.49/29.21  | | | | | ALPHA: (22) implies:
% 184.49/29.21  | | | | |   (23)  all_56_6 = e2
% 184.49/29.21  | | | | | 
% 184.49/29.21  | | | | | REF_CLOSE: (13), (14), (23) are inconsistent by sub-proof #1215.
% 184.49/29.21  | | | | | 
% 184.49/29.21  | | | | Case 2:
% 184.49/29.21  | | | | | 
% 184.49/29.21  | | | | |   (24)  all_56_7 = e2 & op(e1, e2) = e2
% 184.49/29.21  | | | | | 
% 184.49/29.21  | | | | | REF_CLOSE: (9), (20), (24) are inconsistent by sub-proof #1072.
% 184.49/29.21  | | | | | 
% 184.49/29.21  | | | | End of split
% 184.49/29.21  | | | | 
% 184.49/29.21  | | | Case 2:
% 184.49/29.21  | | | | 
% 184.49/29.21  | | | |   (25)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0)
% 184.49/29.21  | | | |           = e2)
% 184.49/29.21  | | | | 
% 184.49/29.21  | | | | BETA: splitting (25) gives:
% 184.49/29.21  | | | | 
% 184.49/29.21  | | | | Case 1:
% 184.49/29.21  | | | | | 
% 184.49/29.21  | | | | |   (26)  all_56_8 = e2 & op(e1, e1) = e2
% 184.49/29.21  | | | | | 
% 184.49/29.21  | | | | | ALPHA: (26) implies:
% 184.49/29.21  | | | | |   (27)  op(e1, e1) = e2
% 184.49/29.21  | | | | | 
% 184.49/29.21  | | | | | REF_CLOSE: (7), (13), (15), (27) are inconsistent by sub-proof #1473.
% 184.49/29.21  | | | | | 
% 184.49/29.21  | | | | Case 2:
% 184.49/29.21  | | | | | 
% 184.49/29.21  | | | | |   (28)  all_56_11 = e2 & op(e1, e0) = e2
% 184.49/29.21  | | | | | 
% 184.49/29.21  | | | | | ALPHA: (28) implies:
% 184.49/29.21  | | | | |   (29)  all_56_11 = e2
% 184.49/29.21  | | | | | 
% 184.49/29.21  | | | | | REF_CLOSE: (1), (3), (4), (5), (7), (11), (14), (15), (29) are
% 184.49/29.21  | | | | |            inconsistent by sub-proof #468.
% 184.49/29.21  | | | | | 
% 184.49/29.21  | | | | End of split
% 184.49/29.21  | | | | 
% 184.49/29.21  | | | End of split
% 184.49/29.21  | | | 
% 184.49/29.21  | | End of split
% 184.49/29.21  | | 
% 184.49/29.21  | Case 2:
% 184.49/29.21  | | 
% 184.49/29.21  | |   (30)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 184.49/29.21  | |           e3)
% 184.49/29.21  | | 
% 184.49/29.21  | | REF_CLOSE: (2), (6), (7), (12), (15), (30) are inconsistent by sub-proof
% 184.49/29.21  | |            #447.
% 184.49/29.21  | | 
% 184.49/29.21  | End of split
% 184.49/29.21  | 
% 184.49/29.21  End of proof
% 184.49/29.21  
% 184.49/29.21  Sub-proof #163 shows that the following formulas are inconsistent:
% 184.49/29.21  ----------------------------------------------------------------
% 184.49/29.21    (1)   ~ (all_4_2 = e0)
% 184.49/29.21    (2)   ~ (all_4_2 = e2)
% 184.49/29.21    (3)  all_54_0 = all_4_2
% 184.49/29.21    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 184.49/29.21    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.21    (6)   ~ (all_52_4 = e2)
% 184.49/29.21    (7)  op(e3, e3) = all_4_2
% 184.49/29.21    (8)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 184.49/29.21    (9)  op(e3, e2) = all_52_4
% 184.49/29.21    (10)   ~ (all_4_2 = e1)
% 184.49/29.21  
% 184.49/29.21  Begin of proof
% 184.49/29.21  | 
% 184.49/29.21  | BETA: splitting (8) gives:
% 184.49/29.21  | 
% 184.49/29.21  | Case 1:
% 184.49/29.21  | | 
% 184.49/29.21  | |   (11)  all_56_0 = e2 & op(e3, e3) = e2
% 184.49/29.21  | | 
% 184.49/29.21  | | ALPHA: (11) implies:
% 184.49/29.21  | |   (12)  op(e3, e3) = e2
% 184.49/29.21  | | 
% 184.49/29.21  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (10), (12) are inconsistent by
% 184.49/29.21  | |            sub-proof #1350.
% 184.49/29.21  | | 
% 184.49/29.21  | Case 2:
% 184.49/29.21  | | 
% 184.49/29.21  | |   (13)  all_56_1 = e2 & op(e3, e2) = e2
% 184.49/29.21  | | 
% 184.49/29.21  | | ALPHA: (13) implies:
% 184.49/29.21  | |   (14)  op(e3, e2) = e2
% 184.49/29.21  | | 
% 184.49/29.21  | | REF_CLOSE: (5), (6), (9), (14) are inconsistent by sub-proof #1382.
% 184.49/29.21  | | 
% 184.49/29.21  | End of split
% 184.49/29.21  | 
% 184.49/29.21  End of proof
% 184.49/29.21  
% 184.49/29.21  Sub-proof #164 shows that the following formulas are inconsistent:
% 184.49/29.21  ----------------------------------------------------------------
% 184.49/29.21    (1)  op(e0, e3) = e3
% 184.49/29.21    (2)   ~ (all_4_2 = e0)
% 184.49/29.21    (3)   ~ (e1 = e0)
% 184.49/29.21    (4)  op(e1, e3) = all_52_2
% 184.49/29.21    (5)   ~ (all_4_2 = e2)
% 184.49/29.21    (6)  all_54_0 = all_4_2
% 184.49/29.21    (7)   ~ (e3 = e0)
% 184.49/29.21    (8)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 184.49/29.21         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.49/29.21    (9)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.49/29.21         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.49/29.21    (10)   ~ (e2 = e0)
% 184.49/29.21    (11)   ~ (e3 = e1)
% 184.49/29.21    (12)  op(e0, e3) = all_52_3
% 184.49/29.21    (13)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 184.49/29.21    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.21            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.21    (15)  all_56_12 = e3
% 184.49/29.21    (16)   ~ (e3 = e2)
% 184.49/29.21    (17)  op(e3, e3) = all_4_2
% 184.49/29.21    (18)  op(e3, e3) = e3
% 184.49/29.21    (19)   ~ (e2 = e1)
% 184.49/29.21    (20)   ~ (all_4_2 = e1)
% 184.49/29.21    (21)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.49/29.21          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.49/29.21    (22)   ~ (all_52_2 = e1)
% 184.49/29.21  
% 184.49/29.21  Begin of proof
% 184.49/29.21  | 
% 184.49/29.21  | BETA: splitting (8) gives:
% 184.49/29.21  | 
% 184.49/29.21  | Case 1:
% 184.49/29.21  | | 
% 184.49/29.21  | |   (23)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 184.49/29.21  | |           e2)
% 184.49/29.21  | | 
% 184.49/29.21  | | BETA: splitting (23) gives:
% 184.49/29.21  | | 
% 184.49/29.21  | | Case 1:
% 184.49/29.21  | | | 
% 184.49/29.21  | | |   (24)  all_56_0 = e2 & op(e3, e3) = e2
% 184.49/29.21  | | | 
% 184.49/29.21  | | | ALPHA: (24) implies:
% 184.49/29.21  | | |   (25)  op(e3, e3) = e2
% 184.49/29.21  | | | 
% 184.49/29.21  | | | REF_CLOSE: (2), (5), (6), (13), (14), (17), (20), (25) are inconsistent by
% 184.49/29.21  | | |            sub-proof #1350.
% 184.49/29.21  | | | 
% 184.49/29.21  | | Case 2:
% 184.49/29.21  | | | 
% 184.49/29.21  | | |   (26)  all_56_2 = e2 & op(e2, e3) = e2
% 184.49/29.21  | | | 
% 184.49/29.21  | | | ALPHA: (26) implies:
% 184.49/29.21  | | |   (27)  all_56_2 = e2
% 184.49/29.21  | | |   (28)  op(e2, e3) = e2
% 184.49/29.21  | | | 
% 184.49/29.21  | | | REF_CLOSE: (1), (2), (3), (7), (9), (10), (11), (12), (14), (15), (17),
% 184.49/29.21  | | |            (18), (19), (21), (27), (28) are inconsistent by sub-proof
% 184.49/29.21  | | |            #243.
% 184.49/29.21  | | | 
% 184.49/29.21  | | End of split
% 184.49/29.21  | | 
% 184.49/29.21  | Case 2:
% 184.49/29.21  | | 
% 184.49/29.21  | |   (29)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 184.49/29.21  | |           e2)
% 184.49/29.21  | | 
% 184.49/29.21  | | BETA: splitting (29) gives:
% 184.49/29.21  | | 
% 184.49/29.21  | | Case 1:
% 184.49/29.21  | | | 
% 184.49/29.21  | | |   (30)  all_56_6 = e2 & op(e1, e3) = e2
% 184.49/29.21  | | | 
% 184.49/29.21  | | | ALPHA: (30) implies:
% 184.49/29.21  | | |   (31)  all_56_6 = e2
% 184.49/29.21  | | | 
% 184.49/29.21  | | | REF_CLOSE: (1), (2), (3), (4), (7), (9), (10), (11), (12), (14), (15),
% 184.49/29.21  | | |            (17), (18), (21), (22), (31) are inconsistent by sub-proof
% 184.49/29.21  | | |            #1011.
% 184.49/29.21  | | | 
% 184.49/29.21  | | Case 2:
% 184.49/29.21  | | | 
% 184.49/29.21  | | |   (32)  all_56_12 = e2 & op(e0, e3) = e2
% 184.49/29.21  | | | 
% 184.49/29.21  | | | ALPHA: (32) implies:
% 184.49/29.21  | | |   (33)  op(e0, e3) = e2
% 184.49/29.21  | | | 
% 184.49/29.21  | | | REF_CLOSE: (1), (14), (16), (33) are inconsistent by sub-proof #1039.
% 184.49/29.21  | | | 
% 184.49/29.21  | | End of split
% 184.49/29.21  | | 
% 184.49/29.21  | End of split
% 184.49/29.21  | 
% 184.49/29.21  End of proof
% 184.49/29.21  
% 184.49/29.21  Sub-proof #165 shows that the following formulas are inconsistent:
% 184.49/29.21  ----------------------------------------------------------------
% 184.49/29.21    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.21    (2)   ~ (all_52_6 = e2)
% 184.49/29.21    (3)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.49/29.21    (4)  op(e1, e2) = all_52_6
% 184.49/29.21    (5)   ~ (all_52_7 = e2)
% 184.49/29.21    (6)  op(e0, e2) = all_52_7
% 184.49/29.21  
% 184.49/29.21  Begin of proof
% 184.49/29.21  | 
% 184.49/29.21  | BETA: splitting (3) gives:
% 184.49/29.21  | 
% 184.49/29.21  | Case 1:
% 184.49/29.21  | | 
% 184.49/29.21  | |   (7)  all_56_7 = e2 & op(e1, e2) = e2
% 184.49/29.21  | | 
% 184.49/29.21  | | ALPHA: (7) implies:
% 184.49/29.21  | |   (8)  op(e1, e2) = e2
% 184.49/29.21  | | 
% 184.49/29.21  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1614.
% 184.49/29.21  | | 
% 184.49/29.21  | Case 2:
% 184.49/29.21  | | 
% 184.49/29.21  | |   (9)  all_56_13 = e2 & op(e0, e2) = e2
% 184.49/29.21  | | 
% 184.49/29.21  | | ALPHA: (9) implies:
% 184.49/29.21  | |   (10)  op(e0, e2) = e2
% 184.49/29.21  | | 
% 184.49/29.21  | | REF_CLOSE: (1), (5), (6), (10) are inconsistent by sub-proof #1613.
% 184.49/29.21  | | 
% 184.49/29.21  | End of split
% 184.49/29.21  | 
% 184.49/29.21  End of proof
% 184.49/29.21  
% 184.49/29.21  Sub-proof #166 shows that the following formulas are inconsistent:
% 184.49/29.21  ----------------------------------------------------------------
% 184.49/29.21    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.21    (2)  op(e3, e2) = e3
% 184.49/29.21    (3)  op(e3, e2) = e2
% 184.49/29.21    (4)   ~ (e3 = e2)
% 184.49/29.21  
% 184.49/29.21  Begin of proof
% 184.49/29.21  | 
% 184.49/29.21  | GROUND_INST: instantiating (1) with e2, e3, e2, e3, simplifying with (2), (3)
% 184.49/29.21  |              gives:
% 184.49/29.21  |   (5)  e3 = e2
% 184.49/29.21  | 
% 184.49/29.21  | REDUCE: (4), (5) imply:
% 184.49/29.21  |   (6)  $false
% 184.49/29.21  | 
% 184.49/29.21  | CLOSE: (6) is inconsistent.
% 184.49/29.21  | 
% 184.49/29.21  End of proof
% 184.49/29.21  
% 184.49/29.21  Sub-proof #167 shows that the following formulas are inconsistent:
% 184.49/29.21  ----------------------------------------------------------------
% 184.49/29.21    (1)   ~ (e3 = e0)
% 184.49/29.21    (2)  op(e3, e0) = all_52_12
% 184.49/29.21    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.21    (4)   ~ (all_52_12 = e3)
% 184.49/29.21    (5)  all_56_10 = e0
% 184.49/29.21    (6)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.49/29.21  
% 184.49/29.21  Begin of proof
% 184.49/29.21  | 
% 184.49/29.21  | BETA: splitting (6) gives:
% 184.49/29.21  | 
% 184.49/29.21  | Case 1:
% 184.49/29.21  | | 
% 184.49/29.21  | |   (7)  all_56_9 = e3 & op(e3, e0) = e3
% 184.49/29.21  | | 
% 184.49/29.21  | | ALPHA: (7) implies:
% 184.49/29.21  | |   (8)  op(e3, e0) = e3
% 184.49/29.21  | | 
% 184.49/29.21  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1615.
% 184.49/29.22  | | 
% 184.49/29.22  | Case 2:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (9)  all_56_10 = e3 & op(e2, e0) = e3
% 184.49/29.22  | | 
% 184.49/29.22  | | ALPHA: (9) implies:
% 184.49/29.22  | |   (10)  all_56_10 = e3
% 184.49/29.22  | | 
% 184.49/29.22  | | COMBINE_EQS: (5), (10) imply:
% 184.49/29.22  | |   (11)  e3 = e0
% 184.49/29.22  | | 
% 184.49/29.22  | | REDUCE: (1), (11) imply:
% 184.49/29.22  | |   (12)  $false
% 184.49/29.22  | | 
% 184.49/29.22  | | CLOSE: (12) is inconsistent.
% 184.49/29.22  | | 
% 184.49/29.22  | End of split
% 184.49/29.22  | 
% 184.49/29.22  End of proof
% 184.49/29.22  
% 184.49/29.22  Sub-proof #168 shows that the following formulas are inconsistent:
% 184.49/29.22  ----------------------------------------------------------------
% 184.49/29.22    (1)  all_56_9 = e2
% 184.49/29.22    (2)   ~ (e1 = e0)
% 184.49/29.22    (3)   ~ (e3 = e0)
% 184.49/29.22    (4)  all_56_11 = e3
% 184.49/29.22    (5)   ~ (e2 = e0)
% 184.49/29.22    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.22    (7)  all_56_10 = e1
% 184.49/29.22    (8)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.49/29.22             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 184.49/29.22               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.49/29.22               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.49/29.22    (9)  op(e0, e0) = e2
% 184.49/29.22  
% 184.49/29.22  Begin of proof
% 184.49/29.22  | 
% 184.49/29.22  | BETA: splitting (8) gives:
% 184.49/29.22  | 
% 184.49/29.22  | Case 1:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (10)  all_56_15 = e0 & op(e0, e0) = e0
% 184.49/29.22  | | 
% 184.49/29.22  | | ALPHA: (10) implies:
% 184.49/29.22  | |   (11)  op(e0, e0) = e0
% 184.49/29.22  | | 
% 184.49/29.22  | | REF_CLOSE: (5), (6), (9), (11) are inconsistent by sub-proof #228.
% 184.49/29.22  | | 
% 184.49/29.22  | Case 2:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (12)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 184.49/29.22  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 184.49/29.22  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 184.49/29.22  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 184.49/29.22  | | 
% 184.49/29.22  | | ALPHA: (12) implies:
% 184.49/29.22  | |   (13)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 184.49/29.22  | |           e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.49/29.22  | | 
% 184.49/29.22  | | BETA: splitting (13) gives:
% 184.49/29.22  | | 
% 184.49/29.22  | | Case 1:
% 184.49/29.22  | | | 
% 184.49/29.22  | | |   (14)  all_56_9 = e0 & op(e3, e0) = e0
% 184.49/29.22  | | | 
% 184.49/29.22  | | | ALPHA: (14) implies:
% 184.49/29.22  | | |   (15)  all_56_9 = e0
% 184.49/29.22  | | | 
% 184.49/29.22  | | | REF_CLOSE: (1), (5), (15) are inconsistent by sub-proof #1570.
% 184.49/29.22  | | | 
% 184.49/29.22  | | Case 2:
% 184.49/29.22  | | | 
% 184.49/29.22  | | |   (16)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.49/29.22  | | |           = e0)
% 184.49/29.22  | | | 
% 184.49/29.22  | | | BETA: splitting (16) gives:
% 184.49/29.22  | | | 
% 184.49/29.22  | | | Case 1:
% 184.49/29.22  | | | | 
% 184.49/29.22  | | | |   (17)  all_56_10 = e0 & op(e2, e0) = e0
% 184.49/29.22  | | | | 
% 184.49/29.22  | | | | REF_CLOSE: (2), (7), (17) are inconsistent by sub-proof #1409.
% 184.49/29.22  | | | | 
% 184.49/29.22  | | | Case 2:
% 184.49/29.22  | | | | 
% 184.49/29.22  | | | |   (18)  all_56_11 = e0 & op(e1, e0) = e0
% 184.49/29.22  | | | | 
% 184.49/29.22  | | | | ALPHA: (18) implies:
% 184.49/29.22  | | | |   (19)  all_56_11 = e0
% 184.49/29.22  | | | | 
% 184.49/29.22  | | | | REF_CLOSE: (3), (4), (19) are inconsistent by sub-proof #1163.
% 184.49/29.22  | | | | 
% 184.49/29.22  | | | End of split
% 184.49/29.22  | | | 
% 184.49/29.22  | | End of split
% 184.49/29.22  | | 
% 184.49/29.22  | End of split
% 184.49/29.22  | 
% 184.49/29.22  End of proof
% 184.49/29.22  
% 184.49/29.22  Sub-proof #169 shows that the following formulas are inconsistent:
% 184.49/29.22  ----------------------------------------------------------------
% 184.49/29.22    (1)  op(e3, e3) = e2
% 184.49/29.22    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.22    (3)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 184.49/29.22    (4)   ~ (e2 = e1)
% 184.49/29.22    (5)  op(e2, e2) = e2
% 184.49/29.22  
% 184.49/29.22  Begin of proof
% 184.49/29.22  | 
% 184.49/29.22  | BETA: splitting (3) gives:
% 184.49/29.22  | 
% 184.49/29.22  | Case 1:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (6)  all_57_28 = e1 & op(e3, e3) = e1
% 184.49/29.22  | | 
% 184.49/29.22  | | ALPHA: (6) implies:
% 184.49/29.22  | |   (7)  op(e3, e3) = e1
% 184.49/29.22  | | 
% 184.49/29.22  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #1582.
% 184.49/29.22  | | 
% 184.49/29.22  | Case 2:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (8)  all_57_29 = e1 & op(e2, e2) = e1
% 184.49/29.22  | | 
% 184.49/29.22  | | ALPHA: (8) implies:
% 184.49/29.22  | |   (9)  op(e2, e2) = e1
% 184.49/29.22  | | 
% 184.49/29.22  | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #1487.
% 184.49/29.22  | | 
% 184.49/29.22  | End of split
% 184.49/29.22  | 
% 184.49/29.22  End of proof
% 184.49/29.22  
% 184.49/29.22  Sub-proof #170 shows that the following formulas are inconsistent:
% 184.49/29.22  ----------------------------------------------------------------
% 184.49/29.22    (1)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 184.49/29.22           all_57_27 = e0 & op(e1, e0) = e0)
% 184.49/29.22    (2)   ~ (all_57_27 = e0)
% 184.49/29.22    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.22    (4)  op(e2, e0) = all_52_13
% 184.49/29.22    (5)   ~ (all_52_13 = e0)
% 184.49/29.22  
% 184.49/29.22  Begin of proof
% 184.49/29.22  | 
% 184.49/29.22  | BETA: splitting (1) gives:
% 184.49/29.22  | 
% 184.49/29.22  | Case 1:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (6)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 184.49/29.22  | | 
% 184.49/29.22  | | ALPHA: (6) implies:
% 184.49/29.22  | |   (7)  op(e2, e0) = e0
% 184.49/29.22  | | 
% 184.49/29.22  | | REF_CLOSE: (3), (4), (5), (7) are inconsistent by sub-proof #1504.
% 184.49/29.22  | | 
% 184.49/29.22  | Case 2:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (8)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 184.49/29.22  | | 
% 184.49/29.22  | | ALPHA: (8) implies:
% 184.49/29.22  | |   (9)  all_57_27 = e0
% 184.49/29.22  | | 
% 184.49/29.22  | | REDUCE: (2), (9) imply:
% 184.49/29.22  | |   (10)  $false
% 184.49/29.22  | | 
% 184.49/29.22  | | CLOSE: (10) is inconsistent.
% 184.49/29.22  | | 
% 184.49/29.22  | End of split
% 184.49/29.22  | 
% 184.49/29.22  End of proof
% 184.49/29.22  
% 184.49/29.22  Sub-proof #171 shows that the following formulas are inconsistent:
% 184.49/29.22  ----------------------------------------------------------------
% 184.49/29.22    (1)  op(e0, e0) = all_6_2
% 184.49/29.22    (2)  all_56_10 = e3
% 184.49/29.22    (3)   ~ (all_6_2 = e1)
% 184.49/29.22    (4)  op(e1, e0) = all_52_14
% 184.49/29.22    (5)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 184.49/29.22         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 184.49/29.22    (6)   ~ (all_52_14 = e1)
% 184.49/29.22    (7)   ~ (e3 = e1)
% 184.49/29.22    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.22    (9)  all_54_11 = all_52_14
% 184.49/29.22    (10)  op(e3, e0) = e1
% 184.49/29.22    (11)  op(e3, e0) = e0
% 184.49/29.22    (12)  all_54_11 = e1 | all_54_11 = e0
% 184.49/29.22    (13)  all_56_9 = e1
% 184.49/29.22  
% 184.49/29.22  Begin of proof
% 184.49/29.22  | 
% 184.49/29.22  | BETA: splitting (12) gives:
% 184.49/29.22  | 
% 184.49/29.22  | Case 1:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (14)  all_54_11 = e1
% 184.49/29.22  | | 
% 184.49/29.22  | | REF_CLOSE: (6), (9), (14) are inconsistent by sub-proof #1114.
% 184.49/29.22  | | 
% 184.49/29.22  | Case 2:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (15)  all_54_11 = e0
% 184.49/29.22  | | 
% 184.49/29.22  | | COMBINE_EQS: (9), (15) imply:
% 184.49/29.22  | |   (16)  all_52_14 = e0
% 184.49/29.22  | | 
% 184.49/29.22  | | SIMP: (16) implies:
% 184.49/29.22  | |   (17)  all_52_14 = e0
% 184.49/29.22  | | 
% 184.49/29.22  | | REDUCE: (6), (17) imply:
% 184.49/29.22  | |   (18)   ~ (e1 = e0)
% 184.49/29.22  | | 
% 184.49/29.22  | | SIMP: (18) implies:
% 184.49/29.22  | |   (19)   ~ (e1 = e0)
% 184.49/29.22  | | 
% 184.49/29.22  | | GROUND_INST: instantiating (8) with e0, e1, e0, e3, simplifying with (10),
% 184.49/29.22  | |              (11) gives:
% 184.49/29.22  | |   (20)  e1 = e0
% 184.49/29.22  | | 
% 184.49/29.22  | | COMBINE_EQS: (13), (20) imply:
% 184.49/29.22  | |   (21)  all_56_9 = e0
% 184.49/29.22  | | 
% 184.49/29.22  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (19), (21) are
% 184.49/29.22  | |            inconsistent by sub-proof #1483.
% 184.49/29.22  | | 
% 184.49/29.22  | End of split
% 184.49/29.22  | 
% 184.49/29.22  End of proof
% 184.49/29.22  
% 184.49/29.22  Sub-proof #172 shows that the following formulas are inconsistent:
% 184.49/29.22  ----------------------------------------------------------------
% 184.49/29.22    (1)  all_57_24 = e0
% 184.49/29.22    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.22    (3)   ~ (all_57_11 = e0)
% 184.49/29.22    (4)  op(e1, e0) = all_57_24
% 184.49/29.22    (5)  op(e1, all_57_24) = all_57_11
% 184.49/29.22  
% 184.49/29.22  Begin of proof
% 184.49/29.22  | 
% 184.49/29.22  | REDUCE: (1), (5) imply:
% 184.49/29.22  |   (6)  op(e1, e0) = all_57_11
% 184.49/29.22  | 
% 184.49/29.22  | REDUCE: (1), (4) imply:
% 184.49/29.22  |   (7)  op(e1, e0) = e0
% 184.49/29.22  | 
% 184.49/29.22  | GROUND_INST: instantiating (2) with e0, all_57_11, e0, e1, simplifying with
% 184.49/29.22  |              (6), (7) gives:
% 184.49/29.22  |   (8)  all_57_11 = e0
% 184.49/29.22  | 
% 184.49/29.22  | REDUCE: (3), (8) imply:
% 184.49/29.22  |   (9)  $false
% 184.49/29.22  | 
% 184.49/29.22  | CLOSE: (9) is inconsistent.
% 184.49/29.22  | 
% 184.49/29.22  End of proof
% 184.49/29.22  
% 184.49/29.22  Sub-proof #173 shows that the following formulas are inconsistent:
% 184.49/29.22  ----------------------------------------------------------------
% 184.49/29.22    (1)  op(e3, e0) = all_52_12
% 184.49/29.22    (2)   ~ (all_52_12 = all_52_13)
% 184.49/29.22    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.22    (4)   ~ (all_52_13 = e1)
% 184.49/29.22    (5)  all_54_7 = all_52_13
% 184.49/29.22    (6)   ~ (all_52_4 = e2)
% 184.49/29.22    (7)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 184.49/29.22    (8)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 184.49/29.22             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.49/29.22           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.49/29.22             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.49/29.22           all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 184.49/29.22           & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.49/29.22           $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2
% 184.49/29.22           & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.49/29.22           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.49/29.22             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.49/29.22             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 184.49/29.22           op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 184.49/29.22           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.49/29.22           $i(all_57_29))
% 184.49/29.22    (9)  op(e3, e2) = all_52_4
% 184.49/29.22    (10)   ~ (all_52_13 = e2)
% 184.49/29.22    (11)   ~ (all_52_13 = e0)
% 184.49/29.22  
% 184.49/29.22  Begin of proof
% 184.49/29.22  | 
% 184.49/29.22  | BETA: splitting (8) gives:
% 184.49/29.22  | 
% 184.49/29.22  | Case 1:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (12)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~
% 184.49/29.22  | |         (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~
% 184.49/29.22  | |         (all_57_28 = e0) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 184.49/29.22  | |         = all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 184.49/29.22  | |         op(e3, e2) = all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 184.49/29.22  | |         op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 184.49/29.22  | |         $i(all_57_16) & $i(all_57_17) & $i(all_57_28)
% 184.49/29.22  | | 
% 184.49/29.22  | | ALPHA: (12) implies:
% 184.49/29.22  | |   (13)  op(e3, e0) = e3
% 184.49/29.22  | | 
% 184.49/29.22  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (10), (11), (13) are inconsistent
% 184.49/29.22  | |            by sub-proof #943.
% 184.49/29.22  | | 
% 184.49/29.22  | Case 2:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (14)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~
% 184.49/29.22  | |         (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~
% 184.49/29.22  | |         (all_57_29 = e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 &
% 184.49/29.22  | |         op(e2, all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.49/29.22  | |           e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 184.49/29.22  | |         op(e2, e0) = all_57_21 & $i(all_57_5) & $i(all_57_6) & $i(all_57_7)
% 184.49/29.22  | |         & $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 184.49/29.22  | | 
% 184.49/29.22  | | ALPHA: (14) implies:
% 184.49/29.22  | |   (15)  op(e3, e2) = e2
% 184.49/29.22  | | 
% 184.49/29.22  | | REF_CLOSE: (3), (6), (9), (15) are inconsistent by sub-proof #1382.
% 184.49/29.22  | | 
% 184.49/29.22  | End of split
% 184.49/29.22  | 
% 184.49/29.22  End of proof
% 184.49/29.22  
% 184.49/29.22  Sub-proof #174 shows that the following formulas are inconsistent:
% 184.49/29.22  ----------------------------------------------------------------
% 184.49/29.22    (1)   ~ (all_52_3 = e1)
% 184.49/29.22    (2)  op(e1, e3) = all_52_2
% 184.49/29.22    (3)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.49/29.22    (4)  op(e0, e3) = all_52_3
% 184.49/29.22    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.22    (6)   ~ (all_52_2 = e1)
% 184.49/29.22  
% 184.49/29.22  Begin of proof
% 184.49/29.22  | 
% 184.49/29.22  | BETA: splitting (3) gives:
% 184.49/29.22  | 
% 184.49/29.22  | Case 1:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (7)  all_56_6 = e1 & op(e1, e3) = e1
% 184.49/29.22  | | 
% 184.49/29.22  | | ALPHA: (7) implies:
% 184.49/29.22  | |   (8)  op(e1, e3) = e1
% 184.49/29.22  | | 
% 184.49/29.22  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1597.
% 184.49/29.22  | | 
% 184.49/29.22  | Case 2:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (9)  all_56_12 = e1 & op(e0, e3) = e1
% 184.49/29.22  | | 
% 184.49/29.22  | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #1106.
% 184.49/29.22  | | 
% 184.49/29.22  | End of split
% 184.49/29.22  | 
% 184.49/29.22  End of proof
% 184.49/29.22  
% 184.49/29.22  Sub-proof #175 shows that the following formulas are inconsistent:
% 184.49/29.22  ----------------------------------------------------------------
% 184.49/29.22    (1)   ~ (all_52_3 = e1)
% 184.49/29.22    (2)   ~ (all_52_3 = e2)
% 184.49/29.22    (3)   ~ (all_52_3 = e0)
% 184.49/29.22    (4)  all_54_12 = all_52_3
% 184.49/29.22    (5)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 184.49/29.22  
% 184.49/29.22  Begin of proof
% 184.49/29.22  | 
% 184.49/29.22  | BETA: splitting (5) gives:
% 184.49/29.22  | 
% 184.49/29.22  | Case 1:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (6)  all_54_12 = e2
% 184.49/29.22  | | 
% 184.49/29.22  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #709.
% 184.49/29.22  | | 
% 184.49/29.22  | Case 2:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (7)  all_54_12 = e1 | all_54_12 = e0
% 184.49/29.22  | | 
% 184.49/29.22  | | REF_CLOSE: (1), (3), (4), (7) are inconsistent by sub-proof #1255.
% 184.49/29.22  | | 
% 184.49/29.22  | End of split
% 184.49/29.22  | 
% 184.49/29.22  End of proof
% 184.49/29.22  
% 184.49/29.22  Sub-proof #176 shows that the following formulas are inconsistent:
% 184.49/29.22  ----------------------------------------------------------------
% 184.49/29.22    (1)  all_56_14 = e3 & op(e0, e1) = e3
% 184.49/29.22    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.22    (3)  op(e0, e1) = all_52_11
% 184.49/29.22    (4)   ~ (all_52_11 = e3)
% 184.49/29.22  
% 184.49/29.22  Begin of proof
% 184.49/29.22  | 
% 184.49/29.22  | ALPHA: (1) implies:
% 184.49/29.22  |   (5)  op(e0, e1) = e3
% 184.49/29.22  | 
% 184.49/29.22  | GROUND_INST: instantiating (2) with all_52_11, e3, e1, e0, simplifying with
% 184.49/29.22  |              (3), (5) gives:
% 184.49/29.22  |   (6)  all_52_11 = e3
% 184.49/29.22  | 
% 184.49/29.22  | REDUCE: (4), (6) imply:
% 184.49/29.22  |   (7)  $false
% 184.49/29.22  | 
% 184.49/29.22  | CLOSE: (7) is inconsistent.
% 184.49/29.22  | 
% 184.49/29.22  End of proof
% 184.49/29.22  
% 184.49/29.22  Sub-proof #177 shows that the following formulas are inconsistent:
% 184.49/29.22  ----------------------------------------------------------------
% 184.49/29.22    (1)  all_57_25 = e3
% 184.49/29.22    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.22    (3)   ~ (all_57_24 = e1)
% 184.49/29.22    (4)  op(e1, e0) = all_57_24
% 184.49/29.22    (5)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 =
% 184.49/29.22             e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0)
% 184.49/29.22           & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.49/29.22             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.49/29.22           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 184.49/29.22           $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 184.49/29.22           $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 184.49/29.22           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 184.49/29.22           & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 184.49/29.22           op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.49/29.22           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.49/29.22           $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 184.49/29.22           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.49/29.22               op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 184.49/29.22               e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 184.49/29.22  
% 184.49/29.22  Begin of proof
% 184.49/29.22  | 
% 184.49/29.22  | BETA: splitting (5) gives:
% 184.49/29.22  | 
% 184.49/29.22  | Case 1:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (6)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 184.49/29.22  | |        (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.49/29.22  | |        (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) =
% 184.49/29.22  | |        all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 184.49/29.22  | |        op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.49/29.22  | |        $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.49/29.22  | |        $i(all_57_23) & $i(all_57_30)
% 184.49/29.22  | | 
% 184.49/29.22  | | ALPHA: (6) implies:
% 184.49/29.22  | |   (7)  op(e1, e0) = e1
% 184.49/29.22  | | 
% 184.49/29.22  | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #1423.
% 184.49/29.22  | | 
% 184.49/29.22  | Case 2:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (8)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.49/29.22  | |        (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 184.49/29.22  | |        = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 184.49/29.22  | |        all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.49/29.22  | |          e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.49/29.22  | |        $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.49/29.22  | |        (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0)
% 184.49/29.22  | |          | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24
% 184.49/29.22  | |            = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 184.49/29.22  | | 
% 184.49/29.22  | | ALPHA: (8) implies:
% 184.49/29.22  | |   (9)   ~ (all_57_12 = e3)
% 184.49/29.22  | |   (10)  op(e0, e3) = all_57_25
% 184.49/29.22  | |   (11)  op(e0, all_57_25) = all_57_12
% 184.49/29.22  | | 
% 184.49/29.22  | | REF_CLOSE: (1), (2), (9), (10), (11) are inconsistent by sub-proof #178.
% 184.49/29.22  | | 
% 184.49/29.22  | End of split
% 184.49/29.22  | 
% 184.49/29.22  End of proof
% 184.49/29.22  
% 184.49/29.22  Sub-proof #178 shows that the following formulas are inconsistent:
% 184.49/29.22  ----------------------------------------------------------------
% 184.49/29.22    (1)  op(e0, e3) = all_57_25
% 184.49/29.22    (2)  all_57_25 = e3
% 184.49/29.22    (3)  op(e0, all_57_25) = all_57_12
% 184.49/29.22    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.22    (5)   ~ (all_57_12 = e3)
% 184.49/29.22  
% 184.49/29.22  Begin of proof
% 184.49/29.22  | 
% 184.49/29.22  | REDUCE: (2), (3) imply:
% 184.49/29.22  |   (6)  op(e0, e3) = all_57_12
% 184.49/29.22  | 
% 184.49/29.22  | REDUCE: (1), (2) imply:
% 184.49/29.22  |   (7)  op(e0, e3) = e3
% 184.49/29.22  | 
% 184.49/29.22  | GROUND_INST: instantiating (4) with e3, all_57_12, e3, e0, simplifying with
% 184.49/29.22  |              (6), (7) gives:
% 184.49/29.22  |   (8)  all_57_12 = e3
% 184.49/29.22  | 
% 184.49/29.22  | REDUCE: (5), (8) imply:
% 184.49/29.22  |   (9)  $false
% 184.49/29.22  | 
% 184.49/29.22  | CLOSE: (9) is inconsistent.
% 184.49/29.22  | 
% 184.49/29.22  End of proof
% 184.49/29.22  
% 184.49/29.22  Sub-proof #179 shows that the following formulas are inconsistent:
% 184.49/29.22  ----------------------------------------------------------------
% 184.49/29.22    (1)  op(e2, e1) = e1
% 184.49/29.22    (2)  op(e2, e1) = all_52_9
% 184.49/29.22    (3)   ~ (all_52_9 = all_14_2)
% 184.49/29.22    (4)   ~ (all_14_2 = e0)
% 184.49/29.22    (5)  all_54_10 = all_14_2
% 184.49/29.22    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.22    (7)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 184.49/29.22    (8)   ~ (all_14_2 = e2)
% 184.49/29.22  
% 184.49/29.22  Begin of proof
% 184.49/29.22  | 
% 184.49/29.22  | BETA: splitting (7) gives:
% 184.49/29.22  | 
% 184.49/29.22  | Case 1:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (9)  all_54_10 = e2
% 184.49/29.22  | | 
% 184.49/29.22  | | REF_CLOSE: (5), (8), (9) are inconsistent by sub-proof #1620.
% 184.49/29.22  | | 
% 184.49/29.22  | Case 2:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (10)  all_54_10 = e1 | all_54_10 = e0
% 184.49/29.22  | | 
% 184.49/29.22  | | BETA: splitting (10) gives:
% 184.49/29.22  | | 
% 184.49/29.22  | | Case 1:
% 184.49/29.22  | | | 
% 184.49/29.22  | | |   (11)  all_54_10 = e1
% 184.49/29.22  | | | 
% 184.49/29.22  | | | COMBINE_EQS: (5), (11) imply:
% 184.49/29.22  | | |   (12)  all_14_2 = e1
% 184.49/29.22  | | | 
% 184.49/29.22  | | | SIMP: (12) implies:
% 184.49/29.22  | | |   (13)  all_14_2 = e1
% 184.49/29.22  | | | 
% 184.49/29.22  | | | REDUCE: (3), (13) imply:
% 184.49/29.22  | | |   (14)   ~ (all_52_9 = e1)
% 184.49/29.22  | | | 
% 184.49/29.22  | | | REF_CLOSE: (1), (2), (6), (14) are inconsistent by sub-proof #1610.
% 184.49/29.22  | | | 
% 184.49/29.22  | | Case 2:
% 184.49/29.22  | | | 
% 184.49/29.22  | | |   (15)  all_54_10 = e0
% 184.49/29.22  | | | 
% 184.49/29.22  | | | REF_CLOSE: (4), (5), (15) are inconsistent by sub-proof #1618.
% 184.49/29.22  | | | 
% 184.49/29.22  | | End of split
% 184.49/29.22  | | 
% 184.49/29.22  | End of split
% 184.49/29.22  | 
% 184.49/29.22  End of proof
% 184.49/29.22  
% 184.49/29.22  Sub-proof #180 shows that the following formulas are inconsistent:
% 184.49/29.22  ----------------------------------------------------------------
% 184.49/29.22    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.22    (2)  op(e2, e3) = all_57_19
% 184.49/29.22    (3)  op(e2, e3) = e2
% 184.49/29.22    (4)   ~ (all_57_19 = e2)
% 184.49/29.22  
% 184.49/29.22  Begin of proof
% 184.49/29.22  | 
% 184.49/29.22  | GROUND_INST: instantiating (1) with e2, all_57_19, e3, e2, simplifying with
% 184.49/29.22  |              (2), (3) gives:
% 184.49/29.22  |   (5)  all_57_19 = e2
% 184.49/29.22  | 
% 184.49/29.22  | REDUCE: (4), (5) imply:
% 184.49/29.22  |   (6)  $false
% 184.49/29.22  | 
% 184.49/29.22  | CLOSE: (6) is inconsistent.
% 184.49/29.22  | 
% 184.49/29.22  End of proof
% 184.49/29.22  
% 184.49/29.22  Sub-proof #181 shows that the following formulas are inconsistent:
% 184.49/29.22  ----------------------------------------------------------------
% 184.49/29.22    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.22    (2)  op(e1, e1) = all_14_2
% 184.49/29.22    (3)  op(e1, e1) = e3
% 184.49/29.22    (4)   ~ (all_14_2 = e3)
% 184.49/29.22  
% 184.49/29.22  Begin of proof
% 184.49/29.22  | 
% 184.49/29.22  | GROUND_INST: instantiating (1) with all_14_2, e3, e1, e1, simplifying with
% 184.49/29.22  |              (2), (3) gives:
% 184.49/29.22  |   (5)  all_14_2 = e3
% 184.49/29.22  | 
% 184.49/29.22  | REDUCE: (4), (5) imply:
% 184.49/29.22  |   (6)  $false
% 184.49/29.22  | 
% 184.49/29.22  | CLOSE: (6) is inconsistent.
% 184.49/29.22  | 
% 184.49/29.22  End of proof
% 184.49/29.22  
% 184.49/29.22  Sub-proof #182 shows that the following formulas are inconsistent:
% 184.49/29.22  ----------------------------------------------------------------
% 184.49/29.22    (1)   ~ (e3 = e1)
% 184.49/29.22    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.22    (3)   ~ (all_10_2 = e3)
% 184.49/29.22    (4)  op(e3, e3) = e1
% 184.49/29.22    (5)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 184.49/29.22    (6)  op(e2, e2) = all_10_2
% 184.49/29.22  
% 184.49/29.22  Begin of proof
% 184.49/29.22  | 
% 184.49/29.22  | BETA: splitting (5) gives:
% 184.49/29.22  | 
% 184.49/29.22  | Case 1:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (7)  all_57_28 = e3 & op(e3, e3) = e3
% 184.49/29.22  | | 
% 184.49/29.22  | | ALPHA: (7) implies:
% 184.49/29.22  | |   (8)  op(e3, e3) = e3
% 184.49/29.22  | | 
% 184.49/29.22  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1600.
% 184.49/29.22  | | 
% 184.49/29.22  | Case 2:
% 184.49/29.22  | | 
% 184.49/29.22  | |   (9)  all_57_29 = e3 & op(e2, e2) = e3
% 184.49/29.22  | | 
% 184.49/29.22  | | ALPHA: (9) implies:
% 184.49/29.22  | |   (10)  op(e2, e2) = e3
% 184.49/29.22  | | 
% 184.49/29.22  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #183.
% 184.49/29.22  | | 
% 184.49/29.22  | End of split
% 184.49/29.22  | 
% 184.49/29.22  End of proof
% 184.49/29.22  
% 184.49/29.22  Sub-proof #183 shows that the following formulas are inconsistent:
% 184.49/29.22  ----------------------------------------------------------------
% 184.49/29.22    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.22    (2)  op(e2, e2) = all_10_2
% 184.49/29.22    (3)  op(e2, e2) = e3
% 184.49/29.22    (4)   ~ (all_10_2 = e3)
% 184.49/29.22  
% 184.49/29.22  Begin of proof
% 184.49/29.22  | 
% 184.49/29.22  | GROUND_INST: instantiating (1) with all_10_2, e3, e2, e2, simplifying with
% 184.49/29.22  |              (2), (3) gives:
% 184.49/29.22  |   (5)  all_10_2 = e3
% 184.49/29.22  | 
% 184.49/29.22  | REDUCE: (4), (5) imply:
% 184.49/29.23  |   (6)  $false
% 184.49/29.23  | 
% 184.49/29.23  | CLOSE: (6) is inconsistent.
% 184.49/29.23  | 
% 184.49/29.23  End of proof
% 184.49/29.23  
% 184.49/29.23  Sub-proof #184 shows that the following formulas are inconsistent:
% 184.49/29.23  ----------------------------------------------------------------
% 184.49/29.23    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 184.49/29.23    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.23    (3)  op(e2, e2) = e1
% 184.49/29.23    (4)  op(e3, e2) = e1
% 184.49/29.23    (5)   ~ (e2 = e1)
% 184.49/29.23  
% 184.49/29.23  Begin of proof
% 184.49/29.23  | 
% 184.49/29.23  | BETA: splitting (1) gives:
% 184.49/29.23  | 
% 184.49/29.23  | Case 1:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (6)  all_56_1 = e2 & op(e3, e2) = e2
% 184.49/29.23  | | 
% 184.49/29.23  | | ALPHA: (6) implies:
% 184.49/29.23  | |   (7)  op(e3, e2) = e2
% 184.49/29.23  | | 
% 184.49/29.23  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #1424.
% 184.49/29.23  | | 
% 184.49/29.23  | Case 2:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (8)  all_56_3 = e2 & op(e2, e2) = e2
% 184.49/29.23  | | 
% 184.49/29.23  | | ALPHA: (8) implies:
% 184.49/29.23  | |   (9)  op(e2, e2) = e2
% 184.49/29.23  | | 
% 184.49/29.23  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #1487.
% 184.49/29.23  | | 
% 184.49/29.23  | End of split
% 184.49/29.23  | 
% 184.49/29.23  End of proof
% 184.49/29.23  
% 184.49/29.23  Sub-proof #185 shows that the following formulas are inconsistent:
% 184.49/29.23  ----------------------------------------------------------------
% 184.49/29.23    (1)  op(e0, e0) = all_6_2
% 184.49/29.23    (2)   ~ (all_6_2 = e1)
% 184.49/29.23    (3)   ~ (all_44_1 = e0)
% 184.49/29.23    (4)   ~ (e1 = e0)
% 184.49/29.23    (5)   ~ (e3 = e1)
% 184.49/29.23    (6)   ~ (all_52_7 = all_44_1)
% 184.49/29.23    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.23    (8)   ~ (all_44_1 = e2)
% 184.49/29.23    (9)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 184.49/29.23         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 184.49/29.23    (10)  all_54_14 = all_44_1
% 184.49/29.23    (11)  all_56_14 = e3
% 184.49/29.23    (12)  op(e0, e3) = e0
% 184.49/29.23    (13)  op(e0, e2) = all_52_7
% 184.49/29.23    (14)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 184.49/29.23  
% 184.49/29.23  Begin of proof
% 184.49/29.23  | 
% 184.49/29.23  | BETA: splitting (9) gives:
% 184.49/29.23  | 
% 184.49/29.23  | Case 1:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (15)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 184.49/29.23  | |           e1)
% 184.49/29.23  | | 
% 184.49/29.23  | | BETA: splitting (15) gives:
% 184.49/29.23  | | 
% 184.49/29.23  | | Case 1:
% 184.49/29.23  | | | 
% 184.49/29.23  | | |   (16)  all_56_12 = e1 & op(e0, e3) = e1
% 184.49/29.23  | | | 
% 184.49/29.23  | | | ALPHA: (16) implies:
% 184.49/29.23  | | |   (17)  op(e0, e3) = e1
% 184.49/29.23  | | | 
% 184.49/29.23  | | | REF_CLOSE: (4), (7), (12), (17) are inconsistent by sub-proof #1589.
% 184.49/29.23  | | | 
% 184.49/29.23  | | Case 2:
% 184.49/29.23  | | | 
% 184.49/29.23  | | |   (18)  all_56_13 = e1 & op(e0, e2) = e1
% 184.49/29.23  | | | 
% 184.49/29.23  | | | ALPHA: (18) implies:
% 184.49/29.23  | | |   (19)  op(e0, e2) = e1
% 184.49/29.23  | | | 
% 184.49/29.23  | | | BETA: splitting (14) gives:
% 184.49/29.23  | | | 
% 184.49/29.23  | | | Case 1:
% 184.49/29.23  | | | | 
% 184.49/29.23  | | | |   (20)  all_54_14 = e2
% 184.49/29.23  | | | | 
% 184.49/29.23  | | | | REF_CLOSE: (8), (10), (20) are inconsistent by sub-proof #187.
% 184.49/29.23  | | | | 
% 184.49/29.23  | | | Case 2:
% 184.49/29.23  | | | | 
% 184.49/29.23  | | | |   (21)  all_54_14 = e1 | all_54_14 = e0
% 184.49/29.23  | | | | 
% 184.49/29.23  | | | | BETA: splitting (21) gives:
% 184.49/29.23  | | | | 
% 184.49/29.23  | | | | Case 1:
% 184.49/29.23  | | | | | 
% 184.49/29.23  | | | | |   (22)  all_54_14 = e1
% 184.49/29.23  | | | | | 
% 184.49/29.23  | | | | | COMBINE_EQS: (10), (22) imply:
% 184.49/29.23  | | | | |   (23)  all_44_1 = e1
% 184.49/29.23  | | | | | 
% 184.49/29.23  | | | | | SIMP: (23) implies:
% 184.49/29.23  | | | | |   (24)  all_44_1 = e1
% 184.49/29.23  | | | | | 
% 184.49/29.23  | | | | | REDUCE: (6), (24) imply:
% 184.49/29.23  | | | | |   (25)   ~ (all_52_7 = e1)
% 184.49/29.23  | | | | | 
% 184.49/29.23  | | | | | REF_CLOSE: (7), (13), (19), (25) are inconsistent by sub-proof #841.
% 184.49/29.23  | | | | | 
% 184.49/29.23  | | | | Case 2:
% 184.49/29.23  | | | | | 
% 184.49/29.23  | | | | |   (26)  all_54_14 = e0
% 184.49/29.23  | | | | | 
% 184.49/29.23  | | | | | REF_CLOSE: (3), (10), (26) are inconsistent by sub-proof #186.
% 184.49/29.23  | | | | | 
% 184.49/29.23  | | | | End of split
% 184.49/29.23  | | | | 
% 184.49/29.23  | | | End of split
% 184.49/29.23  | | | 
% 184.49/29.23  | | End of split
% 184.49/29.23  | | 
% 184.49/29.23  | Case 2:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (27)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.49/29.23  | |           e1)
% 184.49/29.23  | | 
% 184.49/29.23  | | REF_CLOSE: (1), (2), (5), (7), (11), (27) are inconsistent by sub-proof
% 184.49/29.23  | |            #1507.
% 184.49/29.23  | | 
% 184.49/29.23  | End of split
% 184.49/29.23  | 
% 184.49/29.23  End of proof
% 184.49/29.23  
% 184.49/29.23  Sub-proof #186 shows that the following formulas are inconsistent:
% 184.49/29.23  ----------------------------------------------------------------
% 184.49/29.23    (1)  all_54_14 = all_44_1
% 184.49/29.23    (2)  all_54_14 = e0
% 184.49/29.23    (3)   ~ (all_44_1 = e0)
% 184.49/29.23  
% 184.49/29.23  Begin of proof
% 184.49/29.23  | 
% 184.49/29.23  | COMBINE_EQS: (1), (2) imply:
% 184.49/29.23  |   (4)  all_44_1 = e0
% 184.49/29.23  | 
% 184.49/29.23  | SIMP: (4) implies:
% 184.49/29.23  |   (5)  all_44_1 = e0
% 184.49/29.23  | 
% 184.49/29.23  | REDUCE: (3), (5) imply:
% 184.49/29.23  |   (6)  $false
% 184.49/29.23  | 
% 184.49/29.23  | CLOSE: (6) is inconsistent.
% 184.49/29.23  | 
% 184.49/29.23  End of proof
% 184.49/29.23  
% 184.49/29.23  Sub-proof #187 shows that the following formulas are inconsistent:
% 184.49/29.23  ----------------------------------------------------------------
% 184.49/29.23    (1)  all_54_14 = all_44_1
% 184.49/29.23    (2)  all_54_14 = e2
% 184.49/29.23    (3)   ~ (all_44_1 = e2)
% 184.49/29.23  
% 184.49/29.23  Begin of proof
% 184.49/29.23  | 
% 184.49/29.23  | COMBINE_EQS: (1), (2) imply:
% 184.49/29.23  |   (4)  all_44_1 = e2
% 184.49/29.23  | 
% 184.49/29.23  | SIMP: (4) implies:
% 184.49/29.23  |   (5)  all_44_1 = e2
% 184.49/29.23  | 
% 184.49/29.23  | REDUCE: (3), (5) imply:
% 184.49/29.23  |   (6)  $false
% 184.49/29.23  | 
% 184.49/29.23  | CLOSE: (6) is inconsistent.
% 184.49/29.23  | 
% 184.49/29.23  End of proof
% 184.49/29.23  
% 184.49/29.23  Sub-proof #188 shows that the following formulas are inconsistent:
% 184.49/29.23  ----------------------------------------------------------------
% 184.49/29.23    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.23    (2)  op(e0, e3) = all_57_25
% 184.49/29.23    (3)  op(e0, e3) = e0
% 184.49/29.23    (4)   ~ (all_57_25 = e0)
% 184.49/29.23  
% 184.49/29.23  Begin of proof
% 184.49/29.23  | 
% 184.49/29.23  | GROUND_INST: instantiating (1) with e0, all_57_25, e3, e0, simplifying with
% 184.49/29.23  |              (2), (3) gives:
% 184.49/29.23  |   (5)  all_57_25 = e0
% 184.49/29.23  | 
% 184.49/29.23  | REDUCE: (4), (5) imply:
% 184.49/29.23  |   (6)  $false
% 184.49/29.23  | 
% 184.49/29.23  | CLOSE: (6) is inconsistent.
% 184.49/29.23  | 
% 184.49/29.23  End of proof
% 184.49/29.23  
% 184.49/29.23  Sub-proof #189 shows that the following formulas are inconsistent:
% 184.49/29.23  ----------------------------------------------------------------
% 184.49/29.23    (1)  op(e1, e0) = e1
% 184.49/29.23    (2)   ~ (e2 = e0)
% 184.49/29.23    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.23    (4)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) & op(e1, e0) =
% 184.49/29.23           all_57_24 & $i(all_57_24))
% 184.49/29.23    (5)  op(e0, e0) = e2
% 184.49/29.23  
% 184.49/29.23  Begin of proof
% 184.49/29.23  | 
% 184.49/29.23  | BETA: splitting (4) gives:
% 184.49/29.23  | 
% 184.49/29.23  | Case 1:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (6)  all_57_31 = e0 & op(e0, e0) = e0
% 184.49/29.23  | | 
% 184.49/29.23  | | ALPHA: (6) implies:
% 184.49/29.23  | |   (7)  op(e0, e0) = e0
% 184.49/29.23  | | 
% 184.49/29.23  | | REF_CLOSE: (2), (3), (5), (7) are inconsistent by sub-proof #228.
% 184.49/29.23  | | 
% 184.49/29.23  | Case 2:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (8)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 & $i(all_57_24)
% 184.49/29.23  | | 
% 184.49/29.23  | | ALPHA: (8) implies:
% 184.49/29.23  | |   (9)   ~ (all_57_24 = e1)
% 184.49/29.23  | |   (10)  op(e1, e0) = all_57_24
% 184.49/29.23  | | 
% 184.49/29.23  | | REF_CLOSE: (1), (3), (9), (10) are inconsistent by sub-proof #1423.
% 184.49/29.23  | | 
% 184.49/29.23  | End of split
% 184.49/29.23  | 
% 184.49/29.23  End of proof
% 184.49/29.23  
% 184.49/29.23  Sub-proof #190 shows that the following formulas are inconsistent:
% 184.49/29.23  ----------------------------------------------------------------
% 184.49/29.23    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.23    (2)  op(e3, e2) = e2
% 184.49/29.23    (3)  op(e3, e2) = e0
% 184.49/29.23    (4)   ~ (e2 = e0)
% 184.49/29.23  
% 184.49/29.23  Begin of proof
% 184.49/29.23  | 
% 184.49/29.23  | GROUND_INST: instantiating (1) with e0, e2, e2, e3, simplifying with (2), (3)
% 184.49/29.23  |              gives:
% 184.49/29.23  |   (5)  e2 = e0
% 184.49/29.23  | 
% 184.49/29.23  | REDUCE: (4), (5) imply:
% 184.49/29.23  |   (6)  $false
% 184.49/29.23  | 
% 184.49/29.23  | CLOSE: (6) is inconsistent.
% 184.49/29.23  | 
% 184.49/29.23  End of proof
% 184.49/29.23  
% 184.49/29.23  Sub-proof #191 shows that the following formulas are inconsistent:
% 184.49/29.23  ----------------------------------------------------------------
% 184.49/29.23    (1)  op(e0, e0) = all_6_2
% 184.49/29.23    (2)   ~ (all_52_3 = e1)
% 184.49/29.23    (3)   ~ (all_6_2 = e1)
% 184.49/29.23    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.49/29.23         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.49/29.23    (5)   ~ (e1 = e0)
% 184.49/29.23    (6)  all_56_13 = e3
% 184.49/29.23    (7)   ~ (all_52_9 = e0)
% 184.49/29.23    (8)   ~ (e3 = e0)
% 184.49/29.23    (9)  op(e2, e1) = all_52_9
% 184.49/29.23    (10)   ~ (e2 = e0)
% 184.49/29.23    (11)   ~ (e3 = e1)
% 184.49/29.23    (12)  op(e0, e3) = all_52_3
% 184.49/29.23    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.23            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.23    (14)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.49/29.23          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.49/29.23    (15)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.49/29.23          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.49/29.23            e1)
% 184.49/29.23    (16)   ~ (e3 = e2)
% 184.49/29.23    (17)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 184.49/29.23          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.49/29.23    (18)   ~ (e2 = e1)
% 184.49/29.23    (19)  op(e1, e1) = e1
% 184.49/29.23  
% 184.49/29.23  Begin of proof
% 184.49/29.23  | 
% 184.49/29.23  | BETA: splitting (15) gives:
% 184.49/29.23  | 
% 184.49/29.23  | Case 1:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (20)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 184.49/29.23  | |           e1)
% 184.49/29.23  | | 
% 184.49/29.23  | | BETA: splitting (20) gives:
% 184.49/29.23  | | 
% 184.49/29.23  | | Case 1:
% 184.49/29.23  | | | 
% 184.49/29.23  | | |   (21)  all_56_12 = e1 & op(e0, e3) = e1
% 184.49/29.23  | | | 
% 184.49/29.23  | | | REF_CLOSE: (2), (12), (13), (21) are inconsistent by sub-proof #1106.
% 184.49/29.23  | | | 
% 184.49/29.23  | | Case 2:
% 184.49/29.23  | | | 
% 184.49/29.23  | | |   (22)  all_56_13 = e1 & op(e0, e2) = e1
% 184.49/29.23  | | | 
% 184.49/29.23  | | | ALPHA: (22) implies:
% 184.49/29.23  | | |   (23)  all_56_13 = e1
% 184.49/29.23  | | | 
% 184.49/29.23  | | | REF_CLOSE: (6), (11), (23) are inconsistent by sub-proof #1357.
% 184.49/29.23  | | | 
% 184.49/29.23  | | End of split
% 184.49/29.23  | | 
% 184.49/29.23  | Case 2:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (24)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.49/29.23  | |           e1)
% 184.49/29.23  | | 
% 184.49/29.23  | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (10), (11), (13), (14), (16),
% 184.49/29.23  | |            (17), (18), (19), (24) are inconsistent by sub-proof #595.
% 184.49/29.23  | | 
% 184.49/29.23  | End of split
% 184.49/29.23  | 
% 184.49/29.23  End of proof
% 184.49/29.23  
% 184.49/29.23  Sub-proof #192 shows that the following formulas are inconsistent:
% 184.49/29.23  ----------------------------------------------------------------
% 184.49/29.23    (1)  all_56_7 = e2
% 184.49/29.23    (2)   ~ (e1 = e0)
% 184.49/29.23    (3)   ~ (e3 = e0)
% 184.49/29.23    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.49/29.23         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.49/29.23    (5)  all_56_11 = e3
% 184.49/29.23    (6)   ~ (all_52_6 = e0)
% 184.49/29.23    (7)   ~ (e2 = e0)
% 184.49/29.23    (8)   ~ (e3 = e1)
% 184.49/29.23    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.23    (10)  op(e2, e0) = all_22_1
% 184.49/29.23    (11)   ~ (all_22_1 = e3)
% 184.49/29.23    (12)   ~ (e3 = e2)
% 184.49/29.23    (13)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 184.49/29.23          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.49/29.23    (14)  all_56_7 = e3 & op(e1, e2) = e3
% 184.49/29.23    (15)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.49/29.23          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.49/29.23    (16)  op(e1, e2) = all_52_6
% 184.49/29.23    (17)  all_56_9 = e1
% 184.49/29.23    (18)  all_56_6 = e1
% 184.49/29.23    (19)  op(e0, e0) = e2
% 184.49/29.23  
% 184.49/29.23  Begin of proof
% 184.49/29.23  | 
% 184.49/29.23  | ALPHA: (14) implies:
% 184.49/29.23  |   (20)  all_56_7 = e3
% 184.49/29.23  | 
% 184.49/29.23  | COMBINE_EQS: (1), (20) imply:
% 184.49/29.23  |   (21)  e3 = e2
% 184.49/29.23  | 
% 184.49/29.23  | SIMP: (21) implies:
% 184.49/29.23  |   (22)  e3 = e2
% 184.49/29.23  | 
% 184.49/29.23  | COMBINE_EQS: (5), (22) imply:
% 184.49/29.23  |   (23)  all_56_11 = e2
% 184.49/29.23  | 
% 184.49/29.23  | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13), (15),
% 184.49/29.23  |            (16), (17), (18), (19), (20), (23) are inconsistent by sub-proof
% 184.49/29.23  |            #193.
% 184.49/29.23  | 
% 184.49/29.23  End of proof
% 184.49/29.23  
% 184.49/29.23  Sub-proof #193 shows that the following formulas are inconsistent:
% 184.49/29.23  ----------------------------------------------------------------
% 184.49/29.23    (1)   ~ (e1 = e0)
% 184.49/29.23    (2)   ~ (e3 = e0)
% 184.49/29.23    (3)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.49/29.23         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.49/29.23    (4)   ~ (all_52_6 = e0)
% 184.49/29.23    (5)   ~ (e2 = e0)
% 184.49/29.23    (6)   ~ (e3 = e1)
% 184.49/29.23    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.23    (8)  op(e2, e0) = all_22_1
% 184.49/29.23    (9)  all_56_11 = e2
% 184.49/29.23    (10)   ~ (all_22_1 = e3)
% 184.49/29.23    (11)   ~ (e3 = e2)
% 184.49/29.23    (12)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 184.49/29.23          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.49/29.23    (13)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.49/29.23          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.49/29.23    (14)  op(e1, e2) = all_52_6
% 184.49/29.23    (15)  all_56_9 = e1
% 184.49/29.23    (16)  all_56_7 = e3
% 184.49/29.23    (17)  all_56_6 = e1
% 184.49/29.23    (18)  op(e0, e0) = e2
% 184.49/29.23  
% 184.49/29.23  Begin of proof
% 184.49/29.23  | 
% 184.49/29.23  | BETA: splitting (12) gives:
% 184.49/29.23  | 
% 184.49/29.23  | Case 1:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (19)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 184.49/29.23  | |           e3)
% 184.49/29.23  | | 
% 184.49/29.23  | | REF_CLOSE: (6), (7), (8), (10), (15), (19) are inconsistent by sub-proof
% 184.49/29.23  | |            #196.
% 184.49/29.23  | | 
% 184.49/29.23  | Case 2:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (20)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 184.49/29.23  | |           e3)
% 184.49/29.23  | | 
% 184.49/29.23  | | BETA: splitting (20) gives:
% 184.49/29.23  | | 
% 184.49/29.23  | | Case 1:
% 184.49/29.23  | | | 
% 184.49/29.23  | | |   (21)  all_56_11 = e3 & op(e1, e0) = e3
% 184.49/29.23  | | | 
% 184.49/29.23  | | | ALPHA: (21) implies:
% 184.49/29.23  | | |   (22)  all_56_11 = e3
% 184.49/29.23  | | | 
% 184.49/29.23  | | | COMBINE_EQS: (9), (22) imply:
% 184.49/29.23  | | |   (23)  e3 = e2
% 184.49/29.23  | | | 
% 184.49/29.23  | | | SIMP: (23) implies:
% 184.49/29.23  | | |   (24)  e3 = e2
% 184.49/29.23  | | | 
% 184.49/29.23  | | | COMBINE_EQS: (16), (24) imply:
% 184.49/29.23  | | |   (25)  all_56_7 = e2
% 184.49/29.23  | | | 
% 184.49/29.23  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (13), (14), (17),
% 184.49/29.23  | | |            (25) are inconsistent by sub-proof #194.
% 184.49/29.23  | | | 
% 184.49/29.23  | | Case 2:
% 184.49/29.23  | | | 
% 184.49/29.23  | | |   (26)  all_56_15 = e3 & op(e0, e0) = e3
% 184.49/29.23  | | | 
% 184.49/29.23  | | | ALPHA: (26) implies:
% 184.49/29.23  | | |   (27)  op(e0, e0) = e3
% 184.49/29.23  | | | 
% 184.49/29.23  | | | REF_CLOSE: (7), (11), (18), (27) are inconsistent by sub-proof #221.
% 184.49/29.23  | | | 
% 184.49/29.23  | | End of split
% 184.49/29.23  | | 
% 184.49/29.23  | End of split
% 184.49/29.23  | 
% 184.49/29.23  End of proof
% 184.49/29.23  
% 184.49/29.23  Sub-proof #194 shows that the following formulas are inconsistent:
% 184.49/29.23  ----------------------------------------------------------------
% 184.49/29.23    (1)  all_56_7 = e2
% 184.49/29.23    (2)   ~ (e1 = e0)
% 184.49/29.23    (3)   ~ (e3 = e0)
% 184.49/29.23    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.49/29.23         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.49/29.23    (5)   ~ (all_52_6 = e0)
% 184.49/29.23    (6)   ~ (e2 = e0)
% 184.49/29.23    (7)   ~ (e3 = e1)
% 184.49/29.23    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.23    (9)  all_56_11 = e2
% 184.49/29.23    (10)   ~ (e3 = e2)
% 184.49/29.23    (11)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.49/29.23          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.49/29.23    (12)  op(e1, e2) = all_52_6
% 184.49/29.23    (13)  all_56_6 = e1
% 184.49/29.23  
% 184.49/29.23  Begin of proof
% 184.49/29.23  | 
% 184.49/29.23  | BETA: splitting (11) gives:
% 184.49/29.23  | 
% 184.49/29.23  | Case 1:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (14)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 184.49/29.23  | |           e3)
% 184.49/29.23  | | 
% 184.49/29.23  | | REF_CLOSE: (1), (7), (10), (13), (14) are inconsistent by sub-proof #198.
% 184.49/29.23  | | 
% 184.49/29.23  | Case 2:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (15)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 184.49/29.23  | |           e3)
% 184.49/29.23  | | 
% 184.49/29.23  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (12), (13), (15) are
% 184.49/29.23  | |            inconsistent by sub-proof #195.
% 184.49/29.23  | | 
% 184.49/29.23  | End of split
% 184.49/29.23  | 
% 184.49/29.23  End of proof
% 184.49/29.23  
% 184.49/29.23  Sub-proof #195 shows that the following formulas are inconsistent:
% 184.49/29.23  ----------------------------------------------------------------
% 184.49/29.23    (1)   ~ (e1 = e0)
% 184.49/29.23    (2)   ~ (e3 = e0)
% 184.49/29.23    (3)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.49/29.23         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.49/29.23    (4)   ~ (all_52_6 = e0)
% 184.49/29.23    (5)   ~ (e2 = e0)
% 184.49/29.23    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.23    (7)  all_56_11 = e2
% 184.49/29.23    (8)   ~ (e3 = e2)
% 184.49/29.23    (9)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.49/29.23    (10)  op(e1, e2) = all_52_6
% 184.49/29.23    (11)  all_56_6 = e1
% 184.49/29.23  
% 184.49/29.23  Begin of proof
% 184.49/29.23  | 
% 184.49/29.23  | BETA: splitting (9) gives:
% 184.49/29.23  | 
% 184.49/29.23  | Case 1:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (12)  all_56_8 = e3 & op(e1, e1) = e3
% 184.49/29.23  | | 
% 184.49/29.23  | | ALPHA: (12) implies:
% 184.49/29.23  | |   (13)  all_56_8 = e3
% 184.49/29.23  | | 
% 184.49/29.23  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (10), (11), (13) are
% 184.49/29.23  | |            inconsistent by sub-proof #347.
% 184.49/29.23  | | 
% 184.49/29.23  | Case 2:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (14)  all_56_11 = e3 & op(e1, e0) = e3
% 184.49/29.23  | | 
% 184.49/29.23  | | ALPHA: (14) implies:
% 184.49/29.23  | |   (15)  all_56_11 = e3
% 184.49/29.23  | | 
% 184.49/29.23  | | REF_CLOSE: (7), (8), (15) are inconsistent by sub-proof #1482.
% 184.49/29.23  | | 
% 184.49/29.23  | End of split
% 184.49/29.23  | 
% 184.49/29.23  End of proof
% 184.49/29.23  
% 184.49/29.23  Sub-proof #196 shows that the following formulas are inconsistent:
% 184.49/29.23  ----------------------------------------------------------------
% 184.49/29.23    (1)   ~ (e3 = e1)
% 184.49/29.23    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.23    (3)  op(e2, e0) = all_22_1
% 184.49/29.23    (4)   ~ (all_22_1 = e3)
% 184.49/29.23    (5)  all_56_9 = e1
% 184.49/29.23    (6)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.49/29.23  
% 184.49/29.23  Begin of proof
% 184.49/29.23  | 
% 184.49/29.23  | BETA: splitting (6) gives:
% 184.49/29.23  | 
% 184.49/29.23  | Case 1:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (7)  all_56_9 = e3 & op(e3, e0) = e3
% 184.49/29.23  | | 
% 184.49/29.23  | | ALPHA: (7) implies:
% 184.49/29.23  | |   (8)  all_56_9 = e3
% 184.49/29.23  | | 
% 184.49/29.23  | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #1376.
% 184.49/29.23  | | 
% 184.49/29.23  | Case 2:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (9)  all_56_10 = e3 & op(e2, e0) = e3
% 184.49/29.23  | | 
% 184.49/29.23  | | ALPHA: (9) implies:
% 184.49/29.23  | |   (10)  op(e2, e0) = e3
% 184.49/29.23  | | 
% 184.49/29.23  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #197.
% 184.49/29.23  | | 
% 184.49/29.23  | End of split
% 184.49/29.23  | 
% 184.49/29.23  End of proof
% 184.49/29.23  
% 184.49/29.23  Sub-proof #197 shows that the following formulas are inconsistent:
% 184.49/29.23  ----------------------------------------------------------------
% 184.49/29.23    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.23    (2)  op(e2, e0) = all_22_1
% 184.49/29.23    (3)  op(e2, e0) = e3
% 184.49/29.23    (4)   ~ (all_22_1 = e3)
% 184.49/29.23  
% 184.49/29.23  Begin of proof
% 184.49/29.23  | 
% 184.49/29.23  | GROUND_INST: instantiating (1) with e3, all_22_1, e0, e2, simplifying with
% 184.49/29.23  |              (2), (3) gives:
% 184.49/29.23  |   (5)  all_22_1 = e3
% 184.49/29.23  | 
% 184.49/29.23  | REDUCE: (4), (5) imply:
% 184.49/29.23  |   (6)  $false
% 184.49/29.23  | 
% 184.49/29.23  | CLOSE: (6) is inconsistent.
% 184.49/29.23  | 
% 184.49/29.23  End of proof
% 184.49/29.23  
% 184.49/29.23  Sub-proof #198 shows that the following formulas are inconsistent:
% 184.49/29.23  ----------------------------------------------------------------
% 184.49/29.23    (1)  all_56_7 = e2
% 184.49/29.23    (2)   ~ (e3 = e1)
% 184.49/29.23    (3)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3)
% 184.49/29.23    (4)   ~ (e3 = e2)
% 184.49/29.23    (5)  all_56_6 = e1
% 184.49/29.23  
% 184.49/29.23  Begin of proof
% 184.49/29.23  | 
% 184.49/29.23  | BETA: splitting (3) gives:
% 184.49/29.23  | 
% 184.49/29.23  | Case 1:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (6)  all_56_6 = e3 & op(e1, e3) = e3
% 184.49/29.23  | | 
% 184.49/29.23  | | ALPHA: (6) implies:
% 184.49/29.23  | |   (7)  all_56_6 = e3
% 184.49/29.23  | | 
% 184.49/29.23  | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #1546.
% 184.49/29.23  | | 
% 184.49/29.23  | Case 2:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (8)  all_56_7 = e3 & op(e1, e2) = e3
% 184.49/29.23  | | 
% 184.49/29.23  | | ALPHA: (8) implies:
% 184.49/29.23  | |   (9)  all_56_7 = e3
% 184.49/29.23  | | 
% 184.49/29.23  | | REF_CLOSE: (1), (4), (9) are inconsistent by sub-proof #1430.
% 184.49/29.23  | | 
% 184.49/29.23  | End of split
% 184.49/29.23  | 
% 184.49/29.23  End of proof
% 184.49/29.23  
% 184.49/29.23  Sub-proof #199 shows that the following formulas are inconsistent:
% 184.49/29.23  ----------------------------------------------------------------
% 184.49/29.23    (1)   ~ (all_28_0 = e0) & op(e1, e1) = all_28_0 & $i(all_28_0)
% 184.49/29.23    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.23    (3)  op(e1, e1) = e0
% 184.49/29.23  
% 184.49/29.23  Begin of proof
% 184.49/29.23  | 
% 184.49/29.23  | ALPHA: (1) implies:
% 184.49/29.23  |   (4)   ~ (all_28_0 = e0)
% 184.49/29.23  |   (5)  op(e1, e1) = all_28_0
% 184.49/29.23  | 
% 184.49/29.23  | GROUND_INST: instantiating (2) with e0, all_28_0, e1, e1, simplifying with
% 184.49/29.23  |              (3), (5) gives:
% 184.49/29.23  |   (6)  all_28_0 = e0
% 184.49/29.23  | 
% 184.49/29.23  | REDUCE: (4), (6) imply:
% 184.49/29.23  |   (7)  $false
% 184.49/29.23  | 
% 184.49/29.23  | CLOSE: (7) is inconsistent.
% 184.49/29.23  | 
% 184.49/29.23  End of proof
% 184.49/29.23  
% 184.49/29.23  Sub-proof #200 shows that the following formulas are inconsistent:
% 184.49/29.23  ----------------------------------------------------------------
% 184.49/29.23    (1)  all_54_6 = all_52_9
% 184.49/29.23    (2)   ~ (all_52_9 = e0)
% 184.49/29.23    (3)   ~ (all_52_9 = e2)
% 184.49/29.23    (4)   ~ (all_52_9 = e1)
% 184.49/29.23    (5)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 184.49/29.23  
% 184.49/29.23  Begin of proof
% 184.49/29.23  | 
% 184.49/29.23  | BETA: splitting (5) gives:
% 184.49/29.23  | 
% 184.49/29.23  | Case 1:
% 184.49/29.23  | | 
% 184.49/29.23  | |   (6)  all_54_6 = e2
% 184.49/29.23  | | 
% 184.49/29.24  | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #1241.
% 184.49/29.24  | | 
% 184.49/29.24  | Case 2:
% 184.49/29.24  | | 
% 184.49/29.24  | |   (7)  all_54_6 = e1 | all_54_6 = e0
% 184.49/29.24  | | 
% 184.49/29.24  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #255.
% 184.49/29.24  | | 
% 184.49/29.24  | End of split
% 184.49/29.24  | 
% 184.49/29.24  End of proof
% 184.49/29.24  
% 184.49/29.24  Sub-proof #201 shows that the following formulas are inconsistent:
% 184.49/29.24  ----------------------------------------------------------------
% 184.49/29.24    (1)   ~ (e1 = e0)
% 184.49/29.24    (2)  all_56_13 = e3
% 184.49/29.24    (3)   ~ (e3 = e0)
% 184.49/29.24    (4)  op(e0, e1) = e1
% 184.49/29.24    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.24           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.24    (6)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.49/29.24  
% 184.49/29.24  Begin of proof
% 184.49/29.24  | 
% 184.49/29.24  | BETA: splitting (6) gives:
% 184.49/29.24  | 
% 184.49/29.24  | Case 1:
% 184.49/29.24  | | 
% 184.49/29.24  | |   (7)  all_56_13 = e0 & op(e0, e2) = e0
% 184.49/29.24  | | 
% 184.49/29.24  | | REF_CLOSE: (2), (3), (7) are inconsistent by sub-proof #1421.
% 184.49/29.24  | | 
% 184.49/29.24  | Case 2:
% 184.49/29.24  | | 
% 184.49/29.24  | |   (8)  all_56_14 = e0 & op(e0, e1) = e0
% 184.49/29.24  | | 
% 184.49/29.24  | | ALPHA: (8) implies:
% 184.49/29.24  | |   (9)  op(e0, e1) = e0
% 184.49/29.24  | | 
% 184.49/29.24  | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #1171.
% 184.49/29.24  | | 
% 184.49/29.24  | End of split
% 184.49/29.24  | 
% 184.49/29.24  End of proof
% 184.49/29.24  
% 184.49/29.24  Sub-proof #202 shows that the following formulas are inconsistent:
% 184.49/29.24  ----------------------------------------------------------------
% 184.49/29.24    (1)  op(e1, e0) = all_52_14
% 184.49/29.24    (2)   ~ (all_52_12 = e2)
% 184.49/29.24    (3)   ~ (all_52_14 = e1)
% 184.49/29.24    (4)  op(e0, e1) = e1
% 184.49/29.24    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.24           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.24    (6)   ~ (all_52_12 = e3)
% 184.49/29.24    (7)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 184.49/29.24    (8)  op(e0, e1) = all_57_27
% 184.49/29.24    (9)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 =
% 184.49/29.24             e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0)
% 184.49/29.24           & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.49/29.24             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.49/29.24           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 184.49/29.24           $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 184.49/29.24           $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 184.49/29.24           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 184.49/29.24           & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 184.49/29.24           op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.49/29.24           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.49/29.24           $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 184.49/29.24           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.49/29.24               op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 184.49/29.24               e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 184.49/29.24    (10)  all_54_3 = all_52_12
% 184.49/29.24    (11)   ~ (all_52_12 = e0)
% 184.49/29.24  
% 184.49/29.24  Begin of proof
% 184.49/29.24  | 
% 184.49/29.24  | BETA: splitting (7) gives:
% 184.49/29.24  | 
% 184.49/29.24  | Case 1:
% 184.49/29.24  | | 
% 184.49/29.24  | |   (12)  all_54_3 = e3
% 184.49/29.24  | | 
% 184.49/29.24  | | COMBINE_EQS: (10), (12) imply:
% 184.49/29.24  | |   (13)  all_52_12 = e3
% 184.49/29.24  | | 
% 184.49/29.24  | | REDUCE: (6), (13) imply:
% 184.49/29.24  | |   (14)  $false
% 184.49/29.24  | | 
% 184.49/29.24  | | CLOSE: (14) is inconsistent.
% 184.49/29.24  | | 
% 184.49/29.24  | Case 2:
% 184.49/29.24  | | 
% 184.49/29.24  | |   (15)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 184.49/29.24  | | 
% 184.49/29.24  | | BETA: splitting (15) gives:
% 184.49/29.24  | | 
% 184.49/29.24  | | Case 1:
% 184.49/29.24  | | | 
% 184.49/29.24  | | |   (16)  all_54_3 = e2
% 184.49/29.24  | | | 
% 184.49/29.24  | | | COMBINE_EQS: (10), (16) imply:
% 184.49/29.24  | | |   (17)  all_52_12 = e2
% 184.49/29.24  | | | 
% 184.49/29.24  | | | REDUCE: (2), (17) imply:
% 184.49/29.24  | | |   (18)  $false
% 184.49/29.24  | | | 
% 184.49/29.24  | | | CLOSE: (18) is inconsistent.
% 184.49/29.24  | | | 
% 184.49/29.24  | | Case 2:
% 184.49/29.24  | | | 
% 184.49/29.24  | | |   (19)  all_54_3 = e1 | all_54_3 = e0
% 184.49/29.24  | | | 
% 184.49/29.24  | | | BETA: splitting (19) gives:
% 184.49/29.24  | | | 
% 184.49/29.24  | | | Case 1:
% 184.49/29.24  | | | | 
% 184.49/29.24  | | | | 
% 184.49/29.24  | | | | GROUND_INST: instantiating (5) with e1, all_57_27, e1, e0, simplifying
% 184.49/29.24  | | | |              with (4), (8) gives:
% 184.49/29.24  | | | |   (20)  all_57_27 = e1
% 184.49/29.24  | | | | 
% 184.49/29.24  | | | | REF_CLOSE: (1), (3), (4), (5), (9), (20) are inconsistent by sub-proof
% 184.49/29.24  | | | |            #203.
% 184.49/29.24  | | | | 
% 184.49/29.24  | | | Case 2:
% 184.49/29.24  | | | | 
% 184.49/29.24  | | | |   (21)  all_54_3 = e0
% 184.49/29.24  | | | | 
% 184.49/29.24  | | | | COMBINE_EQS: (10), (21) imply:
% 184.49/29.24  | | | |   (22)  all_52_12 = e0
% 184.49/29.24  | | | | 
% 184.49/29.24  | | | | REDUCE: (11), (22) imply:
% 184.49/29.24  | | | |   (23)  $false
% 184.49/29.24  | | | | 
% 184.49/29.24  | | | | CLOSE: (23) is inconsistent.
% 184.49/29.24  | | | | 
% 184.49/29.24  | | | End of split
% 184.49/29.24  | | | 
% 184.49/29.24  | | End of split
% 184.49/29.24  | | 
% 184.49/29.24  | End of split
% 184.49/29.24  | 
% 184.49/29.24  End of proof
% 184.49/29.24  
% 184.49/29.24  Sub-proof #203 shows that the following formulas are inconsistent:
% 184.49/29.24  ----------------------------------------------------------------
% 184.49/29.24    (1)  op(e1, e0) = all_52_14
% 184.49/29.24    (2)   ~ (all_52_14 = e1)
% 184.49/29.24    (3)  op(e0, e1) = e1
% 184.49/29.24    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.24           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.24    (5)  all_57_27 = e1
% 184.49/29.24    (6)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 =
% 184.49/29.24             e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0)
% 184.49/29.24           & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.49/29.24             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.49/29.24           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 184.49/29.24           $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 184.49/29.24           $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 184.49/29.24           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 184.49/29.24           & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 184.49/29.24           op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.49/29.24           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.49/29.24           $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 184.49/29.24           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.49/29.24               op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 184.49/29.24               e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 184.49/29.24  
% 184.49/29.24  Begin of proof
% 184.49/29.24  | 
% 184.49/29.24  | BETA: splitting (6) gives:
% 184.49/29.24  | 
% 184.49/29.24  | Case 1:
% 184.49/29.24  | | 
% 184.49/29.24  | |   (7)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 184.49/29.24  | |        (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.49/29.24  | |        (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) =
% 184.49/29.24  | |        all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 184.49/29.24  | |        op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.49/29.24  | |        $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.49/29.24  | |        $i(all_57_23) & $i(all_57_30)
% 184.49/29.24  | | 
% 184.49/29.24  | | ALPHA: (7) implies:
% 184.49/29.24  | |   (8)  op(e1, e0) = e1
% 184.49/29.24  | | 
% 184.49/29.24  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1609.
% 184.49/29.24  | | 
% 184.49/29.24  | Case 2:
% 184.49/29.24  | | 
% 184.49/29.24  | |   (9)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.49/29.24  | |        (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 184.49/29.24  | |        = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 184.49/29.24  | |        all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.49/29.24  | |          e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.49/29.24  | |        $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.49/29.24  | |        (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0)
% 184.49/29.24  | |          | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24
% 184.49/29.24  | |            = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 184.49/29.24  | | 
% 184.49/29.24  | | ALPHA: (9) implies:
% 184.49/29.24  | |   (10)   ~ (all_57_14 = e1)
% 184.49/29.24  | |   (11)  op(e0, all_57_27) = all_57_14
% 184.49/29.24  | | 
% 184.49/29.24  | | REDUCE: (5), (11) imply:
% 184.49/29.24  | |   (12)  op(e0, e1) = all_57_14
% 184.49/29.24  | | 
% 184.49/29.24  | | REF_CLOSE: (3), (4), (10), (12) are inconsistent by sub-proof #1177.
% 184.49/29.24  | | 
% 184.49/29.24  | End of split
% 184.49/29.24  | 
% 184.49/29.24  End of proof
% 184.49/29.24  
% 184.49/29.24  Sub-proof #204 shows that the following formulas are inconsistent:
% 184.49/29.24  ----------------------------------------------------------------
% 184.49/29.24    (1)  all_54_12 = all_52_3
% 184.49/29.24    (2)  all_54_12 = e1
% 184.49/29.24    (3)   ~ (all_52_3 = e1)
% 184.49/29.24  
% 184.49/29.24  Begin of proof
% 184.49/29.24  | 
% 184.49/29.24  | COMBINE_EQS: (1), (2) imply:
% 184.49/29.24  |   (4)  all_52_3 = e1
% 184.49/29.24  | 
% 184.49/29.24  | SIMP: (4) implies:
% 184.49/29.24  |   (5)  all_52_3 = e1
% 184.49/29.24  | 
% 184.49/29.24  | REDUCE: (3), (5) imply:
% 184.49/29.24  |   (6)  $false
% 184.49/29.24  | 
% 184.49/29.24  | CLOSE: (6) is inconsistent.
% 184.49/29.24  | 
% 184.49/29.24  End of proof
% 184.49/29.24  
% 184.49/29.24  Sub-proof #205 shows that the following formulas are inconsistent:
% 184.49/29.24  ----------------------------------------------------------------
% 184.49/29.24    (1)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 184.49/29.24    (2)   ~ (all_52_4 = all_52_8)
% 184.49/29.24    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.24           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.24    (4)   ~ (all_52_8 = e0)
% 184.49/29.24    (5)  all_54_2 = all_52_8
% 184.49/29.24    (6)  op(e3, e2) = all_52_4
% 184.49/29.24    (7)  op(e3, e2) = e2
% 184.49/29.24    (8)   ~ (all_52_8 = e1)
% 184.49/29.24  
% 184.49/29.24  Begin of proof
% 184.49/29.24  | 
% 184.49/29.24  | BETA: splitting (1) gives:
% 184.49/29.24  | 
% 184.49/29.24  | Case 1:
% 184.49/29.24  | | 
% 184.49/29.24  | |   (9)  all_54_2 = e2
% 184.49/29.24  | | 
% 184.49/29.24  | | COMBINE_EQS: (5), (9) imply:
% 184.49/29.24  | |   (10)  all_52_8 = e2
% 184.49/29.24  | | 
% 184.49/29.24  | | SIMP: (10) implies:
% 184.49/29.24  | |   (11)  all_52_8 = e2
% 184.49/29.24  | | 
% 184.49/29.24  | | REDUCE: (2), (11) imply:
% 184.49/29.24  | |   (12)   ~ (all_52_4 = e2)
% 184.49/29.24  | | 
% 184.49/29.24  | | REF_CLOSE: (3), (6), (7), (12) are inconsistent by sub-proof #1382.
% 184.49/29.24  | | 
% 184.49/29.24  | Case 2:
% 184.49/29.24  | | 
% 184.49/29.24  | |   (13)  all_54_2 = e1 | all_54_2 = e0
% 184.49/29.24  | | 
% 184.49/29.24  | | REF_CLOSE: (4), (5), (8), (13) are inconsistent by sub-proof #1324.
% 184.49/29.24  | | 
% 184.49/29.24  | End of split
% 184.49/29.24  | 
% 184.49/29.24  End of proof
% 184.49/29.24  
% 184.49/29.24  Sub-proof #206 shows that the following formulas are inconsistent:
% 184.49/29.24  ----------------------------------------------------------------
% 184.49/29.24    (1)   ~ (e1 = e0)
% 184.49/29.24    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.24           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.24    (3)  op(e3, e0) = e1
% 184.49/29.24    (4)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 184.49/29.24           e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.49/29.24         op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.49/29.24           all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 184.49/29.24         & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 184.49/29.24         $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.49/29.24         $i(all_57_17) & $i(all_57_28)
% 184.49/29.24    (5)  op(e0, e3) = e0
% 184.49/29.24  
% 184.49/29.24  Begin of proof
% 184.49/29.24  | 
% 184.49/29.24  | ALPHA: (4) implies:
% 184.49/29.24  |   (6)  op(e0, e3) = e3
% 184.49/29.24  |   (7)  op(e3, e0) = e3
% 184.49/29.24  | 
% 184.49/29.24  | GROUND_INST: instantiating (2) with e0, e3, e3, e0, simplifying with (5), (6)
% 184.49/29.24  |              gives:
% 184.49/29.24  |   (8)  e3 = e0
% 184.49/29.24  | 
% 184.49/29.24  | GROUND_INST: instantiating (2) with e1, e3, e0, e3, simplifying with (3), (7)
% 184.49/29.24  |              gives:
% 184.49/29.24  |   (9)  e3 = e1
% 184.49/29.24  | 
% 184.49/29.24  | COMBINE_EQS: (8), (9) imply:
% 184.49/29.24  |   (10)  e1 = e0
% 184.49/29.24  | 
% 184.49/29.24  | REDUCE: (1), (10) imply:
% 184.49/29.24  |   (11)  $false
% 184.49/29.24  | 
% 184.49/29.24  | CLOSE: (11) is inconsistent.
% 184.49/29.24  | 
% 184.49/29.24  End of proof
% 184.49/29.24  
% 184.49/29.24  Sub-proof #207 shows that the following formulas are inconsistent:
% 184.49/29.24  ----------------------------------------------------------------
% 184.49/29.24    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 184.49/29.24    (2)  op(e0, e3) = e3
% 184.49/29.24    (3)   ~ (all_4_2 = e0)
% 184.49/29.24    (4)   ~ (e1 = e0)
% 184.49/29.24    (5)   ~ (e3 = e0)
% 184.49/29.24    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.49/29.24         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.49/29.24    (7)   ~ (e2 = e0)
% 184.49/29.24    (8)   ~ (e3 = e1)
% 184.49/29.24    (9)  op(e0, e3) = all_52_3
% 184.49/29.24    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.24            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.24    (11)  all_56_12 = e3
% 184.49/29.24    (12)   ~ (e3 = e2)
% 184.49/29.24    (13)  op(e3, e3) = all_4_2
% 184.49/29.24    (14)  op(e3, e3) = e3
% 184.49/29.24    (15)   ~ (e2 = e1)
% 184.49/29.24    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.49/29.24          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.49/29.24  
% 184.49/29.24  Begin of proof
% 184.49/29.24  | 
% 184.49/29.24  | BETA: splitting (1) gives:
% 184.49/29.24  | 
% 184.49/29.24  | Case 1:
% 184.49/29.24  | | 
% 184.49/29.24  | |   (17)  all_56_0 = e2 & op(e3, e3) = e2
% 184.49/29.24  | | 
% 184.49/29.24  | | ALPHA: (17) implies:
% 184.49/29.24  | |   (18)  op(e3, e3) = e2
% 184.49/29.24  | | 
% 184.49/29.24  | | REF_CLOSE: (10), (12), (14), (18) are inconsistent by sub-proof #1594.
% 184.49/29.24  | | 
% 184.49/29.24  | Case 2:
% 184.49/29.24  | | 
% 184.49/29.24  | |   (19)  all_56_2 = e2 & op(e2, e3) = e2
% 184.49/29.24  | | 
% 184.49/29.24  | | ALPHA: (19) implies:
% 184.49/29.24  | |   (20)  all_56_2 = e2
% 184.49/29.24  | |   (21)  op(e2, e3) = e2
% 184.49/29.24  | | 
% 184.49/29.24  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 184.49/29.24  | |            (15), (16), (20), (21) are inconsistent by sub-proof #243.
% 184.49/29.24  | | 
% 184.49/29.24  | End of split
% 184.49/29.24  | 
% 184.49/29.24  End of proof
% 184.49/29.24  
% 184.49/29.24  Sub-proof #208 shows that the following formulas are inconsistent:
% 184.49/29.24  ----------------------------------------------------------------
% 184.49/29.24    (1)   ~ (all_52_13 = e3)
% 184.49/29.24    (2)  op(e3, e0) = all_52_12
% 184.49/29.24    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.24           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.24    (4)   ~ (all_52_12 = e3)
% 184.49/29.24    (5)  op(e2, e0) = all_52_13
% 184.49/29.24    (6)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.49/29.24  
% 184.49/29.24  Begin of proof
% 184.49/29.24  | 
% 184.49/29.24  | BETA: splitting (6) gives:
% 184.49/29.24  | 
% 184.49/29.24  | Case 1:
% 184.49/29.24  | | 
% 184.49/29.24  | |   (7)  all_56_9 = e3 & op(e3, e0) = e3
% 184.49/29.24  | | 
% 184.49/29.24  | | ALPHA: (7) implies:
% 184.49/29.24  | |   (8)  op(e3, e0) = e3
% 184.49/29.24  | | 
% 184.49/29.24  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1615.
% 184.49/29.24  | | 
% 184.49/29.24  | Case 2:
% 184.49/29.24  | | 
% 184.49/29.24  | |   (9)  all_56_10 = e3 & op(e2, e0) = e3
% 184.49/29.24  | | 
% 184.49/29.24  | | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #209.
% 184.49/29.24  | | 
% 184.49/29.24  | End of split
% 184.49/29.24  | 
% 184.49/29.24  End of proof
% 184.49/29.24  
% 184.49/29.24  Sub-proof #209 shows that the following formulas are inconsistent:
% 184.49/29.24  ----------------------------------------------------------------
% 184.49/29.24    (1)  all_56_10 = e3 & op(e2, e0) = e3
% 184.49/29.24    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.24           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.24    (3)  op(e2, e0) = all_52_13
% 184.49/29.24    (4)   ~ (all_52_13 = e3)
% 184.49/29.24  
% 184.49/29.24  Begin of proof
% 184.49/29.24  | 
% 184.49/29.24  | ALPHA: (1) implies:
% 184.49/29.24  |   (5)  op(e2, e0) = e3
% 184.49/29.24  | 
% 184.49/29.24  | GROUND_INST: instantiating (2) with all_52_13, e3, e0, e2, simplifying with
% 184.49/29.24  |              (3), (5) gives:
% 184.49/29.24  |   (6)  all_52_13 = e3
% 184.49/29.24  | 
% 184.49/29.24  | REDUCE: (4), (6) imply:
% 184.49/29.24  |   (7)  $false
% 184.49/29.24  | 
% 184.49/29.24  | CLOSE: (7) is inconsistent.
% 184.49/29.24  | 
% 184.49/29.24  End of proof
% 184.49/29.24  
% 184.49/29.24  Sub-proof #210 shows that the following formulas are inconsistent:
% 184.49/29.24  ----------------------------------------------------------------
% 184.49/29.24    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.24           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.24    (2)  op(e0, e0) = all_44_0
% 184.49/29.24    (3)  op(e0, e0) = e2
% 184.49/29.24    (4)   ~ (all_44_0 = e2)
% 184.49/29.24  
% 184.49/29.24  Begin of proof
% 184.49/29.24  | 
% 184.49/29.24  | GROUND_INST: instantiating (1) with e2, all_44_0, e0, e0, simplifying with
% 184.49/29.24  |              (2), (3) gives:
% 184.49/29.24  |   (5)  all_44_0 = e2
% 184.49/29.24  | 
% 184.49/29.24  | REDUCE: (4), (5) imply:
% 184.49/29.24  |   (6)  $false
% 184.49/29.24  | 
% 184.49/29.24  | CLOSE: (6) is inconsistent.
% 184.49/29.24  | 
% 184.49/29.24  End of proof
% 184.49/29.24  
% 184.49/29.24  Sub-proof #211 shows that the following formulas are inconsistent:
% 184.49/29.24  ----------------------------------------------------------------
% 184.49/29.24    (1)   ~ (e1 = e0)
% 184.49/29.24    (2)  op(e1, e0) = all_52_14
% 184.49/29.24    (3)   ~ (e3 = e0)
% 184.49/29.24    (4)   ~ (all_52_14 = e1)
% 184.49/29.24    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.24           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.24    (6)  all_57_18 = e1
% 184.49/29.24    (7)  all_57_31 = e2
% 184.49/29.24    (8)  all_57_24 = e3
% 184.49/29.24    (9)   ~ (all_57_24 = e1)
% 184.49/29.24    (10)  op(e1, e0) = all_57_24
% 184.49/29.24    (11)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8
% 184.49/29.24              = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 =
% 184.49/29.24              e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.49/29.24            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.49/29.24            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 184.49/29.24            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 184.49/29.24            $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 184.49/29.24            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 184.49/29.24            & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 184.49/29.24            op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.49/29.24            all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.49/29.24            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 184.49/29.24            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.49/29.24                op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 184.49/29.24                e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 184.49/29.24  
% 184.49/29.24  Begin of proof
% 184.49/29.24  | 
% 184.49/29.24  | BETA: splitting (11) gives:
% 184.49/29.24  | 
% 184.49/29.24  | Case 1:
% 184.49/29.24  | | 
% 184.49/29.24  | |   (12)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 184.49/29.24  | |         (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.49/29.24  | |         (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23)
% 184.49/29.24  | |         = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22
% 184.49/29.24  | |         & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1
% 184.49/29.24  | |         & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.49/29.24  | |         $i(all_57_23) & $i(all_57_30)
% 184.49/29.24  | | 
% 184.49/29.24  | | ALPHA: (12) implies:
% 184.49/29.24  | |   (13)  op(e1, e0) = e1
% 184.49/29.24  | | 
% 184.49/29.24  | | REF_CLOSE: (5), (9), (10), (13) are inconsistent by sub-proof #1423.
% 184.49/29.24  | | 
% 184.49/29.24  | Case 2:
% 184.49/29.24  | | 
% 184.49/29.24  | |   (14)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.49/29.24  | |         (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 184.49/29.24  | |         = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 184.49/29.24  | |         all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.49/29.24  | |           e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.49/29.24  | |         $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.49/29.24  | |         (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.49/29.24  | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 184.49/29.24  | |           (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 184.49/29.24  | | 
% 184.49/29.24  | | ALPHA: (14) implies:
% 184.49/29.24  | |   (15)   ~ (all_57_15 = e0)
% 184.49/29.24  | |   (16)  op(e0, e2) = all_57_26
% 184.49/29.24  | |   (17)  op(e0, all_57_31) = all_57_15
% 184.49/29.24  | |   (18)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0)
% 184.49/29.24  | |         | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 =
% 184.49/29.24  | |           e0 & all_57_27 = e0 & op(e1, e0) = e0)
% 184.49/29.24  | | 
% 184.49/29.24  | | REDUCE: (7), (17) imply:
% 184.49/29.24  | |   (19)  op(e0, e2) = all_57_15
% 184.49/29.24  | | 
% 184.49/29.24  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (11), (15), (16), (18), (19)
% 184.49/29.24  | |            are inconsistent by sub-proof #212.
% 184.49/29.24  | | 
% 184.49/29.24  | End of split
% 184.49/29.24  | 
% 184.49/29.24  End of proof
% 184.49/29.24  
% 184.49/29.24  Sub-proof #212 shows that the following formulas are inconsistent:
% 184.49/29.24  ----------------------------------------------------------------
% 184.49/29.24    (1)  op(e0, e2) = all_57_15
% 184.49/29.24    (2)   ~ (e1 = e0)
% 184.49/29.24    (3)  op(e1, e0) = all_52_14
% 184.49/29.24    (4)   ~ (all_57_15 = e0)
% 184.49/29.24    (5)   ~ (e3 = e0)
% 184.49/29.24    (6)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 184.49/29.24         (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 184.49/29.24           all_57_27 = e0 & op(e1, e0) = e0)
% 184.49/29.24    (7)   ~ (all_52_14 = e1)
% 184.49/29.24    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.24           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.24    (9)  all_57_18 = e1
% 184.49/29.24    (10)  all_57_24 = e3
% 184.49/29.24    (11)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8
% 184.49/29.24              = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 =
% 184.49/29.24              e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.49/29.24            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.49/29.24            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 184.49/29.24            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 184.49/29.24            $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 184.49/29.24            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 184.49/29.24            & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 184.49/29.24            op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.49/29.24            all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.49/29.24            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 184.49/29.24            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.49/29.24                op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 184.49/29.24                e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 184.49/29.24    (12)  op(e0, e2) = all_57_26
% 184.49/29.24  
% 184.49/29.24  Begin of proof
% 184.49/29.24  | 
% 184.49/29.24  | BETA: splitting (6) gives:
% 184.49/29.24  | 
% 184.49/29.24  | Case 1:
% 184.49/29.24  | | 
% 184.49/29.24  | |   (13)  all_57_31 = e0
% 184.49/29.24  | | 
% 184.49/29.24  | | REF_CLOSE: (3), (7), (8), (11), (13) are inconsistent by sub-proof #1583.
% 184.49/29.24  | | 
% 184.49/29.24  | Case 2:
% 184.49/29.24  | | 
% 184.49/29.24  | |   (14)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 =
% 184.49/29.24  | |           e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 184.49/29.24  | |           all_57_27 = e0 & op(e1, e0) = e0)
% 184.49/29.24  | | 
% 184.49/29.24  | | BETA: splitting (14) gives:
% 184.49/29.24  | | 
% 184.49/29.24  | | Case 1:
% 184.49/29.24  | | | 
% 184.49/29.24  | | |   (15)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 184.49/29.24  | | | 
% 184.49/29.24  | | | ALPHA: (15) implies:
% 184.49/29.24  | | |   (16)  all_57_18 = e0
% 184.49/29.24  | | | 
% 184.49/29.24  | | | COMBINE_EQS: (9), (16) imply:
% 184.49/29.24  | | |   (17)  e1 = e0
% 184.49/29.24  | | | 
% 184.49/29.24  | | | REDUCE: (2), (17) imply:
% 184.49/29.24  | | |   (18)  $false
% 184.49/29.24  | | | 
% 184.49/29.24  | | | CLOSE: (18) is inconsistent.
% 184.49/29.24  | | | 
% 184.49/29.24  | | Case 2:
% 184.49/29.24  | | | 
% 184.49/29.24  | | |   (19)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 =
% 184.49/29.24  | | |           e0 & all_57_27 = e0 & op(e1, e0) = e0)
% 184.49/29.24  | | | 
% 184.49/29.24  | | | BETA: splitting (19) gives:
% 184.49/29.24  | | | 
% 184.49/29.24  | | | Case 1:
% 184.49/29.24  | | | | 
% 184.49/29.24  | | | |   (20)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 184.49/29.24  | | | | 
% 184.49/29.24  | | | | REF_CLOSE: (1), (4), (8), (12), (20) are inconsistent by sub-proof #213.
% 184.49/29.24  | | | | 
% 184.49/29.24  | | | Case 2:
% 184.49/29.24  | | | | 
% 184.49/29.24  | | | |   (21)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 184.49/29.24  | | | | 
% 184.49/29.24  | | | | ALPHA: (21) implies:
% 184.49/29.24  | | | |   (22)  all_57_24 = e0
% 184.49/29.24  | | | | 
% 184.49/29.24  | | | | COMBINE_EQS: (10), (22) imply:
% 184.49/29.24  | | | |   (23)  e3 = e0
% 184.49/29.24  | | | | 
% 184.49/29.24  | | | | REDUCE: (5), (23) imply:
% 184.49/29.24  | | | |   (24)  $false
% 184.49/29.24  | | | | 
% 184.49/29.24  | | | | CLOSE: (24) is inconsistent.
% 184.49/29.24  | | | | 
% 184.49/29.24  | | | End of split
% 184.49/29.24  | | | 
% 184.49/29.24  | | End of split
% 184.49/29.24  | | 
% 184.49/29.24  | End of split
% 184.49/29.24  | 
% 184.49/29.24  End of proof
% 184.49/29.24  
% 184.49/29.24  Sub-proof #213 shows that the following formulas are inconsistent:
% 184.49/29.24  ----------------------------------------------------------------
% 184.49/29.25    (1)  op(e0, e2) = all_57_15
% 184.49/29.25    (2)   ~ (all_57_15 = e0)
% 184.49/29.25    (3)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 184.49/29.25    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.25    (5)  op(e0, e2) = all_57_26
% 184.49/29.25  
% 184.49/29.25  Begin of proof
% 184.49/29.25  | 
% 184.49/29.25  | ALPHA: (3) implies:
% 184.49/29.25  |   (6)  all_57_26 = e0
% 184.49/29.25  | 
% 184.49/29.25  | REDUCE: (5), (6) imply:
% 184.49/29.25  |   (7)  op(e0, e2) = e0
% 184.49/29.25  | 
% 184.49/29.25  | GROUND_INST: instantiating (4) with e0, all_57_15, e2, e0, simplifying with
% 184.49/29.25  |              (1), (7) gives:
% 184.49/29.25  |   (8)  all_57_15 = e0
% 184.49/29.25  | 
% 184.49/29.25  | REDUCE: (2), (8) imply:
% 184.49/29.25  |   (9)  $false
% 184.49/29.25  | 
% 184.49/29.25  | CLOSE: (9) is inconsistent.
% 184.49/29.25  | 
% 184.49/29.25  End of proof
% 184.49/29.25  
% 184.49/29.25  Sub-proof #214 shows that the following formulas are inconsistent:
% 184.49/29.25  ----------------------------------------------------------------
% 184.49/29.25    (1)  op(e2, e0) = all_57_21
% 184.49/29.25    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.25    (3)  op(e2, all_57_21) = all_57_7
% 184.49/29.25    (4)   ~ (all_57_7 = e0)
% 184.49/29.25    (5)  all_57_21 = e0
% 184.49/29.25  
% 184.49/29.25  Begin of proof
% 184.49/29.25  | 
% 184.49/29.25  | REDUCE: (3), (5) imply:
% 184.49/29.25  |   (6)  op(e2, e0) = all_57_7
% 184.49/29.25  | 
% 184.49/29.25  | REDUCE: (1), (5) imply:
% 184.49/29.25  |   (7)  op(e2, e0) = e0
% 184.49/29.25  | 
% 184.49/29.25  | GROUND_INST: instantiating (2) with e0, all_57_7, e0, e2, simplifying with
% 184.49/29.25  |              (6), (7) gives:
% 184.49/29.25  |   (8)  all_57_7 = e0
% 184.49/29.25  | 
% 184.49/29.25  | REDUCE: (4), (8) imply:
% 184.49/29.25  |   (9)  $false
% 184.49/29.25  | 
% 184.49/29.25  | CLOSE: (9) is inconsistent.
% 184.49/29.25  | 
% 184.49/29.25  End of proof
% 184.49/29.25  
% 184.49/29.25  Sub-proof #215 shows that the following formulas are inconsistent:
% 184.49/29.25  ----------------------------------------------------------------
% 184.49/29.25    (1)   ~ (all_22_0 = e1) & op(e2, e2) = all_22_0 & $i(all_22_0)
% 184.49/29.25    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.25    (3)  op(e2, e2) = e1
% 184.49/29.25  
% 184.49/29.25  Begin of proof
% 184.49/29.25  | 
% 184.49/29.25  | ALPHA: (1) implies:
% 184.49/29.25  |   (4)   ~ (all_22_0 = e1)
% 184.49/29.25  |   (5)  op(e2, e2) = all_22_0
% 184.49/29.25  | 
% 184.49/29.25  | GROUND_INST: instantiating (2) with e1, all_22_0, e2, e2, simplifying with
% 184.49/29.25  |              (3), (5) gives:
% 184.49/29.25  |   (6)  all_22_0 = e1
% 184.49/29.25  | 
% 184.49/29.25  | REDUCE: (4), (6) imply:
% 184.49/29.25  |   (7)  $false
% 184.49/29.25  | 
% 184.49/29.25  | CLOSE: (7) is inconsistent.
% 184.49/29.25  | 
% 184.49/29.25  End of proof
% 184.49/29.25  
% 184.49/29.25  Sub-proof #216 shows that the following formulas are inconsistent:
% 184.49/29.25  ----------------------------------------------------------------
% 184.49/29.25    (1)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.49/29.25    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.49/29.25    (3)  all_56_11 = e2
% 184.49/29.25    (4)   ~ (e3 = e2)
% 184.49/29.25    (5)  op(e0, e0) = e2
% 184.49/29.25  
% 184.49/29.25  Begin of proof
% 184.49/29.25  | 
% 184.49/29.25  | BETA: splitting (1) gives:
% 184.49/29.25  | 
% 184.49/29.25  | Case 1:
% 184.49/29.25  | | 
% 184.49/29.25  | |   (6)  all_56_11 = e3 & op(e1, e0) = e3
% 184.49/29.25  | | 
% 184.49/29.25  | | ALPHA: (6) implies:
% 184.49/29.25  | |   (7)  all_56_11 = e3
% 184.49/29.25  | | 
% 184.49/29.25  | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #1482.
% 184.49/29.25  | | 
% 184.49/29.25  | Case 2:
% 184.49/29.25  | | 
% 184.49/29.25  | |   (8)  all_56_15 = e3 & op(e0, e0) = e3
% 184.49/29.25  | | 
% 184.49/29.25  | | ALPHA: (8) implies:
% 184.49/29.25  | |   (9)  op(e0, e0) = e3
% 184.49/29.25  | | 
% 184.49/29.25  | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #221.
% 184.49/29.25  | | 
% 184.49/29.25  | End of split
% 184.49/29.25  | 
% 184.49/29.25  End of proof
% 184.49/29.25  
% 184.49/29.25  Sub-proof #217 shows that the following formulas are inconsistent:
% 184.49/29.25  ----------------------------------------------------------------
% 184.49/29.25    (1)  all_56_10 = e0 & op(e2, e0) = e0
% 184.49/29.25    (2)  all_56_10 = e3
% 184.49/29.25    (3)   ~ (e3 = e0)
% 184.49/29.25  
% 184.49/29.25  Begin of proof
% 184.49/29.25  | 
% 184.49/29.25  | ALPHA: (1) implies:
% 184.49/29.25  |   (4)  all_56_10 = e0
% 184.49/29.25  | 
% 184.49/29.25  | COMBINE_EQS: (2), (4) imply:
% 184.49/29.25  |   (5)  e3 = e0
% 184.49/29.25  | 
% 184.49/29.25  | SIMP: (5) implies:
% 184.49/29.25  |   (6)  e3 = e0
% 184.49/29.25  | 
% 184.49/29.25  | REDUCE: (3), (6) imply:
% 184.49/29.25  |   (7)  $false
% 184.49/29.25  | 
% 184.49/29.25  | CLOSE: (7) is inconsistent.
% 184.49/29.25  | 
% 184.49/29.25  End of proof
% 184.49/29.25  
% 184.49/29.25  Sub-proof #218 shows that the following formulas are inconsistent:
% 184.49/29.25  ----------------------------------------------------------------
% 184.49/29.25    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.49/29.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.25    (2)  op(e3, e2) = e3
% 184.61/29.25    (3)  op(e3, e2) = e0
% 184.61/29.25    (4)   ~ (e3 = e0)
% 184.61/29.25  
% 184.61/29.25  Begin of proof
% 184.61/29.25  | 
% 184.61/29.25  | GROUND_INST: instantiating (1) with e0, e3, e2, e3, simplifying with (2), (3)
% 184.61/29.25  |              gives:
% 184.61/29.25  |   (5)  e3 = e0
% 184.61/29.25  | 
% 184.61/29.25  | REDUCE: (4), (5) imply:
% 184.61/29.25  |   (6)  $false
% 184.61/29.25  | 
% 184.61/29.25  | CLOSE: (6) is inconsistent.
% 184.61/29.25  | 
% 184.61/29.25  End of proof
% 184.61/29.25  
% 184.61/29.25  Sub-proof #219 shows that the following formulas are inconsistent:
% 184.61/29.25  ----------------------------------------------------------------
% 184.61/29.25    (1)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.61/29.25    (2)  op(e0, e1) = all_52_11
% 184.61/29.25    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.25    (4)   ~ (e2 = e1)
% 184.61/29.25    (5)   ~ (all_52_11 = e2)
% 184.61/29.25    (6)  op(e1, e1) = e1
% 184.61/29.25  
% 184.61/29.25  Begin of proof
% 184.61/29.25  | 
% 184.61/29.25  | BETA: splitting (1) gives:
% 184.61/29.25  | 
% 184.61/29.25  | Case 1:
% 184.61/29.25  | | 
% 184.61/29.25  | |   (7)  all_56_8 = e2 & op(e1, e1) = e2
% 184.61/29.25  | | 
% 184.61/29.25  | | ALPHA: (7) implies:
% 184.61/29.25  | |   (8)  op(e1, e1) = e2
% 184.61/29.25  | | 
% 184.61/29.25  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #1473.
% 184.61/29.25  | | 
% 184.61/29.25  | Case 2:
% 184.61/29.25  | | 
% 184.61/29.25  | |   (9)  all_56_14 = e2 & op(e0, e1) = e2
% 184.61/29.25  | | 
% 184.61/29.25  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #245.
% 184.61/29.25  | | 
% 184.61/29.25  | End of split
% 184.61/29.25  | 
% 184.61/29.25  End of proof
% 184.61/29.25  
% 184.61/29.25  Sub-proof #220 shows that the following formulas are inconsistent:
% 184.61/29.25  ----------------------------------------------------------------
% 184.61/29.25    (1)  op(e1, e0) = all_52_14
% 184.61/29.25    (2)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.61/29.25    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.25    (4)   ~ (e3 = e2)
% 184.61/29.25    (5)   ~ (all_52_14 = e3)
% 184.61/29.25    (6)  op(e0, e0) = e2
% 184.61/29.25  
% 184.61/29.25  Begin of proof
% 184.61/29.25  | 
% 184.61/29.25  | BETA: splitting (2) gives:
% 184.61/29.25  | 
% 184.61/29.25  | Case 1:
% 184.61/29.25  | | 
% 184.61/29.25  | |   (7)  all_56_11 = e3 & op(e1, e0) = e3
% 184.61/29.25  | | 
% 184.61/29.25  | | REF_CLOSE: (1), (3), (5), (7) are inconsistent by sub-proof #804.
% 184.61/29.25  | | 
% 184.61/29.25  | Case 2:
% 184.61/29.25  | | 
% 184.61/29.25  | |   (8)  all_56_15 = e3 & op(e0, e0) = e3
% 184.61/29.25  | | 
% 184.61/29.25  | | ALPHA: (8) implies:
% 184.61/29.25  | |   (9)  op(e0, e0) = e3
% 184.61/29.25  | | 
% 184.61/29.25  | | REF_CLOSE: (3), (4), (6), (9) are inconsistent by sub-proof #221.
% 184.61/29.25  | | 
% 184.61/29.25  | End of split
% 184.61/29.25  | 
% 184.61/29.25  End of proof
% 184.61/29.25  
% 184.61/29.25  Sub-proof #221 shows that the following formulas are inconsistent:
% 184.61/29.25  ----------------------------------------------------------------
% 184.61/29.25    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.25    (2)  op(e0, e0) = e3
% 184.61/29.25    (3)  op(e0, e0) = e2
% 184.61/29.25    (4)   ~ (e3 = e2)
% 184.61/29.25  
% 184.61/29.25  Begin of proof
% 184.61/29.25  | 
% 184.61/29.25  | GROUND_INST: instantiating (1) with e2, e3, e0, e0, simplifying with (2), (3)
% 184.61/29.25  |              gives:
% 184.61/29.25  |   (5)  e3 = e2
% 184.61/29.25  | 
% 184.61/29.25  | REDUCE: (4), (5) imply:
% 184.61/29.25  |   (6)  $false
% 184.61/29.25  | 
% 184.61/29.25  | CLOSE: (6) is inconsistent.
% 184.61/29.25  | 
% 184.61/29.25  End of proof
% 184.61/29.25  
% 184.61/29.25  Sub-proof #222 shows that the following formulas are inconsistent:
% 184.61/29.25  ----------------------------------------------------------------
% 184.61/29.25    (1)  op(e0, e0) = all_6_2
% 184.61/29.25    (2)   ~ (all_6_2 = e1)
% 184.61/29.25    (3)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 184.61/29.25    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.25    (5)   ~ (all_57_24 = e1)
% 184.61/29.25    (6)  op(e1, e0) = all_57_24
% 184.61/29.25  
% 184.61/29.25  Begin of proof
% 184.61/29.25  | 
% 184.61/29.25  | BETA: splitting (3) gives:
% 184.61/29.25  | 
% 184.61/29.25  | Case 1:
% 184.61/29.25  | | 
% 184.61/29.25  | |   (7)  all_56_11 = e1 & op(e1, e0) = e1
% 184.61/29.25  | | 
% 184.61/29.25  | | ALPHA: (7) implies:
% 184.61/29.25  | |   (8)  op(e1, e0) = e1
% 184.61/29.25  | | 
% 184.61/29.25  | | REF_CLOSE: (4), (5), (6), (8) are inconsistent by sub-proof #1423.
% 184.61/29.25  | | 
% 184.61/29.25  | Case 2:
% 184.61/29.25  | | 
% 184.61/29.25  | |   (9)  all_56_15 = e1 & op(e0, e0) = e1
% 184.61/29.25  | | 
% 184.61/29.25  | | ALPHA: (9) implies:
% 184.61/29.25  | |   (10)  op(e0, e0) = e1
% 184.61/29.25  | | 
% 184.61/29.25  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1516.
% 184.61/29.25  | | 
% 184.61/29.25  | End of split
% 184.61/29.25  | 
% 184.61/29.25  End of proof
% 184.61/29.25  
% 184.61/29.25  Sub-proof #223 shows that the following formulas are inconsistent:
% 184.61/29.25  ----------------------------------------------------------------
% 184.61/29.25    (1)  op(e0, e0) = all_6_2
% 184.61/29.25    (2)   ~ (all_4_2 = e0)
% 184.61/29.25    (3)   ~ (all_6_2 = e1)
% 184.61/29.25    (4)   ~ (e1 = e0)
% 184.61/29.25    (5)  op(e1, e0) = all_52_14
% 184.61/29.25    (6)  op(e1, e1) = all_14_2
% 184.61/29.25    (7)   ~ (e3 = e0)
% 184.61/29.25    (8)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 184.61/29.25         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 184.61/29.25    (9)   ~ (all_52_14 = e1)
% 184.61/29.25    (10)   ~ (all_52_12 = all_52_13)
% 184.61/29.25    (11)  all_57_27 = e3
% 184.61/29.25    (12)   ~ (all_14_2 = e0)
% 184.61/29.25    (13)  all_54_10 = all_14_2
% 184.61/29.25    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.25            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.25    (15)  all_54_3 = e1 | all_54_3 = e0
% 184.61/29.25    (16)  op(e2, e0) = all_52_13
% 184.61/29.25    (17)  op(e3, e0) = e1
% 184.61/29.25    (18)  op(e3, e3) = all_4_2
% 184.61/29.25    (19)  all_54_10 = e1 | all_54_10 = e0
% 184.61/29.25    (20)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.61/29.25            all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 184.61/29.25            op(e1, e0) = e0)
% 184.61/29.25    (21)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 184.61/29.25          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 184.61/29.25            e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 & $i(all_57_18))
% 184.61/29.25    (22)  all_56_9 = e1
% 184.61/29.25    (23)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8
% 184.61/29.25              = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 =
% 184.61/29.25              e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.61/29.25            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.61/29.25            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 184.61/29.25            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 184.61/29.25            $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 184.61/29.25            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 184.61/29.25            & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 184.61/29.25            op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.61/29.25            all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.61/29.25            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 184.61/29.25            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.61/29.25                op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 184.61/29.25                e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 184.61/29.25    (24)   ~ (all_52_13 = e0)
% 184.61/29.25    (25)  all_54_3 = all_52_12
% 184.61/29.25    (26)   ~ (all_52_12 = e0)
% 184.61/29.25  
% 184.61/29.25  Begin of proof
% 184.61/29.25  | 
% 184.61/29.25  | BETA: splitting (20) gives:
% 184.61/29.25  | 
% 184.61/29.25  | Case 1:
% 184.61/29.25  | | 
% 184.61/29.25  | |   (27)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 184.61/29.25  | | 
% 184.61/29.25  | | ALPHA: (27) implies:
% 184.61/29.25  | |   (28)  all_57_18 = e0
% 184.61/29.25  | |   (29)  op(e3, e0) = e0
% 184.61/29.25  | | 
% 184.61/29.25  | | BETA: splitting (21) gives:
% 184.61/29.25  | | 
% 184.61/29.25  | | Case 1:
% 184.61/29.25  | | | 
% 184.61/29.25  | | |   (30)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2)
% 184.61/29.25  | | |           = e0)
% 184.61/29.25  | | | 
% 184.61/29.25  | | | BETA: splitting (30) gives:
% 184.61/29.25  | | | 
% 184.61/29.25  | | | Case 1:
% 184.61/29.25  | | | | 
% 184.61/29.25  | | | |   (31)  all_57_28 = e0 & op(e3, e3) = e0
% 184.61/29.25  | | | | 
% 184.61/29.25  | | | | ALPHA: (31) implies:
% 184.61/29.25  | | | |   (32)  op(e3, e3) = e0
% 184.61/29.25  | | | | 
% 184.61/29.25  | | | | REF_CLOSE: (2), (14), (18), (32) are inconsistent by sub-proof #1624.
% 184.61/29.25  | | | | 
% 184.61/29.25  | | | Case 2:
% 184.61/29.25  | | | | 
% 184.61/29.25  | | | | 
% 184.61/29.25  | | | | GROUND_INST: instantiating (14) with e1, e0, e0, e3, simplifying with
% 184.61/29.25  | | | |              (17), (29) gives:
% 184.61/29.25  | | | |   (33)  e1 = e0
% 184.61/29.25  | | | | 
% 184.61/29.25  | | | | COMBINE_EQS: (22), (33) imply:
% 184.61/29.25  | | | |   (34)  all_56_9 = e0
% 184.61/29.25  | | | | 
% 184.61/29.25  | | | | REF_CLOSE: (1), (3), (4), (5), (8), (9), (10), (14), (15), (16), (25),
% 184.61/29.25  | | | |            (26), (34) are inconsistent by sub-proof #266.
% 184.61/29.25  | | | | 
% 184.61/29.25  | | | End of split
% 184.61/29.25  | | | 
% 184.61/29.25  | | Case 2:
% 184.61/29.25  | | | 
% 184.61/29.25  | | |   (35)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0)
% 184.61/29.25  | | |           = e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 184.61/29.25  | | |           $i(all_57_18))
% 184.61/29.25  | | | 
% 184.61/29.25  | | | BETA: splitting (35) gives:
% 184.61/29.25  | | | 
% 184.61/29.25  | | | Case 1:
% 184.61/29.25  | | | | 
% 184.61/29.25  | | | |   (36)  all_57_30 = e0 & op(e1, e1) = e0
% 184.61/29.25  | | | | 
% 184.61/29.25  | | | | ALPHA: (36) implies:
% 184.61/29.25  | | | |   (37)  op(e1, e1) = e0
% 184.61/29.25  | | | | 
% 184.61/29.25  | | | | REF_CLOSE: (6), (12), (13), (14), (19), (37) are inconsistent by
% 184.61/29.25  | | | |            sub-proof #1617.
% 184.61/29.25  | | | | 
% 184.61/29.25  | | | Case 2:
% 184.61/29.25  | | | | 
% 184.61/29.25  | | | |   (38)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 184.61/29.25  | | | |           op(e3, e0) = all_57_18 & $i(all_57_18))
% 184.61/29.25  | | | | 
% 184.61/29.25  | | | | BETA: splitting (38) gives:
% 184.61/29.25  | | | | 
% 184.61/29.25  | | | | Case 1:
% 184.61/29.25  | | | | | 
% 184.61/29.25  | | | | |   (39)  all_57_31 = e0 & op(e0, e0) = e0
% 184.61/29.25  | | | | | 
% 184.61/29.25  | | | | | ALPHA: (39) implies:
% 184.61/29.25  | | | | |   (40)  all_57_31 = e0
% 184.61/29.25  | | | | | 
% 184.61/29.25  | | | | | REF_CLOSE: (5), (9), (14), (23), (40) are inconsistent by sub-proof
% 184.61/29.25  | | | | |            #1583.
% 184.61/29.25  | | | | | 
% 184.61/29.25  | | | | Case 2:
% 184.61/29.25  | | | | | 
% 184.61/29.25  | | | | |   (41)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 & $i(all_57_18)
% 184.61/29.25  | | | | | 
% 184.61/29.25  | | | | | ALPHA: (41) implies:
% 184.61/29.25  | | | | |   (42)  op(e3, e0) = all_57_18
% 184.61/29.25  | | | | | 
% 184.61/29.25  | | | | | GROUND_INST: instantiating (14) with e1, e0, e0, e3, simplifying with
% 184.61/29.25  | | | | |              (17), (29) gives:
% 184.61/29.25  | | | | |   (43)  e1 = e0
% 184.61/29.25  | | | | | 
% 184.61/29.25  | | | | | COMBINE_EQS: (22), (43) imply:
% 184.61/29.25  | | | | |   (44)  all_56_9 = e0
% 184.61/29.25  | | | | | 
% 184.61/29.25  | | | | | REF_CLOSE: (1), (3), (4), (5), (8), (9), (10), (14), (15), (16), (25),
% 184.61/29.25  | | | | |            (26), (44) are inconsistent by sub-proof #266.
% 184.61/29.25  | | | | | 
% 184.61/29.25  | | | | End of split
% 184.61/29.25  | | | | 
% 184.61/29.25  | | | End of split
% 184.61/29.25  | | | 
% 184.61/29.25  | | End of split
% 184.61/29.25  | | 
% 184.61/29.25  | Case 2:
% 184.61/29.25  | | 
% 184.61/29.25  | |   (45)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 =
% 184.61/29.25  | |           e0 & all_57_27 = e0 & op(e1, e0) = e0)
% 184.61/29.25  | | 
% 184.61/29.25  | | BETA: splitting (45) gives:
% 184.61/29.25  | | 
% 184.61/29.25  | | Case 1:
% 184.61/29.25  | | | 
% 184.61/29.25  | | |   (46)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 184.61/29.25  | | | 
% 184.61/29.25  | | | ALPHA: (46) implies:
% 184.61/29.25  | | |   (47)  op(e2, e0) = e0
% 184.61/29.25  | | | 
% 184.61/29.25  | | | REF_CLOSE: (14), (16), (24), (47) are inconsistent by sub-proof #1504.
% 184.61/29.25  | | | 
% 184.61/29.25  | | Case 2:
% 184.61/29.25  | | | 
% 184.61/29.25  | | |   (48)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 184.61/29.25  | | | 
% 184.61/29.25  | | | ALPHA: (48) implies:
% 184.61/29.25  | | |   (49)  all_57_27 = e0
% 184.61/29.25  | | | 
% 184.61/29.25  | | | COMBINE_EQS: (11), (49) imply:
% 184.61/29.25  | | |   (50)  e3 = e0
% 184.61/29.25  | | | 
% 184.61/29.25  | | | REDUCE: (7), (50) imply:
% 184.61/29.25  | | |   (51)  $false
% 184.61/29.25  | | | 
% 184.61/29.25  | | | CLOSE: (51) is inconsistent.
% 184.61/29.25  | | | 
% 184.61/29.25  | | End of split
% 184.61/29.25  | | 
% 184.61/29.25  | End of split
% 184.61/29.25  | 
% 184.61/29.25  End of proof
% 184.61/29.25  
% 184.61/29.25  Sub-proof #224 shows that the following formulas are inconsistent:
% 184.61/29.25  ----------------------------------------------------------------
% 184.61/29.25    (1)   ~ (all_52_11 = e1)
% 184.61/29.25    (2)  op(e0, e1) = all_52_11
% 184.61/29.25    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.25    (4)  op(e0, e1) = all_57_27
% 184.61/29.25    (5)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 =
% 184.61/29.25             e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0)
% 184.61/29.25           & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.61/29.25             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.61/29.25           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 184.61/29.25           $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 184.61/29.25           $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 184.61/29.25           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 184.61/29.25           & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 184.61/29.25           op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.61/29.25           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.61/29.25           $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 184.61/29.25           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.61/29.25               op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 184.61/29.25               e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 184.61/29.25    (6)  all_57_31 = e0
% 184.61/29.25  
% 184.61/29.25  Begin of proof
% 184.61/29.25  | 
% 184.61/29.25  | BETA: splitting (5) gives:
% 184.61/29.25  | 
% 184.61/29.25  | Case 1:
% 184.61/29.25  | | 
% 184.61/29.25  | |   (7)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 184.61/29.25  | |        (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.61/29.25  | |        (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) =
% 184.61/29.25  | |        all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 184.61/29.25  | |        op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.61/29.25  | |        $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.61/29.25  | |        $i(all_57_23) & $i(all_57_30)
% 184.61/29.25  | | 
% 184.61/29.25  | | ALPHA: (7) implies:
% 184.61/29.25  | |   (8)  all_57_27 = e1
% 184.61/29.25  | | 
% 184.61/29.25  | | REDUCE: (4), (8) imply:
% 184.61/29.25  | |   (9)  op(e0, e1) = e1
% 184.61/29.25  | | 
% 184.61/29.25  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #1517.
% 184.61/29.25  | | 
% 184.61/29.25  | Case 2:
% 184.61/29.25  | | 
% 184.61/29.25  | |   (10)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.61/29.25  | |         (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 184.61/29.25  | |         = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 184.61/29.25  | |         all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.61/29.25  | |           e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.61/29.25  | |         $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.61/29.25  | |         (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.61/29.25  | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 184.61/29.25  | |           (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 184.61/29.25  | | 
% 184.61/29.25  | | REF_CLOSE: (3), (6), (10) are inconsistent by sub-proof #1584.
% 184.61/29.25  | | 
% 184.61/29.25  | End of split
% 184.61/29.25  | 
% 184.61/29.25  End of proof
% 184.61/29.25  
% 184.61/29.25  Sub-proof #225 shows that the following formulas are inconsistent:
% 184.61/29.25  ----------------------------------------------------------------
% 184.61/29.25    (1)  op(e2, e1) = all_52_9
% 184.61/29.25    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.25    (3)   ~ (all_52_9 = e2)
% 184.61/29.25    (4)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 184.61/29.25             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.61/29.25           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.61/29.25             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.61/29.25           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 184.61/29.25           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 184.61/29.25           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 184.61/29.25           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 184.61/29.25           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 184.61/29.25           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.61/29.25             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 184.61/29.25           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.61/29.25           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 184.61/29.25    (5)   ~ (all_52_7 = e2)
% 184.61/29.25    (6)  op(e0, e2) = all_52_7
% 184.61/29.25  
% 184.61/29.25  Begin of proof
% 184.61/29.25  | 
% 184.61/29.25  | BETA: splitting (4) gives:
% 184.61/29.25  | 
% 184.61/29.25  | Case 1:
% 184.61/29.25  | | 
% 184.61/29.25  | |   (7)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4
% 184.61/29.25  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 184.61/29.25  | |          e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 &
% 184.61/29.25  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.61/29.25  | |        all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 184.61/29.25  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 184.61/29.25  | |        $i(all_57_21) & $i(all_57_29)
% 184.61/29.25  | | 
% 184.61/29.25  | | ALPHA: (7) implies:
% 184.61/29.25  | |   (8)  op(e2, e1) = e2
% 184.61/29.25  | | 
% 184.61/29.25  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #226.
% 184.61/29.25  | | 
% 184.61/29.25  | Case 2:
% 184.61/29.25  | | 
% 184.61/29.25  | |   (9)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4
% 184.61/29.25  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 =
% 184.61/29.25  | |          e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20) = all_57_6 &
% 184.61/29.25  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.61/29.25  | |        all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) =
% 184.61/29.25  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_19) &
% 184.61/29.25  | |        $i(all_57_20) & $i(all_57_29)
% 184.61/29.25  | | 
% 184.61/29.25  | | ALPHA: (9) implies:
% 184.61/29.25  | |   (10)  op(e0, e2) = e2
% 184.61/29.25  | | 
% 184.61/29.25  | | REF_CLOSE: (2), (5), (6), (10) are inconsistent by sub-proof #1613.
% 184.61/29.25  | | 
% 184.61/29.25  | End of split
% 184.61/29.25  | 
% 184.61/29.25  End of proof
% 184.61/29.25  
% 184.61/29.25  Sub-proof #226 shows that the following formulas are inconsistent:
% 184.61/29.25  ----------------------------------------------------------------
% 184.61/29.25    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.25    (2)  op(e2, e1) = all_52_9
% 184.61/29.25    (3)  op(e2, e1) = e2
% 184.61/29.25    (4)   ~ (all_52_9 = e2)
% 184.61/29.25  
% 184.61/29.25  Begin of proof
% 184.61/29.25  | 
% 184.61/29.25  | GROUND_INST: instantiating (1) with all_52_9, e2, e1, e2, simplifying with
% 184.61/29.25  |              (2), (3) gives:
% 184.61/29.25  |   (5)  all_52_9 = e2
% 184.61/29.25  | 
% 184.61/29.25  | REDUCE: (4), (5) imply:
% 184.61/29.25  |   (6)  $false
% 184.61/29.25  | 
% 184.61/29.25  | CLOSE: (6) is inconsistent.
% 184.61/29.25  | 
% 184.61/29.25  End of proof
% 184.61/29.25  
% 184.61/29.25  Sub-proof #227 shows that the following formulas are inconsistent:
% 184.61/29.25  ----------------------------------------------------------------
% 184.61/29.25    (1)  op(e1, e3) = e2
% 184.61/29.25    (2)  op(e2, e3) = all_52_1
% 184.61/29.25    (3)   ~ (all_52_1 = e3)
% 184.61/29.25    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.26    (5)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 184.61/29.26             e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.61/29.26           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.61/29.26             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.61/29.26           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 184.61/29.26           $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.61/29.26           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3
% 184.61/29.26           & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.61/29.26           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 184.61/29.26           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.61/29.26             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 184.61/29.26             e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.61/29.26           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 184.61/29.26    (6)   ~ (e3 = e2)
% 184.61/29.26  
% 184.61/29.26  Begin of proof
% 184.61/29.26  | 
% 184.61/29.26  | BETA: splitting (5) gives:
% 184.61/29.26  | 
% 184.61/29.26  | Case 1:
% 184.61/29.26  | | 
% 184.61/29.26  | |   (7)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0
% 184.61/29.26  | |          = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 =
% 184.61/29.26  | |          e2) & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 &
% 184.61/29.26  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.61/29.26  | |        e3 & op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 184.61/29.26  | |        e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.61/29.26  | |        $i(all_57_18) & $i(all_57_28)
% 184.61/29.26  | | 
% 184.61/29.26  | | ALPHA: (7) implies:
% 184.61/29.26  | |   (8)  op(e2, e3) = e3
% 184.61/29.26  | | 
% 184.61/29.26  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #286.
% 184.61/29.26  | | 
% 184.61/29.26  | Case 2:
% 184.61/29.26  | | 
% 184.61/29.26  | |   (9)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0
% 184.61/29.26  | |          = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0) &  ~ (all_57_28 =
% 184.61/29.26  | |          e1) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_18) = all_57_3 &
% 184.61/29.26  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.61/29.26  | |        all_57_16 & op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1, e3) =
% 184.61/29.26  | |        e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 184.61/29.26  | |        $i(all_57_18) & $i(all_57_28)
% 184.61/29.26  | | 
% 184.61/29.26  | | ALPHA: (9) implies:
% 184.61/29.26  | |   (10)  op(e1, e3) = e3
% 184.61/29.26  | | 
% 184.61/29.26  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1021.
% 184.61/29.26  | | 
% 184.61/29.26  | End of split
% 184.61/29.26  | 
% 184.61/29.26  End of proof
% 184.61/29.26  
% 184.61/29.26  Sub-proof #228 shows that the following formulas are inconsistent:
% 184.61/29.26  ----------------------------------------------------------------
% 184.61/29.26    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.26    (2)  op(e0, e0) = e2
% 184.61/29.26    (3)  op(e0, e0) = e0
% 184.61/29.26    (4)   ~ (e2 = e0)
% 184.61/29.26  
% 184.61/29.26  Begin of proof
% 184.61/29.26  | 
% 184.61/29.26  | GROUND_INST: instantiating (1) with e2, e0, e0, e0, simplifying with (2), (3)
% 184.61/29.26  |              gives:
% 184.61/29.26  |   (5)  e2 = e0
% 184.61/29.26  | 
% 184.61/29.26  | REDUCE: (4), (5) imply:
% 184.61/29.26  |   (6)  $false
% 184.61/29.26  | 
% 184.61/29.26  | CLOSE: (6) is inconsistent.
% 184.61/29.26  | 
% 184.61/29.26  End of proof
% 184.61/29.26  
% 184.61/29.26  Sub-proof #229 shows that the following formulas are inconsistent:
% 184.61/29.26  ----------------------------------------------------------------
% 184.61/29.26    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.61/29.26         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.61/29.26    (2)   ~ (e3 = e0)
% 184.61/29.26    (3)  op(e2, e1) = e1
% 184.61/29.26    (4)   ~ (e3 = e1)
% 184.61/29.26    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.26    (6)   ~ (e3 = e2)
% 184.61/29.26    (7)  op(e3, e1) = e0
% 184.61/29.26    (8)  op(e3, e1) = all_52_8
% 184.61/29.26    (9)  op(e1, e1) = e2
% 184.61/29.26    (10)  all_56_14 = e0
% 184.61/29.26  
% 184.61/29.26  Begin of proof
% 184.61/29.26  | 
% 184.61/29.26  | BETA: splitting (1) gives:
% 184.61/29.26  | 
% 184.61/29.26  | Case 1:
% 184.61/29.26  | | 
% 184.61/29.26  | |   (11)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 184.61/29.26  | |           e3)
% 184.61/29.26  | | 
% 184.61/29.26  | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (11) are inconsistent by sub-proof
% 184.61/29.26  | |            #653.
% 184.61/29.26  | | 
% 184.61/29.26  | Case 2:
% 184.61/29.26  | | 
% 184.61/29.26  | |   (12)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 184.61/29.26  | |           e3)
% 184.61/29.26  | | 
% 184.61/29.26  | | REF_CLOSE: (2), (5), (6), (9), (10), (12) are inconsistent by sub-proof
% 184.61/29.26  | |            #370.
% 184.61/29.26  | | 
% 184.61/29.26  | End of split
% 184.61/29.26  | 
% 184.61/29.26  End of proof
% 184.61/29.26  
% 184.61/29.26  Sub-proof #230 shows that the following formulas are inconsistent:
% 184.61/29.26  ----------------------------------------------------------------
% 184.61/29.26    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.26    (2)   ~ (all_52_6 = e2)
% 184.61/29.26    (3)  op(e0, e2) = e1
% 184.61/29.26    (4)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.61/29.26    (5)  op(e1, e2) = all_52_6
% 184.61/29.26    (6)   ~ (e2 = e1)
% 184.61/29.26  
% 184.61/29.26  Begin of proof
% 184.61/29.26  | 
% 184.61/29.26  | BETA: splitting (4) gives:
% 184.61/29.26  | 
% 184.61/29.26  | Case 1:
% 184.61/29.26  | | 
% 184.61/29.26  | |   (7)  all_56_7 = e2 & op(e1, e2) = e2
% 184.61/29.26  | | 
% 184.61/29.26  | | ALPHA: (7) implies:
% 184.61/29.26  | |   (8)  op(e1, e2) = e2
% 184.61/29.26  | | 
% 184.61/29.26  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1614.
% 184.61/29.26  | | 
% 184.61/29.26  | Case 2:
% 184.61/29.26  | | 
% 184.61/29.26  | |   (9)  all_56_13 = e2 & op(e0, e2) = e2
% 184.61/29.26  | | 
% 184.61/29.26  | | ALPHA: (9) implies:
% 184.61/29.26  | |   (10)  op(e0, e2) = e2
% 184.61/29.26  | | 
% 184.61/29.26  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #279.
% 184.61/29.26  | | 
% 184.61/29.26  | End of split
% 184.61/29.26  | 
% 184.61/29.26  End of proof
% 184.61/29.26  
% 184.61/29.26  Sub-proof #231 shows that the following formulas are inconsistent:
% 184.61/29.26  ----------------------------------------------------------------
% 184.61/29.26    (1)  op(e0, e0) = all_6_2
% 184.61/29.26    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.61/29.26         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.61/29.26    (3)   ~ (e1 = e0)
% 184.61/29.26    (4)   ~ (e3 = e0)
% 184.61/29.26    (5)   ~ (e2 = e0)
% 184.61/29.26    (6)   ~ (e3 = e1)
% 184.61/29.26    (7)   ~ (all_6_2 = e2)
% 184.61/29.26    (8)  all_56_5 = e1
% 184.61/29.26    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.26    (10)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.61/29.26          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.61/29.26    (11)   ~ (e3 = e2)
% 184.61/29.26    (12)  op(e3, e1) = all_52_8
% 184.61/29.26    (13)  op(e1, e1) = e2
% 184.61/29.26    (14)   ~ (e2 = e1)
% 184.61/29.26    (15)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.61/29.26    (16)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.61/29.26          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.61/29.26  
% 184.61/29.26  Begin of proof
% 184.61/29.26  | 
% 184.61/29.26  | BETA: splitting (15) gives:
% 184.61/29.26  | 
% 184.61/29.26  | Case 1:
% 184.61/29.26  | | 
% 184.61/29.26  | |   (17)  all_56_14 = e2 & op(e0, e1) = e2
% 184.61/29.26  | | 
% 184.61/29.26  | | ALPHA: (17) implies:
% 184.61/29.26  | |   (18)  all_56_14 = e2
% 184.61/29.26  | | 
% 184.61/29.26  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13), (14),
% 184.61/29.26  | |            (16), (18) are inconsistent by sub-proof #977.
% 184.61/29.26  | | 
% 184.61/29.26  | Case 2:
% 184.61/29.26  | | 
% 184.61/29.26  | |   (19)  all_56_15 = e2 & op(e0, e0) = e2
% 184.61/29.26  | | 
% 184.61/29.26  | | ALPHA: (19) implies:
% 184.61/29.26  | |   (20)  op(e0, e0) = e2
% 184.61/29.26  | | 
% 184.61/29.26  | | REF_CLOSE: (1), (7), (9), (20) are inconsistent by sub-proof #1511.
% 184.61/29.26  | | 
% 184.61/29.26  | End of split
% 184.61/29.26  | 
% 184.61/29.26  End of proof
% 184.61/29.26  
% 184.61/29.26  Sub-proof #232 shows that the following formulas are inconsistent:
% 184.61/29.26  ----------------------------------------------------------------
% 184.61/29.26    (1)   ~ (all_52_8 = e3)
% 184.61/29.26    (2)  op(e2, e3) = all_52_1
% 184.61/29.26    (3)   ~ (all_52_1 = e3)
% 184.61/29.26    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.26    (5)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 184.61/29.26             e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.61/29.26           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.61/29.26             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.61/29.26           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 184.61/29.26           $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.61/29.26           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3
% 184.61/29.26           & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.61/29.26           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 184.61/29.26           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.61/29.26             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 184.61/29.26             e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.61/29.26           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 184.61/29.26    (6)  all_54_2 = e1 | all_54_2 = e0
% 184.61/29.26    (7)  all_54_2 = all_52_8
% 184.61/29.26    (8)  op(e3, e1) = all_52_8
% 184.61/29.26    (9)   ~ (all_52_8 = e1)
% 184.61/29.26  
% 184.61/29.26  Begin of proof
% 184.61/29.26  | 
% 184.61/29.26  | BETA: splitting (5) gives:
% 184.61/29.26  | 
% 184.61/29.26  | Case 1:
% 184.61/29.26  | | 
% 184.61/29.26  | |   (10)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~
% 184.61/29.26  | |         (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~
% 184.61/29.26  | |         (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.61/29.26  | |         = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 184.61/29.26  | |         op(e3, e2) = e3 & op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 &
% 184.61/29.26  | |         op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 184.61/29.26  | |         $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 184.61/29.26  | | 
% 184.61/29.26  | | ALPHA: (10) implies:
% 184.61/29.26  | |   (11)  op(e2, e3) = e3
% 184.61/29.26  | | 
% 184.61/29.26  | | REF_CLOSE: (2), (3), (4), (11) are inconsistent by sub-proof #286.
% 184.61/29.26  | | 
% 184.61/29.26  | Case 2:
% 184.61/29.26  | | 
% 184.61/29.26  | |   (12)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 = e3 &  ~
% 184.61/29.26  | |         (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0) &  ~
% 184.61/29.26  | |         (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_18)
% 184.61/29.26  | |         = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 184.61/29.26  | |         op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3, e0) = all_57_18 &
% 184.61/29.26  | |         op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.61/29.26  | |         $i(all_57_16) & $i(all_57_18) & $i(all_57_28)
% 184.61/29.26  | | 
% 184.61/29.26  | | ALPHA: (12) implies:
% 184.61/29.26  | |   (13)  op(e3, e1) = e3
% 184.61/29.26  | | 
% 184.61/29.26  | | REF_CLOSE: (1), (4), (6), (7), (8), (9), (13) are inconsistent by sub-proof
% 184.61/29.26  | |            #1478.
% 184.61/29.26  | | 
% 184.61/29.26  | End of split
% 184.61/29.26  | 
% 184.61/29.26  End of proof
% 184.61/29.26  
% 184.61/29.26  Sub-proof #233 shows that the following formulas are inconsistent:
% 184.61/29.26  ----------------------------------------------------------------
% 184.61/29.26    (1)   ~ (all_42_0 = e3) & op(e2, e2) = all_42_0 & $i(all_42_0)
% 184.61/29.26    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.26    (3)  op(e2, e2) = e3
% 184.61/29.26  
% 184.61/29.26  Begin of proof
% 184.61/29.26  | 
% 184.61/29.26  | ALPHA: (1) implies:
% 184.61/29.26  |   (4)   ~ (all_42_0 = e3)
% 184.61/29.26  |   (5)  op(e2, e2) = all_42_0
% 184.61/29.26  | 
% 184.61/29.26  | GROUND_INST: instantiating (2) with e3, all_42_0, e2, e2, simplifying with
% 184.61/29.26  |              (3), (5) gives:
% 184.61/29.26  |   (6)  all_42_0 = e3
% 184.61/29.26  | 
% 184.61/29.26  | REDUCE: (4), (6) imply:
% 184.61/29.26  |   (7)  $false
% 184.61/29.26  | 
% 184.61/29.26  | CLOSE: (7) is inconsistent.
% 184.61/29.26  | 
% 184.61/29.26  End of proof
% 184.61/29.26  
% 184.61/29.26  Sub-proof #234 shows that the following formulas are inconsistent:
% 184.61/29.26  ----------------------------------------------------------------
% 184.61/29.26    (1)   ~ (all_52_4 = all_52_12)
% 184.61/29.26    (2)   ~ (all_52_8 = e3)
% 184.61/29.26    (3)  op(e3, e0) = all_52_12
% 184.61/29.26    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.26    (5)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 184.61/29.26             e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.61/29.26           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.61/29.26             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.61/29.26           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 184.61/29.26           $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.61/29.26           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3
% 184.61/29.26           & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.61/29.26           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 184.61/29.26           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.61/29.26             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 184.61/29.26             e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.61/29.26           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 184.61/29.26    (6)  all_54_2 = e1 | all_54_2 = e0
% 184.61/29.26    (7)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 184.61/29.26    (8)  all_54_2 = all_52_8
% 184.61/29.26    (9)  op(e3, e1) = all_52_8
% 184.61/29.26    (10)  op(e3, e2) = all_52_4
% 184.61/29.26    (11)  op(e3, e0) = e3
% 184.61/29.26    (12)  all_54_3 = all_52_12
% 184.61/29.26    (13)   ~ (all_52_8 = e1)
% 184.61/29.26  
% 184.61/29.26  Begin of proof
% 184.61/29.26  | 
% 184.61/29.26  | BETA: splitting (5) gives:
% 184.61/29.26  | 
% 184.61/29.26  | Case 1:
% 184.61/29.26  | | 
% 184.61/29.26  | |   (14)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~
% 184.61/29.26  | |         (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~
% 184.61/29.26  | |         (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.61/29.26  | |         = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 184.61/29.26  | |         op(e3, e2) = e3 & op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 &
% 184.61/29.26  | |         op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 184.61/29.26  | |         $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 184.61/29.26  | | 
% 184.61/29.26  | | ALPHA: (14) implies:
% 184.61/29.26  | |   (15)  op(e3, e2) = e3
% 184.61/29.26  | | 
% 184.61/29.26  | | REF_CLOSE: (1), (3), (4), (7), (10), (11), (12), (15) are inconsistent by
% 184.61/29.26  | |            sub-proof #1089.
% 184.61/29.26  | | 
% 184.61/29.26  | Case 2:
% 184.61/29.26  | | 
% 184.61/29.26  | |   (16)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 = e3 &  ~
% 184.61/29.26  | |         (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0) &  ~
% 184.61/29.26  | |         (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_18)
% 184.61/29.26  | |         = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 184.61/29.26  | |         op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3, e0) = all_57_18 &
% 184.61/29.26  | |         op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.61/29.26  | |         $i(all_57_16) & $i(all_57_18) & $i(all_57_28)
% 184.61/29.26  | | 
% 184.61/29.26  | | ALPHA: (16) implies:
% 184.61/29.26  | |   (17)  op(e3, e1) = e3
% 184.61/29.26  | | 
% 184.61/29.26  | | REF_CLOSE: (2), (4), (6), (8), (9), (13), (17) are inconsistent by sub-proof
% 184.61/29.26  | |            #1478.
% 184.61/29.26  | | 
% 184.61/29.26  | End of split
% 184.61/29.26  | 
% 184.61/29.26  End of proof
% 184.61/29.26  
% 184.61/29.26  Sub-proof #235 shows that the following formulas are inconsistent:
% 184.61/29.26  ----------------------------------------------------------------
% 184.61/29.26    (1)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 = e1 &  ~ (all_57_9 =
% 184.61/29.26             e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3)
% 184.61/29.26           & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1, all_57_24) =
% 184.61/29.26           all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = e1 & op(e1,
% 184.61/29.26             e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 &
% 184.61/29.26           $i(all_57_9) & $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.61/29.26           $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30 & all_57_20 = e1
% 184.61/29.26           & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.61/29.26           (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1 & op(e1,
% 184.61/29.26             all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 & op(e1,
% 184.61/29.26             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) = e1 &
% 184.61/29.26           op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 184.61/29.26           $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.61/29.26           $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 184.61/29.26               = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 184.61/29.26               &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 184.61/29.26               op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.61/29.26               op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2)
% 184.61/29.26               = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.61/29.26               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.61/29.26               $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.61/29.26               (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.61/29.26               op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.61/29.26               op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.61/29.26               op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 184.61/29.26               all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.61/29.26               $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.61/29.26               (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.61/29.26                   e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 184.61/29.26                 (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 184.61/29.26    (2)   ~ (e1 = e0)
% 184.61/29.26    (3)  op(e1, e2) = e0
% 184.61/29.26    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.26    (5)  op(e0, e1) = e2
% 184.61/29.26    (6)  op(e3, e1) = all_52_8
% 184.61/29.26    (7)   ~ (e2 = e1)
% 184.61/29.26    (8)  all_57_31 = e0
% 184.61/29.26    (9)   ~ (all_52_8 = e1)
% 184.61/29.26  
% 184.61/29.26  Begin of proof
% 184.61/29.26  | 
% 184.61/29.26  | BETA: splitting (1) gives:
% 184.61/29.26  | 
% 184.61/29.26  | Case 1:
% 184.61/29.26  | | 
% 184.61/29.26  | |   (10)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 = e1 &  ~
% 184.61/29.26  | |         (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 184.61/29.26  | |         (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.61/29.26  | |         op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 184.61/29.26  | |         op(e1, e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 &
% 184.61/29.26  | |         op(e1, e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 184.61/29.26  | |         $i(all_57_11) & $i(all_57_23) & $i(all_57_24) & $i(all_57_30)
% 184.61/29.26  | | 
% 184.61/29.26  | | ALPHA: (10) implies:
% 184.61/29.26  | |   (11)  op(e3, e1) = e1
% 184.61/29.26  | | 
% 184.61/29.26  | | REF_CLOSE: (4), (6), (9), (11) are inconsistent by sub-proof #1611.
% 184.61/29.26  | | 
% 184.61/29.26  | Case 2:
% 184.61/29.26  | | 
% 184.61/29.26  | |   (12)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.61/29.26  | |           (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 184.61/29.26  | |           (all_57_30 = e2) & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8
% 184.61/29.26  | |           & op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 184.61/29.26  | |           op(e1, e3) = all_57_22 & op(e1, e2) = e1 & op(e1, e1) = all_57_30
% 184.61/29.26  | |           & op(e1, e0) = all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 184.61/29.26  | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.61/29.26  | |         (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 184.61/29.26  | |               all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.61/29.26  | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 184.61/29.26  | |               op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.61/29.26  | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 184.61/29.26  | |               op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.61/29.26  | |               e1 & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 184.61/29.26  | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~
% 184.61/29.26  | |               (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &
% 184.61/29.26  | |                ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0,
% 184.61/29.26  | |                 all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 184.61/29.26  | |               op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 &
% 184.61/29.26  | |               op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31 &
% 184.61/29.26  | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14) & $i(all_57_15)
% 184.61/29.26  | |               & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.61/29.26  | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 184.61/29.26  | |                 (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 184.61/29.26  | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 184.61/29.26  | | 
% 184.61/29.26  | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (12) are inconsistent by sub-proof
% 184.61/29.26  | |            #860.
% 184.61/29.26  | | 
% 184.61/29.26  | End of split
% 184.61/29.26  | 
% 184.61/29.26  End of proof
% 184.61/29.26  
% 184.61/29.26  Sub-proof #236 shows that the following formulas are inconsistent:
% 184.61/29.26  ----------------------------------------------------------------
% 184.61/29.26    (1)  op(e0, e3) = e3
% 184.61/29.26    (2)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.61/29.26    (3)   ~ (all_52_4 = all_52_7)
% 184.61/29.26    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.26    (5)   ~ (e3 = e2)
% 184.61/29.26    (6)  op(e3, e2) = all_52_4
% 184.61/29.26    (7)  op(e3, e2) = e2
% 184.61/29.26    (8)  op(e0, e2) = all_52_7
% 184.61/29.26  
% 184.61/29.26  Begin of proof
% 184.61/29.26  | 
% 184.61/29.26  | BETA: splitting (2) gives:
% 184.61/29.26  | 
% 184.61/29.26  | Case 1:
% 184.61/29.26  | | 
% 184.61/29.26  | |   (9)  all_56_12 = e2 & op(e0, e3) = e2
% 184.61/29.26  | | 
% 184.61/29.26  | | ALPHA: (9) implies:
% 184.61/29.26  | |   (10)  op(e0, e3) = e2
% 184.61/29.26  | | 
% 184.61/29.26  | | REF_CLOSE: (1), (4), (5), (10) are inconsistent by sub-proof #1039.
% 184.61/29.26  | | 
% 184.61/29.26  | Case 2:
% 184.61/29.26  | | 
% 184.61/29.26  | |   (11)  all_56_13 = e2 & op(e0, e2) = e2
% 184.61/29.26  | | 
% 184.61/29.26  | | ALPHA: (11) implies:
% 184.61/29.26  | |   (12)  op(e0, e2) = e2
% 184.61/29.26  | | 
% 184.61/29.26  | | REF_CLOSE: (3), (4), (6), (7), (8), (12) are inconsistent by sub-proof
% 184.61/29.26  | |            #1342.
% 184.61/29.26  | | 
% 184.61/29.26  | End of split
% 184.61/29.26  | 
% 184.61/29.26  End of proof
% 184.61/29.26  
% 184.61/29.26  Sub-proof #237 shows that the following formulas are inconsistent:
% 184.61/29.26  ----------------------------------------------------------------
% 184.61/29.26    (1)  op(e0, e3) = e3
% 184.61/29.26    (2)   ~ (all_4_2 = e0)
% 184.61/29.26    (3)   ~ (e1 = e0)
% 184.61/29.26    (4)  all_56_2 = e2
% 184.61/29.26    (5)   ~ (e3 = e0)
% 184.61/29.26    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.61/29.26         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.61/29.26    (7)   ~ (e2 = e0)
% 184.61/29.26    (8)   ~ (e3 = e1)
% 184.61/29.26    (9)  op(e3, e3) = e2
% 184.61/29.26    (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 184.61/29.26          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 184.61/29.26    (11)  op(e0, e3) = all_52_3
% 184.61/29.26    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.26            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.26    (13)   ~ (e3 = e2)
% 184.61/29.26    (14)  op(e3, e3) = all_4_2
% 184.61/29.26    (15)   ~ (e2 = e1)
% 184.61/29.26    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.61/29.26          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.61/29.26  
% 184.61/29.26  Begin of proof
% 184.61/29.26  | 
% 184.61/29.26  | BETA: splitting (6) gives:
% 184.61/29.26  | 
% 184.61/29.26  | Case 1:
% 184.61/29.26  | | 
% 184.61/29.26  | |   (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 184.61/29.26  | |           e1)
% 184.61/29.26  | | 
% 184.61/29.26  | | BETA: splitting (17) gives:
% 184.61/29.26  | | 
% 184.61/29.26  | | Case 1:
% 184.61/29.26  | | | 
% 184.61/29.26  | | |   (18)  all_56_0 = e1 & op(e3, e3) = e1
% 184.61/29.26  | | | 
% 184.61/29.26  | | | ALPHA: (18) implies:
% 184.61/29.26  | | |   (19)  op(e3, e3) = e1
% 184.61/29.26  | | | 
% 184.61/29.26  | | | REF_CLOSE: (9), (12), (15), (19) are inconsistent by sub-proof #1582.
% 184.61/29.26  | | | 
% 184.61/29.26  | | Case 2:
% 184.61/29.26  | | | 
% 184.61/29.26  | | |   (20)  all_56_2 = e1 & op(e2, e3) = e1
% 184.61/29.26  | | | 
% 184.61/29.26  | | | ALPHA: (20) implies:
% 184.61/29.26  | | |   (21)  all_56_2 = e1
% 184.61/29.26  | | | 
% 184.61/29.26  | | | REF_CLOSE: (4), (15), (21) are inconsistent by sub-proof #1363.
% 184.61/29.26  | | | 
% 184.61/29.26  | | End of split
% 184.61/29.26  | | 
% 184.61/29.26  | Case 2:
% 184.61/29.26  | | 
% 184.61/29.26  | |   (22)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 184.61/29.26  | |           e1)
% 184.61/29.26  | | 
% 184.61/29.26  | | BETA: splitting (22) gives:
% 184.61/29.26  | | 
% 184.61/29.26  | | Case 1:
% 184.61/29.26  | | | 
% 184.61/29.26  | | |   (23)  all_56_6 = e1 & op(e1, e3) = e1
% 184.61/29.26  | | | 
% 184.61/29.26  | | | ALPHA: (23) implies:
% 184.61/29.26  | | |   (24)  all_56_6 = e1
% 184.61/29.26  | | | 
% 184.61/29.27  | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (12), (13), (14),
% 184.61/29.27  | | |            (16), (24) are inconsistent by sub-proof #479.
% 184.61/29.27  | | | 
% 184.61/29.27  | | Case 2:
% 184.61/29.27  | | | 
% 184.61/29.27  | | |   (25)  all_56_12 = e1 & op(e0, e3) = e1
% 184.61/29.27  | | | 
% 184.61/29.27  | | | ALPHA: (25) implies:
% 184.61/29.27  | | |   (26)  op(e0, e3) = e1
% 184.61/29.27  | | | 
% 184.61/29.27  | | | REF_CLOSE: (1), (8), (11), (12), (26) are inconsistent by sub-proof #1529.
% 184.61/29.27  | | | 
% 184.61/29.27  | | End of split
% 184.61/29.27  | | 
% 184.61/29.27  | End of split
% 184.61/29.27  | 
% 184.61/29.27  End of proof
% 184.61/29.27  
% 184.61/29.27  Sub-proof #238 shows that the following formulas are inconsistent:
% 184.61/29.27  ----------------------------------------------------------------
% 184.61/29.27    (1)  op(e1, e1) = e3
% 184.61/29.27    (2)  op(e1, e1) = all_57_30
% 184.61/29.27    (3)   ~ (e1 = e0)
% 184.61/29.27    (4)   ~ (e3 = e0)
% 184.61/29.27    (5)  op(e0, e1) = all_52_11
% 184.61/29.27    (6)  op(e2, e1) = all_52_9
% 184.61/29.27    (7)   ~ (e2 = e0)
% 184.61/29.27    (8)   ~ (e3 = e1)
% 184.61/29.27    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.27    (10)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.61/29.27          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.61/29.27    (11)   ~ (all_57_30 = e1)
% 184.61/29.27    (12)  op(e2, e1) = all_57_20
% 184.61/29.27    (13)   ~ (all_52_9 = e2)
% 184.61/29.27    (14)   ~ (e3 = e2)
% 184.61/29.27    (15)  all_56_14 = e3
% 184.61/29.27    (16)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 184.61/29.27          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.61/29.27    (17)  op(e0, e1) = all_57_27
% 184.61/29.27    (18)   ~ (e2 = e1)
% 184.61/29.27    (19)   ~ (all_52_11 = e0)
% 184.61/29.27    (20)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.61/29.27          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.61/29.27  
% 184.61/29.27  Begin of proof
% 184.61/29.27  | 
% 184.61/29.27  | BETA: splitting (16) gives:
% 184.61/29.27  | 
% 184.61/29.27  | Case 1:
% 184.61/29.27  | | 
% 184.61/29.27  | |   (21)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 184.61/29.27  | |           e2)
% 184.61/29.27  | | 
% 184.61/29.27  | | BETA: splitting (21) gives:
% 184.61/29.27  | | 
% 184.61/29.27  | | Case 1:
% 184.61/29.27  | | | 
% 184.61/29.27  | | |   (22)  all_56_4 = e2 & op(e3, e1) = e2
% 184.61/29.27  | | | 
% 184.61/29.27  | | | ALPHA: (22) implies:
% 184.61/29.27  | | |   (23)  all_56_4 = e2
% 184.61/29.27  | | | 
% 184.61/29.27  | | | BETA: splitting (10) gives:
% 184.61/29.27  | | | 
% 184.61/29.27  | | | Case 1:
% 184.61/29.27  | | | | 
% 184.61/29.27  | | | |   (24)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1)
% 184.61/29.27  | | | |           = e0)
% 184.61/29.27  | | | | 
% 184.61/29.27  | | | | BETA: splitting (24) gives:
% 184.61/29.27  | | | | 
% 184.61/29.27  | | | | Case 1:
% 184.61/29.27  | | | | | 
% 184.61/29.27  | | | | |   (25)  all_56_4 = e0 & op(e3, e1) = e0
% 184.61/29.27  | | | | | 
% 184.61/29.27  | | | | | ALPHA: (25) implies:
% 184.61/29.27  | | | | |   (26)  all_56_4 = e0
% 184.61/29.27  | | | | | 
% 184.61/29.27  | | | | | REF_CLOSE: (1), (3), (7), (8), (9), (14), (15), (16), (18), (20), (26)
% 184.61/29.27  | | | | |            are inconsistent by sub-proof #813.
% 184.61/29.27  | | | | | 
% 184.61/29.27  | | | | Case 2:
% 184.61/29.27  | | | | | 
% 184.61/29.27  | | | | |   (27)  all_56_5 = e0 & op(e2, e1) = e0
% 184.61/29.27  | | | | | 
% 184.61/29.27  | | | | | ALPHA: (27) implies:
% 184.61/29.27  | | | | |   (28)  all_56_5 = e0
% 184.61/29.27  | | | | | 
% 184.61/29.27  | | | | | BETA: splitting (20) gives:
% 184.61/29.27  | | | | | 
% 184.61/29.27  | | | | | Case 1:
% 184.61/29.27  | | | | | | 
% 184.61/29.27  | | | | | |   (29)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2,
% 184.61/29.27  | | | | | |             e1) = e1)
% 184.61/29.27  | | | | | | 
% 184.61/29.27  | | | | | | BETA: splitting (29) gives:
% 184.61/29.27  | | | | | | 
% 184.61/29.27  | | | | | | Case 1:
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | |   (30)  all_56_4 = e1 & op(e3, e1) = e1
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | ALPHA: (30) implies:
% 184.61/29.27  | | | | | | |   (31)  all_56_4 = e1
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | REF_CLOSE: (18), (23), (31) are inconsistent by sub-proof #877.
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | Case 2:
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | |   (32)  all_56_5 = e1 & op(e2, e1) = e1
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | ALPHA: (32) implies:
% 184.61/29.27  | | | | | | |   (33)  all_56_5 = e1
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | COMBINE_EQS: (28), (33) imply:
% 184.61/29.27  | | | | | | |   (34)  e1 = e0
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | REDUCE: (3), (34) imply:
% 184.61/29.27  | | | | | | |   (35)  $false
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | CLOSE: (35) is inconsistent.
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | End of split
% 184.61/29.27  | | | | | | 
% 184.61/29.27  | | | | | Case 2:
% 184.61/29.27  | | | | | | 
% 184.61/29.27  | | | | | |   (36)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0,
% 184.61/29.27  | | | | | |             e1) = e1)
% 184.61/29.27  | | | | | | 
% 184.61/29.27  | | | | | | BETA: splitting (36) gives:
% 184.61/29.27  | | | | | | 
% 184.61/29.27  | | | | | | Case 1:
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | |   (37)  all_56_8 = e1 & op(e1, e1) = e1
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | ALPHA: (37) implies:
% 184.61/29.27  | | | | | | |   (38)  op(e1, e1) = e1
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | REF_CLOSE: (2), (9), (11), (38) are inconsistent by sub-proof
% 184.61/29.27  | | | | | | |            #1266.
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | Case 2:
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | |   (39)  all_56_14 = e1 & op(e0, e1) = e1
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | ALPHA: (39) implies:
% 184.61/29.27  | | | | | | |   (40)  all_56_14 = e1
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | REF_CLOSE: (8), (15), (40) are inconsistent by sub-proof #1508.
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | End of split
% 184.61/29.27  | | | | | | 
% 184.61/29.27  | | | | | End of split
% 184.61/29.27  | | | | | 
% 184.61/29.27  | | | | End of split
% 184.61/29.27  | | | | 
% 184.61/29.27  | | | Case 2:
% 184.61/29.27  | | | | 
% 184.61/29.27  | | | |   (41)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1)
% 184.61/29.27  | | | |           = e0)
% 184.61/29.27  | | | | 
% 184.61/29.27  | | | | REF_CLOSE: (1), (4), (5), (9), (17), (19), (41) are inconsistent by
% 184.61/29.27  | | | |            sub-proof #872.
% 184.61/29.27  | | | | 
% 184.61/29.27  | | | End of split
% 184.61/29.27  | | | 
% 184.61/29.27  | | Case 2:
% 184.61/29.27  | | | 
% 184.61/29.27  | | |   (42)  all_56_5 = e2 & op(e2, e1) = e2
% 184.61/29.27  | | | 
% 184.61/29.27  | | | ALPHA: (42) implies:
% 184.61/29.27  | | |   (43)  op(e2, e1) = e2
% 184.61/29.27  | | | 
% 184.61/29.27  | | | REF_CLOSE: (6), (9), (12), (13), (43) are inconsistent by sub-proof #1327.
% 184.61/29.27  | | | 
% 184.61/29.27  | | End of split
% 184.61/29.27  | | 
% 184.61/29.27  | Case 2:
% 184.61/29.27  | | 
% 184.61/29.27  | |   (44)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 184.61/29.27  | |           e2)
% 184.61/29.27  | | 
% 184.61/29.27  | | BETA: splitting (44) gives:
% 184.61/29.27  | | 
% 184.61/29.27  | | Case 1:
% 184.61/29.27  | | | 
% 184.61/29.27  | | |   (45)  all_56_8 = e2 & op(e1, e1) = e2
% 184.61/29.27  | | | 
% 184.61/29.27  | | | ALPHA: (45) implies:
% 184.61/29.27  | | |   (46)  op(e1, e1) = e2
% 184.61/29.27  | | | 
% 184.61/29.27  | | | REF_CLOSE: (1), (9), (14), (46) are inconsistent by sub-proof #1164.
% 184.61/29.27  | | | 
% 184.61/29.27  | | Case 2:
% 184.61/29.27  | | | 
% 184.61/29.27  | | |   (47)  all_56_14 = e2 & op(e0, e1) = e2
% 184.61/29.27  | | | 
% 184.61/29.27  | | | REF_CLOSE: (14), (15), (47) are inconsistent by sub-proof #1366.
% 184.61/29.27  | | | 
% 184.61/29.27  | | End of split
% 184.61/29.27  | | 
% 184.61/29.27  | End of split
% 184.61/29.27  | 
% 184.61/29.27  End of proof
% 184.61/29.27  
% 184.61/29.27  Sub-proof #239 shows that the following formulas are inconsistent:
% 184.61/29.27  ----------------------------------------------------------------
% 184.61/29.27    (1)  op(e0, e0) = all_6_2
% 184.61/29.27    (2)   ~ (all_52_8 = e3)
% 184.61/29.27    (3)   ~ (all_4_2 = e0)
% 184.61/29.27    (4)  op(e1, e1) = e3
% 184.61/29.27    (5)   ~ (e3 = e0)
% 184.61/29.27    (6)  op(e2, e1) = all_52_9
% 184.61/29.27    (7)  op(e2, e2) = e3
% 184.61/29.27    (8)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2) |
% 184.61/29.27         (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) = e2) |
% 184.61/29.27         ( ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 & $i(all_57_23))
% 184.61/29.27    (9)  op(e3, e0) = all_52_12
% 184.61/29.27    (10)   ~ (all_6_2 = e2)
% 184.61/29.27    (11)  op(e2, e3) = all_52_1
% 184.61/29.27    (12)   ~ (all_52_1 = e3)
% 184.61/29.27    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.27            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.27    (14)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 184.61/29.27          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 184.61/29.27            e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 & $i(all_57_24))
% 184.61/29.27    (15)  all_57_31 = all_6_2
% 184.61/29.27    (16)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 184.61/29.27              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 184.61/29.27            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.61/29.27              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.61/29.27            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 184.61/29.27            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.61/29.27            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 184.61/29.27            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.61/29.27            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 184.61/29.27            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.61/29.27              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 184.61/29.27              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.61/29.27            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.61/29.27          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 184.61/29.27              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 184.61/29.27            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.61/29.27              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.61/29.27            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 184.61/29.27            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.61/29.27            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 184.61/29.27            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.61/29.27            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.61/29.27              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.61/29.27              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 184.61/29.27            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 184.61/29.27            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.61/29.27            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 184.61/29.27            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 184.61/29.27            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 184.61/29.27            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 184.61/29.27            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.61/29.27            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 184.61/29.27            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 184.61/29.27            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 184.61/29.27              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 184.61/29.27            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 184.61/29.27            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 184.61/29.27              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 184.61/29.27            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 184.61/29.27            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 184.61/29.27            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 184.61/29.27            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.61/29.27            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 184.61/29.27              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 184.61/29.27              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 184.61/29.27            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 184.61/29.27            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 184.61/29.27              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 184.61/29.27            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 184.61/29.27            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.61/29.27            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 184.61/29.27            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.61/29.27            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 184.61/29.27                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 184.61/29.27                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 184.61/29.27                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.61/29.27                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 184.61/29.27                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.61/29.27                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.61/29.27                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.61/29.27                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.61/29.27                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.61/29.27                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.61/29.27                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 184.61/29.27                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.61/29.27                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.61/29.27                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.61/29.27                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 184.61/29.27                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 184.61/29.27    (17)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 184.61/29.27          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 184.61/29.27            e0) | ( ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 & $i(all_57_21))
% 184.61/29.27    (18)  op(e2, e1) = all_57_20
% 184.61/29.27    (19)   ~ (all_52_9 = e2)
% 184.61/29.27    (20)   ~ (e3 = e2)
% 184.61/29.27    (21)   ~ (all_52_12 = all_6_2)
% 184.61/29.27    (22)  op(e3, e1) = all_52_8
% 184.61/29.27    (23)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 184.61/29.27          | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 184.61/29.27            e2) | ( ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 & $i(all_57_29))
% 184.61/29.27    (24)  op(e3, e3) = all_4_2
% 184.61/29.27    (25)  op(e1, e2) = all_52_6
% 184.61/29.27    (26)  all_57_30 = e3
% 184.61/29.27    (27)  op(e3, e3) = e3
% 184.61/29.27    (28)  op(e0, e2) = all_57_26
% 184.61/29.27    (29)  all_57_27 = all_52_11
% 184.61/29.27    (30)   ~ (all_52_11 = e0)
% 184.61/29.27    (31)  op(e0, e2) = all_52_7
% 184.61/29.27    (32)   ~ (all_57_26 = e0)
% 184.61/29.27    (33)  all_56_15 = e3 & op(e0, e0) = e3
% 184.61/29.27  
% 184.61/29.27  Begin of proof
% 184.61/29.27  | 
% 184.61/29.27  | ALPHA: (33) implies:
% 184.61/29.27  |   (34)  op(e0, e0) = e3
% 184.61/29.27  | 
% 184.61/29.27  | BETA: splitting (8) gives:
% 184.61/29.27  | 
% 184.61/29.27  | Case 1:
% 184.61/29.27  | | 
% 184.61/29.27  | |   (35)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) =
% 184.61/29.27  | |           e2)
% 184.61/29.27  | | 
% 184.61/29.27  | | REF_CLOSE: (7), (13), (20), (27), (35) are inconsistent by sub-proof #283.
% 184.61/29.27  | | 
% 184.61/29.27  | Case 2:
% 184.61/29.27  | | 
% 184.61/29.27  | |   (36)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 184.61/29.27  | |           e2) | ( ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 184.61/29.27  | |           $i(all_57_23))
% 184.61/29.27  | | 
% 184.61/29.27  | | BETA: splitting (36) gives:
% 184.61/29.27  | | 
% 184.61/29.27  | | Case 1:
% 184.61/29.27  | | | 
% 184.61/29.27  | | |   (37)  all_57_30 = e2 & op(e1, e1) = e2
% 184.61/29.27  | | | 
% 184.61/29.27  | | | ALPHA: (37) implies:
% 184.61/29.27  | | |   (38)  op(e1, e1) = e2
% 184.61/29.27  | | | 
% 184.61/29.27  | | | REF_CLOSE: (4), (13), (20), (38) are inconsistent by sub-proof #1164.
% 184.61/29.27  | | | 
% 184.61/29.27  | | Case 2:
% 184.61/29.27  | | | 
% 184.61/29.27  | | |   (39)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) & op(e1,
% 184.61/29.27  | | |             e2) = all_57_23 & $i(all_57_23))
% 184.61/29.27  | | | 
% 184.61/29.27  | | | BETA: splitting (39) gives:
% 184.61/29.27  | | | 
% 184.61/29.27  | | | Case 1:
% 184.61/29.27  | | | | 
% 184.61/29.27  | | | |   (40)  all_57_31 = e2 & op(e0, e0) = e2
% 184.61/29.27  | | | | 
% 184.61/29.27  | | | | ALPHA: (40) implies:
% 184.61/29.27  | | | |   (41)  op(e0, e0) = e2
% 184.61/29.27  | | | | 
% 184.61/29.27  | | | | REF_CLOSE: (1), (10), (13), (41) are inconsistent by sub-proof #1511.
% 184.61/29.27  | | | | 
% 184.61/29.27  | | | Case 2:
% 184.61/29.27  | | | | 
% 184.61/29.27  | | | |   (42)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 & $i(all_57_23)
% 184.61/29.27  | | | | 
% 184.61/29.27  | | | | ALPHA: (42) implies:
% 184.61/29.27  | | | |   (43)   ~ (all_57_23 = e1)
% 184.61/29.27  | | | |   (44)  op(e1, e2) = all_57_23
% 184.61/29.27  | | | | 
% 184.61/29.27  | | | | BETA: splitting (23) gives:
% 184.61/29.27  | | | | 
% 184.61/29.27  | | | | Case 1:
% 184.61/29.27  | | | | | 
% 184.61/29.27  | | | | |   (45)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2,
% 184.61/29.27  | | | | |             e2) = e2)
% 184.61/29.27  | | | | | 
% 184.61/29.27  | | | | | REF_CLOSE: (7), (13), (20), (27), (45) are inconsistent by sub-proof
% 184.61/29.27  | | | | |            #283.
% 184.61/29.27  | | | | | 
% 184.61/29.27  | | | | Case 2:
% 184.61/29.27  | | | | | 
% 184.61/29.27  | | | | |   (46)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0,
% 184.61/29.27  | | | | |             e0) = e2) | ( ~ (all_57_29 = e2) & op(e2, e2) = all_57_29
% 184.61/29.27  | | | | |           & $i(all_57_29))
% 184.61/29.27  | | | | | 
% 184.61/29.27  | | | | | BETA: splitting (46) gives:
% 184.61/29.27  | | | | | 
% 184.61/29.27  | | | | | Case 1:
% 184.61/29.27  | | | | | | 
% 184.61/29.27  | | | | | |   (47)  all_57_30 = e2 & op(e1, e1) = e2
% 184.61/29.27  | | | | | | 
% 184.61/29.27  | | | | | | ALPHA: (47) implies:
% 184.61/29.27  | | | | | |   (48)  op(e1, e1) = e2
% 184.61/29.27  | | | | | | 
% 184.61/29.27  | | | | | | REF_CLOSE: (4), (13), (20), (48) are inconsistent by sub-proof
% 184.61/29.27  | | | | | |            #1164.
% 184.61/29.27  | | | | | | 
% 184.61/29.27  | | | | | Case 2:
% 184.61/29.27  | | | | | | 
% 184.61/29.27  | | | | | |   (49)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 184.61/29.27  | | | | | |           op(e2, e2) = all_57_29 & $i(all_57_29))
% 184.61/29.27  | | | | | | 
% 184.61/29.27  | | | | | | BETA: splitting (49) gives:
% 184.61/29.27  | | | | | | 
% 184.61/29.27  | | | | | | Case 1:
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | |   (50)  all_57_31 = e2 & op(e0, e0) = e2
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | ALPHA: (50) implies:
% 184.61/29.27  | | | | | | |   (51)  op(e0, e0) = e2
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | REF_CLOSE: (1), (10), (13), (51) are inconsistent by sub-proof
% 184.61/29.27  | | | | | | |            #1511.
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | Case 2:
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | |   (52)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 184.61/29.27  | | | | | | |         $i(all_57_29)
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | ALPHA: (52) implies:
% 184.61/29.27  | | | | | | |   (53)  op(e2, e2) = all_57_29
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | GROUND_INST: instantiating (13) with all_6_2, e3, e0, e0,
% 184.61/29.27  | | | | | | |              simplifying with (1), (34) gives:
% 184.61/29.27  | | | | | | |   (54)  all_6_2 = e3
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | GROUND_INST: instantiating (13) with all_52_7, all_57_26, e2, e0,
% 184.61/29.27  | | | | | | |              simplifying with (28), (31) gives:
% 184.61/29.27  | | | | | | |   (55)  all_57_26 = all_52_7
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | GROUND_INST: instantiating (13) with all_52_6, all_57_23, e2, e1,
% 184.61/29.27  | | | | | | |              simplifying with (25), (44) gives:
% 184.61/29.27  | | | | | | |   (56)  all_57_23 = all_52_6
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | GROUND_INST: instantiating (13) with e3, all_57_29, e2, e2,
% 184.61/29.27  | | | | | | |              simplifying with (7), (53) gives:
% 184.61/29.27  | | | | | | |   (57)  all_57_29 = e3
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | COMBINE_EQS: (15), (54) imply:
% 184.61/29.27  | | | | | | |   (58)  all_57_31 = e3
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | REDUCE: (43), (56) imply:
% 184.61/29.27  | | | | | | |   (59)   ~ (all_52_6 = e1)
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | REDUCE: (32), (55) imply:
% 184.61/29.27  | | | | | | |   (60)   ~ (all_52_7 = e0)
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | REDUCE: (21), (54) imply:
% 184.61/29.27  | | | | | | |   (61)   ~ (all_52_12 = e3)
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | BETA: splitting (14) gives:
% 184.61/29.27  | | | | | | | 
% 184.61/29.27  | | | | | | | Case 1:
% 184.61/29.27  | | | | | | | | 
% 184.61/29.27  | | | | | | | |   (62)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 &
% 184.61/29.27  | | | | | | | |           op(e2, e2) = e0)
% 184.61/29.27  | | | | | | | | 
% 184.61/29.27  | | | | | | | | REF_CLOSE: (3), (5), (7), (13), (24), (62) are inconsistent by
% 184.61/29.27  | | | | | | | |            sub-proof #285.
% 184.61/29.27  | | | | | | | | 
% 184.61/29.27  | | | | | | | Case 2:
% 184.61/29.27  | | | | | | | | 
% 184.61/29.27  | | | | | | | |   (63)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 &
% 184.61/29.27  | | | | | | | |           op(e0, e0) = e0) | ( ~ (all_57_24 = e1) & op(e1, e0) =
% 184.61/29.27  | | | | | | | |           all_57_24 & $i(all_57_24))
% 184.61/29.27  | | | | | | | | 
% 184.61/29.27  | | | | | | | | BETA: splitting (63) gives:
% 184.61/29.27  | | | | | | | | 
% 184.61/29.27  | | | | | | | | Case 1:
% 184.61/29.27  | | | | | | | | | 
% 184.61/29.27  | | | | | | | | |   (64)  all_57_30 = e0 & op(e1, e1) = e0
% 184.61/29.27  | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | ALPHA: (64) implies:
% 184.61/29.27  | | | | | | | | |   (65)  op(e1, e1) = e0
% 184.61/29.27  | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | REF_CLOSE: (4), (5), (13), (65) are inconsistent by sub-proof
% 184.61/29.27  | | | | | | | | |            #1252.
% 184.61/29.27  | | | | | | | | | 
% 184.61/29.27  | | | | | | | | Case 2:
% 184.61/29.27  | | | | | | | | | 
% 184.61/29.27  | | | | | | | | |   (66)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~ (all_57_24 =
% 184.61/29.27  | | | | | | | | |             e1) & op(e1, e0) = all_57_24 & $i(all_57_24))
% 184.61/29.27  | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | BETA: splitting (66) gives:
% 184.61/29.27  | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | Case 1:
% 184.61/29.27  | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | |   (67)  all_57_31 = e0 & op(e0, e0) = e0
% 184.61/29.27  | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | ALPHA: (67) implies:
% 184.61/29.27  | | | | | | | | | |   (68)  op(e0, e0) = e0
% 184.61/29.27  | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | REF_CLOSE: (5), (13), (34), (68) are inconsistent by
% 184.61/29.27  | | | | | | | | | |            sub-proof #1540.
% 184.61/29.27  | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | Case 2:
% 184.61/29.27  | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | |   (69)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 184.61/29.27  | | | | | | | | | |         $i(all_57_24)
% 184.61/29.27  | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | ALPHA: (69) implies:
% 184.61/29.27  | | | | | | | | | |   (70)   ~ (all_57_24 = e1)
% 184.61/29.27  | | | | | | | | | |   (71)  op(e1, e0) = all_57_24
% 184.61/29.27  | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | BETA: splitting (17) gives:
% 184.61/29.27  | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | Case 1:
% 184.61/29.27  | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | |   (72)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 184.61/29.27  | | | | | | | | | | |           e0 & op(e2, e2) = e0)
% 184.61/29.27  | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | REF_CLOSE: (3), (5), (7), (13), (24), (72) are inconsistent
% 184.61/29.27  | | | | | | | | | | |            by sub-proof #285.
% 184.61/29.27  | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | Case 2:
% 184.61/29.27  | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | |   (73)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 184.61/29.27  | | | | | | | | | | |           e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 184.61/29.27  | | | | | | | | | | |           op(e2, e0) = all_57_21 & $i(all_57_21))
% 184.61/29.27  | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | BETA: splitting (73) gives:
% 184.61/29.27  | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | Case 1:
% 184.61/29.27  | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | |   (74)  all_57_30 = e0 & op(e1, e1) = e0
% 184.61/29.27  | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | | ALPHA: (74) implies:
% 184.61/29.27  | | | | | | | | | | | |   (75)  op(e1, e1) = e0
% 184.61/29.27  | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | | REF_CLOSE: (4), (5), (13), (75) are inconsistent by sub-proof
% 184.61/29.27  | | | | | | | | | | | |            #1252.
% 184.61/29.27  | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | Case 2:
% 184.61/29.27  | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | |   (76)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 184.61/29.27  | | | | | | | | | | | |           (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 184.61/29.27  | | | | | | | | | | | |           $i(all_57_21))
% 184.61/29.27  | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | | BETA: splitting (76) gives:
% 184.61/29.27  | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | | Case 1:
% 184.61/29.27  | | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | | |   (77)  all_57_31 = e0 & op(e0, e0) = e0
% 184.61/29.27  | | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | | | ALPHA: (77) implies:
% 184.61/29.27  | | | | | | | | | | | | |   (78)  op(e0, e0) = e0
% 184.61/29.27  | | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | | | REF_CLOSE: (5), (13), (34), (78) are inconsistent by
% 184.61/29.27  | | | | | | | | | | | | |            sub-proof #1540.
% 184.61/29.27  | | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | | Case 2:
% 184.61/29.27  | | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | | |   (79)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 184.61/29.27  | | | | | | | | | | | | |         $i(all_57_21)
% 184.61/29.27  | | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | | | ALPHA: (79) implies:
% 184.61/29.27  | | | | | | | | | | | | |   (80)   ~ (all_57_21 = e2)
% 184.61/29.27  | | | | | | | | | | | | |   (81)  op(e2, e0) = all_57_21
% 184.61/29.27  | | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | | | BETA: splitting (16) gives:
% 184.61/29.27  | | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | | | Case 1:
% 184.61/29.27  | | | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | | | |   (82)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.61/29.27  | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 184.61/29.27  | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.61/29.27  | | | | | | | | | | | | | |           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.61/29.27  | | | | | | | | | | | | | |           = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 184.61/29.27  | | | | | | | | | | | | | |           op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.61/29.27  | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 184.61/29.27  | | | | | | | | | | | | | |           & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 184.61/29.27  | | | | | | | | | | | | | |           & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 184.61/29.27  | | | | | | | | | | | | | |           $i(all_57_28)) | (all_57_2 = all_57_28 &
% 184.61/29.27  | | | | | | | | | | | | | |           all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 184.61/29.27  | | | | | | | | | | | | | |             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 184.61/29.27  | | | | | | | | | | | | | |           &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 184.61/29.27  | | | | | | | | | | | | | |           all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.61/29.27  | | | | | | | | | | | | | |             all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 184.61/29.27  | | | | | | | | | | | | | |           & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 184.61/29.27  | | | | | | | | | | | | | |           op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.61/29.27  | | | | | | | | | | | | | |           $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.61/29.27  | | | | | | | | | | | | | |           $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.61/29.27  | | | | | | | | | | | | | |         (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.61/29.27  | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 184.61/29.27  | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.61/29.27  | | | | | | | | | | | | | |           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 184.61/29.27  | | | | | | | | | | | | | |           = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 184.61/29.27  | | | | | | | | | | | | | |           op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 184.61/29.27  | | | | | | | | | | | | | |           & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 184.61/29.27  | | | | | | | | | | | | | |           op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.61/29.27  | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.61/29.27  | | | | | | | | | | | | | |           $i(all_57_28)) | (all_57_4 = all_57_29 &
% 184.61/29.27  | | | | | | | | | | | | | |           all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 184.61/29.27  | | | | | | | | | | | | | |             e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 184.61/29.27  | | | | | | | | | | | | | |           &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.61/29.27  | | | | | | | | | | | | | |             all_57_20) = all_57_6 & op(e2, all_57_21) =
% 184.61/29.27  | | | | | | | | | | | | | |           all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.61/29.27  | | | | | | | | | | | | | |             e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 184.61/29.27  | | | | | | | | | | | | | |           = all_57_20 & op(e2, e0) = all_57_21 &
% 184.61/29.27  | | | | | | | | | | | | | |           $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 184.61/29.27  | | | | | | | | | | | | | |           $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 184.61/29.27  | | | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 184.61/29.27  | | | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | | | | Case 1:
% 184.61/29.27  | | | | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | | | | |   (83)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.61/29.27  | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 184.61/29.27  | | | | | | | | | | | | | | |            ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.61/29.27  | | | | | | | | | | | | | | |           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.61/29.27  | | | | | | | | | | | | | | |           = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 184.61/29.27  | | | | | | | | | | | | | | |           op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.61/29.27  | | | | | | | | | | | | | | |           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 184.61/29.27  | | | | | | | | | | | | | | |           & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 184.61/29.27  | | | | | | | | | | | | | | |           & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 184.61/29.27  | | | | | | | | | | | | | | |           $i(all_57_28)) | (all_57_2 = all_57_28 &
% 184.61/29.27  | | | | | | | | | | | | | | |           all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 184.61/29.27  | | | | | | | | | | | | | | |             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 184.61/29.27  | | | | | | | | | | | | | | |           &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 184.61/29.27  | | | | | | | | | | | | | | |           all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.61/29.27  | | | | | | | | | | | | | | |             all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 184.61/29.27  | | | | | | | | | | | | | | |           & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 184.61/29.27  | | | | | | | | | | | | | | |           op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.61/29.27  | | | | | | | | | | | | | | |           $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.61/29.27  | | | | | | | | | | | | | | |           $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 184.61/29.27  | | | | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | | | | | REF_CLOSE: (2), (11), (12), (13), (22), (83) are inconsistent
% 184.61/29.27  | | | | | | | | | | | | | | |            by sub-proof #280.
% 184.61/29.27  | | | | | | | | | | | | | | | 
% 184.61/29.27  | | | | | | | | | | | | | | Case 2:
% 184.61/29.27  | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | |   (84)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.61/29.28  | | | | | | | | | | | | | | |           = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 184.61/29.28  | | | | | | | | | | | | | | |            ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.61/29.28  | | | | | | | | | | | | | | |           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 184.61/29.28  | | | | | | | | | | | | | | |           = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 184.61/29.28  | | | | | | | | | | | | | | |           op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 184.61/29.28  | | | | | | | | | | | | | | |           & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 184.61/29.28  | | | | | | | | | | | | | | |           op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.61/29.28  | | | | | | | | | | | | | | |           $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.61/29.28  | | | | | | | | | | | | | | |           $i(all_57_28)) | (all_57_4 = all_57_29 &
% 184.61/29.28  | | | | | | | | | | | | | | |           all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 184.61/29.28  | | | | | | | | | | | | | | |             e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 184.61/29.28  | | | | | | | | | | | | | | |           &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.61/29.28  | | | | | | | | | | | | | | |             all_57_20) = all_57_6 & op(e2, all_57_21) =
% 184.61/29.28  | | | | | | | | | | | | | | |           all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.61/29.28  | | | | | | | | | | | | | | |             e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 184.61/29.28  | | | | | | | | | | | | | | |           = all_57_20 & op(e2, e0) = all_57_21 &
% 184.61/29.28  | | | | | | | | | | | | | | |           $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 184.61/29.28  | | | | | | | | | | | | | | |           $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 184.61/29.28  | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | BETA: splitting (84) gives:
% 184.61/29.28  | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | Case 1:
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | |   (85)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.61/29.28  | | | | | | | | | | | | | | | |         = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 184.61/29.28  | | | | | | | | | | | | | | | |         ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 184.61/29.28  | | | | | | | | | | | | | | | |           all_57_16) = all_57_1 & op(e3, all_57_17) =
% 184.61/29.28  | | | | | | | | | | | | | | | |         all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.61/29.28  | | | | | | | | | | | | | | | |           e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 184.61/29.28  | | | | | | | | | | | | | | | |         op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 184.61/29.28  | | | | | | | | | | | | | | | |           e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.61/29.28  | | | | | | | | | | | | | | | |         $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.61/29.28  | | | | | | | | | | | | | | | |         $i(all_57_28)
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | ALPHA: (85) implies:
% 184.61/29.28  | | | | | | | | | | | | | | | |   (86)  op(e3, e0) = e3
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13), (61), (86) are inconsistent by
% 184.61/29.28  | | | | | | | | | | | | | | | |            sub-proof #1615.
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | Case 2:
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | |   (87)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 184.61/29.28  | | | | | | | | | | | | | | | |         = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 184.61/29.28  | | | | | | | | | | | | | | | |         ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 184.61/29.28  | | | | | | | | | | | | | | | |           e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.61/29.28  | | | | | | | | | | | | | | | |           all_57_21) = all_57_7 & op(e2, all_57_29) =
% 184.61/29.28  | | | | | | | | | | | | | | | |         all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 184.61/29.28  | | | | | | | | | | | | | | | |         all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 184.61/29.28  | | | | | | | | | | | | | | | |         all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 184.61/29.28  | | | | | | | | | | | | | | | |         $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.61/29.28  | | | | | | | | | | | | | | | |         $i(all_57_29)
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | ALPHA: (87) implies:
% 184.61/29.28  | | | | | | | | | | | | | | | |   (88)   ~ (all_57_29 = e3)
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | REDUCE: (57), (88) imply:
% 184.61/29.28  | | | | | | | | | | | | | | | |   (89)  $false
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | CLOSE: (89) is inconsistent.
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | End of split
% 184.61/29.28  | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | End of split
% 184.61/29.28  | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | Case 2:
% 184.61/29.28  | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | |   (90)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.61/29.28  | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 184.61/29.28  | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.61/29.28  | | | | | | | | | | | | | |           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 184.61/29.28  | | | | | | | | | | | | | |           = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.61/29.28  | | | | | | | | | | | | | |           op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 184.61/29.28  | | | | | | | | | | | | | |           & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.61/29.28  | | | | | | | | | | | | | |           op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.61/29.28  | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.61/29.28  | | | | | | | | | | | | | |           $i(all_57_29)) | (all_57_7 = all_57_29 &
% 184.61/29.28  | | | | | | | | | | | | | |           all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 184.61/29.28  | | | | | | | | | | | | | |             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 184.61/29.28  | | | | | | | | | | | | | |           &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.61/29.28  | | | | | | | | | | | | | |           all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.61/29.28  | | | | | | | | | | | | | |             all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 184.61/29.28  | | | | | | | | | | | | | |           & op(e2, e2) = all_57_29 & op(e2, e1) =
% 184.61/29.28  | | | | | | | | | | | | | |           all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.61/29.28  | | | | | | | | | | | | | |           $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.61/29.28  | | | | | | | | | | | | | |           $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 184.61/29.28  | | | | | | | | | | | | | |         (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.61/29.28  | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 184.61/29.28  | | | | | | | | | | | | | |           &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.61/29.28  | | | | | | | | | | | | | |           op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.61/29.28  | | | | | | | | | | | | | |           op(e1, all_57_24) = all_57_11 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | |             all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 184.61/29.28  | | | | | | | | | | | | | |           op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.61/29.28  | | | | | | | | | | | | | |           & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 184.61/29.28  | | | | | | | | | | | | | |           $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.61/29.28  | | | | | | | | | | | | | |           $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 184.61/29.28  | | | | | | | | | | | | | |           all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.61/29.28  | | | | | | | | | | | | | |           (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.61/29.28  | | | | | | | | | | | | | |           (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.61/29.28  | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.61/29.28  | | | | | | | | | | | | | |           op(e1, all_57_24) = all_57_11 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | |             all_57_30) = all_57_10 & op(e1, e3) =
% 184.61/29.28  | | | | | | | | | | | | | |           all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.61/29.28  | | | | | | | | | | | | | |           all_57_30 & op(e1, e0) = all_57_24 &
% 184.61/29.28  | | | | | | | | | | | | | |           $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.61/29.28  | | | | | | | | | | | | | |           $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.61/29.28  | | | | | | | | | | | | | |         (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.61/29.28  | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.61/29.28  | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.61/29.28  | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.61/29.28  | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 184.61/29.28  | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.61/29.28  | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.61/29.28  | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 184.61/29.28  | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.61/29.28  | | | | | | | | | | | | | |               & $i(all_57_22) & $i(all_57_23) &
% 184.61/29.28  | | | | | | | | | | | | | |               $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.61/29.28  | | | | | | | | | | | | | |               (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.61/29.28  | | | | | | | | | | | | | |               (all_57_15 = e0) & op(e0, all_57_25) =
% 184.61/29.28  | | | | | | | | | | | | | |               all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.61/29.28  | | | | | | | | | | | | | |               op(e0, all_57_27) = all_57_14 & op(e0,
% 184.61/29.28  | | | | | | | | | | | | | |                 all_57_31) = all_57_15 & op(e0, e3) =
% 184.61/29.28  | | | | | | | | | | | | | |               all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.61/29.28  | | | | | | | | | | | | | |                 e0) = all_57_31 & $i(all_57_12) &
% 184.61/29.28  | | | | | | | | | | | | | |               $i(all_57_13) & $i(all_57_14) &
% 184.61/29.28  | | | | | | | | | | | | | |               $i(all_57_15) & $i(all_57_25) &
% 184.61/29.28  | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.61/29.28  | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.61/29.28  | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.61/29.28  | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 184.61/29.28  | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | |                     e0) = e0)))))
% 184.61/29.28  | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | BETA: splitting (90) gives:
% 184.61/29.28  | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | Case 1:
% 184.61/29.28  | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | |   (91)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.61/29.28  | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 184.61/29.28  | | | | | | | | | | | | | | |            ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.61/29.28  | | | | | | | | | | | | | | |           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 184.61/29.28  | | | | | | | | | | | | | | |           = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.61/29.28  | | | | | | | | | | | | | | |           op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 184.61/29.28  | | | | | | | | | | | | | | |           & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.61/29.28  | | | | | | | | | | | | | | |           op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.61/29.28  | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.61/29.28  | | | | | | | | | | | | | | |           $i(all_57_29)) | (all_57_7 = all_57_29 &
% 184.61/29.28  | | | | | | | | | | | | | | |           all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 184.61/29.28  | | | | | | | | | | | | | | |             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 184.61/29.28  | | | | | | | | | | | | | | |           &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.61/29.28  | | | | | | | | | | | | | | |           all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.61/29.28  | | | | | | | | | | | | | | |             all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 184.61/29.28  | | | | | | | | | | | | | | |           & op(e2, e2) = all_57_29 & op(e2, e1) =
% 184.61/29.28  | | | | | | | | | | | | | | |           all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.61/29.28  | | | | | | | | | | | | | | |           $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.61/29.28  | | | | | | | | | | | | | | |           $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 184.61/29.28  | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 184.61/29.28  | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | Case 1:
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | |   (92)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.61/29.28  | | | | | | | | | | | | | | | |         = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 184.61/29.28  | | | | | | | | | | | | | | | |         ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 184.61/29.28  | | | | | | | | | | | | | | | |           all_57_19) = all_57_4 & op(e2, all_57_21) =
% 184.61/29.28  | | | | | | | | | | | | | | | |         all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.61/29.28  | | | | | | | | | | | | | | | |           e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 184.61/29.28  | | | | | | | | | | | | | | | |         op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | | | |           e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.61/29.28  | | | | | | | | | | | | | | | |         $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.61/29.28  | | | | | | | | | | | | | | | |         $i(all_57_29)
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | ALPHA: (92) implies:
% 184.61/29.28  | | | | | | | | | | | | | | | |   (93)  op(e2, e1) = e2
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (18), (19), (93) are inconsistent by
% 184.61/29.28  | | | | | | | | | | | | | | | |            sub-proof #1327.
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | Case 2:
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | |   (94)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 184.61/29.28  | | | | | | | | | | | | | | | |         = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 184.61/29.28  | | | | | | | | | | | | | | | |         ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 184.61/29.28  | | | | | | | | | | | | | | | |           all_57_19) = all_57_4 & op(e2, all_57_20) =
% 184.61/29.28  | | | | | | | | | | | | | | | |         all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.61/29.28  | | | | | | | | | | | | | | | |           e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 184.61/29.28  | | | | | | | | | | | | | | | |         op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 184.61/29.28  | | | | | | | | | | | | | | | |           e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.61/29.28  | | | | | | | | | | | | | | | |         $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 184.61/29.28  | | | | | | | | | | | | | | | |         $i(all_57_29)
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | ALPHA: (94) implies:
% 184.61/29.28  | | | | | | | | | | | | | | | |   (95)  op(e2, e0) = e2
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | REF_CLOSE: (13), (80), (81), (95) are inconsistent by
% 184.61/29.28  | | | | | | | | | | | | | | | |            sub-proof #1388.
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | End of split
% 184.61/29.28  | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | Case 2:
% 184.61/29.28  | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | |   (96)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.61/29.28  | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 184.61/29.28  | | | | | | | | | | | | | | |           &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.61/29.28  | | | | | | | | | | | | | | |           op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.61/29.28  | | | | | | | | | | | | | | |           op(e1, all_57_24) = all_57_11 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | | |             all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 184.61/29.28  | | | | | | | | | | | | | | |           op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.61/29.28  | | | | | | | | | | | | | | |           & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 184.61/29.28  | | | | | | | | | | | | | | |           $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.61/29.28  | | | | | | | | | | | | | | |           $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 184.61/29.28  | | | | | | | | | | | | | | |           all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.61/29.28  | | | | | | | | | | | | | | |           (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.61/29.28  | | | | | | | | | | | | | | |           (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.61/29.28  | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.61/29.28  | | | | | | | | | | | | | | |           op(e1, all_57_24) = all_57_11 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | | |             all_57_30) = all_57_10 & op(e1, e3) =
% 184.61/29.28  | | | | | | | | | | | | | | |           all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.61/29.28  | | | | | | | | | | | | | | |           all_57_30 & op(e1, e0) = all_57_24 &
% 184.61/29.28  | | | | | | | | | | | | | | |           $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.61/29.28  | | | | | | | | | | | | | | |           $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.61/29.28  | | | | | | | | | | | | | | |         (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.61/29.28  | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.61/29.28  | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.61/29.28  | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.61/29.28  | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 184.61/29.28  | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.61/29.28  | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.61/29.28  | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 184.61/29.28  | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.61/29.28  | | | | | | | | | | | | | | |               & $i(all_57_22) & $i(all_57_23) &
% 184.61/29.28  | | | | | | | | | | | | | | |               $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.61/29.28  | | | | | | | | | | | | | | |               (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.61/29.28  | | | | | | | | | | | | | | |               (all_57_15 = e0) & op(e0, all_57_25) =
% 184.61/29.28  | | | | | | | | | | | | | | |               all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.61/29.28  | | | | | | | | | | | | | | |               op(e0, all_57_27) = all_57_14 & op(e0,
% 184.61/29.28  | | | | | | | | | | | | | | |                 all_57_31) = all_57_15 & op(e0, e3) =
% 184.61/29.28  | | | | | | | | | | | | | | |               all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.61/29.28  | | | | | | | | | | | | | | |                 e0) = all_57_31 & $i(all_57_12) &
% 184.61/29.28  | | | | | | | | | | | | | | |               $i(all_57_13) & $i(all_57_14) &
% 184.61/29.28  | | | | | | | | | | | | | | |               $i(all_57_15) & $i(all_57_25) &
% 184.61/29.28  | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.61/29.28  | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.61/29.28  | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.61/29.28  | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 184.61/29.28  | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | | |                     e0) = e0)))))
% 184.61/29.28  | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 184.61/29.28  | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | Case 1:
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | |   (97)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.61/29.28  | | | | | | | | | | | | | | | |         = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 184.61/29.28  | | | | | | | | | | | | | | | |         ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 184.61/29.28  | | | | | | | | | | | | | | | |           e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | | | |           all_57_24) = all_57_11 & op(e1, all_57_30) =
% 184.61/29.28  | | | | | | | | | | | | | | | |         all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 184.61/29.28  | | | | | | | | | | | | | | | |         all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.61/29.28  | | | | | | | | | | | | | | | |         all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 184.61/29.28  | | | | | | | | | | | | | | | |         $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 184.61/29.28  | | | | | | | | | | | | | | | |         $i(all_57_30)
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | ALPHA: (97) implies:
% 184.61/29.28  | | | | | | | | | | | | | | | |   (98)   ~ (all_57_30 = e3)
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | REDUCE: (26), (98) imply:
% 184.61/29.28  | | | | | | | | | | | | | | | |   (99)  $false
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | CLOSE: (99) is inconsistent.
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | Case 2:
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | |   (100)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 184.61/29.28  | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 184.61/29.28  | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 184.61/29.28  | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.61/29.28  | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.61/29.28  | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.61/29.28  | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.61/29.28  | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.61/29.28  | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.61/29.28  | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.61/29.28  | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.61/29.28  | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.61/29.28  | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.61/29.28  | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.61/29.28  | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.61/29.28  | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.61/29.28  | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.61/29.28  | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.61/29.28  | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.61/29.28  | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.61/29.28  | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.61/29.28  | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.61/29.28  | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.61/29.28  | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.61/29.28  | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.61/29.28  | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.61/29.28  | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.61/29.28  | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.61/29.28  | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.61/29.28  | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.61/29.28  | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.61/29.28  | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.61/29.28  | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.61/29.28  | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | Case 1:
% 184.61/29.28  | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | |   (101)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 184.61/29.28  | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 184.61/29.28  | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.61/29.28  | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 184.61/29.28  | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.61/29.28  | | | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.61/29.28  | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 184.61/29.28  | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.61/29.28  | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 184.61/29.28  | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | ALPHA: (101) implies:
% 184.61/29.28  | | | | | | | | | | | | | | | | |   (102)  op(e1, e2) = e1
% 184.61/29.28  | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (25), (59), (102) are inconsistent by
% 184.61/29.28  | | | | | | | | | | | | | | | | |            sub-proof #834.
% 184.61/29.28  | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | Case 2:
% 184.61/29.28  | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | |   (103)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.61/29.28  | | | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.61/29.28  | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.61/29.28  | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.61/29.28  | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 184.61/29.28  | | | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.61/29.28  | | | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.61/29.28  | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 184.61/29.28  | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 184.61/29.28  | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 184.61/29.28  | | | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 184.61/29.28  | | | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.61/29.28  | | | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 184.61/29.28  | | | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 184.61/29.28  | | | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.61/29.28  | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.61/29.28  | | | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 184.61/29.28  | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 184.61/29.28  | | | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 184.61/29.28  | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.61/29.28  | | | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.61/29.28  | | | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.61/29.28  | | | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 184.61/29.28  | | | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | | | | |                    e0) = e0))))
% 184.61/29.28  | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | ALPHA: (103) implies:
% 184.61/29.28  | | | | | | | | | | | | | | | | |   (104)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.61/29.28  | | | | | | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.61/29.28  | | | | | | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.61/29.28  | | | | | | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 184.61/29.28  | | | | | | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.61/29.28  | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 184.61/29.28  | | | | | | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 184.61/29.28  | | | | | | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.61/29.28  | | | | | | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 184.61/29.28  | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 184.61/29.28  | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 184.61/29.28  | | | | | | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.61/29.28  | | | | | | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 184.61/29.28  | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 184.61/29.28  | | | | | | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 184.61/29.28  | | | | | | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.61/29.28  | | | | | | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 184.61/29.28  | | | | | | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 184.61/29.28  | | | | | | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 184.61/29.28  | | | | | | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 184.61/29.28  | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 184.61/29.28  | | | | | | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 184.61/29.28  | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 184.61/29.28  | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | Case 1:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | |   (105)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 184.61/29.28  | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 184.61/29.28  | | | | | | | | | | | | | | | | | |          ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | | | | | |            all_57_22) = all_57_8 & op(e1, all_57_23) =
% 184.61/29.28  | | | | | | | | | | | | | | | | | |          all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | | | | | |            e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 184.61/29.28  | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.61/29.28  | | | | | | | | | | | | | | | | | |          $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 184.61/29.28  | | | | | | | | | | | | | | | | | |          $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 184.61/29.28  | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | ALPHA: (105) implies:
% 184.61/29.28  | | | | | | | | | | | | | | | | | |   (106)  op(e1, e0) = e1
% 184.61/29.28  | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (70), (71), (106) are inconsistent by
% 184.61/29.28  | | | | | | | | | | | | | | | | | |            sub-proof #1423.
% 184.61/29.28  | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | Case 2:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | |   (107)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 184.61/29.28  | | | | | | | | | | | | | | | | | |          (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 184.61/29.28  | | | | | | | | | | | | | | | | | |            all_57_25) = all_57_12 & op(e0, all_57_26) =
% 184.61/29.28  | | | | | | | | | | | | | | | | | |          all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 184.61/29.28  | | | | | | | | | | | | | | | | | |            all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 184.61/29.28  | | | | | | | | | | | | | | | | | |          & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 184.61/29.28  | | | | | | | | | | | | | | | | | |          & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.61/29.28  | | | | | | | | | | | | | | | | | |          $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 184.61/29.28  | | | | | | | | | | | | | | | | | |          $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 184.61/29.28  | | | | | | | | | | | | | | | | | |              & all_57_25 = e0 & op(e3, e0) = e0) |
% 184.61/29.28  | | | | | | | | | | | | | | | | | |            (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 184.61/29.28  | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 184.61/29.28  | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0))
% 184.61/29.28  | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | ALPHA: (107) implies:
% 184.61/29.28  | | | | | | | | | | | | | | | | | |   (108)   ~ (all_57_15 = e0)
% 184.61/29.28  | | | | | | | | | | | | | | | | | |   (109)  op(e0, e3) = all_57_25
% 184.61/29.28  | | | | | | | | | | | | | | | | | |   (110)  op(e0, all_57_31) = all_57_15
% 184.61/29.28  | | | | | | | | | | | | | | | | | |   (111)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 184.61/29.28  | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 184.61/29.28  | | | | | | | | | | | | | | | | | |            = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 184.61/29.28  | | | | | | | | | | | | | | | | | |            all_57_27 = e0 & op(e1, e0) = e0)
% 184.61/29.28  | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | REDUCE: (58), (110) imply:
% 184.61/29.28  | | | | | | | | | | | | | | | | | |   (112)  op(e0, e3) = all_57_15
% 184.61/29.28  | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | BETA: splitting (111) gives:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | Case 1:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | |   (113)  all_57_31 = e0
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (58), (113) imply:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | |   (114)  e3 = e0
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | SIMP: (114) implies:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | |   (115)  e3 = e0
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | REDUCE: (5), (115) imply:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | |   (116)  $false
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | CLOSE: (116) is inconsistent.
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | Case 2:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | |   (117)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.61/29.28  | | | | | | | | | | | | | | | | | | |            e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 184.61/29.28  | | | | | | | | | | | | | | | | | | |              e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 184.61/29.28  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e0)
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | |   (118)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | ALPHA: (118) implies:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | |   (119)  all_57_25 = e0
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (119) imply:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | |   (120)  op(e0, e3) = e0
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (13) with e0, all_57_15, e3, e0,
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | |              simplifying with (112), (120) gives:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | |   (121)  all_57_15 = e0
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (121) imply:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | |   (122)  $false
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | CLOSE: (122) is inconsistent.
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | |   (123)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | |            e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | |              e0) = e0)
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | |   (124)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (55), (60), (124) are inconsistent by sub-proof
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | |            #240.
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | |   (125)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | | ALPHA: (125) implies:
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | |   (126)  all_57_27 = e0
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (30), (126) are inconsistent by sub-proof
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | |            #903.
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | End of split
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | End of split
% 184.61/29.28  | | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | | End of split
% 184.61/29.28  | | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | | End of split
% 184.61/29.28  | | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | | End of split
% 184.61/29.28  | | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | | End of split
% 184.61/29.28  | | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | | End of split
% 184.61/29.28  | | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | | End of split
% 184.61/29.28  | | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | | End of split
% 184.61/29.28  | | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | | End of split
% 184.61/29.28  | | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | | End of split
% 184.61/29.28  | | | | | | | | | | 
% 184.61/29.28  | | | | | | | | | End of split
% 184.61/29.28  | | | | | | | | | 
% 184.61/29.28  | | | | | | | | End of split
% 184.61/29.28  | | | | | | | | 
% 184.61/29.28  | | | | | | | End of split
% 184.61/29.28  | | | | | | | 
% 184.61/29.28  | | | | | | End of split
% 184.61/29.28  | | | | | | 
% 184.61/29.28  | | | | | End of split
% 184.61/29.28  | | | | | 
% 184.61/29.28  | | | | End of split
% 184.61/29.28  | | | | 
% 184.61/29.28  | | | End of split
% 184.61/29.28  | | | 
% 184.61/29.28  | | End of split
% 184.61/29.28  | | 
% 184.61/29.28  | End of split
% 184.61/29.28  | 
% 184.61/29.28  End of proof
% 184.61/29.28  
% 184.61/29.28  Sub-proof #240 shows that the following formulas are inconsistent:
% 184.61/29.28  ----------------------------------------------------------------
% 184.61/29.28    (1)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 184.61/29.28    (2)  all_57_26 = all_52_7
% 184.61/29.28    (3)   ~ (all_52_7 = e0)
% 184.61/29.28  
% 184.61/29.28  Begin of proof
% 184.61/29.28  | 
% 184.61/29.28  | ALPHA: (1) implies:
% 184.61/29.28  |   (4)  all_57_26 = e0
% 184.61/29.28  | 
% 184.61/29.28  | COMBINE_EQS: (2), (4) imply:
% 184.61/29.28  |   (5)  all_52_7 = e0
% 184.61/29.28  | 
% 184.61/29.28  | SIMP: (5) implies:
% 184.61/29.28  |   (6)  all_52_7 = e0
% 184.61/29.28  | 
% 184.61/29.28  | REDUCE: (3), (6) imply:
% 184.61/29.28  |   (7)  $false
% 184.61/29.28  | 
% 184.61/29.28  | CLOSE: (7) is inconsistent.
% 184.61/29.28  | 
% 184.61/29.28  End of proof
% 184.61/29.28  
% 184.61/29.28  Sub-proof #241 shows that the following formulas are inconsistent:
% 184.61/29.28  ----------------------------------------------------------------
% 184.61/29.28    (1)  op(e0, e0) = all_6_2
% 184.61/29.28    (2)  op(e0, e3) = e3
% 184.61/29.28    (3)   ~ (all_6_2 = e1)
% 184.61/29.28    (4)   ~ (e1 = e0)
% 184.61/29.28    (5)   ~ (e3 = e0)
% 184.61/29.28    (6)   ~ (e2 = e0)
% 184.61/29.28    (7)   ~ (e3 = e1)
% 184.61/29.28    (8)   ~ (all_6_2 = e2)
% 184.61/29.28    (9)  op(e0, e3) = all_52_3
% 184.61/29.28    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.28            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.28    (11)  op(e0, e0) = e3
% 184.61/29.28    (12)  all_56_12 = e3
% 184.61/29.28    (13)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.61/29.28          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.61/29.28            e1)
% 184.61/29.28    (14)   ~ (e3 = e2)
% 184.61/29.28    (15)   ~ (e2 = e1)
% 184.61/29.28    (16)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.61/29.28          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 184.61/29.28            e2)
% 184.61/29.28    (17)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.61/29.28              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.61/29.28                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.61/29.28                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.61/29.28  
% 184.61/29.28  Begin of proof
% 184.61/29.28  | 
% 184.61/29.28  | BETA: splitting (13) gives:
% 184.61/29.28  | 
% 184.61/29.28  | Case 1:
% 184.61/29.28  | | 
% 184.61/29.28  | |   (18)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 184.61/29.28  | |           e1)
% 184.61/29.28  | | 
% 184.61/29.28  | | BETA: splitting (18) gives:
% 184.61/29.28  | | 
% 184.61/29.28  | | Case 1:
% 184.61/29.28  | | | 
% 184.61/29.28  | | |   (19)  all_56_12 = e1 & op(e0, e3) = e1
% 184.61/29.28  | | | 
% 184.61/29.28  | | | ALPHA: (19) implies:
% 184.61/29.28  | | |   (20)  op(e0, e3) = e1
% 184.61/29.28  | | | 
% 184.61/29.28  | | | REF_CLOSE: (2), (7), (9), (10), (20) are inconsistent by sub-proof #1529.
% 184.61/29.28  | | | 
% 184.61/29.28  | | Case 2:
% 184.61/29.28  | | | 
% 184.61/29.28  | | |   (21)  all_56_13 = e1 & op(e0, e2) = e1
% 184.61/29.28  | | | 
% 184.61/29.28  | | | ALPHA: (21) implies:
% 184.61/29.28  | | |   (22)  all_56_13 = e1
% 184.61/29.28  | | | 
% 184.61/29.28  | | | REF_CLOSE: (1), (4), (5), (6), (8), (10), (11), (12), (14), (15), (16),
% 184.61/29.28  | | |            (17), (22) are inconsistent by sub-proof #269.
% 184.61/29.28  | | | 
% 184.61/29.28  | | End of split
% 184.61/29.28  | | 
% 184.61/29.28  | Case 2:
% 184.61/29.28  | | 
% 184.61/29.28  | |   (23)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.61/29.28  | |           e1)
% 184.61/29.28  | | 
% 184.61/29.28  | | BETA: splitting (23) gives:
% 184.61/29.28  | | 
% 184.61/29.28  | | Case 1:
% 184.61/29.28  | | | 
% 184.61/29.28  | | |   (24)  all_56_14 = e1 & op(e0, e1) = e1
% 184.61/29.28  | | | 
% 184.61/29.28  | | | ALPHA: (24) implies:
% 184.61/29.28  | | |   (25)  op(e0, e1) = e1
% 184.61/29.28  | | | 
% 184.61/29.28  | | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (10), (11), (12), (14), (15),
% 184.61/29.28  | | |            (16), (17), (25) are inconsistent by sub-proof #242.
% 184.61/29.28  | | | 
% 184.61/29.28  | | Case 2:
% 184.61/29.28  | | | 
% 184.61/29.28  | | |   (26)  all_56_15 = e1 & op(e0, e0) = e1
% 184.61/29.28  | | | 
% 184.61/29.28  | | | ALPHA: (26) implies:
% 184.61/29.28  | | |   (27)  op(e0, e0) = e1
% 184.61/29.28  | | | 
% 184.61/29.28  | | | REF_CLOSE: (1), (3), (10), (27) are inconsistent by sub-proof #1516.
% 184.61/29.28  | | | 
% 184.61/29.28  | | End of split
% 184.61/29.28  | | 
% 184.61/29.28  | End of split
% 184.61/29.28  | 
% 184.61/29.28  End of proof
% 184.61/29.28  
% 184.61/29.28  Sub-proof #242 shows that the following formulas are inconsistent:
% 184.61/29.28  ----------------------------------------------------------------
% 184.61/29.28    (1)  op(e0, e0) = all_6_2
% 184.61/29.28    (2)  op(e0, e3) = e3
% 184.61/29.28    (3)   ~ (e1 = e0)
% 184.61/29.29    (4)   ~ (e3 = e0)
% 184.61/29.29    (5)   ~ (e2 = e0)
% 184.61/29.29    (6)  op(e0, e1) = e1
% 184.61/29.29    (7)   ~ (all_6_2 = e2)
% 184.61/29.29    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.29           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.29    (9)  op(e0, e0) = e3
% 184.61/29.29    (10)  all_56_12 = e3
% 184.61/29.29    (11)   ~ (e3 = e2)
% 184.61/29.29    (12)   ~ (e2 = e1)
% 184.61/29.29    (13)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.61/29.29          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 184.61/29.29            e2)
% 184.61/29.29    (14)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.61/29.29              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.61/29.29                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.61/29.29                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.61/29.29  
% 184.61/29.29  Begin of proof
% 184.61/29.29  | 
% 184.61/29.29  | BETA: splitting (13) gives:
% 184.61/29.29  | 
% 184.61/29.29  | Case 1:
% 184.61/29.29  | | 
% 184.61/29.29  | |   (15)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 184.61/29.29  | |           e2)
% 184.61/29.29  | | 
% 184.61/29.29  | | BETA: splitting (15) gives:
% 184.61/29.29  | | 
% 184.61/29.29  | | Case 1:
% 184.61/29.29  | | | 
% 184.61/29.29  | | |   (16)  all_56_12 = e2 & op(e0, e3) = e2
% 184.61/29.29  | | | 
% 184.61/29.29  | | | ALPHA: (16) implies:
% 184.61/29.29  | | |   (17)  op(e0, e3) = e2
% 184.61/29.29  | | | 
% 184.61/29.29  | | | REF_CLOSE: (2), (8), (11), (17) are inconsistent by sub-proof #1039.
% 184.61/29.29  | | | 
% 184.61/29.29  | | Case 2:
% 184.61/29.29  | | | 
% 184.61/29.29  | | |   (18)  all_56_13 = e2 & op(e0, e2) = e2
% 184.61/29.29  | | | 
% 184.61/29.29  | | | ALPHA: (18) implies:
% 184.61/29.29  | | |   (19)  all_56_13 = e2
% 184.61/29.29  | | | 
% 184.61/29.29  | | | BETA: splitting (14) gives:
% 184.61/29.29  | | | 
% 184.61/29.29  | | | Case 1:
% 184.61/29.29  | | | | 
% 184.61/29.29  | | | |   (20)  all_56_15 = e0 & op(e0, e0) = e0
% 184.61/29.29  | | | | 
% 184.61/29.29  | | | | ALPHA: (20) implies:
% 184.61/29.29  | | | |   (21)  op(e0, e0) = e0
% 184.61/29.29  | | | | 
% 184.61/29.29  | | | | REF_CLOSE: (4), (8), (9), (21) are inconsistent by sub-proof #1540.
% 184.61/29.29  | | | | 
% 184.61/29.29  | | | Case 2:
% 184.61/29.29  | | | | 
% 184.61/29.29  | | | |   (22)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2,
% 184.61/29.29  | | | |               e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 184.61/29.29  | | | |         ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0,
% 184.61/29.29  | | | |               e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 184.61/29.29  | | | | 
% 184.61/29.29  | | | | ALPHA: (22) implies:
% 184.61/29.29  | | | |   (23)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0,
% 184.61/29.29  | | | |             e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.61/29.29  | | | | 
% 184.61/29.29  | | | | BETA: splitting (23) gives:
% 184.61/29.29  | | | | 
% 184.61/29.29  | | | | Case 1:
% 184.61/29.29  | | | | | 
% 184.61/29.29  | | | | |   (24)  all_56_12 = e0 & op(e0, e3) = e0
% 184.61/29.29  | | | | | 
% 184.61/29.29  | | | | | REF_CLOSE: (4), (10), (24) are inconsistent by sub-proof #713.
% 184.61/29.29  | | | | | 
% 184.61/29.29  | | | | Case 2:
% 184.61/29.29  | | | | | 
% 184.61/29.29  | | | | |   (25)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 184.61/29.29  | | | | |             e1) = e0)
% 184.61/29.29  | | | | | 
% 184.61/29.29  | | | | | REF_CLOSE: (3), (5), (6), (8), (19), (25) are inconsistent by
% 184.61/29.29  | | | | |            sub-proof #1120.
% 184.61/29.29  | | | | | 
% 184.61/29.29  | | | | End of split
% 184.61/29.29  | | | | 
% 184.61/29.29  | | | End of split
% 184.61/29.29  | | | 
% 184.61/29.29  | | End of split
% 184.61/29.29  | | 
% 184.61/29.29  | Case 2:
% 184.61/29.29  | | 
% 184.61/29.29  | |   (26)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 184.61/29.29  | |           e2)
% 184.61/29.29  | | 
% 184.61/29.29  | | REF_CLOSE: (1), (6), (7), (8), (12), (26) are inconsistent by sub-proof
% 184.61/29.29  | |            #837.
% 184.61/29.29  | | 
% 184.61/29.29  | End of split
% 184.61/29.29  | 
% 184.61/29.29  End of proof
% 184.61/29.29  
% 184.61/29.29  Sub-proof #243 shows that the following formulas are inconsistent:
% 184.61/29.29  ----------------------------------------------------------------
% 184.61/29.29    (1)  op(e0, e3) = e3
% 184.61/29.29    (2)   ~ (all_4_2 = e0)
% 184.61/29.29    (3)   ~ (e1 = e0)
% 184.61/29.29    (4)  all_56_2 = e2
% 184.61/29.29    (5)   ~ (e3 = e0)
% 184.61/29.29    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.61/29.29         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.61/29.29    (7)   ~ (e2 = e0)
% 184.61/29.29    (8)   ~ (e3 = e1)
% 184.61/29.29    (9)  op(e0, e3) = all_52_3
% 184.61/29.29    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.29            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.29    (11)  op(e2, e3) = e2
% 184.61/29.29    (12)  all_56_12 = e3
% 184.61/29.29    (13)  op(e3, e3) = all_4_2
% 184.61/29.29    (14)  op(e3, e3) = e3
% 184.61/29.29    (15)   ~ (e2 = e1)
% 184.61/29.29    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.61/29.29          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.61/29.29  
% 184.61/29.29  Begin of proof
% 184.61/29.29  | 
% 184.61/29.29  | BETA: splitting (6) gives:
% 184.61/29.29  | 
% 184.61/29.29  | Case 1:
% 184.61/29.29  | | 
% 184.61/29.29  | |   (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 184.61/29.29  | |           e1)
% 184.61/29.29  | | 
% 184.61/29.29  | | BETA: splitting (17) gives:
% 184.61/29.29  | | 
% 184.61/29.29  | | Case 1:
% 184.61/29.29  | | | 
% 184.61/29.29  | | |   (18)  all_56_0 = e1 & op(e3, e3) = e1
% 184.61/29.29  | | | 
% 184.61/29.29  | | | ALPHA: (18) implies:
% 184.61/29.29  | | |   (19)  op(e3, e3) = e1
% 184.61/29.29  | | | 
% 184.61/29.29  | | | REF_CLOSE: (8), (10), (14), (19) are inconsistent by sub-proof #1600.
% 184.61/29.29  | | | 
% 184.61/29.29  | | Case 2:
% 184.61/29.29  | | | 
% 184.61/29.29  | | |   (20)  all_56_2 = e1 & op(e2, e3) = e1
% 184.61/29.29  | | | 
% 184.61/29.29  | | | ALPHA: (20) implies:
% 184.61/29.29  | | |   (21)  all_56_2 = e1
% 184.61/29.29  | | | 
% 184.61/29.29  | | | REF_CLOSE: (4), (15), (21) are inconsistent by sub-proof #1363.
% 184.61/29.29  | | | 
% 184.61/29.29  | | End of split
% 184.61/29.29  | | 
% 184.61/29.29  | Case 2:
% 184.61/29.29  | | 
% 184.61/29.29  | |   (22)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 184.61/29.29  | |           e1)
% 184.61/29.29  | | 
% 184.61/29.29  | | BETA: splitting (22) gives:
% 184.61/29.29  | | 
% 184.61/29.29  | | Case 1:
% 184.61/29.29  | | | 
% 184.61/29.29  | | |   (23)  all_56_6 = e1 & op(e1, e3) = e1
% 184.61/29.29  | | | 
% 184.61/29.29  | | | ALPHA: (23) implies:
% 184.61/29.29  | | |   (24)  op(e1, e3) = e1
% 184.61/29.29  | | | 
% 184.61/29.29  | | | BETA: splitting (16) gives:
% 184.61/29.29  | | | 
% 184.61/29.29  | | | Case 1:
% 184.61/29.29  | | | | 
% 184.61/29.29  | | | |   (25)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3)
% 184.61/29.29  | | | |           = e0)
% 184.61/29.29  | | | | 
% 184.61/29.29  | | | | REF_CLOSE: (2), (7), (10), (11), (13), (25) are inconsistent by
% 184.61/29.29  | | | |            sub-proof #1181.
% 184.61/29.29  | | | | 
% 184.61/29.29  | | | Case 2:
% 184.61/29.29  | | | | 
% 184.61/29.29  | | | |   (26)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3)
% 184.61/29.29  | | | |           = e0)
% 184.61/29.29  | | | | 
% 184.61/29.29  | | | | BETA: splitting (26) gives:
% 184.61/29.29  | | | | 
% 184.61/29.29  | | | | Case 1:
% 184.61/29.29  | | | | | 
% 184.61/29.29  | | | | |   (27)  all_56_6 = e0 & op(e1, e3) = e0
% 184.61/29.29  | | | | | 
% 184.61/29.29  | | | | | ALPHA: (27) implies:
% 184.61/29.29  | | | | |   (28)  op(e1, e3) = e0
% 184.61/29.29  | | | | | 
% 184.61/29.29  | | | | | REF_CLOSE: (3), (10), (24), (28) are inconsistent by sub-proof #1251.
% 184.61/29.29  | | | | | 
% 184.61/29.29  | | | | Case 2:
% 184.61/29.29  | | | | | 
% 184.61/29.29  | | | | |   (29)  all_56_12 = e0 & op(e0, e3) = e0
% 184.61/29.29  | | | | | 
% 184.61/29.29  | | | | | ALPHA: (29) implies:
% 184.61/29.29  | | | | |   (30)  all_56_12 = e0
% 184.61/29.29  | | | | | 
% 184.61/29.29  | | | | | REF_CLOSE: (5), (12), (30) are inconsistent by sub-proof #1519.
% 184.61/29.29  | | | | | 
% 184.61/29.29  | | | | End of split
% 184.61/29.29  | | | | 
% 184.61/29.29  | | | End of split
% 184.61/29.29  | | | 
% 184.61/29.29  | | Case 2:
% 184.61/29.29  | | | 
% 184.61/29.29  | | |   (31)  all_56_12 = e1 & op(e0, e3) = e1
% 184.61/29.29  | | | 
% 184.61/29.29  | | | ALPHA: (31) implies:
% 184.61/29.29  | | |   (32)  op(e0, e3) = e1
% 184.61/29.29  | | | 
% 184.61/29.29  | | | REF_CLOSE: (1), (8), (9), (10), (32) are inconsistent by sub-proof #1529.
% 184.61/29.29  | | | 
% 184.61/29.29  | | End of split
% 184.61/29.29  | | 
% 184.61/29.29  | End of split
% 184.61/29.29  | 
% 184.61/29.29  End of proof
% 184.61/29.29  
% 184.61/29.29  Sub-proof #244 shows that the following formulas are inconsistent:
% 184.61/29.29  ----------------------------------------------------------------
% 184.61/29.29    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.61/29.29         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.61/29.29    (2)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.61/29.29    (3)   ~ (e1 = e0)
% 184.61/29.29    (4)  op(e1, e3) = all_52_2
% 184.61/29.29    (5)   ~ (e3 = e0)
% 184.61/29.29    (6)  op(e0, e1) = all_52_11
% 184.61/29.29    (7)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.61/29.29         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.61/29.29    (8)   ~ (e2 = e0)
% 184.61/29.29    (9)   ~ (e3 = e1)
% 184.61/29.29    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.29            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.29    (11)  all_56_11 = e2
% 184.61/29.29    (12)   ~ (e3 = e2)
% 184.61/29.29    (13)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.61/29.29          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.61/29.29    (14)   ~ (e2 = e1)
% 184.61/29.29    (15)   ~ (all_52_11 = e2)
% 184.61/29.29    (16)   ~ (all_52_2 = e1)
% 184.61/29.29  
% 184.61/29.29  Begin of proof
% 184.61/29.29  | 
% 184.61/29.29  | BETA: splitting (2) gives:
% 184.61/29.29  | 
% 184.61/29.29  | Case 1:
% 184.61/29.29  | | 
% 184.61/29.29  | |   (17)  all_56_8 = e2 & op(e1, e1) = e2
% 184.61/29.29  | | 
% 184.61/29.29  | | ALPHA: (17) implies:
% 184.61/29.29  | |   (18)  op(e1, e1) = e2
% 184.61/29.29  | | 
% 184.61/29.29  | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13), (14),
% 184.61/29.29  | |            (16), (18) are inconsistent by sub-proof #635.
% 184.61/29.29  | | 
% 184.61/29.29  | Case 2:
% 184.61/29.29  | | 
% 184.61/29.29  | |   (19)  all_56_14 = e2 & op(e0, e1) = e2
% 184.61/29.29  | | 
% 184.61/29.29  | | REF_CLOSE: (6), (10), (15), (19) are inconsistent by sub-proof #245.
% 184.61/29.29  | | 
% 184.61/29.29  | End of split
% 184.61/29.29  | 
% 184.61/29.29  End of proof
% 184.61/29.29  
% 184.61/29.29  Sub-proof #245 shows that the following formulas are inconsistent:
% 184.61/29.29  ----------------------------------------------------------------
% 184.61/29.29    (1)  all_56_14 = e2 & op(e0, e1) = e2
% 184.61/29.29    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.29           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.29    (3)  op(e0, e1) = all_52_11
% 184.61/29.29    (4)   ~ (all_52_11 = e2)
% 184.61/29.29  
% 184.61/29.29  Begin of proof
% 184.61/29.29  | 
% 184.61/29.29  | ALPHA: (1) implies:
% 184.61/29.29  |   (5)  op(e0, e1) = e2
% 184.61/29.29  | 
% 184.61/29.29  | GROUND_INST: instantiating (2) with all_52_11, e2, e1, e0, simplifying with
% 184.61/29.29  |              (3), (5) gives:
% 184.61/29.29  |   (6)  all_52_11 = e2
% 184.61/29.29  | 
% 184.61/29.29  | REDUCE: (4), (6) imply:
% 184.61/29.29  |   (7)  $false
% 184.61/29.29  | 
% 184.61/29.29  | CLOSE: (7) is inconsistent.
% 184.61/29.29  | 
% 184.61/29.29  End of proof
% 184.61/29.29  
% 184.61/29.29  Sub-proof #246 shows that the following formulas are inconsistent:
% 184.61/29.29  ----------------------------------------------------------------
% 184.61/29.29    (1)   ~ (all_4_2 = e0)
% 184.61/29.29    (2)  op(e2, e3) = e3
% 184.61/29.29    (3)  op(e1, e3) = all_52_2
% 184.61/29.29    (4)   ~ (e3 = e0)
% 184.61/29.29    (5)   ~ (e2 = e0)
% 184.61/29.29    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.29           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.29    (7)  all_56_12 = e2
% 184.61/29.29    (8)  op(e3, e3) = all_4_2
% 184.61/29.29    (9)   ~ (all_52_2 = e0)
% 184.61/29.29    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.61/29.29          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.61/29.29  
% 184.61/29.29  Begin of proof
% 184.61/29.29  | 
% 184.61/29.29  | BETA: splitting (10) gives:
% 184.61/29.29  | 
% 184.61/29.29  | Case 1:
% 184.61/29.29  | | 
% 184.61/29.29  | |   (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 184.61/29.29  | |           e0)
% 184.61/29.29  | | 
% 184.61/29.29  | | REF_CLOSE: (1), (2), (4), (6), (8), (11) are inconsistent by sub-proof
% 184.61/29.29  | |            #1595.
% 184.61/29.29  | | 
% 184.61/29.29  | Case 2:
% 184.61/29.29  | | 
% 184.61/29.29  | |   (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 184.61/29.29  | |           e0)
% 184.61/29.29  | | 
% 184.61/29.29  | | REF_CLOSE: (3), (5), (6), (7), (9), (12) are inconsistent by sub-proof
% 184.61/29.29  | |            #1173.
% 184.61/29.29  | | 
% 184.61/29.29  | End of split
% 184.61/29.29  | 
% 184.61/29.29  End of proof
% 184.61/29.29  
% 184.61/29.29  Sub-proof #247 shows that the following formulas are inconsistent:
% 184.61/29.29  ----------------------------------------------------------------
% 184.61/29.29    (1)   ~ (all_4_2 = e0)
% 184.61/29.29    (2)   ~ (e2 = e0)
% 184.61/29.29    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 184.61/29.29    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.29           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.29    (5)  op(e3, e3) = all_4_2
% 184.61/29.29    (6)  all_56_1 = e2
% 184.61/29.29  
% 184.61/29.29  Begin of proof
% 184.61/29.29  | 
% 184.61/29.29  | BETA: splitting (3) gives:
% 184.61/29.29  | 
% 184.61/29.29  | Case 1:
% 184.61/29.29  | | 
% 184.61/29.29  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 184.61/29.29  | | 
% 184.61/29.29  | | ALPHA: (7) implies:
% 184.61/29.29  | |   (8)  op(e3, e3) = e0
% 184.61/29.29  | | 
% 184.61/29.29  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1624.
% 184.61/29.29  | | 
% 184.61/29.29  | Case 2:
% 184.61/29.29  | | 
% 184.61/29.29  | |   (9)  all_56_1 = e0 & op(e3, e2) = e0
% 184.61/29.29  | | 
% 184.61/29.29  | | ALPHA: (9) implies:
% 184.61/29.29  | |   (10)  all_56_1 = e0
% 184.61/29.29  | | 
% 184.61/29.29  | | REF_CLOSE: (2), (6), (10) are inconsistent by sub-proof #1019.
% 184.61/29.29  | | 
% 184.61/29.29  | End of split
% 184.61/29.29  | 
% 184.61/29.29  End of proof
% 184.61/29.29  
% 184.61/29.29  Sub-proof #248 shows that the following formulas are inconsistent:
% 184.61/29.29  ----------------------------------------------------------------
% 184.61/29.29    (1)  all_54_1 = e1 | all_54_1 = e0
% 184.61/29.29    (2)  all_54_1 = all_10_1
% 184.61/29.29    (3)   ~ (all_10_1 = e1)
% 184.61/29.29    (4)   ~ (all_10_1 = e0)
% 184.61/29.29  
% 184.61/29.29  Begin of proof
% 184.61/29.29  | 
% 184.61/29.29  | BETA: splitting (1) gives:
% 184.61/29.29  | 
% 184.61/29.29  | Case 1:
% 184.61/29.29  | | 
% 184.61/29.29  | |   (5)  all_54_1 = e1
% 184.61/29.29  | | 
% 184.61/29.29  | | COMBINE_EQS: (2), (5) imply:
% 184.61/29.29  | |   (6)  all_10_1 = e1
% 184.61/29.29  | | 
% 184.61/29.29  | | SIMP: (6) implies:
% 184.61/29.29  | |   (7)  all_10_1 = e1
% 184.61/29.29  | | 
% 184.61/29.29  | | REDUCE: (3), (7) imply:
% 184.61/29.29  | |   (8)  $false
% 184.61/29.29  | | 
% 184.61/29.29  | | CLOSE: (8) is inconsistent.
% 184.61/29.29  | | 
% 184.61/29.29  | Case 2:
% 184.61/29.29  | | 
% 184.61/29.29  | |   (9)  all_54_1 = e0
% 184.61/29.29  | | 
% 184.61/29.29  | | COMBINE_EQS: (2), (9) imply:
% 184.61/29.29  | |   (10)  all_10_1 = e0
% 184.61/29.29  | | 
% 184.61/29.29  | | SIMP: (10) implies:
% 184.61/29.29  | |   (11)  all_10_1 = e0
% 184.61/29.29  | | 
% 184.61/29.29  | | REDUCE: (4), (11) imply:
% 184.61/29.29  | |   (12)  $false
% 184.61/29.29  | | 
% 184.61/29.29  | | CLOSE: (12) is inconsistent.
% 184.61/29.29  | | 
% 184.61/29.29  | End of split
% 184.61/29.29  | 
% 184.61/29.29  End of proof
% 184.61/29.29  
% 184.61/29.29  Sub-proof #249 shows that the following formulas are inconsistent:
% 184.61/29.29  ----------------------------------------------------------------
% 184.61/29.29    (1)  all_54_1 = all_10_1
% 184.61/29.29    (2)  all_54_1 = e3
% 184.61/29.29    (3)   ~ (all_10_1 = e3)
% 184.61/29.29  
% 184.61/29.29  Begin of proof
% 184.61/29.29  | 
% 184.61/29.29  | COMBINE_EQS: (1), (2) imply:
% 184.61/29.29  |   (4)  all_10_1 = e3
% 184.61/29.29  | 
% 184.61/29.29  | SIMP: (4) implies:
% 184.61/29.29  |   (5)  all_10_1 = e3
% 184.61/29.29  | 
% 184.61/29.29  | REDUCE: (3), (5) imply:
% 184.61/29.29  |   (6)  $false
% 184.61/29.29  | 
% 184.61/29.29  | CLOSE: (6) is inconsistent.
% 184.61/29.29  | 
% 184.61/29.29  End of proof
% 184.61/29.29  
% 184.61/29.29  Sub-proof #250 shows that the following formulas are inconsistent:
% 184.61/29.29  ----------------------------------------------------------------
% 184.61/29.29    (1)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 184.61/29.29    (2)  op(e2, e2) = e3
% 184.61/29.29    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.29           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.29    (4)   ~ (e3 = e2)
% 184.61/29.29    (5)  op(e3, e3) = e1
% 184.61/29.29    (6)   ~ (e2 = e1)
% 184.61/29.29  
% 184.61/29.29  Begin of proof
% 184.61/29.29  | 
% 184.61/29.29  | BETA: splitting (1) gives:
% 184.61/29.29  | 
% 184.61/29.29  | Case 1:
% 184.61/29.29  | | 
% 184.61/29.29  | |   (7)  all_57_28 = e2 & op(e3, e3) = e2
% 184.61/29.29  | | 
% 184.61/29.29  | | ALPHA: (7) implies:
% 184.61/29.29  | |   (8)  op(e3, e3) = e2
% 184.61/29.29  | | 
% 184.61/29.29  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1582.
% 184.61/29.29  | | 
% 184.61/29.29  | Case 2:
% 184.61/29.29  | | 
% 184.61/29.29  | |   (9)  all_57_29 = e2 & op(e2, e2) = e2
% 184.61/29.29  | | 
% 184.61/29.29  | | ALPHA: (9) implies:
% 184.61/29.29  | |   (10)  op(e2, e2) = e2
% 184.61/29.29  | | 
% 184.61/29.29  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1602.
% 184.61/29.29  | | 
% 184.61/29.29  | End of split
% 184.61/29.29  | 
% 184.61/29.29  End of proof
% 184.61/29.29  
% 184.61/29.29  Sub-proof #251 shows that the following formulas are inconsistent:
% 184.61/29.29  ----------------------------------------------------------------
% 184.61/29.29    (1)   ~ (all_10_0 = e1) & op(e3, e3) = all_10_0 & $i(all_10_0)
% 184.61/29.29    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.29           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.29    (3)  op(e3, e3) = e1
% 184.61/29.29  
% 184.61/29.29  Begin of proof
% 184.61/29.29  | 
% 184.61/29.29  | ALPHA: (1) implies:
% 184.61/29.29  |   (4)   ~ (all_10_0 = e1)
% 184.61/29.29  |   (5)  op(e3, e3) = all_10_0
% 184.61/29.29  | 
% 184.61/29.29  | GROUND_INST: instantiating (2) with e1, all_10_0, e3, e3, simplifying with
% 184.61/29.29  |              (3), (5) gives:
% 184.61/29.29  |   (6)  all_10_0 = e1
% 184.61/29.29  | 
% 184.61/29.29  | REDUCE: (4), (6) imply:
% 184.61/29.29  |   (7)  $false
% 184.61/29.29  | 
% 184.61/29.29  | CLOSE: (7) is inconsistent.
% 184.61/29.29  | 
% 184.61/29.29  End of proof
% 184.61/29.29  
% 184.61/29.29  Sub-proof #252 shows that the following formulas are inconsistent:
% 184.61/29.29  ----------------------------------------------------------------
% 184.61/29.29    (1)  op(e1, e0) = all_52_14
% 184.61/29.29    (2)  op(e0, e0) = e0
% 184.61/29.29    (3)   ~ (all_52_14 = e1)
% 184.61/29.29    (4)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 184.61/29.29    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.29           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.29    (6)   ~ (all_52_8 = e0)
% 184.61/29.29    (7)  all_54_2 = all_52_8
% 184.61/29.29    (8)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 =
% 184.61/29.29             e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0)
% 184.61/29.29           & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.61/29.29             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.61/29.29           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 184.61/29.29           $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 184.61/29.29           $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 184.61/29.29           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 184.61/29.29           & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 184.61/29.29           op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.61/29.29           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.61/29.29           $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 184.61/29.29           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.61/29.29               op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 184.61/29.29               e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 184.61/29.29    (9)   ~ (all_52_8 = e1)
% 184.61/29.29  
% 184.61/29.29  Begin of proof
% 184.61/29.29  | 
% 184.61/29.29  | BETA: splitting (8) gives:
% 184.61/29.29  | 
% 184.61/29.29  | Case 1:
% 184.61/29.29  | | 
% 184.61/29.29  | |   (10)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 184.61/29.29  | |         (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.61/29.29  | |         (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23)
% 184.61/29.29  | |         = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22
% 184.61/29.29  | |         & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1
% 184.61/29.29  | |         & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.61/29.29  | |         $i(all_57_23) & $i(all_57_30)
% 184.61/29.29  | | 
% 184.61/29.29  | | ALPHA: (10) implies:
% 184.61/29.29  | |   (11)  op(e1, e0) = e1
% 184.61/29.29  | | 
% 184.61/29.29  | | REF_CLOSE: (1), (3), (5), (11) are inconsistent by sub-proof #1609.
% 184.61/29.29  | | 
% 184.61/29.29  | Case 2:
% 184.61/29.29  | | 
% 184.61/29.29  | |   (12)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.61/29.29  | |         (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 184.61/29.29  | |         = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 184.61/29.29  | |         all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.61/29.29  | |           e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.61/29.29  | |         $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.61/29.29  | |         (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.61/29.29  | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 184.61/29.29  | |           (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 184.61/29.29  | | 
% 184.61/29.29  | | ALPHA: (12) implies:
% 184.61/29.29  | |   (13)  op(e0, e0) = all_57_31
% 184.61/29.29  | | 
% 184.61/29.29  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (13) are
% 184.61/29.29  | |            inconsistent by sub-proof #1238.
% 184.61/29.29  | | 
% 184.61/29.29  | End of split
% 184.61/29.29  | 
% 184.61/29.29  End of proof
% 184.61/29.29  
% 184.61/29.29  Sub-proof #253 shows that the following formulas are inconsistent:
% 184.61/29.29  ----------------------------------------------------------------
% 184.61/29.29    (1)  op(e2, e2) = e3
% 184.61/29.29    (2)   ~ (e3 = e1)
% 184.61/29.29    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.29           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.29    (4)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 184.61/29.29    (5)  op(e3, e3) = all_4_2
% 184.61/29.29    (6)   ~ (all_4_2 = e1)
% 184.61/29.29  
% 184.61/29.29  Begin of proof
% 184.61/29.29  | 
% 184.61/29.29  | BETA: splitting (4) gives:
% 184.61/29.29  | 
% 184.61/29.29  | Case 1:
% 184.61/29.29  | | 
% 184.61/29.29  | |   (7)  all_57_28 = e1 & op(e3, e3) = e1
% 184.61/29.29  | | 
% 184.61/29.29  | | ALPHA: (7) implies:
% 184.61/29.29  | |   (8)  op(e3, e3) = e1
% 184.61/29.29  | | 
% 184.61/29.29  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1525.
% 184.61/29.29  | | 
% 184.61/29.29  | Case 2:
% 184.61/29.29  | | 
% 184.61/29.29  | |   (9)  all_57_29 = e1 & op(e2, e2) = e1
% 184.61/29.29  | | 
% 184.61/29.29  | | ALPHA: (9) implies:
% 184.61/29.29  | |   (10)  op(e2, e2) = e1
% 184.61/29.29  | | 
% 184.61/29.29  | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #1347.
% 184.61/29.29  | | 
% 184.61/29.29  | End of split
% 184.61/29.29  | 
% 184.61/29.29  End of proof
% 184.61/29.29  
% 184.61/29.29  Sub-proof #254 shows that the following formulas are inconsistent:
% 184.61/29.29  ----------------------------------------------------------------
% 184.61/29.29    (1)   ~ (all_52_12 = all_4_2)
% 184.61/29.29    (2)  all_54_6 = all_52_9
% 184.61/29.29    (3)   ~ (all_52_8 = all_52_11)
% 184.61/29.29    (4)  op(e0, e0) = all_6_2
% 184.61/29.29    (5)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 184.61/29.29    (6)   ~ (all_52_4 = all_52_12)
% 184.61/29.29    (7)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.61/29.29         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.61/29.29    (8)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3) |
% 184.61/29.29         (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) = e3) |
% 184.61/29.29         ( ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 & $i(all_57_19))
% 184.61/29.29    (9)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 184.61/29.29    (10)   ~ (all_32_2 = e3) | ( ~ (all_32_0 = e2) & op(e3, e3) = all_32_0 &
% 184.61/29.29            $i(all_32_0)) | ( ~ (all_32_1 = e1) & op(e3, e0) = all_32_1 &
% 184.61/29.29            $i(all_32_1))
% 184.61/29.29    (11)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 184.61/29.29    (12)   ~ (all_4_2 = e0)
% 184.61/29.29    (13)   ~ (all_52_11 = e1)
% 184.61/29.29    (14)   ~ (all_6_2 = e1)
% 184.61/29.29    (15)   ~ (all_52_7 = e3)
% 184.61/29.29    (16)   ~ (all_52_8 = all_14_2)
% 184.61/29.29    (17)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.61/29.29          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.61/29.29    (18)   ~ (all_52_6 = all_52_14)
% 184.61/29.29    (19)   ~ (all_52_13 = e3)
% 184.61/29.29    (20)   ~ (e1 = e0)
% 184.61/29.29    (21)  op(e1, e3) = all_52_2
% 184.61/29.29    (22)   ~ (all_52_1 = all_4_2)
% 184.61/29.29    (23)  op(e1, e0) = all_52_14
% 184.61/29.29    (24)   ~ (all_52_4 = e3)
% 184.61/29.29    (25)  all_54_15 = all_6_2
% 184.61/29.29    (26)   ~ (all_52_12 = e2)
% 184.61/29.29    (27)   ~ (all_52_13 = all_52_14)
% 184.61/29.29    (28)  all_54_0 = all_4_2
% 184.61/29.29    (29)  op(e1, e1) = all_14_2
% 184.61/29.29    (30)   ~ (e3 = e0)
% 184.61/29.29    (31)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 184.61/29.29          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 184.61/29.29    (32)   ~ (all_52_3 = all_52_7)
% 184.61/29.29    (33)  op(e0, e1) = all_52_11
% 184.61/29.29    (34)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 184.61/29.29          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 184.61/29.30    (35)   ~ (all_52_13 = all_6_2)
% 184.61/29.30    (36)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 184.61/29.30          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.61/29.30    (37)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.61/29.30          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.61/29.30    (38)  op(e2, e1) = all_52_9
% 184.61/29.30    (39)  op(e2, e2) = e3
% 184.61/29.30    (40)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.61/29.30          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.61/29.30    (41)   ~ (all_52_11 = all_6_2)
% 184.61/29.30    (42)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 184.61/29.30          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 184.61/29.30    (43)   ~ (all_52_14 = e1)
% 184.61/29.30    (44)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 184.61/29.30          | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 184.61/29.30            e2) | ( ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 & $i(all_57_23))
% 184.61/29.30    (45)  op(e3, e0) = all_52_12
% 184.61/29.30    (46)   ~ (e2 = e0)
% 184.61/29.30    (47)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 184.61/29.30          | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 184.61/29.30            e3) | ( ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 & $i(all_57_28))
% 184.61/29.30    (48)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 184.61/29.30          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 184.61/29.30    (49)   ~ (all_52_1 = e2)
% 184.61/29.30    (50)   ~ (all_52_8 = all_4_2)
% 184.61/29.30    (51)  all_54_13 = all_52_7
% 184.61/29.30    (52)   ~ (all_52_6 = all_52_7)
% 184.61/29.30    (53)   ~ (all_52_12 = all_52_13)
% 184.61/29.30    (54)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.61/29.30          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.61/29.30    (55)   ~ (e3 = e1)
% 184.61/29.30    (56)   ~ (all_52_4 = all_52_7)
% 184.61/29.30    (57)  op(e3, e3) = e2
% 184.61/29.30    (58)   ~ (all_6_2 = e2)
% 184.61/29.30    (59)   ~ (all_52_9 = all_52_13)
% 184.61/29.30    (60)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 184.61/29.30    (61)   ~ (all_14_2 = e0)
% 184.61/29.30    (62)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 184.61/29.30          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 184.61/29.30    (63)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 184.61/29.30    (64)   ~ (all_52_12 = all_52_14)
% 184.61/29.30    (65)  op(e2, e3) = all_52_1
% 184.61/29.30    (66)  all_54_4 = all_52_1
% 184.61/29.30    (67)   ~ (all_52_1 = all_52_2)
% 184.61/29.30    (68)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 184.61/29.30    (69)  all_30_2 = all_4_2
% 184.61/29.30    (70)   ~ (all_52_1 = e3)
% 184.61/29.30    (71)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 184.61/29.30          | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 184.61/29.30            e3) | ( ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 & $i(all_57_22))
% 184.61/29.30    (72)  op(e0, e3) = all_52_3
% 184.61/29.30    (73)   ~ (all_52_4 = all_52_8)
% 184.61/29.30    (74)  all_54_10 = all_14_2
% 184.61/29.30    (75)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 184.61/29.30    (76)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.61/29.30            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.61/29.30    (77)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.61/29.30          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.61/29.30    (78)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 184.61/29.30    (79)   ~ (all_52_1 = all_52_13)
% 184.61/29.30    (80)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 184.61/29.30          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 184.61/29.30            e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 & $i(all_57_24))
% 184.61/29.30    (81)  all_54_7 = all_52_13
% 184.61/29.30    (82)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 184.61/29.30    (83)  all_57_31 = all_6_2
% 184.61/29.30    (84)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 184.61/29.30          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 184.61/29.30    (85)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 184.61/29.30              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 184.61/29.30            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.61/29.30              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.61/29.30            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 184.61/29.30            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.61/29.30            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 184.61/29.30            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.61/29.30            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 184.61/29.30            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.61/29.30              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 184.61/29.30              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.61/29.30            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.61/29.30          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 184.61/29.30              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 184.61/29.30            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.61/29.30              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.61/29.30            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 184.61/29.30            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.61/29.30            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 184.61/29.30            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.61/29.30            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.61/29.30              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.61/29.30              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 184.61/29.30            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 184.61/29.30            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.61/29.30            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 184.61/29.30            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 184.61/29.30            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 184.61/29.30            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 184.61/29.30            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.61/29.30            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 184.61/29.30            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 184.61/29.30            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 184.61/29.30              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 184.61/29.30            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 184.61/29.30            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 184.61/29.30              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 184.61/29.30            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 184.61/29.30            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 184.61/29.30            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 184.61/29.30            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.61/29.30            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 184.61/29.30              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 184.61/29.30              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 184.61/29.30            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 184.61/29.30            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 184.61/29.30              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 184.61/29.30            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 184.61/29.30            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.61/29.30            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 184.61/29.30            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.61/29.30            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 184.61/29.30                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 184.61/29.30                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 184.61/29.30                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.61/29.30                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 184.61/29.30                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.61/29.30                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.61/29.30                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.61/29.30                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.61/29.30                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.61/29.30                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.61/29.30                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 184.61/29.30                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.61/29.30                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.61/29.30                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.61/29.30                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 184.61/29.30                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 184.61/29.30    (86)  all_54_11 = all_52_14
% 184.61/29.30    (87)   ~ (all_30_2 = e2) | ( ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 &
% 184.61/29.30            $i(all_30_0)) | ( ~ (all_30_1 = e0) & op(e2, e3) = all_30_1 &
% 184.61/29.30            $i(all_30_1))
% 184.61/29.30    (88)   ~ (all_52_8 = all_52_12)
% 184.61/29.30    (89)  all_32_2 = all_6_2
% 184.61/29.30    (90)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.61/29.30          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.61/29.30    (91)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 184.61/29.30          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 184.61/29.30            e0) | ( ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 & $i(all_57_21))
% 184.61/29.30    (92)   ~ (all_14_2 = e3)
% 184.61/29.30    (93)   ~ (all_52_9 = all_52_11)
% 184.61/29.30    (94)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 184.61/29.30          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 184.61/29.30    (95)   ~ (all_52_8 = e2)
% 184.61/29.30    (96)  all_54_9 = all_52_6
% 184.61/29.30    (97)   ~ (all_52_8 = all_52_9)
% 184.61/29.30    (98)   ~ (all_52_7 = all_6_2)
% 184.61/29.30    (99)  all_56_0 = e2
% 184.61/29.30    (100)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.61/29.30           | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.61/29.30             e1)
% 184.61/29.30    (101)   ~ (all_52_3 = all_4_2)
% 184.61/29.30    (102)  op(e2, e0) = all_52_13
% 184.61/29.30    (103)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.61/29.30           | (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 184.61/29.30             e2)
% 184.61/29.30    (104)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 184.61/29.30    (105)   ~ (e3 = e2)
% 184.61/29.30    (106)   ~ (all_52_4 = e2)
% 184.61/29.30    (107)   ~ (all_52_14 = all_14_2)
% 184.61/29.30    (108)   ~ (all_52_2 = all_4_2)
% 184.61/29.30    (109)   ~ (all_52_12 = all_6_2)
% 184.61/29.30    (110)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.61/29.30           | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 184.61/29.30             e3)
% 184.61/29.30    (111)  all_54_2 = all_52_8
% 184.61/29.30    (112)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 184.61/29.30    (113)   ~ (all_14_2 = e2)
% 184.61/29.30    (114)  op(e3, e1) = all_52_8
% 184.61/29.30    (115)   ~ (all_52_4 = all_52_6)
% 184.61/29.30    (116)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 184.61/29.30           | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 184.61/29.30             e2) | ( ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 & $i(all_57_16))
% 184.61/29.30    (117)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 184.61/29.30           | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 184.61/29.30             e2) | ( ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 & $i(all_57_29))
% 184.61/29.30    (118)  op(e3, e3) = all_4_2
% 184.61/29.30    (119)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 184.61/29.30           (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.61/29.30    (120)   ~ (all_52_1 = all_52_3)
% 184.61/29.30    (121)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.61/29.30           (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.61/29.30    (122)  all_54_10 = e1 | all_54_10 = e0
% 184.61/29.30    (123)   ~ (all_52_14 = all_6_2)
% 184.61/29.30    (124)  op(e3, e2) = all_52_4
% 184.61/29.30    (125)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 184.61/29.30           | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 184.61/29.30             e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 & $i(all_57_18))
% 184.61/29.30    (126)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.61/29.30           | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 184.61/29.30             e3)
% 184.61/29.30    (127)   ~ (all_52_4 = all_4_2)
% 184.61/29.30    (128)   ~ (all_52_9 = e3)
% 184.61/29.30    (129)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.61/29.30           (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.61/29.30    (130)  op(e1, e2) = all_52_6
% 184.61/29.30    (131)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 184.61/29.30    (132)   ~ (e2 = e1)
% 184.61/29.30    (133)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.61/29.30           | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 184.61/29.30             e2)
% 184.61/29.30    (134)  all_54_3 = all_52_12
% 184.61/29.30    (135)   ~ (all_52_6 = e3)
% 184.61/29.30    (136)  op(e0, e2) = all_52_7
% 184.61/29.30    (137)   ~ (all_52_9 = e1)
% 184.61/29.30    (138)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 184.61/29.30    (139)   ~ (all_52_1 = all_52_9)
% 184.61/29.30    (140)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) =
% 184.61/29.30                 e0) | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 184.61/29.30                 op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 184.61/29.30               (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 184.61/29.30                 e0)))
% 184.61/29.30    (141)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 184.61/29.30           | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 184.61/29.30             e2) | ( ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 & $i(all_57_26))
% 184.61/29.30    (142)   ~ (all_52_2 = all_52_14)
% 184.61/29.30    (143)   ~ (all_52_3 = all_52_11)
% 184.61/29.30    (144)  all_54_14 = all_52_11
% 184.61/29.30    (145)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 184.61/29.30           | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 184.61/29.30             e3) | ( ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 & $i(all_57_25))
% 184.61/29.30    (146)   ~ (all_52_8 = e1)
% 184.61/29.30    (147)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.61/29.30           (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.61/29.30    (148)   ~ (all_52_7 = all_52_11)
% 184.61/29.30    (149)   ~ (all_52_2 = e1)
% 184.61/29.30    (150)  all_54_1 = all_52_4
% 184.61/29.30    (151)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.61/29.30           (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.61/29.30    (152)  op(e1, e1) = e1
% 184.61/29.30  
% 184.61/29.30  Begin of proof
% 184.61/29.30  | 
% 184.61/29.30  | BETA: splitting (10) gives:
% 184.61/29.30  | 
% 184.61/29.30  | Case 1:
% 184.61/29.30  | | 
% 184.61/29.30  | |   (153)   ~ (all_32_2 = e3)
% 184.61/29.30  | | 
% 184.61/29.30  | | REDUCE: (89), (153) imply:
% 184.61/29.30  | |   (154)   ~ (all_6_2 = e3)
% 184.61/29.30  | | 
% 184.61/29.30  | | BETA: splitting (5) gives:
% 184.61/29.30  | | 
% 184.61/29.30  | | Case 1:
% 184.61/29.30  | | | 
% 184.61/29.30  | | |   (155)  all_54_15 = e3
% 184.61/29.30  | | | 
% 184.61/29.30  | | | COMBINE_EQS: (25), (155) imply:
% 184.61/29.30  | | |   (156)  all_6_2 = e3
% 184.61/29.30  | | | 
% 184.61/29.30  | | | REDUCE: (154), (156) imply:
% 184.61/29.30  | | |   (157)  $false
% 184.61/29.30  | | | 
% 184.61/29.30  | | | CLOSE: (157) is inconsistent.
% 184.61/29.30  | | | 
% 184.61/29.30  | | Case 2:
% 184.61/29.30  | | | 
% 184.61/29.30  | | |   (158)   ~ (all_54_15 = e3)
% 184.61/29.30  | | |   (159)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 184.61/29.30  | | | 
% 184.61/29.30  | | | BETA: splitting (159) gives:
% 184.61/29.30  | | | 
% 184.61/29.30  | | | Case 1:
% 184.61/29.30  | | | | 
% 184.61/29.30  | | | |   (160)  all_54_15 = e2
% 184.61/29.30  | | | | 
% 184.61/29.30  | | | | COMBINE_EQS: (25), (160) imply:
% 184.61/29.30  | | | |   (161)  all_6_2 = e2
% 184.61/29.30  | | | | 
% 184.61/29.30  | | | | REDUCE: (58), (161) imply:
% 184.61/29.30  | | | |   (162)  $false
% 184.61/29.30  | | | | 
% 184.61/29.30  | | | | CLOSE: (162) is inconsistent.
% 184.61/29.30  | | | | 
% 184.61/29.30  | | | Case 2:
% 184.61/29.30  | | | | 
% 184.70/29.30  | | | |   (163)   ~ (all_54_15 = e2)
% 184.70/29.30  | | | |   (164)  all_54_15 = e1 | all_54_15 = e0
% 184.70/29.30  | | | | 
% 184.70/29.30  | | | | BETA: splitting (164) gives:
% 184.70/29.30  | | | | 
% 184.70/29.30  | | | | Case 1:
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | |   (165)  all_54_15 = e1
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | | COMBINE_EQS: (25), (165) imply:
% 184.70/29.30  | | | | |   (166)  all_6_2 = e1
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | | REDUCE: (14), (166) imply:
% 184.70/29.30  | | | | |   (167)  $false
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | | CLOSE: (167) is inconsistent.
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | Case 2:
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | |   (168)  all_54_15 = e0
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | | COMBINE_EQS: (25), (168) imply:
% 184.70/29.30  | | | | |   (169)  all_6_2 = e0
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | | COMBINE_EQS: (83), (169) imply:
% 184.70/29.30  | | | | |   (170)  all_57_31 = e0
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | | REDUCE: (98), (169) imply:
% 184.70/29.30  | | | | |   (171)   ~ (all_52_7 = e0)
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | | REDUCE: (41), (169) imply:
% 184.70/29.30  | | | | |   (172)   ~ (all_52_11 = e0)
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | | REDUCE: (109), (169) imply:
% 184.70/29.30  | | | | |   (173)   ~ (all_52_12 = e0)
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | | REDUCE: (35), (169) imply:
% 184.70/29.30  | | | | |   (174)   ~ (all_52_13 = e0)
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | | REDUCE: (123), (169) imply:
% 184.70/29.30  | | | | |   (175)   ~ (all_52_14 = e0)
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | | REDUCE: (154), (169) imply:
% 184.70/29.30  | | | | |   (176)   ~ (e3 = e0)
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | | REDUCE: (58), (169) imply:
% 184.70/29.30  | | | | |   (177)   ~ (e2 = e0)
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | | REDUCE: (14), (169) imply:
% 184.70/29.30  | | | | |   (178)   ~ (e1 = e0)
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | | REDUCE: (4), (169) imply:
% 184.70/29.30  | | | | |   (179)  op(e0, e0) = e0
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | | BETA: splitting (68) gives:
% 184.70/29.30  | | | | | 
% 184.70/29.30  | | | | | Case 1:
% 184.70/29.30  | | | | | | 
% 184.70/29.30  | | | | | |   (180)  all_54_2 = e3
% 184.70/29.30  | | | | | | 
% 184.70/29.30  | | | | | | COMBINE_EQS: (111), (180) imply:
% 184.70/29.30  | | | | | |   (181)  all_52_8 = e3
% 184.70/29.30  | | | | | | 
% 184.70/29.30  | | | | | | REDUCE: (97), (181) imply:
% 184.70/29.30  | | | | | |   (182)   ~ (all_52_9 = e3)
% 184.70/29.30  | | | | | | 
% 184.70/29.30  | | | | | | REDUCE: (3), (181) imply:
% 184.70/29.30  | | | | | |   (183)   ~ (all_52_11 = e3)
% 184.70/29.30  | | | | | | 
% 184.70/29.30  | | | | | | SIMP: (183) implies:
% 184.70/29.30  | | | | | |   (184)   ~ (all_52_11 = e3)
% 184.70/29.30  | | | | | | 
% 184.70/29.30  | | | | | | REDUCE: (88), (181) imply:
% 184.70/29.30  | | | | | |   (185)   ~ (all_52_12 = e3)
% 184.70/29.30  | | | | | | 
% 184.70/29.30  | | | | | | SIMP: (185) implies:
% 184.70/29.30  | | | | | |   (186)   ~ (all_52_12 = e3)
% 184.70/29.30  | | | | | | 
% 184.70/29.30  | | | | | | BETA: splitting (104) gives:
% 184.70/29.30  | | | | | | 
% 184.70/29.30  | | | | | | Case 1:
% 184.70/29.30  | | | | | | | 
% 184.70/29.30  | | | | | | |   (187)  all_54_3 = e3
% 184.70/29.30  | | | | | | | 
% 184.70/29.30  | | | | | | | COMBINE_EQS: (134), (187) imply:
% 184.70/29.30  | | | | | | |   (188)  all_52_12 = e3
% 184.70/29.30  | | | | | | | 
% 184.70/29.30  | | | | | | | REDUCE: (186), (188) imply:
% 184.70/29.30  | | | | | | |   (189)  $false
% 184.70/29.30  | | | | | | | 
% 184.70/29.30  | | | | | | | CLOSE: (189) is inconsistent.
% 184.70/29.30  | | | | | | | 
% 184.70/29.30  | | | | | | Case 2:
% 184.70/29.30  | | | | | | | 
% 184.70/29.30  | | | | | | |   (190)   ~ (all_54_3 = e3)
% 184.70/29.30  | | | | | | |   (191)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 184.70/29.30  | | | | | | | 
% 184.70/29.30  | | | | | | | BETA: splitting (17) gives:
% 184.70/29.30  | | | | | | | 
% 184.70/29.30  | | | | | | | Case 1:
% 184.70/29.30  | | | | | | | | 
% 184.70/29.30  | | | | | | | |   (192)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 &
% 184.70/29.30  | | | | | | | |            op(e2, e1) = e3)
% 184.70/29.30  | | | | | | | | 
% 184.70/29.30  | | | | | | | | BETA: splitting (192) gives:
% 184.70/29.30  | | | | | | | | 
% 184.70/29.30  | | | | | | | | Case 1:
% 184.70/29.30  | | | | | | | | | 
% 184.70/29.30  | | | | | | | | |   (193)  all_56_4 = e3 & op(e3, e1) = e3
% 184.70/29.30  | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | ALPHA: (193) implies:
% 184.70/29.30  | | | | | | | | |   (194)  all_56_4 = e3
% 184.70/29.30  | | | | | | | | |   (195)  op(e3, e1) = e3
% 184.70/29.30  | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | BETA: splitting (191) gives:
% 184.70/29.30  | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | Case 1:
% 184.70/29.30  | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | |   (196)  all_54_3 = e2
% 184.70/29.30  | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | REF_CLOSE: (26), (134), (196) are inconsistent by sub-proof
% 184.70/29.30  | | | | | | | | | |            #748.
% 184.70/29.30  | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | Case 2:
% 184.70/29.30  | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | |   (197)   ~ (all_54_3 = e2)
% 184.70/29.30  | | | | | | | | | |   (198)  all_54_3 = e1 | all_54_3 = e0
% 184.70/29.30  | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | BETA: splitting (126) gives:
% 184.70/29.30  | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | Case 1:
% 184.70/29.30  | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | |   (199)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 184.70/29.30  | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 184.70/29.30  | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | BETA: splitting (199) gives:
% 184.70/29.30  | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | Case 1:
% 184.70/29.30  | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | |   (200)  all_56_12 = e3 & op(e0, e3) = e3
% 184.70/29.30  | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | ALPHA: (200) implies:
% 184.70/29.30  | | | | | | | | | | | |   (201)  all_56_12 = e3
% 184.70/29.30  | | | | | | | | | | | |   (202)  op(e0, e3) = e3
% 184.70/29.30  | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | BETA: splitting (198) gives:
% 184.70/29.30  | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | Case 1:
% 184.70/29.30  | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | |   (203)  all_54_3 = e1
% 184.70/29.30  | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | COMBINE_EQS: (134), (203) imply:
% 184.70/29.30  | | | | | | | | | | | | |   (204)  all_52_12 = e1
% 184.70/29.30  | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | SIMP: (204) implies:
% 184.70/29.30  | | | | | | | | | | | | |   (205)  all_52_12 = e1
% 184.70/29.30  | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | REDUCE: (53), (205) imply:
% 184.70/29.30  | | | | | | | | | | | | |   (206)   ~ (all_52_13 = e1)
% 184.70/29.30  | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | SIMP: (206) implies:
% 184.70/29.30  | | | | | | | | | | | | |   (207)   ~ (all_52_13 = e1)
% 184.70/29.30  | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | REDUCE: (64), (205) imply:
% 184.70/29.30  | | | | | | | | | | | | |   (208)   ~ (all_52_14 = e1)
% 184.70/29.30  | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | REDUCE: (186), (205) imply:
% 184.70/29.30  | | | | | | | | | | | | |   (209)   ~ (e3 = e1)
% 184.70/29.30  | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | REDUCE: (26), (205) imply:
% 184.70/29.30  | | | | | | | | | | | | |   (210)   ~ (e2 = e1)
% 184.70/29.30  | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | BETA: splitting (42) gives:
% 184.70/29.30  | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | Case 1:
% 184.70/29.30  | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | |   (211)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 184.70/29.30  | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 184.70/29.30  | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 184.70/29.30  | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | | Case 1:
% 184.70/29.30  | | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | | |   (212)  all_56_2 = e1 & op(e2, e3) = e1
% 184.70/29.30  | | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | | | ALPHA: (212) implies:
% 184.70/29.30  | | | | | | | | | | | | | | |   (213)  all_56_2 = e1
% 184.70/29.30  | | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 184.70/29.30  | | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | | | Case 1:
% 184.70/29.30  | | | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | | | |   (214)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 184.70/29.30  | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 184.70/29.30  | | | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 184.70/29.30  | | | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.30  | | | | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | | | | |   (215)  all_56_12 = e1 & op(e0, e3) = e1
% 184.70/29.30  | | | | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | | | | | ALPHA: (215) implies:
% 184.70/29.30  | | | | | | | | | | | | | | | | |   (216)  op(e0, e3) = e1
% 184.70/29.30  | | | | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (20), (30), (55), (62), (72), (76), (99),
% 184.70/29.30  | | | | | | | | | | | | | | | | |            (105), (118), (147), (213), (216) are inconsistent
% 184.70/29.30  | | | | | | | | | | | | | | | | |            by sub-proof #1526.
% 184.70/29.30  | | | | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.30  | | | | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | | | | |   (217)  all_56_13 = e1 & op(e0, e2) = e1
% 184.70/29.30  | | | | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | | | | | ALPHA: (217) implies:
% 184.70/29.30  | | | | | | | | | | | | | | | | |   (218)  all_56_13 = e1
% 184.70/29.30  | | | | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 184.70/29.30  | | | | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.30  | | | | | | | | | | | | | | | | | | 
% 184.70/29.30  | | | | | | | | | | | | | | | | | |   (219)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 184.70/29.30  | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | |   (220)  all_56_9 = e3 & op(e3, e0) = e3
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | ALPHA: (220) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | |   (221)  op(e3, e0) = e3
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (76), (186), (221) are inconsistent by
% 184.70/29.31  | | | | | | | | | | | | | | | | | | |            sub-proof #1615.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | |   (222)  all_56_10 = e3 & op(e2, e0) = e3
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | ALPHA: (222) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | |   (223)  all_56_10 = e3
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | |   (224)  all_54_7 = e3
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (81), (224) are inconsistent by sub-proof
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | |            #797.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | |   (225)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | |   (226)  all_54_7 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (81), (226) imply:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | |   (227)  all_52_13 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | SIMP: (227) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | |   (228)  all_52_13 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | REDUCE: (27), (228) imply:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | |   (229)   ~ (all_52_14 = e2)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | SIMP: (229) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | |   (230)   ~ (all_52_14 = e2)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (63) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | |   (231)  all_54_11 = e3
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (86), (231) imply:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | |   (232)  all_52_14 = e3
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (232) imply:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | |   (233)   ~ (all_52_2 = e3)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | |   (234)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e3)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (76), (130), (135), (233), (234) are
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #284.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | |   (235)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e0) = e3)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_56_8 = e3 & op(e1, e1) = e3
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (236) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | |   (237)  op(e1, e1) = e3
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (55), (76), (152), (237) are inconsistent by
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1541.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | |   (238)  all_56_11 = e3 & op(e1, e0) = e3
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (238) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_56_11 = e3
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  all_56_9 = e2 & op(e3, e0) = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (241) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  all_56_9 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (23), (31), (43), (55), (76), (132),
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (242) are inconsistent by sub-proof #1359.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  all_56_10 = e2 & op(e2, e0) = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (243) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_56_10 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (223), (244) imply:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  e3 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (245) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  e3 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (201), (246) imply:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_56_12 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (20), (30), (46), (55), (57), (62), (76),
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (118), (147), (213), (247) are inconsistent
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1552.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_56_11 = e2 & op(e1, e0) = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (249) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_56_11 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (239), (250) imply:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  e3 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (251) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  e3 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (201), (252) imply:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_56_12 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (20), (30), (46), (55), (57), (62), (76),
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (118), (147), (213), (253) are inconsistent
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1552.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_56_15 = e2 & op(e0, e0) = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (254) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  op(e0, e0) = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (58), (76), (255) are inconsistent by
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1511.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | |   (256)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (86), (175), (230), (256) are inconsistent
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1112.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | |   (257)  all_54_7 = e1 | all_54_7 = e0
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (174), (207), (257) are inconsistent by
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | |            sub-proof #945.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.31  | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | |   (258)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | |   (259)  all_56_11 = e3 & op(e1, e0) = e3
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | ALPHA: (259) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | |   (260)  all_56_11 = e3
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | |   (261)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | BETA: splitting (261) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | |   (262)  all_56_12 = e2 & op(e0, e3) = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | ALPHA: (262) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | |   (263)  all_56_12 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (20), (30), (46), (55), (57), (62), (76),
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | |            (105), (118), (147), (213), (263) are inconsistent
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1552.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | |   (264)  all_56_13 = e2 & op(e0, e2) = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | ALPHA: (264) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | |   (265)  op(e0, e2) = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13), (14), (33), (55), (72), (76), (100),
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | |            (132), (202), (265) are inconsistent by sub-proof
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | |            #275.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | |   (266)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | |   (267)  all_56_14 = e2 & op(e0, e1) = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | ALPHA: (267) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | |   (268)  all_56_14 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | |   (269)  all_54_7 = e3
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (81), (269) are inconsistent by sub-proof
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | |            #797.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | |   (270)   ~ (all_54_7 = e3)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | |   (271)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_54_7 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (81), (272) imply:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_52_13 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (273) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_52_13 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (27), (274) imply:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | |   (275)   ~ (all_52_14 = e2)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (275) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | |   (276)   ~ (all_52_14 = e2)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (274) imply:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | |   (277)   ~ (e3 = e2)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_54_14 = e3
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (144), (184), (278) are inconsistent by sub-proof
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | |            #1259.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (54) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (76), (105), (106), (124), (280) are
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #274.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_56_7 = e2 & op(e1, e2) = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (282) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_56_7 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  all_54_14 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (144), (284) imply:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_52_11 = e2
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (285) imply:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)   ~ (all_52_7 = e2)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_56_6 = e0 & op(e1, e3) = e0
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (288) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  op(e1, e3) = e0
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e0)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_56_4 = e0 & op(e3, e1) = e0
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (291) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  op(e3, e1) = e0
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (76), (114), (195), (292) are inconsistent
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1577.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_56_5 = e0 & op(e2, e1) = e0
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (293) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  op(e2, e1) = e0
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (296) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (297) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  op(e2, e3) = e3
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (65), (70), (76), (298) are inconsistent by
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #286.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (299) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  op(e1, e3) = e3
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (76), (289), (300) are inconsistent by
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1536.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (45), (63), (64), (76), (86), (106), (124),
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (175), (276), (301) are inconsistent by sub-proof
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #273.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (76), (136), (286), (294), (303) are
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #271.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (38), (43), (76), (114), (137), (146),
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (170), (304) are inconsistent by sub-proof #1490.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  all_56_8 = e0 & op(e1, e1) = e0
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (306) implies:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  op(e1, e1) = e0
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (20), (21), (55), (76), (132), (149), (260),
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (283), (307) are inconsistent by sub-proof #1016.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  all_56_14 = e0 & op(e0, e1) = e0
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (268), (308) are inconsistent by sub-proof
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1443.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  all_56_7 = e0 & op(e1, e2) = e0
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (283), (309) are inconsistent by sub-proof
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #270.
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  all_56_8 = e0 & op(e1, e1) = e0
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (311) implies:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  op(e1, e1) = e0
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (20), (21), (55), (76), (132), (149), (260),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (283), (312) are inconsistent by sub-proof #1016.
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_56_11 = e0 & op(e1, e0) = e0
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (313) implies:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  op(e1, e0) = e0
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (76), (175), (314) are inconsistent by
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1318.
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_54_14 = e1 | all_54_14 = e0
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (144), (172), (315) are inconsistent by
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1305.
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_56_13 = e2 & op(e0, e2) = e2
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (316) implies:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  op(e0, e2) = e2
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13), (14), (33), (55), (72), (76), (100),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | |            (132), (202), (317) are inconsistent by sub-proof
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | |            #275.
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_54_7 = e1 | all_54_7 = e0
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (174), (207), (318) are inconsistent by
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #945.
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |   (319)  all_56_15 = e2 & op(e0, e0) = e2
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | ALPHA: (319) implies:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |   (320)  op(e0, e0) = e2
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (58), (76), (320) are inconsistent by
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1511.
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | |   (321)  all_56_15 = e3 & op(e0, e0) = e3
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | ALPHA: (321) implies:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | |   (322)  op(e0, e0) = e3
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (20), (30), (46), (58), (76), (105), (132),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | |            (133), (140), (201), (218), (322) are inconsistent
% 184.70/29.32  | | | | | | | | | | | | | | | | | | |            by sub-proof #269.
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | |   (323)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 184.70/29.32  | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 184.70/29.32  | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13), (14), (33), (76), (323) are
% 184.70/29.32  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1515.
% 184.70/29.32  | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | |   (324)  all_56_3 = e1 & op(e2, e2) = e1
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | ALPHA: (324) implies:
% 184.70/29.32  | | | | | | | | | | | | | | |   (325)  op(e2, e2) = e1
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | REF_CLOSE: (39), (55), (76), (325) are inconsistent by
% 184.70/29.32  | | | | | | | | | | | | | | |            sub-proof #1347.
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | |   (326)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 184.70/29.32  | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | REF_CLOSE: (38), (76), (102), (137), (207), (326) are
% 184.70/29.32  | | | | | | | | | | | | | |            inconsistent by sub-proof #268.
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | |   (327)  all_54_3 = e0
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | REF_CLOSE: (134), (173), (327) are inconsistent by sub-proof
% 184.70/29.32  | | | | | | | | | | | | |            #828.
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | |   (328)  all_56_13 = e3 & op(e0, e2) = e3
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | ALPHA: (328) implies:
% 184.70/29.32  | | | | | | | | | | | |   (329)  all_56_13 = e3
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | BETA: splitting (34) gives:
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | |   (330)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 184.70/29.32  | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | BETA: splitting (330) gives:
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | |   (331)  all_56_0 = e0 & op(e3, e3) = e0
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | ALPHA: (331) implies:
% 184.70/29.32  | | | | | | | | | | | | | |   (332)  op(e3, e3) = e0
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | REF_CLOSE: (12), (76), (118), (332) are inconsistent by
% 184.70/29.32  | | | | | | | | | | | | | |            sub-proof #1624.
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | |   (333)  all_56_1 = e0 & op(e3, e2) = e0
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | ALPHA: (333) implies:
% 184.70/29.32  | | | | | | | | | | | | | |   (334)  all_56_1 = e0
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | |   (335)  all_54_3 = e1
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | COMBINE_EQS: (134), (335) imply:
% 184.70/29.32  | | | | | | | | | | | | | | |   (336)  all_52_12 = e1
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | SIMP: (336) implies:
% 184.70/29.32  | | | | | | | | | | | | | | |   (337)  all_52_12 = e1
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | REDUCE: (53), (337) imply:
% 184.70/29.32  | | | | | | | | | | | | | | |   (338)   ~ (all_52_13 = e1)
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | SIMP: (338) implies:
% 184.70/29.32  | | | | | | | | | | | | | | |   (339)   ~ (all_52_13 = e1)
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | REDUCE: (64), (337) imply:
% 184.70/29.32  | | | | | | | | | | | | | | |   (340)   ~ (all_52_14 = e1)
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | REDUCE: (186), (337) imply:
% 184.70/29.32  | | | | | | | | | | | | | | |   (341)   ~ (e3 = e1)
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | REDUCE: (26), (337) imply:
% 184.70/29.32  | | | | | | | | | | | | | | |   (342)   ~ (e2 = e1)
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | |   (343)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 184.70/29.32  | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 184.70/29.32  | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | BETA: splitting (343) gives:
% 184.70/29.32  | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | |   (344)  all_56_9 = e1 & op(e3, e0) = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | ALPHA: (344) implies:
% 184.70/29.32  | | | | | | | | | | | | | | | | |   (345)  all_56_9 = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 184.70/29.32  | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | |   (346)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 184.70/29.32  | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 184.70/29.32  | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | |   (347)  all_56_12 = e1 & op(e0, e3) = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | ALPHA: (347) implies:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | |   (348)  all_56_12 = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | | |   (349)  op(e0, e3) = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | |   (350)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |   (351)  all_56_2 = e1 & op(e2, e3) = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | ALPHA: (351) implies:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |   (352)  all_56_2 = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (20), (30), (55), (62), (72), (76), (99),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |            (105), (118), (147), (349), (352) are inconsistent
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1526.
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |   (353)  all_56_3 = e1 & op(e2, e2) = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | ALPHA: (353) implies:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |   (354)  op(e2, e2) = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (10), (11),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |            (12), (14), (16), (17), (18), (20), (21), (22),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |            (23), (25), (27), (28), (29), (30), (31), (32),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |            (35), (36), (38), (41), (43), (44), (45), (46),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |            (47), (48), (50), (51), (52), (55), (56), (58),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |            (60), (61), (63), (64), (65), (66), (68), (69),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |            (71), (72), (73), (74), (75), (76), (82), (85),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |            (86), (87), (88), (89), (90), (91), (92), (93),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |            (96), (97), (98), (100), (101), (102), (105),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |            (107), (108), (109), (111), (113), (114), (115),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |            (116), (117), (118), (119), (120), (121), (122),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |            (123), (124), (125), (126), (127), (130), (131),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |            (132), (133), (136), (137), (138), (140), (141),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |            (143), (144), (145), (147), (148), (150), (152),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |            (339), (348), (349), (354) are inconsistent by
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1272.
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | |   (355)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (76), (102), (137), (339), (355) are
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #268.
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | |   (356)  all_56_13 = e1 & op(e0, e2) = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | ALPHA: (356) implies:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | |   (357)  all_56_13 = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (357) imply:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | |   (358)  e3 = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (194), (358) imply:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | |   (359)  all_56_4 = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (55), (57), (76), (94), (105), (334), (345),
% 184.70/29.32  | | | | | | | | | | | | | | | | | | |            (359) are inconsistent by sub-proof #1150.
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | |   (360)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 184.70/29.32  | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 184.70/29.32  | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13), (14), (33), (76), (360) are
% 184.70/29.32  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1515.
% 184.70/29.32  | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | |   (361)  all_56_10 = e1 & op(e2, e0) = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | ALPHA: (361) implies:
% 184.70/29.32  | | | | | | | | | | | | | | | | |   (362)  op(e2, e0) = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | REF_CLOSE: (76), (102), (339), (362) are inconsistent by
% 184.70/29.32  | | | | | | | | | | | | | | | | |            sub-proof #1273.
% 184.70/29.32  | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | |   (363)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 184.70/29.32  | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 184.70/29.32  | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (23), (43), (76), (363) are
% 184.70/29.32  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1488.
% 184.70/29.32  | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | |   (364)  all_54_3 = e0
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | REF_CLOSE: (134), (173), (364) are inconsistent by sub-proof
% 184.70/29.32  | | | | | | | | | | | | | | |            #828.
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | |   (365)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 184.70/29.32  | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | BETA: splitting (365) gives:
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | |   (366)  all_56_4 = e0 & op(e3, e1) = e0
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | ALPHA: (366) implies:
% 184.70/29.32  | | | | | | | | | | | | | |   (367)  op(e3, e1) = e0
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | REF_CLOSE: (30), (76), (114), (195), (367) are inconsistent
% 184.70/29.32  | | | | | | | | | | | | | |            by sub-proof #1577.
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | |   (368)  all_56_9 = e0 & op(e3, e0) = e0
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | ALPHA: (368) implies:
% 184.70/29.32  | | | | | | | | | | | | | |   (369)  all_56_9 = e0
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (20), (23), (31), (43), (53), (76),
% 184.70/29.32  | | | | | | | | | | | | | |            (102), (134), (173), (198), (369) are inconsistent
% 184.70/29.32  | | | | | | | | | | | | | |            by sub-proof #266.
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | |   (370)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 184.70/29.32  | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 184.70/29.32  | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | BETA: splitting (370) gives:
% 184.70/29.32  | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | |   (371)  all_56_14 = e3 & op(e0, e1) = e3
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | ALPHA: (371) implies:
% 184.70/29.32  | | | | | | | | | | | |   (372)  all_56_14 = e3
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | REF_CLOSE: (4), (13), (14), (19), (21), (26), (27), (30),
% 184.70/29.32  | | | | | | | | | | | |            (33), (46), (53), (57), (58), (62), (63), (64),
% 184.70/29.32  | | | | | | | | | | | |            (65), (70), (72), (76), (81), (86), (100), (105),
% 184.70/29.32  | | | | | | | | | | | |            (112), (126), (133), (134), (140), (142), (173),
% 184.70/29.32  | | | | | | | | | | | |            (174), (175), (186), (198), (372) are inconsistent
% 184.70/29.32  | | | | | | | | | | | |            by sub-proof #260.
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | |   (373)  all_56_15 = e3 & op(e0, e0) = e3
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | ALPHA: (373) implies:
% 184.70/29.32  | | | | | | | | | | | |   (374)  op(e0, e0) = e3
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | REF_CLOSE: (30), (76), (179), (374) are inconsistent by
% 184.70/29.32  | | | | | | | | | | | |            sub-proof #1540.
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | |   (375)  all_56_5 = e3 & op(e2, e1) = e3
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | ALPHA: (375) implies:
% 184.70/29.32  | | | | | | | | |   (376)  op(e2, e1) = e3
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | REF_CLOSE: (38), (76), (128), (376) are inconsistent by
% 184.70/29.32  | | | | | | | | |            sub-proof #1449.
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | 
% 184.70/29.32  | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | 
% 184.70/29.32  | | | | | | | |   (377)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 &
% 184.70/29.32  | | | | | | | |            op(e0, e1) = e3)
% 184.70/29.32  | | | | | | | | 
% 184.70/29.32  | | | | | | | | BETA: splitting (377) gives:
% 184.70/29.32  | | | | | | | | 
% 184.70/29.32  | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | |   (378)  all_56_8 = e3 & op(e1, e1) = e3
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | ALPHA: (378) implies:
% 184.70/29.32  | | | | | | | | |   (379)  op(e1, e1) = e3
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | REF_CLOSE: (55), (76), (152), (379) are inconsistent by
% 184.70/29.32  | | | | | | | | |            sub-proof #1541.
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | |   (380)  all_56_14 = e3 & op(e0, e1) = e3
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | ALPHA: (380) implies:
% 184.70/29.32  | | | | | | | | |   (381)  all_56_14 = e3
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | BETA: splitting (191) gives:
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | |   (382)  all_54_3 = e2
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | REF_CLOSE: (26), (134), (382) are inconsistent by sub-proof
% 184.70/29.32  | | | | | | | | | |            #748.
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | |   (383)   ~ (all_54_3 = e2)
% 184.70/29.32  | | | | | | | | | |   (384)  all_54_3 = e1 | all_54_3 = e0
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | REF_CLOSE: (4), (13), (14), (19), (21), (26), (27), (30),
% 184.70/29.32  | | | | | | | | | |            (33), (46), (53), (57), (58), (62), (63), (64),
% 184.70/29.32  | | | | | | | | | |            (65), (70), (72), (76), (81), (86), (100), (105),
% 184.70/29.32  | | | | | | | | | |            (112), (126), (133), (134), (140), (142), (173),
% 184.70/29.32  | | | | | | | | | |            (174), (175), (186), (381), (384) are inconsistent
% 184.70/29.32  | | | | | | | | | |            by sub-proof #260.
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | 
% 184.70/29.32  | | | | | | | End of split
% 184.70/29.32  | | | | | | | 
% 184.70/29.32  | | | | | | End of split
% 184.70/29.32  | | | | | | 
% 184.70/29.32  | | | | | Case 2:
% 184.70/29.32  | | | | | | 
% 184.70/29.32  | | | | | |   (385)   ~ (all_54_2 = e3)
% 184.70/29.32  | | | | | |   (386)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 184.70/29.32  | | | | | | 
% 184.70/29.32  | | | | | | REDUCE: (111), (385) imply:
% 184.70/29.32  | | | | | |   (387)   ~ (all_52_8 = e3)
% 184.70/29.32  | | | | | | 
% 184.70/29.32  | | | | | | BETA: splitting (386) gives:
% 184.70/29.32  | | | | | | 
% 184.70/29.32  | | | | | | Case 1:
% 184.70/29.32  | | | | | | | 
% 184.70/29.32  | | | | | | |   (388)  all_54_2 = e2
% 184.70/29.32  | | | | | | | 
% 184.70/29.32  | | | | | | | COMBINE_EQS: (111), (388) imply:
% 184.70/29.32  | | | | | | |   (389)  all_52_8 = e2
% 184.70/29.32  | | | | | | | 
% 184.70/29.32  | | | | | | | REDUCE: (95), (389) imply:
% 184.70/29.32  | | | | | | |   (390)  $false
% 184.70/29.32  | | | | | | | 
% 184.70/29.32  | | | | | | | CLOSE: (390) is inconsistent.
% 184.70/29.32  | | | | | | | 
% 184.70/29.32  | | | | | | Case 2:
% 184.70/29.32  | | | | | | | 
% 184.70/29.32  | | | | | | |   (391)   ~ (all_54_2 = e2)
% 184.70/29.32  | | | | | | |   (392)  all_54_2 = e1 | all_54_2 = e0
% 184.70/29.32  | | | | | | | 
% 184.70/29.32  | | | | | | | BETA: splitting (17) gives:
% 184.70/29.32  | | | | | | | 
% 184.70/29.32  | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | 
% 184.70/29.32  | | | | | | | |   (393)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 &
% 184.70/29.32  | | | | | | | |            op(e2, e1) = e3)
% 184.70/29.32  | | | | | | | | 
% 184.70/29.32  | | | | | | | | BETA: splitting (393) gives:
% 184.70/29.32  | | | | | | | | 
% 184.70/29.32  | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | |   (394)  all_56_4 = e3 & op(e3, e1) = e3
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | ALPHA: (394) implies:
% 184.70/29.32  | | | | | | | | |   (395)  op(e3, e1) = e3
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | REF_CLOSE: (76), (111), (114), (146), (387), (392), (395) are
% 184.70/29.32  | | | | | | | | |            inconsistent by sub-proof #1478.
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | |   (396)  all_56_5 = e3 & op(e2, e1) = e3
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | ALPHA: (396) implies:
% 184.70/29.32  | | | | | | | | |   (397)  op(e2, e1) = e3
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | REF_CLOSE: (38), (76), (128), (397) are inconsistent by
% 184.70/29.32  | | | | | | | | |            sub-proof #1449.
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | End of split
% 184.70/29.32  | | | | | | | | 
% 184.70/29.32  | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | 
% 184.70/29.32  | | | | | | | |   (398)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 &
% 184.70/29.32  | | | | | | | |            op(e0, e1) = e3)
% 184.70/29.32  | | | | | | | | 
% 184.70/29.32  | | | | | | | | BETA: splitting (398) gives:
% 184.70/29.32  | | | | | | | | 
% 184.70/29.32  | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | |   (399)  all_56_8 = e3 & op(e1, e1) = e3
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | ALPHA: (399) implies:
% 184.70/29.32  | | | | | | | | |   (400)  op(e1, e1) = e3
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | REF_CLOSE: (9), (16), (29), (74), (76), (92), (111), (113),
% 184.70/29.32  | | | | | | | | |            (146), (392), (400) are inconsistent by sub-proof
% 184.70/29.32  | | | | | | | | |            #1446.
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | |   (401)  all_56_14 = e3 & op(e0, e1) = e3
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | ALPHA: (401) implies:
% 184.70/29.32  | | | | | | | | |   (402)  all_56_14 = e3
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | BETA: splitting (392) gives:
% 184.70/29.32  | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | |   (403)  all_54_2 = e1
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | COMBINE_EQS: (111), (403) imply:
% 184.70/29.32  | | | | | | | | | |   (404)  all_52_8 = e1
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | REDUCE: (146), (404) imply:
% 184.70/29.32  | | | | | | | | | |   (405)  $false
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | CLOSE: (405) is inconsistent.
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | |   (406)  all_54_2 = e0
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | COMBINE_EQS: (111), (406) imply:
% 184.70/29.32  | | | | | | | | | |   (407)  all_52_8 = e0
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | REDUCE: (73), (407) imply:
% 184.70/29.32  | | | | | | | | | |   (408)   ~ (all_52_4 = e0)
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | REDUCE: (97), (407) imply:
% 184.70/29.32  | | | | | | | | | |   (409)   ~ (all_52_9 = e0)
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | SIMP: (409) implies:
% 184.70/29.32  | | | | | | | | | |   (410)   ~ (all_52_9 = e0)
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | REDUCE: (88), (407) imply:
% 184.70/29.32  | | | | | | | | | |   (411)   ~ (all_52_12 = e0)
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | REDUCE: (114), (407) imply:
% 184.70/29.32  | | | | | | | | | |   (412)  op(e3, e1) = e0
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | BETA: splitting (78) gives:
% 184.70/29.32  | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | |   (413)  all_54_6 = e3
% 184.70/29.32  | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | REF_CLOSE: (2), (128), (413) are inconsistent by sub-proof
% 184.70/29.32  | | | | | | | | | | |            #1242.
% 184.70/29.32  | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | |   (414)   ~ (all_54_6 = e3)
% 184.70/29.32  | | | | | | | | | | |   (415)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 184.70/29.32  | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | BETA: splitting (94) gives:
% 184.70/29.32  | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | |   (416)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 184.70/29.32  | | | | | | | | | | | |            & op(e3, e2) = e3)
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | REF_CLOSE: (24), (57), (76), (105), (124), (416) are
% 184.70/29.32  | | | | | | | | | | | |            inconsistent by sub-proof #259.
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | |   (417)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 184.70/29.32  | | | | | | | | | | | |            & op(e3, e0) = e3)
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | BETA: splitting (417) gives:
% 184.70/29.32  | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | |   (418)  all_56_4 = e3 & op(e3, e1) = e3
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | ALPHA: (418) implies:
% 184.70/29.32  | | | | | | | | | | | | |   (419)  op(e3, e1) = e3
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | REF_CLOSE: (30), (76), (114), (412), (419) are inconsistent
% 184.70/29.32  | | | | | | | | | | | | |            by sub-proof #1577.
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | |   (420)  all_56_9 = e3 & op(e3, e0) = e3
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | ALPHA: (420) implies:
% 184.70/29.32  | | | | | | | | | | | | |   (421)  all_56_9 = e3
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | BETA: splitting (133) gives:
% 184.70/29.32  | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | |   (422)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 184.70/29.32  | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | BETA: splitting (422) gives:
% 184.70/29.32  | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | |   (423)  all_56_12 = e2 & op(e0, e3) = e2
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | REF_CLOSE: (12), (20), (30), (37), (46), (55), (57), (62),
% 184.70/29.32  | | | | | | | | | | | | | | |            (76), (105), (118), (132), (147), (423) are
% 184.70/29.32  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1544.
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | |   (424)  all_56_13 = e2 & op(e0, e2) = e2
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | ALPHA: (424) implies:
% 184.70/29.32  | | | | | | | | | | | | | | |   (425)  all_56_13 = e2
% 184.70/29.32  | | | | | | | | | | | | | | |   (426)  op(e0, e2) = e2
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | BETA: splitting (415) gives:
% 184.70/29.32  | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | |   (427)  all_54_6 = e2
% 184.70/29.32  | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (427) imply:
% 184.70/29.32  | | | | | | | | | | | | | | | |   (428)  all_52_9 = e2
% 184.70/29.32  | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | REDUCE: (59), (428) imply:
% 184.70/29.32  | | | | | | | | | | | | | | | |   (429)   ~ (all_52_13 = e2)
% 184.70/29.32  | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | SIMP: (429) implies:
% 184.70/29.32  | | | | | | | | | | | | | | | |   (430)   ~ (all_52_13 = e2)
% 184.70/29.32  | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | REDUCE: (128), (428) imply:
% 184.70/29.32  | | | | | | | | | | | | | | | |   (431)   ~ (e3 = e2)
% 184.70/29.32  | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 184.70/29.32  | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | |   (432)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 184.70/29.32  | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 184.70/29.32  | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | BETA: splitting (432) gives:
% 184.70/29.32  | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | |   (433)  all_56_12 = e1 & op(e0, e3) = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | ALPHA: (433) implies:
% 184.70/29.32  | | | | | | | | | | | | | | | | | |   (434)  op(e0, e3) = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | |   (435)  all_54_1 = e3
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (150), (435) imply:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | |   (436)  all_52_4 = e3
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | REDUCE: (24), (436) imply:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | |   (437)  $false
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | CLOSE: (437) is inconsistent.
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | |   (438)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | BETA: splitting (438) gives:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | |   (439)  all_54_1 = e2
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (106), (150), (439) are inconsistent by sub-proof
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | |            #1338.
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | |   (440)   ~ (all_54_1 = e2)
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | |   (441)  all_54_1 = e1 | all_54_1 = e0
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | BETA: splitting (441) gives:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |   (442)  all_54_1 = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (150), (442) imply:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |   (443)  all_52_4 = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | SIMP: (443) implies:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |   (444)  all_52_4 = e1
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (444) imply:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |   (445)   ~ (all_52_7 = e1)
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | SIMP: (445) implies:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |   (446)   ~ (all_52_7 = e1)
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (444) imply:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |   (447)   ~ (all_52_12 = e1)
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | SIMP: (447) implies:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |   (448)   ~ (all_52_12 = e1)
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (444) imply:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | |   (449)   ~ (e2 = e1)
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | |   (450)  all_54_7 = e3
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (81), (450) are inconsistent by sub-proof
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | |            #797.
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | |   (451)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | |   (452)  all_54_13 = e3
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (51), (452) imply:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | |   (453)  all_52_7 = e3
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (453) imply:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | |   (454)  $false
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (454) is inconsistent.
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | |   (455)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | |   (456)  all_54_3 = e3
% 184.70/29.32  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (134), (456) imply:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | |   (457)  all_52_12 = e3
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (457) implies:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | |   (458)  all_52_12 = e3
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (458) imply:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | |   (459)   ~ (all_52_14 = e3)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (459) implies:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | |   (460)   ~ (all_52_14 = e3)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (461)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e3)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (461) gives:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (462)  all_56_6 = e3 & op(e1, e3) = e3
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (462) implies:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (463)  op(e1, e3) = e3
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (464)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e0)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (464) gives:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (465)  all_56_0 = e0 & op(e3, e3) = e0
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (465) implies:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (466)  op(e3, e3) = e0
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (76), (118), (466) are inconsistent by
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1624.
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (467)  all_56_2 = e0 & op(e2, e3) = e0
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (467) implies:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (468)  op(e2, e3) = e0
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (455) gives:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (469)  all_54_13 = e2
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (51), (469) imply:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (470)  all_52_7 = e2
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (470) implies:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (471)  all_52_7 = e2
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (471) imply:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (472)   ~ (all_52_6 = e2)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (451) gives:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (473)  all_54_7 = e2
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (430), (473) are inconsistent by sub-proof
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #795.
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (474)   ~ (all_54_7 = e2)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (475)  all_54_7 = e1 | all_54_7 = e0
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (476)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (476) gives:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (477)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (76), (114), (412), (468), (477) are
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #619.
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (478)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (478) gives:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (479)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_17) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (479) implies:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (480)  op(e0, e3) = e3
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (55), (72), (76), (434), (480) are inconsistent by
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1529.
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (481)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21) = all_57_7 & op(e2, all_57_29) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (481) implies:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (482)  op(e2, e3) = e2
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (49), (65), (66), (70), (76), (79), (81),
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (174), (475), (482) are inconsistent by sub-proof
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #258.
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (483)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (483) gives:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (484)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (76), (102), (130), (430), (472), (484) are
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #257.
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (485)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (485) gives:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (486)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (486) implies:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (487)  op(e3, e1) = e1
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (76), (412), (487) are inconsistent by
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1571.
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (488)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (488) gives:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (489)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (489) implies:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (490)  op(e2, e1) = e1
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (59), (76), (81), (174), (475), (490) are
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #794.
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (491)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0))))
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (23), (43), (76), (102), (174), (175),
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (434), (491) are inconsistent by sub-proof #1315.
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (492)  all_54_13 = e1 | all_54_13 = e0
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (171), (446), (492) are inconsistent by
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1311.
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (493)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (493) gives:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (494)  all_56_6 = e0 & op(e1, e3) = e0
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (494) implies:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (495)  op(e1, e3) = e0
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (76), (463), (495) are inconsistent by
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1536.
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (496)  all_56_12 = e0 & op(e0, e3) = e0
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (496) implies:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (497)  all_56_12 = e0
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (498)  op(e0, e3) = e0
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (20), (30), (46), (55), (58), (76),
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (100), (105), (126), (132), (133), (179), (425),
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (497), (498) are inconsistent by sub-proof #928.
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (499)  all_56_7 = e3 & op(e1, e2) = e3
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (76), (130), (135), (499) are inconsistent by
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #990.
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (500)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e0) = e3)
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (23), (30), (38), (46), (55), (76), (77),
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (119), (132), (151), (402), (410), (460),
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | |            (500) are inconsistent by sub-proof #256.
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | |   (501)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (134), (173), (448), (501) are inconsistent
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #826.
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | |   (502)  all_54_1 = e0
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (150), (408), (502) are inconsistent by sub-proof
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | |            #911.
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | |   (503)  all_56_13 = e1 & op(e0, e2) = e1
% 184.70/29.33  | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | ALPHA: (503) implies:
% 184.70/29.33  | | | | | | | | | | | | | | | | | |   (504)  op(e0, e2) = e1
% 184.70/29.33  | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | | REF_CLOSE: (76), (132), (426), (504) are inconsistent by
% 184.70/29.33  | | | | | | | | | | | | | | | | | |            sub-proof #279.
% 184.70/29.33  | | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | |   (505)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 184.70/29.33  | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 184.70/29.33  | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (17), (20), (30), (38), (46), (55),
% 184.70/29.33  | | | | | | | | | | | | | | | | |            (76), (77), (105), (119), (132), (152), (410),
% 184.70/29.33  | | | | | | | | | | | | | | | | |            (505) are inconsistent by sub-proof #595.
% 184.70/29.33  | | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | |   (506)  all_54_6 = e1 | all_54_6 = e0
% 184.70/29.33  | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | | REF_CLOSE: (2), (137), (410), (506) are inconsistent by
% 184.70/29.33  | | | | | | | | | | | | | | | |            sub-proof #255.
% 184.70/29.33  | | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | |   (507)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 184.70/29.33  | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 184.70/29.33  | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | BETA: splitting (507) gives:
% 184.70/29.33  | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | Case 1:
% 184.70/29.33  | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | |   (508)  all_56_14 = e2 & op(e0, e1) = e2
% 184.70/29.33  | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | ALPHA: (508) implies:
% 184.70/29.33  | | | | | | | | | | | | | | |   (509)  all_56_14 = e2
% 184.70/29.33  | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | COMBINE_EQS: (402), (509) imply:
% 184.70/29.33  | | | | | | | | | | | | | | |   (510)  e3 = e2
% 184.70/29.33  | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | COMBINE_EQS: (421), (510) imply:
% 184.70/29.33  | | | | | | | | | | | | | | |   (511)  all_56_9 = e2
% 184.70/29.33  | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | REF_CLOSE: (12), (17), (20), (30), (34), (38), (46), (55),
% 184.70/29.33  | | | | | | | | | | | | | | |            (57), (76), (77), (84), (94), (105), (114), (118),
% 184.70/29.33  | | | | | | | | | | | | | | |            (119), (124), (132), (152), (408), (410), (511)
% 184.70/29.33  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #459.
% 184.70/29.33  | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | Case 2:
% 184.70/29.33  | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | |   (512)  all_56_15 = e2 & op(e0, e0) = e2
% 184.70/29.33  | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | ALPHA: (512) implies:
% 184.70/29.33  | | | | | | | | | | | | | | |   (513)  op(e0, e0) = e2
% 184.70/29.33  | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | | REF_CLOSE: (4), (58), (76), (513) are inconsistent by
% 184.70/29.33  | | | | | | | | | | | | | | |            sub-proof #1511.
% 184.70/29.33  | | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | | 
% 184.70/29.33  | | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | | 
% 184.70/29.33  | | | | | | | | End of split
% 184.70/29.33  | | | | | | | | 
% 184.70/29.33  | | | | | | | End of split
% 184.70/29.33  | | | | | | | 
% 184.70/29.33  | | | | | | End of split
% 184.70/29.33  | | | | | | 
% 184.70/29.33  | | | | | End of split
% 184.70/29.33  | | | | | 
% 184.70/29.33  | | | | End of split
% 184.70/29.33  | | | | 
% 184.70/29.33  | | | End of split
% 184.70/29.33  | | | 
% 184.70/29.33  | | End of split
% 184.70/29.33  | | 
% 184.70/29.33  | Case 2:
% 184.70/29.33  | | 
% 184.70/29.33  | |   (514)  all_32_2 = e3
% 184.70/29.34  | |   (515)  ( ~ (all_32_0 = e2) & op(e3, e3) = all_32_0 & $i(all_32_0)) | ( ~
% 184.70/29.34  | |            (all_32_1 = e1) & op(e3, e0) = all_32_1 & $i(all_32_1))
% 184.70/29.34  | | 
% 184.70/29.34  | | COMBINE_EQS: (89), (514) imply:
% 184.70/29.34  | |   (516)  all_6_2 = e3
% 184.70/29.34  | | 
% 184.70/29.34  | | SIMP: (516) implies:
% 184.70/29.34  | |   (517)  all_6_2 = e3
% 184.70/29.34  | | 
% 184.70/29.34  | | REDUCE: (109), (517) imply:
% 184.70/29.34  | |   (518)   ~ (all_52_12 = e3)
% 184.70/29.34  | | 
% 184.70/29.34  | | REDUCE: (123), (517) imply:
% 184.70/29.34  | |   (519)   ~ (all_52_14 = e3)
% 184.70/29.34  | | 
% 184.70/29.34  | | REDUCE: (4), (517) imply:
% 184.70/29.34  | |   (520)  op(e0, e0) = e3
% 184.70/29.34  | | 
% 184.70/29.34  | | BETA: splitting (129) gives:
% 184.70/29.34  | | 
% 184.70/29.34  | | Case 1:
% 184.70/29.34  | | | 
% 184.70/29.34  | | |   (521)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 184.70/29.34  | | |            e3)
% 184.70/29.34  | | | 
% 184.70/29.34  | | | BETA: splitting (521) gives:
% 184.70/29.34  | | | 
% 184.70/29.34  | | | Case 1:
% 184.70/29.34  | | | | 
% 184.70/29.34  | | | |   (522)  all_56_6 = e3 & op(e1, e3) = e3
% 184.70/29.34  | | | | 
% 184.70/29.34  | | | | ALPHA: (522) implies:
% 184.70/29.34  | | | |   (523)  op(e1, e3) = e3
% 184.70/29.34  | | | | 
% 184.70/29.34  | | | | BETA: splitting (515) gives:
% 184.70/29.34  | | | | 
% 184.70/29.34  | | | | Case 1:
% 184.70/29.34  | | | | | 
% 184.70/29.34  | | | | |   (524)   ~ (all_32_0 = e2) & op(e3, e3) = all_32_0 & $i(all_32_0)
% 184.70/29.34  | | | | | 
% 184.70/29.34  | | | | | REF_CLOSE: (57), (76), (524) are inconsistent by sub-proof #1436.
% 184.70/29.34  | | | | | 
% 184.70/29.34  | | | | Case 2:
% 184.70/29.34  | | | | | 
% 184.70/29.34  | | | | |   (525)   ~ (all_32_1 = e1) & op(e3, e0) = all_32_1 & $i(all_32_1)
% 184.70/29.34  | | | | | 
% 184.70/29.34  | | | | | ALPHA: (525) implies:
% 184.70/29.34  | | | | |   (526)   ~ (all_32_1 = e1)
% 184.70/29.34  | | | | |   (527)  op(e3, e0) = all_32_1
% 184.70/29.34  | | | | | 
% 184.70/29.34  | | | | | BETA: splitting (17) gives:
% 184.70/29.34  | | | | | 
% 184.70/29.34  | | | | | Case 1:
% 184.70/29.34  | | | | | | 
% 184.70/29.34  | | | | | |   (528)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2,
% 184.70/29.34  | | | | | |              e1) = e3)
% 184.70/29.34  | | | | | | 
% 184.70/29.34  | | | | | | BETA: splitting (528) gives:
% 184.70/29.34  | | | | | | 
% 184.70/29.34  | | | | | | Case 1:
% 184.70/29.34  | | | | | | | 
% 184.70/29.34  | | | | | | |   (529)  all_56_4 = e3 & op(e3, e1) = e3
% 184.70/29.34  | | | | | | | 
% 184.70/29.34  | | | | | | | ALPHA: (529) implies:
% 184.70/29.34  | | | | | | |   (530)  op(e3, e1) = e3
% 184.70/29.34  | | | | | | | 
% 184.70/29.34  | | | | | | | BETA: splitting (80) gives:
% 184.70/29.34  | | | | | | | 
% 184.70/29.34  | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | 
% 184.70/29.34  | | | | | | | |   (531)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 &
% 184.70/29.34  | | | | | | | |            op(e2, e2) = e0)
% 184.70/29.34  | | | | | | | | 
% 184.70/29.34  | | | | | | | | REF_CLOSE: (12), (30), (39), (76), (118), (531) are inconsistent
% 184.70/29.34  | | | | | | | |            by sub-proof #285.
% 184.70/29.34  | | | | | | | | 
% 184.70/29.34  | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | 
% 184.70/29.34  | | | | | | | |   (532)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 &
% 184.70/29.34  | | | | | | | |            op(e0, e0) = e0) | ( ~ (all_57_24 = e1) & op(e1, e0)
% 184.70/29.34  | | | | | | | |            = all_57_24 & $i(all_57_24))
% 184.70/29.34  | | | | | | | | 
% 184.70/29.34  | | | | | | | | BETA: splitting (532) gives:
% 184.70/29.34  | | | | | | | | 
% 184.70/29.34  | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | 
% 184.70/29.34  | | | | | | | | |   (533)  all_57_30 = e0 & op(e1, e1) = e0
% 184.70/29.34  | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | ALPHA: (533) implies:
% 184.70/29.34  | | | | | | | | |   (534)  op(e1, e1) = e0
% 184.70/29.34  | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | REF_CLOSE: (20), (76), (152), (534) are inconsistent by
% 184.70/29.34  | | | | | | | | |            sub-proof #1619.
% 184.70/29.34  | | | | | | | | | 
% 184.70/29.34  | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | 
% 184.70/29.34  | | | | | | | | |   (535)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~ (all_57_24 =
% 184.70/29.34  | | | | | | | | |              e1) & op(e1, e0) = all_57_24 & $i(all_57_24))
% 184.70/29.34  | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | BETA: splitting (535) gives:
% 184.70/29.34  | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | |   (536)  all_57_31 = e0 & op(e0, e0) = e0
% 184.70/29.34  | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | ALPHA: (536) implies:
% 184.70/29.34  | | | | | | | | | |   (537)  op(e0, e0) = e0
% 184.70/29.34  | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | REF_CLOSE: (30), (76), (520), (537) are inconsistent by
% 184.70/29.34  | | | | | | | | | |            sub-proof #1540.
% 184.70/29.34  | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | |   (538)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 184.70/29.34  | | | | | | | | | |          $i(all_57_24)
% 184.70/29.34  | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | ALPHA: (538) implies:
% 184.70/29.34  | | | | | | | | | |   (539)   ~ (all_57_24 = e1)
% 184.70/29.34  | | | | | | | | | |   (540)  op(e1, e0) = all_57_24
% 184.70/29.34  | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | BETA: splitting (125) gives:
% 184.70/29.34  | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | |   (541)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 184.70/29.34  | | | | | | | | | | |            e0 & op(e2, e2) = e0)
% 184.70/29.34  | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | REF_CLOSE: (12), (30), (39), (76), (118), (541) are
% 184.70/29.34  | | | | | | | | | | |            inconsistent by sub-proof #285.
% 184.70/29.34  | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | |   (542)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 184.70/29.34  | | | | | | | | | | |            e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 184.70/29.34  | | | | | | | | | | |            op(e3, e0) = all_57_18 & $i(all_57_18))
% 184.70/29.34  | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | BETA: splitting (542) gives:
% 184.70/29.34  | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | |   (543)  all_57_30 = e0 & op(e1, e1) = e0
% 184.70/29.34  | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | ALPHA: (543) implies:
% 184.70/29.34  | | | | | | | | | | | |   (544)  op(e1, e1) = e0
% 184.70/29.34  | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | REF_CLOSE: (20), (76), (152), (544) are inconsistent by
% 184.70/29.34  | | | | | | | | | | | |            sub-proof #1619.
% 184.70/29.34  | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | |   (545)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 184.70/29.34  | | | | | | | | | | | |            (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 184.70/29.34  | | | | | | | | | | | |            $i(all_57_18))
% 184.70/29.34  | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | BETA: splitting (545) gives:
% 184.70/29.34  | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | |   (546)  all_57_31 = e0 & op(e0, e0) = e0
% 184.70/29.34  | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | ALPHA: (546) implies:
% 184.70/29.34  | | | | | | | | | | | | |   (547)  op(e0, e0) = e0
% 184.70/29.34  | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | REF_CLOSE: (30), (76), (520), (547) are inconsistent by
% 184.70/29.34  | | | | | | | | | | | | |            sub-proof #1540.
% 184.70/29.34  | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | |   (548)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 184.70/29.34  | | | | | | | | | | | | |          $i(all_57_18)
% 184.70/29.34  | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | ALPHA: (548) implies:
% 184.70/29.34  | | | | | | | | | | | | |   (549)  op(e3, e0) = all_57_18
% 184.70/29.34  | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | BETA: splitting (91) gives:
% 184.70/29.34  | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | |   (550)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 184.70/29.34  | | | | | | | | | | | | | |            e0 & op(e2, e2) = e0)
% 184.70/29.34  | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | REF_CLOSE: (12), (30), (39), (76), (118), (550) are
% 184.70/29.34  | | | | | | | | | | | | | |            inconsistent by sub-proof #285.
% 184.70/29.34  | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | |   (551)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 184.70/29.34  | | | | | | | | | | | | | |            e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 184.70/29.34  | | | | | | | | | | | | | |            op(e2, e0) = all_57_21 & $i(all_57_21))
% 184.70/29.34  | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | BETA: splitting (551) gives:
% 184.70/29.34  | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | |   (552)  all_57_30 = e0 & op(e1, e1) = e0
% 184.70/29.34  | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | ALPHA: (552) implies:
% 184.70/29.34  | | | | | | | | | | | | | | |   (553)  op(e1, e1) = e0
% 184.70/29.34  | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | REF_CLOSE: (20), (76), (152), (553) are inconsistent by
% 184.70/29.34  | | | | | | | | | | | | | | |            sub-proof #1619.
% 184.70/29.34  | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | |   (554)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 184.70/29.34  | | | | | | | | | | | | | | |            (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 184.70/29.34  | | | | | | | | | | | | | | |            $i(all_57_21))
% 184.70/29.34  | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | BETA: splitting (554) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | |   (555)  all_57_31 = e0 & op(e0, e0) = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | ALPHA: (555) implies:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (556)  op(e0, e0) = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | REF_CLOSE: (30), (76), (520), (556) are inconsistent by
% 184.70/29.34  | | | | | | | | | | | | | | | |            sub-proof #1540.
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | |   (557)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 184.70/29.34  | | | | | | | | | | | | | | | |          $i(all_57_21)
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | ALPHA: (557) implies:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (558)   ~ (all_57_21 = e2)
% 184.70/29.34  | | | | | | | | | | | | | | | |   (559)  op(e2, e0) = all_57_21
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (76) with all_52_14, all_57_24, e0,
% 184.70/29.34  | | | | | | | | | | | | | | | |              e1, simplifying with (23), (540) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (560)  all_57_24 = all_52_14
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (76) with all_52_2, e3, e3, e1,
% 184.70/29.34  | | | | | | | | | | | | | | | |              simplifying with (21), (523) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (561)  all_52_2 = e3
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (76) with all_52_13, all_57_21, e0,
% 184.70/29.34  | | | | | | | | | | | | | | | |              e2, simplifying with (102), (559) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (562)  all_57_21 = all_52_13
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (76) with all_52_12, all_57_18, e0,
% 184.70/29.34  | | | | | | | | | | | | | | | |              e3, simplifying with (45), (549) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (563)  all_57_18 = all_52_12
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (76) with all_32_1, all_57_18, e0,
% 184.70/29.34  | | | | | | | | | | | | | | | |              e3, simplifying with (527), (549) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (564)  all_57_18 = all_32_1
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (76) with all_52_8, e3, e1, e3,
% 184.70/29.34  | | | | | | | | | | | | | | | |              simplifying with (114), (530) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (565)  all_52_8 = e3
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | COMBINE_EQS: (563), (564) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (566)  all_52_12 = all_32_1
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | SIMP: (566) implies:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (567)  all_52_12 = all_32_1
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | COMBINE_EQS: (134), (567) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (568)  all_54_3 = all_32_1
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | REDUCE: (558), (562) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (569)   ~ (all_52_13 = e2)
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | REDUCE: (142), (561) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (570)   ~ (all_52_14 = e3)
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | REDUCE: (53), (567) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (571)   ~ (all_52_13 = all_32_1)
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | SIMP: (571) implies:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (572)   ~ (all_52_13 = all_32_1)
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | REDUCE: (64), (567) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (573)   ~ (all_52_14 = all_32_1)
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | SIMP: (573) implies:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (574)   ~ (all_52_14 = all_32_1)
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | REDUCE: (518), (567) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (575)   ~ (all_32_1 = e3)
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | REDUCE: (26), (567) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | |   (576)   ~ (all_32_1 = e2)
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | BETA: splitting (90) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | |   (577)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 184.70/29.34  | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 184.70/29.34  | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | BETA: splitting (577) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | |   (578)  all_56_2 = e2 & op(e2, e3) = e2
% 184.70/29.34  | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | ALPHA: (578) implies:
% 184.70/29.34  | | | | | | | | | | | | | | | | | |   (579)  op(e2, e3) = e2
% 184.70/29.34  | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | |   (580)  all_54_3 = e3
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (580) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | |   (581)  all_32_1 = e3
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | REDUCE: (575), (581) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | |   (582)  $false
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | CLOSE: (582) is inconsistent.
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | |   (583)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | BETA: splitting (583) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | |   (584)  all_54_3 = e2
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (576), (584) are inconsistent by sub-proof
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | |            #1435.
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | |   (585)  all_54_3 = e1 | all_54_3 = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | BETA: splitting (585) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | |   (586)  all_54_3 = e1
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (526), (568), (586) are inconsistent by sub-proof
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | |            #1434.
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | |   (587)  all_54_3 = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (587) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | |   (588)  all_32_1 = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | SIMP: (588) implies:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | |   (589)  all_32_1 = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (589) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | |   (590)   ~ (all_52_13 = e0)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | |   (591)  all_54_7 = e3
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (81), (591) are inconsistent by sub-proof
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | |            #797.
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | |   (592)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (592) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (593)  all_54_7 = e2
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (569), (593) are inconsistent by sub-proof
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | |            #795.
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (594)  all_54_7 = e1 | all_54_7 = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (49), (65), (66), (70), (76), (79), (81),
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | |            (579), (590), (594) are inconsistent by sub-proof
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | |            #258.
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.34  | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | |   (595)  all_56_3 = e2 & op(e2, e2) = e2
% 184.70/29.34  | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | ALPHA: (595) implies:
% 184.70/29.34  | | | | | | | | | | | | | | | | | |   (596)  op(e2, e2) = e2
% 184.70/29.34  | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (76), (105), (596) are inconsistent by
% 184.70/29.34  | | | | | | | | | | | | | | | | | |            sub-proof #1602.
% 184.70/29.34  | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | End of split
% 184.70/29.34  | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | |   (597)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 184.70/29.34  | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 184.70/29.34  | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | BETA: splitting (597) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | |   (598)  all_56_5 = e2 & op(e2, e1) = e2
% 184.70/29.34  | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | ALPHA: (598) implies:
% 184.70/29.34  | | | | | | | | | | | | | | | | | |   (599)  all_56_5 = e2
% 184.70/29.34  | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | |   (600)  all_54_3 = e3
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (600) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | |   (601)  all_32_1 = e3
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | REDUCE: (575), (601) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | |   (602)  $false
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | CLOSE: (602) is inconsistent.
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | |   (603)   ~ (all_54_3 = e3)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | |   (604)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | BETA: splitting (604) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | |   (605)  all_54_3 = e2
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (568), (576), (605) are inconsistent by sub-proof
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | |            #1435.
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | |   (606)  all_54_3 = e1 | all_54_3 = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | BETA: splitting (48) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | |   (607)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e0)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (607) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | |   (608)  all_56_2 = e0 & op(e2, e3) = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (608) implies:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | |   (609)  all_56_2 = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | |   (610)  op(e2, e3) = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (37) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (611)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (57), (76), (132), (609), (611) are
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #470.
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | |   (612)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (612) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | |   (613)  all_56_6 = e1 & op(e1, e3) = e1
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (613) implies:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | |   (614)  op(e1, e3) = e1
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (76), (149), (614) are inconsistent by
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1597.
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | |   (615)  all_56_12 = e1 & op(e0, e3) = e1
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (615) implies:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | |   (616)  op(e0, e3) = e1
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (606) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | |   (617)  all_54_3 = e1
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (526), (568), (617) are inconsistent by sub-proof
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | |            #1434.
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | |   (618)  all_54_3 = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (568), (618) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | |   (619)  all_32_1 = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (619) implies:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | |   (620)  all_32_1 = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (620) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | |   (621)  all_57_18 = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (620) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | |   (622)   ~ (all_52_13 = e0)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (620) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | |   (623)   ~ (all_52_14 = e0)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (620) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | |   (624)   ~ (e3 = e0)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (526), (620) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | |   (625)   ~ (e1 = e0)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (63) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | |   (626)  all_54_11 = e3
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (86), (519), (626) are inconsistent by sub-proof
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1336.
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | |   (627)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (627) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (628)  all_54_11 = e2
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (86), (628) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (629)  all_52_14 = e2
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (629) implies:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (630)  all_52_14 = e2
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (630) imply:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (631)   ~ (all_52_6 = e2)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (632)  all_54_7 = e3
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (81), (632) are inconsistent by sub-proof
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #797.
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (633)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (634)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (634) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (635)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (635) gives:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (636)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (636) implies:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (637)  op(e2, e3) = e3
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (76), (610), (637) are inconsistent by
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1596.
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (638)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (638) implies:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (639)   ~ (all_57_3 = e0)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (640)  op(e3, all_57_18) = all_57_3
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (76), (549), (621), (639), (640) are inconsistent
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #796.
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (641)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (55), (72), (76), (610), (616), (641) are
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #278.
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (642)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (642) gives:
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (643)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (76), (102), (130), (569), (631), (643) are
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #257.
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (644)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (644) gives:
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (645)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (645) implies:
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (646)  op(e3, e1) = e1
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (76), (114), (146), (646) are inconsistent by
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1611.
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.70/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (647)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (647) gives:
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (648)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (59), (76), (81), (569), (622), (633), (648)
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #793.
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (649)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0))))
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (23), (43), (76), (102), (616), (622),
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (623), (649) are inconsistent by sub-proof #1315.
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (650)  all_54_11 = e1 | all_54_11 = e0
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (86), (623), (650) are inconsistent by
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1113.
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | |   (651)  all_56_3 = e0 & op(e2, e2) = e0
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (651) implies:
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | |   (652)  op(e2, e2) = e0
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (39), (76), (652) are inconsistent by
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1015.
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | |   (653)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e0) = e0)
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (653) gives:
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | |   (654)  all_56_5 = e0 & op(e2, e1) = e0
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (654) implies:
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | |   (655)  all_56_5 = e0
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (599), (655) are inconsistent by sub-proof
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | |            #1276.
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | |   (656)  all_56_10 = e0 & op(e2, e0) = e0
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (656) implies:
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | |   (657)  op(e2, e0) = e0
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (76), (102), (526), (568), (572), (606), (657) are
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1419.
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.35  | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | |   (658)  all_56_10 = e2 & op(e2, e0) = e2
% 184.75/29.35  | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | ALPHA: (658) implies:
% 184.75/29.35  | | | | | | | | | | | | | | | | | |   (659)  op(e2, e0) = e2
% 184.75/29.35  | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | | REF_CLOSE: (76), (102), (569), (659) are inconsistent by
% 184.75/29.35  | | | | | | | | | | | | | | | | | |            sub-proof #1562.
% 184.75/29.35  | | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | | 
% 184.75/29.35  | | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | | 
% 184.75/29.35  | | | | | | | | End of split
% 184.75/29.35  | | | | | | | | 
% 184.75/29.35  | | | | | | | End of split
% 184.75/29.35  | | | | | | | 
% 184.75/29.35  | | | | | | Case 2:
% 184.75/29.35  | | | | | | | 
% 184.75/29.35  | | | | | | |   (660)  all_56_5 = e3 & op(e2, e1) = e3
% 184.75/29.35  | | | | | | | 
% 184.75/29.35  | | | | | | | ALPHA: (660) implies:
% 184.75/29.35  | | | | | | |   (661)  op(e2, e1) = e3
% 184.75/29.35  | | | | | | | 
% 184.75/29.35  | | | | | | | REF_CLOSE: (38), (76), (128), (661) are inconsistent by sub-proof
% 184.75/29.35  | | | | | | |            #1449.
% 184.75/29.35  | | | | | | | 
% 184.75/29.35  | | | | | | End of split
% 184.75/29.35  | | | | | | 
% 184.75/29.35  | | | | | Case 2:
% 184.75/29.35  | | | | | | 
% 184.75/29.35  | | | | | |   (662)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 &
% 184.75/29.35  | | | | | |            op(e0, e1) = e3)
% 184.75/29.35  | | | | | | 
% 184.75/29.35  | | | | | | BETA: splitting (662) gives:
% 184.75/29.35  | | | | | | 
% 184.75/29.35  | | | | | | Case 1:
% 184.75/29.35  | | | | | | | 
% 184.75/29.35  | | | | | | |   (663)  all_56_8 = e3 & op(e1, e1) = e3
% 184.75/29.35  | | | | | | | 
% 184.75/29.35  | | | | | | | ALPHA: (663) implies:
% 184.75/29.35  | | | | | | |   (664)  op(e1, e1) = e3
% 184.75/29.35  | | | | | | | 
% 184.75/29.35  | | | | | | | REF_CLOSE: (55), (76), (152), (664) are inconsistent by sub-proof
% 184.75/29.35  | | | | | | |            #1541.
% 184.75/29.35  | | | | | | | 
% 184.75/29.35  | | | | | | Case 2:
% 184.75/29.35  | | | | | | | 
% 184.75/29.35  | | | | | | |   (665)  all_56_14 = e3 & op(e0, e1) = e3
% 184.75/29.35  | | | | | | | 
% 184.75/29.35  | | | | | | | REF_CLOSE: (4), (14), (20), (30), (46), (55), (58), (76), (100),
% 184.75/29.35  | | | | | | |            (105), (132), (133), (140), (520), (665) are
% 184.75/29.35  | | | | | | |            inconsistent by sub-proof #1153.
% 184.75/29.35  | | | | | | | 
% 184.75/29.35  | | | | | | End of split
% 184.75/29.35  | | | | | | 
% 184.75/29.35  | | | | | End of split
% 184.75/29.35  | | | | | 
% 184.75/29.35  | | | | End of split
% 184.75/29.35  | | | | 
% 184.75/29.35  | | | Case 2:
% 184.75/29.35  | | | | 
% 184.75/29.35  | | | |   (666)  all_56_7 = e3 & op(e1, e2) = e3
% 184.75/29.35  | | | | 
% 184.75/29.35  | | | | REF_CLOSE: (76), (130), (135), (666) are inconsistent by sub-proof #990.
% 184.75/29.35  | | | | 
% 184.75/29.35  | | | End of split
% 184.75/29.35  | | | 
% 184.75/29.35  | | Case 2:
% 184.75/29.35  | | | 
% 184.75/29.35  | | |   (667)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0)
% 184.75/29.35  | | |            = e3)
% 184.75/29.35  | | | 
% 184.75/29.35  | | | BETA: splitting (667) gives:
% 184.75/29.35  | | | 
% 184.75/29.35  | | | Case 1:
% 184.75/29.35  | | | | 
% 184.75/29.35  | | | |   (668)  all_56_8 = e3 & op(e1, e1) = e3
% 184.75/29.35  | | | | 
% 184.75/29.35  | | | | ALPHA: (668) implies:
% 184.75/29.35  | | | |   (669)  op(e1, e1) = e3
% 184.75/29.35  | | | | 
% 184.75/29.35  | | | | REF_CLOSE: (55), (76), (152), (669) are inconsistent by sub-proof #1541.
% 184.75/29.35  | | | | 
% 184.75/29.35  | | | Case 2:
% 184.75/29.35  | | | | 
% 184.75/29.35  | | | |   (670)  all_56_11 = e3 & op(e1, e0) = e3
% 184.75/29.35  | | | | 
% 184.75/29.35  | | | | REF_CLOSE: (23), (76), (519), (670) are inconsistent by sub-proof #804.
% 184.75/29.35  | | | | 
% 184.75/29.35  | | | End of split
% 184.75/29.35  | | | 
% 184.75/29.35  | | End of split
% 184.75/29.35  | | 
% 184.75/29.35  | End of split
% 184.75/29.35  | 
% 184.75/29.35  End of proof
% 184.75/29.35  
% 184.75/29.35  Sub-proof #255 shows that the following formulas are inconsistent:
% 184.75/29.35  ----------------------------------------------------------------
% 184.75/29.35    (1)  all_54_6 = e1 | all_54_6 = e0
% 184.75/29.35    (2)  all_54_6 = all_52_9
% 184.75/29.35    (3)   ~ (all_52_9 = e1)
% 184.75/29.35    (4)   ~ (all_52_9 = e0)
% 184.75/29.35  
% 184.75/29.35  Begin of proof
% 184.75/29.35  | 
% 184.75/29.35  | BETA: splitting (1) gives:
% 184.75/29.35  | 
% 184.75/29.35  | Case 1:
% 184.75/29.35  | | 
% 184.75/29.35  | |   (5)  all_54_6 = e1
% 184.75/29.35  | | 
% 184.75/29.35  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #940.
% 184.75/29.35  | | 
% 184.75/29.35  | Case 2:
% 184.75/29.35  | | 
% 184.75/29.35  | |   (6)  all_54_6 = e0
% 184.75/29.35  | | 
% 184.75/29.35  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1235.
% 184.75/29.35  | | 
% 184.75/29.35  | End of split
% 184.75/29.35  | 
% 184.75/29.35  End of proof
% 184.75/29.35  
% 184.75/29.35  Sub-proof #256 shows that the following formulas are inconsistent:
% 184.75/29.35  ----------------------------------------------------------------
% 184.75/29.35    (1)   ~ (e1 = e0)
% 184.75/29.35    (2)  op(e1, e0) = all_52_14
% 184.75/29.35    (3)   ~ (all_52_9 = e0)
% 184.75/29.35    (4)   ~ (e3 = e0)
% 184.75/29.35    (5)  op(e2, e1) = all_52_9
% 184.75/29.35    (6)   ~ (e2 = e0)
% 184.75/29.35    (7)   ~ (e3 = e1)
% 184.75/29.35    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.35           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.35    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.75/29.35         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.75/29.35    (10)   ~ (e3 = e2)
% 184.75/29.35    (11)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.75/29.35    (12)  all_56_14 = e3
% 184.75/29.35    (13)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 184.75/29.35          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.75/29.35    (14)   ~ (all_52_14 = e3)
% 184.75/29.35    (15)   ~ (e2 = e1)
% 184.75/29.35    (16)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.75/29.35          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.75/29.35  
% 184.75/29.35  Begin of proof
% 184.75/29.35  | 
% 184.75/29.35  | BETA: splitting (11) gives:
% 184.75/29.35  | 
% 184.75/29.35  | Case 1:
% 184.75/29.35  | | 
% 184.75/29.35  | |   (17)  all_56_8 = e3 & op(e1, e1) = e3
% 184.75/29.35  | | 
% 184.75/29.35  | | ALPHA: (17) implies:
% 184.75/29.35  | |   (18)  op(e1, e1) = e3
% 184.75/29.35  | | 
% 184.75/29.35  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13), (15),
% 184.75/29.35  | |            (16), (18) are inconsistent by sub-proof #333.
% 184.75/29.35  | | 
% 184.75/29.35  | Case 2:
% 184.75/29.35  | | 
% 184.75/29.35  | |   (19)  all_56_11 = e3 & op(e1, e0) = e3
% 184.75/29.35  | | 
% 184.75/29.35  | | REF_CLOSE: (2), (8), (14), (19) are inconsistent by sub-proof #804.
% 184.75/29.35  | | 
% 184.75/29.35  | End of split
% 184.75/29.35  | 
% 184.75/29.35  End of proof
% 184.75/29.35  
% 184.75/29.35  Sub-proof #257 shows that the following formulas are inconsistent:
% 184.75/29.35  ----------------------------------------------------------------
% 184.75/29.35    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.35           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.35    (2)   ~ (all_52_6 = e2)
% 184.75/29.35    (3)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 184.75/29.35             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.75/29.35           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.75/29.35             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.75/29.35           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 184.75/29.35           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 184.75/29.35           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 184.75/29.35           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 184.75/29.35           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 184.75/29.35           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.75/29.35             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 184.75/29.35           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.75/29.35           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 184.75/29.35    (4)  op(e2, e0) = all_52_13
% 184.75/29.35    (5)  op(e1, e2) = all_52_6
% 184.75/29.35    (6)   ~ (all_52_13 = e2)
% 184.75/29.35  
% 184.75/29.35  Begin of proof
% 184.75/29.35  | 
% 184.75/29.35  | BETA: splitting (3) gives:
% 184.75/29.35  | 
% 184.75/29.35  | Case 1:
% 184.75/29.35  | | 
% 184.75/29.35  | |   (7)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4
% 184.75/29.35  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 184.75/29.35  | |          e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 &
% 184.75/29.35  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.75/29.35  | |        all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 184.75/29.35  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 184.75/29.35  | |        $i(all_57_21) & $i(all_57_29)
% 184.75/29.35  | | 
% 184.75/29.35  | | ALPHA: (7) implies:
% 184.75/29.35  | |   (8)  op(e1, e2) = e2
% 184.75/29.35  | | 
% 184.75/29.35  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1614.
% 184.75/29.35  | | 
% 184.75/29.35  | Case 2:
% 184.75/29.35  | | 
% 184.75/29.35  | |   (9)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4
% 184.75/29.35  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 =
% 184.75/29.35  | |          e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20) = all_57_6 &
% 184.75/29.35  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.75/29.35  | |        all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) =
% 184.75/29.35  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_19) &
% 184.75/29.35  | |        $i(all_57_20) & $i(all_57_29)
% 184.75/29.35  | | 
% 184.75/29.35  | | ALPHA: (9) implies:
% 184.75/29.35  | |   (10)  op(e2, e0) = e2
% 184.75/29.35  | | 
% 184.75/29.35  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1562.
% 184.75/29.35  | | 
% 184.75/29.35  | End of split
% 184.75/29.35  | 
% 184.75/29.35  End of proof
% 184.75/29.35  
% 184.75/29.35  Sub-proof #258 shows that the following formulas are inconsistent:
% 184.75/29.35  ----------------------------------------------------------------
% 184.75/29.35    (1)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 184.75/29.35    (2)   ~ (all_52_1 = e2)
% 184.75/29.35    (3)  op(e2, e3) = all_52_1
% 184.75/29.35    (4)  all_54_4 = all_52_1
% 184.75/29.35    (5)   ~ (all_52_1 = e3)
% 184.75/29.35    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.35           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.35    (7)   ~ (all_52_1 = all_52_13)
% 184.75/29.35    (8)  all_54_7 = all_52_13
% 184.75/29.35    (9)  op(e2, e3) = e2
% 184.75/29.35    (10)  all_54_7 = e1 | all_54_7 = e0
% 184.75/29.35    (11)   ~ (all_52_13 = e0)
% 184.75/29.35  
% 184.75/29.35  Begin of proof
% 184.75/29.35  | 
% 184.75/29.35  | BETA: splitting (10) gives:
% 184.75/29.35  | 
% 184.75/29.35  | Case 1:
% 184.75/29.35  | | 
% 184.75/29.35  | |   (12)  all_54_7 = e1
% 184.75/29.35  | | 
% 184.75/29.35  | | COMBINE_EQS: (8), (12) imply:
% 184.75/29.35  | |   (13)  all_52_13 = e1
% 184.75/29.35  | | 
% 184.75/29.35  | | SIMP: (13) implies:
% 184.75/29.35  | |   (14)  all_52_13 = e1
% 184.75/29.35  | | 
% 184.75/29.35  | | REDUCE: (7), (14) imply:
% 184.75/29.35  | |   (15)   ~ (all_52_1 = e1)
% 184.75/29.35  | | 
% 184.75/29.35  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (9), (15) are inconsistent by
% 184.75/29.35  | |            sub-proof #1075.
% 184.75/29.35  | | 
% 184.75/29.35  | Case 2:
% 184.75/29.35  | | 
% 184.75/29.35  | |   (16)  all_54_7 = e0
% 184.75/29.35  | | 
% 184.75/29.35  | | REF_CLOSE: (8), (11), (16) are inconsistent by sub-proof #946.
% 184.75/29.35  | | 
% 184.75/29.35  | End of split
% 184.75/29.35  | 
% 184.75/29.35  End of proof
% 184.75/29.35  
% 184.75/29.35  Sub-proof #259 shows that the following formulas are inconsistent:
% 184.75/29.35  ----------------------------------------------------------------
% 184.75/29.35    (1)   ~ (all_52_4 = e3)
% 184.75/29.35    (2)  op(e3, e3) = e2
% 184.75/29.35    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.35           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.35    (4)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 184.75/29.35    (5)   ~ (e3 = e2)
% 184.75/29.35    (6)  op(e3, e2) = all_52_4
% 184.75/29.35  
% 184.75/29.35  Begin of proof
% 184.75/29.35  | 
% 184.75/29.35  | BETA: splitting (4) gives:
% 184.75/29.35  | 
% 184.75/29.35  | Case 1:
% 184.75/29.35  | | 
% 184.75/29.35  | |   (7)  all_56_0 = e3 & op(e3, e3) = e3
% 184.75/29.35  | | 
% 184.75/29.35  | | ALPHA: (7) implies:
% 184.75/29.35  | |   (8)  op(e3, e3) = e3
% 184.75/29.35  | | 
% 184.75/29.35  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1594.
% 184.75/29.35  | | 
% 184.75/29.35  | Case 2:
% 184.75/29.35  | | 
% 184.75/29.35  | |   (9)  all_56_1 = e3 & op(e3, e2) = e3
% 184.75/29.35  | | 
% 184.75/29.35  | | ALPHA: (9) implies:
% 184.75/29.35  | |   (10)  op(e3, e2) = e3
% 184.75/29.35  | | 
% 184.75/29.35  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1603.
% 184.75/29.35  | | 
% 184.75/29.35  | End of split
% 184.75/29.35  | 
% 184.75/29.35  End of proof
% 184.75/29.35  
% 184.75/29.35  Sub-proof #260 shows that the following formulas are inconsistent:
% 184.75/29.35  ----------------------------------------------------------------
% 184.75/29.35    (1)  op(e0, e0) = all_6_2
% 184.75/29.35    (2)   ~ (all_52_11 = e1)
% 184.75/29.35    (3)   ~ (all_6_2 = e1)
% 184.75/29.35    (4)   ~ (all_52_14 = e0)
% 184.75/29.35    (5)   ~ (all_52_13 = e3)
% 184.75/29.35    (6)  op(e1, e3) = all_52_2
% 184.75/29.35    (7)   ~ (all_52_12 = e2)
% 184.75/29.35    (8)   ~ (all_52_13 = all_52_14)
% 184.75/29.35    (9)   ~ (e3 = e0)
% 184.75/29.35    (10)  op(e0, e1) = all_52_11
% 184.75/29.35    (11)   ~ (e2 = e0)
% 184.75/29.35    (12)   ~ (all_52_12 = all_52_13)
% 184.75/29.35    (13)  op(e3, e3) = e2
% 184.75/29.35    (14)   ~ (all_6_2 = e2)
% 184.75/29.35    (15)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 184.75/29.35          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 184.75/29.35    (16)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 184.75/29.35    (17)   ~ (all_52_12 = all_52_14)
% 184.75/29.35    (18)  op(e2, e3) = all_52_1
% 184.75/29.35    (19)   ~ (all_52_1 = e3)
% 184.75/29.35    (20)  op(e0, e3) = all_52_3
% 184.75/29.35    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.35            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.35    (22)  all_54_7 = all_52_13
% 184.75/29.35    (23)  all_54_3 = e1 | all_54_3 = e0
% 184.75/29.36    (24)  all_54_11 = all_52_14
% 184.75/29.36    (25)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.75/29.36          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.75/29.36            e1)
% 184.75/29.36    (26)   ~ (all_52_12 = e3)
% 184.75/29.36    (27)   ~ (e3 = e2)
% 184.75/29.36    (28)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 184.75/29.36    (29)  all_56_14 = e3
% 184.75/29.36    (30)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.75/29.36          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 184.75/29.36            e3)
% 184.75/29.36    (31)   ~ (all_52_13 = e0)
% 184.75/29.36    (32)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.75/29.36          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 184.75/29.36            e2)
% 184.75/29.36    (33)  all_54_3 = all_52_12
% 184.75/29.36    (34)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.75/29.36              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.75/29.36                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.75/29.36                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.75/29.36    (35)   ~ (all_52_2 = all_52_14)
% 184.75/29.36    (36)   ~ (all_52_12 = e0)
% 184.75/29.36  
% 184.75/29.36  Begin of proof
% 184.75/29.36  | 
% 184.75/29.36  | BETA: splitting (23) gives:
% 184.75/29.36  | 
% 184.75/29.36  | Case 1:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (37)  all_54_3 = e1
% 184.75/29.36  | | 
% 184.75/29.36  | | COMBINE_EQS: (33), (37) imply:
% 184.75/29.36  | |   (38)  all_52_12 = e1
% 184.75/29.36  | | 
% 184.75/29.36  | | SIMP: (38) implies:
% 184.75/29.36  | |   (39)  all_52_12 = e1
% 184.75/29.36  | | 
% 184.75/29.36  | | REDUCE: (12), (39) imply:
% 184.75/29.36  | |   (40)   ~ (all_52_13 = e1)
% 184.75/29.36  | | 
% 184.75/29.36  | | SIMP: (40) implies:
% 184.75/29.36  | |   (41)   ~ (all_52_13 = e1)
% 184.75/29.36  | | 
% 184.75/29.36  | | REDUCE: (17), (39) imply:
% 184.75/29.36  | |   (42)   ~ (all_52_14 = e1)
% 184.75/29.36  | | 
% 184.75/29.36  | | SIMP: (42) implies:
% 184.75/29.36  | |   (43)   ~ (all_52_14 = e1)
% 184.75/29.36  | | 
% 184.75/29.36  | | REDUCE: (26), (39) imply:
% 184.75/29.36  | |   (44)   ~ (e3 = e1)
% 184.75/29.36  | | 
% 184.75/29.36  | | SIMP: (44) implies:
% 184.75/29.36  | |   (45)   ~ (e3 = e1)
% 184.75/29.36  | | 
% 184.75/29.36  | | REDUCE: (7), (39) imply:
% 184.75/29.36  | |   (46)   ~ (e2 = e1)
% 184.75/29.36  | | 
% 184.75/29.36  | | SIMP: (46) implies:
% 184.75/29.36  | |   (47)   ~ (e2 = e1)
% 184.75/29.36  | | 
% 184.75/29.36  | | REDUCE: (36), (39) imply:
% 184.75/29.36  | |   (48)   ~ (e1 = e0)
% 184.75/29.36  | | 
% 184.75/29.36  | | BETA: splitting (15) gives:
% 184.75/29.36  | | 
% 184.75/29.36  | | Case 1:
% 184.75/29.36  | | | 
% 184.75/29.36  | | |   (49)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 184.75/29.36  | | |           e3)
% 184.75/29.36  | | | 
% 184.75/29.36  | | | REF_CLOSE: (13), (18), (19), (21), (27), (49) are inconsistent by
% 184.75/29.36  | | |            sub-proof #265.
% 184.75/29.36  | | | 
% 184.75/29.36  | | Case 2:
% 184.75/29.36  | | | 
% 184.75/29.36  | | |   (50)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 184.75/29.36  | | |           e3)
% 184.75/29.36  | | | 
% 184.75/29.36  | | | BETA: splitting (50) gives:
% 184.75/29.36  | | | 
% 184.75/29.36  | | | Case 1:
% 184.75/29.36  | | | | 
% 184.75/29.36  | | | |   (51)  all_56_6 = e3 & op(e1, e3) = e3
% 184.75/29.36  | | | | 
% 184.75/29.36  | | | | ALPHA: (51) implies:
% 184.75/29.36  | | | |   (52)  op(e1, e3) = e3
% 184.75/29.36  | | | | 
% 184.75/29.36  | | | | REF_CLOSE: (4), (5), (6), (8), (16), (21), (22), (24), (28), (31), (35),
% 184.75/29.36  | | | |            (41), (43), (52) are inconsistent by sub-proof #263.
% 184.75/29.36  | | | | 
% 184.75/29.36  | | | Case 2:
% 184.75/29.36  | | | | 
% 184.75/29.36  | | | |   (53)  all_56_12 = e3 & op(e0, e3) = e3
% 184.75/29.36  | | | | 
% 184.75/29.36  | | | | REF_CLOSE: (1), (2), (3), (9), (10), (11), (14), (20), (21), (25), (27),
% 184.75/29.36  | | | |            (29), (30), (32), (34), (45), (47), (48), (53) are
% 184.75/29.36  | | | |            inconsistent by sub-proof #261.
% 184.75/29.36  | | | | 
% 184.75/29.36  | | | End of split
% 184.75/29.36  | | | 
% 184.75/29.36  | | End of split
% 184.75/29.36  | | 
% 184.75/29.36  | Case 2:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (54)  all_54_3 = e0
% 184.75/29.36  | | 
% 184.75/29.36  | | REF_CLOSE: (33), (36), (54) are inconsistent by sub-proof #828.
% 184.75/29.36  | | 
% 184.75/29.36  | End of split
% 184.75/29.36  | 
% 184.75/29.36  End of proof
% 184.75/29.36  
% 184.75/29.36  Sub-proof #261 shows that the following formulas are inconsistent:
% 184.75/29.36  ----------------------------------------------------------------
% 184.75/29.36    (1)  op(e0, e0) = all_6_2
% 184.75/29.36    (2)   ~ (all_52_11 = e1)
% 184.75/29.36    (3)   ~ (all_6_2 = e1)
% 184.75/29.36    (4)  all_56_12 = e3 & op(e0, e3) = e3
% 184.75/29.36    (5)   ~ (e1 = e0)
% 184.75/29.36    (6)   ~ (e3 = e0)
% 184.75/29.36    (7)  op(e0, e1) = all_52_11
% 184.75/29.36    (8)   ~ (e2 = e0)
% 184.75/29.36    (9)   ~ (e3 = e1)
% 184.75/29.36    (10)   ~ (all_6_2 = e2)
% 184.75/29.36    (11)  op(e0, e3) = all_52_3
% 184.75/29.36    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.36            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.36    (13)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.75/29.36          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.75/29.36            e1)
% 184.75/29.36    (14)   ~ (e3 = e2)
% 184.75/29.36    (15)  all_56_14 = e3
% 184.75/29.36    (16)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.75/29.36          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 184.75/29.36            e3)
% 184.75/29.36    (17)   ~ (e2 = e1)
% 184.75/29.36    (18)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.75/29.36          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 184.75/29.36            e2)
% 184.75/29.36    (19)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.75/29.36              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.75/29.36                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.75/29.36                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.75/29.36  
% 184.75/29.36  Begin of proof
% 184.75/29.36  | 
% 184.75/29.36  | ALPHA: (4) implies:
% 184.75/29.36  |   (20)  all_56_12 = e3
% 184.75/29.36  |   (21)  op(e0, e3) = e3
% 184.75/29.36  | 
% 184.75/29.36  | BETA: splitting (18) gives:
% 184.75/29.36  | 
% 184.75/29.36  | Case 1:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (22)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 184.75/29.36  | |           e2)
% 184.75/29.36  | | 
% 184.75/29.36  | | REF_CLOSE: (1), (2), (3), (7), (9), (11), (12), (13), (14), (17), (21), (22)
% 184.75/29.36  | |            are inconsistent by sub-proof #262.
% 184.75/29.36  | | 
% 184.75/29.36  | Case 2:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (23)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 184.75/29.36  | |           e2)
% 184.75/29.36  | | 
% 184.75/29.36  | | BETA: splitting (23) gives:
% 184.75/29.36  | | 
% 184.75/29.36  | | Case 1:
% 184.75/29.36  | | | 
% 184.75/29.36  | | |   (24)  all_56_14 = e2 & op(e0, e1) = e2
% 184.75/29.36  | | | 
% 184.75/29.36  | | | ALPHA: (24) implies:
% 184.75/29.36  | | |   (25)  all_56_14 = e2
% 184.75/29.36  | | | 
% 184.75/29.36  | | | COMBINE_EQS: (15), (25) imply:
% 184.75/29.36  | | |   (26)  e3 = e2
% 184.75/29.36  | | | 
% 184.75/29.36  | | | COMBINE_EQS: (20), (26) imply:
% 184.75/29.36  | | |   (27)  all_56_12 = e2
% 184.75/29.36  | | | 
% 184.75/29.36  | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (12), (13), (14), (16),
% 184.75/29.36  | | |            (17), (19), (25), (27) are inconsistent by sub-proof #1095.
% 184.75/29.36  | | | 
% 184.75/29.36  | | Case 2:
% 184.75/29.36  | | | 
% 184.75/29.36  | | |   (28)  all_56_15 = e2 & op(e0, e0) = e2
% 184.75/29.36  | | | 
% 184.75/29.36  | | | ALPHA: (28) implies:
% 184.75/29.36  | | |   (29)  op(e0, e0) = e2
% 184.75/29.36  | | | 
% 184.75/29.36  | | | REF_CLOSE: (1), (10), (12), (29) are inconsistent by sub-proof #1511.
% 184.75/29.36  | | | 
% 184.75/29.36  | | End of split
% 184.75/29.36  | | 
% 184.75/29.36  | End of split
% 184.75/29.36  | 
% 184.75/29.36  End of proof
% 184.75/29.36  
% 184.75/29.36  Sub-proof #262 shows that the following formulas are inconsistent:
% 184.75/29.36  ----------------------------------------------------------------
% 184.75/29.36    (1)  op(e0, e0) = all_6_2
% 184.75/29.36    (2)  op(e0, e3) = e3
% 184.75/29.36    (3)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.75/29.36    (4)   ~ (all_52_11 = e1)
% 184.75/29.36    (5)   ~ (all_6_2 = e1)
% 184.75/29.36    (6)  op(e0, e1) = all_52_11
% 184.75/29.36    (7)   ~ (e3 = e1)
% 184.75/29.36    (8)  op(e0, e3) = all_52_3
% 184.75/29.36    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.36    (10)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.75/29.36          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.75/29.36            e1)
% 184.75/29.36    (11)   ~ (e3 = e2)
% 184.75/29.36    (12)   ~ (e2 = e1)
% 184.75/29.36  
% 184.75/29.36  Begin of proof
% 184.75/29.36  | 
% 184.75/29.36  | BETA: splitting (3) gives:
% 184.75/29.36  | 
% 184.75/29.36  | Case 1:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (13)  all_56_12 = e2 & op(e0, e3) = e2
% 184.75/29.36  | | 
% 184.75/29.36  | | ALPHA: (13) implies:
% 184.75/29.36  | |   (14)  op(e0, e3) = e2
% 184.75/29.36  | | 
% 184.75/29.36  | | REF_CLOSE: (2), (9), (11), (14) are inconsistent by sub-proof #1039.
% 184.75/29.36  | | 
% 184.75/29.36  | Case 2:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (15)  all_56_13 = e2 & op(e0, e2) = e2
% 184.75/29.36  | | 
% 184.75/29.36  | | ALPHA: (15) implies:
% 184.75/29.36  | |   (16)  op(e0, e2) = e2
% 184.75/29.36  | | 
% 184.75/29.36  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (12), (16) are
% 184.75/29.36  | |            inconsistent by sub-proof #275.
% 184.75/29.36  | | 
% 184.75/29.36  | End of split
% 184.75/29.36  | 
% 184.75/29.36  End of proof
% 184.75/29.36  
% 184.75/29.36  Sub-proof #263 shows that the following formulas are inconsistent:
% 184.75/29.36  ----------------------------------------------------------------
% 184.75/29.36    (1)   ~ (all_52_14 = e0)
% 184.75/29.36    (2)   ~ (all_52_13 = e3)
% 184.75/29.36    (3)  op(e1, e3) = all_52_2
% 184.75/29.36    (4)   ~ (all_52_13 = all_52_14)
% 184.75/29.36    (5)   ~ (all_52_14 = e1)
% 184.75/29.36    (6)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 184.75/29.36    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.36    (8)   ~ (all_52_13 = e1)
% 184.75/29.36    (9)  all_54_7 = all_52_13
% 184.75/29.36    (10)  all_54_11 = all_52_14
% 184.75/29.36    (11)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 184.75/29.36    (12)  op(e1, e3) = e3
% 184.75/29.36    (13)   ~ (all_52_13 = e0)
% 184.75/29.36    (14)   ~ (all_52_2 = all_52_14)
% 184.75/29.36  
% 184.75/29.36  Begin of proof
% 184.75/29.36  | 
% 184.75/29.36  | BETA: splitting (11) gives:
% 184.75/29.36  | 
% 184.75/29.36  | Case 1:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (15)  all_54_7 = e3
% 184.75/29.36  | | 
% 184.75/29.36  | | COMBINE_EQS: (9), (15) imply:
% 184.75/29.36  | |   (16)  all_52_13 = e3
% 184.75/29.36  | | 
% 184.75/29.36  | | REDUCE: (2), (16) imply:
% 184.75/29.36  | |   (17)  $false
% 184.75/29.36  | | 
% 184.75/29.36  | | CLOSE: (17) is inconsistent.
% 184.75/29.36  | | 
% 184.75/29.36  | Case 2:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (18)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 184.75/29.36  | | 
% 184.75/29.36  | | BETA: splitting (18) gives:
% 184.75/29.36  | | 
% 184.75/29.36  | | Case 1:
% 184.75/29.36  | | | 
% 184.75/29.36  | | |   (19)  all_54_7 = e2
% 184.75/29.36  | | | 
% 184.75/29.36  | | | COMBINE_EQS: (9), (19) imply:
% 184.75/29.36  | | |   (20)  all_52_13 = e2
% 184.75/29.36  | | | 
% 184.75/29.36  | | | REDUCE: (4), (20) imply:
% 184.75/29.36  | | |   (21)   ~ (all_52_14 = e2)
% 184.75/29.36  | | | 
% 184.75/29.36  | | | SIMP: (21) implies:
% 184.75/29.36  | | |   (22)   ~ (all_52_14 = e2)
% 184.75/29.36  | | | 
% 184.75/29.36  | | | REF_CLOSE: (1), (3), (5), (6), (7), (10), (12), (14), (22) are
% 184.75/29.36  | | |            inconsistent by sub-proof #264.
% 184.75/29.36  | | | 
% 184.75/29.36  | | Case 2:
% 184.75/29.36  | | | 
% 184.75/29.36  | | |   (23)  all_54_7 = e1 | all_54_7 = e0
% 184.75/29.36  | | | 
% 184.75/29.36  | | | REF_CLOSE: (8), (9), (13), (23) are inconsistent by sub-proof #945.
% 184.75/29.36  | | | 
% 184.75/29.36  | | End of split
% 184.75/29.36  | | 
% 184.75/29.36  | End of split
% 184.75/29.36  | 
% 184.75/29.36  End of proof
% 184.75/29.36  
% 184.75/29.36  Sub-proof #264 shows that the following formulas are inconsistent:
% 184.75/29.36  ----------------------------------------------------------------
% 184.75/29.36    (1)   ~ (all_52_14 = e0)
% 184.75/29.36    (2)  op(e1, e3) = all_52_2
% 184.75/29.36    (3)   ~ (all_52_14 = e1)
% 184.75/29.36    (4)   ~ (all_52_14 = e2)
% 184.75/29.36    (5)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 184.75/29.36    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.36    (7)  all_54_11 = all_52_14
% 184.75/29.36    (8)  op(e1, e3) = e3
% 184.75/29.36    (9)   ~ (all_52_2 = all_52_14)
% 184.75/29.36  
% 184.75/29.36  Begin of proof
% 184.75/29.36  | 
% 184.75/29.36  | BETA: splitting (5) gives:
% 184.75/29.36  | 
% 184.75/29.36  | Case 1:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (10)  all_54_11 = e3
% 184.75/29.36  | | 
% 184.75/29.36  | | COMBINE_EQS: (7), (10) imply:
% 184.75/29.36  | |   (11)  all_52_14 = e3
% 184.75/29.36  | | 
% 184.75/29.36  | | SIMP: (11) implies:
% 184.75/29.36  | |   (12)  all_52_14 = e3
% 184.75/29.36  | | 
% 184.75/29.36  | | REDUCE: (9), (12) imply:
% 184.75/29.36  | |   (13)   ~ (all_52_2 = e3)
% 184.75/29.36  | | 
% 184.75/29.36  | | REF_CLOSE: (2), (6), (8), (13) are inconsistent by sub-proof #855.
% 184.75/29.36  | | 
% 184.75/29.36  | Case 2:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (14)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 184.75/29.36  | | 
% 184.75/29.36  | | REF_CLOSE: (1), (3), (4), (7), (14) are inconsistent by sub-proof #1112.
% 184.75/29.36  | | 
% 184.75/29.36  | End of split
% 184.75/29.36  | 
% 184.75/29.36  End of proof
% 184.75/29.36  
% 184.75/29.36  Sub-proof #265 shows that the following formulas are inconsistent:
% 184.75/29.36  ----------------------------------------------------------------
% 184.75/29.36    (1)  op(e3, e3) = e2
% 184.75/29.36    (2)  op(e2, e3) = all_52_1
% 184.75/29.36    (3)   ~ (all_52_1 = e3)
% 184.75/29.36    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.36    (5)   ~ (e3 = e2)
% 184.75/29.36    (6)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 184.75/29.36  
% 184.75/29.36  Begin of proof
% 184.75/29.36  | 
% 184.75/29.36  | BETA: splitting (6) gives:
% 184.75/29.36  | 
% 184.75/29.36  | Case 1:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (7)  all_56_0 = e3 & op(e3, e3) = e3
% 184.75/29.36  | | 
% 184.75/29.36  | | ALPHA: (7) implies:
% 184.75/29.36  | |   (8)  op(e3, e3) = e3
% 184.75/29.36  | | 
% 184.75/29.36  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1594.
% 184.75/29.36  | | 
% 184.75/29.36  | Case 2:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (9)  all_56_2 = e3 & op(e2, e3) = e3
% 184.75/29.36  | | 
% 184.75/29.36  | | ALPHA: (9) implies:
% 184.75/29.36  | |   (10)  op(e2, e3) = e3
% 184.75/29.36  | | 
% 184.75/29.36  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #286.
% 184.75/29.36  | | 
% 184.75/29.36  | End of split
% 184.75/29.36  | 
% 184.75/29.36  End of proof
% 184.75/29.36  
% 184.75/29.36  Sub-proof #266 shows that the following formulas are inconsistent:
% 184.75/29.36  ----------------------------------------------------------------
% 184.75/29.36    (1)  op(e0, e0) = all_6_2
% 184.75/29.36    (2)   ~ (all_6_2 = e1)
% 184.75/29.36    (3)   ~ (e1 = e0)
% 184.75/29.36    (4)  op(e1, e0) = all_52_14
% 184.75/29.36    (5)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 184.75/29.36         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 184.75/29.36    (6)   ~ (all_52_14 = e1)
% 184.75/29.36    (7)   ~ (all_52_12 = all_52_13)
% 184.75/29.36    (8)  all_56_9 = e0
% 184.75/29.36    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.36    (10)  all_54_3 = e1 | all_54_3 = e0
% 184.75/29.36    (11)  op(e2, e0) = all_52_13
% 184.75/29.36    (12)  all_54_3 = all_52_12
% 184.75/29.36    (13)   ~ (all_52_12 = e0)
% 184.75/29.36  
% 184.75/29.36  Begin of proof
% 184.75/29.36  | 
% 184.75/29.36  | BETA: splitting (5) gives:
% 184.75/29.36  | 
% 184.75/29.36  | Case 1:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (14)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 184.75/29.36  | |           e1)
% 184.75/29.36  | | 
% 184.75/29.36  | | BETA: splitting (14) gives:
% 184.75/29.36  | | 
% 184.75/29.36  | | Case 1:
% 184.75/29.36  | | | 
% 184.75/29.36  | | |   (15)  all_56_9 = e1 & op(e3, e0) = e1
% 184.75/29.36  | | | 
% 184.75/29.36  | | | REF_CLOSE: (3), (8), (15) are inconsistent by sub-proof #1126.
% 184.75/29.36  | | | 
% 184.75/29.36  | | Case 2:
% 184.75/29.36  | | | 
% 184.75/29.36  | | |   (16)  all_56_10 = e1 & op(e2, e0) = e1
% 184.75/29.36  | | | 
% 184.75/29.36  | | | ALPHA: (16) implies:
% 184.75/29.36  | | |   (17)  op(e2, e0) = e1
% 184.75/29.36  | | | 
% 184.75/29.36  | | | REF_CLOSE: (7), (9), (10), (11), (12), (13), (17) are inconsistent by
% 184.75/29.36  | | |            sub-proof #267.
% 184.75/29.36  | | | 
% 184.75/29.36  | | End of split
% 184.75/29.36  | | 
% 184.75/29.36  | Case 2:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (18)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.75/29.36  | |           e1)
% 184.75/29.36  | | 
% 184.75/29.36  | | REF_CLOSE: (1), (2), (4), (6), (9), (18) are inconsistent by sub-proof
% 184.75/29.36  | |            #1488.
% 184.75/29.36  | | 
% 184.75/29.36  | End of split
% 184.75/29.36  | 
% 184.75/29.36  End of proof
% 184.75/29.36  
% 184.75/29.36  Sub-proof #267 shows that the following formulas are inconsistent:
% 184.75/29.36  ----------------------------------------------------------------
% 184.75/29.36    (1)   ~ (all_52_12 = all_52_13)
% 184.75/29.36    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.36    (3)  all_54_3 = e1 | all_54_3 = e0
% 184.75/29.36    (4)  op(e2, e0) = all_52_13
% 184.75/29.36    (5)  all_54_3 = all_52_12
% 184.75/29.36    (6)   ~ (all_52_12 = e0)
% 184.75/29.36    (7)  op(e2, e0) = e1
% 184.75/29.36  
% 184.75/29.36  Begin of proof
% 184.75/29.36  | 
% 184.75/29.36  | BETA: splitting (3) gives:
% 184.75/29.36  | 
% 184.75/29.36  | Case 1:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (8)  all_54_3 = e1
% 184.75/29.36  | | 
% 184.75/29.36  | | COMBINE_EQS: (5), (8) imply:
% 184.75/29.36  | |   (9)  all_52_12 = e1
% 184.75/29.36  | | 
% 184.75/29.36  | | SIMP: (9) implies:
% 184.75/29.36  | |   (10)  all_52_12 = e1
% 184.75/29.36  | | 
% 184.75/29.36  | | REDUCE: (1), (10) imply:
% 184.75/29.36  | |   (11)   ~ (all_52_13 = e1)
% 184.75/29.36  | | 
% 184.75/29.36  | | SIMP: (11) implies:
% 184.75/29.36  | |   (12)   ~ (all_52_13 = e1)
% 184.75/29.36  | | 
% 184.75/29.36  | | REF_CLOSE: (2), (4), (7), (12) are inconsistent by sub-proof #1273.
% 184.75/29.36  | | 
% 184.75/29.36  | Case 2:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (13)  all_54_3 = e0
% 184.75/29.36  | | 
% 184.75/29.36  | | REF_CLOSE: (5), (6), (13) are inconsistent by sub-proof #828.
% 184.75/29.36  | | 
% 184.75/29.36  | End of split
% 184.75/29.36  | 
% 184.75/29.36  End of proof
% 184.75/29.36  
% 184.75/29.36  Sub-proof #268 shows that the following formulas are inconsistent:
% 184.75/29.36  ----------------------------------------------------------------
% 184.75/29.36    (1)  op(e2, e1) = all_52_9
% 184.75/29.36    (2)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 184.75/29.36    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.36    (4)   ~ (all_52_13 = e1)
% 184.75/29.36    (5)  op(e2, e0) = all_52_13
% 184.75/29.36    (6)   ~ (all_52_9 = e1)
% 184.75/29.36  
% 184.75/29.36  Begin of proof
% 184.75/29.36  | 
% 184.75/29.36  | BETA: splitting (2) gives:
% 184.75/29.36  | 
% 184.75/29.36  | Case 1:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (7)  all_56_5 = e1 & op(e2, e1) = e1
% 184.75/29.36  | | 
% 184.75/29.36  | | ALPHA: (7) implies:
% 184.75/29.36  | |   (8)  op(e2, e1) = e1
% 184.75/29.36  | | 
% 184.75/29.36  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1610.
% 184.75/29.36  | | 
% 184.75/29.36  | Case 2:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (9)  all_56_10 = e1 & op(e2, e0) = e1
% 184.75/29.36  | | 
% 184.75/29.36  | | ALPHA: (9) implies:
% 184.75/29.36  | |   (10)  op(e2, e0) = e1
% 184.75/29.36  | | 
% 184.75/29.36  | | REF_CLOSE: (3), (4), (5), (10) are inconsistent by sub-proof #1273.
% 184.75/29.36  | | 
% 184.75/29.36  | End of split
% 184.75/29.36  | 
% 184.75/29.36  End of proof
% 184.75/29.36  
% 184.75/29.36  Sub-proof #269 shows that the following formulas are inconsistent:
% 184.75/29.36  ----------------------------------------------------------------
% 184.75/29.36    (1)  op(e0, e0) = all_6_2
% 184.75/29.36    (2)   ~ (e1 = e0)
% 184.75/29.36    (3)   ~ (e3 = e0)
% 184.75/29.36    (4)   ~ (e2 = e0)
% 184.75/29.36    (5)   ~ (all_6_2 = e2)
% 184.75/29.36    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.36    (7)  op(e0, e0) = e3
% 184.75/29.36    (8)  all_56_12 = e3
% 184.75/29.36    (9)   ~ (e3 = e2)
% 184.75/29.36    (10)   ~ (e2 = e1)
% 184.75/29.36    (11)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.75/29.36          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 184.75/29.36            e2)
% 184.75/29.36    (12)  all_56_13 = e1
% 184.75/29.36    (13)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.75/29.36              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.75/29.36                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.75/29.36                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.75/29.36  
% 184.75/29.36  Begin of proof
% 184.75/29.36  | 
% 184.75/29.36  | BETA: splitting (11) gives:
% 184.75/29.36  | 
% 184.75/29.36  | Case 1:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (14)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 184.75/29.36  | |           e2)
% 184.75/29.36  | | 
% 184.75/29.36  | | REF_CLOSE: (8), (9), (10), (12), (14) are inconsistent by sub-proof #592.
% 184.75/29.36  | | 
% 184.75/29.36  | Case 2:
% 184.75/29.36  | | 
% 184.75/29.36  | |   (15)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 184.75/29.36  | |           e2)
% 184.75/29.36  | | 
% 184.75/29.36  | | BETA: splitting (15) gives:
% 184.75/29.36  | | 
% 184.75/29.36  | | Case 1:
% 184.75/29.36  | | | 
% 184.75/29.36  | | |   (16)  all_56_14 = e2 & op(e0, e1) = e2
% 184.75/29.36  | | | 
% 184.75/29.36  | | | ALPHA: (16) implies:
% 184.75/29.36  | | |   (17)  all_56_14 = e2
% 184.75/29.36  | | | 
% 184.75/29.36  | | | BETA: splitting (13) gives:
% 184.75/29.36  | | | 
% 184.75/29.36  | | | Case 1:
% 184.75/29.36  | | | | 
% 184.75/29.36  | | | |   (18)  all_56_15 = e0 & op(e0, e0) = e0
% 184.75/29.36  | | | | 
% 184.75/29.36  | | | | ALPHA: (18) implies:
% 184.75/29.36  | | | |   (19)  op(e0, e0) = e0
% 184.75/29.36  | | | | 
% 184.75/29.36  | | | | REF_CLOSE: (3), (6), (7), (19) are inconsistent by sub-proof #1540.
% 184.75/29.36  | | | | 
% 184.75/29.36  | | | Case 2:
% 184.75/29.36  | | | | 
% 184.75/29.36  | | | |   (20)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2,
% 184.75/29.36  | | | |               e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 184.75/29.36  | | | |         ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0,
% 184.75/29.36  | | | |               e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 184.75/29.36  | | | | 
% 184.75/29.36  | | | | ALPHA: (20) implies:
% 184.75/29.36  | | | |   (21)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0,
% 184.75/29.36  | | | |             e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.75/29.36  | | | | 
% 184.75/29.36  | | | | REF_CLOSE: (2), (3), (4), (8), (12), (17), (21) are inconsistent by
% 184.75/29.36  | | | |            sub-proof #852.
% 184.75/29.36  | | | | 
% 184.75/29.36  | | | End of split
% 184.75/29.36  | | | 
% 184.75/29.36  | | Case 2:
% 184.75/29.36  | | | 
% 184.75/29.36  | | |   (22)  all_56_15 = e2 & op(e0, e0) = e2
% 184.75/29.36  | | | 
% 184.75/29.36  | | | ALPHA: (22) implies:
% 184.75/29.36  | | |   (23)  op(e0, e0) = e2
% 184.75/29.36  | | | 
% 184.75/29.36  | | | REF_CLOSE: (1), (5), (6), (23) are inconsistent by sub-proof #1511.
% 184.75/29.36  | | | 
% 184.75/29.36  | | End of split
% 184.75/29.36  | | 
% 184.75/29.36  | End of split
% 184.75/29.36  | 
% 184.75/29.36  End of proof
% 184.75/29.36  
% 184.75/29.36  Sub-proof #270 shows that the following formulas are inconsistent:
% 184.75/29.36  ----------------------------------------------------------------
% 184.75/29.36    (1)  all_56_7 = e0 & op(e1, e2) = e0
% 184.75/29.36    (2)  all_56_7 = e2
% 184.75/29.36    (3)   ~ (e2 = e0)
% 184.75/29.36  
% 184.75/29.36  Begin of proof
% 184.75/29.36  | 
% 184.75/29.36  | ALPHA: (1) implies:
% 184.75/29.36  |   (4)  all_56_7 = e0
% 184.75/29.36  | 
% 184.75/29.36  | COMBINE_EQS: (2), (4) imply:
% 184.75/29.36  |   (5)  e2 = e0
% 184.75/29.36  | 
% 184.75/29.36  | REDUCE: (3), (5) imply:
% 184.75/29.36  |   (6)  $false
% 184.75/29.36  | 
% 184.75/29.36  | CLOSE: (6) is inconsistent.
% 184.75/29.36  | 
% 184.75/29.36  End of proof
% 184.75/29.36  
% 184.75/29.36  Sub-proof #271 shows that the following formulas are inconsistent:
% 184.75/29.36  ----------------------------------------------------------------
% 184.75/29.36    (1)   ~ (e2 = e0)
% 184.75/29.36    (2)  op(e2, e1) = e0
% 184.75/29.36    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.36           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.37    (4)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 184.75/29.37             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.75/29.37           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.75/29.37             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.75/29.37           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 184.75/29.37           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 184.75/29.37           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 184.75/29.37           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 184.75/29.37           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 184.75/29.37           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.75/29.37             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 184.75/29.37           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.75/29.37           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 184.75/29.37    (5)   ~ (all_52_7 = e2)
% 184.75/29.37    (6)  op(e0, e2) = all_52_7
% 184.75/29.37  
% 184.75/29.37  Begin of proof
% 184.75/29.37  | 
% 184.75/29.37  | BETA: splitting (4) gives:
% 184.75/29.37  | 
% 184.75/29.37  | Case 1:
% 184.75/29.37  | | 
% 184.75/29.37  | |   (7)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4
% 184.75/29.37  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 184.75/29.37  | |          e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 &
% 184.75/29.37  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.75/29.37  | |        all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 184.75/29.37  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 184.75/29.37  | |        $i(all_57_21) & $i(all_57_29)
% 184.75/29.37  | | 
% 184.75/29.37  | | ALPHA: (7) implies:
% 184.75/29.37  | |   (8)  op(e2, e1) = e2
% 184.75/29.37  | | 
% 184.75/29.37  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #272.
% 184.75/29.37  | | 
% 184.75/29.37  | Case 2:
% 184.75/29.37  | | 
% 184.75/29.37  | |   (9)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4
% 184.75/29.37  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 =
% 184.75/29.37  | |          e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20) = all_57_6 &
% 184.75/29.37  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.75/29.37  | |        all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) =
% 184.75/29.37  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_19) &
% 184.75/29.37  | |        $i(all_57_20) & $i(all_57_29)
% 184.75/29.37  | | 
% 184.75/29.37  | | ALPHA: (9) implies:
% 184.75/29.37  | |   (10)  op(e0, e2) = e2
% 184.75/29.37  | | 
% 184.75/29.37  | | REF_CLOSE: (3), (5), (6), (10) are inconsistent by sub-proof #1613.
% 184.75/29.37  | | 
% 184.75/29.37  | End of split
% 184.75/29.37  | 
% 184.75/29.37  End of proof
% 184.75/29.37  
% 184.75/29.37  Sub-proof #272 shows that the following formulas are inconsistent:
% 184.75/29.37  ----------------------------------------------------------------
% 184.75/29.37    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.37    (2)  op(e2, e1) = e2
% 184.75/29.37    (3)  op(e2, e1) = e0
% 184.75/29.37    (4)   ~ (e2 = e0)
% 184.75/29.37  
% 184.75/29.37  Begin of proof
% 184.75/29.37  | 
% 184.75/29.37  | GROUND_INST: instantiating (1) with e0, e2, e1, e2, simplifying with (2), (3)
% 184.75/29.37  |              gives:
% 184.75/29.37  |   (5)  e2 = e0
% 184.75/29.37  | 
% 184.75/29.37  | REDUCE: (4), (5) imply:
% 184.75/29.37  |   (6)  $false
% 184.75/29.37  | 
% 184.75/29.37  | CLOSE: (6) is inconsistent.
% 184.75/29.37  | 
% 184.75/29.37  End of proof
% 184.75/29.37  
% 184.75/29.37  Sub-proof #273 shows that the following formulas are inconsistent:
% 184.75/29.37  ----------------------------------------------------------------
% 184.75/29.37    (1)   ~ (all_52_14 = e0)
% 184.75/29.37    (2)   ~ (all_52_14 = e1)
% 184.75/29.37    (3)  op(e3, e0) = all_52_12
% 184.75/29.37    (4)   ~ (all_52_14 = e2)
% 184.75/29.37    (5)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 184.75/29.37    (6)   ~ (all_52_12 = all_52_14)
% 184.75/29.37    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.37    (8)  all_54_11 = all_52_14
% 184.75/29.37    (9)   ~ (all_52_4 = e2)
% 184.75/29.37    (10)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 184.75/29.37              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 184.75/29.37            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.75/29.37              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.75/29.37            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 184.75/29.37            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.75/29.37            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 184.75/29.37            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.75/29.37            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.75/29.37              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.75/29.37              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 184.75/29.37            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 184.75/29.37            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.75/29.37            $i(all_57_29))
% 184.75/29.37    (11)  op(e3, e2) = all_52_4
% 184.75/29.37  
% 184.75/29.37  Begin of proof
% 184.75/29.37  | 
% 184.75/29.37  | BETA: splitting (10) gives:
% 184.75/29.37  | 
% 184.75/29.37  | Case 1:
% 184.75/29.37  | | 
% 184.75/29.37  | |   (12)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~
% 184.75/29.37  | |         (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~
% 184.75/29.37  | |         (all_57_28 = e0) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 184.75/29.37  | |         = all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 184.75/29.37  | |         op(e3, e2) = all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 184.75/29.37  | |         op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 184.75/29.37  | |         $i(all_57_16) & $i(all_57_17) & $i(all_57_28)
% 184.75/29.37  | | 
% 184.75/29.37  | | ALPHA: (12) implies:
% 184.75/29.37  | |   (13)  op(e3, e0) = e3
% 184.75/29.37  | | 
% 184.75/29.37  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (13) are inconsistent by
% 184.75/29.37  | |            sub-proof #1080.
% 184.75/29.37  | | 
% 184.75/29.37  | Case 2:
% 184.75/29.37  | | 
% 184.75/29.37  | |   (14)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~
% 184.75/29.37  | |         (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~
% 184.75/29.37  | |         (all_57_29 = e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 &
% 184.75/29.37  | |         op(e2, all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.75/29.37  | |           e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 184.75/29.37  | |         op(e2, e0) = all_57_21 & $i(all_57_5) & $i(all_57_6) & $i(all_57_7)
% 184.75/29.37  | |         & $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 184.75/29.37  | | 
% 184.75/29.37  | | ALPHA: (14) implies:
% 184.75/29.37  | |   (15)  op(e3, e2) = e2
% 184.75/29.37  | | 
% 184.75/29.37  | | REF_CLOSE: (7), (9), (11), (15) are inconsistent by sub-proof #1382.
% 184.75/29.37  | | 
% 184.75/29.37  | End of split
% 184.75/29.37  | 
% 184.75/29.37  End of proof
% 184.75/29.37  
% 184.75/29.37  Sub-proof #274 shows that the following formulas are inconsistent:
% 184.75/29.37  ----------------------------------------------------------------
% 184.75/29.37    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 184.75/29.37    (2)  op(e2, e2) = e3
% 184.75/29.37    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.37    (4)   ~ (e3 = e2)
% 184.75/29.37    (5)   ~ (all_52_4 = e2)
% 184.75/29.37    (6)  op(e3, e2) = all_52_4
% 184.75/29.37  
% 184.75/29.37  Begin of proof
% 184.75/29.37  | 
% 184.75/29.37  | BETA: splitting (1) gives:
% 184.75/29.37  | 
% 184.75/29.37  | Case 1:
% 184.75/29.37  | | 
% 184.75/29.37  | |   (7)  all_56_1 = e2 & op(e3, e2) = e2
% 184.75/29.37  | | 
% 184.75/29.37  | | ALPHA: (7) implies:
% 184.75/29.37  | |   (8)  op(e3, e2) = e2
% 184.75/29.37  | | 
% 184.75/29.37  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1382.
% 184.75/29.37  | | 
% 184.75/29.37  | Case 2:
% 184.75/29.37  | | 
% 184.75/29.37  | |   (9)  all_56_3 = e2 & op(e2, e2) = e2
% 184.75/29.37  | | 
% 184.75/29.37  | | ALPHA: (9) implies:
% 184.75/29.37  | |   (10)  op(e2, e2) = e2
% 184.75/29.37  | | 
% 184.75/29.37  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1602.
% 184.75/29.37  | | 
% 184.75/29.37  | End of split
% 184.75/29.37  | 
% 184.75/29.37  End of proof
% 184.75/29.37  
% 184.75/29.37  Sub-proof #275 shows that the following formulas are inconsistent:
% 184.75/29.37  ----------------------------------------------------------------
% 184.75/29.37    (1)  op(e0, e0) = all_6_2
% 184.75/29.37    (2)  op(e0, e3) = e3
% 184.75/29.37    (3)   ~ (all_52_11 = e1)
% 184.75/29.37    (4)   ~ (all_6_2 = e1)
% 184.75/29.37    (5)  op(e0, e2) = e2
% 184.75/29.37    (6)  op(e0, e1) = all_52_11
% 184.75/29.37    (7)   ~ (e3 = e1)
% 184.75/29.37    (8)  op(e0, e3) = all_52_3
% 184.75/29.37    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.37    (10)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.75/29.37          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.75/29.37            e1)
% 184.75/29.37    (11)   ~ (e2 = e1)
% 184.75/29.37  
% 184.75/29.37  Begin of proof
% 184.75/29.37  | 
% 184.75/29.37  | BETA: splitting (10) gives:
% 184.75/29.37  | 
% 184.75/29.37  | Case 1:
% 184.75/29.37  | | 
% 184.75/29.37  | |   (12)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 184.75/29.37  | |           e1)
% 184.75/29.37  | | 
% 184.75/29.37  | | BETA: splitting (12) gives:
% 184.75/29.37  | | 
% 184.75/29.37  | | Case 1:
% 184.75/29.37  | | | 
% 184.75/29.37  | | |   (13)  all_56_12 = e1 & op(e0, e3) = e1
% 184.75/29.37  | | | 
% 184.75/29.37  | | | ALPHA: (13) implies:
% 184.75/29.37  | | |   (14)  op(e0, e3) = e1
% 184.75/29.37  | | | 
% 184.75/29.37  | | | REF_CLOSE: (2), (7), (8), (9), (14) are inconsistent by sub-proof #1529.
% 184.75/29.37  | | | 
% 184.75/29.37  | | Case 2:
% 184.75/29.37  | | | 
% 184.75/29.37  | | |   (15)  all_56_13 = e1 & op(e0, e2) = e1
% 184.75/29.37  | | | 
% 184.75/29.37  | | | ALPHA: (15) implies:
% 184.75/29.37  | | |   (16)  op(e0, e2) = e1
% 184.75/29.37  | | | 
% 184.75/29.37  | | | REF_CLOSE: (5), (9), (11), (16) are inconsistent by sub-proof #279.
% 184.75/29.37  | | | 
% 184.75/29.37  | | End of split
% 184.75/29.37  | | 
% 184.75/29.37  | Case 2:
% 184.75/29.37  | | 
% 184.75/29.37  | |   (17)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.75/29.37  | |           e1)
% 184.75/29.37  | | 
% 184.75/29.37  | | REF_CLOSE: (1), (3), (4), (6), (9), (17) are inconsistent by sub-proof
% 184.75/29.37  | |            #1515.
% 184.75/29.37  | | 
% 184.75/29.37  | End of split
% 184.75/29.37  | 
% 184.75/29.37  End of proof
% 184.75/29.37  
% 184.75/29.37  Sub-proof #276 shows that the following formulas are inconsistent:
% 184.75/29.37  ----------------------------------------------------------------
% 184.75/29.37    (1)  all_57_26 = e2
% 184.75/29.37    (2)  op(e2, e1) = e2
% 184.75/29.37    (3)  op(e1, e0) = all_52_14
% 184.75/29.37    (4)   ~ (all_52_14 = e1)
% 184.75/29.37    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.37    (6)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 =
% 184.75/29.37             e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2)
% 184.75/29.37           & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) =
% 184.75/29.37           all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 184.75/29.37           op(e1, e2) = e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 &
% 184.75/29.37           $i(all_57_8) & $i(all_57_10) & $i(all_57_11) & $i(all_57_22) &
% 184.75/29.37           $i(all_57_24) & $i(all_57_30)) | (op(e0, e1) = all_57_27 &
% 184.75/29.37           $i(all_57_27) & ((all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 =
% 184.75/29.37               e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 184.75/29.37               &  ~ (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1,
% 184.75/29.37                 all_57_23) = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 184.75/29.37                 e3) = all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.75/29.37               & op(e1, e0) = e1 & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 184.75/29.37               $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 =
% 184.75/29.37                 e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 =
% 184.75/29.37                 e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) =
% 184.75/29.37               all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 184.75/29.37               all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 &
% 184.75/29.37               op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.75/29.37               $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 184.75/29.37               $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 184.75/29.37                   & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 184.75/29.37                     e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) =
% 184.75/29.37                   e0)))))
% 184.75/29.37    (7)   ~ (e2 = e1)
% 184.75/29.37  
% 184.75/29.37  Begin of proof
% 184.75/29.37  | 
% 184.75/29.37  | BETA: splitting (6) gives:
% 184.75/29.37  | 
% 184.75/29.37  | Case 1:
% 184.75/29.37  | | 
% 184.75/29.37  | |   (8)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8
% 184.75/29.37  | |          = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 =
% 184.75/29.37  | |          e2) & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 184.75/29.37  | |          all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3)
% 184.75/29.37  | |        = all_57_22 & op(e1, e2) = e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.75/29.37  | |        all_57_24 & $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.75/29.37  | |        $i(all_57_22) & $i(all_57_24) & $i(all_57_30)
% 184.75/29.37  | | 
% 184.75/29.37  | | ALPHA: (8) implies:
% 184.75/29.37  | |   (9)  op(e2, e1) = e1
% 184.75/29.37  | | 
% 184.75/29.37  | | REF_CLOSE: (2), (5), (7), (9) are inconsistent by sub-proof #1148.
% 184.75/29.37  | | 
% 184.75/29.37  | Case 2:
% 184.75/29.37  | | 
% 184.75/29.37  | |   (10)  op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 184.75/29.37  | |             all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.75/29.37  | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 184.75/29.37  | |             op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.75/29.37  | |             op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 184.75/29.37  | |               e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.75/29.37  | |             $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.75/29.37  | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.75/29.37  | |             (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.75/29.37  | |             op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.75/29.37  | |             op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.75/29.37  | |             op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 184.75/29.37  | |             all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.75/29.37  | |             $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.75/29.37  | |             (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0)
% 184.75/29.37  | |                 = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0)
% 184.75/29.37  | |               | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))))
% 184.75/29.37  | | 
% 184.75/29.37  | | ALPHA: (10) implies:
% 184.75/29.37  | |   (11)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 184.75/29.37  | |           (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.75/29.37  | |           (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1,
% 184.75/29.37  | |             all_57_23) = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 184.75/29.37  | |             e3) = all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1) =
% 184.75/29.37  | |           all_57_30 & op(e1, e0) = e1 & $i(all_57_8) & $i(all_57_9) &
% 184.75/29.37  | |           $i(all_57_10) & $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | (
% 184.75/29.37  | |           ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) & 
% 184.75/29.37  | |           ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0,
% 184.75/29.37  | |             all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 184.75/29.37  | |             all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.75/29.37  | |           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13)
% 184.75/29.37  | |           & $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 184.75/29.37  | |           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 184.75/29.37  | |               & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 184.75/29.37  | |                 e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) =
% 184.75/29.37  | |               e0)))
% 184.75/29.37  | | 
% 184.75/29.37  | | REF_CLOSE: (1), (3), (4), (5), (11) are inconsistent by sub-proof #1294.
% 184.75/29.37  | | 
% 184.75/29.37  | End of split
% 184.75/29.37  | 
% 184.75/29.37  End of proof
% 184.75/29.37  
% 184.75/29.37  Sub-proof #277 shows that the following formulas are inconsistent:
% 184.75/29.37  ----------------------------------------------------------------
% 184.75/29.37    (1)  op(e0, e0) = all_6_2
% 184.75/29.37    (2)   ~ (e1 = e0)
% 184.75/29.37    (3)   ~ (e3 = e0)
% 184.75/29.37    (4)  op(e0, e3) = e1
% 184.75/29.37    (5)   ~ (e2 = e0)
% 184.75/29.37    (6)   ~ (e3 = e1)
% 184.75/29.37    (7)   ~ (all_6_2 = e2)
% 184.75/29.37    (8)  op(e0, e3) = all_52_3
% 184.75/29.37    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.37    (10)   ~ (e3 = e2)
% 184.75/29.37    (11)  all_56_12 = e1
% 184.75/29.37    (12)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.75/29.37          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 184.75/29.37            e3)
% 184.75/29.37    (13)   ~ (e2 = e1)
% 184.75/29.37    (14)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.75/29.37          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 184.75/29.37            e2)
% 184.75/29.37    (15)  all_56_13 = e1
% 184.75/29.37    (16)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.75/29.37              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.75/29.37                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.75/29.37                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.75/29.37  
% 184.75/29.37  Begin of proof
% 184.75/29.37  | 
% 184.75/29.37  | BETA: splitting (14) gives:
% 184.75/29.37  | 
% 184.75/29.37  | Case 1:
% 184.75/29.37  | | 
% 184.75/29.37  | |   (17)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 184.75/29.37  | |           e2)
% 184.75/29.37  | | 
% 184.75/29.37  | | BETA: splitting (17) gives:
% 184.75/29.37  | | 
% 184.75/29.37  | | Case 1:
% 184.75/29.37  | | | 
% 184.75/29.37  | | |   (18)  all_56_12 = e2 & op(e0, e3) = e2
% 184.75/29.37  | | | 
% 184.75/29.37  | | | ALPHA: (18) implies:
% 184.75/29.37  | | |   (19)  all_56_12 = e2
% 184.75/29.37  | | | 
% 184.75/29.37  | | | REF_CLOSE: (11), (13), (19) are inconsistent by sub-proof #1383.
% 184.75/29.37  | | | 
% 184.75/29.37  | | Case 2:
% 184.75/29.37  | | | 
% 184.75/29.37  | | |   (20)  all_56_13 = e2 & op(e0, e2) = e2
% 184.75/29.37  | | | 
% 184.75/29.37  | | | ALPHA: (20) implies:
% 184.75/29.37  | | |   (21)  all_56_13 = e2
% 184.75/29.37  | | | 
% 184.75/29.37  | | | REF_CLOSE: (13), (15), (21) are inconsistent by sub-proof #1086.
% 184.75/29.37  | | | 
% 184.75/29.37  | | End of split
% 184.75/29.37  | | 
% 184.75/29.37  | Case 2:
% 184.75/29.37  | | 
% 184.75/29.37  | |   (22)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 184.75/29.37  | |           e2)
% 184.75/29.37  | | 
% 184.75/29.37  | | BETA: splitting (22) gives:
% 184.75/29.37  | | 
% 184.75/29.37  | | Case 1:
% 184.75/29.37  | | | 
% 184.75/29.37  | | |   (23)  all_56_14 = e2 & op(e0, e1) = e2
% 184.75/29.37  | | | 
% 184.75/29.37  | | | ALPHA: (23) implies:
% 184.75/29.37  | | |   (24)  all_56_14 = e2
% 184.75/29.37  | | | 
% 184.75/29.37  | | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (12), (15), (16), (24)
% 184.75/29.37  | | |            are inconsistent by sub-proof #857.
% 184.75/29.37  | | | 
% 184.75/29.37  | | Case 2:
% 184.75/29.37  | | | 
% 184.75/29.37  | | |   (25)  all_56_15 = e2 & op(e0, e0) = e2
% 184.75/29.37  | | | 
% 184.75/29.37  | | | ALPHA: (25) implies:
% 184.75/29.37  | | |   (26)  op(e0, e0) = e2
% 184.75/29.37  | | | 
% 184.75/29.37  | | | REF_CLOSE: (1), (7), (9), (26) are inconsistent by sub-proof #1511.
% 184.75/29.37  | | | 
% 184.75/29.37  | | End of split
% 184.75/29.37  | | 
% 184.75/29.37  | End of split
% 184.75/29.37  | 
% 184.75/29.37  End of proof
% 184.75/29.37  
% 184.75/29.37  Sub-proof #278 shows that the following formulas are inconsistent:
% 184.75/29.37  ----------------------------------------------------------------
% 184.75/29.37    (1)  op(e0, e3) = e1
% 184.75/29.37    (2)   ~ (e2 = e0)
% 184.75/29.37    (3)   ~ (e3 = e1)
% 184.75/29.37    (4)  op(e0, e3) = all_52_3
% 184.75/29.37    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.37    (6)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 184.75/29.37             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.75/29.37           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.75/29.37             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.75/29.37           all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 184.75/29.37           & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.75/29.37           $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2
% 184.75/29.37           & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.75/29.37           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.75/29.37             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.75/29.37             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 184.75/29.37           op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 184.75/29.37           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.75/29.37           $i(all_57_29))
% 184.75/29.37    (7)  op(e2, e3) = e0
% 184.75/29.37  
% 184.75/29.37  Begin of proof
% 184.75/29.37  | 
% 184.75/29.37  | BETA: splitting (6) gives:
% 184.75/29.37  | 
% 184.75/29.37  | Case 1:
% 184.75/29.37  | | 
% 184.75/29.37  | |   (8)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0
% 184.75/29.37  | |          = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 =
% 184.75/29.37  | |          e0) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 &
% 184.75/29.37  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.75/29.37  | |        all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) =
% 184.75/29.37  | |        e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.75/29.37  | |        $i(all_57_17) & $i(all_57_28)
% 184.75/29.37  | | 
% 184.75/29.37  | | ALPHA: (8) implies:
% 184.75/29.37  | |   (9)  op(e0, e3) = e3
% 184.75/29.37  | | 
% 184.75/29.37  | | REF_CLOSE: (1), (3), (4), (5), (9) are inconsistent by sub-proof #1529.
% 184.75/29.37  | | 
% 184.75/29.37  | Case 2:
% 184.75/29.37  | | 
% 184.75/29.37  | |   (10)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~
% 184.75/29.37  | |         (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~
% 184.75/29.37  | |         (all_57_29 = e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 &
% 184.75/29.37  | |         op(e2, all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.75/29.37  | |           e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 184.75/29.37  | |         op(e2, e0) = all_57_21 & $i(all_57_5) & $i(all_57_6) & $i(all_57_7)
% 184.75/29.37  | |         & $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 184.75/29.37  | | 
% 184.75/29.37  | | ALPHA: (10) implies:
% 184.75/29.37  | |   (11)  op(e2, e3) = e2
% 184.75/29.37  | | 
% 184.75/29.37  | | REF_CLOSE: (2), (5), (7), (11) are inconsistent by sub-proof #1412.
% 184.75/29.37  | | 
% 184.75/29.37  | End of split
% 184.75/29.37  | 
% 184.75/29.37  End of proof
% 184.75/29.37  
% 184.75/29.37  Sub-proof #279 shows that the following formulas are inconsistent:
% 184.75/29.37  ----------------------------------------------------------------
% 184.75/29.37    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.37    (2)  op(e0, e2) = e2
% 184.75/29.37    (3)  op(e0, e2) = e1
% 184.75/29.37    (4)   ~ (e2 = e1)
% 184.75/29.37  
% 184.75/29.37  Begin of proof
% 184.75/29.37  | 
% 184.75/29.37  | GROUND_INST: instantiating (1) with e1, e2, e2, e0, simplifying with (2), (3)
% 184.75/29.37  |              gives:
% 184.75/29.37  |   (5)  e2 = e1
% 184.75/29.37  | 
% 184.75/29.37  | REDUCE: (4), (5) imply:
% 184.75/29.37  |   (6)  $false
% 184.75/29.37  | 
% 184.75/29.37  | CLOSE: (6) is inconsistent.
% 184.75/29.37  | 
% 184.75/29.37  End of proof
% 184.75/29.37  
% 184.75/29.37  Sub-proof #280 shows that the following formulas are inconsistent:
% 184.75/29.37  ----------------------------------------------------------------
% 184.75/29.37    (1)   ~ (all_52_8 = e3)
% 184.75/29.37    (2)  op(e2, e3) = all_52_1
% 184.75/29.37    (3)   ~ (all_52_1 = e3)
% 184.75/29.37    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.37           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.37    (5)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 184.75/29.37             e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.75/29.37           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.75/29.37             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.75/29.37           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 184.75/29.37           $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.75/29.37           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3
% 184.75/29.37           & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.75/29.37           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 184.75/29.37           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.75/29.37             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 184.75/29.37             e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.75/29.37           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 184.75/29.37    (6)  op(e3, e1) = all_52_8
% 184.75/29.37  
% 184.75/29.37  Begin of proof
% 184.75/29.37  | 
% 184.75/29.37  | BETA: splitting (5) gives:
% 184.75/29.37  | 
% 184.75/29.37  | Case 1:
% 184.75/29.37  | | 
% 184.75/29.37  | |   (7)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0
% 184.75/29.37  | |          = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 =
% 184.75/29.37  | |          e2) & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 &
% 184.75/29.37  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.75/29.37  | |        e3 & op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 184.75/29.37  | |        e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.75/29.37  | |        $i(all_57_18) & $i(all_57_28)
% 184.75/29.37  | | 
% 184.75/29.37  | | ALPHA: (7) implies:
% 184.75/29.37  | |   (8)  op(e2, e3) = e3
% 184.75/29.37  | | 
% 184.75/29.37  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #286.
% 184.75/29.37  | | 
% 184.75/29.37  | Case 2:
% 184.75/29.37  | | 
% 184.75/29.37  | |   (9)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0
% 184.75/29.37  | |          = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0) &  ~ (all_57_28 =
% 184.75/29.37  | |          e1) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_18) = all_57_3 &
% 184.75/29.37  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.75/29.37  | |        all_57_16 & op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1, e3) =
% 184.75/29.37  | |        e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 184.75/29.37  | |        $i(all_57_18) & $i(all_57_28)
% 184.75/29.37  | | 
% 184.75/29.37  | | ALPHA: (9) implies:
% 184.75/29.37  | |   (10)  op(e3, e1) = e3
% 184.75/29.37  | | 
% 184.75/29.37  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1346.
% 184.75/29.37  | | 
% 184.75/29.37  | End of split
% 184.75/29.37  | 
% 184.75/29.37  End of proof
% 184.75/29.37  
% 184.75/29.37  Sub-proof #281 shows that the following formulas are inconsistent:
% 184.75/29.37  ----------------------------------------------------------------
% 184.75/29.37    (1)   ~ (e1 = e0)
% 184.75/29.37    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 184.75/29.37    (3)  all_56_1 = e0
% 184.75/29.37    (4)  op(e2, e2) = e3
% 184.75/29.37    (5)   ~ (e3 = e1)
% 184.75/29.38    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.38  
% 184.75/29.38  Begin of proof
% 184.75/29.38  | 
% 184.75/29.38  | BETA: splitting (2) gives:
% 184.75/29.38  | 
% 184.75/29.38  | Case 1:
% 184.75/29.38  | | 
% 184.75/29.38  | |   (7)  all_56_1 = e1 & op(e3, e2) = e1
% 184.75/29.38  | | 
% 184.75/29.38  | | ALPHA: (7) implies:
% 184.75/29.38  | |   (8)  all_56_1 = e1
% 184.75/29.38  | | 
% 184.75/29.38  | | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #1432.
% 184.75/29.38  | | 
% 184.75/29.38  | Case 2:
% 184.75/29.38  | | 
% 184.75/29.38  | |   (9)  all_56_3 = e1 & op(e2, e2) = e1
% 184.75/29.38  | | 
% 184.75/29.38  | | ALPHA: (9) implies:
% 184.75/29.38  | |   (10)  op(e2, e2) = e1
% 184.75/29.38  | | 
% 184.75/29.38  | | REF_CLOSE: (4), (5), (6), (10) are inconsistent by sub-proof #1347.
% 184.75/29.38  | | 
% 184.75/29.38  | End of split
% 184.75/29.38  | 
% 184.75/29.38  End of proof
% 184.75/29.38  
% 184.75/29.38  Sub-proof #282 shows that the following formulas are inconsistent:
% 184.75/29.38  ----------------------------------------------------------------
% 184.75/29.38    (1)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 184.75/29.38    (2)  op(e2, e2) = all_57_29
% 184.75/29.38    (3)   ~ (all_57_29 = e2)
% 184.75/29.38    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.38    (5)   ~ (e3 = e2)
% 184.75/29.38    (6)  op(e3, e3) = e3
% 184.75/29.38  
% 184.75/29.38  Begin of proof
% 184.75/29.38  | 
% 184.75/29.38  | BETA: splitting (1) gives:
% 184.75/29.38  | 
% 184.75/29.38  | Case 1:
% 184.75/29.38  | | 
% 184.75/29.38  | |   (7)  all_57_28 = e2 & op(e3, e3) = e2
% 184.75/29.38  | | 
% 184.75/29.38  | | ALPHA: (7) implies:
% 184.75/29.38  | |   (8)  op(e3, e3) = e2
% 184.75/29.38  | | 
% 184.75/29.38  | | REF_CLOSE: (4), (5), (6), (8) are inconsistent by sub-proof #1594.
% 184.75/29.38  | | 
% 184.75/29.38  | Case 2:
% 184.75/29.38  | | 
% 184.75/29.38  | |   (9)  all_57_29 = e2 & op(e2, e2) = e2
% 184.75/29.38  | | 
% 184.75/29.38  | | ALPHA: (9) implies:
% 184.75/29.38  | |   (10)  op(e2, e2) = e2
% 184.75/29.38  | | 
% 184.75/29.38  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1043.
% 184.75/29.38  | | 
% 184.75/29.38  | End of split
% 184.75/29.38  | 
% 184.75/29.38  End of proof
% 184.75/29.38  
% 184.75/29.38  Sub-proof #283 shows that the following formulas are inconsistent:
% 184.75/29.38  ----------------------------------------------------------------
% 184.75/29.38    (1)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 184.75/29.38    (2)  op(e2, e2) = e3
% 184.75/29.38    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.38    (4)   ~ (e3 = e2)
% 184.75/29.38    (5)  op(e3, e3) = e3
% 184.75/29.38  
% 184.75/29.38  Begin of proof
% 184.75/29.38  | 
% 184.75/29.38  | BETA: splitting (1) gives:
% 184.75/29.38  | 
% 184.75/29.38  | Case 1:
% 184.75/29.38  | | 
% 184.75/29.38  | |   (6)  all_57_28 = e2 & op(e3, e3) = e2
% 184.75/29.38  | | 
% 184.75/29.38  | | ALPHA: (6) implies:
% 184.75/29.38  | |   (7)  op(e3, e3) = e2
% 184.75/29.38  | | 
% 184.75/29.38  | | REF_CLOSE: (3), (4), (5), (7) are inconsistent by sub-proof #1594.
% 184.75/29.38  | | 
% 184.75/29.38  | Case 2:
% 184.75/29.38  | | 
% 184.75/29.38  | |   (8)  all_57_29 = e2 & op(e2, e2) = e2
% 184.75/29.38  | | 
% 184.75/29.38  | | ALPHA: (8) implies:
% 184.75/29.38  | |   (9)  op(e2, e2) = e2
% 184.75/29.38  | | 
% 184.75/29.38  | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #1602.
% 184.75/29.38  | | 
% 184.75/29.38  | End of split
% 184.75/29.38  | 
% 184.75/29.38  End of proof
% 184.75/29.38  
% 184.75/29.38  Sub-proof #284 shows that the following formulas are inconsistent:
% 184.75/29.38  ----------------------------------------------------------------
% 184.75/29.38    (1)   ~ (all_52_2 = e3)
% 184.75/29.38    (2)  op(e1, e3) = all_52_2
% 184.75/29.38    (3)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3)
% 184.75/29.38    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.38    (5)  op(e1, e2) = all_52_6
% 184.75/29.38    (6)   ~ (all_52_6 = e3)
% 184.75/29.38  
% 184.75/29.38  Begin of proof
% 184.75/29.38  | 
% 184.75/29.38  | BETA: splitting (3) gives:
% 184.75/29.38  | 
% 184.75/29.38  | Case 1:
% 184.75/29.38  | | 
% 184.75/29.38  | |   (7)  all_56_6 = e3 & op(e1, e3) = e3
% 184.75/29.38  | | 
% 184.75/29.38  | | ALPHA: (7) implies:
% 184.75/29.38  | |   (8)  op(e1, e3) = e3
% 184.75/29.38  | | 
% 184.75/29.38  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #855.
% 184.75/29.38  | | 
% 184.75/29.38  | Case 2:
% 184.75/29.38  | | 
% 184.75/29.38  | |   (9)  all_56_7 = e3 & op(e1, e2) = e3
% 184.75/29.38  | | 
% 184.75/29.38  | | REF_CLOSE: (4), (5), (6), (9) are inconsistent by sub-proof #990.
% 184.75/29.38  | | 
% 184.75/29.38  | End of split
% 184.75/29.38  | 
% 184.75/29.38  End of proof
% 184.75/29.38  
% 184.75/29.38  Sub-proof #285 shows that the following formulas are inconsistent:
% 184.75/29.38  ----------------------------------------------------------------
% 184.75/29.38    (1)   ~ (all_4_2 = e0)
% 184.75/29.38    (2)   ~ (e3 = e0)
% 184.75/29.38    (3)  op(e2, e2) = e3
% 184.75/29.38    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.38    (5)  op(e3, e3) = all_4_2
% 184.75/29.38    (6)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 184.75/29.38  
% 184.75/29.38  Begin of proof
% 184.75/29.38  | 
% 184.75/29.38  | BETA: splitting (6) gives:
% 184.75/29.38  | 
% 184.75/29.38  | Case 1:
% 184.75/29.38  | | 
% 184.75/29.38  | |   (7)  all_57_28 = e0 & op(e3, e3) = e0
% 184.75/29.38  | | 
% 184.75/29.38  | | ALPHA: (7) implies:
% 184.75/29.38  | |   (8)  op(e3, e3) = e0
% 184.75/29.38  | | 
% 184.75/29.38  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1624.
% 184.75/29.38  | | 
% 184.75/29.38  | Case 2:
% 184.75/29.38  | | 
% 184.75/29.38  | |   (9)  all_57_29 = e0 & op(e2, e2) = e0
% 184.75/29.38  | | 
% 184.75/29.38  | | ALPHA: (9) implies:
% 184.75/29.38  | |   (10)  op(e2, e2) = e0
% 184.75/29.38  | | 
% 184.75/29.38  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1015.
% 184.75/29.38  | | 
% 184.75/29.38  | End of split
% 184.75/29.38  | 
% 184.75/29.38  End of proof
% 184.75/29.38  
% 184.75/29.38  Sub-proof #286 shows that the following formulas are inconsistent:
% 184.75/29.38  ----------------------------------------------------------------
% 184.75/29.38    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.38    (2)  op(e2, e3) = all_52_1
% 184.75/29.38    (3)  op(e2, e3) = e3
% 184.75/29.38    (4)   ~ (all_52_1 = e3)
% 184.75/29.38  
% 184.75/29.38  Begin of proof
% 184.75/29.38  | 
% 184.75/29.38  | GROUND_INST: instantiating (1) with all_52_1, e3, e3, e2, simplifying with
% 184.75/29.38  |              (2), (3) gives:
% 184.75/29.38  |   (5)  all_52_1 = e3
% 184.75/29.38  | 
% 184.75/29.38  | REDUCE: (4), (5) imply:
% 184.75/29.38  |   (6)  $false
% 184.75/29.38  | 
% 184.75/29.38  | CLOSE: (6) is inconsistent.
% 184.75/29.38  | 
% 184.75/29.38  End of proof
% 184.75/29.38  
% 184.75/29.38  Sub-proof #287 shows that the following formulas are inconsistent:
% 184.75/29.38  ----------------------------------------------------------------
% 184.75/29.38    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.75/29.38         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.75/29.38    (2)  all_56_9 = e2
% 184.75/29.38    (3)   ~ (e1 = e0)
% 184.75/29.38    (4)   ~ (all_52_9 = e0)
% 184.75/29.38    (5)   ~ (e3 = e0)
% 184.75/29.38    (6)  all_56_0 = e0
% 184.75/29.38    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 184.75/29.38         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.75/29.38    (8)  op(e2, e1) = all_52_9
% 184.75/29.38    (9)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.75/29.38         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.75/29.38    (10)   ~ (all_52_6 = e0)
% 184.75/29.38    (11)   ~ (e2 = e0)
% 184.75/29.38    (12)   ~ (e3 = e1)
% 184.75/29.38    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.38            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.38    (14)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.75/29.38          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.75/29.38    (15)  all_56_3 = e0
% 184.75/29.38    (16)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 184.75/29.38          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 184.75/29.38    (17)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.75/29.38          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.75/29.38            e1)
% 184.75/29.38    (18)  op(e2, e0) = all_52_13
% 184.75/29.38    (19)  all_56_5 = e2
% 184.75/29.38    (20)   ~ (e3 = e2)
% 184.75/29.38    (21)  all_56_10 = e1
% 184.75/29.38    (22)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 184.75/29.38          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.75/29.38    (23)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.75/29.38          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.75/29.38    (24)  all_56_1 = e1
% 184.75/29.38    (25)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.75/29.38          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.75/29.38    (26)  op(e1, e2) = all_52_6
% 184.75/29.38    (27)  op(e1, e1) = e2
% 184.75/29.38    (28)   ~ (all_52_13 = e0)
% 184.75/29.38    (29)   ~ (e2 = e1)
% 184.75/29.38    (30)  all_56_13 = e2
% 184.75/29.38    (31)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.75/29.38              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.75/29.38                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.75/29.38                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.75/29.38  
% 184.75/29.38  Begin of proof
% 184.75/29.38  | 
% 184.75/29.38  | BETA: splitting (23) gives:
% 184.75/29.38  | 
% 184.75/29.38  | Case 1:
% 184.75/29.38  | | 
% 184.75/29.38  | |   (32)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 184.75/29.38  | |           e3)
% 184.75/29.38  | | 
% 184.75/29.38  | | BETA: splitting (32) gives:
% 184.75/29.38  | | 
% 184.75/29.38  | | Case 1:
% 184.75/29.38  | | | 
% 184.75/29.38  | | |   (33)  all_56_2 = e3 & op(e2, e3) = e3
% 184.75/29.38  | | | 
% 184.75/29.38  | | | ALPHA: (33) implies:
% 184.75/29.38  | | |   (34)  all_56_2 = e3
% 184.75/29.38  | | | 
% 184.75/29.38  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 184.75/29.38  | | |            (13), (14), (16), (17), (18), (20), (21), (22), (24), (25),
% 184.75/29.38  | | |            (26), (27), (28), (29), (30), (31), (34) are inconsistent by
% 184.75/29.38  | | |            sub-proof #291.
% 184.75/29.38  | | | 
% 184.75/29.38  | | Case 2:
% 184.75/29.38  | | | 
% 184.75/29.38  | | |   (35)  all_56_3 = e3 & op(e2, e2) = e3
% 184.75/29.38  | | | 
% 184.75/29.38  | | | REF_CLOSE: (5), (15), (35) are inconsistent by sub-proof #288.
% 184.75/29.38  | | | 
% 184.75/29.38  | | End of split
% 184.75/29.38  | | 
% 184.75/29.38  | Case 2:
% 184.75/29.38  | | 
% 184.75/29.38  | |   (36)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 184.75/29.38  | |           e3)
% 184.75/29.38  | | 
% 184.75/29.38  | | BETA: splitting (36) gives:
% 184.75/29.38  | | 
% 184.75/29.38  | | Case 1:
% 184.75/29.38  | | | 
% 184.75/29.38  | | |   (37)  all_56_5 = e3 & op(e2, e1) = e3
% 184.75/29.38  | | | 
% 184.75/29.38  | | | ALPHA: (37) implies:
% 184.75/29.38  | | |   (38)  all_56_5 = e3
% 184.75/29.38  | | | 
% 184.75/29.38  | | | REF_CLOSE: (19), (20), (38) are inconsistent by sub-proof #936.
% 184.75/29.38  | | | 
% 184.75/29.38  | | Case 2:
% 184.75/29.38  | | | 
% 184.75/29.38  | | |   (39)  all_56_10 = e3 & op(e2, e0) = e3
% 184.75/29.38  | | | 
% 184.75/29.38  | | | REF_CLOSE: (12), (21), (39) are inconsistent by sub-proof #1141.
% 184.75/29.38  | | | 
% 184.75/29.38  | | End of split
% 184.75/29.38  | | 
% 184.75/29.38  | End of split
% 184.75/29.38  | 
% 184.75/29.38  End of proof
% 184.75/29.38  
% 184.75/29.38  Sub-proof #288 shows that the following formulas are inconsistent:
% 184.75/29.38  ----------------------------------------------------------------
% 184.75/29.38    (1)  all_56_3 = e3 & op(e2, e2) = e3
% 184.75/29.38    (2)  all_56_3 = e0
% 184.75/29.38    (3)   ~ (e3 = e0)
% 184.75/29.38  
% 184.75/29.38  Begin of proof
% 184.75/29.38  | 
% 184.75/29.38  | ALPHA: (1) implies:
% 184.75/29.38  |   (4)  all_56_3 = e3
% 184.75/29.38  | 
% 184.75/29.38  | COMBINE_EQS: (2), (4) imply:
% 184.75/29.38  |   (5)  e3 = e0
% 184.75/29.38  | 
% 184.75/29.38  | REDUCE: (3), (5) imply:
% 184.75/29.38  |   (6)  $false
% 184.75/29.38  | 
% 184.75/29.38  | CLOSE: (6) is inconsistent.
% 184.75/29.38  | 
% 184.75/29.38  End of proof
% 184.75/29.38  
% 184.75/29.38  Sub-proof #289 shows that the following formulas are inconsistent:
% 184.75/29.38  ----------------------------------------------------------------
% 184.75/29.38    (1)  all_56_9 = e2
% 184.75/29.38    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 184.75/29.38         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.75/29.38    (3)   ~ (e1 = e0)
% 184.75/29.38    (4)   ~ (all_52_9 = e0)
% 184.75/29.38    (5)  all_56_2 = e2
% 184.75/29.38    (6)   ~ (e3 = e0)
% 184.75/29.38    (7)  all_56_0 = e0
% 184.75/29.38    (8)  op(e2, e1) = e1
% 184.75/29.38    (9)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.75/29.38         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.75/29.38    (10)  op(e2, e1) = all_52_9
% 184.75/29.38    (11)   ~ (e2 = e0)
% 184.75/29.38    (12)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.75/29.38          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.75/29.38    (13)   ~ (e3 = e1)
% 184.75/29.38    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.38            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.38    (15)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.75/29.38          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.75/29.38    (16)  all_56_4 = e1
% 184.75/29.38    (17)   ~ (all_52_6 = e2)
% 184.75/29.38    (18)  all_56_3 = e0
% 184.75/29.38    (19)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 184.75/29.38          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 184.75/29.38    (20)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.75/29.38          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.75/29.38            e1)
% 184.75/29.38    (21)  op(e2, e0) = all_52_13
% 184.75/29.38    (22)   ~ (e3 = e2)
% 184.75/29.38    (23)  all_56_10 = e1
% 184.75/29.38    (24)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 184.75/29.38          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.75/29.38    (25)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.75/29.38          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.75/29.38    (26)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.75/29.38          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 184.75/29.38            e3)
% 184.75/29.38    (27)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.75/29.38          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.75/29.38    (28)  op(e1, e2) = all_52_6
% 184.75/29.38    (29)  op(e1, e1) = e2
% 184.75/29.38    (30)   ~ (all_52_13 = e0)
% 184.75/29.38    (31)   ~ (e2 = e1)
% 184.75/29.38    (32)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.75/29.38              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.75/29.38                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.75/29.38                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.75/29.38  
% 184.75/29.38  Begin of proof
% 184.75/29.38  | 
% 184.75/29.38  | BETA: splitting (19) gives:
% 184.75/29.38  | 
% 184.75/29.38  | Case 1:
% 184.75/29.38  | | 
% 184.75/29.38  | |   (33)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 184.75/29.38  | |           e3)
% 184.75/29.38  | | 
% 184.75/29.38  | | BETA: splitting (33) gives:
% 184.75/29.38  | | 
% 184.75/29.38  | | Case 1:
% 184.75/29.38  | | | 
% 184.75/29.38  | | |   (34)  all_56_0 = e3 & op(e3, e3) = e3
% 184.75/29.38  | | | 
% 184.75/29.38  | | | REF_CLOSE: (6), (7), (34) are inconsistent by sub-proof #375.
% 184.75/29.38  | | | 
% 184.75/29.38  | | Case 2:
% 184.75/29.38  | | | 
% 184.75/29.38  | | |   (35)  all_56_1 = e3 & op(e3, e2) = e3
% 184.75/29.38  | | | 
% 184.75/29.38  | | | ALPHA: (35) implies:
% 184.75/29.38  | | |   (36)  all_56_1 = e3
% 184.75/29.38  | | | 
% 184.75/29.38  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 184.75/29.38  | | |            (13), (14), (15), (16), (17), (18), (20), (21), (22), (23),
% 184.75/29.38  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (36) are
% 184.75/29.38  | | |            inconsistent by sub-proof #290.
% 184.75/29.38  | | | 
% 184.75/29.38  | | End of split
% 184.75/29.38  | | 
% 184.75/29.38  | Case 2:
% 184.75/29.38  | | 
% 184.75/29.38  | |   (37)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 184.75/29.38  | |           e3)
% 184.75/29.38  | | 
% 184.75/29.38  | | REF_CLOSE: (1), (13), (16), (22), (37) are inconsistent by sub-proof #769.
% 184.75/29.38  | | 
% 184.75/29.38  | End of split
% 184.75/29.38  | 
% 184.75/29.38  End of proof
% 184.75/29.38  
% 184.75/29.38  Sub-proof #290 shows that the following formulas are inconsistent:
% 184.75/29.38  ----------------------------------------------------------------
% 184.75/29.38    (1)  all_56_9 = e2
% 184.75/29.38    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 184.75/29.38         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.75/29.38    (3)   ~ (e1 = e0)
% 184.75/29.38    (4)   ~ (all_52_9 = e0)
% 184.75/29.38    (5)  all_56_2 = e2
% 184.75/29.38    (6)   ~ (e3 = e0)
% 184.75/29.38    (7)  all_56_0 = e0
% 184.75/29.38    (8)  op(e2, e1) = e1
% 184.75/29.38    (9)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.75/29.38         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.75/29.38    (10)  op(e2, e1) = all_52_9
% 184.75/29.38    (11)   ~ (e2 = e0)
% 184.75/29.38    (12)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.75/29.38          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.75/29.38    (13)   ~ (e3 = e1)
% 184.75/29.38    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.38            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.38    (15)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.75/29.38          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.75/29.38    (16)  all_56_4 = e1
% 184.75/29.38    (17)  all_56_1 = e3
% 184.75/29.38    (18)   ~ (all_52_6 = e2)
% 184.75/29.38    (19)  all_56_3 = e0
% 184.75/29.38    (20)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.75/29.38          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.75/29.38            e1)
% 184.75/29.38    (21)  op(e2, e0) = all_52_13
% 184.75/29.38    (22)   ~ (e3 = e2)
% 184.75/29.38    (23)  all_56_10 = e1
% 184.75/29.38    (24)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 184.75/29.38          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.75/29.38    (25)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.75/29.38          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.75/29.38    (26)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.75/29.38          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 184.75/29.38            e3)
% 184.75/29.38    (27)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.75/29.38          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.75/29.38    (28)  op(e1, e2) = all_52_6
% 184.75/29.38    (29)  op(e1, e1) = e2
% 184.75/29.38    (30)   ~ (all_52_13 = e0)
% 184.75/29.38    (31)   ~ (e2 = e1)
% 184.75/29.38    (32)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.75/29.38              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.75/29.38                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.75/29.38                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.75/29.38  
% 184.75/29.38  Begin of proof
% 184.75/29.38  | 
% 184.75/29.38  | BETA: splitting (25) gives:
% 184.75/29.38  | 
% 184.75/29.38  | Case 1:
% 184.75/29.38  | | 
% 184.75/29.38  | |   (33)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 184.75/29.38  | |           e3)
% 184.75/29.38  | | 
% 184.75/29.38  | | BETA: splitting (33) gives:
% 184.75/29.38  | | 
% 184.75/29.38  | | Case 1:
% 184.75/29.38  | | | 
% 184.75/29.38  | | |   (34)  all_56_2 = e3 & op(e2, e3) = e3
% 184.75/29.38  | | | 
% 184.75/29.38  | | | REF_CLOSE: (5), (22), (34) are inconsistent by sub-proof #1333.
% 184.75/29.38  | | | 
% 184.75/29.38  | | Case 2:
% 184.75/29.38  | | | 
% 184.75/29.38  | | |   (35)  all_56_3 = e3 & op(e2, e2) = e3
% 184.75/29.38  | | | 
% 184.75/29.38  | | | REF_CLOSE: (6), (19), (35) are inconsistent by sub-proof #788.
% 184.75/29.38  | | | 
% 184.75/29.38  | | End of split
% 184.75/29.38  | | 
% 184.75/29.38  | Case 2:
% 184.75/29.38  | | 
% 184.75/29.38  | |   (36)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 184.75/29.38  | |           e3)
% 184.75/29.38  | | 
% 184.75/29.38  | | BETA: splitting (36) gives:
% 184.75/29.38  | | 
% 184.75/29.38  | | Case 1:
% 184.75/29.38  | | | 
% 184.75/29.38  | | |   (37)  all_56_5 = e3 & op(e2, e1) = e3
% 184.75/29.38  | | | 
% 184.75/29.38  | | | ALPHA: (37) implies:
% 184.75/29.38  | | |   (38)  op(e2, e1) = e3
% 184.75/29.38  | | | 
% 184.75/29.38  | | | BETA: splitting (12) gives:
% 184.75/29.38  | | | 
% 184.75/29.38  | | | Case 1:
% 184.75/29.38  | | | | 
% 184.75/29.38  | | | |   (39)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2)
% 184.75/29.38  | | | |           = e2)
% 184.75/29.38  | | | | 
% 184.75/29.38  | | | | BETA: splitting (39) gives:
% 184.75/29.38  | | | | 
% 184.75/29.38  | | | | Case 1:
% 184.75/29.38  | | | | | 
% 184.75/29.38  | | | | |   (40)  all_56_1 = e2 & op(e3, e2) = e2
% 184.75/29.38  | | | | | 
% 184.75/29.38  | | | | | REF_CLOSE: (17), (22), (40) are inconsistent by sub-proof #1379.
% 184.75/29.38  | | | | | 
% 184.75/29.38  | | | | Case 2:
% 184.75/29.38  | | | | | 
% 184.75/29.38  | | | | |   (41)  all_56_3 = e2 & op(e2, e2) = e2
% 184.75/29.38  | | | | | 
% 184.75/29.38  | | | | | REF_CLOSE: (11), (19), (41) are inconsistent by sub-proof #939.
% 184.75/29.38  | | | | | 
% 184.75/29.38  | | | | End of split
% 184.75/29.38  | | | | 
% 184.75/29.38  | | | Case 2:
% 184.75/29.38  | | | | 
% 184.75/29.38  | | | |   (42)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2)
% 184.75/29.38  | | | |           = e2)
% 184.75/29.38  | | | | 
% 184.75/29.38  | | | | BETA: splitting (42) gives:
% 184.75/29.38  | | | | 
% 184.75/29.38  | | | | Case 1:
% 184.75/29.38  | | | | | 
% 184.75/29.38  | | | | |   (43)  all_56_7 = e2 & op(e1, e2) = e2
% 184.75/29.38  | | | | | 
% 184.75/29.38  | | | | | ALPHA: (43) implies:
% 184.75/29.38  | | | | |   (44)  op(e1, e2) = e2
% 184.75/29.38  | | | | | 
% 184.75/29.38  | | | | | REF_CLOSE: (14), (18), (28), (44) are inconsistent by sub-proof #1614.
% 184.75/29.38  | | | | | 
% 184.75/29.38  | | | | Case 2:
% 184.75/29.38  | | | | | 
% 184.75/29.38  | | | | |   (45)  all_56_13 = e2 & op(e0, e2) = e2
% 184.75/29.38  | | | | | 
% 184.75/29.38  | | | | | ALPHA: (45) implies:
% 184.75/29.38  | | | | |   (46)  all_56_13 = e2
% 184.75/29.38  | | | | | 
% 184.75/29.38  | | | | | BETA: splitting (15) gives:
% 184.75/29.38  | | | | | 
% 184.75/29.38  | | | | | Case 1:
% 184.75/29.38  | | | | | | 
% 184.75/29.38  | | | | | |   (47)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2,
% 184.75/29.38  | | | | | |             e1) = e0)
% 184.75/29.38  | | | | | | 
% 184.75/29.38  | | | | | | BETA: splitting (47) gives:
% 184.75/29.38  | | | | | | 
% 184.75/29.38  | | | | | | Case 1:
% 184.75/29.38  | | | | | | | 
% 184.75/29.38  | | | | | | |   (48)  all_56_4 = e0 & op(e3, e1) = e0
% 184.75/29.38  | | | | | | | 
% 184.75/29.38  | | | | | | | REF_CLOSE: (3), (16), (48) are inconsistent by sub-proof #1477.
% 184.75/29.38  | | | | | | | 
% 184.75/29.38  | | | | | | Case 2:
% 184.75/29.38  | | | | | | | 
% 184.75/29.38  | | | | | | |   (49)  all_56_5 = e0 & op(e2, e1) = e0
% 184.75/29.38  | | | | | | | 
% 184.75/29.38  | | | | | | | REF_CLOSE: (4), (10), (14), (49) are inconsistent by sub-proof
% 184.75/29.38  | | | | | | |            #1476.
% 184.75/29.38  | | | | | | | 
% 184.75/29.38  | | | | | | End of split
% 184.75/29.38  | | | | | | 
% 184.75/29.38  | | | | | Case 2:
% 184.75/29.38  | | | | | | 
% 184.75/29.38  | | | | | |   (50)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0,
% 184.75/29.38  | | | | | |             e1) = e0)
% 184.75/29.38  | | | | | | 
% 184.75/29.38  | | | | | | BETA: splitting (50) gives:
% 184.75/29.38  | | | | | | 
% 184.75/29.38  | | | | | | Case 1:
% 184.75/29.38  | | | | | | | 
% 184.75/29.38  | | | | | | |   (51)  all_56_8 = e0 & op(e1, e1) = e0
% 184.75/29.38  | | | | | | | 
% 184.75/29.38  | | | | | | | ALPHA: (51) implies:
% 184.75/29.38  | | | | | | |   (52)  op(e1, e1) = e0
% 184.75/29.38  | | | | | | | 
% 184.75/29.38  | | | | | | | REF_CLOSE: (11), (14), (29), (52) are inconsistent by sub-proof
% 184.75/29.38  | | | | | | |            #1230.
% 184.75/29.38  | | | | | | | 
% 184.75/29.38  | | | | | | Case 2:
% 184.75/29.38  | | | | | | | 
% 184.75/29.38  | | | | | | |   (53)  all_56_14 = e0 & op(e0, e1) = e0
% 184.75/29.38  | | | | | | | 
% 184.75/29.38  | | | | | | | ALPHA: (53) implies:
% 184.75/29.38  | | | | | | |   (54)  all_56_14 = e0
% 184.75/29.38  | | | | | | | 
% 184.75/29.38  | | | | | | | BETA: splitting (2) gives:
% 184.75/29.38  | | | | | | | 
% 184.75/29.38  | | | | | | | Case 1:
% 184.75/29.38  | | | | | | | | 
% 184.75/29.38  | | | | | | | |   (55)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 &
% 184.75/29.38  | | | | | | | |           op(e2, e2) = e1)
% 184.75/29.38  | | | | | | | | 
% 184.75/29.38  | | | | | | | | BETA: splitting (55) gives:
% 184.75/29.38  | | | | | | | | 
% 184.75/29.38  | | | | | | | | Case 1:
% 184.75/29.38  | | | | | | | | | 
% 184.75/29.38  | | | | | | | | |   (56)  all_56_1 = e1 & op(e3, e2) = e1
% 184.75/29.38  | | | | | | | | | 
% 184.75/29.38  | | | | | | | | | ALPHA: (56) implies:
% 184.75/29.38  | | | | | | | | |   (57)  all_56_1 = e1
% 184.75/29.38  | | | | | | | | | 
% 184.75/29.38  | | | | | | | | | COMBINE_EQS: (17), (57) imply:
% 184.75/29.38  | | | | | | | | |   (58)  e3 = e1
% 184.75/29.38  | | | | | | | | | 
% 184.75/29.38  | | | | | | | | | REDUCE: (13), (58) imply:
% 184.75/29.39  | | | | | | | | |   (59)  $false
% 184.75/29.39  | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | CLOSE: (59) is inconsistent.
% 184.75/29.39  | | | | | | | | | 
% 184.75/29.39  | | | | | | | | Case 2:
% 184.75/29.39  | | | | | | | | | 
% 184.75/29.39  | | | | | | | | |   (60)  all_56_3 = e1 & op(e2, e2) = e1
% 184.75/29.39  | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | ALPHA: (60) implies:
% 184.75/29.39  | | | | | | | | |   (61)  all_56_3 = e1
% 184.75/29.39  | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | COMBINE_EQS: (19), (61) imply:
% 184.75/29.39  | | | | | | | | |   (62)  e1 = e0
% 184.75/29.39  | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | SIMP: (62) implies:
% 184.75/29.39  | | | | | | | | |   (63)  e1 = e0
% 184.75/29.39  | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | REDUCE: (3), (63) imply:
% 184.75/29.39  | | | | | | | | |   (64)  $false
% 184.75/29.39  | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | CLOSE: (64) is inconsistent.
% 184.75/29.39  | | | | | | | | | 
% 184.75/29.39  | | | | | | | | End of split
% 184.75/29.39  | | | | | | | | 
% 184.75/29.39  | | | | | | | Case 2:
% 184.75/29.39  | | | | | | | | 
% 184.75/29.39  | | | | | | | |   (65)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 &
% 184.75/29.39  | | | | | | | |           op(e0, e2) = e1)
% 184.75/29.39  | | | | | | | | 
% 184.75/29.39  | | | | | | | | BETA: splitting (65) gives:
% 184.75/29.39  | | | | | | | | 
% 184.75/29.39  | | | | | | | | Case 1:
% 184.75/29.39  | | | | | | | | | 
% 184.75/29.39  | | | | | | | | |   (66)  all_56_7 = e1 & op(e1, e2) = e1
% 184.75/29.39  | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | ALPHA: (66) implies:
% 184.75/29.39  | | | | | | | | |   (67)  all_56_7 = e1
% 184.75/29.39  | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | BETA: splitting (20) gives:
% 184.75/29.39  | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | Case 1:
% 184.75/29.39  | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | |   (68)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1
% 184.75/29.39  | | | | | | | | | |           & op(e0, e2) = e1)
% 184.75/29.39  | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | BETA: splitting (68) gives:
% 184.75/29.39  | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | Case 1:
% 184.75/29.39  | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | |   (69)  all_56_12 = e1 & op(e0, e3) = e1
% 184.75/29.39  | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | ALPHA: (69) implies:
% 184.75/29.39  | | | | | | | | | | |   (70)  all_56_12 = e1
% 184.75/29.39  | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | BETA: splitting (26) gives:
% 184.75/29.39  | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | Case 1:
% 184.75/29.39  | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | |   (71)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 184.75/29.39  | | | | | | | | | | | |           e3 & op(e0, e2) = e3)
% 184.75/29.39  | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | REF_CLOSE: (13), (22), (46), (70), (71) are inconsistent by
% 184.75/29.39  | | | | | | | | | | | |            sub-proof #531.
% 184.75/29.39  | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | Case 2:
% 184.75/29.39  | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | |   (72)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 184.75/29.39  | | | | | | | | | | | |           e3 & op(e0, e0) = e3)
% 184.75/29.39  | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | BETA: splitting (72) gives:
% 184.75/29.39  | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | Case 1:
% 184.75/29.39  | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | |   (73)  all_56_14 = e3 & op(e0, e1) = e3
% 184.75/29.39  | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | REF_CLOSE: (6), (54), (73) are inconsistent by sub-proof
% 184.75/29.39  | | | | | | | | | | | | |            #530.
% 184.75/29.39  | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | Case 2:
% 184.75/29.39  | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | |   (74)  all_56_15 = e3 & op(e0, e0) = e3
% 184.75/29.39  | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | ALPHA: (74) implies:
% 184.75/29.39  | | | | | | | | | | | | |   (75)  all_56_15 = e3
% 184.75/29.39  | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | BETA: splitting (32) gives:
% 184.75/29.39  | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | Case 1:
% 184.75/29.39  | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | |   (76)  all_56_15 = e0 & op(e0, e0) = e0
% 184.75/29.39  | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | ALPHA: (76) implies:
% 184.75/29.39  | | | | | | | | | | | | | |   (77)  all_56_15 = e0
% 184.75/29.39  | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | REF_CLOSE: (6), (75), (77) are inconsistent by sub-proof
% 184.75/29.39  | | | | | | | | | | | | | |            #1208.
% 184.75/29.39  | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | Case 2:
% 184.75/29.39  | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | |   (78)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 184.75/29.39  | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 184.75/29.39  | | | | | | | | | | | | | |             op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 184.75/29.39  | | | | | | | | | | | | | |               e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 184.75/29.39  | | | | | | | | | | | | | |             e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 184.75/29.39  | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | ALPHA: (78) implies:
% 184.75/29.39  | | | | | | | | | | | | | |   (79)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 184.75/29.39  | | | | | | | | | | | | | |           e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 184.75/29.39  | | | | | | | | | | | | | |             e0) = e0)
% 184.75/29.39  | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 184.75/29.39  | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | Case 1:
% 184.75/29.39  | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | |   (80)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 184.75/29.39  | | | | | | | | | | | | | | |           & op(e1, e2) = e3)
% 184.75/29.39  | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | BETA: splitting (80) gives:
% 184.75/29.39  | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | Case 1:
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | |   (81)  all_56_6 = e3 & op(e1, e3) = e3
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | ALPHA: (81) implies:
% 184.75/29.39  | | | | | | | | | | | | | | | |   (82)  all_56_6 = e3
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.39  | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | |   (83)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 184.75/29.39  | | | | | | | | | | | | | | | | |           & op(e2, e3) = e1)
% 184.75/29.39  | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | BETA: splitting (83) gives:
% 184.75/29.39  | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | |   (84)  all_56_0 = e1 & op(e3, e3) = e1
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (7), (84) are inconsistent by sub-proof #294.
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | |   (85)  all_56_2 = e1 & op(e2, e3) = e1
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | | ALPHA: (85) implies:
% 184.75/29.39  | | | | | | | | | | | | | | | | | |   (86)  all_56_2 = e1
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (31), (86) are inconsistent by sub-proof
% 184.75/29.39  | | | | | | | | | | | | | | | | | |            #1363.
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | End of split
% 184.75/29.39  | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.39  | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | |   (87)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 184.75/29.39  | | | | | | | | | | | | | | | | |           e1 & op(e0, e3) = e1)
% 184.75/29.39  | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 184.75/29.39  | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | |   (88)  all_56_6 = e1 & op(e1, e3) = e1
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | | ALPHA: (88) implies:
% 184.75/29.39  | | | | | | | | | | | | | | | | | |   (89)  all_56_6 = e1
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (82), (89) imply:
% 184.75/29.39  | | | | | | | | | | | | | | | | | |   (90)  e3 = e1
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | | SIMP: (90) implies:
% 184.75/29.39  | | | | | | | | | | | | | | | | | |   (91)  e3 = e1
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (75), (91) imply:
% 184.75/29.39  | | | | | | | | | | | | | | | | | |   (92)  all_56_15 = e1
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (6), (11), (13), (14), (21), (22), (23),
% 184.75/29.39  | | | | | | | | | | | | | | | | | |            (24), (30), (32), (92) are inconsistent by
% 184.75/29.39  | | | | | | | | | | | | | | | | | |            sub-proof #904.
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (14) with e1, e3, e1, e2,
% 184.75/29.39  | | | | | | | | | | | | | | | | | |              simplifying with (8), (38) gives:
% 184.75/29.39  | | | | | | | | | | | | | | | | | |   (93)  e3 = e1
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (75), (93) imply:
% 184.75/29.39  | | | | | | | | | | | | | | | | | |   (94)  all_56_15 = e1
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (6), (11), (13), (14), (21), (22), (23),
% 184.75/29.39  | | | | | | | | | | | | | | | | | |            (24), (30), (32), (94) are inconsistent by
% 184.75/29.39  | | | | | | | | | | | | | | | | | |            sub-proof #904.
% 184.75/29.39  | | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | | End of split
% 184.75/29.39  | | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | End of split
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | Case 2:
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | |   (95)  all_56_7 = e3 & op(e1, e2) = e3
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | ALPHA: (95) implies:
% 184.75/29.39  | | | | | | | | | | | | | | | |   (96)  all_56_7 = e3
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | COMBINE_EQS: (67), (96) imply:
% 184.75/29.39  | | | | | | | | | | | | | | | |   (97)  e3 = e1
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | COMBINE_EQS: (75), (97) imply:
% 184.75/29.39  | | | | | | | | | | | | | | | |   (98)  all_56_15 = e1
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (6), (11), (13), (14), (21), (22), (23),
% 184.75/29.39  | | | | | | | | | | | | | | | |            (24), (30), (32), (98) are inconsistent by
% 184.75/29.39  | | | | | | | | | | | | | | | |            sub-proof #904.
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | End of split
% 184.75/29.39  | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | Case 2:
% 184.75/29.39  | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | |   (99)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 184.75/29.39  | | | | | | | | | | | | | | |           e3 & op(e1, e0) = e3)
% 184.75/29.39  | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 184.75/29.39  | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | Case 1:
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | |   (100)  all_56_8 = e3 & op(e1, e1) = e3
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | ALPHA: (100) implies:
% 184.75/29.39  | | | | | | | | | | | | | | | |   (101)  op(e1, e1) = e3
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | REF_CLOSE: (14), (22), (29), (101) are inconsistent by
% 184.75/29.39  | | | | | | | | | | | | | | | |            sub-proof #1164.
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | Case 2:
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | |   (102)  all_56_11 = e3 & op(e1, e0) = e3
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | ALPHA: (102) implies:
% 184.75/29.39  | | | | | | | | | | | | | | | |   (103)  all_56_11 = e3
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (11), (14), (21), (30), (79), (103) are
% 184.75/29.39  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #540.
% 184.75/29.39  | | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | | End of split
% 184.75/29.39  | | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | | End of split
% 184.75/29.39  | | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | | End of split
% 184.75/29.39  | | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | | End of split
% 184.75/29.39  | | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | End of split
% 184.75/29.39  | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | Case 2:
% 184.75/29.39  | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | |   (104)  all_56_13 = e1 & op(e0, e2) = e1
% 184.75/29.39  | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | ALPHA: (104) implies:
% 184.75/29.39  | | | | | | | | | | |   (105)  all_56_13 = e1
% 184.75/29.39  | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | | REF_CLOSE: (31), (46), (105) are inconsistent by sub-proof
% 184.75/29.39  | | | | | | | | | | |            #1086.
% 184.75/29.39  | | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | End of split
% 184.75/29.39  | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | Case 2:
% 184.75/29.39  | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | |   (106)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 184.75/29.39  | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 184.75/29.39  | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | | REF_CLOSE: (1), (3), (6), (11), (13), (14), (21), (22), (23),
% 184.75/29.39  | | | | | | | | | |            (24), (30), (32), (54), (106) are inconsistent by
% 184.75/29.39  | | | | | | | | | |            sub-proof #673.
% 184.75/29.39  | | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | End of split
% 184.75/29.39  | | | | | | | | | 
% 184.75/29.39  | | | | | | | | Case 2:
% 184.75/29.39  | | | | | | | | | 
% 184.75/29.39  | | | | | | | | |   (107)  all_56_13 = e1 & op(e0, e2) = e1
% 184.75/29.39  | | | | | | | | | 
% 184.75/29.39  | | | | | | | | | REF_CLOSE: (31), (46), (107) are inconsistent by sub-proof
% 184.75/29.39  | | | | | | | | |            #1122.
% 184.75/29.39  | | | | | | | | | 
% 184.75/29.39  | | | | | | | | End of split
% 184.75/29.39  | | | | | | | | 
% 184.75/29.39  | | | | | | | End of split
% 184.75/29.39  | | | | | | | 
% 184.75/29.39  | | | | | | End of split
% 184.75/29.39  | | | | | | 
% 184.75/29.39  | | | | | End of split
% 184.75/29.39  | | | | | 
% 184.75/29.39  | | | | End of split
% 184.75/29.39  | | | | 
% 184.75/29.39  | | | End of split
% 184.75/29.39  | | | 
% 184.75/29.39  | | Case 2:
% 184.75/29.39  | | | 
% 184.75/29.39  | | |   (108)  all_56_10 = e3 & op(e2, e0) = e3
% 184.75/29.39  | | | 
% 184.75/29.39  | | | ALPHA: (108) implies:
% 184.75/29.39  | | |   (109)  all_56_10 = e3
% 184.75/29.39  | | | 
% 184.75/29.39  | | | REF_CLOSE: (13), (23), (109) are inconsistent by sub-proof #1489.
% 184.75/29.39  | | | 
% 184.75/29.39  | | End of split
% 184.75/29.39  | | 
% 184.75/29.39  | End of split
% 184.75/29.39  | 
% 184.75/29.39  End of proof
% 184.75/29.39  
% 184.75/29.39  Sub-proof #291 shows that the following formulas are inconsistent:
% 184.75/29.39  ----------------------------------------------------------------
% 184.75/29.39    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.75/29.39         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.75/29.39    (2)  all_56_9 = e2
% 184.75/29.39    (3)   ~ (e1 = e0)
% 184.75/29.39    (4)   ~ (all_52_9 = e0)
% 184.75/29.39    (5)   ~ (e3 = e0)
% 184.75/29.39    (6)  all_56_0 = e0
% 184.75/29.39    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 184.75/29.39         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.75/29.39    (8)  op(e2, e1) = all_52_9
% 184.75/29.39    (9)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.75/29.39         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.75/29.39    (10)   ~ (all_52_6 = e0)
% 184.75/29.39    (11)   ~ (e2 = e0)
% 184.75/29.39    (12)   ~ (e3 = e1)
% 184.75/29.39    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.39            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.39    (14)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.75/29.39          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.75/29.39    (15)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 184.75/29.39          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 184.75/29.39    (16)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.75/29.39          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.75/29.39            e1)
% 184.75/29.39    (17)  op(e2, e0) = all_52_13
% 184.75/29.39    (18)   ~ (e3 = e2)
% 184.75/29.39    (19)  all_56_10 = e1
% 184.75/29.39    (20)  all_56_2 = e3
% 184.75/29.39    (21)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 184.75/29.39          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.75/29.39    (22)  all_56_1 = e1
% 184.75/29.39    (23)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.75/29.39          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.75/29.39    (24)  op(e1, e2) = all_52_6
% 184.75/29.39    (25)  op(e1, e1) = e2
% 184.75/29.39    (26)   ~ (all_52_13 = e0)
% 184.75/29.39    (27)   ~ (e2 = e1)
% 184.75/29.39    (28)  all_56_13 = e2
% 184.75/29.39    (29)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.75/29.39              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.75/29.39                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.75/29.39                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.75/29.39  
% 184.75/29.39  Begin of proof
% 184.75/29.39  | 
% 184.75/29.39  | BETA: splitting (15) gives:
% 184.75/29.39  | 
% 184.75/29.39  | Case 1:
% 184.75/29.39  | | 
% 184.75/29.39  | |   (30)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 184.75/29.39  | |           e3)
% 184.75/29.39  | | 
% 184.75/29.39  | | REF_CLOSE: (5), (6), (12), (22), (30) are inconsistent by sub-proof #293.
% 184.75/29.39  | | 
% 184.75/29.39  | Case 2:
% 184.75/29.39  | | 
% 184.75/29.39  | |   (31)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 184.75/29.39  | |           e3)
% 184.75/29.39  | | 
% 184.75/29.39  | | BETA: splitting (31) gives:
% 184.75/29.39  | | 
% 184.75/29.39  | | Case 1:
% 184.75/29.39  | | | 
% 184.75/29.39  | | |   (32)  all_56_4 = e3 & op(e3, e1) = e3
% 184.75/29.39  | | | 
% 184.75/29.39  | | | ALPHA: (32) implies:
% 184.75/29.39  | | |   (33)  all_56_4 = e3
% 184.75/29.39  | | | 
% 184.75/29.39  | | | BETA: splitting (14) gives:
% 184.75/29.39  | | | 
% 184.75/29.39  | | | Case 1:
% 184.75/29.39  | | | | 
% 184.75/29.39  | | | |   (34)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1)
% 184.75/29.39  | | | |           = e0)
% 184.75/29.39  | | | | 
% 184.75/29.39  | | | | BETA: splitting (34) gives:
% 184.75/29.39  | | | | 
% 184.75/29.39  | | | | Case 1:
% 184.75/29.39  | | | | | 
% 184.75/29.39  | | | | |   (35)  all_56_4 = e0 & op(e3, e1) = e0
% 184.75/29.39  | | | | | 
% 184.75/29.39  | | | | | REF_CLOSE: (5), (33), (35) are inconsistent by sub-proof #591.
% 184.75/29.39  | | | | | 
% 184.75/29.39  | | | | Case 2:
% 184.75/29.39  | | | | | 
% 184.75/29.39  | | | | |   (36)  all_56_5 = e0 & op(e2, e1) = e0
% 184.75/29.39  | | | | | 
% 184.75/29.39  | | | | | REF_CLOSE: (4), (8), (13), (36) are inconsistent by sub-proof #1476.
% 184.75/29.39  | | | | | 
% 184.75/29.39  | | | | End of split
% 184.75/29.39  | | | | 
% 184.75/29.39  | | | Case 2:
% 184.75/29.39  | | | | 
% 184.75/29.39  | | | |   (37)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1)
% 184.75/29.39  | | | |           = e0)
% 184.75/29.39  | | | | 
% 184.75/29.39  | | | | BETA: splitting (37) gives:
% 184.75/29.39  | | | | 
% 184.75/29.39  | | | | Case 1:
% 184.75/29.39  | | | | | 
% 184.75/29.39  | | | | |   (38)  all_56_8 = e0 & op(e1, e1) = e0
% 184.75/29.39  | | | | | 
% 184.75/29.39  | | | | | ALPHA: (38) implies:
% 184.75/29.39  | | | | |   (39)  op(e1, e1) = e0
% 184.75/29.39  | | | | | 
% 184.75/29.39  | | | | | REF_CLOSE: (11), (13), (25), (39) are inconsistent by sub-proof #1230.
% 184.75/29.39  | | | | | 
% 184.75/29.39  | | | | Case 2:
% 184.75/29.39  | | | | | 
% 184.75/29.39  | | | | |   (40)  all_56_14 = e0 & op(e0, e1) = e0
% 184.75/29.39  | | | | | 
% 184.75/29.39  | | | | | ALPHA: (40) implies:
% 184.75/29.39  | | | | |   (41)  all_56_14 = e0
% 184.75/29.39  | | | | | 
% 184.75/29.39  | | | | | BETA: splitting (7) gives:
% 184.75/29.39  | | | | | 
% 184.75/29.39  | | | | | Case 1:
% 184.75/29.39  | | | | | | 
% 184.75/29.39  | | | | | |   (42)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2,
% 184.75/29.39  | | | | | |             e3) = e2)
% 184.75/29.39  | | | | | | 
% 184.75/29.39  | | | | | | BETA: splitting (42) gives:
% 184.75/29.39  | | | | | | 
% 184.75/29.39  | | | | | | Case 1:
% 184.75/29.39  | | | | | | | 
% 184.75/29.39  | | | | | | |   (43)  all_56_0 = e2 & op(e3, e3) = e2
% 184.75/29.39  | | | | | | | 
% 184.75/29.39  | | | | | | | REF_CLOSE: (6), (11), (43) are inconsistent by sub-proof #325.
% 184.75/29.39  | | | | | | | 
% 184.75/29.39  | | | | | | Case 2:
% 184.75/29.39  | | | | | | | 
% 184.75/29.39  | | | | | | |   (44)  all_56_2 = e2 & op(e2, e3) = e2
% 184.75/29.39  | | | | | | | 
% 184.75/29.39  | | | | | | | ALPHA: (44) implies:
% 184.75/29.39  | | | | | | |   (45)  all_56_2 = e2
% 184.75/29.39  | | | | | | | 
% 184.75/29.39  | | | | | | | REF_CLOSE: (18), (20), (45) are inconsistent by sub-proof #1414.
% 184.75/29.39  | | | | | | | 
% 184.75/29.39  | | | | | | End of split
% 184.75/29.39  | | | | | | 
% 184.75/29.39  | | | | | Case 2:
% 184.75/29.39  | | | | | | 
% 184.75/29.39  | | | | | |   (46)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0,
% 184.75/29.39  | | | | | |             e3) = e2)
% 184.75/29.39  | | | | | | 
% 184.75/29.39  | | | | | | REF_CLOSE: (1), (2), (3), (5), (9), (10), (11), (12), (13), (16),
% 184.75/29.39  | | | | | |            (17), (18), (19), (21), (23), (24), (25), (26), (27),
% 184.75/29.39  | | | | | |            (28), (29), (41), (46) are inconsistent by sub-proof
% 184.75/29.39  | | | | | |            #292.
% 184.75/29.39  | | | | | | 
% 184.75/29.39  | | | | | End of split
% 184.75/29.39  | | | | | 
% 184.75/29.39  | | | | End of split
% 184.75/29.39  | | | | 
% 184.75/29.39  | | | End of split
% 184.75/29.39  | | | 
% 184.75/29.39  | | Case 2:
% 184.75/29.39  | | | 
% 184.75/29.39  | | |   (47)  all_56_9 = e3 & op(e3, e0) = e3
% 184.75/29.39  | | | 
% 184.75/29.39  | | | REF_CLOSE: (2), (18), (47) are inconsistent by sub-proof #1401.
% 184.75/29.39  | | | 
% 184.75/29.39  | | End of split
% 184.75/29.39  | | 
% 184.75/29.39  | End of split
% 184.75/29.39  | 
% 184.75/29.39  End of proof
% 184.75/29.39  
% 184.75/29.39  Sub-proof #292 shows that the following formulas are inconsistent:
% 184.75/29.39  ----------------------------------------------------------------
% 184.75/29.39    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.75/29.39         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.75/29.39    (2)  all_56_9 = e2
% 184.75/29.39    (3)   ~ (e1 = e0)
% 184.75/29.39    (4)   ~ (e3 = e0)
% 184.75/29.39    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.75/29.39         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.75/29.39    (6)   ~ (all_52_6 = e0)
% 184.75/29.39    (7)   ~ (e2 = e0)
% 184.75/29.39    (8)   ~ (e3 = e1)
% 184.75/29.39    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.39           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.39    (10)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.75/29.39    (11)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.75/29.39          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.75/29.39            e1)
% 184.75/29.39    (12)  op(e2, e0) = all_52_13
% 184.75/29.39    (13)   ~ (e3 = e2)
% 184.75/29.39    (14)  all_56_10 = e1
% 184.75/29.39    (15)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 184.75/29.39          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.75/29.39    (16)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.75/29.39          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.75/29.39    (17)  op(e1, e2) = all_52_6
% 184.75/29.39    (18)  op(e1, e1) = e2
% 184.75/29.39    (19)   ~ (all_52_13 = e0)
% 184.75/29.39    (20)   ~ (e2 = e1)
% 184.75/29.39    (21)  all_56_13 = e2
% 184.75/29.39    (22)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.75/29.39              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.75/29.39                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.75/29.39                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.75/29.39    (23)  all_56_14 = e0
% 184.75/29.39  
% 184.75/29.39  Begin of proof
% 184.75/29.39  | 
% 184.75/29.39  | BETA: splitting (10) gives:
% 184.75/29.39  | 
% 184.75/29.39  | Case 1:
% 184.75/29.39  | | 
% 184.75/29.39  | |   (24)  all_56_6 = e2 & op(e1, e3) = e2
% 184.75/29.39  | | 
% 184.75/29.39  | | ALPHA: (24) implies:
% 184.75/29.39  | |   (25)  all_56_6 = e2
% 184.75/29.39  | | 
% 184.75/29.39  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (13), (16), (17), (18),
% 184.75/29.39  | |            (20), (25) are inconsistent by sub-proof #1161.
% 184.75/29.39  | | 
% 184.75/29.39  | Case 2:
% 184.75/29.39  | | 
% 184.75/29.39  | |   (26)  all_56_12 = e2 & op(e0, e3) = e2
% 184.75/29.39  | | 
% 184.75/29.39  | | ALPHA: (26) implies:
% 184.75/29.39  | |   (27)  all_56_12 = e2
% 184.75/29.39  | | 
% 184.75/29.39  | | REF_CLOSE: (2), (3), (4), (7), (8), (9), (11), (12), (13), (14), (15), (19),
% 184.75/29.39  | |            (20), (21), (22), (23), (27) are inconsistent by sub-proof #672.
% 184.75/29.39  | | 
% 184.75/29.39  | End of split
% 184.75/29.39  | 
% 184.75/29.39  End of proof
% 184.75/29.39  
% 184.75/29.39  Sub-proof #293 shows that the following formulas are inconsistent:
% 184.75/29.39  ----------------------------------------------------------------
% 184.75/29.39    (1)   ~ (e3 = e0)
% 184.75/29.39    (2)  all_56_0 = e0
% 184.75/29.39    (3)   ~ (e3 = e1)
% 184.75/29.39    (4)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 184.75/29.39    (5)  all_56_1 = e1
% 184.75/29.39  
% 184.75/29.39  Begin of proof
% 184.75/29.39  | 
% 184.75/29.39  | BETA: splitting (4) gives:
% 184.75/29.39  | 
% 184.75/29.39  | Case 1:
% 184.75/29.39  | | 
% 184.75/29.39  | |   (6)  all_56_0 = e3 & op(e3, e3) = e3
% 184.75/29.39  | | 
% 184.75/29.39  | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #375.
% 184.75/29.39  | | 
% 184.75/29.39  | Case 2:
% 184.75/29.39  | | 
% 184.75/29.39  | |   (7)  all_56_1 = e3 & op(e3, e2) = e3
% 184.75/29.39  | | 
% 184.75/29.39  | | ALPHA: (7) implies:
% 184.75/29.39  | |   (8)  all_56_1 = e3
% 184.75/29.39  | | 
% 184.75/29.39  | | REF_CLOSE: (3), (5), (8) are inconsistent by sub-proof #1403.
% 184.75/29.39  | | 
% 184.75/29.39  | End of split
% 184.75/29.39  | 
% 184.75/29.39  End of proof
% 184.75/29.39  
% 184.75/29.39  Sub-proof #294 shows that the following formulas are inconsistent:
% 184.75/29.39  ----------------------------------------------------------------
% 184.75/29.39    (1)  all_56_0 = e1 & op(e3, e3) = e1
% 184.75/29.39    (2)  all_56_0 = e0
% 184.75/29.39    (3)   ~ (e1 = e0)
% 184.75/29.39  
% 184.75/29.39  Begin of proof
% 184.75/29.39  | 
% 184.75/29.39  | ALPHA: (1) implies:
% 184.75/29.39  |   (4)  all_56_0 = e1
% 184.75/29.39  | 
% 184.75/29.39  | COMBINE_EQS: (2), (4) imply:
% 184.75/29.39  |   (5)  e1 = e0
% 184.75/29.39  | 
% 184.75/29.39  | SIMP: (5) implies:
% 184.75/29.39  |   (6)  e1 = e0
% 184.75/29.39  | 
% 184.75/29.39  | REDUCE: (3), (6) imply:
% 184.75/29.39  |   (7)  $false
% 184.75/29.39  | 
% 184.75/29.39  | CLOSE: (7) is inconsistent.
% 184.75/29.39  | 
% 184.75/29.39  End of proof
% 184.75/29.39  
% 184.75/29.39  Sub-proof #295 shows that the following formulas are inconsistent:
% 184.75/29.39  ----------------------------------------------------------------
% 184.75/29.39    (1)   ~ (all_4_2 = e0)
% 184.75/29.39    (2)  all_56_10 = e2
% 184.75/29.39    (3)   ~ (e1 = e0)
% 184.75/29.39    (4)   ~ (e3 = e0)
% 184.75/29.39    (5)   ~ (e2 = e0)
% 184.75/29.39    (6)   ~ (e3 = e1)
% 184.75/29.39    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.39           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.39    (8)  all_56_12 = e2
% 184.75/29.39    (9)   ~ (e3 = e2)
% 184.75/29.39    (10)  all_56_14 = e3
% 184.75/29.39    (11)  op(e3, e3) = all_4_2
% 184.75/29.39    (12)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.75/29.39          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.75/29.39    (13)  all_56_4 = e0
% 184.75/29.39    (14)  op(e1, e1) = e2
% 184.75/29.39    (15)   ~ (e2 = e1)
% 184.75/29.39    (16)  all_56_6 = e1
% 184.75/29.39    (17)  op(e2, e2) = e0
% 184.75/29.39    (18)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.75/29.39          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.75/29.39    (19)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.75/29.39          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.75/29.39  
% 184.75/29.39  Begin of proof
% 184.75/29.39  | 
% 184.75/29.39  | BETA: splitting (18) gives:
% 184.75/29.39  | 
% 184.75/29.39  | Case 1:
% 184.75/29.39  | | 
% 184.75/29.39  | |   (20)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 184.75/29.39  | |           e0)
% 184.75/29.39  | | 
% 184.75/29.39  | | BETA: splitting (20) gives:
% 184.75/29.39  | | 
% 184.75/29.39  | | Case 1:
% 184.75/29.39  | | | 
% 184.75/29.39  | | |   (21)  all_56_0 = e0 & op(e3, e3) = e0
% 184.75/29.39  | | | 
% 184.75/29.39  | | | ALPHA: (21) implies:
% 184.75/29.39  | | |   (22)  op(e3, e3) = e0
% 184.75/29.39  | | | 
% 184.75/29.39  | | | REF_CLOSE: (1), (7), (11), (22) are inconsistent by sub-proof #1624.
% 184.75/29.39  | | | 
% 184.75/29.39  | | Case 2:
% 184.75/29.39  | | | 
% 184.75/29.39  | | |   (23)  all_56_2 = e0 & op(e2, e3) = e0
% 184.75/29.39  | | | 
% 184.75/29.39  | | | ALPHA: (23) implies:
% 184.75/29.39  | | |   (24)  all_56_2 = e0
% 184.75/29.39  | | | 
% 184.75/29.39  | | | REF_CLOSE: (2), (3), (4), (6), (7), (9), (10), (12), (13), (14), (15),
% 184.75/29.39  | | |            (17), (19), (24) are inconsistent by sub-proof #320.
% 184.75/29.39  | | | 
% 184.75/29.39  | | End of split
% 184.75/29.39  | | 
% 184.75/29.39  | Case 2:
% 184.75/29.39  | | 
% 184.75/29.39  | |   (25)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 184.75/29.39  | |           e0)
% 184.75/29.39  | | 
% 184.75/29.39  | | BETA: splitting (25) gives:
% 184.75/29.39  | | 
% 184.75/29.39  | | Case 1:
% 184.75/29.39  | | | 
% 184.75/29.39  | | |   (26)  all_56_6 = e0 & op(e1, e3) = e0
% 184.75/29.39  | | | 
% 184.75/29.39  | | | ALPHA: (26) implies:
% 184.75/29.39  | | |   (27)  all_56_6 = e0
% 184.75/29.39  | | | 
% 184.75/29.39  | | | REF_CLOSE: (3), (16), (27) are inconsistent by sub-proof #1551.
% 184.75/29.39  | | | 
% 184.75/29.39  | | Case 2:
% 184.75/29.39  | | | 
% 184.75/29.39  | | |   (28)  all_56_12 = e0 & op(e0, e3) = e0
% 184.75/29.39  | | | 
% 184.75/29.39  | | | ALPHA: (28) implies:
% 184.75/29.39  | | |   (29)  all_56_12 = e0
% 184.75/29.39  | | | 
% 184.75/29.39  | | | REF_CLOSE: (5), (8), (29) are inconsistent by sub-proof #1548.
% 184.75/29.39  | | | 
% 184.75/29.39  | | End of split
% 184.75/29.39  | | 
% 184.75/29.39  | End of split
% 184.75/29.39  | 
% 184.75/29.39  End of proof
% 184.75/29.39  
% 184.75/29.39  Sub-proof #296 shows that the following formulas are inconsistent:
% 184.75/29.39  ----------------------------------------------------------------
% 184.75/29.39    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.75/29.39         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.75/29.39    (2)   ~ (all_4_2 = e0)
% 184.75/29.39    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.75/29.39         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.75/29.39    (4)   ~ (e1 = e0)
% 184.75/29.39    (5)   ~ (e3 = e0)
% 184.75/29.39    (6)  op(e0, e3) = e1
% 184.75/29.39    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 184.75/29.39         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 184.75/29.39    (8)  op(e2, e1) = e1
% 184.75/29.39    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 184.75/29.39         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.75/29.39    (10)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.75/29.40          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.75/29.40    (11)   ~ (all_52_6 = e0)
% 184.75/29.40    (12)   ~ (e2 = e0)
% 184.75/29.40    (13)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.75/29.40          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.75/29.40    (14)   ~ (e3 = e1)
% 184.75/29.40    (15)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 184.75/29.40          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 184.75/29.40    (16)   ~ (all_52_7 = e0)
% 184.75/29.40    (17)  op(e0, e3) = all_52_3
% 184.75/29.40    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.40            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.40    (19)   ~ (all_52_6 = e2)
% 184.75/29.40    (20)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.75/29.40          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.75/29.40    (21)  all_56_3 = e0
% 184.75/29.40    (22)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 184.75/29.40          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 184.75/29.40    (23)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 184.75/29.40          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.75/29.40    (24)   ~ (e3 = e2)
% 184.75/29.40    (25)  op(e3, e3) = e1
% 184.75/29.40    (26)  all_56_12 = e1
% 184.75/29.40    (27)  op(e3, e3) = all_4_2
% 184.75/29.40    (28)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.75/29.40          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.75/29.40    (29)  op(e3, e2) = all_52_4
% 184.75/29.40    (30)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.75/29.40          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 184.75/29.40            e3)
% 184.75/29.40    (31)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.75/29.40          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.75/29.40    (32)  op(e1, e2) = all_52_6
% 184.75/29.40    (33)   ~ (all_52_4 = e0)
% 184.75/29.40    (34)  all_56_9 = e1
% 184.75/29.40    (35)  op(e1, e1) = e2
% 184.75/29.40    (36)   ~ (e2 = e1)
% 184.75/29.40    (37)  op(e0, e2) = all_52_7
% 184.75/29.40    (38)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.75/29.40              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.75/29.40                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.75/29.40                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.75/29.40    (39)  op(e2, e2) = e0
% 184.75/29.40    (40)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.75/29.40          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.75/29.40    (41)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.75/29.40          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.75/29.40  
% 184.75/29.40  Begin of proof
% 184.75/29.40  | 
% 184.75/29.40  | BETA: splitting (7) gives:
% 184.75/29.40  | 
% 184.75/29.40  | Case 1:
% 184.75/29.40  | | 
% 184.75/29.40  | |   (42)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 184.75/29.40  | |           e0)
% 184.75/29.40  | | 
% 184.75/29.40  | | REF_CLOSE: (2), (18), (27), (29), (33), (42) are inconsistent by sub-proof
% 184.75/29.40  | |            #1060.
% 184.75/29.40  | | 
% 184.75/29.40  | Case 2:
% 184.75/29.40  | | 
% 184.75/29.40  | |   (43)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 184.75/29.40  | |           e0)
% 184.75/29.40  | | 
% 184.75/29.40  | | BETA: splitting (43) gives:
% 184.75/29.40  | | 
% 184.75/29.40  | | Case 1:
% 184.75/29.40  | | | 
% 184.75/29.40  | | |   (44)  all_56_4 = e0 & op(e3, e1) = e0
% 184.75/29.40  | | | 
% 184.75/29.40  | | | ALPHA: (44) implies:
% 184.75/29.40  | | |   (45)  all_56_4 = e0
% 184.75/29.40  | | | 
% 184.75/29.40  | | | BETA: splitting (40) gives:
% 184.75/29.40  | | | 
% 184.75/29.40  | | | Case 1:
% 184.75/29.40  | | | | 
% 184.75/29.40  | | | |   (46)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3)
% 184.75/29.40  | | | |           = e0)
% 184.75/29.40  | | | | 
% 184.75/29.40  | | | | BETA: splitting (46) gives:
% 184.75/29.40  | | | | 
% 184.75/29.40  | | | | Case 1:
% 184.75/29.40  | | | | | 
% 184.75/29.40  | | | | |   (47)  all_56_0 = e0 & op(e3, e3) = e0
% 184.75/29.40  | | | | | 
% 184.75/29.40  | | | | | ALPHA: (47) implies:
% 184.75/29.40  | | | | |   (48)  op(e3, e3) = e0
% 184.75/29.40  | | | | | 
% 184.75/29.40  | | | | | REF_CLOSE: (2), (18), (27), (48) are inconsistent by sub-proof #1624.
% 184.75/29.40  | | | | | 
% 184.75/29.40  | | | | Case 2:
% 184.75/29.40  | | | | | 
% 184.75/29.40  | | | | |   (49)  all_56_2 = e0 & op(e2, e3) = e0
% 184.75/29.40  | | | | | 
% 184.75/29.40  | | | | | ALPHA: (49) implies:
% 184.75/29.40  | | | | |   (50)  all_56_2 = e0
% 184.75/29.40  | | | | | 
% 184.75/29.40  | | | | | BETA: splitting (20) gives:
% 184.75/29.40  | | | | | 
% 184.75/29.40  | | | | | Case 1:
% 184.75/29.40  | | | | | | 
% 184.75/29.40  | | | | | |   (51)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2,
% 184.75/29.40  | | | | | |             e2) = e2)
% 184.75/29.40  | | | | | | 
% 184.75/29.40  | | | | | | BETA: splitting (51) gives:
% 184.75/29.40  | | | | | | 
% 184.75/29.40  | | | | | | Case 1:
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | |   (52)  all_56_2 = e2 & op(e2, e3) = e2
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | | REF_CLOSE: (12), (50), (52) are inconsistent by sub-proof #638.
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | Case 2:
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | |   (53)  all_56_3 = e2 & op(e2, e2) = e2
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | | REF_CLOSE: (12), (21), (53) are inconsistent by sub-proof #939.
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | End of split
% 184.75/29.40  | | | | | | 
% 184.75/29.40  | | | | | Case 2:
% 184.75/29.40  | | | | | | 
% 184.75/29.40  | | | | | |   (54)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2,
% 184.75/29.40  | | | | | |             e0) = e2)
% 184.75/29.40  | | | | | | 
% 184.75/29.40  | | | | | | BETA: splitting (54) gives:
% 184.75/29.40  | | | | | | 
% 184.75/29.40  | | | | | | Case 1:
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | |   (55)  all_56_5 = e2 & op(e2, e1) = e2
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | | ALPHA: (55) implies:
% 184.75/29.40  | | | | | | |   (56)  all_56_5 = e2
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | | REF_CLOSE: (3), (4), (5), (14), (18), (24), (35), (36), (41),
% 184.75/29.40  | | | | | | |            (45), (56) are inconsistent by sub-proof #932.
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | Case 2:
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | |   (57)  all_56_10 = e2 & op(e2, e0) = e2
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | | ALPHA: (57) implies:
% 184.75/29.40  | | | | | | |   (58)  all_56_10 = e2
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | | REF_CLOSE: (5), (8), (14), (18), (24), (28), (39), (50), (58) are
% 184.75/29.40  | | | | | | |            inconsistent by sub-proof #604.
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | End of split
% 184.75/29.40  | | | | | | 
% 184.75/29.40  | | | | | End of split
% 184.75/29.40  | | | | | 
% 184.75/29.40  | | | | End of split
% 184.75/29.40  | | | | 
% 184.75/29.40  | | | Case 2:
% 184.75/29.40  | | | | 
% 184.75/29.40  | | | |   (59)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3)
% 184.75/29.40  | | | |           = e0)
% 184.75/29.40  | | | | 
% 184.75/29.40  | | | | BETA: splitting (59) gives:
% 184.75/29.40  | | | | 
% 184.75/29.40  | | | | Case 1:
% 184.75/29.40  | | | | | 
% 184.75/29.40  | | | | |   (60)  all_56_6 = e0 & op(e1, e3) = e0
% 184.75/29.40  | | | | | 
% 184.75/29.40  | | | | | ALPHA: (60) implies:
% 184.75/29.40  | | | | |   (61)  all_56_6 = e0
% 184.75/29.40  | | | | | 
% 184.75/29.40  | | | | | BETA: splitting (23) gives:
% 184.75/29.40  | | | | | 
% 184.75/29.40  | | | | | Case 1:
% 184.75/29.40  | | | | | | 
% 184.75/29.40  | | | | | |   (62)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2,
% 184.75/29.40  | | | | | |             e0) = e2)
% 184.75/29.40  | | | | | | 
% 184.75/29.40  | | | | | | BETA: splitting (62) gives:
% 184.75/29.40  | | | | | | 
% 184.75/29.40  | | | | | | Case 1:
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | |   (63)  all_56_9 = e2 & op(e3, e0) = e2
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | | ALPHA: (63) implies:
% 184.75/29.40  | | | | | | |   (64)  all_56_9 = e2
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | | REF_CLOSE: (34), (36), (64) are inconsistent by sub-proof #1503.
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | Case 2:
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | |   (65)  all_56_10 = e2 & op(e2, e0) = e2
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | | ALPHA: (65) implies:
% 184.75/29.40  | | | | | | |   (66)  all_56_10 = e2
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | | BETA: splitting (28) gives:
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | 
% 184.75/29.40  | | | | | | | |   (67)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 &
% 184.75/29.40  | | | | | | | |           op(e2, e2) = e3)
% 184.75/29.40  | | | | | | | | 
% 184.75/29.40  | | | | | | | | BETA: splitting (67) gives:
% 184.75/29.40  | | | | | | | | 
% 184.75/29.40  | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | 
% 184.75/29.40  | | | | | | | | |   (68)  all_56_2 = e3 & op(e2, e3) = e3
% 184.75/29.40  | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | ALPHA: (68) implies:
% 184.75/29.40  | | | | | | | | |   (69)  all_56_2 = e3
% 184.75/29.40  | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | REF_CLOSE: (1), (3), (4), (5), (8), (9), (10), (11), (12),
% 184.75/29.40  | | | | | | | | |            (14), (18), (20), (21), (24), (25), (26), (28),
% 184.75/29.40  | | | | | | | | |            (31), (32), (35), (36), (39), (41), (44), (45),
% 184.75/29.40  | | | | | | | | |            (65), (66), (69) are inconsistent by sub-proof
% 184.75/29.40  | | | | | | | | |            #299.
% 184.75/29.40  | | | | | | | | | 
% 184.75/29.40  | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | 
% 184.75/29.40  | | | | | | | | |   (70)  all_56_3 = e3 & op(e2, e2) = e3
% 184.75/29.40  | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | ALPHA: (70) implies:
% 184.75/29.40  | | | | | | | | |   (71)  op(e2, e2) = e3
% 184.75/29.40  | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | REF_CLOSE: (5), (18), (39), (71) are inconsistent by sub-proof
% 184.75/29.40  | | | | | | | | |            #1015.
% 184.75/29.40  | | | | | | | | | 
% 184.75/29.40  | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | 
% 184.75/29.40  | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | 
% 184.75/29.40  | | | | | | | |   (72)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 184.75/29.40  | | | | | | | |           op(e2, e0) = e3)
% 184.75/29.40  | | | | | | | | 
% 184.75/29.40  | | | | | | | | REF_CLOSE: (8), (14), (18), (24), (66), (72) are inconsistent by
% 184.75/29.40  | | | | | | | |            sub-proof #630.
% 184.75/29.40  | | | | | | | | 
% 184.75/29.40  | | | | | | | End of split
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | End of split
% 184.75/29.40  | | | | | | 
% 184.75/29.40  | | | | | Case 2:
% 184.75/29.40  | | | | | | 
% 184.75/29.40  | | | | | |   (73)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 &
% 184.75/29.40  | | | | | |           op(e0, e0) = e2)
% 184.75/29.40  | | | | | | 
% 184.75/29.40  | | | | | | BETA: splitting (73) gives:
% 184.75/29.40  | | | | | | 
% 184.75/29.40  | | | | | | Case 1:
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | |   (74)  all_56_11 = e2 & op(e1, e0) = e2
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | | ALPHA: (74) implies:
% 184.75/29.40  | | | | | | |   (75)  all_56_11 = e2
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | | REF_CLOSE: (1), (4), (5), (14), (18), (24), (31), (35), (36),
% 184.75/29.40  | | | | | | |            (61), (75) are inconsistent by sub-proof #922.
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | Case 2:
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | |   (76)  all_56_15 = e2 & op(e0, e0) = e2
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | | ALPHA: (76) implies:
% 184.75/29.40  | | | | | | |   (77)  all_56_15 = e2
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | | BETA: splitting (22) gives:
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | 
% 184.75/29.40  | | | | | | | |   (78)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 &
% 184.75/29.40  | | | | | | | |           op(e3, e2) = e3)
% 184.75/29.40  | | | | | | | | 
% 184.75/29.40  | | | | | | | | BETA: splitting (78) gives:
% 184.75/29.40  | | | | | | | | 
% 184.75/29.40  | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | 
% 184.75/29.40  | | | | | | | | |   (79)  all_56_0 = e3 & op(e3, e3) = e3
% 184.75/29.40  | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | ALPHA: (79) implies:
% 184.75/29.40  | | | | | | | | |   (80)  all_56_0 = e3
% 184.75/29.40  | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | BETA: splitting (38) gives:
% 184.75/29.40  | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | |   (81)  all_56_15 = e0 & op(e0, e0) = e0
% 184.75/29.40  | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | ALPHA: (81) implies:
% 184.75/29.40  | | | | | | | | | |   (82)  all_56_15 = e0
% 184.75/29.40  | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | REF_CLOSE: (12), (77), (82) are inconsistent by sub-proof
% 184.75/29.40  | | | | | | | | | |            #920.
% 184.75/29.40  | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | |   (83)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0
% 184.75/29.40  | | | | | | | | | |             & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 184.75/29.40  | | | | | | | | | |               e0) = e0)) & ((all_56_12 = e0 & op(e0, e3) =
% 184.75/29.40  | | | | | | | | | |             e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 184.75/29.40  | | | | | | | | | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 184.75/29.40  | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | ALPHA: (83) implies:
% 184.75/29.40  | | | | | | | | | |   (84)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0
% 184.75/29.40  | | | | | | | | | |           & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 184.75/29.40  | | | | | | | | | |           = e0)
% 184.75/29.40  | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | BETA: splitting (84) gives:
% 184.75/29.40  | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | |   (85)  all_56_12 = e0 & op(e0, e3) = e0
% 184.75/29.40  | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | REF_CLOSE: (4), (26), (85) are inconsistent by sub-proof
% 184.75/29.40  | | | | | | | | | | |            #1444.
% 184.75/29.40  | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | |   (86)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 184.75/29.40  | | | | | | | | | | |           e0 & op(e0, e1) = e0)
% 184.75/29.40  | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | BETA: splitting (86) gives:
% 184.75/29.40  | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | |   (87)  all_56_13 = e0 & op(e0, e2) = e0
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | ALPHA: (87) implies:
% 184.75/29.40  | | | | | | | | | | | |   (88)  op(e0, e2) = e0
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | REF_CLOSE: (16), (18), (37), (88) are inconsistent by
% 184.75/29.40  | | | | | | | | | | | |            sub-proof #1463.
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | |   (89)  all_56_14 = e0 & op(e0, e1) = e0
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | ALPHA: (89) implies:
% 184.75/29.40  | | | | | | | | | | | |   (90)  all_56_14 = e0
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | BETA: splitting (9) gives:
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | |   (91)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 184.75/29.40  | | | | | | | | | | | | |           & op(e2, e3) = e2)
% 184.75/29.40  | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | BETA: splitting (91) gives:
% 184.75/29.40  | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | |   (92)  all_56_0 = e2 & op(e3, e3) = e2
% 184.75/29.40  | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | REF_CLOSE: (24), (80), (92) are inconsistent by sub-proof
% 184.75/29.40  | | | | | | | | | | | | | |            #974.
% 184.75/29.40  | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | |   (93)  all_56_2 = e2 & op(e2, e3) = e2
% 184.75/29.40  | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | ALPHA: (93) implies:
% 184.75/29.40  | | | | | | | | | | | | | |   (94)  all_56_2 = e2
% 184.75/29.40  | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | BETA: splitting (30) gives:
% 184.75/29.40  | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | |   (95)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 184.75/29.40  | | | | | | | | | | | | | | |           e3 & op(e0, e2) = e3)
% 184.75/29.40  | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | BETA: splitting (95) gives:
% 184.75/29.40  | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | |   (96)  all_56_12 = e3 & op(e0, e3) = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | ALPHA: (96) implies:
% 184.75/29.40  | | | | | | | | | | | | | | | |   (97)  op(e0, e3) = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14), (17), (18), (97) are inconsistent by
% 184.75/29.40  | | | | | | | | | | | | | | | |            sub-proof #1529.
% 184.75/29.40  | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | |   (98)  all_56_13 = e3 & op(e0, e2) = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | ALPHA: (98) implies:
% 184.75/29.40  | | | | | | | | | | | | | | | |   (99)  all_56_13 = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 184.75/29.40  | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | |   (100)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 184.75/29.40  | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 184.75/29.40  | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | |   (101)  all_56_2 = e3 & op(e2, e3) = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | ALPHA: (101) implies:
% 184.75/29.40  | | | | | | | | | | | | | | | | | |   (102)  all_56_2 = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (102) imply:
% 184.75/29.40  | | | | | | | | | | | | | | | | | |   (103)  e3 = e2
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (99), (103) imply:
% 184.75/29.40  | | | | | | | | | | | | | | | | | |   (104)  all_56_13 = e2
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14), (24), (26), (30), (77), (90), (104) are
% 184.75/29.40  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #528.
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | |   (105)  all_56_3 = e3 & op(e2, e2) = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | ALPHA: (105) implies:
% 184.75/29.40  | | | | | | | | | | | | | | | | | |   (106)  op(e2, e2) = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18), (39), (106) are inconsistent by
% 184.75/29.40  | | | | | | | | | | | | | | | | | |            sub-proof #1015.
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | |   (107)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 184.75/29.40  | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 184.75/29.40  | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 184.75/29.40  | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | |   (108)  all_56_5 = e3 & op(e2, e1) = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | ALPHA: (108) implies:
% 184.75/29.40  | | | | | | | | | | | | | | | | | |   (109)  op(e2, e1) = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14), (18), (109) are inconsistent by
% 184.75/29.40  | | | | | | | | | | | | | | | | | |            sub-proof #1456.
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | |   (110)  all_56_10 = e3 & op(e2, e0) = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | ALPHA: (110) implies:
% 184.75/29.40  | | | | | | | | | | | | | | | | | |   (111)  all_56_10 = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | BETA: splitting (3) gives:
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | |   (112)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | |   (113)  all_56_4 = e3 & op(e3, e1) = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | ALPHA: (113) implies:
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | |   (114)  all_56_4 = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (45), (114) imply:
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | |   (115)  e3 = e0
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (115) imply:
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | |   (116)  all_56_0 = e0
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (14), (15), (18), (21), (24), (26),
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | |            (28), (61), (94), (111), (116) are inconsistent by
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | |            sub-proof #374.
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | |   (117)  all_56_5 = e3 & op(e2, e1) = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | ALPHA: (117) implies:
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | |   (118)  op(e2, e1) = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14), (18), (118) are inconsistent by
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | |            sub-proof #1456.
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | |   (119)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 184.75/29.40  | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | |   (120)  all_56_8 = e3 & op(e1, e1) = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | ALPHA: (120) implies:
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | |   (121)  op(e1, e1) = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (24), (35), (121) are inconsistent by
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | |            sub-proof #1164.
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | |   (122)  all_56_14 = e3 & op(e0, e1) = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (14), (15), (18), (21), (24), (26),
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | |            (28), (35), (36), (39), (41), (45), (61), (80),
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | |            (90), (94), (122) are inconsistent by sub-proof
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | |            #298.
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | |   (123)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 184.75/29.40  | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 184.75/29.40  | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 184.75/29.40  | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | |   (124)  all_56_14 = e3 & op(e0, e1) = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (14), (15), (18), (21), (24), (26),
% 184.75/29.40  | | | | | | | | | | | | | | | |            (28), (35), (36), (39), (41), (45), (61), (80),
% 184.75/29.40  | | | | | | | | | | | | | | | |            (90), (94), (124) are inconsistent by sub-proof
% 184.75/29.40  | | | | | | | | | | | | | | | |            #298.
% 184.75/29.40  | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | |   (125)  all_56_15 = e3 & op(e0, e0) = e3
% 184.75/29.40  | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | | REF_CLOSE: (24), (77), (125) are inconsistent by sub-proof
% 184.75/29.40  | | | | | | | | | | | | | | | |            #529.
% 184.75/29.40  | | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | |   (126)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 184.75/29.40  | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 184.75/29.40  | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | BETA: splitting (126) gives:
% 184.75/29.40  | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | |   (127)  all_56_6 = e2 & op(e1, e3) = e2
% 184.75/29.40  | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | ALPHA: (127) implies:
% 184.75/29.40  | | | | | | | | | | | | | |   (128)  all_56_6 = e2
% 184.75/29.40  | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | REF_CLOSE: (1), (4), (5), (10), (11), (12), (14), (18), (24),
% 184.75/29.40  | | | | | | | | | | | | | |            (31), (32), (35), (36), (128) are inconsistent by
% 184.75/29.40  | | | | | | | | | | | | | |            sub-proof #1161.
% 184.75/29.40  | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | |   (129)  all_56_12 = e2 & op(e0, e3) = e2
% 184.75/29.40  | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | ALPHA: (129) implies:
% 184.75/29.40  | | | | | | | | | | | | | |   (130)  all_56_12 = e2
% 184.75/29.40  | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | | REF_CLOSE: (26), (36), (130) are inconsistent by sub-proof
% 184.75/29.40  | | | | | | | | | | | | | |            #1383.
% 184.75/29.40  | | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | 
% 184.75/29.40  | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | 
% 184.75/29.40  | | | | | | | | |   (131)  all_56_1 = e3 & op(e3, e2) = e3
% 184.75/29.40  | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | ALPHA: (131) implies:
% 184.75/29.40  | | | | | | | | |   (132)  all_56_1 = e3
% 184.75/29.40  | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | BETA: splitting (38) gives:
% 184.75/29.40  | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | |   (133)  all_56_15 = e0 & op(e0, e0) = e0
% 184.75/29.40  | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | ALPHA: (133) implies:
% 184.75/29.40  | | | | | | | | | |   (134)  all_56_15 = e0
% 184.75/29.40  | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | REF_CLOSE: (12), (77), (134) are inconsistent by sub-proof
% 184.75/29.40  | | | | | | | | | |            #920.
% 184.75/29.40  | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | |   (135)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 184.75/29.40  | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 184.75/29.40  | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 184.75/29.40  | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 184.75/29.40  | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 184.75/29.40  | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | ALPHA: (135) implies:
% 184.75/29.40  | | | | | | | | | |   (136)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 184.75/29.40  | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 184.75/29.40  | | | | | | | | | |              e1) = e0)
% 184.75/29.40  | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | BETA: splitting (13) gives:
% 184.75/29.40  | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | |   (137)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 184.75/29.40  | | | | | | | | | | |            & op(e2, e2) = e2)
% 184.75/29.40  | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | BETA: splitting (137) gives:
% 184.75/29.40  | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | |   (138)  all_56_1 = e2 & op(e3, e2) = e2
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | REF_CLOSE: (24), (132), (138) are inconsistent by sub-proof
% 184.75/29.40  | | | | | | | | | | | |            #1379.
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | |   (139)  all_56_3 = e2 & op(e2, e2) = e2
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | REF_CLOSE: (12), (21), (139) are inconsistent by sub-proof
% 184.75/29.40  | | | | | | | | | | | |            #939.
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | |   (140)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 184.75/29.40  | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 184.75/29.40  | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | BETA: splitting (140) gives:
% 184.75/29.40  | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | Case 1:
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | |   (141)  all_56_7 = e2 & op(e1, e2) = e2
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | ALPHA: (141) implies:
% 184.75/29.40  | | | | | | | | | | | |   (142)  op(e1, e2) = e2
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | REF_CLOSE: (18), (19), (32), (142) are inconsistent by
% 184.75/29.40  | | | | | | | | | | | |            sub-proof #1614.
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | |   (143)  all_56_13 = e2 & op(e0, e2) = e2
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | ALPHA: (143) implies:
% 184.75/29.40  | | | | | | | | | | | |   (144)  all_56_13 = e2
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | | REF_CLOSE: (4), (5), (14), (16), (18), (24), (26), (30),
% 184.75/29.40  | | | | | | | | | | | |            (37), (77), (136), (144) are inconsistent by
% 184.75/29.40  | | | | | | | | | | | |            sub-proof #527.
% 184.75/29.40  | | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | | 
% 184.75/29.40  | | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | | 
% 184.75/29.40  | | | | | | | | End of split
% 184.75/29.40  | | | | | | | | 
% 184.75/29.40  | | | | | | | Case 2:
% 184.75/29.40  | | | | | | | | 
% 184.75/29.40  | | | | | | | |   (145)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 &
% 184.75/29.40  | | | | | | | |            op(e3, e0) = e3)
% 184.75/29.40  | | | | | | | | 
% 184.75/29.40  | | | | | | | | REF_CLOSE: (5), (14), (34), (45), (145) are inconsistent by
% 184.75/29.40  | | | | | | | |            sub-proof #297.
% 184.75/29.40  | | | | | | | | 
% 184.75/29.40  | | | | | | | End of split
% 184.75/29.40  | | | | | | | 
% 184.75/29.40  | | | | | | End of split
% 184.75/29.40  | | | | | | 
% 184.75/29.40  | | | | | End of split
% 184.75/29.40  | | | | | 
% 184.75/29.40  | | | | Case 2:
% 184.75/29.40  | | | | | 
% 184.75/29.40  | | | | |   (146)  all_56_12 = e0 & op(e0, e3) = e0
% 184.75/29.40  | | | | | 
% 184.75/29.40  | | | | | REF_CLOSE: (4), (26), (146) are inconsistent by sub-proof #1444.
% 184.75/29.40  | | | | | 
% 184.75/29.40  | | | | End of split
% 184.75/29.40  | | | | 
% 184.75/29.40  | | | End of split
% 184.75/29.40  | | | 
% 184.75/29.40  | | Case 2:
% 184.75/29.40  | | | 
% 184.75/29.40  | | |   (147)  all_56_9 = e0 & op(e3, e0) = e0
% 184.75/29.40  | | | 
% 184.75/29.40  | | | REF_CLOSE: (4), (34), (147) are inconsistent by sub-proof #1505.
% 184.75/29.40  | | | 
% 184.75/29.40  | | End of split
% 184.75/29.40  | | 
% 184.75/29.40  | End of split
% 184.75/29.40  | 
% 184.75/29.40  End of proof
% 184.75/29.40  
% 184.75/29.40  Sub-proof #297 shows that the following formulas are inconsistent:
% 184.75/29.40  ----------------------------------------------------------------
% 184.75/29.40    (1)   ~ (e3 = e0)
% 184.75/29.40    (2)   ~ (e3 = e1)
% 184.75/29.40    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 184.75/29.40    (4)  all_56_4 = e0
% 184.75/29.40    (5)  all_56_9 = e1
% 184.75/29.40  
% 184.75/29.40  Begin of proof
% 184.75/29.40  | 
% 184.75/29.40  | BETA: splitting (3) gives:
% 184.75/29.40  | 
% 184.75/29.40  | Case 1:
% 184.75/29.40  | | 
% 184.75/29.40  | |   (6)  all_56_4 = e3 & op(e3, e1) = e3
% 184.75/29.40  | | 
% 184.75/29.40  | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #910.
% 184.75/29.40  | | 
% 184.75/29.40  | Case 2:
% 184.75/29.40  | | 
% 184.75/29.40  | |   (7)  all_56_9 = e3 & op(e3, e0) = e3
% 184.75/29.40  | | 
% 184.75/29.40  | | ALPHA: (7) implies:
% 184.75/29.40  | |   (8)  all_56_9 = e3
% 184.75/29.40  | | 
% 184.75/29.40  | | REF_CLOSE: (2), (5), (8) are inconsistent by sub-proof #1376.
% 184.75/29.40  | | 
% 184.75/29.40  | End of split
% 184.75/29.40  | 
% 184.75/29.40  End of proof
% 184.75/29.40  
% 184.75/29.40  Sub-proof #298 shows that the following formulas are inconsistent:
% 184.75/29.40  ----------------------------------------------------------------
% 184.75/29.40    (1)  all_56_6 = e0
% 184.75/29.40    (2)  all_56_0 = e3
% 184.75/29.40    (3)   ~ (e1 = e0)
% 184.75/29.40    (4)  all_56_2 = e2
% 184.75/29.40    (5)   ~ (e3 = e0)
% 184.75/29.40    (6)  op(e2, e1) = e1
% 184.75/29.40    (7)   ~ (e3 = e1)
% 184.75/29.40    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 184.75/29.40         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 184.75/29.40    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.40           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.40    (10)  all_56_3 = e0
% 184.75/29.40    (11)   ~ (e3 = e2)
% 184.75/29.40    (12)  all_56_12 = e1
% 184.75/29.40    (13)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.75/29.40          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.75/29.40    (14)  all_56_4 = e0
% 184.75/29.40    (15)  op(e1, e1) = e2
% 184.75/29.41    (16)   ~ (e2 = e1)
% 184.75/29.41    (17)  all_56_14 = e3 & op(e0, e1) = e3
% 184.75/29.41    (18)  all_56_14 = e0
% 184.75/29.41    (19)  op(e2, e2) = e0
% 184.75/29.41    (20)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.75/29.41          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.75/29.41  
% 184.75/29.41  Begin of proof
% 184.75/29.41  | 
% 184.75/29.41  | ALPHA: (17) implies:
% 184.75/29.41  |   (21)  all_56_14 = e3
% 184.75/29.41  | 
% 184.75/29.41  | COMBINE_EQS: (18), (21) imply:
% 184.75/29.41  |   (22)  e3 = e0
% 184.75/29.41  | 
% 184.75/29.41  | COMBINE_EQS: (2), (22) imply:
% 184.75/29.41  |   (23)  all_56_0 = e0
% 184.75/29.41  | 
% 184.75/29.41  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 184.75/29.41  |            (14), (15), (16), (19), (20), (21), (23) are inconsistent by
% 184.75/29.41  |            sub-proof #324.
% 184.75/29.41  | 
% 184.75/29.41  End of proof
% 184.75/29.41  
% 184.75/29.41  Sub-proof #299 shows that the following formulas are inconsistent:
% 184.75/29.41  ----------------------------------------------------------------
% 184.75/29.41    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.75/29.41         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.75/29.41    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.75/29.41         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.75/29.41    (3)  all_56_10 = e2
% 184.75/29.41    (4)   ~ (e1 = e0)
% 184.75/29.41    (5)   ~ (e3 = e0)
% 184.75/29.41    (6)  op(e2, e1) = e1
% 184.75/29.41    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 184.75/29.41         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.75/29.41    (8)  all_56_10 = e2 & op(e2, e0) = e2
% 184.75/29.41    (9)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.75/29.41         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.75/29.41    (10)   ~ (all_52_6 = e0)
% 184.75/29.41    (11)   ~ (e2 = e0)
% 184.75/29.41    (12)   ~ (e3 = e1)
% 184.75/29.41    (13)  all_56_4 = e0 & op(e3, e1) = e0
% 184.75/29.41    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.41            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.41    (15)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.75/29.41          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.75/29.41    (16)  all_56_3 = e0
% 184.75/29.41    (17)   ~ (e3 = e2)
% 184.75/29.41    (18)  op(e3, e3) = e1
% 184.75/29.41    (19)  all_56_2 = e3
% 184.75/29.41    (20)  all_56_12 = e1
% 184.75/29.41    (21)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.75/29.41          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.75/29.41    (22)  all_56_4 = e0
% 184.75/29.41    (23)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.75/29.41          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.75/29.41    (24)  op(e1, e2) = all_52_6
% 184.75/29.41    (25)  op(e1, e1) = e2
% 184.75/29.41    (26)   ~ (e2 = e1)
% 184.75/29.41    (27)  op(e2, e2) = e0
% 184.75/29.41    (28)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.75/29.41          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.75/29.41  
% 184.75/29.41  Begin of proof
% 184.75/29.41  | 
% 184.75/29.41  | BETA: splitting (7) gives:
% 184.75/29.41  | 
% 184.75/29.41  | Case 1:
% 184.75/29.41  | | 
% 184.75/29.41  | |   (29)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 184.75/29.41  | |           e2)
% 184.75/29.41  | | 
% 184.75/29.41  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (11), (12), (13), (14), (15), (16),
% 184.75/29.41  | |            (17), (18), (19), (21), (25), (26), (27), (28), (29) are
% 184.75/29.41  | |            inconsistent by sub-proof #300.
% 184.75/29.41  | | 
% 184.75/29.41  | Case 2:
% 184.75/29.41  | | 
% 184.75/29.41  | |   (30)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 184.75/29.41  | |           e2)
% 184.75/29.41  | | 
% 184.75/29.41  | | BETA: splitting (30) gives:
% 184.75/29.41  | | 
% 184.75/29.41  | | Case 1:
% 184.75/29.41  | | | 
% 184.75/29.41  | | |   (31)  all_56_6 = e2 & op(e1, e3) = e2
% 184.75/29.41  | | | 
% 184.75/29.41  | | | ALPHA: (31) implies:
% 184.75/29.41  | | |   (32)  all_56_6 = e2
% 184.75/29.41  | | | 
% 184.75/29.41  | | | REF_CLOSE: (1), (4), (5), (9), (10), (11), (12), (14), (17), (23), (24),
% 184.75/29.41  | | |            (25), (26), (32) are inconsistent by sub-proof #1161.
% 184.75/29.41  | | | 
% 184.75/29.41  | | Case 2:
% 184.75/29.41  | | | 
% 184.75/29.41  | | |   (33)  all_56_12 = e2 & op(e0, e3) = e2
% 184.75/29.41  | | | 
% 184.75/29.41  | | | ALPHA: (33) implies:
% 184.75/29.41  | | |   (34)  all_56_12 = e2
% 184.75/29.41  | | | 
% 184.75/29.41  | | | COMBINE_EQS: (20), (34) imply:
% 184.75/29.41  | | |   (35)  e2 = e1
% 184.75/29.41  | | | 
% 184.75/29.41  | | | COMBINE_EQS: (3), (35) imply:
% 184.75/29.41  | | |   (36)  all_56_10 = e1
% 184.75/29.41  | | | 
% 184.75/29.41  | | | REF_CLOSE: (2), (4), (5), (6), (11), (12), (14), (15), (16), (17), (21),
% 184.75/29.41  | | |            (22), (25), (26), (28), (36) are inconsistent by sub-proof
% 184.75/29.41  | | |            #322.
% 184.75/29.41  | | | 
% 184.75/29.41  | | End of split
% 184.75/29.41  | | 
% 184.75/29.41  | End of split
% 184.75/29.41  | 
% 184.75/29.41  End of proof
% 184.75/29.41  
% 184.75/29.41  Sub-proof #300 shows that the following formulas are inconsistent:
% 184.75/29.41  ----------------------------------------------------------------
% 184.75/29.41    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 184.75/29.41    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.75/29.41         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.75/29.41    (3)  all_56_10 = e2
% 184.75/29.41    (4)   ~ (e1 = e0)
% 184.75/29.41    (5)   ~ (e3 = e0)
% 184.75/29.41    (6)  op(e2, e1) = e1
% 184.75/29.41    (7)  all_56_10 = e2 & op(e2, e0) = e2
% 184.75/29.41    (8)   ~ (e2 = e0)
% 184.75/29.41    (9)   ~ (e3 = e1)
% 184.75/29.41    (10)  all_56_4 = e0 & op(e3, e1) = e0
% 184.75/29.41    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.41            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.41    (12)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.75/29.41          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.75/29.41    (13)  all_56_3 = e0
% 184.75/29.41    (14)   ~ (e3 = e2)
% 184.75/29.41    (15)  op(e3, e3) = e1
% 184.75/29.41    (16)  all_56_2 = e3
% 184.75/29.41    (17)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.75/29.41          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.75/29.41    (18)  op(e1, e1) = e2
% 184.75/29.41    (19)   ~ (e2 = e1)
% 184.75/29.41    (20)  op(e2, e2) = e0
% 184.75/29.41    (21)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.75/29.41          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.75/29.41  
% 184.75/29.41  Begin of proof
% 184.75/29.41  | 
% 184.75/29.41  | BETA: splitting (1) gives:
% 184.75/29.41  | 
% 184.75/29.41  | Case 1:
% 184.75/29.41  | | 
% 184.75/29.41  | |   (22)  all_56_0 = e2 & op(e3, e3) = e2
% 184.75/29.41  | | 
% 184.75/29.41  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 184.75/29.41  | |            (14), (15), (17), (18), (19), (20), (21), (22) are inconsistent
% 184.75/29.41  | |            by sub-proof #301.
% 184.75/29.41  | | 
% 184.75/29.41  | Case 2:
% 184.75/29.41  | | 
% 184.75/29.41  | |   (23)  all_56_2 = e2 & op(e2, e3) = e2
% 184.75/29.41  | | 
% 184.75/29.41  | | ALPHA: (23) implies:
% 184.75/29.41  | |   (24)  all_56_2 = e2
% 184.75/29.41  | | 
% 184.75/29.41  | | REF_CLOSE: (14), (16), (24) are inconsistent by sub-proof #1414.
% 184.75/29.41  | | 
% 184.75/29.41  | End of split
% 184.75/29.41  | 
% 184.75/29.41  End of proof
% 184.75/29.41  
% 184.75/29.41  Sub-proof #301 shows that the following formulas are inconsistent:
% 184.75/29.41  ----------------------------------------------------------------
% 184.75/29.41    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.75/29.41         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.75/29.41    (2)  all_56_10 = e2
% 184.75/29.41    (3)   ~ (e1 = e0)
% 184.75/29.41    (4)   ~ (e3 = e0)
% 184.75/29.41    (5)  op(e2, e1) = e1
% 184.75/29.41    (6)  all_56_10 = e2 & op(e2, e0) = e2
% 184.75/29.41    (7)   ~ (e2 = e0)
% 184.75/29.41    (8)   ~ (e3 = e1)
% 184.75/29.41    (9)  all_56_4 = e0 & op(e3, e1) = e0
% 184.75/29.41    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.41            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.41    (11)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.75/29.41          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.75/29.41    (12)  all_56_3 = e0
% 184.75/29.41    (13)  all_56_0 = e2 & op(e3, e3) = e2
% 184.75/29.41    (14)   ~ (e3 = e2)
% 184.75/29.41    (15)  op(e3, e3) = e1
% 184.75/29.41    (16)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.75/29.41          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.75/29.41    (17)  op(e1, e1) = e2
% 184.75/29.41    (18)   ~ (e2 = e1)
% 184.75/29.41    (19)  op(e2, e2) = e0
% 184.75/29.41    (20)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.75/29.41          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.75/29.41  
% 184.75/29.41  Begin of proof
% 184.75/29.41  | 
% 184.75/29.41  | BETA: splitting (16) gives:
% 184.75/29.41  | 
% 184.75/29.41  | Case 1:
% 184.75/29.41  | | 
% 184.75/29.41  | |   (21)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 184.75/29.41  | |           e3)
% 184.75/29.41  | | 
% 184.75/29.41  | | BETA: splitting (21) gives:
% 184.75/29.41  | | 
% 184.75/29.41  | | Case 1:
% 184.75/29.41  | | | 
% 184.75/29.41  | | | 
% 184.75/29.41  | | | ALPHA: (13) implies:
% 184.75/29.41  | | |   (22)  op(e3, e3) = e2
% 184.75/29.41  | | | 
% 184.75/29.41  | | | ALPHA: (9) implies:
% 184.75/29.41  | | |   (23)  all_56_4 = e0
% 184.75/29.41  | | | 
% 184.75/29.41  | | | GROUND_INST: instantiating (10) with e1, e2, e3, e3, simplifying with
% 184.75/29.41  | | |              (15), (22) gives:
% 184.75/29.41  | | |   (24)  e2 = e1
% 184.75/29.41  | | | 
% 184.75/29.41  | | | COMBINE_EQS: (2), (24) imply:
% 184.75/29.41  | | |   (25)  all_56_10 = e1
% 184.75/29.41  | | | 
% 184.75/29.41  | | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (10), (11), (12), (14), (16),
% 184.75/29.41  | | |            (17), (18), (20), (23), (25) are inconsistent by sub-proof
% 184.75/29.41  | | |            #322.
% 184.75/29.41  | | | 
% 184.75/29.41  | | Case 2:
% 184.75/29.41  | | | 
% 184.75/29.41  | | |   (26)  all_56_3 = e3 & op(e2, e2) = e3
% 184.75/29.41  | | | 
% 184.75/29.41  | | | ALPHA: (26) implies:
% 184.75/29.41  | | |   (27)  op(e2, e2) = e3
% 184.75/29.41  | | | 
% 184.75/29.41  | | | REF_CLOSE: (4), (10), (19), (27) are inconsistent by sub-proof #1015.
% 184.75/29.41  | | | 
% 184.75/29.41  | | End of split
% 184.75/29.41  | | 
% 184.75/29.41  | Case 2:
% 184.75/29.41  | | 
% 184.75/29.41  | |   (28)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 184.75/29.41  | |           e3)
% 184.75/29.41  | | 
% 184.75/29.41  | | REF_CLOSE: (2), (5), (8), (10), (14), (28) are inconsistent by sub-proof
% 184.75/29.41  | |            #630.
% 184.75/29.41  | | 
% 184.75/29.41  | End of split
% 184.75/29.41  | 
% 184.75/29.41  End of proof
% 184.75/29.41  
% 184.75/29.41  Sub-proof #302 shows that the following formulas are inconsistent:
% 184.75/29.41  ----------------------------------------------------------------
% 184.75/29.41    (1)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.75/29.41    (2)   ~ (e1 = e0)
% 184.75/29.41    (3)   ~ (e2 = e0)
% 184.75/29.41    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.41    (5)  op(e1, e1) = e2
% 184.75/29.41    (6)  all_56_11 = e1
% 184.75/29.41  
% 184.75/29.41  Begin of proof
% 184.75/29.41  | 
% 184.75/29.41  | BETA: splitting (1) gives:
% 184.75/29.41  | 
% 184.75/29.41  | Case 1:
% 184.75/29.41  | | 
% 184.75/29.41  | |   (7)  all_56_8 = e0 & op(e1, e1) = e0
% 184.75/29.41  | | 
% 184.75/29.41  | | ALPHA: (7) implies:
% 184.75/29.41  | |   (8)  op(e1, e1) = e0
% 184.75/29.41  | | 
% 184.75/29.41  | | REF_CLOSE: (3), (4), (5), (8) are inconsistent by sub-proof #1230.
% 184.75/29.41  | | 
% 184.75/29.41  | Case 2:
% 184.75/29.41  | | 
% 184.75/29.41  | |   (9)  all_56_11 = e0 & op(e1, e0) = e0
% 184.75/29.41  | | 
% 184.75/29.41  | | ALPHA: (9) implies:
% 184.75/29.41  | |   (10)  all_56_11 = e0
% 184.75/29.41  | | 
% 184.75/29.41  | | REF_CLOSE: (2), (6), (10) are inconsistent by sub-proof #736.
% 184.75/29.41  | | 
% 184.75/29.41  | End of split
% 184.75/29.41  | 
% 184.75/29.41  End of proof
% 184.75/29.41  
% 184.75/29.41  Sub-proof #303 shows that the following formulas are inconsistent:
% 184.75/29.41  ----------------------------------------------------------------
% 184.75/29.41    (1)  op(e0, e0) = all_6_2
% 184.75/29.41    (2)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 184.75/29.41    (3)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.75/29.41         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.75/29.41    (4)   ~ (all_52_8 = e3)
% 184.75/29.41    (5)   ~ (all_4_2 = e0)
% 184.75/29.41    (6)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.75/29.41         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.75/29.41    (7)   ~ (all_6_2 = e1)
% 184.75/29.41    (8)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.75/29.41         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.75/29.41    (9)   ~ (all_6_2 = e3)
% 184.75/29.41    (10)  op(e1, e3) = all_52_2
% 184.75/29.41    (11)  all_57_17 = all_52_8
% 184.75/29.41    (12)   ~ (all_52_9 = e0)
% 184.75/29.41    (13)  all_54_15 = all_6_2
% 184.75/29.41    (14)  all_57_20 = e1
% 184.75/29.41    (15)  all_54_0 = all_4_2
% 184.75/29.41    (16)   ~ (e3 = e0)
% 184.75/29.41    (17)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 184.75/29.41          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 184.75/29.41    (18)   ~ (all_52_13 = all_6_2)
% 184.75/29.41    (19)  op(e2, e1) = e1
% 184.75/29.41    (20)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 184.75/29.41          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.75/29.41    (21)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.75/29.41          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.75/29.41    (22)  op(e2, e1) = all_52_9
% 184.75/29.41    (23)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.75/29.41          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.75/29.41    (24)   ~ (all_52_6 = e0)
% 184.75/29.41    (25)   ~ (e2 = e0)
% 184.75/29.41    (26)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.75/29.41          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.75/29.41    (27)   ~ (e3 = e1)
% 184.75/29.41    (28)  all_57_27 = e3
% 184.75/29.41    (29)   ~ (all_52_4 = all_52_7)
% 184.75/29.41    (30)   ~ (all_6_2 = e2)
% 184.75/29.41    (31)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 184.75/29.41          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 184.75/29.41    (32)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 184.75/29.41    (33)  op(e0, e3) = all_52_3
% 184.75/29.41    (34)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 184.75/29.41    (35)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.75/29.41            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.75/29.41    (36)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.75/29.41          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.75/29.41    (37)   ~ (all_52_6 = e2)
% 184.75/29.41    (38)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 184.75/29.41              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 184.75/29.41            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.75/29.41              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.75/29.41            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 184.75/29.41            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.75/29.41            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 184.75/29.41            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.75/29.41            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 184.75/29.41            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.75/29.41              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 184.75/29.41              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.75/29.41            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.75/29.41          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 184.75/29.41              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 184.75/29.41            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.75/29.41              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.75/29.41            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 184.75/29.41            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.75/29.41            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 184.75/29.41            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.75/29.41            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.75/29.41              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.75/29.41              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 184.75/29.41            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 184.75/29.41            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.75/29.41            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 184.75/29.41            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 184.75/29.41            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 184.75/29.41            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 184.75/29.41            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.75/29.41            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 184.75/29.41            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 184.75/29.41            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 184.75/29.41              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 184.75/29.41            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 184.75/29.41            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 184.75/29.41              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 184.75/29.41            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 184.75/29.41            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 184.75/29.41            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 184.75/29.41            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.75/29.41            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 184.75/29.41              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 184.75/29.41              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 184.75/29.41            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 184.75/29.41            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 184.75/29.41              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 184.75/29.41            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 184.75/29.41            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.75/29.41            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 184.75/29.41            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.75/29.41            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 184.75/29.41                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 184.75/29.41                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 184.75/29.41                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.75/29.41                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 184.75/29.41                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.75/29.41                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.75/29.41                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.75/29.41                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.75/29.41                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.75/29.41                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.75/29.41                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 184.75/29.41                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.75/29.41                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.75/29.41                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.75/29.41                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 184.75/29.41                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 184.75/29.41    (39)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.75/29.41          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.75/29.41    (40)  all_56_3 = e0
% 184.75/29.41    (41)   ~ (all_52_8 = e2)
% 184.75/29.41    (42)  all_57_30 = e2
% 184.75/29.41    (43)   ~ (all_52_7 = all_6_2)
% 184.75/29.41    (44)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.75/29.41          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.75/29.41            e1)
% 184.75/29.41    (45)   ~ (all_52_3 = all_4_2)
% 184.75/29.41    (46)  op(e2, e0) = all_52_13
% 184.75/29.41    (47)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 184.75/29.41          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.75/29.41    (48)   ~ (e3 = e2)
% 184.75/29.41    (49)   ~ (all_52_2 = all_4_2)
% 184.75/29.41    (50)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 184.75/29.41          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.75/29.41    (51)  all_54_2 = all_52_8
% 184.75/29.41    (52)  all_56_14 = e3
% 184.75/29.41    (53)  op(e3, e3) = all_4_2
% 184.75/29.41    (54)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.75/29.41          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.75/29.41    (55)  op(e3, e2) = all_52_4
% 184.75/29.41    (56)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 184.75/29.41          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 184.75/29.41            e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 & $i(all_57_18))
% 184.75/29.41    (57)   ~ (all_52_4 = all_4_2)
% 184.75/29.41    (58)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.75/29.41          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.75/29.41    (59)  op(e1, e2) = all_52_6
% 184.75/29.41    (60)  op(e1, e1) = e2
% 184.75/29.41    (61)   ~ (e2 = e1)
% 184.75/29.41    (62)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.75/29.41          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 184.75/29.41            e2)
% 184.75/29.41    (63)  op(e0, e2) = all_52_7
% 184.75/29.41    (64)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.75/29.41              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.75/29.41                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.75/29.41                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.75/29.42    (65)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 184.75/29.42          | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 184.75/29.42            e3) | ( ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 & $i(all_57_25))
% 184.75/29.42    (66)  op(e2, e2) = e0
% 184.75/29.42    (67)   ~ (all_52_8 = e1)
% 184.75/29.42    (68)   ~ (all_4_2 = e1)
% 184.75/29.42    (69)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.75/29.42          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.75/29.42    (70)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.75/29.42          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.75/29.42  
% 184.75/29.42  Begin of proof
% 184.75/29.42  | 
% 184.75/29.42  | BETA: splitting (36) gives:
% 184.75/29.42  | 
% 184.75/29.42  | Case 1:
% 184.75/29.42  | | 
% 184.75/29.42  | |   (71)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 184.75/29.42  | |           e0)
% 184.75/29.42  | | 
% 184.75/29.42  | | BETA: splitting (71) gives:
% 184.75/29.42  | | 
% 184.75/29.42  | | Case 1:
% 184.75/29.42  | | | 
% 184.75/29.42  | | |   (72)  all_56_4 = e0 & op(e3, e1) = e0
% 184.75/29.42  | | | 
% 184.75/29.42  | | | ALPHA: (72) implies:
% 184.75/29.42  | | |   (73)  all_56_4 = e0
% 184.75/29.42  | | | 
% 184.75/29.42  | | | BETA: splitting (2) gives:
% 184.75/29.42  | | | 
% 184.75/29.42  | | | Case 1:
% 184.75/29.42  | | | | 
% 184.75/29.42  | | | |   (74)  all_54_15 = e3
% 184.75/29.42  | | | | 
% 184.75/29.42  | | | | REF_CLOSE: (9), (13), (74) are inconsistent by sub-proof #1608.
% 184.75/29.42  | | | | 
% 184.75/29.42  | | | Case 2:
% 184.75/29.42  | | | | 
% 184.75/29.42  | | | |   (75)   ~ (all_54_15 = e3)
% 184.75/29.42  | | | |   (76)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 184.75/29.42  | | | | 
% 184.75/29.42  | | | | BETA: splitting (76) gives:
% 184.75/29.42  | | | | 
% 184.75/29.42  | | | | Case 1:
% 184.75/29.42  | | | | | 
% 184.75/29.42  | | | | |   (77)  all_54_15 = e2
% 184.75/29.42  | | | | | 
% 184.75/29.42  | | | | | REF_CLOSE: (13), (30), (77) are inconsistent by sub-proof #1607.
% 184.75/29.42  | | | | | 
% 184.75/29.42  | | | | Case 2:
% 184.75/29.42  | | | | | 
% 184.75/29.42  | | | | |   (78)   ~ (all_54_15 = e2)
% 184.75/29.42  | | | | |   (79)  all_54_15 = e1 | all_54_15 = e0
% 184.75/29.42  | | | | | 
% 184.75/29.42  | | | | | BETA: splitting (79) gives:
% 184.75/29.42  | | | | | 
% 184.75/29.42  | | | | | Case 1:
% 184.75/29.42  | | | | | | 
% 184.75/29.42  | | | | | |   (80)  all_54_15 = e1
% 184.75/29.42  | | | | | | 
% 184.75/29.42  | | | | | | REF_CLOSE: (7), (13), (80) are inconsistent by sub-proof #1606.
% 184.75/29.42  | | | | | | 
% 184.75/29.42  | | | | | Case 2:
% 184.75/29.42  | | | | | | 
% 184.75/29.42  | | | | | |   (81)  all_54_15 = e0
% 184.75/29.42  | | | | | | 
% 184.75/29.42  | | | | | | COMBINE_EQS: (13), (81) imply:
% 184.75/29.42  | | | | | |   (82)  all_6_2 = e0
% 184.75/29.42  | | | | | | 
% 184.75/29.42  | | | | | | SIMP: (82) implies:
% 184.75/29.42  | | | | | |   (83)  all_6_2 = e0
% 184.75/29.42  | | | | | | 
% 184.75/29.42  | | | | | | REDUCE: (43), (83) imply:
% 184.75/29.42  | | | | | |   (84)   ~ (all_52_7 = e0)
% 184.75/29.42  | | | | | | 
% 184.75/29.42  | | | | | | REDUCE: (18), (83) imply:
% 184.75/29.42  | | | | | |   (85)   ~ (all_52_13 = e0)
% 184.75/29.42  | | | | | | 
% 184.75/29.42  | | | | | | REDUCE: (9), (83) imply:
% 184.75/29.42  | | | | | |   (86)   ~ (e3 = e0)
% 184.75/29.42  | | | | | | 
% 184.75/29.42  | | | | | | REDUCE: (30), (83) imply:
% 184.75/29.42  | | | | | |   (87)   ~ (e2 = e0)
% 184.75/29.42  | | | | | | 
% 184.75/29.42  | | | | | | REDUCE: (7), (83) imply:
% 184.75/29.42  | | | | | |   (88)   ~ (e1 = e0)
% 184.75/29.42  | | | | | | 
% 184.75/29.42  | | | | | | SIMP: (88) implies:
% 184.75/29.42  | | | | | |   (89)   ~ (e1 = e0)
% 184.75/29.42  | | | | | | 
% 184.75/29.42  | | | | | | REDUCE: (1), (83) imply:
% 184.75/29.42  | | | | | |   (90)  op(e0, e0) = e0
% 184.75/29.42  | | | | | | 
% 184.75/29.42  | | | | | | BETA: splitting (32) gives:
% 184.75/29.42  | | | | | | 
% 184.75/29.42  | | | | | | Case 1:
% 184.75/29.42  | | | | | | | 
% 184.75/29.42  | | | | | | |   (91)  all_54_2 = e2
% 184.75/29.42  | | | | | | | 
% 184.75/29.42  | | | | | | | REF_CLOSE: (41), (51), (91) are inconsistent by sub-proof #1480.
% 184.75/29.42  | | | | | | | 
% 184.75/29.42  | | | | | | Case 2:
% 184.75/29.42  | | | | | | | 
% 184.75/29.42  | | | | | | |   (92)   ~ (all_54_2 = e2)
% 184.75/29.42  | | | | | | |   (93)  all_54_2 = e1 | all_54_2 = e0
% 184.75/29.42  | | | | | | | 
% 184.75/29.42  | | | | | | | BETA: splitting (64) gives:
% 184.75/29.42  | | | | | | | 
% 184.75/29.42  | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | 
% 184.75/29.42  | | | | | | | |   (94)  all_56_15 = e0 & op(e0, e0) = e0
% 184.75/29.42  | | | | | | | | 
% 184.75/29.42  | | | | | | | | ALPHA: (94) implies:
% 184.75/29.42  | | | | | | | |   (95)  all_56_15 = e0
% 184.75/29.42  | | | | | | | | 
% 184.75/29.42  | | | | | | | | BETA: splitting (69) gives:
% 184.75/29.42  | | | | | | | | 
% 184.75/29.42  | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | 
% 184.75/29.42  | | | | | | | | |   (96)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 &
% 184.75/29.42  | | | | | | | | |           op(e2, e3) = e0)
% 184.75/29.42  | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | BETA: splitting (96) gives:
% 184.75/29.42  | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | |   (97)  all_56_0 = e0 & op(e3, e3) = e0
% 184.75/29.42  | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | ALPHA: (97) implies:
% 184.75/29.42  | | | | | | | | | |   (98)  all_56_0 = e0
% 184.75/29.42  | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | BETA: splitting (23) gives:
% 184.75/29.42  | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | |   (99)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 184.75/29.42  | | | | | | | | | | |           & op(e1, e2) = e0)
% 184.75/29.42  | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | BETA: splitting (99) gives:
% 184.75/29.42  | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | |   (100)  all_56_6 = e0 & op(e1, e3) = e0
% 184.75/29.42  | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | ALPHA: (100) implies:
% 184.75/29.42  | | | | | | | | | | | |   (101)  all_56_6 = e0
% 184.75/29.42  | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | BETA: splitting (21) gives:
% 184.75/29.42  | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | |   (102)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 184.75/29.42  | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 184.75/29.42  | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | REF_CLOSE: (8), (16), (25), (27), (35), (39), (40), (48),
% 184.75/29.42  | | | | | | | | | | | | |            (52), (53), (54), (60), (61), (66), (68), (70),
% 184.75/29.42  | | | | | | | | | | | | |            (73), (89), (102) are inconsistent by sub-proof
% 184.75/29.42  | | | | | | | | | | | | |            #326.
% 184.75/29.42  | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | |   (103)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 184.75/29.42  | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 184.75/29.42  | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | BETA: splitting (103) gives:
% 184.75/29.42  | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | |   (104)  all_56_6 = e1 & op(e1, e3) = e1
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | REF_CLOSE: (89), (101), (104) are inconsistent by sub-proof
% 184.75/29.42  | | | | | | | | | | | | | |            #1522.
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | |   (105)  all_56_12 = e1 & op(e0, e3) = e1
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | ALPHA: (105) implies:
% 184.75/29.42  | | | | | | | | | | | | | |   (106)  all_56_12 = e1
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | BETA: splitting (20) gives:
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | |   (107)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 184.75/29.42  | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | |   (108)  all_56_0 = e2 & op(e3, e3) = e2
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | | REF_CLOSE: (25), (98), (108) are inconsistent by sub-proof
% 184.75/29.42  | | | | | | | | | | | | | | | |            #325.
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | |   (109)  all_56_2 = e2 & op(e2, e3) = e2
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | | ALPHA: (109) implies:
% 184.75/29.42  | | | | | | | | | | | | | | | |   (110)  all_56_2 = e2
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | | REF_CLOSE: (16), (19), (27), (31), (35), (40), (48), (52),
% 184.75/29.42  | | | | | | | | | | | | | | | |            (54), (60), (61), (66), (70), (73), (89), (98),
% 184.75/29.42  | | | | | | | | | | | | | | | |            (101), (106), (110) are inconsistent by sub-proof
% 184.75/29.42  | | | | | | | | | | | | | | | |            #324.
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | End of split
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | |   (111)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 184.75/29.42  | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | BETA: splitting (111) gives:
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | |   (112)  all_56_6 = e2 & op(e1, e3) = e2
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | | ALPHA: (112) implies:
% 184.75/29.42  | | | | | | | | | | | | | | | |   (113)  all_56_6 = e2
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (16), (23), (24), (25), (27), (35), (48),
% 184.75/29.42  | | | | | | | | | | | | | | | |            (58), (59), (60), (61), (89), (113) are
% 184.75/29.42  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1161.
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | |   (114)  all_56_12 = e2 & op(e0, e3) = e2
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | | REF_CLOSE: (61), (106), (114) are inconsistent by sub-proof
% 184.75/29.42  | | | | | | | | | | | | | | | |            #1591.
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | End of split
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | End of split
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | End of split
% 184.75/29.42  | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | End of split
% 184.75/29.42  | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | |   (115)  all_56_7 = e0 & op(e1, e2) = e0
% 184.75/29.42  | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | REF_CLOSE: (24), (35), (59), (115) are inconsistent by
% 184.75/29.42  | | | | | | | | | | | |            sub-proof #1199.
% 184.75/29.42  | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | End of split
% 184.75/29.42  | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | |   (116)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 184.75/29.42  | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 184.75/29.42  | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (8), (16), (17), (19), (23), (24),
% 184.75/29.42  | | | | | | | | | | |            (25), (27), (35), (39), (40), (47), (48), (50),
% 184.75/29.42  | | | | | | | | | | |            (54), (58), (59), (60), (61), (70), (73), (89),
% 184.75/29.42  | | | | | | | | | | |            (95), (116) are inconsistent by sub-proof #321.
% 184.75/29.42  | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | End of split
% 184.75/29.42  | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | |   (117)  all_56_2 = e0 & op(e2, e3) = e0
% 184.75/29.42  | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | ALPHA: (117) implies:
% 184.75/29.42  | | | | | | | | | |   (118)  all_56_2 = e0
% 184.75/29.42  | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | REF_CLOSE: (8), (16), (25), (27), (35), (39), (40), (48),
% 184.75/29.42  | | | | | | | | | |            (52), (54), (60), (61), (66), (70), (73), (89),
% 184.75/29.42  | | | | | | | | | |            (118) are inconsistent by sub-proof #319.
% 184.75/29.42  | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | End of split
% 184.75/29.42  | | | | | | | | | 
% 184.75/29.42  | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | 
% 184.75/29.42  | | | | | | | | |   (119)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 &
% 184.75/29.42  | | | | | | | | |            op(e0, e3) = e0)
% 184.75/29.42  | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | BETA: splitting (119) gives:
% 184.75/29.42  | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | |   (120)  all_56_6 = e0 & op(e1, e3) = e0
% 184.75/29.42  | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | ALPHA: (120) implies:
% 184.75/29.42  | | | | | | | | | |   (121)  op(e1, e3) = e0
% 184.75/29.42  | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | BETA: splitting (93) gives:
% 184.75/29.42  | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | |   (122)  all_54_2 = e1
% 184.75/29.42  | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | REF_CLOSE: (51), (67), (122) are inconsistent by sub-proof
% 184.75/29.42  | | | | | | | | | | |            #1479.
% 184.75/29.42  | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | |   (123)  all_54_2 = e0
% 184.75/29.42  | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | COMBINE_EQS: (51), (123) imply:
% 184.75/29.42  | | | | | | | | | | |   (124)  all_52_8 = e0
% 184.75/29.42  | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | SIMP: (124) implies:
% 184.75/29.42  | | | | | | | | | | |   (125)  all_52_8 = e0
% 184.75/29.42  | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | COMBINE_EQS: (11), (125) imply:
% 184.75/29.42  | | | | | | | | | | |   (126)  all_57_17 = e0
% 184.75/29.42  | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | BETA: splitting (38) gives:
% 184.75/29.42  | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | |   (127)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.75/29.42  | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 184.75/29.42  | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.75/29.42  | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.75/29.42  | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 184.75/29.42  | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.75/29.42  | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 184.75/29.42  | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 184.75/29.42  | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 184.75/29.42  | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 184.75/29.42  | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 184.75/29.42  | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 184.75/29.42  | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 184.75/29.42  | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.75/29.42  | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 184.75/29.42  | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 184.75/29.42  | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.75/29.42  | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.75/29.42  | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.75/29.42  | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.75/29.42  | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 184.75/29.42  | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.75/29.42  | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 184.75/29.42  | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 184.75/29.42  | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 184.75/29.42  | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 184.75/29.42  | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.75/29.42  | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.75/29.42  | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 184.75/29.42  | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 184.75/29.42  | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 184.75/29.42  | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.75/29.42  | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 184.75/29.42  | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.75/29.42  | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 184.75/29.42  | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 184.75/29.42  | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 184.75/29.42  | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 184.75/29.42  | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | BETA: splitting (127) gives:
% 184.75/29.42  | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | |   (128)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.75/29.42  | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 184.75/29.42  | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.75/29.42  | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.75/29.42  | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 184.75/29.42  | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.75/29.42  | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 184.75/29.42  | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 184.75/29.42  | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 184.75/29.42  | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 184.75/29.42  | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 184.75/29.42  | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 184.75/29.42  | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 184.75/29.42  | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.75/29.42  | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 184.75/29.42  | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 184.75/29.42  | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.75/29.42  | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.75/29.42  | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 184.75/29.42  | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | BETA: splitting (128) gives:
% 184.75/29.42  | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | |   (129)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.75/29.42  | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 184.75/29.42  | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 184.75/29.42  | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 184.75/29.42  | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.75/29.42  | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 184.75/29.42  | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 184.75/29.42  | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 184.75/29.42  | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | ALPHA: (129) implies:
% 184.75/29.42  | | | | | | | | | | | | | |   (130)   ~ (all_57_28 = e2)
% 184.75/29.42  | | | | | | | | | | | | | |   (131)  op(e3, e2) = e3
% 184.75/29.42  | | | | | | | | | | | | | |   (132)  op(e3, e3) = all_57_28
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | BETA: splitting (21) gives:
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | |   (133)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 184.75/29.42  | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | REF_CLOSE: (8), (16), (25), (27), (35), (39), (40), (48),
% 184.75/29.42  | | | | | | | | | | | | | | |            (52), (53), (54), (60), (61), (66), (68), (70),
% 184.75/29.42  | | | | | | | | | | | | | | |            (73), (89), (133) are inconsistent by sub-proof
% 184.75/29.42  | | | | | | | | | | | | | | |            #326.
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | |   (134)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 184.75/29.42  | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | |   (135)  all_56_6 = e1 & op(e1, e3) = e1
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | | ALPHA: (135) implies:
% 184.75/29.42  | | | | | | | | | | | | | | | |   (136)  all_56_6 = e1
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (8), (16), (17), (19), (23), (24),
% 184.75/29.42  | | | | | | | | | | | | | | | |            (25), (27), (35), (39), (40), (47), (48), (50),
% 184.75/29.42  | | | | | | | | | | | | | | | |            (54), (58), (59), (60), (61), (70), (73), (89),
% 184.75/29.42  | | | | | | | | | | | | | | | |            (95), (136) are inconsistent by sub-proof #318.
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | |   (137)  all_56_12 = e1 & op(e0, e3) = e1
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | | ALPHA: (137) implies:
% 184.75/29.42  | | | | | | | | | | | | | | | |   (138)  op(e0, e3) = e1
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | | REF_CLOSE: (10), (15), (33), (34), (35), (45), (49), (53),
% 184.75/29.42  | | | | | | | | | | | | | | | |            (55), (57), (121), (130), (131), (132), (138) are
% 184.75/29.42  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1284.
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | End of split
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | End of split
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | |   (139)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 184.75/29.42  | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 184.75/29.42  | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 184.75/29.42  | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 184.75/29.42  | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.75/29.42  | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 184.75/29.42  | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 184.75/29.42  | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.75/29.42  | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 184.75/29.42  | | | | | | | | | | | | | |          $i(all_57_28)
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | REF_CLOSE: (16), (126), (139) are inconsistent by sub-proof
% 184.75/29.42  | | | | | | | | | | | | | |            #351.
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | End of split
% 184.75/29.42  | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | |   (140)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.75/29.42  | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 184.75/29.42  | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.75/29.42  | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 184.75/29.42  | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 184.75/29.42  | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 184.75/29.42  | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 184.75/29.42  | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.75/29.42  | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.75/29.42  | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 184.75/29.42  | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 184.75/29.42  | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 184.75/29.42  | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.75/29.42  | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 184.75/29.42  | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.75/29.42  | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 184.75/29.42  | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 184.75/29.42  | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 184.75/29.42  | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 184.75/29.42  | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | BETA: splitting (140) gives:
% 184.75/29.42  | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | |   (141)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.75/29.42  | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 184.75/29.42  | | | | | | | | | | | | | |          ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 184.75/29.42  | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_17) =
% 184.75/29.42  | | | | | | | | | | | | | |          all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.75/29.42  | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 184.75/29.42  | | | | | | | | | | | | | |          op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 184.75/29.42  | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.75/29.42  | | | | | | | | | | | | | |          $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.75/29.42  | | | | | | | | | | | | | |          $i(all_57_28)
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | ALPHA: (141) implies:
% 184.75/29.42  | | | | | | | | | | | | | |   (142)  op(e0, e3) = e3
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | BETA: splitting (21) gives:
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | |   (143)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 184.75/29.42  | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | REF_CLOSE: (8), (16), (25), (27), (35), (39), (40), (48),
% 184.75/29.42  | | | | | | | | | | | | | | |            (52), (53), (54), (60), (61), (66), (68), (70),
% 184.75/29.42  | | | | | | | | | | | | | | |            (73), (89), (143) are inconsistent by sub-proof
% 184.75/29.42  | | | | | | | | | | | | | | |            #326.
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | |   (144)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 184.75/29.42  | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | |   (145)  all_56_6 = e1 & op(e1, e3) = e1
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | | ALPHA: (145) implies:
% 184.75/29.42  | | | | | | | | | | | | | | | |   (146)  all_56_6 = e1
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (8), (16), (17), (19), (23), (24),
% 184.75/29.42  | | | | | | | | | | | | | | | |            (25), (27), (35), (39), (40), (47), (48), (50),
% 184.75/29.42  | | | | | | | | | | | | | | | |            (54), (58), (59), (60), (61), (70), (73), (89),
% 184.75/29.42  | | | | | | | | | | | | | | | |            (95), (146) are inconsistent by sub-proof #318.
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | |   (147)  all_56_12 = e1 & op(e0, e3) = e1
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | | ALPHA: (147) implies:
% 184.75/29.42  | | | | | | | | | | | | | | | |   (148)  op(e0, e3) = e1
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | | REF_CLOSE: (27), (33), (35), (142), (148) are inconsistent by
% 184.75/29.42  | | | | | | | | | | | | | | | |            sub-proof #1529.
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | End of split
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | End of split
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | |   (149)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 184.75/29.42  | | | | | | | | | | | | | |          = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 184.75/29.42  | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 184.75/29.42  | | | | | | | | | | | | | |            e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.75/29.42  | | | | | | | | | | | | | |            all_57_21) = all_57_7 & op(e2, all_57_29) =
% 184.75/29.42  | | | | | | | | | | | | | |          all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 184.75/29.42  | | | | | | | | | | | | | |          all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 184.75/29.42  | | | | | | | | | | | | | |          all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 184.75/29.42  | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.75/29.42  | | | | | | | | | | | | | |          $i(all_57_29)
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | ALPHA: (149) implies:
% 184.75/29.42  | | | | | | | | | | | | | |   (150)  op(e2, e1) = all_57_20
% 184.75/29.42  | | | | | | | | | | | | | |   (151)  op(e3, e2) = e2
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | BETA: splitting (21) gives:
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | |   (152)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 184.75/29.42  | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | REF_CLOSE: (8), (16), (25), (27), (35), (39), (40), (48),
% 184.75/29.42  | | | | | | | | | | | | | | |            (52), (53), (54), (60), (61), (66), (68), (70),
% 184.75/29.42  | | | | | | | | | | | | | | |            (73), (89), (152) are inconsistent by sub-proof
% 184.75/29.42  | | | | | | | | | | | | | | |            #326.
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | |   (153)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 184.75/29.42  | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | Case 1:
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | |   (154)  all_56_6 = e1 & op(e1, e3) = e1
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | | ALPHA: (154) implies:
% 184.75/29.42  | | | | | | | | | | | | | | | |   (155)  all_56_6 = e1
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (8), (16), (17), (19), (23), (24),
% 184.75/29.42  | | | | | | | | | | | | | | | |            (25), (27), (35), (39), (40), (47), (48), (50),
% 184.75/29.42  | | | | | | | | | | | | | | | |            (54), (58), (59), (60), (61), (70), (73), (89),
% 184.75/29.42  | | | | | | | | | | | | | | | |            (95), (155) are inconsistent by sub-proof #318.
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | |   (156)  all_56_12 = e1 & op(e0, e3) = e1
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | | ALPHA: (156) implies:
% 184.75/29.42  | | | | | | | | | | | | | | | |   (157)  all_56_12 = e1
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | | REF_CLOSE: (25), (29), (35), (48), (52), (55), (61), (62),
% 184.75/29.42  | | | | | | | | | | | | | | | |            (63), (95), (151), (157) are inconsistent by
% 184.75/29.42  | | | | | | | | | | | | | | | |            sub-proof #1340.
% 184.75/29.42  | | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | | End of split
% 184.75/29.42  | | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | | End of split
% 184.75/29.42  | | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | | End of split
% 184.75/29.42  | | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | | End of split
% 184.75/29.42  | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | Case 2:
% 184.75/29.42  | | | | | | | | | | | | 
% 184.75/29.42  | | | | | | | | | | | |   (158)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.75/29.42  | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 184.75/29.42  | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.75/29.42  | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 184.75/29.42  | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.75/29.42  | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 184.75/29.42  | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.75/29.42  | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.75/29.42  | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.75/29.42  | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 184.75/29.42  | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 184.75/29.42  | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 184.75/29.42  | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.75/29.42  | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.75/29.42  | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 184.75/29.42  | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 184.75/29.42  | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.75/29.42  | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.75/29.42  | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 184.75/29.42  | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.75/29.42  | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 184.75/29.42  | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.75/29.42  | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.75/29.42  | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.75/29.42  | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 184.75/29.42  | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.75/29.42  | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 184.75/29.42  | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.75/29.42  | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 184.75/29.42  | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.75/29.42  | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.75/29.42  | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.75/29.42  | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.75/29.42  | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.75/29.42  | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.75/29.42  | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.75/29.42  | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.75/29.42  | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.75/29.42  | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.75/29.42  | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.75/29.42  | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.75/29.42  | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.75/29.42  | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.75/29.42  | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.75/29.42  | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.75/29.42  | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.75/29.42  | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.75/29.42  | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.75/29.42  | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.75/29.42  | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.75/29.42  | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.75/29.42  | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.75/29.42  | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.75/29.42  | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.75/29.42  | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.75/29.42  | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.75/29.42  | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.75/29.42  | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.75/29.42  | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.75/29.42  | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.75/29.42  | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.75/29.43  | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.75/29.43  | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.75/29.43  | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.75/29.43  | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.75/29.43  | | | | | | | | | | | |                      e0) = e0)))))
% 184.75/29.43  | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | BETA: splitting (158) gives:
% 184.75/29.43  | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | |   (159)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.75/29.43  | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 184.75/29.43  | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.75/29.43  | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 184.75/29.43  | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.75/29.43  | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 184.75/29.43  | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.75/29.43  | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.75/29.43  | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.75/29.43  | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 184.75/29.43  | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 184.75/29.43  | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 184.75/29.43  | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.75/29.43  | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.75/29.43  | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 184.75/29.43  | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 184.75/29.43  | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.75/29.43  | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.75/29.43  | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 184.75/29.43  | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | REF_CLOSE: (35), (37), (59), (66), (159) are inconsistent by
% 184.75/29.43  | | | | | | | | | | | | |            sub-proof #317.
% 184.75/29.43  | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | Case 2:
% 184.75/29.43  | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | |   (160)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.75/29.43  | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 184.75/29.43  | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.75/29.43  | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.75/29.43  | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.75/29.43  | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 184.75/29.43  | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.75/29.43  | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 184.75/29.43  | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.75/29.43  | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 184.75/29.43  | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.75/29.43  | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.75/29.43  | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.75/29.43  | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.75/29.43  | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.75/29.43  | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.75/29.43  | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.75/29.43  | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.75/29.43  | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.75/29.43  | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.75/29.43  | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.75/29.43  | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.75/29.43  | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.75/29.43  | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.75/29.43  | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.75/29.43  | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.75/29.43  | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.75/29.43  | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.75/29.43  | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.75/29.43  | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.75/29.43  | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.75/29.43  | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.75/29.43  | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.75/29.43  | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.75/29.43  | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.75/29.43  | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.75/29.43  | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.75/29.43  | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.75/29.43  | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.75/29.43  | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.75/29.43  | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.75/29.43  | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.75/29.43  | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.75/29.43  | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.75/29.43  | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.75/29.43  | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.75/29.43  | | | | | | | | | | | | |                      e0) = e0)))))
% 184.75/29.43  | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | BETA: splitting (160) gives:
% 184.75/29.43  | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | |   (161)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.75/29.43  | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 184.75/29.43  | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 184.75/29.43  | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.75/29.43  | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 184.75/29.43  | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 184.75/29.43  | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.75/29.43  | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 184.75/29.43  | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 184.75/29.43  | | | | | | | | | | | | | |          $i(all_57_30)
% 184.75/29.43  | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | REF_CLOSE: (89), (126), (161) are inconsistent by sub-proof
% 184.75/29.43  | | | | | | | | | | | | | |            #339.
% 184.75/29.43  | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | Case 2:
% 184.75/29.43  | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | |   (162)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 184.75/29.43  | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 184.75/29.43  | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 184.75/29.43  | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.75/29.43  | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.75/29.43  | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.75/29.43  | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.75/29.43  | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.75/29.43  | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.75/29.43  | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.75/29.43  | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.75/29.43  | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.75/29.43  | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.75/29.43  | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.75/29.43  | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.75/29.43  | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.75/29.43  | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.75/29.43  | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.75/29.43  | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.75/29.43  | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.75/29.43  | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.75/29.43  | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.75/29.43  | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.75/29.43  | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.75/29.43  | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.75/29.43  | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.75/29.43  | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.75/29.43  | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.75/29.43  | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.75/29.43  | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.75/29.43  | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.75/29.43  | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.75/29.43  | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.75/29.43  | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.75/29.43  | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.75/29.43  | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.75/29.43  | | | | | | | | | | | | | |                      e0) = e0)))))
% 184.75/29.43  | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 184.75/29.43  | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | |   (163)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 184.75/29.43  | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 184.75/29.43  | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.75/29.43  | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 184.75/29.43  | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 184.75/29.43  | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.75/29.43  | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.75/29.43  | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 184.75/29.43  | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.75/29.43  | | | | | | | | | | | | | | |          $i(all_57_30)
% 184.75/29.43  | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | ALPHA: (163) implies:
% 184.75/29.43  | | | | | | | | | | | | | | |   (164)   ~ (all_57_30 = e2)
% 184.75/29.43  | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | REDUCE: (42), (164) imply:
% 184.75/29.43  | | | | | | | | | | | | | | |   (165)  $false
% 184.75/29.43  | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | CLOSE: (165) is inconsistent.
% 184.75/29.43  | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | Case 2:
% 184.75/29.43  | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | |   (166)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.75/29.43  | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.75/29.43  | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.75/29.43  | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.75/29.43  | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 184.75/29.43  | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.75/29.43  | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.75/29.43  | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.75/29.43  | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 184.75/29.43  | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 184.75/29.43  | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 184.75/29.43  | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 184.75/29.43  | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.75/29.43  | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 184.75/29.43  | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 184.75/29.43  | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.75/29.43  | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.75/29.43  | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 184.75/29.43  | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 184.75/29.43  | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 184.75/29.43  | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.75/29.43  | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.75/29.43  | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.75/29.43  | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 184.75/29.43  | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.75/29.43  | | | | | | | | | | | | | | |                    e0) = e0))))
% 184.75/29.43  | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | ALPHA: (166) implies:
% 184.75/29.43  | | | | | | | | | | | | | | |   (167)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.75/29.43  | | | | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.75/29.43  | | | | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.75/29.43  | | | | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 184.75/29.43  | | | | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.75/29.43  | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.75/29.43  | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 184.75/29.43  | | | | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 184.75/29.43  | | | | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.75/29.43  | | | | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 184.75/29.43  | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 184.75/29.43  | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 184.75/29.43  | | | | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.75/29.43  | | | | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 184.75/29.43  | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 184.75/29.43  | | | | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 184.75/29.43  | | | | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.75/29.43  | | | | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 184.75/29.43  | | | | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 184.75/29.43  | | | | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 184.75/29.43  | | | | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 184.75/29.43  | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 184.75/29.43  | | | | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 184.75/29.43  | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | |   (168)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 184.75/29.43  | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 184.75/29.43  | | | | | | | | | | | | | | | |          ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 184.75/29.43  | | | | | | | | | | | | | | | |            all_57_22) = all_57_8 & op(e1, all_57_23) =
% 184.75/29.43  | | | | | | | | | | | | | | | |          all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 184.75/29.43  | | | | | | | | | | | | | | | |            e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 184.75/29.43  | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.75/29.43  | | | | | | | | | | | | | | | |          $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 184.75/29.43  | | | | | | | | | | | | | | | |          $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 184.75/29.43  | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | REF_CLOSE: (27), (28), (168) are inconsistent by sub-proof
% 184.75/29.43  | | | | | | | | | | | | | | | |            #1239.
% 184.75/29.43  | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | Case 2:
% 184.75/29.43  | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | |   (169)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 184.75/29.43  | | | | | | | | | | | | | | | |          (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 184.75/29.43  | | | | | | | | | | | | | | | |            all_57_25) = all_57_12 & op(e0, all_57_26) =
% 184.75/29.43  | | | | | | | | | | | | | | | |          all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 184.75/29.43  | | | | | | | | | | | | | | | |            all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 184.75/29.43  | | | | | | | | | | | | | | | |          & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 184.75/29.43  | | | | | | | | | | | | | | | |          & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.75/29.43  | | | | | | | | | | | | | | | |          $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 184.75/29.43  | | | | | | | | | | | | | | | |          $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 184.75/29.43  | | | | | | | | | | | | | | | |              & all_57_25 = e0 & op(e3, e0) = e0) |
% 184.75/29.43  | | | | | | | | | | | | | | | |            (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 184.75/29.43  | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 184.75/29.43  | | | | | | | | | | | | | | | |              op(e1, e0) = e0))
% 184.75/29.43  | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | ALPHA: (169) implies:
% 184.75/29.43  | | | | | | | | | | | | | | | |   (170)   ~ (all_57_15 = e0)
% 184.75/29.43  | | | | | | | | | | | | | | | |   (171)  op(e0, e0) = all_57_31
% 184.75/29.43  | | | | | | | | | | | | | | | |   (172)  op(e0, e3) = all_57_25
% 184.75/29.43  | | | | | | | | | | | | | | | |   (173)  op(e0, all_57_31) = all_57_15
% 184.75/29.43  | | | | | | | | | | | | | | | |   (174)  op(e0, all_57_27) = all_57_14
% 184.75/29.43  | | | | | | | | | | | | | | | |   (175)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 184.75/29.43  | | | | | | | | | | | | | | | |            & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 184.75/29.43  | | | | | | | | | | | | | | | |            = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 184.75/29.43  | | | | | | | | | | | | | | | |            all_57_27 = e0 & op(e1, e0) = e0)
% 184.75/29.43  | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | REDUCE: (28), (174) imply:
% 184.75/29.43  | | | | | | | | | | | | | | | |   (176)  op(e0, e3) = all_57_14
% 184.75/29.43  | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | BETA: splitting (21) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | |   (177)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 184.75/29.43  | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 184.75/29.43  | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16), (25), (27), (35), (39), (40), (48),
% 184.75/29.43  | | | | | | | | | | | | | | | | |            (52), (53), (54), (60), (61), (66), (68), (70),
% 184.75/29.43  | | | | | | | | | | | | | | | | |            (73), (89), (177) are inconsistent by sub-proof
% 184.75/29.43  | | | | | | | | | | | | | | | | |            #326.
% 184.75/29.43  | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.43  | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | |   (178)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 184.75/29.43  | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 184.75/29.43  | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | |   (179)  all_56_6 = e1 & op(e1, e3) = e1
% 184.75/29.43  | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | ALPHA: (179) implies:
% 184.75/29.43  | | | | | | | | | | | | | | | | | |   (180)  all_56_6 = e1
% 184.75/29.43  | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (8), (16), (17), (19), (23), (24),
% 184.75/29.43  | | | | | | | | | | | | | | | | | |            (25), (27), (35), (39), (40), (47), (48), (50),
% 184.75/29.43  | | | | | | | | | | | | | | | | | |            (54), (58), (59), (60), (61), (70), (73), (89),
% 184.75/29.43  | | | | | | | | | | | | | | | | | |            (95), (180) are inconsistent by sub-proof #318.
% 184.75/29.43  | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | |   (181)  all_56_12 = e1 & op(e0, e3) = e1
% 184.75/29.43  | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | ALPHA: (181) implies:
% 184.75/29.43  | | | | | | | | | | | | | | | | | |   (182)  all_56_12 = e1
% 184.75/29.43  | | | | | | | | | | | | | | | | | |   (183)  op(e0, e3) = e1
% 184.75/29.43  | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | |   (184)  all_57_31 = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | REDUCE: (173), (184) imply:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | |   (185)  op(e0, e0) = all_57_15
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (35) with e0, all_57_15, e0, e0,
% 184.75/29.43  | | | | | | | | | | | | | | | | | | |              simplifying with (90), (185) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | |   (186)  all_57_15 = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | REDUCE: (170), (186) imply:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | |   (187)  $false
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | CLOSE: (187) is inconsistent.
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | |   (188)   ~ (all_57_31 = e0)
% 184.75/29.43  | | | | | | | | | | | | | | | | | | |   (189)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.75/29.43  | | | | | | | | | | | | | | | | | | |            e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 184.75/29.43  | | | | | | | | | | | | | | | | | | |              e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 184.75/29.43  | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e0)
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | |   (190)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | ALPHA: (190) implies:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | |   (191)  all_57_25 = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | |   (192)  all_57_18 = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (191) imply:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | |   (193)  op(e0, e3) = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | |   (194)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e2) = e0)
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | |   (195)  all_57_28 = e0 & op(e3, e3) = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (195) implies:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | |   (196)  all_57_28 = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (65) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | |   (197)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = e3)
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | |   (198)  all_57_28 = e3 & op(e3, e3) = e3
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (198) implies:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | |   (199)  all_57_28 = e3
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (196), (199) imply:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | |   (200)  e3 = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (200) implies:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | |   (201)  e3 = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (201) imply:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | |   (202)  $false
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (202) is inconsistent.
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_57_29 = e3 & op(e2, e2) = e3
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (203) implies:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | |   (204)  op(e2, e2) = e3
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (35), (66), (204) are inconsistent by
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1015.
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | |   (205)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_25 & $i(all_57_25))
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | |   (206)  all_57_30 = e3 & op(e1, e1) = e3
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | |   (207)  op(e1, e1) = e3
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (48), (60), (207) are inconsistent by
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1164.
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | |   (208)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_25))
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  all_57_31 = e3 & op(e0, e0) = e3
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (209) implies:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_57_31 = e3
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (173), (210) imply:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  op(e0, e3) = all_57_15
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_52_3, all_57_15, e3,
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (33), (211) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_57_15 = all_52_3
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (8), (16), (17), (19), (21), (23),
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (24), (25), (27), (33), (35), (39), (40), (47),
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (50), (52), (53), (54), (58), (59), (60),
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (66), (68), (70), (73), (89), (95), (176),
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (182), (183), (193), (211), (212) are inconsistent
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #315.
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_57_29 = e0 & op(e2, e2) = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_52_3, e1, e3, e0,
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (33), (183) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  all_52_3 = e1
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_52_3, all_57_14, e3,
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (33), (176) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  all_57_14 = all_52_3
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_57_15, all_57_14, e3,
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (176), (211) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  all_57_14 = all_57_15
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (35) with e0, all_57_14, e3, e0,
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (176), (193) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  all_57_14 = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (215), (216) imply:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  all_57_15 = all_52_3
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (216), (217) imply:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_57_15 = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (218), (219) imply:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  all_52_3 = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (220) implies:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_52_3 = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (214), (221) imply:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  e1 = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (222) implies:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  e1 = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (182), (223) imply:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_56_12 = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (8), (16), (17), (19), (21), (23),
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (24), (25), (27), (35), (39), (40), (47), (48),
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (50), (52), (53), (54), (58), (59), (60), (61),
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (66), (68), (70), (73), (89), (95), (224) are
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #316.
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & $i(all_57_18))
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_57_30 = e0 & op(e1, e1) = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (226) implies:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  op(e1, e1) = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (35), (60), (227) are inconsistent by
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1230.
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_18))
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  all_57_31 = e0 & op(e0, e0) = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (229) implies:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_57_31 = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (210), (230) imply:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  e3 = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (231) imply:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  $false
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (232) is inconsistent.
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_18)
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (233) implies:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)   ~ (all_57_18 = e3)
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (35) with all_52_3, all_57_15, e3,
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (33), (211) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_57_15 = all_52_3
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (8), (16), (17), (19), (21), (23),
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (24), (25), (27), (33), (35), (39), (40), (47),
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (50), (52), (53), (54), (58), (59), (60),
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (66), (68), (70), (73), (89), (95), (176),
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (182), (183), (193), (211), (235) are inconsistent
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #315.
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e0)
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (28), (35), (46), (85), (236) are
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #314.
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (237)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_25)
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (237) implies:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (238)   ~ (all_57_25 = e0)
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (191), (238) imply:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  $false
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (239) is inconsistent.
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e0)
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (28), (35), (46), (85), (240) are
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #314.
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | |   (241)  all_57_29 = e0 & op(e2, e2) = e0
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (8), (16), (17), (19), (21), (23),
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | |            (24), (25), (27), (33), (35), (39), (40), (47),
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | |            (48), (50), (52), (53), (54), (58), (59), (60),
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | |            (61), (66), (68), (70), (73), (89), (95), (176),
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | |            (182), (183), (193) are inconsistent by sub-proof
% 184.75/29.43  | | | | | | | | | | | | | | | | | | | | | |            #313.
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | |   (242)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & $i(all_57_18))
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | |   (243)  all_57_30 = e0 & op(e1, e1) = e0
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (243) implies:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | |   (244)  op(e1, e1) = e0
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (35), (60), (244) are inconsistent by
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1230.
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | |   (245)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | |            (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_18))
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |   (246)  all_57_31 = e0 & op(e0, e0) = e0
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (246) implies:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_57_31 = e0
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (247) imply:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |   (248)  $false
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (248) is inconsistent.
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |   (249)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_18)
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (249) implies:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |   (250)   ~ (all_57_18 = e3)
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (8), (16), (17), (19), (21), (23),
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |            (24), (25), (27), (33), (35), (39), (40), (47),
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |            (48), (50), (52), (53), (54), (58), (59), (60),
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |            (61), (66), (68), (70), (73), (89), (95), (176),
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |            (182), (183), (193) are inconsistent by sub-proof
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |            #313.
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | |   (251)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | |            e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | |              e0) = e0)
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (28), (35), (46), (85), (251) are
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #314.
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | |   (252)  all_56_12 = e0 & op(e0, e3) = e0
% 184.75/29.44  | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | ALPHA: (252) implies:
% 184.75/29.44  | | | | | | | | | |   (253)  all_56_12 = e0
% 184.75/29.44  | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | REF_CLOSE: (1), (3), (7), (8), (16), (17), (19), (21), (23),
% 184.75/29.44  | | | | | | | | | |            (24), (25), (27), (35), (39), (40), (47), (48),
% 184.75/29.44  | | | | | | | | | |            (50), (52), (53), (54), (58), (59), (60), (61),
% 184.75/29.44  | | | | | | | | | |            (66), (68), (70), (73), (89), (95), (253) are
% 184.75/29.44  | | | | | | | | | |            inconsistent by sub-proof #316.
% 184.75/29.44  | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | 
% 184.75/29.44  | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | 
% 184.75/29.44  | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | 
% 184.75/29.44  | | | | | | | |   (254)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 184.75/29.44  | | | | | | | |              op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 184.75/29.44  | | | | | | | |              e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 184.75/29.44  | | | | | | | |            (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0
% 184.75/29.44  | | | | | | | |              & op(e0, e1) = e0))
% 184.75/29.44  | | | | | | | | 
% 184.75/29.44  | | | | | | | | ALPHA: (254) implies:
% 184.75/29.44  | | | | | | | |   (255)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.75/29.44  | | | | | | | |            op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.75/29.44  | | | | | | | |   (256)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 184.75/29.44  | | | | | | | |            op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.75/29.44  | | | | | | | | 
% 184.75/29.44  | | | | | | | | BETA: splitting (69) gives:
% 184.75/29.44  | | | | | | | | 
% 184.75/29.44  | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | 
% 184.75/29.44  | | | | | | | | |   (257)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 &
% 184.75/29.44  | | | | | | | | |            op(e2, e3) = e0)
% 184.75/29.44  | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | REF_CLOSE: (5), (8), (16), (25), (27), (35), (39), (40), (48),
% 184.75/29.44  | | | | | | | | |            (52), (53), (54), (60), (61), (66), (70), (73),
% 184.75/29.44  | | | | | | | | |            (89), (257) are inconsistent by sub-proof #312.
% 184.75/29.44  | | | | | | | | | 
% 184.75/29.44  | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | 
% 184.75/29.44  | | | | | | | | |   (258)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 &
% 184.75/29.44  | | | | | | | | |            op(e0, e3) = e0)
% 184.75/29.44  | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | BETA: splitting (258) gives:
% 184.75/29.44  | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | |   (259)  all_56_6 = e0 & op(e1, e3) = e0
% 184.75/29.44  | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | ALPHA: (259) implies:
% 184.75/29.44  | | | | | | | | | |   (260)  all_56_6 = e0
% 184.75/29.44  | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | BETA: splitting (255) gives:
% 184.75/29.44  | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | |   (261)  all_56_12 = e0 & op(e0, e3) = e0
% 184.75/29.44  | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | ALPHA: (261) implies:
% 184.75/29.44  | | | | | | | | | | |   (262)  all_56_12 = e0
% 184.75/29.44  | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | REF_CLOSE: (8), (16), (21), (25), (27), (35), (39), (40),
% 184.75/29.44  | | | | | | | | | | |            (48), (52), (53), (54), (60), (61), (66), (68),
% 184.75/29.44  | | | | | | | | | | |            (70), (73), (89), (260), (262) are inconsistent by
% 184.75/29.44  | | | | | | | | | | |            sub-proof #310.
% 184.75/29.44  | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | |   (263)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 184.75/29.44  | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 184.75/29.44  | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | REF_CLOSE: (16), (35), (52), (63), (84), (263) are
% 184.75/29.44  | | | | | | | | | | |            inconsistent by sub-proof #1440.
% 184.75/29.44  | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | |   (264)  all_56_12 = e0 & op(e0, e3) = e0
% 184.75/29.44  | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | ALPHA: (264) implies:
% 184.75/29.44  | | | | | | | | | |   (265)  all_56_12 = e0
% 184.75/29.44  | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | BETA: splitting (256) gives:
% 184.75/29.44  | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | |   (266)  all_56_9 = e0 & op(e3, e0) = e0
% 184.75/29.44  | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | ALPHA: (266) implies:
% 184.75/29.44  | | | | | | | | | | |   (267)  all_56_9 = e0
% 184.75/29.44  | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | BETA: splitting (62) gives:
% 184.75/29.44  | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | |   (268)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 184.75/29.44  | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 184.75/29.44  | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | REF_CLOSE: (1), (7), (8), (16), (21), (25), (27), (35), (39),
% 184.75/29.44  | | | | | | | | | | | |            (40), (44), (48), (52), (53), (54), (60), (61),
% 184.75/29.44  | | | | | | | | | | | |            (66), (68), (70), (73), (89), (265), (268) are
% 184.75/29.44  | | | | | | | | | | | |            inconsistent by sub-proof #308.
% 184.75/29.44  | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | |   (269)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 184.75/29.44  | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 184.75/29.44  | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | BETA: splitting (269) gives:
% 184.75/29.44  | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | |   (270)  all_56_14 = e2 & op(e0, e1) = e2
% 184.75/29.44  | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | ALPHA: (270) implies:
% 184.75/29.44  | | | | | | | | | | | | |   (271)  all_56_14 = e2
% 184.75/29.44  | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | REF_CLOSE: (48), (52), (271) are inconsistent by sub-proof
% 184.75/29.44  | | | | | | | | | | | | |            #1512.
% 184.75/29.44  | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | |   (272)  all_56_15 = e2 & op(e0, e0) = e2
% 184.75/29.44  | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | ALPHA: (272) implies:
% 184.75/29.44  | | | | | | | | | | | | |   (273)  all_56_15 = e2
% 184.75/29.44  | | | | | | | | | | | | |   (274)  op(e0, e0) = e2
% 184.75/29.44  | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | BETA: splitting (21) gives:
% 184.75/29.44  | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | |   (275)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 184.75/29.44  | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 184.75/29.44  | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | REF_CLOSE: (8), (16), (25), (27), (35), (39), (40), (48),
% 184.75/29.44  | | | | | | | | | | | | | |            (52), (53), (54), (60), (61), (66), (68), (70),
% 184.75/29.44  | | | | | | | | | | | | | |            (73), (89), (275) are inconsistent by sub-proof
% 184.75/29.44  | | | | | | | | | | | | | |            #326.
% 184.75/29.44  | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | |   (276)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 184.75/29.44  | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 184.75/29.44  | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 184.75/29.44  | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | |   (277)  all_56_6 = e1 & op(e1, e3) = e1
% 184.75/29.44  | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | ALPHA: (277) implies:
% 184.75/29.44  | | | | | | | | | | | | | | |   (278)  all_56_6 = e1
% 184.75/29.44  | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | |   (279)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 184.75/29.44  | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 184.75/29.44  | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | |   (280)  all_56_9 = e1 & op(e3, e0) = e1
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | ALPHA: (280) implies:
% 184.75/29.44  | | | | | | | | | | | | | | | | |   (281)  all_56_9 = e1
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (281) imply:
% 184.75/29.44  | | | | | | | | | | | | | | | | |   (282)  e1 = e0
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | COMBINE_EQS: (278), (282) imply:
% 184.75/29.44  | | | | | | | | | | | | | | | | |   (283)  all_56_6 = e0
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16), (21), (25), (27), (35), (39), (40),
% 184.75/29.44  | | | | | | | | | | | | | | | | |            (48), (52), (53), (54), (60), (61), (66), (68),
% 184.75/29.44  | | | | | | | | | | | | | | | | |            (70), (73), (89), (265), (283) are inconsistent by
% 184.75/29.44  | | | | | | | | | | | | | | | | |            sub-proof #310.
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | |   (284)  all_56_10 = e1 & op(e2, e0) = e1
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | ALPHA: (284) implies:
% 184.75/29.44  | | | | | | | | | | | | | | | | |   (285)  all_56_10 = e1
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16), (19), (25), (27), (35), (39), (40),
% 184.75/29.44  | | | | | | | | | | | | | | | | |            (48), (54), (60), (61), (70), (73), (89), (285)
% 184.75/29.44  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #322.
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | |   (286)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 184.75/29.44  | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 184.75/29.44  | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | |   (287)  all_56_11 = e1 & op(e1, e0) = e1
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | ALPHA: (287) implies:
% 184.75/29.44  | | | | | | | | | | | | | | | | |   (288)  all_56_11 = e1
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | BETA: splitting (50) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | |   (289)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 184.75/29.44  | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 184.75/29.44  | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | |   (290)  all_56_9 = e3 & op(e3, e0) = e3
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (267), (290) are inconsistent by sub-proof
% 184.75/29.44  | | | | | | | | | | | | | | | | | | |            #504.
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | |   (291)  all_56_10 = e3 & op(e2, e0) = e3
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | ALPHA: (291) implies:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | |   (292)  all_56_10 = e3
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | BETA: splitting (44) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | |   (293)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | |   (294)  all_56_12 = e1 & op(e0, e3) = e1
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16), (21), (25), (27), (35), (39), (40),
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | |            (48), (52), (53), (54), (60), (61), (66), (68),
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | |            (70), (73), (89), (265), (278), (294) are
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #307.
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | |   (295)  all_56_13 = e1 & op(e0, e2) = e1
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | ALPHA: (295) implies:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | |   (296)  all_56_13 = e1
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (39) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | |   (297)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |   (298)  all_56_2 = e2 & op(e2, e3) = e2
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (7), (8), (16), (19), (21), (25), (26),
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |            (27), (35), (37), (39), (40), (44), (48), (52),
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |            (53), (54), (59), (60), (61), (66), (68), (70),
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |            (73), (89), (90), (265), (274), (278), (292),
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |            (296), (298) are inconsistent by sub-proof #306.
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_56_3 = e2 & op(e2, e2) = e2
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (299) implies:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_56_3 = e2
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (300) imply:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |   (301)  e2 = e0
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (273), (301) imply:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |   (302)  all_56_15 = e0
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (8), (16), (17), (19), (23), (24),
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |            (25), (27), (35), (39), (40), (47), (48), (50),
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |            (54), (58), (59), (60), (61), (70), (73), (89),
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | |            (278), (302) are inconsistent by sub-proof #318.
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | |   (303)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16), (27), (35), (48), (60), (61), (70),
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | |            (73), (89), (292), (303) are inconsistent by
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #305.
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | |   (304)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (8), (16), (19), (25), (27), (35), (39),
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | |            (40), (48), (52), (54), (60), (61), (70), (73),
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | |            (89), (292), (304) are inconsistent by sub-proof
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | |            #304.
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | |   (305)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 184.75/29.44  | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 184.75/29.44  | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | |   (306)  all_56_11 = e3 & op(e1, e0) = e3
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (288), (306) are inconsistent by sub-proof
% 184.75/29.44  | | | | | | | | | | | | | | | | | | |            #715.
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | |   (307)  all_56_15 = e3 & op(e0, e0) = e3
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | ALPHA: (307) implies:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | |   (308)  op(e0, e0) = e3
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (35), (90), (308) are inconsistent by
% 184.75/29.44  | | | | | | | | | | | | | | | | | | |            sub-proof #1540.
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | |   (309)  all_56_15 = e1 & op(e0, e0) = e1
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | ALPHA: (309) implies:
% 184.75/29.44  | | | | | | | | | | | | | | | | |   (310)  op(e0, e0) = e1
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (35), (310) are inconsistent by
% 184.75/29.44  | | | | | | | | | | | | | | | | |            sub-proof #1516.
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | |   (311)  all_56_12 = e1 & op(e0, e3) = e1
% 184.75/29.44  | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | REF_CLOSE: (89), (265), (311) are inconsistent by sub-proof
% 184.75/29.44  | | | | | | | | | | | | | | |            #311.
% 184.75/29.44  | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | End of split
% 184.75/29.44  | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | |   (312)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 184.75/29.44  | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 184.75/29.44  | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | BETA: splitting (312) gives:
% 184.75/29.44  | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | |   (313)  all_56_10 = e0 & op(e2, e0) = e0
% 184.75/29.44  | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | ALPHA: (313) implies:
% 184.75/29.44  | | | | | | | | | | | |   (314)  op(e2, e0) = e0
% 184.75/29.44  | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | REF_CLOSE: (35), (46), (85), (314) are inconsistent by
% 184.75/29.44  | | | | | | | | | | | |            sub-proof #1504.
% 184.75/29.44  | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | |   (315)  all_56_11 = e0 & op(e1, e0) = e0
% 184.75/29.44  | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | ALPHA: (315) implies:
% 184.75/29.44  | | | | | | | | | | | |   (316)  all_56_11 = e0
% 184.75/29.44  | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | BETA: splitting (62) gives:
% 184.75/29.44  | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | |   (317)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 184.75/29.44  | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 184.75/29.44  | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | REF_CLOSE: (1), (7), (8), (16), (21), (25), (27), (35), (39),
% 184.75/29.44  | | | | | | | | | | | | |            (40), (44), (48), (52), (53), (54), (60), (61),
% 184.75/29.44  | | | | | | | | | | | | |            (66), (68), (70), (73), (89), (265), (317) are
% 184.75/29.44  | | | | | | | | | | | | |            inconsistent by sub-proof #308.
% 184.75/29.44  | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | |   (318)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 184.75/29.44  | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 184.75/29.44  | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | BETA: splitting (318) gives:
% 184.75/29.44  | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | |   (319)  all_56_14 = e2 & op(e0, e1) = e2
% 184.75/29.44  | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | ALPHA: (319) implies:
% 184.75/29.44  | | | | | | | | | | | | | |   (320)  all_56_14 = e2
% 184.75/29.44  | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | REF_CLOSE: (48), (52), (320) are inconsistent by sub-proof
% 184.75/29.44  | | | | | | | | | | | | | |            #1512.
% 184.75/29.44  | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | |   (321)  all_56_15 = e2 & op(e0, e0) = e2
% 184.75/29.44  | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | ALPHA: (321) implies:
% 184.75/29.44  | | | | | | | | | | | | | |   (322)  all_56_15 = e2
% 184.75/29.44  | | | | | | | | | | | | | |   (323)  op(e0, e0) = e2
% 184.75/29.44  | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | BETA: splitting (21) gives:
% 184.75/29.44  | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | |   (324)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 184.75/29.44  | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 184.75/29.44  | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | REF_CLOSE: (8), (16), (25), (27), (35), (39), (40), (48),
% 184.75/29.44  | | | | | | | | | | | | | | |            (52), (53), (54), (60), (61), (66), (68), (70),
% 184.75/29.44  | | | | | | | | | | | | | | |            (73), (89), (324) are inconsistent by sub-proof
% 184.75/29.44  | | | | | | | | | | | | | | |            #326.
% 184.75/29.44  | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | |   (325)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 184.75/29.44  | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 184.75/29.44  | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | |   (326)  all_56_6 = e1 & op(e1, e3) = e1
% 184.75/29.44  | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | ALPHA: (326) implies:
% 184.75/29.44  | | | | | | | | | | | | | | | |   (327)  all_56_6 = e1
% 184.75/29.44  | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | |   (328)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 184.75/29.44  | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | |   (329)  all_56_9 = e1 & op(e3, e0) = e1
% 184.75/29.44  | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | ALPHA: (329) implies:
% 184.75/29.44  | | | | | | | | | | | | | | | | | |   (330)  all_56_9 = e1
% 184.75/29.44  | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | BETA: splitting (50) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | |   (331)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 184.75/29.44  | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | |   (332)  all_56_9 = e3 & op(e3, e0) = e3
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (330), (332) are inconsistent by sub-proof
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | |            #1380.
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | |   (333)  all_56_10 = e3 & op(e2, e0) = e3
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | ALPHA: (333) implies:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | |   (334)  all_56_10 = e3
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | BETA: splitting (44) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | |   (335)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | |   (336)  all_56_12 = e1 & op(e0, e3) = e1
% 184.75/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16), (21), (25), (27), (35), (39), (40),
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | |            (48), (52), (53), (54), (60), (61), (66), (68),
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | |            (70), (73), (89), (265), (327), (336) are
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #307.
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | |   (337)  all_56_13 = e1 & op(e0, e2) = e1
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (337) implies:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | |   (338)  all_56_13 = e1
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (39) gives:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | |   (339)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_56_2 = e2 & op(e2, e3) = e2
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (7), (8), (16), (19), (21), (25), (26),
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            (27), (35), (37), (39), (40), (44), (48), (52),
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            (53), (54), (59), (60), (61), (66), (68), (70),
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            (73), (89), (90), (265), (323), (327), (334),
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            (338), (340) are inconsistent by sub-proof #306.
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_56_3 = e2 & op(e2, e2) = e2
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (341) implies:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_56_3 = e2
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (342) imply:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | |   (343)  e2 = e0
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (343) implies:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | |   (344)  e2 = e0
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (344) imply:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_56_15 = e0
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (16), (23), (24), (25), (27), (35), (47),
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            (48), (50), (58), (59), (60), (61), (89), (316),
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | |            (330), (345) are inconsistent by sub-proof #323.
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | |   (346)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16), (27), (35), (48), (60), (61), (70),
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | |            (73), (89), (334), (346) are inconsistent by
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #305.
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | |   (347)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (8), (16), (19), (25), (27), (35), (39),
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | |            (40), (48), (52), (54), (60), (61), (70), (73),
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | |            (89), (334), (347) are inconsistent by sub-proof
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | |            #304.
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | End of split
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | End of split
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | Case 2:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | |   (348)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 184.88/29.44  | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | BETA: splitting (348) gives:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | |   (349)  all_56_11 = e3 & op(e1, e0) = e3
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (316), (349) are inconsistent by sub-proof
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | |            #651.
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | |   (350)  all_56_15 = e3 & op(e0, e0) = e3
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | ALPHA: (350) implies:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | |   (351)  op(e0, e0) = e3
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (35), (90), (351) are inconsistent by
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | |            sub-proof #1540.
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | End of split
% 184.88/29.44  | | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | End of split
% 184.88/29.44  | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | Case 2:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | |   (352)  all_56_10 = e1 & op(e2, e0) = e1
% 184.88/29.44  | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | ALPHA: (352) implies:
% 184.88/29.44  | | | | | | | | | | | | | | | | | |   (353)  all_56_10 = e1
% 184.88/29.44  | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16), (19), (25), (27), (35), (39), (40),
% 184.88/29.44  | | | | | | | | | | | | | | | | | |            (48), (54), (60), (61), (70), (73), (89), (353)
% 184.88/29.44  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #322.
% 184.88/29.44  | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | End of split
% 184.88/29.44  | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | Case 2:
% 184.88/29.44  | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | |   (354)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 184.88/29.44  | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 184.88/29.44  | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | BETA: splitting (354) gives:
% 184.88/29.44  | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | Case 1:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | |   (355)  all_56_11 = e1 & op(e1, e0) = e1
% 184.88/29.44  | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | ALPHA: (355) implies:
% 184.88/29.44  | | | | | | | | | | | | | | | | | |   (356)  all_56_11 = e1
% 184.88/29.44  | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (356) imply:
% 184.88/29.44  | | | | | | | | | | | | | | | | | |   (357)  e1 = e0
% 184.88/29.44  | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (327), (357) imply:
% 184.88/29.44  | | | | | | | | | | | | | | | | | |   (358)  all_56_6 = e0
% 184.88/29.44  | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16), (21), (25), (27), (35), (39), (40),
% 184.88/29.44  | | | | | | | | | | | | | | | | | |            (48), (52), (53), (54), (60), (61), (66), (68),
% 184.88/29.44  | | | | | | | | | | | | | | | | | |            (70), (73), (89), (265), (358) are inconsistent by
% 184.88/29.44  | | | | | | | | | | | | | | | | | |            sub-proof #310.
% 184.88/29.44  | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | Case 2:
% 184.88/29.44  | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | |   (359)  all_56_15 = e1 & op(e0, e0) = e1
% 184.88/29.44  | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | ALPHA: (359) implies:
% 184.88/29.44  | | | | | | | | | | | | | | | | | |   (360)  op(e0, e0) = e1
% 184.88/29.44  | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (35), (360) are inconsistent by
% 184.88/29.44  | | | | | | | | | | | | | | | | | |            sub-proof #1516.
% 184.88/29.44  | | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | | End of split
% 184.88/29.44  | | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | End of split
% 184.88/29.44  | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | Case 2:
% 184.88/29.44  | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | |   (361)  all_56_12 = e1 & op(e0, e3) = e1
% 184.88/29.44  | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | | REF_CLOSE: (89), (265), (361) are inconsistent by sub-proof
% 184.88/29.44  | | | | | | | | | | | | | | | |            #311.
% 184.88/29.44  | | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | | End of split
% 184.88/29.44  | | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | | End of split
% 184.88/29.44  | | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | | End of split
% 184.88/29.44  | | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | | End of split
% 184.88/29.44  | | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | | End of split
% 184.88/29.44  | | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | | End of split
% 184.88/29.44  | | | | | | | | | | 
% 184.88/29.44  | | | | | | | | | End of split
% 184.88/29.44  | | | | | | | | | 
% 184.88/29.44  | | | | | | | | End of split
% 184.88/29.44  | | | | | | | | 
% 184.88/29.44  | | | | | | | End of split
% 184.88/29.44  | | | | | | | 
% 184.88/29.44  | | | | | | End of split
% 184.88/29.44  | | | | | | 
% 184.88/29.44  | | | | | End of split
% 184.88/29.44  | | | | | 
% 184.88/29.44  | | | | End of split
% 184.88/29.44  | | | | 
% 184.88/29.44  | | | End of split
% 184.88/29.44  | | | 
% 184.88/29.44  | | Case 2:
% 184.88/29.44  | | | 
% 184.88/29.44  | | |   (362)  all_56_5 = e0 & op(e2, e1) = e0
% 184.88/29.44  | | | 
% 184.88/29.44  | | | REF_CLOSE: (12), (22), (35), (362) are inconsistent by sub-proof #1476.
% 184.88/29.44  | | | 
% 184.88/29.44  | | End of split
% 184.88/29.44  | | 
% 184.88/29.44  | Case 2:
% 184.88/29.44  | | 
% 184.88/29.44  | |   (363)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 184.88/29.44  | |            e0)
% 184.88/29.44  | | 
% 184.88/29.44  | | BETA: splitting (363) gives:
% 184.88/29.44  | | 
% 184.88/29.44  | | Case 1:
% 184.88/29.44  | | | 
% 184.88/29.44  | | |   (364)  all_56_8 = e0 & op(e1, e1) = e0
% 184.88/29.44  | | | 
% 184.88/29.44  | | | ALPHA: (364) implies:
% 184.88/29.44  | | |   (365)  op(e1, e1) = e0
% 184.88/29.44  | | | 
% 184.88/29.44  | | | REF_CLOSE: (25), (35), (60), (365) are inconsistent by sub-proof #1230.
% 184.88/29.44  | | | 
% 184.88/29.44  | | Case 2:
% 184.88/29.44  | | | 
% 184.88/29.44  | | |   (366)  all_56_14 = e0 & op(e0, e1) = e0
% 184.88/29.44  | | | 
% 184.88/29.44  | | | REF_CLOSE: (16), (52), (366) are inconsistent by sub-proof #1371.
% 184.88/29.44  | | | 
% 184.88/29.44  | | End of split
% 184.88/29.44  | | 
% 184.88/29.44  | End of split
% 184.88/29.44  | 
% 184.88/29.44  End of proof
% 184.88/29.44  
% 184.88/29.44  Sub-proof #304 shows that the following formulas are inconsistent:
% 184.88/29.44  ----------------------------------------------------------------
% 184.88/29.44    (1)  op(e0, e0) = all_6_2
% 184.88/29.44    (2)  all_56_10 = e3
% 184.88/29.44    (3)   ~ (all_6_2 = e1)
% 184.88/29.44    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.88/29.44         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.88/29.44    (5)   ~ (e1 = e0)
% 184.88/29.44    (6)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 184.88/29.44    (7)   ~ (e3 = e0)
% 184.88/29.44    (8)  op(e2, e1) = e1
% 184.88/29.44    (9)   ~ (e2 = e0)
% 184.88/29.44    (10)   ~ (e3 = e1)
% 184.88/29.45    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.45            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.45    (12)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.45          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.45    (13)  all_56_3 = e0
% 184.88/29.45    (14)   ~ (e3 = e2)
% 184.88/29.45    (15)  all_56_14 = e3
% 184.88/29.45    (16)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.45          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.45    (17)  all_56_4 = e0
% 184.88/29.45    (18)  op(e1, e1) = e2
% 184.88/29.45    (19)   ~ (e2 = e1)
% 184.88/29.45    (20)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.45          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.45  
% 184.88/29.45  Begin of proof
% 184.88/29.45  | 
% 184.88/29.45  | BETA: splitting (6) gives:
% 184.88/29.45  | 
% 184.88/29.45  | Case 1:
% 184.88/29.45  | | 
% 184.88/29.45  | |   (21)  all_56_14 = e1 & op(e0, e1) = e1
% 184.88/29.45  | | 
% 184.88/29.45  | | ALPHA: (21) implies:
% 184.88/29.45  | |   (22)  all_56_14 = e1
% 184.88/29.45  | | 
% 184.88/29.45  | | COMBINE_EQS: (15), (22) imply:
% 184.88/29.45  | |   (23)  e3 = e1
% 184.88/29.45  | | 
% 184.88/29.45  | | SIMP: (23) implies:
% 184.88/29.45  | |   (24)  e3 = e1
% 184.88/29.45  | | 
% 184.88/29.45  | | COMBINE_EQS: (2), (24) imply:
% 184.88/29.45  | |   (25)  all_56_10 = e1
% 184.88/29.45  | | 
% 184.88/29.45  | | REF_CLOSE: (4), (5), (7), (8), (9), (10), (11), (12), (13), (14), (16),
% 184.88/29.45  | |            (17), (18), (19), (20), (25) are inconsistent by sub-proof #322.
% 184.88/29.45  | | 
% 184.88/29.45  | Case 2:
% 184.88/29.45  | | 
% 184.88/29.45  | |   (26)  all_56_15 = e1 & op(e0, e0) = e1
% 184.88/29.45  | | 
% 184.88/29.45  | | ALPHA: (26) implies:
% 184.88/29.45  | |   (27)  op(e0, e0) = e1
% 184.88/29.45  | | 
% 184.88/29.45  | | REF_CLOSE: (1), (3), (11), (27) are inconsistent by sub-proof #1516.
% 184.88/29.45  | | 
% 184.88/29.45  | End of split
% 184.88/29.45  | 
% 184.88/29.45  End of proof
% 184.88/29.45  
% 184.88/29.45  Sub-proof #305 shows that the following formulas are inconsistent:
% 184.88/29.45  ----------------------------------------------------------------
% 184.88/29.45    (1)  all_56_10 = e3
% 184.88/29.45    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.88/29.45         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.88/29.45    (3)   ~ (e1 = e0)
% 184.88/29.45    (4)   ~ (e3 = e0)
% 184.88/29.45    (5)   ~ (e3 = e1)
% 184.88/29.45    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.45    (7)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.45    (8)   ~ (e3 = e2)
% 184.88/29.45    (9)  all_56_4 = e0
% 184.88/29.45    (10)  op(e1, e1) = e2
% 184.88/29.45    (11)   ~ (e2 = e1)
% 184.88/29.45    (12)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.45          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.45  
% 184.88/29.45  Begin of proof
% 184.88/29.45  | 
% 184.88/29.45  | BETA: splitting (7) gives:
% 184.88/29.45  | 
% 184.88/29.45  | Case 1:
% 184.88/29.45  | | 
% 184.88/29.45  | |   (13)  all_56_5 = e2 & op(e2, e1) = e2
% 184.88/29.45  | | 
% 184.88/29.45  | | ALPHA: (13) implies:
% 184.88/29.45  | |   (14)  all_56_5 = e2
% 184.88/29.45  | | 
% 184.88/29.45  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (14) are
% 184.88/29.45  | |            inconsistent by sub-proof #932.
% 184.88/29.45  | | 
% 184.88/29.45  | Case 2:
% 184.88/29.45  | | 
% 184.88/29.45  | |   (15)  all_56_10 = e2 & op(e2, e0) = e2
% 184.88/29.45  | | 
% 184.88/29.45  | | ALPHA: (15) implies:
% 184.88/29.45  | |   (16)  all_56_10 = e2
% 184.88/29.45  | | 
% 184.88/29.45  | | REF_CLOSE: (1), (8), (16) are inconsistent by sub-proof #958.
% 184.88/29.45  | | 
% 184.88/29.45  | End of split
% 184.88/29.45  | 
% 184.88/29.45  End of proof
% 184.88/29.45  
% 184.88/29.45  Sub-proof #306 shows that the following formulas are inconsistent:
% 184.88/29.45  ----------------------------------------------------------------
% 184.88/29.45    (1)  op(e0, e0) = all_6_2
% 184.88/29.45    (2)  all_56_10 = e3
% 184.88/29.45    (3)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.45         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.88/29.45    (4)   ~ (all_6_2 = e1)
% 184.88/29.45    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.88/29.45         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.88/29.45    (6)   ~ (e1 = e0)
% 184.88/29.45    (7)  op(e0, e0) = e0
% 184.88/29.45    (8)   ~ (e3 = e0)
% 184.88/29.45    (9)  op(e2, e1) = e1
% 184.88/29.45    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.88/29.45          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.88/29.45    (11)   ~ (e2 = e0)
% 184.88/29.45    (12)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.45          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.88/29.45    (13)   ~ (e3 = e1)
% 184.88/29.45    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.45            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.45    (15)  all_56_12 = e0
% 184.88/29.45    (16)   ~ (all_52_6 = e2)
% 184.88/29.45    (17)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.45          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.45    (18)  all_56_3 = e0
% 184.88/29.45    (19)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.88/29.45          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.88/29.45            e1)
% 184.88/29.45    (20)   ~ (e3 = e2)
% 184.88/29.45    (21)  all_56_14 = e3
% 184.88/29.45    (22)  op(e3, e3) = all_4_2
% 184.88/29.45    (23)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.45          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.45    (24)  all_56_4 = e0
% 184.88/29.45    (25)  all_56_2 = e2 & op(e2, e3) = e2
% 184.88/29.45    (26)  op(e1, e2) = all_52_6
% 184.88/29.45    (27)  op(e1, e1) = e2
% 184.88/29.45    (28)   ~ (e2 = e1)
% 184.88/29.45    (29)  all_56_13 = e1
% 184.88/29.45    (30)  all_56_6 = e1
% 184.88/29.45    (31)  op(e2, e2) = e0
% 184.88/29.45    (32)   ~ (all_4_2 = e1)
% 184.88/29.45    (33)  op(e0, e0) = e2
% 184.88/29.45    (34)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.45          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.45  
% 184.88/29.45  Begin of proof
% 184.88/29.45  | 
% 184.88/29.45  | ALPHA: (25) implies:
% 184.88/29.45  |   (35)  all_56_2 = e2
% 184.88/29.45  | 
% 184.88/29.45  | BETA: splitting (12) gives:
% 184.88/29.45  | 
% 184.88/29.45  | Case 1:
% 184.88/29.45  | | 
% 184.88/29.45  | |   (36)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 184.88/29.45  | |           e2)
% 184.88/29.45  | | 
% 184.88/29.45  | | BETA: splitting (36) gives:
% 184.88/29.45  | | 
% 184.88/29.45  | | Case 1:
% 184.88/29.45  | | | 
% 184.88/29.45  | | |   (37)  all_56_1 = e2 & op(e3, e2) = e2
% 184.88/29.45  | | | 
% 184.88/29.45  | | | ALPHA: (37) implies:
% 184.88/29.45  | | |   (38)  all_56_1 = e2
% 184.88/29.45  | | | 
% 184.88/29.45  | | | BETA: splitting (3) gives:
% 184.88/29.45  | | | 
% 184.88/29.45  | | | Case 1:
% 184.88/29.45  | | | | 
% 184.88/29.45  | | | |   (39)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2)
% 184.88/29.45  | | | |           = e3)
% 184.88/29.45  | | | | 
% 184.88/29.45  | | | | REF_CLOSE: (8), (14), (20), (31), (38), (39) are inconsistent by
% 184.88/29.45  | | | |            sub-proof #372.
% 184.88/29.45  | | | | 
% 184.88/29.45  | | | Case 2:
% 184.88/29.45  | | | | 
% 184.88/29.45  | | | |   (40)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2)
% 184.88/29.45  | | | |           = e3)
% 184.88/29.45  | | | | 
% 184.88/29.45  | | | | BETA: splitting (40) gives:
% 184.88/29.45  | | | | 
% 184.88/29.45  | | | | Case 1:
% 184.88/29.45  | | | | | 
% 184.88/29.45  | | | | | 
% 184.88/29.45  | | | | | GROUND_INST: instantiating (14) with e0, e2, e0, e0, simplifying with
% 184.88/29.45  | | | | |              (7), (33) gives:
% 184.88/29.45  | | | | |   (41)  e2 = e0
% 184.88/29.45  | | | | | 
% 184.88/29.45  | | | | | COMBINE_EQS: (35), (41) imply:
% 184.88/29.45  | | | | |   (42)  all_56_2 = e0
% 184.88/29.45  | | | | | 
% 184.88/29.45  | | | | | REF_CLOSE: (5), (6), (8), (11), (13), (14), (17), (18), (20), (21),
% 184.88/29.45  | | | | |            (23), (24), (27), (28), (31), (34), (42) are inconsistent
% 184.88/29.45  | | | | |            by sub-proof #319.
% 184.88/29.45  | | | | | 
% 184.88/29.45  | | | | Case 2:
% 184.88/29.45  | | | | | 
% 184.88/29.45  | | | | |   (43)  all_56_13 = e3 & op(e0, e2) = e3
% 184.88/29.45  | | | | | 
% 184.88/29.45  | | | | | ALPHA: (43) implies:
% 184.88/29.45  | | | | |   (44)  all_56_13 = e3
% 184.88/29.45  | | | | | 
% 184.88/29.45  | | | | | REF_CLOSE: (2), (8), (9), (13), (14), (18), (20), (23), (29), (35),
% 184.88/29.45  | | | | |            (44) are inconsistent by sub-proof #337.
% 184.88/29.45  | | | | | 
% 184.88/29.45  | | | | End of split
% 184.88/29.45  | | | | 
% 184.88/29.45  | | | End of split
% 184.88/29.45  | | | 
% 184.88/29.45  | | Case 2:
% 184.88/29.45  | | | 
% 184.88/29.45  | | |   (45)  all_56_3 = e2 & op(e2, e2) = e2
% 184.88/29.45  | | | 
% 184.88/29.45  | | | ALPHA: (45) implies:
% 184.88/29.45  | | |   (46)  all_56_3 = e2
% 184.88/29.45  | | | 
% 184.88/29.45  | | | COMBINE_EQS: (18), (46) imply:
% 184.88/29.45  | | |   (47)  e2 = e0
% 184.88/29.45  | | | 
% 184.88/29.45  | | | COMBINE_EQS: (35), (47) imply:
% 184.88/29.45  | | |   (48)  all_56_2 = e0
% 184.88/29.45  | | | 
% 184.88/29.45  | | | REF_CLOSE: (5), (6), (8), (11), (13), (14), (17), (18), (20), (21), (23),
% 184.88/29.45  | | |            (24), (27), (28), (31), (34), (48) are inconsistent by
% 184.88/29.45  | | |            sub-proof #319.
% 184.88/29.45  | | | 
% 184.88/29.45  | | End of split
% 184.88/29.45  | | 
% 184.88/29.45  | Case 2:
% 184.88/29.45  | | 
% 184.88/29.45  | |   (49)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 184.88/29.45  | |           e2)
% 184.88/29.45  | | 
% 184.88/29.45  | | BETA: splitting (49) gives:
% 184.88/29.45  | | 
% 184.88/29.45  | | Case 1:
% 184.88/29.45  | | | 
% 184.88/29.45  | | |   (50)  all_56_7 = e2 & op(e1, e2) = e2
% 184.88/29.45  | | | 
% 184.88/29.45  | | | ALPHA: (50) implies:
% 184.88/29.45  | | |   (51)  op(e1, e2) = e2
% 184.88/29.45  | | | 
% 184.88/29.45  | | | REF_CLOSE: (14), (16), (26), (51) are inconsistent by sub-proof #1614.
% 184.88/29.45  | | | 
% 184.88/29.45  | | Case 2:
% 184.88/29.45  | | | 
% 184.88/29.45  | | |   (52)  all_56_13 = e2 & op(e0, e2) = e2
% 184.88/29.45  | | | 
% 184.88/29.45  | | | ALPHA: (52) implies:
% 184.88/29.45  | | |   (53)  all_56_13 = e2
% 184.88/29.45  | | | 
% 184.88/29.45  | | | REF_CLOSE: (1), (4), (5), (6), (8), (10), (11), (13), (14), (15), (17),
% 184.88/29.45  | | |            (18), (19), (20), (21), (22), (23), (24), (27), (28), (30),
% 184.88/29.45  | | |            (31), (32), (34), (53) are inconsistent by sub-proof #309.
% 184.88/29.45  | | | 
% 184.88/29.45  | | End of split
% 184.88/29.45  | | 
% 184.88/29.45  | End of split
% 184.88/29.45  | 
% 184.88/29.45  End of proof
% 184.88/29.45  
% 184.88/29.45  Sub-proof #307 shows that the following formulas are inconsistent:
% 184.88/29.45  ----------------------------------------------------------------
% 184.88/29.45    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.88/29.45         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.88/29.45    (2)   ~ (e1 = e0)
% 184.88/29.45    (3)   ~ (e3 = e0)
% 184.88/29.45    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.88/29.45         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.88/29.45    (5)  all_56_12 = e1 & op(e0, e3) = e1
% 184.88/29.45    (6)   ~ (e2 = e0)
% 184.88/29.45    (7)   ~ (e3 = e1)
% 184.88/29.45    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.45    (9)  all_56_12 = e0
% 184.88/29.45    (10)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.45          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.45    (11)  all_56_3 = e0
% 184.88/29.45    (12)   ~ (e3 = e2)
% 184.88/29.45    (13)  all_56_14 = e3
% 184.88/29.45    (14)  op(e3, e3) = all_4_2
% 184.88/29.45    (15)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.45          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.45    (16)  all_56_4 = e0
% 184.88/29.45    (17)  op(e1, e1) = e2
% 184.88/29.45    (18)   ~ (e2 = e1)
% 184.88/29.45    (19)  all_56_6 = e1
% 184.88/29.45    (20)  op(e2, e2) = e0
% 184.88/29.45    (21)   ~ (all_4_2 = e1)
% 184.88/29.45    (22)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.45          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.45  
% 184.88/29.45  Begin of proof
% 184.88/29.45  | 
% 184.88/29.45  | ALPHA: (5) implies:
% 184.88/29.45  |   (23)  all_56_12 = e1
% 184.88/29.45  | 
% 184.88/29.45  | COMBINE_EQS: (9), (23) imply:
% 184.88/29.45  |   (24)  e1 = e0
% 184.88/29.45  | 
% 184.88/29.45  | COMBINE_EQS: (19), (24) imply:
% 184.88/29.45  |   (25)  all_56_6 = e0
% 184.88/29.45  | 
% 184.88/29.45  | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 184.88/29.45  |            (14), (15), (16), (17), (18), (20), (21), (22), (25) are
% 184.88/29.45  |            inconsistent by sub-proof #310.
% 184.88/29.45  | 
% 184.88/29.45  End of proof
% 184.88/29.45  
% 184.88/29.45  Sub-proof #308 shows that the following formulas are inconsistent:
% 184.88/29.45  ----------------------------------------------------------------
% 184.88/29.45    (1)  op(e0, e0) = all_6_2
% 184.88/29.45    (2)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.88/29.45    (3)   ~ (all_6_2 = e1)
% 184.88/29.45    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.88/29.45         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.88/29.45    (5)   ~ (e1 = e0)
% 184.88/29.45    (6)   ~ (e3 = e0)
% 184.88/29.45    (7)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.88/29.45         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.88/29.45    (8)   ~ (e2 = e0)
% 184.88/29.45    (9)   ~ (e3 = e1)
% 184.88/29.45    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.45            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.45    (11)  all_56_12 = e0
% 184.88/29.45    (12)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.45          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.45    (13)  all_56_3 = e0
% 184.88/29.45    (14)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.88/29.45          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.88/29.45            e1)
% 184.88/29.45    (15)   ~ (e3 = e2)
% 184.88/29.45    (16)  all_56_14 = e3
% 184.88/29.45    (17)  op(e3, e3) = all_4_2
% 184.88/29.45    (18)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.45          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.45    (19)  all_56_4 = e0
% 184.88/29.45    (20)  op(e1, e1) = e2
% 184.88/29.45    (21)   ~ (e2 = e1)
% 184.88/29.45    (22)  op(e2, e2) = e0
% 184.88/29.45    (23)   ~ (all_4_2 = e1)
% 184.88/29.45    (24)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.45          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.45  
% 184.88/29.45  Begin of proof
% 184.88/29.45  | 
% 184.88/29.45  | BETA: splitting (2) gives:
% 184.88/29.45  | 
% 184.88/29.45  | Case 1:
% 184.88/29.45  | | 
% 184.88/29.45  | |   (25)  all_56_12 = e2 & op(e0, e3) = e2
% 184.88/29.45  | | 
% 184.88/29.45  | | REF_CLOSE: (8), (11), (25) are inconsistent by sub-proof #1514.
% 184.88/29.45  | | 
% 184.88/29.45  | Case 2:
% 184.88/29.45  | | 
% 184.88/29.45  | |   (26)  all_56_13 = e2 & op(e0, e2) = e2
% 184.88/29.45  | | 
% 184.88/29.45  | | ALPHA: (26) implies:
% 184.88/29.45  | |   (27)  all_56_13 = e2
% 184.88/29.45  | | 
% 184.88/29.45  | | BETA: splitting (7) gives:
% 184.88/29.45  | | 
% 184.88/29.45  | | Case 1:
% 184.88/29.45  | | | 
% 184.88/29.45  | | |   (28)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 184.88/29.45  | | |           e1)
% 184.88/29.45  | | | 
% 184.88/29.45  | | | REF_CLOSE: (4), (5), (6), (8), (9), (10), (12), (13), (15), (16), (17),
% 184.88/29.45  | | |            (18), (19), (20), (21), (22), (23), (24), (28) are inconsistent
% 184.88/29.45  | | |            by sub-proof #326.
% 184.88/29.45  | | | 
% 184.88/29.45  | | Case 2:
% 184.88/29.45  | | | 
% 184.88/29.45  | | |   (29)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 184.88/29.45  | | |           e1)
% 184.88/29.45  | | | 
% 184.88/29.45  | | | BETA: splitting (29) gives:
% 184.88/29.45  | | | 
% 184.88/29.45  | | | Case 1:
% 184.88/29.45  | | | | 
% 184.88/29.45  | | | |   (30)  all_56_6 = e1 & op(e1, e3) = e1
% 184.88/29.45  | | | | 
% 184.88/29.45  | | | | ALPHA: (30) implies:
% 184.88/29.45  | | | |   (31)  all_56_6 = e1
% 184.88/29.45  | | | | 
% 184.88/29.45  | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 184.88/29.45  | | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 184.88/29.45  | | | |            (23), (24), (27), (31) are inconsistent by sub-proof #309.
% 184.88/29.45  | | | | 
% 184.88/29.45  | | | Case 2:
% 184.88/29.45  | | | | 
% 184.88/29.45  | | | |   (32)  all_56_12 = e1 & op(e0, e3) = e1
% 184.88/29.45  | | | | 
% 184.88/29.45  | | | | REF_CLOSE: (5), (11), (32) are inconsistent by sub-proof #311.
% 184.88/29.45  | | | | 
% 184.88/29.45  | | | End of split
% 184.88/29.45  | | | 
% 184.88/29.45  | | End of split
% 184.88/29.45  | | 
% 184.88/29.45  | End of split
% 184.88/29.45  | 
% 184.88/29.45  End of proof
% 184.88/29.45  
% 184.88/29.45  Sub-proof #309 shows that the following formulas are inconsistent:
% 184.88/29.45  ----------------------------------------------------------------
% 184.88/29.45    (1)  op(e0, e0) = all_6_2
% 184.88/29.45    (2)   ~ (all_6_2 = e1)
% 184.88/29.45    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.88/29.45         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.88/29.45    (4)   ~ (e1 = e0)
% 184.88/29.45    (5)   ~ (e3 = e0)
% 184.88/29.45    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.88/29.45         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.88/29.45    (7)   ~ (e2 = e0)
% 184.88/29.45    (8)   ~ (e3 = e1)
% 184.88/29.45    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.45    (10)  all_56_12 = e0
% 184.88/29.45    (11)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.45          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.45    (12)  all_56_3 = e0
% 184.88/29.45    (13)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.88/29.45          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.88/29.45            e1)
% 184.88/29.45    (14)   ~ (e3 = e2)
% 184.88/29.45    (15)  all_56_14 = e3
% 184.88/29.45    (16)  op(e3, e3) = all_4_2
% 184.88/29.45    (17)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.45          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.45    (18)  all_56_4 = e0
% 184.88/29.45    (19)  op(e1, e1) = e2
% 184.88/29.45    (20)   ~ (e2 = e1)
% 184.88/29.45    (21)  all_56_13 = e2
% 184.88/29.45    (22)  all_56_6 = e1
% 184.88/29.45    (23)  op(e2, e2) = e0
% 184.88/29.45    (24)   ~ (all_4_2 = e1)
% 184.88/29.45    (25)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.45          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.45  
% 184.88/29.45  Begin of proof
% 184.88/29.45  | 
% 184.88/29.45  | BETA: splitting (13) gives:
% 184.88/29.45  | 
% 184.88/29.45  | Case 1:
% 184.88/29.45  | | 
% 184.88/29.45  | |   (26)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 184.88/29.45  | |           e1)
% 184.88/29.45  | | 
% 184.88/29.45  | | BETA: splitting (26) gives:
% 184.88/29.45  | | 
% 184.88/29.45  | | Case 1:
% 184.88/29.45  | | | 
% 184.88/29.45  | | |   (27)  all_56_12 = e1 & op(e0, e3) = e1
% 184.88/29.45  | | | 
% 184.88/29.45  | | | ALPHA: (27) implies:
% 184.88/29.45  | | |   (28)  all_56_12 = e1
% 184.88/29.45  | | | 
% 184.88/29.45  | | | COMBINE_EQS: (10), (28) imply:
% 184.88/29.45  | | |   (29)  e1 = e0
% 184.88/29.45  | | | 
% 184.88/29.45  | | | SIMP: (29) implies:
% 184.88/29.45  | | |   (30)  e1 = e0
% 184.88/29.45  | | | 
% 184.88/29.45  | | | COMBINE_EQS: (22), (30) imply:
% 184.88/29.45  | | |   (31)  all_56_6 = e0
% 184.88/29.45  | | | 
% 184.88/29.45  | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (14),
% 184.88/29.45  | | |            (15), (16), (17), (18), (19), (20), (23), (24), (25), (31) are
% 184.88/29.45  | | |            inconsistent by sub-proof #310.
% 184.88/29.45  | | | 
% 184.88/29.45  | | Case 2:
% 184.88/29.45  | | | 
% 184.88/29.45  | | |   (32)  all_56_13 = e1 & op(e0, e2) = e1
% 184.88/29.45  | | | 
% 184.88/29.45  | | | REF_CLOSE: (20), (21), (32) are inconsistent by sub-proof #1122.
% 184.88/29.45  | | | 
% 184.88/29.45  | | End of split
% 184.88/29.45  | | 
% 184.88/29.45  | Case 2:
% 184.88/29.45  | | 
% 184.88/29.45  | |   (33)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.88/29.45  | |           e1)
% 184.88/29.45  | | 
% 184.88/29.45  | | REF_CLOSE: (1), (2), (8), (9), (15), (33) are inconsistent by sub-proof
% 184.88/29.45  | |            #1368.
% 184.88/29.45  | | 
% 184.88/29.45  | End of split
% 184.88/29.45  | 
% 184.88/29.45  End of proof
% 184.88/29.45  
% 184.88/29.45  Sub-proof #310 shows that the following formulas are inconsistent:
% 184.88/29.45  ----------------------------------------------------------------
% 184.88/29.45    (1)  all_56_6 = e0
% 184.88/29.45    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.88/29.45         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.88/29.45    (3)   ~ (e1 = e0)
% 184.88/29.45    (4)   ~ (e3 = e0)
% 184.88/29.45    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.88/29.45         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.88/29.45    (6)   ~ (e2 = e0)
% 184.88/29.45    (7)   ~ (e3 = e1)
% 184.88/29.45    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.45    (9)  all_56_12 = e0
% 184.88/29.45    (10)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.45          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.45    (11)  all_56_3 = e0
% 184.88/29.45    (12)   ~ (e3 = e2)
% 184.88/29.45    (13)  all_56_14 = e3
% 184.88/29.45    (14)  op(e3, e3) = all_4_2
% 184.88/29.45    (15)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.45          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.45    (16)  all_56_4 = e0
% 184.88/29.45    (17)  op(e1, e1) = e2
% 184.88/29.45    (18)   ~ (e2 = e1)
% 184.88/29.45    (19)  op(e2, e2) = e0
% 184.88/29.45    (20)   ~ (all_4_2 = e1)
% 184.88/29.45    (21)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.45          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.45  
% 184.88/29.45  Begin of proof
% 184.88/29.45  | 
% 184.88/29.45  | BETA: splitting (5) gives:
% 184.88/29.45  | 
% 184.88/29.45  | Case 1:
% 184.88/29.45  | | 
% 184.88/29.45  | |   (22)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 184.88/29.45  | |           e1)
% 184.88/29.45  | | 
% 184.88/29.45  | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (10), (11), (12), (13), (14), (15),
% 184.88/29.45  | |            (16), (17), (18), (19), (20), (21), (22) are inconsistent by
% 184.88/29.45  | |            sub-proof #326.
% 184.88/29.45  | | 
% 184.88/29.45  | Case 2:
% 184.88/29.45  | | 
% 184.88/29.45  | |   (23)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 184.88/29.45  | |           e1)
% 184.88/29.45  | | 
% 184.88/29.45  | | BETA: splitting (23) gives:
% 184.88/29.45  | | 
% 184.88/29.45  | | Case 1:
% 184.88/29.45  | | | 
% 184.88/29.45  | | |   (24)  all_56_6 = e1 & op(e1, e3) = e1
% 184.88/29.45  | | | 
% 184.88/29.45  | | | ALPHA: (24) implies:
% 184.88/29.45  | | |   (25)  all_56_6 = e1
% 184.88/29.45  | | | 
% 184.88/29.45  | | | REF_CLOSE: (1), (3), (25) are inconsistent by sub-proof #1551.
% 184.88/29.45  | | | 
% 184.88/29.45  | | Case 2:
% 184.88/29.45  | | | 
% 184.88/29.45  | | |   (26)  all_56_12 = e1 & op(e0, e3) = e1
% 184.88/29.45  | | | 
% 184.88/29.45  | | | REF_CLOSE: (3), (9), (26) are inconsistent by sub-proof #311.
% 184.88/29.45  | | | 
% 184.88/29.45  | | End of split
% 184.88/29.45  | | 
% 184.88/29.45  | End of split
% 184.88/29.45  | 
% 184.88/29.45  End of proof
% 184.88/29.45  
% 184.88/29.45  Sub-proof #311 shows that the following formulas are inconsistent:
% 184.88/29.45  ----------------------------------------------------------------
% 184.88/29.45    (1)  all_56_12 = e1 & op(e0, e3) = e1
% 184.88/29.45    (2)  all_56_12 = e0
% 184.88/29.45    (3)   ~ (e1 = e0)
% 184.88/29.45  
% 184.88/29.45  Begin of proof
% 184.88/29.45  | 
% 184.88/29.45  | ALPHA: (1) implies:
% 184.88/29.45  |   (4)  all_56_12 = e1
% 184.88/29.45  | 
% 184.88/29.45  | COMBINE_EQS: (2), (4) imply:
% 184.88/29.45  |   (5)  e1 = e0
% 184.88/29.45  | 
% 184.88/29.45  | REDUCE: (3), (5) imply:
% 184.88/29.45  |   (6)  $false
% 184.88/29.45  | 
% 184.88/29.45  | CLOSE: (6) is inconsistent.
% 184.88/29.45  | 
% 184.88/29.45  End of proof
% 184.88/29.45  
% 184.88/29.45  Sub-proof #312 shows that the following formulas are inconsistent:
% 184.88/29.45  ----------------------------------------------------------------
% 184.88/29.45    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 184.88/29.45    (2)   ~ (all_4_2 = e0)
% 184.88/29.45    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.88/29.45         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.88/29.45    (4)   ~ (e1 = e0)
% 184.88/29.45    (5)   ~ (e3 = e0)
% 184.88/29.45    (6)   ~ (e2 = e0)
% 184.88/29.45    (7)   ~ (e3 = e1)
% 184.88/29.45    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.45    (9)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.45         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.45    (10)  all_56_3 = e0
% 184.88/29.45    (11)   ~ (e3 = e2)
% 184.88/29.45    (12)  all_56_14 = e3
% 184.88/29.45    (13)  op(e3, e3) = all_4_2
% 184.88/29.45    (14)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.45          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.45    (15)  all_56_4 = e0
% 184.88/29.45    (16)  op(e1, e1) = e2
% 184.88/29.45    (17)   ~ (e2 = e1)
% 184.88/29.45    (18)  op(e2, e2) = e0
% 184.88/29.45    (19)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.45          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.45  
% 184.88/29.45  Begin of proof
% 184.88/29.45  | 
% 184.88/29.45  | BETA: splitting (1) gives:
% 184.88/29.45  | 
% 184.88/29.45  | Case 1:
% 184.88/29.45  | | 
% 184.88/29.45  | |   (20)  all_56_0 = e0 & op(e3, e3) = e0
% 184.88/29.45  | | 
% 184.88/29.45  | | ALPHA: (20) implies:
% 184.88/29.45  | |   (21)  op(e3, e3) = e0
% 184.88/29.45  | | 
% 184.88/29.45  | | REF_CLOSE: (2), (8), (13), (21) are inconsistent by sub-proof #1624.
% 184.88/29.45  | | 
% 184.88/29.45  | Case 2:
% 184.88/29.45  | | 
% 184.88/29.45  | |   (22)  all_56_2 = e0 & op(e2, e3) = e0
% 184.88/29.45  | | 
% 184.88/29.45  | | ALPHA: (22) implies:
% 184.88/29.45  | |   (23)  all_56_2 = e0
% 184.88/29.45  | | 
% 184.88/29.45  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (14), (15),
% 184.88/29.45  | |            (16), (17), (18), (19), (23) are inconsistent by sub-proof #319.
% 184.88/29.45  | | 
% 184.88/29.45  | End of split
% 184.88/29.45  | 
% 184.88/29.45  End of proof
% 184.88/29.45  
% 184.88/29.45  Sub-proof #313 shows that the following formulas are inconsistent:
% 184.88/29.45  ----------------------------------------------------------------
% 184.88/29.45    (1)  op(e0, e0) = all_6_2
% 184.88/29.45    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.88/29.45         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.88/29.45    (3)   ~ (all_6_2 = e1)
% 184.88/29.45    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.88/29.45         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.88/29.45    (5)   ~ (e1 = e0)
% 184.88/29.45    (6)   ~ (e3 = e0)
% 184.88/29.45    (7)  op(e0, e3) = e1
% 184.88/29.45    (8)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 184.88/29.45         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 184.88/29.45    (9)  op(e2, e1) = e1
% 184.88/29.45    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.88/29.45          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.88/29.45    (11)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.88/29.45          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.88/29.45    (12)   ~ (all_52_6 = e0)
% 184.88/29.45    (13)   ~ (e2 = e0)
% 184.88/29.45    (14)   ~ (e3 = e1)
% 184.88/29.45    (15)  all_56_15 = e0
% 184.88/29.45    (16)  op(e0, e3) = all_52_3
% 184.88/29.46    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.46            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.46    (18)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.46          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.46    (19)  all_56_3 = e0
% 184.88/29.46    (20)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 184.88/29.46          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.88/29.46    (21)   ~ (e3 = e2)
% 184.88/29.46    (22)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 184.88/29.46          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.88/29.46    (23)  all_56_12 = e1
% 184.88/29.46    (24)  all_56_14 = e3
% 184.88/29.46    (25)  op(e3, e3) = all_4_2
% 184.88/29.46    (26)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.46          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.46    (27)  all_56_4 = e0
% 184.88/29.46    (28)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.88/29.46          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.88/29.46    (29)  op(e1, e2) = all_52_6
% 184.88/29.46    (30)  op(e1, e1) = e2
% 184.88/29.46    (31)  op(e0, e3) = all_57_14
% 184.88/29.46    (32)   ~ (e2 = e1)
% 184.88/29.46    (33)  op(e0, e3) = e0
% 184.88/29.46    (34)  op(e2, e2) = e0
% 184.88/29.46    (35)   ~ (all_4_2 = e1)
% 184.88/29.46    (36)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.46          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.46  
% 184.88/29.46  Begin of proof
% 184.88/29.46  | 
% 184.88/29.46  | GROUND_INST: instantiating (17) with all_52_3, all_57_14, e3, e0, simplifying
% 184.88/29.46  |              with (16), (31) gives:
% 184.88/29.46  |   (37)  all_57_14 = all_52_3
% 184.88/29.46  | 
% 184.88/29.46  | GROUND_INST: instantiating (17) with e1, all_57_14, e3, e0, simplifying with
% 184.88/29.46  |              (7), (31) gives:
% 184.88/29.46  |   (38)  all_57_14 = e1
% 184.88/29.46  | 
% 184.88/29.46  | GROUND_INST: instantiating (17) with e0, all_57_14, e3, e0, simplifying with
% 184.88/29.46  |              (31), (33) gives:
% 184.88/29.46  |   (39)  all_57_14 = e0
% 184.88/29.46  | 
% 184.88/29.46  | COMBINE_EQS: (37), (39) imply:
% 184.88/29.46  |   (40)  all_52_3 = e0
% 184.88/29.46  | 
% 184.88/29.46  | COMBINE_EQS: (37), (38) imply:
% 184.88/29.46  |   (41)  all_52_3 = e1
% 184.88/29.46  | 
% 184.88/29.46  | COMBINE_EQS: (40), (41) imply:
% 184.88/29.46  |   (42)  e1 = e0
% 184.88/29.46  | 
% 184.88/29.46  | COMBINE_EQS: (23), (42) imply:
% 184.88/29.46  |   (43)  all_56_12 = e0
% 184.88/29.46  | 
% 184.88/29.46  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 184.88/29.46  |            (14), (15), (17), (18), (19), (20), (21), (22), (24), (25), (26),
% 184.88/29.46  |            (27), (28), (29), (30), (32), (34), (35), (36), (43) are
% 184.88/29.46  |            inconsistent by sub-proof #316.
% 184.88/29.46  | 
% 184.88/29.46  End of proof
% 184.88/29.46  
% 184.88/29.46  Sub-proof #314 shows that the following formulas are inconsistent:
% 184.88/29.46  ----------------------------------------------------------------
% 184.88/29.46    (1)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 184.88/29.46           all_57_27 = e0 & op(e1, e0) = e0)
% 184.88/29.46    (2)   ~ (e3 = e0)
% 184.88/29.46    (3)  all_57_27 = e3
% 184.88/29.46    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.46    (5)  op(e2, e0) = all_52_13
% 184.88/29.46    (6)   ~ (all_52_13 = e0)
% 184.88/29.46  
% 184.88/29.46  Begin of proof
% 184.88/29.46  | 
% 184.88/29.46  | BETA: splitting (1) gives:
% 184.88/29.46  | 
% 184.88/29.46  | Case 1:
% 184.88/29.46  | | 
% 184.88/29.46  | |   (7)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 184.88/29.46  | | 
% 184.88/29.46  | | ALPHA: (7) implies:
% 184.88/29.46  | |   (8)  op(e2, e0) = e0
% 184.88/29.46  | | 
% 184.88/29.46  | | REF_CLOSE: (4), (5), (6), (8) are inconsistent by sub-proof #1504.
% 184.88/29.46  | | 
% 184.88/29.46  | Case 2:
% 184.88/29.46  | | 
% 184.88/29.46  | |   (9)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 184.88/29.46  | | 
% 184.88/29.46  | | ALPHA: (9) implies:
% 184.88/29.46  | |   (10)  all_57_27 = e0
% 184.88/29.46  | | 
% 184.88/29.46  | | COMBINE_EQS: (3), (10) imply:
% 184.88/29.46  | |   (11)  e3 = e0
% 184.88/29.46  | | 
% 184.88/29.46  | | SIMP: (11) implies:
% 184.88/29.46  | |   (12)  e3 = e0
% 184.88/29.46  | | 
% 184.88/29.46  | | REDUCE: (2), (12) imply:
% 184.88/29.46  | |   (13)  $false
% 184.88/29.46  | | 
% 184.88/29.46  | | CLOSE: (13) is inconsistent.
% 184.88/29.46  | | 
% 184.88/29.46  | End of split
% 184.88/29.46  | 
% 184.88/29.46  End of proof
% 184.88/29.46  
% 184.88/29.46  Sub-proof #315 shows that the following formulas are inconsistent:
% 184.88/29.46  ----------------------------------------------------------------
% 184.88/29.46    (1)  op(e0, e0) = all_6_2
% 184.88/29.46    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.88/29.46         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.88/29.46    (3)  all_57_15 = all_52_3
% 184.88/29.46    (4)   ~ (all_6_2 = e1)
% 184.88/29.46    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.88/29.46         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.88/29.46    (6)   ~ (e1 = e0)
% 184.88/29.46    (7)   ~ (e3 = e0)
% 184.88/29.46    (8)  op(e0, e3) = e1
% 184.88/29.46    (9)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 184.88/29.46         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 184.88/29.46    (10)  op(e2, e1) = e1
% 184.88/29.46    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.88/29.46          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.88/29.46    (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.88/29.46          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.88/29.46    (13)   ~ (all_52_6 = e0)
% 184.88/29.46    (14)   ~ (e2 = e0)
% 184.88/29.46    (15)   ~ (e3 = e1)
% 184.88/29.46    (16)  all_56_15 = e0
% 184.88/29.46    (17)  op(e0, e3) = all_52_3
% 184.88/29.46    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.46            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.46    (19)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.46          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.46    (20)  all_56_3 = e0
% 184.88/29.46    (21)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 184.88/29.46          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.88/29.46    (22)   ~ (e3 = e2)
% 184.88/29.46    (23)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 184.88/29.46          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.88/29.46    (24)  all_56_12 = e1
% 184.88/29.46    (25)  all_56_14 = e3
% 184.88/29.46    (26)  op(e3, e3) = all_4_2
% 184.88/29.46    (27)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.46          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.46    (28)  all_56_4 = e0
% 184.88/29.46    (29)  op(e0, e3) = all_57_15
% 184.88/29.46    (30)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.88/29.46          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.88/29.46    (31)  op(e1, e2) = all_52_6
% 184.88/29.46    (32)  op(e1, e1) = e2
% 184.88/29.46    (33)  op(e0, e3) = all_57_14
% 184.88/29.46    (34)   ~ (e2 = e1)
% 184.88/29.46    (35)  op(e0, e3) = e0
% 184.88/29.46    (36)  op(e2, e2) = e0
% 184.88/29.46    (37)   ~ (all_4_2 = e1)
% 184.88/29.46    (38)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.46          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.46  
% 184.88/29.46  Begin of proof
% 184.88/29.46  | 
% 184.88/29.46  | GROUND_INST: instantiating (18) with e0, all_57_15, e3, e0, simplifying with
% 184.88/29.46  |              (29), (35) gives:
% 184.88/29.46  |   (39)  all_57_15 = e0
% 184.88/29.46  | 
% 184.88/29.46  | GROUND_INST: instantiating (18) with all_52_3, all_57_14, e3, e0, simplifying
% 184.88/29.46  |              with (17), (33) gives:
% 184.88/29.46  |   (40)  all_57_14 = all_52_3
% 184.88/29.46  | 
% 184.88/29.46  | GROUND_INST: instantiating (18) with e1, all_57_14, e3, e0, simplifying with
% 184.88/29.46  |              (8), (33) gives:
% 184.88/29.46  |   (41)  all_57_14 = e1
% 184.88/29.46  | 
% 184.88/29.46  | COMBINE_EQS: (40), (41) imply:
% 184.88/29.46  |   (42)  all_52_3 = e1
% 184.88/29.46  | 
% 184.88/29.46  | SIMP: (42) implies:
% 184.88/29.46  |   (43)  all_52_3 = e1
% 184.88/29.46  | 
% 184.88/29.46  | COMBINE_EQS: (3), (39) imply:
% 184.88/29.46  |   (44)  all_52_3 = e0
% 184.88/29.46  | 
% 184.88/29.46  | SIMP: (44) implies:
% 184.88/29.46  |   (45)  all_52_3 = e0
% 184.88/29.46  | 
% 184.88/29.46  | COMBINE_EQS: (43), (45) imply:
% 184.88/29.46  |   (46)  e1 = e0
% 184.88/29.46  | 
% 184.88/29.46  | COMBINE_EQS: (24), (46) imply:
% 184.88/29.46  |   (47)  all_56_12 = e0
% 184.88/29.46  | 
% 184.88/29.46  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (9), (10), (11), (12), (13), (14),
% 184.88/29.46  |            (15), (16), (18), (19), (20), (21), (22), (23), (25), (26), (27),
% 184.88/29.46  |            (28), (30), (31), (32), (34), (36), (37), (38), (47) are
% 184.88/29.46  |            inconsistent by sub-proof #316.
% 184.88/29.46  | 
% 184.88/29.46  End of proof
% 184.88/29.46  
% 184.88/29.46  Sub-proof #316 shows that the following formulas are inconsistent:
% 184.88/29.46  ----------------------------------------------------------------
% 184.88/29.46    (1)  op(e0, e0) = all_6_2
% 184.88/29.46    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.88/29.46         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.88/29.46    (3)   ~ (all_6_2 = e1)
% 184.88/29.46    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.88/29.46         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.88/29.46    (5)   ~ (e1 = e0)
% 184.88/29.46    (6)   ~ (e3 = e0)
% 184.88/29.46    (7)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 184.88/29.46         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 184.88/29.46    (8)  op(e2, e1) = e1
% 184.88/29.46    (9)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.88/29.46         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.88/29.46    (10)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.88/29.46          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.88/29.46    (11)   ~ (all_52_6 = e0)
% 184.88/29.46    (12)   ~ (e2 = e0)
% 184.88/29.46    (13)   ~ (e3 = e1)
% 184.88/29.46    (14)  all_56_15 = e0
% 184.88/29.46    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.46            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.46    (16)  all_56_12 = e0
% 184.88/29.46    (17)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.46          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.46    (18)  all_56_3 = e0
% 184.88/29.46    (19)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 184.88/29.46          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.88/29.46    (20)   ~ (e3 = e2)
% 184.88/29.46    (21)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 184.88/29.46          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.88/29.46    (22)  all_56_14 = e3
% 184.88/29.46    (23)  op(e3, e3) = all_4_2
% 184.88/29.46    (24)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.46          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.46    (25)  all_56_4 = e0
% 184.88/29.46    (26)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.88/29.46          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.88/29.46    (27)  op(e1, e2) = all_52_6
% 184.88/29.46    (28)  op(e1, e1) = e2
% 184.88/29.46    (29)   ~ (e2 = e1)
% 184.88/29.46    (30)  op(e2, e2) = e0
% 184.88/29.46    (31)   ~ (all_4_2 = e1)
% 184.88/29.46    (32)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.46          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.46  
% 184.88/29.46  Begin of proof
% 184.88/29.46  | 
% 184.88/29.46  | BETA: splitting (9) gives:
% 184.88/29.46  | 
% 184.88/29.46  | Case 1:
% 184.88/29.46  | | 
% 184.88/29.46  | |   (33)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 184.88/29.46  | |           e1)
% 184.88/29.46  | | 
% 184.88/29.46  | | REF_CLOSE: (4), (5), (6), (12), (13), (15), (17), (18), (20), (22), (23),
% 184.88/29.46  | |            (24), (25), (28), (29), (30), (31), (32), (33) are inconsistent
% 184.88/29.46  | |            by sub-proof #326.
% 184.88/29.46  | | 
% 184.88/29.46  | Case 2:
% 184.88/29.46  | | 
% 184.88/29.46  | |   (34)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 184.88/29.46  | |           e1)
% 184.88/29.46  | | 
% 184.88/29.46  | | BETA: splitting (34) gives:
% 184.88/29.46  | | 
% 184.88/29.46  | | Case 1:
% 184.88/29.46  | | | 
% 184.88/29.46  | | |   (35)  all_56_6 = e1 & op(e1, e3) = e1
% 184.88/29.46  | | | 
% 184.88/29.46  | | | ALPHA: (35) implies:
% 184.88/29.46  | | |   (36)  all_56_6 = e1
% 184.88/29.46  | | | 
% 184.88/29.46  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 184.88/29.46  | | |            (14), (15), (17), (18), (19), (20), (21), (24), (25), (26),
% 184.88/29.46  | | |            (27), (28), (29), (32), (36) are inconsistent by sub-proof
% 184.88/29.46  | | |            #318.
% 184.88/29.46  | | | 
% 184.88/29.46  | | Case 2:
% 184.88/29.46  | | | 
% 184.88/29.46  | | |   (37)  all_56_12 = e1 & op(e0, e3) = e1
% 184.88/29.46  | | | 
% 184.88/29.46  | | | ALPHA: (37) implies:
% 184.88/29.46  | | |   (38)  all_56_12 = e1
% 184.88/29.46  | | | 
% 184.88/29.46  | | | REF_CLOSE: (5), (16), (38) are inconsistent by sub-proof #532.
% 184.88/29.46  | | | 
% 184.88/29.46  | | End of split
% 184.88/29.46  | | 
% 184.88/29.46  | End of split
% 184.88/29.46  | 
% 184.88/29.46  End of proof
% 184.88/29.46  
% 184.88/29.46  Sub-proof #317 shows that the following formulas are inconsistent:
% 184.88/29.46  ----------------------------------------------------------------
% 184.88/29.46    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.46    (2)   ~ (all_52_6 = e2)
% 184.88/29.46    (3)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 184.88/29.46             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.88/29.46           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.88/29.46             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.88/29.46           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 184.88/29.46           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 184.88/29.46           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 184.88/29.46           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 184.88/29.46           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 184.88/29.46           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.88/29.46             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 184.88/29.46           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.88/29.46           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 184.88/29.46    (4)  op(e1, e2) = all_52_6
% 184.88/29.46    (5)  op(e2, e2) = e0
% 184.88/29.46  
% 184.88/29.46  Begin of proof
% 184.88/29.46  | 
% 184.88/29.46  | BETA: splitting (3) gives:
% 184.88/29.46  | 
% 184.88/29.46  | Case 1:
% 184.88/29.46  | | 
% 184.88/29.46  | |   (6)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4
% 184.88/29.46  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 184.88/29.46  | |          e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 &
% 184.88/29.46  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.88/29.46  | |        all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 184.88/29.46  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 184.88/29.46  | |        $i(all_57_21) & $i(all_57_29)
% 184.88/29.46  | | 
% 184.88/29.46  | | ALPHA: (6) implies:
% 184.88/29.46  | |   (7)  op(e1, e2) = e2
% 184.88/29.46  | | 
% 184.88/29.46  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #1614.
% 184.88/29.46  | | 
% 184.88/29.46  | Case 2:
% 184.88/29.46  | | 
% 184.88/29.46  | |   (8)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4
% 184.88/29.46  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 =
% 184.88/29.46  | |          e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20) = all_57_6 &
% 184.88/29.46  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.88/29.46  | |        all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) =
% 184.88/29.46  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_19) &
% 184.88/29.46  | |        $i(all_57_20) & $i(all_57_29)
% 184.88/29.46  | | 
% 184.88/29.46  | | ALPHA: (8) implies:
% 184.88/29.46  | |   (9)   ~ (all_57_29 = e0)
% 184.88/29.46  | |   (10)  op(e2, e2) = all_57_29
% 184.88/29.46  | | 
% 184.88/29.46  | | REF_CLOSE: (1), (5), (9), (10) are inconsistent by sub-proof #1334.
% 184.88/29.46  | | 
% 184.88/29.46  | End of split
% 184.88/29.46  | 
% 184.88/29.46  End of proof
% 184.88/29.46  
% 184.88/29.46  Sub-proof #318 shows that the following formulas are inconsistent:
% 184.88/29.46  ----------------------------------------------------------------
% 184.88/29.46    (1)  op(e0, e0) = all_6_2
% 184.88/29.46    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.88/29.46         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.88/29.46    (3)   ~ (all_6_2 = e1)
% 184.88/29.46    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.88/29.46         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.88/29.46    (5)   ~ (e1 = e0)
% 184.88/29.46    (6)   ~ (e3 = e0)
% 184.88/29.46    (7)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 184.88/29.46         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 184.88/29.46    (8)  op(e2, e1) = e1
% 184.88/29.46    (9)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.88/29.46         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.88/29.46    (10)   ~ (all_52_6 = e0)
% 184.88/29.46    (11)   ~ (e2 = e0)
% 184.88/29.46    (12)   ~ (e3 = e1)
% 184.88/29.46    (13)  all_56_15 = e0
% 184.88/29.46    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.46            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.46    (15)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.46          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.46    (16)  all_56_3 = e0
% 184.88/29.46    (17)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 184.88/29.46          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.88/29.46    (18)   ~ (e3 = e2)
% 184.88/29.46    (19)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 184.88/29.46          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.88/29.46    (20)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.46          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.46    (21)  all_56_4 = e0
% 184.88/29.46    (22)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.88/29.46          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.88/29.46    (23)  op(e1, e2) = all_52_6
% 184.88/29.46    (24)  op(e1, e1) = e2
% 184.88/29.46    (25)   ~ (e2 = e1)
% 184.88/29.46    (26)  all_56_6 = e1
% 184.88/29.46    (27)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.46          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.46  
% 184.88/29.46  Begin of proof
% 184.88/29.46  | 
% 184.88/29.46  | BETA: splitting (9) gives:
% 184.88/29.46  | 
% 184.88/29.46  | Case 1:
% 184.88/29.46  | | 
% 184.88/29.46  | |   (28)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 184.88/29.46  | |           e0)
% 184.88/29.46  | | 
% 184.88/29.46  | | BETA: splitting (28) gives:
% 184.88/29.46  | | 
% 184.88/29.46  | | Case 1:
% 184.88/29.46  | | | 
% 184.88/29.46  | | |   (29)  all_56_6 = e0 & op(e1, e3) = e0
% 184.88/29.46  | | | 
% 184.88/29.46  | | | REF_CLOSE: (5), (26), (29) are inconsistent by sub-proof #1092.
% 184.88/29.46  | | | 
% 184.88/29.46  | | Case 2:
% 184.88/29.46  | | | 
% 184.88/29.46  | | |   (30)  all_56_7 = e0 & op(e1, e2) = e0
% 184.88/29.46  | | | 
% 184.88/29.46  | | | REF_CLOSE: (10), (14), (23), (30) are inconsistent by sub-proof #1199.
% 184.88/29.46  | | | 
% 184.88/29.46  | | End of split
% 184.88/29.46  | | 
% 184.88/29.46  | Case 2:
% 184.88/29.46  | | 
% 184.88/29.46  | |   (31)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 184.88/29.46  | |           e0)
% 184.88/29.46  | | 
% 184.88/29.46  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 184.88/29.46  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 184.88/29.46  | |            (24), (25), (27), (31) are inconsistent by sub-proof #321.
% 184.88/29.46  | | 
% 184.88/29.46  | End of split
% 184.88/29.46  | 
% 184.88/29.46  End of proof
% 184.88/29.46  
% 184.88/29.46  Sub-proof #319 shows that the following formulas are inconsistent:
% 184.88/29.46  ----------------------------------------------------------------
% 184.88/29.46    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.88/29.46         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.88/29.46    (2)   ~ (e1 = e0)
% 184.88/29.46    (3)   ~ (e3 = e0)
% 184.88/29.46    (4)  all_56_2 = e0
% 184.88/29.46    (5)   ~ (e2 = e0)
% 184.88/29.46    (6)   ~ (e3 = e1)
% 184.88/29.46    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.46    (8)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.46         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.46    (9)  all_56_3 = e0
% 184.88/29.46    (10)   ~ (e3 = e2)
% 184.88/29.46    (11)  all_56_14 = e3
% 184.88/29.46    (12)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.46          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.46    (13)  all_56_4 = e0
% 184.88/29.46    (14)  op(e1, e1) = e2
% 184.88/29.46    (15)   ~ (e2 = e1)
% 184.88/29.46    (16)  op(e2, e2) = e0
% 184.88/29.46    (17)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.46          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.46  
% 184.88/29.46  Begin of proof
% 184.88/29.46  | 
% 184.88/29.46  | BETA: splitting (8) gives:
% 184.88/29.46  | 
% 184.88/29.46  | Case 1:
% 184.88/29.46  | | 
% 184.88/29.46  | |   (18)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 184.88/29.46  | |           e2)
% 184.88/29.46  | | 
% 184.88/29.46  | | BETA: splitting (18) gives:
% 184.88/29.46  | | 
% 184.88/29.46  | | Case 1:
% 184.88/29.46  | | | 
% 184.88/29.46  | | |   (19)  all_56_2 = e2 & op(e2, e3) = e2
% 184.88/29.46  | | | 
% 184.88/29.46  | | | REF_CLOSE: (4), (5), (19) are inconsistent by sub-proof #638.
% 184.88/29.46  | | | 
% 184.88/29.46  | | Case 2:
% 184.88/29.46  | | | 
% 184.88/29.46  | | |   (20)  all_56_3 = e2 & op(e2, e2) = e2
% 184.88/29.46  | | | 
% 184.88/29.46  | | | REF_CLOSE: (5), (9), (20) are inconsistent by sub-proof #392.
% 184.88/29.46  | | | 
% 184.88/29.46  | | End of split
% 184.88/29.46  | | 
% 184.88/29.46  | Case 2:
% 184.88/29.46  | | 
% 184.88/29.46  | |   (21)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 184.88/29.46  | |           e2)
% 184.88/29.46  | | 
% 184.88/29.46  | | BETA: splitting (21) gives:
% 184.88/29.46  | | 
% 184.88/29.46  | | Case 1:
% 184.88/29.46  | | | 
% 184.88/29.46  | | |   (22)  all_56_5 = e2 & op(e2, e1) = e2
% 184.88/29.46  | | | 
% 184.88/29.46  | | | ALPHA: (22) implies:
% 184.88/29.46  | | |   (23)  all_56_5 = e2
% 184.88/29.46  | | | 
% 184.88/29.46  | | | REF_CLOSE: (1), (2), (3), (6), (7), (10), (13), (14), (15), (17), (23) are
% 184.88/29.46  | | |            inconsistent by sub-proof #932.
% 184.88/29.46  | | | 
% 184.88/29.46  | | Case 2:
% 184.88/29.46  | | | 
% 184.88/29.46  | | |   (24)  all_56_10 = e2 & op(e2, e0) = e2
% 184.88/29.46  | | | 
% 184.88/29.46  | | | ALPHA: (24) implies:
% 184.88/29.46  | | |   (25)  all_56_10 = e2
% 184.88/29.46  | | | 
% 184.88/29.46  | | | REF_CLOSE: (2), (3), (4), (6), (7), (10), (11), (12), (13), (14), (15),
% 184.88/29.46  | | |            (16), (17), (25) are inconsistent by sub-proof #320.
% 184.88/29.46  | | | 
% 184.88/29.46  | | End of split
% 184.88/29.46  | | 
% 184.88/29.46  | End of split
% 184.88/29.46  | 
% 184.88/29.46  End of proof
% 184.88/29.46  
% 184.88/29.46  Sub-proof #320 shows that the following formulas are inconsistent:
% 184.88/29.46  ----------------------------------------------------------------
% 184.88/29.46    (1)  all_56_10 = e2
% 184.88/29.46    (2)   ~ (e1 = e0)
% 184.88/29.46    (3)   ~ (e3 = e0)
% 184.88/29.46    (4)  all_56_2 = e0
% 184.88/29.46    (5)   ~ (e3 = e1)
% 184.88/29.46    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.46    (7)   ~ (e3 = e2)
% 184.88/29.46    (8)  all_56_14 = e3
% 184.88/29.46    (9)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.46         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.46    (10)  all_56_4 = e0
% 184.88/29.46    (11)  op(e1, e1) = e2
% 184.88/29.46    (12)   ~ (e2 = e1)
% 184.88/29.46    (13)  op(e2, e2) = e0
% 184.88/29.46    (14)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.46          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.46  
% 184.88/29.46  Begin of proof
% 184.88/29.46  | 
% 184.88/29.46  | BETA: splitting (9) gives:
% 184.88/29.46  | 
% 184.88/29.46  | Case 1:
% 184.88/29.46  | | 
% 184.88/29.46  | |   (15)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 184.88/29.46  | |           e3)
% 184.88/29.46  | | 
% 184.88/29.46  | | REF_CLOSE: (3), (4), (6), (13), (15) are inconsistent by sub-proof #605.
% 184.88/29.46  | | 
% 184.88/29.46  | Case 2:
% 184.88/29.46  | | 
% 184.88/29.46  | |   (16)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 184.88/29.46  | |           e3)
% 184.88/29.46  | | 
% 184.88/29.46  | | BETA: splitting (16) gives:
% 184.88/29.46  | | 
% 184.88/29.46  | | Case 1:
% 184.88/29.46  | | | 
% 184.88/29.46  | | |   (17)  all_56_5 = e3 & op(e2, e1) = e3
% 184.88/29.46  | | | 
% 184.88/29.46  | | | REF_CLOSE: (2), (5), (6), (8), (10), (11), (12), (14), (17) are
% 184.88/29.46  | | |            inconsistent by sub-proof #327.
% 184.88/29.46  | | | 
% 184.88/29.46  | | Case 2:
% 184.88/29.46  | | | 
% 184.88/29.46  | | |   (18)  all_56_10 = e3 & op(e2, e0) = e3
% 184.88/29.46  | | | 
% 184.88/29.46  | | | REF_CLOSE: (1), (7), (18) are inconsistent by sub-proof #1331.
% 184.88/29.46  | | | 
% 184.88/29.46  | | End of split
% 184.88/29.46  | | 
% 184.88/29.46  | End of split
% 184.88/29.46  | 
% 184.88/29.46  End of proof
% 184.88/29.46  
% 184.88/29.46  Sub-proof #321 shows that the following formulas are inconsistent:
% 184.88/29.46  ----------------------------------------------------------------
% 184.88/29.46    (1)  op(e0, e0) = all_6_2
% 184.88/29.46    (2)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.88/29.46    (3)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.88/29.46         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.88/29.46    (4)   ~ (all_6_2 = e1)
% 184.88/29.46    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.88/29.46         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.88/29.46    (6)   ~ (e1 = e0)
% 184.88/29.46    (7)   ~ (e3 = e0)
% 184.88/29.46    (8)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 184.88/29.46         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 184.88/29.46    (9)  op(e2, e1) = e1
% 184.88/29.46    (10)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.88/29.46          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.88/29.46    (11)   ~ (all_52_6 = e0)
% 184.88/29.46    (12)   ~ (e2 = e0)
% 184.88/29.46    (13)   ~ (e3 = e1)
% 184.88/29.46    (14)  all_56_15 = e0
% 184.88/29.46    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.46            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.46    (16)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.46          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.46    (17)  all_56_3 = e0
% 184.88/29.46    (18)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 184.88/29.46          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.88/29.46    (19)   ~ (e3 = e2)
% 184.88/29.46    (20)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 184.88/29.46          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.88/29.46    (21)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.46          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.46    (22)  all_56_4 = e0
% 184.88/29.46    (23)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.88/29.46          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.88/29.46    (24)  op(e1, e2) = all_52_6
% 184.88/29.46    (25)  op(e1, e1) = e2
% 184.88/29.46    (26)   ~ (e2 = e1)
% 184.88/29.46    (27)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.46          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.46  
% 184.88/29.46  Begin of proof
% 184.88/29.46  | 
% 184.88/29.46  | BETA: splitting (2) gives:
% 184.88/29.46  | 
% 184.88/29.46  | Case 1:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (28)  all_56_8 = e0 & op(e1, e1) = e0
% 184.88/29.47  | | 
% 184.88/29.47  | | ALPHA: (28) implies:
% 184.88/29.47  | |   (29)  op(e1, e1) = e0
% 184.88/29.47  | | 
% 184.88/29.47  | | REF_CLOSE: (12), (15), (25), (29) are inconsistent by sub-proof #1230.
% 184.88/29.47  | | 
% 184.88/29.47  | Case 2:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (30)  all_56_11 = e0 & op(e1, e0) = e0
% 184.88/29.47  | | 
% 184.88/29.47  | | ALPHA: (30) implies:
% 184.88/29.47  | |   (31)  all_56_11 = e0
% 184.88/29.47  | | 
% 184.88/29.47  | | BETA: splitting (8) gives:
% 184.88/29.47  | | 
% 184.88/29.47  | | Case 1:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (32)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 184.88/29.47  | | |           e1)
% 184.88/29.47  | | | 
% 184.88/29.47  | | | BETA: splitting (32) gives:
% 184.88/29.47  | | | 
% 184.88/29.47  | | | Case 1:
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | |   (33)  all_56_9 = e1 & op(e3, e0) = e1
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | | ALPHA: (33) implies:
% 184.88/29.47  | | | |   (34)  all_56_9 = e1
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | | REF_CLOSE: (3), (6), (7), (10), (11), (12), (13), (14), (15), (18),
% 184.88/29.47  | | | |            (19), (20), (23), (24), (25), (26), (31), (34) are
% 184.88/29.47  | | | |            inconsistent by sub-proof #323.
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | Case 2:
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | |   (35)  all_56_10 = e1 & op(e2, e0) = e1
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | | ALPHA: (35) implies:
% 184.88/29.47  | | | |   (36)  all_56_10 = e1
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | | REF_CLOSE: (5), (6), (7), (9), (12), (13), (15), (16), (17), (19), (21),
% 184.88/29.47  | | | |            (22), (25), (26), (27), (36) are inconsistent by sub-proof
% 184.88/29.47  | | | |            #322.
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | End of split
% 184.88/29.47  | | | 
% 184.88/29.47  | | Case 2:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (37)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0)
% 184.88/29.47  | | |           = e1)
% 184.88/29.47  | | | 
% 184.88/29.47  | | | BETA: splitting (37) gives:
% 184.88/29.47  | | | 
% 184.88/29.47  | | | Case 1:
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | |   (38)  all_56_11 = e1 & op(e1, e0) = e1
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | | REF_CLOSE: (6), (31), (38) are inconsistent by sub-proof #1166.
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | Case 2:
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | |   (39)  all_56_15 = e1 & op(e0, e0) = e1
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | | ALPHA: (39) implies:
% 184.88/29.47  | | | |   (40)  op(e0, e0) = e1
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | | REF_CLOSE: (1), (4), (15), (40) are inconsistent by sub-proof #1516.
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | End of split
% 184.88/29.47  | | | 
% 184.88/29.47  | | End of split
% 184.88/29.47  | | 
% 184.88/29.47  | End of split
% 184.88/29.47  | 
% 184.88/29.47  End of proof
% 184.88/29.47  
% 184.88/29.47  Sub-proof #322 shows that the following formulas are inconsistent:
% 184.88/29.47  ----------------------------------------------------------------
% 184.88/29.47    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.88/29.47         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.88/29.47    (2)   ~ (e1 = e0)
% 184.88/29.47    (3)   ~ (e3 = e0)
% 184.88/29.47    (4)  op(e2, e1) = e1
% 184.88/29.47    (5)   ~ (e2 = e0)
% 184.88/29.47    (6)   ~ (e3 = e1)
% 184.88/29.47    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.47    (8)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.47         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.47    (9)  all_56_3 = e0
% 184.88/29.47    (10)   ~ (e3 = e2)
% 184.88/29.47    (11)  all_56_10 = e1
% 184.88/29.47    (12)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.47          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.47    (13)  all_56_4 = e0
% 184.88/29.47    (14)  op(e1, e1) = e2
% 184.88/29.47    (15)   ~ (e2 = e1)
% 184.88/29.47    (16)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.47          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.47  
% 184.88/29.47  Begin of proof
% 184.88/29.47  | 
% 184.88/29.47  | BETA: splitting (8) gives:
% 184.88/29.47  | 
% 184.88/29.47  | Case 1:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (17)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 184.88/29.47  | |           e2)
% 184.88/29.47  | | 
% 184.88/29.47  | | REF_CLOSE: (3), (4), (5), (6), (7), (9), (10), (11), (12), (17) are
% 184.88/29.47  | |            inconsistent by sub-proof #331.
% 184.88/29.47  | | 
% 184.88/29.47  | Case 2:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (18)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 184.88/29.47  | |           e2)
% 184.88/29.47  | | 
% 184.88/29.47  | | BETA: splitting (18) gives:
% 184.88/29.47  | | 
% 184.88/29.47  | | Case 1:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (19)  all_56_5 = e2 & op(e2, e1) = e2
% 184.88/29.47  | | | 
% 184.88/29.47  | | | ALPHA: (19) implies:
% 184.88/29.47  | | |   (20)  all_56_5 = e2
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REF_CLOSE: (1), (2), (3), (6), (7), (10), (13), (14), (15), (16), (20) are
% 184.88/29.47  | | |            inconsistent by sub-proof #932.
% 184.88/29.47  | | | 
% 184.88/29.47  | | Case 2:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (21)  all_56_10 = e2 & op(e2, e0) = e2
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REF_CLOSE: (11), (15), (21) are inconsistent by sub-proof #1002.
% 184.88/29.47  | | | 
% 184.88/29.47  | | End of split
% 184.88/29.47  | | 
% 184.88/29.47  | End of split
% 184.88/29.47  | 
% 184.88/29.47  End of proof
% 184.88/29.47  
% 184.88/29.47  Sub-proof #323 shows that the following formulas are inconsistent:
% 184.88/29.47  ----------------------------------------------------------------
% 184.88/29.47    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.88/29.47         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.88/29.47    (2)   ~ (e1 = e0)
% 184.88/29.47    (3)   ~ (e3 = e0)
% 184.88/29.47    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.88/29.47         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.88/29.47    (5)   ~ (all_52_6 = e0)
% 184.88/29.47    (6)   ~ (e2 = e0)
% 184.88/29.47    (7)   ~ (e3 = e1)
% 184.88/29.47    (8)  all_56_15 = e0
% 184.88/29.47    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.47    (10)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 184.88/29.47          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.88/29.47    (11)   ~ (e3 = e2)
% 184.88/29.47    (12)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 184.88/29.47          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.88/29.47    (13)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.88/29.47          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.88/29.47    (14)  op(e1, e2) = all_52_6
% 184.88/29.47    (15)  all_56_11 = e0
% 184.88/29.47    (16)  all_56_9 = e1
% 184.88/29.47    (17)  op(e1, e1) = e2
% 184.88/29.47    (18)   ~ (e2 = e1)
% 184.88/29.47  
% 184.88/29.47  Begin of proof
% 184.88/29.47  | 
% 184.88/29.47  | BETA: splitting (12) gives:
% 184.88/29.47  | 
% 184.88/29.47  | Case 1:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (19)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 184.88/29.47  | |           e3)
% 184.88/29.47  | | 
% 184.88/29.47  | | BETA: splitting (19) gives:
% 184.88/29.47  | | 
% 184.88/29.47  | | Case 1:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (20)  all_56_9 = e3 & op(e3, e0) = e3
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REF_CLOSE: (7), (16), (20) are inconsistent by sub-proof #1380.
% 184.88/29.47  | | | 
% 184.88/29.47  | | Case 2:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (21)  all_56_10 = e3 & op(e2, e0) = e3
% 184.88/29.47  | | | 
% 184.88/29.47  | | | ALPHA: (21) implies:
% 184.88/29.47  | | |   (22)  all_56_10 = e3
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 184.88/29.47  | | |            (14), (16), (17), (18), (22) are inconsistent by sub-proof
% 184.88/29.47  | | |            #919.
% 184.88/29.47  | | | 
% 184.88/29.47  | | End of split
% 184.88/29.47  | | 
% 184.88/29.47  | Case 2:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (23)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 184.88/29.47  | |           e3)
% 184.88/29.47  | | 
% 184.88/29.47  | | BETA: splitting (23) gives:
% 184.88/29.47  | | 
% 184.88/29.47  | | Case 1:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (24)  all_56_11 = e3 & op(e1, e0) = e3
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REF_CLOSE: (3), (15), (24) are inconsistent by sub-proof #651.
% 184.88/29.47  | | | 
% 184.88/29.47  | | Case 2:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (25)  all_56_15 = e3 & op(e0, e0) = e3
% 184.88/29.47  | | | 
% 184.88/29.47  | | | ALPHA: (25) implies:
% 184.88/29.47  | | |   (26)  all_56_15 = e3
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REF_CLOSE: (3), (8), (26) are inconsistent by sub-proof #1208.
% 184.88/29.47  | | | 
% 184.88/29.47  | | End of split
% 184.88/29.47  | | 
% 184.88/29.47  | End of split
% 184.88/29.47  | 
% 184.88/29.47  End of proof
% 184.88/29.47  
% 184.88/29.47  Sub-proof #324 shows that the following formulas are inconsistent:
% 184.88/29.47  ----------------------------------------------------------------
% 184.88/29.47    (1)  all_56_6 = e0
% 184.88/29.47    (2)   ~ (e1 = e0)
% 184.88/29.47    (3)  all_56_2 = e2
% 184.88/29.47    (4)   ~ (e3 = e0)
% 184.88/29.47    (5)  all_56_0 = e0
% 184.88/29.47    (6)  op(e2, e1) = e1
% 184.88/29.47    (7)   ~ (e3 = e1)
% 184.88/29.47    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 184.88/29.47         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 184.88/29.47    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.47    (10)  all_56_3 = e0
% 184.88/29.47    (11)   ~ (e3 = e2)
% 184.88/29.47    (12)  all_56_12 = e1
% 184.88/29.47    (13)  all_56_14 = e3
% 184.88/29.47    (14)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.47          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.47    (15)  all_56_4 = e0
% 184.88/29.47    (16)  op(e1, e1) = e2
% 184.88/29.47    (17)   ~ (e2 = e1)
% 184.88/29.47    (18)  op(e2, e2) = e0
% 184.88/29.47    (19)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.47          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.47  
% 184.88/29.47  Begin of proof
% 184.88/29.47  | 
% 184.88/29.47  | BETA: splitting (14) gives:
% 184.88/29.47  | 
% 184.88/29.47  | Case 1:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (20)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 184.88/29.47  | |           e3)
% 184.88/29.47  | | 
% 184.88/29.47  | | REF_CLOSE: (3), (4), (9), (11), (18), (20) are inconsistent by sub-proof
% 184.88/29.47  | |            #384.
% 184.88/29.47  | | 
% 184.88/29.47  | Case 2:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (21)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 184.88/29.47  | |           e3)
% 184.88/29.47  | | 
% 184.88/29.47  | | BETA: splitting (21) gives:
% 184.88/29.47  | | 
% 184.88/29.47  | | Case 1:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (22)  all_56_5 = e3 & op(e2, e1) = e3
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REF_CLOSE: (2), (7), (9), (13), (15), (16), (17), (19), (22) are
% 184.88/29.47  | | |            inconsistent by sub-proof #327.
% 184.88/29.47  | | | 
% 184.88/29.47  | | Case 2:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (23)  all_56_10 = e3 & op(e2, e0) = e3
% 184.88/29.47  | | | 
% 184.88/29.47  | | | ALPHA: (23) implies:
% 184.88/29.47  | | |   (24)  all_56_10 = e3
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (14),
% 184.88/29.47  | | |            (24) are inconsistent by sub-proof #374.
% 184.88/29.47  | | | 
% 184.88/29.47  | | End of split
% 184.88/29.47  | | 
% 184.88/29.47  | End of split
% 184.88/29.47  | 
% 184.88/29.47  End of proof
% 184.88/29.47  
% 184.88/29.47  Sub-proof #325 shows that the following formulas are inconsistent:
% 184.88/29.47  ----------------------------------------------------------------
% 184.88/29.47    (1)  all_56_0 = e2 & op(e3, e3) = e2
% 184.88/29.47    (2)  all_56_0 = e0
% 184.88/29.47    (3)   ~ (e2 = e0)
% 184.88/29.47  
% 184.88/29.47  Begin of proof
% 184.88/29.47  | 
% 184.88/29.47  | ALPHA: (1) implies:
% 184.88/29.47  |   (4)  all_56_0 = e2
% 184.88/29.47  | 
% 184.88/29.47  | COMBINE_EQS: (2), (4) imply:
% 184.88/29.47  |   (5)  e2 = e0
% 184.88/29.47  | 
% 184.88/29.47  | SIMP: (5) implies:
% 184.88/29.47  |   (6)  e2 = e0
% 184.88/29.47  | 
% 184.88/29.47  | REDUCE: (3), (6) imply:
% 184.88/29.47  |   (7)  $false
% 184.88/29.47  | 
% 184.88/29.47  | CLOSE: (7) is inconsistent.
% 184.88/29.47  | 
% 184.88/29.47  End of proof
% 184.88/29.47  
% 184.88/29.47  Sub-proof #326 shows that the following formulas are inconsistent:
% 184.88/29.47  ----------------------------------------------------------------
% 184.88/29.47    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.88/29.47         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.88/29.47    (2)   ~ (e1 = e0)
% 184.88/29.47    (3)   ~ (e3 = e0)
% 184.88/29.47    (4)   ~ (e2 = e0)
% 184.88/29.47    (5)   ~ (e3 = e1)
% 184.88/29.47    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.47    (7)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.47         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.47    (8)  all_56_3 = e0
% 184.88/29.47    (9)   ~ (e3 = e2)
% 184.88/29.47    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 184.88/29.47    (11)  all_56_14 = e3
% 184.88/29.47    (12)  op(e3, e3) = all_4_2
% 184.88/29.47    (13)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.47          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.47    (14)  all_56_4 = e0
% 184.88/29.47    (15)  op(e1, e1) = e2
% 184.88/29.47    (16)   ~ (e2 = e1)
% 184.88/29.47    (17)  op(e2, e2) = e0
% 184.88/29.47    (18)   ~ (all_4_2 = e1)
% 184.88/29.47    (19)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.47          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.47  
% 184.88/29.47  Begin of proof
% 184.88/29.47  | 
% 184.88/29.47  | BETA: splitting (10) gives:
% 184.88/29.47  | 
% 184.88/29.47  | Case 1:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (20)  all_56_0 = e1 & op(e3, e3) = e1
% 184.88/29.47  | | 
% 184.88/29.47  | | ALPHA: (20) implies:
% 184.88/29.47  | |   (21)  op(e3, e3) = e1
% 184.88/29.47  | | 
% 184.88/29.47  | | REF_CLOSE: (6), (12), (18), (21) are inconsistent by sub-proof #1525.
% 184.88/29.47  | | 
% 184.88/29.47  | Case 2:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (22)  all_56_2 = e1 & op(e2, e3) = e1
% 184.88/29.47  | | 
% 184.88/29.47  | | ALPHA: (22) implies:
% 184.88/29.47  | |   (23)  all_56_2 = e1
% 184.88/29.47  | | 
% 184.88/29.47  | | BETA: splitting (13) gives:
% 184.88/29.47  | | 
% 184.88/29.47  | | Case 1:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (24)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 184.88/29.47  | | |           e3)
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REF_CLOSE: (3), (5), (6), (17), (23), (24) are inconsistent by sub-proof
% 184.88/29.47  | | |            #486.
% 184.88/29.47  | | | 
% 184.88/29.47  | | Case 2:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (25)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 184.88/29.47  | | |           e3)
% 184.88/29.47  | | | 
% 184.88/29.47  | | | BETA: splitting (25) gives:
% 184.88/29.47  | | | 
% 184.88/29.47  | | | Case 1:
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | |   (26)  all_56_5 = e3 & op(e2, e1) = e3
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | | REF_CLOSE: (2), (5), (6), (11), (14), (15), (16), (19), (26) are
% 184.88/29.47  | | | |            inconsistent by sub-proof #327.
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | Case 2:
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | |   (27)  all_56_10 = e3 & op(e2, e0) = e3
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | | ALPHA: (27) implies:
% 184.88/29.47  | | | |   (28)  all_56_10 = e3
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (14), (15),
% 184.88/29.47  | | | |            (16), (19), (23), (28) are inconsistent by sub-proof #931.
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | End of split
% 184.88/29.47  | | | 
% 184.88/29.47  | | End of split
% 184.88/29.47  | | 
% 184.88/29.47  | End of split
% 184.88/29.47  | 
% 184.88/29.47  End of proof
% 184.88/29.47  
% 184.88/29.47  Sub-proof #327 shows that the following formulas are inconsistent:
% 184.88/29.47  ----------------------------------------------------------------
% 184.88/29.47    (1)   ~ (e1 = e0)
% 184.88/29.47    (2)  all_56_5 = e3 & op(e2, e1) = e3
% 184.88/29.47    (3)   ~ (e3 = e1)
% 184.88/29.47    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.47    (5)  all_56_14 = e3
% 184.88/29.47    (6)  all_56_4 = e0
% 184.88/29.47    (7)  op(e1, e1) = e2
% 184.88/29.47    (8)   ~ (e2 = e1)
% 184.88/29.47    (9)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.47         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.47  
% 184.88/29.47  Begin of proof
% 184.88/29.47  | 
% 184.88/29.47  | ALPHA: (2) implies:
% 184.88/29.47  |   (10)  all_56_5 = e3
% 184.88/29.47  | 
% 184.88/29.47  | BETA: splitting (9) gives:
% 184.88/29.47  | 
% 184.88/29.47  | Case 1:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (11)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 184.88/29.47  | |           e1)
% 184.88/29.47  | | 
% 184.88/29.47  | | BETA: splitting (11) gives:
% 184.88/29.47  | | 
% 184.88/29.47  | | Case 1:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (12)  all_56_4 = e1 & op(e3, e1) = e1
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REF_CLOSE: (1), (6), (12) are inconsistent by sub-proof #935.
% 184.88/29.47  | | | 
% 184.88/29.47  | | Case 2:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (13)  all_56_5 = e1 & op(e2, e1) = e1
% 184.88/29.47  | | | 
% 184.88/29.47  | | | ALPHA: (13) implies:
% 184.88/29.47  | | |   (14)  all_56_5 = e1
% 184.88/29.47  | | | 
% 184.88/29.47  | | | COMBINE_EQS: (10), (14) imply:
% 184.88/29.47  | | |   (15)  e3 = e1
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REDUCE: (3), (15) imply:
% 184.88/29.47  | | |   (16)  $false
% 184.88/29.47  | | | 
% 184.88/29.47  | | | CLOSE: (16) is inconsistent.
% 184.88/29.47  | | | 
% 184.88/29.47  | | End of split
% 184.88/29.47  | | 
% 184.88/29.47  | Case 2:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (17)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 184.88/29.47  | |           e1)
% 184.88/29.47  | | 
% 184.88/29.47  | | REF_CLOSE: (3), (4), (5), (7), (8), (17) are inconsistent by sub-proof #934.
% 184.88/29.47  | | 
% 184.88/29.47  | End of split
% 184.88/29.47  | 
% 184.88/29.47  End of proof
% 184.88/29.47  
% 184.88/29.47  Sub-proof #328 shows that the following formulas are inconsistent:
% 184.88/29.47  ----------------------------------------------------------------
% 184.88/29.47    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.88/29.47    (2)  op(e0, e3) = e1
% 184.88/29.47    (3)   ~ (e3 = e1)
% 184.88/29.47    (4)  op(e0, e3) = all_52_3
% 184.88/29.47    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.47    (6)   ~ (e3 = e2)
% 184.88/29.47    (7)  all_56_13 = e2
% 184.88/29.47  
% 184.88/29.47  Begin of proof
% 184.88/29.47  | 
% 184.88/29.47  | BETA: splitting (1) gives:
% 184.88/29.47  | 
% 184.88/29.47  | Case 1:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (8)  all_56_12 = e3 & op(e0, e3) = e3
% 184.88/29.47  | | 
% 184.88/29.47  | | ALPHA: (8) implies:
% 184.88/29.47  | |   (9)  op(e0, e3) = e3
% 184.88/29.47  | | 
% 184.88/29.47  | | REF_CLOSE: (2), (3), (4), (5), (9) are inconsistent by sub-proof #1529.
% 184.88/29.47  | | 
% 184.88/29.47  | Case 2:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (10)  all_56_13 = e3 & op(e0, e2) = e3
% 184.88/29.47  | | 
% 184.88/29.47  | | ALPHA: (10) implies:
% 184.88/29.47  | |   (11)  all_56_13 = e3
% 184.88/29.47  | | 
% 184.88/29.47  | | REF_CLOSE: (6), (7), (11) are inconsistent by sub-proof #1121.
% 184.88/29.47  | | 
% 184.88/29.47  | End of split
% 184.88/29.47  | 
% 184.88/29.47  End of proof
% 184.88/29.47  
% 184.88/29.47  Sub-proof #329 shows that the following formulas are inconsistent:
% 184.88/29.47  ----------------------------------------------------------------
% 184.88/29.47    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.88/29.47         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.88/29.47    (2)   ~ (e1 = e0)
% 184.88/29.47    (3)   ~ (all_52_9 = e0)
% 184.88/29.47    (4)   ~ (e3 = e0)
% 184.88/29.47    (5)  op(e2, e1) = e1
% 184.88/29.47    (6)  op(e2, e1) = all_52_9
% 184.88/29.47    (7)   ~ (e2 = e0)
% 184.88/29.47    (8)   ~ (e3 = e1)
% 184.88/29.47    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.47    (10)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.88/29.47          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.88/29.47    (11)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.47          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.47    (12)  all_56_3 = e0
% 184.88/29.47    (13)   ~ (e3 = e2)
% 184.88/29.47    (14)  all_56_10 = e1
% 184.88/29.47    (15)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.47          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.47    (16)  op(e1, e1) = e2
% 184.88/29.47    (17)   ~ (e2 = e1)
% 184.88/29.47    (18)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.47          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.47  
% 184.88/29.47  Begin of proof
% 184.88/29.47  | 
% 184.88/29.47  | BETA: splitting (11) gives:
% 184.88/29.47  | 
% 184.88/29.47  | Case 1:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (19)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 184.88/29.47  | |           e2)
% 184.88/29.47  | | 
% 184.88/29.47  | | REF_CLOSE: (4), (5), (7), (8), (9), (12), (13), (14), (15), (19) are
% 184.88/29.47  | |            inconsistent by sub-proof #331.
% 184.88/29.47  | | 
% 184.88/29.47  | Case 2:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (20)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 184.88/29.47  | |           e2)
% 184.88/29.47  | | 
% 184.88/29.47  | | BETA: splitting (20) gives:
% 184.88/29.47  | | 
% 184.88/29.47  | | Case 1:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (21)  all_56_5 = e2 & op(e2, e1) = e2
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (13), (16),
% 184.88/29.47  | | |            (17), (18), (21) are inconsistent by sub-proof #330.
% 184.88/29.47  | | | 
% 184.88/29.47  | | Case 2:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (22)  all_56_10 = e2 & op(e2, e0) = e2
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REF_CLOSE: (14), (17), (22) are inconsistent by sub-proof #1002.
% 184.88/29.47  | | | 
% 184.88/29.47  | | End of split
% 184.88/29.47  | | 
% 184.88/29.47  | End of split
% 184.88/29.47  | 
% 184.88/29.47  End of proof
% 184.88/29.47  
% 184.88/29.47  Sub-proof #330 shows that the following formulas are inconsistent:
% 184.88/29.47  ----------------------------------------------------------------
% 184.88/29.47    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.88/29.47         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.88/29.47    (2)   ~ (e1 = e0)
% 184.88/29.47    (3)   ~ (all_52_9 = e0)
% 184.88/29.47    (4)   ~ (e3 = e0)
% 184.88/29.47    (5)  op(e2, e1) = e1
% 184.88/29.47    (6)  op(e2, e1) = all_52_9
% 184.88/29.47    (7)   ~ (e2 = e0)
% 184.88/29.47    (8)   ~ (e3 = e1)
% 184.88/29.47    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.47    (10)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.88/29.47          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.88/29.47    (11)   ~ (e3 = e2)
% 184.88/29.47    (12)  all_56_5 = e2 & op(e2, e1) = e2
% 184.88/29.47    (13)  op(e1, e1) = e2
% 184.88/29.47    (14)   ~ (e2 = e1)
% 184.88/29.47    (15)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.47          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.47  
% 184.88/29.47  Begin of proof
% 184.88/29.47  | 
% 184.88/29.47  | ALPHA: (12) implies:
% 184.88/29.47  |   (16)  all_56_5 = e2
% 184.88/29.47  | 
% 184.88/29.47  | BETA: splitting (15) gives:
% 184.88/29.47  | 
% 184.88/29.47  | Case 1:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (17)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 184.88/29.47  | |           e1)
% 184.88/29.47  | | 
% 184.88/29.47  | | BETA: splitting (17) gives:
% 184.88/29.47  | | 
% 184.88/29.47  | | Case 1:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (18)  all_56_4 = e1 & op(e3, e1) = e1
% 184.88/29.47  | | | 
% 184.88/29.47  | | | ALPHA: (18) implies:
% 184.88/29.47  | | |   (19)  all_56_4 = e1
% 184.88/29.47  | | | 
% 184.88/29.47  | | | BETA: splitting (10) gives:
% 184.88/29.47  | | | 
% 184.88/29.47  | | | Case 1:
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | |   (20)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1)
% 184.88/29.47  | | | |           = e0)
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (11), (13), (14), (15),
% 184.88/29.47  | | | |            (16), (20) are inconsistent by sub-proof #914.
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | Case 2:
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | |   (21)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1)
% 184.88/29.47  | | | |           = e0)
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | | BETA: splitting (21) gives:
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | | Case 1:
% 184.88/29.47  | | | | | 
% 184.88/29.47  | | | | |   (22)  all_56_8 = e0 & op(e1, e1) = e0
% 184.88/29.47  | | | | | 
% 184.88/29.47  | | | | | ALPHA: (22) implies:
% 184.88/29.47  | | | | |   (23)  op(e1, e1) = e0
% 184.88/29.47  | | | | | 
% 184.88/29.47  | | | | | REF_CLOSE: (7), (9), (13), (23) are inconsistent by sub-proof #1230.
% 184.88/29.47  | | | | | 
% 184.88/29.47  | | | | Case 2:
% 184.88/29.47  | | | | | 
% 184.88/29.47  | | | | |   (24)  all_56_14 = e0 & op(e0, e1) = e0
% 184.88/29.47  | | | | | 
% 184.88/29.47  | | | | | ALPHA: (24) implies:
% 184.88/29.47  | | | | |   (25)  all_56_14 = e0
% 184.88/29.47  | | | | | 
% 184.88/29.47  | | | | | REF_CLOSE: (1), (4), (5), (8), (9), (11), (13), (19), (25) are
% 184.88/29.47  | | | | |            inconsistent by sub-proof #369.
% 184.88/29.47  | | | | | 
% 184.88/29.47  | | | | End of split
% 184.88/29.47  | | | | 
% 184.88/29.47  | | | End of split
% 184.88/29.47  | | | 
% 184.88/29.47  | | Case 2:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (26)  all_56_5 = e1 & op(e2, e1) = e1
% 184.88/29.47  | | | 
% 184.88/29.47  | | | ALPHA: (26) implies:
% 184.88/29.47  | | |   (27)  all_56_5 = e1
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REF_CLOSE: (14), (16), (27) are inconsistent by sub-proof #391.
% 184.88/29.47  | | | 
% 184.88/29.47  | | End of split
% 184.88/29.47  | | 
% 184.88/29.47  | Case 2:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (28)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 184.88/29.47  | |           e1)
% 184.88/29.47  | | 
% 184.88/29.47  | | BETA: splitting (28) gives:
% 184.88/29.47  | | 
% 184.88/29.47  | | Case 1:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (29)  all_56_8 = e1 & op(e1, e1) = e1
% 184.88/29.47  | | | 
% 184.88/29.47  | | | ALPHA: (29) implies:
% 184.88/29.47  | | |   (30)  op(e1, e1) = e1
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REF_CLOSE: (9), (13), (14), (30) are inconsistent by sub-proof #1473.
% 184.88/29.47  | | | 
% 184.88/29.47  | | Case 2:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (31)  all_56_14 = e1 & op(e0, e1) = e1
% 184.88/29.47  | | | 
% 184.88/29.47  | | | ALPHA: (31) implies:
% 184.88/29.47  | | |   (32)  all_56_14 = e1
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (13), (14),
% 184.88/29.47  | | |            (15), (16), (32) are inconsistent by sub-proof #912.
% 184.88/29.47  | | | 
% 184.88/29.47  | | End of split
% 184.88/29.47  | | 
% 184.88/29.47  | End of split
% 184.88/29.47  | 
% 184.88/29.47  End of proof
% 184.88/29.47  
% 184.88/29.47  Sub-proof #331 shows that the following formulas are inconsistent:
% 184.88/29.47  ----------------------------------------------------------------
% 184.88/29.47    (1)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 184.88/29.47    (2)   ~ (e3 = e0)
% 184.88/29.47    (3)  op(e2, e1) = e1
% 184.88/29.47    (4)   ~ (e2 = e0)
% 184.88/29.47    (5)   ~ (e3 = e1)
% 184.88/29.47    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.47    (7)  all_56_3 = e0
% 184.88/29.47    (8)   ~ (e3 = e2)
% 184.88/29.47    (9)  all_56_10 = e1
% 184.88/29.47    (10)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.47          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.47  
% 184.88/29.47  Begin of proof
% 184.88/29.47  | 
% 184.88/29.47  | BETA: splitting (1) gives:
% 184.88/29.47  | 
% 184.88/29.47  | Case 1:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (11)  all_56_2 = e2 & op(e2, e3) = e2
% 184.88/29.47  | | 
% 184.88/29.47  | | ALPHA: (11) implies:
% 184.88/29.47  | |   (12)  all_56_2 = e2
% 184.88/29.47  | | 
% 184.88/29.47  | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (12) are inconsistent by
% 184.88/29.47  | |            sub-proof #787.
% 184.88/29.47  | | 
% 184.88/29.47  | Case 2:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (13)  all_56_3 = e2 & op(e2, e2) = e2
% 184.88/29.47  | | 
% 184.88/29.47  | | REF_CLOSE: (4), (7), (13) are inconsistent by sub-proof #939.
% 184.88/29.47  | | 
% 184.88/29.47  | End of split
% 184.88/29.47  | 
% 184.88/29.47  End of proof
% 184.88/29.47  
% 184.88/29.47  Sub-proof #332 shows that the following formulas are inconsistent:
% 184.88/29.47  ----------------------------------------------------------------
% 184.88/29.47    (1)   ~ (all_14_0 = e0) & op(e2, e2) = all_14_0 & $i(all_14_0)
% 184.88/29.47    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.47    (3)  op(e2, e2) = e0
% 184.88/29.47  
% 184.88/29.47  Begin of proof
% 184.88/29.47  | 
% 184.88/29.47  | ALPHA: (1) implies:
% 184.88/29.47  |   (4)   ~ (all_14_0 = e0)
% 184.88/29.47  |   (5)  op(e2, e2) = all_14_0
% 184.88/29.47  | 
% 184.88/29.47  | GROUND_INST: instantiating (2) with e0, all_14_0, e2, e2, simplifying with
% 184.88/29.47  |              (3), (5) gives:
% 184.88/29.47  |   (6)  all_14_0 = e0
% 184.88/29.47  | 
% 184.88/29.47  | REDUCE: (4), (6) imply:
% 184.88/29.47  |   (7)  $false
% 184.88/29.47  | 
% 184.88/29.47  | CLOSE: (7) is inconsistent.
% 184.88/29.47  | 
% 184.88/29.47  End of proof
% 184.88/29.47  
% 184.88/29.47  Sub-proof #333 shows that the following formulas are inconsistent:
% 184.88/29.47  ----------------------------------------------------------------
% 184.88/29.47    (1)  op(e1, e1) = e3
% 184.88/29.47    (2)   ~ (e1 = e0)
% 184.88/29.47    (3)   ~ (all_52_9 = e0)
% 184.88/29.47    (4)   ~ (e3 = e0)
% 184.88/29.47    (5)  op(e2, e1) = all_52_9
% 184.88/29.47    (6)   ~ (e2 = e0)
% 184.88/29.47    (7)   ~ (e3 = e1)
% 184.88/29.47    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.47           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.47    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.88/29.47         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.88/29.47    (10)   ~ (e3 = e2)
% 184.88/29.47    (11)  all_56_14 = e3
% 184.88/29.47    (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 184.88/29.47          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.88/29.47    (13)   ~ (e2 = e1)
% 184.88/29.47    (14)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.47          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.47  
% 184.88/29.47  Begin of proof
% 184.88/29.47  | 
% 184.88/29.47  | BETA: splitting (9) gives:
% 184.88/29.47  | 
% 184.88/29.47  | Case 1:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (15)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 184.88/29.47  | |           e0)
% 184.88/29.47  | | 
% 184.88/29.47  | | BETA: splitting (15) gives:
% 184.88/29.47  | | 
% 184.88/29.47  | | Case 1:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (16)  all_56_4 = e0 & op(e3, e1) = e0
% 184.88/29.47  | | | 
% 184.88/29.47  | | | ALPHA: (16) implies:
% 184.88/29.47  | | |   (17)  all_56_4 = e0
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REF_CLOSE: (1), (2), (6), (7), (8), (10), (11), (12), (13), (14), (17) are
% 184.88/29.47  | | |            inconsistent by sub-proof #813.
% 184.88/29.47  | | | 
% 184.88/29.47  | | Case 2:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (18)  all_56_5 = e0 & op(e2, e1) = e0
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REF_CLOSE: (3), (5), (8), (18) are inconsistent by sub-proof #1476.
% 184.88/29.47  | | | 
% 184.88/29.47  | | End of split
% 184.88/29.47  | | 
% 184.88/29.47  | Case 2:
% 184.88/29.47  | | 
% 184.88/29.47  | |   (19)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 184.88/29.47  | |           e0)
% 184.88/29.47  | | 
% 184.88/29.47  | | BETA: splitting (19) gives:
% 184.88/29.47  | | 
% 184.88/29.47  | | Case 1:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (20)  all_56_8 = e0 & op(e1, e1) = e0
% 184.88/29.47  | | | 
% 184.88/29.47  | | | ALPHA: (20) implies:
% 184.88/29.47  | | |   (21)  op(e1, e1) = e0
% 184.88/29.47  | | | 
% 184.88/29.47  | | | GROUND_INST: instantiating (8) with e0, e3, e1, e1, simplifying with (1),
% 184.88/29.47  | | |              (21) gives:
% 184.88/29.47  | | |   (22)  e3 = e0
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REDUCE: (4), (22) imply:
% 184.88/29.47  | | |   (23)  $false
% 184.88/29.47  | | | 
% 184.88/29.47  | | | CLOSE: (23) is inconsistent.
% 184.88/29.47  | | | 
% 184.88/29.47  | | Case 2:
% 184.88/29.47  | | | 
% 184.88/29.47  | | |   (24)  all_56_14 = e0 & op(e0, e1) = e0
% 184.88/29.47  | | | 
% 184.88/29.47  | | | REF_CLOSE: (4), (11), (24) are inconsistent by sub-proof #1371.
% 184.88/29.47  | | | 
% 184.88/29.47  | | End of split
% 184.88/29.47  | | 
% 184.88/29.47  | End of split
% 184.88/29.47  | 
% 184.88/29.47  End of proof
% 184.88/29.47  
% 184.88/29.47  Sub-proof #334 shows that the following formulas are inconsistent:
% 184.88/29.47  ----------------------------------------------------------------
% 184.88/29.47    (1)  all_54_6 = all_52_9
% 184.88/29.47    (2)   ~ (all_52_8 = all_52_11)
% 184.88/29.47    (3)  op(e0, e0) = all_6_2
% 184.88/29.48    (4)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.88/29.48         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.88/29.48    (5)   ~ (all_52_8 = e3)
% 184.88/29.48    (6)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.48         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.88/29.48    (7)   ~ (all_6_2 = e1)
% 184.88/29.48    (8)  op(e1, e1) = e3
% 184.88/29.48    (9)   ~ (e1 = e0)
% 184.88/29.48    (10)  all_57_17 = all_52_8
% 184.88/29.48    (11)   ~ (all_52_9 = e0)
% 184.88/29.48    (12)  all_54_0 = all_4_2
% 184.88/29.48    (13)   ~ (e3 = e0)
% 184.88/29.48    (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 184.88/29.48          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.88/29.48    (15)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.88/29.48          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.88/29.48    (16)  op(e2, e1) = all_52_9
% 184.88/29.48    (17)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.88/29.48          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.88/29.48    (18)   ~ (all_52_11 = all_6_2)
% 184.88/29.48    (19)   ~ (all_52_6 = e0)
% 184.88/29.48    (20)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 184.88/29.48          | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 184.88/29.48            e2) | ( ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 & $i(all_57_23))
% 184.88/29.48    (21)   ~ (e2 = e0)
% 184.88/29.48    (22)   ~ (all_52_8 = all_4_2)
% 184.88/29.48    (23)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.48          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.88/29.48    (24)   ~ (e3 = e1)
% 184.88/29.48    (25)   ~ (all_52_4 = all_52_7)
% 184.88/29.48    (26)   ~ (all_24_2 = e3) | ( ~ (all_24_0 = e2) & op(e3, e3) = all_24_0 &
% 184.88/29.48            $i(all_24_0)) | ( ~ (all_24_1 = e0) & op(e3, e1) = all_24_1 &
% 184.88/29.48            $i(all_24_1))
% 184.88/29.48    (27)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 184.88/29.48    (28)   ~ (all_52_7 = e0)
% 184.88/29.48    (29)  op(e0, e3) = all_52_3
% 184.88/29.48    (30)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 184.88/29.48    (31)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.48            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.48    (32)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.88/29.48          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.88/29.48    (33)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 184.88/29.48    (34)  all_24_2 = e3
% 184.88/29.48    (35)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 184.88/29.48          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 184.88/29.48    (36)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 184.88/29.48              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 184.88/29.48            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.88/29.48              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.88/29.48            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 184.88/29.48            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.88/29.48            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 184.88/29.48            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.88/29.48            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 184.88/29.48            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.88/29.48              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 184.88/29.48              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.88/29.48            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.88/29.48          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 184.88/29.48              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 184.88/29.48            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.88/29.48              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.88/29.48            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 184.88/29.48            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.88/29.48            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 184.88/29.48            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.88/29.48            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.88/29.48              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.88/29.48              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 184.88/29.48            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 184.88/29.48            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.88/29.48            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 184.88/29.48            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 184.88/29.48            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 184.88/29.48            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 184.88/29.48            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.88/29.48            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 184.88/29.48            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 184.88/29.48            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 184.88/29.48              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 184.88/29.48            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 184.88/29.48            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 184.88/29.48              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 184.88/29.48            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 184.88/29.48            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 184.88/29.48            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 184.88/29.48            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.88/29.48            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 184.88/29.48              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 184.88/29.48              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 184.88/29.48            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 184.88/29.48            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 184.88/29.48              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 184.88/29.48            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 184.88/29.48            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.88/29.48            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 184.88/29.48            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.88/29.48            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 184.88/29.48                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 184.88/29.48                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 184.88/29.48                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.88/29.48                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 184.88/29.48                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.88/29.48                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.88/29.48                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.88/29.48                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.88/29.48                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.88/29.48                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.88/29.48                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 184.88/29.48                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.88/29.48                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.88/29.48                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.88/29.48                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 184.88/29.48                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 184.88/29.48    (37)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.48          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.48    (38)  all_56_3 = e0
% 184.88/29.48    (39)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 184.88/29.48          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 184.88/29.48    (40)   ~ (all_52_9 = all_52_11)
% 184.88/29.48    (41)   ~ (all_52_9 = e2)
% 184.88/29.48    (42)   ~ (all_52_8 = all_52_9)
% 184.88/29.48    (43)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 184.88/29.48          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 184.88/29.48    (44)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.88/29.48          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.88/29.48            e1)
% 184.88/29.48    (45)  op(e2, e0) = all_52_13
% 184.88/29.48    (46)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 184.88/29.48          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.88/29.48    (47)   ~ (e3 = e2)
% 184.88/29.48    (48)  all_57_20 = all_52_9
% 184.88/29.48    (49)  all_54_2 = all_52_8
% 184.88/29.48    (50)  op(e3, e1) = all_52_8
% 184.88/29.48    (51)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 184.88/29.48          | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 184.88/29.48            e2) | ( ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 & $i(all_57_16))
% 184.88/29.48    (52)  op(e3, e3) = all_4_2
% 184.88/29.48    (53)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 184.88/29.48          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.88/29.48    (54)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.48          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.48    (55)  op(e3, e2) = all_52_4
% 184.88/29.48    (56)  all_56_4 = e0
% 184.88/29.48    (57)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.88/29.48          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 184.88/29.48            e3)
% 184.88/29.48    (58)   ~ (all_52_9 = e3)
% 184.88/29.48    (59)  op(e1, e2) = all_52_6
% 184.88/29.48    (60)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 184.88/29.48    (61)  all_56_8 = e3
% 184.88/29.48    (62)   ~ (all_52_13 = e0)
% 184.88/29.48    (63)  all_57_27 = all_52_11
% 184.88/29.48    (64)   ~ (e2 = e1)
% 184.88/29.48    (65)   ~ (all_52_11 = e0)
% 184.88/29.48    (66)  op(e0, e2) = all_52_7
% 184.88/29.48    (67)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.88/29.48              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.88/29.48                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.88/29.48                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.88/29.48    (68)  all_54_14 = all_52_11
% 184.88/29.48    (69)  op(e2, e2) = e0
% 184.88/29.48    (70)   ~ (all_52_11 = e3)
% 184.88/29.48    (71)   ~ (all_4_2 = e1)
% 184.88/29.48    (72)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.88/29.48          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.88/29.48    (73)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.48          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.48  
% 184.88/29.48  Begin of proof
% 184.88/29.48  | 
% 184.88/29.48  | BETA: splitting (33) gives:
% 184.88/29.48  | 
% 184.88/29.48  | Case 1:
% 184.88/29.48  | | 
% 184.88/29.48  | |   (74)  all_54_6 = e3
% 184.88/29.48  | | 
% 184.88/29.48  | | COMBINE_EQS: (1), (74) imply:
% 184.88/29.48  | |   (75)  all_52_9 = e3
% 184.88/29.48  | | 
% 184.88/29.48  | | REDUCE: (58), (75) imply:
% 184.88/29.48  | |   (76)  $false
% 184.88/29.48  | | 
% 184.88/29.48  | | CLOSE: (76) is inconsistent.
% 184.88/29.48  | | 
% 184.88/29.48  | Case 2:
% 184.88/29.48  | | 
% 184.88/29.48  | |   (77)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 184.88/29.48  | | 
% 184.88/29.48  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 184.88/29.48  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 184.88/29.48  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (34), (35),
% 184.88/29.48  | |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 184.88/29.48  | |            (47), (48), (49), (50), (51), (52), (53), (54), (55), (56), (57),
% 184.88/29.48  | |            (59), (60), (61), (62), (63), (64), (65), (66), (67), (68), (69),
% 184.88/29.48  | |            (70), (71), (72), (73), (77) are inconsistent by sub-proof #335.
% 184.88/29.48  | | 
% 184.88/29.48  | End of split
% 184.88/29.48  | 
% 184.88/29.48  End of proof
% 184.88/29.48  
% 184.88/29.48  Sub-proof #335 shows that the following formulas are inconsistent:
% 184.88/29.48  ----------------------------------------------------------------
% 184.88/29.48    (1)  all_54_6 = all_52_9
% 184.88/29.48    (2)   ~ (all_52_8 = all_52_11)
% 184.88/29.48    (3)  op(e0, e0) = all_6_2
% 184.88/29.48    (4)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.88/29.48         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.88/29.48    (5)   ~ (all_52_8 = e3)
% 184.88/29.48    (6)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.48         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.88/29.48    (7)   ~ (all_6_2 = e1)
% 184.88/29.48    (8)  op(e1, e1) = e3
% 184.88/29.48    (9)   ~ (e1 = e0)
% 184.88/29.48    (10)  all_57_17 = all_52_8
% 184.88/29.48    (11)   ~ (all_52_9 = e0)
% 184.88/29.48    (12)  all_54_0 = all_4_2
% 184.88/29.48    (13)   ~ (e3 = e0)
% 184.88/29.48    (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 184.88/29.48          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.88/29.48    (15)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.88/29.48          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.88/29.48    (16)  op(e2, e1) = all_52_9
% 184.88/29.48    (17)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.88/29.48          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.88/29.48    (18)   ~ (all_52_11 = all_6_2)
% 184.88/29.48    (19)   ~ (all_52_6 = e0)
% 184.88/29.48    (20)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 184.88/29.48          | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 184.88/29.48            e2) | ( ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 & $i(all_57_23))
% 184.88/29.48    (21)   ~ (e2 = e0)
% 184.88/29.48    (22)   ~ (all_52_8 = all_4_2)
% 184.88/29.48    (23)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.48          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.88/29.48    (24)   ~ (e3 = e1)
% 184.88/29.48    (25)   ~ (all_52_4 = all_52_7)
% 184.88/29.48    (26)   ~ (all_24_2 = e3) | ( ~ (all_24_0 = e2) & op(e3, e3) = all_24_0 &
% 184.88/29.48            $i(all_24_0)) | ( ~ (all_24_1 = e0) & op(e3, e1) = all_24_1 &
% 184.88/29.48            $i(all_24_1))
% 184.88/29.48    (27)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 184.88/29.48    (28)   ~ (all_52_7 = e0)
% 184.88/29.48    (29)  op(e0, e3) = all_52_3
% 184.88/29.48    (30)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 184.88/29.48    (31)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.48            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.48    (32)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.88/29.48          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.88/29.48    (33)  all_24_2 = e3
% 184.88/29.48    (34)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 184.88/29.48          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 184.88/29.48    (35)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 184.88/29.48              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 184.88/29.48            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.88/29.48              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.88/29.48            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 184.88/29.48            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.88/29.48            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 184.88/29.48            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.88/29.48            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 184.88/29.48            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.88/29.48              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 184.88/29.48              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.88/29.48            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.88/29.48          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 184.88/29.48              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 184.88/29.48            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.88/29.48              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.88/29.48            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 184.88/29.48            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.88/29.48            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 184.88/29.48            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.88/29.48            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.88/29.48              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.88/29.48              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 184.88/29.48            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 184.88/29.48            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.88/29.48            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 184.88/29.48            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 184.88/29.48            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 184.88/29.48            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 184.88/29.48            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.88/29.48            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 184.88/29.48            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 184.88/29.48            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 184.88/29.48              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 184.88/29.48            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 184.88/29.48            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 184.88/29.48              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 184.88/29.48            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 184.88/29.48            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 184.88/29.48            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 184.88/29.48            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.88/29.48            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 184.88/29.48              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 184.88/29.48              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 184.88/29.48            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 184.88/29.48            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 184.88/29.48              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 184.88/29.48            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 184.88/29.48            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.88/29.48            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 184.88/29.48            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.88/29.48            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 184.88/29.48                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 184.88/29.48                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 184.88/29.48                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.88/29.48                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 184.88/29.48                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.88/29.48                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.88/29.48                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.88/29.48                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.88/29.48                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.88/29.48                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.88/29.48                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 184.88/29.48                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.88/29.48                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.88/29.48                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.88/29.48                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 184.88/29.48                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 184.88/29.48    (36)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.48          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.48    (37)  all_56_3 = e0
% 184.88/29.48    (38)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 184.88/29.48          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 184.88/29.48    (39)   ~ (all_52_9 = all_52_11)
% 184.88/29.48    (40)   ~ (all_52_9 = e2)
% 184.88/29.48    (41)   ~ (all_52_8 = all_52_9)
% 184.88/29.48    (42)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 184.88/29.48          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 184.88/29.48    (43)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.88/29.48          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.88/29.48            e1)
% 184.88/29.48    (44)  op(e2, e0) = all_52_13
% 184.88/29.48    (45)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 184.88/29.48          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.88/29.48    (46)   ~ (e3 = e2)
% 184.88/29.48    (47)  all_57_20 = all_52_9
% 184.88/29.48    (48)  all_54_2 = all_52_8
% 184.88/29.48    (49)  op(e3, e1) = all_52_8
% 184.88/29.48    (50)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 184.88/29.48          | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 184.88/29.48            e2) | ( ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 & $i(all_57_16))
% 184.88/29.48    (51)  op(e3, e3) = all_4_2
% 184.88/29.48    (52)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 184.88/29.48          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.88/29.48    (53)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.48          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.48    (54)  op(e3, e2) = all_52_4
% 184.88/29.48    (55)  all_56_4 = e0
% 184.88/29.48    (56)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.88/29.48          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 184.88/29.48            e3)
% 184.88/29.48    (57)  op(e1, e2) = all_52_6
% 184.88/29.48    (58)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 184.88/29.48    (59)  all_56_8 = e3
% 184.88/29.48    (60)   ~ (all_52_13 = e0)
% 184.88/29.48    (61)  all_57_27 = all_52_11
% 184.88/29.48    (62)   ~ (e2 = e1)
% 184.88/29.48    (63)   ~ (all_52_11 = e0)
% 184.88/29.48    (64)  op(e0, e2) = all_52_7
% 184.88/29.48    (65)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.88/29.48              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.88/29.48                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.88/29.48                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.88/29.48    (66)  all_54_14 = all_52_11
% 184.88/29.48    (67)  op(e2, e2) = e0
% 184.88/29.48    (68)   ~ (all_52_11 = e3)
% 184.88/29.48    (69)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 184.88/29.48    (70)   ~ (all_4_2 = e1)
% 184.88/29.48    (71)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.88/29.48          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.88/29.48    (72)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.88/29.48          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.88/29.48  
% 184.88/29.48  Begin of proof
% 184.88/29.48  | 
% 184.88/29.48  | BETA: splitting (52) gives:
% 184.88/29.48  | 
% 184.88/29.48  | Case 1:
% 184.88/29.48  | | 
% 184.88/29.48  | |   (73)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 184.88/29.48  | |           e2)
% 184.88/29.48  | | 
% 184.88/29.48  | | BETA: splitting (73) gives:
% 184.88/29.48  | | 
% 184.88/29.48  | | Case 1:
% 184.88/29.48  | | | 
% 184.88/29.48  | | |   (74)  all_56_4 = e2 & op(e3, e1) = e2
% 184.88/29.48  | | | 
% 184.88/29.48  | | | ALPHA: (74) implies:
% 184.88/29.48  | | |   (75)  all_56_4 = e2
% 184.88/29.48  | | | 
% 184.88/29.48  | | | REF_CLOSE: (21), (55), (75) are inconsistent by sub-proof #1394.
% 184.88/29.48  | | | 
% 184.88/29.48  | | Case 2:
% 184.88/29.48  | | | 
% 184.88/29.48  | | |   (76)  all_56_5 = e2 & op(e2, e1) = e2
% 184.88/29.48  | | | 
% 184.88/29.48  | | | ALPHA: (76) implies:
% 184.88/29.48  | | |   (77)  op(e2, e1) = e2
% 184.88/29.48  | | | 
% 184.88/29.48  | | | REF_CLOSE: (1), (11), (16), (31), (40), (69), (77) are inconsistent by
% 184.88/29.48  | | |            sub-proof #1146.
% 184.88/29.48  | | | 
% 184.88/29.48  | | End of split
% 184.88/29.48  | | 
% 184.88/29.48  | Case 2:
% 184.88/29.48  | | 
% 184.88/29.48  | |   (78)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 184.88/29.48  | |           e2)
% 184.88/29.48  | | 
% 184.88/29.48  | | BETA: splitting (78) gives:
% 184.88/29.48  | | 
% 184.88/29.48  | | Case 1:
% 184.88/29.48  | | | 
% 184.88/29.48  | | |   (79)  all_56_8 = e2 & op(e1, e1) = e2
% 184.88/29.48  | | | 
% 184.88/29.48  | | | ALPHA: (79) implies:
% 184.88/29.48  | | |   (80)  op(e1, e1) = e2
% 184.88/29.48  | | | 
% 184.88/29.48  | | | REF_CLOSE: (8), (31), (46), (80) are inconsistent by sub-proof #1164.
% 184.88/29.48  | | | 
% 184.88/29.48  | | Case 2:
% 184.88/29.48  | | | 
% 184.88/29.48  | | |   (81)  all_56_14 = e2 & op(e0, e1) = e2
% 184.88/29.48  | | | 
% 184.88/29.48  | | | ALPHA: (81) implies:
% 184.88/29.48  | | |   (82)  all_56_14 = e2
% 184.88/29.48  | | | 
% 184.88/29.48  | | | BETA: splitting (72) gives:
% 184.88/29.48  | | | 
% 184.88/29.48  | | | Case 1:
% 184.88/29.48  | | | | 
% 184.88/29.48  | | | |   (83)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1)
% 184.88/29.48  | | | |           = e1)
% 184.88/29.48  | | | | 
% 184.88/29.48  | | | | BETA: splitting (83) gives:
% 184.88/29.48  | | | | 
% 184.88/29.48  | | | | Case 1:
% 184.88/29.48  | | | | | 
% 184.88/29.48  | | | | |   (84)  all_56_4 = e1 & op(e3, e1) = e1
% 184.88/29.48  | | | | | 
% 184.88/29.48  | | | | | ALPHA: (84) implies:
% 184.88/29.48  | | | | |   (85)  all_56_4 = e1
% 184.88/29.48  | | | | | 
% 184.88/29.48  | | | | | REF_CLOSE: (9), (11), (13), (16), (21), (31), (32), (59), (82), (85)
% 184.88/29.48  | | | | |            are inconsistent by sub-proof #414.
% 184.88/29.48  | | | | | 
% 184.88/29.48  | | | | Case 2:
% 184.88/29.48  | | | | | 
% 184.88/29.48  | | | | |   (86)  all_56_5 = e1 & op(e2, e1) = e1
% 184.88/29.48  | | | | | 
% 184.88/29.48  | | | | | ALPHA: (86) implies:
% 184.88/29.48  | | | | |   (87)  all_56_5 = e1
% 184.88/29.48  | | | | | 
% 184.88/29.48  | | | | | BETA: splitting (69) gives:
% 184.88/29.48  | | | | | 
% 184.88/29.48  | | | | | Case 1:
% 184.88/29.48  | | | | | | 
% 184.88/29.48  | | | | | |   (88)  all_54_6 = e2
% 184.88/29.48  | | | | | | 
% 184.88/29.48  | | | | | | REF_CLOSE: (1), (40), (88) are inconsistent by sub-proof #1241.
% 184.88/29.48  | | | | | | 
% 184.88/29.48  | | | | | Case 2:
% 184.88/29.48  | | | | | | 
% 184.88/29.48  | | | | | |   (89)  all_54_6 = e1 | all_54_6 = e0
% 184.88/29.48  | | | | | | 
% 184.88/29.48  | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12),
% 184.88/29.48  | | | | | |            (14), (15), (16), (17), (18), (19), (20), (22), (23),
% 184.88/29.48  | | | | | |            (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 184.88/29.48  | | | | | |            (34), (35), (36), (37), (38), (39), (41), (42), (43),
% 184.88/29.48  | | | | | |            (44), (45), (47), (48), (49), (50), (51), (53), (54),
% 184.88/29.48  | | | | | |            (55), (56), (57), (58), (59), (60), (61), (63), (64),
% 184.88/29.48  | | | | | |            (65), (66), (67), (68), (70), (71), (82), (87), (89) are
% 184.88/29.48  | | | | | |            inconsistent by sub-proof #336.
% 184.88/29.48  | | | | | | 
% 184.88/29.48  | | | | | End of split
% 184.88/29.48  | | | | | 
% 184.88/29.48  | | | | End of split
% 184.88/29.48  | | | | 
% 184.88/29.48  | | | Case 2:
% 184.88/29.48  | | | | 
% 184.88/29.48  | | | |   (90)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1)
% 184.88/29.48  | | | |           = e1)
% 184.88/29.48  | | | | 
% 184.88/29.48  | | | | BETA: splitting (90) gives:
% 184.88/29.48  | | | | 
% 184.88/29.48  | | | | Case 1:
% 184.88/29.48  | | | | | 
% 184.88/29.48  | | | | |   (91)  all_56_8 = e1 & op(e1, e1) = e1
% 184.88/29.48  | | | | | 
% 184.88/29.48  | | | | | ALPHA: (91) implies:
% 184.88/29.48  | | | | |   (92)  op(e1, e1) = e1
% 184.88/29.48  | | | | | 
% 184.88/29.48  | | | | | REF_CLOSE: (8), (24), (31), (92) are inconsistent by sub-proof #1541.
% 184.88/29.48  | | | | | 
% 184.88/29.48  | | | | Case 2:
% 184.88/29.48  | | | | | 
% 184.88/29.48  | | | | |   (93)  all_56_14 = e1 & op(e0, e1) = e1
% 184.88/29.48  | | | | | 
% 184.88/29.48  | | | | | REF_CLOSE: (62), (82), (93) are inconsistent by sub-proof #1459.
% 184.88/29.48  | | | | | 
% 184.88/29.48  | | | | End of split
% 184.88/29.48  | | | | 
% 184.88/29.48  | | | End of split
% 184.88/29.48  | | | 
% 184.88/29.48  | | End of split
% 184.88/29.48  | | 
% 184.88/29.48  | End of split
% 184.88/29.48  | 
% 184.88/29.48  End of proof
% 184.88/29.48  
% 184.88/29.48  Sub-proof #336 shows that the following formulas are inconsistent:
% 184.88/29.48  ----------------------------------------------------------------
% 184.88/29.48    (1)  all_54_6 = all_52_9
% 184.88/29.48    (2)   ~ (all_52_8 = all_52_11)
% 184.88/29.48    (3)  op(e0, e0) = all_6_2
% 184.88/29.48    (4)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.88/29.48         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.88/29.48    (5)   ~ (all_52_8 = e3)
% 184.88/29.48    (6)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.48         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.88/29.48    (7)   ~ (all_6_2 = e1)
% 184.88/29.48    (8)  op(e1, e1) = e3
% 184.88/29.48    (9)  all_57_17 = all_52_8
% 184.88/29.48    (10)   ~ (all_52_9 = e0)
% 184.88/29.48    (11)  all_54_0 = all_4_2
% 184.88/29.48    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 184.88/29.48          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.88/29.48    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.88/29.48          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.88/29.48    (14)  op(e2, e1) = all_52_9
% 184.88/29.48    (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.88/29.48          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.88/29.48    (16)   ~ (all_52_11 = all_6_2)
% 184.88/29.48    (17)   ~ (all_52_6 = e0)
% 184.88/29.48    (18)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 184.88/29.48          | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 184.88/29.48            e2) | ( ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 & $i(all_57_23))
% 184.88/29.48    (19)   ~ (all_52_8 = all_4_2)
% 184.88/29.48    (20)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.48          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.88/29.48    (21)   ~ (all_52_4 = all_52_7)
% 184.88/29.48    (22)   ~ (all_24_2 = e3) | ( ~ (all_24_0 = e2) & op(e3, e3) = all_24_0 &
% 184.88/29.48            $i(all_24_0)) | ( ~ (all_24_1 = e0) & op(e3, e1) = all_24_1 &
% 184.88/29.48            $i(all_24_1))
% 184.88/29.48    (23)  all_56_14 = e2
% 184.88/29.48    (24)  all_56_5 = e1
% 184.88/29.48    (25)  all_54_6 = e1 | all_54_6 = e0
% 184.88/29.48    (26)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 184.88/29.48    (27)   ~ (all_52_7 = e0)
% 184.88/29.48    (28)  op(e0, e3) = all_52_3
% 184.88/29.48    (29)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 184.88/29.48    (30)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.88/29.48            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.88/29.48    (31)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.88/29.48          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.88/29.48    (32)  all_24_2 = e3
% 184.88/29.48    (33)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 184.88/29.48          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 184.88/29.49    (34)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 184.88/29.49              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 184.88/29.49            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.88/29.49              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.88/29.49            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 184.88/29.49            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 184.88/29.49            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 184.88/29.49            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 184.88/29.49            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 184.88/29.49            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.88/29.49              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 184.88/29.49              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.88/29.49            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.88/29.49          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 184.88/29.49              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 184.88/29.49            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 184.88/29.49              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 184.88/29.49            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 184.88/29.49            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 184.88/29.49            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 184.88/29.49            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.88/29.49            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.88/29.49              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.88/29.49              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 184.88/29.49            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 184.88/29.49            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.88/29.49            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 184.88/29.49            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 184.88/29.49            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 184.88/29.49            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 184.88/29.49            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.88/29.49            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 184.88/29.49            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 184.88/29.49            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 184.88/29.49              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 184.88/29.49            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 184.88/29.49            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 184.88/29.49              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 184.88/29.49            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 184.88/29.49            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 184.88/29.49            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 184.88/29.49            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.88/29.49            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 184.88/29.49              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 184.88/29.49              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 184.88/29.49            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 184.88/29.49            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 184.88/29.49              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 184.88/29.49            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 184.88/29.49            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.88/29.49            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 184.88/29.49            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.88/29.49            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 184.88/29.49                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 184.88/29.49                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 184.88/29.49                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.88/29.49                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 184.88/29.49                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.88/29.49                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.88/29.49                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.88/29.49                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.88/29.49                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.88/29.49                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.88/29.49                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 184.88/29.49                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.88/29.49                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 184.88/29.49                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.88/29.49                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 184.88/29.49                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 184.88/29.49    (35)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.88/29.49          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.88/29.49    (36)  all_56_3 = e0
% 184.88/29.49    (37)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 184.88/29.49          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 184.88/29.49    (38)   ~ (all_52_9 = all_52_11)
% 184.88/29.49    (39)   ~ (all_52_8 = all_52_9)
% 184.88/29.49    (40)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 184.88/29.49          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 184.88/29.49    (41)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.88/29.49          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.88/29.49            e1)
% 184.88/29.49    (42)  op(e2, e0) = all_52_13
% 184.88/29.49    (43)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 184.88/29.49          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.88/29.49    (44)  all_57_20 = all_52_9
% 184.88/29.49    (45)  all_54_2 = all_52_8
% 184.88/29.49    (46)  op(e3, e1) = all_52_8
% 184.88/29.49    (47)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 184.88/29.49          | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 184.88/29.49            e2) | ( ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 & $i(all_57_16))
% 184.88/29.49    (48)  op(e3, e3) = all_4_2
% 184.88/29.49    (49)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.88/29.49          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.88/29.49    (50)  op(e3, e2) = all_52_4
% 184.88/29.49    (51)  all_56_4 = e0
% 184.88/29.49    (52)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.88/29.49          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 184.88/29.49            e3)
% 184.88/29.49    (53)  op(e1, e2) = all_52_6
% 184.88/29.49    (54)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 184.88/29.49    (55)  all_56_8 = e3
% 184.88/29.49    (56)   ~ (all_52_13 = e0)
% 184.88/29.49    (57)  all_57_27 = all_52_11
% 184.88/29.49    (58)   ~ (all_52_11 = e0)
% 184.88/29.49    (59)  op(e0, e2) = all_52_7
% 184.88/29.49    (60)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.88/29.49              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.88/29.49                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.88/29.49                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.88/29.49    (61)  all_54_14 = all_52_11
% 184.88/29.49    (62)  op(e2, e2) = e0
% 184.88/29.49    (63)   ~ (all_52_11 = e3)
% 184.88/29.49    (64)   ~ (all_4_2 = e1)
% 184.88/29.49    (65)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.88/29.49          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.88/29.49  
% 184.88/29.49  Begin of proof
% 184.88/29.49  | 
% 184.88/29.49  | BETA: splitting (25) gives:
% 184.88/29.49  | 
% 184.88/29.49  | Case 1:
% 184.88/29.49  | | 
% 184.88/29.49  | |   (66)  all_54_6 = e1
% 184.88/29.49  | | 
% 184.88/29.49  | | COMBINE_EQS: (1), (66) imply:
% 184.88/29.49  | |   (67)  all_52_9 = e1
% 184.88/29.49  | | 
% 184.88/29.49  | | SIMP: (67) implies:
% 184.88/29.49  | |   (68)  all_52_9 = e1
% 184.88/29.49  | | 
% 184.88/29.49  | | COMBINE_EQS: (44), (68) imply:
% 184.88/29.49  | |   (69)  all_57_20 = e1
% 184.88/29.49  | | 
% 184.88/29.49  | | REDUCE: (39), (68) imply:
% 184.88/29.49  | |   (70)   ~ (all_52_8 = e1)
% 184.88/29.49  | | 
% 184.88/29.49  | | REDUCE: (38), (68) imply:
% 184.88/29.49  | |   (71)   ~ (all_52_11 = e1)
% 184.88/29.49  | | 
% 184.88/29.49  | | SIMP: (71) implies:
% 184.88/29.49  | |   (72)   ~ (all_52_11 = e1)
% 184.88/29.49  | | 
% 184.88/29.49  | | REDUCE: (14), (68) imply:
% 184.88/29.49  | |   (73)  op(e2, e1) = e1
% 184.88/29.49  | | 
% 184.88/29.49  | | BETA: splitting (54) gives:
% 184.88/29.49  | | 
% 184.88/29.49  | | Case 1:
% 184.88/29.49  | | | 
% 184.88/29.49  | | |   (74)  all_54_14 = e3
% 184.88/29.49  | | | 
% 184.88/29.49  | | | REF_CLOSE: (61), (63), (74) are inconsistent by sub-proof #1259.
% 184.88/29.49  | | | 
% 184.88/29.49  | | Case 2:
% 184.88/29.49  | | | 
% 184.88/29.49  | | |   (75)   ~ (all_54_14 = e3)
% 184.88/29.49  | | |   (76)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 184.88/29.49  | | | 
% 184.88/29.49  | | | BETA: splitting (76) gives:
% 184.88/29.49  | | | 
% 184.88/29.49  | | | Case 1:
% 184.88/29.49  | | | | 
% 184.88/29.49  | | | |   (77)  all_54_14 = e2
% 184.88/29.49  | | | | 
% 184.88/29.49  | | | | COMBINE_EQS: (61), (77) imply:
% 184.88/29.49  | | | |   (78)  all_52_11 = e2
% 184.88/29.49  | | | | 
% 184.88/29.49  | | | | SIMP: (78) implies:
% 184.88/29.49  | | | |   (79)  all_52_11 = e2
% 184.88/29.49  | | | | 
% 184.88/29.49  | | | | COMBINE_EQS: (57), (79) imply:
% 184.88/29.49  | | | |   (80)  all_57_27 = e2
% 184.88/29.49  | | | | 
% 184.88/29.49  | | | | REDUCE: (2), (79) imply:
% 184.88/29.49  | | | |   (81)   ~ (all_52_8 = e2)
% 184.88/29.49  | | | | 
% 184.88/29.49  | | | | REDUCE: (16), (79) imply:
% 184.88/29.49  | | | |   (82)   ~ (all_6_2 = e2)
% 184.88/29.49  | | | | 
% 184.88/29.49  | | | | SIMP: (82) implies:
% 184.88/29.49  | | | |   (83)   ~ (all_6_2 = e2)
% 184.88/29.49  | | | | 
% 184.88/29.49  | | | | REDUCE: (63), (79) imply:
% 184.88/29.49  | | | |   (84)   ~ (e3 = e2)
% 184.88/29.49  | | | | 
% 184.88/29.49  | | | | SIMP: (84) implies:
% 184.88/29.49  | | | |   (85)   ~ (e3 = e2)
% 184.88/29.49  | | | | 
% 184.88/29.49  | | | | REDUCE: (72), (79) imply:
% 184.88/29.49  | | | |   (86)   ~ (e2 = e1)
% 184.88/29.49  | | | | 
% 184.88/29.49  | | | | BETA: splitting (26) gives:
% 184.88/29.49  | | | | 
% 184.88/29.49  | | | | Case 1:
% 184.88/29.49  | | | | | 
% 184.88/29.49  | | | | |   (87)  all_54_2 = e3
% 184.88/29.49  | | | | | 
% 184.88/29.49  | | | | | REF_CLOSE: (5), (45), (87) are inconsistent by sub-proof #1335.
% 184.88/29.49  | | | | | 
% 184.88/29.49  | | | | Case 2:
% 184.88/29.49  | | | | | 
% 184.88/29.49  | | | | |   (88)   ~ (all_54_2 = e3)
% 184.88/29.49  | | | | |   (89)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 184.88/29.49  | | | | | 
% 184.88/29.49  | | | | | BETA: splitting (89) gives:
% 184.88/29.49  | | | | | 
% 184.88/29.49  | | | | | Case 1:
% 184.88/29.49  | | | | | | 
% 184.88/29.49  | | | | | |   (90)  all_54_2 = e2
% 184.88/29.49  | | | | | | 
% 184.88/29.49  | | | | | | REF_CLOSE: (45), (81), (90) are inconsistent by sub-proof #1480.
% 184.88/29.49  | | | | | | 
% 184.88/29.49  | | | | | Case 2:
% 184.88/29.49  | | | | | | 
% 184.88/29.49  | | | | | |   (91)   ~ (all_54_2 = e2)
% 184.88/29.49  | | | | | |   (92)  all_54_2 = e1 | all_54_2 = e0
% 184.88/29.49  | | | | | | 
% 184.88/29.49  | | | | | | BETA: splitting (92) gives:
% 184.88/29.49  | | | | | | 
% 184.88/29.49  | | | | | | Case 1:
% 184.88/29.49  | | | | | | | 
% 184.88/29.49  | | | | | | |   (93)  all_54_2 = e1
% 184.88/29.49  | | | | | | | 
% 184.88/29.49  | | | | | | | REF_CLOSE: (45), (70), (93) are inconsistent by sub-proof #1479.
% 184.88/29.49  | | | | | | | 
% 184.88/29.49  | | | | | | Case 2:
% 184.88/29.49  | | | | | | | 
% 184.88/29.49  | | | | | | |   (94)  all_54_2 = e0
% 184.88/29.49  | | | | | | | 
% 184.88/29.49  | | | | | | | COMBINE_EQS: (45), (94) imply:
% 184.88/29.49  | | | | | | |   (95)  all_52_8 = e0
% 184.88/29.49  | | | | | | | 
% 184.88/29.49  | | | | | | | SIMP: (95) implies:
% 184.88/29.49  | | | | | | |   (96)  all_52_8 = e0
% 184.88/29.49  | | | | | | | 
% 184.88/29.49  | | | | | | | COMBINE_EQS: (9), (96) imply:
% 184.88/29.49  | | | | | | |   (97)  all_57_17 = e0
% 184.88/29.49  | | | | | | | 
% 184.88/29.49  | | | | | | | REDUCE: (19), (96) imply:
% 184.88/29.49  | | | | | | |   (98)   ~ (all_4_2 = e0)
% 184.88/29.49  | | | | | | | 
% 184.88/29.49  | | | | | | | SIMP: (98) implies:
% 184.88/29.49  | | | | | | |   (99)   ~ (all_4_2 = e0)
% 184.88/29.49  | | | | | | | 
% 184.88/29.49  | | | | | | | REDUCE: (5), (96) imply:
% 184.88/29.49  | | | | | | |   (100)   ~ (e3 = e0)
% 184.88/29.49  | | | | | | | 
% 184.88/29.49  | | | | | | | SIMP: (100) implies:
% 184.88/29.49  | | | | | | |   (101)   ~ (e3 = e0)
% 184.88/29.49  | | | | | | | 
% 184.88/29.49  | | | | | | | REDUCE: (81), (96) imply:
% 184.88/29.49  | | | | | | |   (102)   ~ (e2 = e0)
% 184.88/29.49  | | | | | | | 
% 184.88/29.49  | | | | | | | SIMP: (102) implies:
% 184.88/29.49  | | | | | | |   (103)   ~ (e2 = e0)
% 184.88/29.49  | | | | | | | 
% 184.88/29.49  | | | | | | | REDUCE: (70), (96) imply:
% 184.88/29.49  | | | | | | |   (104)   ~ (e1 = e0)
% 184.88/29.49  | | | | | | | 
% 184.88/29.49  | | | | | | | SIMP: (104) implies:
% 184.88/29.49  | | | | | | |   (105)   ~ (e1 = e0)
% 184.88/29.49  | | | | | | | 
% 184.88/29.49  | | | | | | | REDUCE: (46), (96) imply:
% 184.88/29.49  | | | | | | |   (106)  op(e3, e1) = e0
% 184.88/29.49  | | | | | | | 
% 184.88/29.49  | | | | | | | BETA: splitting (22) gives:
% 184.88/29.49  | | | | | | | 
% 184.88/29.49  | | | | | | | Case 1:
% 184.88/29.49  | | | | | | | | 
% 184.88/29.49  | | | | | | | |   (107)   ~ (all_24_2 = e3)
% 184.88/29.49  | | | | | | | | 
% 184.88/29.49  | | | | | | | | REDUCE: (32), (107) imply:
% 184.88/29.49  | | | | | | | |   (108)  $false
% 184.88/29.49  | | | | | | | | 
% 184.88/29.49  | | | | | | | | CLOSE: (108) is inconsistent.
% 184.88/29.49  | | | | | | | | 
% 184.88/29.49  | | | | | | | Case 2:
% 184.88/29.49  | | | | | | | | 
% 184.88/29.49  | | | | | | | |   (109)  ( ~ (all_24_0 = e2) & op(e3, e3) = all_24_0 &
% 184.88/29.49  | | | | | | | |            $i(all_24_0)) | ( ~ (all_24_1 = e0) & op(e3, e1) =
% 184.88/29.49  | | | | | | | |            all_24_1 & $i(all_24_1))
% 184.88/29.49  | | | | | | | | 
% 184.88/29.49  | | | | | | | | BETA: splitting (109) gives:
% 184.88/29.49  | | | | | | | | 
% 184.88/29.49  | | | | | | | | Case 1:
% 184.88/29.49  | | | | | | | | | 
% 184.88/29.49  | | | | | | | | |   (110)   ~ (all_24_0 = e2) & op(e3, e3) = all_24_0 &
% 184.88/29.49  | | | | | | | | |          $i(all_24_0)
% 184.88/29.49  | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | ALPHA: (110) implies:
% 184.88/29.49  | | | | | | | | |   (111)   ~ (all_24_0 = e2)
% 184.88/29.49  | | | | | | | | |   (112)  op(e3, e3) = all_24_0
% 184.88/29.49  | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | GROUND_INST: instantiating (30) with all_4_2, all_24_0, e3, e3,
% 184.88/29.49  | | | | | | | | |              simplifying with (48), (112) gives:
% 184.88/29.49  | | | | | | | | |   (113)  all_24_0 = all_4_2
% 184.88/29.49  | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | REDUCE: (111), (113) imply:
% 184.88/29.49  | | | | | | | | |   (114)   ~ (all_4_2 = e2)
% 184.88/29.49  | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | BETA: splitting (47) gives:
% 184.88/29.49  | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | Case 1:
% 184.88/29.49  | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | |   (115)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 184.88/29.49  | | | | | | | | | |            e2 & op(e2, e2) = e2)
% 184.88/29.49  | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | REF_CLOSE: (11), (29), (30), (48), (62), (64), (99), (103),
% 184.88/29.49  | | | | | | | | | |            (114), (115) are inconsistent by sub-proof #608.
% 184.88/29.49  | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | Case 2:
% 184.88/29.49  | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | |   (116)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 184.88/29.49  | | | | | | | | | |            e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 184.88/29.49  | | | | | | | | | |            op(e3, e2) = all_57_16 & $i(all_57_16))
% 184.88/29.49  | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | BETA: splitting (116) gives:
% 184.88/29.49  | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | Case 1:
% 184.88/29.49  | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | |   (117)  all_57_30 = e2 & op(e1, e1) = e2
% 184.88/29.49  | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | ALPHA: (117) implies:
% 184.88/29.49  | | | | | | | | | | |   (118)  op(e1, e1) = e2
% 184.88/29.49  | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | REF_CLOSE: (8), (30), (85), (118) are inconsistent by
% 184.88/29.49  | | | | | | | | | | |            sub-proof #1164.
% 184.88/29.49  | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | Case 2:
% 184.88/29.49  | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | |   (119)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 184.88/29.49  | | | | | | | | | | |            (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 184.88/29.49  | | | | | | | | | | |            $i(all_57_16))
% 184.88/29.49  | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | BETA: splitting (119) gives:
% 184.88/29.49  | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | Case 1:
% 184.88/29.49  | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | |   (120)  all_57_31 = e2 & op(e0, e0) = e2
% 184.88/29.49  | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | ALPHA: (120) implies:
% 184.88/29.49  | | | | | | | | | | | |   (121)  op(e0, e0) = e2
% 184.88/29.49  | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | REF_CLOSE: (3), (30), (83), (121) are inconsistent by
% 184.88/29.49  | | | | | | | | | | | |            sub-proof #1511.
% 184.88/29.49  | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | Case 2:
% 184.88/29.49  | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | |   (122)   ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 184.88/29.49  | | | | | | | | | | | |          $i(all_57_16)
% 184.88/29.49  | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | ALPHA: (122) implies:
% 184.88/29.49  | | | | | | | | | | | |   (123)   ~ (all_57_16 = e3)
% 184.88/29.49  | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | BETA: splitting (18) gives:
% 184.88/29.49  | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | Case 1:
% 184.88/29.49  | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | |   (124)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 184.88/29.49  | | | | | | | | | | | | |            e2 & op(e2, e2) = e2)
% 184.88/29.49  | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | REF_CLOSE: (11), (29), (30), (48), (62), (64), (99), (103),
% 184.88/29.49  | | | | | | | | | | | | |            (114), (124) are inconsistent by sub-proof #608.
% 184.88/29.49  | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | Case 2:
% 184.88/29.49  | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | |   (125)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 184.88/29.49  | | | | | | | | | | | | |            e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 184.88/29.49  | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & $i(all_57_23))
% 184.88/29.49  | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | BETA: splitting (125) gives:
% 184.88/29.49  | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | Case 1:
% 184.88/29.49  | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | |   (126)  all_57_30 = e2 & op(e1, e1) = e2
% 184.88/29.49  | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | ALPHA: (126) implies:
% 184.88/29.49  | | | | | | | | | | | | | |   (127)  op(e1, e1) = e2
% 184.88/29.49  | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | REF_CLOSE: (8), (30), (85), (127) are inconsistent by
% 184.88/29.49  | | | | | | | | | | | | | |            sub-proof #1164.
% 184.88/29.49  | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | Case 2:
% 184.88/29.49  | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | |   (128)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 184.88/29.49  | | | | | | | | | | | | | |            (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 184.88/29.49  | | | | | | | | | | | | | |            $i(all_57_23))
% 184.88/29.49  | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 184.88/29.49  | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | Case 1:
% 184.88/29.49  | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | |   (129)  all_57_31 = e2 & op(e0, e0) = e2
% 184.88/29.49  | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | ALPHA: (129) implies:
% 184.88/29.49  | | | | | | | | | | | | | | |   (130)  op(e0, e0) = e2
% 184.88/29.49  | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | REF_CLOSE: (3), (30), (83), (130) are inconsistent by
% 184.88/29.49  | | | | | | | | | | | | | | |            sub-proof #1511.
% 184.88/29.49  | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | Case 2:
% 184.88/29.49  | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | |   (131)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 184.88/29.49  | | | | | | | | | | | | | | |          $i(all_57_23)
% 184.88/29.49  | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | ALPHA: (131) implies:
% 184.88/29.49  | | | | | | | | | | | | | | |   (132)   ~ (all_57_23 = e1)
% 184.88/29.49  | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 184.88/29.49  | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | Case 1:
% 184.88/29.49  | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | |   (133)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.88/29.49  | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 184.88/29.49  | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.88/29.49  | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.88/29.49  | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 184.88/29.49  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.88/29.49  | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 184.88/29.49  | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 184.88/29.49  | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 184.88/29.49  | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 184.88/29.49  | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 184.88/29.49  | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 184.88/29.49  | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 184.88/29.49  | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.88/29.49  | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 184.88/29.49  | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 184.88/29.49  | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.88/29.49  | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.88/29.49  | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 184.88/29.49  | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.88/29.49  | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 184.88/29.49  | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.88/29.49  | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 184.88/29.49  | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 184.88/29.49  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 184.88/29.49  | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 184.88/29.49  | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.88/29.49  | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.88/29.49  | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 184.88/29.49  | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 184.88/29.49  | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 184.88/29.49  | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.88/29.49  | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 184.88/29.49  | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.88/29.49  | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 184.88/29.49  | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 184.88/29.49  | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 184.88/29.49  | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 184.88/29.49  | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 184.88/29.49  | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | Case 1:
% 184.88/29.49  | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | |   (134)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.88/29.49  | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 184.88/29.49  | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 184.88/29.49  | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 184.88/29.49  | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 184.88/29.49  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 184.88/29.49  | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 184.88/29.49  | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 184.88/29.49  | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 184.88/29.49  | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 184.88/29.49  | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 184.88/29.49  | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 184.88/29.49  | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 184.88/29.49  | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.88/29.49  | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 184.88/29.49  | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 184.88/29.49  | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.88/29.49  | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 184.88/29.49  | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 184.88/29.49  | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 184.88/29.49  | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | Case 1:
% 184.88/29.49  | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | |   (135)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 184.88/29.49  | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 184.88/29.49  | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 184.88/29.49  | | | | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 184.88/29.49  | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.88/29.49  | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 184.88/29.49  | | | | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 184.88/29.49  | | | | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 184.88/29.49  | | | | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 184.88/29.49  | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | | ALPHA: (135) implies:
% 184.88/29.49  | | | | | | | | | | | | | | | | | |   (136)  all_57_16 = e3
% 184.88/29.49  | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | | REDUCE: (123), (136) imply:
% 184.88/29.49  | | | | | | | | | | | | | | | | | |   (137)  $false
% 184.88/29.49  | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | | CLOSE: (137) is inconsistent.
% 184.88/29.49  | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | Case 2:
% 184.88/29.49  | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | |   (138)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 184.88/29.49  | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 184.88/29.49  | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 184.88/29.49  | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 184.88/29.49  | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.88/29.49  | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 184.88/29.49  | | | | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 184.88/29.49  | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.88/29.49  | | | | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 184.88/29.49  | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 184.88/29.49  | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | | REF_CLOSE: (97), (101), (138) are inconsistent by sub-proof
% 184.88/29.49  | | | | | | | | | | | | | | | | | |            #351.
% 184.88/29.49  | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | End of split
% 184.88/29.49  | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | Case 2:
% 184.88/29.49  | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | |   (139)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.88/29.49  | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 184.88/29.49  | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 184.88/29.49  | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 184.88/29.49  | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 184.88/29.49  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 184.88/29.49  | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 184.88/29.49  | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.88/29.49  | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.88/29.49  | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 184.88/29.49  | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 184.88/29.49  | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 184.88/29.49  | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 184.88/29.49  | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 184.88/29.49  | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.88/29.49  | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 184.88/29.49  | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 184.88/29.49  | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 184.88/29.49  | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 184.88/29.49  | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 184.88/29.49  | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | Case 1:
% 184.88/29.49  | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | |   (140)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 184.88/29.49  | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 184.88/29.49  | | | | | | | | | | | | | | | | | |          ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 184.88/29.49  | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_17) =
% 184.88/29.49  | | | | | | | | | | | | | | | | | |          all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 184.88/29.49  | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 184.88/29.49  | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 184.88/29.49  | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 184.88/29.49  | | | | | | | | | | | | | | | | | |          $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 184.88/29.49  | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 184.88/29.49  | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | | ALPHA: (140) implies:
% 184.88/29.49  | | | | | | | | | | | | | | | | | |   (141)  op(e0, e3) = e3
% 184.88/29.49  | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 184.88/29.49  | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | | Case 1:
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | | |   (142)  all_54_0 = e3
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11), (142) imply:
% 184.88/29.49  | | | | | | | | | | | | | | | | | | |   (143)  all_4_2 = e3
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | SIMP: (143) implies:
% 184.88/29.49  | | | | | | | | | | | | | | | | | | |   (144)  all_4_2 = e3
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | REDUCE: (64), (144) imply:
% 184.88/29.49  | | | | | | | | | | | | | | | | | | |   (145)   ~ (e3 = e1)
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | REDUCE: (48), (144) imply:
% 184.88/29.49  | | | | | | | | | | | | | | | | | | |   (146)  op(e3, e3) = e3
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | |   (147)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | | |   (148)  all_56_2 = e2 & op(e2, e3) = e2
% 184.88/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (7), (8), (10), (14), (15), (17),
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | |            (20), (21), (23), (28), (30), (31), (33), (36),
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | |            (37), (40), (41), (43), (48), (49), (50), (51),
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | |            (53), (55), (59), (62), (64), (73), (83), (85),
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | |            (86), (101), (103), (105), (141), (145), (146),
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | |            (148) are inconsistent by sub-proof #345.
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | |   (149)  all_56_3 = e2 & op(e2, e2) = e2
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | ALPHA: (149) implies:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | |   (150)  op(e2, e2) = e2
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (62), (103), (150) are inconsistent by
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1586.
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | |   (151)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | BETA: splitting (151) gives:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | |   (152)  all_56_5 = e2 & op(e2, e1) = e2
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | ALPHA: (152) implies:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | |   (153)  all_56_5 = e2
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (86), (153) are inconsistent by sub-proof
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | |            #391.
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | |   (154)  all_56_10 = e2 & op(e2, e0) = e2
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | ALPHA: (154) implies:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | |   (155)  all_56_10 = e2
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | |   (156)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |   (157)  all_56_0 = e2 & op(e3, e3) = e2
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (157) implies:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |   (158)  op(e3, e3) = e2
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (85), (146), (158) are inconsistent by
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1594.
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |   (159)  all_56_2 = e2 & op(e2, e3) = e2
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (7), (8), (10), (14), (15), (17),
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            (20), (21), (23), (28), (30), (31), (33), (36),
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            (37), (40), (41), (43), (48), (49), (50), (51),
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            (53), (55), (59), (62), (64), (73), (83), (85),
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            (86), (101), (103), (105), (141), (145), (146),
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            (159) are inconsistent by sub-proof #345.
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | |   (160)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |   (161)  all_56_6 = e2 & op(e1, e3) = e2
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (161) implies:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |   (162)  all_56_6 = e2
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (28), (30), (48), (49), (62), (64), (73),
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            (85), (86), (101), (141), (145), (155), (162) are
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #343.
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |   (163)  all_56_12 = e2 & op(e0, e3) = e2
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (163) implies:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |   (164)  all_56_12 = e2
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (28), (30), (48), (49), (62), (64), (65),
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            (73), (85), (99), (101), (103), (105), (141),
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            (145), (155), (164) are inconsistent by sub-proof
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | |            #341.
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | |   (165)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (64), (99), (114), (165) are inconsistent by
% 184.94/29.49  | | | | | | | | | | | | | | | | | | |            sub-proof #1354.
% 184.94/29.49  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.49  | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | |   (166)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 184.94/29.49  | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 184.94/29.49  | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 184.94/29.49  | | | | | | | | | | | | | | | | | |            e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.94/29.49  | | | | | | | | | | | | | | | | | |            all_57_21) = all_57_7 & op(e2, all_57_29) =
% 184.94/29.49  | | | | | | | | | | | | | | | | | |          all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 184.94/29.49  | | | | | | | | | | | | | | | | | |          all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 184.94/29.49  | | | | | | | | | | | | | | | | | |          all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 184.94/29.49  | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 184.94/29.49  | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 184.94/29.49  | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | ALPHA: (166) implies:
% 184.94/29.49  | | | | | | | | | | | | | | | | | |   (167)   ~ (all_57_6 = e1)
% 184.94/29.49  | | | | | | | | | | | | | | | | | |   (168)  op(e2, e1) = all_57_20
% 184.94/29.49  | | | | | | | | | | | | | | | | | |   (169)  op(e2, all_57_20) = all_57_6
% 184.94/29.49  | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (69), (167), (168), (169) are inconsistent
% 184.94/29.49  | | | | | | | | | | | | | | | | | |            by sub-proof #340.
% 184.94/29.49  | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | End of split
% 184.94/29.49  | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | End of split
% 184.94/29.49  | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | Case 2:
% 184.94/29.49  | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | |   (170)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.94/29.49  | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 184.94/29.49  | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.94/29.49  | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 184.94/29.49  | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.94/29.49  | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 184.94/29.49  | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.94/29.49  | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.94/29.49  | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.94/29.49  | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 184.94/29.49  | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 184.94/29.49  | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 184.94/29.49  | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.94/29.49  | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.94/29.49  | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 184.94/29.49  | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 184.94/29.49  | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.94/29.49  | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.94/29.49  | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 184.94/29.49  | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.94/29.49  | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 184.94/29.49  | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.94/29.49  | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.94/29.49  | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.94/29.49  | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 184.94/29.49  | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.94/29.49  | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 184.94/29.49  | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.94/29.49  | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 184.94/29.49  | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.94/29.49  | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.94/29.49  | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.94/29.49  | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.94/29.49  | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.94/29.49  | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.94/29.49  | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.94/29.49  | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.94/29.49  | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.94/29.49  | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.94/29.49  | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.94/29.49  | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.94/29.49  | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.94/29.49  | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.94/29.49  | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.94/29.49  | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.94/29.49  | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.94/29.49  | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.94/29.49  | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.94/29.49  | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.94/29.49  | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.94/29.49  | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.94/29.49  | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.94/29.49  | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.94/29.49  | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.94/29.49  | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.94/29.49  | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.94/29.49  | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.94/29.49  | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.94/29.49  | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.94/29.49  | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.94/29.49  | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.94/29.49  | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.94/29.49  | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.94/29.49  | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.94/29.49  | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.94/29.49  | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 184.94/29.49  | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 184.94/29.49  | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.49  | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | |   (171)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.94/29.49  | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 184.94/29.49  | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.94/29.49  | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 184.94/29.49  | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 184.94/29.49  | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 184.94/29.49  | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 184.94/29.49  | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.94/29.49  | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.94/29.49  | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 184.94/29.49  | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 184.94/29.49  | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 184.94/29.49  | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 184.94/29.49  | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 184.94/29.49  | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 184.94/29.49  | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 184.94/29.49  | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 184.94/29.49  | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.94/29.49  | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 184.94/29.49  | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 184.94/29.49  | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | |   (172)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 184.94/29.49  | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 184.94/29.49  | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 184.94/29.49  | | | | | | | | | | | | | | | | | |            all_57_19) = all_57_4 & op(e2, all_57_21) =
% 184.94/29.49  | | | | | | | | | | | | | | | | | |          all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.94/29.49  | | | | | | | | | | | | | | | | | |            e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 184.94/29.49  | | | | | | | | | | | | | | | | | |          op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 184.94/29.49  | | | | | | | | | | | | | | | | | |            e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.94/29.49  | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 184.94/29.49  | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 184.94/29.49  | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | ALPHA: (172) implies:
% 184.94/29.49  | | | | | | | | | | | | | | | | | |   (173)  all_57_20 = e2
% 184.94/29.49  | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (69), (173) imply:
% 184.94/29.49  | | | | | | | | | | | | | | | | | |   (174)  e2 = e1
% 184.94/29.49  | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | SIMP: (174) implies:
% 184.94/29.49  | | | | | | | | | | | | | | | | | |   (175)  e2 = e1
% 184.94/29.49  | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | REDUCE: (86), (175) imply:
% 184.94/29.49  | | | | | | | | | | | | | | | | | |   (176)  $false
% 184.94/29.49  | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | | CLOSE: (176) is inconsistent.
% 184.94/29.49  | | | | | | | | | | | | | | | | | | 
% 184.94/29.49  | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.49  | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | |   (177)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 184.94/29.50  | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 184.94/29.50  | | | | | | | | | | | | | | | | | |          ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 184.94/29.50  | | | | | | | | | | | | | | | | | |            all_57_19) = all_57_4 & op(e2, all_57_20) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | |          all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.94/29.50  | | | | | | | | | | | | | | | | | |            e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 184.94/29.50  | | | | | | | | | | | | | | | | | |            e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |          $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | ALPHA: (177) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | |   (178)   ~ (all_57_29 = e0)
% 184.94/29.50  | | | | | | | | | | | | | | | | | |   (179)  op(e2, e2) = all_57_29
% 184.94/29.50  | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (62), (178), (179) are inconsistent by
% 184.94/29.50  | | | | | | | | | | | | | | | | | |            sub-proof #1334.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | |   (180)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.94/29.50  | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 184.94/29.50  | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.94/29.50  | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 184.94/29.50  | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.94/29.50  | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 184.94/29.50  | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 184.94/29.50  | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 184.94/29.50  | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.94/29.50  | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 184.94/29.50  | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 184.94/29.50  | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 184.94/29.50  | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.94/29.50  | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.94/29.50  | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.94/29.50  | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.94/29.50  | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.94/29.50  | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.94/29.50  | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.94/29.50  | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.94/29.50  | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.94/29.50  | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.94/29.50  | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.94/29.50  | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.94/29.50  | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.94/29.50  | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.94/29.50  | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.94/29.50  | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.94/29.50  | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.94/29.50  | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.94/29.50  | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.94/29.50  | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.94/29.50  | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.94/29.50  | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.94/29.50  | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.94/29.50  | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.94/29.50  | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.94/29.50  | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.94/29.50  | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.94/29.50  | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.94/29.50  | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.94/29.50  | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.94/29.50  | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.94/29.50  | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.94/29.50  | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.94/29.50  | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.94/29.50  | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 184.94/29.50  | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | |   (181)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 184.94/29.50  | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 184.94/29.50  | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 184.94/29.50  | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.94/29.50  | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | REF_CLOSE: (97), (105), (181) are inconsistent by sub-proof
% 184.94/29.50  | | | | | | | | | | | | | | | | | |            #339.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | |   (182)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 184.94/29.50  | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 184.94/29.50  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 184.94/29.50  | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 184.94/29.50  | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.94/29.50  | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 184.94/29.50  | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |   (183)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | ALPHA: (183) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |   (184)  all_57_23 = e1
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | REDUCE: (132), (184) imply:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |   (185)  $false
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | CLOSE: (185) is inconsistent.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |   (186)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |                    e0) = e0))))
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | ALPHA: (186) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |   (187)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |   (188)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |          ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |            all_57_22) = all_57_8 & op(e1, all_57_23) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |          all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |            e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |          $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |          $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (86), (188) are inconsistent by sub-proof
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |            #845.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |   (189)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |            all_57_25) = all_57_12 & op(e0, all_57_26) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |          all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |            all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |          & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |          & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |          $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |          $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |              & all_57_25 = e0 & op(e3, e0) = e0) |
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |            (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0))
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | ALPHA: (189) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |   (190)   ~ (all_57_15 = e0)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |   (191)  op(e0, e0) = all_57_31
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |   (192)  op(e0, e3) = all_57_25
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |   (193)  op(e0, all_57_31) = all_57_15
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |   (194)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |            = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | |            all_57_27 = e0 & op(e1, e0) = e0)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | |   (195)  all_54_0 = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11), (195) imply:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | |   (196)  all_4_2 = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | SIMP: (196) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | |   (197)  all_4_2 = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (197) imply:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | |   (198)   ~ (e3 = e1)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (197) imply:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | |   (199)  op(e3, e3) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | |   (200)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_56_2 = e3 & op(e2, e3) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (201) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | |   (202)  all_56_2 = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | |   (203)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_56_2 = e2 & op(e2, e3) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (204) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  all_56_2 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (202), (205) are inconsistent by sub-proof
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | |            #1414.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  all_56_3 = e2 & op(e2, e2) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  op(e2, e2) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (62), (103), (207) are inconsistent by
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1586.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | |   (208)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  all_56_5 = e2 & op(e2, e1) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (209) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_56_5 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (86), (210) are inconsistent by sub-proof
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | |            #391.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_56_10 = e2 & op(e2, e0) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (211) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_56_10 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_57_31 = e0
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (213) imply:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  op(e0, e0) = all_57_15
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (191), (213) imply:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  op(e0, e0) = e0
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (190), (214), (215) are inconsistent by
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1605.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e0)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  all_56_15 = e0 & op(e0, e0) = e0
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (217) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  op(e0, e0) = e0
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (85), (199), (202), (219) are inconsistent
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #993.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_56_6 = e2 & op(e1, e3) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (221) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_56_6 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_56_12 = e3 & op(e0, e3) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (224) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  op(e0, e3) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (28), (30), (48), (49), (62), (64), (73),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (85), (86), (101), (198), (212), (222), (225) are
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #343.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_56_13 = e3 & op(e0, e2) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (226) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  all_56_13 = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (7), (23), (30), (41), (42), (49), (56),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (62), (73), (80), (85), (86), (101), (103), (105),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (192), (198), (202), (212), (216), (227) are
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #338.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (30), (85), (101), (218), (228) are
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #859.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  all_56_12 = e2 & op(e0, e3) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (229) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_56_12 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  all_56_12 = e3 & op(e0, e3) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (232) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  op(e0, e3) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (28), (30), (48), (49), (62), (64), (65),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (85), (99), (101), (103), (105), (198),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (212), (230), (233) are inconsistent by sub-proof
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #341.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_56_13 = e3 & op(e0, e2) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (234) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_56_13 = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (7), (23), (30), (41), (42), (49), (56),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (62), (73), (80), (85), (86), (101), (103), (105),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (192), (198), (202), (212), (216), (235) are
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #338.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (30), (85), (101), (218), (236) are
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #859.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (237) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (85), (199), (202), (239) are inconsistent
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #993.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  all_56_6 = e2 & op(e1, e3) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (241) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  all_56_6 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (48), (49), (62), (64), (73), (85), (101),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (198), (212), (243) are inconsistent by sub-proof
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #344.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_56_6 = e1 & op(e1, e3) = e1
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (245) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  all_56_6 = e1
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (86), (242), (246) are inconsistent by sub-proof
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1215.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_56_12 = e1 & op(e0, e3) = e1
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (247) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_56_12 = e1
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (27), (30), (59), (103), (105), (238), (248)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1442.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_56_12 = e2 & op(e0, e3) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (249) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_56_12 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (65) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e0)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (48), (49), (62), (73), (85), (99), (101),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (198), (212), (251) are inconsistent by sub-proof
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #342.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_56_6 = e0 & op(e1, e3) = e0
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (253) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_56_6 = e0
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (48), (49), (62), (64), (73), (85), (101),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (198), (212), (255) are inconsistent by sub-proof
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #344.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_56_6 = e1 & op(e1, e3) = e1
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (254), (257) are inconsistent by sub-proof
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1522.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_56_12 = e1 & op(e0, e3) = e1
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (258) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_56_12 = e1
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (27), (30), (59), (103), (105), (238), (259)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1442.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_56_12 = e0 & op(e0, e3) = e0
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (260) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_56_12 = e0
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (103), (250), (261) are inconsistent by sub-proof
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1548.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_56_3 = e3 & op(e2, e2) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (262) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | |   (263)  op(e2, e2) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (62), (101), (263) are inconsistent by
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1015.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | |   (264)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_56_5 = e3 & op(e2, e1) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (265) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | |   (266)  op(e2, e1) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (73), (198), (266) are inconsistent by
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1456.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_56_10 = e3 & op(e2, e0) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (267) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_56_10 = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | |   (269)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_56_2 = e2 & op(e2, e3) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (270) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_56_2 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (14), (23), (30), (31), (33), (36), (40),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (51), (55), (62), (64), (73), (85),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (101), (103), (105), (198), (199), (268),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | |            (271), (272) are inconsistent by sub-proof #350.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_56_7 = e3 & op(e1, e2) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (274) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_56_7 = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  all_56_1 = e2 & op(e3, e2) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (277) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_56_1 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (8), (10), (14), (15), (17), (23), (30),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (33), (36), (43), (48), (49), (53), (55),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (64), (73), (83), (85), (86), (101), (103), (105),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (198), (268), (271), (275), (278) are inconsistent
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #349.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_56_3 = e2 & op(e2, e2) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (279) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  op(e2, e2) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (62), (103), (280) are inconsistent by
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1586.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_56_7 = e2 & op(e1, e2) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (282) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_56_7 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (275), (283) are inconsistent by sub-proof
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1430.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  all_56_13 = e2 & op(e0, e2) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (284) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_56_13 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  op(e0, e2) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_56_12 = e3 & op(e0, e3) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (288) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  op(e0, e3) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (7), (8), (15), (17), (21), (23), (28),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (30), (36), (37), (40), (41), (43), (49), (50),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (51), (53), (55), (59), (73), (83), (85), (86),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (101), (103), (105), (198), (199), (268), (271),
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (275), (285), (286), (289) are inconsistent by
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #346.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_56_13 = e3 & op(e0, e2) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (285), (290) are inconsistent by sub-proof
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #760.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_56_14 = e3 & op(e0, e1) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (292) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_56_14 = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (85), (293) are inconsistent by sub-proof
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1512.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_56_15 = e3 & op(e0, e0) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (294) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  op(e0, e0) = e3
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (37) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e2)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (296) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_56_6 = e2 & op(e1, e3) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (297) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  all_56_6 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_56_15 = e0 & op(e0, e0) = e0
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (299) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  op(e0, e0) = e0
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (101), (295), (300) are inconsistent by
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1540.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (301) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (48), (64), (86), (271), (303) are
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #989.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_56_6 = e1 & op(e1, e3) = e1
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (86), (298), (305) are inconsistent by sub-proof
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #996.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  all_56_12 = e1 & op(e0, e3) = e1
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (306) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  all_56_12 = e1
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (27), (30), (59), (103), (105), (302), (307)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1442.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  all_56_7 = e2 & op(e1, e2) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (308) implies:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  all_56_7 = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (275), (309) are inconsistent by sub-proof
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1430.
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e0) = e2)
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  all_56_8 = e2 & op(e1, e1) = e2
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (311) implies:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  op(e1, e1) = e2
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (30), (85), (312) are inconsistent by
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1164.
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_56_11 = e2 & op(e1, e0) = e2
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (313) implies:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_56_11 = e2
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_56_15 = e0 & op(e0, e0) = e0
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (315) implies:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  op(e0, e0) = e0
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (101), (295), (316) are inconsistent by
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1540.
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (317) implies:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e0)
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (48), (64), (86), (271), (319) are
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #989.
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  all_56_6 = e1 & op(e1, e3) = e1
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (321) implies:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_56_6 = e1
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (30), (53), (55), (101), (103), (105),
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (314), (322) are inconsistent by sub-proof #347.
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_56_12 = e1 & op(e0, e3) = e1
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (323) implies:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_56_12 = e1
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (27), (30), (59), (103), (105), (318), (324)
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1442.
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_56_13 = e3 & op(e0, e2) = e3
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (325) implies:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_56_13 = e3
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_57_31 = e0
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (193), (327) imply:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  op(e0, e0) = all_57_15
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (191), (327) imply:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  op(e0, e0) = e0
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (190), (328), (329) are inconsistent by
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1605.
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e0)
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  all_56_12 = e1 & op(e0, e3) = e1
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (332) implies:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  op(e0, e3) = e1
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (42), (56), (80), (103), (105), (192),
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (330), (333) are inconsistent by sub-proof #843.
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_56_13 = e1 & op(e0, e2) = e1
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (334) implies:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_56_13 = e1
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (36), (49), (73), (85), (101), (198), (268),
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (271), (326), (335) are inconsistent by sub-proof
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #337.
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (7), (23), (30), (86), (336) are inconsistent
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #992.
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_56_3 = e2 & op(e2, e2) = e2
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (337) implies:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  op(e2, e2) = e2
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (30), (62), (103), (338) are inconsistent by
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1586.
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | |   (339)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_56_5 = e2 & op(e2, e1) = e2
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (340) implies:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_56_5 = e2
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (341) imply:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  e2 = e1
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (342) imply:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  $false
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (343) is inconsistent.
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_56_10 = e2 & op(e2, e0) = e2
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (268), (344) are inconsistent by sub-proof
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | |            #1502.
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | |   (345)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (64), (99), (114), (345) are inconsistent by
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1354.
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | | 
% 184.94/29.51  | | | | | | | | Case 2:
% 184.94/29.51  | | | | | | | | | 
% 184.94/29.51  | | | | | | | | |   (346)   ~ (all_24_1 = e0) & op(e3, e1) = all_24_1 &
% 184.94/29.51  | | | | | | | | |          $i(all_24_1)
% 184.94/29.51  | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | ALPHA: (346) implies:
% 184.94/29.51  | | | | | | | | |   (347)   ~ (all_24_1 = e0)
% 184.94/29.51  | | | | | | | | |   (348)  op(e3, e1) = all_24_1
% 184.94/29.51  | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | GROUND_INST: instantiating (30) with e0, all_24_1, e1, e3,
% 184.94/29.51  | | | | | | | | |              simplifying with (106), (348) gives:
% 184.94/29.51  | | | | | | | | |   (349)  all_24_1 = e0
% 184.94/29.51  | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | REDUCE: (347), (349) imply:
% 184.94/29.51  | | | | | | | | |   (350)  $false
% 184.94/29.51  | | | | | | | | | 
% 184.94/29.51  | | | | | | | | | CLOSE: (350) is inconsistent.
% 184.94/29.51  | | | | | | | | | 
% 184.94/29.51  | | | | | | | | End of split
% 184.94/29.51  | | | | | | | | 
% 184.94/29.51  | | | | | | | End of split
% 184.94/29.51  | | | | | | | 
% 184.94/29.51  | | | | | | End of split
% 184.94/29.51  | | | | | | 
% 184.94/29.51  | | | | | End of split
% 184.94/29.51  | | | | | 
% 184.94/29.51  | | | | End of split
% 184.94/29.51  | | | | 
% 184.94/29.51  | | | Case 2:
% 184.94/29.51  | | | | 
% 184.94/29.51  | | | |   (351)  all_54_14 = e1 | all_54_14 = e0
% 184.94/29.51  | | | | 
% 184.94/29.51  | | | | REF_CLOSE: (58), (61), (72), (351) are inconsistent by sub-proof #1305.
% 184.94/29.51  | | | | 
% 184.94/29.51  | | | End of split
% 184.94/29.51  | | | 
% 184.94/29.51  | | End of split
% 184.94/29.51  | | 
% 184.94/29.51  | Case 2:
% 184.94/29.51  | | 
% 184.94/29.51  | |   (352)  all_54_6 = e0
% 184.94/29.51  | | 
% 184.94/29.51  | | REF_CLOSE: (1), (10), (352) are inconsistent by sub-proof #1235.
% 184.94/29.51  | | 
% 184.94/29.51  | End of split
% 184.94/29.51  | 
% 184.94/29.51  End of proof
% 184.94/29.51  
% 184.94/29.51  Sub-proof #337 shows that the following formulas are inconsistent:
% 184.94/29.51  ----------------------------------------------------------------
% 184.94/29.51    (1)  all_56_10 = e3
% 184.94/29.51    (2)  all_56_13 = e3
% 184.94/29.51    (3)  all_56_2 = e2
% 184.94/29.51    (4)   ~ (e3 = e0)
% 184.94/29.51    (5)  op(e2, e1) = e1
% 184.94/29.51    (6)   ~ (e3 = e1)
% 184.94/29.51    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.51    (8)  all_56_3 = e0
% 184.94/29.51    (9)   ~ (e3 = e2)
% 184.94/29.51    (10)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.94/29.51          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.94/29.51    (11)  all_56_13 = e1
% 184.94/29.51  
% 184.94/29.51  Begin of proof
% 184.94/29.51  | 
% 184.94/29.51  | COMBINE_EQS: (2), (11) imply:
% 184.94/29.51  |   (12)  e3 = e1
% 184.94/29.51  | 
% 184.94/29.51  | SIMP: (12) implies:
% 184.94/29.51  |   (13)  e3 = e1
% 184.94/29.51  | 
% 184.94/29.51  | COMBINE_EQS: (1), (13) imply:
% 184.94/29.51  |   (14)  all_56_10 = e1
% 184.94/29.51  | 
% 184.94/29.51  | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (14) are inconsistent by
% 184.94/29.51  |            sub-proof #787.
% 184.94/29.51  | 
% 184.94/29.51  End of proof
% 184.94/29.51  
% 184.94/29.51  Sub-proof #338 shows that the following formulas are inconsistent:
% 184.94/29.51  ----------------------------------------------------------------
% 184.94/29.51    (1)  op(e0, e0) = all_6_2
% 184.94/29.51    (2)   ~ (all_6_2 = e1)
% 184.94/29.51    (3)  all_56_10 = e2
% 184.94/29.51    (4)   ~ (e1 = e0)
% 184.94/29.51    (5)  all_56_13 = e3
% 184.94/29.51    (6)  op(e0, e3) = all_57_25
% 184.94/29.51    (7)   ~ (e3 = e0)
% 184.94/29.51    (8)  all_57_27 = e2
% 184.94/29.51    (9)  op(e2, e1) = e1
% 184.94/29.51    (10)   ~ (e2 = e0)
% 184.94/29.51    (11)   ~ (e3 = e1)
% 184.94/29.51    (12)  all_56_14 = e2
% 184.94/29.51    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.51            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.51    (14)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.94/29.51          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.94/29.51            e1)
% 184.94/29.51    (15)  op(e2, e0) = all_52_13
% 184.94/29.51    (16)   ~ (e3 = e2)
% 184.94/29.51    (17)  all_56_2 = e3
% 184.94/29.51    (18)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.94/29.51          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.94/29.51    (19)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 = e0 &
% 184.94/29.51            all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 184.94/29.51            op(e1, e0) = e0)
% 184.94/29.51    (20)   ~ (all_52_13 = e0)
% 184.94/29.51    (21)   ~ (e2 = e1)
% 184.94/29.51    (22)  op(e2, e2) = e0
% 184.94/29.51  
% 184.94/29.51  Begin of proof
% 184.94/29.51  | 
% 184.94/29.51  | BETA: splitting (14) gives:
% 184.94/29.51  | 
% 184.94/29.51  | Case 1:
% 184.94/29.51  | | 
% 184.94/29.51  | |   (23)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 184.94/29.51  | |           e1)
% 184.94/29.51  | | 
% 184.94/29.51  | | BETA: splitting (23) gives:
% 184.94/29.51  | | 
% 184.94/29.51  | | Case 1:
% 184.94/29.51  | | | 
% 184.94/29.51  | | |   (24)  all_56_12 = e1 & op(e0, e3) = e1
% 184.94/29.51  | | | 
% 184.94/29.51  | | | ALPHA: (24) implies:
% 184.94/29.51  | | |   (25)  op(e0, e3) = e1
% 184.94/29.51  | | | 
% 184.94/29.51  | | | REF_CLOSE: (4), (6), (8), (10), (13), (15), (19), (20), (25) are
% 184.94/29.51  | | |            inconsistent by sub-proof #843.
% 184.94/29.51  | | | 
% 184.94/29.51  | | Case 2:
% 184.94/29.51  | | | 
% 184.94/29.51  | | |   (26)  all_56_13 = e1 & op(e0, e2) = e1
% 184.94/29.51  | | | 
% 184.94/29.51  | | | ALPHA: (26) implies:
% 184.94/29.51  | | |   (27)  all_56_13 = e1
% 184.94/29.51  | | | 
% 184.94/29.51  | | | COMBINE_EQS: (5), (27) imply:
% 184.94/29.51  | | |   (28)  e3 = e1
% 184.94/29.51  | | | 
% 184.94/29.51  | | | COMBINE_EQS: (17), (28) imply:
% 184.94/29.51  | | |   (29)  all_56_2 = e1
% 184.94/29.51  | | | 
% 184.94/29.51  | | | REF_CLOSE: (3), (7), (9), (11), (13), (16), (18), (22), (29) are
% 184.94/29.51  | | |            inconsistent by sub-proof #428.
% 184.94/29.51  | | | 
% 184.94/29.51  | | End of split
% 184.94/29.51  | | 
% 184.94/29.51  | Case 2:
% 184.94/29.51  | | 
% 184.94/29.51  | |   (30)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.94/29.51  | |           e1)
% 184.94/29.51  | | 
% 184.94/29.51  | | REF_CLOSE: (1), (2), (12), (13), (21), (30) are inconsistent by sub-proof
% 184.94/29.51  | |            #1458.
% 184.94/29.51  | | 
% 184.94/29.51  | End of split
% 184.94/29.51  | 
% 184.94/29.51  End of proof
% 184.94/29.51  
% 184.94/29.51  Sub-proof #339 shows that the following formulas are inconsistent:
% 184.94/29.51  ----------------------------------------------------------------
% 184.94/29.51    (1)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 = e1 &  ~ (all_57_9 =
% 184.94/29.51           e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 184.94/29.51         op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1, all_57_24) =
% 184.94/29.51         all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = e1 & op(e1, e2)
% 184.94/29.51         = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 &
% 184.94/29.51         $i(all_57_9) & $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 184.94/29.51         $i(all_57_24) & $i(all_57_30)
% 184.94/29.51    (2)  all_57_17 = e0
% 184.94/29.51    (3)   ~ (e1 = e0)
% 184.94/29.51  
% 184.94/29.51  Begin of proof
% 184.94/29.51  | 
% 184.94/29.51  | ALPHA: (1) implies:
% 184.94/29.51  |   (4)  all_57_17 = e1
% 184.94/29.51  | 
% 184.94/29.51  | COMBINE_EQS: (2), (4) imply:
% 184.94/29.51  |   (5)  e1 = e0
% 184.94/29.51  | 
% 184.94/29.51  | SIMP: (5) implies:
% 184.94/29.51  |   (6)  e1 = e0
% 184.94/29.51  | 
% 184.94/29.51  | REDUCE: (3), (6) imply:
% 184.94/29.51  |   (7)  $false
% 184.94/29.51  | 
% 184.94/29.51  | CLOSE: (7) is inconsistent.
% 184.94/29.51  | 
% 184.94/29.51  End of proof
% 184.94/29.51  
% 184.94/29.51  Sub-proof #340 shows that the following formulas are inconsistent:
% 184.94/29.51  ----------------------------------------------------------------
% 184.94/29.51    (1)  all_57_20 = e1
% 184.94/29.51    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.51    (3)  op(e2, e1) = all_57_20
% 184.94/29.51    (4)   ~ (all_57_6 = e1)
% 184.94/29.51    (5)  op(e2, all_57_20) = all_57_6
% 184.94/29.51  
% 184.94/29.51  Begin of proof
% 184.94/29.51  | 
% 184.94/29.51  | REDUCE: (1), (5) imply:
% 184.94/29.51  |   (6)  op(e2, e1) = all_57_6
% 184.94/29.51  | 
% 184.94/29.51  | REDUCE: (1), (3) imply:
% 184.94/29.51  |   (7)  op(e2, e1) = e1
% 184.94/29.51  | 
% 184.94/29.51  | GROUND_INST: instantiating (2) with e1, all_57_6, e1, e2, simplifying with
% 184.94/29.51  |              (6), (7) gives:
% 184.94/29.51  |   (8)  all_57_6 = e1
% 184.94/29.51  | 
% 184.94/29.51  | REDUCE: (4), (8) imply:
% 184.94/29.51  |   (9)  $false
% 184.94/29.51  | 
% 184.94/29.51  | CLOSE: (9) is inconsistent.
% 184.94/29.51  | 
% 184.94/29.51  End of proof
% 184.94/29.51  
% 184.94/29.51  Sub-proof #341 shows that the following formulas are inconsistent:
% 184.94/29.51  ----------------------------------------------------------------
% 184.94/29.51    (1)  op(e0, e3) = e3
% 184.94/29.51    (2)   ~ (all_4_2 = e0)
% 184.94/29.51    (3)  all_56_10 = e2
% 184.94/29.51    (4)   ~ (e1 = e0)
% 184.94/29.51    (5)   ~ (e3 = e0)
% 184.94/29.51    (6)  op(e2, e1) = e1
% 184.94/29.51    (7)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.94/29.51         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.94/29.51    (8)   ~ (e2 = e0)
% 184.94/29.51    (9)   ~ (e3 = e1)
% 184.94/29.51    (10)  op(e0, e3) = all_52_3
% 184.94/29.51    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.51            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.51    (12)  all_56_12 = e2
% 184.94/29.51    (13)   ~ (e3 = e2)
% 184.94/29.51    (14)  op(e3, e3) = all_4_2
% 184.94/29.51    (15)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.94/29.51          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.94/29.51    (16)  op(e2, e2) = e0
% 184.94/29.51    (17)   ~ (all_4_2 = e1)
% 184.94/29.51    (18)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.94/29.51          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.94/29.51  
% 184.94/29.51  Begin of proof
% 184.94/29.51  | 
% 184.94/29.51  | BETA: splitting (18) gives:
% 184.94/29.51  | 
% 184.94/29.51  | Case 1:
% 184.94/29.51  | | 
% 184.94/29.51  | |   (19)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 184.94/29.51  | |           e0)
% 184.94/29.51  | | 
% 184.94/29.51  | | REF_CLOSE: (2), (3), (5), (6), (9), (11), (13), (14), (15), (16), (19) are
% 184.94/29.51  | |            inconsistent by sub-proof #342.
% 184.94/29.51  | | 
% 184.94/29.51  | Case 2:
% 184.94/29.51  | | 
% 184.94/29.51  | |   (20)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 184.94/29.51  | |           e0)
% 184.94/29.51  | | 
% 184.94/29.51  | | BETA: splitting (20) gives:
% 184.94/29.51  | | 
% 184.94/29.51  | | Case 1:
% 184.94/29.51  | | | 
% 184.94/29.51  | | |   (21)  all_56_6 = e0 & op(e1, e3) = e0
% 184.94/29.51  | | | 
% 184.94/29.51  | | | ALPHA: (21) implies:
% 184.94/29.51  | | |   (22)  all_56_6 = e0
% 184.94/29.51  | | | 
% 184.94/29.51  | | | BETA: splitting (7) gives:
% 184.94/29.51  | | | 
% 184.94/29.51  | | | Case 1:
% 184.94/29.51  | | | | 
% 184.94/29.51  | | | |   (23)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3)
% 184.94/29.51  | | | |           = e1)
% 184.94/29.51  | | | | 
% 184.94/29.51  | | | | REF_CLOSE: (3), (5), (6), (9), (11), (13), (14), (15), (16), (17), (23)
% 184.94/29.51  | | | |            are inconsistent by sub-proof #344.
% 184.94/29.51  | | | | 
% 184.94/29.51  | | | Case 2:
% 184.94/29.51  | | | | 
% 184.94/29.51  | | | |   (24)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3)
% 184.94/29.51  | | | |           = e1)
% 184.94/29.51  | | | | 
% 184.94/29.51  | | | | REF_CLOSE: (1), (4), (9), (10), (11), (22), (24) are inconsistent by
% 184.94/29.51  | | | |            sub-proof #1521.
% 184.94/29.51  | | | | 
% 184.94/29.51  | | | End of split
% 184.94/29.51  | | | 
% 184.94/29.51  | | Case 2:
% 184.94/29.51  | | | 
% 184.94/29.51  | | |   (25)  all_56_12 = e0 & op(e0, e3) = e0
% 184.94/29.51  | | | 
% 184.94/29.51  | | | REF_CLOSE: (8), (12), (25) are inconsistent by sub-proof #1553.
% 184.94/29.51  | | | 
% 184.94/29.51  | | End of split
% 184.94/29.51  | | 
% 184.94/29.51  | End of split
% 184.94/29.51  | 
% 184.94/29.51  End of proof
% 184.94/29.51  
% 184.94/29.51  Sub-proof #342 shows that the following formulas are inconsistent:
% 184.94/29.51  ----------------------------------------------------------------
% 184.94/29.51    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 184.94/29.51    (2)   ~ (all_4_2 = e0)
% 184.94/29.51    (3)  all_56_10 = e2
% 184.94/29.51    (4)   ~ (e3 = e0)
% 184.94/29.51    (5)  op(e2, e1) = e1
% 184.94/29.51    (6)   ~ (e3 = e1)
% 184.94/29.51    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.51    (8)   ~ (e3 = e2)
% 184.94/29.51    (9)  op(e3, e3) = all_4_2
% 184.94/29.51    (10)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.94/29.51          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.94/29.51    (11)  op(e2, e2) = e0
% 184.94/29.51  
% 184.94/29.51  Begin of proof
% 184.94/29.51  | 
% 184.94/29.51  | BETA: splitting (1) gives:
% 184.94/29.51  | 
% 184.94/29.51  | Case 1:
% 184.94/29.51  | | 
% 184.94/29.51  | |   (12)  all_56_0 = e0 & op(e3, e3) = e0
% 184.94/29.51  | | 
% 184.94/29.51  | | ALPHA: (12) implies:
% 184.94/29.51  | |   (13)  op(e3, e3) = e0
% 184.94/29.51  | | 
% 184.94/29.51  | | REF_CLOSE: (2), (7), (9), (13) are inconsistent by sub-proof #1624.
% 184.94/29.51  | | 
% 184.94/29.51  | Case 2:
% 184.94/29.51  | | 
% 184.94/29.51  | |   (14)  all_56_2 = e0 & op(e2, e3) = e0
% 184.94/29.51  | | 
% 184.94/29.51  | | ALPHA: (14) implies:
% 184.94/29.51  | |   (15)  all_56_2 = e0
% 184.94/29.51  | | 
% 184.94/29.51  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (10), (11), (15) are inconsistent
% 184.94/29.51  | |            by sub-proof #604.
% 184.94/29.51  | | 
% 184.94/29.51  | End of split
% 184.94/29.51  | 
% 184.94/29.51  End of proof
% 184.94/29.51  
% 184.94/29.51  Sub-proof #343 shows that the following formulas are inconsistent:
% 184.94/29.51  ----------------------------------------------------------------
% 184.94/29.51    (1)  all_56_6 = e2
% 184.94/29.51    (2)  op(e0, e3) = e3
% 184.94/29.51    (3)  all_56_10 = e2
% 184.94/29.51    (4)   ~ (e3 = e0)
% 184.94/29.51    (5)  op(e2, e1) = e1
% 184.94/29.51    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 184.94/29.51         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 184.94/29.51    (7)   ~ (e3 = e1)
% 184.94/29.51    (8)  op(e0, e3) = all_52_3
% 184.94/29.51    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.51    (10)   ~ (e3 = e2)
% 184.94/29.51    (11)  op(e3, e3) = all_4_2
% 184.94/29.51    (12)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.94/29.51          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.94/29.51    (13)   ~ (e2 = e1)
% 184.94/29.51    (14)  op(e2, e2) = e0
% 184.94/29.51    (15)   ~ (all_4_2 = e1)
% 184.94/29.51  
% 184.94/29.51  Begin of proof
% 184.94/29.51  | 
% 184.94/29.51  | BETA: splitting (6) gives:
% 184.94/29.51  | 
% 184.94/29.51  | Case 1:
% 184.94/29.51  | | 
% 184.94/29.51  | |   (16)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 184.94/29.51  | |           e1)
% 184.94/29.51  | | 
% 184.94/29.51  | | REF_CLOSE: (3), (4), (5), (7), (9), (10), (11), (12), (14), (15), (16) are
% 184.94/29.51  | |            inconsistent by sub-proof #344.
% 184.94/29.51  | | 
% 184.94/29.51  | Case 2:
% 184.94/29.51  | | 
% 184.94/29.51  | |   (17)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 184.94/29.51  | |           e1)
% 184.94/29.51  | | 
% 184.94/29.51  | | REF_CLOSE: (1), (2), (7), (8), (9), (13), (17) are inconsistent by sub-proof
% 184.94/29.51  | |            #451.
% 184.94/29.51  | | 
% 184.94/29.51  | End of split
% 184.94/29.51  | 
% 184.94/29.51  End of proof
% 184.94/29.51  
% 184.94/29.51  Sub-proof #344 shows that the following formulas are inconsistent:
% 184.94/29.51  ----------------------------------------------------------------
% 184.94/29.51    (1)  all_56_10 = e2
% 184.94/29.51    (2)   ~ (e3 = e0)
% 184.94/29.51    (3)  op(e2, e1) = e1
% 184.94/29.51    (4)   ~ (e3 = e1)
% 184.94/29.51    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.51    (6)   ~ (e3 = e2)
% 184.94/29.51    (7)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 184.94/29.51    (8)  op(e3, e3) = all_4_2
% 184.94/29.51    (9)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.94/29.51         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.94/29.51    (10)  op(e2, e2) = e0
% 184.94/29.51    (11)   ~ (all_4_2 = e1)
% 184.94/29.51  
% 184.94/29.51  Begin of proof
% 184.94/29.51  | 
% 184.94/29.51  | BETA: splitting (7) gives:
% 184.94/29.51  | 
% 184.94/29.51  | Case 1:
% 184.94/29.51  | | 
% 184.94/29.51  | |   (12)  all_56_0 = e1 & op(e3, e3) = e1
% 184.94/29.51  | | 
% 184.94/29.51  | | ALPHA: (12) implies:
% 184.94/29.51  | |   (13)  op(e3, e3) = e1
% 184.94/29.51  | | 
% 184.94/29.51  | | REF_CLOSE: (5), (8), (11), (13) are inconsistent by sub-proof #1525.
% 184.94/29.51  | | 
% 184.94/29.51  | Case 2:
% 184.94/29.51  | | 
% 184.94/29.51  | |   (14)  all_56_2 = e1 & op(e2, e3) = e1
% 184.94/29.51  | | 
% 184.94/29.51  | | ALPHA: (14) implies:
% 184.94/29.51  | |   (15)  all_56_2 = e1
% 184.94/29.51  | | 
% 184.94/29.51  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (9), (10), (15) are inconsistent by
% 184.94/29.51  | |            sub-proof #428.
% 184.94/29.51  | | 
% 184.94/29.51  | End of split
% 184.94/29.51  | 
% 184.94/29.51  End of proof
% 184.94/29.51  
% 184.94/29.51  Sub-proof #345 shows that the following formulas are inconsistent:
% 184.94/29.51  ----------------------------------------------------------------
% 184.94/29.51    (1)  op(e0, e0) = all_6_2
% 184.94/29.51    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.94/29.51         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.94/29.51    (3)  op(e0, e3) = e3
% 184.94/29.51    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.94/29.51         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.94/29.51    (5)   ~ (all_6_2 = e1)
% 184.94/29.51    (6)  op(e1, e1) = e3
% 184.94/29.51    (7)   ~ (e1 = e0)
% 184.94/29.51    (8)   ~ (all_52_9 = e0)
% 184.94/29.51    (9)   ~ (e3 = e0)
% 184.94/29.51    (10)  op(e2, e1) = e1
% 184.94/29.51    (11)  op(e2, e1) = all_52_9
% 184.94/29.51    (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.94/29.51          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.94/29.51    (13)   ~ (all_52_6 = e0)
% 184.94/29.51    (14)   ~ (e2 = e0)
% 184.94/29.51    (15)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.94/29.51          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.94/29.51    (16)   ~ (e3 = e1)
% 184.94/29.51    (17)   ~ (all_52_4 = all_52_7)
% 184.94/29.51    (18)   ~ (all_6_2 = e2)
% 184.94/29.51    (19)  all_56_14 = e2
% 184.94/29.51    (20)  op(e0, e3) = all_52_3
% 184.94/29.51    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.51            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.51    (22)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.94/29.51          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.94/29.51    (23)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 184.94/29.51          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 184.94/29.51    (24)  all_56_3 = e0
% 184.94/29.51    (25)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 184.94/29.51          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 184.94/29.51    (26)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 184.94/29.51          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 184.94/29.51    (27)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.94/29.51          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.94/29.51            e1)
% 184.94/29.51    (28)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 184.94/29.51          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.94/29.51    (29)   ~ (e3 = e2)
% 184.94/29.51    (30)  op(e3, e3) = all_4_2
% 184.94/29.51    (31)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.94/29.51          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.94/29.51    (32)  op(e3, e2) = all_52_4
% 184.94/29.51    (33)  all_56_4 = e0
% 184.94/29.51    (34)  all_56_2 = e2 & op(e2, e3) = e2
% 184.94/29.51    (35)  op(e1, e2) = all_52_6
% 184.94/29.51    (36)  all_56_8 = e3
% 184.94/29.51    (37)  op(e3, e3) = e3
% 184.94/29.51    (38)   ~ (e2 = e1)
% 184.94/29.51    (39)  op(e0, e2) = all_52_7
% 184.94/29.51    (40)  op(e2, e2) = e0
% 184.94/29.51    (41)   ~ (all_4_2 = e1)
% 184.94/29.51  
% 184.94/29.51  Begin of proof
% 184.94/29.51  | 
% 184.94/29.51  | ALPHA: (34) implies:
% 184.94/29.51  |   (42)  all_56_2 = e2
% 184.94/29.51  | 
% 184.94/29.51  | BETA: splitting (31) gives:
% 184.94/29.51  | 
% 184.94/29.51  | Case 1:
% 184.94/29.51  | | 
% 184.94/29.51  | |   (43)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 184.94/29.51  | |           e3)
% 184.94/29.51  | | 
% 184.94/29.51  | | REF_CLOSE: (9), (21), (29), (40), (42), (43) are inconsistent by sub-proof
% 184.94/29.51  | |            #384.
% 184.94/29.51  | | 
% 184.94/29.51  | Case 2:
% 184.94/29.51  | | 
% 184.94/29.51  | |   (44)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 184.94/29.51  | |           e3)
% 184.94/29.51  | | 
% 184.94/29.51  | | BETA: splitting (44) gives:
% 184.94/29.51  | | 
% 184.94/29.51  | | Case 1:
% 184.94/29.51  | | | 
% 184.94/29.51  | | |   (45)  all_56_5 = e3 & op(e2, e1) = e3
% 184.94/29.51  | | | 
% 184.94/29.51  | | | ALPHA: (45) implies:
% 184.94/29.51  | | |   (46)  op(e2, e1) = e3
% 184.94/29.51  | | | 
% 184.94/29.51  | | | REF_CLOSE: (10), (16), (21), (46) are inconsistent by sub-proof #1456.
% 184.94/29.51  | | | 
% 184.94/29.51  | | Case 2:
% 184.94/29.51  | | | 
% 184.94/29.51  | | |   (47)  all_56_10 = e3 & op(e2, e0) = e3
% 184.94/29.51  | | | 
% 184.94/29.51  | | | ALPHA: (47) implies:
% 184.94/29.51  | | |   (48)  all_56_10 = e3
% 184.94/29.51  | | | 
% 184.94/29.51  | | | BETA: splitting (4) gives:
% 184.94/29.51  | | | 
% 184.94/29.51  | | | Case 1:
% 184.94/29.51  | | | | 
% 184.94/29.51  | | | |   (49)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2)
% 184.94/29.51  | | | |           = e3)
% 184.94/29.51  | | | | 
% 184.94/29.51  | | | | REF_CLOSE: (7), (8), (9), (10), (11), (14), (16), (19), (21), (22),
% 184.94/29.51  | | | |            (23), (24), (26), (29), (30), (31), (33), (36), (37), (38),
% 184.94/29.51  | | | |            (40), (41), (42), (48), (49) are inconsistent by sub-proof
% 184.94/29.51  | | | |            #350.
% 184.94/29.51  | | | | 
% 184.94/29.51  | | | Case 2:
% 184.94/29.51  | | | | 
% 184.94/29.51  | | | |   (50)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2)
% 184.94/29.51  | | | |           = e3)
% 184.94/29.51  | | | | 
% 184.94/29.51  | | | | BETA: splitting (50) gives:
% 184.94/29.51  | | | | 
% 184.94/29.51  | | | | Case 1:
% 184.94/29.51  | | | | | 
% 184.94/29.51  | | | | |   (51)  all_56_7 = e3 & op(e1, e2) = e3
% 184.94/29.51  | | | | | 
% 184.94/29.51  | | | | | ALPHA: (51) implies:
% 184.94/29.51  | | | | |   (52)  all_56_7 = e3
% 184.94/29.51  | | | | | 
% 184.94/29.51  | | | | | BETA: splitting (15) gives:
% 184.94/29.51  | | | | | 
% 184.94/29.51  | | | | | Case 1:
% 184.94/29.51  | | | | | | 
% 184.94/29.51  | | | | | |   (53)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2,
% 184.94/29.51  | | | | | |             e2) = e2)
% 184.94/29.51  | | | | | | 
% 184.94/29.51  | | | | | | BETA: splitting (53) gives:
% 184.94/29.51  | | | | | | 
% 184.94/29.51  | | | | | | Case 1:
% 184.94/29.51  | | | | | | | 
% 184.94/29.51  | | | | | | |   (54)  all_56_1 = e2 & op(e3, e2) = e2
% 184.94/29.51  | | | | | | | 
% 184.94/29.51  | | | | | | | ALPHA: (54) implies:
% 184.94/29.51  | | | | | | |   (55)  all_56_1 = e2
% 184.94/29.51  | | | | | | | 
% 184.94/29.51  | | | | | | | REF_CLOSE: (1), (2), (6), (7), (8), (9), (10), (11), (12), (13),
% 184.94/29.51  | | | | | | |            (14), (16), (18), (19), (21), (22), (23), (24), (28),
% 184.94/29.51  | | | | | | |            (29), (30), (31), (35), (36), (38), (41), (42), (48),
% 184.94/29.51  | | | | | | |            (52), (55) are inconsistent by sub-proof #349.
% 184.94/29.51  | | | | | | | 
% 184.94/29.51  | | | | | | Case 2:
% 184.94/29.51  | | | | | | | 
% 184.94/29.51  | | | | | | |   (56)  all_56_3 = e2 & op(e2, e2) = e2
% 184.94/29.51  | | | | | | | 
% 184.94/29.51  | | | | | | | ALPHA: (56) implies:
% 184.94/29.51  | | | | | | |   (57)  op(e2, e2) = e2
% 184.94/29.51  | | | | | | | 
% 184.94/29.51  | | | | | | | REF_CLOSE: (14), (21), (40), (57) are inconsistent by sub-proof
% 184.94/29.51  | | | | | | |            #1586.
% 184.94/29.51  | | | | | | | 
% 184.94/29.51  | | | | | | End of split
% 184.94/29.51  | | | | | | 
% 184.94/29.51  | | | | | Case 2:
% 184.94/29.51  | | | | | | 
% 184.94/29.51  | | | | | |   (58)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0,
% 184.94/29.51  | | | | | |             e2) = e2)
% 184.94/29.51  | | | | | | 
% 184.94/29.51  | | | | | | BETA: splitting (58) gives:
% 184.94/29.51  | | | | | | 
% 184.94/29.51  | | | | | | Case 1:
% 184.94/29.51  | | | | | | | 
% 184.94/29.52  | | | | | | |   (59)  all_56_7 = e2 & op(e1, e2) = e2
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | ALPHA: (59) implies:
% 184.94/29.52  | | | | | | |   (60)  all_56_7 = e2
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | REF_CLOSE: (29), (52), (60) are inconsistent by sub-proof #1430.
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | Case 2:
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | |   (61)  all_56_13 = e2 & op(e0, e2) = e2
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | ALPHA: (61) implies:
% 184.94/29.52  | | | | | | |   (62)  all_56_13 = e2
% 184.94/29.52  | | | | | | |   (63)  op(e0, e2) = e2
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (10), (12), (13),
% 184.94/29.52  | | | | | | |            (14), (16), (17), (18), (19), (20), (21), (24), (25),
% 184.94/29.52  | | | | | | |            (26), (27), (28), (29), (31), (32), (33), (35), (36),
% 184.94/29.52  | | | | | | |            (37), (38), (39), (42), (48), (52), (62), (63) are
% 184.94/29.52  | | | | | | |            inconsistent by sub-proof #346.
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | End of split
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | End of split
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | Case 2:
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | |   (64)  all_56_13 = e3 & op(e0, e2) = e3
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | ALPHA: (64) implies:
% 184.94/29.52  | | | | |   (65)  all_56_13 = e3
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | BETA: splitting (27) gives:
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | Case 1:
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | |   (66)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 &
% 184.94/29.52  | | | | | |           op(e0, e2) = e1)
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | | BETA: splitting (66) gives:
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | | Case 1:
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | |   (67)  all_56_12 = e1 & op(e0, e3) = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | ALPHA: (67) implies:
% 184.94/29.52  | | | | | | |   (68)  op(e0, e3) = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | REF_CLOSE: (3), (16), (20), (21), (68) are inconsistent by
% 184.94/29.52  | | | | | | |            sub-proof #1529.
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | Case 2:
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | |   (69)  all_56_13 = e1 & op(e0, e2) = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | ALPHA: (69) implies:
% 184.94/29.52  | | | | | | |   (70)  all_56_13 = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | COMBINE_EQS: (65), (70) imply:
% 184.94/29.52  | | | | | | |   (71)  e3 = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | COMBINE_EQS: (48), (71) imply:
% 184.94/29.52  | | | | | | |   (72)  all_56_10 = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | REF_CLOSE: (9), (10), (16), (21), (24), (29), (31), (42), (72) are
% 184.94/29.52  | | | | | | |            inconsistent by sub-proof #787.
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | End of split
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | Case 2:
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | |   (73)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 184.94/29.52  | | | | | |           op(e0, e0) = e1)
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | | REF_CLOSE: (1), (5), (19), (21), (38), (73) are inconsistent by
% 184.94/29.52  | | | | | |            sub-proof #1458.
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | End of split
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | End of split
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | End of split
% 184.94/29.52  | | | 
% 184.94/29.52  | | End of split
% 184.94/29.52  | | 
% 184.94/29.52  | End of split
% 184.94/29.52  | 
% 184.94/29.52  End of proof
% 184.94/29.52  
% 184.94/29.52  Sub-proof #346 shows that the following formulas are inconsistent:
% 184.94/29.52  ----------------------------------------------------------------
% 184.94/29.52    (1)  op(e0, e0) = all_6_2
% 184.94/29.52    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.94/29.52         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.94/29.52    (3)  op(e0, e3) = e3
% 184.94/29.52    (4)  all_56_10 = e3
% 184.94/29.52    (5)   ~ (all_6_2 = e1)
% 184.94/29.52    (6)  op(e1, e1) = e3
% 184.94/29.52    (7)   ~ (e1 = e0)
% 184.94/29.52    (8)  op(e0, e2) = e2
% 184.94/29.52    (9)  all_56_2 = e2
% 184.94/29.52    (10)   ~ (e3 = e0)
% 184.94/29.52    (11)  op(e2, e1) = e1
% 184.94/29.52    (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.94/29.52          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.94/29.52    (13)   ~ (all_52_6 = e0)
% 184.94/29.52    (14)   ~ (e2 = e0)
% 184.94/29.52    (15)   ~ (e3 = e1)
% 184.94/29.52    (16)   ~ (all_52_4 = all_52_7)
% 184.94/29.52    (17)   ~ (all_6_2 = e2)
% 184.94/29.52    (18)  all_56_14 = e2
% 184.94/29.52    (19)  op(e0, e3) = all_52_3
% 184.94/29.52    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.52            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.52    (21)  all_56_3 = e0
% 184.94/29.52    (22)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 184.94/29.52          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 184.94/29.52    (23)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 184.94/29.52          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 184.94/29.52    (24)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.94/29.52          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.94/29.52            e1)
% 184.94/29.52    (25)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 184.94/29.52          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.94/29.52    (26)   ~ (e3 = e2)
% 184.94/29.52    (27)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.94/29.52          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.94/29.52    (28)  op(e3, e2) = all_52_4
% 184.94/29.52    (29)  all_56_4 = e0
% 184.94/29.52    (30)  op(e1, e2) = all_52_6
% 184.94/29.52    (31)  all_56_8 = e3
% 184.94/29.52    (32)  op(e3, e3) = e3
% 184.94/29.52    (33)   ~ (e2 = e1)
% 184.94/29.52    (34)  all_56_13 = e2
% 184.94/29.52    (35)  op(e0, e2) = all_52_7
% 184.94/29.52    (36)  all_56_7 = e3
% 184.94/29.52  
% 184.94/29.52  Begin of proof
% 184.94/29.52  | 
% 184.94/29.52  | BETA: splitting (23) gives:
% 184.94/29.52  | 
% 184.94/29.52  | Case 1:
% 184.94/29.52  | | 
% 184.94/29.52  | |   (37)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 184.94/29.52  | |           e2)
% 184.94/29.52  | | 
% 184.94/29.52  | | REF_CLOSE: (8), (16), (20), (26), (28), (32), (35), (37) are inconsistent by
% 184.94/29.52  | |            sub-proof #743.
% 184.94/29.52  | | 
% 184.94/29.52  | Case 2:
% 184.94/29.52  | | 
% 184.94/29.52  | |   (38)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 184.94/29.52  | |           e2)
% 184.94/29.52  | | 
% 184.94/29.52  | | BETA: splitting (38) gives:
% 184.94/29.52  | | 
% 184.94/29.52  | | Case 1:
% 184.94/29.52  | | | 
% 184.94/29.52  | | |   (39)  all_56_4 = e2 & op(e3, e1) = e2
% 184.94/29.52  | | | 
% 184.94/29.52  | | | ALPHA: (39) implies:
% 184.94/29.52  | | |   (40)  all_56_4 = e2
% 184.94/29.52  | | | 
% 184.94/29.52  | | | REF_CLOSE: (14), (29), (40) are inconsistent by sub-proof #1394.
% 184.94/29.52  | | | 
% 184.94/29.52  | | Case 2:
% 184.94/29.52  | | | 
% 184.94/29.52  | | |   (41)  all_56_9 = e2 & op(e3, e0) = e2
% 184.94/29.52  | | | 
% 184.94/29.52  | | | ALPHA: (41) implies:
% 184.94/29.52  | | |   (42)  all_56_9 = e2
% 184.94/29.52  | | | 
% 184.94/29.52  | | | BETA: splitting (22) gives:
% 184.94/29.52  | | | 
% 184.94/29.52  | | | Case 1:
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | |   (43)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2)
% 184.94/29.52  | | | |           = e2)
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | BETA: splitting (43) gives:
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | Case 1:
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | |   (44)  all_56_6 = e2 & op(e1, e3) = e2
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | ALPHA: (44) implies:
% 184.94/29.52  | | | | |   (45)  all_56_6 = e2
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | BETA: splitting (24) gives:
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | Case 1:
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | |   (46)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 &
% 184.94/29.52  | | | | | |           op(e0, e2) = e1)
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | | BETA: splitting (46) gives:
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | | Case 1:
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | |   (47)  all_56_12 = e1 & op(e0, e3) = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | ALPHA: (47) implies:
% 184.94/29.52  | | | | | | |   (48)  op(e0, e3) = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | REF_CLOSE: (3), (15), (19), (20), (48) are inconsistent by
% 184.94/29.52  | | | | | | |            sub-proof #1529.
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | Case 2:
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | |   (49)  all_56_13 = e1 & op(e0, e2) = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | ALPHA: (49) implies:
% 184.94/29.52  | | | | | | |   (50)  all_56_13 = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | COMBINE_EQS: (34), (50) imply:
% 184.94/29.52  | | | | | | |   (51)  e2 = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | REF_CLOSE: (1), (4), (10), (12), (13), (14), (17), (20), (25),
% 184.94/29.52  | | | | | | |            (26), (30), (31), (33), (42), (45), (51) are
% 184.94/29.52  | | | | | | |            inconsistent by sub-proof #348.
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | End of split
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | Case 2:
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | |   (52)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 184.94/29.52  | | | | | |           op(e0, e0) = e1)
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | | BETA: splitting (52) gives:
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | | Case 1:
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | |   (53)  all_56_14 = e1 & op(e0, e1) = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | ALPHA: (53) implies:
% 184.94/29.52  | | | | | | |   (54)  all_56_14 = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | COMBINE_EQS: (18), (54) imply:
% 184.94/29.52  | | | | | | |   (55)  e2 = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | REF_CLOSE: (1), (4), (10), (12), (13), (14), (17), (20), (25),
% 184.94/29.52  | | | | | | |            (26), (30), (31), (33), (42), (45), (55) are
% 184.94/29.52  | | | | | | |            inconsistent by sub-proof #348.
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | Case 2:
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | |   (56)  all_56_15 = e1 & op(e0, e0) = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | ALPHA: (56) implies:
% 184.94/29.52  | | | | | | |   (57)  op(e0, e0) = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | REF_CLOSE: (1), (5), (20), (57) are inconsistent by sub-proof
% 184.94/29.52  | | | | | | |            #1516.
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | End of split
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | End of split
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | Case 2:
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | |   (58)  all_56_7 = e2 & op(e1, e2) = e2
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | ALPHA: (58) implies:
% 184.94/29.52  | | | | |   (59)  all_56_7 = e2
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | REF_CLOSE: (26), (36), (59) are inconsistent by sub-proof #1430.
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | End of split
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | Case 2:
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | |   (60)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0)
% 184.94/29.52  | | | |           = e2)
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | BETA: splitting (60) gives:
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | Case 1:
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | |   (61)  all_56_8 = e2 & op(e1, e1) = e2
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | ALPHA: (61) implies:
% 184.94/29.52  | | | | |   (62)  op(e1, e1) = e2
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | REF_CLOSE: (6), (20), (26), (62) are inconsistent by sub-proof #1164.
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | Case 2:
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | |   (63)  all_56_11 = e2 & op(e1, e0) = e2
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | ALPHA: (63) implies:
% 184.94/29.52  | | | | |   (64)  all_56_11 = e2
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | BETA: splitting (2) gives:
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | Case 1:
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | |   (65)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1,
% 184.94/29.52  | | | | | |             e2) = e1)
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | | BETA: splitting (65) gives:
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | | Case 1:
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | |   (66)  all_56_6 = e1 & op(e1, e3) = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | ALPHA: (66) implies:
% 184.94/29.52  | | | | | | |   (67)  all_56_6 = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | REF_CLOSE: (7), (10), (12), (13), (14), (20), (30), (31), (64),
% 184.94/29.52  | | | | | | |            (67) are inconsistent by sub-proof #347.
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | Case 2:
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | |   (68)  all_56_7 = e1 & op(e1, e2) = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | ALPHA: (68) implies:
% 184.94/29.52  | | | | | | |   (69)  all_56_7 = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | COMBINE_EQS: (36), (69) imply:
% 184.94/29.52  | | | | | | |   (70)  e3 = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | SIMP: (70) implies:
% 184.94/29.52  | | | | | | |   (71)  e3 = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | COMBINE_EQS: (4), (71) imply:
% 184.94/29.52  | | | | | | |   (72)  all_56_10 = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | REF_CLOSE: (9), (10), (11), (15), (20), (21), (26), (27), (72) are
% 184.94/29.52  | | | | | | |            inconsistent by sub-proof #787.
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | End of split
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | Case 2:
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | |   (73)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1,
% 184.94/29.52  | | | | | |             e0) = e1)
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | | BETA: splitting (73) gives:
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | | Case 1:
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | |   (74)  all_56_8 = e1 & op(e1, e1) = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | ALPHA: (74) implies:
% 184.94/29.52  | | | | | | |   (75)  op(e1, e1) = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | REF_CLOSE: (6), (15), (20), (75) are inconsistent by sub-proof
% 184.94/29.52  | | | | | | |            #1541.
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | Case 2:
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | |   (76)  all_56_11 = e1 & op(e1, e0) = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | ALPHA: (76) implies:
% 184.94/29.52  | | | | | | |   (77)  all_56_11 = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | COMBINE_EQS: (64), (77) imply:
% 184.94/29.52  | | | | | | |   (78)  e2 = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | COMBINE_EQS: (42), (78) imply:
% 184.94/29.52  | | | | | | |   (79)  all_56_9 = e1
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | | REF_CLOSE: (1), (4), (17), (20), (25), (26), (33), (77), (79) are
% 184.94/29.52  | | | | | | |            inconsistent by sub-proof #954.
% 184.94/29.52  | | | | | | | 
% 184.94/29.52  | | | | | | End of split
% 184.94/29.52  | | | | | | 
% 184.94/29.52  | | | | | End of split
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | End of split
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | End of split
% 184.94/29.52  | | | 
% 184.94/29.52  | | End of split
% 184.94/29.52  | | 
% 184.94/29.52  | End of split
% 184.94/29.52  | 
% 184.94/29.52  End of proof
% 184.94/29.52  
% 184.94/29.52  Sub-proof #347 shows that the following formulas are inconsistent:
% 184.94/29.52  ----------------------------------------------------------------
% 184.94/29.52    (1)   ~ (e1 = e0)
% 184.94/29.52    (2)   ~ (e3 = e0)
% 184.94/29.52    (3)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.94/29.52         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.94/29.52    (4)   ~ (all_52_6 = e0)
% 184.94/29.52    (5)   ~ (e2 = e0)
% 184.94/29.52    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.52    (7)  all_56_11 = e2
% 184.94/29.52    (8)  op(e1, e2) = all_52_6
% 184.94/29.52    (9)  all_56_8 = e3
% 184.94/29.52    (10)  all_56_6 = e1
% 184.94/29.52  
% 184.94/29.52  Begin of proof
% 184.94/29.52  | 
% 184.94/29.52  | BETA: splitting (3) gives:
% 184.94/29.52  | 
% 184.94/29.52  | Case 1:
% 184.94/29.52  | | 
% 184.94/29.52  | |   (11)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 184.94/29.52  | |           e0)
% 184.94/29.52  | | 
% 184.94/29.52  | | REF_CLOSE: (1), (4), (6), (8), (10), (11) are inconsistent by sub-proof
% 184.94/29.52  | |            #469.
% 184.94/29.52  | | 
% 184.94/29.52  | Case 2:
% 184.94/29.52  | | 
% 184.94/29.52  | |   (12)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 184.94/29.52  | |           e0)
% 184.94/29.52  | | 
% 184.94/29.52  | | BETA: splitting (12) gives:
% 184.94/29.52  | | 
% 184.94/29.52  | | Case 1:
% 184.94/29.52  | | | 
% 184.94/29.52  | | |   (13)  all_56_8 = e0 & op(e1, e1) = e0
% 184.94/29.52  | | | 
% 184.94/29.52  | | | REF_CLOSE: (2), (9), (13) are inconsistent by sub-proof #418.
% 184.94/29.52  | | | 
% 184.94/29.52  | | Case 2:
% 184.94/29.52  | | | 
% 184.94/29.52  | | |   (14)  all_56_11 = e0 & op(e1, e0) = e0
% 184.94/29.52  | | | 
% 184.94/29.52  | | | REF_CLOSE: (5), (7), (14) are inconsistent by sub-proof #1451.
% 184.94/29.52  | | | 
% 184.94/29.52  | | End of split
% 184.94/29.52  | | 
% 184.94/29.52  | End of split
% 184.94/29.52  | 
% 184.94/29.52  End of proof
% 184.94/29.52  
% 184.94/29.52  Sub-proof #348 shows that the following formulas are inconsistent:
% 184.94/29.52  ----------------------------------------------------------------
% 184.94/29.52    (1)  op(e0, e0) = all_6_2
% 184.94/29.52    (2)  all_56_6 = e2
% 184.94/29.52    (3)  all_56_10 = e3
% 184.94/29.52    (4)  all_56_9 = e2
% 184.94/29.52    (5)   ~ (e3 = e0)
% 184.94/29.52    (6)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.94/29.52         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.94/29.52    (7)   ~ (all_52_6 = e0)
% 184.94/29.52    (8)   ~ (e2 = e0)
% 184.94/29.52    (9)   ~ (all_6_2 = e2)
% 184.94/29.52    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.52            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.52    (11)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 184.94/29.52          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.94/29.52    (12)   ~ (e3 = e2)
% 184.94/29.52    (13)  op(e1, e2) = all_52_6
% 184.94/29.52    (14)  all_56_8 = e3
% 184.94/29.52    (15)   ~ (e2 = e1)
% 184.94/29.52    (16)  e2 = e1
% 184.94/29.52  
% 184.94/29.52  Begin of proof
% 184.94/29.52  | 
% 184.94/29.52  | COMBINE_EQS: (4), (16) imply:
% 184.94/29.52  |   (17)  all_56_9 = e1
% 184.94/29.52  | 
% 184.94/29.52  | BETA: splitting (6) gives:
% 184.94/29.52  | 
% 184.94/29.52  | Case 1:
% 184.94/29.52  | | 
% 184.94/29.52  | |   (18)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 184.94/29.52  | |           e0)
% 184.94/29.52  | | 
% 184.94/29.52  | | REF_CLOSE: (2), (7), (8), (10), (13), (18) are inconsistent by sub-proof
% 184.94/29.52  | |            #1168.
% 184.94/29.52  | | 
% 184.94/29.52  | Case 2:
% 184.94/29.52  | | 
% 184.94/29.52  | |   (19)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 184.94/29.52  | |           e0)
% 184.94/29.52  | | 
% 184.94/29.52  | | BETA: splitting (19) gives:
% 184.94/29.52  | | 
% 184.94/29.52  | | Case 1:
% 184.94/29.52  | | | 
% 184.94/29.52  | | |   (20)  all_56_8 = e0 & op(e1, e1) = e0
% 184.94/29.52  | | | 
% 184.94/29.52  | | | REF_CLOSE: (5), (14), (20) are inconsistent by sub-proof #416.
% 184.94/29.52  | | | 
% 184.94/29.52  | | Case 2:
% 184.94/29.52  | | | 
% 184.94/29.52  | | |   (21)  all_56_11 = e0 & op(e1, e0) = e0
% 184.94/29.52  | | | 
% 184.94/29.52  | | | ALPHA: (21) implies:
% 184.94/29.52  | | |   (22)  all_56_11 = e0
% 184.94/29.52  | | | 
% 184.94/29.52  | | | BETA: splitting (11) gives:
% 184.94/29.52  | | | 
% 184.94/29.52  | | | Case 1:
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | |   (23)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0)
% 184.94/29.52  | | | |           = e2)
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | REF_CLOSE: (3), (12), (15), (17), (23) are inconsistent by sub-proof
% 184.94/29.52  | | | |            #1501.
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | Case 2:
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | |   (24)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0,
% 184.94/29.52  | | | |             e0) = e2)
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | REF_CLOSE: (1), (8), (9), (10), (22), (24) are inconsistent by sub-proof
% 184.94/29.52  | | | |            #1499.
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | End of split
% 184.94/29.52  | | | 
% 184.94/29.52  | | End of split
% 184.94/29.52  | | 
% 184.94/29.52  | End of split
% 184.94/29.52  | 
% 184.94/29.52  End of proof
% 184.94/29.52  
% 184.94/29.52  Sub-proof #349 shows that the following formulas are inconsistent:
% 184.94/29.52  ----------------------------------------------------------------
% 184.94/29.52    (1)  op(e0, e0) = all_6_2
% 184.94/29.52    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.94/29.52         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.94/29.52    (3)  all_56_10 = e3
% 184.94/29.52    (4)  op(e1, e1) = e3
% 184.94/29.52    (5)   ~ (e1 = e0)
% 184.94/29.52    (6)   ~ (all_52_9 = e0)
% 184.94/29.52    (7)  all_56_2 = e2
% 184.94/29.52    (8)   ~ (e3 = e0)
% 184.94/29.52    (9)  op(e2, e1) = e1
% 184.94/29.52    (10)  op(e2, e1) = all_52_9
% 184.94/29.52    (11)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.94/29.52          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.94/29.52    (12)   ~ (all_52_6 = e0)
% 184.94/29.52    (13)   ~ (e2 = e0)
% 184.94/29.52    (14)   ~ (e3 = e1)
% 184.94/29.52    (15)   ~ (all_6_2 = e2)
% 184.94/29.52    (16)  all_56_14 = e2
% 184.94/29.52    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.52            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.52    (18)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.94/29.52          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.94/29.52    (19)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 184.94/29.52          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 184.94/29.52    (20)  all_56_3 = e0
% 184.94/29.52    (21)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 184.94/29.52          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.94/29.52    (22)   ~ (e3 = e2)
% 184.94/29.52    (23)  op(e3, e3) = all_4_2
% 184.94/29.52    (24)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.94/29.52          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.94/29.52    (25)  op(e1, e2) = all_52_6
% 184.94/29.52    (26)  all_56_8 = e3
% 184.94/29.52    (27)   ~ (e2 = e1)
% 184.94/29.52    (28)  all_56_1 = e2
% 184.94/29.52    (29)  all_56_7 = e3
% 184.94/29.52    (30)   ~ (all_4_2 = e1)
% 184.94/29.52  
% 184.94/29.52  Begin of proof
% 184.94/29.52  | 
% 184.94/29.52  | BETA: splitting (19) gives:
% 184.94/29.52  | 
% 184.94/29.52  | Case 1:
% 184.94/29.52  | | 
% 184.94/29.52  | |   (31)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) =
% 184.94/29.52  | |           e1)
% 184.94/29.52  | | 
% 184.94/29.52  | | BETA: splitting (31) gives:
% 184.94/29.52  | | 
% 184.94/29.52  | | Case 1:
% 184.94/29.52  | | | 
% 184.94/29.52  | | |   (32)  all_56_0 = e1 & op(e3, e3) = e1
% 184.94/29.52  | | | 
% 184.94/29.52  | | | ALPHA: (32) implies:
% 184.94/29.52  | | |   (33)  op(e3, e3) = e1
% 184.94/29.52  | | | 
% 184.94/29.52  | | | REF_CLOSE: (17), (23), (30), (33) are inconsistent by sub-proof #1525.
% 184.94/29.52  | | | 
% 184.94/29.52  | | Case 2:
% 184.94/29.52  | | | 
% 184.94/29.52  | | |   (34)  all_56_1 = e1 & op(e3, e2) = e1
% 184.94/29.52  | | | 
% 184.94/29.52  | | | ALPHA: (34) implies:
% 184.94/29.52  | | |   (35)  all_56_1 = e1
% 184.94/29.52  | | | 
% 184.94/29.52  | | | COMBINE_EQS: (28), (35) imply:
% 184.94/29.52  | | |   (36)  e2 = e1
% 184.94/29.52  | | | 
% 184.94/29.52  | | | REDUCE: (27), (36) imply:
% 184.94/29.52  | | |   (37)  $false
% 184.94/29.52  | | | 
% 184.94/29.52  | | | CLOSE: (37) is inconsistent.
% 184.94/29.52  | | | 
% 184.94/29.52  | | End of split
% 184.94/29.52  | | 
% 184.94/29.52  | Case 2:
% 184.94/29.52  | | 
% 184.94/29.52  | |   (38)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 184.94/29.52  | |           e1)
% 184.94/29.52  | | 
% 184.94/29.52  | | BETA: splitting (38) gives:
% 184.94/29.52  | | 
% 184.94/29.52  | | Case 1:
% 184.94/29.52  | | | 
% 184.94/29.52  | | |   (39)  all_56_4 = e1 & op(e3, e1) = e1
% 184.94/29.52  | | | 
% 184.94/29.52  | | | ALPHA: (39) implies:
% 184.94/29.52  | | |   (40)  all_56_4 = e1
% 184.94/29.52  | | | 
% 184.94/29.52  | | | REF_CLOSE: (5), (6), (8), (10), (13), (16), (17), (18), (26), (40) are
% 184.94/29.52  | | |            inconsistent by sub-proof #414.
% 184.94/29.52  | | | 
% 184.94/29.52  | | Case 2:
% 184.94/29.52  | | | 
% 184.94/29.52  | | |   (41)  all_56_9 = e1 & op(e3, e0) = e1
% 184.94/29.52  | | | 
% 184.94/29.52  | | | ALPHA: (41) implies:
% 184.94/29.52  | | |   (42)  all_56_9 = e1
% 184.94/29.52  | | | 
% 184.94/29.52  | | | BETA: splitting (11) gives:
% 184.94/29.52  | | | 
% 184.94/29.52  | | | Case 1:
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | |   (43)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2)
% 184.94/29.52  | | | |           = e0)
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | BETA: splitting (43) gives:
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | Case 1:
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | |   (44)  all_56_6 = e0 & op(e1, e3) = e0
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | ALPHA: (44) implies:
% 184.94/29.52  | | | | |   (45)  all_56_6 = e0
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (14), (15), (17),
% 184.94/29.52  | | | | |            (20), (21), (22), (24), (27), (29), (42), (45) are
% 184.94/29.52  | | | | |            inconsistent by sub-proof #515.
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | Case 2:
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | |   (46)  all_56_7 = e0 & op(e1, e2) = e0
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | REF_CLOSE: (12), (17), (25), (46) are inconsistent by sub-proof #1199.
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | End of split
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | Case 2:
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | |   (47)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.94/29.52  | | | |           = e0)
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | BETA: splitting (47) gives:
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | Case 1:
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | |   (48)  all_56_8 = e0 & op(e1, e1) = e0
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | REF_CLOSE: (8), (26), (48) are inconsistent by sub-proof #418.
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | Case 2:
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | |   (49)  all_56_11 = e0 & op(e1, e0) = e0
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | ALPHA: (49) implies:
% 184.94/29.52  | | | | |   (50)  all_56_11 = e0
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | | REF_CLOSE: (1), (3), (13), (15), (17), (21), (22), (27), (42), (50)
% 184.94/29.52  | | | | |            are inconsistent by sub-proof #1498.
% 184.94/29.52  | | | | | 
% 184.94/29.52  | | | | End of split
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | End of split
% 184.94/29.52  | | | 
% 184.94/29.52  | | End of split
% 184.94/29.52  | | 
% 184.94/29.52  | End of split
% 184.94/29.52  | 
% 184.94/29.52  End of proof
% 184.94/29.52  
% 184.94/29.52  Sub-proof #350 shows that the following formulas are inconsistent:
% 184.94/29.52  ----------------------------------------------------------------
% 184.94/29.52    (1)  all_56_10 = e3
% 184.94/29.52    (2)   ~ (e1 = e0)
% 184.94/29.52    (3)   ~ (all_52_9 = e0)
% 184.94/29.52    (4)  all_56_2 = e2
% 184.94/29.52    (5)   ~ (e3 = e0)
% 184.94/29.52    (6)  op(e2, e1) = e1
% 184.94/29.52    (7)  op(e2, e1) = all_52_9
% 184.94/29.52    (8)   ~ (e2 = e0)
% 184.94/29.52    (9)   ~ (e3 = e1)
% 184.94/29.52    (10)  all_56_14 = e2
% 184.94/29.52    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.52            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.52    (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.94/29.52          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.94/29.52    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 184.94/29.52          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 184.94/29.52    (14)  all_56_3 = e0
% 184.94/29.52    (15)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 184.94/29.52          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 184.94/29.52    (16)   ~ (e3 = e2)
% 184.94/29.52    (17)  op(e3, e3) = all_4_2
% 184.94/29.52    (18)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.94/29.52          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.94/29.52    (19)  all_56_4 = e0
% 184.94/29.52    (20)  all_56_8 = e3
% 184.94/29.52    (21)  op(e3, e3) = e3
% 184.94/29.52    (22)   ~ (e2 = e1)
% 184.94/29.52    (23)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 184.94/29.52    (24)  op(e2, e2) = e0
% 184.94/29.52    (25)   ~ (all_4_2 = e1)
% 184.94/29.52  
% 184.94/29.52  Begin of proof
% 184.94/29.52  | 
% 184.94/29.52  | BETA: splitting (23) gives:
% 184.94/29.52  | 
% 184.94/29.52  | Case 1:
% 184.94/29.52  | | 
% 184.94/29.52  | |   (26)  all_56_1 = e3 & op(e3, e2) = e3
% 184.94/29.52  | | 
% 184.94/29.52  | | ALPHA: (26) implies:
% 184.94/29.52  | |   (27)  all_56_1 = e3
% 184.94/29.52  | | 
% 184.94/29.52  | | BETA: splitting (13) gives:
% 184.94/29.52  | | 
% 184.94/29.52  | | Case 1:
% 184.94/29.52  | | | 
% 184.94/29.52  | | |   (28)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) =
% 184.94/29.52  | | |           e1)
% 184.94/29.52  | | | 
% 184.94/29.52  | | | BETA: splitting (28) gives:
% 184.94/29.52  | | | 
% 184.94/29.52  | | | Case 1:
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | |   (29)  all_56_0 = e1 & op(e3, e3) = e1
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | ALPHA: (29) implies:
% 184.94/29.52  | | | |   (30)  op(e3, e3) = e1
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | REF_CLOSE: (11), (17), (25), (30) are inconsistent by sub-proof #1525.
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | Case 2:
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | |   (31)  all_56_1 = e1 & op(e3, e2) = e1
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | ALPHA: (31) implies:
% 184.94/29.52  | | | |   (32)  all_56_1 = e1
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | COMBINE_EQS: (27), (32) imply:
% 184.94/29.52  | | | |   (33)  e3 = e1
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | COMBINE_EQS: (1), (33) imply:
% 184.94/29.52  | | | |   (34)  all_56_10 = e1
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | REF_CLOSE: (4), (5), (6), (9), (11), (14), (16), (18), (34) are
% 184.94/29.52  | | | |            inconsistent by sub-proof #787.
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | End of split
% 184.94/29.52  | | | 
% 184.94/29.52  | | Case 2:
% 184.94/29.52  | | | 
% 184.94/29.52  | | |   (35)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 184.94/29.52  | | |           e1)
% 184.94/29.52  | | | 
% 184.94/29.52  | | | BETA: splitting (35) gives:
% 184.94/29.52  | | | 
% 184.94/29.52  | | | Case 1:
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | |   (36)  all_56_4 = e1 & op(e3, e1) = e1
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | ALPHA: (36) implies:
% 184.94/29.52  | | | |   (37)  all_56_4 = e1
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | REF_CLOSE: (2), (3), (5), (7), (8), (10), (11), (12), (20), (37) are
% 184.94/29.52  | | | |            inconsistent by sub-proof #414.
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | Case 2:
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | |   (38)  all_56_9 = e1 & op(e3, e0) = e1
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | ALPHA: (38) implies:
% 184.94/29.52  | | | |   (39)  all_56_9 = e1
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | | REF_CLOSE: (8), (11), (15), (16), (19), (21), (22), (27), (39) are
% 184.94/29.52  | | | |            inconsistent by sub-proof #1128.
% 184.94/29.52  | | | | 
% 184.94/29.52  | | | End of split
% 184.94/29.52  | | | 
% 184.94/29.52  | | End of split
% 184.94/29.52  | | 
% 184.94/29.52  | Case 2:
% 184.94/29.52  | | 
% 184.94/29.52  | |   (40)  all_56_3 = e3 & op(e2, e2) = e3
% 184.94/29.52  | | 
% 184.94/29.52  | | ALPHA: (40) implies:
% 184.94/29.52  | |   (41)  op(e2, e2) = e3
% 184.94/29.52  | | 
% 184.94/29.52  | | REF_CLOSE: (5), (11), (24), (41) are inconsistent by sub-proof #1015.
% 184.94/29.52  | | 
% 184.94/29.52  | End of split
% 184.94/29.52  | 
% 184.94/29.52  End of proof
% 184.94/29.52  
% 184.94/29.52  Sub-proof #351 shows that the following formulas are inconsistent:
% 184.94/29.52  ----------------------------------------------------------------
% 184.94/29.52    (1)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 184.94/29.52           e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) &
% 184.94/29.52         op(e3, all_57_16) = all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 184.94/29.52           all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 184.94/29.52         & op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 184.94/29.52         $i(all_57_0) & $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 184.94/29.52         $i(all_57_18) & $i(all_57_28)
% 184.94/29.52    (2)  all_57_17 = e0
% 184.94/29.52    (3)   ~ (e3 = e0)
% 184.94/29.52  
% 184.94/29.52  Begin of proof
% 184.94/29.52  | 
% 184.94/29.52  | ALPHA: (1) implies:
% 184.94/29.52  |   (4)  all_57_17 = e3
% 184.94/29.52  | 
% 184.94/29.52  | COMBINE_EQS: (2), (4) imply:
% 184.94/29.52  |   (5)  e3 = e0
% 184.94/29.52  | 
% 184.94/29.52  | SIMP: (5) implies:
% 184.94/29.52  |   (6)  e3 = e0
% 184.94/29.52  | 
% 184.94/29.52  | REDUCE: (3), (6) imply:
% 184.94/29.52  |   (7)  $false
% 184.94/29.52  | 
% 184.94/29.52  | CLOSE: (7) is inconsistent.
% 184.94/29.52  | 
% 184.94/29.52  End of proof
% 184.94/29.52  
% 184.94/29.52  Sub-proof #352 shows that the following formulas are inconsistent:
% 184.94/29.52  ----------------------------------------------------------------
% 184.94/29.52    (1)  op(e1, e1) = e3
% 184.94/29.52    (2)   ~ (e1 = e0)
% 184.94/29.52    (3)   ~ (all_52_9 = e0)
% 184.94/29.52    (4)   ~ (e3 = e0)
% 184.94/29.52    (5)  op(e2, e1) = all_52_9
% 184.94/29.52    (6)   ~ (e2 = e0)
% 184.94/29.52    (7)   ~ (e3 = e1)
% 184.94/29.52    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.52    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.94/29.52         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.94/29.52    (10)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 184.94/29.52    (11)   ~ (e3 = e2)
% 184.94/29.52    (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 184.94/29.52          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.94/29.52    (13)   ~ (all_52_9 = e3)
% 184.94/29.52    (14)   ~ (e2 = e1)
% 184.94/29.52    (15)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.94/29.52          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.94/29.52  
% 184.94/29.52  Begin of proof
% 184.94/29.52  | 
% 184.94/29.52  | BETA: splitting (10) gives:
% 184.94/29.52  | 
% 184.94/29.52  | Case 1:
% 184.94/29.52  | | 
% 184.94/29.52  | |   (16)  all_56_4 = e3 & op(e3, e1) = e3
% 184.94/29.52  | | 
% 184.94/29.52  | | ALPHA: (16) implies:
% 184.94/29.52  | |   (17)  all_56_4 = e3
% 184.94/29.52  | | 
% 184.94/29.52  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (14),
% 184.94/29.52  | |            (15), (17) are inconsistent by sub-proof #425.
% 184.94/29.52  | | 
% 184.94/29.52  | Case 2:
% 184.94/29.52  | | 
% 184.94/29.52  | |   (18)  all_56_5 = e3 & op(e2, e1) = e3
% 184.94/29.52  | | 
% 184.94/29.52  | | ALPHA: (18) implies:
% 184.94/29.52  | |   (19)  op(e2, e1) = e3
% 184.94/29.52  | | 
% 184.94/29.52  | | REF_CLOSE: (5), (8), (13), (19) are inconsistent by sub-proof #1449.
% 184.94/29.52  | | 
% 184.94/29.52  | End of split
% 184.94/29.52  | 
% 184.94/29.52  End of proof
% 184.94/29.52  
% 184.94/29.52  Sub-proof #353 shows that the following formulas are inconsistent:
% 184.94/29.52  ----------------------------------------------------------------
% 184.94/29.52    (1)  op(e1, e1) = e3
% 184.94/29.52    (2)   ~ (e1 = e0)
% 184.94/29.52    (3)   ~ (e3 = e0)
% 184.94/29.52    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.94/29.52         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.94/29.52    (5)   ~ (all_52_6 = e0)
% 184.94/29.52    (6)   ~ (e2 = e0)
% 184.94/29.52    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.52    (8)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 184.94/29.52         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 184.94/29.52    (9)   ~ (e3 = e2)
% 184.94/29.52    (10)  op(e1, e2) = all_52_6
% 184.94/29.52    (11)  all_56_8 = e3
% 184.94/29.52    (12)   ~ (e2 = e1)
% 184.94/29.52    (13)  all_56_7 = e3
% 184.94/29.52    (14)  all_56_11 = e1
% 184.94/29.52  
% 184.94/29.52  Begin of proof
% 184.94/29.52  | 
% 184.94/29.52  | BETA: splitting (8) gives:
% 184.94/29.52  | 
% 184.94/29.52  | Case 1:
% 184.94/29.52  | | 
% 184.94/29.52  | |   (15)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 184.94/29.52  | |           e2)
% 184.94/29.52  | | 
% 184.94/29.52  | | BETA: splitting (15) gives:
% 184.94/29.52  | | 
% 184.94/29.52  | | Case 1:
% 184.94/29.52  | | | 
% 184.94/29.52  | | |   (16)  all_56_6 = e2 & op(e1, e3) = e2
% 184.94/29.52  | | | 
% 184.94/29.52  | | | ALPHA: (16) implies:
% 184.94/29.52  | | |   (17)  all_56_6 = e2
% 184.94/29.52  | | | 
% 184.94/29.52  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (10), (11), (14), (17) are
% 184.94/29.52  | | |            inconsistent by sub-proof #401.
% 184.94/29.52  | | | 
% 184.94/29.52  | | Case 2:
% 184.94/29.52  | | | 
% 184.94/29.52  | | |   (18)  all_56_7 = e2 & op(e1, e2) = e2
% 184.94/29.52  | | | 
% 184.94/29.52  | | | REF_CLOSE: (9), (13), (18) are inconsistent by sub-proof #1072.
% 184.94/29.52  | | | 
% 184.94/29.52  | | End of split
% 184.94/29.52  | | 
% 184.94/29.52  | Case 2:
% 184.94/29.52  | | 
% 184.94/29.53  | |   (19)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 184.94/29.53  | |           e2)
% 184.94/29.53  | | 
% 184.94/29.53  | | BETA: splitting (19) gives:
% 184.94/29.53  | | 
% 184.94/29.53  | | Case 1:
% 184.94/29.53  | | | 
% 184.94/29.53  | | |   (20)  all_56_8 = e2 & op(e1, e1) = e2
% 184.94/29.53  | | | 
% 184.94/29.53  | | | ALPHA: (20) implies:
% 184.94/29.53  | | |   (21)  op(e1, e1) = e2
% 184.94/29.53  | | | 
% 184.94/29.53  | | | REF_CLOSE: (1), (7), (9), (21) are inconsistent by sub-proof #1164.
% 184.94/29.53  | | | 
% 184.94/29.53  | | Case 2:
% 184.94/29.53  | | | 
% 184.94/29.53  | | |   (22)  all_56_11 = e2 & op(e1, e0) = e2
% 184.94/29.53  | | | 
% 184.94/29.53  | | | REF_CLOSE: (12), (14), (22) are inconsistent by sub-proof #956.
% 184.94/29.53  | | | 
% 184.94/29.53  | | End of split
% 184.94/29.53  | | 
% 184.94/29.53  | End of split
% 184.94/29.53  | 
% 184.94/29.53  End of proof
% 184.94/29.53  
% 184.94/29.53  Sub-proof #354 shows that the following formulas are inconsistent:
% 184.94/29.53  ----------------------------------------------------------------
% 184.94/29.53    (1)   ~ (all_52_4 = all_52_7)
% 184.94/29.53    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.53    (3)   ~ (all_52_6 = e2)
% 184.94/29.53    (4)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 184.94/29.53             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 184.94/29.53           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 184.94/29.53             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.94/29.53           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 184.94/29.53           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 184.94/29.53           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 184.94/29.53           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 184.94/29.53           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 184.94/29.53           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 184.94/29.53             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 184.94/29.53           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 184.94/29.53           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 184.94/29.53    (5)  op(e3, e2) = all_52_4
% 184.94/29.53    (6)  op(e1, e2) = all_52_6
% 184.94/29.53    (7)  op(e3, e2) = e2
% 184.94/29.53    (8)  op(e0, e2) = all_52_7
% 184.94/29.53  
% 184.94/29.53  Begin of proof
% 184.94/29.53  | 
% 184.94/29.53  | BETA: splitting (4) gives:
% 184.94/29.53  | 
% 184.94/29.53  | Case 1:
% 184.94/29.53  | | 
% 184.94/29.53  | |   (9)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4
% 184.94/29.53  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 184.94/29.53  | |          e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 &
% 184.94/29.53  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 184.94/29.53  | |        all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 184.94/29.53  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 184.94/29.53  | |        $i(all_57_21) & $i(all_57_29)
% 184.94/29.53  | | 
% 184.94/29.53  | | ALPHA: (9) implies:
% 184.94/29.53  | |   (10)  op(e1, e2) = e2
% 184.94/29.53  | | 
% 184.94/29.53  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1614.
% 184.94/29.53  | | 
% 184.94/29.53  | Case 2:
% 184.94/29.53  | | 
% 184.94/29.53  | |   (11)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~
% 184.94/29.53  | |         (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 184.94/29.53  | |         (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20)
% 184.94/29.53  | |         = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 184.94/29.53  | |         op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 &
% 184.94/29.53  | |         op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 184.94/29.53  | |         $i(all_57_19) & $i(all_57_20) & $i(all_57_29)
% 184.94/29.53  | | 
% 184.94/29.53  | | ALPHA: (11) implies:
% 184.94/29.53  | |   (12)  op(e0, e2) = e2
% 184.94/29.53  | | 
% 184.94/29.53  | | REF_CLOSE: (1), (2), (5), (7), (8), (12) are inconsistent by sub-proof
% 184.94/29.53  | |            #1342.
% 184.94/29.53  | | 
% 184.94/29.53  | End of split
% 184.94/29.53  | 
% 184.94/29.53  End of proof
% 184.94/29.53  
% 184.94/29.53  Sub-proof #355 shows that the following formulas are inconsistent:
% 184.94/29.53  ----------------------------------------------------------------
% 184.94/29.53    (1)  all_57_16 = e2
% 184.94/29.53    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.53    (3)  op(e3, all_57_16) = all_57_1
% 184.94/29.53    (4)  op(e3, e2) = all_57_16
% 184.94/29.53    (5)   ~ (all_57_1 = e2)
% 184.94/29.53  
% 184.94/29.53  Begin of proof
% 184.94/29.53  | 
% 184.94/29.53  | REDUCE: (1), (3) imply:
% 184.94/29.53  |   (6)  op(e3, e2) = all_57_1
% 184.94/29.53  | 
% 184.94/29.53  | REDUCE: (1), (4) imply:
% 184.94/29.53  |   (7)  op(e3, e2) = e2
% 184.94/29.53  | 
% 184.94/29.53  | GROUND_INST: instantiating (2) with e2, all_57_1, e2, e3, simplifying with
% 184.94/29.53  |              (6), (7) gives:
% 184.94/29.53  |   (8)  all_57_1 = e2
% 184.94/29.53  | 
% 184.94/29.53  | REDUCE: (5), (8) imply:
% 184.94/29.53  |   (9)  $false
% 184.94/29.53  | 
% 184.94/29.53  | CLOSE: (9) is inconsistent.
% 184.94/29.53  | 
% 184.94/29.53  End of proof
% 184.94/29.53  
% 184.94/29.53  Sub-proof #356 shows that the following formulas are inconsistent:
% 184.94/29.53  ----------------------------------------------------------------
% 184.94/29.53    (1)  op(e0, e0) = all_6_2
% 184.94/29.53    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.94/29.53         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.94/29.53    (3)   ~ (all_4_2 = e0)
% 184.94/29.53    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.94/29.53         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.94/29.53    (5)   ~ (all_6_2 = e1)
% 184.94/29.53    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.94/29.53         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.94/29.53    (7)   ~ (all_6_2 = e3)
% 184.94/29.53    (8)   ~ (e1 = e0)
% 184.94/29.53    (9)  op(e1, e3) = all_52_2
% 184.94/29.53    (10)   ~ (all_52_4 = e3)
% 184.94/29.53    (11)   ~ (all_52_9 = e0)
% 184.94/29.53    (12)  all_54_15 = all_6_2
% 184.94/29.53    (13)  op(e1, e1) = all_14_2
% 184.94/29.53    (14)   ~ (e3 = e0)
% 184.94/29.53    (15)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 184.94/29.53          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 184.94/29.53    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 184.94/29.53          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 184.94/29.53    (17)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 184.94/29.53          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.94/29.53    (18)  op(e2, e1) = all_52_9
% 184.94/29.53    (19)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.94/29.53          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.94/29.53    (20)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 184.94/29.53          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 184.94/29.53    (21)   ~ (all_40_2 = e1) | ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 184.94/29.53            $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 184.94/29.53            $i(all_40_1))
% 184.94/29.53    (22)   ~ (all_52_6 = e0)
% 184.94/29.53    (23)  op(e3, e0) = all_52_12
% 184.94/29.53    (24)   ~ (e2 = e0)
% 184.94/29.53    (25)   ~ (all_52_6 = e1)
% 184.94/29.53    (26)  all_54_13 = all_52_7
% 184.94/29.53    (27)   ~ (all_52_6 = all_52_7)
% 184.94/29.53    (28)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.94/29.53          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.94/29.53    (29)   ~ (e3 = e1)
% 184.94/29.53    (30)   ~ (all_52_4 = all_52_7)
% 184.94/29.53    (31)   ~ (all_6_2 = e2)
% 184.94/29.53    (32)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 184.94/29.53    (33)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 184.94/29.53          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 184.94/29.53    (34)  all_54_15 = e1 | all_54_15 = e0
% 184.94/29.53    (35)  op(e2, e3) = all_52_1
% 184.94/29.53    (36)   ~ (all_52_4 = e1)
% 184.94/29.53    (37)   ~ (all_52_7 = e0)
% 184.94/29.53    (38)  op(e0, e3) = all_52_3
% 184.94/29.53    (39)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.53            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.53    (40)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.94/29.53          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.94/29.53    (41)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 184.94/29.53    (42)   ~ (all_52_6 = e2)
% 184.94/29.53    (43)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 184.94/29.53          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 184.94/29.53    (44)   ~ (all_52_1 = e1)
% 184.94/29.53    (45)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.94/29.53          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.94/29.53    (46)  all_56_3 = e0
% 184.94/29.53    (47)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 184.94/29.53          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 184.94/29.53    (48)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 184.94/29.53          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 184.94/29.53    (49)  all_54_9 = all_52_6
% 184.94/29.53    (50)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 184.94/29.53          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 184.94/29.53    (51)   ~ (all_52_1 = e0)
% 184.94/29.53    (52)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.94/29.53          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.94/29.53            e1)
% 184.94/29.53    (53)  ( ~ (all_12_0 = e3) & op(e0, e0) = all_12_0 & $i(all_12_0)) | ( ~
% 184.94/29.53            (all_12_1 = e1) & op(e0, e2) = all_12_1 & $i(all_12_1))
% 184.94/29.53    (54)   ~ (all_52_12 = e3)
% 184.94/29.53    (55)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 184.94/29.53          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.94/29.53    (56)   ~ (e3 = e2)
% 184.94/29.53    (57)  op(e3, e3) = e1
% 184.94/29.53    (58)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 184.94/29.53          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 184.94/29.53    (59)   ~ (all_14_2 = e2)
% 184.94/29.53    (60)  op(e3, e1) = all_52_8
% 184.94/29.53    (61)   ~ (all_52_4 = all_52_6)
% 184.94/29.53    (62)  op(e3, e3) = all_4_2
% 184.94/29.53    (63)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 184.94/29.53          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.94/29.53    (64)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.94/29.53          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.94/29.53    (65)  op(e3, e2) = all_52_4
% 184.94/29.53    (66)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.94/29.53          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 184.94/29.53            e3)
% 184.94/29.53    (67)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.94/29.53          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.94/29.53    (68)  op(e1, e2) = all_52_6
% 184.94/29.53    (69)   ~ (all_52_4 = e0)
% 184.94/29.53    (70)   ~ (e2 = e1)
% 184.94/29.53    (71)  all_56_1 = e2
% 184.94/29.53    (72)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.94/29.53          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 184.94/29.53            e2)
% 184.94/29.53    (73)  op(e3, e2) = e2
% 184.94/29.53    (74)  all_56_13 = e1
% 184.94/29.53    (75)  op(e0, e2) = all_52_7
% 184.94/29.53    (76)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 184.94/29.53    (77)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.94/29.53              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.94/29.53                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.94/29.53                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.94/29.53    (78)  all_56_7 = e3
% 184.94/29.53    (79)  all_40_2 = e1
% 184.94/29.53    (80)  op(e2, e2) = e0
% 184.94/29.53    (81)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.94/29.53          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.94/29.53    (82)  all_54_1 = all_52_4
% 184.94/29.53    (83)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.94/29.53          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.94/29.53  
% 184.94/29.53  Begin of proof
% 184.94/29.53  | 
% 184.94/29.53  | BETA: splitting (48) gives:
% 184.94/29.53  | 
% 184.94/29.53  | Case 1:
% 184.94/29.53  | | 
% 184.94/29.53  | |   (84)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 184.94/29.53  | |           e3)
% 184.94/29.53  | | 
% 184.94/29.53  | | BETA: splitting (84) gives:
% 184.94/29.53  | | 
% 184.94/29.53  | | Case 1:
% 184.94/29.53  | | | 
% 184.94/29.53  | | |   (85)  all_56_0 = e3 & op(e3, e3) = e3
% 184.94/29.53  | | | 
% 184.94/29.53  | | | ALPHA: (85) implies:
% 184.94/29.53  | | |   (86)  op(e3, e3) = e3
% 184.94/29.53  | | | 
% 184.94/29.53  | | | REF_CLOSE: (29), (39), (57), (86) are inconsistent by sub-proof #1600.
% 184.94/29.53  | | | 
% 184.94/29.53  | | Case 2:
% 184.94/29.53  | | | 
% 184.94/29.53  | | |   (87)  all_56_1 = e3 & op(e3, e2) = e3
% 184.94/29.53  | | | 
% 184.94/29.53  | | | ALPHA: (87) implies:
% 184.94/29.53  | | |   (88)  all_56_1 = e3
% 184.94/29.53  | | | 
% 184.94/29.53  | | | REF_CLOSE: (24), (28), (39), (56), (70), (74), (78), (80), (88) are
% 184.94/29.53  | | |            inconsistent by sub-proof #546.
% 184.94/29.53  | | | 
% 184.94/29.53  | | End of split
% 184.94/29.53  | | 
% 184.94/29.53  | Case 2:
% 184.94/29.53  | | 
% 184.94/29.53  | |   (89)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 184.94/29.53  | |           e3)
% 184.94/29.53  | | 
% 184.94/29.53  | | BETA: splitting (89) gives:
% 184.94/29.53  | | 
% 184.94/29.53  | | Case 1:
% 184.94/29.53  | | | 
% 184.94/29.53  | | |   (90)  all_56_4 = e3 & op(e3, e1) = e3
% 184.94/29.53  | | | 
% 184.94/29.53  | | | ALPHA: (90) implies:
% 184.94/29.53  | | |   (91)  all_56_4 = e3
% 184.94/29.53  | | |   (92)  op(e3, e1) = e3
% 184.94/29.53  | | | 
% 184.94/29.53  | | | BETA: splitting (58) gives:
% 184.94/29.53  | | | 
% 184.94/29.53  | | | Case 1:
% 184.94/29.53  | | | | 
% 184.94/29.53  | | | |   (93)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0)
% 184.94/29.53  | | | |           = e3)
% 184.94/29.53  | | | | 
% 184.94/29.53  | | | | BETA: splitting (93) gives:
% 184.94/29.53  | | | | 
% 184.94/29.53  | | | | Case 1:
% 184.94/29.53  | | | | | 
% 184.94/29.53  | | | | |   (94)  all_56_9 = e3 & op(e3, e0) = e3
% 184.94/29.53  | | | | | 
% 184.94/29.53  | | | | | ALPHA: (94) implies:
% 184.94/29.53  | | | | |   (95)  op(e3, e0) = e3
% 184.94/29.53  | | | | | 
% 184.94/29.53  | | | | | REF_CLOSE: (23), (39), (54), (95) are inconsistent by sub-proof #1615.
% 184.94/29.53  | | | | | 
% 184.94/29.53  | | | | Case 2:
% 184.94/29.53  | | | | | 
% 184.94/29.53  | | | | |   (96)  all_56_10 = e3 & op(e2, e0) = e3
% 184.94/29.53  | | | | | 
% 184.94/29.53  | | | | | ALPHA: (96) implies:
% 184.94/29.53  | | | | |   (97)  all_56_10 = e3
% 184.94/29.53  | | | | | 
% 184.94/29.53  | | | | | BETA: splitting (55) gives:
% 184.94/29.53  | | | | | 
% 184.94/29.53  | | | | | Case 1:
% 184.94/29.53  | | | | | | 
% 184.94/29.53  | | | | | |   (98)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2,
% 184.94/29.53  | | | | | |             e0) = e2)
% 184.94/29.53  | | | | | | 
% 184.94/29.53  | | | | | | BETA: splitting (98) gives:
% 184.94/29.53  | | | | | | 
% 184.94/29.53  | | | | | | Case 1:
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | |   (99)  all_56_9 = e2 & op(e3, e0) = e2
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | | ALPHA: (99) implies:
% 184.94/29.53  | | | | | | |   (100)  all_56_9 = e2
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | | REF_CLOSE: (3), (14), (16), (24), (39), (60), (62), (65), (69),
% 184.94/29.53  | | | | | | |            (92), (100) are inconsistent by sub-proof #899.
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | Case 2:
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | |   (101)  all_56_10 = e2 & op(e2, e0) = e2
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | | ALPHA: (101) implies:
% 184.94/29.53  | | | | | | |   (102)  all_56_10 = e2
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | | COMBINE_EQS: (97), (102) imply:
% 184.94/29.53  | | | | | | |   (103)  e3 = e2
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | | COMBINE_EQS: (91), (103) imply:
% 184.94/29.53  | | | | | | |   (104)  all_56_4 = e2
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | | REF_CLOSE: (3), (14), (16), (24), (28), (29), (30), (39), (42),
% 184.94/29.53  | | | | | | |            (48), (56), (57), (62), (65), (68), (69), (73), (75),
% 184.94/29.53  | | | | | | |            (80), (104) are inconsistent by sub-proof #359.
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | End of split
% 184.94/29.53  | | | | | | 
% 184.94/29.53  | | | | | Case 2:
% 184.94/29.53  | | | | | | 
% 184.94/29.53  | | | | | |   (105)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 &
% 184.94/29.53  | | | | | |            op(e0, e0) = e2)
% 184.94/29.53  | | | | | | 
% 184.94/29.53  | | | | | | BETA: splitting (105) gives:
% 184.94/29.53  | | | | | | 
% 184.94/29.53  | | | | | | Case 1:
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | |   (106)  all_56_11 = e2 & op(e1, e0) = e2
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | | ALPHA: (106) implies:
% 184.94/29.53  | | | | | | |   (107)  all_56_11 = e2
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | | BETA: splitting (16) gives:
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | | Case 1:
% 184.94/29.53  | | | | | | | | 
% 184.94/29.53  | | | | | | | |   (108)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 &
% 184.94/29.53  | | | | | | | |            op(e3, e2) = e0)
% 184.94/29.53  | | | | | | | | 
% 184.94/29.53  | | | | | | | | REF_CLOSE: (3), (39), (62), (65), (69), (108) are inconsistent
% 184.94/29.53  | | | | | | | |            by sub-proof #1060.
% 184.94/29.53  | | | | | | | | 
% 184.94/29.53  | | | | | | | Case 2:
% 184.94/29.53  | | | | | | | | 
% 184.94/29.53  | | | | | | | |   (109)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 &
% 184.94/29.53  | | | | | | | |            op(e3, e0) = e0)
% 184.94/29.53  | | | | | | | | 
% 184.94/29.53  | | | | | | | | BETA: splitting (109) gives:
% 184.94/29.53  | | | | | | | | 
% 184.94/29.53  | | | | | | | | Case 1:
% 184.94/29.53  | | | | | | | | | 
% 184.94/29.53  | | | | | | | | |   (110)  all_56_4 = e0 & op(e3, e1) = e0
% 184.94/29.53  | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | ALPHA: (110) implies:
% 184.94/29.53  | | | | | | | | |   (111)  op(e3, e1) = e0
% 184.94/29.53  | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | REF_CLOSE: (14), (39), (60), (92), (111) are inconsistent by
% 184.94/29.53  | | | | | | | | |            sub-proof #1577.
% 184.94/29.53  | | | | | | | | | 
% 184.94/29.53  | | | | | | | | Case 2:
% 184.94/29.53  | | | | | | | | | 
% 184.94/29.53  | | | | | | | | |   (112)  all_56_9 = e0 & op(e3, e0) = e0
% 184.94/29.53  | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | ALPHA: (112) implies:
% 184.94/29.53  | | | | | | | | |   (113)  all_56_9 = e0
% 184.94/29.53  | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | BETA: splitting (2) gives:
% 184.94/29.53  | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | Case 1:
% 184.94/29.53  | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | |   (114)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 184.94/29.53  | | | | | | | | | |            & op(e1, e2) = e1)
% 184.94/29.53  | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10),
% 184.94/29.53  | | | | | | | | | |            (11), (13), (14), (15), (16), (17), (18), (19),
% 184.94/29.53  | | | | | | | | | |            (20), (21), (22), (24), (25), (26), (27), (28),
% 184.94/29.53  | | | | | | | | | |            (29), (30), (31), (32), (33), (35), (36), (37),
% 184.94/29.53  | | | | | | | | | |            (38), (39), (40), (41), (43), (44), (45), (46),
% 184.94/29.53  | | | | | | | | | |            (47), (48), (49), (50), (51), (52), (53), (55),
% 184.94/29.53  | | | | | | | | | |            (56), (57), (59), (60), (61), (62), (63), (64),
% 184.94/29.53  | | | | | | | | | |            (65), (66), (67), (68), (69), (70), (72), (75),
% 184.94/29.53  | | | | | | | | | |            (76), (77), (79), (80), (81), (82), (83), (114)
% 184.94/29.53  | | | | | | | | | |            are inconsistent by sub-proof #357.
% 184.94/29.53  | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | Case 2:
% 184.94/29.53  | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | |   (115)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1
% 184.94/29.53  | | | | | | | | | |            & op(e1, e0) = e1)
% 184.94/29.53  | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | BETA: splitting (115) gives:
% 184.94/29.53  | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | Case 1:
% 184.94/29.53  | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | |   (116)  all_56_8 = e1 & op(e1, e1) = e1
% 184.94/29.53  | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | ALPHA: (116) implies:
% 184.94/29.53  | | | | | | | | | | |   (117)  op(e1, e1) = e1
% 184.94/29.53  | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | BETA: splitting (20) gives:
% 184.94/29.53  | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | Case 1:
% 184.94/29.53  | | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | |   (118)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 184.94/29.53  | | | | | | | | | | | |            & op(e2, e2) = e1)
% 184.94/29.53  | | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | | REF_CLOSE: (8), (35), (39), (44), (80), (118) are
% 184.94/29.53  | | | | | | | | | | | |            inconsistent by sub-proof #366.
% 184.94/29.53  | | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | Case 2:
% 184.94/29.53  | | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | |   (119)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 184.94/29.53  | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 184.94/29.53  | | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | | BETA: splitting (119) gives:
% 184.94/29.53  | | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | | Case 1:
% 184.94/29.53  | | | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | | |   (120)  all_56_5 = e1 & op(e2, e1) = e1
% 184.94/29.53  | | | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | | | ALPHA: (120) implies:
% 184.94/29.53  | | | | | | | | | | | | |   (121)  op(e2, e1) = e1
% 184.94/29.53  | | | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | | | REF_CLOSE: (1), (5), (8), (14), (15), (19), (22), (24), (29),
% 184.94/29.53  | | | | | | | | | | | | |            (39), (45), (46), (47), (56), (64), (67), (68),
% 184.94/29.53  | | | | | | | | | | | | |            (70), (80), (113), (117), (121) are inconsistent
% 184.94/29.53  | | | | | | | | | | | | |            by sub-proof #484.
% 184.94/29.53  | | | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | | Case 2:
% 184.94/29.53  | | | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | | |   (122)  all_56_10 = e1 & op(e2, e0) = e1
% 184.94/29.53  | | | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | | | ALPHA: (122) implies:
% 184.94/29.53  | | | | | | | | | | | | |   (123)  all_56_10 = e1
% 184.94/29.53  | | | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | | | COMBINE_EQS: (97), (123) imply:
% 184.94/29.53  | | | | | | | | | | | | |   (124)  e3 = e1
% 184.94/29.53  | | | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | | | SIMP: (124) implies:
% 184.94/29.53  | | | | | | | | | | | | |   (125)  e3 = e1
% 184.94/29.53  | | | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | | | COMBINE_EQS: (91), (125) imply:
% 184.94/29.53  | | | | | | | | | | | | |   (126)  all_56_4 = e1
% 184.94/29.53  | | | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | | | REF_CLOSE: (6), (8), (11), (14), (18), (24), (29), (39),
% 184.94/29.53  | | | | | | | | | | | | |            (40), (56), (63), (70), (117), (126) are
% 184.94/29.53  | | | | | | | | | | | | |            inconsistent by sub-proof #1467.
% 184.94/29.53  | | | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | | End of split
% 184.94/29.53  | | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | End of split
% 184.94/29.53  | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | Case 2:
% 184.94/29.53  | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | |   (127)  all_56_11 = e1 & op(e1, e0) = e1
% 184.94/29.53  | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | | REF_CLOSE: (24), (28), (39), (56), (70), (71), (74), (78),
% 184.94/29.53  | | | | | | | | | | |            (80), (107), (127) are inconsistent by sub-proof
% 184.94/29.53  | | | | | | | | | | |            #361.
% 184.94/29.53  | | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | | End of split
% 184.94/29.53  | | | | | | | | | | 
% 184.94/29.53  | | | | | | | | | End of split
% 184.94/29.53  | | | | | | | | | 
% 184.94/29.53  | | | | | | | | End of split
% 184.94/29.53  | | | | | | | | 
% 184.94/29.53  | | | | | | | End of split
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | Case 2:
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | |   (128)  all_56_15 = e2 & op(e0, e0) = e2
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | | ALPHA: (128) implies:
% 184.94/29.53  | | | | | | |   (129)  op(e0, e0) = e2
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | | REF_CLOSE: (1), (31), (39), (129) are inconsistent by sub-proof
% 184.94/29.53  | | | | | | |            #1511.
% 184.94/29.53  | | | | | | | 
% 184.94/29.53  | | | | | | End of split
% 184.94/29.53  | | | | | | 
% 184.94/29.53  | | | | | End of split
% 184.94/29.53  | | | | | 
% 184.94/29.53  | | | | End of split
% 184.94/29.53  | | | | 
% 184.94/29.53  | | | Case 2:
% 184.94/29.53  | | | | 
% 184.94/29.53  | | | |   (130)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0,
% 184.94/29.53  | | | |              e0) = e3)
% 184.94/29.53  | | | | 
% 184.94/29.53  | | | | BETA: splitting (130) gives:
% 184.94/29.53  | | | | 
% 184.94/29.53  | | | | Case 1:
% 184.94/29.53  | | | | | 
% 184.94/29.53  | | | | |   (131)  all_56_11 = e3 & op(e1, e0) = e3
% 184.94/29.53  | | | | | 
% 184.94/29.53  | | | | | ALPHA: (131) implies:
% 184.94/29.53  | | | | |   (132)  all_56_11 = e3
% 184.94/29.53  | | | | | 
% 184.94/29.53  | | | | | REF_CLOSE: (1), (3), (5), (6), (8), (13), (14), (15), (16), (19),
% 184.94/29.53  | | | | |            (20), (22), (24), (29), (30), (31), (35), (39), (42), (44),
% 184.94/29.53  | | | | |            (45), (46), (47), (48), (50), (51), (52), (55), (56), (57),
% 184.94/29.53  | | | | |            (59), (60), (62), (64), (65), (68), (69), (70), (72), (73),
% 184.94/29.53  | | | | |            (75), (80), (81), (83), (132) are inconsistent by sub-proof
% 184.94/29.53  | | | | |            #365.
% 184.94/29.53  | | | | | 
% 184.94/29.53  | | | | Case 2:
% 184.94/29.53  | | | | | 
% 184.94/29.53  | | | | |   (133)  all_56_15 = e3 & op(e0, e0) = e3
% 184.94/29.53  | | | | | 
% 184.94/29.53  | | | | | ALPHA: (133) implies:
% 184.94/29.53  | | | | |   (134)  op(e0, e0) = e3
% 184.94/29.53  | | | | | 
% 184.94/29.53  | | | | | REF_CLOSE: (1), (5), (7), (12), (34), (39), (134) are inconsistent by
% 184.94/29.53  | | | | |            sub-proof #1291.
% 184.94/29.53  | | | | | 
% 184.94/29.53  | | | | End of split
% 184.94/29.53  | | | | 
% 184.94/29.53  | | | End of split
% 184.94/29.53  | | | 
% 184.94/29.53  | | Case 2:
% 184.94/29.53  | | | 
% 184.94/29.53  | | |   (135)  all_56_9 = e3 & op(e3, e0) = e3
% 184.94/29.53  | | | 
% 184.94/29.53  | | | ALPHA: (135) implies:
% 184.94/29.53  | | |   (136)  op(e3, e0) = e3
% 184.94/29.53  | | | 
% 184.94/29.53  | | | REF_CLOSE: (23), (39), (54), (136) are inconsistent by sub-proof #1615.
% 184.94/29.53  | | | 
% 184.94/29.53  | | End of split
% 184.94/29.53  | | 
% 184.94/29.53  | End of split
% 184.94/29.53  | 
% 184.94/29.53  End of proof
% 184.94/29.53  
% 184.94/29.53  Sub-proof #357 shows that the following formulas are inconsistent:
% 184.94/29.53  ----------------------------------------------------------------
% 184.94/29.53    (1)  op(e0, e0) = all_6_2
% 184.94/29.53    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.94/29.53         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.94/29.53    (3)   ~ (all_4_2 = e0)
% 184.94/29.53    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.94/29.53         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.94/29.53    (5)   ~ (all_6_2 = e1)
% 184.94/29.53    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.94/29.53         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.94/29.53    (7)   ~ (e1 = e0)
% 184.94/29.53    (8)  op(e1, e3) = all_52_2
% 184.94/29.53    (9)   ~ (all_52_4 = e3)
% 184.94/29.53    (10)   ~ (all_52_9 = e0)
% 184.94/29.53    (11)  op(e1, e1) = all_14_2
% 184.94/29.53    (12)   ~ (e3 = e0)
% 184.94/29.53    (13)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 184.94/29.53          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 184.94/29.53    (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 184.94/29.53          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 184.94/29.53    (15)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 184.94/29.53          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.94/29.53    (16)  op(e2, e1) = all_52_9
% 184.94/29.53    (17)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.94/29.53          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.94/29.53    (18)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 184.94/29.53          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 184.94/29.53    (19)   ~ (all_40_2 = e1) | ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 184.94/29.53            $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 184.94/29.53            $i(all_40_1))
% 184.94/29.53    (20)   ~ (all_52_6 = e0)
% 184.94/29.53    (21)   ~ (e2 = e0)
% 184.94/29.53    (22)   ~ (all_52_6 = e1)
% 184.94/29.53    (23)  all_54_13 = all_52_7
% 184.94/29.53    (24)   ~ (all_52_6 = all_52_7)
% 184.94/29.53    (25)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.94/29.53          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.94/29.53    (26)   ~ (e3 = e1)
% 184.94/29.53    (27)   ~ (all_52_4 = all_52_7)
% 184.94/29.53    (28)   ~ (all_6_2 = e2)
% 184.94/29.53    (29)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 184.94/29.53    (30)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 184.94/29.53          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 184.94/29.53    (31)  op(e2, e3) = all_52_1
% 184.94/29.53    (32)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1)
% 184.94/29.53    (33)   ~ (all_52_4 = e1)
% 184.94/29.53    (34)   ~ (all_52_7 = e0)
% 184.94/29.53    (35)  op(e0, e3) = all_52_3
% 184.94/29.53    (36)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.53            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.53    (37)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.94/29.53          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.94/29.53    (38)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 184.94/29.53    (39)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 184.94/29.53          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 184.94/29.53    (40)   ~ (all_52_1 = e1)
% 184.94/29.53    (41)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.94/29.53          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.94/29.53    (42)  all_56_3 = e0
% 184.94/29.53    (43)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 184.94/29.53          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 184.94/29.53    (44)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 184.94/29.53          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 184.94/29.53    (45)  all_54_9 = all_52_6
% 184.94/29.53    (46)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 184.94/29.53          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 184.94/29.53    (47)   ~ (all_52_1 = e0)
% 184.94/29.53    (48)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.94/29.53          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.94/29.53            e1)
% 184.94/29.53    (49)  ( ~ (all_12_0 = e3) & op(e0, e0) = all_12_0 & $i(all_12_0)) | ( ~
% 184.94/29.53            (all_12_1 = e1) & op(e0, e2) = all_12_1 & $i(all_12_1))
% 184.94/29.53    (50)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 184.94/29.53          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.94/29.53    (51)   ~ (e3 = e2)
% 184.94/29.53    (52)  op(e3, e3) = e1
% 184.94/29.53    (53)   ~ (all_14_2 = e2)
% 184.94/29.53    (54)  op(e3, e1) = all_52_8
% 184.94/29.53    (55)   ~ (all_52_4 = all_52_6)
% 184.94/29.53    (56)  op(e3, e3) = all_4_2
% 184.94/29.53    (57)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 184.94/29.53          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.94/29.53    (58)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.94/29.53          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.94/29.53    (59)  op(e3, e2) = all_52_4
% 184.94/29.53    (60)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.94/29.53          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 184.94/29.53            e3)
% 184.94/29.53    (61)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.94/29.53          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.94/29.53    (62)  op(e1, e2) = all_52_6
% 184.94/29.53    (63)   ~ (all_52_4 = e0)
% 184.94/29.53    (64)   ~ (e2 = e1)
% 184.94/29.53    (65)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.94/29.53          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 184.94/29.53            e2)
% 184.94/29.53    (66)  op(e0, e2) = all_52_7
% 184.94/29.53    (67)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 184.94/29.53    (68)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.94/29.53              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.94/29.53                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.94/29.53                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.94/29.53    (69)  all_40_2 = e1
% 184.94/29.53    (70)  op(e2, e2) = e0
% 184.94/29.53    (71)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.94/29.53          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.94/29.53    (72)  all_54_1 = all_52_4
% 184.94/29.53    (73)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.94/29.53          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.94/29.53  
% 184.94/29.53  Begin of proof
% 184.94/29.53  | 
% 184.94/29.53  | BETA: splitting (32) gives:
% 184.94/29.53  | 
% 184.94/29.53  | Case 1:
% 184.94/29.53  | | 
% 184.94/29.53  | |   (74)  all_56_6 = e1 & op(e1, e3) = e1
% 184.94/29.53  | | 
% 184.94/29.53  | | ALPHA: (74) implies:
% 184.94/29.53  | |   (75)  all_56_6 = e1
% 184.94/29.53  | |   (76)  op(e1, e3) = e1
% 184.94/29.53  | | 
% 184.94/29.54  | | REF_CLOSE: (3), (7), (12), (15), (21), (26), (30), (31), (36), (47), (51),
% 184.94/29.54  | |            (52), (56), (64), (71), (75), (76) are inconsistent by sub-proof
% 184.94/29.54  | |            #358.
% 184.94/29.54  | | 
% 184.94/29.54  | Case 2:
% 184.94/29.54  | | 
% 184.94/29.54  | |   (77)  all_56_7 = e1 & op(e1, e2) = e1
% 184.94/29.54  | | 
% 184.94/29.54  | | ALPHA: (77) implies:
% 184.94/29.54  | |   (78)  all_56_7 = e1
% 184.94/29.54  | |   (79)  op(e1, e2) = e1
% 184.94/29.54  | | 
% 184.94/29.54  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 184.94/29.54  | |            (14), (15), (16), (17), (18), (19), (20), (22), (23), (24), (25),
% 184.94/29.54  | |            (27), (28), (29), (30), (31), (33), (34), (35), (36), (37), (38),
% 184.94/29.54  | |            (39), (40), (41), (42), (43), (44), (45), (46), (47), (48), (49),
% 184.94/29.54  | |            (50), (52), (53), (54), (55), (56), (57), (58), (59), (60), (61),
% 184.94/29.54  | |            (62), (63), (65), (66), (67), (68), (69), (70), (71), (72), (73),
% 184.94/29.54  | |            (78), (79) are inconsistent by sub-proof #362.
% 184.94/29.54  | | 
% 184.94/29.54  | End of split
% 184.94/29.54  | 
% 184.94/29.54  End of proof
% 184.94/29.54  
% 184.94/29.54  Sub-proof #358 shows that the following formulas are inconsistent:
% 184.94/29.54  ----------------------------------------------------------------
% 184.94/29.54    (1)   ~ (all_4_2 = e0)
% 184.94/29.54    (2)   ~ (e1 = e0)
% 184.94/29.54    (3)   ~ (e3 = e0)
% 184.94/29.54    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 184.94/29.54         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.94/29.54    (5)   ~ (e2 = e0)
% 184.94/29.54    (6)   ~ (e3 = e1)
% 184.94/29.54    (7)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 184.94/29.54         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 184.94/29.54    (8)  op(e2, e3) = all_52_1
% 184.94/29.54    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.54    (10)  op(e1, e3) = e1
% 184.94/29.54    (11)   ~ (all_52_1 = e0)
% 184.94/29.54    (12)   ~ (e3 = e2)
% 184.94/29.54    (13)  op(e3, e3) = e1
% 184.94/29.54    (14)  op(e3, e3) = all_4_2
% 184.94/29.54    (15)   ~ (e2 = e1)
% 184.94/29.54    (16)  all_56_6 = e1
% 184.94/29.54    (17)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.94/29.54          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.94/29.54  
% 184.94/29.54  Begin of proof
% 184.94/29.54  | 
% 184.94/29.54  | BETA: splitting (17) gives:
% 184.94/29.54  | 
% 184.94/29.54  | Case 1:
% 184.94/29.54  | | 
% 184.94/29.54  | |   (18)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 184.94/29.54  | |           e0)
% 184.94/29.54  | | 
% 184.94/29.54  | | REF_CLOSE: (1), (8), (9), (11), (14), (18) are inconsistent by sub-proof
% 184.94/29.54  | |            #929.
% 184.94/29.54  | | 
% 184.94/29.54  | Case 2:
% 184.94/29.54  | | 
% 184.94/29.54  | |   (19)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 184.94/29.54  | |           e0)
% 184.94/29.54  | | 
% 184.94/29.54  | | BETA: splitting (19) gives:
% 184.94/29.54  | | 
% 184.94/29.54  | | Case 1:
% 184.94/29.54  | | | 
% 184.94/29.54  | | |   (20)  all_56_6 = e0 & op(e1, e3) = e0
% 184.94/29.54  | | | 
% 184.94/29.54  | | | ALPHA: (20) implies:
% 184.94/29.54  | | |   (21)  op(e1, e3) = e0
% 184.94/29.54  | | | 
% 184.94/29.54  | | | REF_CLOSE: (2), (9), (10), (21) are inconsistent by sub-proof #1251.
% 184.94/29.54  | | | 
% 184.94/29.54  | | Case 2:
% 184.94/29.54  | | | 
% 184.94/29.54  | | |   (22)  all_56_12 = e0 & op(e0, e3) = e0
% 184.94/29.54  | | | 
% 184.94/29.54  | | | ALPHA: (22) implies:
% 184.94/29.54  | | |   (23)  all_56_12 = e0
% 184.94/29.54  | | | 
% 184.94/29.54  | | | REF_CLOSE: (3), (4), (5), (6), (7), (9), (12), (13), (15), (16), (23) are
% 184.94/29.54  | | |            inconsistent by sub-proof #645.
% 184.94/29.54  | | | 
% 184.94/29.54  | | End of split
% 184.94/29.54  | | 
% 184.94/29.54  | End of split
% 184.94/29.54  | 
% 184.94/29.54  End of proof
% 184.94/29.54  
% 184.94/29.54  Sub-proof #359 shows that the following formulas are inconsistent:
% 184.94/29.54  ----------------------------------------------------------------
% 184.94/29.54    (1)   ~ (all_4_2 = e0)
% 184.94/29.54    (2)  all_56_4 = e2
% 184.94/29.54    (3)   ~ (e3 = e0)
% 184.94/29.54    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 184.94/29.54         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 184.94/29.54    (5)   ~ (e2 = e0)
% 184.94/29.54    (6)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.94/29.54         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.94/29.54    (7)   ~ (e3 = e1)
% 184.94/29.54    (8)   ~ (all_52_4 = all_52_7)
% 184.94/29.54    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.54    (10)   ~ (all_52_6 = e2)
% 184.94/29.54    (11)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 184.94/29.54          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 184.94/29.54    (12)   ~ (e3 = e2)
% 184.94/29.54    (13)  op(e3, e3) = e1
% 184.94/29.54    (14)  op(e3, e3) = all_4_2
% 184.94/29.54    (15)  op(e3, e2) = all_52_4
% 184.94/29.54    (16)  op(e1, e2) = all_52_6
% 184.94/29.54    (17)   ~ (all_52_4 = e0)
% 184.94/29.54    (18)  op(e3, e2) = e2
% 184.94/29.54    (19)  op(e0, e2) = all_52_7
% 184.94/29.54    (20)  op(e2, e2) = e0
% 184.94/29.54  
% 184.94/29.54  Begin of proof
% 184.94/29.54  | 
% 184.94/29.54  | BETA: splitting (4) gives:
% 184.94/29.54  | 
% 184.94/29.54  | Case 1:
% 184.94/29.54  | | 
% 184.94/29.54  | |   (21)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 184.94/29.54  | |           e0)
% 184.94/29.54  | | 
% 184.94/29.54  | | REF_CLOSE: (1), (9), (14), (15), (17), (21) are inconsistent by sub-proof
% 184.94/29.54  | |            #1060.
% 184.94/29.54  | | 
% 184.94/29.54  | Case 2:
% 184.94/29.54  | | 
% 184.94/29.54  | |   (22)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 184.94/29.54  | |           e0)
% 184.94/29.54  | | 
% 184.94/29.54  | | BETA: splitting (22) gives:
% 184.94/29.54  | | 
% 184.94/29.54  | | Case 1:
% 184.94/29.54  | | | 
% 184.94/29.54  | | |   (23)  all_56_4 = e0 & op(e3, e1) = e0
% 184.94/29.54  | | | 
% 184.94/29.54  | | | ALPHA: (23) implies:
% 184.94/29.54  | | |   (24)  all_56_4 = e0
% 184.94/29.54  | | | 
% 184.94/29.54  | | | REF_CLOSE: (2), (5), (24) are inconsistent by sub-proof #1394.
% 184.94/29.54  | | | 
% 184.94/29.54  | | Case 2:
% 184.94/29.54  | | | 
% 184.94/29.54  | | |   (25)  all_56_9 = e0 & op(e3, e0) = e0
% 184.94/29.54  | | | 
% 184.94/29.54  | | | ALPHA: (25) implies:
% 184.94/29.54  | | |   (26)  op(e3, e0) = e0
% 184.94/29.54  | | | 
% 184.94/29.54  | | | BETA: splitting (11) gives:
% 184.94/29.54  | | | 
% 184.94/29.54  | | | Case 1:
% 184.94/29.54  | | | | 
% 184.94/29.54  | | | |   (27)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2)
% 184.94/29.54  | | | |           = e3)
% 184.94/29.54  | | | | 
% 184.94/29.54  | | | | REF_CLOSE: (5), (6), (7), (8), (9), (10), (12), (13), (15), (16), (18),
% 184.94/29.54  | | | |            (19), (20), (27) are inconsistent by sub-proof #367.
% 184.94/29.54  | | | | 
% 184.94/29.54  | | | Case 2:
% 184.94/29.54  | | | | 
% 184.94/29.54  | | | |   (28)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0)
% 184.94/29.54  | | | |           = e3)
% 184.94/29.54  | | | | 
% 184.94/29.54  | | | | REF_CLOSE: (2), (3), (9), (12), (26), (28) are inconsistent by sub-proof
% 184.94/29.54  | | | |            #1188.
% 184.94/29.54  | | | | 
% 184.94/29.54  | | | End of split
% 184.94/29.54  | | | 
% 184.94/29.54  | | End of split
% 184.94/29.54  | | 
% 184.94/29.54  | End of split
% 184.94/29.54  | 
% 184.94/29.54  End of proof
% 184.94/29.54  
% 184.94/29.54  Sub-proof #360 shows that the following formulas are inconsistent:
% 184.94/29.54  ----------------------------------------------------------------
% 184.94/29.54    (1)   ~ (e3 = e0)
% 184.94/29.54    (2)   ~ (e3 = e1)
% 184.94/29.54    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.54    (4)  op(e3, e3) = e1
% 184.94/29.54    (5)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 184.94/29.54    (6)  op(e2, e2) = e0
% 184.94/29.54  
% 184.94/29.54  Begin of proof
% 184.94/29.54  | 
% 184.94/29.54  | BETA: splitting (5) gives:
% 184.94/29.54  | 
% 184.94/29.54  | Case 1:
% 184.94/29.54  | | 
% 184.94/29.54  | |   (7)  all_57_28 = e3 & op(e3, e3) = e3
% 184.94/29.54  | | 
% 184.94/29.54  | | ALPHA: (7) implies:
% 184.94/29.54  | |   (8)  op(e3, e3) = e3
% 184.94/29.54  | | 
% 184.94/29.54  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1600.
% 184.94/29.54  | | 
% 184.94/29.54  | Case 2:
% 184.94/29.54  | | 
% 184.94/29.54  | |   (9)  all_57_29 = e3 & op(e2, e2) = e3
% 184.94/29.54  | | 
% 184.94/29.54  | | ALPHA: (9) implies:
% 184.94/29.54  | |   (10)  op(e2, e2) = e3
% 184.94/29.54  | | 
% 184.94/29.54  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1015.
% 184.94/29.54  | | 
% 184.94/29.54  | End of split
% 184.94/29.54  | 
% 184.94/29.54  End of proof
% 184.94/29.54  
% 184.94/29.54  Sub-proof #361 shows that the following formulas are inconsistent:
% 184.94/29.54  ----------------------------------------------------------------
% 184.94/29.54    (1)   ~ (e2 = e0)
% 184.94/29.54    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.94/29.54         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.94/29.54    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.54    (4)  all_56_11 = e2
% 184.94/29.54    (5)   ~ (e3 = e2)
% 184.94/29.54    (6)   ~ (e2 = e1)
% 184.94/29.54    (7)  all_56_1 = e2
% 184.94/29.54    (8)  all_56_13 = e1
% 184.94/29.54    (9)  all_56_7 = e3
% 184.94/29.54    (10)  op(e2, e2) = e0
% 184.94/29.54    (11)  all_56_11 = e1 & op(e1, e0) = e1
% 184.94/29.54  
% 184.94/29.54  Begin of proof
% 184.94/29.54  | 
% 184.94/29.54  | ALPHA: (11) implies:
% 184.94/29.54  |   (12)  all_56_11 = e1
% 184.94/29.54  | 
% 184.94/29.54  | COMBINE_EQS: (4), (12) imply:
% 184.94/29.54  |   (13)  e2 = e1
% 184.94/29.54  | 
% 184.94/29.54  | SIMP: (13) implies:
% 184.94/29.54  |   (14)  e2 = e1
% 184.94/29.54  | 
% 184.94/29.54  | COMBINE_EQS: (7), (14) imply:
% 184.94/29.54  |   (15)  all_56_1 = e1
% 184.94/29.54  | 
% 184.94/29.54  | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (10), (15) are inconsistent by
% 184.94/29.54  |            sub-proof #1428.
% 184.94/29.54  | 
% 184.94/29.54  End of proof
% 184.94/29.54  
% 184.94/29.54  Sub-proof #362 shows that the following formulas are inconsistent:
% 184.94/29.54  ----------------------------------------------------------------
% 184.94/29.54    (1)  op(e0, e0) = all_6_2
% 184.94/29.54    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 184.94/29.54         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 184.94/29.54    (3)   ~ (all_4_2 = e0)
% 184.94/29.54    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.94/29.54         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.94/29.54    (5)   ~ (all_6_2 = e1)
% 184.94/29.54    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 184.94/29.54         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 184.94/29.54    (7)   ~ (e1 = e0)
% 184.94/29.54    (8)  op(e1, e3) = all_52_2
% 184.94/29.54    (9)   ~ (all_52_4 = e3)
% 184.94/29.54    (10)   ~ (all_52_9 = e0)
% 184.94/29.54    (11)  op(e1, e1) = all_14_2
% 184.94/29.54    (12)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 184.94/29.54          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 184.94/29.54    (13)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 184.94/29.54          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 184.94/29.54    (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 184.94/29.54          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 184.94/29.54    (15)  op(e2, e1) = all_52_9
% 184.94/29.54    (16)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 184.94/29.54          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 184.94/29.54    (17)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 184.94/29.54          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 184.94/29.54    (18)   ~ (all_40_2 = e1) | ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 184.94/29.54            $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 184.94/29.54            $i(all_40_1))
% 184.94/29.54    (19)   ~ (all_52_6 = e0)
% 184.94/29.54    (20)   ~ (all_52_6 = e1)
% 184.94/29.54    (21)  all_54_13 = all_52_7
% 184.94/29.54    (22)   ~ (all_52_6 = all_52_7)
% 184.94/29.54    (23)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.94/29.54          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.94/29.54    (24)   ~ (all_52_4 = all_52_7)
% 184.94/29.54    (25)   ~ (all_6_2 = e2)
% 184.94/29.54    (26)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 184.94/29.54    (27)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 184.94/29.54          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 184.94/29.54    (28)  op(e2, e3) = all_52_1
% 184.94/29.54    (29)   ~ (all_52_4 = e1)
% 184.94/29.54    (30)   ~ (all_52_7 = e0)
% 184.94/29.54    (31)  op(e0, e3) = all_52_3
% 184.94/29.54    (32)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 184.94/29.54            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 184.94/29.54    (33)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 184.94/29.54          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 184.94/29.54    (34)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 184.94/29.54    (35)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 184.94/29.54          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 184.94/29.54    (36)   ~ (all_52_1 = e1)
% 184.94/29.54    (37)  op(e1, e2) = e1
% 184.94/29.54    (38)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 184.94/29.54          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 184.94/29.54    (39)  all_56_3 = e0
% 184.94/29.54    (40)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 184.94/29.54          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 184.94/29.54    (41)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 184.94/29.54          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 184.94/29.54    (42)  all_54_9 = all_52_6
% 184.94/29.54    (43)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 184.94/29.54          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 184.94/29.54    (44)   ~ (all_52_1 = e0)
% 184.94/29.54    (45)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 184.94/29.54          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 184.94/29.54            e1)
% 184.94/29.54    (46)  ( ~ (all_12_0 = e3) & op(e0, e0) = all_12_0 & $i(all_12_0)) | ( ~
% 184.94/29.54            (all_12_1 = e1) & op(e0, e2) = all_12_1 & $i(all_12_1))
% 184.94/29.54    (47)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 184.94/29.54          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 184.94/29.54    (48)  op(e3, e3) = e1
% 184.94/29.54    (49)   ~ (all_14_2 = e2)
% 184.94/29.54    (50)  op(e3, e1) = all_52_8
% 184.94/29.54    (51)   ~ (all_52_4 = all_52_6)
% 184.94/29.54    (52)  op(e3, e3) = all_4_2
% 184.94/29.54    (53)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 184.94/29.54          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 184.94/29.54    (54)  all_56_7 = e1
% 184.94/29.54    (55)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 184.94/29.54          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 184.94/29.54    (56)  op(e3, e2) = all_52_4
% 184.94/29.54    (57)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 184.94/29.54          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 184.94/29.54            e3)
% 184.94/29.54    (58)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 184.94/29.54          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 184.94/29.54    (59)  op(e1, e2) = all_52_6
% 184.94/29.54    (60)   ~ (all_52_4 = e0)
% 184.94/29.54    (61)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 184.94/29.54          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 184.94/29.54            e2)
% 184.94/29.54    (62)  op(e0, e2) = all_52_7
% 184.94/29.54    (63)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 184.94/29.54    (64)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 184.94/29.54              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 184.94/29.54                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 184.94/29.54                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 184.94/29.54    (65)  all_40_2 = e1
% 184.94/29.54    (66)  op(e2, e2) = e0
% 184.94/29.54    (67)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 184.94/29.54          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 184.94/29.54    (68)  all_54_1 = all_52_4
% 184.94/29.54    (69)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 184.94/29.54          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 184.94/29.54  
% 184.94/29.54  Begin of proof
% 184.94/29.54  | 
% 184.94/29.54  | BETA: splitting (26) gives:
% 184.94/29.54  | 
% 184.94/29.54  | Case 1:
% 184.94/29.54  | | 
% 184.94/29.54  | |   (70)  all_54_1 = e3
% 184.94/29.54  | | 
% 184.94/29.54  | | REF_CLOSE: (9), (68), (70) are inconsistent by sub-proof #1344.
% 184.94/29.54  | | 
% 184.94/29.54  | Case 2:
% 184.94/29.54  | | 
% 184.94/29.54  | |   (71)   ~ (all_54_1 = e3)
% 184.94/29.54  | |   (72)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 184.94/29.54  | | 
% 184.94/29.54  | | BETA: splitting (72) gives:
% 184.94/29.54  | | 
% 184.94/29.54  | | Case 1:
% 184.94/29.54  | | | 
% 184.94/29.54  | | |   (73)  all_54_1 = e2
% 184.94/29.54  | | | 
% 184.94/29.54  | | | COMBINE_EQS: (68), (73) imply:
% 184.94/29.54  | | |   (74)  all_52_4 = e2
% 184.94/29.54  | | | 
% 184.94/29.54  | | | SIMP: (74) implies:
% 184.94/29.54  | | |   (75)  all_52_4 = e2
% 184.94/29.54  | | | 
% 184.94/29.54  | | | REDUCE: (51), (75) imply:
% 184.94/29.54  | | |   (76)   ~ (all_52_6 = e2)
% 184.94/29.54  | | | 
% 184.94/29.54  | | | SIMP: (76) implies:
% 184.94/29.54  | | |   (77)   ~ (all_52_6 = e2)
% 184.94/29.54  | | | 
% 184.94/29.54  | | | REDUCE: (24), (75) imply:
% 184.94/29.54  | | |   (78)   ~ (all_52_7 = e2)
% 184.94/29.54  | | | 
% 184.94/29.54  | | | SIMP: (78) implies:
% 184.94/29.54  | | |   (79)   ~ (all_52_7 = e2)
% 184.94/29.54  | | | 
% 184.94/29.54  | | | REDUCE: (29), (75) imply:
% 184.94/29.54  | | |   (80)   ~ (e2 = e1)
% 184.94/29.54  | | | 
% 184.94/29.54  | | | REDUCE: (60), (75) imply:
% 184.94/29.54  | | |   (81)   ~ (e2 = e0)
% 184.94/29.54  | | | 
% 184.94/29.54  | | | REDUCE: (56), (75) imply:
% 184.94/29.54  | | |   (82)  op(e3, e2) = e2
% 184.94/29.54  | | | 
% 184.94/29.54  | | | BETA: splitting (63) gives:
% 184.94/29.54  | | | 
% 184.94/29.54  | | | Case 1:
% 184.94/29.54  | | | | 
% 184.94/29.54  | | | |   (83)  all_54_9 = e3
% 184.94/29.54  | | | | 
% 184.94/29.54  | | | | COMBINE_EQS: (42), (83) imply:
% 184.94/29.54  | | | |   (84)  all_52_6 = e3
% 184.94/29.54  | | | | 
% 184.94/29.54  | | | | REDUCE: (22), (84) imply:
% 184.94/29.54  | | | |   (85)   ~ (all_52_7 = e3)
% 184.94/29.54  | | | | 
% 184.94/29.54  | | | | SIMP: (85) implies:
% 184.94/29.54  | | | |   (86)   ~ (all_52_7 = e3)
% 184.94/29.54  | | | | 
% 184.94/29.54  | | | | REDUCE: (77), (84) imply:
% 184.94/29.54  | | | |   (87)   ~ (e3 = e2)
% 184.94/29.54  | | | | 
% 184.94/29.54  | | | | REDUCE: (20), (84) imply:
% 184.94/29.54  | | | |   (88)   ~ (e3 = e1)
% 184.94/29.54  | | | | 
% 184.94/29.54  | | | | REDUCE: (19), (84) imply:
% 184.94/29.54  | | | |   (89)   ~ (e3 = e0)
% 184.94/29.54  | | | | 
% 184.94/29.54  | | | | REDUCE: (59), (84) imply:
% 184.94/29.54  | | | |   (90)  op(e1, e2) = e3
% 184.94/29.54  | | | | 
% 184.94/29.54  | | | | BETA: splitting (34) gives:
% 184.94/29.54  | | | | 
% 184.94/29.54  | | | | Case 1:
% 184.94/29.54  | | | | | 
% 184.94/29.54  | | | | |   (91)  all_54_13 = e3
% 184.94/29.54  | | | | | 
% 184.94/29.54  | | | | | REF_CLOSE: (21), (86), (91) are inconsistent by sub-proof #1302.
% 184.94/29.54  | | | | | 
% 184.94/29.54  | | | | Case 2:
% 184.94/29.54  | | | | | 
% 184.94/29.54  | | | | |   (92)   ~ (all_54_13 = e3)
% 184.94/29.54  | | | | |   (93)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 184.94/29.54  | | | | | 
% 184.94/29.54  | | | | | BETA: splitting (58) gives:
% 184.94/29.54  | | | | | 
% 184.94/29.54  | | | | | Case 1:
% 184.94/29.54  | | | | | | 
% 184.94/29.54  | | | | | |   (94)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1,
% 184.94/29.54  | | | | | |             e2) = e3)
% 184.94/29.54  | | | | | | 
% 184.94/29.54  | | | | | | BETA: splitting (94) gives:
% 184.94/29.54  | | | | | | 
% 184.94/29.54  | | | | | | Case 1:
% 184.94/29.54  | | | | | | | 
% 184.94/29.54  | | | | | | |   (95)  all_56_6 = e3 & op(e1, e3) = e3
% 184.94/29.54  | | | | | | | 
% 184.94/29.54  | | | | | | | ALPHA: (95) implies:
% 184.94/29.54  | | | | | | |   (96)  all_56_6 = e3
% 184.94/29.54  | | | | | | |   (97)  op(e1, e3) = e3
% 184.94/29.54  | | | | | | | 
% 184.94/29.54  | | | | | | | REF_CLOSE: (1), (3), (4), (5), (7), (14), (23), (24), (25), (27),
% 184.94/29.54  | | | | | | |            (28), (32), (44), (45), (48), (52), (54), (56), (59),
% 184.94/29.54  | | | | | | |            (61), (62), (66), (67), (77), (80), (81), (82), (87),
% 184.94/29.54  | | | | | | |            (88), (89), (96), (97) are inconsistent by sub-proof
% 184.94/29.54  | | | | | | |            #419.
% 184.94/29.54  | | | | | | | 
% 184.94/29.54  | | | | | | Case 2:
% 184.94/29.54  | | | | | | | 
% 184.94/29.54  | | | | | | |   (98)  all_56_7 = e3 & op(e1, e2) = e3
% 184.94/29.54  | | | | | | | 
% 184.94/29.54  | | | | | | | REF_CLOSE: (54), (88), (98) are inconsistent by sub-proof #761.
% 184.94/29.54  | | | | | | | 
% 184.94/29.54  | | | | | | End of split
% 184.94/29.54  | | | | | | 
% 184.94/29.54  | | | | | Case 2:
% 184.94/29.54  | | | | | | 
% 184.94/29.54  | | | | | |   (99)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1,
% 184.94/29.54  | | | | | |             e0) = e3)
% 184.94/29.54  | | | | | | 
% 184.94/29.54  | | | | | | BETA: splitting (99) gives:
% 184.94/29.54  | | | | | | 
% 184.94/29.54  | | | | | | Case 1:
% 184.94/29.54  | | | | | | | 
% 184.94/29.54  | | | | | | |   (100)  all_56_8 = e3 & op(e1, e1) = e3
% 184.94/29.54  | | | | | | | 
% 184.94/29.54  | | | | | | | ALPHA: (100) implies:
% 184.94/29.54  | | | | | | |   (101)  all_56_8 = e3
% 184.94/29.54  | | | | | | |   (102)  op(e1, e1) = e3
% 184.94/29.54  | | | | | | | 
% 184.94/29.54  | | | | | | | BETA: splitting (4) gives:
% 184.94/29.54  | | | | | | | 
% 184.94/29.54  | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | 
% 184.94/29.54  | | | | | | | |   (103)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 &
% 184.94/29.54  | | | | | | | |            op(e2, e2) = e3)
% 184.94/29.54  | | | | | | | | 
% 184.94/29.54  | | | | | | | | REF_CLOSE: (23), (24), (32), (56), (59), (62), (66), (77), (81),
% 184.94/29.54  | | | | | | | |            (82), (87), (89), (103) are inconsistent by sub-proof
% 184.94/29.54  | | | | | | | |            #420.
% 184.94/29.54  | | | | | | | | 
% 184.94/29.54  | | | | | | | Case 2:
% 184.94/29.54  | | | | | | | | 
% 184.94/29.54  | | | | | | | |   (104)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 &
% 184.94/29.54  | | | | | | | |            op(e0, e2) = e3)
% 184.94/29.54  | | | | | | | | 
% 184.94/29.54  | | | | | | | | BETA: splitting (104) gives:
% 184.94/29.54  | | | | | | | | 
% 184.94/29.54  | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | 
% 184.94/29.54  | | | | | | | | |   (105)  all_56_7 = e3 & op(e1, e2) = e3
% 184.94/29.54  | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | REF_CLOSE: (54), (88), (105) are inconsistent by sub-proof
% 184.94/29.54  | | | | | | | | |            #761.
% 184.94/29.54  | | | | | | | | | 
% 184.94/29.54  | | | | | | | | Case 2:
% 184.94/29.54  | | | | | | | | | 
% 184.94/29.54  | | | | | | | | |   (106)  all_56_13 = e3 & op(e0, e2) = e3
% 184.94/29.54  | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | ALPHA: (106) implies:
% 184.94/29.54  | | | | | | | | |   (107)  all_56_13 = e3
% 184.94/29.54  | | | | | | | | |   (108)  op(e0, e2) = e3
% 184.94/29.54  | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | BETA: splitting (45) gives:
% 184.94/29.54  | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | |   (109)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 184.94/29.54  | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 184.94/29.54  | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | BETA: splitting (109) gives:
% 184.94/29.54  | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | |   (110)  all_56_12 = e1 & op(e0, e3) = e1
% 184.94/29.54  | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | ALPHA: (110) implies:
% 184.94/29.54  | | | | | | | | | | |   (111)  all_56_12 = e1
% 184.94/29.54  | | | | | | | | | | |   (112)  op(e0, e3) = e1
% 184.94/29.54  | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | BETA: splitting (67) gives:
% 184.94/29.54  | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | |   (113)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 184.94/29.54  | | | | | | | | | | | |            & op(e2, e3) = e0)
% 184.94/29.54  | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | BETA: splitting (113) gives:
% 184.94/29.54  | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | |   (114)  all_56_0 = e0 & op(e3, e3) = e0
% 184.94/29.54  | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | ALPHA: (114) implies:
% 184.94/29.54  | | | | | | | | | | | | |   (115)  op(e3, e3) = e0
% 184.94/29.54  | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | REF_CLOSE: (3), (32), (52), (115) are inconsistent by
% 184.94/29.54  | | | | | | | | | | | | |            sub-proof #1624.
% 184.94/29.54  | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | Case 2:
% 184.94/29.54  | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | |   (116)  all_56_2 = e0 & op(e2, e3) = e0
% 184.94/29.54  | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | ALPHA: (116) implies:
% 184.94/29.54  | | | | | | | | | | | | |   (117)  all_56_2 = e0
% 184.94/29.54  | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | BETA: splitting (55) gives:
% 184.94/29.54  | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | |   (118)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 184.94/29.54  | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 184.94/29.54  | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | REF_CLOSE: (32), (66), (89), (117), (118) are inconsistent by
% 184.94/29.54  | | | | | | | | | | | | | |            sub-proof #450.
% 184.94/29.54  | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | Case 2:
% 184.94/29.54  | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | |   (119)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 184.94/29.54  | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 184.94/29.54  | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 184.94/29.54  | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | |   (120)  all_56_5 = e3 & op(e2, e1) = e3
% 184.94/29.54  | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | ALPHA: (120) implies:
% 184.94/29.54  | | | | | | | | | | | | | | |   (121)  all_56_5 = e3
% 184.94/29.54  | | | | | | | | | | | | | | |   (122)  op(e2, e1) = e3
% 184.94/29.54  | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 184.94/29.54  | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | |   (123)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 184.94/29.54  | | | | | | | | | | | | | | | |            & op(e3, e2) = e1)
% 184.94/29.54  | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 184.94/29.54  | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | |   (124)  all_56_0 = e1 & op(e3, e3) = e1
% 184.94/29.54  | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | ALPHA: (124) implies:
% 184.94/29.54  | | | | | | | | | | | | | | | | |   (125)  all_56_0 = e1
% 184.94/29.54  | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (27), (31), (32), (80), (81), (87), (88),
% 184.94/29.54  | | | | | | | | | | | | | | | | |            (89), (111), (112), (117), (125) are inconsistent
% 184.94/29.54  | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 184.94/29.54  | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.54  | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | |   (126)  all_56_1 = e1 & op(e3, e2) = e1
% 184.94/29.54  | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | ALPHA: (126) implies:
% 184.94/29.54  | | | | | | | | | | | | | | | | |   (127)  all_56_1 = e1
% 184.94/29.54  | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 184.94/29.54  | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | |   (128)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 184.94/29.54  | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3)
% 184.94/29.54  | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | |   (129)  all_56_0 = e3 & op(e3, e3) = e3
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | ALPHA: (129) implies:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | |   (130)  all_56_0 = e3
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (7), (10), (14), (15), (16), (19), (25),
% 184.94/29.54  | | | | | | | | | | | | | | | | | | |            (27), (30), (31), (32), (33), (53), (57), (58),
% 184.94/29.54  | | | | | | | | | | | | | | | | | | |            (59), (61), (62), (64), (69), (80), (81), (87),
% 184.94/29.54  | | | | | | | | | | | | | | | | | | |            (88), (89), (101), (111), (112), (117), (121),
% 184.94/29.54  | | | | | | | | | | | | | | | | | | |            (122), (130) are inconsistent by sub-proof #409.
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | |   (131)  all_56_2 = e3 & op(e2, e3) = e3
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | ALPHA: (131) implies:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | |   (132)  all_56_2 = e3
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (89), (117), (132) are inconsistent by sub-proof
% 184.94/29.54  | | | | | | | | | | | | | | | | | | |            #700.
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.54  | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | |   (133)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 184.94/29.54  | | | | | | | | | | | | | | | | | |            e3 & op(e0, e3) = e3)
% 184.94/29.54  | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | |   (134)  all_56_6 = e3 & op(e1, e3) = e3
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | ALPHA: (134) implies:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | |   (135)  all_56_6 = e3
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | BETA: splitting (14) gives:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | |   (136)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | |   (137)  all_56_0 = e2 & op(e3, e3) = e2
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | ALPHA: (137) implies:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | |   (138)  all_56_0 = e2
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4) gives:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | |   (139)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (66), (88), (89), (127), (139) are
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #442.
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | |   (140)  all_56_7 = e3 & op(e1, e2) = e3
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (140) implies:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | |   (141)  all_56_7 = e3
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | |   (142)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e1)
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (142) gives:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (143)  all_56_4 = e1 & op(e3, e1) = e1
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (143) implies:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (144)  all_56_4 = e1
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | |   (145)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e3)
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (145) gives:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (146)  all_56_0 = e3 & op(e3, e3) = e3
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (146) implies:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (147)  all_56_0 = e3
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (7), (10), (14), (15), (16), (19), (25),
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (27), (30), (31), (32), (33), (53), (57), (58),
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (59), (61), (62), (64), (69), (80), (81), (87),
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (88), (89), (101), (111), (112), (117), (121),
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (122), (147) are inconsistent by sub-proof #409.
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (148)  all_56_1 = e3 & op(e3, e2) = e3
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (88), (127), (148) are inconsistent by sub-proof
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #460.
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | |   (149)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e3)
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (150)  all_56_4 = e3 & op(e3, e1) = e3
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (88), (144), (150) are inconsistent by sub-proof
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #987.
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (151)  all_56_9 = e3 & op(e3, e0) = e3
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (151) implies:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (152)  all_56_9 = e3
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2) gives:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (153)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e1)
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (154)  all_56_6 = e1 & op(e1, e3) = e1
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (154) implies:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (155)  all_56_6 = e1
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (135), (155) imply:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (156)  e3 = e1
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (152), (156) imply:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (157)  all_56_9 = e1
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (13), (14), (25), (27), (30), (31),
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (52), (56), (57), (60), (61), (62), (64),
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (69), (80), (81), (87), (88), (89), (101), (111),
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (117), (122), (157) are inconsistent by
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #402.
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (158)  all_56_7 = e1 & op(e1, e2) = e1
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (54), (141) imply:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (159)  e3 = e1
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (152), (159) imply:
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (160)  all_56_9 = e1
% 184.94/29.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (13), (14), (25), (27), (30), (31),
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (52), (56), (57), (60), (61), (62), (64),
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (69), (80), (81), (87), (88), (89), (101), (111),
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (117), (122), (160) are inconsistent by
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #402.
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (161)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e1, e0) = e1)
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (162)  all_56_8 = e1 & op(e1, e1) = e1
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (162) implies:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (163)  all_56_8 = e1
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (101), (163) imply:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (164)  e3 = e1
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (164) implies:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (165)  e3 = e1
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (152), (165) imply:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (166)  all_56_9 = e1
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (13), (14), (25), (27), (30), (31),
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (52), (56), (57), (60), (61), (62), (64),
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (69), (80), (81), (87), (88), (89), (101), (111),
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (117), (122), (166) are inconsistent by
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #402.
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (167)  all_56_11 = e1 & op(e1, e0) = e1
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (167) implies:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (168)  all_56_11 = e1
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (16), (18), (19), (32), (40), (59),
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (65), (80), (81), (89), (101), (135), (141), (168)
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #398.
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (169)  all_56_5 = e1 & op(e2, e1) = e1
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (169) implies:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (170)  op(e2, e1) = e1
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (88), (122), (170) are inconsistent by
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1456.
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | |   (171)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e1) = e1)
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (172)  all_56_8 = e1 & op(e1, e1) = e1
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (88), (101), (172) are inconsistent by sub-proof
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            #407.
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (173)  all_56_14 = e1 & op(e0, e1) = e1
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (173) implies:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (174)  all_56_14 = e1
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (14), (25), (27), (30), (31), (32),
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            (57), (61), (62), (64), (80), (81), (87), (88),
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (111), (112), (117), (135), (138), (174) are
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #404.
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 184.94/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | |   (175)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e1)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (176)  all_56_4 = e1 & op(e3, e1) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (176) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (177)  all_56_4 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (178)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (179)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (27), (31), (32), (80), (81), (87), (88),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (111), (112), (117), (138), (179) are
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #406.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (180)  all_56_13 = e2 & op(e0, e2) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (180) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (181)  all_56_13 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (107), (181) imply:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (182)  e3 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (182) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (183)  e3 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (135), (183) imply:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (184)  all_56_6 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (7), (10), (15), (16), (19), (32), (33),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (53), (58), (59), (80), (81), (87), (88), (89),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (101), (121), (177), (184) are inconsistent by
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #413.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (185)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (10), (15), (25), (32), (33), (81),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (101), (177), (185) are inconsistent by
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #397.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (186)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (186) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (187)  op(e2, e1) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (88), (122), (187) are inconsistent by
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1456.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | |   (188)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e1) = e1)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (189)  all_56_8 = e1 & op(e1, e1) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (88), (101), (189) are inconsistent by sub-proof
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            #396.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (190)  all_56_14 = e1 & op(e0, e1) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (190) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (191)  all_56_14 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (14), (25), (27), (30), (31), (32),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            (57), (61), (62), (64), (80), (81), (87), (88),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (107), (111), (112), (117), (135), (138),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            (191) are inconsistent by sub-proof #405.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |   (192)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (117), (192) are inconsistent by sub-proof
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |            #638.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | |   (193)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |   (194)  all_56_6 = e2 & op(e1, e3) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | ALPHA: (194) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |   (195)  all_56_6 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (87), (135), (195) are inconsistent by sub-proof
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |            #1454.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |   (196)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | ALPHA: (196) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |   (197)  all_56_12 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (111), (197) are inconsistent by sub-proof
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |            #1383.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | |   (198)  all_56_12 = e3 & op(e0, e3) = e3
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | ALPHA: (198) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | |   (199)  op(e0, e3) = e3
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (32), (88), (112), (199) are inconsistent by
% 185.00/29.55  | | | | | | | | | | | | | | | | | | |            sub-proof #1529.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | |   (200)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | |            & op(e3, e0) = e1)
% 185.00/29.55  | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | |   (201)  all_56_4 = e1 & op(e3, e1) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | ALPHA: (201) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | |   (202)  all_56_4 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | BETA: splitting (14) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | |   (203)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | |   (204)  all_56_0 = e2 & op(e3, e3) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | ALPHA: (204) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | |   (205)  all_56_0 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | BETA: splitting (38) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | |   (206)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |   (207)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | ALPHA: (207) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |   (208)  all_56_2 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (117), (208) are inconsistent by sub-proof
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |            #1196.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |   (209)  all_56_3 = e2 & op(e2, e2) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | ALPHA: (209) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |   (210)  op(e2, e2) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (32), (48), (66), (81), (117), (203), (210)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #394.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | |   (211)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_56_6 = e2 & op(e1, e3) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (212) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_56_6 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | |   (214)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e1)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (32), (52), (56), (60), (215) are
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1060.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (202), (217) are inconsistent by sub-proof
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1477.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  all_56_9 = e0 & op(e3, e0) = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (218) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_56_9 = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e0)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10), (15), (32), (202), (220) are
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #417.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (89), (101), (222) are inconsistent by sub-proof
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #418.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_56_14 = e0 & op(e0, e1) = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (223) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_56_14 = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e2)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (32), (48), (66), (204), (210) are
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #395.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_56_1 = e2 & op(e3, e2) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (24), (25), (32), (56), (61), (62), (80),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (81), (82), (111), (224) are inconsistent by
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1299.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e2)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (202), (228) are inconsistent by sub-proof
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1475.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (229) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_56_9 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (219), (230) are inconsistent by sub-proof
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1570.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (231) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  op(e2, e1) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (88), (122), (232) are inconsistent by
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1456.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | |   (233)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e1) = e1)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_56_8 = e1 & op(e1, e1) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (88), (101), (234) are inconsistent by sub-proof
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            #407.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_56_14 = e1 & op(e0, e1) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (235) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_56_14 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (25), (27), (30), (31), (32), (57),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (62), (64), (80), (87), (88), (89), (111),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (117), (213), (236) are inconsistent by
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #410.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |   (237)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (237) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |   (238)  all_56_12 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (111), (238) are inconsistent by sub-proof
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |            #1383.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | |   (239)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |   (240)  all_56_5 = e2 & op(e2, e1) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | ALPHA: (240) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |   (241)  all_56_5 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (87), (121), (241) are inconsistent by sub-proof
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |            #936.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |   (242)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | ALPHA: (242) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |   (243)  all_56_10 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | |   (244)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_56_9 = e1 & op(e3, e0) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (245) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |   (246)  all_56_9 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (13), (14), (25), (27), (30), (31),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |            (32), (52), (56), (57), (60), (61), (62), (64),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |            (69), (80), (81), (87), (88), (89), (101), (111),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |            (112), (117), (122), (246) are inconsistent by
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #402.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (247) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_56_10 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (243), (248) imply:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |   (249)  e2 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (249) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |   (250)  e2 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (205), (250) imply:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_56_0 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (27), (31), (32), (80), (81), (87), (88),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |            (89), (111), (112), (117), (251) are inconsistent
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | |   (252)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_56_11 = e1 & op(e1, e0) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (253) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_56_11 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | |   (255)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (256) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_56_6 = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (259) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_56_0 = e3
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (7), (10), (14), (15), (16), (19), (25),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (27), (30), (31), (32), (33), (53), (57), (58),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (59), (61), (62), (64), (69), (80), (81), (87),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (88), (89), (101), (111), (112), (117), (121),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (122), (260) are inconsistent by sub-proof #409.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_56_2 = e3 & op(e2, e3) = e3
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (261) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_56_2 = e3
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (89), (117), (262) are inconsistent by sub-proof
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #700.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e3) = e3)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (32), (88), (89), (112), (257), (263) are
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #739.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_56_7 = e0 & op(e1, e2) = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (32), (59), (264) are inconsistent by
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1199.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | |   (265)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (89), (101), (266) are inconsistent by sub-proof
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            #416.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_56_11 = e0 & op(e1, e0) = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (267) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_56_11 = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (268) imply:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  e1 = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (269) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  e1 = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (202), (270) imply:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_56_4 = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (14), (25), (27), (30), (31), (32),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            (57), (61), (62), (64), (69), (80), (81), (87),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            (88), (89), (101), (111), (112), (117), (122),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            (205), (271) are inconsistent by sub-proof #403.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_56_15 = e1 & op(e0, e0) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (272) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |   (273)  op(e0, e0) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (32), (273) are inconsistent by
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1516.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | |   (274)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | ALPHA: (274) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | |   (275)  all_56_2 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (117), (275) are inconsistent by sub-proof
% 185.00/29.55  | | | | | | | | | | | | | | | | | | |            #1196.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | |   (276)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 185.00/29.55  | | | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | |   (277)  all_56_6 = e2 & op(e1, e3) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | ALPHA: (277) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | |   (278)  all_56_6 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (7), (10), (15), (16), (19), (32), (33),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | |            (53), (58), (59), (80), (81), (87), (88), (89),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | |            (101), (121), (202), (278) are inconsistent by
% 185.00/29.55  | | | | | | | | | | | | | | | | | | |            sub-proof #413.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | |   (279)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | ALPHA: (279) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | |   (280)  all_56_12 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (111), (280) are inconsistent by sub-proof
% 185.00/29.55  | | | | | | | | | | | | | | | | | | |            #1383.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | |   (281)  all_56_9 = e1 & op(e3, e0) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | ALPHA: (281) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | |   (282)  all_56_9 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (13), (14), (25), (27), (30), (31),
% 185.00/29.55  | | | | | | | | | | | | | | | | |            (32), (52), (56), (57), (60), (61), (62), (64),
% 185.00/29.55  | | | | | | | | | | | | | | | | |            (69), (80), (81), (87), (88), (89), (101), (111),
% 185.00/29.55  | | | | | | | | | | | | | | | | |            (112), (117), (122), (282) are inconsistent by
% 185.00/29.55  | | | | | | | | | | | | | | | | |            sub-proof #402.
% 185.00/29.55  | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | |   (283)  all_56_10 = e3 & op(e2, e0) = e3
% 185.00/29.55  | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | ALPHA: (283) implies:
% 185.00/29.55  | | | | | | | | | | | | | | |   (284)  all_56_10 = e3
% 185.00/29.55  | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | |   (285)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | |            & op(e3, e2) = e1)
% 185.00/29.55  | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | |   (286)  all_56_0 = e1 & op(e3, e3) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | ALPHA: (286) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | |   (287)  all_56_0 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (27), (31), (32), (80), (81), (87), (88),
% 185.00/29.55  | | | | | | | | | | | | | | | | |            (89), (111), (112), (117), (287) are inconsistent
% 185.00/29.55  | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 185.00/29.55  | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | |   (288)  all_56_1 = e1 & op(e3, e2) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | ALPHA: (288) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | |   (289)  all_56_1 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | |   (290)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.00/29.55  | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (13), (14), (17), (24), (25), (27),
% 185.00/29.55  | | | | | | | | | | | | | | | | | |            (31), (32), (38), (39), (43), (47), (48), (52),
% 185.00/29.55  | | | | | | | | | | | | | | | | | |            (55), (56), (60), (61), (62), (66), (69), (80),
% 185.00/29.55  | | | | | | | | | | | | | | | | | |            (81), (87), (88), (89), (101), (111), (112),
% 185.00/29.55  | | | | | | | | | | | | | | | | | |            (117), (284), (290) are inconsistent by sub-proof
% 185.00/29.55  | | | | | | | | | | | | | | | | | |            #389.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | |   (291)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.00/29.55  | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | |   (292)  all_56_11 = e1 & op(e1, e0) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | ALPHA: (292) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | |   (293)  all_56_11 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | BETA: splitting (14) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | |   (294)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | BETA: splitting (294) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |   (295)  all_56_0 = e2 & op(e3, e3) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | ALPHA: (295) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | |   (296)  all_56_0 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | |   (297)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (87), (89), (117), (296), (297) are inconsistent
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #388.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | |   (298)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e3) = e3)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_56_6 = e3 & op(e1, e3) = e3
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (299) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_56_6 = e3
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | |   (301)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (66), (88), (89), (289), (301) are
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #442.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  all_56_7 = e3 & op(e1, e2) = e3
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (302) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_56_7 = e3
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (16), (18), (19), (32), (40), (59),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            (65), (80), (81), (89), (101), (293), (300), (303)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #398.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (111), (305) are inconsistent by sub-proof
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1591.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  all_56_13 = e2 & op(e0, e2) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (306) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  all_56_13 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (107), (307) imply:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  e3 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (308) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  e3 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (300), (309) imply:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  all_56_6 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16), (19), (32), (59), (81), (89), (101),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (293), (310) are inconsistent by sub-proof #401.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_56_14 = e2 & op(e0, e1) = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (312) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_56_14 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e1)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_56_4 = e1 & op(e3, e1) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (315) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_56_4 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10), (15), (32), (33), (81), (89), (101),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (313), (316) are inconsistent by sub-proof #414.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (317) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  op(e2, e1) = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e0)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (320) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  all_56_4 = e0
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e3)
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (323) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_56_0 = e3
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (296), (324) imply:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  e3 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (300), (325) imply:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_56_6 = e2
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16), (19), (32), (59), (81), (89), (101),
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (293), (326) are inconsistent by sub-proof #401.
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_56_1 = e3 & op(e3, e2) = e3
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (327) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_56_1 = e3
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (289), (328) imply:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  e3 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (329) implies:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  e3 = e1
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (107), (330) imply:
% 185.00/29.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_56_13 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (32), (88), (112), (331), (332) are
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #387.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_56_14 = e3 & op(e0, e1) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (334) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_56_14 = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (335) imply:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  e3 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (336) imply:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_56_10 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (55), (66), (87), (88), (89), (117), (318),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (337) are inconsistent by sub-proof #604.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  all_56_15 = e3 & op(e0, e0) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (338) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  op(e0, e0) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (30), (32), (62), (64), (81), (89), (111),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (313), (339) are inconsistent by sub-proof #1274.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e3)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_56_4 = e3 & op(e3, e1) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (89), (321), (341) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #937.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_56_9 = e3 & op(e3, e0) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (342) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_56_9 = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (25), (32), (47), (80), (87), (284), (293),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (343) are inconsistent by sub-proof #776.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_56_5 = e0 & op(e2, e1) = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (15), (32), (344) are inconsistent by
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1476.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (89), (101), (313), (345) are inconsistent
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #415.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e1) = e1)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_56_8 = e1 & op(e1, e1) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (88), (101), (347) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #396.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  all_56_14 = e1 & op(e0, e1) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (348) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  all_56_14 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (313), (349) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1118.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  all_56_15 = e2 & op(e0, e0) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (350) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  op(e0, e0) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (25), (32), (351) are inconsistent by
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1511.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_56_12 = e3 & op(e0, e3) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (352) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (353)  op(e0, e3) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (32), (88), (112), (353) are inconsistent by
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1529.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |   (354)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (117), (354) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |            #638.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | |   (355)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | BETA: splitting (355) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |   (356)  all_56_6 = e2 & op(e1, e3) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | ALPHA: (356) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |   (357)  all_56_6 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16), (19), (32), (59), (81), (89), (101),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |            (293), (357) are inconsistent by sub-proof #401.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |   (358)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | ALPHA: (358) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |   (359)  all_56_12 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (111), (359) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |            #1383.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | |   (360)  all_56_15 = e1 & op(e0, e0) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | ALPHA: (360) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | |   (361)  op(e0, e0) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (32), (361) are inconsistent by
% 185.00/29.56  | | | | | | | | | | | | | | | | | | |            sub-proof #1516.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | |   (362)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | |            & op(e3, e0) = e1)
% 185.00/29.56  | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | |   (363)  all_56_4 = e1 & op(e3, e1) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | ALPHA: (363) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | |   (364)  all_56_4 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | |   (365)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (32), (52), (56), (60), (365) are
% 185.00/29.56  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1060.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | |   (366)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | BETA: splitting (366) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | |   (367)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (364), (367) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | |            #1477.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | |   (368)  all_56_9 = e0 & op(e3, e0) = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | ALPHA: (368) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | |   (369)  all_56_9 = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | BETA: splitting (14) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | |   (370)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |   (371)  all_56_0 = e2 & op(e3, e3) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | ALPHA: (371) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |   (372)  all_56_0 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |   (373)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (13), (14), (17), (24), (25), (27),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (38), (39), (43), (47), (48), (52),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            (55), (56), (60), (61), (62), (66), (69), (80),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            (81), (87), (88), (89), (101), (111), (112),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            (117), (284), (373) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            #389.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |   (374)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (375)  all_56_11 = e1 & op(e1, e0) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (375) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (376)  all_56_11 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | |   (377)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e0)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10), (15), (32), (364), (377) are
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #417.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | |   (378)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (89), (101), (379) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |            #418.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  all_56_14 = e0 & op(e0, e1) = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (380) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  all_56_14 = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (87), (89), (117), (372), (382) are inconsistent
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #388.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e3) = e3)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  all_56_6 = e3 & op(e1, e3) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (384) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  all_56_6 = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (111), (387) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1591.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  all_56_13 = e2 & op(e0, e2) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (388) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  all_56_13 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (391) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  all_56_9 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (369), (392) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1570.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (393) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  all_56_10 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (284), (394) imply:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)  e3 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (395) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  e3 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (396) imply:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)  all_56_6 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16), (19), (32), (59), (81), (89), (101),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (376), (397) are inconsistent by sub-proof #401.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  all_56_11 = e2 & op(e1, e0) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (399) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  all_56_11 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (376), (400) imply:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)  e2 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (25), (30), (31), (32), (57), (61),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (62), (64), (80), (81), (88), (89), (111), (112),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (381), (389), (401) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #385.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)  all_56_15 = e2 & op(e0, e0) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (402) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  all_56_15 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (87), (88), (89), (111), (381), (389), (403)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #528.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (10), (15), (25), (32), (33), (81),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (101), (364), (404) are inconsistent by
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #397.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)  all_56_12 = e3 & op(e0, e3) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (405) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  op(e0, e3) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (32), (88), (112), (406) are inconsistent by
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1529.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (407)  all_56_15 = e1 & op(e0, e0) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (407) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (408)  op(e0, e0) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (32), (408) are inconsistent by
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1516.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |   (409)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | ALPHA: (409) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |   (410)  all_56_2 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (117), (410) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |            #1196.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | |   (411)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | BETA: splitting (411) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |   (412)  all_56_6 = e2 & op(e1, e3) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | ALPHA: (412) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |   (413)  all_56_6 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |   (414)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (13), (14), (17), (24), (25), (27),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (38), (39), (43), (47), (48), (52),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            (55), (56), (60), (61), (62), (66), (69), (80),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            (81), (87), (88), (89), (101), (111), (112),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            (117), (284), (414) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            #389.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |   (415)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (415) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (416)  all_56_11 = e1 & op(e1, e0) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (416) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (417)  all_56_11 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16), (19), (32), (59), (81), (89), (101),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |            (413), (417) are inconsistent by sub-proof #401.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (418)  all_56_15 = e1 & op(e0, e0) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (418) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (419)  op(e0, e0) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (32), (419) are inconsistent by
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1516.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |   (420)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | ALPHA: (420) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |   (421)  all_56_12 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (111), (421) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |            #1383.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | |   (422)  all_56_9 = e1 & op(e3, e0) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | ALPHA: (422) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | |   (423)  all_56_9 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (13), (14), (17), (24), (25), (27),
% 185.00/29.56  | | | | | | | | | | | | | | | | |            (31), (32), (38), (39), (43), (47), (48), (52),
% 185.00/29.56  | | | | | | | | | | | | | | | | |            (55), (56), (60), (61), (62), (66), (69), (80),
% 185.00/29.56  | | | | | | | | | | | | | | | | |            (81), (87), (88), (89), (101), (111), (112),
% 185.00/29.56  | | | | | | | | | | | | | | | | |            (117), (284), (423) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | |            #390.
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | |   (424)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 185.00/29.56  | | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 185.00/29.56  | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | BETA: splitting (424) gives:
% 185.00/29.56  | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | |   (425)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.56  | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | ALPHA: (425) implies:
% 185.00/29.56  | | | | | | | | | | | | |   (426)  all_56_6 = e0
% 185.00/29.56  | | | | | | | | | | | | |   (427)  op(e1, e3) = e0
% 185.00/29.56  | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | BETA: splitting (14) gives:
% 185.00/29.56  | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | |   (428)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 185.00/29.56  | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 185.00/29.56  | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | BETA: splitting (428) gives:
% 185.00/29.56  | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | |   (429)  all_56_0 = e2 & op(e3, e3) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | ALPHA: (429) implies:
% 185.00/29.56  | | | | | | | | | | | | | | |   (430)  op(e3, e3) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | REF_CLOSE: (32), (48), (80), (430) are inconsistent by
% 185.00/29.56  | | | | | | | | | | | | | | |            sub-proof #1582.
% 185.00/29.56  | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | |   (431)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | ALPHA: (431) implies:
% 185.00/29.56  | | | | | | | | | | | | | | |   (432)  all_56_2 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | |   (433)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | |            & op(e3, e2) = e1)
% 185.00/29.56  | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | BETA: splitting (433) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | |   (434)  all_56_0 = e1 & op(e3, e3) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | ALPHA: (434) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | |   (435)  all_56_0 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (31), (32), (87), (88), (89), (112), (426),
% 185.00/29.56  | | | | | | | | | | | | | | | | |            (432), (435) are inconsistent by sub-proof #738.
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | |   (436)  all_56_1 = e1 & op(e3, e2) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | ALPHA: (436) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | |   (437)  all_56_1 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (10), (12), (15),
% 185.00/29.56  | | | | | | | | | | | | | | | | |            (16), (17), (18), (19), (23), (25), (27), (31),
% 185.00/29.56  | | | | | | | | | | | | | | | | |            (32), (33), (39), (40), (43), (47), (48), (53),
% 185.00/29.56  | | | | | | | | | | | | | | | | |            (55), (59), (61), (65), (66), (69), (80), (81),
% 185.00/29.56  | | | | | | | | | | | | | | | | |            (87), (88), (89), (101), (102), (111), (112),
% 185.00/29.56  | | | | | | | | | | | | | | | | |            (426), (427), (431), (432), (437) are inconsistent
% 185.00/29.56  | | | | | | | | | | | | | | | | |            by sub-proof #373.
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | |   (438)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | |            & op(e3, e0) = e1)
% 185.00/29.56  | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | BETA: splitting (438) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | |   (439)  all_56_4 = e1 & op(e3, e1) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | ALPHA: (439) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | |   (440)  all_56_4 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | |   (441)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (32), (52), (56), (60), (441) are
% 185.00/29.56  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1060.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | |   (442)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | BETA: splitting (442) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | |   (443)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (440), (443) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | |            #1477.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | |   (444)  all_56_9 = e0 & op(e3, e0) = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | ALPHA: (444) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | |   (445)  all_56_9 = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | |   (446)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (66), (87), (89), (432), (446) are
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #384.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | |   (447)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | BETA: splitting (447) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |   (448)  all_56_5 = e3 & op(e2, e1) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | ALPHA: (448) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |   (449)  all_56_5 = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |   (450)  op(e2, e1) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |   (451)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (451) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (452)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (452) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (453)  all_56_0 = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | |   (454)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e2)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (454) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (455)  all_56_0 = e2 & op(e3, e3) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (87), (453), (455) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |            #974.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (456)  all_56_1 = e2 & op(e3, e2) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (456) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (457)  all_56_1 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (458)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (66), (87), (89), (457), (458) are
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #372.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (7), (8), (10), (15), (18), (25), (27),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (40), (53), (61), (65), (69),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (81), (87), (88), (89), (101), (104), (111),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (426), (427), (432), (449), (450), (453)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #379.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | |   (459)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e2)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (459) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (460)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (440), (460) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |            #1475.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (461)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (445), (461) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |            #973.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (462)  all_56_2 = e3 & op(e2, e3) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (462) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (463)  all_56_2 = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (87), (432), (463) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |            #1414.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |   (464)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e3) = e3)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (32), (88), (89), (112), (426), (464) are
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1528.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |   (465)  all_56_10 = e3 & op(e2, e0) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | ALPHA: (465) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | |   (466)  all_56_10 = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |   (467)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (467) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (468)  all_56_9 = e1 & op(e3, e0) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (468) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (469)  all_56_9 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (8), (13), (17), (18), (25), (27),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (39), (43), (47), (48), (52), (53),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |            (55), (56), (60), (65), (66), (69), (80), (81),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |            (87), (88), (89), (101), (112), (426), (427),
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |            (432), (469) are inconsistent by sub-proof #371.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (470)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (88), (466), (470) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |            #1486.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |   (471)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (471) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (472)  all_56_11 = e1 & op(e1, e0) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (472) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | |   (473)  all_56_11 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | |   (474)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e0)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (474) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (475)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (440), (475) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |            #1477.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (476)  all_56_5 = e0 & op(e2, e1) = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (15), (32), (476) are inconsistent by
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1476.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | |   (477)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (478)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (89), (101), (478) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |            #418.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (479)  all_56_14 = e0 & op(e0, e1) = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (479) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (480)  all_56_14 = e0
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (481)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e2)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (481) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (482)  all_56_6 = e2 & op(e1, e3) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (426), (482) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #580.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (483)  all_56_7 = e2 & op(e1, e2) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (483) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (484)  all_56_7 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (485)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (485) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (486)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (111), (486) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1591.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (487)  all_56_13 = e2 & op(e0, e2) = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (487) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (488)  all_56_13 = e2
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (489)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (489) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (490)  all_56_1 = e3 & op(e3, e2) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (490) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (491)  all_56_1 = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (492)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (32), (87), (88), (112), (488), (492) are
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #706.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (493)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (493) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (494)  all_56_14 = e3 & op(e0, e1) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (494) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (495)  all_56_14 = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (89), (480), (495) are inconsistent by sub-proof
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1470.
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (496)  all_56_15 = e3 & op(e0, e0) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (496) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (497)  op(e0, e0) = e3
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (498)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (498) gives:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (499)  all_56_2 = e1 & op(e2, e3) = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (499) implies:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (500)  all_56_2 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (500) imply:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (501)  e2 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (501) imply:
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (502)  all_56_13 = e1
% 185.00/29.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (7), (25), (30), (32), (61), (62), (64),
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (81), (89), (111), (497), (502) are
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #386.
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (503)  all_56_3 = e1 & op(e2, e2) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (503) implies:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (504)  op(e2, e2) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (32), (66), (504) are inconsistent by
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1310.
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (505)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (506)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (506) implies:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (507)  all_56_5 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (508)  op(e2, e1) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (7), (25), (30), (31), (32), (53), (57),
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (62), (64), (80), (81), (87), (88), (89),
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (111), (112), (440), (480), (507), (508) are
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #368.
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (509)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (509) implies:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (510)  all_56_10 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (510) imply:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (511)  e3 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (511) implies:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (512)  e3 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (512) imply:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (513)  all_56_1 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (10), (12), (15),
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (16), (17), (18), (19), (23), (25), (27), (31),
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (33), (39), (40), (43), (47), (48), (53),
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (55), (59), (61), (65), (66), (69), (80), (81),
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (87), (88), (89), (101), (102), (111), (112),
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (426), (427), (431), (432), (513) are inconsistent
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #373.
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (514)  all_56_3 = e3 & op(e2, e2) = e3
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (514) implies:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (515)  op(e2, e2) = e3
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (66), (89), (515) are inconsistent by
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1015.
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (516)  all_56_7 = e3 & op(e1, e2) = e3
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (87), (484), (516) are inconsistent by sub-proof
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1134.
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (87), (106), (488) are inconsistent by sub-proof
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #760.
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (517)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (25), (32), (81), (480), (517) are
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1300.
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | |   (518)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e0) = e2)
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (16), (18), (19), (32), (59), (65),
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (81), (473), (518) are inconsistent by
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #399.
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | |   (519)  all_56_15 = e1 & op(e0, e0) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (519) implies:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | |   (520)  op(e0, e0) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (32), (520) are inconsistent by
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1516.
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | |   (521)  all_56_9 = e1 & op(e3, e0) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | ALPHA: (521) implies:
% 185.00/29.57  | | | | | | | | | | | | | | | | |   (522)  all_56_9 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (7), (8), (13), (17), (18), (25), (27),
% 185.00/29.57  | | | | | | | | | | | | | | | | |            (31), (32), (39), (43), (47), (48), (52), (53),
% 185.00/29.57  | | | | | | | | | | | | | | | | |            (55), (56), (60), (65), (66), (69), (80), (81),
% 185.00/29.57  | | | | | | | | | | | | | | | | |            (87), (88), (89), (101), (112), (426), (427),
% 185.00/29.57  | | | | | | | | | | | | | | | | |            (432), (522) are inconsistent by sub-proof #371.
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | |   (523)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 185.00/29.57  | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | BETA: splitting (523) gives:
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | |   (524)  all_56_6 = e2 & op(e1, e3) = e2
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | ALPHA: (524) implies:
% 185.00/29.57  | | | | | | | | | | | | | | |   (525)  all_56_6 = e2
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | REF_CLOSE: (81), (426), (525) are inconsistent by sub-proof
% 185.00/29.57  | | | | | | | | | | | | | | |            #1592.
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | |   (526)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | ALPHA: (526) implies:
% 185.00/29.57  | | | | | | | | | | | | | | |   (527)  all_56_12 = e2
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | REF_CLOSE: (80), (111), (527) are inconsistent by sub-proof
% 185.00/29.57  | | | | | | | | | | | | | | |            #1383.
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | |   (528)  all_56_12 = e0 & op(e0, e3) = e0
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | REF_CLOSE: (7), (111), (528) are inconsistent by sub-proof
% 185.00/29.57  | | | | | | | | | | | | |            #1444.
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | |   (529)  all_56_13 = e1 & op(e0, e2) = e1
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | REF_CLOSE: (88), (107), (529) are inconsistent by sub-proof
% 185.00/29.57  | | | | | | | | | | |            #1460.
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | |   (530)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.00/29.57  | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.00/29.57  | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | BETA: splitting (530) gives:
% 185.00/29.57  | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | |   (531)  all_56_14 = e1 & op(e0, e1) = e1
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | ALPHA: (531) implies:
% 185.00/29.57  | | | | | | | | | | |   (532)  op(e0, e1) = e1
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | BETA: splitting (33) gives:
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | |   (533)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 185.00/29.57  | | | | | | | | | | | |            & op(e2, e1) = e0)
% 185.00/29.57  | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | BETA: splitting (533) gives:
% 185.00/29.57  | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | |   (534)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | ALPHA: (534) implies:
% 185.00/29.57  | | | | | | | | | | | | |   (535)  all_56_4 = e0
% 185.00/29.57  | | | | | | | | | | | | |   (536)  op(e3, e1) = e0
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | BETA: splitting (41) gives:
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | |   (537)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 185.00/29.57  | | | | | | | | | | | | | |            & op(e3, e2) = e3)
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | REF_CLOSE: (23), (24), (32), (48), (56), (59), (62), (66),
% 185.00/29.57  | | | | | | | | | | | | | |            (77), (81), (82), (87), (88), (537) are
% 185.00/29.57  | | | | | | | | | | | | | |            inconsistent by sub-proof #367.
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | |   (538)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 185.00/29.57  | | | | | | | | | | | | | |            & op(e3, e0) = e3)
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | BETA: splitting (538) gives:
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | |   (539)  all_56_4 = e3 & op(e3, e1) = e3
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | ALPHA: (539) implies:
% 185.00/29.57  | | | | | | | | | | | | | | |   (540)  all_56_4 = e3
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | REF_CLOSE: (7), (10), (15), (32), (33), (53), (69), (80),
% 185.00/29.57  | | | | | | | | | | | | | | |            (81), (87), (88), (89), (102), (540) are
% 185.00/29.57  | | | | | | | | | | | | | | |            inconsistent by sub-proof #425.
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | |   (541)  all_56_9 = e3 & op(e3, e0) = e3
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | ALPHA: (541) implies:
% 185.00/29.57  | | | | | | | | | | | | | | |   (542)  all_56_9 = e3
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | |   (543)  all_54_13 = e2
% 185.00/29.57  | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | REF_CLOSE: (21), (79), (543) are inconsistent by sub-proof
% 185.00/29.57  | | | | | | | | | | | | | | | |            #1185.
% 185.00/29.57  | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | |   (544)   ~ (all_54_13 = e2)
% 185.00/29.57  | | | | | | | | | | | | | | | |   (545)  all_54_13 = e1 | all_54_13 = e0
% 185.00/29.57  | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | BETA: splitting (545) gives:
% 185.00/29.57  | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | |   (546)  all_54_13 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | COMBINE_EQS: (21), (546) imply:
% 185.00/29.57  | | | | | | | | | | | | | | | | |   (547)  all_52_7 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | SIMP: (547) implies:
% 185.00/29.57  | | | | | | | | | | | | | | | | |   (548)  all_52_7 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | REDUCE: (86), (548) imply:
% 185.00/29.57  | | | | | | | | | | | | | | | | |   (549)   ~ (e3 = e1)
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | REDUCE: (79), (548) imply:
% 185.00/29.57  | | | | | | | | | | | | | | | | |   (550)   ~ (e2 = e1)
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | REDUCE: (62), (548) imply:
% 185.00/29.57  | | | | | | | | | | | | | | | | |   (551)  op(e0, e2) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | BETA: splitting (46) gives:
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e1, e3, e2, e1,
% 185.00/29.57  | | | | | | | | | | | | | | | | | |              simplifying with (37), (90) gives:
% 185.00/29.57  | | | | | | | | | | | | | | | | | |   (552)  e3 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (552) imply:
% 185.00/29.57  | | | | | | | | | | | | | | | | | |   (553)  all_56_9 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (41), (43), (48), (50), (80), (81), (87),
% 185.00/29.57  | | | | | | | | | | | | | | | | | |            (88), (89), (535), (536), (553) are inconsistent
% 185.00/29.57  | | | | | | | | | | | | | | | | | |            by sub-proof #1375.
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | |   (554)   ~ (all_12_1 = e1) & op(e0, e2) = all_12_1 &
% 185.00/29.57  | | | | | | | | | | | | | | | | | |          $i(all_12_1)
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | ALPHA: (554) implies:
% 185.00/29.57  | | | | | | | | | | | | | | | | | |   (555)  op(e0, e2) = all_12_1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e3, all_12_1, e2, e0,
% 185.00/29.57  | | | | | | | | | | | | | | | | | |              simplifying with (108), (555) gives:
% 185.00/29.57  | | | | | | | | | | | | | | | | | |   (556)  all_12_1 = e3
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e1, all_12_1, e2, e0,
% 185.00/29.57  | | | | | | | | | | | | | | | | | |              simplifying with (551), (555) gives:
% 185.00/29.57  | | | | | | | | | | | | | | | | | |   (557)  all_12_1 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (556), (557) imply:
% 185.00/29.57  | | | | | | | | | | | | | | | | | |   (558)  e3 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | SIMP: (558) implies:
% 185.00/29.57  | | | | | | | | | | | | | | | | | |   (559)  e3 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (559) imply:
% 185.00/29.57  | | | | | | | | | | | | | | | | | |   (560)  all_56_9 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (41), (43), (48), (50), (80), (81), (87),
% 185.00/29.57  | | | | | | | | | | | | | | | | | |            (88), (89), (535), (536), (560) are inconsistent
% 185.00/29.57  | | | | | | | | | | | | | | | | | |            by sub-proof #1375.
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | |   (561)  all_54_13 = e0
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (30), (561) are inconsistent by sub-proof
% 185.00/29.57  | | | | | | | | | | | | | | | | |            #1312.
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | |   (562)  all_56_5 = e0 & op(e2, e1) = e0
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | REF_CLOSE: (10), (15), (32), (562) are inconsistent by
% 185.00/29.57  | | | | | | | | | | | | |            sub-proof #1476.
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | |   (563)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 185.00/29.57  | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 185.00/29.57  | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | BETA: splitting (563) gives:
% 185.00/29.57  | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | |   (564)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | ALPHA: (564) implies:
% 185.00/29.57  | | | | | | | | | | | | |   (565)  op(e1, e1) = e0
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | REF_CLOSE: (32), (89), (102), (565) are inconsistent by
% 185.00/29.57  | | | | | | | | | | | | |            sub-proof #1252.
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | |   (566)  all_56_14 = e0 & op(e0, e1) = e0
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | ALPHA: (566) implies:
% 185.00/29.57  | | | | | | | | | | | | |   (567)  op(e0, e1) = e0
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | REF_CLOSE: (7), (32), (532), (567) are inconsistent by
% 185.00/29.57  | | | | | | | | | | | | |            sub-proof #1171.
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | |   (568)  all_56_15 = e1 & op(e0, e0) = e1
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | ALPHA: (568) implies:
% 185.00/29.57  | | | | | | | | | | |   (569)  op(e0, e0) = e1
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | REF_CLOSE: (1), (5), (32), (569) are inconsistent by
% 185.00/29.57  | | | | | | | | | | |            sub-proof #1516.
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | 
% 185.00/29.57  | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | 
% 185.00/29.57  | | | | | | | End of split
% 185.00/29.57  | | | | | | | 
% 185.00/29.57  | | | | | | Case 2:
% 185.00/29.57  | | | | | | | 
% 185.00/29.57  | | | | | | |   (570)  all_56_11 = e3 & op(e1, e0) = e3
% 185.00/29.57  | | | | | | | 
% 185.00/29.57  | | | | | | | ALPHA: (570) implies:
% 185.00/29.57  | | | | | | |   (571)  all_56_11 = e3
% 185.00/29.57  | | | | | | | 
% 185.00/29.57  | | | | | | | REF_CLOSE: (1), (3), (5), (6), (7), (11), (12), (13), (16), (17),
% 185.00/29.57  | | | | | | |            (19), (24), (25), (28), (32), (36), (38), (39), (40),
% 185.00/29.57  | | | | | | |            (41), (43), (44), (45), (47), (48), (49), (50), (52),
% 185.00/29.57  | | | | | | |            (55), (56), (59), (60), (61), (62), (66), (67), (69),
% 185.00/29.57  | | | | | | |            (77), (80), (81), (82), (87), (88), (89), (571) are
% 185.00/29.57  | | | | | | |            inconsistent by sub-proof #365.
% 185.00/29.57  | | | | | | | 
% 185.00/29.57  | | | | | | End of split
% 185.00/29.57  | | | | | | 
% 185.00/29.57  | | | | | End of split
% 185.00/29.57  | | | | | 
% 185.00/29.57  | | | | End of split
% 185.00/29.57  | | | | 
% 185.00/29.57  | | | Case 2:
% 185.00/29.57  | | | | 
% 185.00/29.57  | | | |   (572)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 185.00/29.57  | | | | 
% 185.00/29.57  | | | | REF_CLOSE: (9), (19), (20), (26), (29), (42), (51), (60), (68), (572)
% 185.00/29.57  | | | |            are inconsistent by sub-proof #363.
% 185.00/29.57  | | | | 
% 185.00/29.57  | | | End of split
% 185.00/29.57  | | | 
% 185.00/29.57  | | Case 2:
% 185.00/29.57  | | | 
% 185.00/29.57  | | |   (573)  all_54_1 = e1 | all_54_1 = e0
% 185.00/29.57  | | | 
% 185.00/29.57  | | | REF_CLOSE: (29), (60), (68), (573) are inconsistent by sub-proof #1058.
% 185.00/29.57  | | | 
% 185.00/29.57  | | End of split
% 185.00/29.57  | | 
% 185.00/29.57  | End of split
% 185.00/29.57  | 
% 185.00/29.57  End of proof
% 185.00/29.57  
% 185.00/29.57  Sub-proof #363 shows that the following formulas are inconsistent:
% 185.00/29.57  ----------------------------------------------------------------
% 185.00/29.57    (1)   ~ (all_52_4 = e3)
% 185.00/29.57    (2)   ~ (all_52_6 = e0)
% 185.00/29.57    (3)   ~ (all_52_6 = e1)
% 185.00/29.57    (4)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 185.00/29.57    (5)   ~ (all_52_4 = e1)
% 185.00/29.57    (6)  all_54_9 = all_52_6
% 185.00/29.57    (7)   ~ (all_52_4 = all_52_6)
% 185.00/29.57    (8)   ~ (all_52_4 = e0)
% 185.00/29.57    (9)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 185.00/29.57    (10)  all_54_1 = all_52_4
% 185.00/29.57  
% 185.00/29.57  Begin of proof
% 185.00/29.57  | 
% 185.00/29.57  | BETA: splitting (9) gives:
% 185.00/29.57  | 
% 185.00/29.57  | Case 1:
% 185.00/29.57  | | 
% 185.00/29.57  | |   (11)  all_54_9 = e2
% 185.00/29.57  | | 
% 185.00/29.57  | | COMBINE_EQS: (6), (11) imply:
% 185.00/29.57  | |   (12)  all_52_6 = e2
% 185.00/29.57  | | 
% 185.00/29.57  | | SIMP: (12) implies:
% 185.00/29.57  | |   (13)  all_52_6 = e2
% 185.00/29.57  | | 
% 185.00/29.57  | | REDUCE: (7), (13) imply:
% 185.00/29.57  | |   (14)   ~ (all_52_4 = e2)
% 185.00/29.57  | | 
% 185.00/29.57  | | REF_CLOSE: (1), (4), (5), (8), (10), (14) are inconsistent by sub-proof
% 185.00/29.57  | |            #364.
% 185.00/29.57  | | 
% 185.00/29.57  | Case 2:
% 185.00/29.57  | | 
% 185.00/29.57  | |   (15)  all_54_9 = e1 | all_54_9 = e0
% 185.00/29.57  | | 
% 185.00/29.57  | | REF_CLOSE: (2), (3), (6), (15) are inconsistent by sub-proof #1320.
% 185.00/29.57  | | 
% 185.00/29.57  | End of split
% 185.00/29.57  | 
% 185.00/29.57  End of proof
% 185.00/29.57  
% 185.00/29.57  Sub-proof #364 shows that the following formulas are inconsistent:
% 185.00/29.57  ----------------------------------------------------------------
% 185.00/29.57    (1)   ~ (all_52_4 = e3)
% 185.00/29.57    (2)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 185.00/29.57    (3)   ~ (all_52_4 = e1)
% 185.00/29.57    (4)   ~ (all_52_4 = e2)
% 185.00/29.57    (5)   ~ (all_52_4 = e0)
% 185.00/29.57    (6)  all_54_1 = all_52_4
% 185.00/29.57  
% 185.00/29.57  Begin of proof
% 185.00/29.57  | 
% 185.00/29.57  | BETA: splitting (2) gives:
% 185.00/29.57  | 
% 185.00/29.57  | Case 1:
% 185.00/29.57  | | 
% 185.00/29.57  | |   (7)  all_54_1 = e3
% 185.00/29.57  | | 
% 185.00/29.57  | | COMBINE_EQS: (6), (7) imply:
% 185.00/29.57  | |   (8)  all_52_4 = e3
% 185.00/29.57  | | 
% 185.00/29.57  | | REDUCE: (1), (8) imply:
% 185.00/29.57  | |   (9)  $false
% 185.00/29.57  | | 
% 185.00/29.57  | | CLOSE: (9) is inconsistent.
% 185.00/29.57  | | 
% 185.00/29.57  | Case 2:
% 185.00/29.57  | | 
% 185.00/29.57  | |   (10)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 185.00/29.57  | | 
% 185.00/29.57  | | REF_CLOSE: (3), (4), (5), (6), (10) are inconsistent by sub-proof #1057.
% 185.00/29.57  | | 
% 185.00/29.57  | End of split
% 185.00/29.57  | 
% 185.00/29.57  End of proof
% 185.00/29.57  
% 185.00/29.57  Sub-proof #365 shows that the following formulas are inconsistent:
% 185.00/29.57  ----------------------------------------------------------------
% 185.00/29.57    (1)  op(e0, e0) = all_6_2
% 185.00/29.57    (2)   ~ (all_4_2 = e0)
% 185.00/29.57    (3)   ~ (all_6_2 = e1)
% 185.00/29.57    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.00/29.57         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.00/29.57    (5)   ~ (e1 = e0)
% 185.00/29.57    (6)  op(e1, e1) = all_14_2
% 185.00/29.57    (7)   ~ (e3 = e0)
% 185.00/29.57    (8)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.00/29.57         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.00/29.57    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.00/29.57         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.57    (10)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.00/29.57          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.00/29.57    (11)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.00/29.57          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.00/29.57    (12)  all_56_11 = e3
% 185.00/29.57    (13)   ~ (all_52_6 = e0)
% 185.00/29.57    (14)   ~ (e2 = e0)
% 185.00/29.57    (15)   ~ (e3 = e1)
% 185.00/29.57    (16)   ~ (all_52_4 = all_52_7)
% 185.00/29.57    (17)   ~ (all_6_2 = e2)
% 185.00/29.57    (18)  op(e2, e3) = all_52_1
% 185.00/29.57    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.57            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.57    (20)   ~ (all_52_6 = e2)
% 185.00/29.57    (21)   ~ (all_52_1 = e1)
% 185.00/29.57    (22)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.00/29.57          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.00/29.57    (23)  all_56_3 = e0
% 185.00/29.57    (24)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.00/29.57          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.00/29.57    (25)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.00/29.57          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.00/29.57    (26)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.00/29.57          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.00/29.57    (27)   ~ (all_52_1 = e0)
% 185.00/29.57    (28)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.00/29.57          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.00/29.57            e1)
% 185.00/29.57    (29)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.00/29.57          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.00/29.57    (30)   ~ (e3 = e2)
% 185.00/29.57    (31)  op(e3, e3) = e1
% 185.00/29.57    (32)   ~ (all_14_2 = e2)
% 185.00/29.57    (33)  op(e3, e1) = all_52_8
% 185.00/29.57    (34)  op(e3, e3) = all_4_2
% 185.00/29.57    (35)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.00/29.57          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.00/29.57    (36)  op(e3, e2) = all_52_4
% 185.00/29.57    (37)  op(e1, e2) = all_52_6
% 185.00/29.57    (38)   ~ (all_52_4 = e0)
% 185.00/29.57    (39)   ~ (e2 = e1)
% 185.00/29.57    (40)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.57          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.57            e2)
% 185.00/29.57    (41)  op(e3, e2) = e2
% 185.00/29.57    (42)  op(e0, e2) = all_52_7
% 185.00/29.57    (43)  op(e2, e2) = e0
% 185.00/29.57    (44)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.00/29.57          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.00/29.57    (45)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.00/29.57          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.00/29.57  
% 185.00/29.57  Begin of proof
% 185.00/29.57  | 
% 185.00/29.57  | BETA: splitting (29) gives:
% 185.00/29.57  | 
% 185.00/29.57  | Case 1:
% 185.00/29.57  | | 
% 185.00/29.57  | |   (46)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 185.00/29.57  | |           e2)
% 185.00/29.57  | | 
% 185.00/29.57  | | BETA: splitting (46) gives:
% 185.00/29.57  | | 
% 185.00/29.57  | | Case 1:
% 185.00/29.57  | | | 
% 185.00/29.57  | | |   (47)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.57  | | | 
% 185.00/29.57  | | | ALPHA: (47) implies:
% 185.00/29.57  | | |   (48)  all_56_9 = e2
% 185.00/29.57  | | | 
% 185.00/29.57  | | | BETA: splitting (9) gives:
% 185.00/29.57  | | | 
% 185.00/29.57  | | | Case 1:
% 185.00/29.57  | | | | 
% 185.00/29.57  | | | |   (49)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2)
% 185.00/29.57  | | | |           = e0)
% 185.00/29.57  | | | | 
% 185.00/29.57  | | | | REF_CLOSE: (2), (19), (34), (36), (38), (49) are inconsistent by
% 185.00/29.57  | | | |            sub-proof #1060.
% 185.00/29.57  | | | | 
% 185.00/29.57  | | | Case 2:
% 185.00/29.57  | | | | 
% 185.00/29.57  | | | |   (50)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0)
% 185.00/29.57  | | | |           = e0)
% 185.00/29.57  | | | | 
% 185.00/29.57  | | | | BETA: splitting (50) gives:
% 185.00/29.57  | | | | 
% 185.00/29.57  | | | | Case 1:
% 185.00/29.57  | | | | | 
% 185.00/29.57  | | | | |   (51)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.57  | | | | | 
% 185.00/29.57  | | | | | ALPHA: (51) implies:
% 185.00/29.57  | | | | |   (52)  op(e3, e1) = e0
% 185.00/29.57  | | | | | 
% 185.00/29.57  | | | | | BETA: splitting (24) gives:
% 185.00/29.57  | | | | | 
% 185.00/29.57  | | | | | Case 1:
% 185.00/29.57  | | | | | | 
% 185.00/29.57  | | | | | |   (53)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1,
% 185.00/29.57  | | | | | |             e2) = e2)
% 185.00/29.57  | | | | | | 
% 185.00/29.57  | | | | | | BETA: splitting (53) gives:
% 185.00/29.57  | | | | | | 
% 185.00/29.57  | | | | | | Case 1:
% 185.00/29.57  | | | | | | | 
% 185.00/29.57  | | | | | | |   (54)  all_56_6 = e2 & op(e1, e3) = e2
% 185.00/29.57  | | | | | | | 
% 185.00/29.57  | | | | | | | ALPHA: (54) implies:
% 185.00/29.57  | | | | | | |   (55)  all_56_6 = e2
% 185.00/29.57  | | | | | | | 
% 185.00/29.57  | | | | | | | BETA: splitting (44) gives:
% 185.00/29.57  | | | | | | | 
% 185.00/29.57  | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | 
% 185.00/29.57  | | | | | | | |   (56)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 &
% 185.00/29.57  | | | | | | | |           op(e2, e3) = e0)
% 185.00/29.57  | | | | | | | | 
% 185.00/29.57  | | | | | | | | REF_CLOSE: (2), (18), (19), (27), (34), (56) are inconsistent by
% 185.00/29.57  | | | | | | | |            sub-proof #929.
% 185.00/29.57  | | | | | | | | 
% 185.00/29.57  | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | 
% 185.00/29.57  | | | | | | | |   (57)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 &
% 185.00/29.57  | | | | | | | |           op(e0, e3) = e0)
% 185.00/29.57  | | | | | | | | 
% 185.00/29.57  | | | | | | | | BETA: splitting (57) gives:
% 185.00/29.57  | | | | | | | | 
% 185.00/29.57  | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | 
% 185.00/29.57  | | | | | | | | |   (58)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.57  | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | REF_CLOSE: (14), (55), (58) are inconsistent by sub-proof
% 185.00/29.57  | | | | | | | | |            #1455.
% 185.00/29.57  | | | | | | | | | 
% 185.00/29.57  | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | 
% 185.00/29.57  | | | | | | | | |   (59)  all_56_12 = e0 & op(e0, e3) = e0
% 185.00/29.57  | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | ALPHA: (59) implies:
% 185.00/29.57  | | | | | | | | |   (60)  all_56_12 = e0
% 185.00/29.57  | | | | | | | | |   (61)  op(e0, e3) = e0
% 185.00/29.57  | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | BETA: splitting (40) gives:
% 185.00/29.57  | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | |   (62)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2
% 185.00/29.57  | | | | | | | | | |           & op(e0, e2) = e2)
% 185.00/29.57  | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | BETA: splitting (62) gives:
% 185.00/29.57  | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | |   (63)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | REF_CLOSE: (14), (60), (63) are inconsistent by sub-proof
% 185.00/29.57  | | | | | | | | | | |            #1514.
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | |   (64)  all_56_13 = e2 & op(e0, e2) = e2
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | ALPHA: (64) implies:
% 185.00/29.57  | | | | | | | | | | |   (65)  op(e0, e2) = e2
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | REF_CLOSE: (16), (19), (36), (41), (42), (65) are
% 185.00/29.57  | | | | | | | | | | |            inconsistent by sub-proof #1342.
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | |   (66)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2
% 185.00/29.57  | | | | | | | | | |           & op(e0, e0) = e2)
% 185.00/29.57  | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | BETA: splitting (66) gives:
% 185.00/29.57  | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | |   (67)  all_56_14 = e2 & op(e0, e1) = e2
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | ALPHA: (67) implies:
% 185.00/29.57  | | | | | | | | | | |   (68)  all_56_14 = e2
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | BETA: splitting (4) gives:
% 185.00/29.57  | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | |   (69)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 185.00/29.57  | | | | | | | | | | | |           & op(e2, e1) = e3)
% 185.00/29.57  | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | BETA: splitting (69) gives:
% 185.00/29.57  | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | |   (70)  all_56_4 = e3 & op(e3, e1) = e3
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | ALPHA: (70) implies:
% 185.00/29.57  | | | | | | | | | | | | |   (71)  op(e3, e1) = e3
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | REF_CLOSE: (7), (19), (33), (52), (71) are inconsistent by
% 185.00/29.57  | | | | | | | | | | | | |            sub-proof #1577.
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | |   (72)  all_56_5 = e3 & op(e2, e1) = e3
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | ALPHA: (72) implies:
% 185.00/29.57  | | | | | | | | | | | | |   (73)  op(e2, e1) = e3
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | BETA: splitting (10) gives:
% 185.00/29.57  | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | |   (74)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 185.00/29.57  | | | | | | | | | | | | | |           & op(e1, e2) = e0)
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | BETA: splitting (74) gives:
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | |   (75)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | REF_CLOSE: (14), (55), (75) are inconsistent by sub-proof
% 185.00/29.57  | | | | | | | | | | | | | | |            #1455.
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | |   (76)  all_56_7 = e0 & op(e1, e2) = e0
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | REF_CLOSE: (13), (19), (37), (76) are inconsistent by
% 185.00/29.57  | | | | | | | | | | | | | | |            sub-proof #1199.
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | |   (77)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 185.00/29.57  | | | | | | | | | | | | | |           e0 & op(e1, e0) = e0)
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 185.00/29.57  | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | |   (78)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | ALPHA: (78) implies:
% 185.00/29.57  | | | | | | | | | | | | | | |   (79)  op(e1, e1) = e0
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | |   (80)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | |           & op(e2, e2) = e1)
% 185.00/29.57  | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18), (19), (21), (43), (80) are inconsistent
% 185.00/29.57  | | | | | | | | | | | | | | | |            by sub-proof #366.
% 185.00/29.57  | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | |   (81)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 185.00/29.57  | | | | | | | | | | | | | | | |           e1 & op(e2, e0) = e1)
% 185.00/29.57  | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | BETA: splitting (81) gives:
% 185.00/29.57  | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | |   (82)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | ALPHA: (82) implies:
% 185.00/29.57  | | | | | | | | | | | | | | | | |   (83)  op(e2, e1) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (19), (73), (83) are inconsistent by
% 185.00/29.57  | | | | | | | | | | | | | | | | |            sub-proof #1456.
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | |   (84)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | ALPHA: (84) implies:
% 185.00/29.57  | | | | | | | | | | | | | | | | |   (85)  all_56_10 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | |   (86)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 185.00/29.57  | | | | | | | | | | | | | | | | | |           & op(e3, e2) = e0)
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (19), (34), (36), (38), (86) are inconsistent
% 185.00/29.57  | | | | | | | | | | | | | | | | | |            by sub-proof #1060.
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | BETA: splitting (50) gives:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | ALPHA: (51) implies:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | |   (87)  all_56_4 = e0
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | |   (88)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | |           & op(e2, e1) = e1)
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | |   (89)  all_56_4 = e1 & op(e3, e1) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | ALPHA: (89) implies:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | |   (90)  op(e3, e1) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19), (52), (90) are inconsistent by
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1571.
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | |   (91)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | ALPHA: (91) implies:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | |   (92)  op(e2, e1) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14), (15), (19), (22), (23), (30), (35),
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | |            (39), (43), (85), (92) are inconsistent by
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | |            sub-proof #786.
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | |   (93)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | |           e1 & op(e0, e1) = e1)
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | |   (94)  all_56_8 = e1 & op(e1, e1) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | ALPHA: (94) implies:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | |   (95)  op(e1, e1) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (19), (79), (95) are inconsistent by
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1619.
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | |   (96)  all_56_14 = e1 & op(e0, e1) = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | ALPHA: (96) implies:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | |   (97)  all_56_14 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (68), (97) imply:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | |   (98)  e2 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (48), (98) imply:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | |   (99)  all_56_9 = e1
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14), (15), (19), (25), (26), (30), (31),
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | |            (33), (39), (52), (87), (99) are inconsistent by
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1375.
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | |   (100)  all_56_9 = e0 & op(e3, e0) = e0
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | ALPHA: (100) implies:
% 185.00/29.57  | | | | | | | | | | | | | | | | | | |   (101)  all_56_9 = e0
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (48), (101) are inconsistent by sub-proof
% 185.00/29.57  | | | | | | | | | | | | | | | | | | |            #1570.
% 185.00/29.57  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | | End of split
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | Case 2:
% 185.00/29.57  | | | | | | | | | | | | | | | 
% 185.00/29.57  | | | | | | | | | | | | | | |   (102)  all_56_11 = e0 & op(e1, e0) = e0
% 185.00/29.58  | | | | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | | | | | ALPHA: (102) implies:
% 185.00/29.58  | | | | | | | | | | | | | | |   (103)  all_56_11 = e0
% 185.00/29.58  | | | | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | | | | | REF_CLOSE: (7), (12), (103) are inconsistent by sub-proof
% 185.00/29.58  | | | | | | | | | | | | | | |            #1163.
% 185.00/29.58  | | | | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | | | | End of split
% 185.00/29.58  | | | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | | | End of split
% 185.00/29.58  | | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | | End of split
% 185.00/29.58  | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | Case 2:
% 185.00/29.58  | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | |   (104)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 185.00/29.58  | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 185.00/29.58  | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | | BETA: splitting (104) gives:
% 185.00/29.58  | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | | Case 1:
% 185.00/29.58  | | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | | |   (105)  all_56_8 = e3 & op(e1, e1) = e3
% 185.00/29.58  | | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | | | ALPHA: (105) implies:
% 185.00/29.58  | | | | | | | | | | | | |   (106)  op(e1, e1) = e3
% 185.00/29.58  | | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | | | REF_CLOSE: (7), (10), (12), (13), (14), (19), (37), (55),
% 185.00/29.58  | | | | | | | | | | | | |            (106) are inconsistent by sub-proof #1003.
% 185.00/29.58  | | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | | Case 2:
% 185.00/29.58  | | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | | |   (107)  all_56_14 = e3 & op(e0, e1) = e3
% 185.00/29.58  | | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | | | ALPHA: (107) implies:
% 185.00/29.58  | | | | | | | | | | | | |   (108)  all_56_14 = e3
% 185.00/29.58  | | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | | | REF_CLOSE: (1), (3), (5), (14), (15), (17), (19), (28), (30),
% 185.00/29.58  | | | | | | | | | | | | |            (39), (40), (60), (61), (108) are inconsistent by
% 185.00/29.58  | | | | | | | | | | | | |            sub-proof #1506.
% 185.00/29.58  | | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | | End of split
% 185.00/29.58  | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | End of split
% 185.00/29.58  | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | Case 2:
% 185.00/29.58  | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | |   (109)  all_56_15 = e2 & op(e0, e0) = e2
% 185.00/29.58  | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | ALPHA: (109) implies:
% 185.00/29.58  | | | | | | | | | | |   (110)  op(e0, e0) = e2
% 185.00/29.58  | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | REF_CLOSE: (1), (17), (19), (110) are inconsistent by
% 185.00/29.58  | | | | | | | | | | |            sub-proof #1511.
% 185.00/29.58  | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | End of split
% 185.00/29.58  | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | End of split
% 185.00/29.58  | | | | | | | | | 
% 185.00/29.58  | | | | | | | | End of split
% 185.00/29.58  | | | | | | | | 
% 185.00/29.58  | | | | | | | End of split
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | Case 2:
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | |   (111)  all_56_7 = e2 & op(e1, e2) = e2
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | | ALPHA: (111) implies:
% 185.00/29.58  | | | | | | |   (112)  op(e1, e2) = e2
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | | REF_CLOSE: (19), (20), (37), (112) are inconsistent by sub-proof
% 185.00/29.58  | | | | | | |            #1614.
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | End of split
% 185.00/29.58  | | | | | | 
% 185.00/29.58  | | | | | Case 2:
% 185.00/29.58  | | | | | | 
% 185.00/29.58  | | | | | |   (113)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 &
% 185.00/29.58  | | | | | |            op(e1, e0) = e2)
% 185.00/29.58  | | | | | | 
% 185.00/29.58  | | | | | | BETA: splitting (113) gives:
% 185.00/29.58  | | | | | | 
% 185.00/29.58  | | | | | | Case 1:
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | |   (114)  all_56_8 = e2 & op(e1, e1) = e2
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | | ALPHA: (114) implies:
% 185.00/29.58  | | | | | | |   (115)  op(e1, e1) = e2
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | | REF_CLOSE: (6), (19), (32), (115) are inconsistent by sub-proof
% 185.00/29.58  | | | | | | |            #422.
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | Case 2:
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | |   (116)  all_56_11 = e2 & op(e1, e0) = e2
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | | ALPHA: (116) implies:
% 185.00/29.58  | | | | | | |   (117)  all_56_11 = e2
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | | REF_CLOSE: (12), (30), (117) are inconsistent by sub-proof #1482.
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | End of split
% 185.00/29.58  | | | | | | 
% 185.00/29.58  | | | | | End of split
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | Case 2:
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | |   (118)  all_56_9 = e0 & op(e3, e0) = e0
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | | REF_CLOSE: (14), (48), (118) are inconsistent by sub-proof #1574.
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | End of split
% 185.00/29.58  | | | | 
% 185.00/29.58  | | | End of split
% 185.00/29.58  | | | 
% 185.00/29.58  | | Case 2:
% 185.00/29.58  | | | 
% 185.00/29.58  | | |   (119)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.58  | | | 
% 185.00/29.58  | | | ALPHA: (119) implies:
% 185.00/29.58  | | |   (120)  all_56_10 = e2
% 185.00/29.58  | | | 
% 185.00/29.58  | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (12), (14), (15), (19),
% 185.00/29.58  | | |            (25), (26), (30), (31), (33), (34), (36), (38), (39), (120) are
% 185.00/29.58  | | |            inconsistent by sub-proof #620.
% 185.00/29.58  | | | 
% 185.00/29.58  | | End of split
% 185.00/29.58  | | 
% 185.00/29.58  | Case 2:
% 185.00/29.58  | | 
% 185.00/29.58  | |   (121)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.58  | |            e2)
% 185.00/29.58  | | 
% 185.00/29.58  | | REF_CLOSE: (1), (12), (17), (19), (30), (121) are inconsistent by sub-proof
% 185.00/29.58  | |            #1158.
% 185.00/29.58  | | 
% 185.00/29.58  | End of split
% 185.00/29.58  | 
% 185.00/29.58  End of proof
% 185.00/29.58  
% 185.00/29.58  Sub-proof #366 shows that the following formulas are inconsistent:
% 185.00/29.58  ----------------------------------------------------------------
% 185.00/29.58    (1)   ~ (e1 = e0)
% 185.00/29.58    (2)  op(e2, e3) = all_52_1
% 185.00/29.58    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.58    (4)   ~ (all_52_1 = e1)
% 185.00/29.58    (5)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 185.00/29.58    (6)  op(e2, e2) = e0
% 185.00/29.58  
% 185.00/29.58  Begin of proof
% 185.00/29.58  | 
% 185.00/29.58  | BETA: splitting (5) gives:
% 185.00/29.58  | 
% 185.00/29.58  | Case 1:
% 185.00/29.58  | | 
% 185.00/29.58  | |   (7)  all_56_2 = e1 & op(e2, e3) = e1
% 185.00/29.58  | | 
% 185.00/29.58  | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #1352.
% 185.00/29.58  | | 
% 185.00/29.58  | Case 2:
% 185.00/29.58  | | 
% 185.00/29.58  | |   (8)  all_56_3 = e1 & op(e2, e2) = e1
% 185.00/29.58  | | 
% 185.00/29.58  | | ALPHA: (8) implies:
% 185.00/29.58  | |   (9)  op(e2, e2) = e1
% 185.00/29.58  | | 
% 185.00/29.58  | | REF_CLOSE: (1), (3), (6), (9) are inconsistent by sub-proof #1310.
% 185.00/29.58  | | 
% 185.00/29.58  | End of split
% 185.00/29.58  | 
% 185.00/29.58  End of proof
% 185.00/29.58  
% 185.00/29.58  Sub-proof #367 shows that the following formulas are inconsistent:
% 185.00/29.58  ----------------------------------------------------------------
% 185.00/29.58    (1)   ~ (e2 = e0)
% 185.00/29.58    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.00/29.58         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.58    (3)   ~ (e3 = e1)
% 185.00/29.58    (4)   ~ (all_52_4 = all_52_7)
% 185.00/29.58    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.58    (6)   ~ (all_52_6 = e2)
% 185.00/29.58    (7)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 185.00/29.58    (8)   ~ (e3 = e2)
% 185.00/29.58    (9)  op(e3, e3) = e1
% 185.00/29.58    (10)  op(e3, e2) = all_52_4
% 185.00/29.58    (11)  op(e1, e2) = all_52_6
% 185.00/29.58    (12)  op(e3, e2) = e2
% 185.00/29.58    (13)  op(e0, e2) = all_52_7
% 185.00/29.58    (14)  op(e2, e2) = e0
% 185.00/29.58  
% 185.00/29.58  Begin of proof
% 185.00/29.58  | 
% 185.00/29.58  | BETA: splitting (7) gives:
% 185.00/29.58  | 
% 185.00/29.58  | Case 1:
% 185.00/29.58  | | 
% 185.00/29.58  | |   (15)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.58  | | 
% 185.00/29.58  | | ALPHA: (15) implies:
% 185.00/29.58  | |   (16)  op(e3, e3) = e3
% 185.00/29.58  | | 
% 185.00/29.58  | | REF_CLOSE: (3), (5), (9), (16) are inconsistent by sub-proof #1600.
% 185.00/29.58  | | 
% 185.00/29.58  | Case 2:
% 185.00/29.58  | | 
% 185.00/29.58  | |   (17)  all_56_1 = e3 & op(e3, e2) = e3
% 185.00/29.58  | | 
% 185.00/29.58  | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (10), (11), (12), (13), (14), (17)
% 185.00/29.58  | |            are inconsistent by sub-proof #421.
% 185.00/29.58  | | 
% 185.00/29.58  | End of split
% 185.00/29.58  | 
% 185.00/29.58  End of proof
% 185.00/29.58  
% 185.00/29.58  Sub-proof #368 shows that the following formulas are inconsistent:
% 185.00/29.58  ----------------------------------------------------------------
% 185.00/29.58    (1)  op(e0, e0) = all_6_2
% 185.00/29.58    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.00/29.58         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.00/29.58    (3)   ~ (e1 = e0)
% 185.00/29.58    (4)   ~ (e3 = e0)
% 185.00/29.58    (5)  op(e0, e3) = e1
% 185.00/29.58    (6)  op(e2, e1) = e1
% 185.00/29.58    (7)   ~ (e2 = e0)
% 185.00/29.58    (8)   ~ (e3 = e1)
% 185.00/29.58    (9)   ~ (all_6_2 = e2)
% 185.00/29.58    (10)  all_56_5 = e1
% 185.00/29.58    (11)   ~ (all_52_7 = e0)
% 185.00/29.58    (12)  op(e0, e3) = all_52_3
% 185.00/29.58    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.58            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.58    (14)  all_56_4 = e1
% 185.00/29.58    (15)   ~ (e3 = e2)
% 185.00/29.58    (16)  all_56_12 = e1
% 185.00/29.58    (17)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.00/29.58          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.00/29.58    (18)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.00/29.58          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.00/29.58            e3)
% 185.00/29.58    (19)   ~ (e2 = e1)
% 185.00/29.58    (20)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.58          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.58            e2)
% 185.00/29.58    (21)  op(e0, e2) = all_52_7
% 185.00/29.58    (22)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.58              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.00/29.58                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.00/29.58                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.00/29.58    (23)  all_56_14 = e0
% 185.00/29.58  
% 185.00/29.58  Begin of proof
% 185.00/29.58  | 
% 185.00/29.58  | BETA: splitting (20) gives:
% 185.00/29.58  | 
% 185.00/29.58  | Case 1:
% 185.00/29.58  | | 
% 185.00/29.58  | |   (24)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 185.00/29.58  | |           e2)
% 185.00/29.58  | | 
% 185.00/29.58  | | BETA: splitting (24) gives:
% 185.00/29.58  | | 
% 185.00/29.58  | | Case 1:
% 185.00/29.58  | | | 
% 185.00/29.58  | | |   (25)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.58  | | | 
% 185.00/29.58  | | | REF_CLOSE: (16), (19), (25) are inconsistent by sub-proof #1591.
% 185.00/29.58  | | | 
% 185.00/29.58  | | Case 2:
% 185.00/29.58  | | | 
% 185.00/29.58  | | |   (26)  all_56_13 = e2 & op(e0, e2) = e2
% 185.00/29.58  | | | 
% 185.00/29.58  | | | ALPHA: (26) implies:
% 185.00/29.58  | | |   (27)  all_56_13 = e2
% 185.00/29.58  | | | 
% 185.00/29.58  | | | BETA: splitting (17) gives:
% 185.00/29.58  | | | 
% 185.00/29.58  | | | Case 1:
% 185.00/29.58  | | | | 
% 185.00/29.58  | | | |   (28)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1)
% 185.00/29.58  | | | |           = e2)
% 185.00/29.58  | | | | 
% 185.00/29.58  | | | | BETA: splitting (28) gives:
% 185.00/29.58  | | | | 
% 185.00/29.58  | | | | Case 1:
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | |   (29)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | | ALPHA: (29) implies:
% 185.00/29.58  | | | | |   (30)  all_56_4 = e2
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | | COMBINE_EQS: (14), (30) imply:
% 185.00/29.58  | | | | |   (31)  e2 = e1
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (11), (12), (13), (16),
% 185.00/29.58  | | | | |            (18), (19), (20), (21), (22), (23), (27), (31) are
% 185.00/29.58  | | | | |            inconsistent by sub-proof #385.
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | Case 2:
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | |   (32)  all_56_5 = e2 & op(e2, e1) = e2
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | | ALPHA: (32) implies:
% 185.00/29.58  | | | | |   (33)  all_56_5 = e2
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | | COMBINE_EQS: (10), (33) imply:
% 185.00/29.58  | | | | |   (34)  e2 = e1
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (11), (12), (13), (16),
% 185.00/29.58  | | | | |            (18), (19), (20), (21), (22), (23), (27), (34) are
% 185.00/29.58  | | | | |            inconsistent by sub-proof #385.
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | End of split
% 185.00/29.58  | | | | 
% 185.00/29.58  | | | Case 2:
% 185.00/29.58  | | | | 
% 185.00/29.58  | | | |   (35)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1)
% 185.00/29.58  | | | |           = e2)
% 185.00/29.58  | | | | 
% 185.00/29.58  | | | | BETA: splitting (35) gives:
% 185.00/29.58  | | | | 
% 185.00/29.58  | | | | Case 1:
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | |   (36)  all_56_8 = e2 & op(e1, e1) = e2
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | | ALPHA: (36) implies:
% 185.00/29.58  | | | | |   (37)  op(e1, e1) = e2
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | | REF_CLOSE: (2), (4), (6), (8), (13), (14), (15), (23), (37) are
% 185.00/29.58  | | | | |            inconsistent by sub-proof #369.
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | Case 2:
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | |   (38)  all_56_14 = e2 & op(e0, e1) = e2
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | | ALPHA: (38) implies:
% 185.00/29.58  | | | | |   (39)  all_56_14 = e2
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | | REF_CLOSE: (7), (23), (39) are inconsistent by sub-proof #1437.
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | End of split
% 185.00/29.58  | | | | 
% 185.00/29.58  | | | End of split
% 185.00/29.58  | | | 
% 185.00/29.58  | | End of split
% 185.00/29.58  | | 
% 185.00/29.58  | Case 2:
% 185.00/29.58  | | 
% 185.00/29.58  | |   (40)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.58  | |           e2)
% 185.00/29.58  | | 
% 185.00/29.58  | | REF_CLOSE: (1), (7), (9), (13), (23), (40) are inconsistent by sub-proof
% 185.00/29.58  | |            #1300.
% 185.00/29.58  | | 
% 185.00/29.58  | End of split
% 185.00/29.58  | 
% 185.00/29.58  End of proof
% 185.00/29.58  
% 185.00/29.58  Sub-proof #369 shows that the following formulas are inconsistent:
% 185.00/29.58  ----------------------------------------------------------------
% 185.00/29.58    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.00/29.58         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.00/29.58    (2)   ~ (e3 = e0)
% 185.00/29.58    (3)  op(e2, e1) = e1
% 185.00/29.58    (4)   ~ (e3 = e1)
% 185.00/29.58    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.58    (6)  all_56_4 = e1
% 185.00/29.58    (7)   ~ (e3 = e2)
% 185.00/29.58    (8)  op(e1, e1) = e2
% 185.00/29.58    (9)  all_56_14 = e0
% 185.00/29.58  
% 185.00/29.58  Begin of proof
% 185.00/29.58  | 
% 185.00/29.58  | BETA: splitting (1) gives:
% 185.00/29.58  | 
% 185.00/29.58  | Case 1:
% 185.00/29.58  | | 
% 185.00/29.58  | |   (10)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 185.00/29.58  | |           e3)
% 185.00/29.58  | | 
% 185.00/29.58  | | BETA: splitting (10) gives:
% 185.00/29.58  | | 
% 185.00/29.58  | | Case 1:
% 185.00/29.58  | | | 
% 185.00/29.58  | | |   (11)  all_56_4 = e3 & op(e3, e1) = e3
% 185.00/29.58  | | | 
% 185.00/29.58  | | | ALPHA: (11) implies:
% 185.00/29.58  | | |   (12)  all_56_4 = e3
% 185.00/29.58  | | | 
% 185.00/29.58  | | | REF_CLOSE: (4), (6), (12) are inconsistent by sub-proof #1567.
% 185.00/29.58  | | | 
% 185.00/29.58  | | Case 2:
% 185.00/29.58  | | | 
% 185.00/29.58  | | |   (13)  all_56_5 = e3 & op(e2, e1) = e3
% 185.00/29.58  | | | 
% 185.00/29.58  | | | ALPHA: (13) implies:
% 185.00/29.58  | | |   (14)  op(e2, e1) = e3
% 185.00/29.58  | | | 
% 185.00/29.58  | | | REF_CLOSE: (3), (4), (5), (14) are inconsistent by sub-proof #1456.
% 185.00/29.58  | | | 
% 185.00/29.58  | | End of split
% 185.00/29.58  | | 
% 185.00/29.58  | Case 2:
% 185.00/29.58  | | 
% 185.00/29.58  | |   (15)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 185.00/29.58  | |           e3)
% 185.00/29.58  | | 
% 185.00/29.58  | | REF_CLOSE: (2), (5), (7), (8), (9), (15) are inconsistent by sub-proof #370.
% 185.00/29.58  | | 
% 185.00/29.58  | End of split
% 185.00/29.58  | 
% 185.00/29.58  End of proof
% 185.00/29.58  
% 185.00/29.58  Sub-proof #370 shows that the following formulas are inconsistent:
% 185.00/29.58  ----------------------------------------------------------------
% 185.00/29.58    (1)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.00/29.58    (2)   ~ (e3 = e0)
% 185.00/29.58    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.58    (4)   ~ (e3 = e2)
% 185.00/29.58    (5)  op(e1, e1) = e2
% 185.00/29.58    (6)  all_56_14 = e0
% 185.00/29.58  
% 185.00/29.58  Begin of proof
% 185.00/29.58  | 
% 185.00/29.58  | BETA: splitting (1) gives:
% 185.00/29.58  | 
% 185.00/29.58  | Case 1:
% 185.00/29.58  | | 
% 185.00/29.58  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 185.00/29.58  | | 
% 185.00/29.58  | | ALPHA: (7) implies:
% 185.00/29.58  | |   (8)  op(e1, e1) = e3
% 185.00/29.58  | | 
% 185.00/29.58  | | REF_CLOSE: (3), (4), (5), (8) are inconsistent by sub-proof #1164.
% 185.00/29.58  | | 
% 185.00/29.58  | Case 2:
% 185.00/29.58  | | 
% 185.00/29.58  | |   (9)  all_56_14 = e3 & op(e0, e1) = e3
% 185.00/29.58  | | 
% 185.00/29.58  | | ALPHA: (9) implies:
% 185.00/29.58  | |   (10)  all_56_14 = e3
% 185.00/29.58  | | 
% 185.00/29.58  | | REF_CLOSE: (2), (6), (10) are inconsistent by sub-proof #1470.
% 185.00/29.58  | | 
% 185.00/29.58  | End of split
% 185.00/29.58  | 
% 185.00/29.58  End of proof
% 185.00/29.58  
% 185.00/29.58  Sub-proof #371 shows that the following formulas are inconsistent:
% 185.00/29.58  ----------------------------------------------------------------
% 185.00/29.58    (1)  op(e0, e0) = all_6_2
% 185.00/29.58    (2)   ~ (all_4_2 = e0)
% 185.00/29.58    (3)  all_56_6 = e0
% 185.00/29.58    (4)  op(e1, e3) = e0
% 185.00/29.58    (5)   ~ (e1 = e0)
% 185.00/29.58    (6)  op(e1, e3) = all_52_2
% 185.00/29.58    (7)  all_56_2 = e2
% 185.00/29.58    (8)   ~ (e3 = e0)
% 185.00/29.58    (9)  op(e0, e3) = e1
% 185.00/29.58    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.00/29.58          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.58    (11)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.00/29.58          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.00/29.58    (12)   ~ (all_40_2 = e1) | ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 185.00/29.58            $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 185.00/29.58            $i(all_40_1))
% 185.00/29.58    (13)   ~ (e2 = e0)
% 185.00/29.58    (14)   ~ (e3 = e1)
% 185.00/29.58    (15)   ~ (all_6_2 = e2)
% 185.00/29.58    (16)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.58          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.58    (17)  op(e0, e3) = all_52_3
% 185.00/29.58    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.58            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.58    (19)  all_56_3 = e0
% 185.00/29.58    (20)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.00/29.58          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.00/29.58    (21)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.00/29.58          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.00/29.58    (22)   ~ (e3 = e2)
% 185.00/29.58    (23)  op(e3, e3) = e1
% 185.00/29.58    (24)  op(e3, e3) = all_4_2
% 185.00/29.58    (25)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.00/29.58          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.00/29.58    (26)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.00/29.58          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.00/29.58    (27)  op(e3, e2) = all_52_4
% 185.00/29.58    (28)  all_56_8 = e3
% 185.00/29.58    (29)   ~ (all_52_4 = e0)
% 185.00/29.58    (30)  all_56_9 = e1
% 185.00/29.58    (31)   ~ (e2 = e1)
% 185.00/29.58    (32)  all_40_2 = e1
% 185.00/29.58    (33)  op(e2, e2) = e0
% 185.00/29.58    (34)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.00/29.58          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.00/29.58  
% 185.00/29.58  Begin of proof
% 185.00/29.58  | 
% 185.00/29.58  | BETA: splitting (10) gives:
% 185.00/29.58  | 
% 185.00/29.58  | Case 1:
% 185.00/29.58  | | 
% 185.00/29.58  | |   (35)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 185.00/29.58  | |           e0)
% 185.00/29.58  | | 
% 185.00/29.58  | | REF_CLOSE: (2), (18), (24), (27), (29), (35) are inconsistent by sub-proof
% 185.00/29.58  | |            #1060.
% 185.00/29.58  | | 
% 185.00/29.58  | Case 2:
% 185.00/29.58  | | 
% 185.00/29.58  | |   (36)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 185.00/29.58  | |           e0)
% 185.00/29.58  | | 
% 185.00/29.58  | | BETA: splitting (36) gives:
% 185.00/29.58  | | 
% 185.00/29.58  | | Case 1:
% 185.00/29.58  | | | 
% 185.00/29.58  | | |   (37)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.58  | | | 
% 185.00/29.58  | | | ALPHA: (37) implies:
% 185.00/29.58  | | |   (38)  all_56_4 = e0
% 185.00/29.58  | | | 
% 185.00/29.58  | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 185.00/29.58  | | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (25),
% 185.00/29.58  | | |            (26), (28), (30), (31), (32), (33), (34), (38) are inconsistent
% 185.00/29.58  | | |            by sub-proof #377.
% 185.00/29.58  | | | 
% 185.00/29.58  | | Case 2:
% 185.00/29.58  | | | 
% 185.00/29.58  | | |   (39)  all_56_9 = e0 & op(e3, e0) = e0
% 185.00/29.58  | | | 
% 185.00/29.58  | | | REF_CLOSE: (5), (30), (39) are inconsistent by sub-proof #1505.
% 185.00/29.58  | | | 
% 185.00/29.58  | | End of split
% 185.00/29.58  | | 
% 185.00/29.58  | End of split
% 185.00/29.58  | 
% 185.00/29.58  End of proof
% 185.00/29.58  
% 185.00/29.58  Sub-proof #372 shows that the following formulas are inconsistent:
% 185.00/29.58  ----------------------------------------------------------------
% 185.00/29.58    (1)   ~ (e3 = e0)
% 185.00/29.58    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.58    (3)   ~ (e3 = e2)
% 185.00/29.58    (4)  all_56_1 = e2
% 185.00/29.58    (5)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 185.00/29.58    (6)  op(e2, e2) = e0
% 185.00/29.58  
% 185.00/29.58  Begin of proof
% 185.00/29.58  | 
% 185.00/29.58  | BETA: splitting (5) gives:
% 185.00/29.58  | 
% 185.00/29.58  | Case 1:
% 185.00/29.58  | | 
% 185.00/29.58  | |   (7)  all_56_1 = e3 & op(e3, e2) = e3
% 185.00/29.58  | | 
% 185.00/29.58  | | ALPHA: (7) implies:
% 185.00/29.58  | |   (8)  all_56_1 = e3
% 185.00/29.58  | | 
% 185.00/29.58  | | COMBINE_EQS: (4), (8) imply:
% 185.00/29.58  | |   (9)  e3 = e2
% 185.00/29.58  | | 
% 185.00/29.58  | | REDUCE: (3), (9) imply:
% 185.00/29.58  | |   (10)  $false
% 185.00/29.58  | | 
% 185.00/29.58  | | CLOSE: (10) is inconsistent.
% 185.00/29.58  | | 
% 185.00/29.58  | Case 2:
% 185.00/29.58  | | 
% 185.00/29.58  | |   (11)  all_56_3 = e3 & op(e2, e2) = e3
% 185.00/29.58  | | 
% 185.00/29.58  | | ALPHA: (11) implies:
% 185.00/29.58  | |   (12)  op(e2, e2) = e3
% 185.00/29.58  | | 
% 185.00/29.58  | | REF_CLOSE: (1), (2), (6), (12) are inconsistent by sub-proof #1015.
% 185.00/29.58  | | 
% 185.00/29.58  | End of split
% 185.00/29.58  | 
% 185.00/29.58  End of proof
% 185.00/29.58  
% 185.00/29.58  Sub-proof #373 shows that the following formulas are inconsistent:
% 185.00/29.58  ----------------------------------------------------------------
% 185.00/29.58    (1)  op(e0, e0) = all_6_2
% 185.00/29.58    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.00/29.58         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.00/29.58    (3)  all_56_6 = e0
% 185.00/29.58    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.00/29.58         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.00/29.58    (5)   ~ (all_6_2 = e1)
% 185.00/29.58    (6)  op(e1, e3) = e0
% 185.00/29.58    (7)  op(e1, e1) = e3
% 185.00/29.58    (8)   ~ (e1 = e0)
% 185.00/29.58    (9)  op(e1, e3) = all_52_2
% 185.00/29.58    (10)   ~ (all_52_9 = e0)
% 185.00/29.58    (11)  all_56_2 = e2
% 185.00/29.58    (12)   ~ (e3 = e0)
% 185.00/29.58    (13)  op(e0, e3) = e1
% 185.00/29.58    (14)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.00/29.58          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.00/29.58    (15)  op(e2, e1) = all_52_9
% 185.00/29.58    (16)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.00/29.58          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.00/29.58    (17)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.00/29.58          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.00/29.58    (18)   ~ (all_40_2 = e1) | ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 185.00/29.58            $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 185.00/29.58            $i(all_40_1))
% 185.00/29.58    (19)   ~ (all_52_6 = e0)
% 185.00/29.58    (20)   ~ (e2 = e0)
% 185.00/29.58    (21)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.00/29.58          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.58    (22)   ~ (e3 = e1)
% 185.00/29.58    (23)   ~ (all_6_2 = e2)
% 185.00/29.58    (24)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.58          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.58    (25)  op(e0, e3) = all_52_3
% 185.00/29.58    (26)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.58            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.58    (27)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.00/29.58          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.00/29.58    (28)  all_56_3 = e0
% 185.00/29.58    (29)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.00/29.58          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.00/29.58    (30)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.00/29.58          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.00/29.58    (31)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.00/29.58          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.00/29.58    (32)   ~ (e3 = e2)
% 185.00/29.58    (33)  op(e3, e3) = e1
% 185.00/29.58    (34)  all_56_12 = e1
% 185.00/29.58    (35)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.00/29.58          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.00/29.58    (36)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.00/29.58          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.00/29.58    (37)  all_56_1 = e1
% 185.00/29.58    (38)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.58    (39)  op(e1, e2) = all_52_6
% 185.00/29.58    (40)  all_56_8 = e3
% 185.00/29.58    (41)   ~ (e2 = e1)
% 185.00/29.58    (42)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.58          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.58            e2)
% 185.00/29.58    (43)  all_40_2 = e1
% 185.00/29.58    (44)  op(e2, e2) = e0
% 185.00/29.58    (45)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.00/29.58          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.00/29.58  
% 185.00/29.58  Begin of proof
% 185.00/29.58  | 
% 185.00/29.58  | BETA: splitting (24) gives:
% 185.00/29.58  | 
% 185.00/29.58  | Case 1:
% 185.00/29.58  | | 
% 185.00/29.58  | |   (46)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 185.00/29.58  | |           e3)
% 185.00/29.58  | | 
% 185.00/29.58  | | BETA: splitting (46) gives:
% 185.00/29.58  | | 
% 185.00/29.58  | | Case 1:
% 185.00/29.58  | | | 
% 185.00/29.58  | | |   (47)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.58  | | | 
% 185.00/29.58  | | | ALPHA: (47) implies:
% 185.00/29.58  | | |   (48)  all_56_0 = e3
% 185.00/29.58  | | |   (49)  op(e3, e3) = e3
% 185.00/29.58  | | | 
% 185.00/29.58  | | | BETA: splitting (36) gives:
% 185.00/29.58  | | | 
% 185.00/29.58  | | | Case 1:
% 185.00/29.58  | | | | 
% 185.00/29.58  | | | |   (50)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2)
% 185.00/29.58  | | | |           = e3)
% 185.00/29.58  | | | | 
% 185.00/29.58  | | | | REF_CLOSE: (11), (12), (26), (32), (44), (50) are inconsistent by
% 185.00/29.58  | | | |            sub-proof #384.
% 185.00/29.58  | | | | 
% 185.00/29.58  | | | Case 2:
% 185.00/29.58  | | | | 
% 185.00/29.58  | | | |   (51)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0)
% 185.00/29.58  | | | |           = e3)
% 185.00/29.58  | | | | 
% 185.00/29.58  | | | | BETA: splitting (51) gives:
% 185.00/29.58  | | | | 
% 185.00/29.58  | | | | Case 1:
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | |   (52)  all_56_5 = e3 & op(e2, e1) = e3
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | | ALPHA: (52) implies:
% 185.00/29.58  | | | | |   (53)  all_56_5 = e3
% 185.00/29.58  | | | | |   (54)  op(e2, e1) = e3
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | | BETA: splitting (4) gives:
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | | Case 1:
% 185.00/29.58  | | | | | | 
% 185.00/29.58  | | | | | |   (55)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2,
% 185.00/29.58  | | | | | |             e2) = e3)
% 185.00/29.58  | | | | | | 
% 185.00/29.58  | | | | | | REF_CLOSE: (3), (11), (12), (13), (22), (24), (25), (26), (32),
% 185.00/29.58  | | | | | |            (37), (44), (48), (55) are inconsistent by sub-proof
% 185.00/29.58  | | | | | |            #383.
% 185.00/29.58  | | | | | | 
% 185.00/29.58  | | | | | Case 2:
% 185.00/29.58  | | | | | | 
% 185.00/29.58  | | | | | |   (56)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0,
% 185.00/29.58  | | | | | |             e2) = e3)
% 185.00/29.58  | | | | | | 
% 185.00/29.58  | | | | | | REF_CLOSE: (1), (2), (3), (6), (8), (9), (10), (11), (12), (13),
% 185.00/29.58  | | | | | |            (15), (18), (20), (22), (23), (24), (25), (26), (27),
% 185.00/29.58  | | | | | |            (29), (32), (34), (35), (40), (41), (42), (43), (45),
% 185.00/29.58  | | | | | |            (48), (53), (54), (56) are inconsistent by sub-proof
% 185.00/29.58  | | | | | |            #379.
% 185.00/29.58  | | | | | | 
% 185.00/29.58  | | | | | End of split
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | Case 2:
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | |   (57)  all_56_10 = e3 & op(e2, e0) = e3
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | | ALPHA: (57) implies:
% 185.00/29.58  | | | | |   (58)  all_56_10 = e3
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | | BETA: splitting (4) gives:
% 185.00/29.58  | | | | | 
% 185.00/29.58  | | | | | Case 1:
% 185.00/29.58  | | | | | | 
% 185.00/29.58  | | | | | |   (59)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2,
% 185.00/29.58  | | | | | |             e2) = e3)
% 185.00/29.58  | | | | | | 
% 185.00/29.58  | | | | | | REF_CLOSE: (3), (11), (12), (13), (22), (24), (25), (26), (32),
% 185.00/29.58  | | | | | |            (37), (44), (48), (59) are inconsistent by sub-proof
% 185.00/29.58  | | | | | |            #383.
% 185.00/29.58  | | | | | | 
% 185.00/29.58  | | | | | Case 2:
% 185.00/29.58  | | | | | | 
% 185.00/29.58  | | | | | |   (60)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0,
% 185.00/29.58  | | | | | |             e2) = e3)
% 185.00/29.58  | | | | | | 
% 185.00/29.58  | | | | | | BETA: splitting (60) gives:
% 185.00/29.58  | | | | | | 
% 185.00/29.58  | | | | | | Case 1:
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | |   (61)  all_56_7 = e3 & op(e1, e2) = e3
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | | REF_CLOSE: (2), (3), (6), (8), (9), (11), (12), (13), (18), (20),
% 185.00/29.58  | | | | | | |            (22), (24), (25), (26), (29), (32), (40), (41), (43),
% 185.00/29.58  | | | | | | |            (48), (61) are inconsistent by sub-proof #382.
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | Case 2:
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | |   (62)  all_56_13 = e3 & op(e0, e2) = e3
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | | ALPHA: (62) implies:
% 185.00/29.58  | | | | | | |   (63)  all_56_13 = e3
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | | BETA: splitting (42) gives:
% 185.00/29.58  | | | | | | | 
% 185.00/29.58  | | | | | | | Case 1:
% 185.00/29.58  | | | | | | | | 
% 185.00/29.58  | | | | | | | |   (64)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 &
% 185.00/29.58  | | | | | | | |           op(e0, e2) = e2)
% 185.00/29.58  | | | | | | | | 
% 185.00/29.58  | | | | | | | | REF_CLOSE: (32), (34), (41), (63), (64) are inconsistent by
% 185.00/29.58  | | | | | | | |            sub-proof #381.
% 185.00/29.58  | | | | | | | | 
% 185.00/29.58  | | | | | | | Case 2:
% 185.00/29.58  | | | | | | | | 
% 185.00/29.58  | | | | | | | |   (65)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 &
% 185.00/29.58  | | | | | | | |           op(e0, e0) = e2)
% 185.00/29.58  | | | | | | | | 
% 185.00/29.58  | | | | | | | | BETA: splitting (65) gives:
% 185.00/29.58  | | | | | | | | 
% 185.00/29.58  | | | | | | | | Case 1:
% 185.00/29.58  | | | | | | | | | 
% 185.00/29.58  | | | | | | | | |   (66)  all_56_14 = e2 & op(e0, e1) = e2
% 185.00/29.58  | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | ALPHA: (66) implies:
% 185.00/29.58  | | | | | | | | |   (67)  all_56_14 = e2
% 185.00/29.58  | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | BETA: splitting (27) gives:
% 185.00/29.58  | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | Case 1:
% 185.00/29.58  | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | |   (68)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 &
% 185.00/29.58  | | | | | | | | | |           op(e2, e1) = e0)
% 185.00/29.58  | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | BETA: splitting (68) gives:
% 185.00/29.58  | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | Case 1:
% 185.00/29.58  | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | |   (69)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.58  | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | ALPHA: (69) implies:
% 185.00/29.58  | | | | | | | | | | |   (70)  all_56_4 = e0
% 185.00/29.58  | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | BETA: splitting (14) gives:
% 185.00/29.58  | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | Case 1:
% 185.00/29.58  | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | |   (71)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.00/29.58  | | | | | | | | | | | |           e1 & op(e2, e0) = e1)
% 185.00/29.58  | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | | BETA: splitting (71) gives:
% 185.00/29.58  | | | | | | | | | | | | 
% 185.00/29.58  | | | | | | | | | | | | Case 1:
% 185.00/29.58  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | |   (72)  all_56_9 = e1 & op(e3, e0) = e1
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | ALPHA: (72) implies:
% 185.00/29.59  | | | | | | | | | | | | |   (73)  all_56_9 = e1
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | REF_CLOSE: (1), (3), (6), (8), (9), (11), (12), (13), (17),
% 185.00/29.59  | | | | | | | | | | | | |            (18), (20), (22), (23), (24), (25), (26), (28),
% 185.00/29.59  | | | | | | | | | | | | |            (30), (31), (32), (33), (35), (36), (40), (41),
% 185.00/29.59  | | | | | | | | | | | | |            (43), (44), (45), (70), (73) are inconsistent by
% 185.00/29.59  | | | | | | | | | | | | |            sub-proof #377.
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | |   (74)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | ALPHA: (74) implies:
% 185.00/29.59  | | | | | | | | | | | | |   (75)  all_56_10 = e1
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | COMBINE_EQS: (58), (75) imply:
% 185.00/29.59  | | | | | | | | | | | | |   (76)  e3 = e1
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | COMBINE_EQS: (48), (76) imply:
% 185.00/29.59  | | | | | | | | | | | | |   (77)  all_56_0 = e1
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | REF_CLOSE: (3), (11), (12), (13), (22), (24), (25), (26),
% 185.00/29.59  | | | | | | | | | | | | |            (32), (77) are inconsistent by sub-proof #738.
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | |   (78)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.00/29.59  | | | | | | | | | | | |           e1 & op(e0, e0) = e1)
% 185.00/29.59  | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | BETA: splitting (78) gives:
% 185.00/29.59  | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | |   (79)  all_56_11 = e1 & op(e1, e0) = e1
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | ALPHA: (79) implies:
% 185.00/29.59  | | | | | | | | | | | | |   (80)  all_56_11 = e1
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | BETA: splitting (31) gives:
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | |   (81)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 185.00/29.59  | | | | | | | | | | | | | |           e2 & op(e2, e0) = e2)
% 185.00/29.59  | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | BETA: splitting (81) gives:
% 185.00/29.59  | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | |   (82)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | ALPHA: (82) implies:
% 185.00/29.59  | | | | | | | | | | | | | | |   (83)  all_56_9 = e2
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | |   (84)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | |           & op(e2, e1) = e1)
% 185.00/29.59  | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | BETA: splitting (84) gives:
% 185.00/29.59  | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | |   (85)  all_56_4 = e1 & op(e3, e1) = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (70), (85) are inconsistent by sub-proof
% 185.00/29.59  | | | | | | | | | | | | | | | | |            #935.
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | |   (86)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | ALPHA: (86) implies:
% 185.00/29.59  | | | | | | | | | | | | | | | | |   (87)  all_56_5 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | |   (88)  op(e2, e1) = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | |   (89)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 185.00/29.59  | | | | | | | | | | | | | | | | | |           & op(e2, e1) = e2)
% 185.00/29.59  | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |   (90)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (70), (90) are inconsistent by sub-proof
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |            #870.
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |   (91)  all_56_5 = e2 & op(e2, e1) = e2
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | ALPHA: (91) implies:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |   (92)  all_56_5 = e2
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (87), (92) imply:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |   (93)  e2 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (83), (93) imply:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |   (94)  all_56_9 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (11), (12), (13), (20), (22), (23),
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |            (24), (25), (26), (28), (30), (31), (32), (33),
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |            (36), (41), (58), (70), (88), (94) are
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #378.
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | |   (95)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 185.00/29.59  | | | | | | | | | | | | | | | | | |           e2 & op(e0, e1) = e2)
% 185.00/29.59  | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | BETA: splitting (95) gives:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |   (96)  all_56_8 = e2 & op(e1, e1) = e2
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | ALPHA: (96) implies:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |   (97)  op(e1, e1) = e2
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (16), (18), (19), (20), (26), (39),
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |            (43), (80), (97) are inconsistent by sub-proof
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |            #400.
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e1, e3, e3, e3,
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |              simplifying with (33), (49) gives:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |   (98)  e3 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (48), (98) imply:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |   (99)  all_56_0 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (11), (12), (13), (22), (24), (25), (26),
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |            (32), (99) are inconsistent by sub-proof #738.
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | |   (100)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 185.00/29.59  | | | | | | | | | | | | | | | |            e1 & op(e0, e1) = e1)
% 185.00/29.59  | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 185.00/29.59  | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | |   (101)  all_56_8 = e1 & op(e1, e1) = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (11), (12), (13), (22), (24), (25), (26),
% 185.00/29.59  | | | | | | | | | | | | | | | | |            (32), (40), (48), (101) are inconsistent by
% 185.00/29.59  | | | | | | | | | | | | | | | | |            sub-proof #376.
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | |   (102)  all_56_14 = e1 & op(e0, e1) = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | ALPHA: (102) implies:
% 185.00/29.59  | | | | | | | | | | | | | | | | |   (103)  all_56_14 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | COMBINE_EQS: (67), (103) imply:
% 185.00/29.59  | | | | | | | | | | | | | | | | |   (104)  e2 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | SIMP: (104) implies:
% 185.00/29.59  | | | | | | | | | | | | | | | | |   (105)  e2 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | COMBINE_EQS: (83), (105) imply:
% 185.00/29.59  | | | | | | | | | | | | | | | | |   (106)  all_56_9 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (23), (26), (31), (32), (41), (58), (80),
% 185.00/29.59  | | | | | | | | | | | | | | | | |            (106) are inconsistent by sub-proof #954.
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | |   (107)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | ALPHA: (107) implies:
% 185.00/29.59  | | | | | | | | | | | | | | |   (108)  all_56_10 = e2
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | REF_CLOSE: (32), (58), (108) are inconsistent by sub-proof
% 185.00/29.59  | | | | | | | | | | | | | | |            #958.
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | |   (109)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 185.00/29.59  | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 185.00/29.59  | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | REF_CLOSE: (1), (23), (26), (41), (80), (109) are
% 185.00/29.59  | | | | | | | | | | | | | |            inconsistent by sub-proof #955.
% 185.00/29.59  | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | |   (110)  all_56_15 = e1 & op(e0, e0) = e1
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | ALPHA: (110) implies:
% 185.00/29.59  | | | | | | | | | | | | |   (111)  op(e0, e0) = e1
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | REF_CLOSE: (1), (5), (26), (111) are inconsistent by
% 185.00/29.59  | | | | | | | | | | | | |            sub-proof #1516.
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | |   (112)  all_56_5 = e0 & op(e2, e1) = e0
% 185.00/29.59  | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | REF_CLOSE: (10), (15), (26), (112) are inconsistent by
% 185.00/29.59  | | | | | | | | | | |            sub-proof #1476.
% 185.00/29.59  | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | |   (113)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0
% 185.00/29.59  | | | | | | | | | |            & op(e0, e1) = e0)
% 185.00/29.59  | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | BETA: splitting (113) gives:
% 185.00/29.59  | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | |   (114)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.59  | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | ALPHA: (114) implies:
% 185.00/29.59  | | | | | | | | | | |   (115)  op(e1, e1) = e0
% 185.00/29.59  | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | BETA: splitting (27) gives:
% 185.00/29.59  | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | |   (116)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 185.00/29.59  | | | | | | | | | | | |            & op(e2, e1) = e0)
% 185.00/29.59  | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | BETA: splitting (116) gives:
% 185.00/29.59  | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | |   (117)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | ALPHA: (117) implies:
% 185.00/29.59  | | | | | | | | | | | | |   (118)  all_56_4 = e0
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | BETA: splitting (14) gives:
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | |   (119)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.00/29.59  | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.00/29.59  | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 185.00/29.59  | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | |   (120)  all_56_9 = e1 & op(e3, e0) = e1
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | ALPHA: (120) implies:
% 185.00/29.59  | | | | | | | | | | | | | | |   (121)  all_56_9 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (6), (8), (9), (11), (12), (13), (17),
% 185.00/29.59  | | | | | | | | | | | | | | |            (18), (20), (22), (23), (24), (25), (26), (28),
% 185.00/29.59  | | | | | | | | | | | | | | |            (30), (31), (32), (33), (35), (36), (40), (41),
% 185.00/29.59  | | | | | | | | | | | | | | |            (43), (44), (45), (118), (121) are inconsistent by
% 185.00/29.59  | | | | | | | | | | | | | | |            sub-proof #377.
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | |   (122)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | ALPHA: (122) implies:
% 185.00/29.59  | | | | | | | | | | | | | | |   (123)  all_56_10 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | COMBINE_EQS: (58), (123) imply:
% 185.00/29.59  | | | | | | | | | | | | | | |   (124)  e3 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | REF_CLOSE: (3), (11), (12), (13), (22), (24), (25), (26),
% 185.00/29.59  | | | | | | | | | | | | | | |            (32), (48), (124) are inconsistent by sub-proof
% 185.00/29.59  | | | | | | | | | | | | | | |            #512.
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | |   (125)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.00/29.59  | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.00/29.59  | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | BETA: splitting (125) gives:
% 185.00/29.59  | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | |   (126)  all_56_11 = e1 & op(e1, e0) = e1
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | ALPHA: (126) implies:
% 185.00/29.59  | | | | | | | | | | | | | | |   (127)  all_56_11 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | |   (128)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 185.00/29.59  | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 185.00/29.59  | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | BETA: splitting (128) gives:
% 185.00/29.59  | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | |   (129)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | ALPHA: (129) implies:
% 185.00/29.59  | | | | | | | | | | | | | | | | |   (130)  all_56_9 = e2
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | |   (131)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e1)
% 185.00/29.59  | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |   (132)  all_56_4 = e1 & op(e3, e1) = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (118), (132) are inconsistent by sub-proof
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |            #935.
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |   (133)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | ALPHA: (133) implies:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |   (134)  op(e2, e1) = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | BETA: splitting (21) gives:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | |   (135)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |   (136)  all_56_1 = e2 & op(e3, e2) = e2
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | ALPHA: (136) implies:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |   (137)  all_56_1 = e2
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (37), (137) imply:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |   (138)  e2 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | SIMP: (138) implies:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |   (139)  e2 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (130), (139) imply:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |   (140)  all_56_9 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (11), (12), (13), (20), (22), (23),
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |            (24), (25), (26), (28), (30), (31), (32), (33),
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |            (36), (41), (58), (118), (134), (140) are
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #378.
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |   (141)  all_56_3 = e2 & op(e2, e2) = e2
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (28), (141) are inconsistent by sub-proof
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |            #392.
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | |   (142)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | BETA: splitting (142) gives:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e3, e0, e1, e1,
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |              simplifying with (7), (115) gives:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |   (143)  e3 = e0
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (26) with e1, e3, e3, e3,
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |              simplifying with (33), (49) gives:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |   (144)  e3 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (143), (144) imply:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |   (145)  e1 = e0
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (48), (143) imply:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |   (146)  all_56_0 = e0
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (11), (12), (22), (24), (26), (28), (32),
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |            (34), (36), (58), (134), (146) are inconsistent by
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |            sub-proof #374.
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |   (147)  all_56_13 = e2 & op(e0, e2) = e2
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (63), (147) are inconsistent by sub-proof
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | |            #1071.
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | |   (148)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 185.00/29.59  | | | | | | | | | | | | | | | | | |            e1 & op(e0, e1) = e1)
% 185.00/29.59  | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |   (149)  all_56_8 = e1 & op(e1, e1) = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (11), (12), (13), (22), (24), (25), (26),
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |            (32), (40), (48), (149) are inconsistent by
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |            sub-proof #376.
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |   (150)  all_56_14 = e1 & op(e0, e1) = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | ALPHA: (150) implies:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |   (151)  all_56_14 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (67), (151) imply:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |   (152)  e2 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (130), (152) imply:
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |   (153)  all_56_9 = e1
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (23), (26), (31), (32), (41), (58), (127),
% 185.00/29.59  | | | | | | | | | | | | | | | | | | |            (153) are inconsistent by sub-proof #954.
% 185.00/29.59  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | |   (154)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | ALPHA: (154) implies:
% 185.00/29.59  | | | | | | | | | | | | | | | | |   (155)  all_56_10 = e2
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (58), (155) are inconsistent by sub-proof
% 185.00/29.59  | | | | | | | | | | | | | | | | |            #958.
% 185.00/29.59  | | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | |   (156)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 185.00/29.59  | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 185.00/29.59  | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (23), (26), (41), (127), (156) are
% 185.00/29.59  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #955.
% 185.00/29.59  | | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | |   (157)  all_56_15 = e1 & op(e0, e0) = e1
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | ALPHA: (157) implies:
% 185.00/29.59  | | | | | | | | | | | | | | |   (158)  op(e0, e0) = e1
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (26), (158) are inconsistent by
% 185.00/29.59  | | | | | | | | | | | | | | |            sub-proof #1516.
% 185.00/29.59  | | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | |   (159)  all_56_5 = e0 & op(e2, e1) = e0
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | | REF_CLOSE: (10), (15), (26), (159) are inconsistent by
% 185.00/29.59  | | | | | | | | | | | | |            sub-proof #1476.
% 185.00/29.59  | | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | | REF_CLOSE: (12), (20), (40), (67), (113) are inconsistent by
% 185.00/29.59  | | | | | | | | | | | |            sub-proof #415.
% 185.00/29.59  | | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | |   (160)  all_56_14 = e0 & op(e0, e1) = e0
% 185.00/29.59  | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | ALPHA: (160) implies:
% 185.00/29.59  | | | | | | | | | | |   (161)  all_56_14 = e0
% 185.00/29.59  | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | | REF_CLOSE: (20), (67), (161) are inconsistent by sub-proof
% 185.00/29.59  | | | | | | | | | | |            #1437.
% 185.00/29.59  | | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | | 
% 185.00/29.59  | | | | | | | | Case 2:
% 185.00/29.59  | | | | | | | | | 
% 185.00/29.59  | | | | | | | | |   (162)  all_56_15 = e2 & op(e0, e0) = e2
% 185.00/29.59  | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | ALPHA: (162) implies:
% 185.00/29.59  | | | | | | | | |   (163)  op(e0, e0) = e2
% 185.00/29.59  | | | | | | | | | 
% 185.00/29.59  | | | | | | | | | REF_CLOSE: (1), (23), (26), (163) are inconsistent by
% 185.00/29.59  | | | | | | | | |            sub-proof #1511.
% 185.00/29.59  | | | | | | | | | 
% 185.00/29.59  | | | | | | | | End of split
% 185.00/29.59  | | | | | | | | 
% 185.00/29.59  | | | | | | | End of split
% 185.00/29.59  | | | | | | | 
% 185.00/29.59  | | | | | | End of split
% 185.00/29.59  | | | | | | 
% 185.00/29.59  | | | | | End of split
% 185.00/29.59  | | | | | 
% 185.00/29.59  | | | | End of split
% 185.00/29.59  | | | | 
% 185.00/29.59  | | | End of split
% 185.00/29.59  | | | 
% 185.00/29.59  | | Case 2:
% 185.00/29.59  | | | 
% 185.00/29.59  | | |   (164)  all_56_2 = e3 & op(e2, e3) = e3
% 185.00/29.59  | | | 
% 185.00/29.59  | | | ALPHA: (164) implies:
% 185.00/29.59  | | |   (165)  all_56_2 = e3
% 185.00/29.59  | | | 
% 185.00/29.59  | | | REF_CLOSE: (11), (32), (165) are inconsistent by sub-proof #1414.
% 185.00/29.59  | | | 
% 185.00/29.59  | | End of split
% 185.00/29.59  | | 
% 185.00/29.59  | Case 2:
% 185.00/29.59  | | 
% 185.00/29.59  | |   (166)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 185.00/29.59  | |            e3)
% 185.00/29.59  | | 
% 185.00/29.59  | | REF_CLOSE: (3), (12), (13), (22), (25), (26), (166) are inconsistent by
% 185.00/29.59  | |            sub-proof #739.
% 185.00/29.59  | | 
% 185.00/29.59  | End of split
% 185.00/29.59  | 
% 185.00/29.59  End of proof
% 185.00/29.59  
% 185.00/29.59  Sub-proof #374 shows that the following formulas are inconsistent:
% 185.00/29.59  ----------------------------------------------------------------
% 185.00/29.59    (1)  all_56_10 = e3
% 185.00/29.59    (2)  all_56_6 = e0
% 185.00/29.59    (3)  all_56_2 = e2
% 185.00/29.59    (4)   ~ (e3 = e0)
% 185.00/29.59    (5)  all_56_0 = e0
% 185.00/29.59    (6)  op(e2, e1) = e1
% 185.00/29.59    (7)   ~ (e3 = e1)
% 185.00/29.59    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.59         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.59    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.59    (10)  all_56_3 = e0
% 185.00/29.59    (11)   ~ (e3 = e2)
% 185.00/29.59    (12)  all_56_12 = e1
% 185.00/29.59    (13)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.00/29.59          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.00/29.59  
% 185.00/29.59  Begin of proof
% 185.00/29.59  | 
% 185.00/29.59  | BETA: splitting (8) gives:
% 185.00/29.59  | 
% 185.00/29.59  | Case 1:
% 185.00/29.59  | | 
% 185.00/29.59  | |   (14)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 185.00/29.59  | |           e3)
% 185.00/29.59  | | 
% 185.00/29.59  | | BETA: splitting (14) gives:
% 185.00/29.59  | | 
% 185.00/29.59  | | Case 1:
% 185.00/29.59  | | | 
% 185.00/29.59  | | |   (15)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.59  | | | 
% 185.00/29.59  | | | REF_CLOSE: (4), (5), (15) are inconsistent by sub-proof #375.
% 185.00/29.59  | | | 
% 185.00/29.59  | | Case 2:
% 185.00/29.59  | | | 
% 185.00/29.59  | | |   (16)  all_56_2 = e3 & op(e2, e3) = e3
% 185.00/29.59  | | | 
% 185.00/29.59  | | | ALPHA: (16) implies:
% 185.00/29.59  | | |   (17)  all_56_2 = e3
% 185.00/29.59  | | | 
% 185.00/29.59  | | | REF_CLOSE: (3), (11), (17) are inconsistent by sub-proof #1414.
% 185.00/29.59  | | | 
% 185.00/29.59  | | End of split
% 185.00/29.59  | | 
% 185.00/29.59  | Case 2:
% 185.00/29.59  | | 
% 185.00/29.59  | |   (18)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 185.00/29.59  | |           e3)
% 185.00/29.59  | | 
% 185.00/29.59  | | BETA: splitting (18) gives:
% 185.00/29.59  | | 
% 185.00/29.59  | | Case 1:
% 185.00/29.59  | | | 
% 185.00/29.59  | | |   (19)  all_56_6 = e3 & op(e1, e3) = e3
% 185.00/29.59  | | | 
% 185.00/29.59  | | | REF_CLOSE: (2), (4), (19) are inconsistent by sub-proof #1530.
% 185.00/29.59  | | | 
% 185.00/29.59  | | Case 2:
% 185.00/29.59  | | | 
% 185.00/29.59  | | |   (20)  all_56_12 = e3 & op(e0, e3) = e3
% 185.00/29.59  | | | 
% 185.00/29.59  | | | ALPHA: (20) implies:
% 185.00/29.59  | | |   (21)  all_56_12 = e3
% 185.00/29.59  | | | 
% 185.00/29.59  | | | COMBINE_EQS: (12), (21) imply:
% 185.00/29.59  | | |   (22)  e3 = e1
% 185.00/29.59  | | | 
% 185.00/29.59  | | | SIMP: (22) implies:
% 185.00/29.59  | | |   (23)  e3 = e1
% 185.00/29.59  | | | 
% 185.00/29.59  | | | COMBINE_EQS: (1), (23) imply:
% 185.00/29.59  | | |   (24)  all_56_10 = e1
% 185.00/29.59  | | | 
% 185.00/29.59  | | | REF_CLOSE: (3), (4), (6), (7), (9), (10), (11), (13), (24) are
% 185.00/29.59  | | |            inconsistent by sub-proof #787.
% 185.00/29.59  | | | 
% 185.00/29.59  | | End of split
% 185.00/29.59  | | 
% 185.00/29.59  | End of split
% 185.00/29.59  | 
% 185.00/29.59  End of proof
% 185.00/29.59  
% 185.00/29.59  Sub-proof #375 shows that the following formulas are inconsistent:
% 185.00/29.59  ----------------------------------------------------------------
% 185.00/29.59    (1)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.59    (2)  all_56_0 = e0
% 185.00/29.59    (3)   ~ (e3 = e0)
% 185.00/29.59  
% 185.00/29.59  Begin of proof
% 185.00/29.59  | 
% 185.00/29.59  | ALPHA: (1) implies:
% 185.00/29.59  |   (4)  all_56_0 = e3
% 185.00/29.59  | 
% 185.00/29.59  | COMBINE_EQS: (2), (4) imply:
% 185.00/29.59  |   (5)  e3 = e0
% 185.00/29.59  | 
% 185.00/29.59  | SIMP: (5) implies:
% 185.00/29.59  |   (6)  e3 = e0
% 185.00/29.59  | 
% 185.00/29.59  | REDUCE: (3), (6) imply:
% 185.00/29.59  |   (7)  $false
% 185.00/29.59  | 
% 185.00/29.59  | CLOSE: (7) is inconsistent.
% 185.00/29.59  | 
% 185.00/29.59  End of proof
% 185.00/29.59  
% 185.00/29.59  Sub-proof #376 shows that the following formulas are inconsistent:
% 185.00/29.59  ----------------------------------------------------------------
% 185.00/29.59    (1)  all_56_6 = e0
% 185.00/29.59    (2)  all_56_0 = e3
% 185.00/29.59    (3)  all_56_2 = e2
% 185.00/29.59    (4)   ~ (e3 = e0)
% 185.00/29.59    (5)  op(e0, e3) = e1
% 185.00/29.59    (6)   ~ (e3 = e1)
% 185.00/29.59    (7)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.59         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.59    (8)  op(e0, e3) = all_52_3
% 185.00/29.59    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.59    (10)  all_56_8 = e1 & op(e1, e1) = e1
% 185.00/29.59    (11)   ~ (e3 = e2)
% 185.00/29.59    (12)  all_56_8 = e3
% 185.00/29.59  
% 185.00/29.59  Begin of proof
% 185.00/29.59  | 
% 185.00/29.59  | ALPHA: (10) implies:
% 185.00/29.59  |   (13)  all_56_8 = e1
% 185.00/29.59  | 
% 185.00/29.59  | COMBINE_EQS: (12), (13) imply:
% 185.00/29.59  |   (14)  e3 = e1
% 185.00/29.59  | 
% 185.00/29.59  | COMBINE_EQS: (2), (14) imply:
% 185.00/29.59  |   (15)  all_56_0 = e1
% 185.00/29.59  | 
% 185.00/29.59  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (11), (15) are inconsistent
% 185.00/29.59  |            by sub-proof #738.
% 185.00/29.59  | 
% 185.00/29.59  End of proof
% 185.00/29.59  
% 185.00/29.59  Sub-proof #377 shows that the following formulas are inconsistent:
% 185.00/29.59  ----------------------------------------------------------------
% 185.00/29.59    (1)  op(e0, e0) = all_6_2
% 185.00/29.59    (2)  all_56_6 = e0
% 185.00/29.59    (3)  op(e1, e3) = e0
% 185.00/29.59    (4)   ~ (e1 = e0)
% 185.00/29.59    (5)  op(e1, e3) = all_52_2
% 185.00/29.59    (6)  all_56_2 = e2
% 185.00/29.59    (7)   ~ (e3 = e0)
% 185.00/29.59    (8)  op(e0, e3) = e1
% 185.00/29.59    (9)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.00/29.59         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.00/29.59    (10)   ~ (all_40_2 = e1) | ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 185.00/29.59            $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 185.00/29.59            $i(all_40_1))
% 185.00/29.59    (11)   ~ (e2 = e0)
% 185.00/29.59    (12)   ~ (e3 = e1)
% 185.00/29.59    (13)   ~ (all_6_2 = e2)
% 185.00/29.59    (14)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.59          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.59    (15)  op(e0, e3) = all_52_3
% 185.00/29.59    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.59            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.59    (17)  all_56_3 = e0
% 185.00/29.59    (18)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.00/29.59          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.00/29.59    (19)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.00/29.59          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.00/29.59    (20)   ~ (e3 = e2)
% 185.00/29.59    (21)  op(e3, e3) = e1
% 185.00/29.59    (22)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.00/29.59          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.00/29.59    (23)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.00/29.59          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.00/29.59    (24)  all_56_4 = e0
% 185.00/29.59    (25)  all_56_8 = e3
% 185.00/29.59    (26)  all_56_9 = e1
% 185.00/29.59    (27)   ~ (e2 = e1)
% 185.00/29.59    (28)  all_40_2 = e1
% 185.00/29.59    (29)  op(e2, e2) = e0
% 185.00/29.59    (30)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.00/29.59          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.00/29.59  
% 185.00/29.59  Begin of proof
% 185.00/29.59  | 
% 185.00/29.59  | BETA: splitting (23) gives:
% 185.00/29.59  | 
% 185.00/29.59  | Case 1:
% 185.00/29.59  | | 
% 185.00/29.59  | |   (31)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 185.00/29.59  | |           e3)
% 185.00/29.59  | | 
% 185.00/29.59  | | REF_CLOSE: (6), (7), (16), (20), (29), (31) are inconsistent by sub-proof
% 185.00/29.59  | |            #384.
% 185.00/29.59  | | 
% 185.00/29.59  | Case 2:
% 185.00/29.59  | | 
% 185.00/29.59  | |   (32)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.00/29.59  | |           e3)
% 185.00/29.59  | | 
% 185.00/29.59  | | BETA: splitting (32) gives:
% 185.00/29.59  | | 
% 185.00/29.59  | | Case 1:
% 185.00/29.59  | | | 
% 185.00/29.59  | | |   (33)  all_56_5 = e3 & op(e2, e1) = e3
% 185.00/29.59  | | | 
% 185.00/29.59  | | | ALPHA: (33) implies:
% 185.00/29.59  | | |   (34)  all_56_5 = e3
% 185.00/29.59  | | |   (35)  op(e2, e1) = e3
% 185.00/29.59  | | | 
% 185.00/29.59  | | | REF_CLOSE: (3), (4), (5), (10), (11), (12), (16), (20), (22), (24), (25),
% 185.00/29.59  | | |            (27), (28), (30), (34), (35) are inconsistent by sub-proof
% 185.00/29.59  | | |            #380.
% 185.00/29.59  | | | 
% 185.00/29.59  | | Case 2:
% 185.00/29.59  | | | 
% 185.00/29.59  | | |   (36)  all_56_10 = e3 & op(e2, e0) = e3
% 185.00/29.59  | | | 
% 185.00/29.59  | | | ALPHA: (36) implies:
% 185.00/29.59  | | |   (37)  all_56_10 = e3
% 185.00/29.59  | | | 
% 185.00/29.59  | | | BETA: splitting (9) gives:
% 185.00/29.59  | | | 
% 185.00/29.59  | | | Case 1:
% 185.00/29.59  | | | | 
% 185.00/29.59  | | | |   (38)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2)
% 185.00/29.59  | | | |           = e1)
% 185.00/29.59  | | | | 
% 185.00/29.59  | | | | REF_CLOSE: (4), (6), (16), (27), (29), (38) are inconsistent by
% 185.00/29.59  | | | |            sub-proof #485.
% 185.00/29.59  | | | | 
% 185.00/29.59  | | | Case 2:
% 185.00/29.59  | | | | 
% 185.00/29.59  | | | |   (39)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0)
% 185.00/29.59  | | | |           = e1)
% 185.00/29.59  | | | | 
% 185.00/29.59  | | | | BETA: splitting (39) gives:
% 185.00/29.59  | | | | 
% 185.00/29.59  | | | | Case 1:
% 185.00/29.59  | | | | | 
% 185.00/29.59  | | | | |   (40)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.59  | | | | | 
% 185.00/29.59  | | | | | ALPHA: (40) implies:
% 185.00/29.59  | | | | |   (41)  op(e2, e1) = e1
% 185.00/29.59  | | | | | 
% 185.00/29.59  | | | | | REF_CLOSE: (1), (2), (6), (7), (8), (11), (12), (13), (14), (15),
% 185.00/29.59  | | | | |            (16), (17), (18), (19), (20), (21), (23), (24), (26), (27),
% 185.00/29.59  | | | | |            (37), (41) are inconsistent by sub-proof #378.
% 185.00/29.59  | | | | | 
% 185.00/29.59  | | | | Case 2:
% 185.00/29.59  | | | | | 
% 185.00/29.59  | | | | |   (42)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.59  | | | | | 
% 185.00/29.59  | | | | | REF_CLOSE: (12), (37), (42) are inconsistent by sub-proof #1486.
% 185.00/29.59  | | | | | 
% 185.00/29.59  | | | | End of split
% 185.00/29.59  | | | | 
% 185.00/29.59  | | | End of split
% 185.00/29.59  | | | 
% 185.00/29.59  | | End of split
% 185.00/29.59  | | 
% 185.00/29.59  | End of split
% 185.00/29.59  | 
% 185.00/29.59  End of proof
% 185.00/29.59  
% 185.00/29.59  Sub-proof #378 shows that the following formulas are inconsistent:
% 185.00/29.59  ----------------------------------------------------------------
% 185.00/29.59    (1)  op(e0, e0) = all_6_2
% 185.00/29.59    (2)  all_56_10 = e3
% 185.00/29.59    (3)  all_56_6 = e0
% 185.00/29.59    (4)  all_56_2 = e2
% 185.00/29.59    (5)   ~ (e3 = e0)
% 185.00/29.59    (6)  op(e0, e3) = e1
% 185.00/29.59    (7)  op(e2, e1) = e1
% 185.00/29.59    (8)   ~ (e2 = e0)
% 185.00/29.59    (9)   ~ (e3 = e1)
% 185.00/29.59    (10)   ~ (all_6_2 = e2)
% 185.00/29.59    (11)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.59          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.59    (12)  op(e0, e3) = all_52_3
% 185.00/29.59    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.59            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.59    (14)  all_56_3 = e0
% 185.00/29.59    (15)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.00/29.59          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.00/29.59    (16)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.00/29.59          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.00/29.59    (17)   ~ (e3 = e2)
% 185.00/29.59    (18)  op(e3, e3) = e1
% 185.00/29.59    (19)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.00/29.59          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.00/29.59    (20)  all_56_4 = e0
% 185.00/29.59    (21)  all_56_9 = e1
% 185.00/29.59    (22)   ~ (e2 = e1)
% 185.00/29.59  
% 185.00/29.59  Begin of proof
% 185.00/29.59  | 
% 185.00/29.59  | BETA: splitting (11) gives:
% 185.00/29.59  | 
% 185.00/29.59  | Case 1:
% 185.00/29.59  | | 
% 185.00/29.59  | |   (23)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 185.00/29.59  | |           e3)
% 185.00/29.59  | | 
% 185.00/29.59  | | BETA: splitting (23) gives:
% 185.00/29.59  | | 
% 185.00/29.59  | | Case 1:
% 185.00/29.59  | | | 
% 185.00/29.59  | | |   (24)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.59  | | | 
% 185.00/29.59  | | | ALPHA: (24) implies:
% 185.00/29.59  | | |   (25)  all_56_0 = e3
% 185.00/29.59  | | |   (26)  op(e3, e3) = e3
% 185.00/29.59  | | | 
% 185.00/29.59  | | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (13), (14), (15),
% 185.00/29.59  | | |            (16), (17), (18), (19), (20), (21), (22), (25), (26) are
% 185.00/29.59  | | |            inconsistent by sub-proof #393.
% 185.00/29.59  | | | 
% 185.00/29.59  | | Case 2:
% 185.00/29.59  | | | 
% 185.00/29.59  | | |   (27)  all_56_2 = e3 & op(e2, e3) = e3
% 185.00/29.59  | | | 
% 185.00/29.59  | | | ALPHA: (27) implies:
% 185.00/29.59  | | |   (28)  all_56_2 = e3
% 185.00/29.59  | | | 
% 185.00/29.59  | | | REF_CLOSE: (4), (17), (28) are inconsistent by sub-proof #1414.
% 185.00/29.59  | | | 
% 185.00/29.59  | | End of split
% 185.00/29.59  | | 
% 185.00/29.59  | Case 2:
% 185.00/29.59  | | 
% 185.00/29.59  | |   (29)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 185.00/29.59  | |           e3)
% 185.00/29.59  | | 
% 185.00/29.59  | | REF_CLOSE: (3), (5), (6), (9), (12), (13), (29) are inconsistent by
% 185.00/29.59  | |            sub-proof #1528.
% 185.00/29.59  | | 
% 185.00/29.59  | End of split
% 185.00/29.59  | 
% 185.00/29.59  End of proof
% 185.00/29.59  
% 185.00/29.59  Sub-proof #379 shows that the following formulas are inconsistent:
% 185.00/29.59  ----------------------------------------------------------------
% 185.00/29.59    (1)  op(e0, e0) = all_6_2
% 185.00/29.59    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.00/29.59         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.00/29.59    (3)  all_56_6 = e0
% 185.00/29.59    (4)  op(e1, e3) = e0
% 185.00/29.59    (5)  all_56_0 = e3
% 185.00/29.59    (6)   ~ (e1 = e0)
% 185.00/29.60    (7)  op(e1, e3) = all_52_2
% 185.00/29.60    (8)   ~ (all_52_9 = e0)
% 185.00/29.60    (9)  all_56_2 = e2
% 185.00/29.60    (10)   ~ (e3 = e0)
% 185.00/29.60    (11)  op(e0, e3) = e1
% 185.00/29.60    (12)  op(e2, e1) = all_52_9
% 185.00/29.60    (13)  all_56_5 = e3
% 185.00/29.60    (14)   ~ (all_40_2 = e1) | ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 185.00/29.60            $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 185.00/29.60            $i(all_40_1))
% 185.00/29.60    (15)   ~ (e2 = e0)
% 185.00/29.60    (16)   ~ (e3 = e1)
% 185.00/29.60    (17)   ~ (all_6_2 = e2)
% 185.00/29.60    (18)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.60          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.60    (19)  op(e0, e3) = all_52_3
% 185.00/29.60    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.60            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.60    (21)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.00/29.60          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.00/29.60    (22)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.00/29.60          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.00/29.60    (23)   ~ (e3 = e2)
% 185.00/29.60    (24)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.00/29.60    (25)  all_56_12 = e1
% 185.00/29.60    (26)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.00/29.60          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.00/29.60    (27)  all_56_8 = e3
% 185.00/29.60    (28)  op(e2, e1) = e3
% 185.00/29.60    (29)   ~ (e2 = e1)
% 185.00/29.60    (30)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.60          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.60            e2)
% 185.00/29.60    (31)  all_40_2 = e1
% 185.00/29.60    (32)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.00/29.60          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.00/29.60  
% 185.00/29.60  Begin of proof
% 185.00/29.60  | 
% 185.00/29.60  | BETA: splitting (24) gives:
% 185.00/29.60  | 
% 185.00/29.60  | Case 1:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (33)  all_56_7 = e3 & op(e1, e2) = e3
% 185.00/29.60  | | 
% 185.00/29.60  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (10), (11), (14), (15), (16),
% 185.00/29.60  | |            (18), (19), (20), (22), (23), (27), (29), (31), (33) are
% 185.00/29.60  | |            inconsistent by sub-proof #382.
% 185.00/29.60  | | 
% 185.00/29.60  | Case 2:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (34)  all_56_13 = e3 & op(e0, e2) = e3
% 185.00/29.60  | | 
% 185.00/29.60  | | ALPHA: (34) implies:
% 185.00/29.60  | |   (35)  all_56_13 = e3
% 185.00/29.60  | | 
% 185.00/29.60  | | BETA: splitting (30) gives:
% 185.00/29.60  | | 
% 185.00/29.60  | | Case 1:
% 185.00/29.60  | | | 
% 185.00/29.60  | | |   (36)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2)
% 185.00/29.60  | | |           = e2)
% 185.00/29.60  | | | 
% 185.00/29.60  | | | REF_CLOSE: (23), (25), (29), (35), (36) are inconsistent by sub-proof
% 185.00/29.60  | | |            #381.
% 185.00/29.60  | | | 
% 185.00/29.60  | | Case 2:
% 185.00/29.60  | | | 
% 185.00/29.60  | | |   (37)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0)
% 185.00/29.60  | | |           = e2)
% 185.00/29.60  | | | 
% 185.00/29.60  | | | BETA: splitting (37) gives:
% 185.00/29.60  | | | 
% 185.00/29.60  | | | Case 1:
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | |   (38)  all_56_14 = e2 & op(e0, e1) = e2
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | | ALPHA: (38) implies:
% 185.00/29.60  | | | |   (39)  all_56_14 = e2
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | | BETA: splitting (21) gives:
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | | Case 1:
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | |   (40)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2,
% 185.00/29.60  | | | | |             e1) = e0)
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | BETA: splitting (40) gives:
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | Case 1:
% 185.00/29.60  | | | | | | 
% 185.00/29.60  | | | | | |   (41)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.60  | | | | | | 
% 185.00/29.60  | | | | | | ALPHA: (41) implies:
% 185.00/29.60  | | | | | |   (42)  all_56_4 = e0
% 185.00/29.60  | | | | | | 
% 185.00/29.60  | | | | | | REF_CLOSE: (4), (6), (7), (13), (14), (15), (16), (20), (23), (26),
% 185.00/29.60  | | | | | |            (27), (28), (29), (31), (32), (42) are inconsistent by
% 185.00/29.60  | | | | | |            sub-proof #380.
% 185.00/29.60  | | | | | | 
% 185.00/29.60  | | | | | Case 2:
% 185.00/29.60  | | | | | | 
% 185.00/29.60  | | | | | |   (43)  all_56_5 = e0 & op(e2, e1) = e0
% 185.00/29.60  | | | | | | 
% 185.00/29.60  | | | | | | REF_CLOSE: (8), (12), (20), (43) are inconsistent by sub-proof
% 185.00/29.60  | | | | | |            #1476.
% 185.00/29.60  | | | | | | 
% 185.00/29.60  | | | | | End of split
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | Case 2:
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | |   (44)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0,
% 185.00/29.60  | | | | |             e1) = e0)
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | REF_CLOSE: (10), (15), (27), (39), (44) are inconsistent by sub-proof
% 185.00/29.60  | | | | |            #415.
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | End of split
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | Case 2:
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | |   (45)  all_56_15 = e2 & op(e0, e0) = e2
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | | ALPHA: (45) implies:
% 185.00/29.60  | | | |   (46)  op(e0, e0) = e2
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | | REF_CLOSE: (1), (17), (20), (46) are inconsistent by sub-proof #1511.
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | End of split
% 185.00/29.60  | | | 
% 185.00/29.60  | | End of split
% 185.00/29.60  | | 
% 185.00/29.60  | End of split
% 185.00/29.60  | 
% 185.00/29.60  End of proof
% 185.00/29.60  
% 185.00/29.60  Sub-proof #380 shows that the following formulas are inconsistent:
% 185.00/29.60  ----------------------------------------------------------------
% 185.00/29.60    (1)  op(e1, e3) = e0
% 185.00/29.60    (2)   ~ (e1 = e0)
% 185.00/29.60    (3)  op(e1, e3) = all_52_2
% 185.00/29.60    (4)  all_56_5 = e3
% 185.00/29.60    (5)   ~ (all_40_2 = e1) | ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 185.00/29.60           $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 185.00/29.60           $i(all_40_1))
% 185.00/29.60    (6)   ~ (e2 = e0)
% 185.00/29.60    (7)   ~ (e3 = e1)
% 185.00/29.60    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.60    (9)   ~ (e3 = e2)
% 185.00/29.60    (10)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.00/29.60          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.00/29.60    (11)  all_56_4 = e0
% 185.00/29.60    (12)  all_56_8 = e3
% 185.00/29.60    (13)  op(e2, e1) = e3
% 185.00/29.60    (14)   ~ (e2 = e1)
% 185.00/29.60    (15)  all_40_2 = e1
% 185.00/29.60    (16)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.00/29.60          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.00/29.60  
% 185.00/29.60  Begin of proof
% 185.00/29.60  | 
% 185.00/29.60  | BETA: splitting (16) gives:
% 185.00/29.60  | 
% 185.00/29.60  | Case 1:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (17)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 185.00/29.60  | |           e1)
% 185.00/29.60  | | 
% 185.00/29.60  | | REF_CLOSE: (2), (7), (8), (11), (13), (17) are inconsistent by sub-proof
% 185.00/29.60  | |            #408.
% 185.00/29.60  | | 
% 185.00/29.60  | Case 2:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (18)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 185.00/29.60  | |           e1)
% 185.00/29.60  | | 
% 185.00/29.60  | | BETA: splitting (18) gives:
% 185.00/29.60  | | 
% 185.00/29.60  | | Case 1:
% 185.00/29.60  | | | 
% 185.00/29.60  | | |   (19)  all_56_8 = e1 & op(e1, e1) = e1
% 185.00/29.60  | | | 
% 185.00/29.60  | | | REF_CLOSE: (7), (12), (19) are inconsistent by sub-proof #396.
% 185.00/29.60  | | | 
% 185.00/29.60  | | Case 2:
% 185.00/29.60  | | | 
% 185.00/29.60  | | |   (20)  all_56_14 = e1 & op(e0, e1) = e1
% 185.00/29.60  | | | 
% 185.00/29.60  | | | ALPHA: (20) implies:
% 185.00/29.60  | | |   (21)  all_56_14 = e1
% 185.00/29.60  | | | 
% 185.00/29.60  | | | BETA: splitting (10) gives:
% 185.00/29.60  | | | 
% 185.00/29.60  | | | Case 1:
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | |   (22)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1)
% 185.00/29.60  | | | |           = e2)
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | | BETA: splitting (22) gives:
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | | Case 1:
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | |   (23)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | REF_CLOSE: (6), (11), (23) are inconsistent by sub-proof #870.
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | Case 2:
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | |   (24)  all_56_5 = e2 & op(e2, e1) = e2
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | ALPHA: (24) implies:
% 185.00/29.60  | | | | |   (25)  all_56_5 = e2
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | REF_CLOSE: (4), (9), (25) are inconsistent by sub-proof #936.
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | End of split
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | Case 2:
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | |   (26)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1)
% 185.00/29.60  | | | |           = e2)
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | | BETA: splitting (26) gives:
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | | Case 1:
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | |   (27)  all_56_8 = e2 & op(e1, e1) = e2
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | ALPHA: (27) implies:
% 185.00/29.60  | | | | |   (28)  op(e1, e1) = e2
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | REF_CLOSE: (1), (3), (5), (8), (15), (28) are inconsistent by
% 185.00/29.60  | | | | |            sub-proof #656.
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | Case 2:
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | |   (29)  all_56_14 = e2 & op(e0, e1) = e2
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | REF_CLOSE: (14), (21), (29) are inconsistent by sub-proof #1133.
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | End of split
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | End of split
% 185.00/29.60  | | | 
% 185.00/29.60  | | End of split
% 185.00/29.60  | | 
% 185.00/29.60  | End of split
% 185.00/29.60  | 
% 185.00/29.60  End of proof
% 185.00/29.60  
% 185.00/29.60  Sub-proof #381 shows that the following formulas are inconsistent:
% 185.00/29.60  ----------------------------------------------------------------
% 185.00/29.60    (1)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.60    (2)  all_56_13 = e3
% 185.00/29.60    (3)   ~ (e3 = e2)
% 185.00/29.60    (4)  all_56_12 = e1
% 185.00/29.60    (5)   ~ (e2 = e1)
% 185.00/29.60  
% 185.00/29.60  Begin of proof
% 185.00/29.60  | 
% 185.00/29.60  | BETA: splitting (1) gives:
% 185.00/29.60  | 
% 185.00/29.60  | Case 1:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (6)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.60  | | 
% 185.00/29.60  | | REF_CLOSE: (4), (5), (6) are inconsistent by sub-proof #1591.
% 185.00/29.60  | | 
% 185.00/29.60  | Case 2:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (7)  all_56_13 = e2 & op(e0, e2) = e2
% 185.00/29.60  | | 
% 185.00/29.60  | | ALPHA: (7) implies:
% 185.00/29.60  | |   (8)  all_56_13 = e2
% 185.00/29.60  | | 
% 185.00/29.60  | | REF_CLOSE: (2), (3), (8) are inconsistent by sub-proof #1121.
% 185.00/29.60  | | 
% 185.00/29.60  | End of split
% 185.00/29.60  | 
% 185.00/29.60  End of proof
% 185.00/29.60  
% 185.00/29.60  Sub-proof #382 shows that the following formulas are inconsistent:
% 185.00/29.60  ----------------------------------------------------------------
% 185.00/29.60    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.00/29.60         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.00/29.60    (2)  all_56_6 = e0
% 185.00/29.60    (3)  op(e1, e3) = e0
% 185.00/29.60    (4)  all_56_0 = e3
% 185.00/29.60    (5)   ~ (e1 = e0)
% 185.00/29.60    (6)  op(e1, e3) = all_52_2
% 185.00/29.60    (7)  all_56_2 = e2
% 185.00/29.60    (8)   ~ (e3 = e0)
% 185.00/29.60    (9)  op(e0, e3) = e1
% 185.00/29.60    (10)   ~ (all_40_2 = e1) | ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 185.00/29.60            $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 185.00/29.60            $i(all_40_1))
% 185.00/29.60    (11)   ~ (e2 = e0)
% 185.00/29.60    (12)   ~ (e3 = e1)
% 185.00/29.60    (13)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.60          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.60    (14)  op(e0, e3) = all_52_3
% 185.00/29.60    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.60            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.60    (16)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.00/29.60          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.00/29.60    (17)   ~ (e3 = e2)
% 185.00/29.60    (18)  all_56_7 = e3 & op(e1, e2) = e3
% 185.00/29.60    (19)  all_56_8 = e3
% 185.00/29.60    (20)   ~ (e2 = e1)
% 185.00/29.60    (21)  all_40_2 = e1
% 185.00/29.60  
% 185.00/29.60  Begin of proof
% 185.00/29.60  | 
% 185.00/29.60  | ALPHA: (18) implies:
% 185.00/29.60  |   (22)  all_56_7 = e3
% 185.00/29.60  | 
% 185.00/29.60  | BETA: splitting (16) gives:
% 185.00/29.60  | 
% 185.00/29.60  | Case 1:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (23)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 185.00/29.60  | |           e2)
% 185.00/29.60  | | 
% 185.00/29.60  | | BETA: splitting (23) gives:
% 185.00/29.60  | | 
% 185.00/29.60  | | Case 1:
% 185.00/29.60  | | | 
% 185.00/29.60  | | |   (24)  all_56_6 = e2 & op(e1, e3) = e2
% 185.00/29.60  | | | 
% 185.00/29.60  | | | REF_CLOSE: (2), (11), (24) are inconsistent by sub-proof #580.
% 185.00/29.60  | | | 
% 185.00/29.60  | | Case 2:
% 185.00/29.60  | | | 
% 185.00/29.60  | | |   (25)  all_56_7 = e2 & op(e1, e2) = e2
% 185.00/29.60  | | | 
% 185.00/29.60  | | | REF_CLOSE: (17), (22), (25) are inconsistent by sub-proof #1072.
% 185.00/29.60  | | | 
% 185.00/29.60  | | End of split
% 185.00/29.60  | | 
% 185.00/29.60  | Case 2:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (26)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 185.00/29.60  | |           e2)
% 185.00/29.60  | | 
% 185.00/29.60  | | BETA: splitting (26) gives:
% 185.00/29.60  | | 
% 185.00/29.60  | | Case 1:
% 185.00/29.60  | | | 
% 185.00/29.60  | | |   (27)  all_56_8 = e2 & op(e1, e1) = e2
% 185.00/29.60  | | | 
% 185.00/29.60  | | | ALPHA: (27) implies:
% 185.00/29.60  | | |   (28)  op(e1, e1) = e2
% 185.00/29.60  | | | 
% 185.00/29.60  | | | REF_CLOSE: (3), (6), (10), (15), (21), (28) are inconsistent by sub-proof
% 185.00/29.60  | | |            #656.
% 185.00/29.60  | | | 
% 185.00/29.60  | | Case 2:
% 185.00/29.60  | | | 
% 185.00/29.60  | | |   (29)  all_56_11 = e2 & op(e1, e0) = e2
% 185.00/29.60  | | | 
% 185.00/29.60  | | | ALPHA: (29) implies:
% 185.00/29.60  | | |   (30)  all_56_11 = e2
% 185.00/29.60  | | | 
% 185.00/29.60  | | | BETA: splitting (1) gives:
% 185.00/29.60  | | | 
% 185.00/29.60  | | | Case 1:
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | |   (31)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2)
% 185.00/29.60  | | | |           = e1)
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | | BETA: splitting (31) gives:
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | | Case 1:
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | |   (32)  all_56_6 = e1 & op(e1, e3) = e1
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | ALPHA: (32) implies:
% 185.00/29.60  | | | | |   (33)  all_56_6 = e1
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | REF_CLOSE: (2), (5), (33) are inconsistent by sub-proof #1551.
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | Case 2:
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | |   (34)  all_56_7 = e1 & op(e1, e2) = e1
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | ALPHA: (34) implies:
% 185.00/29.60  | | | | |   (35)  all_56_7 = e1
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | COMBINE_EQS: (22), (35) imply:
% 185.00/29.60  | | | | |   (36)  e3 = e1
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | COMBINE_EQS: (4), (36) imply:
% 185.00/29.60  | | | | |   (37)  all_56_0 = e1
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | REF_CLOSE: (2), (7), (8), (9), (12), (13), (14), (15), (17), (37) are
% 185.00/29.60  | | | | |            inconsistent by sub-proof #738.
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | End of split
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | Case 2:
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | |   (38)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0)
% 185.00/29.60  | | | |           = e1)
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | | BETA: splitting (38) gives:
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | | Case 1:
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | |   (39)  all_56_8 = e1 & op(e1, e1) = e1
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | ALPHA: (39) implies:
% 185.00/29.60  | | | | |   (40)  all_56_8 = e1
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | COMBINE_EQS: (19), (40) imply:
% 185.00/29.60  | | | | |   (41)  e3 = e1
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | REF_CLOSE: (2), (4), (7), (8), (9), (12), (13), (14), (15), (17), (41)
% 185.00/29.60  | | | | |            are inconsistent by sub-proof #512.
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | Case 2:
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | |   (42)  all_56_11 = e1 & op(e1, e0) = e1
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | ALPHA: (42) implies:
% 185.00/29.60  | | | | |   (43)  all_56_11 = e1
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | | REF_CLOSE: (20), (30), (43) are inconsistent by sub-proof #1229.
% 185.00/29.60  | | | | | 
% 185.00/29.60  | | | | End of split
% 185.00/29.60  | | | | 
% 185.00/29.60  | | | End of split
% 185.00/29.60  | | | 
% 185.00/29.60  | | End of split
% 185.00/29.60  | | 
% 185.00/29.60  | End of split
% 185.00/29.60  | 
% 185.00/29.60  End of proof
% 185.00/29.60  
% 185.00/29.60  Sub-proof #383 shows that the following formulas are inconsistent:
% 185.00/29.60  ----------------------------------------------------------------
% 185.00/29.60    (1)  all_56_6 = e0
% 185.00/29.60    (2)  all_56_0 = e3
% 185.00/29.60    (3)  all_56_2 = e2
% 185.00/29.60    (4)   ~ (e3 = e0)
% 185.00/29.60    (5)  op(e0, e3) = e1
% 185.00/29.60    (6)   ~ (e3 = e1)
% 185.00/29.60    (7)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.60         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.60    (8)  op(e0, e3) = all_52_3
% 185.00/29.60    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.60    (10)   ~ (e3 = e2)
% 185.00/29.60    (11)  all_56_1 = e1
% 185.00/29.60    (12)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 185.00/29.60    (13)  op(e2, e2) = e0
% 185.00/29.60  
% 185.00/29.60  Begin of proof
% 185.00/29.60  | 
% 185.00/29.60  | BETA: splitting (12) gives:
% 185.00/29.60  | 
% 185.00/29.60  | Case 1:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (14)  all_56_1 = e3 & op(e3, e2) = e3
% 185.00/29.60  | | 
% 185.00/29.60  | | ALPHA: (14) implies:
% 185.00/29.60  | |   (15)  all_56_1 = e3
% 185.00/29.60  | | 
% 185.00/29.60  | | COMBINE_EQS: (11), (15) imply:
% 185.00/29.60  | |   (16)  e3 = e1
% 185.00/29.60  | | 
% 185.00/29.60  | | COMBINE_EQS: (2), (16) imply:
% 185.00/29.60  | |   (17)  all_56_0 = e1
% 185.00/29.60  | | 
% 185.00/29.60  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (17) are
% 185.00/29.60  | |            inconsistent by sub-proof #738.
% 185.00/29.60  | | 
% 185.00/29.60  | Case 2:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (18)  all_56_3 = e3 & op(e2, e2) = e3
% 185.00/29.60  | | 
% 185.00/29.60  | | ALPHA: (18) implies:
% 185.00/29.60  | |   (19)  op(e2, e2) = e3
% 185.00/29.60  | | 
% 185.00/29.60  | | REF_CLOSE: (4), (9), (13), (19) are inconsistent by sub-proof #1015.
% 185.00/29.60  | | 
% 185.00/29.60  | End of split
% 185.00/29.60  | 
% 185.00/29.60  End of proof
% 185.00/29.60  
% 185.00/29.60  Sub-proof #384 shows that the following formulas are inconsistent:
% 185.00/29.60  ----------------------------------------------------------------
% 185.00/29.60    (1)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 185.00/29.60    (2)  all_56_2 = e2
% 185.00/29.60    (3)   ~ (e3 = e0)
% 185.00/29.60    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.60    (5)   ~ (e3 = e2)
% 185.00/29.60    (6)  op(e2, e2) = e0
% 185.00/29.60  
% 185.00/29.60  Begin of proof
% 185.00/29.60  | 
% 185.00/29.60  | BETA: splitting (1) gives:
% 185.00/29.60  | 
% 185.00/29.60  | Case 1:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (7)  all_56_2 = e3 & op(e2, e3) = e3
% 185.00/29.60  | | 
% 185.00/29.60  | | ALPHA: (7) implies:
% 185.00/29.60  | |   (8)  all_56_2 = e3
% 185.00/29.60  | | 
% 185.00/29.60  | | REF_CLOSE: (2), (5), (8) are inconsistent by sub-proof #1414.
% 185.00/29.60  | | 
% 185.00/29.60  | Case 2:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (9)  all_56_3 = e3 & op(e2, e2) = e3
% 185.00/29.60  | | 
% 185.00/29.60  | | ALPHA: (9) implies:
% 185.00/29.60  | |   (10)  op(e2, e2) = e3
% 185.00/29.60  | | 
% 185.00/29.60  | | REF_CLOSE: (3), (4), (6), (10) are inconsistent by sub-proof #1015.
% 185.00/29.60  | | 
% 185.00/29.60  | End of split
% 185.00/29.60  | 
% 185.00/29.60  End of proof
% 185.00/29.60  
% 185.00/29.60  Sub-proof #385 shows that the following formulas are inconsistent:
% 185.00/29.60  ----------------------------------------------------------------
% 185.00/29.60    (1)  op(e0, e0) = all_6_2
% 185.00/29.60    (2)   ~ (e1 = e0)
% 185.00/29.60    (3)   ~ (e3 = e0)
% 185.00/29.60    (4)  op(e0, e3) = e1
% 185.00/29.60    (5)   ~ (e2 = e0)
% 185.00/29.60    (6)   ~ (e3 = e1)
% 185.00/29.60    (7)   ~ (all_6_2 = e2)
% 185.00/29.60    (8)   ~ (all_52_7 = e0)
% 185.00/29.60    (9)  op(e0, e3) = all_52_3
% 185.00/29.60    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.60            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.60    (11)  all_56_12 = e1
% 185.00/29.60    (12)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.00/29.60          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.00/29.60            e3)
% 185.00/29.60    (13)   ~ (e2 = e1)
% 185.00/29.60    (14)  e2 = e1
% 185.00/29.60    (15)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.60          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.60            e2)
% 185.00/29.60    (16)  all_56_13 = e2
% 185.00/29.60    (17)  op(e0, e2) = all_52_7
% 185.00/29.60    (18)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.60              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.00/29.60                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.00/29.60                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.00/29.60    (19)  all_56_14 = e0
% 185.00/29.60  
% 185.00/29.60  Begin of proof
% 185.00/29.60  | 
% 185.00/29.60  | COMBINE_EQS: (14), (16) imply:
% 185.00/29.60  |   (20)  all_56_13 = e1
% 185.00/29.60  | 
% 185.00/29.60  | BETA: splitting (12) gives:
% 185.00/29.60  | 
% 185.00/29.60  | Case 1:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (21)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 185.00/29.60  | |           e3)
% 185.00/29.60  | | 
% 185.00/29.60  | | REF_CLOSE: (4), (6), (9), (10), (20), (21) are inconsistent by sub-proof
% 185.00/29.60  | |            #387.
% 185.00/29.60  | | 
% 185.00/29.60  | Case 2:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (22)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.00/29.60  | |           e3)
% 185.00/29.60  | | 
% 185.00/29.60  | | BETA: splitting (22) gives:
% 185.00/29.60  | | 
% 185.00/29.60  | | Case 1:
% 185.00/29.60  | | | 
% 185.00/29.60  | | |   (23)  all_56_14 = e3 & op(e0, e1) = e3
% 185.00/29.60  | | | 
% 185.00/29.60  | | | REF_CLOSE: (3), (19), (23) are inconsistent by sub-proof #530.
% 185.00/29.60  | | | 
% 185.00/29.60  | | Case 2:
% 185.00/29.60  | | | 
% 185.00/29.60  | | |   (24)  all_56_15 = e3 & op(e0, e0) = e3
% 185.00/29.60  | | | 
% 185.00/29.60  | | | ALPHA: (24) implies:
% 185.00/29.60  | | |   (25)  op(e0, e0) = e3
% 185.00/29.60  | | | 
% 185.00/29.60  | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (10), (11), (13), (15), (17),
% 185.00/29.60  | | |            (18), (20), (25) are inconsistent by sub-proof #386.
% 185.00/29.60  | | | 
% 185.00/29.60  | | End of split
% 185.00/29.60  | | 
% 185.00/29.60  | End of split
% 185.00/29.60  | 
% 185.00/29.60  End of proof
% 185.00/29.60  
% 185.00/29.60  Sub-proof #386 shows that the following formulas are inconsistent:
% 185.00/29.60  ----------------------------------------------------------------
% 185.00/29.60    (1)  op(e0, e0) = all_6_2
% 185.00/29.60    (2)   ~ (e1 = e0)
% 185.00/29.60    (3)   ~ (e3 = e0)
% 185.00/29.60    (4)   ~ (e2 = e0)
% 185.00/29.60    (5)   ~ (all_6_2 = e2)
% 185.00/29.60    (6)   ~ (all_52_7 = e0)
% 185.00/29.60    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.60    (8)  op(e0, e0) = e3
% 185.00/29.60    (9)  all_56_12 = e1
% 185.00/29.60    (10)   ~ (e2 = e1)
% 185.00/29.60    (11)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.60          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.60            e2)
% 185.00/29.60    (12)  all_56_13 = e1
% 185.00/29.60    (13)  op(e0, e2) = all_52_7
% 185.00/29.60    (14)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.60              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.00/29.60                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.00/29.60                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.00/29.60  
% 185.00/29.60  Begin of proof
% 185.00/29.60  | 
% 185.00/29.60  | BETA: splitting (11) gives:
% 185.00/29.60  | 
% 185.00/29.60  | Case 1:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (15)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 185.00/29.60  | |           e2)
% 185.00/29.60  | | 
% 185.00/29.60  | | BETA: splitting (15) gives:
% 185.00/29.60  | | 
% 185.00/29.60  | | Case 1:
% 185.00/29.60  | | | 
% 185.00/29.60  | | |   (16)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.60  | | | 
% 185.00/29.60  | | | REF_CLOSE: (9), (10), (16) are inconsistent by sub-proof #1591.
% 185.00/29.60  | | | 
% 185.00/29.60  | | Case 2:
% 185.00/29.60  | | | 
% 185.00/29.60  | | |   (17)  all_56_13 = e2 & op(e0, e2) = e2
% 185.00/29.60  | | | 
% 185.00/29.60  | | | REF_CLOSE: (10), (12), (17) are inconsistent by sub-proof #1513.
% 185.00/29.60  | | | 
% 185.00/29.60  | | End of split
% 185.00/29.60  | | 
% 185.00/29.60  | Case 2:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (18)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.60  | |           e2)
% 185.00/29.60  | | 
% 185.00/29.60  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (13), (14), (18) are
% 185.00/29.60  | |            inconsistent by sub-proof #523.
% 185.00/29.60  | | 
% 185.00/29.60  | End of split
% 185.00/29.60  | 
% 185.00/29.60  End of proof
% 185.00/29.60  
% 185.00/29.60  Sub-proof #387 shows that the following formulas are inconsistent:
% 185.00/29.60  ----------------------------------------------------------------
% 185.00/29.60    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.00/29.60    (2)  op(e0, e3) = e1
% 185.00/29.60    (3)   ~ (e3 = e1)
% 185.00/29.60    (4)  op(e0, e3) = all_52_3
% 185.00/29.60    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.60    (6)  all_56_13 = e1
% 185.00/29.60  
% 185.00/29.60  Begin of proof
% 185.00/29.60  | 
% 185.00/29.60  | BETA: splitting (1) gives:
% 185.00/29.60  | 
% 185.00/29.60  | Case 1:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (7)  all_56_12 = e3 & op(e0, e3) = e3
% 185.00/29.60  | | 
% 185.00/29.60  | | ALPHA: (7) implies:
% 185.00/29.60  | |   (8)  op(e0, e3) = e3
% 185.00/29.60  | | 
% 185.00/29.60  | | REF_CLOSE: (2), (3), (4), (5), (8) are inconsistent by sub-proof #1529.
% 185.00/29.60  | | 
% 185.00/29.60  | Case 2:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (9)  all_56_13 = e3 & op(e0, e2) = e3
% 185.00/29.60  | | 
% 185.00/29.60  | | REF_CLOSE: (3), (6), (9) are inconsistent by sub-proof #1066.
% 185.00/29.60  | | 
% 185.00/29.60  | End of split
% 185.00/29.60  | 
% 185.00/29.60  End of proof
% 185.00/29.60  
% 185.00/29.60  Sub-proof #388 shows that the following formulas are inconsistent:
% 185.00/29.60  ----------------------------------------------------------------
% 185.00/29.60    (1)   ~ (e3 = e0)
% 185.00/29.60    (2)  all_56_2 = e0
% 185.00/29.60    (3)  all_56_0 = e2
% 185.00/29.60    (4)   ~ (e3 = e2)
% 185.00/29.60    (5)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 185.00/29.60  
% 185.00/29.60  Begin of proof
% 185.00/29.60  | 
% 185.00/29.60  | BETA: splitting (5) gives:
% 185.00/29.60  | 
% 185.00/29.60  | Case 1:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (6)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.60  | | 
% 185.00/29.60  | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #1532.
% 185.00/29.60  | | 
% 185.00/29.60  | Case 2:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (7)  all_56_2 = e3 & op(e2, e3) = e3
% 185.00/29.60  | | 
% 185.00/29.60  | | ALPHA: (7) implies:
% 185.00/29.60  | |   (8)  all_56_2 = e3
% 185.00/29.60  | | 
% 185.00/29.60  | | REF_CLOSE: (1), (2), (8) are inconsistent by sub-proof #700.
% 185.00/29.60  | | 
% 185.00/29.60  | End of split
% 185.00/29.60  | 
% 185.00/29.60  End of proof
% 185.00/29.60  
% 185.00/29.60  Sub-proof #389 shows that the following formulas are inconsistent:
% 185.00/29.60  ----------------------------------------------------------------
% 185.00/29.60    (1)  op(e0, e0) = all_6_2
% 185.00/29.60    (2)  all_56_10 = e3
% 185.00/29.60    (3)   ~ (all_4_2 = e0)
% 185.00/29.60    (4)   ~ (e1 = e0)
% 185.00/29.60    (5)   ~ (e3 = e0)
% 185.00/29.60    (6)  op(e0, e3) = e1
% 185.00/29.60    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.00/29.60         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.60    (8)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.00/29.60         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.00/29.60    (9)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.00/29.60         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.00/29.60    (10)  all_56_2 = e0
% 185.00/29.60    (11)   ~ (e2 = e0)
% 185.00/29.60    (12)   ~ (e3 = e1)
% 185.00/29.60    (13)   ~ (all_52_4 = all_52_7)
% 185.00/29.60    (14)   ~ (all_6_2 = e2)
% 185.00/29.60    (15)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.60          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.60    (16)  op(e0, e3) = all_52_3
% 185.00/29.60    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.60            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.60    (18)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.00/29.60          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.00/29.60    (19)  all_56_3 = e0
% 185.00/29.60    (20)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.00/29.60          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.00/29.60    (21)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.00/29.60          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.00/29.60    (22)   ~ (e3 = e2)
% 185.00/29.60    (23)  op(e3, e3) = e1
% 185.00/29.60    (24)  all_56_12 = e1
% 185.00/29.60    (25)  op(e3, e3) = all_4_2
% 185.00/29.60    (26)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.00/29.60          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.00/29.60    (27)  op(e3, e2) = all_52_4
% 185.00/29.60    (28)  all_56_8 = e3
% 185.00/29.60    (29)   ~ (all_52_4 = e0)
% 185.00/29.60    (30)   ~ (e2 = e1)
% 185.00/29.60    (31)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.60          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.60            e2)
% 185.00/29.60    (32)  op(e0, e2) = all_52_7
% 185.00/29.60    (33)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.00/29.60    (34)  op(e2, e2) = e0
% 185.00/29.60    (35)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.00/29.60          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.00/29.60  
% 185.00/29.60  Begin of proof
% 185.00/29.60  | 
% 185.00/29.60  | BETA: splitting (33) gives:
% 185.00/29.60  | 
% 185.00/29.60  | Case 1:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (36)  all_56_9 = e1 & op(e3, e0) = e1
% 185.00/29.60  | | 
% 185.00/29.60  | | ALPHA: (36) implies:
% 185.00/29.60  | |   (37)  all_56_9 = e1
% 185.00/29.60  | | 
% 185.00/29.60  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.00/29.60  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 185.00/29.60  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (34), (35),
% 185.00/29.60  | |            (37) are inconsistent by sub-proof #390.
% 185.00/29.60  | | 
% 185.00/29.60  | Case 2:
% 185.00/29.60  | | 
% 185.00/29.60  | |   (38)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.60  | | 
% 185.00/29.60  | | REF_CLOSE: (2), (12), (38) are inconsistent by sub-proof #1486.
% 185.00/29.60  | | 
% 185.00/29.60  | End of split
% 185.00/29.60  | 
% 185.00/29.60  End of proof
% 185.00/29.60  
% 185.00/29.60  Sub-proof #390 shows that the following formulas are inconsistent:
% 185.00/29.60  ----------------------------------------------------------------
% 185.00/29.60    (1)  op(e0, e0) = all_6_2
% 185.00/29.60    (2)  all_56_10 = e3
% 185.00/29.60    (3)   ~ (all_4_2 = e0)
% 185.00/29.60    (4)   ~ (e1 = e0)
% 185.00/29.60    (5)   ~ (e3 = e0)
% 185.00/29.61    (6)  op(e0, e3) = e1
% 185.00/29.61    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.00/29.61         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.61    (8)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.00/29.61         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.00/29.61    (9)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.00/29.61         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.00/29.61    (10)  all_56_2 = e0
% 185.00/29.61    (11)   ~ (e2 = e0)
% 185.00/29.61    (12)   ~ (e3 = e1)
% 185.00/29.61    (13)   ~ (all_52_4 = all_52_7)
% 185.00/29.61    (14)   ~ (all_6_2 = e2)
% 185.00/29.61    (15)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.61          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.61    (16)  op(e0, e3) = all_52_3
% 185.00/29.61    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.61            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.61    (18)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.00/29.61          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.00/29.61    (19)  all_56_3 = e0
% 185.00/29.61    (20)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.00/29.61          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.00/29.61    (21)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.00/29.61          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.00/29.61    (22)   ~ (e3 = e2)
% 185.00/29.61    (23)  op(e3, e3) = e1
% 185.00/29.61    (24)  all_56_12 = e1
% 185.00/29.61    (25)  op(e3, e3) = all_4_2
% 185.00/29.61    (26)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.00/29.61          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.00/29.61    (27)  op(e3, e2) = all_52_4
% 185.00/29.61    (28)  all_56_8 = e3
% 185.00/29.61    (29)   ~ (all_52_4 = e0)
% 185.00/29.61    (30)  all_56_9 = e1
% 185.00/29.61    (31)   ~ (e2 = e1)
% 185.00/29.61    (32)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.61          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.61            e2)
% 185.00/29.61    (33)  op(e0, e2) = all_52_7
% 185.00/29.61    (34)  op(e2, e2) = e0
% 185.00/29.61    (35)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.00/29.61          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.00/29.61  
% 185.00/29.61  Begin of proof
% 185.00/29.61  | 
% 185.00/29.61  | BETA: splitting (7) gives:
% 185.00/29.61  | 
% 185.00/29.61  | Case 1:
% 185.00/29.61  | | 
% 185.00/29.61  | |   (36)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 185.00/29.61  | |           e0)
% 185.00/29.61  | | 
% 185.00/29.61  | | REF_CLOSE: (3), (17), (25), (27), (29), (36) are inconsistent by sub-proof
% 185.00/29.61  | |            #1060.
% 185.00/29.61  | | 
% 185.00/29.61  | Case 2:
% 185.00/29.61  | | 
% 185.00/29.61  | |   (37)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 185.00/29.61  | |           e0)
% 185.00/29.61  | | 
% 185.00/29.61  | | BETA: splitting (37) gives:
% 185.00/29.61  | | 
% 185.00/29.61  | | Case 1:
% 185.00/29.61  | | | 
% 185.00/29.61  | | |   (38)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.61  | | | 
% 185.00/29.61  | | | ALPHA: (38) implies:
% 185.00/29.61  | | |   (39)  all_56_4 = e0
% 185.00/29.61  | | | 
% 185.00/29.61  | | | BETA: splitting (9) gives:
% 185.00/29.61  | | | 
% 185.00/29.61  | | | Case 1:
% 185.00/29.61  | | | | 
% 185.00/29.61  | | | |   (40)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2)
% 185.00/29.61  | | | |           = e1)
% 185.00/29.61  | | | | 
% 185.00/29.61  | | | | REF_CLOSE: (4), (10), (17), (34), (40) are inconsistent by sub-proof
% 185.00/29.61  | | | |            #554.
% 185.00/29.61  | | | | 
% 185.00/29.61  | | | Case 2:
% 185.00/29.61  | | | | 
% 185.00/29.61  | | | |   (41)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0)
% 185.00/29.61  | | | |           = e1)
% 185.00/29.61  | | | | 
% 185.00/29.61  | | | | BETA: splitting (41) gives:
% 185.00/29.61  | | | | 
% 185.00/29.61  | | | | Case 1:
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | |   (42)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | | ALPHA: (42) implies:
% 185.00/29.61  | | | | |   (43)  all_56_5 = e1
% 185.00/29.61  | | | | |   (44)  op(e2, e1) = e1
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | | BETA: splitting (21) gives:
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | | Case 1:
% 185.00/29.61  | | | | | | 
% 185.00/29.61  | | | | | |   (45)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2,
% 185.00/29.61  | | | | | |             e0) = e2)
% 185.00/29.61  | | | | | | 
% 185.00/29.61  | | | | | | BETA: splitting (45) gives:
% 185.00/29.61  | | | | | | 
% 185.00/29.61  | | | | | | Case 1:
% 185.00/29.61  | | | | | | | 
% 185.00/29.61  | | | | | | |   (46)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.61  | | | | | | | 
% 185.00/29.61  | | | | | | | ALPHA: (46) implies:
% 185.00/29.61  | | | | | | |   (47)  all_56_9 = e2
% 185.00/29.61  | | | | | | | 
% 185.00/29.61  | | | | | | | REF_CLOSE: (30), (31), (47) are inconsistent by sub-proof #1503.
% 185.00/29.61  | | | | | | | 
% 185.00/29.61  | | | | | | Case 2:
% 185.00/29.61  | | | | | | | 
% 185.00/29.61  | | | | | | |   (48)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.61  | | | | | | | 
% 185.00/29.61  | | | | | | | ALPHA: (48) implies:
% 185.00/29.61  | | | | | | |   (49)  all_56_10 = e2
% 185.00/29.61  | | | | | | | 
% 185.00/29.61  | | | | | | | REF_CLOSE: (5), (10), (12), (17), (22), (26), (34), (44), (49) are
% 185.00/29.61  | | | | | | |            inconsistent by sub-proof #604.
% 185.00/29.61  | | | | | | | 
% 185.00/29.61  | | | | | | End of split
% 185.00/29.61  | | | | | | 
% 185.00/29.61  | | | | | Case 2:
% 185.00/29.61  | | | | | | 
% 185.00/29.61  | | | | | |   (50)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 &
% 185.00/29.61  | | | | | |           op(e0, e0) = e2)
% 185.00/29.61  | | | | | | 
% 185.00/29.61  | | | | | | BETA: splitting (50) gives:
% 185.00/29.61  | | | | | | 
% 185.00/29.61  | | | | | | Case 1:
% 185.00/29.61  | | | | | | | 
% 185.00/29.61  | | | | | | |   (51)  all_56_11 = e2 & op(e1, e0) = e2
% 185.00/29.61  | | | | | | | 
% 185.00/29.61  | | | | | | | ALPHA: (51) implies:
% 185.00/29.61  | | | | | | |   (52)  all_56_11 = e2
% 185.00/29.61  | | | | | | | 
% 185.00/29.61  | | | | | | | BETA: splitting (18) gives:
% 185.00/29.61  | | | | | | | 
% 185.00/29.61  | | | | | | | Case 1:
% 185.00/29.61  | | | | | | | | 
% 185.00/29.61  | | | | | | | |   (53)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 &
% 185.00/29.61  | | | | | | | |           op(e2, e2) = e2)
% 185.00/29.61  | | | | | | | | 
% 185.00/29.61  | | | | | | | | BETA: splitting (53) gives:
% 185.00/29.61  | | | | | | | | 
% 185.00/29.61  | | | | | | | | Case 1:
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | |   (54)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | ALPHA: (54) implies:
% 185.00/29.61  | | | | | | | | |   (55)  all_56_2 = e2
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | REF_CLOSE: (10), (11), (55) are inconsistent by sub-proof
% 185.00/29.61  | | | | | | | | |            #1196.
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | Case 2:
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | |   (56)  all_56_3 = e2 & op(e2, e2) = e2
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | ALPHA: (56) implies:
% 185.00/29.61  | | | | | | | | |   (57)  op(e2, e2) = e2
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | BETA: splitting (8) gives:
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | Case 1:
% 185.00/29.61  | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | |   (58)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 &
% 185.00/29.61  | | | | | | | | | |           op(e2, e3) = e2)
% 185.00/29.61  | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | REF_CLOSE: (4), (10), (11), (17), (23), (34), (57), (58) are
% 185.00/29.61  | | | | | | | | | |            inconsistent by sub-proof #394.
% 185.00/29.61  | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | Case 2:
% 185.00/29.61  | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | |   (59)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2
% 185.00/29.61  | | | | | | | | | |           & op(e0, e3) = e2)
% 185.00/29.61  | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | BETA: splitting (59) gives:
% 185.00/29.61  | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | Case 1:
% 185.00/29.61  | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | |   (60)  all_56_6 = e2 & op(e1, e3) = e2
% 185.00/29.61  | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | ALPHA: (60) implies:
% 185.00/29.61  | | | | | | | | | | |   (61)  all_56_6 = e2
% 185.00/29.61  | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | BETA: splitting (15) gives:
% 185.00/29.61  | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | Case 1:
% 185.00/29.61  | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | |   (62)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 185.00/29.61  | | | | | | | | | | | |           & op(e2, e3) = e3)
% 185.00/29.61  | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | BETA: splitting (62) gives:
% 185.00/29.61  | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | Case 1:
% 185.00/29.61  | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | |   (63)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.61  | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | ALPHA: (63) implies:
% 185.00/29.61  | | | | | | | | | | | | |   (64)  all_56_0 = e3
% 185.00/29.61  | | | | | | | | | | | | |   (65)  op(e3, e3) = e3
% 185.00/29.61  | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | BETA: splitting (20) gives:
% 185.00/29.61  | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | Case 1:
% 185.00/29.61  | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | |   (66)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 185.00/29.61  | | | | | | | | | | | | | |           & op(e3, e2) = e2)
% 185.00/29.61  | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | BETA: splitting (66) gives:
% 185.00/29.61  | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | Case 1:
% 185.00/29.61  | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | |   (67)  all_56_0 = e2 & op(e3, e3) = e2
% 185.00/29.61  | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | REF_CLOSE: (4), (17), (23), (34), (57), (67) are inconsistent
% 185.00/29.61  | | | | | | | | | | | | | | |            by sub-proof #395.
% 185.00/29.61  | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | Case 2:
% 185.00/29.61  | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | |   (68)  all_56_1 = e2 & op(e3, e2) = e2
% 185.00/29.61  | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | ALPHA: (68) implies:
% 185.00/29.61  | | | | | | | | | | | | | | |   (69)  op(e3, e2) = e2
% 185.00/29.61  | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 185.00/29.61  | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | Case 1:
% 185.00/29.61  | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | |   (70)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 185.00/29.61  | | | | | | | | | | | | | | | |           e2 & op(e0, e2) = e2)
% 185.00/29.61  | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | REF_CLOSE: (13), (17), (24), (27), (31), (33), (69), (70) are
% 185.00/29.61  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1341.
% 185.00/29.61  | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | Case 2:
% 185.00/29.61  | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | |   (71)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 185.00/29.61  | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = e2)
% 185.00/29.61  | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | BETA: splitting (71) gives:
% 185.00/29.61  | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.61  | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | |   (72)  all_56_14 = e2 & op(e0, e1) = e2
% 185.00/29.61  | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | ALPHA: (72) implies:
% 185.00/29.61  | | | | | | | | | | | | | | | | |   (73)  all_56_14 = e2
% 185.00/29.61  | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 185.00/29.61  | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | |   (74)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 185.00/29.61  | | | | | | | | | | | | | | | | | |           & op(e2, e1) = e1)
% 185.00/29.61  | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | BETA: splitting (74) gives:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | |   (75)  all_56_4 = e1 & op(e3, e1) = e1
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | ALPHA: (75) implies:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | |   (76)  all_56_4 = e1
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (76) are inconsistent by sub-proof
% 185.00/29.61  | | | | | | | | | | | | | | | | | | |            #815.
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | BETA: splitting (18) gives:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | |   (77)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | ALPHA: (77) implies:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | |   (78)  all_56_2 = e2
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (5), (11), (12), (14), (17), (19), (20),
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | |            (21), (22), (23), (26), (30), (31), (39), (44),
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | |            (64), (65), (78) are inconsistent by sub-proof
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | |            #393.
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (19), (56) are inconsistent by sub-proof
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | |            #392.
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | |   (79)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | |           e2 & op(e2, e0) = e2)
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | |   (80)  all_56_5 = e2 & op(e2, e1) = e2
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | ALPHA: (80) implies:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | |   (81)  all_56_5 = e2
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (43), (81) are inconsistent by sub-proof
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | |            #391.
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | |   (82)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | ALPHA: (82) implies:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | |   (83)  all_56_10 = e2
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (12), (17), (22), (26), (34), (44),
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | |            (83) are inconsistent by sub-proof #604.
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.61  | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | |   (84)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 185.00/29.61  | | | | | | | | | | | | | | | | | |           e1 & op(e0, e1) = e1)
% 185.00/29.61  | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | BETA: splitting (84) gives:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | |   (85)  all_56_8 = e1 & op(e1, e1) = e1
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (28), (85) are inconsistent by sub-proof
% 185.00/29.61  | | | | | | | | | | | | | | | | | | |            #407.
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | |   (86)  all_56_14 = e1 & op(e0, e1) = e1
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (73), (86) are inconsistent by sub-proof
% 185.00/29.61  | | | | | | | | | | | | | | | | | | |            #1459.
% 185.00/29.61  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.61  | | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | End of split
% 185.00/29.61  | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.61  | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | |   (87)  all_56_15 = e2 & op(e0, e0) = e2
% 185.00/29.61  | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | ALPHA: (87) implies:
% 185.00/29.61  | | | | | | | | | | | | | | | | |   (88)  op(e0, e0) = e2
% 185.00/29.61  | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (14), (17), (88) are inconsistent by
% 185.00/29.61  | | | | | | | | | | | | | | | | |            sub-proof #1511.
% 185.00/29.61  | | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | | End of split
% 185.00/29.61  | | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | End of split
% 185.00/29.61  | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | End of split
% 185.00/29.61  | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | Case 2:
% 185.00/29.61  | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | |   (89)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 185.00/29.61  | | | | | | | | | | | | | |           & op(e3, e0) = e2)
% 185.00/29.61  | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 185.00/29.61  | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | Case 1:
% 185.00/29.61  | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | |   (90)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.61  | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | REF_CLOSE: (11), (39), (90) are inconsistent by sub-proof
% 185.00/29.61  | | | | | | | | | | | | | | |            #870.
% 185.00/29.61  | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | Case 2:
% 185.00/29.61  | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | |   (91)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.61  | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | | REF_CLOSE: (30), (31), (91) are inconsistent by sub-proof
% 185.00/29.61  | | | | | | | | | | | | | | |            #1129.
% 185.00/29.61  | | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | | End of split
% 185.00/29.61  | | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | End of split
% 185.00/29.61  | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | Case 2:
% 185.00/29.61  | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | |   (92)  all_56_2 = e3 & op(e2, e3) = e3
% 185.00/29.61  | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | | REF_CLOSE: (5), (10), (92) are inconsistent by sub-proof
% 185.00/29.61  | | | | | | | | | | | | |            #868.
% 185.00/29.61  | | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | End of split
% 185.00/29.61  | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | Case 2:
% 185.00/29.61  | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | |   (93)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 185.00/29.61  | | | | | | | | | | | |           e3 & op(e0, e3) = e3)
% 185.00/29.61  | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | | REF_CLOSE: (6), (12), (16), (17), (22), (61), (93) are
% 185.00/29.61  | | | | | | | | | | | |            inconsistent by sub-proof #867.
% 185.00/29.61  | | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | End of split
% 185.00/29.61  | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | Case 2:
% 185.00/29.61  | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | |   (94)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.61  | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | ALPHA: (94) implies:
% 185.00/29.61  | | | | | | | | | | |   (95)  all_56_12 = e2
% 185.00/29.61  | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | | REF_CLOSE: (24), (31), (95) are inconsistent by sub-proof
% 185.00/29.61  | | | | | | | | | | |            #1383.
% 185.00/29.61  | | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | | End of split
% 185.00/29.61  | | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | End of split
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | End of split
% 185.00/29.61  | | | | | | | | 
% 185.00/29.61  | | | | | | | Case 2:
% 185.00/29.61  | | | | | | | | 
% 185.00/29.61  | | | | | | | |   (96)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 &
% 185.00/29.61  | | | | | | | |           op(e2, e0) = e2)
% 185.00/29.61  | | | | | | | | 
% 185.00/29.61  | | | | | | | | BETA: splitting (96) gives:
% 185.00/29.61  | | | | | | | | 
% 185.00/29.61  | | | | | | | | Case 1:
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | |   (97)  all_56_5 = e2 & op(e2, e1) = e2
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | ALPHA: (97) implies:
% 185.00/29.61  | | | | | | | | |   (98)  all_56_5 = e2
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | COMBINE_EQS: (43), (98) imply:
% 185.00/29.61  | | | | | | | | |   (99)  e2 = e1
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | COMBINE_EQS: (52), (99) imply:
% 185.00/29.61  | | | | | | | | |   (100)  all_56_11 = e1
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | REF_CLOSE: (1), (2), (14), (17), (21), (22), (30), (31), (100)
% 185.00/29.61  | | | | | | | | |            are inconsistent by sub-proof #954.
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | Case 2:
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | |   (101)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | ALPHA: (101) implies:
% 185.00/29.61  | | | | | | | | |   (102)  all_56_10 = e2
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | | REF_CLOSE: (5), (10), (12), (17), (22), (26), (34), (44),
% 185.00/29.61  | | | | | | | | |            (102) are inconsistent by sub-proof #604.
% 185.00/29.61  | | | | | | | | | 
% 185.00/29.61  | | | | | | | | End of split
% 185.00/29.61  | | | | | | | | 
% 185.00/29.61  | | | | | | | End of split
% 185.00/29.61  | | | | | | | 
% 185.00/29.61  | | | | | | Case 2:
% 185.00/29.61  | | | | | | | 
% 185.00/29.61  | | | | | | |   (103)  all_56_15 = e2 & op(e0, e0) = e2
% 185.00/29.61  | | | | | | | 
% 185.00/29.61  | | | | | | | ALPHA: (103) implies:
% 185.00/29.61  | | | | | | |   (104)  op(e0, e0) = e2
% 185.00/29.61  | | | | | | | 
% 185.00/29.61  | | | | | | | REF_CLOSE: (1), (14), (17), (104) are inconsistent by sub-proof
% 185.00/29.61  | | | | | | |            #1511.
% 185.00/29.61  | | | | | | | 
% 185.00/29.61  | | | | | | End of split
% 185.00/29.61  | | | | | | 
% 185.00/29.61  | | | | | End of split
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | Case 2:
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | |   (105)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | | REF_CLOSE: (2), (12), (105) are inconsistent by sub-proof #1486.
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | End of split
% 185.00/29.61  | | | | 
% 185.00/29.61  | | | End of split
% 185.00/29.61  | | | 
% 185.00/29.61  | | Case 2:
% 185.00/29.61  | | | 
% 185.00/29.61  | | |   (106)  all_56_9 = e0 & op(e3, e0) = e0
% 185.00/29.61  | | | 
% 185.00/29.61  | | | REF_CLOSE: (4), (30), (106) are inconsistent by sub-proof #1505.
% 185.00/29.61  | | | 
% 185.00/29.61  | | End of split
% 185.00/29.61  | | 
% 185.00/29.61  | End of split
% 185.00/29.61  | 
% 185.00/29.61  End of proof
% 185.00/29.61  
% 185.00/29.61  Sub-proof #391 shows that the following formulas are inconsistent:
% 185.00/29.61  ----------------------------------------------------------------
% 185.00/29.61    (1)  all_56_5 = e2
% 185.00/29.61    (2)  all_56_5 = e1
% 185.00/29.61    (3)   ~ (e2 = e1)
% 185.00/29.61  
% 185.00/29.61  Begin of proof
% 185.00/29.61  | 
% 185.00/29.61  | COMBINE_EQS: (1), (2) imply:
% 185.00/29.61  |   (4)  e2 = e1
% 185.00/29.61  | 
% 185.00/29.61  | SIMP: (4) implies:
% 185.00/29.61  |   (5)  e2 = e1
% 185.00/29.61  | 
% 185.00/29.61  | REDUCE: (3), (5) imply:
% 185.00/29.61  |   (6)  $false
% 185.00/29.61  | 
% 185.00/29.61  | CLOSE: (6) is inconsistent.
% 185.00/29.61  | 
% 185.00/29.61  End of proof
% 185.00/29.61  
% 185.00/29.61  Sub-proof #392 shows that the following formulas are inconsistent:
% 185.00/29.61  ----------------------------------------------------------------
% 185.00/29.61    (1)  all_56_3 = e2 & op(e2, e2) = e2
% 185.00/29.61    (2)  all_56_3 = e0
% 185.00/29.61    (3)   ~ (e2 = e0)
% 185.00/29.61  
% 185.00/29.61  Begin of proof
% 185.00/29.61  | 
% 185.00/29.61  | ALPHA: (1) implies:
% 185.00/29.61  |   (4)  all_56_3 = e2
% 185.00/29.61  | 
% 185.00/29.61  | COMBINE_EQS: (2), (4) imply:
% 185.00/29.61  |   (5)  e2 = e0
% 185.00/29.61  | 
% 185.00/29.61  | REDUCE: (3), (5) imply:
% 185.00/29.61  |   (6)  $false
% 185.00/29.61  | 
% 185.00/29.61  | CLOSE: (6) is inconsistent.
% 185.00/29.61  | 
% 185.00/29.61  End of proof
% 185.00/29.61  
% 185.00/29.61  Sub-proof #393 shows that the following formulas are inconsistent:
% 185.00/29.61  ----------------------------------------------------------------
% 185.00/29.61    (1)  op(e0, e0) = all_6_2
% 185.00/29.61    (2)  all_56_10 = e3
% 185.00/29.61    (3)  all_56_0 = e3
% 185.00/29.61    (4)  all_56_2 = e2
% 185.00/29.61    (5)   ~ (e3 = e0)
% 185.00/29.61    (6)  op(e2, e1) = e1
% 185.00/29.61    (7)   ~ (e2 = e0)
% 185.00/29.61    (8)   ~ (e3 = e1)
% 185.00/29.61    (9)   ~ (all_6_2 = e2)
% 185.00/29.61    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.61            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.61    (11)  all_56_3 = e0
% 185.00/29.61    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.00/29.61          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.00/29.61    (13)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.00/29.61          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.00/29.61    (14)   ~ (e3 = e2)
% 185.00/29.61    (15)  op(e3, e3) = e1
% 185.00/29.61    (16)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.00/29.61          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.00/29.61    (17)  all_56_4 = e0
% 185.00/29.61    (18)  op(e3, e3) = e3
% 185.00/29.61    (19)  all_56_9 = e1
% 185.00/29.61    (20)   ~ (e2 = e1)
% 185.00/29.61  
% 185.00/29.61  Begin of proof
% 185.00/29.61  | 
% 185.00/29.61  | BETA: splitting (13) gives:
% 185.00/29.61  | 
% 185.00/29.61  | Case 1:
% 185.00/29.61  | | 
% 185.00/29.61  | |   (21)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 185.00/29.61  | |           e2)
% 185.00/29.61  | | 
% 185.00/29.61  | | BETA: splitting (21) gives:
% 185.00/29.61  | | 
% 185.00/29.61  | | Case 1:
% 185.00/29.61  | | | 
% 185.00/29.61  | | |   (22)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.61  | | | 
% 185.00/29.61  | | | ALPHA: (22) implies:
% 185.00/29.61  | | |   (23)  all_56_9 = e2
% 185.00/29.61  | | | 
% 185.00/29.61  | | | REF_CLOSE: (19), (20), (23) are inconsistent by sub-proof #1503.
% 185.00/29.61  | | | 
% 185.00/29.61  | | Case 2:
% 185.00/29.61  | | | 
% 185.00/29.61  | | |   (24)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.61  | | | 
% 185.00/29.61  | | | ALPHA: (24) implies:
% 185.00/29.61  | | |   (25)  all_56_10 = e2
% 185.00/29.61  | | | 
% 185.00/29.61  | | | REF_CLOSE: (2), (14), (25) are inconsistent by sub-proof #958.
% 185.00/29.61  | | | 
% 185.00/29.61  | | End of split
% 185.00/29.61  | | 
% 185.00/29.61  | Case 2:
% 185.00/29.61  | | 
% 185.00/29.61  | |   (26)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.61  | |           e2)
% 185.00/29.61  | | 
% 185.00/29.61  | | BETA: splitting (26) gives:
% 185.00/29.61  | | 
% 185.00/29.61  | | Case 1:
% 185.00/29.61  | | | 
% 185.00/29.61  | | |   (27)  all_56_11 = e2 & op(e1, e0) = e2
% 185.00/29.61  | | | 
% 185.00/29.61  | | | ALPHA: (27) implies:
% 185.00/29.61  | | |   (28)  all_56_11 = e2
% 185.00/29.61  | | | 
% 185.00/29.61  | | | BETA: splitting (12) gives:
% 185.00/29.61  | | | 
% 185.00/29.61  | | | Case 1:
% 185.00/29.61  | | | | 
% 185.00/29.61  | | | |   (29)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2)
% 185.00/29.61  | | | |           = e2)
% 185.00/29.61  | | | | 
% 185.00/29.61  | | | | BETA: splitting (29) gives:
% 185.00/29.61  | | | | 
% 185.00/29.61  | | | | Case 1:
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | |   (30)  all_56_0 = e2 & op(e3, e3) = e2
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | | REF_CLOSE: (3), (14), (30) are inconsistent by sub-proof #974.
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | Case 2:
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | | GROUND_INST: instantiating (10) with e1, e3, e3, e3, simplifying with
% 185.00/29.61  | | | | |              (15), (18) gives:
% 185.00/29.61  | | | | |   (31)  e3 = e1
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | | COMBINE_EQS: (2), (31) imply:
% 185.00/29.61  | | | | |   (32)  all_56_10 = e1
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | | REF_CLOSE: (4), (5), (6), (8), (10), (11), (14), (16), (32) are
% 185.00/29.61  | | | | |            inconsistent by sub-proof #787.
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | End of split
% 185.00/29.61  | | | | 
% 185.00/29.61  | | | Case 2:
% 185.00/29.61  | | | | 
% 185.00/29.61  | | | |   (33)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0)
% 185.00/29.61  | | | |           = e2)
% 185.00/29.61  | | | | 
% 185.00/29.61  | | | | BETA: splitting (33) gives:
% 185.00/29.61  | | | | 
% 185.00/29.61  | | | | Case 1:
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | |   (34)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | | REF_CLOSE: (7), (17), (34) are inconsistent by sub-proof #870.
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | Case 2:
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | |   (35)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | | ALPHA: (35) implies:
% 185.00/29.61  | | | | |   (36)  all_56_9 = e2
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | | COMBINE_EQS: (19), (36) imply:
% 185.00/29.61  | | | | |   (37)  e2 = e1
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | | SIMP: (37) implies:
% 185.00/29.61  | | | | |   (38)  e2 = e1
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | | COMBINE_EQS: (28), (38) imply:
% 185.00/29.61  | | | | |   (39)  all_56_11 = e1
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | | REF_CLOSE: (1), (2), (9), (10), (13), (14), (19), (20), (39) are
% 185.00/29.61  | | | | |            inconsistent by sub-proof #954.
% 185.00/29.61  | | | | | 
% 185.00/29.61  | | | | End of split
% 185.00/29.61  | | | | 
% 185.00/29.61  | | | End of split
% 185.00/29.61  | | | 
% 185.00/29.61  | | Case 2:
% 185.00/29.61  | | | 
% 185.00/29.61  | | |   (40)  all_56_15 = e2 & op(e0, e0) = e2
% 185.00/29.61  | | | 
% 185.00/29.61  | | | ALPHA: (40) implies:
% 185.00/29.61  | | |   (41)  op(e0, e0) = e2
% 185.00/29.61  | | | 
% 185.00/29.61  | | | REF_CLOSE: (1), (9), (10), (41) are inconsistent by sub-proof #1511.
% 185.00/29.61  | | | 
% 185.00/29.61  | | End of split
% 185.00/29.61  | | 
% 185.00/29.61  | End of split
% 185.00/29.61  | 
% 185.00/29.61  End of proof
% 185.00/29.61  
% 185.00/29.61  Sub-proof #394 shows that the following formulas are inconsistent:
% 185.00/29.61  ----------------------------------------------------------------
% 185.00/29.61    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 185.00/29.61    (2)   ~ (e1 = e0)
% 185.00/29.61    (3)  all_56_2 = e0
% 185.00/29.61    (4)   ~ (e2 = e0)
% 185.00/29.61    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.61           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.61    (6)  op(e3, e3) = e1
% 185.00/29.61    (7)  op(e2, e2) = e0
% 185.00/29.61    (8)  op(e2, e2) = e2
% 185.00/29.61  
% 185.00/29.61  Begin of proof
% 185.00/29.61  | 
% 185.00/29.61  | BETA: splitting (1) gives:
% 185.00/29.61  | 
% 185.00/29.61  | Case 1:
% 185.00/29.61  | | 
% 185.00/29.61  | |   (9)  all_56_0 = e2 & op(e3, e3) = e2
% 185.00/29.61  | | 
% 185.00/29.61  | | REF_CLOSE: (2), (5), (6), (7), (8), (9) are inconsistent by sub-proof #395.
% 185.00/29.61  | | 
% 185.00/29.61  | Case 2:
% 185.00/29.61  | | 
% 185.00/29.61  | |   (10)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.61  | | 
% 185.00/29.61  | | ALPHA: (10) implies:
% 185.00/29.61  | |   (11)  all_56_2 = e2
% 185.00/29.61  | | 
% 185.00/29.61  | | REF_CLOSE: (3), (4), (11) are inconsistent by sub-proof #1196.
% 185.00/29.61  | | 
% 185.00/29.61  | End of split
% 185.00/29.61  | 
% 185.00/29.61  End of proof
% 185.00/29.61  
% 185.00/29.61  Sub-proof #395 shows that the following formulas are inconsistent:
% 185.00/29.61  ----------------------------------------------------------------
% 185.00/29.61    (1)   ~ (e1 = e0)
% 185.00/29.61    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.61           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.61    (3)  all_56_0 = e2 & op(e3, e3) = e2
% 185.00/29.61    (4)  op(e3, e3) = e1
% 185.00/29.61    (5)  op(e2, e2) = e0
% 185.00/29.61    (6)  op(e2, e2) = e2
% 185.00/29.61  
% 185.00/29.61  Begin of proof
% 185.00/29.61  | 
% 185.00/29.61  | ALPHA: (3) implies:
% 185.00/29.61  |   (7)  op(e3, e3) = e2
% 185.00/29.61  | 
% 185.00/29.61  | GROUND_INST: instantiating (2) with e0, e2, e2, e2, simplifying with (5), (6)
% 185.00/29.61  |              gives:
% 185.00/29.61  |   (8)  e2 = e0
% 185.00/29.61  | 
% 185.00/29.61  | GROUND_INST: instantiating (2) with e1, e2, e3, e3, simplifying with (4), (7)
% 185.00/29.61  |              gives:
% 185.00/29.61  |   (9)  e2 = e1
% 185.00/29.61  | 
% 185.00/29.61  | COMBINE_EQS: (8), (9) imply:
% 185.00/29.61  |   (10)  e1 = e0
% 185.00/29.61  | 
% 185.00/29.61  | REDUCE: (1), (10) imply:
% 185.00/29.61  |   (11)  $false
% 185.00/29.61  | 
% 185.00/29.61  | CLOSE: (11) is inconsistent.
% 185.00/29.61  | 
% 185.00/29.61  End of proof
% 185.00/29.61  
% 185.00/29.61  Sub-proof #396 shows that the following formulas are inconsistent:
% 185.00/29.61  ----------------------------------------------------------------
% 185.00/29.61    (1)  all_56_8 = e1 & op(e1, e1) = e1
% 185.00/29.61    (2)  all_56_8 = e3
% 185.00/29.61    (3)   ~ (e3 = e1)
% 185.00/29.61  
% 185.00/29.61  Begin of proof
% 185.00/29.61  | 
% 185.00/29.61  | ALPHA: (1) implies:
% 185.00/29.61  |   (4)  all_56_8 = e1
% 185.00/29.61  | 
% 185.00/29.61  | COMBINE_EQS: (2), (4) imply:
% 185.00/29.61  |   (5)  e3 = e1
% 185.00/29.61  | 
% 185.00/29.61  | REDUCE: (3), (5) imply:
% 185.00/29.61  |   (6)  $false
% 185.00/29.61  | 
% 185.00/29.61  | CLOSE: (6) is inconsistent.
% 185.00/29.61  | 
% 185.00/29.61  End of proof
% 185.00/29.61  
% 185.00/29.61  Sub-proof #397 shows that the following formulas are inconsistent:
% 185.00/29.61  ----------------------------------------------------------------
% 185.00/29.61    (1)  op(e0, e0) = all_6_2
% 185.00/29.61    (2)   ~ (e1 = e0)
% 185.00/29.61    (3)   ~ (all_52_9 = e0)
% 185.00/29.61    (4)   ~ (e3 = e0)
% 185.00/29.61    (5)  op(e2, e1) = all_52_9
% 185.00/29.61    (6)   ~ (e2 = e0)
% 185.00/29.61    (7)   ~ (all_6_2 = e2)
% 185.00/29.61    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.61           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.61    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.00/29.61         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.00/29.61    (10)  all_56_4 = e1
% 185.00/29.61    (11)  all_56_8 = e3
% 185.00/29.61    (12)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.00/29.61  
% 185.00/29.61  Begin of proof
% 185.00/29.61  | 
% 185.00/29.61  | BETA: splitting (12) gives:
% 185.00/29.61  | 
% 185.00/29.61  | Case 1:
% 185.00/29.61  | | 
% 185.00/29.61  | |   (13)  all_56_14 = e2 & op(e0, e1) = e2
% 185.00/29.61  | | 
% 185.00/29.61  | | ALPHA: (13) implies:
% 185.00/29.61  | |   (14)  all_56_14 = e2
% 185.00/29.61  | | 
% 185.00/29.61  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (14) are
% 185.00/29.61  | |            inconsistent by sub-proof #414.
% 185.00/29.61  | | 
% 185.00/29.61  | Case 2:
% 185.00/29.61  | | 
% 185.00/29.61  | |   (15)  all_56_15 = e2 & op(e0, e0) = e2
% 185.00/29.61  | | 
% 185.00/29.61  | | ALPHA: (15) implies:
% 185.00/29.61  | |   (16)  op(e0, e0) = e2
% 185.00/29.61  | | 
% 185.00/29.61  | | REF_CLOSE: (1), (7), (8), (16) are inconsistent by sub-proof #1511.
% 185.00/29.61  | | 
% 185.00/29.61  | End of split
% 185.00/29.61  | 
% 185.00/29.61  End of proof
% 185.00/29.61  
% 185.00/29.61  Sub-proof #398 shows that the following formulas are inconsistent:
% 185.00/29.61  ----------------------------------------------------------------
% 185.00/29.61    (1)   ~ (e1 = e0)
% 185.00/29.61    (2)  op(e1, e3) = all_52_2
% 185.00/29.61    (3)   ~ (e3 = e0)
% 185.00/29.61    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.00/29.61         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.00/29.61    (5)   ~ (all_40_2 = e1) | ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 185.00/29.61           $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 185.00/29.61           $i(all_40_1))
% 185.00/29.61    (6)   ~ (all_52_6 = e0)
% 185.00/29.61    (7)   ~ (e2 = e0)
% 185.00/29.61    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.61           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.61    (9)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.00/29.61         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.00/29.61    (10)  all_56_6 = e3
% 185.00/29.61    (11)  op(e1, e2) = all_52_6
% 185.00/29.61    (12)  all_56_8 = e3
% 185.00/29.61    (13)   ~ (e2 = e1)
% 185.00/29.61    (14)  all_56_7 = e3
% 185.00/29.61    (15)  all_40_2 = e1
% 185.00/29.61    (16)  all_56_11 = e1
% 185.00/29.61  
% 185.00/29.61  Begin of proof
% 185.00/29.61  | 
% 185.00/29.61  | BETA: splitting (9) gives:
% 185.00/29.61  | 
% 185.00/29.61  | Case 1:
% 185.00/29.61  | | 
% 185.00/29.61  | |   (17)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 185.00/29.61  | |           e2)
% 185.00/29.61  | | 
% 185.00/29.61  | | BETA: splitting (17) gives:
% 185.00/29.61  | | 
% 185.00/29.61  | | Case 1:
% 185.00/29.61  | | | 
% 185.00/29.61  | | |   (18)  all_56_6 = e2 & op(e1, e3) = e2
% 185.00/29.61  | | | 
% 185.00/29.61  | | | ALPHA: (18) implies:
% 185.00/29.61  | | |   (19)  all_56_6 = e2
% 185.00/29.61  | | | 
% 185.00/29.61  | | | REF_CLOSE: (1), (3), (4), (6), (7), (8), (11), (12), (16), (19) are
% 185.00/29.61  | | |            inconsistent by sub-proof #401.
% 185.00/29.61  | | | 
% 185.00/29.61  | | Case 2:
% 185.00/29.61  | | | 
% 185.00/29.61  | | |   (20)  all_56_7 = e2 & op(e1, e2) = e2
% 185.00/29.61  | | | 
% 185.00/29.61  | | | ALPHA: (20) implies:
% 185.00/29.61  | | |   (21)  all_56_7 = e2
% 185.00/29.61  | | | 
% 185.00/29.61  | | | COMBINE_EQS: (14), (21) imply:
% 185.00/29.61  | | |   (22)  e3 = e2
% 185.00/29.61  | | | 
% 185.00/29.61  | | | SIMP: (22) implies:
% 185.00/29.61  | | |   (23)  e3 = e2
% 185.00/29.61  | | | 
% 185.00/29.61  | | | COMBINE_EQS: (10), (23) imply:
% 185.00/29.61  | | |   (24)  all_56_6 = e2
% 185.00/29.61  | | | 
% 185.00/29.61  | | | REF_CLOSE: (1), (3), (4), (6), (7), (8), (11), (12), (16), (24) are
% 185.00/29.61  | | |            inconsistent by sub-proof #401.
% 185.00/29.61  | | | 
% 185.00/29.61  | | End of split
% 185.00/29.61  | | 
% 185.00/29.61  | Case 2:
% 185.00/29.61  | | 
% 185.00/29.61  | |   (25)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 185.00/29.61  | |           e2)
% 185.00/29.61  | | 
% 185.00/29.61  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (11), (13), (15), (16), (25)
% 185.00/29.61  | |            are inconsistent by sub-proof #399.
% 185.00/29.61  | | 
% 185.00/29.61  | End of split
% 185.00/29.61  | 
% 185.00/29.61  End of proof
% 185.00/29.61  
% 185.00/29.61  Sub-proof #399 shows that the following formulas are inconsistent:
% 185.00/29.61  ----------------------------------------------------------------
% 185.00/29.61    (1)   ~ (e1 = e0)
% 185.00/29.61    (2)  op(e1, e3) = all_52_2
% 185.00/29.61    (3)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.00/29.61         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.00/29.61    (4)   ~ (all_40_2 = e1) | ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 185.00/29.61           $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 185.00/29.61           $i(all_40_1))
% 185.00/29.61    (5)   ~ (all_52_6 = e0)
% 185.00/29.61    (6)   ~ (e2 = e0)
% 185.00/29.62    (7)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.00/29.62    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.62           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.62    (9)  op(e1, e2) = all_52_6
% 185.00/29.62    (10)   ~ (e2 = e1)
% 185.00/29.62    (11)  all_40_2 = e1
% 185.00/29.62    (12)  all_56_11 = e1
% 185.00/29.62  
% 185.00/29.62  Begin of proof
% 185.00/29.62  | 
% 185.00/29.62  | BETA: splitting (7) gives:
% 185.00/29.62  | 
% 185.00/29.62  | Case 1:
% 185.00/29.62  | | 
% 185.00/29.62  | |   (13)  all_56_8 = e2 & op(e1, e1) = e2
% 185.00/29.62  | | 
% 185.00/29.62  | | ALPHA: (13) implies:
% 185.00/29.62  | |   (14)  op(e1, e1) = e2
% 185.00/29.62  | | 
% 185.00/29.62  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (11), (12), (14) are
% 185.00/29.62  | |            inconsistent by sub-proof #400.
% 185.00/29.62  | | 
% 185.00/29.62  | Case 2:
% 185.00/29.62  | | 
% 185.00/29.62  | |   (15)  all_56_11 = e2 & op(e1, e0) = e2
% 185.00/29.62  | | 
% 185.00/29.62  | | REF_CLOSE: (10), (12), (15) are inconsistent by sub-proof #956.
% 185.00/29.62  | | 
% 185.00/29.62  | End of split
% 185.00/29.62  | 
% 185.00/29.62  End of proof
% 185.00/29.62  
% 185.00/29.62  Sub-proof #400 shows that the following formulas are inconsistent:
% 185.00/29.62  ----------------------------------------------------------------
% 185.00/29.62    (1)   ~ (e1 = e0)
% 185.00/29.62    (2)  op(e1, e3) = all_52_2
% 185.00/29.62    (3)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.00/29.62         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.00/29.62    (4)   ~ (all_40_2 = e1) | ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 185.00/29.62           $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 185.00/29.62           $i(all_40_1))
% 185.00/29.62    (5)   ~ (all_52_6 = e0)
% 185.00/29.62    (6)   ~ (e2 = e0)
% 185.00/29.62    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.62           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.62    (8)  op(e1, e2) = all_52_6
% 185.00/29.62    (9)  op(e1, e1) = e2
% 185.00/29.62    (10)  all_40_2 = e1
% 185.00/29.62    (11)  all_56_11 = e1
% 185.00/29.62  
% 185.00/29.62  Begin of proof
% 185.00/29.62  | 
% 185.00/29.62  | BETA: splitting (3) gives:
% 185.00/29.62  | 
% 185.00/29.62  | Case 1:
% 185.00/29.62  | | 
% 185.00/29.62  | |   (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 185.00/29.62  | |           e0)
% 185.00/29.62  | | 
% 185.00/29.62  | | BETA: splitting (12) gives:
% 185.00/29.62  | | 
% 185.00/29.62  | | Case 1:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (13)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.62  | | | 
% 185.00/29.62  | | | ALPHA: (13) implies:
% 185.00/29.62  | | |   (14)  op(e1, e3) = e0
% 185.00/29.62  | | | 
% 185.00/29.62  | | | REF_CLOSE: (2), (4), (7), (9), (10), (14) are inconsistent by sub-proof
% 185.00/29.62  | | |            #656.
% 185.00/29.62  | | | 
% 185.00/29.62  | | Case 2:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (15)  all_56_7 = e0 & op(e1, e2) = e0
% 185.00/29.62  | | | 
% 185.00/29.62  | | | REF_CLOSE: (5), (7), (8), (15) are inconsistent by sub-proof #1199.
% 185.00/29.62  | | | 
% 185.00/29.62  | | End of split
% 185.00/29.62  | | 
% 185.00/29.62  | Case 2:
% 185.00/29.62  | | 
% 185.00/29.62  | |   (16)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.00/29.62  | |           e0)
% 185.00/29.62  | | 
% 185.00/29.62  | | BETA: splitting (16) gives:
% 185.00/29.62  | | 
% 185.00/29.62  | | Case 1:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (17)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.62  | | | 
% 185.00/29.62  | | | ALPHA: (17) implies:
% 185.00/29.62  | | |   (18)  op(e1, e1) = e0
% 185.00/29.62  | | | 
% 185.00/29.62  | | | REF_CLOSE: (6), (7), (9), (18) are inconsistent by sub-proof #1230.
% 185.00/29.62  | | | 
% 185.00/29.62  | | Case 2:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (19)  all_56_11 = e0 & op(e1, e0) = e0
% 185.00/29.62  | | | 
% 185.00/29.62  | | | REF_CLOSE: (1), (11), (19) are inconsistent by sub-proof #1207.
% 185.00/29.62  | | | 
% 185.00/29.62  | | End of split
% 185.00/29.62  | | 
% 185.00/29.62  | End of split
% 185.00/29.62  | 
% 185.00/29.62  End of proof
% 185.00/29.62  
% 185.00/29.62  Sub-proof #401 shows that the following formulas are inconsistent:
% 185.00/29.62  ----------------------------------------------------------------
% 185.00/29.62    (1)  all_56_6 = e2
% 185.00/29.62    (2)   ~ (e1 = e0)
% 185.00/29.62    (3)   ~ (e3 = e0)
% 185.00/29.62    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.00/29.62         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.00/29.62    (5)   ~ (all_52_6 = e0)
% 185.00/29.62    (6)   ~ (e2 = e0)
% 185.00/29.62    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.62           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.62    (8)  op(e1, e2) = all_52_6
% 185.00/29.62    (9)  all_56_8 = e3
% 185.00/29.62    (10)  all_56_11 = e1
% 185.00/29.62  
% 185.00/29.62  Begin of proof
% 185.00/29.62  | 
% 185.00/29.62  | BETA: splitting (4) gives:
% 185.00/29.62  | 
% 185.00/29.62  | Case 1:
% 185.00/29.62  | | 
% 185.00/29.62  | |   (11)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 185.00/29.62  | |           e0)
% 185.00/29.62  | | 
% 185.00/29.62  | | BETA: splitting (11) gives:
% 185.00/29.62  | | 
% 185.00/29.62  | | Case 1:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (12)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.62  | | | 
% 185.00/29.62  | | | REF_CLOSE: (1), (6), (12) are inconsistent by sub-proof #1455.
% 185.00/29.62  | | | 
% 185.00/29.62  | | Case 2:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (13)  all_56_7 = e0 & op(e1, e2) = e0
% 185.00/29.62  | | | 
% 185.00/29.62  | | | REF_CLOSE: (5), (7), (8), (13) are inconsistent by sub-proof #1199.
% 185.00/29.62  | | | 
% 185.00/29.62  | | End of split
% 185.00/29.62  | | 
% 185.00/29.62  | Case 2:
% 185.00/29.62  | | 
% 185.00/29.62  | |   (14)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.00/29.62  | |           e0)
% 185.00/29.62  | | 
% 185.00/29.62  | | BETA: splitting (14) gives:
% 185.00/29.62  | | 
% 185.00/29.62  | | Case 1:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (15)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.62  | | | 
% 185.00/29.62  | | | REF_CLOSE: (3), (9), (15) are inconsistent by sub-proof #416.
% 185.00/29.62  | | | 
% 185.00/29.62  | | Case 2:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (16)  all_56_11 = e0 & op(e1, e0) = e0
% 185.00/29.62  | | | 
% 185.00/29.62  | | | ALPHA: (16) implies:
% 185.00/29.62  | | |   (17)  all_56_11 = e0
% 185.00/29.62  | | | 
% 185.00/29.62  | | | REF_CLOSE: (2), (10), (17) are inconsistent by sub-proof #736.
% 185.00/29.62  | | | 
% 185.00/29.62  | | End of split
% 185.00/29.62  | | 
% 185.00/29.62  | End of split
% 185.00/29.62  | 
% 185.00/29.62  End of proof
% 185.00/29.62  
% 185.00/29.62  Sub-proof #402 shows that the following formulas are inconsistent:
% 185.00/29.62  ----------------------------------------------------------------
% 185.00/29.62    (1)  op(e0, e0) = all_6_2
% 185.00/29.62    (2)   ~ (all_4_2 = e0)
% 185.00/29.62    (3)   ~ (e1 = e0)
% 185.00/29.62    (4)   ~ (e3 = e0)
% 185.00/29.62    (5)  op(e0, e3) = e1
% 185.00/29.62    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.00/29.62         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.62    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.00/29.62         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.00/29.62    (8)  all_56_2 = e0
% 185.00/29.62    (9)   ~ (e2 = e0)
% 185.00/29.62    (10)   ~ (e3 = e1)
% 185.00/29.62    (11)   ~ (all_6_2 = e2)
% 185.00/29.62    (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.62          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.62    (13)   ~ (all_52_7 = e0)
% 185.00/29.62    (14)  op(e0, e3) = all_52_3
% 185.00/29.62    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.62            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.62    (16)   ~ (e3 = e2)
% 185.00/29.62    (17)  all_56_12 = e1
% 185.00/29.62    (18)  op(e3, e3) = all_4_2
% 185.00/29.62    (19)  op(e3, e2) = all_52_4
% 185.00/29.62    (20)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.00/29.62          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.00/29.62            e3)
% 185.00/29.62    (21)  all_56_8 = e3
% 185.00/29.62    (22)   ~ (all_52_4 = e0)
% 185.00/29.62    (23)  all_56_9 = e1
% 185.00/29.62    (24)  op(e2, e1) = e3
% 185.00/29.62    (25)   ~ (e2 = e1)
% 185.00/29.62    (26)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.62          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.62            e2)
% 185.00/29.62    (27)  op(e0, e2) = all_52_7
% 185.00/29.62    (28)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.62              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.00/29.62                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.00/29.62                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.00/29.62    (29)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.00/29.62          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.00/29.62  
% 185.00/29.62  Begin of proof
% 185.00/29.62  | 
% 185.00/29.62  | BETA: splitting (6) gives:
% 185.00/29.62  | 
% 185.00/29.62  | Case 1:
% 185.00/29.62  | | 
% 185.00/29.62  | |   (30)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 185.00/29.62  | |           e0)
% 185.00/29.62  | | 
% 185.00/29.62  | | REF_CLOSE: (2), (15), (18), (19), (22), (30) are inconsistent by sub-proof
% 185.00/29.62  | |            #1060.
% 185.00/29.62  | | 
% 185.00/29.62  | Case 2:
% 185.00/29.62  | | 
% 185.00/29.62  | |   (31)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 185.00/29.62  | |           e0)
% 185.00/29.62  | | 
% 185.00/29.62  | | BETA: splitting (31) gives:
% 185.00/29.62  | | 
% 185.00/29.62  | | Case 1:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (32)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.62  | | | 
% 185.00/29.62  | | | ALPHA: (32) implies:
% 185.00/29.62  | | |   (33)  all_56_4 = e0
% 185.00/29.62  | | | 
% 185.00/29.62  | | | BETA: splitting (7) gives:
% 185.00/29.62  | | | 
% 185.00/29.62  | | | Case 1:
% 185.00/29.62  | | | | 
% 185.00/29.62  | | | |   (34)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3)
% 185.00/29.62  | | | |           = e2)
% 185.00/29.62  | | | | 
% 185.00/29.62  | | | | BETA: splitting (34) gives:
% 185.00/29.62  | | | | 
% 185.00/29.62  | | | | Case 1:
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | |   (35)  all_56_0 = e2 & op(e3, e3) = e2
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | ALPHA: (35) implies:
% 185.00/29.62  | | | | |   (36)  all_56_0 = e2
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 185.00/29.62  | | | | |            (14), (15), (16), (17), (20), (21), (24), (25), (26), (27),
% 185.00/29.62  | | | | |            (28), (29), (33), (36) are inconsistent by sub-proof #403.
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | Case 2:
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | |   (37)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | ALPHA: (37) implies:
% 185.00/29.62  | | | | |   (38)  all_56_2 = e2
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | REF_CLOSE: (8), (9), (38) are inconsistent by sub-proof #1196.
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | End of split
% 185.00/29.62  | | | | 
% 185.00/29.62  | | | Case 2:
% 185.00/29.62  | | | | 
% 185.00/29.62  | | | |   (39)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3)
% 185.00/29.62  | | | |           = e2)
% 185.00/29.62  | | | | 
% 185.00/29.62  | | | | BETA: splitting (39) gives:
% 185.00/29.62  | | | | 
% 185.00/29.62  | | | | Case 1:
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | |   (40)  all_56_6 = e2 & op(e1, e3) = e2
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | ALPHA: (40) implies:
% 185.00/29.62  | | | | |   (41)  all_56_6 = e2
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | BETA: splitting (29) gives:
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | Case 1:
% 185.00/29.62  | | | | | | 
% 185.00/29.62  | | | | | |   (42)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2,
% 185.00/29.62  | | | | | |             e1) = e1)
% 185.00/29.62  | | | | | | 
% 185.00/29.62  | | | | | | BETA: splitting (42) gives:
% 185.00/29.62  | | | | | | 
% 185.00/29.62  | | | | | | Case 1:
% 185.00/29.62  | | | | | | | 
% 185.00/29.62  | | | | | | |   (43)  all_56_4 = e1 & op(e3, e1) = e1
% 185.00/29.62  | | | | | | | 
% 185.00/29.62  | | | | | | | ALPHA: (43) implies:
% 185.00/29.62  | | | | | | |   (44)  all_56_4 = e1
% 185.00/29.62  | | | | | | | 
% 185.00/29.62  | | | | | | | REF_CLOSE: (3), (33), (44) are inconsistent by sub-proof #815.
% 185.00/29.62  | | | | | | | 
% 185.00/29.62  | | | | | | Case 2:
% 185.00/29.62  | | | | | | | 
% 185.00/29.62  | | | | | | |   (45)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.62  | | | | | | | 
% 185.00/29.62  | | | | | | | ALPHA: (45) implies:
% 185.00/29.62  | | | | | | |   (46)  op(e2, e1) = e1
% 185.00/29.62  | | | | | | | 
% 185.00/29.62  | | | | | | | REF_CLOSE: (10), (15), (24), (46) are inconsistent by sub-proof
% 185.00/29.62  | | | | | | |            #1456.
% 185.00/29.62  | | | | | | | 
% 185.00/29.62  | | | | | | End of split
% 185.00/29.62  | | | | | | 
% 185.00/29.62  | | | | | Case 2:
% 185.00/29.62  | | | | | | 
% 185.00/29.62  | | | | | |   (47)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0,
% 185.00/29.62  | | | | | |             e1) = e1)
% 185.00/29.62  | | | | | | 
% 185.00/29.62  | | | | | | BETA: splitting (47) gives:
% 185.00/29.62  | | | | | | 
% 185.00/29.62  | | | | | | Case 1:
% 185.00/29.62  | | | | | | | 
% 185.00/29.62  | | | | | | |   (48)  all_56_8 = e1 & op(e1, e1) = e1
% 185.00/29.62  | | | | | | | 
% 185.00/29.62  | | | | | | | REF_CLOSE: (10), (21), (48) are inconsistent by sub-proof #407.
% 185.00/29.62  | | | | | | | 
% 185.00/29.62  | | | | | | Case 2:
% 185.00/29.62  | | | | | | | 
% 185.00/29.62  | | | | | | |   (49)  all_56_14 = e1 & op(e0, e1) = e1
% 185.00/29.62  | | | | | | | 
% 185.00/29.62  | | | | | | | ALPHA: (49) implies:
% 185.00/29.62  | | | | | | |   (50)  all_56_14 = e1
% 185.00/29.62  | | | | | | | 
% 185.00/29.62  | | | | | | | REF_CLOSE: (1), (3), (4), (5), (8), (10), (11), (12), (13), (14),
% 185.00/29.62  | | | | | | |            (15), (16), (17), (20), (25), (26), (27), (28), (41),
% 185.00/29.62  | | | | | | |            (50) are inconsistent by sub-proof #410.
% 185.00/29.62  | | | | | | | 
% 185.00/29.62  | | | | | | End of split
% 185.00/29.62  | | | | | | 
% 185.00/29.62  | | | | | End of split
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | Case 2:
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | |   (51)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | ALPHA: (51) implies:
% 185.00/29.62  | | | | |   (52)  all_56_12 = e2
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | REF_CLOSE: (17), (25), (52) are inconsistent by sub-proof #1383.
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | End of split
% 185.00/29.62  | | | | 
% 185.00/29.62  | | | End of split
% 185.00/29.62  | | | 
% 185.00/29.62  | | Case 2:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (53)  all_56_9 = e0 & op(e3, e0) = e0
% 185.00/29.62  | | | 
% 185.00/29.62  | | | REF_CLOSE: (3), (23), (53) are inconsistent by sub-proof #1505.
% 185.00/29.62  | | | 
% 185.00/29.62  | | End of split
% 185.00/29.62  | | 
% 185.00/29.62  | End of split
% 185.00/29.62  | 
% 185.00/29.62  End of proof
% 185.00/29.62  
% 185.00/29.62  Sub-proof #403 shows that the following formulas are inconsistent:
% 185.00/29.62  ----------------------------------------------------------------
% 185.00/29.62    (1)  op(e0, e0) = all_6_2
% 185.00/29.62    (2)   ~ (e1 = e0)
% 185.00/29.62    (3)   ~ (e3 = e0)
% 185.00/29.62    (4)  op(e0, e3) = e1
% 185.00/29.62    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.00/29.62         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.00/29.62    (6)  all_56_2 = e0
% 185.00/29.62    (7)   ~ (e2 = e0)
% 185.00/29.62    (8)   ~ (e3 = e1)
% 185.00/29.62    (9)   ~ (all_6_2 = e2)
% 185.00/29.62    (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.62          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.62    (11)   ~ (all_52_7 = e0)
% 185.00/29.62    (12)  op(e0, e3) = all_52_3
% 185.00/29.62    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.62            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.62    (14)  all_56_0 = e2
% 185.00/29.62    (15)   ~ (e3 = e2)
% 185.00/29.62    (16)  all_56_12 = e1
% 185.00/29.62    (17)  all_56_4 = e0
% 185.00/29.62    (18)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.00/29.62          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.00/29.62            e3)
% 185.00/29.62    (19)  all_56_8 = e3
% 185.00/29.62    (20)  op(e2, e1) = e3
% 185.00/29.62    (21)   ~ (e2 = e1)
% 185.00/29.62    (22)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.62          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.62            e2)
% 185.00/29.62    (23)  op(e0, e2) = all_52_7
% 185.00/29.62    (24)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.62              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.00/29.62                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.00/29.62                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.00/29.62    (25)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.00/29.62          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.00/29.62  
% 185.00/29.62  Begin of proof
% 185.00/29.62  | 
% 185.00/29.62  | BETA: splitting (25) gives:
% 185.00/29.62  | 
% 185.00/29.62  | Case 1:
% 185.00/29.62  | | 
% 185.00/29.62  | |   (26)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 185.00/29.62  | |           e1)
% 185.00/29.62  | | 
% 185.00/29.62  | | REF_CLOSE: (2), (8), (13), (17), (20), (26) are inconsistent by sub-proof
% 185.00/29.62  | |            #408.
% 185.00/29.62  | | 
% 185.00/29.62  | Case 2:
% 185.00/29.62  | | 
% 185.00/29.62  | |   (27)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 185.00/29.62  | |           e1)
% 185.00/29.62  | | 
% 185.00/29.62  | | BETA: splitting (27) gives:
% 185.00/29.62  | | 
% 185.00/29.62  | | Case 1:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (28)  all_56_8 = e1 & op(e1, e1) = e1
% 185.00/29.62  | | | 
% 185.00/29.62  | | | REF_CLOSE: (8), (19), (28) are inconsistent by sub-proof #407.
% 185.00/29.62  | | | 
% 185.00/29.62  | | Case 2:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (29)  all_56_14 = e1 & op(e0, e1) = e1
% 185.00/29.62  | | | 
% 185.00/29.62  | | | ALPHA: (29) implies:
% 185.00/29.62  | | |   (30)  all_56_14 = e1
% 185.00/29.62  | | | 
% 185.00/29.62  | | | BETA: splitting (10) gives:
% 185.00/29.62  | | | 
% 185.00/29.62  | | | Case 1:
% 185.00/29.62  | | | | 
% 185.00/29.62  | | | |   (31)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3)
% 185.00/29.62  | | | |           = e3)
% 185.00/29.62  | | | | 
% 185.00/29.62  | | | | BETA: splitting (31) gives:
% 185.00/29.62  | | | | 
% 185.00/29.62  | | | | Case 1:
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | |   (32)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | ALPHA: (32) implies:
% 185.00/29.62  | | | | |   (33)  all_56_0 = e3
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | COMBINE_EQS: (14), (33) imply:
% 185.00/29.62  | | | | |   (34)  e3 = e2
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | REDUCE: (15), (34) imply:
% 185.00/29.62  | | | | |   (35)  $false
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | CLOSE: (35) is inconsistent.
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | Case 2:
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | |   (36)  all_56_2 = e3 & op(e2, e3) = e3
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | ALPHA: (36) implies:
% 185.00/29.62  | | | | |   (37)  all_56_2 = e3
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | REF_CLOSE: (3), (6), (37) are inconsistent by sub-proof #700.
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | End of split
% 185.00/29.62  | | | | 
% 185.00/29.62  | | | Case 2:
% 185.00/29.62  | | | | 
% 185.00/29.62  | | | |   (38)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3)
% 185.00/29.62  | | | |           = e3)
% 185.00/29.62  | | | | 
% 185.00/29.62  | | | | BETA: splitting (38) gives:
% 185.00/29.62  | | | | 
% 185.00/29.62  | | | | Case 1:
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | |   (39)  all_56_6 = e3 & op(e1, e3) = e3
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | ALPHA: (39) implies:
% 185.00/29.62  | | | | |   (40)  all_56_6 = e3
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 185.00/29.62  | | | | |            (12), (13), (14), (15), (16), (18), (21), (22), (23), (24),
% 185.00/29.62  | | | | |            (30), (40) are inconsistent by sub-proof #404.
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | Case 2:
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | |   (41)  all_56_12 = e3 & op(e0, e3) = e3
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | ALPHA: (41) implies:
% 185.00/29.62  | | | | |   (42)  op(e0, e3) = e3
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | | REF_CLOSE: (4), (8), (12), (13), (42) are inconsistent by sub-proof
% 185.00/29.62  | | | | |            #1529.
% 185.00/29.62  | | | | | 
% 185.00/29.62  | | | | End of split
% 185.00/29.62  | | | | 
% 185.00/29.62  | | | End of split
% 185.00/29.62  | | | 
% 185.00/29.62  | | End of split
% 185.00/29.62  | | 
% 185.00/29.62  | End of split
% 185.00/29.62  | 
% 185.00/29.62  End of proof
% 185.00/29.62  
% 185.00/29.62  Sub-proof #404 shows that the following formulas are inconsistent:
% 185.00/29.62  ----------------------------------------------------------------
% 185.00/29.62    (1)  op(e0, e0) = all_6_2
% 185.00/29.62    (2)   ~ (e1 = e0)
% 185.00/29.62    (3)   ~ (e3 = e0)
% 185.00/29.62    (4)  op(e0, e3) = e1
% 185.00/29.62    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.00/29.62         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.00/29.62    (6)  all_56_2 = e0
% 185.00/29.62    (7)   ~ (e2 = e0)
% 185.00/29.62    (8)   ~ (e3 = e1)
% 185.00/29.62    (9)   ~ (all_6_2 = e2)
% 185.00/29.62    (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.62          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.62    (11)   ~ (all_52_7 = e0)
% 185.00/29.62    (12)  op(e0, e3) = all_52_3
% 185.00/29.62    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.62            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.62    (14)  all_56_14 = e1
% 185.00/29.62    (15)  all_56_0 = e2
% 185.00/29.62    (16)  all_56_6 = e3
% 185.00/29.62    (17)   ~ (e3 = e2)
% 185.00/29.62    (18)  all_56_12 = e1
% 185.00/29.62    (19)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.00/29.62          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.00/29.62            e3)
% 185.00/29.62    (20)   ~ (e2 = e1)
% 185.00/29.62    (21)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.62          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.62            e2)
% 185.00/29.62    (22)  op(e0, e2) = all_52_7
% 185.00/29.62    (23)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.62              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.00/29.62                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.00/29.62                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.00/29.62  
% 185.00/29.62  Begin of proof
% 185.00/29.62  | 
% 185.00/29.62  | BETA: splitting (19) gives:
% 185.00/29.62  | 
% 185.00/29.62  | Case 1:
% 185.00/29.62  | | 
% 185.00/29.62  | |   (24)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 185.00/29.62  | |           e3)
% 185.00/29.62  | | 
% 185.00/29.62  | | BETA: splitting (24) gives:
% 185.00/29.62  | | 
% 185.00/29.62  | | Case 1:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (25)  all_56_12 = e3 & op(e0, e3) = e3
% 185.00/29.62  | | | 
% 185.00/29.62  | | | ALPHA: (25) implies:
% 185.00/29.62  | | |   (26)  op(e0, e3) = e3
% 185.00/29.62  | | | 
% 185.00/29.62  | | | REF_CLOSE: (4), (8), (12), (13), (26) are inconsistent by sub-proof #1529.
% 185.00/29.62  | | | 
% 185.00/29.62  | | Case 2:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (27)  all_56_13 = e3 & op(e0, e2) = e3
% 185.00/29.62  | | | 
% 185.00/29.62  | | | ALPHA: (27) implies:
% 185.00/29.62  | | |   (28)  all_56_13 = e3
% 185.00/29.62  | | | 
% 185.00/29.62  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.00/29.62  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 185.00/29.62  | | |            (23), (28) are inconsistent by sub-proof #405.
% 185.00/29.62  | | | 
% 185.00/29.62  | | End of split
% 185.00/29.62  | | 
% 185.00/29.62  | Case 2:
% 185.00/29.62  | | 
% 185.00/29.62  | |   (29)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.00/29.62  | |           e3)
% 185.00/29.62  | | 
% 185.00/29.62  | | BETA: splitting (29) gives:
% 185.00/29.62  | | 
% 185.00/29.62  | | Case 1:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (30)  all_56_14 = e3 & op(e0, e1) = e3
% 185.00/29.62  | | | 
% 185.00/29.62  | | | REF_CLOSE: (8), (14), (30) are inconsistent by sub-proof #908.
% 185.00/29.62  | | | 
% 185.00/29.62  | | Case 2:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (31)  all_56_15 = e3 & op(e0, e0) = e3
% 185.00/29.62  | | | 
% 185.00/29.62  | | | REF_CLOSE: (2), (3), (11), (13), (14), (18), (22), (23), (31) are
% 185.00/29.62  | | |            inconsistent by sub-proof #411.
% 185.00/29.62  | | | 
% 185.00/29.62  | | End of split
% 185.00/29.62  | | 
% 185.00/29.62  | End of split
% 185.00/29.62  | 
% 185.00/29.62  End of proof
% 185.00/29.62  
% 185.00/29.62  Sub-proof #405 shows that the following formulas are inconsistent:
% 185.00/29.62  ----------------------------------------------------------------
% 185.00/29.62    (1)  op(e0, e0) = all_6_2
% 185.00/29.62    (2)   ~ (e1 = e0)
% 185.00/29.62    (3)  all_56_13 = e3
% 185.00/29.62    (4)   ~ (e3 = e0)
% 185.00/29.62    (5)  op(e0, e3) = e1
% 185.00/29.62    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.00/29.62         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.00/29.62    (7)  all_56_2 = e0
% 185.00/29.62    (8)   ~ (e2 = e0)
% 185.00/29.62    (9)   ~ (e3 = e1)
% 185.00/29.62    (10)   ~ (all_6_2 = e2)
% 185.00/29.62    (11)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.62          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.62    (12)   ~ (all_52_7 = e0)
% 185.00/29.62    (13)  op(e0, e3) = all_52_3
% 185.00/29.62    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.62            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.62    (15)  all_56_14 = e1
% 185.00/29.62    (16)  all_56_0 = e2
% 185.00/29.62    (17)  all_56_6 = e3
% 185.00/29.62    (18)   ~ (e3 = e2)
% 185.00/29.62    (19)  all_56_12 = e1
% 185.00/29.62    (20)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.00/29.62          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.00/29.62            e3)
% 185.00/29.62    (21)   ~ (e2 = e1)
% 185.00/29.62    (22)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.62          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.62            e2)
% 185.00/29.62    (23)  op(e0, e2) = all_52_7
% 185.00/29.62    (24)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.62              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.00/29.62                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.00/29.62                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.00/29.62  
% 185.00/29.62  Begin of proof
% 185.00/29.62  | 
% 185.00/29.62  | BETA: splitting (22) gives:
% 185.00/29.62  | 
% 185.00/29.62  | Case 1:
% 185.00/29.62  | | 
% 185.00/29.62  | |   (25)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 185.00/29.62  | |           e2)
% 185.00/29.62  | | 
% 185.00/29.62  | | BETA: splitting (25) gives:
% 185.00/29.62  | | 
% 185.00/29.62  | | Case 1:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (26)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.62  | | | 
% 185.00/29.62  | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (11), (13), (14), (16), (18),
% 185.00/29.62  | | |            (19), (21), (26) are inconsistent by sub-proof #406.
% 185.00/29.62  | | | 
% 185.00/29.62  | | Case 2:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (27)  all_56_13 = e2 & op(e0, e2) = e2
% 185.00/29.62  | | | 
% 185.00/29.62  | | | ALPHA: (27) implies:
% 185.00/29.62  | | |   (28)  all_56_13 = e2
% 185.00/29.62  | | | 
% 185.00/29.62  | | | COMBINE_EQS: (3), (28) imply:
% 185.00/29.62  | | |   (29)  e3 = e2
% 185.00/29.62  | | | 
% 185.00/29.62  | | | SIMP: (29) implies:
% 185.00/29.62  | | |   (30)  e3 = e2
% 185.00/29.62  | | | 
% 185.00/29.62  | | | COMBINE_EQS: (17), (30) imply:
% 185.00/29.62  | | |   (31)  all_56_6 = e2
% 185.00/29.62  | | | 
% 185.00/29.62  | | | REF_CLOSE: (1), (2), (4), (5), (7), (9), (10), (11), (12), (13), (14),
% 185.00/29.62  | | |            (15), (18), (19), (20), (21), (22), (23), (24), (31) are
% 185.00/29.62  | | |            inconsistent by sub-proof #410.
% 185.00/29.62  | | | 
% 185.00/29.62  | | End of split
% 185.00/29.62  | | 
% 185.00/29.62  | Case 2:
% 185.00/29.62  | | 
% 185.00/29.62  | |   (32)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.62  | |           e2)
% 185.00/29.62  | | 
% 185.00/29.62  | | BETA: splitting (32) gives:
% 185.00/29.62  | | 
% 185.00/29.62  | | Case 1:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (33)  all_56_14 = e2 & op(e0, e1) = e2
% 185.00/29.62  | | | 
% 185.00/29.62  | | | ALPHA: (33) implies:
% 185.00/29.62  | | |   (34)  all_56_14 = e2
% 185.00/29.62  | | | 
% 185.00/29.62  | | | COMBINE_EQS: (15), (34) imply:
% 185.00/29.62  | | |   (35)  e2 = e1
% 185.00/29.62  | | | 
% 185.00/29.62  | | | COMBINE_EQS: (16), (35) imply:
% 185.00/29.62  | | |   (36)  all_56_0 = e1
% 185.00/29.62  | | | 
% 185.00/29.62  | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (11), (13), (14), (18), (19),
% 185.00/29.62  | | |            (21), (36) are inconsistent by sub-proof #509.
% 185.00/29.62  | | | 
% 185.00/29.62  | | Case 2:
% 185.00/29.62  | | | 
% 185.00/29.62  | | |   (37)  all_56_15 = e2 & op(e0, e0) = e2
% 185.00/29.62  | | | 
% 185.00/29.62  | | | ALPHA: (37) implies:
% 185.00/29.62  | | |   (38)  op(e0, e0) = e2
% 185.00/29.62  | | | 
% 185.00/29.62  | | | REF_CLOSE: (1), (10), (14), (38) are inconsistent by sub-proof #1511.
% 185.00/29.62  | | | 
% 185.00/29.62  | | End of split
% 185.00/29.62  | | 
% 185.00/29.62  | End of split
% 185.00/29.62  | 
% 185.00/29.62  End of proof
% 185.00/29.62  
% 185.00/29.62  Sub-proof #406 shows that the following formulas are inconsistent:
% 185.00/29.62  ----------------------------------------------------------------
% 185.00/29.62    (1)   ~ (e3 = e0)
% 185.00/29.62    (2)  op(e0, e3) = e1
% 185.00/29.62    (3)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.00/29.62         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.00/29.62    (4)  all_56_2 = e0
% 185.00/29.62    (5)   ~ (e2 = e0)
% 185.00/29.62    (6)   ~ (e3 = e1)
% 185.00/29.62    (7)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.62         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.62    (8)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.62    (9)  op(e0, e3) = all_52_3
% 185.00/29.62    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.62            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.62    (11)  all_56_0 = e2
% 185.00/29.62    (12)   ~ (e3 = e2)
% 185.00/29.62    (13)  all_56_12 = e1
% 185.00/29.62    (14)   ~ (e2 = e1)
% 185.00/29.62  
% 185.00/29.62  Begin of proof
% 185.00/29.63  | 
% 185.00/29.63  | ALPHA: (8) implies:
% 185.00/29.63  |   (15)  all_56_12 = e2
% 185.00/29.63  | 
% 185.00/29.63  | COMBINE_EQS: (13), (15) imply:
% 185.00/29.63  |   (16)  e2 = e1
% 185.00/29.63  | 
% 185.00/29.63  | COMBINE_EQS: (11), (16) imply:
% 185.00/29.63  |   (17)  all_56_0 = e1
% 185.00/29.63  | 
% 185.00/29.63  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (12), (13), (14),
% 185.00/29.63  |            (17) are inconsistent by sub-proof #509.
% 185.00/29.63  | 
% 185.00/29.63  End of proof
% 185.00/29.63  
% 185.00/29.63  Sub-proof #407 shows that the following formulas are inconsistent:
% 185.00/29.63  ----------------------------------------------------------------
% 185.00/29.63    (1)  all_56_8 = e1 & op(e1, e1) = e1
% 185.00/29.63    (2)  all_56_8 = e3
% 185.00/29.63    (3)   ~ (e3 = e1)
% 185.00/29.63  
% 185.00/29.63  Begin of proof
% 185.00/29.63  | 
% 185.00/29.63  | ALPHA: (1) implies:
% 185.00/29.63  |   (4)  all_56_8 = e1
% 185.00/29.63  | 
% 185.00/29.63  | COMBINE_EQS: (2), (4) imply:
% 185.00/29.63  |   (5)  e3 = e1
% 185.00/29.63  | 
% 185.00/29.63  | SIMP: (5) implies:
% 185.00/29.63  |   (6)  e3 = e1
% 185.00/29.63  | 
% 185.00/29.63  | REDUCE: (3), (6) imply:
% 185.00/29.63  |   (7)  $false
% 185.00/29.63  | 
% 185.00/29.63  | CLOSE: (7) is inconsistent.
% 185.00/29.63  | 
% 185.00/29.63  End of proof
% 185.00/29.63  
% 185.00/29.63  Sub-proof #408 shows that the following formulas are inconsistent:
% 185.00/29.63  ----------------------------------------------------------------
% 185.00/29.63    (1)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 185.00/29.63    (2)   ~ (e1 = e0)
% 185.00/29.63    (3)   ~ (e3 = e1)
% 185.00/29.63    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.63    (5)  all_56_4 = e0
% 185.00/29.63    (6)  op(e2, e1) = e3
% 185.00/29.63  
% 185.00/29.63  Begin of proof
% 185.00/29.63  | 
% 185.00/29.63  | BETA: splitting (1) gives:
% 185.00/29.63  | 
% 185.00/29.63  | Case 1:
% 185.00/29.63  | | 
% 185.00/29.63  | |   (7)  all_56_4 = e1 & op(e3, e1) = e1
% 185.00/29.63  | | 
% 185.00/29.63  | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #935.
% 185.00/29.63  | | 
% 185.00/29.63  | Case 2:
% 185.00/29.63  | | 
% 185.00/29.63  | |   (8)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.63  | | 
% 185.00/29.63  | | ALPHA: (8) implies:
% 185.00/29.63  | |   (9)  op(e2, e1) = e1
% 185.00/29.63  | | 
% 185.00/29.63  | | REF_CLOSE: (3), (4), (6), (9) are inconsistent by sub-proof #1456.
% 185.00/29.63  | | 
% 185.00/29.63  | End of split
% 185.00/29.63  | 
% 185.00/29.63  End of proof
% 185.00/29.63  
% 185.00/29.63  Sub-proof #409 shows that the following formulas are inconsistent:
% 185.00/29.63  ----------------------------------------------------------------
% 185.00/29.63    (1)  op(e0, e0) = all_6_2
% 185.00/29.63    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.00/29.63         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.00/29.63    (3)  all_56_0 = e3
% 185.00/29.63    (4)   ~ (e1 = e0)
% 185.00/29.63    (5)   ~ (all_52_9 = e0)
% 185.00/29.63    (6)   ~ (e3 = e0)
% 185.00/29.63    (7)  op(e0, e3) = e1
% 185.00/29.63    (8)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.00/29.63         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.00/29.63    (9)  op(e2, e1) = all_52_9
% 185.00/29.63    (10)  all_56_5 = e3
% 185.00/29.63    (11)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.00/29.63          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.00/29.63    (12)  all_56_2 = e0
% 185.00/29.63    (13)   ~ (all_52_6 = e0)
% 185.00/29.63    (14)   ~ (e2 = e0)
% 185.00/29.63    (15)   ~ (e3 = e1)
% 185.00/29.63    (16)   ~ (all_6_2 = e2)
% 185.00/29.63    (17)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.63          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.63    (18)   ~ (all_52_7 = e0)
% 185.00/29.63    (19)  op(e0, e3) = all_52_3
% 185.00/29.63    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.63            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.63    (21)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.00/29.63          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.00/29.63    (22)   ~ (e3 = e2)
% 185.00/29.63    (23)  all_56_12 = e1
% 185.00/29.63    (24)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.00/29.63          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.00/29.63    (25)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.00/29.63          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.00/29.63            e3)
% 185.00/29.63    (26)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.00/29.63          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.00/29.63    (27)  op(e1, e2) = all_52_6
% 185.00/29.63    (28)  all_56_8 = e3
% 185.00/29.63    (29)  op(e2, e1) = e3
% 185.00/29.63    (30)   ~ (e2 = e1)
% 185.00/29.63    (31)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.63          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.63            e2)
% 185.00/29.63    (32)  op(e0, e2) = all_52_7
% 185.00/29.63    (33)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.63              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.00/29.63                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.00/29.63                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.00/29.63    (34)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.00/29.63          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.00/29.63  
% 185.00/29.63  Begin of proof
% 185.00/29.63  | 
% 185.00/29.63  | BETA: splitting (8) gives:
% 185.00/29.63  | 
% 185.00/29.63  | Case 1:
% 185.00/29.63  | | 
% 185.00/29.63  | |   (35)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 185.00/29.63  | |           e2)
% 185.00/29.63  | | 
% 185.00/29.63  | | BETA: splitting (35) gives:
% 185.00/29.63  | | 
% 185.00/29.63  | | Case 1:
% 185.00/29.63  | | | 
% 185.00/29.63  | | |   (36)  all_56_0 = e2 & op(e3, e3) = e2
% 185.00/29.63  | | | 
% 185.00/29.63  | | | REF_CLOSE: (3), (22), (36) are inconsistent by sub-proof #974.
% 185.00/29.63  | | | 
% 185.00/29.63  | | Case 2:
% 185.00/29.63  | | | 
% 185.00/29.63  | | |   (37)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.63  | | | 
% 185.00/29.63  | | | ALPHA: (37) implies:
% 185.00/29.63  | | |   (38)  all_56_2 = e2
% 185.00/29.63  | | | 
% 185.00/29.63  | | | REF_CLOSE: (12), (14), (38) are inconsistent by sub-proof #1196.
% 185.00/29.63  | | | 
% 185.00/29.63  | | End of split
% 185.00/29.63  | | 
% 185.00/29.63  | Case 2:
% 185.00/29.63  | | 
% 185.00/29.63  | |   (39)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 185.00/29.63  | |           e2)
% 185.00/29.63  | | 
% 185.00/29.63  | | BETA: splitting (39) gives:
% 185.00/29.63  | | 
% 185.00/29.63  | | Case 1:
% 185.00/29.63  | | | 
% 185.00/29.63  | | |   (40)  all_56_6 = e2 & op(e1, e3) = e2
% 185.00/29.63  | | | 
% 185.00/29.63  | | | ALPHA: (40) implies:
% 185.00/29.63  | | |   (41)  all_56_6 = e2
% 185.00/29.63  | | | 
% 185.00/29.63  | | | BETA: splitting (34) gives:
% 185.00/29.63  | | | 
% 185.00/29.63  | | | Case 1:
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | |   (42)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1)
% 185.00/29.63  | | | |           = e1)
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | | BETA: splitting (42) gives:
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | | Case 1:
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | |   (43)  all_56_4 = e1 & op(e3, e1) = e1
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | ALPHA: (43) implies:
% 185.00/29.63  | | | | |   (44)  all_56_4 = e1
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | REF_CLOSE: (2), (4), (5), (6), (9), (10), (11), (13), (14), (15),
% 185.00/29.63  | | | | |            (20), (21), (22), (24), (26), (27), (28), (30), (41), (44)
% 185.00/29.63  | | | | |            are inconsistent by sub-proof #413.
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | Case 2:
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | |   (45)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | ALPHA: (45) implies:
% 185.00/29.63  | | | | |   (46)  op(e2, e1) = e1
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | REF_CLOSE: (15), (20), (29), (46) are inconsistent by sub-proof #1456.
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | End of split
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | Case 2:
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | |   (47)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1)
% 185.00/29.63  | | | |           = e1)
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | | BETA: splitting (47) gives:
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | | Case 1:
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | |   (48)  all_56_8 = e1 & op(e1, e1) = e1
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | ALPHA: (48) implies:
% 185.00/29.63  | | | | |   (49)  all_56_8 = e1
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | COMBINE_EQS: (28), (49) imply:
% 185.00/29.63  | | | | |   (50)  e3 = e1
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | SIMP: (50) implies:
% 185.00/29.63  | | | | |   (51)  e3 = e1
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | COMBINE_EQS: (3), (51) imply:
% 185.00/29.63  | | | | |   (52)  all_56_0 = e1
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | REF_CLOSE: (6), (7), (12), (15), (17), (19), (20), (22), (41), (52)
% 185.00/29.63  | | | | |            are inconsistent by sub-proof #866.
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | Case 2:
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | |   (53)  all_56_14 = e1 & op(e0, e1) = e1
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | ALPHA: (53) implies:
% 185.00/29.63  | | | | |   (54)  all_56_14 = e1
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | REF_CLOSE: (1), (4), (6), (7), (12), (15), (16), (17), (18), (19),
% 185.00/29.63  | | | | |            (20), (22), (23), (25), (30), (31), (32), (33), (41), (54)
% 185.00/29.63  | | | | |            are inconsistent by sub-proof #410.
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | End of split
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | End of split
% 185.00/29.63  | | | 
% 185.00/29.63  | | Case 2:
% 185.00/29.63  | | | 
% 185.00/29.63  | | |   (55)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.63  | | | 
% 185.00/29.63  | | | ALPHA: (55) implies:
% 185.00/29.63  | | |   (56)  all_56_12 = e2
% 185.00/29.63  | | | 
% 185.00/29.63  | | | REF_CLOSE: (23), (30), (56) are inconsistent by sub-proof #1383.
% 185.00/29.63  | | | 
% 185.00/29.63  | | End of split
% 185.00/29.63  | | 
% 185.00/29.63  | End of split
% 185.00/29.63  | 
% 185.00/29.63  End of proof
% 185.00/29.63  
% 185.00/29.63  Sub-proof #410 shows that the following formulas are inconsistent:
% 185.00/29.63  ----------------------------------------------------------------
% 185.00/29.63    (1)  op(e0, e0) = all_6_2
% 185.00/29.63    (2)  all_56_6 = e2
% 185.00/29.63    (3)   ~ (e1 = e0)
% 185.00/29.63    (4)   ~ (e3 = e0)
% 185.00/29.63    (5)  op(e0, e3) = e1
% 185.00/29.63    (6)  all_56_2 = e0
% 185.00/29.63    (7)   ~ (e3 = e1)
% 185.00/29.63    (8)   ~ (all_6_2 = e2)
% 185.00/29.63    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.63         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.63    (10)   ~ (all_52_7 = e0)
% 185.00/29.63    (11)  op(e0, e3) = all_52_3
% 185.00/29.63    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.63            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.63    (13)  all_56_14 = e1
% 185.00/29.63    (14)   ~ (e3 = e2)
% 185.00/29.63    (15)  all_56_12 = e1
% 185.00/29.63    (16)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.00/29.63          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.00/29.63            e3)
% 185.00/29.63    (17)   ~ (e2 = e1)
% 185.00/29.63    (18)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.63          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.63            e2)
% 185.00/29.63    (19)  op(e0, e2) = all_52_7
% 185.00/29.63    (20)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.63              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.00/29.63                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.00/29.63                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.00/29.63  
% 185.00/29.63  Begin of proof
% 185.00/29.63  | 
% 185.00/29.63  | BETA: splitting (9) gives:
% 185.00/29.63  | 
% 185.00/29.63  | Case 1:
% 185.00/29.63  | | 
% 185.00/29.63  | |   (21)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 185.00/29.63  | |           e3)
% 185.00/29.63  | | 
% 185.00/29.63  | | BETA: splitting (21) gives:
% 185.00/29.63  | | 
% 185.00/29.63  | | Case 1:
% 185.00/29.63  | | | 
% 185.00/29.63  | | |   (22)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.63  | | | 
% 185.00/29.63  | | | ALPHA: (22) implies:
% 185.00/29.63  | | |   (23)  all_56_0 = e3
% 185.00/29.63  | | | 
% 185.00/29.63  | | | BETA: splitting (18) gives:
% 185.00/29.63  | | | 
% 185.00/29.63  | | | Case 1:
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | |   (24)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0,
% 185.00/29.63  | | | |             e2) = e2)
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | | BETA: splitting (24) gives:
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | | Case 1:
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | |   (25)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | REF_CLOSE: (15), (17), (25) are inconsistent by sub-proof #1591.
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | Case 2:
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | |   (26)  all_56_13 = e2 & op(e0, e2) = e2
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | ALPHA: (26) implies:
% 185.00/29.63  | | | | |   (27)  all_56_13 = e2
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | BETA: splitting (16) gives:
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | Case 1:
% 185.00/29.63  | | | | | | 
% 185.00/29.63  | | | | | |   (28)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 &
% 185.00/29.63  | | | | | |           op(e0, e2) = e3)
% 185.00/29.63  | | | | | | 
% 185.00/29.63  | | | | | | REF_CLOSE: (5), (7), (11), (12), (14), (27), (28) are inconsistent
% 185.00/29.63  | | | | | |            by sub-proof #706.
% 185.00/29.63  | | | | | | 
% 185.00/29.63  | | | | | Case 2:
% 185.00/29.63  | | | | | | 
% 185.00/29.63  | | | | | |   (29)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 &
% 185.00/29.63  | | | | | |           op(e0, e0) = e3)
% 185.00/29.63  | | | | | | 
% 185.00/29.63  | | | | | | BETA: splitting (29) gives:
% 185.00/29.63  | | | | | | 
% 185.00/29.63  | | | | | | Case 1:
% 185.00/29.63  | | | | | | | 
% 185.00/29.63  | | | | | | |   (30)  all_56_14 = e3 & op(e0, e1) = e3
% 185.00/29.63  | | | | | | | 
% 185.00/29.63  | | | | | | | ALPHA: (30) implies:
% 185.00/29.63  | | | | | | |   (31)  all_56_14 = e3
% 185.00/29.63  | | | | | | | 
% 185.00/29.63  | | | | | | | COMBINE_EQS: (13), (31) imply:
% 185.00/29.63  | | | | | | |   (32)  e3 = e1
% 185.00/29.63  | | | | | | | 
% 185.00/29.63  | | | | | | | COMBINE_EQS: (23), (32) imply:
% 185.00/29.63  | | | | | | |   (33)  all_56_0 = e1
% 185.00/29.63  | | | | | | | 
% 185.00/29.63  | | | | | | | REF_CLOSE: (2), (4), (5), (6), (7), (9), (11), (12), (14), (33)
% 185.00/29.63  | | | | | | |            are inconsistent by sub-proof #866.
% 185.00/29.63  | | | | | | | 
% 185.00/29.63  | | | | | | Case 2:
% 185.00/29.63  | | | | | | | 
% 185.00/29.63  | | | | | | |   (34)  all_56_15 = e3 & op(e0, e0) = e3
% 185.00/29.63  | | | | | | | 
% 185.00/29.63  | | | | | | | REF_CLOSE: (3), (4), (10), (12), (13), (15), (19), (20), (34) are
% 185.00/29.63  | | | | | | |            inconsistent by sub-proof #411.
% 185.00/29.63  | | | | | | | 
% 185.00/29.63  | | | | | | End of split
% 185.00/29.63  | | | | | | 
% 185.00/29.63  | | | | | End of split
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | End of split
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | Case 2:
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | |   (35)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 185.00/29.63  | | | |             e0) = e2)
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | | REF_CLOSE: (1), (8), (12), (13), (17), (35) are inconsistent by
% 185.00/29.63  | | | |            sub-proof #1132.
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | End of split
% 185.00/29.63  | | | 
% 185.00/29.63  | | Case 2:
% 185.00/29.63  | | | 
% 185.00/29.63  | | |   (36)  all_56_2 = e3 & op(e2, e3) = e3
% 185.00/29.63  | | | 
% 185.00/29.63  | | | ALPHA: (36) implies:
% 185.00/29.63  | | |   (37)  all_56_2 = e3
% 185.00/29.63  | | | 
% 185.00/29.63  | | | REF_CLOSE: (4), (6), (37) are inconsistent by sub-proof #700.
% 185.00/29.63  | | | 
% 185.00/29.63  | | End of split
% 185.00/29.63  | | 
% 185.00/29.63  | Case 2:
% 185.00/29.63  | | 
% 185.00/29.63  | |   (38)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 185.00/29.63  | |           e3)
% 185.00/29.63  | | 
% 185.00/29.63  | | REF_CLOSE: (2), (5), (7), (11), (12), (14), (38) are inconsistent by
% 185.00/29.63  | |            sub-proof #867.
% 185.00/29.63  | | 
% 185.00/29.63  | End of split
% 185.00/29.63  | 
% 185.00/29.63  End of proof
% 185.00/29.63  
% 185.00/29.63  Sub-proof #411 shows that the following formulas are inconsistent:
% 185.00/29.63  ----------------------------------------------------------------
% 185.00/29.63    (1)   ~ (e1 = e0)
% 185.00/29.63    (2)   ~ (e3 = e0)
% 185.00/29.63    (3)   ~ (all_52_7 = e0)
% 185.00/29.63    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.63    (5)  all_56_14 = e1
% 185.00/29.63    (6)  all_56_12 = e1
% 185.00/29.63    (7)  op(e0, e2) = all_52_7
% 185.00/29.63    (8)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.63             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.00/29.63               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.00/29.63               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.00/29.63    (9)  all_56_15 = e3 & op(e0, e0) = e3
% 185.00/29.63  
% 185.00/29.63  Begin of proof
% 185.00/29.63  | 
% 185.00/29.63  | ALPHA: (9) implies:
% 185.00/29.63  |   (10)  op(e0, e0) = e3
% 185.00/29.63  | 
% 185.00/29.63  | BETA: splitting (8) gives:
% 185.00/29.63  | 
% 185.00/29.63  | Case 1:
% 185.00/29.63  | | 
% 185.00/29.63  | |   (11)  all_56_15 = e0 & op(e0, e0) = e0
% 185.00/29.63  | | 
% 185.00/29.63  | | ALPHA: (11) implies:
% 185.00/29.63  | |   (12)  op(e0, e0) = e0
% 185.00/29.63  | | 
% 185.00/29.63  | | REF_CLOSE: (2), (4), (10), (12) are inconsistent by sub-proof #1540.
% 185.00/29.63  | | 
% 185.00/29.63  | Case 2:
% 185.00/29.63  | | 
% 185.00/29.63  | |   (13)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 185.00/29.63  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 185.00/29.63  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 185.00/29.63  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 185.00/29.63  | | 
% 185.00/29.63  | | ALPHA: (13) implies:
% 185.00/29.63  | |   (14)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 185.00/29.63  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.00/29.63  | | 
% 185.00/29.63  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (14) are inconsistent by sub-proof
% 185.00/29.63  | |            #412.
% 185.00/29.63  | | 
% 185.00/29.63  | End of split
% 185.00/29.63  | 
% 185.00/29.63  End of proof
% 185.00/29.63  
% 185.00/29.63  Sub-proof #412 shows that the following formulas are inconsistent:
% 185.00/29.63  ----------------------------------------------------------------
% 185.00/29.63    (1)   ~ (e1 = e0)
% 185.00/29.63    (2)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 185.00/29.63         (all_56_14 = e0 & op(e0, e1) = e0)
% 185.00/29.63    (3)   ~ (all_52_7 = e0)
% 185.00/29.63    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.63    (5)  all_56_14 = e1
% 185.00/29.63    (6)  all_56_12 = e1
% 185.00/29.63    (7)  op(e0, e2) = all_52_7
% 185.00/29.63  
% 185.00/29.63  Begin of proof
% 185.00/29.63  | 
% 185.00/29.63  | BETA: splitting (2) gives:
% 185.00/29.63  | 
% 185.00/29.63  | Case 1:
% 185.00/29.63  | | 
% 185.00/29.63  | |   (8)  all_56_12 = e0 & op(e0, e3) = e0
% 185.00/29.63  | | 
% 185.00/29.63  | | REF_CLOSE: (1), (6), (8) are inconsistent by sub-proof #1444.
% 185.00/29.63  | | 
% 185.00/29.63  | Case 2:
% 185.00/29.63  | | 
% 185.00/29.63  | |   (9)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.00/29.63  | |          e0)
% 185.00/29.63  | | 
% 185.00/29.63  | | BETA: splitting (9) gives:
% 185.00/29.63  | | 
% 185.00/29.63  | | Case 1:
% 185.00/29.63  | | | 
% 185.00/29.63  | | |   (10)  all_56_13 = e0 & op(e0, e2) = e0
% 185.00/29.63  | | | 
% 185.00/29.63  | | | ALPHA: (10) implies:
% 185.00/29.63  | | |   (11)  op(e0, e2) = e0
% 185.00/29.63  | | | 
% 185.00/29.63  | | | REF_CLOSE: (3), (4), (7), (11) are inconsistent by sub-proof #1463.
% 185.00/29.63  | | | 
% 185.00/29.63  | | Case 2:
% 185.00/29.63  | | | 
% 185.00/29.63  | | |   (12)  all_56_14 = e0 & op(e0, e1) = e0
% 185.00/29.63  | | | 
% 185.00/29.63  | | | REF_CLOSE: (1), (5), (12) are inconsistent by sub-proof #600.
% 185.00/29.63  | | | 
% 185.00/29.63  | | End of split
% 185.00/29.63  | | 
% 185.00/29.63  | End of split
% 185.00/29.63  | 
% 185.00/29.63  End of proof
% 185.00/29.63  
% 185.00/29.63  Sub-proof #413 shows that the following formulas are inconsistent:
% 185.00/29.63  ----------------------------------------------------------------
% 185.00/29.63    (1)  all_56_6 = e2
% 185.00/29.63    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.00/29.63         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.00/29.63    (3)   ~ (e1 = e0)
% 185.00/29.63    (4)   ~ (all_52_9 = e0)
% 185.00/29.63    (5)   ~ (e3 = e0)
% 185.00/29.63    (6)  op(e2, e1) = all_52_9
% 185.00/29.63    (7)  all_56_5 = e3
% 185.00/29.63    (8)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.00/29.63         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.00/29.63    (9)   ~ (all_52_6 = e0)
% 185.00/29.63    (10)   ~ (e2 = e0)
% 185.00/29.63    (11)   ~ (e3 = e1)
% 185.00/29.63    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.63            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.63    (13)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.00/29.63          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.00/29.63    (14)  all_56_4 = e1
% 185.00/29.63    (15)   ~ (e3 = e2)
% 185.00/29.63    (16)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.00/29.63          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.00/29.63    (17)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.00/29.63          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.00/29.63    (18)  op(e1, e2) = all_52_6
% 185.00/29.63    (19)  all_56_8 = e3
% 185.00/29.63    (20)   ~ (e2 = e1)
% 185.00/29.63  
% 185.00/29.63  Begin of proof
% 185.00/29.63  | 
% 185.00/29.63  | BETA: splitting (8) gives:
% 185.00/29.63  | 
% 185.00/29.63  | Case 1:
% 185.00/29.63  | | 
% 185.00/29.63  | |   (21)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 185.00/29.63  | |           e0)
% 185.00/29.63  | | 
% 185.00/29.63  | | BETA: splitting (21) gives:
% 185.00/29.63  | | 
% 185.00/29.63  | | Case 1:
% 185.00/29.63  | | | 
% 185.00/29.63  | | |   (22)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.63  | | | 
% 185.00/29.63  | | | REF_CLOSE: (1), (10), (22) are inconsistent by sub-proof #1455.
% 185.00/29.63  | | | 
% 185.00/29.63  | | Case 2:
% 185.00/29.63  | | | 
% 185.00/29.63  | | |   (23)  all_56_7 = e0 & op(e1, e2) = e0
% 185.00/29.63  | | | 
% 185.00/29.63  | | | REF_CLOSE: (9), (12), (18), (23) are inconsistent by sub-proof #1199.
% 185.00/29.63  | | | 
% 185.00/29.63  | | End of split
% 185.00/29.63  | | 
% 185.00/29.63  | Case 2:
% 185.00/29.63  | | 
% 185.00/29.63  | |   (24)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.00/29.63  | |           e0)
% 185.00/29.63  | | 
% 185.00/29.63  | | BETA: splitting (24) gives:
% 185.00/29.63  | | 
% 185.00/29.63  | | Case 1:
% 185.00/29.63  | | | 
% 185.00/29.63  | | |   (25)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.63  | | | 
% 185.00/29.63  | | | REF_CLOSE: (5), (19), (25) are inconsistent by sub-proof #418.
% 185.00/29.63  | | | 
% 185.00/29.63  | | Case 2:
% 185.00/29.63  | | | 
% 185.00/29.63  | | |   (26)  all_56_11 = e0 & op(e1, e0) = e0
% 185.00/29.63  | | | 
% 185.00/29.63  | | | ALPHA: (26) implies:
% 185.00/29.63  | | |   (27)  all_56_11 = e0
% 185.00/29.63  | | | 
% 185.00/29.63  | | | BETA: splitting (16) gives:
% 185.00/29.63  | | | 
% 185.00/29.63  | | | Case 1:
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | |   (28)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1)
% 185.00/29.63  | | | |           = e2)
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | | BETA: splitting (28) gives:
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | | Case 1:
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | |   (29)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | REF_CLOSE: (14), (20), (29) are inconsistent by sub-proof #1475.
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | Case 2:
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | |   (30)  all_56_5 = e2 & op(e2, e1) = e2
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | ALPHA: (30) implies:
% 185.00/29.63  | | | | |   (31)  all_56_5 = e2
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | REF_CLOSE: (7), (15), (31) are inconsistent by sub-proof #936.
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | End of split
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | Case 2:
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | |   (32)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1)
% 185.00/29.63  | | | |           = e2)
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | | BETA: splitting (32) gives:
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | | Case 1:
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | |   (33)  all_56_8 = e2 & op(e1, e1) = e2
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | ALPHA: (33) implies:
% 185.00/29.63  | | | | |   (34)  op(e1, e1) = e2
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | REF_CLOSE: (1), (2), (3), (5), (11), (12), (15), (17), (20), (27),
% 185.00/29.63  | | | | |            (34) are inconsistent by sub-proof #1162.
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | Case 2:
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | |   (35)  all_56_14 = e2 & op(e0, e1) = e2
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | ALPHA: (35) implies:
% 185.00/29.63  | | | | |   (36)  all_56_14 = e2
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | | REF_CLOSE: (3), (4), (5), (6), (10), (12), (13), (14), (19), (36) are
% 185.00/29.63  | | | | |            inconsistent by sub-proof #414.
% 185.00/29.63  | | | | | 
% 185.00/29.63  | | | | End of split
% 185.00/29.63  | | | | 
% 185.00/29.63  | | | End of split
% 185.00/29.63  | | | 
% 185.00/29.63  | | End of split
% 185.00/29.63  | | 
% 185.00/29.63  | End of split
% 185.00/29.63  | 
% 185.00/29.63  End of proof
% 185.00/29.63  
% 185.00/29.63  Sub-proof #414 shows that the following formulas are inconsistent:
% 185.00/29.63  ----------------------------------------------------------------
% 185.00/29.63    (1)   ~ (e1 = e0)
% 185.00/29.63    (2)   ~ (all_52_9 = e0)
% 185.00/29.63    (3)   ~ (e3 = e0)
% 185.00/29.63    (4)  op(e2, e1) = all_52_9
% 185.00/29.63    (5)   ~ (e2 = e0)
% 185.00/29.63    (6)  all_56_14 = e2
% 185.00/29.63    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.63    (8)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.00/29.63         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.00/29.63    (9)  all_56_4 = e1
% 185.00/29.63    (10)  all_56_8 = e3
% 185.00/29.63  
% 185.00/29.63  Begin of proof
% 185.00/29.63  | 
% 185.00/29.63  | BETA: splitting (8) gives:
% 185.00/29.63  | 
% 185.00/29.63  | Case 1:
% 185.00/29.63  | | 
% 185.00/29.63  | |   (11)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 185.00/29.63  | |           e0)
% 185.00/29.63  | | 
% 185.00/29.63  | | REF_CLOSE: (1), (2), (4), (7), (9), (11) are inconsistent by sub-proof #417.
% 185.00/29.63  | | 
% 185.00/29.63  | Case 2:
% 185.00/29.63  | | 
% 185.00/29.63  | |   (12)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.00/29.63  | |           e0)
% 185.00/29.63  | | 
% 185.00/29.63  | | REF_CLOSE: (3), (5), (6), (10), (12) are inconsistent by sub-proof #415.
% 185.00/29.63  | | 
% 185.00/29.63  | End of split
% 185.00/29.63  | 
% 185.00/29.63  End of proof
% 185.00/29.63  
% 185.00/29.63  Sub-proof #415 shows that the following formulas are inconsistent:
% 185.00/29.63  ----------------------------------------------------------------
% 185.00/29.63    (1)   ~ (e3 = e0)
% 185.00/29.63    (2)   ~ (e2 = e0)
% 185.00/29.63    (3)  all_56_14 = e2
% 185.00/29.63    (4)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.00/29.63    (5)  all_56_8 = e3
% 185.00/29.63  
% 185.00/29.63  Begin of proof
% 185.00/29.63  | 
% 185.00/29.63  | BETA: splitting (4) gives:
% 185.00/29.63  | 
% 185.00/29.63  | Case 1:
% 185.00/29.63  | | 
% 185.00/29.63  | |   (6)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.63  | | 
% 185.00/29.63  | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #416.
% 185.00/29.63  | | 
% 185.00/29.63  | Case 2:
% 185.00/29.63  | | 
% 185.00/29.63  | |   (7)  all_56_14 = e0 & op(e0, e1) = e0
% 185.00/29.63  | | 
% 185.00/29.63  | | ALPHA: (7) implies:
% 185.00/29.63  | |   (8)  all_56_14 = e0
% 185.00/29.63  | | 
% 185.00/29.63  | | REF_CLOSE: (2), (3), (8) are inconsistent by sub-proof #1437.
% 185.00/29.63  | | 
% 185.00/29.63  | End of split
% 185.00/29.63  | 
% 185.00/29.63  End of proof
% 185.00/29.63  
% 185.00/29.63  Sub-proof #416 shows that the following formulas are inconsistent:
% 185.00/29.63  ----------------------------------------------------------------
% 185.00/29.63    (1)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.63    (2)  all_56_8 = e3
% 185.00/29.63    (3)   ~ (e3 = e0)
% 185.00/29.63  
% 185.00/29.63  Begin of proof
% 185.00/29.63  | 
% 185.00/29.63  | ALPHA: (1) implies:
% 185.00/29.63  |   (4)  all_56_8 = e0
% 185.00/29.63  | 
% 185.00/29.63  | COMBINE_EQS: (2), (4) imply:
% 185.00/29.63  |   (5)  e3 = e0
% 185.00/29.63  | 
% 185.00/29.63  | REDUCE: (3), (5) imply:
% 185.00/29.63  |   (6)  $false
% 185.00/29.63  | 
% 185.00/29.63  | CLOSE: (6) is inconsistent.
% 185.00/29.63  | 
% 185.00/29.63  End of proof
% 185.00/29.63  
% 185.00/29.63  Sub-proof #417 shows that the following formulas are inconsistent:
% 185.00/29.63  ----------------------------------------------------------------
% 185.00/29.63    (1)   ~ (e1 = e0)
% 185.00/29.63    (2)   ~ (all_52_9 = e0)
% 185.00/29.63    (3)  op(e2, e1) = all_52_9
% 185.00/29.63    (4)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0)
% 185.00/29.63    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.63           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.63    (6)  all_56_4 = e1
% 185.00/29.63  
% 185.00/29.63  Begin of proof
% 185.00/29.63  | 
% 185.00/29.63  | BETA: splitting (4) gives:
% 185.00/29.63  | 
% 185.00/29.63  | Case 1:
% 185.00/29.63  | | 
% 185.00/29.63  | |   (7)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.63  | | 
% 185.00/29.63  | | ALPHA: (7) implies:
% 185.00/29.63  | |   (8)  all_56_4 = e0
% 185.00/29.63  | | 
% 185.00/29.63  | | REF_CLOSE: (1), (6), (8) are inconsistent by sub-proof #815.
% 185.00/29.63  | | 
% 185.00/29.63  | Case 2:
% 185.00/29.63  | | 
% 185.00/29.63  | |   (9)  all_56_5 = e0 & op(e2, e1) = e0
% 185.00/29.63  | | 
% 185.00/29.63  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #1476.
% 185.00/29.63  | | 
% 185.00/29.63  | End of split
% 185.00/29.63  | 
% 185.00/29.63  End of proof
% 185.00/29.63  
% 185.00/29.63  Sub-proof #418 shows that the following formulas are inconsistent:
% 185.00/29.63  ----------------------------------------------------------------
% 185.00/29.63    (1)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.63    (2)  all_56_8 = e3
% 185.00/29.63    (3)   ~ (e3 = e0)
% 185.00/29.63  
% 185.00/29.63  Begin of proof
% 185.00/29.63  | 
% 185.00/29.63  | ALPHA: (1) implies:
% 185.00/29.63  |   (4)  all_56_8 = e0
% 185.00/29.63  | 
% 185.00/29.63  | COMBINE_EQS: (2), (4) imply:
% 185.00/29.63  |   (5)  e3 = e0
% 185.00/29.63  | 
% 185.00/29.63  | SIMP: (5) implies:
% 185.00/29.63  |   (6)  e3 = e0
% 185.00/29.63  | 
% 185.00/29.63  | REDUCE: (3), (6) imply:
% 185.00/29.63  |   (7)  $false
% 185.00/29.63  | 
% 185.00/29.63  | CLOSE: (7) is inconsistent.
% 185.00/29.63  | 
% 185.00/29.63  End of proof
% 185.00/29.63  
% 185.00/29.63  Sub-proof #419 shows that the following formulas are inconsistent:
% 185.00/29.63  ----------------------------------------------------------------
% 185.00/29.63    (1)  op(e0, e0) = all_6_2
% 185.00/29.63    (2)   ~ (all_4_2 = e0)
% 185.00/29.63    (3)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.00/29.63         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.00/29.63    (4)   ~ (all_6_2 = e1)
% 185.00/29.63    (5)   ~ (e1 = e0)
% 185.00/29.63    (6)   ~ (e3 = e0)
% 185.00/29.63    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.00/29.63         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.00/29.63    (8)   ~ (e2 = e0)
% 185.00/29.63    (9)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.00/29.63         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.63    (10)   ~ (e3 = e1)
% 185.00/29.63    (11)   ~ (all_52_4 = all_52_7)
% 185.00/29.63    (12)   ~ (all_6_2 = e2)
% 185.00/29.63    (13)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.63          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.63    (14)  op(e2, e3) = all_52_1
% 185.00/29.63    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.63            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.63    (16)   ~ (all_52_6 = e2)
% 185.00/29.63    (17)   ~ (all_52_1 = e0)
% 185.00/29.64    (18)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.00/29.64          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.00/29.64            e1)
% 185.00/29.64    (19)  all_56_6 = e3
% 185.00/29.64    (20)   ~ (e3 = e2)
% 185.00/29.64    (21)  op(e3, e3) = e1
% 185.00/29.64    (22)  op(e1, e3) = e3
% 185.00/29.64    (23)  op(e3, e3) = all_4_2
% 185.00/29.64    (24)  all_56_7 = e1
% 185.00/29.64    (25)  op(e3, e2) = all_52_4
% 185.00/29.64    (26)  op(e1, e2) = all_52_6
% 185.00/29.64    (27)   ~ (e2 = e1)
% 185.00/29.64    (28)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.64          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.64            e2)
% 185.00/29.64    (29)  op(e3, e2) = e2
% 185.00/29.64    (30)  op(e0, e2) = all_52_7
% 185.00/29.64    (31)  op(e2, e2) = e0
% 185.00/29.64    (32)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.00/29.64          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.00/29.64  
% 185.00/29.64  Begin of proof
% 185.00/29.64  | 
% 185.00/29.64  | BETA: splitting (32) gives:
% 185.00/29.64  | 
% 185.00/29.64  | Case 1:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (33)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 185.00/29.64  | |           e0)
% 185.00/29.64  | | 
% 185.00/29.64  | | REF_CLOSE: (2), (14), (15), (17), (23), (33) are inconsistent by sub-proof
% 185.00/29.64  | |            #929.
% 185.00/29.64  | | 
% 185.00/29.64  | Case 2:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (34)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 185.00/29.64  | |           e0)
% 185.00/29.64  | | 
% 185.00/29.64  | | BETA: splitting (34) gives:
% 185.00/29.64  | | 
% 185.00/29.64  | | Case 1:
% 185.00/29.64  | | | 
% 185.00/29.64  | | |   (35)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.64  | | | 
% 185.00/29.64  | | | ALPHA: (35) implies:
% 185.00/29.64  | | |   (36)  op(e1, e3) = e0
% 185.00/29.64  | | | 
% 185.00/29.64  | | | REF_CLOSE: (6), (15), (22), (36) are inconsistent by sub-proof #1536.
% 185.00/29.64  | | | 
% 185.00/29.64  | | Case 2:
% 185.00/29.64  | | | 
% 185.00/29.64  | | |   (37)  all_56_12 = e0 & op(e0, e3) = e0
% 185.00/29.64  | | | 
% 185.00/29.64  | | | ALPHA: (37) implies:
% 185.00/29.64  | | |   (38)  all_56_12 = e0
% 185.00/29.64  | | |   (39)  op(e0, e3) = e0
% 185.00/29.64  | | | 
% 185.00/29.64  | | | BETA: splitting (3) gives:
% 185.00/29.64  | | | 
% 185.00/29.64  | | | Case 1:
% 185.00/29.64  | | | | 
% 185.00/29.64  | | | |   (40)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2)
% 185.00/29.64  | | | |           = e3)
% 185.00/29.64  | | | | 
% 185.00/29.64  | | | | REF_CLOSE: (6), (8), (9), (11), (15), (16), (20), (25), (26), (29),
% 185.00/29.64  | | | |            (30), (31), (40) are inconsistent by sub-proof #420.
% 185.00/29.64  | | | | 
% 185.00/29.64  | | | Case 2:
% 185.00/29.64  | | | | 
% 185.00/29.64  | | | |   (41)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2)
% 185.00/29.64  | | | |           = e3)
% 185.00/29.64  | | | | 
% 185.00/29.64  | | | | BETA: splitting (41) gives:
% 185.00/29.64  | | | | 
% 185.00/29.64  | | | | Case 1:
% 185.00/29.64  | | | | | 
% 185.00/29.64  | | | | |   (42)  all_56_7 = e3 & op(e1, e2) = e3
% 185.00/29.64  | | | | | 
% 185.00/29.64  | | | | | ALPHA: (42) implies:
% 185.00/29.64  | | | | |   (43)  all_56_7 = e3
% 185.00/29.64  | | | | | 
% 185.00/29.64  | | | | | COMBINE_EQS: (24), (43) imply:
% 185.00/29.64  | | | | |   (44)  e3 = e1
% 185.00/29.64  | | | | | 
% 185.00/29.64  | | | | | REF_CLOSE: (6), (7), (8), (10), (13), (15), (19), (20), (21), (27),
% 185.00/29.64  | | | | |            (38), (44) are inconsistent by sub-proof #644.
% 185.00/29.64  | | | | | 
% 185.00/29.64  | | | | Case 2:
% 185.00/29.64  | | | | | 
% 185.00/29.64  | | | | |   (45)  all_56_13 = e3 & op(e0, e2) = e3
% 185.00/29.64  | | | | | 
% 185.00/29.64  | | | | | ALPHA: (45) implies:
% 185.00/29.64  | | | | |   (46)  all_56_13 = e3
% 185.00/29.64  | | | | | 
% 185.00/29.64  | | | | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (10), (11), (12), (13), (15),
% 185.00/29.64  | | | | |            (18), (19), (20), (21), (25), (27), (28), (29), (30), (38),
% 185.00/29.64  | | | | |            (39), (46) are inconsistent by sub-proof #643.
% 185.00/29.64  | | | | | 
% 185.00/29.64  | | | | End of split
% 185.00/29.64  | | | | 
% 185.00/29.64  | | | End of split
% 185.00/29.64  | | | 
% 185.00/29.64  | | End of split
% 185.00/29.64  | | 
% 185.00/29.64  | End of split
% 185.00/29.64  | 
% 185.00/29.64  End of proof
% 185.00/29.64  
% 185.00/29.64  Sub-proof #420 shows that the following formulas are inconsistent:
% 185.00/29.64  ----------------------------------------------------------------
% 185.00/29.64    (1)   ~ (e3 = e0)
% 185.00/29.64    (2)   ~ (e2 = e0)
% 185.00/29.64    (3)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.00/29.64         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.64    (4)   ~ (all_52_4 = all_52_7)
% 185.00/29.64    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.64    (6)   ~ (all_52_6 = e2)
% 185.00/29.64    (7)   ~ (e3 = e2)
% 185.00/29.64    (8)  op(e3, e2) = all_52_4
% 185.00/29.64    (9)  op(e1, e2) = all_52_6
% 185.00/29.64    (10)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 185.00/29.64    (11)  op(e3, e2) = e2
% 185.00/29.64    (12)  op(e0, e2) = all_52_7
% 185.00/29.64    (13)  op(e2, e2) = e0
% 185.00/29.64  
% 185.00/29.64  Begin of proof
% 185.00/29.64  | 
% 185.00/29.64  | BETA: splitting (10) gives:
% 185.00/29.64  | 
% 185.00/29.64  | Case 1:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (14)  all_56_1 = e3 & op(e3, e2) = e3
% 185.00/29.64  | | 
% 185.00/29.64  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (14)
% 185.00/29.64  | |            are inconsistent by sub-proof #421.
% 185.00/29.64  | | 
% 185.00/29.64  | Case 2:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (15)  all_56_3 = e3 & op(e2, e2) = e3
% 185.00/29.64  | | 
% 185.00/29.64  | | ALPHA: (15) implies:
% 185.00/29.64  | |   (16)  op(e2, e2) = e3
% 185.00/29.64  | | 
% 185.00/29.64  | | REF_CLOSE: (1), (5), (13), (16) are inconsistent by sub-proof #1015.
% 185.00/29.64  | | 
% 185.00/29.64  | End of split
% 185.00/29.64  | 
% 185.00/29.64  End of proof
% 185.00/29.64  
% 185.00/29.64  Sub-proof #421 shows that the following formulas are inconsistent:
% 185.00/29.64  ----------------------------------------------------------------
% 185.00/29.64    (1)   ~ (e2 = e0)
% 185.00/29.64    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.00/29.64         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.64    (3)   ~ (all_52_4 = all_52_7)
% 185.00/29.64    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.64    (5)   ~ (all_52_6 = e2)
% 185.00/29.64    (6)   ~ (e3 = e2)
% 185.00/29.64    (7)  op(e3, e2) = all_52_4
% 185.00/29.64    (8)  op(e1, e2) = all_52_6
% 185.00/29.64    (9)  op(e3, e2) = e2
% 185.00/29.64    (10)  op(e0, e2) = all_52_7
% 185.00/29.64    (11)  op(e2, e2) = e0
% 185.00/29.64    (12)  all_56_1 = e3 & op(e3, e2) = e3
% 185.00/29.64  
% 185.00/29.64  Begin of proof
% 185.00/29.64  | 
% 185.00/29.64  | ALPHA: (12) implies:
% 185.00/29.64  |   (13)  all_56_1 = e3
% 185.00/29.64  | 
% 185.00/29.64  | BETA: splitting (2) gives:
% 185.00/29.64  | 
% 185.00/29.64  | Case 1:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (14)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 185.00/29.64  | |           e2)
% 185.00/29.64  | | 
% 185.00/29.64  | | BETA: splitting (14) gives:
% 185.00/29.64  | | 
% 185.00/29.64  | | Case 1:
% 185.00/29.64  | | | 
% 185.00/29.64  | | |   (15)  all_56_1 = e2 & op(e3, e2) = e2
% 185.00/29.64  | | | 
% 185.00/29.64  | | | ALPHA: (15) implies:
% 185.00/29.64  | | |   (16)  all_56_1 = e2
% 185.00/29.64  | | | 
% 185.00/29.64  | | | REF_CLOSE: (6), (13), (16) are inconsistent by sub-proof #660.
% 185.00/29.64  | | | 
% 185.00/29.64  | | Case 2:
% 185.00/29.64  | | | 
% 185.00/29.64  | | |   (17)  all_56_3 = e2 & op(e2, e2) = e2
% 185.00/29.64  | | | 
% 185.00/29.64  | | | ALPHA: (17) implies:
% 185.00/29.64  | | |   (18)  op(e2, e2) = e2
% 185.00/29.64  | | | 
% 185.00/29.64  | | | REF_CLOSE: (1), (4), (11), (18) are inconsistent by sub-proof #1586.
% 185.00/29.64  | | | 
% 185.00/29.64  | | End of split
% 185.00/29.64  | | 
% 185.00/29.64  | Case 2:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (19)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 185.00/29.64  | |           e2)
% 185.00/29.64  | | 
% 185.00/29.64  | | BETA: splitting (19) gives:
% 185.00/29.64  | | 
% 185.00/29.64  | | Case 1:
% 185.00/29.64  | | | 
% 185.00/29.64  | | |   (20)  all_56_7 = e2 & op(e1, e2) = e2
% 185.00/29.64  | | | 
% 185.00/29.64  | | | ALPHA: (20) implies:
% 185.00/29.64  | | |   (21)  op(e1, e2) = e2
% 185.00/29.64  | | | 
% 185.00/29.64  | | | REF_CLOSE: (4), (5), (8), (21) are inconsistent by sub-proof #1614.
% 185.00/29.64  | | | 
% 185.00/29.64  | | Case 2:
% 185.00/29.64  | | | 
% 185.00/29.64  | | |   (22)  all_56_13 = e2 & op(e0, e2) = e2
% 185.00/29.64  | | | 
% 185.00/29.64  | | | ALPHA: (22) implies:
% 185.00/29.64  | | |   (23)  op(e0, e2) = e2
% 185.00/29.64  | | | 
% 185.00/29.64  | | | REF_CLOSE: (3), (4), (7), (9), (10), (23) are inconsistent by sub-proof
% 185.00/29.64  | | |            #1342.
% 185.00/29.64  | | | 
% 185.00/29.64  | | End of split
% 185.00/29.64  | | 
% 185.00/29.64  | End of split
% 185.00/29.64  | 
% 185.00/29.64  End of proof
% 185.00/29.64  
% 185.00/29.64  Sub-proof #422 shows that the following formulas are inconsistent:
% 185.00/29.64  ----------------------------------------------------------------
% 185.00/29.64    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.64    (2)  op(e1, e1) = all_14_2
% 185.00/29.64    (3)  op(e1, e1) = e2
% 185.00/29.64    (4)   ~ (all_14_2 = e2)
% 185.00/29.64  
% 185.00/29.64  Begin of proof
% 185.00/29.64  | 
% 185.00/29.64  | GROUND_INST: instantiating (1) with all_14_2, e2, e1, e1, simplifying with
% 185.00/29.64  |              (2), (3) gives:
% 185.00/29.64  |   (5)  all_14_2 = e2
% 185.00/29.64  | 
% 185.00/29.64  | REDUCE: (4), (5) imply:
% 185.00/29.64  |   (6)  $false
% 185.00/29.64  | 
% 185.00/29.64  | CLOSE: (6) is inconsistent.
% 185.00/29.64  | 
% 185.00/29.64  End of proof
% 185.00/29.64  
% 185.00/29.64  Sub-proof #423 shows that the following formulas are inconsistent:
% 185.00/29.64  ----------------------------------------------------------------
% 185.00/29.64    (1)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 185.00/29.64    (2)   ~ (e2 = e0)
% 185.00/29.64    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.64    (4)  op(e3, e3) = e1
% 185.00/29.64    (5)   ~ (e2 = e1)
% 185.00/29.64    (6)  op(e2, e2) = e0
% 185.00/29.64  
% 185.00/29.64  Begin of proof
% 185.00/29.64  | 
% 185.00/29.64  | BETA: splitting (1) gives:
% 185.00/29.64  | 
% 185.00/29.64  | Case 1:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (7)  all_57_28 = e2 & op(e3, e3) = e2
% 185.00/29.64  | | 
% 185.00/29.64  | | ALPHA: (7) implies:
% 185.00/29.64  | |   (8)  op(e3, e3) = e2
% 185.00/29.64  | | 
% 185.00/29.64  | | REF_CLOSE: (3), (4), (5), (8) are inconsistent by sub-proof #1582.
% 185.00/29.64  | | 
% 185.00/29.64  | Case 2:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (9)  all_57_29 = e2 & op(e2, e2) = e2
% 185.00/29.64  | | 
% 185.00/29.64  | | ALPHA: (9) implies:
% 185.00/29.64  | |   (10)  op(e2, e2) = e2
% 185.00/29.64  | | 
% 185.00/29.64  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1586.
% 185.00/29.64  | | 
% 185.00/29.64  | End of split
% 185.00/29.64  | 
% 185.00/29.64  End of proof
% 185.00/29.64  
% 185.00/29.64  Sub-proof #424 shows that the following formulas are inconsistent:
% 185.00/29.64  ----------------------------------------------------------------
% 185.00/29.64    (1)   ~ (all_6_2 = e1)
% 185.00/29.64    (2)  all_54_15 = all_6_2
% 185.00/29.64    (3)   ~ (all_6_2 = e0)
% 185.00/29.64    (4)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 185.00/29.64    (5)   ~ (all_6_2 = e2)
% 185.00/29.64  
% 185.00/29.64  Begin of proof
% 185.00/29.64  | 
% 185.00/29.64  | BETA: splitting (4) gives:
% 185.00/29.64  | 
% 185.00/29.64  | Case 1:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (6)  all_54_15 = e2
% 185.00/29.64  | | 
% 185.00/29.64  | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #1607.
% 185.00/29.64  | | 
% 185.00/29.64  | Case 2:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (7)  all_54_15 = e1 | all_54_15 = e0
% 185.00/29.64  | | 
% 185.00/29.64  | | BETA: splitting (7) gives:
% 185.00/29.64  | | 
% 185.00/29.64  | | Case 1:
% 185.00/29.64  | | | 
% 185.00/29.64  | | |   (8)  all_54_15 = e1
% 185.00/29.64  | | | 
% 185.00/29.64  | | | REF_CLOSE: (1), (2), (8) are inconsistent by sub-proof #1606.
% 185.00/29.64  | | | 
% 185.00/29.64  | | Case 2:
% 185.00/29.64  | | | 
% 185.00/29.64  | | |   (9)  all_54_15 = e0
% 185.00/29.64  | | | 
% 185.00/29.64  | | | COMBINE_EQS: (2), (9) imply:
% 185.00/29.64  | | |   (10)  all_6_2 = e0
% 185.00/29.64  | | | 
% 185.00/29.64  | | | SIMP: (10) implies:
% 185.00/29.64  | | |   (11)  all_6_2 = e0
% 185.00/29.64  | | | 
% 185.00/29.64  | | | REDUCE: (3), (11) imply:
% 185.00/29.64  | | |   (12)  $false
% 185.00/29.64  | | | 
% 185.00/29.64  | | | CLOSE: (12) is inconsistent.
% 185.00/29.64  | | | 
% 185.00/29.64  | | End of split
% 185.00/29.64  | | 
% 185.00/29.64  | End of split
% 185.00/29.64  | 
% 185.00/29.64  End of proof
% 185.00/29.64  
% 185.00/29.64  Sub-proof #425 shows that the following formulas are inconsistent:
% 185.00/29.64  ----------------------------------------------------------------
% 185.00/29.64    (1)  op(e1, e1) = e3
% 185.00/29.64    (2)   ~ (e1 = e0)
% 185.00/29.64    (3)   ~ (all_52_9 = e0)
% 185.00/29.64    (4)   ~ (e3 = e0)
% 185.00/29.64    (5)  op(e2, e1) = all_52_9
% 185.00/29.64    (6)   ~ (e2 = e0)
% 185.00/29.64    (7)   ~ (e3 = e1)
% 185.00/29.64    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.64    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.00/29.64         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.00/29.64    (10)  all_56_4 = e3
% 185.00/29.64    (11)   ~ (e3 = e2)
% 185.00/29.64    (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.00/29.64          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.00/29.64    (13)   ~ (e2 = e1)
% 185.00/29.64    (14)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.00/29.64          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.00/29.64  
% 185.00/29.64  Begin of proof
% 185.00/29.64  | 
% 185.00/29.64  | BETA: splitting (9) gives:
% 185.00/29.64  | 
% 185.00/29.64  | Case 1:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (15)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 185.00/29.64  | |           e0)
% 185.00/29.64  | | 
% 185.00/29.64  | | BETA: splitting (15) gives:
% 185.00/29.64  | | 
% 185.00/29.64  | | Case 1:
% 185.00/29.64  | | | 
% 185.00/29.64  | | |   (16)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.64  | | | 
% 185.00/29.64  | | | REF_CLOSE: (4), (10), (16) are inconsistent by sub-proof #591.
% 185.00/29.64  | | | 
% 185.00/29.64  | | Case 2:
% 185.00/29.64  | | | 
% 185.00/29.64  | | |   (17)  all_56_5 = e0 & op(e2, e1) = e0
% 185.00/29.64  | | | 
% 185.00/29.64  | | | REF_CLOSE: (3), (5), (8), (17) are inconsistent by sub-proof #1476.
% 185.00/29.64  | | | 
% 185.00/29.64  | | End of split
% 185.00/29.64  | | 
% 185.00/29.64  | Case 2:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (18)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.00/29.64  | |           e0)
% 185.00/29.64  | | 
% 185.00/29.64  | | BETA: splitting (18) gives:
% 185.00/29.64  | | 
% 185.00/29.64  | | Case 1:
% 185.00/29.64  | | | 
% 185.00/29.64  | | |   (19)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.64  | | | 
% 185.00/29.64  | | | ALPHA: (19) implies:
% 185.00/29.64  | | |   (20)  op(e1, e1) = e0
% 185.00/29.64  | | | 
% 185.00/29.64  | | | REF_CLOSE: (1), (4), (8), (20) are inconsistent by sub-proof #1252.
% 185.00/29.64  | | | 
% 185.00/29.64  | | Case 2:
% 185.00/29.64  | | | 
% 185.00/29.64  | | |   (21)  all_56_14 = e0 & op(e0, e1) = e0
% 185.00/29.64  | | | 
% 185.00/29.64  | | | ALPHA: (21) implies:
% 185.00/29.64  | | |   (22)  all_56_14 = e0
% 185.00/29.64  | | | 
% 185.00/29.64  | | | BETA: splitting (14) gives:
% 185.00/29.64  | | | 
% 185.00/29.64  | | | Case 1:
% 185.00/29.64  | | | | 
% 185.00/29.64  | | | |   (23)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1)
% 185.00/29.64  | | | |           = e1)
% 185.00/29.64  | | | | 
% 185.00/29.64  | | | | BETA: splitting (23) gives:
% 185.00/29.64  | | | | 
% 185.00/29.64  | | | | Case 1:
% 185.00/29.64  | | | | | 
% 185.00/29.64  | | | | |   (24)  all_56_4 = e1 & op(e3, e1) = e1
% 185.00/29.64  | | | | | 
% 185.00/29.64  | | | | | REF_CLOSE: (7), (10), (24) are inconsistent by sub-proof #731.
% 185.00/29.64  | | | | | 
% 185.00/29.64  | | | | Case 2:
% 185.00/29.64  | | | | | 
% 185.00/29.64  | | | | |   (25)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.64  | | | | | 
% 185.00/29.64  | | | | | ALPHA: (25) implies:
% 185.00/29.64  | | | | |   (26)  op(e2, e1) = e1
% 185.00/29.64  | | | | | 
% 185.00/29.64  | | | | | BETA: splitting (12) gives:
% 185.00/29.64  | | | | | 
% 185.00/29.64  | | | | | Case 1:
% 185.00/29.64  | | | | | | 
% 185.00/29.64  | | | | | |   (27)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2,
% 185.00/29.64  | | | | | |             e1) = e2)
% 185.00/29.64  | | | | | | 
% 185.00/29.64  | | | | | | BETA: splitting (27) gives:
% 185.00/29.64  | | | | | | 
% 185.00/29.64  | | | | | | Case 1:
% 185.00/29.64  | | | | | | | 
% 185.00/29.64  | | | | | | |   (28)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.64  | | | | | | | 
% 185.00/29.64  | | | | | | | REF_CLOSE: (10), (11), (28) are inconsistent by sub-proof #733.
% 185.00/29.64  | | | | | | | 
% 185.00/29.64  | | | | | | Case 2:
% 185.00/29.64  | | | | | | | 
% 185.00/29.64  | | | | | | |   (29)  all_56_5 = e2 & op(e2, e1) = e2
% 185.00/29.64  | | | | | | | 
% 185.00/29.64  | | | | | | | ALPHA: (29) implies:
% 185.00/29.64  | | | | | | |   (30)  op(e2, e1) = e2
% 185.00/29.64  | | | | | | | 
% 185.00/29.64  | | | | | | | REF_CLOSE: (8), (13), (26), (30) are inconsistent by sub-proof
% 185.00/29.64  | | | | | | |            #1148.
% 185.00/29.64  | | | | | | | 
% 185.00/29.64  | | | | | | End of split
% 185.00/29.64  | | | | | | 
% 185.00/29.64  | | | | | Case 2:
% 185.00/29.64  | | | | | | 
% 185.00/29.64  | | | | | |   (31)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0,
% 185.00/29.64  | | | | | |             e1) = e2)
% 185.00/29.64  | | | | | | 
% 185.00/29.64  | | | | | | BETA: splitting (31) gives:
% 185.00/29.64  | | | | | | 
% 185.00/29.64  | | | | | | Case 1:
% 185.00/29.64  | | | | | | | 
% 185.00/29.64  | | | | | | |   (32)  all_56_8 = e2 & op(e1, e1) = e2
% 185.00/29.64  | | | | | | | 
% 185.00/29.64  | | | | | | | ALPHA: (32) implies:
% 185.00/29.64  | | | | | | |   (33)  op(e1, e1) = e2
% 185.00/29.64  | | | | | | | 
% 185.00/29.64  | | | | | | | REF_CLOSE: (1), (8), (11), (33) are inconsistent by sub-proof
% 185.00/29.64  | | | | | | |            #1164.
% 185.00/29.64  | | | | | | | 
% 185.00/29.64  | | | | | | Case 2:
% 185.00/29.64  | | | | | | | 
% 185.00/29.64  | | | | | | |   (34)  all_56_14 = e2 & op(e0, e1) = e2
% 185.00/29.64  | | | | | | | 
% 185.00/29.64  | | | | | | | REF_CLOSE: (6), (22), (34) are inconsistent by sub-proof #1472.
% 185.00/29.64  | | | | | | | 
% 185.00/29.64  | | | | | | End of split
% 185.00/29.64  | | | | | | 
% 185.00/29.64  | | | | | End of split
% 185.00/29.64  | | | | | 
% 185.00/29.64  | | | | End of split
% 185.00/29.64  | | | | 
% 185.00/29.64  | | | Case 2:
% 185.00/29.64  | | | | 
% 185.00/29.64  | | | |   (35)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1)
% 185.00/29.64  | | | |           = e1)
% 185.00/29.64  | | | | 
% 185.00/29.64  | | | | REF_CLOSE: (1), (2), (7), (8), (22), (35) are inconsistent by sub-proof
% 185.00/29.64  | | | |            #426.
% 185.00/29.64  | | | | 
% 185.00/29.64  | | | End of split
% 185.00/29.64  | | | 
% 185.00/29.64  | | End of split
% 185.00/29.64  | | 
% 185.00/29.64  | End of split
% 185.00/29.64  | 
% 185.00/29.64  End of proof
% 185.00/29.64  
% 185.00/29.64  Sub-proof #426 shows that the following formulas are inconsistent:
% 185.00/29.64  ----------------------------------------------------------------
% 185.00/29.64    (1)  op(e1, e1) = e3
% 185.00/29.64    (2)   ~ (e1 = e0)
% 185.00/29.64    (3)   ~ (e3 = e1)
% 185.00/29.64    (4)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.00/29.64    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.64    (6)  all_56_14 = e0
% 185.00/29.64  
% 185.00/29.64  Begin of proof
% 185.00/29.64  | 
% 185.00/29.64  | BETA: splitting (4) gives:
% 185.00/29.64  | 
% 185.00/29.64  | Case 1:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 185.00/29.64  | | 
% 185.00/29.64  | | ALPHA: (7) implies:
% 185.00/29.64  | |   (8)  op(e1, e1) = e1
% 185.00/29.64  | | 
% 185.00/29.64  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1541.
% 185.00/29.64  | | 
% 185.00/29.64  | Case 2:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (9)  all_56_14 = e1 & op(e0, e1) = e1
% 185.00/29.64  | | 
% 185.00/29.64  | | ALPHA: (9) implies:
% 185.00/29.64  | |   (10)  all_56_14 = e1
% 185.00/29.64  | | 
% 185.00/29.64  | | REF_CLOSE: (2), (6), (10) are inconsistent by sub-proof #913.
% 185.00/29.64  | | 
% 185.00/29.64  | End of split
% 185.00/29.64  | 
% 185.00/29.64  End of proof
% 185.00/29.64  
% 185.00/29.64  Sub-proof #427 shows that the following formulas are inconsistent:
% 185.00/29.64  ----------------------------------------------------------------
% 185.00/29.64    (1)   ~ (all_4_2 = e0)
% 185.00/29.64    (2)   ~ (all_4_2 = e3)
% 185.00/29.64    (3)   ~ (e1 = e0)
% 185.00/29.64    (4)  op(e3, e1) = e3
% 185.00/29.64    (5)  all_54_0 = all_4_2
% 185.00/29.64    (6)   ~ (e3 = e0)
% 185.00/29.64    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.00/29.64         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.64    (8)   ~ (e2 = e0)
% 185.00/29.64    (9)   ~ (e3 = e1)
% 185.00/29.64    (10)  all_56_9 = e0
% 185.00/29.64    (11)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.00/29.64    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.64            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.64    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.00/29.64          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.00/29.64    (14)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.00/29.64          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.00/29.64    (15)   ~ (e3 = e2)
% 185.00/29.64    (16)  op(e3, e1) = all_52_8
% 185.00/29.64    (17)  op(e3, e3) = all_4_2
% 185.00/29.64    (18)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.00/29.64    (19)  op(e3, e2) = all_52_4
% 185.00/29.64    (20)   ~ (all_52_4 = e0)
% 185.00/29.64    (21)   ~ (e2 = e1)
% 185.00/29.64    (22)   ~ (all_4_2 = e1)
% 185.00/29.64  
% 185.00/29.64  Begin of proof
% 185.00/29.64  | 
% 185.00/29.64  | BETA: splitting (18) gives:
% 185.00/29.64  | 
% 185.00/29.64  | Case 1:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (23)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.64  | | 
% 185.00/29.64  | | REF_CLOSE: (1), (2), (3), (5), (6), (9), (10), (11), (12), (13), (14), (15),
% 185.00/29.64  | |            (17), (21), (22), (23) are inconsistent by sub-proof #436.
% 185.00/29.64  | | 
% 185.00/29.64  | Case 2:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (24)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.64  | | 
% 185.00/29.64  | | ALPHA: (24) implies:
% 185.00/29.64  | |   (25)  all_56_9 = e2
% 185.00/29.64  | | 
% 185.00/29.64  | | REF_CLOSE: (1), (4), (6), (7), (8), (12), (16), (17), (19), (20), (25) are
% 185.00/29.64  | |            inconsistent by sub-proof #899.
% 185.00/29.64  | | 
% 185.00/29.64  | End of split
% 185.00/29.64  | 
% 185.00/29.64  End of proof
% 185.00/29.64  
% 185.00/29.64  Sub-proof #428 shows that the following formulas are inconsistent:
% 185.00/29.64  ----------------------------------------------------------------
% 185.00/29.64    (1)  all_56_2 = e1
% 185.00/29.64    (2)  all_56_10 = e2
% 185.00/29.64    (3)   ~ (e3 = e0)
% 185.00/29.64    (4)  op(e2, e1) = e1
% 185.00/29.64    (5)   ~ (e3 = e1)
% 185.00/29.64    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.64    (7)   ~ (e3 = e2)
% 185.00/29.64    (8)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.00/29.64         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.00/29.64    (9)  op(e2, e2) = e0
% 185.00/29.64  
% 185.00/29.64  Begin of proof
% 185.00/29.64  | 
% 185.00/29.64  | BETA: splitting (8) gives:
% 185.00/29.64  | 
% 185.00/29.64  | Case 1:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (10)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 185.00/29.64  | |           e3)
% 185.00/29.64  | | 
% 185.00/29.64  | | REF_CLOSE: (1), (3), (5), (6), (9), (10) are inconsistent by sub-proof #486.
% 185.00/29.64  | | 
% 185.00/29.64  | Case 2:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (11)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.00/29.64  | |           e3)
% 185.00/29.64  | | 
% 185.00/29.64  | | REF_CLOSE: (2), (4), (5), (6), (7), (11) are inconsistent by sub-proof #429.
% 185.00/29.64  | | 
% 185.00/29.64  | End of split
% 185.00/29.64  | 
% 185.00/29.64  End of proof
% 185.00/29.64  
% 185.00/29.64  Sub-proof #429 shows that the following formulas are inconsistent:
% 185.00/29.64  ----------------------------------------------------------------
% 185.00/29.64    (1)  all_56_10 = e2
% 185.00/29.64    (2)  op(e2, e1) = e1
% 185.00/29.64    (3)   ~ (e3 = e1)
% 185.00/29.64    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.64           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.64    (5)   ~ (e3 = e2)
% 185.00/29.64    (6)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.00/29.64  
% 185.00/29.64  Begin of proof
% 185.00/29.64  | 
% 185.00/29.64  | BETA: splitting (6) gives:
% 185.00/29.64  | 
% 185.00/29.64  | Case 1:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (7)  all_56_5 = e3 & op(e2, e1) = e3
% 185.00/29.64  | | 
% 185.00/29.64  | | ALPHA: (7) implies:
% 185.00/29.64  | |   (8)  op(e2, e1) = e3
% 185.00/29.64  | | 
% 185.00/29.64  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1456.
% 185.00/29.64  | | 
% 185.00/29.64  | Case 2:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (9)  all_56_10 = e3 & op(e2, e0) = e3
% 185.00/29.64  | | 
% 185.00/29.64  | | ALPHA: (9) implies:
% 185.00/29.64  | |   (10)  all_56_10 = e3
% 185.00/29.64  | | 
% 185.00/29.64  | | REF_CLOSE: (1), (5), (10) are inconsistent by sub-proof #958.
% 185.00/29.64  | | 
% 185.00/29.64  | End of split
% 185.00/29.64  | 
% 185.00/29.64  End of proof
% 185.00/29.64  
% 185.00/29.64  Sub-proof #430 shows that the following formulas are inconsistent:
% 185.00/29.64  ----------------------------------------------------------------
% 185.00/29.64    (1)   ~ (all_4_2 = e0)
% 185.00/29.64    (2)   ~ (all_4_2 = e3)
% 185.00/29.64    (3)   ~ (e1 = e0)
% 185.00/29.64    (4)  all_54_0 = all_4_2
% 185.00/29.64    (5)   ~ (e3 = e0)
% 185.00/29.64    (6)   ~ (e2 = e0)
% 185.00/29.64    (7)   ~ (e3 = e1)
% 185.00/29.64    (8)  all_56_9 = e0
% 185.00/29.64    (9)  all_56_14 = e2
% 185.00/29.64    (10)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.00/29.64    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.64            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.64    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.00/29.64          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.00/29.64    (13)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.00/29.64    (14)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.00/29.64          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.00/29.64    (15)   ~ (e3 = e2)
% 185.00/29.64    (16)  all_56_10 = e1
% 185.00/29.64    (17)  op(e3, e3) = all_4_2
% 185.00/29.64    (18)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.00/29.64          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.00/29.64    (19)  op(e1, e1) = e0
% 185.00/29.64    (20)  op(e2, e1) = e3
% 185.00/29.64    (21)   ~ (e2 = e1)
% 185.00/29.64    (22)   ~ (all_4_2 = e1)
% 185.00/29.64  
% 185.00/29.64  Begin of proof
% 185.00/29.64  | 
% 185.00/29.64  | BETA: splitting (13) gives:
% 185.00/29.64  | 
% 185.00/29.64  | Case 1:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (23)  all_56_5 = e2 & op(e2, e1) = e2
% 185.00/29.64  | | 
% 185.00/29.64  | | ALPHA: (23) implies:
% 185.00/29.64  | |   (24)  op(e2, e1) = e2
% 185.00/29.64  | | 
% 185.00/29.64  | | REF_CLOSE: (11), (15), (20), (24) are inconsistent by sub-proof #1297.
% 185.00/29.64  | | 
% 185.00/29.64  | Case 2:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (25)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.64  | | 
% 185.00/29.64  | | ALPHA: (25) implies:
% 185.00/29.64  | |   (26)  all_56_10 = e2
% 185.00/29.64  | | 
% 185.00/29.64  | | COMBINE_EQS: (16), (26) imply:
% 185.00/29.64  | |   (27)  e2 = e1
% 185.00/29.64  | | 
% 185.00/29.64  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.00/29.64  | |            (14), (15), (17), (18), (19), (20), (21), (22), (27) are
% 185.00/29.64  | |            inconsistent by sub-proof #433.
% 185.00/29.64  | | 
% 185.00/29.64  | End of split
% 185.00/29.64  | 
% 185.00/29.64  End of proof
% 185.00/29.64  
% 185.00/29.64  Sub-proof #431 shows that the following formulas are inconsistent:
% 185.00/29.64  ----------------------------------------------------------------
% 185.00/29.64    (1)   ~ (all_4_2 = e0)
% 185.00/29.64    (2)  op(e0, e2) = all_12_1
% 185.00/29.64    (3)   ~ (e1 = e0)
% 185.00/29.64    (4)   ~ (all_12_1 = e0)
% 185.00/29.64    (5)  all_56_2 = e2
% 185.00/29.64    (6)   ~ (e3 = e0)
% 185.00/29.64    (7)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.00/29.64         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.00/29.64    (8)   ~ (e2 = e0)
% 185.00/29.64    (9)   ~ (e3 = e1)
% 185.00/29.64    (10)   ~ (all_52_4 = all_52_7)
% 185.00/29.64    (11)   ~ (all_12_1 = e3)
% 185.00/29.64    (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.64          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.64    (13)  op(e0, e3) = all_52_3
% 185.00/29.64    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.64            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.64    (15)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.00/29.64    (16)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.00/29.64          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.00/29.64    (17)   ~ (e3 = e2)
% 185.00/29.64    (18)  all_56_10 = e1
% 185.00/29.64    (19)  all_54_13 = all_12_1
% 185.00/29.64    (20)  op(e3, e3) = all_4_2
% 185.00/29.64    (21)   ~ (all_12_1 = e1)
% 185.00/29.64    (22)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.00/29.64          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.00/29.64    (23)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 185.00/29.64    (24)  op(e3, e2) = all_52_4
% 185.00/29.64    (25)   ~ (e2 = e1)
% 185.00/29.64    (26)  op(e0, e2) = all_52_7
% 185.00/29.64    (27)  op(e2, e2) = e0
% 185.00/29.64    (28)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.00/29.64          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.00/29.64  
% 185.00/29.64  Begin of proof
% 185.00/29.64  | 
% 185.00/29.64  | BETA: splitting (23) gives:
% 185.00/29.64  | 
% 185.00/29.64  | Case 1:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (29)  all_56_0 = e2 & op(e3, e3) = e2
% 185.00/29.64  | | 
% 185.00/29.64  | | ALPHA: (29) implies:
% 185.00/29.64  | |   (30)  op(e3, e3) = e2
% 185.00/29.64  | | 
% 185.00/29.64  | | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (12), (13), (14), (16), (17),
% 185.00/29.64  | |            (18), (20), (22), (25), (27), (28), (30) are inconsistent by
% 185.00/29.64  | |            sub-proof #475.
% 185.00/29.64  | | 
% 185.00/29.64  | Case 2:
% 185.00/29.64  | | 
% 185.00/29.64  | |   (31)  all_56_1 = e2 & op(e3, e2) = e2
% 185.00/29.64  | | 
% 185.00/29.64  | | ALPHA: (31) implies:
% 185.00/29.65  | |   (32)  op(e3, e2) = e2
% 185.00/29.65  | | 
% 185.00/29.65  | | REF_CLOSE: (2), (4), (10), (11), (14), (15), (19), (21), (24), (26), (32)
% 185.00/29.65  | |            are inconsistent by sub-proof #533.
% 185.00/29.65  | | 
% 185.00/29.65  | End of split
% 185.00/29.65  | 
% 185.00/29.65  End of proof
% 185.00/29.65  
% 185.00/29.65  Sub-proof #432 shows that the following formulas are inconsistent:
% 185.00/29.65  ----------------------------------------------------------------
% 185.00/29.65    (1)   ~ (e1 = e0)
% 185.00/29.65    (2)   ~ (e3 = e0)
% 185.00/29.65    (3)   ~ (e2 = e0)
% 185.00/29.65    (4)   ~ (e3 = e1)
% 185.00/29.65    (5)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.00/29.65    (6)  all_56_14 = e2
% 185.00/29.65    (7)   ~ (all_52_7 = e0)
% 185.00/29.65    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.65    (9)  op(e0, e0) = e3
% 185.00/29.65    (10)  all_56_6 = e3
% 185.00/29.65    (11)  op(e0, e2) = all_52_7
% 185.00/29.65    (12)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.65              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.00/29.65                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.00/29.65                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.00/29.65  
% 185.00/29.65  Begin of proof
% 185.00/29.65  | 
% 185.00/29.65  | BETA: splitting (5) gives:
% 185.00/29.65  | 
% 185.00/29.65  | Case 1:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (13)  all_56_6 = e1 & op(e1, e3) = e1
% 185.00/29.65  | | 
% 185.00/29.65  | | REF_CLOSE: (4), (10), (13) are inconsistent by sub-proof #1227.
% 185.00/29.65  | | 
% 185.00/29.65  | Case 2:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (14)  all_56_12 = e1 & op(e0, e3) = e1
% 185.00/29.65  | | 
% 185.00/29.65  | | ALPHA: (14) implies:
% 185.00/29.65  | |   (15)  all_56_12 = e1
% 185.00/29.65  | | 
% 185.00/29.65  | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (11), (12), (15) are
% 185.00/29.65  | |            inconsistent by sub-proof #1274.
% 185.00/29.65  | | 
% 185.00/29.65  | End of split
% 185.00/29.65  | 
% 185.00/29.65  End of proof
% 185.00/29.65  
% 185.00/29.65  Sub-proof #433 shows that the following formulas are inconsistent:
% 185.00/29.65  ----------------------------------------------------------------
% 185.00/29.65    (1)   ~ (all_4_2 = e0)
% 185.00/29.65    (2)   ~ (all_4_2 = e3)
% 185.00/29.65    (3)   ~ (e1 = e0)
% 185.00/29.65    (4)  e2 = e1
% 185.00/29.65    (5)  all_54_0 = all_4_2
% 185.00/29.65    (6)   ~ (e3 = e0)
% 185.00/29.65    (7)   ~ (e2 = e0)
% 185.00/29.65    (8)   ~ (e3 = e1)
% 185.00/29.65    (9)  all_56_9 = e0
% 185.00/29.65    (10)  all_56_14 = e2
% 185.00/29.65    (11)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.00/29.65    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.65            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.65    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.00/29.65          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.00/29.65    (14)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.00/29.65          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.00/29.65    (15)   ~ (e3 = e2)
% 185.00/29.65    (16)  op(e3, e3) = all_4_2
% 185.00/29.65    (17)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.00/29.65          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.00/29.65    (18)  op(e1, e1) = e0
% 185.00/29.65    (19)  op(e2, e1) = e3
% 185.00/29.65    (20)   ~ (e2 = e1)
% 185.00/29.65    (21)   ~ (all_4_2 = e1)
% 185.00/29.65  
% 185.00/29.65  Begin of proof
% 185.00/29.65  | 
% 185.00/29.65  | SIMP: (4) implies:
% 185.00/29.65  |   (22)  e2 = e1
% 185.00/29.65  | 
% 185.00/29.65  | COMBINE_EQS: (10), (22) imply:
% 185.00/29.65  |   (23)  all_56_14 = e1
% 185.00/29.65  | 
% 185.00/29.65  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 185.00/29.65  |            (15), (16), (17), (18), (19), (20), (21), (23) are inconsistent by
% 185.00/29.65  |            sub-proof #434.
% 185.00/29.65  | 
% 185.00/29.65  End of proof
% 185.00/29.65  
% 185.00/29.65  Sub-proof #434 shows that the following formulas are inconsistent:
% 185.00/29.65  ----------------------------------------------------------------
% 185.00/29.65    (1)   ~ (all_4_2 = e0)
% 185.00/29.65    (2)   ~ (all_4_2 = e3)
% 185.00/29.65    (3)   ~ (e1 = e0)
% 185.00/29.65    (4)  all_54_0 = all_4_2
% 185.00/29.65    (5)   ~ (e3 = e0)
% 185.00/29.65    (6)   ~ (e2 = e0)
% 185.00/29.65    (7)   ~ (e3 = e1)
% 185.00/29.65    (8)  all_56_9 = e0
% 185.00/29.65    (9)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.00/29.65    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.65            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.65    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.00/29.65          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.00/29.65    (12)  all_56_14 = e1
% 185.00/29.65    (13)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.00/29.65          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.00/29.65    (14)   ~ (e3 = e2)
% 185.00/29.65    (15)  op(e3, e3) = all_4_2
% 185.00/29.65    (16)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.00/29.65          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.00/29.65    (17)  op(e1, e1) = e0
% 185.00/29.65    (18)  op(e2, e1) = e3
% 185.00/29.65    (19)   ~ (e2 = e1)
% 185.00/29.65    (20)   ~ (all_4_2 = e1)
% 185.00/29.65  
% 185.00/29.65  Begin of proof
% 185.00/29.65  | 
% 185.00/29.65  | BETA: splitting (16) gives:
% 185.00/29.65  | 
% 185.00/29.65  | Case 1:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (21)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 185.00/29.65  | |           e2)
% 185.00/29.65  | | 
% 185.00/29.65  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (13), (14),
% 185.00/29.65  | |            (15), (18), (19), (20), (21) are inconsistent by sub-proof #435.
% 185.00/29.65  | | 
% 185.00/29.65  | Case 2:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (22)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 185.00/29.65  | |           e2)
% 185.00/29.65  | | 
% 185.00/29.65  | | BETA: splitting (22) gives:
% 185.00/29.65  | | 
% 185.00/29.65  | | Case 1:
% 185.00/29.65  | | | 
% 185.00/29.65  | | |   (23)  all_56_8 = e2 & op(e1, e1) = e2
% 185.00/29.65  | | | 
% 185.00/29.65  | | | ALPHA: (23) implies:
% 185.00/29.65  | | |   (24)  op(e1, e1) = e2
% 185.00/29.65  | | | 
% 185.00/29.65  | | | REF_CLOSE: (6), (10), (17), (24) are inconsistent by sub-proof #1230.
% 185.00/29.65  | | | 
% 185.00/29.65  | | Case 2:
% 185.00/29.65  | | | 
% 185.00/29.65  | | |   (25)  all_56_14 = e2 & op(e0, e1) = e2
% 185.00/29.65  | | | 
% 185.00/29.65  | | | REF_CLOSE: (12), (19), (25) are inconsistent by sub-proof #1133.
% 185.00/29.65  | | | 
% 185.00/29.65  | | End of split
% 185.00/29.65  | | 
% 185.00/29.65  | End of split
% 185.00/29.65  | 
% 185.00/29.65  End of proof
% 185.00/29.65  
% 185.00/29.65  Sub-proof #435 shows that the following formulas are inconsistent:
% 185.00/29.65  ----------------------------------------------------------------
% 185.00/29.65    (1)   ~ (all_4_2 = e0)
% 185.00/29.65    (2)   ~ (all_4_2 = e3)
% 185.00/29.65    (3)   ~ (e1 = e0)
% 185.00/29.65    (4)  all_54_0 = all_4_2
% 185.00/29.65    (5)   ~ (e3 = e0)
% 185.00/29.65    (6)   ~ (e3 = e1)
% 185.00/29.65    (7)  all_56_9 = e0
% 185.00/29.65    (8)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.00/29.65    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.65    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.00/29.65          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.00/29.65    (11)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2)
% 185.00/29.65    (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.00/29.65          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.00/29.65    (13)   ~ (e3 = e2)
% 185.00/29.65    (14)  op(e3, e3) = all_4_2
% 185.00/29.65    (15)  op(e2, e1) = e3
% 185.00/29.65    (16)   ~ (e2 = e1)
% 185.00/29.65    (17)   ~ (all_4_2 = e1)
% 185.00/29.65  
% 185.00/29.65  Begin of proof
% 185.00/29.65  | 
% 185.00/29.65  | BETA: splitting (11) gives:
% 185.00/29.65  | 
% 185.00/29.65  | Case 1:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (18)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.65  | | 
% 185.00/29.65  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 185.00/29.65  | |            (14), (16), (17), (18) are inconsistent by sub-proof #436.
% 185.00/29.65  | | 
% 185.00/29.65  | Case 2:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (19)  all_56_5 = e2 & op(e2, e1) = e2
% 185.00/29.65  | | 
% 185.00/29.65  | | ALPHA: (19) implies:
% 185.00/29.65  | |   (20)  op(e2, e1) = e2
% 185.00/29.65  | | 
% 185.00/29.65  | | REF_CLOSE: (9), (13), (15), (20) are inconsistent by sub-proof #1297.
% 185.00/29.65  | | 
% 185.00/29.65  | End of split
% 185.00/29.65  | 
% 185.00/29.65  End of proof
% 185.00/29.65  
% 185.00/29.65  Sub-proof #436 shows that the following formulas are inconsistent:
% 185.00/29.65  ----------------------------------------------------------------
% 185.00/29.65    (1)   ~ (all_4_2 = e0)
% 185.00/29.65    (2)   ~ (all_4_2 = e3)
% 185.00/29.65    (3)   ~ (e1 = e0)
% 185.00/29.65    (4)  all_54_0 = all_4_2
% 185.00/29.65    (5)   ~ (e3 = e0)
% 185.00/29.65    (6)   ~ (e3 = e1)
% 185.00/29.65    (7)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.65    (8)  all_56_9 = e0
% 185.00/29.65    (9)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.00/29.65    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.65            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.65    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.00/29.65          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.00/29.65    (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.00/29.65          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.00/29.65    (13)   ~ (e3 = e2)
% 185.00/29.65    (14)  op(e3, e3) = all_4_2
% 185.00/29.65    (15)   ~ (e2 = e1)
% 185.00/29.65    (16)   ~ (all_4_2 = e1)
% 185.00/29.65  
% 185.00/29.65  Begin of proof
% 185.00/29.65  | 
% 185.00/29.65  | ALPHA: (7) implies:
% 185.00/29.65  |   (17)  all_56_4 = e2
% 185.00/29.65  | 
% 185.00/29.65  | BETA: splitting (12) gives:
% 185.00/29.65  | 
% 185.00/29.65  | Case 1:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (18)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 185.00/29.65  | |           e3)
% 185.00/29.65  | | 
% 185.00/29.65  | | BETA: splitting (18) gives:
% 185.00/29.65  | | 
% 185.00/29.65  | | Case 1:
% 185.00/29.65  | | | 
% 185.00/29.65  | | |   (19)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.65  | | | 
% 185.00/29.65  | | | REF_CLOSE: (1), (2), (4), (9), (10), (14), (16), (19) are inconsistent by
% 185.00/29.65  | | |            sub-proof #437.
% 185.00/29.65  | | | 
% 185.00/29.65  | | Case 2:
% 185.00/29.65  | | | 
% 185.00/29.65  | | |   (20)  all_56_1 = e3 & op(e3, e2) = e3
% 185.00/29.65  | | | 
% 185.00/29.65  | | | ALPHA: (20) implies:
% 185.00/29.65  | | |   (21)  all_56_1 = e3
% 185.00/29.65  | | | 
% 185.00/29.65  | | | REF_CLOSE: (3), (6), (8), (10), (11), (14), (15), (16), (17), (21) are
% 185.00/29.65  | | |            inconsistent by sub-proof #1125.
% 185.00/29.65  | | | 
% 185.00/29.65  | | End of split
% 185.00/29.65  | | 
% 185.00/29.65  | Case 2:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (22)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 185.00/29.65  | |           e3)
% 185.00/29.65  | | 
% 185.00/29.65  | | BETA: splitting (22) gives:
% 185.00/29.65  | | 
% 185.00/29.65  | | Case 1:
% 185.00/29.65  | | | 
% 185.00/29.65  | | |   (23)  all_56_4 = e3 & op(e3, e1) = e3
% 185.00/29.65  | | | 
% 185.00/29.65  | | | ALPHA: (23) implies:
% 185.00/29.65  | | |   (24)  all_56_4 = e3
% 185.00/29.65  | | | 
% 185.00/29.65  | | | REF_CLOSE: (13), (17), (24) are inconsistent by sub-proof #1285.
% 185.00/29.65  | | | 
% 185.00/29.65  | | Case 2:
% 185.00/29.65  | | | 
% 185.00/29.65  | | |   (25)  all_56_9 = e3 & op(e3, e0) = e3
% 185.00/29.65  | | | 
% 185.00/29.65  | | | ALPHA: (25) implies:
% 185.00/29.65  | | |   (26)  all_56_9 = e3
% 185.00/29.65  | | | 
% 185.00/29.65  | | | REF_CLOSE: (5), (8), (26) are inconsistent by sub-proof #510.
% 185.00/29.65  | | | 
% 185.00/29.65  | | End of split
% 185.00/29.65  | | 
% 185.00/29.65  | End of split
% 185.00/29.65  | 
% 185.00/29.65  End of proof
% 185.00/29.65  
% 185.00/29.65  Sub-proof #437 shows that the following formulas are inconsistent:
% 185.00/29.65  ----------------------------------------------------------------
% 185.00/29.65    (1)   ~ (all_4_2 = e0)
% 185.00/29.65    (2)   ~ (all_4_2 = e3)
% 185.00/29.65    (3)  all_54_0 = all_4_2
% 185.00/29.65    (4)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.00/29.65    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.65    (6)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.65    (7)  op(e3, e3) = all_4_2
% 185.00/29.65    (8)   ~ (all_4_2 = e1)
% 185.00/29.65  
% 185.00/29.65  Begin of proof
% 185.00/29.65  | 
% 185.00/29.65  | ALPHA: (6) implies:
% 185.00/29.65  |   (9)  op(e3, e3) = e3
% 185.00/29.65  | 
% 185.00/29.65  | BETA: splitting (4) gives:
% 185.00/29.65  | 
% 185.00/29.65  | Case 1:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (10)  all_54_0 = e3
% 185.00/29.65  | | 
% 185.00/29.65  | | COMBINE_EQS: (3), (10) imply:
% 185.00/29.65  | |   (11)  all_4_2 = e3
% 185.00/29.65  | | 
% 185.00/29.65  | | REDUCE: (2), (11) imply:
% 185.00/29.65  | |   (12)  $false
% 185.00/29.65  | | 
% 185.00/29.65  | | CLOSE: (12) is inconsistent.
% 185.00/29.65  | | 
% 185.00/29.65  | Case 2:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (13)   ~ (all_54_0 = e3)
% 185.00/29.65  | |   (14)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.00/29.65  | | 
% 185.00/29.65  | | BETA: splitting (14) gives:
% 185.00/29.65  | | 
% 185.00/29.65  | | Case 1:
% 185.00/29.65  | | | 
% 185.00/29.65  | | |   (15)  all_54_0 = e2
% 185.00/29.65  | | | 
% 185.00/29.65  | | | COMBINE_EQS: (3), (15) imply:
% 185.00/29.65  | | |   (16)  all_4_2 = e2
% 185.00/29.65  | | | 
% 185.00/29.65  | | | REDUCE: (2), (16) imply:
% 185.00/29.65  | | |   (17)   ~ (e3 = e2)
% 185.00/29.65  | | | 
% 185.00/29.65  | | | SIMP: (17) implies:
% 185.00/29.65  | | |   (18)   ~ (e3 = e2)
% 185.00/29.65  | | | 
% 185.00/29.65  | | | REDUCE: (7), (16) imply:
% 185.00/29.65  | | |   (19)  op(e3, e3) = e2
% 185.00/29.65  | | | 
% 185.00/29.65  | | | REF_CLOSE: (5), (9), (18), (19) are inconsistent by sub-proof #1594.
% 185.00/29.65  | | | 
% 185.00/29.65  | | Case 2:
% 185.00/29.65  | | | 
% 185.00/29.65  | | |   (20)  all_54_0 = e1 | all_54_0 = e0
% 185.00/29.65  | | | 
% 185.00/29.65  | | | REF_CLOSE: (1), (3), (8), (20) are inconsistent by sub-proof #1355.
% 185.00/29.65  | | | 
% 185.00/29.65  | | End of split
% 185.00/29.65  | | 
% 185.00/29.65  | End of split
% 185.00/29.65  | 
% 185.00/29.65  End of proof
% 185.00/29.65  
% 185.00/29.65  Sub-proof #438 shows that the following formulas are inconsistent:
% 185.00/29.65  ----------------------------------------------------------------
% 185.00/29.65    (1)  op(e0, e0) = all_6_2
% 185.00/29.65    (2)   ~ (all_52_8 = e3)
% 185.00/29.65    (3)  op(e0, e2) = all_12_1
% 185.00/29.65    (4)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 185.00/29.65             e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.00/29.65           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.00/29.65             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.00/29.65           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 185.00/29.65           $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 185.00/29.65           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3
% 185.00/29.65           & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 185.00/29.65           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 185.00/29.65           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.00/29.65             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 185.00/29.65             e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.00/29.65           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.00/29.65         (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 185.00/29.65             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.00/29.65           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.00/29.65             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.00/29.65           all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 185.00/29.65           & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.00/29.65           $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2
% 185.00/29.65           & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.00/29.65           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.00/29.65             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.00/29.65             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 185.00/29.65           op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 185.00/29.65           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.00/29.65           $i(all_57_29))
% 185.00/29.65    (5)  all_57_17 = all_52_8
% 185.00/29.65    (6)   ~ (all_12_1 = e0)
% 185.00/29.65    (7)   ~ (e3 = e0)
% 185.00/29.65    (8)   ~ (e2 = e0)
% 185.00/29.65    (9)   ~ (all_52_4 = all_52_7)
% 185.00/29.65    (10)   ~ (all_12_1 = e3)
% 185.00/29.65    (11)   ~ (all_6_2 = e2)
% 185.00/29.65    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.65            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.65    (13)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.00/29.65    (14)  all_54_13 = all_12_1
% 185.00/29.65    (15)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 185.00/29.65          | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 185.00/29.65            e2) | ( ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 & $i(all_57_16))
% 185.00/29.65    (16)  op(e3, e0) = e0
% 185.00/29.65    (17)   ~ (all_12_1 = e1)
% 185.00/29.65    (18)  op(e1, e1) = e0
% 185.00/29.65    (19)  op(e3, e2) = all_52_4
% 185.00/29.65    (20)  op(e0, e2) = all_52_7
% 185.00/29.65    (21)  op(e2, e2) = e0
% 185.00/29.65  
% 185.00/29.65  Begin of proof
% 185.00/29.65  | 
% 185.00/29.65  | BETA: splitting (4) gives:
% 185.00/29.65  | 
% 185.00/29.65  | Case 1:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (22)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~
% 185.00/29.65  | |           (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~
% 185.00/29.65  | |           (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.00/29.65  | |             all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.00/29.65  | |             e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) = all_57_17 &
% 185.00/29.65  | |           op(e3, e0) = all_57_18 & op(e2, e3) = e3 & $i(all_57_0) &
% 185.00/29.65  | |           $i(all_57_2) & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.00/29.65  | |           $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3 &
% 185.00/29.65  | |           all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 185.00/29.65  | |           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.00/29.65  | |           all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) =
% 185.00/29.65  | |           all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.00/29.65  | |           op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.00/29.65  | |           $i(all_57_0) & $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 185.00/29.65  | |           $i(all_57_18) & $i(all_57_28))
% 185.00/29.65  | | 
% 185.00/29.65  | | BETA: splitting (22) gives:
% 185.00/29.65  | | 
% 185.00/29.65  | | Case 1:
% 185.00/29.65  | | | 
% 185.00/29.65  | | |   (23)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~
% 185.00/29.65  | | |         (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~
% 185.00/29.65  | | |         (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.00/29.65  | | |           all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.00/29.65  | | |           e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) = all_57_17 &
% 185.00/29.65  | | |         op(e3, e0) = all_57_18 & op(e2, e3) = e3 & $i(all_57_0) &
% 185.00/29.65  | | |         $i(all_57_2) & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.00/29.65  | | |         $i(all_57_28)
% 185.00/29.65  | | | 
% 185.00/29.65  | | | ALPHA: (23) implies:
% 185.00/29.65  | | |   (24)  all_57_16 = e3
% 185.00/29.65  | | |   (25)   ~ (all_57_28 = e2)
% 185.00/29.65  | | | 
% 185.00/29.65  | | | BETA: splitting (15) gives:
% 185.00/29.65  | | | 
% 185.00/29.65  | | | Case 1:
% 185.00/29.65  | | | | 
% 185.00/29.65  | | | |   (26)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2,
% 185.00/29.65  | | | |             e2) = e2)
% 185.00/29.65  | | | | 
% 185.00/29.65  | | | | REF_CLOSE: (8), (12), (21), (25), (26) are inconsistent by sub-proof
% 185.00/29.65  | | | |            #440.
% 185.00/29.65  | | | | 
% 185.00/29.65  | | | Case 2:
% 185.00/29.65  | | | | 
% 185.00/29.65  | | | |   (27)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0,
% 185.00/29.65  | | | |             e0) = e2) | ( ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 185.00/29.65  | | | |           $i(all_57_16))
% 185.00/29.65  | | | | 
% 185.00/29.65  | | | | BETA: splitting (27) gives:
% 185.00/29.65  | | | | 
% 185.00/29.65  | | | | Case 1:
% 185.00/29.65  | | | | | 
% 185.00/29.65  | | | | |   (28)  all_57_30 = e2 & op(e1, e1) = e2
% 185.00/29.65  | | | | | 
% 185.00/29.65  | | | | | ALPHA: (28) implies:
% 185.00/29.65  | | | | |   (29)  op(e1, e1) = e2
% 185.00/29.65  | | | | | 
% 185.00/29.65  | | | | | REF_CLOSE: (8), (12), (18), (29) are inconsistent by sub-proof #1230.
% 185.00/29.65  | | | | | 
% 185.00/29.65  | | | | Case 2:
% 185.00/29.65  | | | | | 
% 185.00/29.65  | | | | |   (30)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 185.00/29.65  | | | | |           op(e3, e2) = all_57_16 & $i(all_57_16))
% 185.00/29.65  | | | | | 
% 185.00/29.65  | | | | | REF_CLOSE: (1), (11), (12), (24), (30) are inconsistent by sub-proof
% 185.00/29.65  | | | | |            #439.
% 185.00/29.65  | | | | | 
% 185.00/29.65  | | | | End of split
% 185.00/29.65  | | | | 
% 185.00/29.65  | | | End of split
% 185.00/29.65  | | | 
% 185.00/29.65  | | Case 2:
% 185.00/29.65  | | | 
% 185.00/29.65  | | |   (31)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 = e3 &  ~
% 185.00/29.65  | | |         (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0) &  ~
% 185.00/29.65  | | |         (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 & op(e3,
% 185.00/29.65  | | |           all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.00/29.65  | | |           e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.00/29.65  | | |         op(e3, e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) &
% 185.00/29.65  | | |         $i(all_57_1) & $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 185.00/29.65  | | |         $i(all_57_28)
% 185.00/29.65  | | | 
% 185.00/29.65  | | | ALPHA: (31) implies:
% 185.00/29.65  | | |   (32)  all_57_17 = e3
% 185.00/29.65  | | | 
% 185.00/29.65  | | | COMBINE_EQS: (5), (32) imply:
% 185.00/29.65  | | |   (33)  all_52_8 = e3
% 185.00/29.65  | | | 
% 185.00/29.65  | | | REDUCE: (2), (33) imply:
% 185.00/29.65  | | |   (34)  $false
% 185.00/29.65  | | | 
% 185.00/29.65  | | | CLOSE: (34) is inconsistent.
% 185.00/29.65  | | | 
% 185.00/29.65  | | End of split
% 185.00/29.65  | | 
% 185.00/29.65  | Case 2:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (35)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~
% 185.00/29.65  | |           (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~
% 185.00/29.65  | |           (all_57_28 = e0) & op(e3, all_57_16) = all_57_1 & op(e3,
% 185.00/29.65  | |             all_57_17) = all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.00/29.65  | |             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) =
% 185.00/29.65  | |           all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3 & $i(all_57_0) &
% 185.00/29.65  | |           $i(all_57_1) & $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.00/29.65  | |           $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2 &
% 185.00/29.65  | |           all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.00/29.65  | |           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.00/29.65  | |             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.00/29.65  | |             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29
% 185.00/29.65  | |           & op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 185.00/29.65  | |           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.00/29.65  | |           $i(all_57_29))
% 185.00/29.65  | | 
% 185.00/29.65  | | BETA: splitting (35) gives:
% 185.00/29.65  | | 
% 185.00/29.65  | | Case 1:
% 185.00/29.65  | | | 
% 185.00/29.65  | | |   (36)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~
% 185.00/29.65  | | |         (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~
% 185.00/29.65  | | |         (all_57_28 = e0) & op(e3, all_57_16) = all_57_1 & op(e3,
% 185.00/29.65  | | |           all_57_17) = all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.00/29.65  | | |           e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) =
% 185.00/29.65  | | |         all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3 & $i(all_57_0) &
% 185.00/29.65  | | |         $i(all_57_1) & $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.00/29.65  | | |         $i(all_57_28)
% 185.00/29.65  | | | 
% 185.00/29.65  | | | ALPHA: (36) implies:
% 185.00/29.65  | | |   (37)  op(e3, e0) = e3
% 185.00/29.65  | | | 
% 185.00/29.65  | | | REF_CLOSE: (7), (12), (16), (37) are inconsistent by sub-proof #1189.
% 185.00/29.65  | | | 
% 185.00/29.65  | | Case 2:
% 185.00/29.65  | | | 
% 185.00/29.65  | | |   (38)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~
% 185.00/29.65  | | |         (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~
% 185.00/29.65  | | |         (all_57_29 = e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6
% 185.00/29.65  | | |         & op(e2, all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.00/29.65  | | |         op(e2, e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20
% 185.00/29.65  | | |         & op(e2, e0) = all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 185.00/29.65  | | |         $i(all_57_7) & $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 185.00/29.65  | | | 
% 185.00/29.65  | | | ALPHA: (38) implies:
% 185.00/29.65  | | |   (39)  op(e3, e2) = e2
% 185.00/29.65  | | | 
% 185.00/29.65  | | | REF_CLOSE: (3), (6), (9), (10), (12), (13), (14), (17), (19), (20), (39)
% 185.00/29.65  | | |            are inconsistent by sub-proof #533.
% 185.00/29.65  | | | 
% 185.00/29.65  | | End of split
% 185.00/29.65  | | 
% 185.00/29.65  | End of split
% 185.00/29.65  | 
% 185.00/29.65  End of proof
% 185.00/29.65  
% 185.00/29.65  Sub-proof #439 shows that the following formulas are inconsistent:
% 185.00/29.65  ----------------------------------------------------------------
% 185.00/29.65    (1)  op(e0, e0) = all_6_2
% 185.00/29.65    (2)   ~ (all_6_2 = e2)
% 185.00/29.65    (3)  all_57_16 = e3
% 185.00/29.65    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.65    (5)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) & op(e3, e2) =
% 185.00/29.65           all_57_16 & $i(all_57_16))
% 185.00/29.65  
% 185.00/29.65  Begin of proof
% 185.00/29.65  | 
% 185.00/29.65  | BETA: splitting (5) gives:
% 185.00/29.65  | 
% 185.00/29.65  | Case 1:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (6)  all_57_31 = e2 & op(e0, e0) = e2
% 185.00/29.65  | | 
% 185.00/29.65  | | ALPHA: (6) implies:
% 185.00/29.65  | |   (7)  op(e0, e0) = e2
% 185.00/29.65  | | 
% 185.00/29.65  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #1511.
% 185.00/29.65  | | 
% 185.00/29.65  | Case 2:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (8)   ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 & $i(all_57_16)
% 185.00/29.65  | | 
% 185.00/29.65  | | ALPHA: (8) implies:
% 185.00/29.65  | |   (9)   ~ (all_57_16 = e3)
% 185.00/29.65  | | 
% 185.00/29.65  | | REDUCE: (3), (9) imply:
% 185.00/29.65  | |   (10)  $false
% 185.00/29.65  | | 
% 185.00/29.65  | | CLOSE: (10) is inconsistent.
% 185.00/29.65  | | 
% 185.00/29.65  | End of split
% 185.00/29.65  | 
% 185.00/29.65  End of proof
% 185.00/29.65  
% 185.00/29.65  Sub-proof #440 shows that the following formulas are inconsistent:
% 185.00/29.65  ----------------------------------------------------------------
% 185.00/29.65    (1)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 185.00/29.65    (2)   ~ (e2 = e0)
% 185.00/29.65    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.65    (4)   ~ (all_57_28 = e2)
% 185.00/29.65    (5)  op(e2, e2) = e0
% 185.00/29.65  
% 185.00/29.65  Begin of proof
% 185.00/29.65  | 
% 185.00/29.65  | BETA: splitting (1) gives:
% 185.00/29.65  | 
% 185.00/29.65  | Case 1:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (6)  all_57_28 = e2 & op(e3, e3) = e2
% 185.00/29.65  | | 
% 185.00/29.65  | | ALPHA: (6) implies:
% 185.00/29.65  | |   (7)  all_57_28 = e2
% 185.00/29.65  | | 
% 185.00/29.65  | | REDUCE: (4), (7) imply:
% 185.00/29.65  | |   (8)  $false
% 185.00/29.65  | | 
% 185.00/29.65  | | CLOSE: (8) is inconsistent.
% 185.00/29.65  | | 
% 185.00/29.65  | Case 2:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (9)  all_57_29 = e2 & op(e2, e2) = e2
% 185.00/29.65  | | 
% 185.00/29.65  | | ALPHA: (9) implies:
% 185.00/29.65  | |   (10)  op(e2, e2) = e2
% 185.00/29.65  | | 
% 185.00/29.65  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1586.
% 185.00/29.65  | | 
% 185.00/29.65  | End of split
% 185.00/29.65  | 
% 185.00/29.65  End of proof
% 185.00/29.65  
% 185.00/29.65  Sub-proof #441 shows that the following formulas are inconsistent:
% 185.00/29.65  ----------------------------------------------------------------
% 185.00/29.65    (1)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.00/29.65         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.00/29.65    (2)   ~ (e3 = e0)
% 185.00/29.65    (3)   ~ (e2 = e0)
% 185.00/29.65    (4)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.00/29.65         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.65    (5)   ~ (e3 = e1)
% 185.00/29.65    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.65    (7)   ~ (e3 = e2)
% 185.00/29.65    (8)  all_56_1 = e1
% 185.00/29.65    (9)   ~ (e2 = e1)
% 185.00/29.65    (10)  all_56_13 = e1
% 185.00/29.65    (11)  op(e2, e2) = e0
% 185.00/29.65  
% 185.00/29.65  Begin of proof
% 185.00/29.65  | 
% 185.00/29.65  | BETA: splitting (1) gives:
% 185.00/29.65  | 
% 185.00/29.65  | Case 1:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (12)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 185.00/29.65  | |           e3)
% 185.00/29.65  | | 
% 185.00/29.65  | | REF_CLOSE: (2), (5), (6), (8), (11), (12) are inconsistent by sub-proof
% 185.00/29.65  | |            #442.
% 185.00/29.65  | | 
% 185.00/29.65  | Case 2:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (13)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 185.00/29.65  | |           e3)
% 185.00/29.65  | | 
% 185.00/29.65  | | BETA: splitting (13) gives:
% 185.00/29.65  | | 
% 185.00/29.65  | | Case 1:
% 185.00/29.65  | | | 
% 185.00/29.65  | | |   (14)  all_56_7 = e3 & op(e1, e2) = e3
% 185.00/29.65  | | | 
% 185.00/29.65  | | | ALPHA: (14) implies:
% 185.00/29.65  | | |   (15)  all_56_7 = e3
% 185.00/29.65  | | | 
% 185.00/29.65  | | | REF_CLOSE: (3), (4), (6), (7), (8), (9), (10), (11), (15) are inconsistent
% 185.00/29.65  | | |            by sub-proof #1428.
% 185.00/29.65  | | | 
% 185.00/29.65  | | Case 2:
% 185.00/29.65  | | | 
% 185.00/29.65  | | |   (16)  all_56_13 = e3 & op(e0, e2) = e3
% 185.00/29.65  | | | 
% 185.00/29.65  | | | REF_CLOSE: (5), (10), (16) are inconsistent by sub-proof #1066.
% 185.00/29.65  | | | 
% 185.00/29.65  | | End of split
% 185.00/29.65  | | 
% 185.00/29.65  | End of split
% 185.00/29.65  | 
% 185.00/29.65  End of proof
% 185.00/29.65  
% 185.00/29.65  Sub-proof #442 shows that the following formulas are inconsistent:
% 185.00/29.65  ----------------------------------------------------------------
% 185.00/29.65    (1)   ~ (e3 = e0)
% 185.00/29.65    (2)   ~ (e3 = e1)
% 185.00/29.65    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.65    (4)  all_56_1 = e1
% 185.00/29.65    (5)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 185.00/29.65    (6)  op(e2, e2) = e0
% 185.00/29.65  
% 185.00/29.65  Begin of proof
% 185.00/29.65  | 
% 185.00/29.65  | BETA: splitting (5) gives:
% 185.00/29.65  | 
% 185.00/29.65  | Case 1:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (7)  all_56_1 = e3 & op(e3, e2) = e3
% 185.00/29.65  | | 
% 185.00/29.65  | | REF_CLOSE: (2), (4), (7) are inconsistent by sub-proof #460.
% 185.00/29.65  | | 
% 185.00/29.65  | Case 2:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (8)  all_56_3 = e3 & op(e2, e2) = e3
% 185.00/29.65  | | 
% 185.00/29.65  | | ALPHA: (8) implies:
% 185.00/29.65  | |   (9)  op(e2, e2) = e3
% 185.00/29.65  | | 
% 185.00/29.65  | | REF_CLOSE: (1), (3), (6), (9) are inconsistent by sub-proof #1015.
% 185.00/29.65  | | 
% 185.00/29.65  | End of split
% 185.00/29.65  | 
% 185.00/29.65  End of proof
% 185.00/29.65  
% 185.00/29.65  Sub-proof #443 shows that the following formulas are inconsistent:
% 185.00/29.65  ----------------------------------------------------------------
% 185.00/29.65    (1)  op(e0, e0) = all_6_2
% 185.00/29.65    (2)   ~ (all_6_2 = e1)
% 185.00/29.65    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.65    (4)   ~ (all_52_8 = e0)
% 185.00/29.65    (5)  op(e3, e1) = e0
% 185.00/29.65    (6)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) & op(e3, e1) =
% 185.00/29.65           all_57_17 & $i(all_57_17))
% 185.00/29.65    (7)  op(e3, e1) = all_52_8
% 185.00/29.65  
% 185.00/29.65  Begin of proof
% 185.00/29.65  | 
% 185.00/29.65  | BETA: splitting (6) gives:
% 185.00/29.65  | 
% 185.00/29.65  | Case 1:
% 185.00/29.65  | | 
% 185.00/29.65  | |   (8)  all_57_31 = e1 & op(e0, e0) = e1
% 185.00/29.65  | | 
% 185.00/29.65  | | ALPHA: (8) implies:
% 185.00/29.65  | |   (9)  op(e0, e0) = e1
% 185.00/29.66  | | 
% 185.00/29.66  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #1516.
% 185.00/29.66  | | 
% 185.00/29.66  | Case 2:
% 185.00/29.66  | | 
% 185.00/29.66  | |   (10)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 & $i(all_57_17)
% 185.00/29.66  | | 
% 185.00/29.66  | | ALPHA: (10) implies:
% 185.00/29.66  | |   (11)  op(e3, e1) = all_57_17
% 185.00/29.66  | | 
% 185.00/29.66  | | REF_CLOSE: (3), (4), (5), (7), (11) are inconsistent by sub-proof #1157.
% 185.00/29.66  | | 
% 185.00/29.66  | End of split
% 185.00/29.66  | 
% 185.00/29.66  End of proof
% 185.00/29.66  
% 185.00/29.66  Sub-proof #444 shows that the following formulas are inconsistent:
% 185.00/29.66  ----------------------------------------------------------------
% 185.00/29.66    (1)   ~ (all_52_12 = all_4_2)
% 185.00/29.66    (2)  all_54_6 = all_52_9
% 185.00/29.66    (3)   ~ (all_52_8 = all_52_11)
% 185.00/29.66    (4)  op(e0, e0) = all_6_2
% 185.00/29.66    (5)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 185.00/29.66    (6)   ~ (all_52_4 = all_52_12)
% 185.00/29.66    (7)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 185.00/29.66    (8)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.00/29.66         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.00/29.66    (9)   ~ (all_32_2 = e3) | ( ~ (all_32_0 = e2) & op(e3, e3) = all_32_0 &
% 185.00/29.66           $i(all_32_0)) | ( ~ (all_32_1 = e1) & op(e3, e0) = all_32_1 &
% 185.00/29.66           $i(all_32_1))
% 185.00/29.66    (10)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.00/29.66    (11)   ~ (all_4_2 = e0)
% 185.00/29.66    (12)   ~ (all_52_11 = e1)
% 185.00/29.66    (13)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.00/29.66          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.00/29.66    (14)   ~ (all_6_2 = e1)
% 185.00/29.66    (15)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.00/29.66          (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.00/29.66    (16)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.00/29.66          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.00/29.66    (17)   ~ (all_52_6 = all_52_14)
% 185.00/29.66    (18)   ~ (e1 = e0)
% 185.00/29.66    (19)  op(e1, e3) = all_52_2
% 185.00/29.66    (20)   ~ (all_52_1 = all_4_2)
% 185.00/29.66    (21)  op(e1, e0) = all_52_14
% 185.00/29.66    (22)   ~ (all_52_2 = all_52_6)
% 185.00/29.66    (23)   ~ (all_52_9 = e0)
% 185.00/29.66    (24)  all_54_15 = all_6_2
% 185.00/29.66    (25)   ~ (all_52_13 = all_52_14)
% 185.00/29.66    (26)  all_54_0 = all_4_2
% 185.00/29.66    (27)   ~ (e3 = e0)
% 185.00/29.66    (28)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.00/29.66          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.00/29.66    (29)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.00/29.66          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.66    (30)   ~ (all_52_13 = all_6_2)
% 185.00/29.66    (31)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.00/29.66          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.00/29.66    (32)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.00/29.66          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.00/29.66    (33)  op(e2, e1) = all_52_9
% 185.00/29.66    (34)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.00/29.66          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.00/29.66    (35)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.00/29.66          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.00/29.66    (36)   ~ (all_52_14 = e1)
% 185.00/29.66    (37)   ~ (all_52_6 = e0)
% 185.00/29.66    (38)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 185.00/29.66          | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 185.00/29.66            e2) | ( ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 & $i(all_57_23))
% 185.00/29.66    (39)  op(e3, e0) = all_52_12
% 185.00/29.66    (40)   ~ (e2 = e0)
% 185.00/29.66    (41)   ~ (all_52_8 = all_4_2)
% 185.00/29.66    (42)  all_54_13 = all_52_7
% 185.00/29.66    (43)   ~ (all_52_6 = all_52_7)
% 185.00/29.66    (44)   ~ (all_52_12 = all_52_13)
% 185.00/29.66    (45)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.00/29.66          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.66    (46)   ~ (e3 = e1)
% 185.00/29.66    (47)   ~ (all_52_4 = all_52_7)
% 185.00/29.66    (48)   ~ (all_6_2 = e2)
% 185.00/29.66    (49)   ~ (all_52_9 = all_52_13)
% 185.00/29.66    (50)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 185.00/29.66    (51)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.66          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.66    (52)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 185.00/29.66    (53)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 185.00/29.66    (54)   ~ (all_52_12 = all_52_14)
% 185.00/29.66    (55)  op(e2, e3) = all_52_1
% 185.00/29.66    (56)  all_54_4 = all_52_1
% 185.00/29.66    (57)   ~ (all_52_1 = all_52_2)
% 185.00/29.66    (58)  all_30_2 = all_4_2
% 185.00/29.66    (59)   ~ (all_52_7 = e0)
% 185.00/29.66    (60)  op(e0, e3) = all_52_3
% 185.00/29.66    (61)   ~ (all_52_4 = all_52_8)
% 185.00/29.66    (62)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.00/29.66    (63)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.66            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.66    (64)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.00/29.66          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.00/29.66    (65)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 185.00/29.66    (66)  all_54_7 = all_52_13
% 185.00/29.66    (67)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.00/29.66    (68)  all_48_2 = all_4_2
% 185.00/29.66    (69)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.00/29.66          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.00/29.66    (70)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 185.00/29.66              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 185.00/29.66            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.00/29.66              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.00/29.66            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 185.00/29.66            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 185.00/29.66            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 185.00/29.66            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 185.00/29.66            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 185.00/29.66            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.00/29.66              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 185.00/29.66              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.00/29.66            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.00/29.66          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 185.00/29.66              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 185.00/29.66            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.00/29.66              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.00/29.66            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 185.00/29.66            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.00/29.66            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 185.00/29.66            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.00/29.66            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.00/29.66              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.00/29.66              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 185.00/29.66            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 185.00/29.66            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.00/29.66            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 185.00/29.66            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 185.00/29.66            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 185.00/29.66            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 185.00/29.66            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.00/29.66            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 185.00/29.66            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 185.00/29.66            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 185.00/29.66              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 185.00/29.66            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 185.00/29.66            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 185.00/29.66              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 185.00/29.66            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 185.00/29.66            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 185.00/29.66            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 185.00/29.66            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.66            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.00/29.66              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 185.00/29.66              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 185.00/29.66            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 185.00/29.66            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 185.00/29.66              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 185.00/29.66            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 185.00/29.66            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.00/29.66            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 185.00/29.66            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 185.00/29.66            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 185.00/29.66                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 185.00/29.66                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 185.00/29.66                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.66                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 185.00/29.66                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.00/29.66                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.00/29.66                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.00/29.66                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.00/29.66                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.00/29.66                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.00/29.66                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 185.00/29.66                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.00/29.66                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 185.00/29.66                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 185.00/29.66                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 185.00/29.66                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 185.00/29.66    (71)  all_54_8 = all_52_2
% 185.00/29.66    (72)  all_54_11 = all_52_14
% 185.00/29.66    (73)   ~ (all_30_2 = e2) | ( ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 &
% 185.00/29.66            $i(all_30_0)) | ( ~ (all_30_1 = e0) & op(e2, e3) = all_30_1 &
% 185.00/29.66            $i(all_30_1))
% 185.00/29.66    (74)  all_57_30 = e1
% 185.00/29.66    (75)   ~ (all_52_8 = all_52_12)
% 185.00/29.66    (76)  all_32_2 = all_6_2
% 185.00/29.66    (77)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.00/29.66          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.00/29.66    (78)  all_56_3 = e0
% 185.00/29.66    (79)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.00/29.66          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.00/29.66    (80)   ~ (all_52_9 = all_52_11)
% 185.00/29.66    (81)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.00/29.66          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.00/29.66    (82)  all_54_9 = all_52_6
% 185.00/29.66    (83)   ~ (all_52_8 = all_52_9)
% 185.00/29.66    (84)   ~ (all_52_7 = all_6_2)
% 185.00/29.66    (85)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.00/29.66          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.00/29.66    (86)   ~ (all_52_1 = e0)
% 185.00/29.66    (87)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.00/29.66          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.00/29.66            e1)
% 185.00/29.66    (88)  ( ~ (all_12_0 = e3) & op(e0, e0) = all_12_0 & $i(all_12_0)) | ( ~
% 185.00/29.66            (all_12_1 = e1) & op(e0, e2) = all_12_1 & $i(all_12_1))
% 185.00/29.66    (89)   ~ (all_52_3 = all_4_2)
% 185.00/29.66    (90)  op(e2, e0) = all_52_13
% 185.00/29.66    (91)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.00/29.66          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.00/29.66    (92)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 185.00/29.66    (93)   ~ (all_48_2 = e2) | ( ~ (all_48_0 = e0) & op(e2, e2) = all_48_0 &
% 185.00/29.66            $i(all_48_0)) | ( ~ (all_48_1 = e1) & op(e2, e3) = all_48_1 &
% 185.00/29.66            $i(all_48_1))
% 185.00/29.66    (94)   ~ (e3 = e2)
% 185.00/29.66    (95)   ~ (all_52_2 = all_4_2)
% 185.00/29.66    (96)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.00/29.66          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.00/29.66    (97)  all_54_12 = all_52_3
% 185.00/29.66    (98)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.00/29.66    (99)  op(e3, e1) = all_52_8
% 185.00/29.66    (100)   ~ (all_52_4 = all_52_6)
% 185.00/29.66    (101)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 185.00/29.66           | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 185.00/29.66             e2) | ( ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 & $i(all_57_16))
% 185.00/29.66    (102)   ~ (all_52_2 = all_52_3)
% 185.00/29.66    (103)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 185.00/29.66           | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 185.00/29.66             e2) | ( ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 & $i(all_57_29))
% 185.00/29.66    (104)  op(e3, e3) = all_4_2
% 185.00/29.66    (105)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.00/29.66           (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.00/29.66    (106)   ~ (all_52_1 = all_52_3)
% 185.00/29.66    (107)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.00/29.66           (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.00/29.66    (108)   ~ (all_52_14 = all_6_2)
% 185.00/29.66    (109)  op(e3, e2) = all_52_4
% 185.00/29.66    (110)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.00/29.66           | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.00/29.66             e3)
% 185.00/29.66    (111)   ~ (all_52_4 = all_4_2)
% 185.00/29.66    (112)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.00/29.66           (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.00/29.66    (113)  op(e1, e2) = all_52_6
% 185.00/29.66    (114)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 185.00/29.66    (115)   ~ (all_52_4 = e0)
% 185.00/29.66    (116)   ~ (all_52_13 = e0)
% 185.00/29.66    (117)   ~ (e2 = e1)
% 185.00/29.66    (118)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.00/29.66           | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.00/29.66             e2)
% 185.00/29.66    (119)  all_54_3 = all_52_12
% 185.00/29.66    (120)  op(e0, e2) = all_52_7
% 185.00/29.66    (121)   ~ (all_52_9 = e1)
% 185.00/29.66    (122)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 185.00/29.66    (123)   ~ (all_52_1 = all_52_9)
% 185.00/29.66    (124)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) =
% 185.00/29.66                 e0) | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 185.00/29.66                 op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 185.00/29.66               (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.00/29.66                 e0)))
% 185.00/29.66    (125)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 185.00/29.66           | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 185.00/29.66             e2) | ( ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 & $i(all_57_26))
% 185.00/29.66    (126)   ~ (all_52_2 = all_52_14)
% 185.00/29.66    (127)  all_54_14 = all_52_11
% 185.00/29.66    (128)  op(e2, e2) = e0
% 185.00/29.66    (129)   ~ (all_52_8 = e1)
% 185.00/29.66    (130)   ~ (all_4_2 = e1)
% 185.00/29.66    (131)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.00/29.66           (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.00/29.66    (132)   ~ (all_52_7 = all_52_11)
% 185.00/29.66    (133)   ~ (all_52_2 = e1)
% 185.00/29.66    (134)  all_54_1 = all_52_4
% 185.00/29.66    (135)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.00/29.66           (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.00/29.66    (136)  op(e1, e1) = e1
% 185.00/29.66  
% 185.00/29.66  Begin of proof
% 185.00/29.66  | 
% 185.00/29.66  | BETA: splitting (73) gives:
% 185.00/29.66  | 
% 185.00/29.66  | Case 1:
% 185.00/29.66  | | 
% 185.00/29.66  | |   (137)   ~ (all_30_2 = e2)
% 185.00/29.66  | | 
% 185.00/29.66  | | REDUCE: (58), (137) imply:
% 185.00/29.66  | |   (138)   ~ (all_4_2 = e2)
% 185.00/29.66  | | 
% 185.00/29.66  | | BETA: splitting (38) gives:
% 185.00/29.66  | | 
% 185.00/29.66  | | Case 1:
% 185.00/29.66  | | | 
% 185.00/29.66  | | |   (139)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2)
% 185.00/29.66  | | |            = e2)
% 185.00/29.66  | | | 
% 185.00/29.66  | | | REF_CLOSE: (11), (26), (40), (62), (63), (104), (128), (130), (138), (139)
% 185.00/29.66  | | |            are inconsistent by sub-proof #608.
% 185.00/29.66  | | | 
% 185.00/29.66  | | Case 2:
% 185.00/29.66  | | | 
% 185.00/29.66  | | |   (140)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0)
% 185.00/29.66  | | |            = e2) | ( ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 185.00/29.66  | | |            $i(all_57_23))
% 185.00/29.66  | | | 
% 185.00/29.66  | | | BETA: splitting (140) gives:
% 185.00/29.66  | | | 
% 185.00/29.66  | | | Case 1:
% 185.00/29.66  | | | | 
% 185.00/29.66  | | | |   (141)  all_57_30 = e2 & op(e1, e1) = e2
% 185.00/29.66  | | | | 
% 185.00/29.66  | | | | ALPHA: (141) implies:
% 185.00/29.66  | | | |   (142)  op(e1, e1) = e2
% 185.00/29.66  | | | | 
% 185.00/29.66  | | | | REF_CLOSE: (63), (117), (136), (142) are inconsistent by sub-proof
% 185.00/29.66  | | | |            #1473.
% 185.00/29.66  | | | | 
% 185.00/29.66  | | | Case 2:
% 185.00/29.66  | | | | 
% 185.00/29.66  | | | |   (143)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 185.00/29.66  | | | |            op(e1, e2) = all_57_23 & $i(all_57_23))
% 185.00/29.66  | | | | 
% 185.00/29.66  | | | | BETA: splitting (143) gives:
% 185.00/29.66  | | | | 
% 185.00/29.66  | | | | Case 1:
% 185.00/29.66  | | | | | 
% 185.00/29.66  | | | | |   (144)  all_57_31 = e2 & op(e0, e0) = e2
% 185.00/29.66  | | | | | 
% 185.00/29.66  | | | | | ALPHA: (144) implies:
% 185.00/29.66  | | | | |   (145)  op(e0, e0) = e2
% 185.00/29.66  | | | | | 
% 185.00/29.66  | | | | | REF_CLOSE: (4), (48), (63), (145) are inconsistent by sub-proof #1511.
% 185.00/29.66  | | | | | 
% 185.00/29.66  | | | | Case 2:
% 185.00/29.66  | | | | | 
% 185.00/29.66  | | | | |   (146)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 & $i(all_57_23)
% 185.00/29.66  | | | | | 
% 185.00/29.66  | | | | | ALPHA: (146) implies:
% 185.00/29.66  | | | | |   (147)   ~ (all_57_23 = e1)
% 185.00/29.66  | | | | |   (148)  op(e1, e2) = all_57_23
% 185.00/29.66  | | | | | 
% 185.00/29.66  | | | | | BETA: splitting (101) gives:
% 185.00/29.66  | | | | | 
% 185.00/29.66  | | | | | Case 1:
% 185.00/29.66  | | | | | | 
% 185.00/29.66  | | | | | |   (149)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 &
% 185.00/29.66  | | | | | |            op(e2, e2) = e2)
% 185.00/29.66  | | | | | | 
% 185.00/29.66  | | | | | | REF_CLOSE: (11), (26), (40), (62), (63), (104), (128), (130), (138),
% 185.00/29.66  | | | | | |            (149) are inconsistent by sub-proof #608.
% 185.00/29.66  | | | | | | 
% 185.00/29.66  | | | | | Case 2:
% 185.00/29.66  | | | | | | 
% 185.00/29.66  | | | | | |   (150)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 &
% 185.00/29.66  | | | | | |            op(e0, e0) = e2) | ( ~ (all_57_16 = e3) & op(e3, e2) =
% 185.00/29.66  | | | | | |            all_57_16 & $i(all_57_16))
% 185.00/29.66  | | | | | | 
% 185.00/29.66  | | | | | | BETA: splitting (150) gives:
% 185.00/29.66  | | | | | | 
% 185.00/29.66  | | | | | | Case 1:
% 185.00/29.66  | | | | | | | 
% 185.00/29.66  | | | | | | |   (151)  all_57_30 = e2 & op(e1, e1) = e2
% 185.00/29.66  | | | | | | | 
% 185.00/29.66  | | | | | | | ALPHA: (151) implies:
% 185.00/29.66  | | | | | | |   (152)  op(e1, e1) = e2
% 185.00/29.66  | | | | | | | 
% 185.00/29.66  | | | | | | | REF_CLOSE: (63), (117), (136), (152) are inconsistent by sub-proof
% 185.00/29.66  | | | | | | |            #1473.
% 185.00/29.66  | | | | | | | 
% 185.00/29.66  | | | | | | Case 2:
% 185.00/29.66  | | | | | | | 
% 185.00/29.66  | | | | | | |   (153)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3)
% 185.00/29.66  | | | | | | |            & op(e3, e2) = all_57_16 & $i(all_57_16))
% 185.00/29.66  | | | | | | | 
% 185.00/29.66  | | | | | | | BETA: splitting (153) gives:
% 185.00/29.66  | | | | | | | 
% 185.00/29.66  | | | | | | | Case 1:
% 185.00/29.66  | | | | | | | | 
% 185.00/29.66  | | | | | | | |   (154)  all_57_31 = e2 & op(e0, e0) = e2
% 185.00/29.66  | | | | | | | | 
% 185.00/29.66  | | | | | | | | ALPHA: (154) implies:
% 185.00/29.66  | | | | | | | |   (155)  op(e0, e0) = e2
% 185.00/29.66  | | | | | | | | 
% 185.00/29.66  | | | | | | | | REF_CLOSE: (4), (48), (63), (155) are inconsistent by sub-proof
% 185.00/29.66  | | | | | | | |            #1511.
% 185.00/29.66  | | | | | | | | 
% 185.00/29.66  | | | | | | | Case 2:
% 185.00/29.66  | | | | | | | | 
% 185.00/29.66  | | | | | | | |   (156)   ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 185.00/29.66  | | | | | | | |          $i(all_57_16)
% 185.00/29.66  | | | | | | | | 
% 185.00/29.66  | | | | | | | | ALPHA: (156) implies:
% 185.00/29.66  | | | | | | | |   (157)   ~ (all_57_16 = e3)
% 185.00/29.66  | | | | | | | |   (158)  op(e3, e2) = all_57_16
% 185.00/29.66  | | | | | | | | 
% 185.00/29.66  | | | | | | | | BETA: splitting (125) gives:
% 185.00/29.66  | | | | | | | | 
% 185.00/29.66  | | | | | | | | Case 1:
% 185.00/29.66  | | | | | | | | | 
% 185.00/29.66  | | | | | | | | |   (159)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2
% 185.00/29.66  | | | | | | | | |            & op(e2, e2) = e2)
% 185.00/29.66  | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | REF_CLOSE: (11), (26), (40), (62), (63), (104), (128), (130),
% 185.00/29.66  | | | | | | | | |            (138), (159) are inconsistent by sub-proof #608.
% 185.00/29.66  | | | | | | | | | 
% 185.00/29.66  | | | | | | | | Case 2:
% 185.00/29.66  | | | | | | | | | 
% 185.00/29.66  | | | | | | | | |   (160)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2
% 185.00/29.66  | | | | | | | | |            & op(e0, e0) = e2) | ( ~ (all_57_26 = e0) & op(e0,
% 185.00/29.66  | | | | | | | | |              e2) = all_57_26 & $i(all_57_26))
% 185.00/29.66  | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | BETA: splitting (160) gives:
% 185.00/29.66  | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | Case 1:
% 185.00/29.66  | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | |   (161)  all_57_30 = e2 & op(e1, e1) = e2
% 185.00/29.66  | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | ALPHA: (161) implies:
% 185.00/29.66  | | | | | | | | | |   (162)  op(e1, e1) = e2
% 185.00/29.66  | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | REF_CLOSE: (63), (117), (136), (162) are inconsistent by
% 185.00/29.66  | | | | | | | | | |            sub-proof #1473.
% 185.00/29.66  | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | Case 2:
% 185.00/29.66  | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | |   (163)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~ (all_57_26
% 185.00/29.66  | | | | | | | | | |              = e0) & op(e0, e2) = all_57_26 & $i(all_57_26))
% 185.00/29.66  | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | BETA: splitting (163) gives:
% 185.00/29.66  | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | Case 1:
% 185.00/29.66  | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | |   (164)  all_57_31 = e2 & op(e0, e0) = e2
% 185.00/29.66  | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | ALPHA: (164) implies:
% 185.00/29.66  | | | | | | | | | | |   (165)  op(e0, e0) = e2
% 185.00/29.66  | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | REF_CLOSE: (4), (48), (63), (165) are inconsistent by
% 185.00/29.66  | | | | | | | | | | |            sub-proof #1511.
% 185.00/29.66  | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | Case 2:
% 185.00/29.66  | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | |   (166)   ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 185.00/29.66  | | | | | | | | | | |          $i(all_57_26)
% 185.00/29.66  | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | ALPHA: (166) implies:
% 185.00/29.66  | | | | | | | | | | |   (167)   ~ (all_57_26 = e0)
% 185.00/29.66  | | | | | | | | | | |   (168)  op(e0, e2) = all_57_26
% 185.00/29.66  | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | BETA: splitting (103) gives:
% 185.00/29.66  | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | Case 1:
% 185.00/29.66  | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | |   (169)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 185.00/29.66  | | | | | | | | | | | |            e2 & op(e2, e2) = e2)
% 185.00/29.66  | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | REF_CLOSE: (11), (26), (40), (62), (63), (104), (128), (130),
% 185.00/29.66  | | | | | | | | | | | |            (138), (169) are inconsistent by sub-proof #608.
% 185.00/29.66  | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | Case 2:
% 185.00/29.66  | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | |   (170)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 185.00/29.66  | | | | | | | | | | | |            e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 185.00/29.66  | | | | | | | | | | | |            op(e2, e2) = all_57_29 & $i(all_57_29))
% 185.00/29.66  | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | BETA: splitting (170) gives:
% 185.00/29.66  | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | Case 1:
% 185.00/29.66  | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | |   (171)  all_57_30 = e2 & op(e1, e1) = e2
% 185.00/29.66  | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | ALPHA: (171) implies:
% 185.00/29.66  | | | | | | | | | | | | |   (172)  op(e1, e1) = e2
% 185.00/29.66  | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | REF_CLOSE: (63), (117), (136), (172) are inconsistent by
% 185.00/29.66  | | | | | | | | | | | | |            sub-proof #1473.
% 185.00/29.66  | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | Case 2:
% 185.00/29.66  | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | |   (173)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 185.00/29.66  | | | | | | | | | | | | |            (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 185.00/29.66  | | | | | | | | | | | | |            $i(all_57_29))
% 185.00/29.66  | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | BETA: splitting (173) gives:
% 185.00/29.66  | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | Case 1:
% 185.00/29.66  | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | |   (174)  all_57_31 = e2 & op(e0, e0) = e2
% 185.00/29.66  | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | ALPHA: (174) implies:
% 185.00/29.66  | | | | | | | | | | | | | |   (175)  op(e0, e0) = e2
% 185.00/29.66  | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | REF_CLOSE: (4), (48), (63), (175) are inconsistent by
% 185.00/29.66  | | | | | | | | | | | | | |            sub-proof #1511.
% 185.00/29.66  | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | Case 2:
% 185.00/29.66  | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | |   (176)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 185.00/29.66  | | | | | | | | | | | | | |          $i(all_57_29)
% 185.00/29.66  | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | ALPHA: (176) implies:
% 185.00/29.66  | | | | | | | | | | | | | |   (177)   ~ (all_57_29 = e2)
% 185.00/29.66  | | | | | | | | | | | | | |   (178)  op(e2, e2) = all_57_29
% 185.00/29.66  | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | BETA: splitting (62) gives:
% 185.00/29.66  | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | Case 1:
% 185.00/29.66  | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | |   (179)  all_54_0 = e3
% 185.00/29.66  | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | COMBINE_EQS: (26), (179) imply:
% 185.00/29.66  | | | | | | | | | | | | | | |   (180)  all_4_2 = e3
% 185.00/29.66  | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | REDUCE: (41), (180) imply:
% 185.00/29.66  | | | | | | | | | | | | | | |   (181)   ~ (all_52_8 = e3)
% 185.00/29.66  | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | REDUCE: (1), (180) imply:
% 185.00/29.66  | | | | | | | | | | | | | | |   (182)   ~ (all_52_12 = e3)
% 185.00/29.66  | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | REDUCE: (104), (180) imply:
% 185.00/29.66  | | | | | | | | | | | | | | |   (183)  op(e3, e3) = e3
% 185.00/29.66  | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | BETA: splitting (51) gives:
% 185.00/29.66  | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | Case 1:
% 185.00/29.66  | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | |   (184)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 185.00/29.66  | | | | | | | | | | | | | | | |            & op(e2, e3) = e3)
% 185.00/29.66  | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 185.00/29.66  | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.66  | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | |   (185)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.66  | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | ALPHA: (185) implies:
% 185.00/29.66  | | | | | | | | | | | | | | | | |   (186)  all_56_0 = e3
% 185.00/29.66  | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (63) with all_52_7, all_57_26, e2,
% 185.00/29.66  | | | | | | | | | | | | | | | | |              e0, simplifying with (120), (168) gives:
% 185.00/29.66  | | | | | | | | | | | | | | | | |   (187)  all_57_26 = all_52_7
% 185.00/29.66  | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (63) with all_52_6, all_57_23, e2,
% 185.00/29.66  | | | | | | | | | | | | | | | | |              e1, simplifying with (113), (148) gives:
% 185.00/29.66  | | | | | | | | | | | | | | | | |   (188)  all_57_23 = all_52_6
% 185.00/29.66  | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (63) with e0, all_57_29, e2, e2,
% 185.00/29.66  | | | | | | | | | | | | | | | | |              simplifying with (128), (178) gives:
% 185.00/29.66  | | | | | | | | | | | | | | | | |   (189)  all_57_29 = e0
% 185.00/29.66  | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (63) with all_52_4, all_57_16, e2,
% 185.00/29.66  | | | | | | | | | | | | | | | | |              e3, simplifying with (109), (158) gives:
% 185.00/29.66  | | | | | | | | | | | | | | | | |   (190)  all_57_16 = all_52_4
% 185.00/29.66  | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | REDUCE: (157), (190) imply:
% 185.00/29.66  | | | | | | | | | | | | | | | | |   (191)   ~ (all_52_4 = e3)
% 185.00/29.66  | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | REDUCE: (147), (188) imply:
% 185.00/29.66  | | | | | | | | | | | | | | | | |   (192)   ~ (all_52_6 = e1)
% 185.00/29.66  | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | REDUCE: (177), (189) imply:
% 185.00/29.66  | | | | | | | | | | | | | | | | |   (193)   ~ (e2 = e0)
% 185.00/29.66  | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 185.00/29.66  | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | |   (194)   ~ (all_32_2 = e3)
% 185.00/29.66  | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | REDUCE: (76), (194) imply:
% 185.00/29.66  | | | | | | | | | | | | | | | | | |   (195)   ~ (all_6_2 = e3)
% 185.00/29.66  | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | BETA: splitting (5) gives:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | |   (196)  all_54_15 = e3
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (196) imply:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | |   (197)  all_6_2 = e3
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | REDUCE: (195), (197) imply:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | |   (198)  $false
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | CLOSE: (198) is inconsistent.
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | |   (199)   ~ (all_54_15 = e3)
% 185.00/29.66  | | | | | | | | | | | | | | | | | | |   (200)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | |   (201)  all_54_15 = e2
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (201) imply:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | |   (202)  all_6_2 = e2
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (202) imply:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | |   (203)  $false
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | CLOSE: (203) is inconsistent.
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | |   (204)   ~ (all_54_15 = e2)
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | |   (205)  all_54_15 = e1 | all_54_15 = e0
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | |   (206)  all_54_15 = e1
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (206) imply:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | |   (207)  all_6_2 = e1
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (207) imply:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | |   (208)  $false
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | CLOSE: (208) is inconsistent.
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | |   (209)  all_54_15 = e0
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (24), (209) imply:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | |   (210)  all_6_2 = e0
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (210) imply:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | |   (211)   ~ (all_52_14 = e0)
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | REDUCE: (195), (210) imply:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | |   (212)   ~ (e3 = e0)
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (210) imply:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | |   (213)   ~ (e1 = e0)
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (210) imply:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | |   (214)  op(e0, e0) = e0
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (124) gives:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | |   (215)  all_56_15 = e0 & op(e0, e0) = e0
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (215) implies:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | |   (216)  all_56_15 = e0
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | | |   (217)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 185.00/29.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (63), (104), (109), (115), (217) are
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1060.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | |   (218)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (219) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | |   (220)  all_56_4 = e0
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | |   (221)  op(e3, e1) = e0
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (223) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_56_6 = e0
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  op(e1, e3) = e0
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (63) with all_52_2, e0, e3, e1,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (19), (225) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  all_52_2 = e0
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (63) with all_52_8, e0, e1, e3,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (99), (221) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  all_52_8 = e0
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (226) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)   ~ (all_52_6 = e0)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (226) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)   ~ (all_52_14 = e0)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (227) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)   ~ (all_52_9 = e0)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (227) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)   ~ (all_52_11 = e0)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (231) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)   ~ (all_52_11 = e0)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (227) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)   ~ (all_52_12 = e0)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (233) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)   ~ (all_52_12 = e0)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_54_9 = e3
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (82), (235) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_52_6 = e3
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (188), (236) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  all_57_23 = e3
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (236) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)   ~ (all_52_7 = e3)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (238) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)   ~ (all_52_7 = e3)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (236) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)   ~ (all_52_14 = e3)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (240) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)   ~ (all_52_14 = e3)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e3)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  all_56_6 = e3 & op(e1, e3) = e3
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (243) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_56_6 = e3
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (16), (18), (23), (27),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (34), (35), (37), (40), (46),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (63), (64), (77), (79), (87), (94), (104),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (107), (113), (117), (118), (128), (130),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (136), (183), (244) are inconsistent by
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #593.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_56_7 = e3 & op(e1, e2) = e3
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (245) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  all_56_7 = e3
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  all_54_11 = e3
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (241), (247) are inconsistent by sub-proof
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1336.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)   ~ (all_54_11 = e3)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_54_11 = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (72), (250) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_52_14 = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (251) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_52_14 = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (252) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)   ~ (all_52_12 = e2)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25), (252) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)   ~ (all_52_13 = e2)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (241), (252) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)   ~ (e3 = e2)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (15), (16), (18), (23),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (27), (28), (29), (31), (32), (33), (34), (35),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (40), (45), (46), (47), (48), (60), (63),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (64), (69), (77), (79), (85), (87), (94), (96),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (104), (105), (107), (109), (112), (113), (115),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (117), (118), (120), (128), (130), (131), (136),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (183), (214), (220), (224), (246), (256) are
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #565.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_56_14 = e3 & op(e0, e1) = e3
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (258) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_56_14 = e3
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (92) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_54_3 = e3
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (119), (182), (260) are inconsistent by sub-proof
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #809.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)   ~ (all_54_3 = e3)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e2)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_56_0 = e2 & op(e3, e3) = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (264) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  op(e3, e3) = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (94), (183), (265) are inconsistent by
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1594.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_56_1 = e2 & op(e3, e2) = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (266) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_56_1 = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  op(e3, e2) = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (105) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (270) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_56_4 = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (220), (271) are inconsistent by sub-proof
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1394.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_56_5 = e2 & op(e2, e1) = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (272) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_56_5 = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  op(e2, e1) = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e2)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (16), (18), (23), (27), (29), (33), (40),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (63), (64), (69), (85), (94), (104), (105),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (109), (115), (117), (130), (136), (186), (224),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (246), (259), (274), (275) are inconsistent by
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #560.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e0) = e2)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  all_56_8 = e2 & op(e1, e1) = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (277) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  op(e1, e1) = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (46), (63), (117), (135), (220), (259),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (273), (278) are inconsistent by sub-proof #933.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_56_11 = e2 & op(e1, e0) = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (279) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  all_56_11 = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e1)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_56_0 = e1 & op(e3, e3) = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (282) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  op(e3, e3) = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (104), (130), (283) are inconsistent by
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1525.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  all_56_1 = e1 & op(e3, e2) = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (284) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_56_1 = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (285) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  e2 = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (286) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  all_56_11 = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (63), (79), (94), (117), (136), (224),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (246), (287) are inconsistent by sub-proof #824.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e1)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (288) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  all_56_4 = e1 & op(e3, e1) = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (289) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_56_4 = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (23), (27), (33), (40), (46), (63),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (64), (94), (105), (117), (136), (290) are
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1467.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_56_9 = e1 & op(e3, e0) = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (291) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_56_9 = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  op(e3, e0) = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (294) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (296) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_57_16 = e3
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (190), (297) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  all_52_4 = e3
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (191), (298) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  $false
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (299) is inconsistent.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (300) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  op(e3, e1) = e3
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (63), (99), (221), (301) are inconsistent by
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1577.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_17) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (303) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  op(e3, e0) = e3
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (63), (182), (304) are inconsistent by
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1615.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21) = all_57_7 & op(e2, all_57_29) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (305) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  all_57_16 = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)   ~ (all_57_29 = e3)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  op(e2, e3) = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (190), (306) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  all_52_4 = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (309) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)   ~ (all_52_12 = e2)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_56_0 = e1 & op(e3, e3) = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (312) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  op(e3, e3) = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (104), (130), (313) are inconsistent by
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1525.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_56_2 = e1 & op(e2, e3) = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (314) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  op(e2, e3) = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_56_1 = e1 & op(e3, e2) = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (317) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_56_1 = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (318) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  e2 = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (63), (79), (94), (117), (136), (224),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (246), (280), (319) are inconsistent by sub-proof
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #559.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  all_56_3 = e1 & op(e2, e2) = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (320) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  op(e2, e2) = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (128), (321) are inconsistent by
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1310.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_56_7 = e1 & op(e1, e2) = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (323) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_56_7 = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (16), (18), (23), (27),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (34), (35), (37), (40), (46),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (63), (64), (77), (79), (87), (94), (104),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (107), (112), (113), (117), (118), (128),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (130), (131), (136), (183), (324) are inconsistent
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #575.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_56_13 = e1 & op(e0, e2) = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (325) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_56_13 = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_54_3 = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (119), (253), (327) are inconsistent by sub-proof
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #748.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_54_3 = e1 | all_54_3 = e0
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_54_3 = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (119), (329) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  all_52_12 = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (330) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_52_12 = e1
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (331) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)   ~ (all_52_13 = e1)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (332) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)   ~ (all_52_13 = e1)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (23), (33), (45), (49), (63), (65), (66),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (98), (116), (121), (128), (246), (254), (267),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (274), (308), (315), (326), (333) are inconsistent
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #558.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_54_3 = e0
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (119), (234), (334) are inconsistent by sub-proof
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #828.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (16), (18), (23), (27), (29), (33),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (40), (46), (47), (48), (63), (64), (69), (85),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (94), (104), (105), (109), (115), (117), (118),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (130), (136), (183), (186), (220), (224),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (268), (274), (292), (335) are inconsistent by
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #556.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_19) = all_57_4 & op(e2, all_57_21) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (338) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  all_57_23 = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (237), (339) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  e3 = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (340) imply:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_56_14 = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (16), (18), (23), (27), (29), (33), (40),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (63), (64), (69), (85), (94), (104), (105),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (109), (115), (117), (130), (136), (186), (274),
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (341) are inconsistent by sub-proof #561.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_19) = all_57_4 & op(e2, all_57_20) =
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (342) implies:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  op(e0, e2) = e2
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (63), (109), (120), (268), (343) are
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1342.
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (225), (237), (345) are inconsistent
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #555.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (347) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  op(e2, e1) = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (117), (274), (348) are inconsistent by
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1148.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0))))
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (349) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (351) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_56_0 = e1 & op(e3, e3) = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (352) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  op(e3, e3) = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (104), (130), (353) are inconsistent by
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1525.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_56_2 = e1 & op(e2, e3) = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (354) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  all_56_2 = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22) = all_57_8 & op(e1, all_57_23) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (356) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  op(e1, e0) = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (36), (63), (357) are inconsistent by
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1609.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25) = all_57_12 & op(e0, all_57_26) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_25 = e0 & op(e3, e0) = e0) |
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0))
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (358) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)   ~ (all_57_15 = e0)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  op(e0, e0) = all_57_31
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  op(e0, all_57_31) = all_57_15
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_27 = e0 & op(e1, e0) = e0)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  all_57_31 = e0
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (363) imply:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  op(e0, e0) = all_57_15
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (214), (359), (364) are inconsistent by
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1605.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e0)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (366) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  op(e3, e0) = e0
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (63) with e0, e1, e0, e3,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (293), (367) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  e1 = e0
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (355), (368) imply:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  all_56_2 = e0
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (128), (369), (370) are inconsistent
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #554.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (371) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (372) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  op(e2, e1) = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (46), (63), (77), (94), (107), (117),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (369), (373) are inconsistent by sub-proof
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #603.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (374) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  all_56_10 = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (16), (18), (23), (27),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (29), (31), (32), (33), (34), (35), (37), (40),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (47), (48), (63), (64), (69), (77),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (79), (85), (87), (94), (96), (104), (105), (107),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (109), (112), (113), (115), (117), (118), (120),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (130), (131), (136), (183), (214), (224),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (246), (375) are inconsistent by sub-proof #553.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e0)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (63), (90), (116), (211), (376) are
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1317.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (16), (18), (23), (27), (29), (33),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (40), (46), (47), (48), (63), (64), (69), (85),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (94), (104), (105), (109), (115), (117), (118),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (130), (136), (183), (186), (220), (224),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (268), (274), (292), (377) are inconsistent by
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #556.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e1) = e2)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  all_56_8 = e2 & op(e1, e1) = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (379) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  op(e1, e1) = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (117), (136), (380) are inconsistent by
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1473.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  all_56_14 = e2 & op(e0, e1) = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (381) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  all_56_14 = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (16), (18), (23), (27), (29), (33), (40),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (46), (49), (63), (64), (66), (69), (85),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (92), (94), (98), (104), (105), (109), (115),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (116), (117), (119), (130), (136), (182), (186),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (253), (254), (382) are inconsistent by
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #551.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e2)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (16), (18), (23), (27),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (28), (29), (31), (32), (33), (34), (35), (37),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (40), (45), (46), (47), (48), (63), (64), (69),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (79), (85), (87), (94), (96), (104), (105),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (107), (109), (112), (113), (115), (117), (118),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (128), (130), (131), (136), (183), (214),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (224), (246), (383) are inconsistent by
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #566.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  all_56_15 = e3 & op(e0, e0) = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (384) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  op(e0, e0) = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (13), (14), (15), (16), (18),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (19), (23), (26), (27), (28), (29), (31), (32),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (33), (34), (35), (37), (40), (42), (45), (46),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (47), (48), (50), (59), (60), (62), (63), (64),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (67), (69), (70), (74), (77), (78), (79), (85),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (87), (88), (89), (90), (91), (94), (95), (96),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (100), (104), (105), (107), (109), (110), (111),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (113), (115), (116), (117), (118), (120),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (121), (124), (128), (130), (131), (134), (136),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (183), (187), (188), (190), (239), (385) are
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #521.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  all_54_11 = e1 | all_54_11 = e0
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (72), (211), (386) are inconsistent by
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1113.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e0) = e3)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (387) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  all_56_8 = e3 & op(e1, e1) = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (388) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  op(e1, e1) = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (63), (136), (389) are inconsistent by
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1541.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  all_56_11 = e3 & op(e1, e0) = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (390) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  all_56_11 = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (23), (27), (28), (33), (40), (46),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (64), (69), (79), (85), (90), (94), (96),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (104), (105), (112), (116), (117), (124), (128),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (130), (136), (183), (220), (224), (391), (392)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #519.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  all_56_7 = e3 & op(e1, e2) = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (394) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)  all_56_7 = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (15), (16), (18), (23),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (27), (28), (29), (31), (32), (33), (34), (35),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (40), (45), (46), (47), (48), (60), (63),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (64), (69), (77), (79), (85), (87), (90), (91),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (94), (96), (104), (105), (107), (109), (110),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (113), (115), (116), (117), (118), (120),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (124), (128), (130), (131), (135), (136), (183),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (186), (214), (220), (224), (391), (395) are
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #518.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  all_56_13 = e3 & op(e0, e2) = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (396) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)  all_56_13 = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (398) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  all_56_12 = e1 & op(e0, e3) = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (399) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  all_56_12 = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)  all_54_11 = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (241), (401) are inconsistent by sub-proof
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1336.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)   ~ (all_54_11 = e3)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (403) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)  all_54_11 = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (72), (404) imply:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)  all_52_14 = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (405) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  all_52_14 = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (406) imply:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)   ~ (all_52_12 = e2)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25), (406) imply:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)   ~ (all_52_13 = e2)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (241), (406) imply:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)   ~ (e3 = e2)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (410) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (411) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)  all_56_12 = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (400), (412) are inconsistent by sub-proof
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1383.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (413)  all_56_13 = e2 & op(e0, e2) = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (413) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (414)  all_56_13 = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (397), (414) are inconsistent by sub-proof
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1121.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (415)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (415) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (416)  all_56_14 = e2 & op(e0, e1) = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (416) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (417)  all_56_14 = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (16), (18), (23), (27), (29), (33), (40),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (44), (46), (49), (63), (64), (66), (69), (85),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (92), (94), (98), (104), (105), (109), (115),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (116), (117), (119), (130), (136), (182), (186),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (407), (408), (417) are inconsistent by
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #551.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (418)  all_56_15 = e2 & op(e0, e0) = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (418) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (419)  op(e0, e0) = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (48), (63), (419) are inconsistent by
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1511.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (420)  all_54_11 = e1 | all_54_11 = e0
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (72), (211), (420) are inconsistent by
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1113.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  all_56_13 = e1 & op(e0, e2) = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (421) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (422)  all_56_13 = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (422) imply:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (423)  e3 = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (46), (63), (79), (94), (112), (117),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (136), (224), (391), (423) are inconsistent by
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #549.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (424)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (16), (27), (40), (46), (63), (94),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (117), (136), (220), (424) are inconsistent
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #517.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (425)   ~ (all_54_9 = e3)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (426)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (425) imply:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (427)   ~ (all_52_6 = e3)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (428)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e3)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (428) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (429)  all_56_6 = e3 & op(e1, e3) = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (429) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (430)  all_56_6 = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (16), (18), (23), (27),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (34), (35), (37), (40), (46),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (63), (64), (77), (79), (87), (94), (104),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (107), (113), (117), (118), (128), (130),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (136), (183), (430) are inconsistent by
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #593.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (431)  all_56_7 = e3 & op(e1, e2) = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (431) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (432)  all_56_7 = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (433)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e2)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (94), (224), (432), (433) are inconsistent
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #825.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (434)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e0) = e2)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (434) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (435)  all_56_8 = e2 & op(e1, e1) = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (435) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (436)  op(e1, e1) = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (117), (136), (436) are inconsistent by
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1473.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (437)  all_56_11 = e2 & op(e1, e0) = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (437) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (438)  all_56_11 = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (439)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (439) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (440)  all_56_9 = e3 & op(e3, e0) = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (16), (18), (23), (27),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (29), (31), (32), (33), (34), (35), (37), (40),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (47), (48), (63), (64), (69), (77),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (79), (85), (87), (94), (104), (105), (107),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (109), (112), (113), (115), (117), (118), (120),
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (130), (131), (136), (183), (432), (440)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #570.
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (441)  all_56_10 = e3 & op(e2, e0) = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (441) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (442)  all_56_10 = e3
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (443)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (443) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (444)  all_56_2 = e1 & op(e2, e3) = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (444) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (445)  all_56_2 = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (446)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (446) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (447)  all_56_9 = e1 & op(e3, e0) = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (447) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (448)  all_56_9 = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (449)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (449) gives:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (450)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (450) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (451)  all_56_2 = e2
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (451) imply:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (452)  e2 = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (452) implies:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (453)  e2 = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (438), (453) imply:
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (454)  all_56_11 = e1
% 185.00/29.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (48), (63), (91), (94), (117), (442), (448),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (454) are inconsistent by sub-proof #954.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (455)  all_56_3 = e2 & op(e2, e2) = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (455) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (456)  op(e2, e2) = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (63), (128), (456) are inconsistent by
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1586.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (457)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (457) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (458)  all_56_5 = e2 & op(e2, e1) = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (458) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (459)  op(e2, e1) = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (426) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (460)  all_54_9 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (82), (460) imply:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (461)  all_52_6 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (461) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (462)  all_52_6 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (462) imply:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (463)   ~ (all_52_4 = e2)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (462) imply:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (464)   ~ (all_52_7 = e2)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (464) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (465)   ~ (all_52_7 = e2)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (50) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (466)  all_54_1 = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (134), (466) imply:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (467)  all_52_4 = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (191), (467) imply:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (468)  $false
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (468) is inconsistent.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (469)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (469) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (470)  all_54_1 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (134), (470) imply:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (471)  all_52_4 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (463), (471) imply:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (472)  $false
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (472) is inconsistent.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (473)  all_54_1 = e1 | all_54_1 = e0
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (473) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (474)  all_54_1 = e1
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (134), (474) imply:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (475)  all_52_4 = e1
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (475) imply:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (476)   ~ (all_52_7 = e1)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (476) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (477)   ~ (all_52_7 = e1)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (12), (23), (33), (42), (59), (63), (65),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (67), (80), (114), (127), (132), (232), (459),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (465), (477) are inconsistent by sub-proof #516.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (478)  all_54_1 = e0
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (134), (478) imply:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (479)  all_52_4 = e0
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (479) imply:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (480)  $false
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (480) is inconsistent.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (481)  all_54_9 = e1 | all_54_9 = e0
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (82), (192), (481) are inconsistent by
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1320.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (482)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (482) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (483)  all_56_10 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (442), (483) are inconsistent by sub-proof
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #958.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (484)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (484) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (485)  all_56_10 = e1
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (16), (18), (23), (27),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (29), (31), (32), (33), (34), (35), (37), (40),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (47), (48), (63), (64), (69), (77),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (79), (85), (87), (94), (96), (104), (105), (107),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (109), (112), (113), (115), (117), (118), (120),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (130), (131), (136), (183), (214), (224),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (432), (485) are inconsistent by sub-proof #553.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (486)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (40), (63), (79), (94), (117), (136),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (432), (486) are inconsistent by sub-proof
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #567.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (487)  all_56_3 = e1 & op(e2, e2) = e1
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (487) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (488)  op(e2, e2) = e1
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (128), (488) are inconsistent by
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1310.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (489)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (489) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (490)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (490) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (491)  op(e2, e1) = e1
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (492)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (492) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (493)  all_56_9 = e1 & op(e3, e0) = e1
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (493) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (494)  all_56_9 = e1
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (495)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (495) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (496)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (496) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (497)  all_56_2 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (498)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (498) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (499)  all_56_4 = e3 & op(e3, e1) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (499) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (500)  all_56_4 = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (16), (18), (23), (27), (29), (33), (40),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (63), (64), (69), (85), (94), (104), (105),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (109), (115), (117), (130), (136), (186), (500)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #563.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (501)  all_56_5 = e3 & op(e2, e1) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (501) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (502)  op(e2, e1) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (63), (491), (502) are inconsistent by
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1456.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (503)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (503) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (504)  all_56_8 = e3 & op(e1, e1) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (504) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (505)  op(e1, e1) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (18), (27), (46), (48), (63), (78),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (91), (94), (107), (117), (224), (432), (442),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (491), (494), (497), (505) are inconsistent by
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #515.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (506)  all_56_14 = e3 & op(e0, e1) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (506) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (507)  all_56_14 = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (105) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (508)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (508) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (509)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (509) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (510)  all_56_4 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (220), (510) imply:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (511)  e2 = e0
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (511) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (512)  e2 = e0
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (512) imply:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (513)  all_56_2 = e0
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (46), (63), (77), (94), (107), (117),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (491), (513) are inconsistent by sub-proof
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #603.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (514)  all_56_5 = e2 & op(e2, e1) = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (514) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (515)  op(e2, e1) = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (117), (491), (515) are inconsistent by
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1148.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (516)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e1) = e2)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (516) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (517)  all_56_8 = e2 & op(e1, e1) = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (517) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (518)  op(e1, e1) = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18), (27), (34), (37), (40), (46), (63),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (91), (94), (112), (113), (117), (216), (442),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (494), (518) are inconsistent by sub-proof #919.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (519)  all_56_14 = e2 & op(e0, e1) = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (519) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (520)  all_56_14 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (507), (520) are inconsistent by sub-proof
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1512.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (521)  all_56_3 = e2 & op(e2, e2) = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (521) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (522)  op(e2, e2) = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (63), (128), (522) are inconsistent by
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1586.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (523)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (94), (117), (442), (491), (523) are
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #514.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (524)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (524) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (525)  all_56_10 = e1
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (46), (63), (77), (78), (94), (107),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (117), (128), (491), (525) are inconsistent by
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #786.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (526)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (40), (63), (79), (94), (117), (136),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (224), (432), (526) are inconsistent by sub-proof
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #567.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (527)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (527) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (528)  all_56_10 = e1
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (16), (18), (23), (27),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (29), (31), (32), (33), (34), (35), (37), (40),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (47), (48), (63), (64), (69), (77),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (79), (85), (87), (94), (96), (104), (105), (107),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (109), (112), (113), (115), (117), (118), (120),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (130), (131), (136), (183), (214), (224),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (432), (528) are inconsistent by sub-proof #553.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (529)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (529) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (530)  all_56_11 = e3 & op(e1, e0) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (530) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (531)  all_56_11 = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (15), (16), (18), (23),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (27), (28), (29), (31), (32), (33), (34), (35),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (40), (45), (46), (47), (48), (60), (63),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (64), (69), (77), (79), (85), (87), (90), (91),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (94), (96), (104), (105), (107), (109), (110),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (113), (115), (116), (117), (118), (120),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (124), (128), (130), (131), (135), (136), (183),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (186), (214), (220), (224), (432), (531) are
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #518.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (532)  all_56_15 = e3 & op(e0, e0) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (532) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (533)  op(e0, e0) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (63), (214), (533) are inconsistent by
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1540.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (534)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e0) = e3)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (534) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (535)  all_56_8 = e3 & op(e1, e1) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (535) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (536)  op(e1, e1) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (63), (136), (536) are inconsistent by
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1541.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (537)  all_56_11 = e3 & op(e1, e0) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (537) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (538)  all_56_11 = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (539)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e2)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (539) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (540)  all_56_6 = e2 & op(e1, e3) = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (540) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (541)  all_56_6 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (224), (541) are inconsistent by sub-proof
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1592.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (542)  all_56_7 = e2 & op(e1, e2) = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (542) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (543)  all_56_7 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (544)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (23), (27), (28), (33), (40), (46),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (64), (69), (79), (85), (90), (94), (96),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (104), (105), (112), (116), (117), (124), (128),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (130), (136), (183), (220), (224), (538), (544)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #519.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (545)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (545) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (546)  all_56_7 = e3 & op(e1, e2) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (546) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (547)  all_56_7 = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (15), (16), (18), (23),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (27), (28), (29), (31), (32), (33), (34), (35),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (40), (45), (46), (47), (48), (60), (63),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (64), (69), (77), (79), (85), (87), (90), (91),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (94), (96), (104), (105), (107), (109), (110),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (113), (115), (116), (117), (118), (120),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (124), (128), (130), (131), (135), (136), (183),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (186), (214), (220), (224), (538), (547) are
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #518.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (548)  all_56_13 = e3 & op(e0, e2) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (548) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (549)  all_56_13 = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (550)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (550) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (551)  all_56_12 = e1 & op(e0, e3) = e1
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (551) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (552)  all_56_12 = e1
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (553)  op(e0, e3) = e1
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (554)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (63), (79), (94), (117), (136), (224),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (538), (543), (549), (552), (554) are inconsistent
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #524.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (555)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (555) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (556)  all_56_14 = e2 & op(e0, e1) = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (556) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (557)  all_56_14 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (426) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (558)  all_54_9 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (82), (558) imply:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (559)  all_52_6 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (559) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (560)  all_52_6 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (560) imply:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (561)   ~ (all_52_4 = e2)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (427), (560) imply:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (562)   ~ (e3 = e2)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (563)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (563) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (564)  all_56_2 = e3 & op(e2, e3) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (564) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (565)  all_56_2 = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (40), (63), (94), (117), (183), (224),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (552), (565) are inconsistent by sub-proof #1590.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (566)  all_56_3 = e3 & op(e2, e2) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (566) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (567)  op(e2, e2) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (63), (128), (567) are inconsistent by
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1015.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (568)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (568) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (569)  all_56_5 = e3 & op(e2, e1) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (569) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (570)  op(e2, e1) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (571)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (571) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (572)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (572) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (573)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (573) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (574)   ~ (all_57_28 = e2)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (575)  op(e3, e2) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (576)  op(e3, e3) = all_57_28
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (26), (60), (62), (63), (89), (95), (104),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (109), (111), (225), (553), (574), (575), (576)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1284.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (577)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (577) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (578)  op(e3, e1) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (63), (99), (221), (578) are inconsistent by
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1577.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (579)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (579) gives:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (580)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_17) =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (580) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (581)  op(e0, e3) = e3
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (46), (60), (63), (87), (117), (549),
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (557), (581) are inconsistent by sub-proof #1457.
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (582)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21) = all_57_7 & op(e2, all_57_29) =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (582) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (583)  all_57_16 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (190), (583) imply:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (584)  all_52_4 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (584) implies:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (585)  all_52_4 = e2
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (585) imply:
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (586)  $false
% 185.00/29.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (586) is inconsistent.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (587)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (587) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (588)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (94), (128), (570), (588) are inconsistent
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #513.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (589)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (589) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (590)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (590) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (591)  op(e3, e1) = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (221), (591) are inconsistent by
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1571.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (592)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (36), (46), (63), (90), (116), (211),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (553), (570), (592) are inconsistent by sub-proof
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1211.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (593)  all_56_10 = e3 & op(e2, e0) = e3
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (593) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (594)  all_56_10 = e3
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (595)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (595) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (596)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (596) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (597)  all_56_9 = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (598)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (598) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (599)  all_56_0 = e2 & op(e3, e3) = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (599) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (600)  op(e3, e3) = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (94), (183), (600) are inconsistent by
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1594.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (601)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (601) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (602)  all_56_2 = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (603)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (603) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (604)  all_56_9 = e1 & op(e3, e0) = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (604) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (605)  all_56_9 = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (597), (605) imply:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (606)  e2 = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (543), (606) imply:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (607)  all_56_7 = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (63), (79), (94), (117), (136), (224),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (538), (607) are inconsistent by sub-proof #1007.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (608)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (608) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (609)  all_56_10 = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (609) imply:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (610)  e3 = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (46), (51), (60), (63), (94), (186), (224),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (553), (602), (610) are inconsistent by sub-proof
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #512.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (611)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (27), (40), (46), (63), (79), (90), (94),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (116), (117), (124), (136), (224), (538),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (597), (611) are inconsistent by sub-proof #520.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (612)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (612) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (613)  all_56_6 = e2 & op(e1, e3) = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (23), (27), (33), (40), (46), (63),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (64), (69), (85), (94), (104), (105), (117),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (130), (136), (183), (220), (224), (597), (613)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #571.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (614)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (63), (79), (94), (117), (136), (224),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (538), (543), (552), (614) are inconsistent by
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #525.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (615)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (594), (615) are inconsistent by sub-proof
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1502.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (616)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (48), (63), (94), (538), (616) are
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1158.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (617)  all_54_9 = e1 | all_54_9 = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (82), (192), (617) are inconsistent by
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1320.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (618)  all_56_15 = e2 & op(e0, e0) = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (618) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (619)  op(e0, e0) = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (48), (63), (619) are inconsistent by
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1511.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (620)  all_56_13 = e1 & op(e0, e2) = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (620) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (621)  all_56_13 = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (549), (621) imply:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (622)  e3 = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (46), (63), (79), (94), (112), (117),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (136), (224), (538), (622) are inconsistent by
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #549.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (623)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (16), (27), (40), (46), (63), (94),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (117), (136), (220), (623) are inconsistent
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #517.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (624)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e1, e0) = e2)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (624) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (625)  all_56_8 = e2 & op(e1, e1) = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (625) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (626)  op(e1, e1) = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (117), (136), (626) are inconsistent by
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1473.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (627)  all_56_11 = e2 & op(e1, e0) = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (627) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (628)  all_56_11 = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (538), (628) are inconsistent by sub-proof
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1482.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (629)  all_56_7 = e0 & op(e1, e2) = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (63), (113), (629) are inconsistent by
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1199.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (630)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (63), (136), (211), (630) are
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #511.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | |   (631)  all_56_9 = e0 & op(e3, e0) = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (631) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | |   (632)  all_56_9 = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (633)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e0)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (633) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (634)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (634) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (635)  all_56_4 = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (23), (27), (33), (40), (46), (63),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            (64), (69), (85), (94), (104), (105), (117),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            (130), (136), (183), (632), (635) are inconsistent
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #572.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (636)  all_56_5 = e0 & op(e2, e1) = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (33), (63), (636) are inconsistent by
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1476.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (637)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (637) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (638)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (638) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (639)  op(e1, e1) = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (136), (639) are inconsistent by
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1619.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (640)  all_56_14 = e0 & op(e0, e1) = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (640) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (641)  all_56_14 = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (642)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (642) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (643)  all_56_4 = e3 & op(e3, e1) = e3
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (643) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (644)  all_56_4 = e3
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (27), (40), (46), (63), (69), (85),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (94), (104), (105), (117), (130), (136), (186),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (632), (641), (644) are inconsistent by sub-proof
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #564.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (645)  all_56_5 = e3 & op(e2, e1) = e3
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (645) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (646)  all_56_5 = e3
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (647)  op(e2, e1) = e3
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (648)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e0)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (648) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (649)  all_56_0 = e0 & op(e3, e3) = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (649) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (650)  op(e3, e3) = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (63), (104), (650) are inconsistent by
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1624.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (651)  all_56_2 = e0 & op(e2, e3) = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (651) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (652)  all_56_2 = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (653)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e1)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (653) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (654)  all_56_0 = e1 & op(e3, e3) = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (654) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (655)  op(e3, e3) = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (104), (130), (655) are inconsistent by
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1525.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (656)  all_56_1 = e1 & op(e3, e2) = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (656) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (657)  all_56_1 = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (658)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e2)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (658) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (659)  all_56_0 = e2 & op(e3, e3) = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (659) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (660)  op(e3, e3) = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (94), (183), (660) are inconsistent by
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1594.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (661)  all_56_1 = e2 & op(e3, e2) = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (657), (661) are inconsistent by sub-proof
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1431.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (662)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e2)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (662) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (663)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (663) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (664)  all_56_4 = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (665)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (665) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (666)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (666) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (667)  all_56_6 = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (668)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (128), (652), (668) are inconsistent
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #554.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (669)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (669) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (670)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (670) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (671)  op(e2, e1) = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (63), (647), (671) are inconsistent by
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1456.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (672)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (672) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (673)  all_56_10 = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (674)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (104), (130), (652), (674) are
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1523.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (675)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (675) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (676)  all_56_6 = e1 & op(e1, e3) = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (667), (676) are inconsistent by sub-proof
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1522.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (677)  all_56_12 = e1 & op(e0, e3) = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (677) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (678)  all_56_12 = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (679)  op(e0, e3) = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (16), (18), (23), (27),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (28), (29), (31), (32), (33), (34), (35), (37),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (40), (46), (48), (51), (60), (63), (64), (69),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (79), (85), (87), (90), (91), (94), (96),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (104), (105), (107), (109), (110), (112), (113),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (115), (116), (117), (118), (124), (128), (130),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (136), (183), (186), (214), (632), (641),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (646), (647), (652), (664), (673), (678), (679)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #505.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (680)  all_56_7 = e0 & op(e1, e2) = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (63), (113), (680) are inconsistent by
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1199.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (681)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (681) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (682)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (682) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (683)  op(e1, e1) = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (136), (683) are inconsistent by
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1619.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (684)  all_56_11 = e0 & op(e1, e0) = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (684) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (685)  all_56_11 = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (16), (18), (23), (27),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (28), (31), (32), (33), (34), (35), (37), (40),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (48), (63), (64), (77), (79), (87), (91),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (94), (96), (104), (105), (107), (112), (113),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (117), (118), (128), (130), (131), (136), (183),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (214), (632), (646), (647), (652), (685) are
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #506.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (686)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (632), (686) are inconsistent by sub-proof
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #973.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (687)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e1)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (687) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (688)  all_56_4 = e1 & op(e3, e1) = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (688) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (689)  all_56_4 = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (63), (94), (105), (117), (136), (641),
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (646), (689) are inconsistent by sub-proof #1471.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (690)  all_56_9 = e1 & op(e3, e0) = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (632), (690) are inconsistent by sub-proof
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1126.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (691)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (691) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (692)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (692) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (693)  all_56_6 = e0
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (694)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e1)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (694) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (695)  all_56_0 = e1 & op(e3, e3) = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (695) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (696)  op(e3, e3) = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (104), (130), (696) are inconsistent by
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1525.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (697)  all_56_1 = e1 & op(e3, e2) = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (697) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (698)  all_56_1 = e1
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (699)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e2)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (94), (117), (183), (698), (699) are
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1395.
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (700)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e2)
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (700) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (701)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (701) implies:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (702)  all_56_4 = e2
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (703)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.00/29.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (703) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (704)  all_56_9 = e1 & op(e3, e0) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (632), (704) are inconsistent by sub-proof
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1126.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (705)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (705) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (706)  all_56_10 = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (707)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (707) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (708)  all_56_12 = e3 & op(e0, e3) = e3
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (708) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (709)  all_56_12 = e3
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (710)  op(e0, e3) = e3
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (14), (16), (18), (23), (27), (29),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (35), (40), (46), (48), (60),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (64), (69), (77), (85), (87), (94), (104),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (107), (109), (115), (117), (118), (128),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (130), (131), (136), (183), (709), (710) are
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #577.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (711)  all_56_13 = e3 & op(e0, e2) = e3
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (711) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (712)  all_56_13 = e3
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (713)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (713) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (714)  all_56_9 = e3 & op(e3, e0) = e3
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (632), (714) are inconsistent by sub-proof
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #504.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (715)  all_56_10 = e3 & op(e2, e0) = e3
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (706), (715) are inconsistent by sub-proof
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1141.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (716)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (716) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (717)  all_56_11 = e3 & op(e1, e0) = e3
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (717) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (718)  all_56_11 = e3
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (719)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (719) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (720)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (720) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (721)  all_56_2 = e2
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (722)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (722) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (723)  all_56_12 = e1 & op(e0, e3) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (723) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (724)  all_56_12 = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (725)  op(e0, e3) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (726)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (726) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (727)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (727) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (728)  all_56_9 = e2
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (632), (728) imply:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (729)  e2 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (729) imply:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (730)  all_56_2 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (16), (18), (23), (27),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (28), (29), (31), (32), (33), (34), (35), (37),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (40), (46), (48), (51), (60), (63), (64), (69),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (79), (85), (87), (90), (91), (94), (96),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (104), (105), (107), (109), (110), (112), (113),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (115), (116), (117), (118), (124), (128), (130),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (131), (136), (183), (186), (214), (632), (641),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (646), (647), (702), (706), (724), (725), (730)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #505.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (731)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (731) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (732)  all_56_10 = e2
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (18), (27), (28), (34), (37), (40),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (63), (79), (94), (112), (113), (117),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (136), (632), (732) are inconsistent by sub-proof
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #539.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (733)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (48), (63), (94), (718), (733) are
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1158.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (734)  all_56_13 = e1 & op(e0, e2) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (734) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (735)  all_56_13 = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (735) imply:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (736)  e3 = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (46), (63), (79), (94), (112), (117),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (136), (693), (718), (736) are inconsistent by
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #549.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (737)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (16), (18), (23), (27), (33), (40),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (63), (64), (94), (105), (117), (136), (737)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #595.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (738)  all_56_3 = e2 & op(e2, e2) = e2
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (738) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (739)  op(e2, e2) = e2
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (63), (128), (739) are inconsistent by
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1586.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (740)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (18), (27), (28), (34), (37), (40),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (63), (79), (94), (112), (113), (117),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (136), (632), (646), (740) are inconsistent by
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #503.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (741)  all_56_15 = e3 & op(e0, e0) = e3
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (741) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (742)  op(e0, e0) = e3
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (15), (16), (18), (23),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (27), (31), (32), (33), (34), (35), (37), (40),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (48), (59), (63), (64), (77), (79),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (87), (94), (104), (105), (107), (112), (113),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (117), (118), (120), (124), (128), (130), (131),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (136), (183), (712), (742) are inconsistent by
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #522.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (743)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (743) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (744)  all_56_14 = e3 & op(e0, e1) = e3
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (641), (744) are inconsistent by sub-proof
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #530.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (745)  all_56_15 = e3 & op(e0, e0) = e3
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (745) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (746)  op(e0, e0) = e3
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (63), (214), (746) are inconsistent by
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1540.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (747)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (747) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (748)  all_56_11 = e1 & op(e1, e0) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (748) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (749)  all_56_11 = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (46), (63), (79), (94), (112), (117),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (136), (693), (749) are inconsistent by sub-proof
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #823.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (750)  all_56_15 = e1 & op(e0, e0) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (750) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (751)  op(e0, e0) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (63), (751) are inconsistent by
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1516.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (752)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (752) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (753)  all_56_9 = e2
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (632), (753) are inconsistent by sub-proof
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1570.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (754)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e1)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (754) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (755)  all_56_4 = e1 & op(e3, e1) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (755) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (756)  all_56_4 = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (63), (94), (105), (117), (136), (641),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (646), (756) are inconsistent by sub-proof #1471.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (757)  all_56_9 = e1 & op(e3, e0) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (757) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (758)  all_56_9 = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (632), (758) are inconsistent by sub-proof
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1484.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (759)  all_56_12 = e0 & op(e0, e3) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (14), (16), (18), (23), (27), (29),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (35), (40), (46), (48), (60),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (64), (69), (77), (85), (87), (94), (104),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (107), (109), (110), (115), (117), (118),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (130), (131), (136), (183), (214), (759)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #500.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (760)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (46), (63), (136), (641), (760) are
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1469.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | |   (761)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (761) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | |   (762)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | |              e1) = e0)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | |   (763)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | |              e0) = e0)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | |   (764)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (63), (104), (109), (115), (764) are
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1060.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | |   (765)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (765) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | |   (766)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (766) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | |   (767)  all_56_4 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (768)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e0)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (768) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (769)  all_56_0 = e0 & op(e3, e3) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (769) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (770)  op(e3, e3) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (63), (104), (770) are inconsistent by
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1624.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (771)  all_56_2 = e0 & op(e2, e3) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (771) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (772)  all_56_2 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (773)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (773) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (774)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (774) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (775)  all_56_6 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (15), (16), (18), (23),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (27), (28), (29), (31), (32), (33), (34), (35),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (40), (45), (46), (47), (48), (59), (60),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (64), (69), (77), (79), (85), (87), (90),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (91), (94), (96), (104), (105), (107), (109),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (110), (112), (113), (115), (116), (117), (118),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (124), (128), (130), (131), (136), (183),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (186), (214), (762), (763), (767), (775) are
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #496.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (776)  all_56_7 = e0 & op(e1, e2) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (63), (113), (776) are inconsistent by
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1199.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (777)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (777) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (778)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (778) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (779)  op(e1, e1) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (136), (779) are inconsistent by
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1619.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (780)  all_56_11 = e0 & op(e1, e0) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (780) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (781)  all_56_11 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (15), (16), (18), (23),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (27), (28), (29), (31), (32), (33), (34), (35),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (40), (45), (46), (47), (48), (51), (59),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (63), (64), (69), (77), (79), (85), (87),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (91), (94), (96), (104), (105), (107),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (109), (110), (112), (113), (115), (116), (117),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (118), (120), (124), (128), (130), (131), (136),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (183), (186), (214), (762), (763), (767), (772),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (781) are inconsistent by sub-proof #492.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (782)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (782) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (783)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (783) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (784)  all_56_6 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (15), (16), (18), (23),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |            (27), (28), (29), (31), (32), (33), (34), (35),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (40), (45), (46), (47), (48), (59), (60),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (64), (69), (77), (79), (85), (87), (90),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |            (91), (94), (96), (104), (105), (107), (109),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |            (110), (112), (113), (115), (116), (117), (118),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (124), (128), (130), (131), (136), (183),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |            (186), (214), (762), (763), (767), (784) are
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #496.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (785)  all_56_12 = e0 & op(e0, e3) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (785) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (786)  all_56_12 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (787)  op(e0, e3) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (788)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (14), (16), (18), (23), (27), (29),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (35), (40), (46), (48), (60),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (64), (69), (77), (85), (87), (94), (104),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (107), (109), (110), (115), (117), (118),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (130), (131), (136), (183), (214), (786),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (787), (788) are inconsistent by sub-proof #501.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (789)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (16), (27), (40), (46), (63), (94),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (117), (136), (767), (789) are inconsistent
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #517.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | |   (790)  all_56_9 = e0 & op(e3, e0) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (790) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | |   (791)  all_56_9 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (792)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e1)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (792) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (793)  all_56_0 = e1 & op(e3, e3) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (793) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (794)  op(e3, e3) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (104), (130), (794) are inconsistent by
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1525.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (795)  all_56_1 = e1 & op(e3, e2) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (795) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (796)  all_56_1 = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (797)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e0)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (797) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (798)  all_56_0 = e0 & op(e3, e3) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (798) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (799)  op(e3, e3) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (63), (104), (799) are inconsistent by
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1624.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (800)  all_56_2 = e0 & op(e2, e3) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (800) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (801)  all_56_2 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (802)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (802) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (803)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (15), (16), (18), (23),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (27), (28), (29), (31), (32), (33), (34), (35),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (40), (45), (46), (47), (48), (59), (60),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (64), (69), (77), (79), (85), (87), (90),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (91), (94), (96), (104), (105), (107), (109),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (110), (112), (113), (115), (116), (117), (118),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (124), (128), (130), (131), (136), (183),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (186), (214), (762), (763), (791), (803) are
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #490.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (804)  all_56_7 = e0 & op(e1, e2) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (63), (113), (804) are inconsistent by
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1199.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (805)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (805) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (806)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (806) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (807)  op(e1, e1) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (136), (807) are inconsistent by
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1619.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (808)  all_56_11 = e0 & op(e1, e0) = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (808) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (809)  all_56_11 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (810)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (104), (130), (801), (810) are
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #602.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (811)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (811) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (812)  all_56_6 = e1 & op(e1, e3) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (812) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (813)  all_56_6 = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (814)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e2)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (94), (117), (183), (796), (814) are
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1395.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (815)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e2)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (815) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (816)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (816) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (817)  all_56_4 = e2
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (818)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (818) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (819)  all_56_2 = e1 & op(e2, e3) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (819) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (820)  all_56_2 = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (801), (820) imply:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (821)  e1 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (821) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (822)  e1 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (813), (822) imply:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (823)  all_56_6 = e0
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (15), (16), (18), (23),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (27), (28), (29), (31), (32), (33), (34), (35),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (40), (45), (46), (47), (48), (59), (60),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (64), (69), (77), (79), (85), (87), (90),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (91), (94), (96), (104), (105), (107), (109),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (110), (112), (113), (115), (116), (117), (118),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (124), (128), (130), (131), (136), (183),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (186), (214), (762), (763), (791), (817), (823)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #491.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (824)  all_56_3 = e1 & op(e2, e2) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (824) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (825)  op(e2, e2) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (128), (825) are inconsistent by
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1310.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (826)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (826) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (827)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (827) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (828)  op(e2, e1) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (46), (63), (77), (94), (107), (117),
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (801), (828) are inconsistent by sub-proof
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #603.
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (829)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (829) implies:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (830)  all_56_10 = e1
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (831)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 185.00/29.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (14), (16), (18), (23), (27), (29),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (40), (46), (48), (63), (64),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (69), (77), (85), (87), (94), (104), (105), (109),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (115), (117), (118), (128), (130), (131), (136),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (183), (186), (830), (831) are inconsistent by
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #489.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (832)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (832) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (833)  all_56_5 = e3 & op(e2, e1) = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (833) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (834)  all_56_5 = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (15), (16), (18), (23),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (27), (28), (29), (31), (32), (33), (34), (35),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (40), (45), (46), (47), (48), (51), (59),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (63), (64), (69), (77), (79), (85), (87),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (91), (94), (96), (104), (105), (107),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (109), (110), (112), (113), (115), (116), (117),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (118), (120), (124), (128), (130), (131), (136),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (183), (186), (214), (762), (763), (791), (801),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (809), (817), (834) are inconsistent by sub-proof
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #488.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (835)  all_56_10 = e3 & op(e2, e0) = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (830), (835) are inconsistent by sub-proof
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1141.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (836)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (836) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (837)  all_56_9 = e2
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (791), (837) are inconsistent by sub-proof
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1570.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (838)  all_56_12 = e1 & op(e0, e3) = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (838) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (839)  all_56_12 = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (840)  op(e0, e3) = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (841)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e2)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (94), (117), (183), (796), (841) are
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1395.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (842)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e2)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (842) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (843)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (843) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (844)  all_56_4 = e2
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (845)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (128), (801), (845) are inconsistent
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #607.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (846)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (846) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (847)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (847) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (848)  op(e2, e1) = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (46), (63), (77), (94), (107), (117),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (801), (848) are inconsistent by sub-proof
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #603.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (849)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (849) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (850)  all_56_10 = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (851)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (14), (16), (18), (23), (27), (29),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (40), (46), (48), (63), (64),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (69), (77), (85), (87), (94), (104), (105), (109),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (115), (117), (118), (128), (130), (131), (136),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (183), (186), (850), (851) are inconsistent by
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #489.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (852)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (852) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (853)  all_56_5 = e3 & op(e2, e1) = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (853) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (854)  all_56_5 = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (15), (16), (18), (23),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (27), (28), (29), (31), (32), (33), (34), (35),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (40), (45), (46), (47), (48), (51), (59),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (63), (64), (69), (77), (79), (85), (87),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (91), (94), (96), (104), (105), (107),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (109), (110), (112), (113), (115), (116), (117),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (118), (120), (124), (128), (130), (131), (136),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (183), (186), (214), (762), (763), (791), (801),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (809), (844), (854) are inconsistent by sub-proof
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #488.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (855)  all_56_10 = e3 & op(e2, e0) = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (855) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (856)  all_56_10 = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (850), (856) imply:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (857)  e3 = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (186), (857) imply:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (858)  all_56_0 = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (31), (40), (46), (51), (60), (63), (94),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (117), (801), (839), (840), (858) are inconsistent
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #509.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (859)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (859) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (860)  all_56_9 = e2
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (791), (860) are inconsistent by sub-proof
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1570.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (861)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (861) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (862)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (15), (16), (18), (23),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (27), (28), (29), (31), (32), (33), (34), (35),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (37), (40), (45), (46), (47), (48), (59), (60),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (64), (69), (77), (79), (85), (87), (90),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (91), (94), (96), (104), (105), (107), (109),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (110), (112), (113), (115), (116), (117), (118),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (124), (128), (130), (131), (136), (183),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (186), (214), (762), (763), (791), (862) are
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #490.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (863)  all_56_12 = e0 & op(e0, e3) = e0
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (14), (16), (18), (23), (27), (29),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (31), (32), (33), (35), (40), (46), (48), (60),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (63), (64), (69), (77), (85), (87), (94), (104),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (105), (107), (109), (110), (115), (117), (118),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (130), (131), (136), (183), (214), (863)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #500.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (864)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e1)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (23), (27), (33), (40), (46), (63),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | |            (64), (94), (105), (117), (136), (791), (864) are
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #573.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | |   (865)  all_32_2 = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (76), (865) imply:
% 185.00/29.72  | | | | | | | | | | | | | | | | | |   (866)  all_6_2 = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | REDUCE: (84), (866) imply:
% 185.00/29.72  | | | | | | | | | | | | | | | | | |   (867)   ~ (all_52_7 = e3)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | REDUCE: (4), (866) imply:
% 185.00/29.72  | | | | | | | | | | | | | | | | | |   (868)  op(e0, e0) = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (13), (14), (15), (16), (18),
% 185.00/29.72  | | | | | | | | | | | | | | | | | |            (19), (23), (26), (27), (28), (29), (31), (32),
% 185.00/29.72  | | | | | | | | | | | | | | | | | |            (33), (34), (35), (37), (40), (42), (45), (46),
% 185.00/29.72  | | | | | | | | | | | | | | | | | |            (47), (48), (50), (59), (60), (62), (63), (64),
% 185.00/29.72  | | | | | | | | | | | | | | | | | |            (67), (69), (70), (74), (77), (78), (79), (85),
% 185.00/29.72  | | | | | | | | | | | | | | | | | |            (87), (88), (89), (90), (91), (94), (95), (96),
% 185.00/29.72  | | | | | | | | | | | | | | | | | |            (100), (104), (105), (107), (109), (110), (111),
% 185.00/29.72  | | | | | | | | | | | | | | | | | |            (112), (113), (115), (116), (117), (118), (120),
% 185.00/29.72  | | | | | | | | | | | | | | | | | |            (121), (124), (128), (130), (131), (134), (136),
% 185.00/29.72  | | | | | | | | | | | | | | | | | |            (183), (187), (188), (190), (867), (868) are
% 185.00/29.72  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #521.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | |   (869)  all_56_2 = e3 & op(e2, e3) = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | ALPHA: (869) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | |   (870)  all_56_2 = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (14), (16), (18), (23), (27), (29),
% 185.00/29.72  | | | | | | | | | | | | | | | | |            (31), (32), (33), (35), (40), (46), (48), (63),
% 185.00/29.72  | | | | | | | | | | | | | | | | |            (64), (69), (77), (85), (87), (94), (104), (105),
% 185.00/29.72  | | | | | | | | | | | | | | | | |            (109), (115), (117), (118), (128), (130), (131),
% 185.00/29.72  | | | | | | | | | | | | | | | | |            (136), (183), (870) are inconsistent by sub-proof
% 185.00/29.72  | | | | | | | | | | | | | | | | |            #550.
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | |   (871)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 185.00/29.72  | | | | | | | | | | | | | | | |            e3 & op(e0, e3) = e3)
% 185.00/29.72  | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | BETA: splitting (871) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | |   (872)  all_56_6 = e3 & op(e1, e3) = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | ALPHA: (872) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | |   (873)  all_56_6 = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (16), (18), (23), (27),
% 185.00/29.72  | | | | | | | | | | | | | | | | |            (31), (32), (33), (34), (35), (37), (40), (46),
% 185.00/29.72  | | | | | | | | | | | | | | | | |            (48), (63), (64), (77), (79), (87), (94), (104),
% 185.00/29.72  | | | | | | | | | | | | | | | | |            (105), (107), (113), (117), (118), (128), (130),
% 185.00/29.72  | | | | | | | | | | | | | | | | |            (131), (136), (183), (873) are inconsistent by
% 185.00/29.72  | | | | | | | | | | | | | | | | |            sub-proof #593.
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | |   (874)  all_56_12 = e3 & op(e0, e3) = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | ALPHA: (874) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | |   (875)  all_56_12 = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | |   (876)  op(e0, e3) = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (14), (16), (18), (23), (27), (29),
% 185.00/29.72  | | | | | | | | | | | | | | | | |            (31), (32), (33), (35), (40), (46), (48), (60),
% 185.00/29.72  | | | | | | | | | | | | | | | | |            (63), (64), (69), (77), (85), (87), (94), (104),
% 185.00/29.72  | | | | | | | | | | | | | | | | |            (105), (107), (109), (115), (117), (118), (128),
% 185.00/29.72  | | | | | | | | | | | | | | | | |            (130), (131), (136), (183), (875), (876) are
% 185.00/29.72  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #577.
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | |   (877)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.00/29.72  | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | REF_CLOSE: (11), (26), (130), (138), (877) are inconsistent
% 185.00/29.72  | | | | | | | | | | | | | | |            by sub-proof #1354.
% 185.00/29.72  | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | 
% 185.00/29.72  | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | 
% 185.00/29.72  | | | | | | | End of split
% 185.00/29.72  | | | | | | | 
% 185.00/29.72  | | | | | | End of split
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | End of split
% 185.00/29.72  | | | | | 
% 185.00/29.72  | | | | End of split
% 185.00/29.72  | | | | 
% 185.00/29.72  | | | End of split
% 185.00/29.72  | | | 
% 185.00/29.72  | | End of split
% 185.00/29.72  | | 
% 185.00/29.72  | Case 2:
% 185.00/29.72  | | 
% 185.00/29.72  | |   (878)  all_30_2 = e2
% 185.00/29.72  | | 
% 185.00/29.72  | | COMBINE_EQS: (58), (878) imply:
% 185.00/29.72  | |   (879)  all_4_2 = e2
% 185.00/29.72  | | 
% 185.00/29.72  | | SIMP: (879) implies:
% 185.00/29.72  | |   (880)  all_4_2 = e2
% 185.00/29.72  | | 
% 185.00/29.72  | | COMBINE_EQS: (68), (880) imply:
% 185.00/29.72  | |   (881)  all_48_2 = e2
% 185.00/29.72  | | 
% 185.00/29.72  | | REDUCE: (20), (880) imply:
% 185.00/29.72  | |   (882)   ~ (all_52_1 = e2)
% 185.00/29.72  | | 
% 185.00/29.72  | | REDUCE: (95), (880) imply:
% 185.00/29.72  | |   (883)   ~ (all_52_2 = e2)
% 185.00/29.72  | | 
% 185.00/29.72  | | REDUCE: (89), (880) imply:
% 185.00/29.72  | |   (884)   ~ (all_52_3 = e2)
% 185.00/29.72  | | 
% 185.00/29.72  | | REDUCE: (104), (880) imply:
% 185.00/29.72  | |   (885)  op(e3, e3) = e2
% 185.00/29.72  | | 
% 185.00/29.72  | | BETA: splitting (93) gives:
% 185.00/29.72  | | 
% 185.00/29.72  | | Case 1:
% 185.00/29.72  | | | 
% 185.00/29.72  | | |   (886)   ~ (all_48_2 = e2)
% 185.00/29.72  | | | 
% 185.00/29.72  | | | REDUCE: (881), (886) imply:
% 185.00/29.72  | | |   (887)  $false
% 185.00/29.72  | | | 
% 185.00/29.72  | | | CLOSE: (887) is inconsistent.
% 185.00/29.72  | | | 
% 185.00/29.72  | | Case 2:
% 185.00/29.72  | | | 
% 185.00/29.72  | | |   (888)  ( ~ (all_48_0 = e0) & op(e2, e2) = all_48_0 & $i(all_48_0)) | ( ~
% 185.00/29.72  | | |            (all_48_1 = e1) & op(e2, e3) = all_48_1 & $i(all_48_1))
% 185.00/29.72  | | | 
% 185.00/29.72  | | | BETA: splitting (31) gives:
% 185.00/29.72  | | | 
% 185.00/29.72  | | | Case 1:
% 185.00/29.72  | | | | 
% 185.00/29.72  | | | |   (889)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3)
% 185.00/29.72  | | | |            = e2)
% 185.00/29.72  | | | | 
% 185.00/29.72  | | | | BETA: splitting (889) gives:
% 185.00/29.72  | | | | 
% 185.00/29.72  | | | | Case 1:
% 185.00/29.72  | | | | | 
% 185.00/29.72  | | | | |   (890)  all_56_0 = e2 & op(e3, e3) = e2
% 185.00/29.72  | | | | | 
% 185.00/29.72  | | | | | ALPHA: (890) implies:
% 185.00/29.72  | | | | |   (891)  all_56_0 = e2
% 185.00/29.72  | | | | | 
% 185.00/29.72  | | | | | BETA: splitting (888) gives:
% 185.00/29.72  | | | | | 
% 185.00/29.72  | | | | | Case 1:
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | |   (892)   ~ (all_48_0 = e0) & op(e2, e2) = all_48_0 & $i(all_48_0)
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | | ALPHA: (892) implies:
% 185.00/29.72  | | | | | |   (893)   ~ (all_48_0 = e0)
% 185.00/29.72  | | | | | |   (894)  op(e2, e2) = all_48_0
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | | GROUND_INST: instantiating (63) with e0, all_48_0, e2, e2,
% 185.00/29.72  | | | | | |              simplifying with (128), (894) gives:
% 185.00/29.72  | | | | | |   (895)  all_48_0 = e0
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | | REDUCE: (893), (895) imply:
% 185.00/29.72  | | | | | |   (896)  $false
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | | CLOSE: (896) is inconsistent.
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | Case 2:
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | |   (897)   ~ (all_48_1 = e1) & op(e2, e3) = all_48_1 & $i(all_48_1)
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | | ALPHA: (897) implies:
% 185.00/29.72  | | | | | |   (898)   ~ (all_48_1 = e1)
% 185.00/29.72  | | | | | |   (899)  op(e2, e3) = all_48_1
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | | GROUND_INST: instantiating (63) with all_52_1, all_48_1, e3, e2,
% 185.00/29.72  | | | | | |              simplifying with (55), (899) gives:
% 185.00/29.72  | | | | | |   (900)  all_52_1 = all_48_1
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | | COMBINE_EQS: (56), (900) imply:
% 185.00/29.72  | | | | | |   (901)  all_54_4 = all_48_1
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | | REDUCE: (57), (900) imply:
% 185.00/29.72  | | | | | |   (902)   ~ (all_52_2 = all_48_1)
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | | SIMP: (902) implies:
% 185.00/29.72  | | | | | |   (903)   ~ (all_52_2 = all_48_1)
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | | REDUCE: (106), (900) imply:
% 185.00/29.72  | | | | | |   (904)   ~ (all_52_3 = all_48_1)
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | | SIMP: (904) implies:
% 185.00/29.72  | | | | | |   (905)   ~ (all_52_3 = all_48_1)
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | | REDUCE: (123), (900) imply:
% 185.00/29.72  | | | | | |   (906)   ~ (all_52_9 = all_48_1)
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | | SIMP: (906) implies:
% 185.00/29.72  | | | | | |   (907)   ~ (all_52_9 = all_48_1)
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | | REDUCE: (882), (900) imply:
% 185.00/29.72  | | | | | |   (908)   ~ (all_48_1 = e2)
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | | REDUCE: (86), (900) imply:
% 185.00/29.72  | | | | | |   (909)   ~ (all_48_1 = e0)
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | | BETA: splitting (35) gives:
% 185.00/29.72  | | | | | | 
% 185.00/29.72  | | | | | | Case 1:
% 185.00/29.72  | | | | | | | 
% 185.00/29.72  | | | | | | |   (910)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 &
% 185.00/29.72  | | | | | | |            op(e2, e2) = e1)
% 185.00/29.72  | | | | | | | 
% 185.00/29.72  | | | | | | | BETA: splitting (910) gives:
% 185.00/29.72  | | | | | | | 
% 185.00/29.72  | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | 
% 185.00/29.72  | | | | | | | |   (911)  all_56_2 = e1 & op(e2, e3) = e1
% 185.00/29.72  | | | | | | | | 
% 185.00/29.72  | | | | | | | | ALPHA: (911) implies:
% 185.00/29.72  | | | | | | | |   (912)  all_56_2 = e1
% 185.00/29.72  | | | | | | | | 
% 185.00/29.72  | | | | | | | | BETA: splitting (10) gives:
% 185.00/29.72  | | | | | | | | 
% 185.00/29.72  | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | 
% 185.00/29.72  | | | | | | | | |   (913)  all_54_4 = e3
% 185.00/29.72  | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | COMBINE_EQS: (901), (913) imply:
% 185.00/29.72  | | | | | | | | |   (914)  all_48_1 = e3
% 185.00/29.72  | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | REDUCE: (907), (914) imply:
% 185.00/29.72  | | | | | | | | |   (915)   ~ (all_52_9 = e3)
% 185.00/29.72  | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | REF_CLOSE: (4), (11), (14), (16), (18), (23), (27), (28),
% 185.00/29.72  | | | | | | | | |            (29), (31), (32), (33), (34), (35), (37), (40),
% 185.00/29.72  | | | | | | | | |            (45), (46), (48), (51), (60), (63), (64), (69),
% 185.00/29.72  | | | | | | | | |            (77), (78), (79), (81), (85), (87), (91), (94),
% 185.00/29.72  | | | | | | | | |            (99), (104), (105), (107), (109), (112), (113),
% 185.00/29.72  | | | | | | | | |            (115), (117), (118), (128), (130), (131), (135),
% 185.00/29.72  | | | | | | | | |            (136), (885), (912), (915) are inconsistent by
% 185.00/29.72  | | | | | | | | |            sub-proof #465.
% 185.00/29.72  | | | | | | | | | 
% 185.00/29.72  | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | 
% 185.00/29.72  | | | | | | | | |   (916)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.00/29.72  | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | REF_CLOSE: (898), (901), (908), (909), (916) are inconsistent
% 185.00/29.72  | | | | | | | | |            by sub-proof #464.
% 185.00/29.72  | | | | | | | | | 
% 185.00/29.72  | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | 
% 185.00/29.72  | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | 
% 185.00/29.72  | | | | | | | |   (917)  all_56_3 = e1 & op(e2, e2) = e1
% 185.00/29.72  | | | | | | | | 
% 185.00/29.72  | | | | | | | | ALPHA: (917) implies:
% 185.00/29.72  | | | | | | | |   (918)  op(e2, e2) = e1
% 185.00/29.72  | | | | | | | | 
% 185.00/29.72  | | | | | | | | REF_CLOSE: (18), (63), (128), (918) are inconsistent by
% 185.00/29.72  | | | | | | | |            sub-proof #1310.
% 185.00/29.72  | | | | | | | | 
% 185.00/29.72  | | | | | | | End of split
% 185.00/29.72  | | | | | | | 
% 185.00/29.72  | | | | | | Case 2:
% 185.00/29.72  | | | | | | | 
% 185.00/29.72  | | | | | | |   (919)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 &
% 185.00/29.72  | | | | | | |            op(e2, e0) = e1)
% 185.00/29.72  | | | | | | | 
% 185.00/29.72  | | | | | | | BETA: splitting (919) gives:
% 185.00/29.72  | | | | | | | 
% 185.00/29.72  | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | 
% 185.00/29.72  | | | | | | | |   (920)  all_56_5 = e1 & op(e2, e1) = e1
% 185.00/29.72  | | | | | | | | 
% 185.00/29.72  | | | | | | | | ALPHA: (920) implies:
% 185.00/29.72  | | | | | | | |   (921)  op(e2, e1) = e1
% 185.00/29.72  | | | | | | | | 
% 185.00/29.72  | | | | | | | | BETA: splitting (105) gives:
% 185.00/29.72  | | | | | | | | 
% 185.00/29.72  | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | 
% 185.00/29.72  | | | | | | | | |   (922)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 &
% 185.00/29.72  | | | | | | | | |            op(e2, e1) = e2)
% 185.00/29.72  | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | BETA: splitting (922) gives:
% 185.00/29.72  | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | |   (923)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.72  | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | ALPHA: (923) implies:
% 185.00/29.72  | | | | | | | | | |   (924)  all_56_4 = e2
% 185.00/29.72  | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | BETA: splitting (77) gives:
% 185.00/29.72  | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | |   (925)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 185.00/29.72  | | | | | | | | | | |            & op(e2, e2) = e2)
% 185.00/29.72  | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | BETA: splitting (925) gives:
% 185.00/29.72  | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | |   (926)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.72  | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | ALPHA: (926) implies:
% 185.00/29.72  | | | | | | | | | | | |   (927)  all_56_2 = e2
% 185.00/29.72  | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | BETA: splitting (35) gives:
% 185.00/29.72  | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | |   (928)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 185.00/29.72  | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 185.00/29.72  | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | BETA: splitting (928) gives:
% 185.00/29.72  | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | |   (929)  all_56_2 = e1 & op(e2, e3) = e1
% 185.00/29.72  | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (23), (27), (33), (40), (46), (63),
% 185.00/29.72  | | | | | | | | | | | | | |            (64), (94), (105), (117), (136), (924), (927),
% 185.00/29.72  | | | | | | | | | | | | | |            (929) are inconsistent by sub-proof #463.
% 185.00/29.72  | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | |   (930)  all_56_3 = e1 & op(e2, e2) = e1
% 185.00/29.72  | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | ALPHA: (930) implies:
% 185.00/29.72  | | | | | | | | | | | | | |   (931)  op(e2, e2) = e1
% 185.00/29.72  | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (128), (931) are inconsistent by
% 185.00/29.72  | | | | | | | | | | | | | |            sub-proof #1310.
% 185.00/29.72  | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | BETA: splitting (919) gives:
% 185.00/29.72  | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (14), (18), (27), (28), (29), (34),
% 185.00/29.72  | | | | | | | | | | | | | |            (37), (40), (46), (63), (77), (78), (79), (94),
% 185.00/29.72  | | | | | | | | | | | | | |            (104), (107), (109), (112), (113), (115), (117),
% 185.00/29.72  | | | | | | | | | | | | | |            (128), (136), (921), (924), (927) are inconsistent
% 185.00/29.72  | | | | | | | | | | | | | |            by sub-proof #483.
% 185.00/29.72  | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | |   (932)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.72  | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | ALPHA: (932) implies:
% 185.00/29.72  | | | | | | | | | | | | | |   (933)  all_56_10 = e1
% 185.00/29.72  | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 185.00/29.72  | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | |   (934)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 185.00/29.72  | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 185.00/29.72  | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | REF_CLOSE: (11), (63), (104), (109), (115), (934) are
% 185.00/29.72  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1060.
% 185.00/29.72  | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | |   (935)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 185.00/29.72  | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 185.00/29.72  | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | BETA: splitting (935) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | |   (936)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.72  | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | REF_CLOSE: (40), (924), (936) are inconsistent by sub-proof
% 185.00/29.72  | | | | | | | | | | | | | | | |            #1190.
% 185.00/29.72  | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | |   (937)  all_56_9 = e0 & op(e3, e0) = e0
% 185.00/29.72  | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | ALPHA: (937) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | |   (938)  all_56_9 = e0
% 185.00/29.72  | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | |   (939)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 185.00/29.72  | | | | | | | | | | | | | | | | |            & op(e2, e1) = e0)
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | BETA: splitting (939) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | |   (940)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (924), (940) are inconsistent by sub-proof
% 185.00/29.72  | | | | | | | | | | | | | | | | | |            #1190.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | |   (941)  all_56_5 = e0 & op(e2, e1) = e0
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (33), (63), (941) are inconsistent by
% 185.00/29.72  | | | | | | | | | | | | | | | | | |            sub-proof #1476.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | |   (942)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 185.00/29.72  | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | BETA: splitting (942) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | |   (943)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | ALPHA: (943) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | |   (944)  op(e1, e1) = e0
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (136), (944) are inconsistent by
% 185.00/29.72  | | | | | | | | | | | | | | | | | |            sub-proof #1619.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | |   (945)  all_56_14 = e0 & op(e0, e1) = e0
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | ALPHA: (945) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | |   (946)  all_56_14 = e0
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | BETA: splitting (16) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | |   (947)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | BETA: splitting (947) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | |   (948)  all_56_4 = e3 & op(e3, e1) = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | ALPHA: (948) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | |   (949)  all_56_4 = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (924), (949) are inconsistent by sub-proof
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | |            #1285.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | |   (950)  all_56_5 = e3 & op(e2, e1) = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | ALPHA: (950) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | |   (951)  all_56_5 = e3
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | |   (952)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (952) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | |   (953)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (953) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | |   (954)  all_56_9 = e2
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (938), (954) are inconsistent by sub-proof
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | |            #1570.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | |   (955)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (955) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | |   (956)  all_56_10 = e2
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (18), (27), (28), (34), (37), (40),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | |            (46), (63), (79), (94), (112), (113), (117),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | |            (136), (938), (956) are inconsistent by sub-proof
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | |            #539.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | |   (957)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (957) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | |   (958)  all_56_11 = e2 & op(e1, e0) = e2
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (958) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | |   (959)  all_56_11 = e2
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | |   (960)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (960) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | |   (961)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (961) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | |   (962)  all_56_6 = e0
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (963)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (963) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (964)  all_56_0 = e1 & op(e3, e3) = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (964) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (965)  op(e3, e3) = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (117), (885), (965) are inconsistent by
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1582.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (966)  all_56_2 = e1 & op(e2, e3) = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (966) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (967)  all_56_2 = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (927), (967) imply:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (968)  e2 = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (968) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (969)  e2 = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (924), (969) imply:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (970)  all_56_4 = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (63), (94), (105), (117), (136), (946),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | |            (951), (970) are inconsistent by sub-proof #1471.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (971)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (971) gives:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (972)  all_56_6 = e1 & op(e1, e3) = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (962), (972) are inconsistent by sub-proof
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1522.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (973)  all_56_12 = e1 & op(e0, e3) = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (973) implies:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (974)  op(e0, e3) = e1
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (46), (51), (60), (63), (77), (94),
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | |            (117), (128), (885), (933), (951), (962), (974)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #477.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | |   (975)  all_56_7 = e0 & op(e1, e2) = e0
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (63), (113), (975) are inconsistent by
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1199.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | |   (976)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (40), (63), (136), (959), (976) are
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1422.
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.72  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | |   (977)  all_56_15 = e2 & op(e0, e0) = e2
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (977) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | |   (978)  op(e0, e0) = e2
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (48), (63), (978) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1511.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | |   (979)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 185.00/29.73  | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (46), (63), (136), (946), (979) are
% 185.00/29.73  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1469.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | |   (980)  all_56_3 = e2 & op(e2, e2) = e2
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | ALPHA: (980) implies:
% 185.00/29.73  | | | | | | | | | | | |   (981)  op(e2, e2) = e2
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | REF_CLOSE: (40), (63), (128), (981) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | |            sub-proof #1586.
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | |   (982)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 185.00/29.73  | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | BETA: splitting (982) gives:
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | |   (983)  all_56_5 = e2 & op(e2, e1) = e2
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | ALPHA: (983) implies:
% 185.00/29.73  | | | | | | | | | | | |   (984)  op(e2, e1) = e2
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | REF_CLOSE: (63), (117), (921), (984) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | |            sub-proof #1148.
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | |   (985)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | ALPHA: (985) implies:
% 185.00/29.73  | | | | | | | | | | | |   (986)  all_56_10 = e2
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | BETA: splitting (16) gives:
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | |   (987)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 185.00/29.73  | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 185.00/29.73  | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | BETA: splitting (987) gives:
% 185.00/29.73  | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | |   (988)  all_56_4 = e3 & op(e3, e1) = e3
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | ALPHA: (988) implies:
% 185.00/29.73  | | | | | | | | | | | | | |   (989)  op(e3, e1) = e3
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (14), (18), (27), (28), (29), (34),
% 185.00/29.73  | | | | | | | | | | | | | |            (37), (40), (46), (63), (79), (94), (99), (104),
% 185.00/29.73  | | | | | | | | | | | | | |            (109), (112), (113), (115), (117), (136), (986),
% 185.00/29.73  | | | | | | | | | | | | | |            (989) are inconsistent by sub-proof #462.
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | |   (990)  all_56_5 = e3 & op(e2, e1) = e3
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | ALPHA: (990) implies:
% 185.00/29.73  | | | | | | | | | | | | | |   (991)  op(e2, e1) = e3
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | REF_CLOSE: (46), (63), (921), (991) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | | | |            sub-proof #1456.
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | |   (992)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 185.00/29.73  | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 185.00/29.73  | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | BETA: splitting (992) gives:
% 185.00/29.73  | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | |   (993)  all_56_8 = e3 & op(e1, e1) = e3
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | ALPHA: (993) implies:
% 185.00/29.73  | | | | | | | | | | | | | |   (994)  op(e1, e1) = e3
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | REF_CLOSE: (46), (63), (136), (994) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | | | |            sub-proof #1541.
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | |   (995)  all_56_14 = e3 & op(e0, e1) = e3
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | ALPHA: (995) implies:
% 185.00/29.73  | | | | | | | | | | | | | |   (996)  all_56_14 = e3
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | REF_CLOSE: (18), (23), (27), (33), (40), (63), (64), (136),
% 185.00/29.73  | | | | | | | | | | | | | |            (924), (996) are inconsistent by sub-proof #1067.
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | |   (997)  all_56_5 = e2 & op(e2, e1) = e2
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | ALPHA: (997) implies:
% 185.00/29.73  | | | | | | | | | |   (998)  op(e2, e1) = e2
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | REF_CLOSE: (63), (117), (921), (998) are inconsistent by
% 185.00/29.73  | | | | | | | | | |            sub-proof #1148.
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | 
% 185.00/29.73  | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | 
% 185.00/29.73  | | | | | | | | |   (999)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 &
% 185.00/29.73  | | | | | | | | |            op(e0, e1) = e2)
% 185.00/29.73  | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | BETA: splitting (999) gives:
% 185.00/29.73  | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | |   (1000)  all_56_8 = e2 & op(e1, e1) = e2
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | ALPHA: (1000) implies:
% 185.00/29.73  | | | | | | | | | |   (1001)  op(e1, e1) = e2
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | REF_CLOSE: (63), (117), (136), (1001) are inconsistent by
% 185.00/29.73  | | | | | | | | | |            sub-proof #1473.
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | |   (1002)  all_56_14 = e2 & op(e0, e1) = e2
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | ALPHA: (1002) implies:
% 185.00/29.73  | | | | | | | | | |   (1003)  all_56_14 = e2
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | BETA: splitting (77) gives:
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | |   (1004)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 185.00/29.73  | | | | | | | | | | |             & op(e2, e2) = e2)
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | BETA: splitting (1004) gives:
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | |   (1005)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | ALPHA: (1005) implies:
% 185.00/29.73  | | | | | | | | | | | |   (1006)  all_56_2 = e2
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | REF_CLOSE: (4), (11), (14), (16), (18), (23), (27), (28),
% 185.00/29.73  | | | | | | | | | | | |            (29), (33), (34), (37), (40), (46), (63), (64),
% 185.00/29.73  | | | | | | | | | | | |            (77), (78), (79), (94), (99), (104), (105), (107),
% 185.00/29.73  | | | | | | | | | | | |            (109), (112), (113), (115), (117), (128), (136),
% 185.00/29.73  | | | | | | | | | | | |            (921), (1006) are inconsistent by sub-proof #482.
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | |   (1007)  all_56_3 = e2 & op(e2, e2) = e2
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | ALPHA: (1007) implies:
% 185.00/29.73  | | | | | | | | | | | |   (1008)  op(e2, e2) = e2
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | REF_CLOSE: (40), (63), (128), (1008) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | |            sub-proof #1586.
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | |   (1009)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 185.00/29.73  | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | BETA: splitting (1009) gives:
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | |   (1010)  all_56_5 = e2 & op(e2, e1) = e2
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | ALPHA: (1010) implies:
% 185.00/29.73  | | | | | | | | | | | |   (1011)  op(e2, e1) = e2
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | REF_CLOSE: (63), (117), (921), (1011) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | |            sub-proof #1148.
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | |   (1012)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | ALPHA: (1012) implies:
% 185.00/29.73  | | | | | | | | | | | |   (1013)  all_56_10 = e2
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | REF_CLOSE: (4), (11), (14), (16), (18), (27), (28), (29),
% 185.00/29.73  | | | | | | | | | | | |            (34), (37), (40), (46), (63), (79), (94), (99),
% 185.00/29.73  | | | | | | | | | | | |            (104), (109), (112), (113), (115), (117), (136),
% 185.00/29.73  | | | | | | | | | | | |            (921), (1003), (1013) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | |            sub-proof #461.
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | 
% 185.00/29.73  | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | 
% 185.00/29.73  | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | 
% 185.00/29.73  | | | | | | | |   (1014)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.73  | | | | | | | | 
% 185.00/29.73  | | | | | | | | ALPHA: (1014) implies:
% 185.00/29.73  | | | | | | | |   (1015)  all_56_10 = e1
% 185.00/29.73  | | | | | | | | 
% 185.00/29.73  | | | | | | | | BETA: splitting (91) gives:
% 185.00/29.73  | | | | | | | | 
% 185.00/29.73  | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | 
% 185.00/29.73  | | | | | | | | |   (1016)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2
% 185.00/29.73  | | | | | | | | |             & op(e2, e0) = e2)
% 185.00/29.73  | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | BETA: splitting (1016) gives:
% 185.00/29.73  | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | |   (1017)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | ALPHA: (1017) implies:
% 185.00/29.73  | | | | | | | | | |   (1018)  all_56_9 = e2
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | REF_CLOSE: (11), (16), (18), (23), (27), (29), (33), (40),
% 185.00/29.73  | | | | | | | | | |            (46), (63), (64), (69), (81), (94), (99), (104),
% 185.00/29.73  | | | | | | | | | |            (105), (109), (115), (117), (136), (885), (1018)
% 185.00/29.73  | | | | | | | | | |            are inconsistent by sub-proof #459.
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | |   (1019)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | ALPHA: (1019) implies:
% 185.00/29.73  | | | | | | | | | |   (1020)  all_56_10 = e2
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | REF_CLOSE: (117), (1015), (1020) are inconsistent by
% 185.00/29.73  | | | | | | | | | |            sub-proof #1064.
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | 
% 185.00/29.73  | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | 
% 185.00/29.73  | | | | | | | | |   (1021)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2
% 185.00/29.73  | | | | | | | | |             & op(e0, e0) = e2)
% 185.00/29.73  | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | BETA: splitting (1021) gives:
% 185.00/29.73  | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | |   (1022)  all_56_11 = e2 & op(e1, e0) = e2
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | ALPHA: (1022) implies:
% 185.00/29.73  | | | | | | | | | |   (1023)  all_56_11 = e2
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | BETA: splitting (77) gives:
% 185.00/29.73  | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | |   (1024)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 185.00/29.73  | | | | | | | | | | |             & op(e2, e2) = e2)
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | REF_CLOSE: (11), (18), (27), (32), (40), (46), (51), (60),
% 185.00/29.73  | | | | | | | | | | |            (63), (77), (94), (104), (107), (117), (128),
% 185.00/29.73  | | | | | | | | | | |            (131), (885), (1015), (1024) are inconsistent by
% 185.00/29.73  | | | | | | | | | | |            sub-proof #472.
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | |   (1025)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 185.00/29.73  | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | BETA: splitting (1025) gives:
% 185.00/29.73  | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | |   (1026)  all_56_5 = e2 & op(e2, e1) = e2
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | ALPHA: (1026) implies:
% 185.00/29.73  | | | | | | | | | | | |   (1027)  op(e2, e1) = e2
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | BETA: splitting (10) gives:
% 185.00/29.73  | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | |   (1028)  all_54_4 = e3
% 185.00/29.73  | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | COMBINE_EQS: (901), (1028) imply:
% 185.00/29.73  | | | | | | | | | | | | |   (1029)  all_48_1 = e3
% 185.00/29.73  | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | REDUCE: (903), (1029) imply:
% 185.00/29.73  | | | | | | | | | | | | |   (1030)   ~ (all_52_2 = e3)
% 185.00/29.73  | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | REDUCE: (905), (1029) imply:
% 185.00/29.73  | | | | | | | | | | | | |   (1031)   ~ (all_52_3 = e3)
% 185.00/29.73  | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | REDUCE: (907), (1029) imply:
% 185.00/29.73  | | | | | | | | | | | | |   (1032)   ~ (all_52_9 = e3)
% 185.00/29.73  | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | BETA: splitting (112) gives:
% 185.00/29.73  | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | |   (1033)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 185.00/29.73  | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | BETA: splitting (1033) gives:
% 185.00/29.73  | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | |   (1034)  all_56_6 = e3 & op(e1, e3) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | ALPHA: (1034) implies:
% 185.00/29.73  | | | | | | | | | | | | | | |   (1035)  all_56_6 = e3
% 185.00/29.73  | | | | | | | | | | | | | | |   (1036)  op(e1, e3) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (14), (18), (27), (28), (32), (33),
% 185.00/29.73  | | | | | | | | | | | | | | |            (34), (37), (40), (46), (48), (51), (60), (63),
% 185.00/29.73  | | | | | | | | | | | | | | |            (79), (91), (94), (104), (107), (112), (113),
% 185.00/29.73  | | | | | | | | | | | | | | |            (117), (128), (130), (131), (136), (885), (1015),
% 185.00/29.73  | | | | | | | | | | | | | | |            (1023), (1027), (1032), (1035), (1036) are
% 185.00/29.73  | | | | | | | | | | | | | | |            inconsistent by sub-proof #456.
% 185.00/29.73  | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | |   (1037)  all_56_7 = e3 & op(e1, e2) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | ALPHA: (1037) implies:
% 185.00/29.73  | | | | | | | | | | | | | | |   (1038)  all_56_7 = e3
% 185.00/29.73  | | | | | | | | | | | | | | |   (1039)  op(e1, e2) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | |   (1040)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 185.00/29.73  | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 185.00/29.73  | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | BETA: splitting (1040) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | |   (1041)  all_56_1 = e2 & op(e3, e2) = e2
% 185.00/29.73  | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | ALPHA: (1041) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | |   (1042)  all_56_1 = e2
% 185.00/29.73  | | | | | | | | | | | | | | | | |   (1043)  op(e3, e2) = e2
% 185.00/29.73  | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | BETA: splitting (51) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | |   (1044)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | BETA: splitting (1044) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | |   (1045)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | ALPHA: (1045) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | |   (1046)  op(e3, e3) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (94), (885), (1046) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | | | | | | | | |            sub-proof #1594.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | |   (1047)  all_56_2 = e3 & op(e2, e3) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | ALPHA: (1047) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | |   (1048)  all_56_2 = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | |   (1049)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1049) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | |   (1050)  all_56_0 = e1 & op(e3, e3) = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1050) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | |   (1051)  op(e3, e3) = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (117), (885), (1051) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1582.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | |   (1052)  all_56_2 = e1 & op(e2, e3) = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1052) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | |   (1053)  all_56_2 = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (14), (16), (18), (23), (27), (28),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | |            (29), (31), (32), (33), (34), (35), (37), (40),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | |            (45), (46), (48), (51), (60), (63), (64), (69),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | |            (77), (78), (79), (81), (85), (87), (91), (94),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | |            (99), (104), (105), (107), (109), (112), (113),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | |            (115), (117), (118), (128), (130), (131), (135),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | |            (136), (885), (1032), (1053) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | |            sub-proof #465.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | |   (1054)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1054) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | |   (1055)  all_56_6 = e1 & op(e1, e3) = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1055) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | |   (1056)  all_56_6 = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (34), (37), (40), (63), (113), (136),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | |            (1023), (1056) are inconsistent by sub-proof #468.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | |   (1057)  all_56_12 = e1 & op(e0, e3) = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1057) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | |   (1058)  all_56_12 = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | |   (1059)  op(e0, e3) = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | |   (1060)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (27), (46), (63), (94), (104), (107), (128),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | |            (1015), (1027), (1060) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #457.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | |   (1061)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1061) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | |   (1062)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1062) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | |   (1063)  all_56_6 = e0
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | |   (1064)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e1)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1064) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (1065)  all_56_0 = e1 & op(e3, e3) = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1065) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (1066)  op(e3, e3) = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (117), (885), (1066) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1582.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (1067)  all_56_1 = e1 & op(e3, e2) = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1067) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (1068)  all_56_1 = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1042), (1068) imply:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (1069)  e2 = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (46), (63), (79), (94), (112), (117),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | |            (136), (1023), (1063), (1069) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #455.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | |   (1070)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e1)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1070) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (1071)  all_56_4 = e1 & op(e3, e1) = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1071) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (1072)  all_56_4 = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (23), (27), (33), (40), (46), (63),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | |            (64), (94), (105), (117), (136), (1072) are
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1467.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (1073)  all_56_9 = e1 & op(e3, e0) = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1073) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (1074)  all_56_9 = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (124) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1075)  all_56_15 = e0 & op(e0, e0) = e0
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1075) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1076)  op(e0, e0) = e0
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (81) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1077)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1077) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1078)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1078) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1079)  all_56_0 = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (16), (18), (23), (27), (29), (33),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (40), (46), (47), (48), (63), (64), (69), (85),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (94), (104), (105), (109), (115), (117), (118),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (130), (136), (1027), (1043), (1058),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1079) are inconsistent by sub-proof #557.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1080)  all_56_1 = e3 & op(e3, e2) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1080) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1081)  all_56_1 = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1042), (1081) imply:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1082)  e3 = e2
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1048), (1082) imply:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1083)  all_56_2 = e2
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1033) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1084)  all_56_6 = e3 & op(e1, e3) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (1063), (1084) are inconsistent by sub-proof
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1530.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (51) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1044) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1085)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1085) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1086)  op(e3, e3) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (16), (18), (23), (27),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (29), (31), (32), (33), (34), (35), (37), (40),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (45), (46), (47), (48), (63), (64), (69), (77),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (79), (85), (87), (94), (96), (104), (105), (107),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (109), (112), (113), (115), (117), (118), (120),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (128), (130), (131), (136), (1015), (1038),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1063), (1076), (1086) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #553.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (1047), (1083) are inconsistent by sub-proof
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1333.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1087)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (46), (60), (63), (1059), (1063), (1087) are
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1528.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1088)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (63), (94), (136), (1023), (1088) are
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1493.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1089)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1089) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1090)  all_56_4 = e3 & op(e3, e1) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1090) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1091)  op(e3, e1) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (18), (27), (29), (63), (99), (104), (109),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (115), (1074), (1091) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #454.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1092)  all_56_9 = e3 & op(e3, e0) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1092) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1093)  all_56_9 = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1074), (1093) imply:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1094)  e3 = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1048), (1094) imply:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1095)  all_56_2 = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (46), (51), (60), (63), (94), (891), (1059),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1063), (1095) are inconsistent by sub-proof
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1527.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1096)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1096) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1097)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | |               e0) = e0)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (81) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1098)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = e3)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1098) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1099)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1099) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1100)  all_56_0 = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (16), (18), (23), (27), (29), (33),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (40), (46), (47), (48), (63), (64), (69), (85),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (94), (104), (105), (109), (115), (117), (118),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (120), (130), (136), (1027), (1043), (1058),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1100) are inconsistent by sub-proof #557.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1101)  all_56_1 = e3 & op(e3, e2) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1101) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1102)  all_56_1 = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1042), (1102) imply:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1103)  e3 = e2
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1048), (1103) imply:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1104)  all_56_2 = e2
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1105)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1105) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1106)  all_56_9 = e3 & op(e3, e0) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1106) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1107)  all_56_9 = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (63), (90), (116), (1023), (1097),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1107) are inconsistent by sub-proof #453.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1108)  all_56_10 = e3 & op(e2, e0) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1108) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1109)  all_56_10 = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18), (40), (48), (63), (90), (91), (94),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (116), (117), (1074), (1097), (1109) are
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1497.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1110)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e0, e0) = e3)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1110) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1111)  all_56_11 = e3 & op(e1, e0) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1111) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1112)  all_56_11 = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (18), (27), (28), (34), (37), (40),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (48), (63), (79), (90), (91), (94), (112),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (116), (117), (136), (1097), (1112) are
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #538.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1113)  all_56_15 = e3 & op(e0, e0) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1113) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1114)  op(e0, e0) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1115)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1115) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1116)  all_56_0 = e1 & op(e3, e3) = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1116) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1117)  op(e3, e3) = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (117), (885), (1117) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1582.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1118)  all_56_2 = e1 & op(e2, e3) = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1118) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1119)  all_56_2 = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1104), (1119) imply:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1120)  e2 = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (46), (63), (79), (94), (112), (117),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (136), (1023), (1063), (1120) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #455.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1054) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1121)  all_56_6 = e1 & op(e1, e3) = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (1063), (1121) are inconsistent by sub-proof
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1522.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1122)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1122) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1123)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1123) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1124)  all_56_12 = e2
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1058), (1124) imply:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1125)  e2 = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1023), (1125) imply:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1126)  all_56_11 = e1
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (46), (63), (79), (94), (112), (117),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (136), (1063), (1126) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #823.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1127)  all_56_13 = e2 & op(e0, e2) = e2
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1127) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1128)  op(e0, e2) = e2
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (63), (109), (120), (1043), (1128) are
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1342.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1129)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18), (27), (40), (48), (59), (63), (120),
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (124), (1058), (1114), (1129) are inconsistent by
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #523.
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1130)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e0) = e3)
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1130) gives:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1131)  all_56_4 = e3 & op(e3, e1) = e3
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1131) implies:
% 185.00/29.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1132)  op(e3, e1) = e3
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (18), (27), (29), (63), (99), (104), (109),
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (115), (1074), (1132) are inconsistent by
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #454.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1133)  all_56_9 = e3 & op(e3, e0) = e3
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1133) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1134)  all_56_9 = e3
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (63), (90), (116), (1023), (1097),
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1134) are inconsistent by sub-proof #453.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | |   (1135)  all_56_12 = e0 & op(e0, e3) = e0
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1135) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | |   (1136)  op(e0, e3) = e0
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (1059), (1136) are inconsistent by
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1589.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | |   (1137)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 185.00/29.74  | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | BETA: splitting (1137) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | |   (1138)  all_56_6 = e3 & op(e1, e3) = e3
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | ALPHA: (1138) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | |   (1139)  all_56_6 = e3
% 185.00/29.74  | | | | | | | | | | | | | | | | | | |   (1140)  op(e1, e3) = e3
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (14), (18), (27), (28), (32), (33),
% 185.00/29.74  | | | | | | | | | | | | | | | | | | |            (34), (37), (40), (46), (48), (51), (60), (63),
% 185.00/29.74  | | | | | | | | | | | | | | | | | | |            (79), (91), (94), (104), (107), (112), (113),
% 185.00/29.74  | | | | | | | | | | | | | | | | | | |            (117), (128), (130), (131), (136), (885), (1015),
% 185.00/29.74  | | | | | | | | | | | | | | | | | | |            (1023), (1027), (1032), (1139), (1140) are
% 185.00/29.74  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #456.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | |   (1141)  all_56_12 = e3 & op(e0, e3) = e3
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | ALPHA: (1141) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | |   (1142)  all_56_12 = e3
% 185.00/29.74  | | | | | | | | | | | | | | | | | | |   (1143)  op(e0, e3) = e3
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | |   (1144)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1144) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |   (1145)  all_56_0 = e1 & op(e3, e3) = e1
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1145) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |   (1146)  op(e3, e3) = e1
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (117), (885), (1146) are inconsistent by
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1582.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |   (1147)  all_56_2 = e1 & op(e2, e3) = e1
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1147) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |   (1148)  all_56_2 = e1
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11), (14), (16), (18), (23), (27), (28),
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |            (29), (31), (32), (33), (34), (35), (37), (40),
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |            (45), (46), (48), (51), (60), (63), (64), (69),
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |            (77), (78), (79), (81), (85), (87), (91), (94),
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |            (99), (104), (105), (107), (109), (112), (113),
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |            (115), (117), (118), (128), (130), (131), (135),
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |            (136), (885), (1032), (1142), (1143), (1148) are
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #466.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | |   (1149)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1149) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |   (1150)  all_56_6 = e1 & op(e1, e3) = e1
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1150) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |   (1151)  all_56_6 = e1
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (34), (37), (40), (63), (113), (136),
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |            (1023), (1151) are inconsistent by sub-proof #468.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |   (1152)  all_56_12 = e1 & op(e0, e3) = e1
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1152) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |   (1153)  op(e0, e3) = e1
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (60), (63), (1143), (1153) are inconsistent
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1529.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | |   (1154)  all_56_3 = e2 & op(e2, e2) = e2
% 185.00/29.74  | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | ALPHA: (1154) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | |   (1155)  op(e2, e2) = e2
% 185.00/29.74  | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (63), (128), (1155) are inconsistent by
% 185.00/29.74  | | | | | | | | | | | | | | | | |            sub-proof #1586.
% 185.00/29.74  | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | |   (1156)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 185.00/29.74  | | | | | | | | | | | | | | | |             e2 & op(e0, e2) = e2)
% 185.00/29.74  | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | BETA: splitting (1156) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | |   (1157)  all_56_7 = e2 & op(e1, e2) = e2
% 185.00/29.74  | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (1038), (1157) are inconsistent by sub-proof
% 185.00/29.74  | | | | | | | | | | | | | | | | |            #1072.
% 185.00/29.74  | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | |   (1158)  all_56_13 = e2 & op(e0, e2) = e2
% 185.00/29.74  | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | ALPHA: (1158) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | |   (1159)  all_56_13 = e2
% 185.00/29.74  | | | | | | | | | | | | | | | | |   (1160)  op(e0, e2) = e2
% 185.00/29.74  | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | |   (1161)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 185.00/29.74  | | | | | | | | | | | | | | | | | |             e1 & op(e0, e2) = e1)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | BETA: splitting (1161) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | |   (1162)  all_56_12 = e1 & op(e0, e3) = e1
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | ALPHA: (1162) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | |   (1163)  op(e0, e3) = e1
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | |   (1164)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e0)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1164) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |   (1165)  all_56_0 = e0 & op(e3, e3) = e0
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1165) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |   (1166)  op(e3, e3) = e0
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (63), (104), (1166) are inconsistent by
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1624.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |   (1167)  all_56_2 = e0 & op(e2, e3) = e0
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1167) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |   (1168)  all_56_2 = e0
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (46), (63), (94), (107), (128), (1015),
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |            (1027), (1168) are inconsistent by sub-proof #458.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | |   (1169)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | |             e0 & op(e0, e3) = e0)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1169) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |   (1170)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1170) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |   (1171)  all_56_6 = e0
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | |   (1172)  op(e1, e3) = e0
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | |   (1173)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e3)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1173) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | |   (1174)  all_56_2 = e3 & op(e2, e3) = e3
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1174) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | |   (1175)  all_56_2 = e3
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | |   (1176)  all_54_8 = e3
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (71), (1030), (1176) are inconsistent by sub-proof
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | |            #1243.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | |   (1177)   ~ (all_54_8 = e3)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | |   (1178)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1178) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (1179)  all_54_8 = e2
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (71), (883), (1179) are inconsistent by sub-proof
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | |            #1240.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (1180)   ~ (all_54_8 = e2)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (1181)  all_54_8 = e1 | all_54_8 = e0
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1182)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1182) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1183)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (26), (27), (60), (62), (63), (89), (95),
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (104), (109), (111), (1163), (1172), (1183) are
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1283.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1184)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_20 & op(e2, e0) = all_57_21 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (47), (60), (63), (109), (120), (1160),
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1163), (1184) are inconsistent by sub-proof #740.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1185)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1185) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1186)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1186) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1187)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_21) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1187) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1188)  op(e1, e2) = e2
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1181) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1189)  all_54_8 = e1
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (71), (133), (1189) are inconsistent by sub-proof
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #952.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1190)  all_54_8 = e0
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (1190) imply:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1191)  all_52_2 = e0
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1191) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1192)  all_52_2 = e0
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (1192) imply:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1193)   ~ (all_52_3 = e0)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1193) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1194)   ~ (all_52_3 = e0)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1030), (1192) imply:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1195)   ~ (e3 = e0)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (883), (1192) imply:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1196)   ~ (e2 = e0)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1197)  all_54_12 = e3
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (97), (1031), (1197) are inconsistent by sub-proof
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1265.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1198)   ~ (all_54_12 = e3)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1199)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1199) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1200)  all_54_12 = e2
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (97), (884), (1200) are inconsistent by sub-proof
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #709.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1201)   ~ (all_54_12 = e2)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1202)  all_54_12 = e1 | all_54_12 = e0
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1202) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1203)  all_54_12 = e1
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (97), (1203) imply:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1204)  all_52_3 = e1
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1204) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1205)  all_52_3 = e1
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1031), (1205) imply:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1206)   ~ (e3 = e1)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (884), (1205) imply:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1207)   ~ (e2 = e1)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (63) with all_52_6, e2, e2, e1,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (113), (1188) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1208)  all_52_6 = e2
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (63) with all_52_6, e3, e2, e1,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (113), (1039) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1209)  all_52_6 = e3
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1208), (1209) imply:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1210)  e3 = e2
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1210) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1211)  e3 = e2
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1175), (1211) imply:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1212)  all_56_2 = e2
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (46), (51), (60), (63), (77), (94),
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (107), (117), (128), (885), (1015), (1163),
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1171), (1212) are inconsistent by sub-proof #476.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1213)  all_54_12 = e0
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (97), (1194), (1213) are inconsistent by sub-proof
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #708.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1214)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_19) = all_57_4 & op(e2, all_57_20) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_29)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1214) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1215)   ~ (all_57_29 = e0)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1216)  op(e2, e2) = all_57_29
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (128), (1215), (1216) are inconsistent by
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1334.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1217)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1217) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1218)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1218) implies:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1219)  op(e1, e3) = e1
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (1172), (1219) are inconsistent by
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1251.
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1220)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e1, all_57_24) = all_57_11 & op(e1,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_30 & op(e1, e0) = all_57_24 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_30 = e0) & op(e1, all_57_22) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1) = all_57_30 & op(e1, e0) = e1 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 & $i(all_57_22) & $i(all_57_23) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_15 = e0) & op(e0, all_57_25) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 op(e0, all_57_27) = all_57_14 & op(e0,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_31) = all_57_15 & op(e0, e3) =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = all_57_31 & $i(all_57_12) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_13) & $i(all_57_14) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_15) & $i(all_57_25) &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     all_57_26 = e0 & op(e2, e0) = e0) |
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                       e0) = e0)))))
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1220) gives:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1221)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           $i(all_57_30)
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1221) implies:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1222)  op(e2, e1) = e1
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (117), (1027), (1222) are inconsistent by
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1148.
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1223)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_57_30 = e0) & op(e1, all_57_22) =
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1) = all_57_30 & op(e1, e0) = e1 &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, all_57_25) = all_57_12 & op(e0,
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) =
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               op(e0, e3) = all_57_25 & op(e0, e2) =
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_26 & op(e0, e0) = all_57_31 &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               & $i(all_57_15) & $i(all_57_25) &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   all_57_26 = e0 & op(e2, e0) = e0) |
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                     e0) = e0))))
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1223) implies:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1224)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_30) = all_57_10 & op(e1, e3) =
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             op(e0, all_57_27) = all_57_14 & op(e0,
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               all_57_31) = all_57_15 & op(e0, e3) =
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 all_57_27 = e0 & op(e1, e0) = e0)))
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (36), (63), (71), (90), (116), (126), (133),
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1163), (1181), (1224) are inconsistent by
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #792.
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | |   (1225)  all_56_3 = e3 & op(e2, e2) = e3
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1225) implies:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | |   (1226)  op(e2, e2) = e3
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (63), (128), (1226) are inconsistent by
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1015.
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | |   (1227)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | |             e3 & op(e2, e0) = e3)
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1227) gives:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | |   (1228)  all_56_5 = e3 & op(e2, e1) = e3
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1228) implies:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | |   (1229)  all_56_5 = e3
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (40), (46), (51), (60), (63), (77), (94),
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | |            (117), (128), (885), (1015), (1163), (1171),
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | |            (1229) are inconsistent by sub-proof #477.
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | |   (1230)  all_56_10 = e3 & op(e2, e0) = e3
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1230) implies:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | |   (1231)  all_56_10 = e3
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (1015), (1231) are inconsistent by sub-proof
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | |            #1489.
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |   (1232)  all_56_12 = e0 & op(e0, e3) = e0
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1232) implies:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |   (1233)  op(e0, e3) = e0
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (63), (1163), (1233) are inconsistent by
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1589.
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |   (1234)  all_56_13 = e1 & op(e0, e2) = e1
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | ALPHA: (1234) implies:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |   (1235)  all_56_13 = e1
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1159), (1235) imply:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |   (1236)  e2 = e1
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | SIMP: (1236) implies:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |   (1237)  e2 = e1
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1023), (1237) imply:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |   (1238)  all_56_11 = e1
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (27), (34), (37), (40), (46), (63), (79),
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |            (94), (112), (113), (117), (136), (1238) are
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #544.
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | |   (1239)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.00/29.75  | | | | | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 185.00/29.75  | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (16), (18), (23), (27), (33), (40),
% 185.00/29.75  | | | | | | | | | | | | | | | | | |            (46), (63), (64), (94), (105), (117), (136),
% 185.00/29.75  | | | | | | | | | | | | | | | | | |            (1239) are inconsistent by sub-proof #595.
% 185.00/29.75  | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | |   (1240)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 185.00/29.75  | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 185.00/29.75  | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | REF_CLOSE: (46), (63), (94), (136), (1023), (1240) are
% 185.00/29.75  | | | | | | | | | | | | | |            inconsistent by sub-proof #1453.
% 185.00/29.75  | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | |   (1241)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.00/29.75  | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | REF_CLOSE: (898), (901), (908), (909), (1241) are
% 185.00/29.75  | | | | | | | | | | | | |            inconsistent by sub-proof #464.
% 185.00/29.75  | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | |   (1242)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | ALPHA: (1242) implies:
% 185.00/29.75  | | | | | | | | | | | |   (1243)  all_56_10 = e2
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | COMBINE_EQS: (1015), (1243) imply:
% 185.00/29.75  | | | | | | | | | | | |   (1244)  e2 = e1
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | SIMP: (1244) implies:
% 185.00/29.75  | | | | | | | | | | | |   (1245)  e2 = e1
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | COMBINE_EQS: (1023), (1245) imply:
% 185.00/29.75  | | | | | | | | | | | |   (1246)  all_56_11 = e1
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | REF_CLOSE: (18), (27), (34), (37), (40), (46), (63), (79),
% 185.00/29.75  | | | | | | | | | | | |            (94), (112), (113), (117), (136), (1246) are
% 185.00/29.75  | | | | | | | | | | | |            inconsistent by sub-proof #544.
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | |   (1247)  all_56_15 = e2 & op(e0, e0) = e2
% 185.00/29.75  | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | ALPHA: (1247) implies:
% 185.00/29.75  | | | | | | | | | |   (1248)  op(e0, e0) = e2
% 185.00/29.75  | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | REF_CLOSE: (4), (48), (63), (1248) are inconsistent by
% 185.00/29.75  | | | | | | | | | |            sub-proof #1511.
% 185.00/29.75  | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | 
% 185.00/29.75  | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | 
% 185.00/29.75  | | | | | | | End of split
% 185.00/29.75  | | | | | | | 
% 185.00/29.75  | | | | | | End of split
% 185.00/29.75  | | | | | | 
% 185.00/29.75  | | | | | End of split
% 185.00/29.75  | | | | | 
% 185.00/29.75  | | | | Case 2:
% 185.00/29.75  | | | | | 
% 185.00/29.75  | | | | |   (1249)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.75  | | | | | 
% 185.00/29.75  | | | | | REF_CLOSE: (4), (11), (14), (16), (18), (23), (27), (28), (29), (32),
% 185.00/29.75  | | | | |            (33), (34), (35), (37), (40), (46), (51), (60), (63), (64),
% 185.00/29.75  | | | | |            (77), (78), (79), (94), (99), (104), (105), (107), (109),
% 185.00/29.75  | | | | |            (112), (113), (115), (117), (128), (131), (136), (885),
% 185.00/29.75  | | | | |            (1249) are inconsistent by sub-proof #474.
% 185.00/29.75  | | | | | 
% 185.00/29.75  | | | | End of split
% 185.00/29.75  | | | | 
% 185.00/29.75  | | | Case 2:
% 185.00/29.75  | | | | 
% 185.00/29.75  | | | |   (1250)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0,
% 185.00/29.75  | | | |               e3) = e2)
% 185.00/29.75  | | | | 
% 185.00/29.75  | | | | BETA: splitting (1250) gives:
% 185.00/29.75  | | | | 
% 185.00/29.75  | | | | Case 1:
% 185.00/29.75  | | | | | 
% 185.00/29.75  | | | | |   (1251)  all_56_6 = e2 & op(e1, e3) = e2
% 185.00/29.75  | | | | | 
% 185.00/29.75  | | | | | ALPHA: (1251) implies:
% 185.00/29.75  | | | | |   (1252)  all_56_6 = e2
% 185.00/29.75  | | | | | 
% 185.00/29.75  | | | | | BETA: splitting (34) gives:
% 185.00/29.75  | | | | | 
% 185.00/29.75  | | | | | Case 1:
% 185.00/29.75  | | | | | | 
% 185.00/29.75  | | | | | |   (1253)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 &
% 185.00/29.75  | | | | | |             op(e1, e2) = e0)
% 185.00/29.75  | | | | | | 
% 185.00/29.75  | | | | | | BETA: splitting (1253) gives:
% 185.00/29.75  | | | | | | 
% 185.00/29.75  | | | | | | Case 1:
% 185.00/29.75  | | | | | | | 
% 185.00/29.75  | | | | | | |   (1254)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.75  | | | | | | | 
% 185.00/29.75  | | | | | | | REF_CLOSE: (40), (1252), (1254) are inconsistent by sub-proof
% 185.00/29.75  | | | | | | |            #1455.
% 185.00/29.75  | | | | | | | 
% 185.00/29.75  | | | | | | Case 2:
% 185.00/29.75  | | | | | | | 
% 185.00/29.75  | | | | | | |   (1255)  all_56_7 = e0 & op(e1, e2) = e0
% 185.00/29.75  | | | | | | | 
% 185.00/29.75  | | | | | | | REF_CLOSE: (37), (63), (113), (1255) are inconsistent by sub-proof
% 185.00/29.75  | | | | | | |            #1199.
% 185.00/29.75  | | | | | | | 
% 185.00/29.75  | | | | | | End of split
% 185.00/29.75  | | | | | | 
% 185.00/29.75  | | | | | Case 2:
% 185.00/29.75  | | | | | | 
% 185.00/29.75  | | | | | |   (1256)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 &
% 185.00/29.75  | | | | | |             op(e1, e0) = e0)
% 185.00/29.75  | | | | | | 
% 185.00/29.75  | | | | | | BETA: splitting (1256) gives:
% 185.00/29.75  | | | | | | 
% 185.00/29.75  | | | | | | Case 1:
% 185.00/29.75  | | | | | | | 
% 185.00/29.75  | | | | | | |   (1257)  all_56_8 = e0 & op(e1, e1) = e0
% 185.00/29.75  | | | | | | | 
% 185.00/29.75  | | | | | | | ALPHA: (1257) implies:
% 185.00/29.75  | | | | | | |   (1258)  op(e1, e1) = e0
% 185.00/29.75  | | | | | | | 
% 185.00/29.75  | | | | | | | REF_CLOSE: (18), (63), (136), (1258) are inconsistent by sub-proof
% 185.00/29.75  | | | | | | |            #1619.
% 185.00/29.75  | | | | | | | 
% 185.00/29.75  | | | | | | Case 2:
% 185.00/29.75  | | | | | | | 
% 185.00/29.75  | | | | | | |   (1259)  all_56_11 = e0 & op(e1, e0) = e0
% 185.00/29.75  | | | | | | | 
% 185.00/29.75  | | | | | | | ALPHA: (1259) implies:
% 185.00/29.75  | | | | | | |   (1260)  all_56_11 = e0
% 185.00/29.75  | | | | | | | 
% 185.00/29.75  | | | | | | | BETA: splitting (131) gives:
% 185.00/29.75  | | | | | | | 
% 185.00/29.75  | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | 
% 185.00/29.75  | | | | | | | |   (1261)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 &
% 185.00/29.75  | | | | | | | |             op(e2, e3) = e0)
% 185.00/29.75  | | | | | | | | 
% 185.00/29.75  | | | | | | | | BETA: splitting (1261) gives:
% 185.00/29.75  | | | | | | | | 
% 185.00/29.75  | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | 
% 185.00/29.75  | | | | | | | | |   (1262)  all_56_0 = e0 & op(e3, e3) = e0
% 185.00/29.75  | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | ALPHA: (1262) implies:
% 185.00/29.75  | | | | | | | | |   (1263)  op(e3, e3) = e0
% 185.00/29.75  | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | REF_CLOSE: (11), (63), (104), (1263) are inconsistent by
% 185.00/29.75  | | | | | | | | |            sub-proof #1624.
% 185.00/29.75  | | | | | | | | | 
% 185.00/29.75  | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | 
% 185.00/29.75  | | | | | | | | |   (1264)  all_56_2 = e0 & op(e2, e3) = e0
% 185.00/29.75  | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | ALPHA: (1264) implies:
% 185.00/29.75  | | | | | | | | |   (1265)  all_56_2 = e0
% 185.00/29.75  | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | BETA: splitting (91) gives:
% 185.00/29.75  | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | |   (1266)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 185.00/29.75  | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 185.00/29.75  | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | BETA: splitting (1266) gives:
% 185.00/29.75  | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | |   (1267)  all_56_9 = e2 & op(e3, e0) = e2
% 185.00/29.75  | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | ALPHA: (1267) implies:
% 185.00/29.75  | | | | | | | | | | |   (1268)  all_56_9 = e2
% 185.00/29.75  | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | BETA: splitting (29) gives:
% 185.00/29.75  | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | |   (1269)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 185.00/29.75  | | | | | | | | | | | |             & op(e3, e2) = e0)
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | REF_CLOSE: (11), (63), (104), (109), (115), (1269) are
% 185.00/29.75  | | | | | | | | | | | |            inconsistent by sub-proof #1060.
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | |   (1270)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 185.00/29.75  | | | | | | | | | | | |             & op(e3, e0) = e0)
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | BETA: splitting (1270) gives:
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | |   (1271)  all_56_4 = e0 & op(e3, e1) = e0
% 185.00/29.75  | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | ALPHA: (1271) implies:
% 185.00/29.75  | | | | | | | | | | | | |   (1272)  all_56_4 = e0
% 185.00/29.75  | | | | | | | | | | | | |   (1273)  op(e3, e1) = e0
% 185.00/29.75  | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | BETA: splitting (28) gives:
% 185.00/29.75  | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | |   (1274)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.00/29.75  | | | | | | | | | | | | | |             e1 & op(e2, e0) = e1)
% 185.00/29.75  | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | BETA: splitting (1274) gives:
% 185.00/29.75  | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | |   (1275)  all_56_9 = e1 & op(e3, e0) = e1
% 185.00/29.75  | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | REF_CLOSE: (117), (1268), (1275) are inconsistent by
% 185.00/29.75  | | | | | | | | | | | | | | |            sub-proof #1565.
% 185.00/29.75  | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | |   (1276)  all_56_10 = e1 & op(e2, e0) = e1
% 185.00/29.75  | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | ALPHA: (1276) implies:
% 185.00/29.75  | | | | | | | | | | | | | | |   (1277)  all_56_10 = e1
% 185.00/29.75  | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 185.00/29.75  | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | |   (1278)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 185.00/29.75  | | | | | | | | | | | | | | | |             & op(e1, e2) = e3)
% 185.00/29.75  | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | BETA: splitting (1278) gives:
% 185.00/29.75  | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | |   (1279)  all_56_6 = e3 & op(e1, e3) = e3
% 185.00/29.75  | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | ALPHA: (1279) implies:
% 185.00/29.75  | | | | | | | | | | | | | | | | |   (1280)  all_56_6 = e3
% 185.00/29.75  | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (1252), (1280) are inconsistent by sub-proof
% 185.00/29.75  | | | | | | | | | | | | | | | | |            #1454.
% 185.00/29.75  | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | |   (1281)  all_56_7 = e3 & op(e1, e2) = e3
% 185.00/29.75  | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | ALPHA: (1281) implies:
% 185.00/29.75  | | | | | | | | | | | | | | | | |   (1282)  all_56_7 = e3
% 185.00/29.75  | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | BETA: splitting (51) gives:
% 185.00/29.75  | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | |   (1283)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 185.00/29.75  | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e3)
% 185.00/29.75  | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | BETA: splitting (1283) gives:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |   (1284)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | ALPHA: (1284) implies:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |   (1285)  op(e3, e3) = e3
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (94), (885), (1285) are inconsistent by
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |            sub-proof #1594.
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |   (1286)  all_56_2 = e3 & op(e2, e3) = e3
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (1265), (1286) are inconsistent by sub-proof
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |            #868.
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | |   (1287)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 185.00/29.75  | | | | | | | | | | | | | | | | | |             e3 & op(e0, e3) = e3)
% 185.00/29.75  | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | BETA: splitting (1287) gives:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |   (1288)  all_56_6 = e3 & op(e1, e3) = e3
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | ALPHA: (1288) implies:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |   (1289)  all_56_6 = e3
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1252), (1289) imply:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |   (1290)  e3 = e2
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1282), (1290) imply:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |   (1291)  all_56_7 = e2
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (46), (63), (94), (112), (136), (1252),
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |            (1260), (1291) are inconsistent by sub-proof #452.
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |   (1292)  all_56_12 = e3 & op(e0, e3) = e3
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | ALPHA: (1292) implies:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | |   (1293)  op(e0, e3) = e3
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | |   (1294)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | |             & op(e2, e2) = e2)
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1294) gives:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |   (1295)  all_56_2 = e2 & op(e2, e3) = e2
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1295) implies:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |   (1296)  all_56_2 = e2
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | |   (1297)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | |             & op(e2, e3) = e1)
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (117), (885), (1296), (1297) are
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #481.
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | |   (1298)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | |             e1 & op(e0, e3) = e1)
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (60), (63), (117), (1252), (1293), (1298)
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #451.
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |   (1299)  all_56_3 = e2 & op(e2, e2) = e2
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1299) implies:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |   (1300)  op(e2, e2) = e2
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (63), (128), (1300) are inconsistent by
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1586.
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | |   (1301)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | |             e2 & op(e2, e0) = e2)
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1301) gives:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |   (1302)  all_56_5 = e2 & op(e2, e1) = e2
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1302) implies:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |   (1303)  op(e2, e1) = e2
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (27), (40), (46), (63), (94), (99), (105),
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |            (107), (117), (128), (136), (1265), (1272),
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |            (1273), (1277), (1303) are inconsistent by
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |            sub-proof #471.
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |   (1304)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (16), (18), (23), (27),
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |            (28), (29), (33), (34), (35), (37), (40), (46),
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |            (48), (63), (64), (77), (79), (91), (94), (99),
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |            (104), (105), (107), (109), (112), (113), (115),
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |            (117), (128), (136), (1252), (1260), (1265),
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | |            (1304) are inconsistent by sub-proof #448.
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | |   (1305)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 185.00/29.75  | | | | | | | | | | | | | | | |             e3 & op(e1, e0) = e3)
% 185.00/29.75  | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | | REF_CLOSE: (27), (46), (63), (136), (1260), (1305) are
% 185.00/29.75  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #447.
% 185.00/29.75  | | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | |   (1306)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.00/29.75  | | | | | | | | | | | | | |             e1 & op(e0, e0) = e1)
% 185.00/29.75  | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (18), (27), (34), (37), (40), (46),
% 185.00/29.75  | | | | | | | | | | | | | |            (63), (79), (94), (112), (113), (117), (136),
% 185.00/29.75  | | | | | | | | | | | | | |            (1306) are inconsistent by sub-proof #543.
% 185.00/29.75  | | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | |   (1307)  all_56_9 = e0 & op(e3, e0) = e0
% 185.00/29.75  | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | | REF_CLOSE: (40), (1268), (1307) are inconsistent by sub-proof
% 185.00/29.75  | | | | | | | | | | | | |            #1574.
% 185.00/29.75  | | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | |   (1308)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.75  | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | REF_CLOSE: (4), (8), (11), (14), (16), (18), (23), (27),
% 185.00/29.75  | | | | | | | | | | |            (28), (29), (33), (34), (35), (37), (40), (46),
% 185.00/29.75  | | | | | | | | | | |            (48), (63), (64), (77), (79), (91), (94), (99),
% 185.00/29.75  | | | | | | | | | | |            (104), (105), (107), (109), (112), (113), (115),
% 185.00/29.75  | | | | | | | | | | |            (117), (128), (136), (1252), (1260), (1265),
% 185.00/29.75  | | | | | | | | | | |            (1308) are inconsistent by sub-proof #448.
% 185.00/29.75  | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | |   (1309)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 185.00/29.75  | | | | | | | | | |             e2 & op(e0, e0) = e2)
% 185.00/29.75  | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | BETA: splitting (1309) gives:
% 185.00/29.75  | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | |   (1310)  all_56_11 = e2 & op(e1, e0) = e2
% 185.00/29.75  | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | ALPHA: (1310) implies:
% 185.00/29.75  | | | | | | | | | | |   (1311)  all_56_11 = e2
% 185.00/29.75  | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | BETA: splitting (34) gives:
% 185.00/29.75  | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | |   (1312)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 185.00/29.75  | | | | | | | | | | | |             & op(e1, e2) = e0)
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | REF_CLOSE: (37), (40), (63), (113), (1252), (1312) are
% 185.00/29.75  | | | | | | | | | | | |            inconsistent by sub-proof #1168.
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | | REF_CLOSE: (18), (40), (63), (136), (1256), (1311) are
% 185.00/29.75  | | | | | | | | | | | |            inconsistent by sub-proof #1422.
% 185.00/29.75  | | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | |   (1313)  all_56_15 = e2 & op(e0, e0) = e2
% 185.00/29.75  | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | ALPHA: (1313) implies:
% 185.00/29.75  | | | | | | | | | | |   (1314)  op(e0, e0) = e2
% 185.00/29.75  | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | | REF_CLOSE: (4), (48), (63), (1314) are inconsistent by
% 185.00/29.75  | | | | | | | | | | |            sub-proof #1511.
% 185.00/29.75  | | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | | 
% 185.00/29.75  | | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | | 
% 185.00/29.75  | | | | | | | | End of split
% 185.00/29.75  | | | | | | | | 
% 185.00/29.75  | | | | | | | Case 2:
% 185.00/29.75  | | | | | | | | 
% 185.00/29.75  | | | | | | | |   (1315)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 &
% 185.00/29.75  | | | | | | | |             op(e0, e3) = e0)
% 185.00/29.75  | | | | | | | | 
% 185.00/29.75  | | | | | | | | BETA: splitting (1315) gives:
% 185.00/29.75  | | | | | | | | 
% 185.00/29.75  | | | | | | | | Case 1:
% 185.00/29.75  | | | | | | | | | 
% 185.00/29.76  | | | | | | | | |   (1316)  all_56_6 = e0 & op(e1, e3) = e0
% 185.00/29.76  | | | | | | | | | 
% 185.00/29.76  | | | | | | | | | REF_CLOSE: (40), (1252), (1316) are inconsistent by sub-proof
% 185.00/29.76  | | | | | | | | |            #1455.
% 185.00/29.76  | | | | | | | | | 
% 185.00/29.76  | | | | | | | | Case 2:
% 185.00/29.76  | | | | | | | | | 
% 185.00/29.76  | | | | | | | | |   (1317)  all_56_12 = e0 & op(e0, e3) = e0
% 185.00/29.76  | | | | | | | | | 
% 185.00/29.76  | | | | | | | | | ALPHA: (1317) implies:
% 185.00/29.76  | | | | | | | | |   (1318)  all_56_12 = e0
% 185.00/29.76  | | | | | | | | |   (1319)  op(e0, e3) = e0
% 185.00/29.76  | | | | | | | | | 
% 185.00/29.76  | | | | | | | | | REF_CLOSE: (18), (27), (32), (46), (51), (63), (94), (117),
% 185.00/29.76  | | | | | | | | |            (885), (1252), (1318), (1319) are inconsistent by
% 185.00/29.76  | | | | | | | | |            sub-proof #445.
% 185.00/29.76  | | | | | | | | | 
% 185.00/29.76  | | | | | | | | End of split
% 185.00/29.76  | | | | | | | | 
% 185.00/29.76  | | | | | | | End of split
% 185.00/29.76  | | | | | | | 
% 185.00/29.76  | | | | | | End of split
% 185.00/29.76  | | | | | | 
% 185.00/29.76  | | | | | End of split
% 185.00/29.76  | | | | | 
% 185.00/29.76  | | | | Case 2:
% 185.00/29.76  | | | | | 
% 185.00/29.76  | | | | |   (1320)  all_56_12 = e2 & op(e0, e3) = e2
% 185.00/29.76  | | | | | 
% 185.00/29.76  | | | | | ALPHA: (1320) implies:
% 185.00/29.76  | | | | |   (1321)  all_56_12 = e2
% 185.00/29.76  | | | | | 
% 185.00/29.76  | | | | | REF_CLOSE: (4), (11), (16), (18), (27), (29), (32), (34), (35), (37),
% 185.00/29.76  | | | | |            (40), (46), (48), (51), (60), (63), (77), (79), (91), (94),
% 185.00/29.76  | | | | |            (99), (104), (105), (107), (109), (112), (113), (115),
% 185.00/29.76  | | | | |            (117), (128), (131), (136), (885), (1321) are inconsistent
% 185.00/29.76  | | | | |            by sub-proof #467.
% 185.00/29.76  | | | | | 
% 185.00/29.76  | | | | End of split
% 185.00/29.76  | | | | 
% 185.00/29.76  | | | End of split
% 185.00/29.76  | | | 
% 185.00/29.76  | | End of split
% 185.00/29.76  | | 
% 185.00/29.76  | End of split
% 185.00/29.76  | 
% 185.00/29.76  End of proof
% 185.00/29.76  
% 185.00/29.76  Sub-proof #445 shows that the following formulas are inconsistent:
% 185.00/29.76  ----------------------------------------------------------------
% 185.00/29.76    (1)  all_56_6 = e2
% 185.00/29.76    (2)   ~ (e1 = e0)
% 185.00/29.76    (3)   ~ (e3 = e0)
% 185.00/29.76    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.00/29.76         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.00/29.76    (5)   ~ (e3 = e1)
% 185.00/29.76    (6)  op(e3, e3) = e2
% 185.00/29.76    (7)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.76         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.76    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.76    (9)  all_56_12 = e0
% 185.00/29.76    (10)   ~ (e3 = e2)
% 185.00/29.76    (11)   ~ (e2 = e1)
% 185.00/29.76    (12)  op(e0, e3) = e0
% 185.00/29.76  
% 185.00/29.76  Begin of proof
% 185.00/29.76  | 
% 185.00/29.76  | BETA: splitting (4) gives:
% 185.00/29.76  | 
% 185.00/29.76  | Case 1:
% 185.00/29.76  | | 
% 185.00/29.76  | |   (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 185.00/29.76  | |           e1)
% 185.00/29.76  | | 
% 185.00/29.76  | | BETA: splitting (13) gives:
% 185.00/29.76  | | 
% 185.00/29.76  | | Case 1:
% 185.00/29.76  | | | 
% 185.00/29.76  | | |   (14)  all_56_0 = e1 & op(e3, e3) = e1
% 185.00/29.76  | | | 
% 185.00/29.76  | | | ALPHA: (14) implies:
% 185.00/29.76  | | |   (15)  op(e3, e3) = e1
% 185.00/29.76  | | | 
% 185.00/29.76  | | | REF_CLOSE: (6), (8), (11), (15) are inconsistent by sub-proof #1582.
% 185.00/29.76  | | | 
% 185.00/29.76  | | Case 2:
% 185.00/29.76  | | | 
% 185.00/29.76  | | |   (16)  all_56_2 = e1 & op(e2, e3) = e1
% 185.00/29.76  | | | 
% 185.00/29.76  | | | ALPHA: (16) implies:
% 185.00/29.76  | | |   (17)  all_56_2 = e1
% 185.00/29.76  | | | 
% 185.00/29.76  | | | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (10), (17) are inconsistent
% 185.00/29.76  | | |            by sub-proof #446.
% 185.00/29.76  | | | 
% 185.00/29.76  | | End of split
% 185.00/29.76  | | 
% 185.00/29.76  | Case 2:
% 185.00/29.76  | | 
% 185.00/29.76  | |   (18)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 185.00/29.76  | |           e1)
% 185.00/29.76  | | 
% 185.00/29.76  | | BETA: splitting (18) gives:
% 185.00/29.76  | | 
% 185.00/29.76  | | Case 1:
% 185.00/29.76  | | | 
% 185.00/29.76  | | |   (19)  all_56_6 = e1 & op(e1, e3) = e1
% 185.00/29.76  | | | 
% 185.00/29.76  | | | REF_CLOSE: (1), (11), (19) are inconsistent by sub-proof #996.
% 185.00/29.76  | | | 
% 185.00/29.76  | | Case 2:
% 185.00/29.76  | | | 
% 185.00/29.76  | | |   (20)  all_56_12 = e1 & op(e0, e3) = e1
% 185.00/29.76  | | | 
% 185.00/29.76  | | | ALPHA: (20) implies:
% 185.00/29.76  | | |   (21)  op(e0, e3) = e1
% 185.00/29.76  | | | 
% 185.00/29.76  | | | REF_CLOSE: (2), (8), (12), (21) are inconsistent by sub-proof #1589.
% 185.00/29.76  | | | 
% 185.00/29.76  | | End of split
% 185.00/29.76  | | 
% 185.00/29.76  | End of split
% 185.00/29.76  | 
% 185.00/29.76  End of proof
% 185.00/29.76  
% 185.00/29.76  Sub-proof #446 shows that the following formulas are inconsistent:
% 185.00/29.76  ----------------------------------------------------------------
% 185.00/29.76    (1)  all_56_6 = e2
% 185.00/29.76    (2)  all_56_2 = e1
% 185.00/29.76    (3)   ~ (e3 = e0)
% 185.00/29.76    (4)   ~ (e3 = e1)
% 185.00/29.76    (5)  op(e3, e3) = e2
% 185.00/29.76    (6)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.00/29.76         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.00/29.76    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.76    (8)  all_56_12 = e0
% 185.00/29.76    (9)   ~ (e3 = e2)
% 185.00/29.76  
% 185.00/29.76  Begin of proof
% 185.00/29.76  | 
% 185.00/29.76  | BETA: splitting (6) gives:
% 185.00/29.76  | 
% 185.00/29.76  | Case 1:
% 185.00/29.76  | | 
% 185.00/29.76  | |   (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 185.00/29.76  | |           e3)
% 185.00/29.76  | | 
% 185.00/29.76  | | BETA: splitting (10) gives:
% 185.00/29.76  | | 
% 185.00/29.76  | | Case 1:
% 185.00/29.76  | | | 
% 185.00/29.76  | | |   (11)  all_56_0 = e3 & op(e3, e3) = e3
% 185.00/29.76  | | | 
% 185.00/29.76  | | | ALPHA: (11) implies:
% 185.00/29.76  | | |   (12)  op(e3, e3) = e3
% 185.00/29.76  | | | 
% 185.00/29.76  | | | REF_CLOSE: (5), (7), (9), (12) are inconsistent by sub-proof #1594.
% 185.00/29.76  | | | 
% 185.00/29.76  | | Case 2:
% 185.00/29.76  | | | 
% 185.00/29.76  | | |   (13)  all_56_2 = e3 & op(e2, e3) = e3
% 185.00/29.76  | | | 
% 185.00/29.76  | | | REF_CLOSE: (2), (4), (13) are inconsistent by sub-proof #1531.
% 185.00/29.76  | | | 
% 185.00/29.76  | | End of split
% 185.00/29.76  | | 
% 185.00/29.76  | Case 2:
% 185.00/29.76  | | 
% 185.00/29.76  | |   (14)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 185.00/29.76  | |           e3)
% 185.00/29.76  | | 
% 185.00/29.76  | | BETA: splitting (14) gives:
% 185.00/29.76  | | 
% 185.00/29.76  | | Case 1:
% 185.00/29.76  | | | 
% 185.00/29.76  | | |   (15)  all_56_6 = e3 & op(e1, e3) = e3
% 185.00/29.76  | | | 
% 185.00/29.76  | | | REF_CLOSE: (1), (9), (15) are inconsistent by sub-proof #1167.
% 185.00/29.76  | | | 
% 185.00/29.76  | | Case 2:
% 185.00/29.76  | | | 
% 185.00/29.76  | | |   (16)  all_56_12 = e3 & op(e0, e3) = e3
% 185.00/29.76  | | | 
% 185.00/29.76  | | | REF_CLOSE: (3), (8), (16) are inconsistent by sub-proof #1533.
% 185.00/29.76  | | | 
% 185.00/29.76  | | End of split
% 185.00/29.76  | | 
% 185.00/29.76  | End of split
% 185.00/29.76  | 
% 185.00/29.76  End of proof
% 185.00/29.76  
% 185.00/29.76  Sub-proof #447 shows that the following formulas are inconsistent:
% 185.00/29.76  ----------------------------------------------------------------
% 185.00/29.76    (1)   ~ (e3 = e0)
% 185.00/29.76    (2)   ~ (e3 = e1)
% 185.00/29.76    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.76    (4)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.00/29.76    (5)  all_56_11 = e0
% 185.00/29.76    (6)  op(e1, e1) = e1
% 185.00/29.76  
% 185.00/29.76  Begin of proof
% 185.00/29.76  | 
% 185.00/29.76  | BETA: splitting (4) gives:
% 185.00/29.76  | 
% 185.00/29.76  | Case 1:
% 185.00/29.76  | | 
% 185.00/29.76  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 185.00/29.76  | | 
% 185.00/29.76  | | ALPHA: (7) implies:
% 185.00/29.76  | |   (8)  op(e1, e1) = e3
% 185.00/29.76  | | 
% 185.00/29.76  | | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #1541.
% 185.00/29.76  | | 
% 185.00/29.76  | Case 2:
% 185.00/29.76  | | 
% 185.00/29.76  | |   (9)  all_56_11 = e3 & op(e1, e0) = e3
% 185.00/29.76  | | 
% 185.00/29.76  | | ALPHA: (9) implies:
% 185.00/29.76  | |   (10)  all_56_11 = e3
% 185.00/29.76  | | 
% 185.00/29.76  | | REF_CLOSE: (1), (5), (10) are inconsistent by sub-proof #1163.
% 185.00/29.76  | | 
% 185.00/29.76  | End of split
% 185.00/29.76  | 
% 185.00/29.76  End of proof
% 185.00/29.76  
% 185.00/29.76  Sub-proof #448 shows that the following formulas are inconsistent:
% 185.00/29.76  ----------------------------------------------------------------
% 185.00/29.76    (1)  op(e0, e0) = all_6_2
% 185.00/29.76    (2)  all_56_6 = e2
% 185.00/29.76    (3)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.00/29.76         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.00/29.76    (4)   ~ (all_4_2 = e0)
% 185.00/29.76    (5)   ~ (all_6_2 = e1)
% 185.00/29.76    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.00/29.76         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.00/29.76    (7)   ~ (e1 = e0)
% 185.00/29.76    (8)   ~ (all_52_9 = e0)
% 185.00/29.76    (9)   ~ (e3 = e0)
% 185.00/29.76    (10)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.00/29.76          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.00/29.76    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.00/29.76          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.00/29.76    (12)  op(e2, e1) = all_52_9
% 185.00/29.76    (13)  all_56_10 = e2 & op(e2, e0) = e2
% 185.00/29.76    (14)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.00/29.76          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.00/29.76    (15)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.00/29.76          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.00/29.76    (16)  all_56_2 = e0
% 185.00/29.76    (17)   ~ (all_52_6 = e0)
% 185.00/29.76    (18)   ~ (e2 = e0)
% 185.00/29.76    (19)   ~ (e3 = e1)
% 185.00/29.76    (20)   ~ (all_6_2 = e2)
% 185.00/29.76    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.00/29.76            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.00/29.76    (22)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.00/29.76          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.00/29.76    (23)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.00/29.76          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.00/29.76    (24)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.00/29.76          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.00/29.76    (25)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.00/29.76          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.00/29.76    (26)   ~ (e3 = e2)
% 185.00/29.76    (27)  op(e3, e1) = all_52_8
% 185.00/29.76    (28)  op(e3, e3) = all_4_2
% 185.00/29.76    (29)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.00/29.76          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.00/29.76    (30)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.00/29.76          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.00/29.76    (31)  op(e3, e2) = all_52_4
% 185.00/29.76    (32)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.00/29.76          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.00/29.76    (33)  op(e1, e2) = all_52_6
% 185.00/29.76    (34)  all_56_11 = e0
% 185.00/29.76    (35)   ~ (all_52_4 = e0)
% 185.00/29.76    (36)   ~ (e2 = e1)
% 185.00/29.76    (37)  op(e2, e2) = e0
% 185.00/29.76    (38)  op(e1, e1) = e1
% 185.00/29.76  
% 185.00/29.76  Begin of proof
% 185.00/29.76  | 
% 185.00/29.76  | ALPHA: (13) implies:
% 185.00/29.76  |   (39)  all_56_10 = e2
% 185.00/29.76  | 
% 185.00/29.76  | BETA: splitting (10) gives:
% 185.00/29.76  | 
% 185.00/29.76  | Case 1:
% 185.00/29.76  | | 
% 185.00/29.76  | |   (40)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 185.00/29.76  | |           e1)
% 185.00/29.76  | | 
% 185.00/29.76  | | BETA: splitting (40) gives:
% 185.00/29.76  | | 
% 185.00/29.76  | | Case 1:
% 185.00/29.76  | | | 
% 185.00/29.76  | | |   (41)  all_56_9 = e1 & op(e3, e0) = e1
% 185.00/29.76  | | | 
% 185.00/29.76  | | | ALPHA: (41) implies:
% 185.00/29.76  | | |   (42)  all_56_9 = e1
% 185.00/29.76  | | | 
% 185.00/29.76  | | | BETA: splitting (30) gives:
% 185.00/29.76  | | | 
% 185.00/29.76  | | | Case 1:
% 185.00/29.76  | | | | 
% 185.00/29.76  | | | |   (43)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2)
% 185.00/29.76  | | | |           = e3)
% 185.00/29.76  | | | | 
% 185.00/29.76  | | | | REF_CLOSE: (9), (16), (21), (37), (43) are inconsistent by sub-proof
% 185.00/29.76  | | | |            #450.
% 185.00/29.76  | | | | 
% 185.00/29.76  | | | Case 2:
% 185.00/29.76  | | | | 
% 185.00/29.76  | | | |   (44)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0)
% 185.00/29.76  | | | |           = e3)
% 185.00/29.76  | | | | 
% 185.00/29.76  | | | | BETA: splitting (44) gives:
% 185.00/29.76  | | | | 
% 185.00/29.76  | | | | Case 1:
% 185.00/29.76  | | | | | 
% 185.00/29.76  | | | | |   (45)  all_56_5 = e3 & op(e2, e1) = e3
% 185.00/29.76  | | | | | 
% 185.00/29.76  | | | | | ALPHA: (45) implies:
% 185.00/29.76  | | | | |   (46)  all_56_5 = e3
% 185.00/29.76  | | | | |   (47)  op(e2, e1) = e3
% 185.00/29.76  | | | | | 
% 185.00/29.76  | | | | | BETA: splitting (29) gives:
% 185.00/29.76  | | | | | 
% 185.00/29.76  | | | | | Case 1:
% 185.00/29.76  | | | | | | 
% 185.00/29.76  | | | | | |   (48)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2,
% 185.00/29.76  | | | | | |             e1) = e2)
% 185.00/29.76  | | | | | | 
% 185.00/29.76  | | | | | | BETA: splitting (48) gives:
% 185.00/29.76  | | | | | | 
% 185.00/29.76  | | | | | | Case 1:
% 185.00/29.76  | | | | | | | 
% 185.00/29.76  | | | | | | |   (49)  all_56_4 = e2 & op(e3, e1) = e2
% 185.00/29.76  | | | | | | | 
% 185.00/29.76  | | | | | | | ALPHA: (49) implies:
% 185.00/29.76  | | | | | | |   (50)  all_56_4 = e2
% 185.00/29.76  | | | | | | | 
% 185.00/29.76  | | | | | | | BETA: splitting (22) gives:
% 185.00/29.76  | | | | | | | 
% 185.00/29.76  | | | | | | | Case 1:
% 185.00/29.76  | | | | | | | | 
% 185.24/29.76  | | | | | | | |   (51)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 &
% 185.24/29.76  | | | | | | | |           op(e2, e1) = e0)
% 185.24/29.76  | | | | | | | | 
% 185.24/29.76  | | | | | | | | BETA: splitting (51) gives:
% 185.24/29.76  | | | | | | | | 
% 185.24/29.76  | | | | | | | | Case 1:
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | |   (52)  all_56_4 = e0 & op(e3, e1) = e0
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | REF_CLOSE: (18), (50), (52) are inconsistent by sub-proof
% 185.24/29.76  | | | | | | | | |            #1190.
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | Case 2:
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | |   (53)  all_56_5 = e0 & op(e2, e1) = e0
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | REF_CLOSE: (8), (12), (21), (53) are inconsistent by sub-proof
% 185.24/29.76  | | | | | | | | |            #1476.
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | End of split
% 185.24/29.76  | | | | | | | | 
% 185.24/29.76  | | | | | | | Case 2:
% 185.24/29.76  | | | | | | | | 
% 185.24/29.76  | | | | | | | |   (54)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 &
% 185.24/29.76  | | | | | | | |           op(e0, e1) = e0)
% 185.24/29.76  | | | | | | | | 
% 185.24/29.76  | | | | | | | | BETA: splitting (54) gives:
% 185.24/29.76  | | | | | | | | 
% 185.24/29.76  | | | | | | | | Case 1:
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | |   (55)  all_56_8 = e0 & op(e1, e1) = e0
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | ALPHA: (55) implies:
% 185.24/29.76  | | | | | | | | |   (56)  op(e1, e1) = e0
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | REF_CLOSE: (7), (21), (38), (56) are inconsistent by sub-proof
% 185.24/29.76  | | | | | | | | |            #1619.
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | Case 2:
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | |   (57)  all_56_14 = e0 & op(e0, e1) = e0
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | ALPHA: (57) implies:
% 185.24/29.76  | | | | | | | | |   (58)  all_56_14 = e0
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | BETA: splitting (15) gives:
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | Case 1:
% 185.24/29.76  | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | |   (59)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 &
% 185.24/29.76  | | | | | | | | | |           op(e2, e2) = e1)
% 185.24/29.76  | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | REF_CLOSE: (1), (5), (7), (9), (10), (14), (16), (17), (18),
% 185.24/29.76  | | | | | | | | | |            (19), (21), (24), (26), (32), (33), (36), (37),
% 185.24/29.76  | | | | | | | | | |            (38), (39), (42), (59) are inconsistent by
% 185.24/29.76  | | | | | | | | | |            sub-proof #449.
% 185.24/29.76  | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | Case 2:
% 185.24/29.76  | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | |   (60)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1
% 185.24/29.76  | | | | | | | | | |           & op(e2, e0) = e1)
% 185.24/29.76  | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | BETA: splitting (60) gives:
% 185.24/29.76  | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | Case 1:
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | |   (61)  all_56_5 = e1 & op(e2, e1) = e1
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | | ALPHA: (61) implies:
% 185.24/29.76  | | | | | | | | | | |   (62)  op(e2, e1) = e1
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | | REF_CLOSE: (19), (21), (47), (62) are inconsistent by
% 185.24/29.76  | | | | | | | | | | |            sub-proof #1456.
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | Case 2:
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | |   (63)  all_56_10 = e1 & op(e2, e0) = e1
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | | ALPHA: (63) implies:
% 185.24/29.76  | | | | | | | | | | |   (64)  all_56_10 = e1
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | | COMBINE_EQS: (39), (64) imply:
% 185.24/29.76  | | | | | | | | | | |   (65)  e2 = e1
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | | SIMP: (65) implies:
% 185.24/29.76  | | | | | | | | | | |   (66)  e2 = e1
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | | COMBINE_EQS: (50), (66) imply:
% 185.24/29.76  | | | | | | | | | | |   (67)  all_56_4 = e1
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | | REF_CLOSE: (18), (21), (26), (29), (36), (38), (46), (58),
% 185.24/29.76  | | | | | | | | | | |            (67) are inconsistent by sub-proof #1471.
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | End of split
% 185.24/29.76  | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | End of split
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | End of split
% 185.24/29.76  | | | | | | | | 
% 185.24/29.76  | | | | | | | End of split
% 185.24/29.76  | | | | | | | 
% 185.24/29.76  | | | | | | Case 2:
% 185.24/29.76  | | | | | | | 
% 185.24/29.76  | | | | | | |   (68)  all_56_5 = e2 & op(e2, e1) = e2
% 185.24/29.76  | | | | | | | 
% 185.24/29.76  | | | | | | | ALPHA: (68) implies:
% 185.24/29.76  | | | | | | |   (69)  op(e2, e1) = e2
% 185.24/29.76  | | | | | | | 
% 185.24/29.76  | | | | | | | REF_CLOSE: (21), (26), (47), (69) are inconsistent by sub-proof
% 185.24/29.76  | | | | | | |            #1297.
% 185.24/29.76  | | | | | | | 
% 185.24/29.76  | | | | | | End of split
% 185.24/29.76  | | | | | | 
% 185.24/29.76  | | | | | Case 2:
% 185.24/29.76  | | | | | | 
% 185.24/29.76  | | | | | |   (70)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0,
% 185.24/29.76  | | | | | |             e1) = e2)
% 185.24/29.76  | | | | | | 
% 185.24/29.76  | | | | | | BETA: splitting (70) gives:
% 185.24/29.76  | | | | | | 
% 185.24/29.76  | | | | | | Case 1:
% 185.24/29.76  | | | | | | | 
% 185.24/29.76  | | | | | | |   (71)  all_56_8 = e2 & op(e1, e1) = e2
% 185.24/29.76  | | | | | | | 
% 185.24/29.76  | | | | | | | ALPHA: (71) implies:
% 185.24/29.76  | | | | | | |   (72)  op(e1, e1) = e2
% 185.24/29.76  | | | | | | | 
% 185.24/29.76  | | | | | | | REF_CLOSE: (2), (3), (7), (9), (19), (21), (26), (32), (34), (36),
% 185.24/29.76  | | | | | | |            (72) are inconsistent by sub-proof #1162.
% 185.24/29.76  | | | | | | | 
% 185.24/29.76  | | | | | | Case 2:
% 185.24/29.76  | | | | | | | 
% 185.24/29.76  | | | | | | |   (73)  all_56_14 = e2 & op(e0, e1) = e2
% 185.24/29.76  | | | | | | | 
% 185.24/29.76  | | | | | | | ALPHA: (73) implies:
% 185.24/29.76  | | | | | | |   (74)  all_56_14 = e2
% 185.24/29.76  | | | | | | | 
% 185.24/29.76  | | | | | | | BETA: splitting (22) gives:
% 185.24/29.76  | | | | | | | 
% 185.24/29.76  | | | | | | | Case 1:
% 185.24/29.76  | | | | | | | | 
% 185.24/29.76  | | | | | | | |   (75)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 &
% 185.24/29.76  | | | | | | | |           op(e2, e1) = e0)
% 185.24/29.76  | | | | | | | | 
% 185.24/29.76  | | | | | | | | BETA: splitting (75) gives:
% 185.24/29.76  | | | | | | | | 
% 185.24/29.76  | | | | | | | | Case 1:
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | |   (76)  all_56_4 = e0 & op(e3, e1) = e0
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | ALPHA: (76) implies:
% 185.24/29.76  | | | | | | | | |   (77)  all_56_4 = e0
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | BETA: splitting (15) gives:
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | Case 1:
% 185.24/29.76  | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | |   (78)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 &
% 185.24/29.76  | | | | | | | | | |           op(e2, e2) = e1)
% 185.24/29.76  | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | REF_CLOSE: (1), (5), (7), (9), (10), (14), (16), (17), (18),
% 185.24/29.76  | | | | | | | | | |            (19), (21), (24), (26), (32), (33), (36), (37),
% 185.24/29.76  | | | | | | | | | |            (38), (39), (42), (78) are inconsistent by
% 185.24/29.76  | | | | | | | | | |            sub-proof #449.
% 185.24/29.76  | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | Case 2:
% 185.24/29.76  | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | |   (79)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1
% 185.24/29.76  | | | | | | | | | |           & op(e2, e0) = e1)
% 185.24/29.76  | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | BETA: splitting (79) gives:
% 185.24/29.76  | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | Case 1:
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | |   (80)  all_56_5 = e1 & op(e2, e1) = e1
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | | ALPHA: (80) implies:
% 185.24/29.76  | | | | | | | | | | |   (81)  op(e2, e1) = e1
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | | REF_CLOSE: (1), (4), (5), (6), (7), (9), (10), (11), (14),
% 185.24/29.76  | | | | | | | | | | |            (17), (18), (19), (21), (24), (26), (27), (28),
% 185.24/29.76  | | | | | | | | | | |            (31), (32), (33), (35), (36), (38), (39), (74),
% 185.24/29.76  | | | | | | | | | | |            (81) are inconsistent by sub-proof #461.
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | Case 2:
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | |   (82)  all_56_10 = e1 & op(e2, e0) = e1
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | | ALPHA: (82) implies:
% 185.24/29.76  | | | | | | | | | | |   (83)  all_56_10 = e1
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | | REF_CLOSE: (16), (18), (21), (23), (26), (29), (36), (37),
% 185.24/29.76  | | | | | | | | | | |            (38), (46), (74), (77), (83) are inconsistent by
% 185.24/29.76  | | | | | | | | | | |            sub-proof #583.
% 185.24/29.76  | | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | | End of split
% 185.24/29.76  | | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | End of split
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | Case 2:
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | |   (84)  all_56_5 = e0 & op(e2, e1) = e0
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | | REF_CLOSE: (8), (12), (21), (84) are inconsistent by sub-proof
% 185.24/29.76  | | | | | | | | |            #1476.
% 185.24/29.76  | | | | | | | | | 
% 185.24/29.76  | | | | | | | | End of split
% 185.24/29.76  | | | | | | | | 
% 185.24/29.76  | | | | | | | Case 2:
% 185.24/29.76  | | | | | | | | 
% 185.24/29.76  | | | | | | | |   (85)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 &
% 185.24/29.76  | | | | | | | |           op(e0, e1) = e0)
% 185.24/29.76  | | | | | | | | 
% 185.24/29.76  | | | | | | | | REF_CLOSE: (7), (18), (21), (38), (74), (85) are inconsistent by
% 185.24/29.76  | | | | | | | |            sub-proof #596.
% 185.24/29.76  | | | | | | | | 
% 185.24/29.76  | | | | | | | End of split
% 185.24/29.76  | | | | | | | 
% 185.24/29.76  | | | | | | End of split
% 185.24/29.76  | | | | | | 
% 185.24/29.76  | | | | | End of split
% 185.24/29.76  | | | | | 
% 185.24/29.76  | | | | Case 2:
% 185.24/29.76  | | | | | 
% 185.24/29.76  | | | | |   (86)  all_56_10 = e3 & op(e2, e0) = e3
% 185.24/29.76  | | | | | 
% 185.24/29.76  | | | | | ALPHA: (86) implies:
% 185.24/29.76  | | | | |   (87)  all_56_10 = e3
% 185.24/29.76  | | | | | 
% 185.24/29.76  | | | | | REF_CLOSE: (1), (18), (20), (21), (25), (26), (34), (36), (42), (87)
% 185.24/29.76  | | | | |            are inconsistent by sub-proof #1498.
% 185.24/29.76  | | | | | 
% 185.24/29.76  | | | | End of split
% 185.24/29.76  | | | | 
% 185.24/29.76  | | | End of split
% 185.24/29.76  | | | 
% 185.24/29.76  | | Case 2:
% 185.24/29.76  | | | 
% 185.24/29.76  | | |   (88)  all_56_10 = e1 & op(e2, e0) = e1
% 185.24/29.76  | | | 
% 185.24/29.76  | | | REF_CLOSE: (36), (39), (88) are inconsistent by sub-proof #621.
% 185.24/29.76  | | | 
% 185.24/29.76  | | End of split
% 185.24/29.76  | | 
% 185.24/29.76  | Case 2:
% 185.24/29.76  | | 
% 185.24/29.76  | |   (89)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.24/29.76  | |           e1)
% 185.24/29.76  | | 
% 185.24/29.76  | | REF_CLOSE: (1), (5), (7), (9), (14), (17), (18), (19), (21), (24), (26),
% 185.24/29.76  | |            (32), (33), (36), (38), (89) are inconsistent by sub-proof #543.
% 185.24/29.76  | | 
% 185.24/29.76  | End of split
% 185.24/29.76  | 
% 185.24/29.76  End of proof
% 185.24/29.76  
% 185.24/29.76  Sub-proof #449 shows that the following formulas are inconsistent:
% 185.24/29.76  ----------------------------------------------------------------
% 185.24/29.76    (1)  op(e0, e0) = all_6_2
% 185.24/29.76    (2)   ~ (all_6_2 = e1)
% 185.24/29.76    (3)  all_56_10 = e2
% 185.24/29.76    (4)   ~ (e1 = e0)
% 185.24/29.76    (5)   ~ (e3 = e0)
% 185.24/29.76    (6)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.24/29.76         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.24/29.76    (7)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.24/29.76         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.24/29.76    (8)  all_56_2 = e0
% 185.24/29.76    (9)   ~ (all_52_6 = e0)
% 185.24/29.76    (10)   ~ (e2 = e0)
% 185.24/29.76    (11)   ~ (e3 = e1)
% 185.24/29.76    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.76            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.76    (13)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.24/29.76          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.24/29.76    (14)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 185.24/29.76    (15)   ~ (e3 = e2)
% 185.24/29.76    (16)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.24/29.76          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.24/29.76    (17)  op(e1, e2) = all_52_6
% 185.24/29.76    (18)  all_56_9 = e1
% 185.24/29.76    (19)   ~ (e2 = e1)
% 185.24/29.76    (20)  op(e2, e2) = e0
% 185.24/29.76    (21)  op(e1, e1) = e1
% 185.24/29.76  
% 185.24/29.76  Begin of proof
% 185.24/29.76  | 
% 185.24/29.76  | BETA: splitting (14) gives:
% 185.24/29.76  | 
% 185.24/29.76  | Case 1:
% 185.24/29.76  | | 
% 185.24/29.76  | |   (22)  all_56_2 = e1 & op(e2, e3) = e1
% 185.24/29.76  | | 
% 185.24/29.76  | | ALPHA: (22) implies:
% 185.24/29.76  | |   (23)  all_56_2 = e1
% 185.24/29.76  | | 
% 185.24/29.76  | | COMBINE_EQS: (8), (23) imply:
% 185.24/29.76  | |   (24)  e1 = e0
% 185.24/29.76  | | 
% 185.24/29.76  | | SIMP: (24) implies:
% 185.24/29.76  | |   (25)  e1 = e0
% 185.24/29.76  | | 
% 185.24/29.76  | | COMBINE_EQS: (18), (25) imply:
% 185.24/29.76  | |   (26)  all_56_9 = e0
% 185.24/29.76  | | 
% 185.24/29.76  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 185.24/29.76  | |            (15), (16), (17), (19), (21), (26) are inconsistent by sub-proof
% 185.24/29.76  | |            #539.
% 185.24/29.76  | | 
% 185.24/29.76  | Case 2:
% 185.24/29.76  | | 
% 185.24/29.76  | |   (27)  all_56_3 = e1 & op(e2, e2) = e1
% 185.24/29.76  | | 
% 185.24/29.76  | | ALPHA: (27) implies:
% 185.24/29.76  | |   (28)  op(e2, e2) = e1
% 185.24/29.76  | | 
% 185.24/29.76  | | REF_CLOSE: (4), (12), (20), (28) are inconsistent by sub-proof #1310.
% 185.24/29.76  | | 
% 185.24/29.76  | End of split
% 185.24/29.76  | 
% 185.24/29.76  End of proof
% 185.24/29.76  
% 185.24/29.76  Sub-proof #450 shows that the following formulas are inconsistent:
% 185.24/29.76  ----------------------------------------------------------------
% 185.24/29.76    (1)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 185.24/29.76    (2)   ~ (e3 = e0)
% 185.24/29.76    (3)  all_56_2 = e0
% 185.24/29.76    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.76    (5)  op(e2, e2) = e0
% 185.24/29.76  
% 185.24/29.76  Begin of proof
% 185.24/29.76  | 
% 185.24/29.76  | BETA: splitting (1) gives:
% 185.24/29.76  | 
% 185.24/29.76  | Case 1:
% 185.24/29.76  | | 
% 185.24/29.76  | |   (6)  all_56_2 = e3 & op(e2, e3) = e3
% 185.24/29.76  | | 
% 185.24/29.76  | | ALPHA: (6) implies:
% 185.24/29.76  | |   (7)  all_56_2 = e3
% 185.24/29.76  | | 
% 185.24/29.76  | | REF_CLOSE: (2), (3), (7) are inconsistent by sub-proof #700.
% 185.24/29.76  | | 
% 185.24/29.76  | Case 2:
% 185.24/29.76  | | 
% 185.24/29.76  | |   (8)  all_56_3 = e3 & op(e2, e2) = e3
% 185.24/29.76  | | 
% 185.24/29.76  | | ALPHA: (8) implies:
% 185.24/29.76  | |   (9)  op(e2, e2) = e3
% 185.24/29.76  | | 
% 185.24/29.76  | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #1015.
% 185.24/29.76  | | 
% 185.24/29.76  | End of split
% 185.24/29.76  | 
% 185.24/29.76  End of proof
% 185.24/29.76  
% 185.24/29.76  Sub-proof #451 shows that the following formulas are inconsistent:
% 185.24/29.76  ----------------------------------------------------------------
% 185.24/29.76    (1)  all_56_6 = e2
% 185.24/29.76    (2)  op(e0, e3) = e3
% 185.24/29.76    (3)   ~ (e3 = e1)
% 185.24/29.76    (4)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.24/29.76    (5)  op(e0, e3) = all_52_3
% 185.24/29.76    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.76    (7)   ~ (e2 = e1)
% 185.24/29.76  
% 185.24/29.76  Begin of proof
% 185.24/29.76  | 
% 185.24/29.76  | BETA: splitting (4) gives:
% 185.24/29.76  | 
% 185.24/29.76  | Case 1:
% 185.24/29.76  | | 
% 185.24/29.76  | |   (8)  all_56_6 = e1 & op(e1, e3) = e1
% 185.24/29.76  | | 
% 185.24/29.76  | | ALPHA: (8) implies:
% 185.24/29.76  | |   (9)  all_56_6 = e1
% 185.24/29.76  | | 
% 185.24/29.76  | | REF_CLOSE: (1), (7), (9) are inconsistent by sub-proof #1215.
% 185.24/29.76  | | 
% 185.24/29.76  | Case 2:
% 185.24/29.76  | | 
% 185.24/29.76  | |   (10)  all_56_12 = e1 & op(e0, e3) = e1
% 185.24/29.76  | | 
% 185.24/29.76  | | ALPHA: (10) implies:
% 185.24/29.76  | |   (11)  op(e0, e3) = e1
% 185.24/29.76  | | 
% 185.24/29.76  | | REF_CLOSE: (2), (3), (5), (6), (11) are inconsistent by sub-proof #1529.
% 185.24/29.76  | | 
% 185.24/29.76  | End of split
% 185.24/29.76  | 
% 185.24/29.76  End of proof
% 185.24/29.76  
% 185.24/29.76  Sub-proof #452 shows that the following formulas are inconsistent:
% 185.24/29.76  ----------------------------------------------------------------
% 185.24/29.76    (1)  all_56_7 = e2
% 185.24/29.76    (2)  all_56_6 = e2
% 185.24/29.76    (3)   ~ (e3 = e0)
% 185.24/29.76    (4)   ~ (e3 = e1)
% 185.24/29.76    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.76    (6)   ~ (e3 = e2)
% 185.24/29.76    (7)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.24/29.76         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.24/29.76    (8)  all_56_11 = e0
% 185.24/29.76    (9)  op(e1, e1) = e1
% 185.24/29.76  
% 185.24/29.76  Begin of proof
% 185.24/29.76  | 
% 185.24/29.76  | BETA: splitting (7) gives:
% 185.24/29.76  | 
% 185.24/29.76  | Case 1:
% 185.24/29.76  | | 
% 185.24/29.76  | |   (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 185.24/29.76  | |           e3)
% 185.24/29.76  | | 
% 185.24/29.76  | | BETA: splitting (10) gives:
% 185.24/29.76  | | 
% 185.24/29.76  | | Case 1:
% 185.24/29.76  | | | 
% 185.24/29.76  | | |   (11)  all_56_6 = e3 & op(e1, e3) = e3
% 185.24/29.76  | | | 
% 185.24/29.76  | | | REF_CLOSE: (2), (6), (11) are inconsistent by sub-proof #1167.
% 185.24/29.76  | | | 
% 185.24/29.76  | | Case 2:
% 185.24/29.76  | | | 
% 185.24/29.76  | | |   (12)  all_56_7 = e3 & op(e1, e2) = e3
% 185.24/29.76  | | | 
% 185.24/29.76  | | | REF_CLOSE: (1), (6), (12) are inconsistent by sub-proof #1134.
% 185.24/29.76  | | | 
% 185.24/29.76  | | End of split
% 185.24/29.76  | | 
% 185.24/29.76  | Case 2:
% 185.24/29.76  | | 
% 185.24/29.76  | |   (13)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 185.24/29.76  | |           e3)
% 185.24/29.76  | | 
% 185.24/29.76  | | REF_CLOSE: (3), (4), (5), (8), (9), (13) are inconsistent by sub-proof #507.
% 185.24/29.76  | | 
% 185.24/29.76  | End of split
% 185.24/29.76  | 
% 185.24/29.76  End of proof
% 185.24/29.76  
% 185.24/29.76  Sub-proof #453 shows that the following formulas are inconsistent:
% 185.24/29.76  ----------------------------------------------------------------
% 185.24/29.76    (1)   ~ (e3 = e0)
% 185.24/29.76    (2)   ~ (e2 = e0)
% 185.24/29.76    (3)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) = e0) |
% 185.24/29.76         (all_56_11 = e0 & op(e1, e0) = e0)
% 185.24/29.76    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.76    (5)  all_56_11 = e2
% 185.24/29.76    (6)  op(e2, e0) = all_52_13
% 185.24/29.76    (7)  all_56_9 = e3
% 185.24/29.77    (8)   ~ (all_52_13 = e0)
% 185.24/29.77  
% 185.24/29.77  Begin of proof
% 185.24/29.77  | 
% 185.24/29.77  | BETA: splitting (3) gives:
% 185.24/29.77  | 
% 185.24/29.77  | Case 1:
% 185.24/29.77  | | 
% 185.24/29.77  | |   (9)  all_56_9 = e0 & op(e3, e0) = e0
% 185.24/29.77  | | 
% 185.24/29.77  | | ALPHA: (9) implies:
% 185.24/29.77  | |   (10)  all_56_9 = e0
% 185.24/29.77  | | 
% 185.24/29.77  | | REF_CLOSE: (1), (7), (10) are inconsistent by sub-proof #510.
% 185.24/29.77  | | 
% 185.24/29.77  | Case 2:
% 185.24/29.77  | | 
% 185.24/29.77  | |   (11)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.24/29.77  | |           e0)
% 185.24/29.77  | | 
% 185.24/29.77  | | BETA: splitting (11) gives:
% 185.24/29.77  | | 
% 185.24/29.77  | | Case 1:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (12)  all_56_10 = e0 & op(e2, e0) = e0
% 185.24/29.77  | | | 
% 185.24/29.77  | | | ALPHA: (12) implies:
% 185.24/29.77  | | |   (13)  op(e2, e0) = e0
% 185.24/29.77  | | | 
% 185.24/29.77  | | | REF_CLOSE: (4), (6), (8), (13) are inconsistent by sub-proof #1504.
% 185.24/29.77  | | | 
% 185.24/29.77  | | Case 2:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (14)  all_56_11 = e0 & op(e1, e0) = e0
% 185.24/29.77  | | | 
% 185.24/29.77  | | | ALPHA: (14) implies:
% 185.24/29.77  | | |   (15)  all_56_11 = e0
% 185.24/29.77  | | | 
% 185.24/29.77  | | | REF_CLOSE: (2), (5), (15) are inconsistent by sub-proof #1500.
% 185.24/29.77  | | | 
% 185.24/29.77  | | End of split
% 185.24/29.77  | | 
% 185.24/29.77  | End of split
% 185.24/29.77  | 
% 185.24/29.77  End of proof
% 185.24/29.77  
% 185.24/29.77  Sub-proof #454 shows that the following formulas are inconsistent:
% 185.24/29.77  ----------------------------------------------------------------
% 185.24/29.77    (1)   ~ (all_4_2 = e0)
% 185.24/29.77    (2)   ~ (e1 = e0)
% 185.24/29.77    (3)  op(e3, e1) = e3
% 185.24/29.77    (4)   ~ (e3 = e0)
% 185.24/29.77    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.24/29.77         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.24/29.77    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.77    (7)  op(e3, e1) = all_52_8
% 185.24/29.77    (8)  op(e3, e3) = all_4_2
% 185.24/29.77    (9)  op(e3, e2) = all_52_4
% 185.24/29.77    (10)   ~ (all_52_4 = e0)
% 185.24/29.77    (11)  all_56_9 = e1
% 185.24/29.77  
% 185.24/29.77  Begin of proof
% 185.24/29.77  | 
% 185.24/29.77  | BETA: splitting (5) gives:
% 185.24/29.77  | 
% 185.24/29.77  | Case 1:
% 185.24/29.77  | | 
% 185.24/29.77  | |   (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 185.24/29.77  | |           e0)
% 185.24/29.77  | | 
% 185.24/29.77  | | REF_CLOSE: (1), (6), (8), (9), (10), (12) are inconsistent by sub-proof
% 185.24/29.77  | |            #1060.
% 185.24/29.77  | | 
% 185.24/29.77  | Case 2:
% 185.24/29.77  | | 
% 185.24/29.77  | |   (13)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 185.24/29.77  | |           e0)
% 185.24/29.77  | | 
% 185.24/29.77  | | BETA: splitting (13) gives:
% 185.24/29.77  | | 
% 185.24/29.77  | | Case 1:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (14)  all_56_4 = e0 & op(e3, e1) = e0
% 185.24/29.77  | | | 
% 185.24/29.77  | | | ALPHA: (14) implies:
% 185.24/29.77  | | |   (15)  op(e3, e1) = e0
% 185.24/29.77  | | | 
% 185.24/29.77  | | | REF_CLOSE: (3), (4), (6), (7), (15) are inconsistent by sub-proof #1577.
% 185.24/29.77  | | | 
% 185.24/29.77  | | Case 2:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (16)  all_56_9 = e0 & op(e3, e0) = e0
% 185.24/29.77  | | | 
% 185.24/29.77  | | | ALPHA: (16) implies:
% 185.24/29.77  | | |   (17)  all_56_9 = e0
% 185.24/29.77  | | | 
% 185.24/29.77  | | | REF_CLOSE: (2), (11), (17) are inconsistent by sub-proof #1484.
% 185.24/29.77  | | | 
% 185.24/29.77  | | End of split
% 185.24/29.77  | | 
% 185.24/29.77  | End of split
% 185.24/29.77  | 
% 185.24/29.77  End of proof
% 185.24/29.77  
% 185.24/29.77  Sub-proof #455 shows that the following formulas are inconsistent:
% 185.24/29.77  ----------------------------------------------------------------
% 185.24/29.77    (1)  all_56_6 = e0
% 185.24/29.77    (2)  e2 = e1
% 185.24/29.77    (3)   ~ (e3 = e0)
% 185.24/29.77    (4)   ~ (e2 = e0)
% 185.24/29.77    (5)   ~ (e3 = e1)
% 185.24/29.77    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.77    (7)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.24/29.77         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.24/29.77    (8)  all_56_11 = e2
% 185.24/29.77    (9)   ~ (e3 = e2)
% 185.24/29.77    (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.24/29.77          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.24/29.77    (11)   ~ (e2 = e1)
% 185.24/29.77    (12)  op(e1, e1) = e1
% 185.24/29.77  
% 185.24/29.77  Begin of proof
% 185.24/29.77  | 
% 185.24/29.77  | SIMP: (2) implies:
% 185.24/29.77  |   (13)  e2 = e1
% 185.24/29.77  | 
% 185.24/29.77  | COMBINE_EQS: (8), (13) imply:
% 185.24/29.77  |   (14)  all_56_11 = e1
% 185.24/29.77  | 
% 185.24/29.77  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (10), (11), (12), (14) are
% 185.24/29.77  |            inconsistent by sub-proof #823.
% 185.24/29.77  | 
% 185.24/29.77  End of proof
% 185.24/29.77  
% 185.24/29.77  Sub-proof #456 shows that the following formulas are inconsistent:
% 185.24/29.77  ----------------------------------------------------------------
% 185.24/29.77    (1)  op(e0, e0) = all_6_2
% 185.24/29.77    (2)   ~ (all_4_2 = e0)
% 185.24/29.77    (3)  op(e2, e1) = e2
% 185.24/29.77    (4)   ~ (all_6_2 = e1)
% 185.24/29.77    (5)   ~ (e1 = e0)
% 185.24/29.77    (6)   ~ (e3 = e0)
% 185.24/29.77    (7)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.24/29.77         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.24/29.77    (8)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.24/29.77         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.24/29.77    (9)  op(e2, e1) = all_52_9
% 185.24/29.77    (10)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.24/29.77          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.24/29.77    (11)   ~ (all_52_6 = e0)
% 185.24/29.77    (12)   ~ (e2 = e0)
% 185.24/29.77    (13)   ~ (e3 = e1)
% 185.24/29.77    (14)  op(e3, e3) = e2
% 185.24/29.77    (15)   ~ (all_6_2 = e2)
% 185.24/29.77    (16)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.24/29.77          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.24/29.77    (17)  op(e0, e3) = all_52_3
% 185.24/29.77    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.77            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.77    (19)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.24/29.77          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.24/29.77    (20)  all_56_11 = e2
% 185.24/29.77    (21)  all_56_6 = e3
% 185.24/29.77    (22)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.24/29.77          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.24/29.77    (23)   ~ (e3 = e2)
% 185.24/29.77    (24)  all_56_10 = e1
% 185.24/29.77    (25)  op(e1, e3) = e3
% 185.24/29.77    (26)  op(e3, e3) = all_4_2
% 185.24/29.77    (27)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.24/29.77          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.24/29.77    (28)   ~ (all_52_9 = e3)
% 185.24/29.77    (29)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.24/29.77          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.24/29.77    (30)  op(e1, e2) = all_52_6
% 185.24/29.77    (31)   ~ (e2 = e1)
% 185.24/29.77    (32)  op(e2, e2) = e0
% 185.24/29.77    (33)   ~ (all_4_2 = e1)
% 185.24/29.77    (34)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.24/29.77          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.24/29.77    (35)  op(e1, e1) = e1
% 185.24/29.77  
% 185.24/29.77  Begin of proof
% 185.24/29.77  | 
% 185.24/29.77  | BETA: splitting (8) gives:
% 185.24/29.77  | 
% 185.24/29.77  | Case 1:
% 185.24/29.77  | | 
% 185.24/29.77  | |   (36)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 185.24/29.77  | |           e1)
% 185.24/29.77  | | 
% 185.24/29.77  | | BETA: splitting (36) gives:
% 185.24/29.77  | | 
% 185.24/29.77  | | Case 1:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (37)  all_56_0 = e1 & op(e3, e3) = e1
% 185.24/29.77  | | | 
% 185.24/29.77  | | | ALPHA: (37) implies:
% 185.24/29.77  | | |   (38)  op(e3, e3) = e1
% 185.24/29.77  | | | 
% 185.24/29.77  | | | REF_CLOSE: (14), (18), (31), (38) are inconsistent by sub-proof #1582.
% 185.24/29.77  | | | 
% 185.24/29.77  | | Case 2:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (39)  all_56_2 = e1 & op(e2, e3) = e1
% 185.24/29.77  | | | 
% 185.24/29.77  | | | ALPHA: (39) implies:
% 185.24/29.77  | | |   (40)  all_56_2 = e1
% 185.24/29.77  | | | 
% 185.24/29.77  | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 185.24/29.77  | | |            (14), (15), (16), (17), (18), (19), (21), (22), (23), (26),
% 185.24/29.77  | | |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (40) are
% 185.24/29.77  | | |            inconsistent by sub-proof #487.
% 185.24/29.77  | | | 
% 185.24/29.77  | | End of split
% 185.24/29.77  | | 
% 185.24/29.77  | Case 2:
% 185.24/29.77  | | 
% 185.24/29.77  | |   (41)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 185.24/29.77  | |           e1)
% 185.24/29.77  | | 
% 185.24/29.77  | | BETA: splitting (41) gives:
% 185.24/29.77  | | 
% 185.24/29.77  | | Case 1:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (42)  all_56_6 = e1 & op(e1, e3) = e1
% 185.24/29.77  | | | 
% 185.24/29.77  | | | ALPHA: (42) implies:
% 185.24/29.77  | | |   (43)  all_56_6 = e1
% 185.24/29.77  | | | 
% 185.24/29.77  | | | REF_CLOSE: (5), (10), (11), (12), (18), (20), (30), (35), (43) are
% 185.24/29.77  | | |            inconsistent by sub-proof #468.
% 185.24/29.77  | | | 
% 185.24/29.77  | | Case 2:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (44)  all_56_12 = e1 & op(e0, e3) = e1
% 185.24/29.77  | | | 
% 185.24/29.77  | | | ALPHA: (44) implies:
% 185.24/29.77  | | |   (45)  op(e0, e3) = e1
% 185.24/29.77  | | | 
% 185.24/29.77  | | | BETA: splitting (34) gives:
% 185.24/29.77  | | | 
% 185.24/29.77  | | | Case 1:
% 185.24/29.77  | | | | 
% 185.24/29.77  | | | |   (46)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3)
% 185.24/29.77  | | | |           = e0)
% 185.24/29.77  | | | | 
% 185.24/29.77  | | | | REF_CLOSE: (2), (3), (6), (13), (18), (23), (24), (26), (27), (32), (46)
% 185.24/29.77  | | | |            are inconsistent by sub-proof #457.
% 185.24/29.77  | | | | 
% 185.24/29.77  | | | Case 2:
% 185.24/29.77  | | | | 
% 185.24/29.77  | | | |   (47)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3)
% 185.24/29.77  | | | |           = e0)
% 185.24/29.77  | | | | 
% 185.24/29.77  | | | | REF_CLOSE: (5), (6), (18), (25), (45), (47) are inconsistent by
% 185.24/29.77  | | | |            sub-proof #1225.
% 185.24/29.77  | | | | 
% 185.24/29.77  | | | End of split
% 185.24/29.77  | | | 
% 185.24/29.77  | | End of split
% 185.24/29.77  | | 
% 185.24/29.77  | End of split
% 185.24/29.77  | 
% 185.24/29.77  End of proof
% 185.24/29.77  
% 185.24/29.77  Sub-proof #457 shows that the following formulas are inconsistent:
% 185.24/29.77  ----------------------------------------------------------------
% 185.24/29.77    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 185.24/29.77    (2)   ~ (all_4_2 = e0)
% 185.24/29.77    (3)  op(e2, e1) = e2
% 185.24/29.77    (4)   ~ (e3 = e0)
% 185.24/29.77    (5)   ~ (e3 = e1)
% 185.24/29.77    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.77    (7)   ~ (e3 = e2)
% 185.24/29.77    (8)  all_56_10 = e1
% 185.24/29.77    (9)  op(e3, e3) = all_4_2
% 185.24/29.77    (10)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.24/29.77          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.24/29.77    (11)  op(e2, e2) = e0
% 185.24/29.77  
% 185.24/29.77  Begin of proof
% 185.24/29.77  | 
% 185.24/29.77  | BETA: splitting (1) gives:
% 185.24/29.77  | 
% 185.24/29.77  | Case 1:
% 185.24/29.77  | | 
% 185.24/29.77  | |   (12)  all_56_0 = e0 & op(e3, e3) = e0
% 185.24/29.77  | | 
% 185.24/29.77  | | ALPHA: (12) implies:
% 185.24/29.77  | |   (13)  op(e3, e3) = e0
% 185.24/29.77  | | 
% 185.24/29.77  | | REF_CLOSE: (2), (6), (9), (13) are inconsistent by sub-proof #1624.
% 185.24/29.77  | | 
% 185.24/29.77  | Case 2:
% 185.24/29.77  | | 
% 185.24/29.77  | |   (14)  all_56_2 = e0 & op(e2, e3) = e0
% 185.24/29.77  | | 
% 185.24/29.77  | | ALPHA: (14) implies:
% 185.24/29.77  | |   (15)  all_56_2 = e0
% 185.24/29.77  | | 
% 185.24/29.77  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (10), (11), (15) are inconsistent
% 185.24/29.77  | |            by sub-proof #458.
% 185.24/29.77  | | 
% 185.24/29.77  | End of split
% 185.24/29.77  | 
% 185.24/29.77  End of proof
% 185.24/29.77  
% 185.24/29.77  Sub-proof #458 shows that the following formulas are inconsistent:
% 185.24/29.77  ----------------------------------------------------------------
% 185.24/29.77    (1)  op(e2, e1) = e2
% 185.24/29.77    (2)   ~ (e3 = e0)
% 185.24/29.77    (3)  all_56_2 = e0
% 185.24/29.77    (4)   ~ (e3 = e1)
% 185.24/29.77    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.77    (6)   ~ (e3 = e2)
% 185.24/29.77    (7)  all_56_10 = e1
% 185.24/29.77    (8)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.24/29.77         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.24/29.77    (9)  op(e2, e2) = e0
% 185.24/29.77  
% 185.24/29.77  Begin of proof
% 185.24/29.77  | 
% 185.24/29.77  | BETA: splitting (8) gives:
% 185.24/29.77  | 
% 185.24/29.77  | Case 1:
% 185.24/29.77  | | 
% 185.24/29.77  | |   (10)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 185.24/29.77  | |           e3)
% 185.24/29.77  | | 
% 185.24/29.77  | | REF_CLOSE: (2), (3), (5), (9), (10) are inconsistent by sub-proof #605.
% 185.24/29.77  | | 
% 185.24/29.77  | Case 2:
% 185.24/29.77  | | 
% 185.24/29.77  | |   (11)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.24/29.77  | |           e3)
% 185.24/29.77  | | 
% 185.24/29.77  | | BETA: splitting (11) gives:
% 185.24/29.77  | | 
% 185.24/29.77  | | Case 1:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (12)  all_56_5 = e3 & op(e2, e1) = e3
% 185.24/29.77  | | | 
% 185.24/29.77  | | | ALPHA: (12) implies:
% 185.24/29.77  | | |   (13)  op(e2, e1) = e3
% 185.24/29.77  | | | 
% 185.24/29.77  | | | REF_CLOSE: (1), (5), (6), (13) are inconsistent by sub-proof #1297.
% 185.24/29.77  | | | 
% 185.24/29.77  | | Case 2:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (14)  all_56_10 = e3 & op(e2, e0) = e3
% 185.24/29.77  | | | 
% 185.24/29.77  | | | ALPHA: (14) implies:
% 185.24/29.77  | | |   (15)  all_56_10 = e3
% 185.24/29.77  | | | 
% 185.24/29.77  | | | REF_CLOSE: (4), (7), (15) are inconsistent by sub-proof #1489.
% 185.24/29.77  | | | 
% 185.24/29.77  | | End of split
% 185.24/29.77  | | 
% 185.24/29.77  | End of split
% 185.24/29.77  | 
% 185.24/29.77  End of proof
% 185.24/29.77  
% 185.24/29.77  Sub-proof #459 shows that the following formulas are inconsistent:
% 185.24/29.77  ----------------------------------------------------------------
% 185.24/29.77    (1)  all_56_9 = e2
% 185.24/29.77    (2)   ~ (all_4_2 = e0)
% 185.24/29.77    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.24/29.77         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.24/29.77    (4)   ~ (e1 = e0)
% 185.24/29.77    (5)   ~ (all_52_9 = e0)
% 185.24/29.77    (6)   ~ (e3 = e0)
% 185.24/29.77    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.24/29.77         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.24/29.77    (8)  op(e2, e1) = all_52_9
% 185.24/29.77    (9)   ~ (e2 = e0)
% 185.24/29.77    (10)   ~ (e3 = e1)
% 185.24/29.77    (11)  op(e3, e3) = e2
% 185.24/29.77    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.77            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.77    (13)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.24/29.77          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.24/29.77    (14)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.24/29.77          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.24/29.77    (15)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.24/29.77          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.24/29.77    (16)   ~ (e3 = e2)
% 185.24/29.77    (17)  op(e3, e1) = all_52_8
% 185.24/29.77    (18)  op(e3, e3) = all_4_2
% 185.24/29.77    (19)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.24/29.77          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.24/29.77    (20)  op(e3, e2) = all_52_4
% 185.24/29.77    (21)   ~ (all_52_4 = e0)
% 185.24/29.77    (22)   ~ (e2 = e1)
% 185.24/29.77    (23)  op(e1, e1) = e1
% 185.24/29.77  
% 185.24/29.77  Begin of proof
% 185.24/29.77  | 
% 185.24/29.77  | BETA: splitting (14) gives:
% 185.24/29.77  | 
% 185.24/29.77  | Case 1:
% 185.24/29.77  | | 
% 185.24/29.77  | |   (24)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) =
% 185.24/29.77  | |           e1)
% 185.24/29.77  | | 
% 185.24/29.77  | | BETA: splitting (24) gives:
% 185.24/29.77  | | 
% 185.24/29.77  | | Case 1:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (25)  all_56_0 = e1 & op(e3, e3) = e1
% 185.24/29.77  | | | 
% 185.24/29.77  | | | ALPHA: (25) implies:
% 185.24/29.77  | | |   (26)  op(e3, e3) = e1
% 185.24/29.77  | | | 
% 185.24/29.77  | | | REF_CLOSE: (11), (12), (22), (26) are inconsistent by sub-proof #1582.
% 185.24/29.77  | | | 
% 185.24/29.77  | | Case 2:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (27)  all_56_1 = e1 & op(e3, e2) = e1
% 185.24/29.77  | | | 
% 185.24/29.77  | | | ALPHA: (27) implies:
% 185.24/29.77  | | |   (28)  all_56_1 = e1
% 185.24/29.77  | | | 
% 185.24/29.77  | | | BETA: splitting (15) gives:
% 185.24/29.77  | | | 
% 185.24/29.77  | | | Case 1:
% 185.24/29.77  | | | | 
% 185.24/29.77  | | | |   (29)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2)
% 185.24/29.77  | | | |           = e3)
% 185.24/29.77  | | | | 
% 185.24/29.77  | | | | BETA: splitting (29) gives:
% 185.24/29.77  | | | | 
% 185.24/29.77  | | | | Case 1:
% 185.24/29.77  | | | | | 
% 185.24/29.77  | | | | |   (30)  all_56_0 = e3 & op(e3, e3) = e3
% 185.24/29.77  | | | | | 
% 185.24/29.77  | | | | | ALPHA: (30) implies:
% 185.24/29.77  | | | | |   (31)  op(e3, e3) = e3
% 185.24/29.77  | | | | | 
% 185.24/29.77  | | | | | REF_CLOSE: (11), (12), (16), (31) are inconsistent by sub-proof #1594.
% 185.24/29.77  | | | | | 
% 185.24/29.77  | | | | Case 2:
% 185.24/29.77  | | | | | 
% 185.24/29.77  | | | | |   (32)  all_56_1 = e3 & op(e3, e2) = e3
% 185.24/29.77  | | | | | 
% 185.24/29.77  | | | | | REF_CLOSE: (10), (28), (32) are inconsistent by sub-proof #460.
% 185.24/29.77  | | | | | 
% 185.24/29.77  | | | | End of split
% 185.24/29.77  | | | | 
% 185.24/29.77  | | | Case 2:
% 185.24/29.77  | | | | 
% 185.24/29.77  | | | |   (33)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0)
% 185.24/29.77  | | | |           = e3)
% 185.24/29.77  | | | | 
% 185.24/29.77  | | | | BETA: splitting (33) gives:
% 185.24/29.77  | | | | 
% 185.24/29.77  | | | | Case 1:
% 185.24/29.77  | | | | | 
% 185.24/29.77  | | | | |   (34)  all_56_4 = e3 & op(e3, e1) = e3
% 185.24/29.77  | | | | | 
% 185.24/29.77  | | | | | ALPHA: (34) implies:
% 185.24/29.77  | | | | |   (35)  op(e3, e1) = e3
% 185.24/29.77  | | | | | 
% 185.24/29.77  | | | | | REF_CLOSE: (1), (2), (6), (7), (9), (12), (17), (18), (20), (21), (35)
% 185.24/29.77  | | | | |            are inconsistent by sub-proof #899.
% 185.24/29.77  | | | | | 
% 185.24/29.77  | | | | Case 2:
% 185.24/29.77  | | | | | 
% 185.24/29.77  | | | | |   (36)  all_56_9 = e3 & op(e3, e0) = e3
% 185.24/29.77  | | | | | 
% 185.24/29.77  | | | | | REF_CLOSE: (1), (16), (36) are inconsistent by sub-proof #1401.
% 185.24/29.77  | | | | | 
% 185.24/29.77  | | | | End of split
% 185.24/29.77  | | | | 
% 185.24/29.77  | | | End of split
% 185.24/29.77  | | | 
% 185.24/29.77  | | End of split
% 185.24/29.77  | | 
% 185.24/29.77  | Case 2:
% 185.24/29.77  | | 
% 185.24/29.77  | |   (37)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 185.24/29.77  | |           e1)
% 185.24/29.77  | | 
% 185.24/29.77  | | BETA: splitting (37) gives:
% 185.24/29.77  | | 
% 185.24/29.77  | | Case 1:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (38)  all_56_4 = e1 & op(e3, e1) = e1
% 185.24/29.77  | | | 
% 185.24/29.77  | | | ALPHA: (38) implies:
% 185.24/29.77  | | |   (39)  all_56_4 = e1
% 185.24/29.77  | | | 
% 185.24/29.77  | | | REF_CLOSE: (3), (4), (5), (6), (8), (9), (10), (12), (13), (16), (19),
% 185.24/29.77  | | |            (22), (23), (39) are inconsistent by sub-proof #1467.
% 185.24/29.77  | | | 
% 185.24/29.77  | | Case 2:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (40)  all_56_9 = e1 & op(e3, e0) = e1
% 185.24/29.77  | | | 
% 185.24/29.77  | | | REF_CLOSE: (1), (22), (40) are inconsistent by sub-proof #1565.
% 185.24/29.77  | | | 
% 185.24/29.77  | | End of split
% 185.24/29.77  | | 
% 185.24/29.77  | End of split
% 185.24/29.77  | 
% 185.24/29.77  End of proof
% 185.24/29.77  
% 185.24/29.77  Sub-proof #460 shows that the following formulas are inconsistent:
% 185.24/29.77  ----------------------------------------------------------------
% 185.24/29.77    (1)  all_56_1 = e3 & op(e3, e2) = e3
% 185.24/29.77    (2)  all_56_1 = e1
% 185.24/29.77    (3)   ~ (e3 = e1)
% 185.24/29.77  
% 185.24/29.77  Begin of proof
% 185.24/29.77  | 
% 185.24/29.77  | ALPHA: (1) implies:
% 185.24/29.77  |   (4)  all_56_1 = e3
% 185.24/29.77  | 
% 185.24/29.77  | COMBINE_EQS: (2), (4) imply:
% 185.24/29.77  |   (5)  e3 = e1
% 185.24/29.77  | 
% 185.24/29.77  | REDUCE: (3), (5) imply:
% 185.24/29.77  |   (6)  $false
% 185.24/29.77  | 
% 185.24/29.77  | CLOSE: (6) is inconsistent.
% 185.24/29.77  | 
% 185.24/29.77  End of proof
% 185.24/29.77  
% 185.24/29.77  Sub-proof #461 shows that the following formulas are inconsistent:
% 185.24/29.77  ----------------------------------------------------------------
% 185.24/29.77    (1)  op(e0, e0) = all_6_2
% 185.24/29.77    (2)   ~ (all_4_2 = e0)
% 185.24/29.77    (3)   ~ (all_6_2 = e1)
% 185.24/29.77    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.24/29.77         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.24/29.77    (5)  all_56_10 = e2
% 185.24/29.77    (6)   ~ (e1 = e0)
% 185.24/29.77    (7)   ~ (e3 = e0)
% 185.24/29.77    (8)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.24/29.77         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.24/29.77    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.24/29.77         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.24/29.77    (10)  op(e2, e1) = e1
% 185.24/29.77    (11)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.24/29.77          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.24/29.77    (12)   ~ (all_52_6 = e0)
% 185.24/29.77    (13)   ~ (e2 = e0)
% 185.24/29.77    (14)   ~ (e3 = e1)
% 185.24/29.77    (15)  all_56_14 = e2
% 185.24/29.77    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.77            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.77    (17)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.24/29.77          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.24/29.77    (18)   ~ (e3 = e2)
% 185.24/29.77    (19)  op(e3, e1) = all_52_8
% 185.24/29.77    (20)  op(e3, e3) = all_4_2
% 185.24/29.77    (21)  op(e3, e2) = all_52_4
% 185.24/29.77    (22)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.24/29.77          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.24/29.77    (23)  op(e1, e2) = all_52_6
% 185.24/29.77    (24)   ~ (all_52_4 = e0)
% 185.24/29.77    (25)   ~ (e2 = e1)
% 185.24/29.77    (26)  op(e1, e1) = e1
% 185.24/29.77  
% 185.24/29.77  Begin of proof
% 185.24/29.77  | 
% 185.24/29.77  | BETA: splitting (4) gives:
% 185.24/29.77  | 
% 185.24/29.77  | Case 1:
% 185.24/29.77  | | 
% 185.24/29.77  | |   (27)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 185.24/29.77  | |           e3)
% 185.24/29.77  | | 
% 185.24/29.77  | | BETA: splitting (27) gives:
% 185.24/29.77  | | 
% 185.24/29.77  | | Case 1:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (28)  all_56_4 = e3 & op(e3, e1) = e3
% 185.24/29.77  | | | 
% 185.24/29.77  | | | ALPHA: (28) implies:
% 185.24/29.77  | | |   (29)  op(e3, e1) = e3
% 185.24/29.77  | | | 
% 185.24/29.77  | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 185.24/29.77  | | |            (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 185.24/29.77  | | |            (26), (29) are inconsistent by sub-proof #462.
% 185.24/29.77  | | | 
% 185.24/29.77  | | Case 2:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (30)  all_56_5 = e3 & op(e2, e1) = e3
% 185.24/29.77  | | | 
% 185.24/29.77  | | | ALPHA: (30) implies:
% 185.24/29.77  | | |   (31)  op(e2, e1) = e3
% 185.24/29.77  | | | 
% 185.24/29.77  | | | REF_CLOSE: (10), (14), (16), (31) are inconsistent by sub-proof #1456.
% 185.24/29.77  | | | 
% 185.24/29.77  | | End of split
% 185.24/29.77  | | 
% 185.24/29.77  | Case 2:
% 185.24/29.77  | | 
% 185.24/29.77  | |   (32)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 185.24/29.77  | |           e3)
% 185.24/29.77  | | 
% 185.24/29.77  | | REF_CLOSE: (14), (15), (16), (18), (26), (32) are inconsistent by sub-proof
% 185.24/29.77  | |            #579.
% 185.24/29.77  | | 
% 185.24/29.77  | End of split
% 185.24/29.77  | 
% 185.24/29.77  End of proof
% 185.24/29.77  
% 185.24/29.77  Sub-proof #462 shows that the following formulas are inconsistent:
% 185.24/29.77  ----------------------------------------------------------------
% 185.24/29.77    (1)  op(e0, e0) = all_6_2
% 185.24/29.77    (2)   ~ (all_4_2 = e0)
% 185.24/29.77    (3)   ~ (all_6_2 = e1)
% 185.24/29.77    (4)  all_56_10 = e2
% 185.24/29.77    (5)   ~ (e1 = e0)
% 185.24/29.77    (6)  op(e3, e1) = e3
% 185.24/29.77    (7)   ~ (e3 = e0)
% 185.24/29.77    (8)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.24/29.77         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.24/29.77    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.24/29.77         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.24/29.77    (10)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.24/29.77          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.24/29.77    (11)   ~ (all_52_6 = e0)
% 185.24/29.77    (12)   ~ (e2 = e0)
% 185.24/29.77    (13)   ~ (e3 = e1)
% 185.24/29.77    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.77            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.77    (15)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.24/29.77          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.24/29.77    (16)   ~ (e3 = e2)
% 185.24/29.77    (17)  op(e3, e1) = all_52_8
% 185.24/29.77    (18)  op(e3, e3) = all_4_2
% 185.24/29.77    (19)  op(e3, e2) = all_52_4
% 185.24/29.77    (20)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.24/29.77          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.24/29.77    (21)  op(e1, e2) = all_52_6
% 185.24/29.77    (22)   ~ (all_52_4 = e0)
% 185.24/29.77    (23)   ~ (e2 = e1)
% 185.24/29.77    (24)  op(e1, e1) = e1
% 185.24/29.77  
% 185.24/29.77  Begin of proof
% 185.24/29.77  | 
% 185.24/29.77  | BETA: splitting (9) gives:
% 185.24/29.77  | 
% 185.24/29.77  | Case 1:
% 185.24/29.77  | | 
% 185.24/29.77  | |   (25)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 185.24/29.77  | |           e0)
% 185.24/29.77  | | 
% 185.24/29.77  | | REF_CLOSE: (2), (14), (18), (19), (22), (25) are inconsistent by sub-proof
% 185.24/29.77  | |            #1060.
% 185.24/29.77  | | 
% 185.24/29.77  | Case 2:
% 185.24/29.77  | | 
% 185.24/29.77  | |   (26)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 185.24/29.77  | |           e0)
% 185.24/29.77  | | 
% 185.24/29.77  | | BETA: splitting (26) gives:
% 185.24/29.77  | | 
% 185.24/29.77  | | Case 1:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (27)  all_56_4 = e0 & op(e3, e1) = e0
% 185.24/29.77  | | | 
% 185.24/29.77  | | | ALPHA: (27) implies:
% 185.24/29.77  | | |   (28)  op(e3, e1) = e0
% 185.24/29.77  | | | 
% 185.24/29.77  | | | REF_CLOSE: (6), (7), (14), (17), (28) are inconsistent by sub-proof #1577.
% 185.24/29.77  | | | 
% 185.24/29.77  | | Case 2:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (29)  all_56_9 = e0 & op(e3, e0) = e0
% 185.24/29.77  | | | 
% 185.24/29.77  | | | ALPHA: (29) implies:
% 185.24/29.77  | | |   (30)  all_56_9 = e0
% 185.24/29.77  | | | 
% 185.24/29.77  | | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (10), (11), (12), (13), (14),
% 185.24/29.77  | | |            (15), (16), (20), (21), (23), (24), (30) are inconsistent by
% 185.24/29.77  | | |            sub-proof #539.
% 185.24/29.77  | | | 
% 185.24/29.77  | | End of split
% 185.24/29.77  | | 
% 185.24/29.77  | End of split
% 185.24/29.77  | 
% 185.24/29.77  End of proof
% 185.24/29.77  
% 185.24/29.77  Sub-proof #463 shows that the following formulas are inconsistent:
% 185.24/29.77  ----------------------------------------------------------------
% 185.24/29.77    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.24/29.77         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.24/29.77    (2)   ~ (e1 = e0)
% 185.24/29.77    (3)   ~ (all_52_9 = e0)
% 185.24/29.77    (4)  all_56_4 = e2
% 185.24/29.77    (5)  all_56_2 = e2
% 185.24/29.77    (6)   ~ (e3 = e0)
% 185.24/29.77    (7)  op(e2, e1) = all_52_9
% 185.24/29.77    (8)  all_56_2 = e1 & op(e2, e3) = e1
% 185.24/29.77    (9)   ~ (e2 = e0)
% 185.24/29.77    (10)   ~ (e3 = e1)
% 185.24/29.77    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.77            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.77    (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.24/29.77          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.24/29.77    (13)   ~ (e3 = e2)
% 185.24/29.77    (14)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.24/29.77          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.24/29.77    (15)   ~ (e2 = e1)
% 185.24/29.77    (16)  op(e1, e1) = e1
% 185.24/29.77  
% 185.24/29.77  Begin of proof
% 185.24/29.77  | 
% 185.24/29.77  | ALPHA: (8) implies:
% 185.24/29.77  |   (17)  all_56_2 = e1
% 185.24/29.77  | 
% 185.24/29.77  | COMBINE_EQS: (5), (17) imply:
% 185.24/29.77  |   (18)  e2 = e1
% 185.24/29.77  | 
% 185.24/29.77  | COMBINE_EQS: (4), (18) imply:
% 185.24/29.77  |   (19)  all_56_4 = e1
% 185.24/29.77  | 
% 185.24/29.77  | REF_CLOSE: (1), (2), (3), (6), (7), (9), (10), (11), (12), (13), (14), (15),
% 185.24/29.77  |            (16), (19) are inconsistent by sub-proof #1467.
% 185.24/29.77  | 
% 185.24/29.77  End of proof
% 185.24/29.77  
% 185.24/29.77  Sub-proof #464 shows that the following formulas are inconsistent:
% 185.24/29.77  ----------------------------------------------------------------
% 185.24/29.77    (1)  all_54_4 = all_48_1
% 185.24/29.77    (2)   ~ (all_48_1 = e0)
% 185.24/29.77    (3)   ~ (all_48_1 = e2)
% 185.24/29.77    (4)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.24/29.77    (5)   ~ (all_48_1 = e1)
% 185.24/29.77  
% 185.24/29.77  Begin of proof
% 185.24/29.77  | 
% 185.24/29.77  | BETA: splitting (4) gives:
% 185.24/29.77  | 
% 185.24/29.77  | Case 1:
% 185.24/29.77  | | 
% 185.24/29.77  | |   (6)  all_54_4 = e2
% 185.24/29.77  | | 
% 185.24/29.77  | | COMBINE_EQS: (1), (6) imply:
% 185.24/29.77  | |   (7)  all_48_1 = e2
% 185.24/29.77  | | 
% 185.24/29.77  | | REDUCE: (3), (7) imply:
% 185.24/29.77  | |   (8)  $false
% 185.24/29.77  | | 
% 185.24/29.77  | | CLOSE: (8) is inconsistent.
% 185.24/29.77  | | 
% 185.24/29.77  | Case 2:
% 185.24/29.77  | | 
% 185.24/29.77  | |   (9)  all_54_4 = e1 | all_54_4 = e0
% 185.24/29.77  | | 
% 185.24/29.77  | | BETA: splitting (9) gives:
% 185.24/29.77  | | 
% 185.24/29.77  | | Case 1:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (10)  all_54_4 = e1
% 185.24/29.77  | | | 
% 185.24/29.77  | | | COMBINE_EQS: (1), (10) imply:
% 185.24/29.77  | | |   (11)  all_48_1 = e1
% 185.24/29.77  | | | 
% 185.24/29.77  | | | REDUCE: (5), (11) imply:
% 185.24/29.77  | | |   (12)  $false
% 185.24/29.77  | | | 
% 185.24/29.77  | | | CLOSE: (12) is inconsistent.
% 185.24/29.77  | | | 
% 185.24/29.77  | | Case 2:
% 185.24/29.77  | | | 
% 185.24/29.77  | | |   (13)  all_54_4 = e0
% 185.24/29.77  | | | 
% 185.24/29.77  | | | COMBINE_EQS: (1), (13) imply:
% 185.24/29.77  | | |   (14)  all_48_1 = e0
% 185.24/29.77  | | | 
% 185.24/29.77  | | | REDUCE: (2), (14) imply:
% 185.24/29.77  | | |   (15)  $false
% 185.24/29.77  | | | 
% 185.24/29.77  | | | CLOSE: (15) is inconsistent.
% 185.24/29.77  | | | 
% 185.24/29.77  | | End of split
% 185.24/29.77  | | 
% 185.24/29.77  | End of split
% 185.24/29.77  | 
% 185.24/29.77  End of proof
% 185.24/29.77  
% 185.24/29.77  Sub-proof #465 shows that the following formulas are inconsistent:
% 185.24/29.77  ----------------------------------------------------------------
% 185.24/29.77    (1)  op(e0, e0) = all_6_2
% 185.24/29.77    (2)   ~ (all_4_2 = e0)
% 185.24/29.78    (3)   ~ (all_6_2 = e1)
% 185.24/29.78    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.24/29.78         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.24/29.78    (5)  all_56_2 = e1
% 185.24/29.78    (6)   ~ (e1 = e0)
% 185.24/29.78    (7)   ~ (all_52_9 = e0)
% 185.24/29.78    (8)   ~ (e3 = e0)
% 185.24/29.78    (9)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.24/29.78         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.24/29.78    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.24/29.78          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.24/29.78    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.24/29.78          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.24/29.78    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.24/29.78          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.24/29.78    (13)  op(e2, e1) = all_52_9
% 185.24/29.78    (14)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.24/29.78          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.24/29.78    (15)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.24/29.78          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.24/29.78    (16)   ~ (all_52_6 = e0)
% 185.24/29.78    (17)   ~ (e2 = e0)
% 185.24/29.78    (18)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.24/29.78          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.24/29.78    (19)   ~ (e3 = e1)
% 185.24/29.78    (20)  op(e3, e3) = e2
% 185.24/29.78    (21)   ~ (all_6_2 = e2)
% 185.24/29.78    (22)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.24/29.78          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.24/29.78    (23)  op(e0, e3) = all_52_3
% 185.24/29.78    (24)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.78            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.78    (25)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.24/29.78          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.24/29.78    (26)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.24/29.78          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.24/29.78    (27)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.24/29.78          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.24/29.78    (28)  all_56_3 = e0
% 185.24/29.78    (29)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.24/29.78          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.24/29.78    (30)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.24/29.78          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.24/29.78    (31)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.24/29.78          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.24/29.78    (32)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.24/29.78          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.24/29.78            e1)
% 185.24/29.78    (33)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.24/29.78          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.24/29.78    (34)   ~ (e3 = e2)
% 185.24/29.78    (35)  op(e3, e1) = all_52_8
% 185.24/29.78    (36)  op(e3, e3) = all_4_2
% 185.24/29.78    (37)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.24/29.78          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.24/29.78    (38)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.24/29.78          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.24/29.78    (39)  op(e3, e2) = all_52_4
% 185.24/29.78    (40)   ~ (all_52_9 = e3)
% 185.24/29.78    (41)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.24/29.78          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.24/29.78    (42)  op(e1, e2) = all_52_6
% 185.24/29.78    (43)   ~ (all_52_4 = e0)
% 185.24/29.78    (44)   ~ (e2 = e1)
% 185.24/29.78    (45)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.24/29.78          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.24/29.78            e2)
% 185.24/29.78    (46)  op(e2, e2) = e0
% 185.24/29.78    (47)   ~ (all_4_2 = e1)
% 185.24/29.78    (48)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.24/29.78          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.24/29.78    (49)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.24/29.78          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.24/29.78    (50)  op(e1, e1) = e1
% 185.24/29.78  
% 185.24/29.78  Begin of proof
% 185.24/29.78  | 
% 185.24/29.78  | BETA: splitting (22) gives:
% 185.24/29.78  | 
% 185.24/29.78  | Case 1:
% 185.24/29.78  | | 
% 185.24/29.78  | |   (51)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 185.24/29.78  | |           e3)
% 185.24/29.78  | | 
% 185.24/29.78  | | REF_CLOSE: (5), (19), (20), (24), (34), (51) are inconsistent by sub-proof
% 185.24/29.78  | |            #1557.
% 185.24/29.78  | | 
% 185.24/29.78  | Case 2:
% 185.24/29.78  | | 
% 185.24/29.78  | |   (52)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 185.24/29.78  | |           e3)
% 185.24/29.78  | | 
% 185.24/29.78  | | BETA: splitting (52) gives:
% 185.24/29.78  | | 
% 185.24/29.78  | | Case 1:
% 185.24/29.78  | | | 
% 185.24/29.78  | | |   (53)  all_56_6 = e3 & op(e1, e3) = e3
% 185.24/29.78  | | | 
% 185.24/29.78  | | | ALPHA: (53) implies:
% 185.24/29.78  | | |   (54)  all_56_6 = e3
% 185.24/29.78  | | | 
% 185.24/29.78  | | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (12), (13), (14), (16),
% 185.24/29.78  | | |            (17), (19), (20), (21), (22), (23), (24), (29), (33), (34),
% 185.24/29.78  | | |            (36), (38), (40), (41), (42), (44), (46), (47), (48), (50),
% 185.24/29.78  | | |            (54) are inconsistent by sub-proof #487.
% 185.24/29.78  | | | 
% 185.24/29.78  | | Case 2:
% 185.24/29.78  | | | 
% 185.24/29.78  | | |   (55)  all_56_12 = e3 & op(e0, e3) = e3
% 185.24/29.78  | | | 
% 185.24/29.78  | | | ALPHA: (55) implies:
% 185.24/29.78  | | |   (56)  all_56_12 = e3
% 185.24/29.78  | | |   (57)  op(e0, e3) = e3
% 185.24/29.78  | | | 
% 185.24/29.78  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.24/29.78  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 185.24/29.78  | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 185.24/29.78  | | |            (33), (34), (35), (36), (37), (38), (39), (40), (41), (42),
% 185.24/29.78  | | |            (43), (44), (45), (46), (47), (48), (49), (50), (56), (57) are
% 185.24/29.78  | | |            inconsistent by sub-proof #466.
% 185.24/29.78  | | | 
% 185.24/29.78  | | End of split
% 185.24/29.78  | | 
% 185.24/29.78  | End of split
% 185.24/29.78  | 
% 185.24/29.78  End of proof
% 185.24/29.78  
% 185.24/29.78  Sub-proof #466 shows that the following formulas are inconsistent:
% 185.24/29.78  ----------------------------------------------------------------
% 185.24/29.78    (1)  op(e0, e0) = all_6_2
% 185.24/29.78    (2)  op(e0, e3) = e3
% 185.24/29.78    (3)   ~ (all_4_2 = e0)
% 185.24/29.78    (4)   ~ (all_6_2 = e1)
% 185.24/29.78    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.24/29.78         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.24/29.78    (6)  all_56_2 = e1
% 185.24/29.78    (7)   ~ (e1 = e0)
% 185.24/29.78    (8)   ~ (all_52_9 = e0)
% 185.24/29.78    (9)   ~ (e3 = e0)
% 185.24/29.78    (10)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.24/29.78          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.24/29.78    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.24/29.78          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.24/29.78    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.24/29.78          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.24/29.78    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.24/29.78          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.24/29.78    (14)  op(e2, e1) = all_52_9
% 185.24/29.78    (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.24/29.78          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.24/29.78    (16)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.24/29.78          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.24/29.78    (17)   ~ (all_52_6 = e0)
% 185.24/29.78    (18)   ~ (e2 = e0)
% 185.24/29.78    (19)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.24/29.78          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.24/29.78    (20)   ~ (e3 = e1)
% 185.24/29.78    (21)  op(e3, e3) = e2
% 185.24/29.78    (22)   ~ (all_6_2 = e2)
% 185.24/29.78    (23)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.24/29.78          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.24/29.78    (24)  op(e0, e3) = all_52_3
% 185.24/29.78    (25)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.78            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.78    (26)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.24/29.78          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.24/29.78    (27)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.24/29.78          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.24/29.78    (28)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.24/29.78          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.24/29.78    (29)  all_56_3 = e0
% 185.24/29.78    (30)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.24/29.78          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.24/29.78    (31)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.24/29.78          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.24/29.78    (32)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.24/29.78          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.24/29.78    (33)  all_56_12 = e3
% 185.24/29.78    (34)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.24/29.78          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.24/29.78            e1)
% 185.24/29.78    (35)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.24/29.78          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.24/29.78    (36)   ~ (e3 = e2)
% 185.24/29.78    (37)  op(e3, e1) = all_52_8
% 185.24/29.78    (38)  op(e3, e3) = all_4_2
% 185.24/29.78    (39)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.24/29.78          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.24/29.78    (40)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.24/29.78          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.24/29.78    (41)  op(e3, e2) = all_52_4
% 185.24/29.78    (42)   ~ (all_52_9 = e3)
% 185.24/29.78    (43)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.24/29.78          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.24/29.78    (44)  op(e1, e2) = all_52_6
% 185.24/29.78    (45)   ~ (all_52_4 = e0)
% 185.24/29.78    (46)   ~ (e2 = e1)
% 185.24/29.78    (47)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.24/29.78          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.24/29.78            e2)
% 185.24/29.78    (48)  op(e2, e2) = e0
% 185.24/29.78    (49)   ~ (all_4_2 = e1)
% 185.24/29.78    (50)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.24/29.78          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.24/29.78    (51)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.24/29.78          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.24/29.78    (52)  op(e1, e1) = e1
% 185.24/29.78  
% 185.24/29.78  Begin of proof
% 185.24/29.78  | 
% 185.24/29.78  | BETA: splitting (40) gives:
% 185.24/29.78  | 
% 185.24/29.78  | Case 1:
% 185.24/29.78  | | 
% 185.24/29.78  | |   (53)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 185.24/29.78  | |           e3)
% 185.24/29.78  | | 
% 185.24/29.78  | | REF_CLOSE: (6), (9), (20), (25), (48), (53) are inconsistent by sub-proof
% 185.24/29.78  | |            #486.
% 185.24/29.78  | | 
% 185.24/29.78  | Case 2:
% 185.24/29.78  | | 
% 185.24/29.78  | |   (54)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.24/29.78  | |           e3)
% 185.24/29.78  | | 
% 185.24/29.78  | | BETA: splitting (54) gives:
% 185.24/29.78  | | 
% 185.24/29.78  | | Case 1:
% 185.24/29.78  | | | 
% 185.24/29.78  | | |   (55)  all_56_5 = e3 & op(e2, e1) = e3
% 185.24/29.78  | | | 
% 185.24/29.78  | | | ALPHA: (55) implies:
% 185.24/29.78  | | |   (56)  op(e2, e1) = e3
% 185.24/29.78  | | | 
% 185.24/29.78  | | | REF_CLOSE: (14), (25), (42), (56) are inconsistent by sub-proof #1449.
% 185.24/29.78  | | | 
% 185.24/29.78  | | Case 2:
% 185.24/29.78  | | | 
% 185.24/29.78  | | |   (57)  all_56_10 = e3 & op(e2, e0) = e3
% 185.24/29.78  | | | 
% 185.24/29.78  | | | ALPHA: (57) implies:
% 185.24/29.78  | | |   (58)  all_56_10 = e3
% 185.24/29.78  | | | 
% 185.24/29.78  | | | BETA: splitting (10) gives:
% 185.24/29.78  | | | 
% 185.24/29.78  | | | Case 1:
% 185.24/29.78  | | | | 
% 185.24/29.78  | | | |   (59)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0)
% 185.24/29.78  | | | |           = e1)
% 185.24/29.78  | | | | 
% 185.24/29.78  | | | | BETA: splitting (59) gives:
% 185.24/29.78  | | | | 
% 185.24/29.78  | | | | Case 1:
% 185.24/29.78  | | | | | 
% 185.24/29.78  | | | | |   (60)  all_56_9 = e1 & op(e3, e0) = e1
% 185.24/29.78  | | | | | 
% 185.24/29.78  | | | | | ALPHA: (60) implies:
% 185.24/29.78  | | | | |   (61)  all_56_9 = e1
% 185.24/29.78  | | | | | 
% 185.24/29.78  | | | | | BETA: splitting (28) gives:
% 185.24/29.78  | | | | | 
% 185.24/29.78  | | | | | Case 1:
% 185.24/29.78  | | | | | | 
% 185.24/29.78  | | | | | |   (62)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2,
% 185.24/29.78  | | | | | |             e2) = e2)
% 185.24/29.78  | | | | | | 
% 185.24/29.78  | | | | | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (10), (11), (13),
% 185.24/29.78  | | | | | |            (14), (15), (16), (17), (18), (20), (21), (23), (24),
% 185.24/29.78  | | | | | |            (25), (26), (28), (29), (30), (36), (37), (38), (39),
% 185.24/29.78  | | | | | |            (40), (41), (43), (44), (45), (46), (48), (50), (52),
% 185.24/29.78  | | | | | |            (62) are inconsistent by sub-proof #473.
% 185.24/29.78  | | | | | | 
% 185.24/29.78  | | | | | Case 2:
% 185.24/29.78  | | | | | | 
% 185.24/29.78  | | | | | |   (63)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2,
% 185.24/29.78  | | | | | |             e0) = e2)
% 185.24/29.78  | | | | | | 
% 185.24/29.78  | | | | | | BETA: splitting (63) gives:
% 185.24/29.78  | | | | | | 
% 185.24/29.78  | | | | | | Case 1:
% 185.24/29.78  | | | | | | | 
% 185.24/29.78  | | | | | | |   (64)  all_56_5 = e2 & op(e2, e1) = e2
% 185.24/29.78  | | | | | | | 
% 185.24/29.78  | | | | | | | ALPHA: (64) implies:
% 185.24/29.78  | | | | | | |   (65)  op(e2, e1) = e2
% 185.24/29.78  | | | | | | | 
% 185.24/29.78  | | | | | | | BETA: splitting (11) gives:
% 185.24/29.78  | | | | | | | 
% 185.24/29.78  | | | | | | | Case 1:
% 185.24/29.78  | | | | | | | | 
% 185.24/29.78  | | | | | | | |   (66)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 &
% 185.24/29.78  | | | | | | | |           op(e3, e2) = e0)
% 185.24/29.78  | | | | | | | | 
% 185.24/29.78  | | | | | | | | REF_CLOSE: (3), (25), (38), (41), (45), (66) are inconsistent by
% 185.24/29.78  | | | | | | | |            sub-proof #1060.
% 185.24/29.78  | | | | | | | | 
% 185.24/29.78  | | | | | | | Case 2:
% 185.24/29.78  | | | | | | | | 
% 185.24/29.78  | | | | | | | |   (67)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 &
% 185.24/29.78  | | | | | | | |           op(e3, e0) = e0)
% 185.24/29.78  | | | | | | | | 
% 185.24/29.78  | | | | | | | | BETA: splitting (67) gives:
% 185.24/29.78  | | | | | | | | 
% 185.24/29.78  | | | | | | | | Case 1:
% 185.24/29.78  | | | | | | | | | 
% 185.24/29.78  | | | | | | | | |   (68)  all_56_4 = e0 & op(e3, e1) = e0
% 185.24/29.78  | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | ALPHA: (68) implies:
% 185.24/29.78  | | | | | | | | |   (69)  all_56_4 = e0
% 185.24/29.78  | | | | | | | | |   (70)  op(e3, e1) = e0
% 185.24/29.78  | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | BETA: splitting (34) gives:
% 185.24/29.78  | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | Case 1:
% 185.24/29.78  | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | |   (71)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1
% 185.24/29.78  | | | | | | | | | |           & op(e0, e2) = e1)
% 185.24/29.78  | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | BETA: splitting (71) gives:
% 185.24/29.78  | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | Case 1:
% 185.24/29.78  | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | |   (72)  all_56_12 = e1 & op(e0, e3) = e1
% 185.24/29.78  | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | ALPHA: (72) implies:
% 185.24/29.78  | | | | | | | | | | |   (73)  op(e0, e3) = e1
% 185.24/29.78  | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | REF_CLOSE: (2), (20), (24), (25), (73) are inconsistent by
% 185.24/29.78  | | | | | | | | | | |            sub-proof #1529.
% 185.24/29.78  | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | Case 2:
% 185.24/29.78  | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | |   (74)  all_56_13 = e1 & op(e0, e2) = e1
% 185.24/29.78  | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | ALPHA: (74) implies:
% 185.24/29.78  | | | | | | | | | | |   (75)  all_56_13 = e1
% 185.24/29.78  | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | BETA: splitting (5) gives:
% 185.24/29.78  | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | Case 1:
% 185.24/29.78  | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | |   (76)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 185.24/29.78  | | | | | | | | | | | |           & op(e2, e1) = e3)
% 185.24/29.78  | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | REF_CLOSE: (9), (25), (36), (37), (65), (70), (76) are
% 185.24/29.78  | | | | | | | | | | | |            inconsistent by sub-proof #1004.
% 185.24/29.78  | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | Case 2:
% 185.24/29.78  | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | |   (77)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 185.24/29.78  | | | | | | | | | | | |           e3 & op(e0, e1) = e3)
% 185.24/29.78  | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | BETA: splitting (77) gives:
% 185.24/29.78  | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | Case 1:
% 185.24/29.78  | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | |   (78)  all_56_8 = e3 & op(e1, e1) = e3
% 185.24/29.78  | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | ALPHA: (78) implies:
% 185.24/29.78  | | | | | | | | | | | | |   (79)  op(e1, e1) = e3
% 185.24/29.78  | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | REF_CLOSE: (20), (25), (52), (79) are inconsistent by
% 185.24/29.78  | | | | | | | | | | | | |            sub-proof #1541.
% 185.24/29.78  | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | Case 2:
% 185.24/29.78  | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | |   (80)  all_56_14 = e3 & op(e0, e1) = e3
% 185.24/29.78  | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | ALPHA: (80) implies:
% 185.24/29.78  | | | | | | | | | | | | |   (81)  all_56_14 = e3
% 185.24/29.78  | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | BETA: splitting (31) gives:
% 185.24/29.78  | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | Case 1:
% 185.24/29.78  | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | |   (82)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 185.24/29.78  | | | | | | | | | | | | | |           & op(e3, e2) = e3)
% 185.24/29.78  | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 185.24/29.78  | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | Case 1:
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | |   (83)  all_56_0 = e3 & op(e3, e3) = e3
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | ALPHA: (83) implies:
% 185.24/29.78  | | | | | | | | | | | | | | |   (84)  op(e3, e3) = e3
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (11),
% 185.24/29.78  | | | | | | | | | | | | | | |            (12), (13), (14), (16), (18), (20), (22), (24),
% 185.24/29.78  | | | | | | | | | | | | | | |            (25), (26), (27), (28), (32), (33), (34), (36),
% 185.24/29.78  | | | | | | | | | | | | | | |            (38), (39), (40), (41), (45), (46), (47), (48),
% 185.24/29.78  | | | | | | | | | | | | | | |            (49), (50), (52), (84) are inconsistent by
% 185.24/29.78  | | | | | | | | | | | | | | |            sub-proof #577.
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | Case 2:
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | |   (85)  all_56_1 = e3 & op(e3, e2) = e3
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | ALPHA: (85) implies:
% 185.24/29.78  | | | | | | | | | | | | | | |   (86)  all_56_1 = e3
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | Case 1:
% 185.24/29.78  | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | |   (87)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 185.24/29.78  | | | | | | | | | | | | | | | |           e2 & op(e2, e0) = e2)
% 185.24/29.78  | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 185.24/29.78  | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | Case 1:
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | |   (88)  all_56_9 = e2 & op(e3, e0) = e2
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | ALPHA: (88) implies:
% 185.24/29.78  | | | | | | | | | | | | | | | | |   (89)  all_56_9 = e2
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (61), (89) are inconsistent by sub-proof
% 185.24/29.78  | | | | | | | | | | | | | | | | |            #1503.
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | Case 2:
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | |   (90)  all_56_10 = e2 & op(e2, e0) = e2
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | ALPHA: (90) implies:
% 185.24/29.78  | | | | | | | | | | | | | | | | |   (91)  all_56_10 = e2
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | COMBINE_EQS: (58), (91) imply:
% 185.24/29.78  | | | | | | | | | | | | | | | | |   (92)  e3 = e2
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | SIMP: (92) implies:
% 185.24/29.78  | | | | | | | | | | | | | | | | |   (93)  e3 = e2
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (93) imply:
% 185.24/29.78  | | | | | | | | | | | | | | | | |   (94)  all_56_12 = e2
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (5), (7), (9), (11), (13), (15), (16),
% 185.24/29.78  | | | | | | | | | | | | | | | | |            (17), (18), (20), (21), (22), (23), (24), (25),
% 185.24/29.78  | | | | | | | | | | | | | | | | |            (28), (30), (35), (36), (37), (38), (39), (40),
% 185.24/29.78  | | | | | | | | | | | | | | | | |            (41), (43), (44), (45), (46), (48), (50), (52),
% 185.24/29.78  | | | | | | | | | | | | | | | | |            (94) are inconsistent by sub-proof #467.
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | End of split
% 185.24/29.78  | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | Case 2:
% 185.24/29.78  | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | |   (95)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 185.24/29.78  | | | | | | | | | | | | | | | |           e2 & op(e0, e0) = e2)
% 185.24/29.78  | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | BETA: splitting (95) gives:
% 185.24/29.78  | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | Case 1:
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | |   (96)  all_56_11 = e2 & op(e1, e0) = e2
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | ALPHA: (96) implies:
% 185.24/29.78  | | | | | | | | | | | | | | | | |   (97)  all_56_11 = e2
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | BETA: splitting (50) gives:
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | Case 1:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | |   (98)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 185.24/29.78  | | | | | | | | | | | | | | | | | |           & op(e2, e3) = e0)
% 185.24/29.78  | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (7), (25), (38), (98) are inconsistent
% 185.24/29.78  | | | | | | | | | | | | | | | | | |            by sub-proof #1559.
% 185.24/29.78  | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | Case 2:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | |   (99)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 185.24/29.78  | | | | | | | | | | | | | | | | | |           e0 & op(e0, e3) = e0)
% 185.24/29.78  | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | Case 1:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | |   (100)  all_56_6 = e0 & op(e1, e3) = e0
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | ALPHA: (100) implies:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | |   (101)  all_56_6 = e0
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | |   (102)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e3)
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |   (103)  all_56_6 = e3 & op(e1, e3) = e3
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (103) implies:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |   (104)  all_56_6 = e3
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (3), (4), (6), (7), (9), (10), (13), (14),
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |            (15), (17), (18), (20), (21), (22), (23), (24),
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |            (25), (30), (35), (36), (38), (40), (42), (43),
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |            (44), (46), (48), (49), (50), (52), (104) are
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #487.
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |   (105)  all_56_7 = e3 & op(e1, e2) = e3
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (105) implies:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |   (106)  all_56_7 = e3
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (25), (36), (46), (48), (75), (86),
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |            (106) are inconsistent by sub-proof #546.
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | End of split
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | |   (107)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e0) = e3)
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |   (108)  all_56_8 = e3 & op(e1, e1) = e3
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (108) implies:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |   (109)  op(e1, e1) = e3
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18), (20), (25), (36), (39), (46), (51),
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |            (69), (81), (109) are inconsistent by sub-proof
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |            #813.
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |   (110)  all_56_11 = e3 & op(e1, e0) = e3
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | ALPHA: (110) implies:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |   (111)  all_56_11 = e3
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (97), (111) imply:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |   (112)  e3 = e2
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | SIMP: (112) implies:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |   (113)  e3 = e2
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (113) imply:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |   (114)  all_56_12 = e2
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (13), (20), (21), (23), (25), (36),
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |            (46), (101), (114) are inconsistent by sub-proof
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | |            #1549.
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | End of split
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | End of split
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | Case 2:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | |   (115)  all_56_12 = e0 & op(e0, e3) = e0
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | ALPHA: (115) implies:
% 185.24/29.78  | | | | | | | | | | | | | | | | | | |   (116)  all_56_12 = e0
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (18), (22), (25), (36), (46), (47), (75),
% 185.24/29.78  | | | | | | | | | | | | | | | | | | |            (81), (116) are inconsistent by sub-proof #1509.
% 185.24/29.78  | | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | | End of split
% 185.24/29.78  | | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | End of split
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | Case 2:
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | |   (117)  all_56_15 = e2 & op(e0, e0) = e2
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | ALPHA: (117) implies:
% 185.24/29.78  | | | | | | | | | | | | | | | | |   (118)  op(e0, e0) = e2
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (22), (25), (118) are inconsistent by
% 185.24/29.78  | | | | | | | | | | | | | | | | |            sub-proof #1511.
% 185.24/29.78  | | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | | End of split
% 185.24/29.78  | | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | End of split
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | End of split
% 185.24/29.78  | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | Case 2:
% 185.24/29.78  | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | |   (119)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 185.24/29.78  | | | | | | | | | | | | | |            & op(e3, e0) = e3)
% 185.24/29.78  | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | BETA: splitting (119) gives:
% 185.24/29.78  | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | Case 1:
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | |   (120)  all_56_4 = e3 & op(e3, e1) = e3
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | ALPHA: (120) implies:
% 185.24/29.78  | | | | | | | | | | | | | | |   (121)  op(e3, e1) = e3
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | REF_CLOSE: (9), (25), (37), (70), (121) are inconsistent by
% 185.24/29.78  | | | | | | | | | | | | | | |            sub-proof #1577.
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | Case 2:
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | |   (122)  all_56_9 = e3 & op(e3, e0) = e3
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | ALPHA: (122) implies:
% 185.24/29.78  | | | | | | | | | | | | | | |   (123)  all_56_9 = e3
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | COMBINE_EQS: (61), (123) imply:
% 185.24/29.78  | | | | | | | | | | | | | | |   (124)  e3 = e1
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | SIMP: (124) implies:
% 185.24/29.78  | | | | | | | | | | | | | | |   (125)  e3 = e1
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | COMBINE_EQS: (81), (125) imply:
% 185.24/29.78  | | | | | | | | | | | | | | |   (126)  all_56_14 = e1
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (18), (20), (25), (36), (39), (46),
% 185.24/29.78  | | | | | | | | | | | | | | |            (52), (69), (126) are inconsistent by sub-proof
% 185.24/29.78  | | | | | | | | | | | | | | |            #601.
% 185.24/29.78  | | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | | End of split
% 185.24/29.78  | | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | | End of split
% 185.24/29.78  | | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | | End of split
% 185.24/29.78  | | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | | End of split
% 185.24/29.78  | | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | End of split
% 185.24/29.78  | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | Case 2:
% 185.24/29.78  | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | |   (127)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.24/29.78  | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.24/29.78  | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | | REF_CLOSE: (1), (4), (5), (9), (18), (20), (25), (36), (39),
% 185.24/29.78  | | | | | | | | | |            (46), (52), (69), (127) are inconsistent by
% 185.24/29.78  | | | | | | | | | |            sub-proof #517.
% 185.24/29.78  | | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | End of split
% 185.24/29.78  | | | | | | | | | 
% 185.24/29.78  | | | | | | | | Case 2:
% 185.24/29.78  | | | | | | | | | 
% 185.24/29.78  | | | | | | | | |   (128)  all_56_9 = e0 & op(e3, e0) = e0
% 185.24/29.78  | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | ALPHA: (128) implies:
% 185.24/29.78  | | | | | | | | |   (129)  all_56_9 = e0
% 185.24/29.78  | | | | | | | | | 
% 185.24/29.78  | | | | | | | | | REF_CLOSE: (7), (61), (129) are inconsistent by sub-proof
% 185.24/29.78  | | | | | | | | |            #1484.
% 185.24/29.78  | | | | | | | | | 
% 185.24/29.78  | | | | | | | | End of split
% 185.24/29.78  | | | | | | | | 
% 185.24/29.78  | | | | | | | End of split
% 185.24/29.78  | | | | | | | 
% 185.24/29.78  | | | | | | Case 2:
% 185.24/29.78  | | | | | | | 
% 185.24/29.78  | | | | | | |   (130)  all_56_10 = e2 & op(e2, e0) = e2
% 185.24/29.78  | | | | | | | 
% 185.24/29.78  | | | | | | | ALPHA: (130) implies:
% 185.24/29.78  | | | | | | |   (131)  all_56_10 = e2
% 185.24/29.78  | | | | | | | 
% 185.24/29.78  | | | | | | | COMBINE_EQS: (58), (131) imply:
% 185.24/29.78  | | | | | | |   (132)  e3 = e2
% 185.24/29.78  | | | | | | | 
% 185.24/29.78  | | | | | | | COMBINE_EQS: (33), (132) imply:
% 185.24/29.78  | | | | | | |   (133)  all_56_12 = e2
% 185.24/29.78  | | | | | | | 
% 185.24/29.78  | | | | | | | REF_CLOSE: (1), (3), (5), (7), (9), (11), (13), (15), (16), (17),
% 185.24/29.78  | | | | | | |            (18), (20), (21), (22), (23), (24), (25), (28), (30),
% 185.24/29.78  | | | | | | |            (35), (36), (37), (38), (39), (40), (41), (43), (44),
% 185.24/29.78  | | | | | | |            (45), (46), (48), (50), (52), (133) are inconsistent by
% 185.24/29.78  | | | | | | |            sub-proof #467.
% 185.24/29.78  | | | | | | | 
% 185.24/29.78  | | | | | | End of split
% 185.24/29.78  | | | | | | 
% 185.24/29.78  | | | | | End of split
% 185.24/29.78  | | | | | 
% 185.24/29.78  | | | | Case 2:
% 185.24/29.78  | | | | | 
% 185.24/29.78  | | | | |   (134)  all_56_10 = e1 & op(e2, e0) = e1
% 185.24/29.78  | | | | | 
% 185.24/29.78  | | | | | REF_CLOSE: (20), (58), (134) are inconsistent by sub-proof #1486.
% 185.24/29.78  | | | | | 
% 185.24/29.78  | | | | End of split
% 185.24/29.78  | | | | 
% 185.24/29.78  | | | Case 2:
% 185.24/29.78  | | | | 
% 185.24/29.78  | | | |   (135)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 185.24/29.78  | | | |              e0) = e1)
% 185.24/29.78  | | | | 
% 185.24/29.78  | | | | REF_CLOSE: (1), (4), (7), (9), (15), (17), (18), (20), (25), (30), (36),
% 185.24/29.78  | | | |            (43), (44), (46), (52), (135) are inconsistent by sub-proof
% 185.24/29.78  | | | |            #543.
% 185.24/29.78  | | | | 
% 185.24/29.78  | | | End of split
% 185.24/29.78  | | | 
% 185.24/29.78  | | End of split
% 185.24/29.78  | | 
% 185.24/29.78  | End of split
% 185.24/29.78  | 
% 185.24/29.78  End of proof
% 185.24/29.78  
% 185.24/29.78  Sub-proof #467 shows that the following formulas are inconsistent:
% 185.24/29.78  ----------------------------------------------------------------
% 185.24/29.78    (1)  op(e0, e0) = all_6_2
% 185.24/29.78    (2)   ~ (all_4_2 = e0)
% 185.24/29.78    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.24/29.78         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.24/29.78    (4)   ~ (e1 = e0)
% 185.24/29.78    (5)   ~ (e3 = e0)
% 185.24/29.78    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.24/29.78         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.24/29.78    (7)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.24/29.78         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.24/29.78    (8)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.24/29.78         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.24/29.78    (9)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.24/29.78         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.24/29.78    (10)   ~ (all_52_6 = e0)
% 185.24/29.78    (11)   ~ (e2 = e0)
% 185.24/29.78    (12)   ~ (e3 = e1)
% 185.24/29.78    (13)  op(e3, e3) = e2
% 185.24/29.78    (14)   ~ (all_6_2 = e2)
% 185.24/29.78    (15)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.24/29.78          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.24/29.78    (16)  op(e0, e3) = all_52_3
% 185.24/29.78    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.78            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.78    (18)  all_56_12 = e2
% 185.24/29.78    (19)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.24/29.78          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.24/29.78    (20)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.24/29.78          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.24/29.78    (21)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.24/29.78          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.24/29.78    (22)   ~ (e3 = e2)
% 185.24/29.78    (23)  op(e3, e1) = all_52_8
% 185.24/29.78    (24)  op(e3, e3) = all_4_2
% 185.24/29.78    (25)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.24/29.78          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.24/29.78    (26)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.24/29.78          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.24/29.78    (27)  op(e3, e2) = all_52_4
% 185.24/29.79    (28)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.24/29.79          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.24/29.79    (29)  op(e1, e2) = all_52_6
% 185.24/29.79    (30)   ~ (all_52_4 = e0)
% 185.24/29.79    (31)   ~ (e2 = e1)
% 185.24/29.79    (32)  op(e2, e2) = e0
% 185.24/29.79    (33)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.24/29.79          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.24/29.79    (34)  op(e1, e1) = e1
% 185.24/29.79  
% 185.24/29.79  Begin of proof
% 185.24/29.79  | 
% 185.24/29.79  | BETA: splitting (33) gives:
% 185.24/29.79  | 
% 185.24/29.79  | Case 1:
% 185.24/29.79  | | 
% 185.24/29.79  | |   (35)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 185.24/29.79  | |           e0)
% 185.24/29.79  | | 
% 185.24/29.79  | | BETA: splitting (35) gives:
% 185.24/29.79  | | 
% 185.24/29.79  | | Case 1:
% 185.24/29.79  | | | 
% 185.24/29.79  | | |   (36)  all_56_0 = e0 & op(e3, e3) = e0
% 185.24/29.79  | | | 
% 185.24/29.79  | | | ALPHA: (36) implies:
% 185.24/29.79  | | |   (37)  op(e3, e3) = e0
% 185.24/29.79  | | | 
% 185.24/29.79  | | | REF_CLOSE: (2), (17), (24), (37) are inconsistent by sub-proof #1624.
% 185.24/29.79  | | | 
% 185.24/29.79  | | Case 2:
% 185.24/29.79  | | | 
% 185.24/29.79  | | |   (38)  all_56_2 = e0 & op(e2, e3) = e0
% 185.24/29.79  | | | 
% 185.24/29.79  | | | ALPHA: (38) implies:
% 185.24/29.79  | | |   (39)  all_56_2 = e0
% 185.24/29.79  | | | 
% 185.24/29.79  | | | BETA: splitting (9) gives:
% 185.24/29.79  | | | 
% 185.24/29.79  | | | Case 1:
% 185.24/29.79  | | | | 
% 185.24/29.79  | | | |   (40)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2)
% 185.24/29.79  | | | |           = e1)
% 185.24/29.79  | | | | 
% 185.24/29.79  | | | | REF_CLOSE: (4), (17), (32), (39), (40) are inconsistent by sub-proof
% 185.24/29.79  | | | |            #607.
% 185.24/29.79  | | | | 
% 185.24/29.79  | | | Case 2:
% 185.24/29.79  | | | | 
% 185.24/29.79  | | | |   (41)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0)
% 185.24/29.79  | | | |           = e1)
% 185.24/29.79  | | | | 
% 185.24/29.79  | | | | BETA: splitting (41) gives:
% 185.24/29.79  | | | | 
% 185.24/29.79  | | | | Case 1:
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | |   (42)  all_56_5 = e1 & op(e2, e1) = e1
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | | ALPHA: (42) implies:
% 185.24/29.79  | | | | |   (43)  op(e2, e1) = e1
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | | REF_CLOSE: (5), (11), (12), (17), (19), (22), (26), (31), (32), (39),
% 185.24/29.79  | | | | |            (43) are inconsistent by sub-proof #603.
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | Case 2:
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | |   (44)  all_56_10 = e1 & op(e2, e0) = e1
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | | ALPHA: (44) implies:
% 185.24/29.79  | | | | |   (45)  all_56_10 = e1
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | | BETA: splitting (19) gives:
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | | Case 1:
% 185.24/29.79  | | | | | | 
% 185.24/29.79  | | | | | |   (46)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2,
% 185.24/29.79  | | | | | |             e2) = e2)
% 185.24/29.79  | | | | | | 
% 185.24/29.79  | | | | | | REF_CLOSE: (2), (4), (5), (7), (11), (12), (13), (15), (16), (17),
% 185.24/29.79  | | | | | |            (19), (22), (24), (26), (31), (32), (33), (45), (46) are
% 185.24/29.79  | | | | | |            inconsistent by sub-proof #472.
% 185.24/29.79  | | | | | | 
% 185.24/29.79  | | | | | Case 2:
% 185.24/29.79  | | | | | | 
% 185.24/29.79  | | | | | |   (47)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2,
% 185.24/29.79  | | | | | |             e0) = e2)
% 185.24/29.79  | | | | | | 
% 185.24/29.79  | | | | | | BETA: splitting (47) gives:
% 185.24/29.79  | | | | | | 
% 185.24/29.79  | | | | | | Case 1:
% 185.24/29.79  | | | | | | | 
% 185.24/29.79  | | | | | | |   (48)  all_56_5 = e2 & op(e2, e1) = e2
% 185.24/29.79  | | | | | | | 
% 185.24/29.79  | | | | | | | ALPHA: (48) implies:
% 185.24/29.79  | | | | | | |   (49)  op(e2, e1) = e2
% 185.24/29.79  | | | | | | | 
% 185.24/29.79  | | | | | | | BETA: splitting (21) gives:
% 185.24/29.79  | | | | | | | 
% 185.24/29.79  | | | | | | | Case 1:
% 185.24/29.79  | | | | | | | | 
% 185.24/29.79  | | | | | | | |   (50)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 &
% 185.24/29.79  | | | | | | | |           op(e2, e0) = e2)
% 185.24/29.79  | | | | | | | | 
% 185.24/29.79  | | | | | | | | BETA: splitting (50) gives:
% 185.24/29.79  | | | | | | | | 
% 185.24/29.79  | | | | | | | | Case 1:
% 185.24/29.79  | | | | | | | | | 
% 185.24/29.79  | | | | | | | | |   (51)  all_56_9 = e2 & op(e3, e0) = e2
% 185.24/29.79  | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | ALPHA: (51) implies:
% 185.24/29.79  | | | | | | | | |   (52)  all_56_9 = e2
% 185.24/29.79  | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | BETA: splitting (6) gives:
% 185.24/29.79  | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | Case 1:
% 185.24/29.79  | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | |   (53)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 &
% 185.24/29.79  | | | | | | | | | |           op(e3, e2) = e0)
% 185.24/29.79  | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | REF_CLOSE: (2), (17), (24), (27), (30), (53) are inconsistent
% 185.24/29.79  | | | | | | | | | |            by sub-proof #1060.
% 185.24/29.79  | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | Case 2:
% 185.24/29.79  | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | |   (54)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 &
% 185.24/29.79  | | | | | | | | | |           op(e3, e0) = e0)
% 185.24/29.79  | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | BETA: splitting (54) gives:
% 185.24/29.79  | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | Case 1:
% 185.24/29.79  | | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | |   (55)  all_56_4 = e0 & op(e3, e1) = e0
% 185.24/29.79  | | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | | ALPHA: (55) implies:
% 185.24/29.79  | | | | | | | | | | |   (56)  all_56_4 = e0
% 185.24/29.79  | | | | | | | | | | |   (57)  op(e3, e1) = e0
% 185.24/29.79  | | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | | REF_CLOSE: (3), (5), (11), (12), (17), (22), (23), (25),
% 185.24/29.79  | | | | | | | | | | |            (26), (31), (32), (34), (39), (45), (49), (56),
% 185.24/29.79  | | | | | | | | | | |            (57) are inconsistent by sub-proof #471.
% 185.24/29.79  | | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | Case 2:
% 185.24/29.79  | | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | |   (58)  all_56_9 = e0 & op(e3, e0) = e0
% 185.24/29.79  | | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | | REF_CLOSE: (11), (52), (58) are inconsistent by sub-proof
% 185.24/29.79  | | | | | | | | | | |            #1574.
% 185.24/29.79  | | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | End of split
% 185.24/29.79  | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | End of split
% 185.24/29.79  | | | | | | | | | 
% 185.24/29.79  | | | | | | | | Case 2:
% 185.24/29.79  | | | | | | | | | 
% 185.24/29.79  | | | | | | | | |   (59)  all_56_10 = e2 & op(e2, e0) = e2
% 185.24/29.79  | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | ALPHA: (59) implies:
% 185.24/29.79  | | | | | | | | |   (60)  all_56_10 = e2
% 185.24/29.79  | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | REF_CLOSE: (31), (45), (60) are inconsistent by sub-proof
% 185.24/29.79  | | | | | | | | |            #1064.
% 185.24/29.79  | | | | | | | | | 
% 185.24/29.79  | | | | | | | | End of split
% 185.24/29.79  | | | | | | | | 
% 185.24/29.79  | | | | | | | Case 2:
% 185.24/29.79  | | | | | | | | 
% 185.24/29.79  | | | | | | | |   (61)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 &
% 185.24/29.79  | | | | | | | |           op(e0, e0) = e2)
% 185.24/29.79  | | | | | | | | 
% 185.24/29.79  | | | | | | | | BETA: splitting (61) gives:
% 185.24/29.79  | | | | | | | | 
% 185.24/29.79  | | | | | | | | Case 1:
% 185.24/29.79  | | | | | | | | | 
% 185.24/29.79  | | | | | | | | |   (62)  all_56_11 = e2 & op(e1, e0) = e2
% 185.24/29.79  | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | ALPHA: (62) implies:
% 185.24/29.79  | | | | | | | | |   (63)  all_56_11 = e2
% 185.24/29.79  | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | BETA: splitting (7) gives:
% 185.24/29.79  | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | Case 1:
% 185.24/29.79  | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | |   (64)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 &
% 185.24/29.79  | | | | | | | | | |           op(e2, e3) = e1)
% 185.24/29.79  | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | REF_CLOSE: (4), (13), (17), (31), (39), (64) are inconsistent
% 185.24/29.79  | | | | | | | | | |            by sub-proof #470.
% 185.24/29.79  | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | Case 2:
% 185.24/29.79  | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | |   (65)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1
% 185.24/29.79  | | | | | | | | | |           & op(e0, e3) = e1)
% 185.24/29.79  | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | BETA: splitting (65) gives:
% 185.24/29.79  | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | Case 1:
% 185.24/29.79  | | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | |   (66)  all_56_6 = e1 & op(e1, e3) = e1
% 185.24/29.79  | | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | | ALPHA: (66) implies:
% 185.24/29.79  | | | | | | | | | | |   (67)  all_56_6 = e1
% 185.24/29.79  | | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | | REF_CLOSE: (4), (8), (10), (11), (17), (29), (34), (63), (67)
% 185.24/29.79  | | | | | | | | | | |            are inconsistent by sub-proof #468.
% 185.24/29.79  | | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | Case 2:
% 185.24/29.79  | | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | |   (68)  all_56_12 = e1 & op(e0, e3) = e1
% 185.24/29.79  | | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | | ALPHA: (68) implies:
% 185.24/29.79  | | | | | | | | | | |   (69)  all_56_12 = e1
% 185.24/29.79  | | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | | COMBINE_EQS: (18), (69) imply:
% 185.24/29.79  | | | | | | | | | | |   (70)  e2 = e1
% 185.24/29.79  | | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | | COMBINE_EQS: (63), (70) imply:
% 185.24/29.79  | | | | | | | | | | |   (71)  all_56_11 = e1
% 185.24/29.79  | | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (10), (11), (12), (17), (20), (22),
% 185.24/29.79  | | | | | | | | | | |            (28), (29), (31), (34), (71) are inconsistent by
% 185.24/29.79  | | | | | | | | | | |            sub-proof #544.
% 185.24/29.79  | | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | | End of split
% 185.24/29.79  | | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | End of split
% 185.24/29.79  | | | | | | | | | 
% 185.24/29.79  | | | | | | | | Case 2:
% 185.24/29.79  | | | | | | | | | 
% 185.24/29.79  | | | | | | | | |   (72)  all_56_15 = e2 & op(e0, e0) = e2
% 185.24/29.79  | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | ALPHA: (72) implies:
% 185.24/29.79  | | | | | | | | |   (73)  op(e0, e0) = e2
% 185.24/29.79  | | | | | | | | | 
% 185.24/29.79  | | | | | | | | | REF_CLOSE: (1), (14), (17), (73) are inconsistent by sub-proof
% 185.24/29.79  | | | | | | | | |            #1511.
% 185.24/29.79  | | | | | | | | | 
% 185.24/29.79  | | | | | | | | End of split
% 185.24/29.79  | | | | | | | | 
% 185.24/29.79  | | | | | | | End of split
% 185.24/29.79  | | | | | | | 
% 185.24/29.79  | | | | | | Case 2:
% 185.24/29.79  | | | | | | | 
% 185.24/29.79  | | | | | | |   (74)  all_56_10 = e2 & op(e2, e0) = e2
% 185.24/29.79  | | | | | | | 
% 185.24/29.79  | | | | | | | ALPHA: (74) implies:
% 185.24/29.79  | | | | | | |   (75)  all_56_10 = e2
% 185.24/29.79  | | | | | | | 
% 185.24/29.79  | | | | | | | REF_CLOSE: (31), (45), (75) are inconsistent by sub-proof #1064.
% 185.24/29.79  | | | | | | | 
% 185.24/29.79  | | | | | | End of split
% 185.24/29.79  | | | | | | 
% 185.24/29.79  | | | | | End of split
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | End of split
% 185.24/29.79  | | | | 
% 185.24/29.79  | | | End of split
% 185.24/29.79  | | | 
% 185.24/29.79  | | End of split
% 185.24/29.79  | | 
% 185.24/29.79  | Case 2:
% 185.24/29.79  | | 
% 185.24/29.79  | |   (76)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 185.24/29.79  | |           e0)
% 185.24/29.79  | | 
% 185.24/29.79  | | BETA: splitting (76) gives:
% 185.24/29.79  | | 
% 185.24/29.79  | | Case 1:
% 185.24/29.79  | | | 
% 185.24/29.79  | | |   (77)  all_56_6 = e0 & op(e1, e3) = e0
% 185.24/29.79  | | | 
% 185.24/29.79  | | | ALPHA: (77) implies:
% 185.24/29.79  | | |   (78)  all_56_6 = e0
% 185.24/29.79  | | | 
% 185.24/29.79  | | | REF_CLOSE: (4), (5), (7), (12), (13), (15), (17), (18), (22), (31), (78)
% 185.24/29.79  | | |            are inconsistent by sub-proof #1549.
% 185.24/29.79  | | | 
% 185.24/29.79  | | Case 2:
% 185.24/29.79  | | | 
% 185.24/29.79  | | |   (79)  all_56_12 = e0 & op(e0, e3) = e0
% 185.24/29.79  | | | 
% 185.24/29.79  | | | REF_CLOSE: (11), (18), (79) are inconsistent by sub-proof #1553.
% 185.24/29.79  | | | 
% 185.24/29.79  | | End of split
% 185.24/29.79  | | 
% 185.24/29.79  | End of split
% 185.24/29.79  | 
% 185.24/29.79  End of proof
% 185.24/29.79  
% 185.24/29.79  Sub-proof #468 shows that the following formulas are inconsistent:
% 185.24/29.79  ----------------------------------------------------------------
% 185.24/29.79    (1)   ~ (e1 = e0)
% 185.24/29.79    (2)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.24/29.79         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.24/29.79    (3)   ~ (all_52_6 = e0)
% 185.24/29.79    (4)   ~ (e2 = e0)
% 185.24/29.79    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.79    (6)  all_56_11 = e2
% 185.24/29.79    (7)  op(e1, e2) = all_52_6
% 185.24/29.79    (8)  all_56_6 = e1
% 185.24/29.79    (9)  op(e1, e1) = e1
% 185.24/29.79  
% 185.24/29.79  Begin of proof
% 185.24/29.79  | 
% 185.24/29.79  | BETA: splitting (2) gives:
% 185.24/29.79  | 
% 185.24/29.79  | Case 1:
% 185.24/29.79  | | 
% 185.24/29.79  | |   (10)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 185.24/29.79  | |           e0)
% 185.24/29.79  | | 
% 185.24/29.79  | | REF_CLOSE: (1), (3), (5), (7), (8), (10) are inconsistent by sub-proof #469.
% 185.24/29.79  | | 
% 185.24/29.79  | Case 2:
% 185.24/29.79  | | 
% 185.24/29.79  | |   (11)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.24/29.79  | |           e0)
% 185.24/29.79  | | 
% 185.24/29.79  | | REF_CLOSE: (1), (4), (5), (6), (9), (11) are inconsistent by sub-proof
% 185.24/29.79  | |            #1422.
% 185.24/29.79  | | 
% 185.24/29.79  | End of split
% 185.24/29.79  | 
% 185.24/29.79  End of proof
% 185.24/29.79  
% 185.24/29.79  Sub-proof #469 shows that the following formulas are inconsistent:
% 185.24/29.79  ----------------------------------------------------------------
% 185.24/29.79    (1)   ~ (e1 = e0)
% 185.24/29.79    (2)   ~ (all_52_6 = e0)
% 185.24/29.79    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.79    (4)  op(e1, e2) = all_52_6
% 185.24/29.79    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0)
% 185.24/29.79    (6)  all_56_6 = e1
% 185.24/29.79  
% 185.24/29.79  Begin of proof
% 185.24/29.79  | 
% 185.24/29.79  | BETA: splitting (5) gives:
% 185.24/29.79  | 
% 185.24/29.79  | Case 1:
% 185.24/29.79  | | 
% 185.24/29.79  | |   (7)  all_56_6 = e0 & op(e1, e3) = e0
% 185.24/29.79  | | 
% 185.24/29.79  | | ALPHA: (7) implies:
% 185.24/29.79  | |   (8)  all_56_6 = e0
% 185.24/29.79  | | 
% 185.24/29.79  | | REF_CLOSE: (1), (6), (8) are inconsistent by sub-proof #1551.
% 185.24/29.79  | | 
% 185.24/29.79  | Case 2:
% 185.24/29.79  | | 
% 185.24/29.79  | |   (9)  all_56_7 = e0 & op(e1, e2) = e0
% 185.24/29.79  | | 
% 185.24/29.79  | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #1199.
% 185.24/29.79  | | 
% 185.24/29.79  | End of split
% 185.24/29.79  | 
% 185.24/29.79  End of proof
% 185.24/29.79  
% 185.24/29.79  Sub-proof #470 shows that the following formulas are inconsistent:
% 185.24/29.79  ----------------------------------------------------------------
% 185.24/29.79    (1)   ~ (e1 = e0)
% 185.24/29.79    (2)  all_56_2 = e0
% 185.24/29.79    (3)  op(e3, e3) = e2
% 185.24/29.79    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.79    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 185.24/29.79    (6)   ~ (e2 = e1)
% 185.24/29.79  
% 185.24/29.79  Begin of proof
% 185.24/29.79  | 
% 185.24/29.79  | BETA: splitting (5) gives:
% 185.24/29.79  | 
% 185.24/29.79  | Case 1:
% 185.24/29.79  | | 
% 185.24/29.79  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 185.24/29.79  | | 
% 185.24/29.79  | | ALPHA: (7) implies:
% 185.24/29.79  | |   (8)  op(e3, e3) = e1
% 185.24/29.79  | | 
% 185.24/29.79  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #1582.
% 185.24/29.79  | | 
% 185.24/29.79  | Case 2:
% 185.24/29.79  | | 
% 185.24/29.79  | |   (9)  all_56_2 = e1 & op(e2, e3) = e1
% 185.24/29.79  | | 
% 185.24/29.79  | | ALPHA: (9) implies:
% 185.24/29.79  | |   (10)  all_56_2 = e1
% 185.24/29.79  | | 
% 185.24/29.79  | | REF_CLOSE: (1), (2), (10) are inconsistent by sub-proof #1535.
% 185.24/29.79  | | 
% 185.24/29.79  | End of split
% 185.24/29.79  | 
% 185.24/29.79  End of proof
% 185.24/29.79  
% 185.24/29.79  Sub-proof #471 shows that the following formulas are inconsistent:
% 185.24/29.79  ----------------------------------------------------------------
% 185.24/29.79    (1)  op(e2, e1) = e2
% 185.24/29.79    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.24/29.79         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.24/29.79    (3)   ~ (e3 = e0)
% 185.24/29.79    (4)  all_56_2 = e0
% 185.24/29.79    (5)   ~ (e2 = e0)
% 185.24/29.79    (6)   ~ (e3 = e1)
% 185.24/29.79    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.79    (8)   ~ (e3 = e2)
% 185.24/29.79    (9)  op(e3, e1) = e0
% 185.24/29.79    (10)  all_56_10 = e1
% 185.24/29.79    (11)  op(e3, e1) = all_52_8
% 185.24/29.79    (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.24/29.79          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.24/29.79    (13)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.24/29.79          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.24/29.79    (14)  all_56_4 = e0
% 185.24/29.79    (15)   ~ (e2 = e1)
% 185.24/29.79    (16)  op(e2, e2) = e0
% 185.24/29.79    (17)  op(e1, e1) = e1
% 185.24/29.79  
% 185.24/29.79  Begin of proof
% 185.24/29.79  | 
% 185.24/29.79  | BETA: splitting (2) gives:
% 185.24/29.79  | 
% 185.24/29.79  | Case 1:
% 185.24/29.79  | | 
% 185.24/29.79  | |   (18)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 185.24/29.79  | |           e3)
% 185.24/29.79  | | 
% 185.24/29.79  | | REF_CLOSE: (1), (3), (7), (8), (9), (11), (18) are inconsistent by sub-proof
% 185.24/29.79  | |            #1004.
% 185.24/29.79  | | 
% 185.24/29.79  | Case 2:
% 185.24/29.79  | | 
% 185.24/29.79  | |   (19)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 185.24/29.79  | |           e3)
% 185.24/29.79  | | 
% 185.24/29.79  | | BETA: splitting (19) gives:
% 185.24/29.79  | | 
% 185.24/29.79  | | Case 1:
% 185.24/29.79  | | | 
% 185.24/29.79  | | |   (20)  all_56_8 = e3 & op(e1, e1) = e3
% 185.24/29.79  | | | 
% 185.24/29.79  | | | ALPHA: (20) implies:
% 185.24/29.79  | | |   (21)  op(e1, e1) = e3
% 185.24/29.79  | | | 
% 185.24/29.79  | | | REF_CLOSE: (6), (7), (17), (21) are inconsistent by sub-proof #1541.
% 185.24/29.79  | | | 
% 185.24/29.79  | | Case 2:
% 185.24/29.79  | | | 
% 185.24/29.79  | | |   (22)  all_56_14 = e3 & op(e0, e1) = e3
% 185.24/29.79  | | | 
% 185.24/29.79  | | | ALPHA: (22) implies:
% 185.24/29.79  | | |   (23)  all_56_14 = e3
% 185.24/29.79  | | | 
% 185.24/29.79  | | | BETA: splitting (13) gives:
% 185.24/29.79  | | | 
% 185.24/29.79  | | | Case 1:
% 185.24/29.79  | | | | 
% 185.24/29.79  | | | |   (24)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2)
% 185.24/29.79  | | | |           = e3)
% 185.24/29.79  | | | | 
% 185.24/29.79  | | | | REF_CLOSE: (3), (4), (7), (16), (24) are inconsistent by sub-proof #605.
% 185.24/29.79  | | | | 
% 185.24/29.79  | | | Case 2:
% 185.24/29.79  | | | | 
% 185.24/29.79  | | | |   (25)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0)
% 185.24/29.79  | | | |           = e3)
% 185.24/29.79  | | | | 
% 185.24/29.79  | | | | BETA: splitting (25) gives:
% 185.24/29.79  | | | | 
% 185.24/29.79  | | | | Case 1:
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | |   (26)  all_56_5 = e3 & op(e2, e1) = e3
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | | ALPHA: (26) implies:
% 185.24/29.79  | | | | |   (27)  op(e2, e1) = e3
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | | REF_CLOSE: (1), (7), (8), (27) are inconsistent by sub-proof #1297.
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | Case 2:
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | |   (28)  all_56_10 = e3 & op(e2, e0) = e3
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | | ALPHA: (28) implies:
% 185.24/29.79  | | | | |   (29)  all_56_10 = e3
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | | COMBINE_EQS: (10), (29) imply:
% 185.24/29.79  | | | | |   (30)  e3 = e1
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | | COMBINE_EQS: (23), (30) imply:
% 185.24/29.79  | | | | |   (31)  all_56_14 = e1
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (12), (14), (15), (17), (31)
% 185.24/29.79  | | | | |            are inconsistent by sub-proof #601.
% 185.24/29.79  | | | | | 
% 185.24/29.79  | | | | End of split
% 185.24/29.79  | | | | 
% 185.24/29.79  | | | End of split
% 185.24/29.79  | | | 
% 185.24/29.79  | | End of split
% 185.24/29.79  | | 
% 185.24/29.79  | End of split
% 185.24/29.79  | 
% 185.24/29.79  End of proof
% 185.24/29.79  
% 185.24/29.79  Sub-proof #472 shows that the following formulas are inconsistent:
% 185.24/29.79  ----------------------------------------------------------------
% 185.24/29.79    (1)   ~ (all_4_2 = e0)
% 185.24/29.79    (2)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 185.24/29.79    (3)   ~ (e1 = e0)
% 185.24/29.79    (4)   ~ (e3 = e0)
% 185.24/29.79    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.24/29.79         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.24/29.79    (6)   ~ (e2 = e0)
% 185.24/29.79    (7)   ~ (e3 = e1)
% 185.24/29.79    (8)  op(e3, e3) = e2
% 185.24/29.79    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.24/29.79         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.24/29.79    (10)  op(e0, e3) = all_52_3
% 185.24/29.79    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.79            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.79    (12)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.24/29.79          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.24/29.79    (13)   ~ (e3 = e2)
% 185.24/29.79    (14)  all_56_10 = e1
% 185.24/29.79    (15)  op(e3, e3) = all_4_2
% 185.24/29.79    (16)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.24/29.79          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.24/29.79    (17)   ~ (e2 = e1)
% 185.24/29.79    (18)  op(e2, e2) = e0
% 185.24/29.79    (19)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.24/29.79          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.24/29.79  
% 185.24/29.79  Begin of proof
% 185.24/29.79  | 
% 185.24/29.79  | BETA: splitting (2) gives:
% 185.24/29.79  | 
% 185.24/29.79  | Case 1:
% 185.24/29.79  | | 
% 185.24/29.79  | |   (20)  all_56_2 = e2 & op(e2, e3) = e2
% 185.24/29.79  | | 
% 185.24/29.79  | | ALPHA: (20) implies:
% 185.24/29.79  | |   (21)  all_56_2 = e2
% 185.24/29.79  | | 
% 185.24/29.79  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 185.24/29.79  | |            (14), (15), (16), (17), (18), (19), (21) are inconsistent by
% 185.24/29.79  | |            sub-proof #475.
% 185.24/29.79  | | 
% 185.24/29.79  | Case 2:
% 185.24/29.79  | | 
% 185.24/29.79  | |   (22)  all_56_3 = e2 & op(e2, e2) = e2
% 185.24/29.79  | | 
% 185.24/29.79  | | ALPHA: (22) implies:
% 185.24/29.79  | |   (23)  op(e2, e2) = e2
% 185.24/29.79  | | 
% 185.24/29.79  | | REF_CLOSE: (6), (11), (18), (23) are inconsistent by sub-proof #1586.
% 185.24/29.79  | | 
% 185.24/29.79  | End of split
% 185.24/29.79  | 
% 185.24/29.79  End of proof
% 185.24/29.79  
% 185.24/29.79  Sub-proof #473 shows that the following formulas are inconsistent:
% 185.24/29.79  ----------------------------------------------------------------
% 185.24/29.79    (1)  op(e0, e0) = all_6_2
% 185.24/29.79    (2)   ~ (all_4_2 = e0)
% 185.24/29.79    (3)   ~ (all_6_2 = e1)
% 185.24/29.79    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.24/29.79         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.24/29.79    (5)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 185.24/29.79    (6)   ~ (e1 = e0)
% 185.24/29.79    (7)   ~ (all_52_9 = e0)
% 185.24/29.79    (8)   ~ (e3 = e0)
% 185.24/29.79    (9)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.24/29.79         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.24/29.79    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.24/29.79          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.24/29.79    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.24/29.79          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.24/29.79    (12)  op(e2, e1) = all_52_9
% 185.24/29.79    (13)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.24/29.79          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.24/29.79    (14)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.24/29.79          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.24/29.79    (15)   ~ (all_52_6 = e0)
% 185.24/29.79    (16)   ~ (e2 = e0)
% 185.24/29.79    (17)   ~ (e3 = e1)
% 185.24/29.79    (18)  op(e3, e3) = e2
% 185.24/29.79    (19)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.24/29.79          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.24/29.79    (20)  op(e0, e3) = all_52_3
% 185.24/29.79    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.79            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.79    (22)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.24/29.79          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.24/29.79    (23)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.24/29.79          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.24/29.79    (24)  all_56_3 = e0
% 185.24/29.79    (25)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.24/29.79          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.24/29.79    (26)   ~ (e3 = e2)
% 185.24/29.79    (27)  op(e3, e1) = all_52_8
% 185.24/29.79    (28)  op(e3, e3) = all_4_2
% 185.24/29.79    (29)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.24/29.79          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.24/29.79    (30)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.24/29.79          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.24/29.79    (31)  op(e3, e2) = all_52_4
% 185.24/29.79    (32)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.24/29.79          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.24/29.79    (33)  op(e1, e2) = all_52_6
% 185.24/29.79    (34)   ~ (all_52_4 = e0)
% 185.24/29.79    (35)   ~ (e2 = e1)
% 185.24/29.79    (36)  op(e2, e2) = e0
% 185.24/29.79    (37)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.24/29.79          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.24/29.79    (38)  op(e1, e1) = e1
% 185.24/29.79  
% 185.24/29.79  Begin of proof
% 185.24/29.79  | 
% 185.24/29.79  | BETA: splitting (5) gives:
% 185.24/29.79  | 
% 185.24/29.79  | Case 1:
% 185.24/29.79  | | 
% 185.24/29.79  | |   (39)  all_56_2 = e2 & op(e2, e3) = e2
% 185.24/29.79  | | 
% 185.24/29.79  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 185.24/29.79  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 185.24/29.79  | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 185.24/29.79  | |            (36), (37), (38), (39) are inconsistent by sub-proof #474.
% 185.24/29.79  | | 
% 185.24/29.79  | Case 2:
% 185.24/29.79  | | 
% 185.24/29.79  | |   (40)  all_56_3 = e2 & op(e2, e2) = e2
% 185.24/29.79  | | 
% 185.24/29.79  | | ALPHA: (40) implies:
% 185.24/29.79  | |   (41)  op(e2, e2) = e2
% 185.24/29.79  | | 
% 185.24/29.79  | | REF_CLOSE: (16), (21), (36), (41) are inconsistent by sub-proof #1586.
% 185.24/29.79  | | 
% 185.24/29.79  | End of split
% 185.24/29.79  | 
% 185.24/29.79  End of proof
% 185.24/29.79  
% 185.24/29.79  Sub-proof #474 shows that the following formulas are inconsistent:
% 185.24/29.79  ----------------------------------------------------------------
% 185.24/29.79    (1)  op(e0, e0) = all_6_2
% 185.24/29.79    (2)   ~ (all_4_2 = e0)
% 185.24/29.79    (3)   ~ (all_6_2 = e1)
% 185.24/29.79    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.24/29.79         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.24/29.79    (5)   ~ (e1 = e0)
% 185.24/29.79    (6)   ~ (all_52_9 = e0)
% 185.24/29.79    (7)   ~ (e3 = e0)
% 185.24/29.79    (8)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.24/29.79         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.24/29.79    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.24/29.79         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.24/29.79    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.24/29.79          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.24/29.79    (11)  op(e2, e1) = all_52_9
% 185.24/29.79    (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.24/29.79          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.24/29.79    (13)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.24/29.79          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.24/29.79    (14)   ~ (all_52_6 = e0)
% 185.24/29.79    (15)   ~ (e2 = e0)
% 185.24/29.79    (16)   ~ (e3 = e1)
% 185.24/29.79    (17)  op(e3, e3) = e2
% 185.24/29.79    (18)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.24/29.79          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.24/29.79    (19)  op(e0, e3) = all_52_3
% 185.24/29.79    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.79            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.79    (21)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.24/29.79          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.24/29.79    (22)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.24/29.79          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.24/29.79    (23)  all_56_3 = e0
% 185.24/29.79    (24)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.24/29.79          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.24/29.79    (25)   ~ (e3 = e2)
% 185.24/29.79    (26)  op(e3, e1) = all_52_8
% 185.24/29.79    (27)  op(e3, e3) = all_4_2
% 185.24/29.79    (28)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.24/29.79          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.24/29.79    (29)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.24/29.79          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.24/29.79    (30)  op(e3, e2) = all_52_4
% 185.24/29.79    (31)  all_56_2 = e2 & op(e2, e3) = e2
% 185.24/29.79    (32)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.24/29.79          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.24/29.79    (33)  op(e1, e2) = all_52_6
% 185.24/29.79    (34)   ~ (all_52_4 = e0)
% 185.24/29.79    (35)   ~ (e2 = e1)
% 185.24/29.79    (36)  op(e2, e2) = e0
% 185.24/29.79    (37)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.24/29.79          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.24/29.79    (38)  op(e1, e1) = e1
% 185.24/29.79  
% 185.24/29.79  Begin of proof
% 185.24/29.79  | 
% 185.24/29.79  | ALPHA: (31) implies:
% 185.24/29.79  |   (39)  all_56_2 = e2
% 185.24/29.79  | 
% 185.24/29.79  | BETA: splitting (13) gives:
% 185.24/29.79  | 
% 185.24/29.79  | Case 1:
% 185.24/29.79  | | 
% 185.24/29.79  | |   (40)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 185.24/29.79  | |           e1)
% 185.24/29.79  | | 
% 185.24/29.79  | | REF_CLOSE: (5), (20), (35), (36), (39), (40) are inconsistent by sub-proof
% 185.24/29.79  | |            #485.
% 185.24/29.79  | | 
% 185.24/29.79  | Case 2:
% 185.24/29.79  | | 
% 185.24/29.79  | |   (41)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 185.24/29.79  | |           e1)
% 185.24/29.79  | | 
% 185.24/29.79  | | BETA: splitting (41) gives:
% 185.24/29.79  | | 
% 185.24/29.79  | | Case 1:
% 185.24/29.79  | | | 
% 185.24/29.79  | | |   (42)  all_56_5 = e1 & op(e2, e1) = e1
% 185.24/29.79  | | | 
% 185.24/29.79  | | | ALPHA: (42) implies:
% 185.24/29.79  | | |   (43)  op(e2, e1) = e1
% 185.24/29.79  | | | 
% 185.24/29.79  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (14),
% 185.24/29.79  | | |            (15), (16), (20), (21), (22), (23), (24), (25), (26), (27),
% 185.24/29.79  | | |            (28), (29), (30), (32), (33), (34), (35), (36), (38), (39),
% 185.24/29.79  | | |            (43) are inconsistent by sub-proof #482.
% 185.24/29.79  | | | 
% 185.24/29.79  | | Case 2:
% 185.24/29.79  | | | 
% 185.24/29.79  | | |   (44)  all_56_10 = e1 & op(e2, e0) = e1
% 185.24/29.79  | | | 
% 185.24/29.79  | | | ALPHA: (44) implies:
% 185.24/29.79  | | |   (45)  all_56_10 = e1
% 185.24/29.79  | | | 
% 185.24/29.79  | | | REF_CLOSE: (2), (5), (7), (10), (15), (16), (17), (18), (19), (20), (22),
% 185.24/29.79  | | |            (25), (27), (29), (35), (36), (37), (39), (45) are inconsistent
% 185.24/29.79  | | |            by sub-proof #475.
% 185.24/29.79  | | | 
% 185.24/29.79  | | End of split
% 185.24/29.79  | | 
% 185.24/29.79  | End of split
% 185.24/29.79  | 
% 185.24/29.79  End of proof
% 185.24/29.79  
% 185.24/29.79  Sub-proof #475 shows that the following formulas are inconsistent:
% 185.24/29.79  ----------------------------------------------------------------
% 185.24/29.79    (1)   ~ (all_4_2 = e0)
% 185.24/29.79    (2)   ~ (e1 = e0)
% 185.24/29.79    (3)  all_56_2 = e2
% 185.24/29.79    (4)   ~ (e3 = e0)
% 185.24/29.79    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.24/29.79         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.24/29.79    (6)   ~ (e2 = e0)
% 185.24/29.79    (7)   ~ (e3 = e1)
% 185.24/29.79    (8)  op(e3, e3) = e2
% 185.24/29.79    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.24/29.79         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.24/29.79    (10)  op(e0, e3) = all_52_3
% 185.24/29.79    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.79            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.79    (12)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.24/29.79          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.24/29.79    (13)   ~ (e3 = e2)
% 185.24/29.79    (14)  all_56_10 = e1
% 185.24/29.79    (15)  op(e3, e3) = all_4_2
% 185.24/29.79    (16)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.24/29.79          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.24/29.79    (17)   ~ (e2 = e1)
% 185.24/29.79    (18)  op(e2, e2) = e0
% 185.24/29.79    (19)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.24/29.79          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.24/29.79  
% 185.24/29.79  Begin of proof
% 185.24/29.79  | 
% 185.24/29.79  | BETA: splitting (5) gives:
% 185.24/29.79  | 
% 185.24/29.79  | Case 1:
% 185.24/29.79  | | 
% 185.24/29.79  | |   (20)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 185.24/29.79  | |           e1)
% 185.24/29.79  | | 
% 185.24/29.79  | | REF_CLOSE: (3), (8), (11), (17), (20) are inconsistent by sub-proof #481.
% 185.24/29.79  | | 
% 185.24/29.79  | Case 2:
% 185.24/29.79  | | 
% 185.24/29.79  | |   (21)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 185.24/29.79  | |           e1)
% 185.24/29.79  | | 
% 185.24/29.79  | | BETA: splitting (21) gives:
% 185.24/29.79  | | 
% 185.24/29.79  | | Case 1:
% 185.24/29.79  | | | 
% 185.24/29.79  | | |   (22)  all_56_6 = e1 & op(e1, e3) = e1
% 185.24/29.79  | | | 
% 185.24/29.79  | | | ALPHA: (22) implies:
% 185.24/29.79  | | |   (23)  all_56_6 = e1
% 185.24/29.79  | | | 
% 185.24/29.79  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (11), (13), (15), (19),
% 185.24/29.79  | | |            (23) are inconsistent by sub-proof #479.
% 185.24/29.79  | | | 
% 185.24/29.79  | | Case 2:
% 185.24/29.79  | | | 
% 185.24/29.79  | | |   (24)  all_56_12 = e1 & op(e0, e3) = e1
% 185.24/29.79  | | | 
% 185.24/29.79  | | | ALPHA: (24) implies:
% 185.24/29.80  | | |   (25)  op(e0, e3) = e1
% 185.24/29.80  | | | 
% 185.24/29.80  | | | BETA: splitting (19) gives:
% 185.24/29.80  | | | 
% 185.24/29.80  | | | Case 1:
% 185.24/29.80  | | | | 
% 185.24/29.80  | | | |   (26)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3)
% 185.24/29.80  | | | |           = e0)
% 185.24/29.80  | | | | 
% 185.24/29.80  | | | | REF_CLOSE: (1), (3), (6), (11), (15), (26) are inconsistent by sub-proof
% 185.24/29.80  | | | |            #1226.
% 185.24/29.80  | | | | 
% 185.24/29.80  | | | Case 2:
% 185.24/29.80  | | | | 
% 185.24/29.80  | | | |   (27)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3)
% 185.24/29.80  | | | |           = e0)
% 185.24/29.80  | | | | 
% 185.24/29.80  | | | | BETA: splitting (27) gives:
% 185.24/29.80  | | | | 
% 185.24/29.80  | | | | Case 1:
% 185.24/29.80  | | | | | 
% 185.24/29.80  | | | | |   (28)  all_56_6 = e0 & op(e1, e3) = e0
% 185.24/29.80  | | | | | 
% 185.24/29.80  | | | | | ALPHA: (28) implies:
% 185.24/29.80  | | | | |   (29)  all_56_6 = e0
% 185.24/29.80  | | | | | 
% 185.24/29.80  | | | | | REF_CLOSE: (3), (4), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 185.24/29.80  | | | | |            (16), (17), (18), (25), (29) are inconsistent by sub-proof
% 185.24/29.80  | | | | |            #476.
% 185.24/29.80  | | | | | 
% 185.24/29.80  | | | | Case 2:
% 185.24/29.80  | | | | | 
% 185.24/29.80  | | | | |   (30)  all_56_12 = e0 & op(e0, e3) = e0
% 185.24/29.80  | | | | | 
% 185.24/29.80  | | | | | ALPHA: (30) implies:
% 185.24/29.80  | | | | |   (31)  op(e0, e3) = e0
% 185.24/29.80  | | | | | 
% 185.24/29.80  | | | | | REF_CLOSE: (2), (11), (25), (31) are inconsistent by sub-proof #1589.
% 185.24/29.80  | | | | | 
% 185.24/29.80  | | | | End of split
% 185.24/29.80  | | | | 
% 185.24/29.80  | | | End of split
% 185.24/29.80  | | | 
% 185.24/29.80  | | End of split
% 185.24/29.80  | | 
% 185.24/29.80  | End of split
% 185.24/29.80  | 
% 185.24/29.80  End of proof
% 185.24/29.80  
% 185.24/29.80  Sub-proof #476 shows that the following formulas are inconsistent:
% 185.24/29.80  ----------------------------------------------------------------
% 185.24/29.80    (1)  all_56_6 = e0
% 185.24/29.80    (2)  all_56_2 = e2
% 185.24/29.80    (3)   ~ (e3 = e0)
% 185.24/29.80    (4)  op(e0, e3) = e1
% 185.24/29.80    (5)   ~ (e2 = e0)
% 185.24/29.80    (6)   ~ (e3 = e1)
% 185.24/29.80    (7)  op(e3, e3) = e2
% 185.24/29.80    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.24/29.80         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.24/29.80    (9)  op(e0, e3) = all_52_3
% 185.24/29.80    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.80            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.80    (11)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.24/29.80          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.24/29.80    (12)   ~ (e3 = e2)
% 185.24/29.80    (13)  all_56_10 = e1
% 185.24/29.80    (14)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.24/29.80          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.24/29.80    (15)   ~ (e2 = e1)
% 185.24/29.80    (16)  op(e2, e2) = e0
% 185.24/29.80  
% 185.24/29.80  Begin of proof
% 185.24/29.80  | 
% 185.24/29.80  | BETA: splitting (14) gives:
% 185.24/29.80  | 
% 185.24/29.80  | Case 1:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (17)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 185.24/29.80  | |           e3)
% 185.24/29.80  | | 
% 185.24/29.80  | | REF_CLOSE: (2), (3), (10), (12), (16), (17) are inconsistent by sub-proof
% 185.24/29.80  | |            #478.
% 185.24/29.80  | | 
% 185.24/29.80  | Case 2:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (18)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.24/29.80  | |           e3)
% 185.24/29.80  | | 
% 185.24/29.80  | | BETA: splitting (18) gives:
% 185.24/29.80  | | 
% 185.24/29.80  | | Case 1:
% 185.24/29.80  | | | 
% 185.24/29.80  | | |   (19)  all_56_5 = e3 & op(e2, e1) = e3
% 185.24/29.80  | | | 
% 185.24/29.80  | | | ALPHA: (19) implies:
% 185.24/29.80  | | |   (20)  all_56_5 = e3
% 185.24/29.80  | | | 
% 185.24/29.80  | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 185.24/29.80  | | |            (15), (16), (20) are inconsistent by sub-proof #477.
% 185.24/29.80  | | | 
% 185.24/29.80  | | Case 2:
% 185.24/29.80  | | | 
% 185.24/29.80  | | |   (21)  all_56_10 = e3 & op(e2, e0) = e3
% 185.24/29.80  | | | 
% 185.24/29.80  | | | REF_CLOSE: (6), (13), (21) are inconsistent by sub-proof #1141.
% 185.24/29.80  | | | 
% 185.24/29.80  | | End of split
% 185.24/29.80  | | 
% 185.24/29.80  | End of split
% 185.24/29.80  | 
% 185.24/29.80  End of proof
% 185.24/29.80  
% 185.24/29.80  Sub-proof #477 shows that the following formulas are inconsistent:
% 185.24/29.80  ----------------------------------------------------------------
% 185.24/29.80    (1)  all_56_6 = e0
% 185.24/29.80    (2)   ~ (e3 = e0)
% 185.24/29.80    (3)  op(e0, e3) = e1
% 185.24/29.80    (4)  all_56_5 = e3
% 185.24/29.80    (5)   ~ (e2 = e0)
% 185.24/29.80    (6)   ~ (e3 = e1)
% 185.24/29.80    (7)  op(e3, e3) = e2
% 185.24/29.80    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.24/29.80         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.24/29.80    (9)  op(e0, e3) = all_52_3
% 185.24/29.80    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.80            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.80    (11)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.24/29.80          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.24/29.80    (12)   ~ (e3 = e2)
% 185.24/29.80    (13)  all_56_10 = e1
% 185.24/29.80    (14)   ~ (e2 = e1)
% 185.24/29.80    (15)  op(e2, e2) = e0
% 185.24/29.80  
% 185.24/29.80  Begin of proof
% 185.24/29.80  | 
% 185.24/29.80  | BETA: splitting (8) gives:
% 185.24/29.80  | 
% 185.24/29.80  | Case 1:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (16)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 185.24/29.80  | |           e3)
% 185.24/29.80  | | 
% 185.24/29.80  | | BETA: splitting (16) gives:
% 185.24/29.80  | | 
% 185.24/29.80  | | Case 1:
% 185.24/29.80  | | | 
% 185.24/29.80  | | |   (17)  all_56_0 = e3 & op(e3, e3) = e3
% 185.24/29.80  | | | 
% 185.24/29.80  | | | ALPHA: (17) implies:
% 185.24/29.80  | | |   (18)  op(e3, e3) = e3
% 185.24/29.80  | | | 
% 185.24/29.80  | | | REF_CLOSE: (7), (10), (12), (18) are inconsistent by sub-proof #1594.
% 185.24/29.80  | | | 
% 185.24/29.80  | | Case 2:
% 185.24/29.80  | | | 
% 185.24/29.80  | | |   (19)  all_56_2 = e3 & op(e2, e3) = e3
% 185.24/29.80  | | | 
% 185.24/29.80  | | | ALPHA: (19) implies:
% 185.24/29.80  | | |   (20)  all_56_2 = e3
% 185.24/29.80  | | | 
% 185.24/29.80  | | | REF_CLOSE: (4), (5), (10), (11), (12), (13), (14), (15), (20) are
% 185.24/29.80  | | |            inconsistent by sub-proof #587.
% 185.24/29.80  | | | 
% 185.24/29.80  | | End of split
% 185.24/29.80  | | 
% 185.24/29.80  | Case 2:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (21)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 185.24/29.80  | |           e3)
% 185.24/29.80  | | 
% 185.24/29.80  | | REF_CLOSE: (1), (2), (3), (6), (9), (10), (21) are inconsistent by sub-proof
% 185.24/29.80  | |            #1528.
% 185.24/29.80  | | 
% 185.24/29.80  | End of split
% 185.24/29.80  | 
% 185.24/29.80  End of proof
% 185.24/29.80  
% 185.24/29.80  Sub-proof #478 shows that the following formulas are inconsistent:
% 185.24/29.80  ----------------------------------------------------------------
% 185.24/29.80    (1)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 185.24/29.80    (2)  all_56_2 = e2
% 185.24/29.80    (3)   ~ (e3 = e0)
% 185.24/29.80    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.80    (5)   ~ (e3 = e2)
% 185.24/29.80    (6)  op(e2, e2) = e0
% 185.24/29.80  
% 185.24/29.80  Begin of proof
% 185.24/29.80  | 
% 185.24/29.80  | BETA: splitting (1) gives:
% 185.24/29.80  | 
% 185.24/29.80  | Case 1:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (7)  all_56_2 = e3 & op(e2, e3) = e3
% 185.24/29.80  | | 
% 185.24/29.80  | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #1333.
% 185.24/29.80  | | 
% 185.24/29.80  | Case 2:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (8)  all_56_3 = e3 & op(e2, e2) = e3
% 185.24/29.80  | | 
% 185.24/29.80  | | ALPHA: (8) implies:
% 185.24/29.80  | |   (9)  op(e2, e2) = e3
% 185.24/29.80  | | 
% 185.24/29.80  | | REF_CLOSE: (3), (4), (6), (9) are inconsistent by sub-proof #1015.
% 185.24/29.80  | | 
% 185.24/29.80  | End of split
% 185.24/29.80  | 
% 185.24/29.80  End of proof
% 185.24/29.80  
% 185.24/29.80  Sub-proof #479 shows that the following formulas are inconsistent:
% 185.24/29.80  ----------------------------------------------------------------
% 185.24/29.80    (1)   ~ (all_4_2 = e0)
% 185.24/29.80    (2)   ~ (e1 = e0)
% 185.24/29.80    (3)  all_56_2 = e2
% 185.24/29.80    (4)   ~ (e3 = e0)
% 185.24/29.80    (5)   ~ (e2 = e0)
% 185.24/29.80    (6)   ~ (e3 = e1)
% 185.24/29.80    (7)  op(e3, e3) = e2
% 185.24/29.80    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.24/29.80         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.24/29.80    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.80    (10)   ~ (e3 = e2)
% 185.24/29.80    (11)  op(e3, e3) = all_4_2
% 185.24/29.80    (12)  all_56_6 = e1
% 185.24/29.80    (13)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.24/29.80          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.24/29.80  
% 185.24/29.80  Begin of proof
% 185.24/29.80  | 
% 185.24/29.80  | BETA: splitting (13) gives:
% 185.24/29.80  | 
% 185.24/29.80  | Case 1:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 185.24/29.80  | |           e0)
% 185.24/29.80  | | 
% 185.24/29.80  | | REF_CLOSE: (1), (3), (5), (9), (11), (14) are inconsistent by sub-proof
% 185.24/29.80  | |            #1226.
% 185.24/29.80  | | 
% 185.24/29.80  | Case 2:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 185.24/29.80  | |           e0)
% 185.24/29.80  | | 
% 185.24/29.80  | | BETA: splitting (15) gives:
% 185.24/29.80  | | 
% 185.24/29.80  | | Case 1:
% 185.24/29.80  | | | 
% 185.24/29.80  | | |   (16)  all_56_6 = e0 & op(e1, e3) = e0
% 185.24/29.80  | | | 
% 185.24/29.80  | | | REF_CLOSE: (2), (12), (16) are inconsistent by sub-proof #1092.
% 185.24/29.80  | | | 
% 185.24/29.80  | | Case 2:
% 185.24/29.80  | | | 
% 185.24/29.80  | | |   (17)  all_56_12 = e0 & op(e0, e3) = e0
% 185.24/29.80  | | | 
% 185.24/29.80  | | | ALPHA: (17) implies:
% 185.24/29.80  | | |   (18)  all_56_12 = e0
% 185.24/29.80  | | | 
% 185.24/29.80  | | | REF_CLOSE: (3), (4), (6), (7), (8), (9), (10), (12), (18) are inconsistent
% 185.24/29.80  | | |            by sub-proof #480.
% 185.24/29.80  | | | 
% 185.24/29.80  | | End of split
% 185.24/29.80  | | 
% 185.24/29.80  | End of split
% 185.24/29.80  | 
% 185.24/29.80  End of proof
% 185.24/29.80  
% 185.24/29.80  Sub-proof #480 shows that the following formulas are inconsistent:
% 185.24/29.80  ----------------------------------------------------------------
% 185.24/29.80    (1)  all_56_2 = e2
% 185.24/29.80    (2)   ~ (e3 = e0)
% 185.24/29.80    (3)   ~ (e3 = e1)
% 185.24/29.80    (4)  op(e3, e3) = e2
% 185.24/29.80    (5)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.24/29.80         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.24/29.80    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.80    (7)  all_56_12 = e0
% 185.24/29.80    (8)   ~ (e3 = e2)
% 185.24/29.80    (9)  all_56_6 = e1
% 185.24/29.80  
% 185.24/29.80  Begin of proof
% 185.24/29.80  | 
% 185.24/29.80  | BETA: splitting (5) gives:
% 185.24/29.80  | 
% 185.24/29.80  | Case 1:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 185.24/29.80  | |           e3)
% 185.24/29.80  | | 
% 185.24/29.80  | | BETA: splitting (10) gives:
% 185.24/29.80  | | 
% 185.24/29.80  | | Case 1:
% 185.24/29.80  | | | 
% 185.24/29.80  | | |   (11)  all_56_0 = e3 & op(e3, e3) = e3
% 185.24/29.80  | | | 
% 185.24/29.80  | | | ALPHA: (11) implies:
% 185.24/29.80  | | |   (12)  op(e3, e3) = e3
% 185.24/29.80  | | | 
% 185.24/29.80  | | | REF_CLOSE: (4), (6), (8), (12) are inconsistent by sub-proof #1594.
% 185.24/29.80  | | | 
% 185.24/29.80  | | Case 2:
% 185.24/29.80  | | | 
% 185.24/29.80  | | |   (13)  all_56_2 = e3 & op(e2, e3) = e3
% 185.24/29.80  | | | 
% 185.24/29.80  | | | REF_CLOSE: (1), (8), (13) are inconsistent by sub-proof #1333.
% 185.24/29.80  | | | 
% 185.24/29.80  | | End of split
% 185.24/29.80  | | 
% 185.24/29.80  | Case 2:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (14)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 185.24/29.80  | |           e3)
% 185.24/29.80  | | 
% 185.24/29.80  | | BETA: splitting (14) gives:
% 185.24/29.80  | | 
% 185.24/29.80  | | Case 1:
% 185.24/29.80  | | | 
% 185.24/29.80  | | |   (15)  all_56_6 = e3 & op(e1, e3) = e3
% 185.24/29.80  | | | 
% 185.24/29.80  | | | ALPHA: (15) implies:
% 185.24/29.80  | | |   (16)  all_56_6 = e3
% 185.24/29.80  | | | 
% 185.24/29.80  | | | COMBINE_EQS: (9), (16) imply:
% 185.24/29.80  | | |   (17)  e3 = e1
% 185.24/29.80  | | | 
% 185.24/29.80  | | | REDUCE: (3), (17) imply:
% 185.24/29.80  | | |   (18)  $false
% 185.24/29.80  | | | 
% 185.24/29.80  | | | CLOSE: (18) is inconsistent.
% 185.24/29.80  | | | 
% 185.24/29.80  | | Case 2:
% 185.24/29.80  | | | 
% 185.24/29.80  | | |   (19)  all_56_12 = e3 & op(e0, e3) = e3
% 185.24/29.80  | | | 
% 185.24/29.80  | | | REF_CLOSE: (2), (7), (19) are inconsistent by sub-proof #1533.
% 185.24/29.80  | | | 
% 185.24/29.80  | | End of split
% 185.24/29.80  | | 
% 185.24/29.80  | End of split
% 185.24/29.80  | 
% 185.24/29.80  End of proof
% 185.24/29.80  
% 185.24/29.80  Sub-proof #481 shows that the following formulas are inconsistent:
% 185.24/29.80  ----------------------------------------------------------------
% 185.24/29.80    (1)  all_56_2 = e2
% 185.24/29.80    (2)  op(e3, e3) = e2
% 185.24/29.80    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.80    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 185.24/29.80    (5)   ~ (e2 = e1)
% 185.24/29.80  
% 185.24/29.80  Begin of proof
% 185.24/29.80  | 
% 185.24/29.80  | BETA: splitting (4) gives:
% 185.24/29.80  | 
% 185.24/29.80  | Case 1:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (6)  all_56_0 = e1 & op(e3, e3) = e1
% 185.24/29.80  | | 
% 185.24/29.80  | | ALPHA: (6) implies:
% 185.24/29.80  | |   (7)  op(e3, e3) = e1
% 185.24/29.80  | | 
% 185.24/29.80  | | REF_CLOSE: (2), (3), (5), (7) are inconsistent by sub-proof #1582.
% 185.24/29.80  | | 
% 185.24/29.80  | Case 2:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (8)  all_56_2 = e1 & op(e2, e3) = e1
% 185.24/29.80  | | 
% 185.24/29.80  | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #1416.
% 185.24/29.80  | | 
% 185.24/29.80  | End of split
% 185.24/29.80  | 
% 185.24/29.80  End of proof
% 185.24/29.80  
% 185.24/29.80  Sub-proof #482 shows that the following formulas are inconsistent:
% 185.24/29.80  ----------------------------------------------------------------
% 185.24/29.80    (1)  op(e0, e0) = all_6_2
% 185.24/29.80    (2)   ~ (all_4_2 = e0)
% 185.24/29.80    (3)   ~ (all_6_2 = e1)
% 185.24/29.80    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.24/29.80         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.24/29.80    (5)   ~ (e1 = e0)
% 185.24/29.80    (6)   ~ (all_52_9 = e0)
% 185.24/29.80    (7)  all_56_2 = e2
% 185.24/29.80    (8)   ~ (e3 = e0)
% 185.24/29.80    (9)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.24/29.80         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.24/29.80    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.24/29.80          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.24/29.80    (11)  op(e2, e1) = e1
% 185.24/29.80    (12)  op(e2, e1) = all_52_9
% 185.24/29.80    (13)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.24/29.80          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.24/29.80    (14)   ~ (all_52_6 = e0)
% 185.24/29.80    (15)   ~ (e2 = e0)
% 185.24/29.80    (16)   ~ (e3 = e1)
% 185.24/29.80    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.80            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.80    (18)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.24/29.80          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.24/29.80    (19)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.24/29.80          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.24/29.80    (20)  all_56_3 = e0
% 185.24/29.80    (21)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.24/29.80          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.24/29.80    (22)   ~ (e3 = e2)
% 185.24/29.80    (23)  op(e3, e1) = all_52_8
% 185.24/29.80    (24)  op(e3, e3) = all_4_2
% 185.24/29.80    (25)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.24/29.80          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.24/29.80    (26)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.24/29.80          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.24/29.80    (27)  op(e3, e2) = all_52_4
% 185.24/29.80    (28)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.24/29.80          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.24/29.80    (29)  op(e1, e2) = all_52_6
% 185.24/29.80    (30)   ~ (all_52_4 = e0)
% 185.24/29.80    (31)   ~ (e2 = e1)
% 185.24/29.80    (32)  op(e2, e2) = e0
% 185.24/29.80    (33)  op(e1, e1) = e1
% 185.24/29.80  
% 185.24/29.80  Begin of proof
% 185.24/29.80  | 
% 185.24/29.80  | BETA: splitting (25) gives:
% 185.24/29.80  | 
% 185.24/29.80  | Case 1:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (34)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 185.24/29.80  | |           e2)
% 185.24/29.80  | | 
% 185.24/29.80  | | BETA: splitting (34) gives:
% 185.24/29.80  | | 
% 185.24/29.80  | | Case 1:
% 185.24/29.80  | | | 
% 185.24/29.80  | | |   (35)  all_56_4 = e2 & op(e3, e1) = e2
% 185.24/29.80  | | | 
% 185.24/29.80  | | | ALPHA: (35) implies:
% 185.24/29.80  | | |   (36)  all_56_4 = e2
% 185.24/29.80  | | | 
% 185.24/29.80  | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (10), (11), (13), (14),
% 185.24/29.80  | | |            (15), (16), (17), (19), (20), (21), (22), (24), (26), (27),
% 185.24/29.80  | | |            (28), (29), (30), (31), (32), (33), (36) are inconsistent by
% 185.24/29.80  | | |            sub-proof #483.
% 185.24/29.80  | | | 
% 185.24/29.80  | | Case 2:
% 185.24/29.80  | | | 
% 185.24/29.80  | | |   (37)  all_56_5 = e2 & op(e2, e1) = e2
% 185.24/29.80  | | | 
% 185.24/29.80  | | | ALPHA: (37) implies:
% 185.24/29.80  | | |   (38)  op(e2, e1) = e2
% 185.24/29.80  | | | 
% 185.24/29.80  | | | REF_CLOSE: (11), (17), (31), (38) are inconsistent by sub-proof #1148.
% 185.24/29.80  | | | 
% 185.24/29.80  | | End of split
% 185.24/29.80  | | 
% 185.24/29.80  | Case 2:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (39)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 185.24/29.80  | |           e2)
% 185.24/29.80  | | 
% 185.24/29.80  | | BETA: splitting (39) gives:
% 185.24/29.80  | | 
% 185.24/29.80  | | Case 1:
% 185.24/29.80  | | | 
% 185.24/29.80  | | |   (40)  all_56_8 = e2 & op(e1, e1) = e2
% 185.24/29.80  | | | 
% 185.24/29.80  | | | ALPHA: (40) implies:
% 185.24/29.80  | | |   (41)  op(e1, e1) = e2
% 185.24/29.80  | | | 
% 185.24/29.80  | | | REF_CLOSE: (17), (31), (33), (41) are inconsistent by sub-proof #1473.
% 185.24/29.80  | | | 
% 185.24/29.80  | | Case 2:
% 185.24/29.80  | | | 
% 185.24/29.80  | | |   (42)  all_56_14 = e2 & op(e0, e1) = e2
% 185.24/29.80  | | | 
% 185.24/29.80  | | | ALPHA: (42) implies:
% 185.24/29.80  | | |   (43)  all_56_14 = e2
% 185.24/29.80  | | | 
% 185.24/29.80  | | | BETA: splitting (4) gives:
% 185.24/29.80  | | | 
% 185.24/29.80  | | | Case 1:
% 185.24/29.80  | | | | 
% 185.24/29.80  | | | |   (44)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1)
% 185.24/29.80  | | | |           = e3)
% 185.24/29.80  | | | | 
% 185.24/29.80  | | | | BETA: splitting (44) gives:
% 185.24/29.80  | | | | 
% 185.24/29.80  | | | | Case 1:
% 185.24/29.80  | | | | | 
% 185.24/29.80  | | | | |   (45)  all_56_4 = e3 & op(e3, e1) = e3
% 185.24/29.80  | | | | | 
% 185.24/29.80  | | | | | ALPHA: (45) implies:
% 185.24/29.80  | | | | |   (46)  op(e3, e1) = e3
% 185.24/29.80  | | | | | 
% 185.24/29.80  | | | | | BETA: splitting (18) gives:
% 185.24/29.80  | | | | | 
% 185.24/29.80  | | | | | Case 1:
% 185.24/29.80  | | | | | | 
% 185.24/29.80  | | | | | |   (47)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2,
% 185.24/29.80  | | | | | |             e1) = e0)
% 185.24/29.80  | | | | | | 
% 185.24/29.80  | | | | | | REF_CLOSE: (6), (8), (12), (17), (23), (46), (47) are inconsistent
% 185.24/29.80  | | | | | |            by sub-proof #917.
% 185.24/29.80  | | | | | | 
% 185.24/29.80  | | | | | Case 2:
% 185.24/29.80  | | | | | | 
% 185.24/29.80  | | | | | |   (48)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0,
% 185.24/29.80  | | | | | |             e1) = e0)
% 185.24/29.80  | | | | | | 
% 185.24/29.80  | | | | | | BETA: splitting (48) gives:
% 185.24/29.80  | | | | | | 
% 185.24/29.80  | | | | | | Case 1:
% 185.24/29.80  | | | | | | | 
% 185.24/29.80  | | | | | | |   (49)  all_56_8 = e0 & op(e1, e1) = e0
% 185.24/29.80  | | | | | | | 
% 185.24/29.80  | | | | | | | ALPHA: (49) implies:
% 185.24/29.80  | | | | | | |   (50)  op(e1, e1) = e0
% 185.24/29.80  | | | | | | | 
% 185.24/29.80  | | | | | | | REF_CLOSE: (5), (17), (33), (50) are inconsistent by sub-proof
% 185.24/29.80  | | | | | | |            #1619.
% 185.24/29.80  | | | | | | | 
% 185.24/29.80  | | | | | | Case 2:
% 185.24/29.80  | | | | | | | 
% 185.24/29.80  | | | | | | |   (51)  all_56_14 = e0 & op(e0, e1) = e0
% 185.24/29.80  | | | | | | | 
% 185.24/29.80  | | | | | | | ALPHA: (51) implies:
% 185.24/29.80  | | | | | | |   (52)  all_56_14 = e0
% 185.24/29.80  | | | | | | | 
% 185.24/29.80  | | | | | | | COMBINE_EQS: (43), (52) imply:
% 185.24/29.80  | | | | | | |   (53)  e2 = e0
% 185.24/29.80  | | | | | | | 
% 185.24/29.80  | | | | | | | SIMP: (53) implies:
% 185.24/29.80  | | | | | | |   (54)  e2 = e0
% 185.24/29.80  | | | | | | | 
% 185.24/29.80  | | | | | | | COMBINE_EQS: (7), (54) imply:
% 185.24/29.80  | | | | | | |   (55)  all_56_2 = e0
% 185.24/29.80  | | | | | | | 
% 185.24/29.80  | | | | | | | REF_CLOSE: (8), (11), (15), (16), (17), (19), (22), (26), (31),
% 185.24/29.80  | | | | | | |            (32), (55) are inconsistent by sub-proof #603.
% 185.24/29.80  | | | | | | | 
% 185.24/29.80  | | | | | | End of split
% 185.24/29.80  | | | | | | 
% 185.24/29.80  | | | | | End of split
% 185.24/29.80  | | | | | 
% 185.24/29.80  | | | | Case 2:
% 185.24/29.80  | | | | | 
% 185.24/29.80  | | | | |   (56)  all_56_5 = e3 & op(e2, e1) = e3
% 185.24/29.80  | | | | | 
% 185.24/29.80  | | | | | ALPHA: (56) implies:
% 185.24/29.80  | | | | |   (57)  op(e2, e1) = e3
% 185.24/29.80  | | | | | 
% 185.24/29.80  | | | | | REF_CLOSE: (11), (16), (17), (57) are inconsistent by sub-proof #1456.
% 185.24/29.80  | | | | | 
% 185.24/29.80  | | | | End of split
% 185.24/29.80  | | | | 
% 185.24/29.80  | | | Case 2:
% 185.24/29.80  | | | | 
% 185.24/29.80  | | | |   (58)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1)
% 185.24/29.80  | | | |           = e3)
% 185.24/29.80  | | | | 
% 185.24/29.80  | | | | REF_CLOSE: (16), (17), (22), (33), (43), (58) are inconsistent by
% 185.24/29.80  | | | |            sub-proof #579.
% 185.24/29.80  | | | | 
% 185.24/29.80  | | | End of split
% 185.24/29.80  | | | 
% 185.24/29.80  | | End of split
% 185.24/29.80  | | 
% 185.24/29.80  | End of split
% 185.24/29.80  | 
% 185.24/29.80  End of proof
% 185.24/29.80  
% 185.24/29.80  Sub-proof #483 shows that the following formulas are inconsistent:
% 185.24/29.80  ----------------------------------------------------------------
% 185.24/29.80    (1)  op(e0, e0) = all_6_2
% 185.24/29.80    (2)   ~ (all_4_2 = e0)
% 185.24/29.80    (3)   ~ (all_6_2 = e1)
% 185.24/29.80    (4)   ~ (e1 = e0)
% 185.24/29.80    (5)  all_56_4 = e2
% 185.24/29.80    (6)  all_56_2 = e2
% 185.24/29.80    (7)   ~ (e3 = e0)
% 185.24/29.80    (8)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.24/29.80         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.24/29.80    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.24/29.80         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.24/29.80    (10)  op(e2, e1) = e1
% 185.24/29.80    (11)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.24/29.80          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.24/29.80    (12)   ~ (all_52_6 = e0)
% 185.24/29.80    (13)   ~ (e2 = e0)
% 185.24/29.80    (14)   ~ (e3 = e1)
% 185.24/29.80    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.80            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.80    (16)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.24/29.80          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.24/29.80    (17)  all_56_3 = e0
% 185.24/29.80    (18)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.24/29.80          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.24/29.80    (19)   ~ (e3 = e2)
% 185.24/29.80    (20)  op(e3, e3) = all_4_2
% 185.24/29.80    (21)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.24/29.80          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.24/29.80    (22)  op(e3, e2) = all_52_4
% 185.24/29.80    (23)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.24/29.80          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.24/29.80    (24)  op(e1, e2) = all_52_6
% 185.24/29.80    (25)   ~ (all_52_4 = e0)
% 185.24/29.80    (26)   ~ (e2 = e1)
% 185.24/29.80    (27)  op(e2, e2) = e0
% 185.24/29.80    (28)  op(e1, e1) = e1
% 185.24/29.80  
% 185.24/29.80  Begin of proof
% 185.24/29.80  | 
% 185.24/29.80  | BETA: splitting (9) gives:
% 185.24/29.80  | 
% 185.24/29.80  | Case 1:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (29)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 185.24/29.80  | |           e0)
% 185.24/29.80  | | 
% 185.24/29.80  | | REF_CLOSE: (2), (15), (20), (22), (25), (29) are inconsistent by sub-proof
% 185.24/29.80  | |            #1060.
% 185.24/29.80  | | 
% 185.24/29.80  | Case 2:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (30)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 185.24/29.80  | |           e0)
% 185.24/29.80  | | 
% 185.24/29.80  | | BETA: splitting (30) gives:
% 185.24/29.80  | | 
% 185.24/29.80  | | Case 1:
% 185.24/29.80  | | | 
% 185.24/29.80  | | |   (31)  all_56_4 = e0 & op(e3, e1) = e0
% 185.24/29.80  | | | 
% 185.24/29.80  | | | ALPHA: (31) implies:
% 185.24/29.80  | | |   (32)  all_56_4 = e0
% 185.24/29.80  | | | 
% 185.24/29.80  | | | COMBINE_EQS: (5), (32) imply:
% 185.24/29.80  | | |   (33)  e2 = e0
% 185.24/29.80  | | | 
% 185.24/29.80  | | | COMBINE_EQS: (6), (33) imply:
% 185.24/29.80  | | |   (34)  all_56_2 = e0
% 185.24/29.80  | | | 
% 185.24/29.80  | | | REF_CLOSE: (7), (10), (13), (14), (15), (16), (19), (21), (26), (27), (34)
% 185.24/29.80  | | |            are inconsistent by sub-proof #603.
% 185.24/29.80  | | | 
% 185.24/29.80  | | Case 2:
% 185.24/29.80  | | | 
% 185.24/29.80  | | |   (35)  all_56_9 = e0 & op(e3, e0) = e0
% 185.24/29.80  | | | 
% 185.24/29.80  | | | ALPHA: (35) implies:
% 185.24/29.80  | | |   (36)  all_56_9 = e0
% 185.24/29.80  | | | 
% 185.24/29.80  | | | REF_CLOSE: (1), (3), (4), (7), (8), (10), (11), (12), (13), (14), (15),
% 185.24/29.80  | | |            (16), (17), (18), (19), (21), (23), (24), (26), (27), (28),
% 185.24/29.80  | | |            (36) are inconsistent by sub-proof #484.
% 185.24/29.80  | | | 
% 185.24/29.80  | | End of split
% 185.24/29.80  | | 
% 185.24/29.80  | End of split
% 185.24/29.80  | 
% 185.24/29.80  End of proof
% 185.24/29.80  
% 185.24/29.80  Sub-proof #484 shows that the following formulas are inconsistent:
% 185.24/29.80  ----------------------------------------------------------------
% 185.24/29.80    (1)  op(e0, e0) = all_6_2
% 185.24/29.80    (2)   ~ (all_6_2 = e1)
% 185.24/29.80    (3)   ~ (e1 = e0)
% 185.24/29.80    (4)   ~ (e3 = e0)
% 185.24/29.80    (5)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.24/29.80         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.24/29.80    (6)  op(e2, e1) = e1
% 185.24/29.80    (7)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.24/29.80         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.24/29.80    (8)   ~ (all_52_6 = e0)
% 185.24/29.80    (9)   ~ (e2 = e0)
% 185.24/29.80    (10)   ~ (e3 = e1)
% 185.24/29.80    (11)  all_56_9 = e0
% 185.24/29.80    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.80            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.80    (13)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.24/29.80          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.24/29.80    (14)  all_56_3 = e0
% 185.24/29.80    (15)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.24/29.80          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.24/29.80    (16)   ~ (e3 = e2)
% 185.24/29.80    (17)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.24/29.80          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.24/29.80    (18)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.24/29.80          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.24/29.80    (19)  op(e1, e2) = all_52_6
% 185.24/29.80    (20)   ~ (e2 = e1)
% 185.24/29.80    (21)  op(e2, e2) = e0
% 185.24/29.80    (22)  op(e1, e1) = e1
% 185.24/29.80  
% 185.24/29.80  Begin of proof
% 185.24/29.80  | 
% 185.24/29.80  | BETA: splitting (5) gives:
% 185.24/29.80  | 
% 185.24/29.80  | Case 1:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (23)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 185.24/29.80  | |           e1)
% 185.24/29.80  | | 
% 185.24/29.80  | | BETA: splitting (23) gives:
% 185.24/29.80  | | 
% 185.24/29.80  | | Case 1:
% 185.24/29.80  | | | 
% 185.24/29.80  | | |   (24)  all_56_9 = e1 & op(e3, e0) = e1
% 185.24/29.80  | | | 
% 185.24/29.80  | | | ALPHA: (24) implies:
% 185.24/29.80  | | |   (25)  all_56_9 = e1
% 185.24/29.80  | | | 
% 185.24/29.80  | | | REF_CLOSE: (3), (11), (25) are inconsistent by sub-proof #1484.
% 185.24/29.80  | | | 
% 185.24/29.80  | | Case 2:
% 185.24/29.80  | | | 
% 185.24/29.80  | | |   (26)  all_56_10 = e1 & op(e2, e0) = e1
% 185.24/29.80  | | | 
% 185.24/29.80  | | | ALPHA: (26) implies:
% 185.24/29.80  | | |   (27)  all_56_10 = e1
% 185.24/29.80  | | | 
% 185.24/29.80  | | | REF_CLOSE: (4), (6), (9), (10), (12), (13), (14), (16), (17), (20), (21),
% 185.24/29.80  | | |            (27) are inconsistent by sub-proof #786.
% 185.24/29.80  | | | 
% 185.24/29.80  | | End of split
% 185.24/29.80  | | 
% 185.24/29.80  | Case 2:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (28)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.24/29.80  | |           e1)
% 185.24/29.80  | | 
% 185.24/29.80  | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (10), (12), (15), (16), (18),
% 185.24/29.80  | |            (19), (20), (22), (28) are inconsistent by sub-proof #543.
% 185.24/29.80  | | 
% 185.24/29.80  | End of split
% 185.24/29.80  | 
% 185.24/29.80  End of proof
% 185.24/29.80  
% 185.24/29.80  Sub-proof #485 shows that the following formulas are inconsistent:
% 185.24/29.80  ----------------------------------------------------------------
% 185.24/29.80    (1)   ~ (e1 = e0)
% 185.24/29.80    (2)  all_56_2 = e2
% 185.24/29.80    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.80    (4)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 185.24/29.80    (5)   ~ (e2 = e1)
% 185.24/29.80    (6)  op(e2, e2) = e0
% 185.24/29.80  
% 185.24/29.80  Begin of proof
% 185.24/29.80  | 
% 185.24/29.80  | BETA: splitting (4) gives:
% 185.24/29.80  | 
% 185.24/29.80  | Case 1:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (7)  all_56_2 = e1 & op(e2, e3) = e1
% 185.24/29.80  | | 
% 185.24/29.80  | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #1416.
% 185.24/29.80  | | 
% 185.24/29.80  | Case 2:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (8)  all_56_3 = e1 & op(e2, e2) = e1
% 185.24/29.80  | | 
% 185.24/29.80  | | ALPHA: (8) implies:
% 185.24/29.80  | |   (9)  op(e2, e2) = e1
% 185.24/29.80  | | 
% 185.24/29.80  | | REF_CLOSE: (1), (3), (6), (9) are inconsistent by sub-proof #1310.
% 185.24/29.80  | | 
% 185.24/29.80  | End of split
% 185.24/29.80  | 
% 185.24/29.80  End of proof
% 185.24/29.80  
% 185.24/29.80  Sub-proof #486 shows that the following formulas are inconsistent:
% 185.24/29.80  ----------------------------------------------------------------
% 185.24/29.80    (1)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 185.24/29.80    (2)  all_56_2 = e1
% 185.24/29.80    (3)   ~ (e3 = e0)
% 185.24/29.80    (4)   ~ (e3 = e1)
% 185.24/29.80    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.80    (6)  op(e2, e2) = e0
% 185.24/29.80  
% 185.24/29.80  Begin of proof
% 185.24/29.80  | 
% 185.24/29.80  | BETA: splitting (1) gives:
% 185.24/29.80  | 
% 185.24/29.80  | Case 1:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (7)  all_56_2 = e3 & op(e2, e3) = e3
% 185.24/29.80  | | 
% 185.24/29.80  | | ALPHA: (7) implies:
% 185.24/29.80  | |   (8)  all_56_2 = e3
% 185.24/29.80  | | 
% 185.24/29.80  | | REF_CLOSE: (2), (4), (8) are inconsistent by sub-proof #1558.
% 185.24/29.80  | | 
% 185.24/29.80  | Case 2:
% 185.24/29.80  | | 
% 185.24/29.80  | |   (9)  all_56_3 = e3 & op(e2, e2) = e3
% 185.24/29.80  | | 
% 185.24/29.80  | | ALPHA: (9) implies:
% 185.24/29.80  | |   (10)  op(e2, e2) = e3
% 185.24/29.80  | | 
% 185.24/29.80  | | REF_CLOSE: (3), (5), (6), (10) are inconsistent by sub-proof #1015.
% 185.24/29.80  | | 
% 185.24/29.80  | End of split
% 185.24/29.80  | 
% 185.24/29.80  End of proof
% 185.24/29.80  
% 185.24/29.80  Sub-proof #487 shows that the following formulas are inconsistent:
% 185.24/29.80  ----------------------------------------------------------------
% 185.24/29.80    (1)  op(e0, e0) = all_6_2
% 185.24/29.80    (2)   ~ (all_4_2 = e0)
% 185.24/29.80    (3)   ~ (all_6_2 = e1)
% 185.24/29.80    (4)  all_56_2 = e1
% 185.24/29.80    (5)   ~ (e1 = e0)
% 185.24/29.80    (6)   ~ (e3 = e0)
% 185.24/29.80    (7)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.24/29.80         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.24/29.80    (8)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.24/29.80         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.24/29.80    (9)  op(e2, e1) = all_52_9
% 185.24/29.80    (10)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.24/29.80          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.24/29.80    (11)   ~ (all_52_6 = e0)
% 185.24/29.80    (12)   ~ (e2 = e0)
% 185.24/29.80    (13)   ~ (e3 = e1)
% 185.24/29.80    (14)  op(e3, e3) = e2
% 185.24/29.80    (15)   ~ (all_6_2 = e2)
% 185.24/29.80    (16)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.24/29.80          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.24/29.80    (17)  op(e0, e3) = all_52_3
% 185.24/29.80    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.24/29.80            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.24/29.80    (19)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.24/29.80          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.24/29.80    (20)  all_56_6 = e3
% 185.24/29.81    (21)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.24/29.81          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.24/29.81    (22)   ~ (e3 = e2)
% 185.24/29.81    (23)  op(e3, e3) = all_4_2
% 185.24/29.81    (24)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.24/29.81          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.24/29.81    (25)   ~ (all_52_9 = e3)
% 185.24/29.81    (26)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.24/29.81          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.24/29.81    (27)  op(e1, e2) = all_52_6
% 185.24/29.81    (28)   ~ (e2 = e1)
% 185.24/29.81    (29)  op(e2, e2) = e0
% 185.24/29.81    (30)   ~ (all_4_2 = e1)
% 185.24/29.81    (31)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.24/29.81          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.24/29.81    (32)  op(e1, e1) = e1
% 185.24/29.81  
% 185.24/29.81  Begin of proof
% 185.24/29.81  | 
% 185.24/29.81  | BETA: splitting (10) gives:
% 185.24/29.81  | 
% 185.24/29.81  | Case 1:
% 185.24/29.81  | | 
% 185.24/29.81  | |   (33)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 185.24/29.81  | |           e0)
% 185.24/29.81  | | 
% 185.24/29.81  | | BETA: splitting (33) gives:
% 185.24/29.81  | | 
% 185.24/29.81  | | Case 1:
% 185.24/29.81  | | | 
% 185.24/29.81  | | |   (34)  all_56_6 = e0 & op(e1, e3) = e0
% 185.24/29.81  | | | 
% 185.24/29.81  | | | REF_CLOSE: (6), (20), (34) are inconsistent by sub-proof #801.
% 185.24/29.81  | | | 
% 185.24/29.81  | | Case 2:
% 185.24/29.81  | | | 
% 185.24/29.81  | | |   (35)  all_56_7 = e0 & op(e1, e2) = e0
% 185.24/29.81  | | | 
% 185.24/29.81  | | | REF_CLOSE: (11), (18), (27), (35) are inconsistent by sub-proof #1199.
% 185.24/29.81  | | | 
% 185.24/29.81  | | End of split
% 185.24/29.81  | | 
% 185.24/29.81  | Case 2:
% 185.24/29.81  | | 
% 185.24/29.81  | |   (36)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.24/29.81  | |           e0)
% 185.24/29.81  | | 
% 185.24/29.81  | | BETA: splitting (36) gives:
% 185.24/29.81  | | 
% 185.24/29.81  | | Case 1:
% 185.24/29.81  | | | 
% 185.24/29.81  | | |   (37)  all_56_8 = e0 & op(e1, e1) = e0
% 185.24/29.81  | | | 
% 185.24/29.81  | | | ALPHA: (37) implies:
% 185.24/29.81  | | |   (38)  op(e1, e1) = e0
% 185.24/29.81  | | | 
% 185.24/29.81  | | | REF_CLOSE: (5), (18), (32), (38) are inconsistent by sub-proof #1619.
% 185.24/29.81  | | | 
% 185.24/29.81  | | Case 2:
% 185.24/29.81  | | | 
% 185.24/29.81  | | |   (39)  all_56_11 = e0 & op(e1, e0) = e0
% 185.24/29.81  | | | 
% 185.24/29.81  | | | ALPHA: (39) implies:
% 185.24/29.81  | | |   (40)  all_56_11 = e0
% 185.24/29.81  | | | 
% 185.24/29.81  | | | BETA: splitting (24) gives:
% 185.24/29.81  | | | 
% 185.24/29.81  | | | Case 1:
% 185.24/29.81  | | | | 
% 185.24/29.81  | | | |   (41)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2)
% 185.24/29.81  | | | |           = e3)
% 185.24/29.81  | | | | 
% 185.24/29.81  | | | | BETA: splitting (41) gives:
% 185.24/29.81  | | | | 
% 185.24/29.81  | | | | Case 1:
% 185.24/29.81  | | | | | 
% 185.24/29.81  | | | | |   (42)  all_56_2 = e3 & op(e2, e3) = e3
% 185.24/29.81  | | | | | 
% 185.24/29.81  | | | | | ALPHA: (42) implies:
% 185.24/29.81  | | | | |   (43)  all_56_2 = e3
% 185.24/29.81  | | | | | 
% 185.24/29.81  | | | | | COMBINE_EQS: (4), (43) imply:
% 185.24/29.81  | | | | |   (44)  e3 = e1
% 185.24/29.81  | | | | | 
% 185.24/29.81  | | | | | SIMP: (44) implies:
% 185.24/29.81  | | | | |   (45)  e3 = e1
% 185.24/29.81  | | | | | 
% 185.24/29.81  | | | | | REF_CLOSE: (2), (4), (5), (6), (8), (13), (14), (16), (17), (18),
% 185.24/29.81  | | | | |            (20), (22), (23), (30), (31), (45) are inconsistent by
% 185.24/29.81  | | | | |            sub-proof #1518.
% 185.24/29.81  | | | | | 
% 185.24/29.81  | | | | Case 2:
% 185.24/29.81  | | | | | 
% 185.24/29.81  | | | | |   (46)  all_56_3 = e3 & op(e2, e2) = e3
% 185.24/29.81  | | | | | 
% 185.24/29.81  | | | | | ALPHA: (46) implies:
% 185.24/29.81  | | | | |   (47)  op(e2, e2) = e3
% 185.24/29.81  | | | | | 
% 185.24/29.81  | | | | | REF_CLOSE: (6), (18), (29), (47) are inconsistent by sub-proof #1015.
% 185.24/29.81  | | | | | 
% 185.24/29.81  | | | | End of split
% 185.24/29.81  | | | | 
% 185.24/29.81  | | | Case 2:
% 185.24/29.81  | | | | 
% 185.24/29.81  | | | |   (48)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0)
% 185.24/29.81  | | | |           = e3)
% 185.24/29.81  | | | | 
% 185.24/29.81  | | | | BETA: splitting (48) gives:
% 185.24/29.81  | | | | 
% 185.24/29.81  | | | | Case 1:
% 185.38/29.81  | | | | | 
% 185.38/29.81  | | | | |   (49)  all_56_5 = e3 & op(e2, e1) = e3
% 185.38/29.81  | | | | | 
% 185.38/29.81  | | | | | ALPHA: (49) implies:
% 185.38/29.81  | | | | |   (50)  op(e2, e1) = e3
% 185.38/29.81  | | | | | 
% 185.38/29.81  | | | | | REF_CLOSE: (9), (18), (25), (50) are inconsistent by sub-proof #1449.
% 185.38/29.81  | | | | | 
% 185.38/29.81  | | | | Case 2:
% 185.38/29.81  | | | | | 
% 185.38/29.81  | | | | |   (51)  all_56_10 = e3 & op(e2, e0) = e3
% 185.38/29.81  | | | | | 
% 185.38/29.81  | | | | | ALPHA: (51) implies:
% 185.38/29.81  | | | | |   (52)  all_56_10 = e3
% 185.38/29.81  | | | | | 
% 185.38/29.81  | | | | | BETA: splitting (7) gives:
% 185.38/29.81  | | | | | 
% 185.38/29.81  | | | | | Case 1:
% 185.38/29.81  | | | | | | 
% 185.38/29.81  | | | | | |   (53)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2,
% 185.38/29.81  | | | | | |             e0) = e1)
% 185.38/29.81  | | | | | | 
% 185.38/29.81  | | | | | | BETA: splitting (53) gives:
% 185.38/29.81  | | | | | | 
% 185.38/29.81  | | | | | | Case 1:
% 185.38/29.81  | | | | | | | 
% 185.38/29.81  | | | | | | |   (54)  all_56_9 = e1 & op(e3, e0) = e1
% 185.38/29.81  | | | | | | | 
% 185.38/29.81  | | | | | | | ALPHA: (54) implies:
% 185.38/29.81  | | | | | | |   (55)  all_56_9 = e1
% 185.38/29.81  | | | | | | | 
% 185.38/29.81  | | | | | | | REF_CLOSE: (1), (12), (15), (18), (21), (22), (28), (40), (52),
% 185.38/29.81  | | | | | | |            (55) are inconsistent by sub-proof #1498.
% 185.38/29.81  | | | | | | | 
% 185.38/29.81  | | | | | | Case 2:
% 185.38/29.81  | | | | | | | 
% 185.38/29.81  | | | | | | |   (56)  all_56_10 = e1 & op(e2, e0) = e1
% 185.38/29.81  | | | | | | | 
% 185.38/29.81  | | | | | | | ALPHA: (56) implies:
% 185.38/29.81  | | | | | | |   (57)  all_56_10 = e1
% 185.38/29.81  | | | | | | | 
% 185.38/29.81  | | | | | | | COMBINE_EQS: (52), (57) imply:
% 185.38/29.81  | | | | | | |   (58)  e3 = e1
% 185.38/29.81  | | | | | | | 
% 185.38/29.81  | | | | | | | REF_CLOSE: (2), (4), (5), (6), (8), (13), (14), (16), (17), (18),
% 185.38/29.81  | | | | | | |            (20), (22), (23), (30), (31), (58) are inconsistent by
% 185.38/29.81  | | | | | | |            sub-proof #1518.
% 185.38/29.81  | | | | | | | 
% 185.38/29.81  | | | | | | End of split
% 185.38/29.81  | | | | | | 
% 185.38/29.81  | | | | | Case 2:
% 185.38/29.81  | | | | | | 
% 185.38/29.81  | | | | | |   (59)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 &
% 185.38/29.81  | | | | | |           op(e0, e0) = e1)
% 185.38/29.81  | | | | | | 
% 185.38/29.81  | | | | | | REF_CLOSE: (1), (3), (5), (6), (10), (11), (12), (13), (18), (19),
% 185.38/29.81  | | | | | |            (22), (26), (27), (28), (32), (59) are inconsistent by
% 185.38/29.81  | | | | | |            sub-proof #543.
% 185.38/29.81  | | | | | | 
% 185.38/29.81  | | | | | End of split
% 185.38/29.81  | | | | | 
% 185.38/29.81  | | | | End of split
% 185.38/29.81  | | | | 
% 185.38/29.81  | | | End of split
% 185.38/29.81  | | | 
% 185.38/29.81  | | End of split
% 185.38/29.81  | | 
% 185.38/29.81  | End of split
% 185.38/29.81  | 
% 185.38/29.81  End of proof
% 185.38/29.81  
% 185.38/29.81  Sub-proof #488 shows that the following formulas are inconsistent:
% 185.38/29.81  ----------------------------------------------------------------
% 185.38/29.81    (1)  op(e0, e0) = all_6_2
% 185.38/29.81    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.38/29.81         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.38/29.81    (3)   ~ (all_4_2 = e0)
% 185.38/29.81    (4)   ~ (all_6_2 = e1)
% 185.38/29.81    (5)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.81         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.81    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.81         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.81    (7)  all_56_0 = e3
% 185.38/29.81    (8)   ~ (e1 = e0)
% 185.38/29.81    (9)   ~ (all_52_9 = e0)
% 185.38/29.81    (10)  all_56_4 = e2
% 185.38/29.81    (11)  op(e0, e0) = e0
% 185.38/29.81    (12)   ~ (e3 = e0)
% 185.38/29.81    (13)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.38/29.81          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.81    (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.38/29.81          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.81    (15)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.81          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.81    (16)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.38/29.81          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.38/29.81    (17)  op(e2, e1) = all_52_9
% 185.38/29.81    (18)  all_56_5 = e3
% 185.38/29.81    (19)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.81          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.81    (20)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.81          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.38/29.81    (21)  all_56_2 = e0
% 185.38/29.81    (22)   ~ (all_52_6 = e0)
% 185.38/29.81    (23)   ~ (e2 = e0)
% 185.38/29.81    (24)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.38/29.81          | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.81    (25)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) = e0) |
% 185.38/29.81          (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.81    (26)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.81          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.81    (27)   ~ (e3 = e1)
% 185.38/29.81    (28)   ~ (all_52_4 = all_52_7)
% 185.38/29.81    (29)   ~ (all_6_2 = e2)
% 185.38/29.81    (30)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.38/29.81          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.38/29.81    (31)  all_56_9 = e0
% 185.38/29.81    (32)   ~ (all_52_7 = e0)
% 185.38/29.81    (33)  op(e0, e3) = all_52_3
% 185.38/29.81    (34)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.81            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.81    (35)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.38/29.81          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.81    (36)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.38/29.81          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.38/29.81    (37)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.81          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.81    (38)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.81          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.81    (39)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.38/29.81          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.38/29.81    (40)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.81          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.81            e1)
% 185.38/29.81    (41)  op(e2, e0) = all_52_13
% 185.38/29.81    (42)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.38/29.81          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.38/29.81    (43)   ~ (e3 = e2)
% 185.38/29.81    (44)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.38/29.81          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.38/29.81    (45)  op(e3, e3) = all_4_2
% 185.38/29.81    (46)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.81          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.81    (47)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.38/29.81          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.38/29.81    (48)  op(e3, e2) = all_52_4
% 185.38/29.81    (49)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.38/29.81          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.81            e3)
% 185.38/29.81    (50)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.81          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.81    (51)  op(e1, e2) = all_52_6
% 185.38/29.81    (52)  all_56_11 = e0
% 185.38/29.81    (53)   ~ (all_52_4 = e0)
% 185.38/29.81    (54)  op(e3, e3) = e3
% 185.38/29.81    (55)   ~ (all_52_13 = e0)
% 185.38/29.81    (56)   ~ (e2 = e1)
% 185.38/29.81    (57)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.81          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.38/29.81            e2)
% 185.38/29.81    (58)  op(e0, e2) = all_52_7
% 185.38/29.81    (59)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.81              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.38/29.81                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.38/29.81                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.38/29.81    (60)  op(e2, e2) = e0
% 185.38/29.81    (61)   ~ (all_4_2 = e1)
% 185.38/29.81    (62)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.38/29.81          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.38/29.81    (63)  op(e1, e1) = e1
% 185.38/29.81  
% 185.38/29.81  Begin of proof
% 185.38/29.81  | 
% 185.38/29.81  | BETA: splitting (37) gives:
% 185.38/29.81  | 
% 185.38/29.81  | Case 1:
% 185.38/29.81  | | 
% 185.38/29.81  | |   (64)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 185.38/29.81  | |           e2)
% 185.38/29.81  | | 
% 185.38/29.81  | | BETA: splitting (64) gives:
% 185.38/29.81  | | 
% 185.38/29.81  | | Case 1:
% 185.38/29.81  | | | 
% 185.38/29.81  | | |   (65)  all_56_2 = e2 & op(e2, e3) = e2
% 185.38/29.81  | | | 
% 185.38/29.81  | | | ALPHA: (65) implies:
% 185.38/29.81  | | |   (66)  all_56_2 = e2
% 185.38/29.81  | | | 
% 185.38/29.81  | | | COMBINE_EQS: (21), (66) imply:
% 185.38/29.81  | | |   (67)  e2 = e0
% 185.38/29.81  | | | 
% 185.38/29.81  | | | SIMP: (67) implies:
% 185.38/29.81  | | |   (68)  e2 = e0
% 185.38/29.81  | | | 
% 185.38/29.81  | | | COMBINE_EQS: (10), (68) imply:
% 185.38/29.81  | | |   (69)  all_56_4 = e0
% 185.38/29.81  | | | 
% 185.38/29.81  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 185.38/29.81  | | |            (14), (15), (16), (17), (19), (20), (21), (22), (23), (24),
% 185.38/29.81  | | |            (25), (26), (27), (28), (29), (30), (32), (33), (34), (35),
% 185.38/29.81  | | |            (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 185.38/29.81  | | |            (46), (47), (48), (49), (50), (51), (52), (53), (54), (55),
% 185.38/29.81  | | |            (56), (57), (58), (59), (60), (61), (62), (63), (69) are
% 185.38/29.81  | | |            inconsistent by sub-proof #492.
% 185.38/29.81  | | | 
% 185.38/29.81  | | Case 2:
% 185.38/29.81  | | | 
% 185.38/29.81  | | |   (70)  all_56_3 = e2 & op(e2, e2) = e2
% 185.38/29.81  | | | 
% 185.38/29.81  | | | ALPHA: (70) implies:
% 185.38/29.81  | | |   (71)  op(e2, e2) = e2
% 185.38/29.81  | | | 
% 185.38/29.81  | | | REF_CLOSE: (23), (34), (60), (71) are inconsistent by sub-proof #1586.
% 185.38/29.81  | | | 
% 185.38/29.81  | | End of split
% 185.38/29.81  | | 
% 185.38/29.81  | Case 2:
% 185.38/29.81  | | 
% 185.38/29.81  | |   (72)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 185.38/29.81  | |           e2)
% 185.38/29.81  | | 
% 185.38/29.81  | | REF_CLOSE: (1), (4), (8), (12), (13), (18), (19), (22), (23), (27), (31),
% 185.38/29.81  | |            (34), (38), (43), (50), (51), (56), (63), (72) are inconsistent
% 185.38/29.81  | |            by sub-proof #503.
% 185.38/29.81  | | 
% 185.38/29.81  | End of split
% 185.38/29.81  | 
% 185.38/29.81  End of proof
% 185.38/29.81  
% 185.38/29.81  Sub-proof #489 shows that the following formulas are inconsistent:
% 185.38/29.81  ----------------------------------------------------------------
% 185.38/29.81    (1)  op(e0, e0) = all_6_2
% 185.38/29.81    (2)   ~ (all_4_2 = e0)
% 185.38/29.81    (3)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 185.38/29.81    (4)   ~ (all_6_2 = e1)
% 185.38/29.81    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.81         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.81    (6)  all_56_0 = e3
% 185.38/29.81    (7)   ~ (e1 = e0)
% 185.38/29.81    (8)   ~ (all_52_9 = e0)
% 185.38/29.81    (9)   ~ (e3 = e0)
% 185.38/29.81    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.38/29.81          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.81    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.81          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.81    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.38/29.81          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.38/29.81    (13)  op(e2, e1) = all_52_9
% 185.38/29.81    (14)   ~ (e2 = e0)
% 185.38/29.81    (15)   ~ (e3 = e1)
% 185.38/29.81    (16)   ~ (all_6_2 = e2)
% 185.38/29.81    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.81            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.81    (18)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.38/29.81          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.81    (19)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.38/29.81          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.38/29.81    (20)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.81          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.81    (21)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.38/29.81          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.38/29.81    (22)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.81          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.81            e1)
% 185.38/29.81    (23)   ~ (e3 = e2)
% 185.38/29.81    (24)  all_56_10 = e1
% 185.38/29.81    (25)  op(e3, e3) = all_4_2
% 185.38/29.81    (26)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.81          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.81    (27)  op(e3, e2) = all_52_4
% 185.38/29.81    (28)   ~ (all_52_4 = e0)
% 185.38/29.81    (29)  op(e3, e3) = e3
% 185.38/29.81    (30)   ~ (e2 = e1)
% 185.38/29.81    (31)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.81          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.38/29.81            e2)
% 185.38/29.81    (32)  op(e2, e2) = e0
% 185.38/29.81    (33)   ~ (all_4_2 = e1)
% 185.38/29.81    (34)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.38/29.81          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.38/29.81    (35)  op(e1, e1) = e1
% 185.38/29.81  
% 185.38/29.81  Begin of proof
% 185.38/29.81  | 
% 185.38/29.81  | BETA: splitting (3) gives:
% 185.38/29.81  | 
% 185.38/29.81  | Case 1:
% 185.38/29.81  | | 
% 185.38/29.81  | |   (36)  all_56_2 = e3 & op(e2, e3) = e3
% 185.38/29.81  | | 
% 185.38/29.81  | | ALPHA: (36) implies:
% 185.38/29.81  | |   (37)  all_56_2 = e3
% 185.38/29.81  | | 
% 185.38/29.81  | | BETA: splitting (5) gives:
% 185.38/29.81  | | 
% 185.38/29.81  | | Case 1:
% 185.38/29.81  | | | 
% 185.38/29.81  | | |   (38)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 185.38/29.81  | | |           e3)
% 185.38/29.81  | | | 
% 185.38/29.81  | | | BETA: splitting (38) gives:
% 185.38/29.81  | | | 
% 185.38/29.81  | | | Case 1:
% 185.38/29.81  | | | | 
% 185.38/29.81  | | | |   (39)  all_56_4 = e3 & op(e3, e1) = e3
% 185.38/29.81  | | | | 
% 185.38/29.81  | | | | ALPHA: (39) implies:
% 185.38/29.81  | | | |   (40)  all_56_4 = e3
% 185.38/29.81  | | | | 
% 185.38/29.81  | | | | REF_CLOSE: (2), (5), (6), (7), (8), (9), (10), (13), (14), (15), (17),
% 185.38/29.81  | | | |            (18), (19), (21), (23), (25), (26), (27), (28), (30), (33),
% 185.38/29.81  | | | |            (35), (40) are inconsistent by sub-proof #563.
% 185.38/29.81  | | | | 
% 185.38/29.81  | | | Case 2:
% 185.38/29.81  | | | | 
% 185.38/29.81  | | | |   (41)  all_56_5 = e3 & op(e2, e1) = e3
% 185.38/29.81  | | | | 
% 185.38/29.81  | | | | ALPHA: (41) implies:
% 185.38/29.81  | | | |   (42)  all_56_5 = e3
% 185.38/29.81  | | | | 
% 185.38/29.81  | | | | REF_CLOSE: (14), (17), (20), (23), (24), (30), (32), (37), (42) are
% 185.38/29.81  | | | |            inconsistent by sub-proof #587.
% 185.38/29.81  | | | | 
% 185.38/29.81  | | | End of split
% 185.38/29.81  | | | 
% 185.38/29.81  | | Case 2:
% 185.38/29.81  | | | 
% 185.38/29.81  | | |   (43)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 185.38/29.81  | | |           e3)
% 185.38/29.81  | | | 
% 185.38/29.81  | | | BETA: splitting (43) gives:
% 185.38/29.81  | | | 
% 185.38/29.81  | | | Case 1:
% 185.38/29.81  | | | | 
% 185.38/29.81  | | | |   (44)  all_56_8 = e3 & op(e1, e1) = e3
% 185.38/29.81  | | | | 
% 185.38/29.81  | | | | ALPHA: (44) implies:
% 185.38/29.81  | | | |   (45)  op(e1, e1) = e3
% 185.38/29.81  | | | | 
% 185.38/29.81  | | | | REF_CLOSE: (15), (17), (35), (45) are inconsistent by sub-proof #1541.
% 185.38/29.81  | | | | 
% 185.38/29.81  | | | Case 2:
% 185.38/29.81  | | | | 
% 185.38/29.81  | | | |   (46)  all_56_14 = e3 & op(e0, e1) = e3
% 185.38/29.81  | | | | 
% 185.38/29.81  | | | | ALPHA: (46) implies:
% 185.38/29.81  | | | |   (47)  all_56_14 = e3
% 185.38/29.81  | | | | 
% 185.38/29.81  | | | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (11), (12), (13), (14),
% 185.38/29.81  | | | |            (15), (16), (17), (18), (22), (23), (25), (26), (29), (30),
% 185.38/29.81  | | | |            (31), (33), (34), (35), (37), (47) are inconsistent by
% 185.38/29.81  | | | |            sub-proof #586.
% 185.38/29.81  | | | | 
% 185.38/29.81  | | | End of split
% 185.38/29.81  | | | 
% 185.38/29.81  | | End of split
% 185.38/29.81  | | 
% 185.38/29.81  | Case 2:
% 185.38/29.81  | | 
% 185.38/29.81  | |   (48)  all_56_3 = e3 & op(e2, e2) = e3
% 185.38/29.81  | | 
% 185.38/29.81  | | ALPHA: (48) implies:
% 185.38/29.81  | |   (49)  op(e2, e2) = e3
% 185.38/29.81  | | 
% 185.38/29.81  | | REF_CLOSE: (9), (17), (32), (49) are inconsistent by sub-proof #1015.
% 185.38/29.81  | | 
% 185.38/29.81  | End of split
% 185.38/29.81  | 
% 185.38/29.81  End of proof
% 185.38/29.81  
% 185.38/29.81  Sub-proof #490 shows that the following formulas are inconsistent:
% 185.38/29.81  ----------------------------------------------------------------
% 185.38/29.81    (1)  op(e0, e0) = all_6_2
% 185.38/29.81    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.38/29.81         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.38/29.81    (3)   ~ (all_4_2 = e0)
% 185.38/29.81    (4)   ~ (all_6_2 = e1)
% 185.38/29.81    (5)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.81         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.81    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.81         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.81    (7)  all_56_0 = e3
% 185.38/29.81    (8)   ~ (e1 = e0)
% 185.38/29.81    (9)   ~ (all_52_9 = e0)
% 185.38/29.81    (10)  op(e0, e0) = e0
% 185.38/29.81    (11)   ~ (e3 = e0)
% 185.38/29.81    (12)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.38/29.81          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.81    (13)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.38/29.81          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.81    (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.81          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.81    (15)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.38/29.81          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.38/29.81    (16)  op(e2, e1) = all_52_9
% 185.38/29.81    (17)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.81          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.81    (18)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.81          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.38/29.81    (19)   ~ (all_52_6 = e0)
% 185.38/29.81    (20)   ~ (e2 = e0)
% 185.38/29.81    (21)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.38/29.81          | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.81    (22)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) = e0) |
% 185.38/29.81          (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.81    (23)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.81          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.81    (24)   ~ (e3 = e1)
% 185.38/29.81    (25)   ~ (all_52_4 = all_52_7)
% 185.38/29.81    (26)   ~ (all_6_2 = e2)
% 185.38/29.81    (27)  all_56_9 = e0
% 185.38/29.81    (28)   ~ (all_52_7 = e0)
% 185.38/29.81    (29)  op(e0, e3) = all_52_3
% 185.38/29.81    (30)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.81            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.81    (31)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.38/29.81          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.81    (32)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.38/29.81          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.38/29.81    (33)  all_56_6 = e0 & op(e1, e3) = e0
% 185.38/29.81    (34)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.81          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.81    (35)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.81          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.81    (36)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.38/29.81          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.38/29.81    (37)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.81          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.81            e1)
% 185.38/29.81    (38)  op(e2, e0) = all_52_13
% 185.38/29.81    (39)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.38/29.81          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.38/29.81    (40)   ~ (e3 = e2)
% 185.38/29.81    (41)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.38/29.81          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.38/29.81    (42)  op(e3, e3) = all_4_2
% 185.38/29.81    (43)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.81          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.81    (44)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.38/29.81          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.38/29.81    (45)  op(e3, e2) = all_52_4
% 185.38/29.81    (46)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.38/29.81          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.81            e3)
% 185.38/29.81    (47)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.81          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.81    (48)  op(e1, e2) = all_52_6
% 185.38/29.81    (49)   ~ (all_52_4 = e0)
% 185.38/29.81    (50)  op(e3, e3) = e3
% 185.38/29.81    (51)   ~ (all_52_13 = e0)
% 185.38/29.81    (52)   ~ (e2 = e1)
% 185.38/29.81    (53)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.81          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.38/29.81            e2)
% 185.38/29.81    (54)  op(e0, e2) = all_52_7
% 185.38/29.81    (55)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.81              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.38/29.81                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.38/29.81                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.38/29.81    (56)  op(e2, e2) = e0
% 185.38/29.81    (57)   ~ (all_4_2 = e1)
% 185.38/29.81    (58)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.38/29.81          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.38/29.81    (59)  op(e1, e1) = e1
% 185.38/29.81  
% 185.38/29.81  Begin of proof
% 185.38/29.81  | 
% 185.38/29.81  | ALPHA: (33) implies:
% 185.38/29.81  |   (60)  all_56_6 = e0
% 185.38/29.81  | 
% 185.38/29.81  | BETA: splitting (36) gives:
% 185.38/29.81  | 
% 185.38/29.81  | Case 1:
% 185.38/29.81  | | 
% 185.38/29.81  | |   (61)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 185.38/29.81  | |           e2)
% 185.38/29.81  | | 
% 185.38/29.81  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (13), (14),
% 185.38/29.81  | |            (15), (16), (17), (18), (19), (20), (21), (24), (26), (28), (29),
% 185.38/29.81  | |            (30), (31), (32), (34), (35), (36), (37), (40), (42), (43), (44),
% 185.38/29.81  | |            (45), (46), (47), (48), (49), (50), (52), (53), (54), (56), (57),
% 185.38/29.81  | |            (58), (59), (60), (61) are inconsistent by sub-proof #499.
% 185.38/29.81  | | 
% 185.38/29.81  | Case 2:
% 185.38/29.81  | | 
% 185.38/29.81  | |   (62)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 185.38/29.81  | |           e2)
% 185.38/29.81  | | 
% 185.38/29.81  | | BETA: splitting (62) gives:
% 185.38/29.81  | | 
% 185.38/29.81  | | Case 1:
% 185.38/29.81  | | | 
% 185.38/29.82  | | |   (63)  all_56_4 = e2 & op(e3, e1) = e2
% 185.38/29.82  | | | 
% 185.38/29.82  | | | ALPHA: (63) implies:
% 185.38/29.82  | | |   (64)  all_56_4 = e2
% 185.38/29.82  | | | 
% 185.38/29.82  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.38/29.82  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 185.38/29.82  | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 185.38/29.82  | | |            (34), (35), (36), (37), (38), (39), (40), (41), (42), (43),
% 185.38/29.82  | | |            (44), (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 185.38/29.82  | | |            (54), (55), (56), (57), (58), (59), (60), (64) are inconsistent
% 185.38/29.82  | | |            by sub-proof #491.
% 185.38/29.82  | | | 
% 185.38/29.82  | | Case 2:
% 185.38/29.82  | | | 
% 185.38/29.82  | | |   (65)  all_56_9 = e2 & op(e3, e0) = e2
% 185.38/29.82  | | | 
% 185.38/29.82  | | | ALPHA: (65) implies:
% 185.38/29.82  | | |   (66)  all_56_9 = e2
% 185.38/29.82  | | | 
% 185.38/29.82  | | | REF_CLOSE: (20), (27), (66) are inconsistent by sub-proof #1570.
% 185.38/29.82  | | | 
% 185.38/29.82  | | End of split
% 185.38/29.82  | | 
% 185.38/29.82  | End of split
% 185.38/29.82  | 
% 185.38/29.82  End of proof
% 185.38/29.82  
% 185.38/29.82  Sub-proof #491 shows that the following formulas are inconsistent:
% 185.38/29.82  ----------------------------------------------------------------
% 185.38/29.82    (1)  op(e0, e0) = all_6_2
% 185.38/29.82    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.38/29.82         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.38/29.82    (3)   ~ (all_4_2 = e0)
% 185.38/29.82    (4)  all_56_6 = e0
% 185.38/29.82    (5)   ~ (all_6_2 = e1)
% 185.38/29.82    (6)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.82         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.82    (7)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.82         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.82    (8)  all_56_0 = e3
% 185.38/29.82    (9)   ~ (e1 = e0)
% 185.38/29.82    (10)   ~ (all_52_9 = e0)
% 185.38/29.82    (11)  all_56_4 = e2
% 185.38/29.82    (12)  op(e0, e0) = e0
% 185.38/29.82    (13)   ~ (e3 = e0)
% 185.38/29.82    (14)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.38/29.82          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.82    (15)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.38/29.82          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.82    (16)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.82          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.82    (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.38/29.82          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.38/29.82    (18)  op(e2, e1) = all_52_9
% 185.38/29.82    (19)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.82          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.82    (20)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.82          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.38/29.82    (21)   ~ (all_52_6 = e0)
% 185.38/29.82    (22)   ~ (e2 = e0)
% 185.38/29.82    (23)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.38/29.82          | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.82    (24)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) = e0) |
% 185.38/29.82          (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.82    (25)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.82          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.82    (26)   ~ (e3 = e1)
% 185.38/29.82    (27)   ~ (all_52_4 = all_52_7)
% 185.38/29.82    (28)   ~ (all_6_2 = e2)
% 185.38/29.82    (29)  all_56_9 = e0
% 185.38/29.82    (30)   ~ (all_52_7 = e0)
% 185.38/29.82    (31)  op(e0, e3) = all_52_3
% 185.38/29.82    (32)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.82            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.82    (33)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.38/29.82          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.82    (34)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.38/29.82          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.38/29.82    (35)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.82          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.82    (36)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.82          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.82    (37)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.38/29.82          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.38/29.82    (38)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.82          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.82            e1)
% 185.38/29.82    (39)  op(e2, e0) = all_52_13
% 185.38/29.82    (40)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.38/29.82          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.38/29.82    (41)   ~ (e3 = e2)
% 185.38/29.82    (42)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.38/29.82          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.38/29.82    (43)  op(e3, e3) = all_4_2
% 185.38/29.82    (44)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.82          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.82    (45)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.38/29.82          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.38/29.82    (46)  op(e3, e2) = all_52_4
% 185.38/29.82    (47)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.38/29.82          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.82            e3)
% 185.38/29.82    (48)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.82          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.82    (49)  op(e1, e2) = all_52_6
% 185.38/29.82    (50)   ~ (all_52_4 = e0)
% 185.38/29.82    (51)  op(e3, e3) = e3
% 185.38/29.82    (52)   ~ (all_52_13 = e0)
% 185.38/29.82    (53)   ~ (e2 = e1)
% 185.38/29.82    (54)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.82          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.38/29.82            e2)
% 185.38/29.82    (55)  op(e0, e2) = all_52_7
% 185.38/29.82    (56)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.82              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.38/29.82                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.38/29.82                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.38/29.82    (57)  op(e2, e2) = e0
% 185.38/29.82    (58)   ~ (all_4_2 = e1)
% 185.38/29.82    (59)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.38/29.82          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.38/29.82    (60)  op(e1, e1) = e1
% 185.38/29.82  
% 185.38/29.82  Begin of proof
% 185.38/29.82  | 
% 185.38/29.82  | BETA: splitting (33) gives:
% 185.38/29.82  | 
% 185.38/29.82  | Case 1:
% 185.38/29.82  | | 
% 185.38/29.82  | |   (61)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 185.38/29.82  | |           e0)
% 185.38/29.82  | | 
% 185.38/29.82  | | BETA: splitting (61) gives:
% 185.38/29.82  | | 
% 185.38/29.82  | | Case 1:
% 185.38/29.82  | | | 
% 185.38/29.82  | | |   (62)  all_56_4 = e0 & op(e3, e1) = e0
% 185.38/29.82  | | | 
% 185.38/29.82  | | | ALPHA: (62) implies:
% 185.38/29.82  | | |   (63)  all_56_4 = e0
% 185.38/29.82  | | | 
% 185.38/29.82  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 185.38/29.82  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 185.38/29.82  | | |            (24), (25), (26), (27), (28), (30), (31), (32), (33), (34),
% 185.38/29.82  | | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44),
% 185.38/29.82  | | |            (45), (46), (47), (48), (49), (50), (51), (52), (53), (54),
% 185.38/29.82  | | |            (55), (56), (57), (58), (59), (60), (63) are inconsistent by
% 185.38/29.82  | | |            sub-proof #496.
% 185.38/29.82  | | | 
% 185.38/29.82  | | Case 2:
% 185.38/29.82  | | | 
% 185.38/29.82  | | |   (64)  all_56_5 = e0 & op(e2, e1) = e0
% 185.38/29.82  | | | 
% 185.38/29.82  | | | REF_CLOSE: (10), (18), (32), (64) are inconsistent by sub-proof #1476.
% 185.38/29.82  | | | 
% 185.38/29.82  | | End of split
% 185.38/29.82  | | 
% 185.38/29.82  | Case 2:
% 185.38/29.82  | | 
% 185.38/29.82  | |   (65)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.38/29.82  | |           e0)
% 185.38/29.82  | | 
% 185.38/29.82  | | BETA: splitting (65) gives:
% 185.38/29.82  | | 
% 185.38/29.82  | | Case 1:
% 185.38/29.82  | | | 
% 185.38/29.82  | | |   (66)  all_56_8 = e0 & op(e1, e1) = e0
% 185.38/29.82  | | | 
% 185.38/29.82  | | | ALPHA: (66) implies:
% 185.38/29.82  | | |   (67)  op(e1, e1) = e0
% 185.38/29.82  | | | 
% 185.38/29.82  | | | REF_CLOSE: (9), (32), (60), (67) are inconsistent by sub-proof #1619.
% 185.38/29.82  | | | 
% 185.38/29.82  | | Case 2:
% 185.38/29.82  | | | 
% 185.38/29.82  | | |   (68)  all_56_14 = e0 & op(e0, e1) = e0
% 185.38/29.82  | | | 
% 185.38/29.82  | | | ALPHA: (68) implies:
% 185.38/29.82  | | |   (69)  all_56_14 = e0
% 185.38/29.82  | | | 
% 185.38/29.82  | | | BETA: splitting (47) gives:
% 185.38/29.82  | | | 
% 185.38/29.82  | | | Case 1:
% 185.38/29.82  | | | | 
% 185.38/29.82  | | | |   (70)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0,
% 185.38/29.82  | | | |             e2) = e3)
% 185.38/29.82  | | | | 
% 185.38/29.82  | | | | BETA: splitting (70) gives:
% 185.38/29.82  | | | | 
% 185.38/29.82  | | | | Case 1:
% 185.38/29.82  | | | | | 
% 185.38/29.82  | | | | |   (71)  all_56_12 = e3 & op(e0, e3) = e3
% 185.38/29.82  | | | | | 
% 185.38/29.82  | | | | | ALPHA: (71) implies:
% 185.38/29.82  | | | | |   (72)  all_56_12 = e3
% 185.38/29.82  | | | | |   (73)  op(e0, e3) = e3
% 185.38/29.82  | | | | | 
% 185.38/29.82  | | | | | REF_CLOSE: (1), (3), (4), (5), (7), (9), (10), (13), (15), (16), (17),
% 185.38/29.82  | | | | |            (18), (22), (26), (28), (31), (32), (33), (34), (37), (38),
% 185.38/29.82  | | | | |            (41), (43), (44), (46), (50), (51), (53), (54), (58), (60),
% 185.38/29.82  | | | | |            (72), (73) are inconsistent by sub-proof #578.
% 185.38/29.82  | | | | | 
% 185.38/29.82  | | | | Case 2:
% 185.38/29.82  | | | | | 
% 185.38/29.82  | | | | |   (74)  all_56_13 = e3 & op(e0, e2) = e3
% 185.38/29.82  | | | | | 
% 185.38/29.82  | | | | | ALPHA: (74) implies:
% 185.38/29.82  | | | | |   (75)  all_56_13 = e3
% 185.38/29.82  | | | | | 
% 185.38/29.82  | | | | | BETA: splitting (38) gives:
% 185.38/29.82  | | | | | 
% 185.38/29.82  | | | | | Case 1:
% 185.38/29.82  | | | | | | 
% 185.38/29.82  | | | | | |   (76)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 &
% 185.38/29.82  | | | | | |           op(e0, e2) = e1)
% 185.38/29.82  | | | | | | 
% 185.38/29.82  | | | | | | BETA: splitting (76) gives:
% 185.38/29.82  | | | | | | 
% 185.38/29.82  | | | | | | Case 1:
% 185.38/29.82  | | | | | | | 
% 185.38/29.82  | | | | | | |   (77)  all_56_12 = e1 & op(e0, e3) = e1
% 185.38/29.82  | | | | | | | 
% 185.38/29.82  | | | | | | | ALPHA: (77) implies:
% 185.38/29.82  | | | | | | |   (78)  all_56_12 = e1
% 185.38/29.82  | | | | | | | 
% 185.38/29.82  | | | | | | | BETA: splitting (7) gives:
% 185.38/29.82  | | | | | | | 
% 185.38/29.82  | | | | | | | Case 1:
% 185.38/29.82  | | | | | | | | 
% 185.38/29.82  | | | | | | | |   (79)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 &
% 185.38/29.82  | | | | | | | |           op(e2, e1) = e3)
% 185.38/29.82  | | | | | | | | 
% 185.38/29.82  | | | | | | | | BETA: splitting (79) gives:
% 185.38/29.82  | | | | | | | | 
% 185.38/29.82  | | | | | | | | Case 1:
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | |   (80)  all_56_4 = e3 & op(e3, e1) = e3
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | ALPHA: (80) implies:
% 185.38/29.82  | | | | | | | | |   (81)  all_56_4 = e3
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | REF_CLOSE: (7), (8), (9), (13), (22), (26), (29), (32), (34),
% 185.38/29.82  | | | | | | | | |            (37), (41), (43), (44), (53), (58), (60), (69),
% 185.38/29.82  | | | | | | | | |            (81) are inconsistent by sub-proof #564.
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | Case 2:
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | |   (82)  all_56_5 = e3 & op(e2, e1) = e3
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | ALPHA: (82) implies:
% 185.38/29.82  | | | | | | | | |   (83)  all_56_5 = e3
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | BETA: splitting (54) gives:
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | Case 1:
% 185.38/29.82  | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | |   (84)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2
% 185.38/29.82  | | | | | | | | | |           & op(e0, e2) = e2)
% 185.38/29.82  | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | BETA: splitting (84) gives:
% 185.38/29.82  | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | Case 1:
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | |   (85)  all_56_12 = e2 & op(e0, e3) = e2
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | REF_CLOSE: (11), (22), (32), (41), (44), (53), (60), (69),
% 185.38/29.82  | | | | | | | | | | |            (78), (83), (85) are inconsistent by sub-proof
% 185.38/29.82  | | | | | | | | | | |            #508.
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | Case 2:
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | |   (86)  all_56_13 = e2 & op(e0, e2) = e2
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | ALPHA: (86) implies:
% 185.38/29.82  | | | | | | | | | | |   (87)  all_56_13 = e2
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | REF_CLOSE: (41), (75), (87) are inconsistent by sub-proof
% 185.38/29.82  | | | | | | | | | | |            #1121.
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | End of split
% 185.38/29.82  | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | Case 2:
% 185.38/29.82  | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | |   (88)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2
% 185.38/29.82  | | | | | | | | | |           & op(e0, e0) = e2)
% 185.38/29.82  | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | BETA: splitting (88) gives:
% 185.38/29.82  | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | Case 1:
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | |   (89)  all_56_14 = e2 & op(e0, e1) = e2
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | ALPHA: (89) implies:
% 185.38/29.82  | | | | | | | | | | |   (90)  all_56_14 = e2
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | REF_CLOSE: (9), (22), (23), (30), (32), (55), (78), (90) are
% 185.38/29.82  | | | | | | | | | | |            inconsistent by sub-proof #1442.
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | Case 2:
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | |   (91)  all_56_15 = e2 & op(e0, e0) = e2
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | ALPHA: (91) implies:
% 185.38/29.82  | | | | | | | | | | |   (92)  op(e0, e0) = e2
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | REF_CLOSE: (1), (28), (32), (92) are inconsistent by
% 185.38/29.82  | | | | | | | | | | |            sub-proof #1511.
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | End of split
% 185.38/29.82  | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | End of split
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | End of split
% 185.38/29.82  | | | | | | | | 
% 185.38/29.82  | | | | | | | Case 2:
% 185.38/29.82  | | | | | | | | 
% 185.38/29.82  | | | | | | | |   (93)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 &
% 185.38/29.82  | | | | | | | |           op(e0, e1) = e3)
% 185.38/29.82  | | | | | | | | 
% 185.38/29.82  | | | | | | | | REF_CLOSE: (1), (5), (9), (13), (22), (23), (26), (28), (30),
% 185.38/29.82  | | | | | | | |            (32), (38), (41), (53), (54), (55), (60), (93) are
% 185.38/29.82  | | | | | | | |            inconsistent by sub-proof #1293.
% 185.38/29.82  | | | | | | | | 
% 185.38/29.82  | | | | | | | End of split
% 185.38/29.82  | | | | | | | 
% 185.38/29.82  | | | | | | Case 2:
% 185.38/29.82  | | | | | | | 
% 185.38/29.82  | | | | | | |   (94)  all_56_13 = e1 & op(e0, e2) = e1
% 185.38/29.82  | | | | | | | 
% 185.38/29.82  | | | | | | | REF_CLOSE: (26), (75), (94) are inconsistent by sub-proof #1460.
% 185.38/29.82  | | | | | | | 
% 185.38/29.82  | | | | | | End of split
% 185.38/29.82  | | | | | | 
% 185.38/29.82  | | | | | Case 2:
% 185.38/29.82  | | | | | | 
% 185.38/29.82  | | | | | |   (95)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 185.38/29.82  | | | | | |           op(e0, e0) = e1)
% 185.38/29.82  | | | | | | 
% 185.38/29.82  | | | | | | REF_CLOSE: (1), (5), (7), (9), (10), (13), (18), (22), (26), (32),
% 185.38/29.82  | | | | | |            (33), (41), (44), (53), (60), (95) are inconsistent by
% 185.38/29.82  | | | | | |            sub-proof #595.
% 185.38/29.82  | | | | | | 
% 185.38/29.82  | | | | | End of split
% 185.38/29.82  | | | | | 
% 185.38/29.82  | | | | End of split
% 185.38/29.82  | | | | 
% 185.38/29.82  | | | Case 2:
% 185.38/29.82  | | | | 
% 185.38/29.82  | | | |   (96)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 185.38/29.82  | | | |             e0) = e3)
% 185.38/29.82  | | | | 
% 185.38/29.82  | | | | REF_CLOSE: (1), (5), (9), (12), (13), (22), (23), (26), (28), (30),
% 185.38/29.82  | | | |            (32), (38), (41), (53), (54), (55), (96) are inconsistent by
% 185.38/29.82  | | | |            sub-proof #1438.
% 185.38/29.82  | | | | 
% 185.38/29.82  | | | End of split
% 185.38/29.82  | | | 
% 185.38/29.82  | | End of split
% 185.38/29.82  | | 
% 185.38/29.82  | End of split
% 185.38/29.82  | 
% 185.38/29.82  End of proof
% 185.38/29.82  
% 185.38/29.82  Sub-proof #492 shows that the following formulas are inconsistent:
% 185.38/29.82  ----------------------------------------------------------------
% 185.38/29.82    (1)  op(e0, e0) = all_6_2
% 185.38/29.82    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.38/29.82         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.38/29.82    (3)   ~ (all_4_2 = e0)
% 185.38/29.82    (4)   ~ (all_6_2 = e1)
% 185.38/29.82    (5)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.82         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.82    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.82         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.82    (7)  all_56_0 = e3
% 185.38/29.82    (8)   ~ (e1 = e0)
% 185.38/29.82    (9)   ~ (all_52_9 = e0)
% 185.38/29.82    (10)  op(e0, e0) = e0
% 185.38/29.82    (11)   ~ (e3 = e0)
% 185.38/29.82    (12)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.38/29.82          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.82    (13)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.38/29.82          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.82    (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.82          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.82    (15)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.38/29.82          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.38/29.82    (16)  op(e2, e1) = all_52_9
% 185.38/29.82    (17)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.82          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.82    (18)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.82          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.38/29.82    (19)  all_56_2 = e0
% 185.38/29.82    (20)   ~ (all_52_6 = e0)
% 185.38/29.82    (21)   ~ (e2 = e0)
% 185.38/29.82    (22)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.38/29.82          | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.82    (23)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) = e0) |
% 185.38/29.82          (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.82    (24)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.82          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.82    (25)   ~ (e3 = e1)
% 185.38/29.82    (26)   ~ (all_52_4 = all_52_7)
% 185.38/29.82    (27)   ~ (all_6_2 = e2)
% 185.38/29.82    (28)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.38/29.82          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.38/29.82    (29)   ~ (all_52_7 = e0)
% 185.38/29.82    (30)  op(e0, e3) = all_52_3
% 185.38/29.82    (31)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.82            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.82    (32)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.38/29.82          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.82    (33)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.38/29.82          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.38/29.82    (34)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.82          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.82    (35)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.82          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.82    (36)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.38/29.82          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.38/29.82    (37)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.82          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.82            e1)
% 185.38/29.82    (38)  op(e2, e0) = all_52_13
% 185.38/29.82    (39)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.38/29.82          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.38/29.82    (40)   ~ (e3 = e2)
% 185.38/29.82    (41)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.38/29.82          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.38/29.82    (42)  op(e3, e3) = all_4_2
% 185.38/29.82    (43)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.82          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.82    (44)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.38/29.82          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.38/29.82    (45)  op(e3, e2) = all_52_4
% 185.38/29.82    (46)  all_56_4 = e0
% 185.38/29.82    (47)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.38/29.82          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.82            e3)
% 185.38/29.82    (48)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.82          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.82    (49)  op(e1, e2) = all_52_6
% 185.38/29.82    (50)  all_56_11 = e0
% 185.38/29.82    (51)   ~ (all_52_4 = e0)
% 185.38/29.82    (52)  op(e3, e3) = e3
% 185.38/29.82    (53)   ~ (all_52_13 = e0)
% 185.38/29.82    (54)   ~ (e2 = e1)
% 185.38/29.82    (55)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.82          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.38/29.82            e2)
% 185.38/29.82    (56)  op(e0, e2) = all_52_7
% 185.38/29.82    (57)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.82              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.38/29.82                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.38/29.82                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.38/29.82    (58)  op(e2, e2) = e0
% 185.38/29.82    (59)   ~ (all_4_2 = e1)
% 185.38/29.82    (60)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.38/29.82          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.38/29.82    (61)  op(e1, e1) = e1
% 185.38/29.82  
% 185.38/29.82  Begin of proof
% 185.38/29.82  | 
% 185.38/29.82  | BETA: splitting (48) gives:
% 185.38/29.82  | 
% 185.38/29.82  | Case 1:
% 185.38/29.82  | | 
% 185.38/29.82  | |   (62)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 185.38/29.82  | |           e3)
% 185.38/29.82  | | 
% 185.38/29.82  | | BETA: splitting (62) gives:
% 185.38/29.82  | | 
% 185.38/29.82  | | Case 1:
% 185.38/29.82  | | | 
% 185.38/29.82  | | |   (63)  all_56_6 = e3 & op(e1, e3) = e3
% 185.38/29.82  | | | 
% 185.38/29.82  | | | ALPHA: (63) implies:
% 185.38/29.82  | | |   (64)  all_56_6 = e3
% 185.38/29.82  | | | 
% 185.38/29.82  | | | REF_CLOSE: (2), (6), (8), (9), (11), (14), (15), (16), (18), (19), (21),
% 185.38/29.82  | | |            (25), (31), (32), (34), (35), (40), (42), (43), (44), (50),
% 185.38/29.82  | | |            (52), (54), (58), (59), (61), (64) are inconsistent by
% 185.38/29.82  | | |            sub-proof #598.
% 185.38/29.82  | | | 
% 185.38/29.82  | | Case 2:
% 185.38/29.82  | | | 
% 185.38/29.82  | | |   (65)  all_56_7 = e3 & op(e1, e2) = e3
% 185.38/29.82  | | | 
% 185.38/29.82  | | | ALPHA: (65) implies:
% 185.38/29.82  | | |   (66)  all_56_7 = e3
% 185.38/29.82  | | | 
% 185.38/29.82  | | | BETA: splitting (15) gives:
% 185.38/29.82  | | | 
% 185.38/29.82  | | | Case 1:
% 185.38/29.82  | | | | 
% 185.38/29.82  | | | |   (67)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3)
% 185.38/29.82  | | | |           = e1)
% 185.38/29.82  | | | | 
% 185.38/29.82  | | | | REF_CLOSE: (8), (19), (31), (42), (59), (67) are inconsistent by
% 185.38/29.82  | | | |            sub-proof #1523.
% 185.38/29.82  | | | | 
% 185.38/29.82  | | | Case 2:
% 185.38/29.82  | | | | 
% 185.38/29.82  | | | |   (68)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3)
% 185.38/29.82  | | | |           = e1)
% 185.38/29.82  | | | | 
% 185.38/29.82  | | | | BETA: splitting (68) gives:
% 185.38/29.82  | | | | 
% 185.38/29.82  | | | | Case 1:
% 185.38/29.82  | | | | | 
% 185.38/29.82  | | | | |   (69)  all_56_6 = e1 & op(e1, e3) = e1
% 185.38/29.82  | | | | | 
% 185.38/29.82  | | | | | ALPHA: (69) implies:
% 185.38/29.82  | | | | |   (70)  all_56_6 = e1
% 185.38/29.82  | | | | | 
% 185.38/29.82  | | | | | BETA: splitting (14) gives:
% 185.38/29.82  | | | | | 
% 185.38/29.82  | | | | | Case 1:
% 185.38/29.82  | | | | | | 
% 185.38/29.82  | | | | | |   (71)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2,
% 185.38/29.82  | | | | | |             e3) = e2)
% 185.38/29.82  | | | | | | 
% 185.38/29.82  | | | | | | REF_CLOSE: (19), (21), (31), (40), (52), (71) are inconsistent by
% 185.38/29.82  | | | | | |            sub-proof #495.
% 185.38/29.82  | | | | | | 
% 185.38/29.82  | | | | | Case 2:
% 185.38/29.82  | | | | | | 
% 185.38/29.82  | | | | | |   (72)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0,
% 185.38/29.82  | | | | | |             e3) = e2)
% 185.38/29.82  | | | | | | 
% 185.38/29.82  | | | | | | BETA: splitting (72) gives:
% 185.38/29.82  | | | | | | 
% 185.38/29.82  | | | | | | Case 1:
% 185.38/29.82  | | | | | | | 
% 185.38/29.82  | | | | | | |   (73)  all_56_6 = e2 & op(e1, e3) = e2
% 185.38/29.82  | | | | | | | 
% 185.38/29.82  | | | | | | | REF_CLOSE: (54), (70), (73) are inconsistent by sub-proof #1193.
% 185.38/29.82  | | | | | | | 
% 185.38/29.82  | | | | | | Case 2:
% 185.38/29.82  | | | | | | | 
% 185.38/29.82  | | | | | | |   (74)  all_56_12 = e2 & op(e0, e3) = e2
% 185.38/29.82  | | | | | | | 
% 185.38/29.82  | | | | | | | ALPHA: (74) implies:
% 185.38/29.82  | | | | | | |   (75)  all_56_12 = e2
% 185.38/29.82  | | | | | | | 
% 185.38/29.82  | | | | | | | BETA: splitting (18) gives:
% 185.38/29.82  | | | | | | | 
% 185.38/29.82  | | | | | | | Case 1:
% 185.38/29.82  | | | | | | | | 
% 185.38/29.82  | | | | | | | |   (76)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 &
% 185.38/29.82  | | | | | | | |           op(e2, e2) = e1)
% 185.38/29.82  | | | | | | | | 
% 185.38/29.82  | | | | | | | | BETA: splitting (76) gives:
% 185.38/29.82  | | | | | | | | 
% 185.38/29.82  | | | | | | | | Case 1:
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | |   (77)  all_56_2 = e1 & op(e2, e3) = e1
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | ALPHA: (77) implies:
% 185.38/29.82  | | | | | | | | |   (78)  all_56_2 = e1
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | COMBINE_EQS: (19), (78) imply:
% 185.38/29.82  | | | | | | | | |   (79)  e1 = e0
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | COMBINE_EQS: (70), (79) imply:
% 185.38/29.82  | | | | | | | | |   (80)  all_56_6 = e0
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 185.38/29.82  | | | | | | | | |            (11), (12), (13), (14), (15), (16), (17), (18),
% 185.38/29.82  | | | | | | | | |            (20), (21), (22), (23), (24), (25), (26), (27),
% 185.38/29.82  | | | | | | | | |            (29), (30), (31), (32), (33), (34), (35), (36),
% 185.38/29.82  | | | | | | | | |            (37), (38), (39), (40), (41), (42), (43), (44),
% 185.38/29.82  | | | | | | | | |            (45), (47), (48), (49), (51), (52), (53), (54),
% 185.38/29.82  | | | | | | | | |            (55), (56), (57), (58), (59), (60), (61), (66),
% 185.38/29.82  | | | | | | | | |            (80) are inconsistent by sub-proof #498.
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | Case 2:
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | |   (81)  all_56_3 = e1 & op(e2, e2) = e1
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | ALPHA: (81) implies:
% 185.38/29.82  | | | | | | | | |   (82)  op(e2, e2) = e1
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | REF_CLOSE: (8), (31), (58), (82) are inconsistent by sub-proof
% 185.38/29.82  | | | | | | | | |            #1310.
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | End of split
% 185.38/29.82  | | | | | | | | 
% 185.38/29.82  | | | | | | | Case 2:
% 185.38/29.82  | | | | | | | | 
% 185.38/29.82  | | | | | | | |   (83)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 &
% 185.38/29.82  | | | | | | | |           op(e2, e0) = e1)
% 185.38/29.82  | | | | | | | | 
% 185.38/29.82  | | | | | | | | BETA: splitting (83) gives:
% 185.38/29.82  | | | | | | | | 
% 185.38/29.82  | | | | | | | | Case 1:
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | |   (84)  all_56_5 = e1 & op(e2, e1) = e1
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | ALPHA: (84) implies:
% 185.38/29.82  | | | | | | | | |   (85)  op(e2, e1) = e1
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | REF_CLOSE: (11), (19), (21), (25), (31), (34), (40), (44),
% 185.38/29.82  | | | | | | | | |            (54), (58), (85) are inconsistent by sub-proof
% 185.38/29.82  | | | | | | | | |            #603.
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | Case 2:
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | |   (86)  all_56_10 = e1 & op(e2, e0) = e1
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | ALPHA: (86) implies:
% 185.38/29.82  | | | | | | | | |   (87)  all_56_10 = e1
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | BETA: splitting (37) gives:
% 185.38/29.82  | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | Case 1:
% 185.38/29.82  | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | |   (88)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1
% 185.38/29.82  | | | | | | | | | |           & op(e0, e2) = e1)
% 185.38/29.82  | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | BETA: splitting (88) gives:
% 185.38/29.82  | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | Case 1:
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | |   (89)  all_56_12 = e1 & op(e0, e3) = e1
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | ALPHA: (89) implies:
% 185.38/29.82  | | | | | | | | | | |   (90)  all_56_12 = e1
% 185.38/29.82  | | | | | | | | | | |   (91)  op(e0, e3) = e1
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 185.38/29.82  | | | | | | | | | | |            (11), (12), (13), (14), (15), (16), (17), (18),
% 185.38/29.82  | | | | | | | | | | |            (19), (20), (21), (22), (23), (24), (25), (26),
% 185.38/29.82  | | | | | | | | | | |            (27), (28), (29), (30), (31), (32), (33), (34),
% 185.38/29.82  | | | | | | | | | | |            (35), (36), (37), (38), (39), (40), (41), (42),
% 185.38/29.82  | | | | | | | | | | |            (43), (44), (45), (47), (48), (49), (50), (51),
% 185.38/29.82  | | | | | | | | | | |            (52), (53), (54), (55), (56), (57), (58), (59),
% 185.38/29.82  | | | | | | | | | | |            (60), (61), (66), (90), (91) are inconsistent by
% 185.38/29.82  | | | | | | | | | | |            sub-proof #493.
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | Case 2:
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | |   (92)  all_56_13 = e1 & op(e0, e2) = e1
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | ALPHA: (92) implies:
% 185.38/29.82  | | | | | | | | | | |   (93)  all_56_13 = e1
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | BETA: splitting (39) gives:
% 185.38/29.82  | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | Case 1:
% 185.38/29.82  | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | |   (94)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 185.38/29.82  | | | | | | | | | | | |           e2 & op(e2, e0) = e2)
% 185.38/29.82  | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | BETA: splitting (94) gives:
% 185.38/29.82  | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | Case 1:
% 185.38/29.82  | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | |   (95)  all_56_9 = e2 & op(e3, e0) = e2
% 185.38/29.82  | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | ALPHA: (95) implies:
% 185.38/29.82  | | | | | | | | | | | | |   (96)  all_56_9 = e2
% 185.38/29.82  | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | BETA: splitting (41) gives:
% 185.38/29.82  | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | Case 1:
% 185.38/29.82  | | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | |   (97)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 185.38/29.82  | | | | | | | | | | | | | |           e3 & op(e2, e0) = e3)
% 185.38/29.82  | | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 185.38/29.82  | | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | | Case 1:
% 185.38/29.82  | | | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | | |   (98)  all_56_9 = e3 & op(e3, e0) = e3
% 185.38/29.82  | | | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (11), (13),
% 185.38/29.82  | | | | | | | | | | | | | | |            (14), (15), (16), (17), (18), (20), (21), (24),
% 185.38/29.82  | | | | | | | | | | | | | | |            (25), (26), (27), (31), (32), (33), (34), (35),
% 185.38/29.82  | | | | | | | | | | | | | | |            (36), (37), (40), (42), (43), (44), (45), (48),
% 185.38/29.82  | | | | | | | | | | | | | | |            (49), (51), (52), (54), (55), (56), (58), (59),
% 185.38/29.82  | | | | | | | | | | | | | | |            (60), (61), (66), (98) are inconsistent by
% 185.38/29.82  | | | | | | | | | | | | | | |            sub-proof #570.
% 185.38/29.82  | | | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | | Case 2:
% 185.38/29.82  | | | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | | |   (99)  all_56_10 = e3 & op(e2, e0) = e3
% 185.38/29.82  | | | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | | | ALPHA: (99) implies:
% 185.38/29.82  | | | | | | | | | | | | | | |   (100)  all_56_10 = e3
% 185.38/29.82  | | | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | | | COMBINE_EQS: (87), (100) imply:
% 185.38/29.82  | | | | | | | | | | | | | | |   (101)  e3 = e1
% 185.38/29.82  | | | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | | | SIMP: (101) implies:
% 185.38/29.82  | | | | | | | | | | | | | | |   (102)  e3 = e1
% 185.38/29.82  | | | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | | | COMBINE_EQS: (66), (102) imply:
% 185.38/29.82  | | | | | | | | | | | | | | |   (103)  all_56_7 = e1
% 185.38/29.82  | | | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (11), (14),
% 185.38/29.82  | | | | | | | | | | | | | | |            (15), (16), (17), (18), (20), (21), (25), (27),
% 185.38/29.82  | | | | | | | | | | | | | | |            (31), (32), (34), (35), (37), (40), (42), (43),
% 185.38/29.82  | | | | | | | | | | | | | | |            (44), (48), (49), (52), (54), (55), (58), (59),
% 185.38/29.82  | | | | | | | | | | | | | | |            (60), (61), (103) are inconsistent by sub-proof
% 185.38/29.82  | | | | | | | | | | | | | | |            #575.
% 185.38/29.82  | | | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | | End of split
% 185.38/29.82  | | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | Case 2:
% 185.38/29.82  | | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | |   (104)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 185.38/29.82  | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 185.38/29.82  | | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | | REF_CLOSE: (10), (11), (21), (23), (31), (38), (53), (96),
% 185.38/29.82  | | | | | | | | | | | | | |            (104) are inconsistent by sub-proof #494.
% 185.38/29.82  | | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | End of split
% 185.38/29.82  | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | Case 2:
% 185.38/29.82  | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | |   (105)  all_56_10 = e2 & op(e2, e0) = e2
% 185.38/29.82  | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | ALPHA: (105) implies:
% 185.38/29.82  | | | | | | | | | | | | |   (106)  all_56_10 = e2
% 185.38/29.82  | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | | REF_CLOSE: (54), (87), (106) are inconsistent by sub-proof
% 185.38/29.82  | | | | | | | | | | | | |            #1064.
% 185.38/29.82  | | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | End of split
% 185.38/29.82  | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | Case 2:
% 185.38/29.82  | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | |   (107)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 185.38/29.82  | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 185.38/29.82  | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | BETA: splitting (107) gives:
% 185.38/29.82  | | | | | | | | | | | | 
% 185.38/29.82  | | | | | | | | | | | | Case 1:
% 185.38/29.82  | | | | | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | | | | |   (108)  all_56_11 = e2 & op(e1, e0) = e2
% 185.38/29.83  | | | | | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | | | | | ALPHA: (108) implies:
% 185.38/29.83  | | | | | | | | | | | | |   (109)  all_56_11 = e2
% 185.38/29.83  | | | | | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | | | | | COMBINE_EQS: (50), (109) imply:
% 185.38/29.83  | | | | | | | | | | | | |   (110)  e2 = e0
% 185.38/29.83  | | | | | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | | | | | SIMP: (110) implies:
% 185.38/29.83  | | | | | | | | | | | | |   (111)  e2 = e0
% 185.38/29.83  | | | | | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | | | | | COMBINE_EQS: (75), (111) imply:
% 185.38/29.83  | | | | | | | | | | | | |   (112)  all_56_12 = e0
% 185.38/29.83  | | | | | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | | | | | REF_CLOSE: (1), (3), (4), (6), (8), (9), (10), (11), (13),
% 185.38/29.83  | | | | | | | | | | | | |            (14), (15), (16), (18), (21), (25), (27), (30),
% 185.38/29.83  | | | | | | | | | | | | |            (31), (32), (33), (34), (36), (37), (40), (42),
% 185.38/29.83  | | | | | | | | | | | | |            (43), (44), (45), (47), (51), (52), (54), (55),
% 185.38/29.83  | | | | | | | | | | | | |            (58), (59), (60), (61), (93), (112) are
% 185.38/29.83  | | | | | | | | | | | | |            inconsistent by sub-proof #502.
% 185.38/29.83  | | | | | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | | | | Case 2:
% 185.38/29.83  | | | | | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | | | | |   (113)  all_56_15 = e2 & op(e0, e0) = e2
% 185.38/29.83  | | | | | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | | | | | ALPHA: (113) implies:
% 185.38/29.83  | | | | | | | | | | | | |   (114)  op(e0, e0) = e2
% 185.38/29.83  | | | | | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | | | | | REF_CLOSE: (1), (27), (31), (114) are inconsistent by
% 185.38/29.83  | | | | | | | | | | | | |            sub-proof #1511.
% 185.38/29.83  | | | | | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | | | | End of split
% 185.38/29.83  | | | | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | | | End of split
% 185.38/29.83  | | | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | | End of split
% 185.38/29.83  | | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | Case 2:
% 185.38/29.83  | | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | |   (115)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.38/29.83  | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.38/29.83  | | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | | REF_CLOSE: (1), (4), (6), (11), (21), (25), (31), (40), (43),
% 185.38/29.83  | | | | | | | | | |            (46), (54), (61), (115) are inconsistent by
% 185.38/29.83  | | | | | | | | | |            sub-proof #517.
% 185.38/29.83  | | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | End of split
% 185.38/29.83  | | | | | | | | | 
% 185.38/29.83  | | | | | | | | End of split
% 185.38/29.83  | | | | | | | | 
% 185.38/29.83  | | | | | | | End of split
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | End of split
% 185.38/29.83  | | | | | | 
% 185.38/29.83  | | | | | End of split
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | Case 2:
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | |   (116)  all_56_12 = e1 & op(e0, e3) = e1
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | | ALPHA: (116) implies:
% 185.38/29.83  | | | | |   (117)  all_56_12 = e1
% 185.38/29.83  | | | | |   (118)  op(e0, e3) = e1
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 185.38/29.83  | | | | |            (12), (13), (14), (15), (16), (17), (18), (19), (20), (21),
% 185.38/29.83  | | | | |            (22), (23), (24), (25), (26), (27), (28), (29), (30), (31),
% 185.38/29.83  | | | | |            (32), (33), (34), (35), (36), (37), (38), (39), (40), (41),
% 185.38/29.83  | | | | |            (42), (43), (44), (45), (47), (48), (49), (50), (51), (52),
% 185.38/29.83  | | | | |            (53), (54), (55), (56), (57), (58), (59), (60), (61), (66),
% 185.38/29.83  | | | | |            (117), (118) are inconsistent by sub-proof #493.
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | End of split
% 185.38/29.83  | | | | 
% 185.38/29.83  | | | End of split
% 185.38/29.83  | | | 
% 185.38/29.83  | | End of split
% 185.38/29.83  | | 
% 185.38/29.83  | Case 2:
% 185.38/29.83  | | 
% 185.38/29.83  | |   (119)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 185.38/29.83  | |            e3)
% 185.38/29.83  | | 
% 185.38/29.83  | | REF_CLOSE: (1), (4), (8), (11), (12), (17), (20), (21), (23), (25), (27),
% 185.38/29.83  | |            (31), (35), (38), (39), (40), (48), (49), (53), (54), (61), (119)
% 185.38/29.83  | |            are inconsistent by sub-proof #497.
% 185.38/29.83  | | 
% 185.38/29.83  | End of split
% 185.38/29.83  | 
% 185.38/29.83  End of proof
% 185.38/29.83  
% 185.38/29.83  Sub-proof #493 shows that the following formulas are inconsistent:
% 185.38/29.83  ----------------------------------------------------------------
% 185.38/29.83    (1)  op(e0, e0) = all_6_2
% 185.38/29.83    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.38/29.83         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.38/29.83    (3)   ~ (all_4_2 = e0)
% 185.38/29.83    (4)   ~ (all_6_2 = e1)
% 185.38/29.83    (5)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.83         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.83    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.83         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.83    (7)  all_56_0 = e3
% 185.38/29.83    (8)   ~ (e1 = e0)
% 185.38/29.83    (9)   ~ (all_52_9 = e0)
% 185.38/29.83    (10)  op(e0, e0) = e0
% 185.38/29.83    (11)   ~ (e3 = e0)
% 185.38/29.83    (12)  op(e0, e3) = e1
% 185.38/29.83    (13)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.38/29.83          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.83    (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.38/29.83          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.83    (15)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.83          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.83    (16)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.38/29.83          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.38/29.83    (17)  op(e2, e1) = all_52_9
% 185.38/29.83    (18)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.83          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.83    (19)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.83          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.38/29.83    (20)  all_56_2 = e0
% 185.38/29.83    (21)   ~ (all_52_6 = e0)
% 185.38/29.83    (22)   ~ (e2 = e0)
% 185.38/29.83    (23)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.38/29.83          | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.83    (24)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) = e0) |
% 185.38/29.83          (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.83    (25)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.83          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.83    (26)   ~ (e3 = e1)
% 185.38/29.83    (27)   ~ (all_52_4 = all_52_7)
% 185.38/29.83    (28)   ~ (all_6_2 = e2)
% 185.38/29.83    (29)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.38/29.83          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.38/29.83    (30)   ~ (all_52_7 = e0)
% 185.38/29.83    (31)  op(e0, e3) = all_52_3
% 185.38/29.83    (32)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.83            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.83    (33)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.38/29.83          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.83    (34)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.38/29.83          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.38/29.83    (35)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.83          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.83    (36)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.83          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.83    (37)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.38/29.83          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.38/29.83    (38)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.83          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.83            e1)
% 185.38/29.83    (39)  op(e2, e0) = all_52_13
% 185.38/29.83    (40)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.38/29.83          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.38/29.83    (41)   ~ (e3 = e2)
% 185.38/29.83    (42)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.38/29.83          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.38/29.83    (43)  all_56_12 = e1
% 185.38/29.83    (44)  op(e3, e3) = all_4_2
% 185.38/29.83    (45)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.83          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.83    (46)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.38/29.83          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.38/29.83    (47)  op(e3, e2) = all_52_4
% 185.38/29.83    (48)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.38/29.83          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.83            e3)
% 185.38/29.83    (49)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.83          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.83    (50)  op(e1, e2) = all_52_6
% 185.38/29.83    (51)  all_56_11 = e0
% 185.38/29.83    (52)   ~ (all_52_4 = e0)
% 185.38/29.83    (53)  op(e3, e3) = e3
% 185.38/29.83    (54)   ~ (all_52_13 = e0)
% 185.38/29.83    (55)   ~ (e2 = e1)
% 185.38/29.83    (56)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.83          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.38/29.83            e2)
% 185.38/29.83    (57)  op(e0, e2) = all_52_7
% 185.38/29.83    (58)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.83              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.38/29.83                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.38/29.83                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.38/29.83    (59)  all_56_7 = e3
% 185.38/29.83    (60)  op(e2, e2) = e0
% 185.38/29.83    (61)   ~ (all_4_2 = e1)
% 185.38/29.83    (62)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.38/29.83          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.38/29.83    (63)  op(e1, e1) = e1
% 185.38/29.83  
% 185.38/29.83  Begin of proof
% 185.38/29.83  | 
% 185.38/29.83  | BETA: splitting (15) gives:
% 185.38/29.83  | 
% 185.38/29.83  | Case 1:
% 185.38/29.83  | | 
% 185.38/29.83  | |   (64)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 185.38/29.83  | |           e2)
% 185.38/29.83  | | 
% 185.38/29.83  | | REF_CLOSE: (20), (22), (32), (41), (53), (64) are inconsistent by sub-proof
% 185.38/29.83  | |            #495.
% 185.38/29.83  | | 
% 185.38/29.83  | Case 2:
% 185.38/29.83  | | 
% 185.38/29.83  | |   (65)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 185.38/29.83  | |           e2)
% 185.38/29.83  | | 
% 185.38/29.83  | | BETA: splitting (65) gives:
% 185.38/29.83  | | 
% 185.38/29.83  | | Case 1:
% 185.38/29.83  | | | 
% 185.38/29.83  | | |   (66)  all_56_6 = e2 & op(e1, e3) = e2
% 185.38/29.83  | | | 
% 185.38/29.83  | | | ALPHA: (66) implies:
% 185.38/29.83  | | |   (67)  all_56_6 = e2
% 185.38/29.83  | | | 
% 185.38/29.83  | | | BETA: splitting (19) gives:
% 185.38/29.83  | | | 
% 185.38/29.83  | | | Case 1:
% 185.38/29.83  | | | | 
% 185.38/29.83  | | | |   (68)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2)
% 185.38/29.83  | | | |           = e1)
% 185.38/29.83  | | | | 
% 185.38/29.83  | | | | REF_CLOSE: (8), (20), (32), (60), (68) are inconsistent by sub-proof
% 185.38/29.83  | | | |            #554.
% 185.38/29.83  | | | | 
% 185.38/29.83  | | | Case 2:
% 185.38/29.83  | | | | 
% 185.38/29.83  | | | |   (69)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0)
% 185.38/29.83  | | | |           = e1)
% 185.38/29.83  | | | | 
% 185.38/29.83  | | | | BETA: splitting (69) gives:
% 185.38/29.83  | | | | 
% 185.38/29.83  | | | | Case 1:
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | |   (70)  all_56_5 = e1 & op(e2, e1) = e1
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | | ALPHA: (70) implies:
% 185.38/29.83  | | | | |   (71)  op(e2, e1) = e1
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | | REF_CLOSE: (11), (20), (22), (26), (32), (35), (41), (46), (55), (60),
% 185.38/29.83  | | | | |            (71) are inconsistent by sub-proof #603.
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | Case 2:
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | |   (72)  all_56_10 = e1 & op(e2, e0) = e1
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | | ALPHA: (72) implies:
% 185.38/29.83  | | | | |   (73)  all_56_10 = e1
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | | BETA: splitting (40) gives:
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | | Case 1:
% 185.38/29.83  | | | | | | 
% 185.38/29.83  | | | | | |   (74)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2,
% 185.38/29.83  | | | | | |             e0) = e2)
% 185.38/29.83  | | | | | | 
% 185.38/29.83  | | | | | | BETA: splitting (74) gives:
% 185.38/29.83  | | | | | | 
% 185.38/29.83  | | | | | | Case 1:
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | |   (75)  all_56_9 = e2 & op(e3, e0) = e2
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | | ALPHA: (75) implies:
% 185.38/29.83  | | | | | | |   (76)  all_56_9 = e2
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | | BETA: splitting (42) gives:
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | | Case 1:
% 185.38/29.83  | | | | | | | | 
% 185.38/29.83  | | | | | | | |   (77)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 &
% 185.38/29.83  | | | | | | | |           op(e2, e0) = e3)
% 185.38/29.83  | | | | | | | | 
% 185.38/29.83  | | | | | | | | BETA: splitting (77) gives:
% 185.38/29.83  | | | | | | | | 
% 185.38/29.83  | | | | | | | | Case 1:
% 185.38/29.83  | | | | | | | | | 
% 185.38/29.83  | | | | | | | | |   (78)  all_56_9 = e3 & op(e3, e0) = e3
% 185.38/29.83  | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (11), (14),
% 185.38/29.83  | | | | | | | | |            (15), (16), (17), (18), (19), (21), (22), (25),
% 185.38/29.83  | | | | | | | | |            (26), (27), (28), (32), (33), (34), (35), (36),
% 185.38/29.83  | | | | | | | | |            (37), (38), (41), (44), (45), (46), (47), (49),
% 185.38/29.83  | | | | | | | | |            (50), (52), (53), (55), (56), (57), (59), (60),
% 185.38/29.83  | | | | | | | | |            (61), (62), (63), (78) are inconsistent by
% 185.38/29.83  | | | | | | | | |            sub-proof #570.
% 185.38/29.83  | | | | | | | | | 
% 185.38/29.83  | | | | | | | | Case 2:
% 185.38/29.83  | | | | | | | | | 
% 185.38/29.83  | | | | | | | | |   (79)  all_56_10 = e3 & op(e2, e0) = e3
% 185.38/29.83  | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | ALPHA: (79) implies:
% 185.38/29.83  | | | | | | | | |   (80)  all_56_10 = e3
% 185.38/29.83  | | | | | | | | | 
% 185.38/29.83  | | | | | | | | | REF_CLOSE: (7), (11), (12), (20), (26), (29), (31), (32),
% 185.38/29.83  | | | | | | | | |            (41), (67), (73), (80) are inconsistent by
% 185.38/29.83  | | | | | | | | |            sub-proof #865.
% 185.38/29.83  | | | | | | | | | 
% 185.38/29.83  | | | | | | | | End of split
% 185.38/29.83  | | | | | | | | 
% 185.38/29.83  | | | | | | | Case 2:
% 185.38/29.83  | | | | | | | | 
% 185.38/29.83  | | | | | | | |   (81)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 185.38/29.83  | | | | | | | |           op(e0, e0) = e3)
% 185.38/29.83  | | | | | | | | 
% 185.38/29.83  | | | | | | | | REF_CLOSE: (10), (11), (22), (24), (32), (39), (54), (76), (81)
% 185.38/29.83  | | | | | | | |            are inconsistent by sub-proof #494.
% 185.38/29.83  | | | | | | | | 
% 185.38/29.83  | | | | | | | End of split
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | Case 2:
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | |   (82)  all_56_10 = e2 & op(e2, e0) = e2
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | | ALPHA: (82) implies:
% 185.38/29.83  | | | | | | |   (83)  all_56_10 = e2
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | | REF_CLOSE: (55), (73), (83) are inconsistent by sub-proof #1064.
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | End of split
% 185.38/29.83  | | | | | | 
% 185.38/29.83  | | | | | Case 2:
% 185.38/29.83  | | | | | | 
% 185.38/29.83  | | | | | |   (84)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 &
% 185.38/29.83  | | | | | |           op(e0, e0) = e2)
% 185.38/29.83  | | | | | | 
% 185.38/29.83  | | | | | | BETA: splitting (84) gives:
% 185.38/29.83  | | | | | | 
% 185.38/29.83  | | | | | | Case 1:
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | |   (85)  all_56_11 = e2 & op(e1, e0) = e2
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | | ALPHA: (85) implies:
% 185.38/29.83  | | | | | | |   (86)  all_56_11 = e2
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | | COMBINE_EQS: (51), (86) imply:
% 185.38/29.83  | | | | | | |   (87)  e2 = e0
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | | SIMP: (87) implies:
% 185.38/29.83  | | | | | | |   (88)  e2 = e0
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | | COMBINE_EQS: (67), (88) imply:
% 185.38/29.83  | | | | | | |   (89)  all_56_6 = e0
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 185.38/29.83  | | | | | | |            (11), (13), (14), (15), (16), (17), (18), (19), (21),
% 185.38/29.83  | | | | | | |            (22), (23), (24), (25), (26), (27), (28), (30), (31),
% 185.38/29.83  | | | | | | |            (32), (33), (34), (35), (36), (37), (38), (39), (40),
% 185.38/29.83  | | | | | | |            (41), (42), (44), (45), (46), (47), (48), (49), (50),
% 185.38/29.83  | | | | | | |            (52), (53), (54), (55), (56), (57), (58), (59), (60),
% 185.38/29.83  | | | | | | |            (61), (62), (63), (89) are inconsistent by sub-proof
% 185.38/29.83  | | | | | | |            #498.
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | Case 2:
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | |   (90)  all_56_15 = e2 & op(e0, e0) = e2
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | | ALPHA: (90) implies:
% 185.38/29.83  | | | | | | |   (91)  op(e0, e0) = e2
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | | REF_CLOSE: (1), (28), (32), (91) are inconsistent by sub-proof
% 185.38/29.83  | | | | | | |            #1511.
% 185.38/29.83  | | | | | | | 
% 185.38/29.83  | | | | | | End of split
% 185.38/29.83  | | | | | | 
% 185.38/29.83  | | | | | End of split
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | End of split
% 185.38/29.83  | | | | 
% 185.38/29.83  | | | End of split
% 185.38/29.83  | | | 
% 185.38/29.83  | | Case 2:
% 185.38/29.83  | | | 
% 185.38/29.83  | | |   (92)  all_56_12 = e2 & op(e0, e3) = e2
% 185.38/29.83  | | | 
% 185.38/29.83  | | | REF_CLOSE: (43), (55), (92) are inconsistent by sub-proof #1591.
% 185.38/29.83  | | | 
% 185.38/29.83  | | End of split
% 185.38/29.83  | | 
% 185.38/29.83  | End of split
% 185.38/29.83  | 
% 185.38/29.83  End of proof
% 185.38/29.83  
% 185.38/29.83  Sub-proof #494 shows that the following formulas are inconsistent:
% 185.38/29.83  ----------------------------------------------------------------
% 185.38/29.83    (1)  all_56_9 = e2
% 185.38/29.83    (2)  op(e0, e0) = e0
% 185.38/29.83    (3)   ~ (e3 = e0)
% 185.38/29.83    (4)   ~ (e2 = e0)
% 185.38/29.83    (5)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) = e0) |
% 185.38/29.83         (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.83    (6)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.38/29.83    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.83    (8)  op(e2, e0) = all_52_13
% 185.38/29.83    (9)   ~ (all_52_13 = e0)
% 185.38/29.83  
% 185.38/29.83  Begin of proof
% 185.38/29.83  | 
% 185.38/29.83  | BETA: splitting (6) gives:
% 185.38/29.83  | 
% 185.38/29.83  | Case 1:
% 185.38/29.83  | | 
% 185.38/29.83  | |   (10)  all_56_11 = e3 & op(e1, e0) = e3
% 185.38/29.83  | | 
% 185.38/29.83  | | ALPHA: (10) implies:
% 185.38/29.83  | |   (11)  all_56_11 = e3
% 185.38/29.83  | | 
% 185.38/29.83  | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (11) are inconsistent by
% 185.38/29.83  | |            sub-proof #540.
% 185.38/29.83  | | 
% 185.38/29.83  | Case 2:
% 185.38/29.83  | | 
% 185.38/29.83  | |   (12)  all_56_15 = e3 & op(e0, e0) = e3
% 185.38/29.83  | | 
% 185.38/29.83  | | ALPHA: (12) implies:
% 185.38/29.83  | |   (13)  op(e0, e0) = e3
% 185.38/29.83  | | 
% 185.38/29.83  | | REF_CLOSE: (2), (3), (7), (13) are inconsistent by sub-proof #1540.
% 185.38/29.83  | | 
% 185.38/29.83  | End of split
% 185.38/29.83  | 
% 185.38/29.83  End of proof
% 185.38/29.83  
% 185.38/29.83  Sub-proof #495 shows that the following formulas are inconsistent:
% 185.38/29.83  ----------------------------------------------------------------
% 185.38/29.83    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 185.38/29.83    (2)  all_56_2 = e0
% 185.38/29.83    (3)   ~ (e2 = e0)
% 185.38/29.83    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.83    (5)   ~ (e3 = e2)
% 185.38/29.83    (6)  op(e3, e3) = e3
% 185.38/29.83  
% 185.38/29.83  Begin of proof
% 185.38/29.83  | 
% 185.38/29.83  | BETA: splitting (1) gives:
% 185.38/29.83  | 
% 185.38/29.83  | Case 1:
% 185.38/29.83  | | 
% 185.38/29.83  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 185.38/29.83  | | 
% 185.38/29.83  | | ALPHA: (7) implies:
% 185.38/29.83  | |   (8)  op(e3, e3) = e2
% 185.38/29.83  | | 
% 185.38/29.83  | | REF_CLOSE: (4), (5), (6), (8) are inconsistent by sub-proof #1594.
% 185.38/29.83  | | 
% 185.38/29.83  | Case 2:
% 185.38/29.83  | | 
% 185.38/29.83  | |   (9)  all_56_2 = e2 & op(e2, e3) = e2
% 185.38/29.83  | | 
% 185.38/29.83  | | REF_CLOSE: (2), (3), (9) are inconsistent by sub-proof #638.
% 185.38/29.83  | | 
% 185.38/29.83  | End of split
% 185.38/29.83  | 
% 185.38/29.83  End of proof
% 185.38/29.83  
% 185.38/29.83  Sub-proof #496 shows that the following formulas are inconsistent:
% 185.38/29.83  ----------------------------------------------------------------
% 185.38/29.83    (1)  op(e0, e0) = all_6_2
% 185.38/29.83    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.38/29.83         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.38/29.83    (3)   ~ (all_4_2 = e0)
% 185.38/29.83    (4)  all_56_6 = e0
% 185.38/29.83    (5)   ~ (all_6_2 = e1)
% 185.38/29.83    (6)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.83         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.83    (7)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.83         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.83    (8)  all_56_0 = e3
% 185.38/29.83    (9)   ~ (e1 = e0)
% 185.38/29.83    (10)   ~ (all_52_9 = e0)
% 185.38/29.83    (11)  op(e0, e0) = e0
% 185.38/29.83    (12)   ~ (e3 = e0)
% 185.38/29.83    (13)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.38/29.83          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.83    (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.38/29.83          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.83    (15)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.83          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.83    (16)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.38/29.83          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.38/29.83    (17)  op(e2, e1) = all_52_9
% 185.38/29.83    (18)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.83          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.83    (19)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.83          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.38/29.83    (20)   ~ (all_52_6 = e0)
% 185.38/29.83    (21)   ~ (e2 = e0)
% 185.38/29.83    (22)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.38/29.83          | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.83    (23)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) = e0) |
% 185.38/29.83          (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.83    (24)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.83          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.83    (25)   ~ (e3 = e1)
% 185.38/29.83    (26)   ~ (all_52_4 = all_52_7)
% 185.38/29.83    (27)   ~ (all_6_2 = e2)
% 185.38/29.83    (28)   ~ (all_52_7 = e0)
% 185.38/29.83    (29)  op(e0, e3) = all_52_3
% 185.38/29.83    (30)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.83            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.83    (31)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.38/29.83          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.83    (32)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.38/29.83          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.38/29.83    (33)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.83          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.83    (34)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.83          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.83    (35)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.38/29.83          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.38/29.83    (36)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.83          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.83            e1)
% 185.38/29.83    (37)  op(e2, e0) = all_52_13
% 185.38/29.83    (38)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.38/29.83          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.38/29.83    (39)   ~ (e3 = e2)
% 185.38/29.83    (40)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.38/29.83          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.38/29.83    (41)  op(e3, e3) = all_4_2
% 185.38/29.83    (42)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.83          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.83    (43)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.38/29.83          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.38/29.83    (44)  op(e3, e2) = all_52_4
% 185.38/29.83    (45)  all_56_4 = e0
% 185.38/29.83    (46)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.38/29.83          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.83            e3)
% 185.38/29.83    (47)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.83          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.83    (48)  op(e1, e2) = all_52_6
% 185.38/29.83    (49)   ~ (all_52_4 = e0)
% 185.38/29.83    (50)  op(e3, e3) = e3
% 185.38/29.83    (51)   ~ (all_52_13 = e0)
% 185.38/29.83    (52)   ~ (e2 = e1)
% 185.38/29.83    (53)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.83          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.38/29.83            e2)
% 185.38/29.83    (54)  op(e0, e2) = all_52_7
% 185.38/29.83    (55)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.83              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.38/29.83                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.38/29.83                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.38/29.83    (56)  op(e2, e2) = e0
% 185.38/29.83    (57)   ~ (all_4_2 = e1)
% 185.38/29.83    (58)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.38/29.83          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.38/29.83    (59)  op(e1, e1) = e1
% 185.38/29.83  
% 185.38/29.83  Begin of proof
% 185.38/29.83  | 
% 185.38/29.83  | BETA: splitting (23) gives:
% 185.38/29.83  | 
% 185.38/29.83  | Case 1:
% 185.38/29.83  | | 
% 185.38/29.83  | |   (60)  all_56_9 = e0 & op(e3, e0) = e0
% 185.38/29.83  | | 
% 185.38/29.83  | | ALPHA: (60) implies:
% 185.38/29.83  | |   (61)  all_56_9 = e0
% 185.38/29.83  | | 
% 185.38/29.83  | | BETA: splitting (35) gives:
% 185.38/29.83  | | 
% 185.38/29.83  | | Case 1:
% 185.38/29.83  | | | 
% 185.38/29.83  | | |   (62)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 185.38/29.83  | | |           e2)
% 185.38/29.83  | | | 
% 185.38/29.83  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (14),
% 185.38/29.83  | | |            (15), (16), (17), (18), (19), (20), (21), (22), (25), (27),
% 185.38/29.83  | | |            (28), (29), (30), (31), (32), (33), (34), (35), (36), (39),
% 185.38/29.83  | | |            (41), (42), (43), (44), (46), (47), (48), (49), (50), (52),
% 185.38/29.83  | | |            (53), (54), (56), (57), (58), (59), (62) are inconsistent by
% 185.38/29.83  | | |            sub-proof #499.
% 185.38/29.83  | | | 
% 185.38/29.83  | | Case 2:
% 185.38/29.83  | | | 
% 185.38/29.83  | | |   (63)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 185.38/29.83  | | |           e2)
% 185.38/29.83  | | | 
% 185.38/29.83  | | | REF_CLOSE: (21), (45), (61), (63) are inconsistent by sub-proof #1393.
% 185.38/29.83  | | | 
% 185.38/29.83  | | End of split
% 185.38/29.83  | | 
% 185.38/29.83  | Case 2:
% 185.38/29.83  | | 
% 185.38/29.83  | |   (64)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.38/29.83  | |           e0)
% 185.38/29.83  | | 
% 185.38/29.83  | | BETA: splitting (64) gives:
% 185.38/29.83  | | 
% 185.38/29.83  | | Case 1:
% 185.38/29.83  | | | 
% 185.38/29.83  | | |   (65)  all_56_10 = e0 & op(e2, e0) = e0
% 185.38/29.83  | | | 
% 185.38/29.83  | | | ALPHA: (65) implies:
% 185.38/29.83  | | |   (66)  op(e2, e0) = e0
% 185.38/29.83  | | | 
% 185.38/29.83  | | | REF_CLOSE: (30), (37), (51), (66) are inconsistent by sub-proof #1504.
% 185.38/29.83  | | | 
% 185.38/29.83  | | Case 2:
% 185.38/29.83  | | | 
% 185.38/29.83  | | |   (67)  all_56_11 = e0 & op(e1, e0) = e0
% 185.38/29.83  | | | 
% 185.38/29.83  | | | ALPHA: (67) implies:
% 185.38/29.83  | | |   (68)  all_56_11 = e0
% 185.38/29.83  | | | 
% 185.38/29.83  | | | BETA: splitting (47) gives:
% 185.38/29.83  | | | 
% 185.38/29.83  | | | Case 1:
% 185.38/29.83  | | | | 
% 185.38/29.83  | | | |   (69)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2)
% 185.38/29.83  | | | |           = e3)
% 185.38/29.83  | | | | 
% 185.38/29.83  | | | | BETA: splitting (69) gives:
% 185.38/29.83  | | | | 
% 185.38/29.83  | | | | Case 1:
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | |   (70)  all_56_6 = e3 & op(e1, e3) = e3
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | | ALPHA: (70) implies:
% 185.38/29.83  | | | | |   (71)  all_56_6 = e3
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | | REF_CLOSE: (1), (2), (3), (5), (7), (9), (10), (12), (15), (16), (17),
% 185.38/29.83  | | | | |            (19), (21), (25), (27), (30), (31), (33), (34), (36), (39),
% 185.38/29.83  | | | | |            (41), (42), (43), (50), (52), (53), (56), (57), (58), (59),
% 185.38/29.83  | | | | |            (68), (71) are inconsistent by sub-proof #594.
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | Case 2:
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | |   (72)  all_56_7 = e3 & op(e1, e2) = e3
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | | ALPHA: (72) implies:
% 185.38/29.83  | | | | |   (73)  all_56_7 = e3
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 185.38/29.83  | | | | |            (12), (13), (14), (15), (16), (17), (18), (19), (20), (21),
% 185.38/29.83  | | | | |            (22), (23), (24), (25), (26), (27), (28), (29), (30), (31),
% 185.38/29.83  | | | | |            (32), (33), (34), (35), (36), (37), (38), (39), (40), (41),
% 185.38/29.83  | | | | |            (42), (43), (44), (46), (47), (48), (49), (50), (51), (52),
% 185.38/29.83  | | | | |            (53), (54), (55), (56), (57), (58), (59), (73) are
% 185.38/29.83  | | | | |            inconsistent by sub-proof #498.
% 185.38/29.83  | | | | | 
% 185.38/29.83  | | | | End of split
% 185.38/29.83  | | | | 
% 185.38/29.83  | | | Case 2:
% 185.38/29.83  | | | | 
% 185.38/29.83  | | | |   (74)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0)
% 185.38/29.83  | | | |           = e3)
% 185.38/29.83  | | | | 
% 185.38/29.83  | | | | REF_CLOSE: (1), (5), (9), (12), (13), (18), (20), (21), (23), (25),
% 185.38/29.83  | | | |            (27), (30), (34), (37), (38), (39), (47), (48), (51), (52),
% 185.38/29.83  | | | |            (59), (74) are inconsistent by sub-proof #497.
% 185.38/29.83  | | | | 
% 185.38/29.83  | | | End of split
% 185.38/29.83  | | | 
% 185.38/29.83  | | End of split
% 185.38/29.83  | | 
% 185.38/29.83  | End of split
% 185.38/29.83  | 
% 185.38/29.83  End of proof
% 185.38/29.83  
% 185.38/29.83  Sub-proof #497 shows that the following formulas are inconsistent:
% 185.38/29.83  ----------------------------------------------------------------
% 185.38/29.83    (1)  op(e0, e0) = all_6_2
% 185.38/29.83    (2)   ~ (all_6_2 = e1)
% 185.38/29.83    (3)   ~ (e1 = e0)
% 185.38/29.83    (4)   ~ (e3 = e0)
% 185.38/29.83    (5)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.38/29.83         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.83    (6)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.83         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.83    (7)   ~ (all_52_6 = e0)
% 185.38/29.83    (8)   ~ (e2 = e0)
% 185.38/29.83    (9)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) = e0) |
% 185.38/29.83         (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.83    (10)   ~ (e3 = e1)
% 185.38/29.83    (11)   ~ (all_6_2 = e2)
% 185.38/29.83    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.83            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.83    (13)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.83          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.83    (14)  op(e2, e0) = all_52_13
% 185.38/29.83    (15)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.38/29.83          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.38/29.83    (16)   ~ (e3 = e2)
% 185.38/29.83    (17)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.83    (18)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.83          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.83    (19)  op(e1, e2) = all_52_6
% 185.38/29.83    (20)   ~ (all_52_13 = e0)
% 185.38/29.83    (21)   ~ (e2 = e1)
% 185.38/29.83    (22)  op(e1, e1) = e1
% 185.38/29.83  
% 185.38/29.83  Begin of proof
% 185.38/29.83  | 
% 185.38/29.83  | BETA: splitting (17) gives:
% 185.38/29.83  | 
% 185.38/29.83  | Case 1:
% 185.38/29.83  | | 
% 185.38/29.83  | |   (23)  all_56_8 = e3 & op(e1, e1) = e3
% 185.38/29.83  | | 
% 185.38/29.83  | | ALPHA: (23) implies:
% 185.38/29.83  | |   (24)  op(e1, e1) = e3
% 185.38/29.83  | | 
% 185.38/29.83  | | REF_CLOSE: (10), (12), (22), (24) are inconsistent by sub-proof #1541.
% 185.38/29.83  | | 
% 185.38/29.83  | Case 2:
% 185.38/29.83  | | 
% 185.38/29.83  | |   (25)  all_56_11 = e3 & op(e1, e0) = e3
% 185.38/29.83  | | 
% 185.38/29.83  | | ALPHA: (25) implies:
% 185.38/29.84  | |   (26)  all_56_11 = e3
% 185.38/29.84  | | 
% 185.38/29.84  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.38/29.84  | |            (13), (14), (15), (16), (18), (19), (20), (21), (22), (26) are
% 185.38/29.84  | |            inconsistent by sub-proof #538.
% 185.38/29.84  | | 
% 185.38/29.84  | End of split
% 185.38/29.84  | 
% 185.38/29.84  End of proof
% 185.38/29.84  
% 185.38/29.84  Sub-proof #498 shows that the following formulas are inconsistent:
% 185.38/29.84  ----------------------------------------------------------------
% 185.38/29.84    (1)  op(e0, e0) = all_6_2
% 185.38/29.84    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.38/29.84         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.38/29.84    (3)   ~ (all_4_2 = e0)
% 185.38/29.84    (4)  all_56_6 = e0
% 185.38/29.84    (5)   ~ (all_6_2 = e1)
% 185.38/29.84    (6)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.84         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.84    (7)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.84         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.84    (8)  all_56_0 = e3
% 185.38/29.84    (9)   ~ (e1 = e0)
% 185.38/29.84    (10)   ~ (all_52_9 = e0)
% 185.38/29.84    (11)  op(e0, e0) = e0
% 185.38/29.84    (12)   ~ (e3 = e0)
% 185.38/29.84    (13)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.38/29.84          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.84    (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.38/29.84          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.84    (15)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.84          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.84    (16)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.38/29.84          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.38/29.84    (17)  op(e2, e1) = all_52_9
% 185.38/29.84    (18)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.84          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.84    (19)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.84          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.38/29.84    (20)   ~ (all_52_6 = e0)
% 185.38/29.84    (21)   ~ (e2 = e0)
% 185.38/29.84    (22)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.38/29.84          | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.84    (23)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) = e0) |
% 185.38/29.84          (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.84    (24)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.84          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.84    (25)   ~ (e3 = e1)
% 185.38/29.84    (26)   ~ (all_52_4 = all_52_7)
% 185.38/29.84    (27)   ~ (all_6_2 = e2)
% 185.38/29.84    (28)   ~ (all_52_7 = e0)
% 185.38/29.84    (29)  op(e0, e3) = all_52_3
% 185.38/29.84    (30)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.84            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.84    (31)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.38/29.84          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.84    (32)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.38/29.84          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.38/29.84    (33)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.84          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.84    (34)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.84          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.84    (35)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.38/29.84          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.38/29.84    (36)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.84          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.84            e1)
% 185.38/29.84    (37)  op(e2, e0) = all_52_13
% 185.38/29.84    (38)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.38/29.84          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.38/29.84    (39)   ~ (e3 = e2)
% 185.38/29.84    (40)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.38/29.84          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.38/29.84    (41)  op(e3, e3) = all_4_2
% 185.38/29.84    (42)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.84          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.84    (43)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.38/29.84          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.38/29.84    (44)  op(e3, e2) = all_52_4
% 185.38/29.84    (45)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.38/29.84          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.84            e3)
% 185.38/29.84    (46)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.84          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.84    (47)  op(e1, e2) = all_52_6
% 185.38/29.84    (48)   ~ (all_52_4 = e0)
% 185.38/29.84    (49)  op(e3, e3) = e3
% 185.38/29.84    (50)   ~ (all_52_13 = e0)
% 185.38/29.84    (51)   ~ (e2 = e1)
% 185.38/29.84    (52)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.84          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.38/29.84            e2)
% 185.38/29.84    (53)  op(e0, e2) = all_52_7
% 185.38/29.84    (54)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.84              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.38/29.84                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.38/29.84                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.38/29.84    (55)  all_56_7 = e3
% 185.38/29.84    (56)  op(e2, e2) = e0
% 185.38/29.84    (57)   ~ (all_4_2 = e1)
% 185.38/29.84    (58)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.38/29.84          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.38/29.84    (59)  op(e1, e1) = e1
% 185.38/29.84  
% 185.38/29.84  Begin of proof
% 185.38/29.84  | 
% 185.38/29.84  | BETA: splitting (7) gives:
% 185.38/29.84  | 
% 185.38/29.84  | Case 1:
% 185.38/29.84  | | 
% 185.38/29.84  | |   (60)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 185.38/29.84  | |           e3)
% 185.38/29.84  | | 
% 185.38/29.84  | | BETA: splitting (60) gives:
% 185.38/29.84  | | 
% 185.38/29.84  | | Case 1:
% 185.38/29.84  | | | 
% 185.38/29.84  | | |   (61)  all_56_4 = e3 & op(e3, e1) = e3
% 185.38/29.84  | | | 
% 185.38/29.84  | | | ALPHA: (61) implies:
% 185.38/29.84  | | |   (62)  all_56_4 = e3
% 185.38/29.84  | | | 
% 185.38/29.84  | | | REF_CLOSE: (3), (7), (8), (9), (10), (12), (14), (17), (21), (25), (30),
% 185.38/29.84  | | |            (31), (32), (35), (39), (41), (42), (44), (48), (51), (57),
% 185.38/29.84  | | |            (59), (62) are inconsistent by sub-proof #563.
% 185.38/29.84  | | | 
% 185.38/29.84  | | Case 2:
% 185.38/29.84  | | | 
% 185.38/29.84  | | |   (63)  all_56_5 = e3 & op(e2, e1) = e3
% 185.38/29.84  | | | 
% 185.38/29.84  | | | ALPHA: (63) implies:
% 185.38/29.84  | | |   (64)  all_56_5 = e3
% 185.38/29.84  | | |   (65)  op(e2, e1) = e3
% 185.38/29.84  | | | 
% 185.38/29.84  | | | BETA: splitting (45) gives:
% 185.38/29.84  | | | 
% 185.38/29.84  | | | Case 1:
% 185.38/29.84  | | | | 
% 185.38/29.84  | | | |   (66)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0,
% 185.38/29.84  | | | |             e2) = e3)
% 185.38/29.84  | | | | 
% 185.38/29.84  | | | | BETA: splitting (66) gives:
% 185.38/29.84  | | | | 
% 185.38/29.84  | | | | Case 1:
% 185.38/29.84  | | | | | 
% 185.38/29.84  | | | | |   (67)  all_56_12 = e3 & op(e0, e3) = e3
% 185.38/29.84  | | | | | 
% 185.38/29.84  | | | | | ALPHA: (67) implies:
% 185.38/29.84  | | | | |   (68)  all_56_12 = e3
% 185.38/29.84  | | | | |   (69)  op(e0, e3) = e3
% 185.38/29.84  | | | | | 
% 185.38/29.84  | | | | | REF_CLOSE: (1), (3), (4), (5), (7), (9), (10), (12), (14), (15), (16),
% 185.38/29.84  | | | | |            (17), (21), (25), (27), (29), (30), (31), (32), (35), (36),
% 185.38/29.84  | | | | |            (39), (41), (42), (44), (48), (49), (51), (52), (57), (59),
% 185.38/29.84  | | | | |            (68), (69) are inconsistent by sub-proof #578.
% 185.38/29.84  | | | | | 
% 185.38/29.84  | | | | Case 2:
% 185.38/29.84  | | | | | 
% 185.38/29.84  | | | | |   (70)  all_56_13 = e3 & op(e0, e2) = e3
% 185.38/29.84  | | | | | 
% 185.38/29.84  | | | | | ALPHA: (70) implies:
% 185.38/29.84  | | | | |   (71)  all_56_13 = e3
% 185.38/29.84  | | | | | 
% 185.38/29.84  | | | | | BETA: splitting (40) gives:
% 185.38/29.84  | | | | | 
% 185.38/29.84  | | | | | Case 1:
% 185.38/29.84  | | | | | | 
% 185.38/29.84  | | | | | |   (72)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2,
% 185.38/29.84  | | | | | |             e0) = e3)
% 185.38/29.84  | | | | | | 
% 185.38/29.84  | | | | | | REF_CLOSE: (1), (2), (3), (5), (7), (9), (10), (12), (13), (14),
% 185.38/29.84  | | | | | |            (15), (16), (17), (18), (19), (20), (21), (24), (25),
% 185.38/29.84  | | | | | |            (26), (27), (30), (31), (32), (33), (34), (35), (36),
% 185.38/29.84  | | | | | |            (38), (39), (41), (42), (43), (44), (46), (47), (48),
% 185.38/29.84  | | | | | |            (49), (51), (52), (53), (55), (56), (57), (58), (59),
% 185.38/29.84  | | | | | |            (64), (65), (72) are inconsistent by sub-proof #541.
% 185.38/29.84  | | | | | | 
% 185.38/29.84  | | | | | Case 2:
% 185.38/29.84  | | | | | | 
% 185.38/29.84  | | | | | |   (73)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 185.38/29.84  | | | | | |           op(e0, e0) = e3)
% 185.38/29.84  | | | | | | 
% 185.38/29.84  | | | | | | BETA: splitting (73) gives:
% 185.38/29.84  | | | | | | 
% 185.38/29.84  | | | | | | Case 1:
% 185.38/29.84  | | | | | | | 
% 185.38/29.84  | | | | | | |   (74)  all_56_11 = e3 & op(e1, e0) = e3
% 185.38/29.84  | | | | | | | 
% 185.38/29.84  | | | | | | | ALPHA: (74) implies:
% 185.38/29.84  | | | | | | |   (75)  all_56_11 = e3
% 185.38/29.84  | | | | | | | 
% 185.38/29.84  | | | | | | | REF_CLOSE: (1), (5), (9), (12), (13), (18), (20), (21), (23),
% 185.38/29.84  | | | | | | |            (25), (27), (30), (34), (37), (38), (39), (46), (47),
% 185.38/29.84  | | | | | | |            (50), (51), (59), (75) are inconsistent by sub-proof
% 185.38/29.84  | | | | | | |            #538.
% 185.38/29.84  | | | | | | | 
% 185.38/29.84  | | | | | | Case 2:
% 185.38/29.84  | | | | | | | 
% 185.38/29.84  | | | | | | |   (76)  all_56_15 = e3 & op(e0, e0) = e3
% 185.38/29.84  | | | | | | | 
% 185.38/29.84  | | | | | | | ALPHA: (76) implies:
% 185.38/29.84  | | | | | | |   (77)  op(e0, e0) = e3
% 185.38/29.84  | | | | | | | 
% 185.38/29.84  | | | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (10), (12), (15),
% 185.38/29.84  | | | | | | |            (16), (17), (18), (19), (20), (21), (24), (25), (27),
% 185.38/29.84  | | | | | | |            (28), (30), (31), (33), (34), (36), (39), (41), (42),
% 185.38/29.84  | | | | | | |            (43), (46), (47), (49), (51), (52), (53), (54), (56),
% 185.38/29.84  | | | | | | |            (57), (58), (59), (71), (77) are inconsistent by
% 185.38/29.84  | | | | | | |            sub-proof #522.
% 185.38/29.84  | | | | | | | 
% 185.38/29.84  | | | | | | End of split
% 185.38/29.84  | | | | | | 
% 185.38/29.84  | | | | | End of split
% 185.38/29.84  | | | | | 
% 185.38/29.84  | | | | End of split
% 185.38/29.84  | | | | 
% 185.38/29.84  | | | Case 2:
% 185.38/29.84  | | | | 
% 185.38/29.84  | | | |   (78)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 185.38/29.84  | | | |             e0) = e3)
% 185.38/29.84  | | | | 
% 185.38/29.84  | | | | REF_CLOSE: (1), (5), (9), (11), (12), (21), (22), (25), (27), (28),
% 185.38/29.84  | | | |            (30), (36), (39), (51), (52), (53), (78) are inconsistent by
% 185.38/29.84  | | | |            sub-proof #1438.
% 185.38/29.84  | | | | 
% 185.38/29.84  | | | End of split
% 185.38/29.84  | | | 
% 185.38/29.84  | | End of split
% 185.38/29.84  | | 
% 185.38/29.84  | Case 2:
% 185.38/29.84  | | 
% 185.38/29.84  | |   (79)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 185.38/29.84  | |           e3)
% 185.38/29.84  | | 
% 185.38/29.84  | | REF_CLOSE: (1), (5), (9), (12), (21), (22), (25), (27), (28), (30), (36),
% 185.38/29.84  | |            (39), (51), (52), (53), (59), (79) are inconsistent by sub-proof
% 185.38/29.84  | |            #1293.
% 185.38/29.84  | | 
% 185.38/29.84  | End of split
% 185.38/29.84  | 
% 185.38/29.84  End of proof
% 185.38/29.84  
% 185.38/29.84  Sub-proof #499 shows that the following formulas are inconsistent:
% 185.38/29.84  ----------------------------------------------------------------
% 185.38/29.84    (1)  op(e0, e0) = all_6_2
% 185.38/29.84    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.38/29.84         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.38/29.84    (3)   ~ (all_4_2 = e0)
% 185.38/29.84    (4)  all_56_6 = e0
% 185.38/29.84    (5)   ~ (all_6_2 = e1)
% 185.38/29.84    (6)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.84         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.84    (7)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.84         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.84    (8)   ~ (e1 = e0)
% 185.38/29.84    (9)   ~ (all_52_9 = e0)
% 185.38/29.84    (10)  op(e0, e0) = e0
% 185.38/29.84    (11)   ~ (e3 = e0)
% 185.38/29.84    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.38/29.84          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.84    (13)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.84          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.84    (14)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.38/29.84          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.38/29.84    (15)  op(e2, e1) = all_52_9
% 185.38/29.84    (16)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.84          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.84    (17)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.84          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.38/29.84    (18)   ~ (all_52_6 = e0)
% 185.38/29.84    (19)   ~ (e2 = e0)
% 185.38/29.84    (20)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.38/29.84          | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.84    (21)   ~ (e3 = e1)
% 185.38/29.84    (22)   ~ (all_6_2 = e2)
% 185.38/29.84    (23)   ~ (all_52_7 = e0)
% 185.38/29.84    (24)  op(e0, e3) = all_52_3
% 185.38/29.84    (25)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.84            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.84    (26)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.38/29.84          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.84    (27)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.38/29.84          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.38/29.84    (28)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.84          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.84    (29)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.84          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.84    (30)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.38/29.84          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.38/29.84    (31)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.84          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.84            e1)
% 185.38/29.84    (32)   ~ (e3 = e2)
% 185.38/29.84    (33)  op(e3, e3) = all_4_2
% 185.38/29.84    (34)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.84          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.84    (35)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.38/29.84          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.38/29.84    (36)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 185.38/29.84    (37)  op(e3, e2) = all_52_4
% 185.38/29.84    (38)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.38/29.84          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.84            e3)
% 185.38/29.84    (39)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.84          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.84    (40)  op(e1, e2) = all_52_6
% 185.38/29.84    (41)   ~ (all_52_4 = e0)
% 185.38/29.84    (42)  op(e3, e3) = e3
% 185.38/29.84    (43)   ~ (e2 = e1)
% 185.38/29.84    (44)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.84          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.38/29.84            e2)
% 185.38/29.84    (45)  op(e0, e2) = all_52_7
% 185.38/29.84    (46)  op(e2, e2) = e0
% 185.38/29.84    (47)   ~ (all_4_2 = e1)
% 185.38/29.84    (48)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.38/29.84          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.38/29.84    (49)  op(e1, e1) = e1
% 185.38/29.84  
% 185.38/29.84  Begin of proof
% 185.38/29.84  | 
% 185.38/29.84  | BETA: splitting (36) gives:
% 185.38/29.84  | 
% 185.38/29.84  | Case 1:
% 185.38/29.84  | | 
% 185.38/29.84  | |   (50)  all_56_0 = e2 & op(e3, e3) = e2
% 185.38/29.84  | | 
% 185.38/29.84  | | ALPHA: (50) implies:
% 185.38/29.84  | |   (51)  op(e3, e3) = e2
% 185.38/29.84  | | 
% 185.38/29.84  | | REF_CLOSE: (25), (32), (42), (51) are inconsistent by sub-proof #1594.
% 185.38/29.84  | | 
% 185.38/29.84  | Case 2:
% 185.38/29.84  | | 
% 185.38/29.84  | |   (52)  all_56_1 = e2 & op(e3, e2) = e2
% 185.38/29.84  | | 
% 185.38/29.84  | | ALPHA: (52) implies:
% 185.38/29.84  | |   (53)  all_56_1 = e2
% 185.38/29.84  | | 
% 185.38/29.84  | | BETA: splitting (38) gives:
% 185.38/29.84  | | 
% 185.38/29.84  | | Case 1:
% 185.38/29.84  | | | 
% 185.38/29.84  | | |   (54)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2)
% 185.38/29.84  | | |           = e3)
% 185.38/29.84  | | | 
% 185.38/29.84  | | | BETA: splitting (54) gives:
% 185.38/29.84  | | | 
% 185.38/29.84  | | | Case 1:
% 185.38/29.84  | | | | 
% 185.38/29.84  | | | |   (55)  all_56_12 = e3 & op(e0, e3) = e3
% 185.38/29.84  | | | | 
% 185.38/29.84  | | | | ALPHA: (55) implies:
% 185.38/29.84  | | | |   (56)  all_56_12 = e3
% 185.38/29.84  | | | |   (57)  op(e0, e3) = e3
% 185.38/29.84  | | | | 
% 185.38/29.84  | | | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (11), (12), (13), (14),
% 185.38/29.84  | | | |            (15), (19), (21), (22), (24), (25), (26), (27), (30), (31),
% 185.38/29.84  | | | |            (32), (33), (34), (37), (41), (42), (43), (44), (47), (49),
% 185.38/29.84  | | | |            (56), (57) are inconsistent by sub-proof #578.
% 185.38/29.84  | | | | 
% 185.38/29.84  | | | Case 2:
% 185.38/29.84  | | | | 
% 185.38/29.84  | | | |   (58)  all_56_13 = e3 & op(e0, e2) = e3
% 185.38/29.84  | | | | 
% 185.38/29.84  | | | | ALPHA: (58) implies:
% 185.38/29.84  | | | |   (59)  all_56_13 = e3
% 185.38/29.84  | | | | 
% 185.38/29.84  | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (11), (13), (14),
% 185.38/29.84  | | | |            (15), (16), (17), (18), (19), (21), (22), (25), (26), (28),
% 185.38/29.84  | | | |            (29), (31), (32), (33), (34), (35), (39), (40), (42), (43),
% 185.38/29.84  | | | |            (44), (46), (47), (48), (49), (53), (59) are inconsistent by
% 185.38/29.84  | | | |            sub-proof #574.
% 185.38/29.84  | | | | 
% 185.38/29.84  | | | End of split
% 185.38/29.84  | | | 
% 185.38/29.84  | | Case 2:
% 185.38/29.84  | | | 
% 185.38/29.84  | | |   (60)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0)
% 185.38/29.84  | | |           = e3)
% 185.38/29.84  | | | 
% 185.38/29.84  | | | REF_CLOSE: (1), (5), (8), (10), (11), (19), (20), (21), (22), (23), (25),
% 185.38/29.84  | | |            (31), (32), (43), (44), (45), (60) are inconsistent by
% 185.38/29.84  | | |            sub-proof #1438.
% 185.38/29.84  | | | 
% 185.38/29.84  | | End of split
% 185.38/29.84  | | 
% 185.38/29.84  | End of split
% 185.38/29.84  | 
% 185.38/29.84  End of proof
% 185.38/29.84  
% 185.38/29.84  Sub-proof #500 shows that the following formulas are inconsistent:
% 185.38/29.84  ----------------------------------------------------------------
% 185.38/29.84    (1)  op(e0, e0) = all_6_2
% 185.38/29.84    (2)   ~ (all_4_2 = e0)
% 185.38/29.84    (3)   ~ (all_6_2 = e1)
% 185.38/29.84    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.84         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.84    (5)   ~ (e1 = e0)
% 185.38/29.84    (6)   ~ (all_52_9 = e0)
% 185.38/29.84    (7)  op(e0, e0) = e0
% 185.38/29.84    (8)   ~ (e3 = e0)
% 185.38/29.84    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.38/29.84         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.84    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.84          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.84    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.38/29.84          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.38/29.84    (12)  op(e2, e1) = all_52_9
% 185.38/29.84    (13)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.84          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.38/29.84    (14)   ~ (e2 = e0)
% 185.38/29.84    (15)   ~ (e3 = e1)
% 185.38/29.84    (16)   ~ (all_6_2 = e2)
% 185.38/29.84    (17)  op(e0, e3) = all_52_3
% 185.38/29.84    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.84            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.84    (19)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.38/29.84          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.84    (20)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.38/29.84          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.38/29.84    (21)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.84          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.84    (22)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.38/29.84          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.38/29.84    (23)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.84          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.84            e1)
% 185.38/29.84    (24)  all_56_12 = e0 & op(e0, e3) = e0
% 185.38/29.84    (25)   ~ (e3 = e2)
% 185.38/29.84    (26)  op(e3, e3) = all_4_2
% 185.38/29.84    (27)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.84          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.84    (28)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.38/29.84          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.38/29.84    (29)  op(e3, e2) = all_52_4
% 185.38/29.84    (30)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.38/29.84          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.84            e3)
% 185.38/29.84    (31)   ~ (all_52_4 = e0)
% 185.38/29.84    (32)  op(e3, e3) = e3
% 185.38/29.84    (33)   ~ (e2 = e1)
% 185.38/29.84    (34)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.84          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.38/29.84            e2)
% 185.38/29.84    (35)  op(e2, e2) = e0
% 185.38/29.84    (36)   ~ (all_4_2 = e1)
% 185.38/29.84    (37)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.38/29.84          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.38/29.84    (38)  op(e1, e1) = e1
% 185.38/29.84  
% 185.38/29.84  Begin of proof
% 185.38/29.84  | 
% 185.38/29.84  | ALPHA: (24) implies:
% 185.38/29.84  |   (39)  all_56_12 = e0
% 185.38/29.84  |   (40)  op(e0, e3) = e0
% 185.38/29.84  | 
% 185.38/29.84  | BETA: splitting (23) gives:
% 185.38/29.84  | 
% 185.38/29.84  | Case 1:
% 185.38/29.84  | | 
% 185.38/29.84  | |   (41)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 185.38/29.84  | |           e1)
% 185.38/29.84  | | 
% 185.38/29.84  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.38/29.84  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 185.38/29.84  | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 185.38/29.84  | |            (36), (37), (38), (39), (40), (41) are inconsistent by sub-proof
% 185.38/29.84  | |            #501.
% 185.38/29.84  | | 
% 185.38/29.84  | Case 2:
% 185.38/29.84  | | 
% 185.38/29.84  | |   (42)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.84  | |           e1)
% 185.38/29.84  | | 
% 185.38/29.84  | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (12), (14), (15), (18), (19), (25),
% 185.38/29.84  | |            (27), (33), (38), (42) are inconsistent by sub-proof #595.
% 185.38/29.84  | | 
% 185.38/29.84  | End of split
% 185.38/29.84  | 
% 185.38/29.84  End of proof
% 185.38/29.84  
% 185.38/29.84  Sub-proof #501 shows that the following formulas are inconsistent:
% 185.38/29.84  ----------------------------------------------------------------
% 185.38/29.84    (1)  op(e0, e0) = all_6_2
% 185.38/29.84    (2)   ~ (all_4_2 = e0)
% 185.38/29.84    (3)   ~ (all_6_2 = e1)
% 185.38/29.84    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.84         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.84    (5)   ~ (e1 = e0)
% 185.38/29.84    (6)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.84    (7)   ~ (all_52_9 = e0)
% 185.38/29.84    (8)  op(e0, e0) = e0
% 185.38/29.84    (9)   ~ (e3 = e0)
% 185.38/29.84    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.38/29.84          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.84    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.84          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.84    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.38/29.84          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.38/29.84    (13)  op(e2, e1) = all_52_9
% 185.38/29.84    (14)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.84          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.38/29.84    (15)   ~ (e2 = e0)
% 185.38/29.84    (16)   ~ (e3 = e1)
% 185.38/29.84    (17)   ~ (all_6_2 = e2)
% 185.38/29.84    (18)  op(e0, e3) = all_52_3
% 185.38/29.84    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.84            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.84    (20)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.38/29.84          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.84    (21)  all_56_12 = e0
% 185.38/29.84    (22)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.38/29.84          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.38/29.84    (23)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.84          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.84    (24)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.38/29.84          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.38/29.84    (25)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.84          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.84            e1)
% 185.38/29.84    (26)   ~ (e3 = e2)
% 185.38/29.84    (27)  op(e3, e3) = all_4_2
% 185.38/29.84    (28)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.84          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.84    (29)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.38/29.84          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.38/29.84    (30)  op(e3, e2) = all_52_4
% 185.38/29.84    (31)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.38/29.84          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.84            e3)
% 185.38/29.84    (32)   ~ (all_52_4 = e0)
% 185.38/29.84    (33)  op(e3, e3) = e3
% 185.38/29.84    (34)   ~ (e2 = e1)
% 185.38/29.84    (35)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.84          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.38/29.84            e2)
% 185.38/29.84    (36)  op(e0, e3) = e0
% 185.38/29.84    (37)  op(e2, e2) = e0
% 185.38/29.84    (38)   ~ (all_4_2 = e1)
% 185.38/29.84    (39)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.38/29.84          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.38/29.84    (40)  op(e1, e1) = e1
% 185.38/29.84  
% 185.38/29.84  Begin of proof
% 185.38/29.84  | 
% 185.38/29.84  | BETA: splitting (6) gives:
% 185.38/29.84  | 
% 185.38/29.84  | Case 1:
% 185.38/29.84  | | 
% 185.38/29.84  | |   (41)  all_56_12 = e1 & op(e0, e3) = e1
% 185.38/29.84  | | 
% 185.38/29.84  | | ALPHA: (41) implies:
% 185.38/29.84  | |   (42)  op(e0, e3) = e1
% 185.38/29.84  | | 
% 185.38/29.84  | | REF_CLOSE: (5), (19), (36), (42) are inconsistent by sub-proof #1589.
% 185.38/29.84  | | 
% 185.38/29.84  | Case 2:
% 185.38/29.84  | | 
% 185.38/29.84  | |   (43)  all_56_13 = e1 & op(e0, e2) = e1
% 185.38/29.84  | | 
% 185.38/29.84  | | ALPHA: (43) implies:
% 185.38/29.84  | |   (44)  all_56_13 = e1
% 185.38/29.84  | | 
% 185.38/29.85  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 185.38/29.85  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 185.38/29.85  | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34), (35),
% 185.38/29.85  | |            (37), (38), (39), (40), (44) are inconsistent by sub-proof #502.
% 185.38/29.85  | | 
% 185.38/29.85  | End of split
% 185.38/29.85  | 
% 185.38/29.85  End of proof
% 185.38/29.85  
% 185.38/29.85  Sub-proof #502 shows that the following formulas are inconsistent:
% 185.38/29.85  ----------------------------------------------------------------
% 185.38/29.85    (1)  op(e0, e0) = all_6_2
% 185.38/29.85    (2)   ~ (all_4_2 = e0)
% 185.38/29.85    (3)   ~ (all_6_2 = e1)
% 185.38/29.85    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.85         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.85    (5)   ~ (e1 = e0)
% 185.38/29.85    (6)   ~ (all_52_9 = e0)
% 185.38/29.85    (7)  op(e0, e0) = e0
% 185.38/29.85    (8)   ~ (e3 = e0)
% 185.38/29.85    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.38/29.85         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.85    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.85          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.85    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.38/29.85          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.38/29.85    (12)  op(e2, e1) = all_52_9
% 185.38/29.85    (13)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.85          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.38/29.85    (14)   ~ (e2 = e0)
% 185.38/29.85    (15)   ~ (e3 = e1)
% 185.38/29.85    (16)   ~ (all_6_2 = e2)
% 185.38/29.85    (17)  op(e0, e3) = all_52_3
% 185.38/29.85    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.85            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.85    (19)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.38/29.85          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.85    (20)  all_56_12 = e0
% 185.38/29.85    (21)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.38/29.85          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.38/29.85    (22)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.85          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.85    (23)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.38/29.85          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.38/29.85    (24)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.85          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.85            e1)
% 185.38/29.85    (25)   ~ (e3 = e2)
% 185.38/29.85    (26)  op(e3, e3) = all_4_2
% 185.38/29.85    (27)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.85          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.85    (28)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.38/29.85          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.38/29.85    (29)  op(e3, e2) = all_52_4
% 185.38/29.85    (30)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.38/29.85          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.85            e3)
% 185.38/29.85    (31)   ~ (all_52_4 = e0)
% 185.38/29.85    (32)  op(e3, e3) = e3
% 185.38/29.85    (33)   ~ (e2 = e1)
% 185.38/29.85    (34)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.85          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.38/29.85            e2)
% 185.38/29.85    (35)  all_56_13 = e1
% 185.38/29.85    (36)  op(e2, e2) = e0
% 185.38/29.85    (37)   ~ (all_4_2 = e1)
% 185.38/29.85    (38)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.38/29.85          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.38/29.85    (39)  op(e1, e1) = e1
% 185.38/29.85  
% 185.38/29.85  Begin of proof
% 185.38/29.85  | 
% 185.38/29.85  | BETA: splitting (30) gives:
% 185.38/29.85  | 
% 185.38/29.85  | Case 1:
% 185.38/29.85  | | 
% 185.38/29.85  | |   (40)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 185.38/29.85  | |           e3)
% 185.38/29.85  | | 
% 185.38/29.85  | | BETA: splitting (40) gives:
% 185.38/29.85  | | 
% 185.38/29.85  | | Case 1:
% 185.38/29.85  | | | 
% 185.38/29.85  | | |   (41)  all_56_12 = e3 & op(e0, e3) = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | ALPHA: (41) implies:
% 185.38/29.85  | | |   (42)  all_56_12 = e3
% 185.38/29.85  | | |   (43)  op(e0, e3) = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 185.38/29.85  | | |            (14), (15), (16), (17), (18), (19), (21), (22), (23), (24),
% 185.38/29.85  | | |            (25), (26), (27), (28), (29), (31), (32), (33), (34), (36),
% 185.38/29.85  | | |            (37), (38), (39), (42), (43) are inconsistent by sub-proof
% 185.38/29.85  | | |            #577.
% 185.38/29.85  | | | 
% 185.38/29.85  | | Case 2:
% 185.38/29.85  | | | 
% 185.38/29.85  | | |   (44)  all_56_13 = e3 & op(e0, e2) = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | ALPHA: (44) implies:
% 185.38/29.85  | | |   (45)  all_56_13 = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | REF_CLOSE: (15), (35), (45) are inconsistent by sub-proof #1357.
% 185.38/29.85  | | | 
% 185.38/29.85  | | End of split
% 185.38/29.85  | | 
% 185.38/29.85  | Case 2:
% 185.38/29.85  | | 
% 185.38/29.85  | |   (46)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.85  | |           e3)
% 185.38/29.85  | | 
% 185.38/29.85  | | BETA: splitting (46) gives:
% 185.38/29.85  | | 
% 185.38/29.85  | | Case 1:
% 185.38/29.85  | | | 
% 185.38/29.85  | | |   (47)  all_56_14 = e3 & op(e0, e1) = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | ALPHA: (47) implies:
% 185.38/29.85  | | |   (48)  all_56_14 = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | REF_CLOSE: (1), (14), (16), (18), (20), (25), (33), (34), (35), (48) are
% 185.38/29.85  | | |            inconsistent by sub-proof #1509.
% 185.38/29.85  | | | 
% 185.38/29.85  | | Case 2:
% 185.38/29.85  | | | 
% 185.38/29.85  | | |   (49)  all_56_15 = e3 & op(e0, e0) = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | ALPHA: (49) implies:
% 185.38/29.85  | | |   (50)  op(e0, e0) = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | REF_CLOSE: (7), (8), (18), (50) are inconsistent by sub-proof #1540.
% 185.38/29.85  | | | 
% 185.38/29.85  | | End of split
% 185.38/29.85  | | 
% 185.38/29.85  | End of split
% 185.38/29.85  | 
% 185.38/29.85  End of proof
% 185.38/29.85  
% 185.38/29.85  Sub-proof #503 shows that the following formulas are inconsistent:
% 185.38/29.85  ----------------------------------------------------------------
% 185.38/29.85    (1)  op(e0, e0) = all_6_2
% 185.38/29.85    (2)   ~ (all_6_2 = e1)
% 185.38/29.85    (3)   ~ (e1 = e0)
% 185.38/29.85    (4)   ~ (e3 = e0)
% 185.38/29.85    (5)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.38/29.85         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.85    (6)  all_56_5 = e3
% 185.38/29.85    (7)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.85         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.85    (8)   ~ (all_52_6 = e0)
% 185.38/29.85    (9)   ~ (e2 = e0)
% 185.38/29.85    (10)   ~ (e3 = e1)
% 185.38/29.85    (11)  all_56_9 = e0
% 185.38/29.85    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.85            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.85    (13)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.85    (14)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.85          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.85    (15)   ~ (e3 = e2)
% 185.38/29.85    (16)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.85          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.85    (17)  op(e1, e2) = all_52_6
% 185.38/29.85    (18)   ~ (e2 = e1)
% 185.38/29.85    (19)  op(e1, e1) = e1
% 185.38/29.85  
% 185.38/29.85  Begin of proof
% 185.38/29.85  | 
% 185.38/29.85  | BETA: splitting (13) gives:
% 185.38/29.85  | 
% 185.38/29.85  | Case 1:
% 185.38/29.85  | | 
% 185.38/29.85  | |   (20)  all_56_5 = e2 & op(e2, e1) = e2
% 185.38/29.85  | | 
% 185.38/29.85  | | ALPHA: (20) implies:
% 185.38/29.85  | |   (21)  all_56_5 = e2
% 185.38/29.85  | | 
% 185.38/29.85  | | REF_CLOSE: (6), (15), (21) are inconsistent by sub-proof #936.
% 185.38/29.85  | | 
% 185.38/29.85  | Case 2:
% 185.38/29.85  | | 
% 185.38/29.85  | |   (22)  all_56_10 = e2 & op(e2, e0) = e2
% 185.38/29.85  | | 
% 185.38/29.85  | | ALPHA: (22) implies:
% 185.38/29.85  | |   (23)  all_56_10 = e2
% 185.38/29.85  | | 
% 185.38/29.85  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (14),
% 185.38/29.85  | |            (15), (16), (17), (18), (19), (23) are inconsistent by sub-proof
% 185.38/29.85  | |            #539.
% 185.38/29.85  | | 
% 185.38/29.85  | End of split
% 185.38/29.85  | 
% 185.38/29.85  End of proof
% 185.38/29.85  
% 185.38/29.85  Sub-proof #504 shows that the following formulas are inconsistent:
% 185.38/29.85  ----------------------------------------------------------------
% 185.38/29.85    (1)  all_56_9 = e3 & op(e3, e0) = e3
% 185.38/29.85    (2)  all_56_9 = e0
% 185.38/29.85    (3)   ~ (e3 = e0)
% 185.38/29.85  
% 185.38/29.85  Begin of proof
% 185.38/29.85  | 
% 185.38/29.85  | ALPHA: (1) implies:
% 185.38/29.85  |   (4)  all_56_9 = e3
% 185.38/29.85  | 
% 185.38/29.85  | COMBINE_EQS: (2), (4) imply:
% 185.38/29.85  |   (5)  e3 = e0
% 185.38/29.85  | 
% 185.38/29.85  | REDUCE: (3), (5) imply:
% 185.38/29.85  |   (6)  $false
% 185.38/29.85  | 
% 185.38/29.85  | CLOSE: (6) is inconsistent.
% 185.38/29.85  | 
% 185.38/29.85  End of proof
% 185.38/29.85  
% 185.38/29.85  Sub-proof #505 shows that the following formulas are inconsistent:
% 185.38/29.85  ----------------------------------------------------------------
% 185.38/29.85    (1)  op(e0, e0) = all_6_2
% 185.38/29.85    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.38/29.85         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.38/29.85    (3)   ~ (all_4_2 = e0)
% 185.38/29.85    (4)   ~ (all_6_2 = e1)
% 185.38/29.85    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.85         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.85    (6)  all_56_0 = e3
% 185.38/29.85    (7)   ~ (e1 = e0)
% 185.38/29.85    (8)   ~ (all_52_9 = e0)
% 185.38/29.85    (9)  all_56_4 = e2
% 185.38/29.85    (10)  op(e0, e0) = e0
% 185.38/29.85    (11)   ~ (e3 = e0)
% 185.38/29.85    (12)  op(e0, e3) = e1
% 185.38/29.85    (13)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.38/29.85          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.85    (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.38/29.85          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.85    (15)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.85          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.85    (16)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.38/29.85          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.38/29.85    (17)  op(e2, e1) = all_52_9
% 185.38/29.85    (18)  all_56_5 = e3
% 185.38/29.85    (19)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.85          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.85    (20)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.85          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.38/29.85    (21)  all_56_2 = e0
% 185.38/29.85    (22)   ~ (all_52_6 = e0)
% 185.38/29.85    (23)   ~ (e2 = e0)
% 185.38/29.85    (24)   ~ (e3 = e1)
% 185.38/29.85    (25)   ~ (all_6_2 = e2)
% 185.38/29.85    (26)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.38/29.85          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.38/29.85    (27)  all_56_9 = e0
% 185.38/29.85    (28)  op(e0, e3) = all_52_3
% 185.38/29.85    (29)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.85            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.85    (30)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.38/29.85          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.85    (31)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.38/29.85          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.38/29.85    (32)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.85          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.85    (33)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.85          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.85    (34)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.38/29.85          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.38/29.85    (35)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.85          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.85            e1)
% 185.38/29.85    (36)  op(e2, e0) = all_52_13
% 185.38/29.85    (37)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.38/29.85          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.38/29.85    (38)   ~ (e3 = e2)
% 185.38/29.85    (39)  all_56_10 = e1
% 185.38/29.85    (40)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.38/29.85          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.38/29.85    (41)  all_56_12 = e1
% 185.38/29.85    (42)  op(e3, e3) = all_4_2
% 185.38/29.85    (43)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.85          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.85    (44)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.38/29.85          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.38/29.85    (45)  op(e3, e2) = all_52_4
% 185.38/29.85    (46)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.38/29.85          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.85            e3)
% 185.38/29.85    (47)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.85          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.85    (48)  op(e1, e2) = all_52_6
% 185.38/29.85    (49)   ~ (all_52_4 = e0)
% 185.38/29.85    (50)  op(e3, e3) = e3
% 185.38/29.85    (51)  op(e2, e1) = e3
% 185.38/29.85    (52)   ~ (all_52_13 = e0)
% 185.38/29.85    (53)   ~ (e2 = e1)
% 185.38/29.85    (54)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.85          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.38/29.85            e2)
% 185.38/29.85    (55)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.85              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.38/29.85                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.38/29.85                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.38/29.85    (56)  all_56_14 = e0
% 185.38/29.85    (57)  op(e2, e2) = e0
% 185.38/29.85    (58)   ~ (all_4_2 = e1)
% 185.38/29.85    (59)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.38/29.85          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.38/29.85    (60)  op(e1, e1) = e1
% 185.38/29.85  
% 185.38/29.85  Begin of proof
% 185.38/29.85  | 
% 185.38/29.85  | BETA: splitting (40) gives:
% 185.38/29.85  | 
% 185.38/29.85  | Case 1:
% 185.38/29.85  | | 
% 185.38/29.85  | |   (61)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.38/29.85  | |           e3)
% 185.38/29.85  | | 
% 185.38/29.85  | | BETA: splitting (61) gives:
% 185.38/29.85  | | 
% 185.38/29.85  | | Case 1:
% 185.38/29.85  | | | 
% 185.38/29.85  | | |   (62)  all_56_9 = e3 & op(e3, e0) = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | ALPHA: (62) implies:
% 185.38/29.85  | | |   (63)  all_56_9 = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | REF_CLOSE: (11), (27), (63) are inconsistent by sub-proof #510.
% 185.38/29.85  | | | 
% 185.38/29.85  | | Case 2:
% 185.38/29.85  | | | 
% 185.38/29.85  | | |   (64)  all_56_10 = e3 & op(e2, e0) = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | ALPHA: (64) implies:
% 185.38/29.85  | | |   (65)  all_56_10 = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | COMBINE_EQS: (39), (65) imply:
% 185.38/29.85  | | |   (66)  e3 = e1
% 185.38/29.85  | | | 
% 185.38/29.85  | | | SIMP: (66) implies:
% 185.38/29.85  | | |   (67)  e3 = e1
% 185.38/29.85  | | | 
% 185.38/29.85  | | | COMBINE_EQS: (6), (67) imply:
% 185.38/29.85  | | |   (68)  all_56_0 = e1
% 185.38/29.85  | | | 
% 185.38/29.85  | | | REF_CLOSE: (11), (12), (15), (21), (23), (24), (26), (28), (29), (38),
% 185.38/29.85  | | |            (41), (53), (68) are inconsistent by sub-proof #509.
% 185.38/29.85  | | | 
% 185.38/29.85  | | End of split
% 185.38/29.85  | | 
% 185.38/29.85  | Case 2:
% 185.38/29.85  | | 
% 185.38/29.85  | |   (69)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.85  | |           e3)
% 185.38/29.85  | | 
% 185.38/29.85  | | BETA: splitting (69) gives:
% 185.38/29.85  | | 
% 185.38/29.85  | | Case 1:
% 185.38/29.85  | | | 
% 185.38/29.85  | | |   (70)  all_56_11 = e3 & op(e1, e0) = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | ALPHA: (70) implies:
% 185.38/29.85  | | |   (71)  all_56_11 = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | BETA: splitting (54) gives:
% 185.38/29.85  | | | 
% 185.38/29.85  | | | Case 1:
% 185.38/29.85  | | | | 
% 185.38/29.85  | | | |   (72)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0,
% 185.38/29.85  | | | |             e2) = e2)
% 185.38/29.85  | | | | 
% 185.38/29.85  | | | | BETA: splitting (72) gives:
% 185.38/29.85  | | | | 
% 185.38/29.85  | | | | Case 1:
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | |   (73)  all_56_12 = e2 & op(e0, e3) = e2
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | | REF_CLOSE: (9), (18), (23), (29), (38), (41), (43), (53), (56), (60),
% 185.38/29.85  | | | | |            (73) are inconsistent by sub-proof #508.
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | Case 2:
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | |   (74)  all_56_13 = e2 & op(e0, e2) = e2
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | | ALPHA: (74) implies:
% 185.38/29.85  | | | | |   (75)  all_56_13 = e2
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | | BETA: splitting (46) gives:
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | | Case 1:
% 185.38/29.85  | | | | | | 
% 185.38/29.85  | | | | | |   (76)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 &
% 185.38/29.85  | | | | | |           op(e0, e2) = e3)
% 185.38/29.85  | | | | | | 
% 185.38/29.85  | | | | | | BETA: splitting (76) gives:
% 185.38/29.85  | | | | | | 
% 185.38/29.85  | | | | | | Case 1:
% 185.38/29.85  | | | | | | | 
% 185.38/29.85  | | | | | | |   (77)  all_56_12 = e3 & op(e0, e3) = e3
% 185.38/29.85  | | | | | | | 
% 185.38/29.85  | | | | | | | ALPHA: (77) implies:
% 185.38/29.85  | | | | | | |   (78)  all_56_12 = e3
% 185.38/29.85  | | | | | | |   (79)  op(e0, e3) = e3
% 185.38/29.85  | | | | | | | 
% 185.38/29.85  | | | | | | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (11), (14), (15), (16),
% 185.38/29.85  | | | | | | |            (17), (20), (21), (23), (24), (25), (28), (29), (30),
% 185.38/29.85  | | | | | | |            (31), (32), (34), (35), (38), (42), (43), (44), (45),
% 185.38/29.85  | | | | | | |            (49), (50), (53), (54), (57), (58), (59), (60), (78),
% 185.38/29.85  | | | | | | |            (79) are inconsistent by sub-proof #581.
% 185.38/29.85  | | | | | | | 
% 185.38/29.85  | | | | | | Case 2:
% 185.38/29.85  | | | | | | | 
% 185.38/29.85  | | | | | | |   (80)  all_56_13 = e3 & op(e0, e2) = e3
% 185.38/29.85  | | | | | | | 
% 185.38/29.85  | | | | | | | REF_CLOSE: (38), (75), (80) are inconsistent by sub-proof #760.
% 185.38/29.85  | | | | | | | 
% 185.38/29.85  | | | | | | End of split
% 185.38/29.85  | | | | | | 
% 185.38/29.85  | | | | | Case 2:
% 185.38/29.85  | | | | | | 
% 185.38/29.85  | | | | | |   (81)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 &
% 185.38/29.85  | | | | | |           op(e0, e0) = e3)
% 185.38/29.85  | | | | | | 
% 185.38/29.85  | | | | | | BETA: splitting (81) gives:
% 185.38/29.85  | | | | | | 
% 185.38/29.85  | | | | | | Case 1:
% 185.38/29.85  | | | | | | | 
% 185.38/29.85  | | | | | | |   (82)  all_56_14 = e3 & op(e0, e1) = e3
% 185.38/29.85  | | | | | | | 
% 185.38/29.85  | | | | | | | ALPHA: (82) implies:
% 185.38/29.85  | | | | | | |   (83)  all_56_14 = e3
% 185.38/29.85  | | | | | | | 
% 185.38/29.85  | | | | | | | COMBINE_EQS: (56), (83) imply:
% 185.38/29.85  | | | | | | |   (84)  e3 = e0
% 185.38/29.85  | | | | | | | 
% 185.38/29.85  | | | | | | | COMBINE_EQS: (71), (84) imply:
% 185.38/29.85  | | | | | | |   (85)  all_56_11 = e0
% 185.38/29.85  | | | | | | | 
% 185.38/29.85  | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (10), (11), (13),
% 185.38/29.85  | | | | | | |            (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 185.38/29.85  | | | | | | |            (24), (25), (27), (29), (30), (32), (33), (35), (37),
% 185.38/29.85  | | | | | | |            (38), (40), (42), (43), (44), (47), (48), (50), (51),
% 185.38/29.85  | | | | | | |            (53), (54), (57), (58), (59), (60), (85) are
% 185.38/29.85  | | | | | | |            inconsistent by sub-proof #506.
% 185.38/29.85  | | | | | | | 
% 185.38/29.85  | | | | | | Case 2:
% 185.38/29.85  | | | | | | | 
% 185.38/29.85  | | | | | | |   (86)  all_56_15 = e3 & op(e0, e0) = e3
% 185.38/29.85  | | | | | | | 
% 185.38/29.85  | | | | | | | ALPHA: (86) implies:
% 185.38/29.85  | | | | | | |   (87)  op(e0, e0) = e3
% 185.38/29.85  | | | | | | | 
% 185.38/29.85  | | | | | | | REF_CLOSE: (1), (4), (7), (11), (13), (19), (22), (23), (24),
% 185.38/29.85  | | | | | | |            (25), (29), (33), (36), (37), (38), (47), (48), (52),
% 185.38/29.85  | | | | | | |            (53), (55), (60), (71), (87) are inconsistent by
% 185.38/29.85  | | | | | | |            sub-proof #537.
% 185.38/29.85  | | | | | | | 
% 185.38/29.85  | | | | | | End of split
% 185.38/29.85  | | | | | | 
% 185.38/29.85  | | | | | End of split
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | End of split
% 185.38/29.85  | | | | 
% 185.38/29.85  | | | Case 2:
% 185.38/29.85  | | | | 
% 185.38/29.85  | | | |   (88)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 185.38/29.85  | | | |             e0) = e2)
% 185.38/29.85  | | | | 
% 185.38/29.85  | | | | BETA: splitting (88) gives:
% 185.38/29.85  | | | | 
% 185.38/29.85  | | | | Case 1:
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | |   (89)  all_56_14 = e2 & op(e0, e1) = e2
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | | ALPHA: (89) implies:
% 185.38/29.85  | | | | |   (90)  all_56_14 = e2
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | | REF_CLOSE: (7), (8), (17), (18), (21), (23), (29), (30), (32), (38),
% 185.38/29.85  | | | | |            (39), (43), (53), (57), (60), (90) are inconsistent by
% 185.38/29.85  | | | | |            sub-proof #582.
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | Case 2:
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | |   (91)  all_56_15 = e2 & op(e0, e0) = e2
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | | ALPHA: (91) implies:
% 185.38/29.85  | | | | |   (92)  op(e0, e0) = e2
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | | REF_CLOSE: (1), (25), (29), (92) are inconsistent by sub-proof #1511.
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | End of split
% 185.38/29.85  | | | | 
% 185.38/29.85  | | | End of split
% 185.38/29.85  | | | 
% 185.38/29.85  | | Case 2:
% 185.38/29.85  | | | 
% 185.38/29.85  | | |   (93)  all_56_15 = e3 & op(e0, e0) = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | ALPHA: (93) implies:
% 185.38/29.85  | | |   (94)  op(e0, e0) = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | REF_CLOSE: (10), (11), (29), (94) are inconsistent by sub-proof #1540.
% 185.38/29.85  | | | 
% 185.38/29.85  | | End of split
% 185.38/29.85  | | 
% 185.38/29.85  | End of split
% 185.38/29.85  | 
% 185.38/29.85  End of proof
% 185.38/29.85  
% 185.38/29.85  Sub-proof #506 shows that the following formulas are inconsistent:
% 185.38/29.85  ----------------------------------------------------------------
% 185.38/29.85    (1)  op(e0, e0) = all_6_2
% 185.38/29.85    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.38/29.85         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.38/29.85    (3)   ~ (all_4_2 = e0)
% 185.38/29.85    (4)   ~ (all_6_2 = e1)
% 185.38/29.85    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.85         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.85    (6)   ~ (e1 = e0)
% 185.38/29.85    (7)   ~ (all_52_9 = e0)
% 185.38/29.85    (8)  op(e0, e0) = e0
% 185.38/29.85    (9)   ~ (e3 = e0)
% 185.38/29.85    (10)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.38/29.85          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.85    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.85          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.85    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.38/29.85          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.38/29.85    (13)  op(e2, e1) = all_52_9
% 185.38/29.85    (14)  all_56_5 = e3
% 185.38/29.85    (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.85          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.85    (16)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.85          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.38/29.85    (17)  all_56_2 = e0
% 185.38/29.85    (18)   ~ (all_52_6 = e0)
% 185.38/29.85    (19)   ~ (e2 = e0)
% 185.38/29.85    (20)   ~ (e3 = e1)
% 185.38/29.85    (21)   ~ (all_6_2 = e2)
% 185.38/29.85    (22)  all_56_9 = e0
% 185.38/29.85    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.85            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.85    (24)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.38/29.85          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.85    (25)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.85          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.85    (26)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.85          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.85    (27)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.85          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.85            e1)
% 185.38/29.85    (28)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.38/29.85          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.38/29.85    (29)   ~ (e3 = e2)
% 185.38/29.85    (30)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.38/29.85          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.38/29.85    (31)  op(e3, e3) = all_4_2
% 185.38/29.85    (32)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.85          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.85    (33)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.38/29.85          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.38/29.85    (34)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.85          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.85    (35)  op(e1, e2) = all_52_6
% 185.38/29.85    (36)  all_56_11 = e0
% 185.38/29.85    (37)  op(e3, e3) = e3
% 185.38/29.85    (38)  op(e2, e1) = e3
% 185.38/29.85    (39)   ~ (e2 = e1)
% 185.38/29.85    (40)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.85          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.38/29.85            e2)
% 185.38/29.85    (41)  op(e2, e2) = e0
% 185.38/29.85    (42)   ~ (all_4_2 = e1)
% 185.38/29.85    (43)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.38/29.85          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.38/29.85    (44)  op(e1, e1) = e1
% 185.38/29.85  
% 185.38/29.85  Begin of proof
% 185.38/29.85  | 
% 185.38/29.85  | BETA: splitting (30) gives:
% 185.38/29.85  | 
% 185.38/29.85  | Case 1:
% 185.38/29.85  | | 
% 185.38/29.85  | |   (45)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.38/29.85  | |           e3)
% 185.38/29.85  | | 
% 185.38/29.85  | | BETA: splitting (45) gives:
% 185.38/29.85  | | 
% 185.38/29.85  | | Case 1:
% 185.38/29.85  | | | 
% 185.38/29.85  | | |   (46)  all_56_9 = e3 & op(e3, e0) = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | ALPHA: (46) implies:
% 185.38/29.85  | | |   (47)  all_56_9 = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | REF_CLOSE: (9), (22), (47) are inconsistent by sub-proof #510.
% 185.38/29.85  | | | 
% 185.38/29.85  | | Case 2:
% 185.38/29.85  | | | 
% 185.38/29.85  | | |   (48)  all_56_10 = e3 & op(e2, e0) = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | ALPHA: (48) implies:
% 185.38/29.85  | | |   (49)  all_56_10 = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | BETA: splitting (34) gives:
% 185.38/29.85  | | | 
% 185.38/29.85  | | | Case 1:
% 185.38/29.85  | | | | 
% 185.38/29.85  | | | |   (50)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2)
% 185.38/29.85  | | | |           = e3)
% 185.38/29.85  | | | | 
% 185.38/29.85  | | | | BETA: splitting (50) gives:
% 185.38/29.85  | | | | 
% 185.38/29.85  | | | | Case 1:
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | |   (51)  all_56_6 = e3 & op(e1, e3) = e3
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | | ALPHA: (51) implies:
% 185.38/29.85  | | | | |   (52)  all_56_6 = e3
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | | REF_CLOSE: (2), (5), (6), (7), (9), (11), (12), (13), (16), (17),
% 185.38/29.85  | | | | |            (19), (20), (23), (24), (25), (26), (29), (31), (32), (33),
% 185.38/29.85  | | | | |            (36), (37), (39), (41), (42), (44), (52) are inconsistent
% 185.38/29.85  | | | | |            by sub-proof #598.
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | Case 2:
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | |   (53)  all_56_7 = e3 & op(e1, e2) = e3
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | | ALPHA: (53) implies:
% 185.38/29.85  | | | | |   (54)  all_56_7 = e3
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12),
% 185.38/29.85  | | | | |            (13), (14), (15), (16), (18), (19), (20), (21), (23), (24),
% 185.38/29.85  | | | | |            (25), (26), (27), (28), (29), (31), (32), (33), (34), (35),
% 185.38/29.85  | | | | |            (37), (38), (39), (40), (41), (42), (43), (44), (49), (54)
% 185.38/29.85  | | | | |            are inconsistent by sub-proof #542.
% 185.38/29.85  | | | | | 
% 185.38/29.85  | | | | End of split
% 185.38/29.85  | | | | 
% 185.38/29.85  | | | Case 2:
% 185.38/29.85  | | | | 
% 185.38/29.85  | | | |   (55)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0)
% 185.38/29.85  | | | |           = e3)
% 185.38/29.85  | | | | 
% 185.38/29.85  | | | | REF_CLOSE: (9), (20), (23), (36), (44), (55) are inconsistent by
% 185.38/29.85  | | | |            sub-proof #507.
% 185.38/29.85  | | | | 
% 185.38/29.85  | | | End of split
% 185.38/29.85  | | | 
% 185.38/29.85  | | End of split
% 185.38/29.85  | | 
% 185.38/29.85  | Case 2:
% 185.38/29.85  | | 
% 185.38/29.85  | |   (56)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.85  | |           e3)
% 185.38/29.85  | | 
% 185.38/29.85  | | BETA: splitting (56) gives:
% 185.38/29.85  | | 
% 185.38/29.85  | | Case 1:
% 185.38/29.85  | | | 
% 185.38/29.85  | | |   (57)  all_56_11 = e3 & op(e1, e0) = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | ALPHA: (57) implies:
% 185.38/29.85  | | |   (58)  all_56_11 = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | REF_CLOSE: (9), (36), (58) are inconsistent by sub-proof #1163.
% 185.38/29.85  | | | 
% 185.38/29.85  | | Case 2:
% 185.38/29.85  | | | 
% 185.38/29.85  | | |   (59)  all_56_15 = e3 & op(e0, e0) = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | ALPHA: (59) implies:
% 185.38/29.85  | | |   (60)  op(e0, e0) = e3
% 185.38/29.85  | | | 
% 185.38/29.85  | | | REF_CLOSE: (8), (9), (23), (60) are inconsistent by sub-proof #1540.
% 185.38/29.85  | | | 
% 185.38/29.85  | | End of split
% 185.38/29.85  | | 
% 185.38/29.85  | End of split
% 185.38/29.85  | 
% 185.38/29.85  End of proof
% 185.38/29.85  
% 185.38/29.85  Sub-proof #507 shows that the following formulas are inconsistent:
% 185.38/29.85  ----------------------------------------------------------------
% 185.38/29.85    (1)   ~ (e3 = e0)
% 185.38/29.85    (2)   ~ (e3 = e1)
% 185.38/29.85    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.85           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.85    (4)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.85    (5)  all_56_11 = e0
% 185.38/29.86    (6)  op(e1, e1) = e1
% 185.38/29.86  
% 185.38/29.86  Begin of proof
% 185.38/29.86  | 
% 185.38/29.86  | BETA: splitting (4) gives:
% 185.38/29.86  | 
% 185.38/29.86  | Case 1:
% 185.38/29.86  | | 
% 185.38/29.86  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 185.38/29.86  | | 
% 185.38/29.86  | | ALPHA: (7) implies:
% 185.38/29.86  | |   (8)  op(e1, e1) = e3
% 185.38/29.86  | | 
% 185.38/29.86  | | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #1541.
% 185.38/29.86  | | 
% 185.38/29.86  | Case 2:
% 185.38/29.86  | | 
% 185.38/29.86  | |   (9)  all_56_11 = e3 & op(e1, e0) = e3
% 185.38/29.86  | | 
% 185.38/29.86  | | REF_CLOSE: (1), (5), (9) are inconsistent by sub-proof #651.
% 185.38/29.86  | | 
% 185.38/29.86  | End of split
% 185.38/29.86  | 
% 185.38/29.86  End of proof
% 185.38/29.86  
% 185.38/29.86  Sub-proof #508 shows that the following formulas are inconsistent:
% 185.38/29.86  ----------------------------------------------------------------
% 185.38/29.86    (1)  all_56_4 = e2
% 185.38/29.86    (2)  all_56_5 = e3
% 185.38/29.86    (3)   ~ (e2 = e0)
% 185.38/29.86    (4)  all_56_12 = e2 & op(e0, e3) = e2
% 185.38/29.86    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.86           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.86    (6)   ~ (e3 = e2)
% 185.38/29.86    (7)  all_56_12 = e1
% 185.38/29.86    (8)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.86         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.86    (9)   ~ (e2 = e1)
% 185.38/29.86    (10)  all_56_14 = e0
% 185.38/29.86    (11)  op(e1, e1) = e1
% 185.38/29.86  
% 185.38/29.86  Begin of proof
% 185.38/29.86  | 
% 185.38/29.86  | ALPHA: (4) implies:
% 185.38/29.86  |   (12)  all_56_12 = e2
% 185.38/29.86  | 
% 185.38/29.86  | COMBINE_EQS: (7), (12) imply:
% 185.38/29.86  |   (13)  e2 = e1
% 185.38/29.86  | 
% 185.38/29.86  | COMBINE_EQS: (1), (13) imply:
% 185.38/29.86  |   (14)  all_56_4 = e1
% 185.38/29.86  | 
% 185.38/29.86  | REF_CLOSE: (2), (3), (5), (6), (8), (9), (10), (11), (14) are inconsistent by
% 185.38/29.86  |            sub-proof #1471.
% 185.38/29.86  | 
% 185.38/29.86  End of proof
% 185.38/29.86  
% 185.38/29.86  Sub-proof #509 shows that the following formulas are inconsistent:
% 185.38/29.86  ----------------------------------------------------------------
% 185.38/29.86    (1)   ~ (e3 = e0)
% 185.38/29.86    (2)  op(e0, e3) = e1
% 185.38/29.86    (3)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.86         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.86    (4)  all_56_0 = e1
% 185.38/29.86    (5)  all_56_2 = e0
% 185.38/29.86    (6)   ~ (e2 = e0)
% 185.38/29.86    (7)   ~ (e3 = e1)
% 185.38/29.86    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.38/29.86         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.38/29.86    (9)  op(e0, e3) = all_52_3
% 185.38/29.86    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.86            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.86    (11)   ~ (e3 = e2)
% 185.38/29.86    (12)  all_56_12 = e1
% 185.38/29.86    (13)   ~ (e2 = e1)
% 185.38/29.86  
% 185.38/29.86  Begin of proof
% 185.38/29.86  | 
% 185.38/29.86  | BETA: splitting (3) gives:
% 185.38/29.86  | 
% 185.38/29.86  | Case 1:
% 185.38/29.86  | | 
% 185.38/29.86  | |   (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 185.38/29.86  | |           e2)
% 185.38/29.86  | | 
% 185.38/29.86  | | BETA: splitting (14) gives:
% 185.38/29.86  | | 
% 185.38/29.86  | | Case 1:
% 185.38/29.86  | | | 
% 185.38/29.86  | | |   (15)  all_56_0 = e2 & op(e3, e3) = e2
% 185.38/29.86  | | | 
% 185.38/29.86  | | | REF_CLOSE: (4), (13), (15) are inconsistent by sub-proof #950.
% 185.38/29.86  | | | 
% 185.38/29.86  | | Case 2:
% 185.38/29.86  | | | 
% 185.38/29.86  | | |   (16)  all_56_2 = e2 & op(e2, e3) = e2
% 185.38/29.86  | | | 
% 185.38/29.86  | | | REF_CLOSE: (5), (6), (16) are inconsistent by sub-proof #638.
% 185.38/29.86  | | | 
% 185.38/29.86  | | End of split
% 185.38/29.86  | | 
% 185.38/29.86  | Case 2:
% 185.38/29.86  | | 
% 185.38/29.86  | |   (17)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 185.38/29.86  | |           e2)
% 185.38/29.86  | | 
% 185.38/29.86  | | BETA: splitting (17) gives:
% 185.38/29.86  | | 
% 185.38/29.86  | | Case 1:
% 185.38/29.86  | | | 
% 185.38/29.86  | | |   (18)  all_56_6 = e2 & op(e1, e3) = e2
% 185.38/29.86  | | | 
% 185.38/29.86  | | | ALPHA: (18) implies:
% 185.38/29.86  | | |   (19)  all_56_6 = e2
% 185.38/29.86  | | | 
% 185.38/29.86  | | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (11), (19) are
% 185.38/29.86  | | |            inconsistent by sub-proof #866.
% 185.38/29.86  | | | 
% 185.38/29.86  | | Case 2:
% 185.38/29.86  | | | 
% 185.38/29.86  | | |   (20)  all_56_12 = e2 & op(e0, e3) = e2
% 185.38/29.86  | | | 
% 185.38/29.86  | | | ALPHA: (20) implies:
% 185.38/29.86  | | |   (21)  all_56_12 = e2
% 185.38/29.86  | | | 
% 185.38/29.86  | | | REF_CLOSE: (12), (13), (21) are inconsistent by sub-proof #1383.
% 185.38/29.86  | | | 
% 185.38/29.86  | | End of split
% 185.38/29.86  | | 
% 185.38/29.86  | End of split
% 185.38/29.86  | 
% 185.38/29.86  End of proof
% 185.38/29.86  
% 185.38/29.86  Sub-proof #510 shows that the following formulas are inconsistent:
% 185.38/29.86  ----------------------------------------------------------------
% 185.38/29.86    (1)  all_56_9 = e3
% 185.38/29.86    (2)  all_56_9 = e0
% 185.38/29.86    (3)   ~ (e3 = e0)
% 185.38/29.86  
% 185.38/29.86  Begin of proof
% 185.38/29.86  | 
% 185.38/29.86  | COMBINE_EQS: (1), (2) imply:
% 185.38/29.86  |   (4)  e3 = e0
% 185.38/29.86  | 
% 185.38/29.86  | SIMP: (4) implies:
% 185.38/29.86  |   (5)  e3 = e0
% 185.38/29.86  | 
% 185.38/29.86  | REDUCE: (3), (5) imply:
% 185.38/29.86  |   (6)  $false
% 185.38/29.86  | 
% 185.38/29.86  | CLOSE: (6) is inconsistent.
% 185.38/29.86  | 
% 185.38/29.86  End of proof
% 185.38/29.86  
% 185.38/29.86  Sub-proof #511 shows that the following formulas are inconsistent:
% 185.38/29.86  ----------------------------------------------------------------
% 185.38/29.86    (1)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.86    (2)   ~ (all_52_14 = e0)
% 185.38/29.86    (3)   ~ (e1 = e0)
% 185.38/29.86    (4)  op(e1, e0) = all_52_14
% 185.38/29.86    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.86           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.86    (6)  op(e1, e1) = e1
% 185.38/29.86  
% 185.38/29.86  Begin of proof
% 185.38/29.86  | 
% 185.38/29.86  | BETA: splitting (1) gives:
% 185.38/29.86  | 
% 185.38/29.86  | Case 1:
% 185.38/29.86  | | 
% 185.38/29.86  | |   (7)  all_56_8 = e0 & op(e1, e1) = e0
% 185.38/29.86  | | 
% 185.38/29.86  | | ALPHA: (7) implies:
% 185.38/29.86  | |   (8)  op(e1, e1) = e0
% 185.38/29.86  | | 
% 185.38/29.86  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1619.
% 185.38/29.86  | | 
% 185.38/29.86  | Case 2:
% 185.38/29.86  | | 
% 185.38/29.86  | |   (9)  all_56_11 = e0 & op(e1, e0) = e0
% 185.38/29.86  | | 
% 185.38/29.86  | | ALPHA: (9) implies:
% 185.38/29.86  | |   (10)  op(e1, e0) = e0
% 185.38/29.86  | | 
% 185.38/29.86  | | REF_CLOSE: (2), (4), (5), (10) are inconsistent by sub-proof #1318.
% 185.38/29.86  | | 
% 185.38/29.86  | End of split
% 185.38/29.86  | 
% 185.38/29.86  End of proof
% 185.38/29.86  
% 185.38/29.86  Sub-proof #512 shows that the following formulas are inconsistent:
% 185.38/29.86  ----------------------------------------------------------------
% 185.38/29.86    (1)  all_56_6 = e0
% 185.38/29.86    (2)  all_56_0 = e3
% 185.38/29.86    (3)  all_56_2 = e2
% 185.38/29.86    (4)   ~ (e3 = e0)
% 185.38/29.86    (5)  op(e0, e3) = e1
% 185.38/29.86    (6)   ~ (e3 = e1)
% 185.38/29.86    (7)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.38/29.86         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.38/29.86    (8)  op(e0, e3) = all_52_3
% 185.38/29.86    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.86           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.86    (10)   ~ (e3 = e2)
% 185.38/29.86    (11)  e3 = e1
% 185.38/29.86  
% 185.38/29.86  Begin of proof
% 185.38/29.86  | 
% 185.38/29.86  | SIMP: (11) implies:
% 185.38/29.86  |   (12)  e3 = e1
% 185.38/29.86  | 
% 185.38/29.86  | COMBINE_EQS: (2), (12) imply:
% 185.38/29.86  |   (13)  all_56_0 = e1
% 185.38/29.86  | 
% 185.38/29.86  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (13) are inconsistent
% 185.38/29.86  |            by sub-proof #738.
% 185.38/29.86  | 
% 185.38/29.86  End of proof
% 185.38/29.86  
% 185.38/29.86  Sub-proof #513 shows that the following formulas are inconsistent:
% 185.38/29.86  ----------------------------------------------------------------
% 185.38/29.86    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.86           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.86    (2)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 185.38/29.86             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.38/29.86           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.38/29.86             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 185.38/29.86           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 185.38/29.86           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 185.38/29.86           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 185.38/29.86           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 185.38/29.86           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 185.38/29.86           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.38/29.86             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 185.38/29.86           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.38/29.86           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 185.38/29.86    (3)   ~ (e3 = e2)
% 185.38/29.86    (4)  op(e2, e1) = e3
% 185.38/29.86    (5)  op(e2, e2) = e0
% 185.38/29.86  
% 185.38/29.86  Begin of proof
% 185.38/29.86  | 
% 185.38/29.86  | BETA: splitting (2) gives:
% 185.38/29.86  | 
% 185.38/29.86  | Case 1:
% 185.38/29.86  | | 
% 185.38/29.86  | |   (6)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4
% 185.38/29.86  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 185.38/29.86  | |          e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 &
% 185.38/29.86  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 185.38/29.86  | |        all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 185.38/29.86  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 185.38/29.86  | |        $i(all_57_21) & $i(all_57_29)
% 185.38/29.86  | | 
% 185.38/29.86  | | ALPHA: (6) implies:
% 185.38/29.86  | |   (7)  op(e2, e1) = e2
% 185.38/29.86  | | 
% 185.38/29.86  | | REF_CLOSE: (1), (3), (4), (7) are inconsistent by sub-proof #1297.
% 185.38/29.86  | | 
% 185.38/29.86  | Case 2:
% 185.38/29.86  | | 
% 185.38/29.86  | |   (8)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4
% 185.38/29.86  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 =
% 185.38/29.86  | |          e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20) = all_57_6 &
% 185.38/29.86  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 185.38/29.86  | |        all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) =
% 185.38/29.86  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_19) &
% 185.38/29.86  | |        $i(all_57_20) & $i(all_57_29)
% 185.38/29.86  | | 
% 185.38/29.86  | | ALPHA: (8) implies:
% 185.38/29.86  | |   (9)   ~ (all_57_29 = e0)
% 185.38/29.86  | |   (10)  op(e2, e2) = all_57_29
% 185.38/29.86  | | 
% 185.38/29.86  | | REF_CLOSE: (1), (5), (9), (10) are inconsistent by sub-proof #1334.
% 185.38/29.86  | | 
% 185.38/29.86  | End of split
% 185.38/29.86  | 
% 185.38/29.86  End of proof
% 185.38/29.86  
% 185.38/29.86  Sub-proof #514 shows that the following formulas are inconsistent:
% 185.38/29.86  ----------------------------------------------------------------
% 185.38/29.86    (1)  all_56_10 = e3
% 185.38/29.86    (2)  op(e2, e1) = e1
% 185.38/29.86    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.86           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.86    (4)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.86    (5)   ~ (e3 = e2)
% 185.38/29.86    (6)   ~ (e2 = e1)
% 185.38/29.86  
% 185.38/29.86  Begin of proof
% 185.38/29.86  | 
% 185.38/29.86  | BETA: splitting (4) gives:
% 185.38/29.86  | 
% 185.38/29.86  | Case 1:
% 185.38/29.86  | | 
% 185.38/29.86  | |   (7)  all_56_5 = e2 & op(e2, e1) = e2
% 185.38/29.86  | | 
% 185.38/29.86  | | ALPHA: (7) implies:
% 185.38/29.86  | |   (8)  op(e2, e1) = e2
% 185.38/29.86  | | 
% 185.38/29.86  | | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #1148.
% 185.38/29.86  | | 
% 185.38/29.86  | Case 2:
% 185.38/29.86  | | 
% 185.38/29.86  | |   (9)  all_56_10 = e2 & op(e2, e0) = e2
% 185.38/29.86  | | 
% 185.38/29.86  | | ALPHA: (9) implies:
% 185.38/29.86  | |   (10)  all_56_10 = e2
% 185.38/29.86  | | 
% 185.38/29.86  | | REF_CLOSE: (1), (5), (10) are inconsistent by sub-proof #958.
% 185.38/29.86  | | 
% 185.38/29.86  | End of split
% 185.38/29.86  | 
% 185.38/29.86  End of proof
% 185.38/29.86  
% 185.38/29.86  Sub-proof #515 shows that the following formulas are inconsistent:
% 185.38/29.86  ----------------------------------------------------------------
% 185.38/29.86    (1)  op(e0, e0) = all_6_2
% 185.38/29.86    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.38/29.86         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.38/29.86    (3)  all_56_10 = e3
% 185.38/29.86    (4)  all_56_6 = e0
% 185.38/29.86    (5)  op(e1, e1) = e3
% 185.38/29.86    (6)   ~ (e1 = e0)
% 185.38/29.86    (7)  all_56_2 = e2
% 185.38/29.86    (8)   ~ (e3 = e0)
% 185.38/29.86    (9)  op(e2, e1) = e1
% 185.38/29.86    (10)   ~ (e3 = e1)
% 185.38/29.86    (11)   ~ (all_6_2 = e2)
% 185.38/29.86    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.86            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.86    (13)  all_56_3 = e0
% 185.38/29.86    (14)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.38/29.86          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.38/29.86    (15)   ~ (e3 = e2)
% 185.38/29.86    (16)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.38/29.86          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.38/29.86    (17)  all_56_9 = e1
% 185.38/29.86    (18)   ~ (e2 = e1)
% 185.38/29.86    (19)  all_56_7 = e3
% 185.38/29.86  
% 185.38/29.86  Begin of proof
% 185.38/29.86  | 
% 185.38/29.86  | BETA: splitting (2) gives:
% 185.38/29.86  | 
% 185.38/29.86  | Case 1:
% 185.38/29.86  | | 
% 185.38/29.86  | |   (20)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 185.38/29.86  | |           e1)
% 185.38/29.86  | | 
% 185.38/29.86  | | BETA: splitting (20) gives:
% 185.38/29.86  | | 
% 185.38/29.86  | | Case 1:
% 185.38/29.86  | | | 
% 185.38/29.86  | | |   (21)  all_56_6 = e1 & op(e1, e3) = e1
% 185.38/29.86  | | | 
% 185.38/29.86  | | | REF_CLOSE: (4), (6), (21) are inconsistent by sub-proof #1522.
% 185.38/29.86  | | | 
% 185.38/29.86  | | Case 2:
% 185.38/29.86  | | | 
% 185.38/29.86  | | |   (22)  all_56_7 = e1 & op(e1, e2) = e1
% 185.38/29.86  | | | 
% 185.38/29.86  | | | ALPHA: (22) implies:
% 185.38/29.86  | | |   (23)  all_56_7 = e1
% 185.38/29.86  | | | 
% 185.38/29.86  | | | COMBINE_EQS: (19), (23) imply:
% 185.38/29.86  | | |   (24)  e3 = e1
% 185.38/29.86  | | | 
% 185.38/29.86  | | | COMBINE_EQS: (3), (24) imply:
% 185.38/29.86  | | |   (25)  all_56_10 = e1
% 185.38/29.86  | | | 
% 185.38/29.86  | | | REF_CLOSE: (7), (8), (9), (10), (12), (13), (15), (16), (25) are
% 185.38/29.86  | | |            inconsistent by sub-proof #787.
% 185.38/29.86  | | | 
% 185.38/29.86  | | End of split
% 185.38/29.86  | | 
% 185.38/29.86  | Case 2:
% 185.38/29.86  | | 
% 185.38/29.86  | |   (26)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 185.38/29.86  | |           e1)
% 185.38/29.86  | | 
% 185.38/29.86  | | BETA: splitting (26) gives:
% 185.38/29.86  | | 
% 185.38/29.86  | | Case 1:
% 185.38/29.86  | | | 
% 185.38/29.86  | | |   (27)  all_56_8 = e1 & op(e1, e1) = e1
% 185.38/29.86  | | | 
% 185.38/29.86  | | | ALPHA: (27) implies:
% 185.38/29.86  | | |   (28)  op(e1, e1) = e1
% 185.38/29.86  | | | 
% 185.38/29.86  | | | REF_CLOSE: (5), (10), (12), (28) are inconsistent by sub-proof #1541.
% 185.38/29.86  | | | 
% 185.38/29.86  | | Case 2:
% 185.38/29.86  | | | 
% 185.38/29.86  | | |   (29)  all_56_11 = e1 & op(e1, e0) = e1
% 185.38/29.86  | | | 
% 185.38/29.86  | | | ALPHA: (29) implies:
% 185.38/29.86  | | |   (30)  all_56_11 = e1
% 185.38/29.86  | | | 
% 185.38/29.86  | | | REF_CLOSE: (1), (3), (11), (12), (14), (15), (17), (18), (30) are
% 185.38/29.86  | | |            inconsistent by sub-proof #954.
% 185.38/29.86  | | | 
% 185.38/29.86  | | End of split
% 185.38/29.86  | | 
% 185.38/29.86  | End of split
% 185.38/29.86  | 
% 185.38/29.86  End of proof
% 185.38/29.86  
% 185.38/29.86  Sub-proof #516 shows that the following formulas are inconsistent:
% 185.38/29.86  ----------------------------------------------------------------
% 185.38/29.86    (1)  all_54_6 = all_52_9
% 185.38/29.86    (2)   ~ (all_52_11 = e1)
% 185.38/29.86    (3)  op(e2, e1) = e2
% 185.38/29.86    (4)   ~ (all_52_9 = e0)
% 185.38/29.86    (5)  op(e2, e1) = all_52_9
% 185.38/29.86    (6)   ~ (all_52_7 = e1)
% 185.38/29.86    (7)  all_54_13 = all_52_7
% 185.38/29.86    (8)   ~ (all_52_7 = e0)
% 185.38/29.86    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.86           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.86    (10)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 185.38/29.86    (11)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.38/29.86    (12)   ~ (all_52_9 = all_52_11)
% 185.38/29.86    (13)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 185.38/29.86    (14)   ~ (all_52_7 = e2)
% 185.38/29.86    (15)   ~ (all_52_11 = e0)
% 185.38/29.86    (16)  all_54_14 = all_52_11
% 185.38/29.86    (17)   ~ (all_52_7 = all_52_11)
% 185.38/29.86  
% 185.38/29.86  Begin of proof
% 185.38/29.86  | 
% 185.38/29.86  | BETA: splitting (11) gives:
% 185.38/29.86  | 
% 185.38/29.86  | Case 1:
% 185.38/29.86  | | 
% 185.38/29.86  | |   (18)  all_54_13 = e3
% 185.38/29.86  | | 
% 185.38/29.86  | | COMBINE_EQS: (7), (18) imply:
% 185.38/29.86  | |   (19)  all_52_7 = e3
% 185.38/29.86  | | 
% 185.38/29.86  | | SIMP: (19) implies:
% 185.38/29.86  | |   (20)  all_52_7 = e3
% 185.38/29.86  | | 
% 185.38/29.86  | | REDUCE: (17), (20) imply:
% 185.38/29.86  | |   (21)   ~ (all_52_11 = e3)
% 185.38/29.86  | | 
% 185.38/29.86  | | SIMP: (21) implies:
% 185.38/29.86  | |   (22)   ~ (all_52_11 = e3)
% 185.38/29.86  | | 
% 185.38/29.86  | | BETA: splitting (13) gives:
% 185.38/29.86  | | 
% 185.38/29.86  | | Case 1:
% 185.38/29.86  | | | 
% 185.38/29.86  | | |   (23)  all_54_14 = e3
% 185.38/29.86  | | | 
% 185.38/29.86  | | | COMBINE_EQS: (16), (23) imply:
% 185.38/29.86  | | |   (24)  all_52_11 = e3
% 185.38/29.86  | | | 
% 185.38/29.86  | | | REDUCE: (22), (24) imply:
% 185.38/29.86  | | |   (25)  $false
% 185.38/29.86  | | | 
% 185.38/29.86  | | | CLOSE: (25) is inconsistent.
% 185.38/29.86  | | | 
% 185.38/29.86  | | Case 2:
% 185.38/29.86  | | | 
% 185.38/29.86  | | |   (26)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 185.38/29.86  | | | 
% 185.38/29.86  | | | REF_CLOSE: (1), (2), (3), (4), (5), (9), (10), (12), (15), (16), (26) are
% 185.38/29.86  | | |            inconsistent by sub-proof #1144.
% 185.38/29.86  | | | 
% 185.38/29.86  | | End of split
% 185.38/29.86  | | 
% 185.38/29.86  | Case 2:
% 185.38/29.86  | | 
% 185.38/29.86  | |   (27)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.38/29.86  | | 
% 185.38/29.86  | | REF_CLOSE: (6), (7), (8), (14), (27) are inconsistent by sub-proof #1116.
% 185.38/29.86  | | 
% 185.38/29.86  | End of split
% 185.38/29.86  | 
% 185.38/29.86  End of proof
% 185.38/29.86  
% 185.38/29.86  Sub-proof #517 shows that the following formulas are inconsistent:
% 185.38/29.86  ----------------------------------------------------------------
% 185.38/29.86    (1)  op(e0, e0) = all_6_2
% 185.38/29.86    (2)   ~ (all_6_2 = e1)
% 185.38/29.86    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.86         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.86    (4)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.86    (5)   ~ (e3 = e0)
% 185.38/29.86    (6)   ~ (e2 = e0)
% 185.38/29.86    (7)   ~ (e3 = e1)
% 185.38/29.86    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.86           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.86    (9)   ~ (e3 = e2)
% 185.38/29.86    (10)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.86          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.86    (11)  all_56_4 = e0
% 185.38/29.86    (12)   ~ (e2 = e1)
% 185.38/29.86    (13)  op(e1, e1) = e1
% 185.38/29.86  
% 185.38/29.86  Begin of proof
% 185.38/29.86  | 
% 185.38/29.86  | BETA: splitting (4) gives:
% 185.38/29.86  | 
% 185.38/29.86  | Case 1:
% 185.38/29.86  | | 
% 185.38/29.86  | |   (14)  all_56_14 = e1 & op(e0, e1) = e1
% 185.38/29.86  | | 
% 185.38/29.86  | | ALPHA: (14) implies:
% 185.38/29.86  | |   (15)  all_56_14 = e1
% 185.38/29.86  | | 
% 185.38/29.86  | | REF_CLOSE: (3), (5), (6), (7), (8), (9), (10), (11), (12), (13), (15) are
% 185.38/29.86  | |            inconsistent by sub-proof #601.
% 185.38/29.86  | | 
% 185.38/29.86  | Case 2:
% 185.38/29.86  | | 
% 185.38/29.86  | |   (16)  all_56_15 = e1 & op(e0, e0) = e1
% 185.38/29.86  | | 
% 185.38/29.86  | | ALPHA: (16) implies:
% 185.38/29.86  | |   (17)  op(e0, e0) = e1
% 185.38/29.86  | | 
% 185.38/29.86  | | REF_CLOSE: (1), (2), (8), (17) are inconsistent by sub-proof #1516.
% 185.38/29.86  | | 
% 185.38/29.86  | End of split
% 185.38/29.86  | 
% 185.38/29.86  End of proof
% 185.38/29.86  
% 185.38/29.86  Sub-proof #518 shows that the following formulas are inconsistent:
% 185.38/29.86  ----------------------------------------------------------------
% 185.38/29.86    (1)  op(e0, e0) = all_6_2
% 185.38/29.86    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.38/29.86         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.38/29.86    (3)   ~ (all_4_2 = e0)
% 185.38/29.86    (4)  all_56_6 = e0
% 185.38/29.86    (5)   ~ (all_6_2 = e1)
% 185.38/29.86    (6)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.86         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.86    (7)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.86         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.86    (8)  all_56_0 = e3
% 185.38/29.86    (9)   ~ (e1 = e0)
% 185.38/29.86    (10)   ~ (all_52_9 = e0)
% 185.38/29.86    (11)  op(e0, e0) = e0
% 185.38/29.86    (12)   ~ (e3 = e0)
% 185.38/29.86    (13)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.38/29.86          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.86    (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.38/29.86          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.86    (15)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.86          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.86    (16)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.38/29.86          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.38/29.86    (17)  op(e2, e1) = all_52_9
% 185.38/29.86    (18)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.86          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.86    (19)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.86          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.38/29.86    (20)  all_56_11 = e3
% 185.38/29.86    (21)   ~ (all_52_6 = e0)
% 185.38/29.86    (22)   ~ (e2 = e0)
% 185.38/29.86    (23)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.86          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.86    (24)   ~ (e3 = e1)
% 185.38/29.86    (25)   ~ (all_52_4 = all_52_7)
% 185.38/29.86    (26)   ~ (all_6_2 = e2)
% 185.38/29.86    (27)  op(e0, e3) = all_52_3
% 185.38/29.86    (28)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.86            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.86    (29)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.38/29.86          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.86    (30)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.38/29.86          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.38/29.86    (31)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.86          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.86    (32)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.86          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.86    (33)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.38/29.86          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.38/29.86    (34)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.86          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.86            e1)
% 185.38/29.86    (35)  op(e2, e0) = all_52_13
% 185.38/29.86    (36)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.38/29.86          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.38/29.86    (37)   ~ (e3 = e2)
% 185.38/29.86    (38)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.38/29.86          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.38/29.86    (39)  op(e3, e3) = all_4_2
% 185.38/29.86    (40)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.86          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.86    (41)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.38/29.86          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.38/29.86    (42)  op(e3, e2) = all_52_4
% 185.38/29.86    (43)  all_56_4 = e0
% 185.38/29.86    (44)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.38/29.86          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.86            e3)
% 185.38/29.86    (45)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.86          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.86    (46)  op(e1, e2) = all_52_6
% 185.38/29.86    (47)   ~ (all_52_4 = e0)
% 185.38/29.86    (48)  op(e3, e3) = e3
% 185.38/29.86    (49)   ~ (all_52_13 = e0)
% 185.38/29.86    (50)   ~ (e2 = e1)
% 185.38/29.86    (51)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.86          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.38/29.86            e2)
% 185.38/29.86    (52)  op(e0, e2) = all_52_7
% 185.38/29.86    (53)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.86              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.38/29.86                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.38/29.86                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.38/29.86    (54)  all_56_7 = e3
% 185.38/29.86    (55)  op(e2, e2) = e0
% 185.38/29.86    (56)   ~ (all_4_2 = e1)
% 185.38/29.86    (57)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.38/29.86          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.38/29.86    (58)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.38/29.86          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.38/29.86    (59)  op(e1, e1) = e1
% 185.38/29.86  
% 185.38/29.86  Begin of proof
% 185.38/29.86  | 
% 185.38/29.86  | BETA: splitting (44) gives:
% 185.38/29.86  | 
% 185.38/29.86  | Case 1:
% 185.38/29.86  | | 
% 185.38/29.86  | |   (60)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 185.38/29.86  | |           e3)
% 185.38/29.86  | | 
% 185.38/29.86  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 185.38/29.86  | |            (14), (15), (16), (17), (18), (19), (21), (22), (23), (24), (25),
% 185.38/29.86  | |            (26), (27), (28), (29), (30), (31), (32), (33), (34), (37), (38),
% 185.38/29.86  | |            (39), (40), (41), (42), (43), (45), (46), (47), (48), (50), (51),
% 185.38/29.86  | |            (52), (54), (55), (56), (57), (59), (60) are inconsistent by
% 185.38/29.86  | |            sub-proof #565.
% 185.38/29.86  | | 
% 185.38/29.86  | Case 2:
% 185.38/29.86  | | 
% 185.38/29.86  | |   (61)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.86  | |           e3)
% 185.38/29.86  | | 
% 185.38/29.86  | | BETA: splitting (61) gives:
% 185.38/29.86  | | 
% 185.38/29.86  | | Case 1:
% 185.38/29.86  | | | 
% 185.38/29.86  | | |   (62)  all_56_14 = e3 & op(e0, e1) = e3
% 185.38/29.86  | | | 
% 185.38/29.86  | | | ALPHA: (62) implies:
% 185.38/29.86  | | |   (63)  all_56_14 = e3
% 185.38/29.86  | | | 
% 185.38/29.86  | | | BETA: splitting (40) gives:
% 185.38/29.86  | | | 
% 185.38/29.86  | | | Case 1:
% 185.38/29.86  | | | | 
% 185.38/29.86  | | | |   (64)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1)
% 185.38/29.86  | | | |           = e2)
% 185.38/29.86  | | | | 
% 185.38/29.86  | | | | BETA: splitting (64) gives:
% 185.38/29.86  | | | | 
% 185.38/29.86  | | | | Case 1:
% 185.38/29.86  | | | | | 
% 185.38/29.86  | | | | |   (65)  all_56_4 = e2 & op(e3, e1) = e2
% 185.38/29.86  | | | | | 
% 185.38/29.86  | | | | | ALPHA: (65) implies:
% 185.38/29.86  | | | | |   (66)  all_56_4 = e2
% 185.38/29.86  | | | | | 
% 185.38/29.86  | | | | | REF_CLOSE: (22), (43), (66) are inconsistent by sub-proof #1394.
% 185.38/29.86  | | | | | 
% 185.38/29.86  | | | | Case 2:
% 185.38/29.86  | | | | | 
% 185.38/29.86  | | | | |   (67)  all_56_5 = e2 & op(e2, e1) = e2
% 185.38/29.86  | | | | | 
% 185.38/29.86  | | | | | ALPHA: (67) implies:
% 185.38/29.86  | | | | |   (68)  all_56_5 = e2
% 185.38/29.86  | | | | |   (69)  op(e2, e1) = e2
% 185.38/29.86  | | | | | 
% 185.38/29.86  | | | | | BETA: splitting (32) gives:
% 185.38/29.86  | | | | | 
% 185.38/29.86  | | | | | Case 1:
% 185.38/29.86  | | | | | | 
% 185.38/29.86  | | | | | |   (70)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1,
% 185.38/29.86  | | | | | |             e2) = e2)
% 185.38/29.86  | | | | | | 
% 185.38/29.86  | | | | | | REF_CLOSE: (3), (4), (7), (8), (9), (10), (12), (14), (17), (22),
% 185.38/29.86  | | | | | |            (24), (28), (29), (30), (33), (37), (39), (40), (42),
% 185.38/29.86  | | | | | |            (47), (50), (54), (56), (59), (63), (69), (70) are
% 185.38/29.86  | | | | | |            inconsistent by sub-proof #560.
% 185.38/29.86  | | | | | | 
% 185.38/29.86  | | | | | Case 2:
% 185.38/29.86  | | | | | | 
% 185.38/29.86  | | | | | |   (71)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1,
% 185.38/29.86  | | | | | |             e0) = e2)
% 185.38/29.86  | | | | | | 
% 185.38/29.86  | | | | | | BETA: splitting (71) gives:
% 185.38/29.86  | | | | | | 
% 185.38/29.86  | | | | | | Case 1:
% 185.38/29.86  | | | | | | | 
% 185.38/29.86  | | | | | | |   (72)  all_56_8 = e2 & op(e1, e1) = e2
% 185.38/29.86  | | | | | | | 
% 185.38/29.86  | | | | | | | ALPHA: (72) implies:
% 185.38/29.86  | | | | | | |   (73)  op(e1, e1) = e2
% 185.38/29.86  | | | | | | | 
% 185.38/29.86  | | | | | | | REF_CLOSE: (9), (24), (28), (43), (50), (58), (63), (68), (73) are
% 185.38/29.86  | | | | | | |            inconsistent by sub-proof #933.
% 185.38/29.86  | | | | | | | 
% 185.38/29.86  | | | | | | Case 2:
% 185.38/29.86  | | | | | | | 
% 185.38/29.86  | | | | | | |   (74)  all_56_11 = e2 & op(e1, e0) = e2
% 185.38/29.86  | | | | | | | 
% 185.38/29.86  | | | | | | | ALPHA: (74) implies:
% 185.38/29.86  | | | | | | |   (75)  all_56_11 = e2
% 185.38/29.86  | | | | | | | 
% 185.38/29.86  | | | | | | | COMBINE_EQS: (20), (75) imply:
% 185.38/29.86  | | | | | | |   (76)  e3 = e2
% 185.38/29.86  | | | | | | | 
% 185.38/29.86  | | | | | | | SIMP: (76) implies:
% 185.38/29.86  | | | | | | |   (77)  e3 = e2
% 185.38/29.86  | | | | | | | 
% 185.38/29.86  | | | | | | | COMBINE_EQS: (63), (77) imply:
% 185.38/29.86  | | | | | | |   (78)  all_56_14 = e2
% 185.38/29.86  | | | | | | | 
% 185.38/29.86  | | | | | | | REF_CLOSE: (3), (7), (8), (9), (10), (12), (14), (17), (22), (24),
% 185.38/29.86  | | | | | | |            (28), (29), (30), (33), (37), (39), (40), (42), (47),
% 185.38/29.86  | | | | | | |            (50), (56), (59), (69), (78) are inconsistent by
% 185.38/29.86  | | | | | | |            sub-proof #561.
% 185.38/29.86  | | | | | | | 
% 185.38/29.86  | | | | | | End of split
% 185.38/29.86  | | | | | | 
% 185.38/29.86  | | | | | End of split
% 185.38/29.86  | | | | | 
% 185.38/29.86  | | | | End of split
% 185.38/29.86  | | | | 
% 185.38/29.86  | | | Case 2:
% 185.38/29.86  | | | | 
% 185.38/29.86  | | | |   (79)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1)
% 185.38/29.86  | | | |           = e2)
% 185.38/29.86  | | | | 
% 185.38/29.86  | | | | REF_CLOSE: (28), (37), (50), (59), (63), (79) are inconsistent by
% 185.38/29.86  | | | |            sub-proof #1085.
% 185.38/29.86  | | | | 
% 185.38/29.86  | | | End of split
% 185.38/29.86  | | | 
% 185.38/29.86  | | Case 2:
% 185.38/29.86  | | | 
% 185.38/29.86  | | |   (80)  all_56_15 = e3 & op(e0, e0) = e3
% 185.38/29.86  | | | 
% 185.38/29.86  | | | ALPHA: (80) implies:
% 185.38/29.87  | | |   (81)  op(e0, e0) = e3
% 185.38/29.87  | | | 
% 185.38/29.87  | | | REF_CLOSE: (1), (5), (9), (12), (13), (18), (20), (21), (22), (24), (26),
% 185.38/29.87  | | |            (28), (32), (35), (36), (37), (45), (46), (49), (50), (53),
% 185.38/29.87  | | |            (59), (81) are inconsistent by sub-proof #537.
% 185.38/29.87  | | | 
% 185.38/29.87  | | End of split
% 185.38/29.87  | | 
% 185.38/29.87  | End of split
% 185.38/29.87  | 
% 185.38/29.87  End of proof
% 185.38/29.87  
% 185.38/29.87  Sub-proof #519 shows that the following formulas are inconsistent:
% 185.38/29.87  ----------------------------------------------------------------
% 185.38/29.87    (1)  all_56_6 = e0
% 185.38/29.87    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.87         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.87    (3)   ~ (e1 = e0)
% 185.38/29.87    (4)   ~ (all_52_9 = e0)
% 185.38/29.87    (5)   ~ (e3 = e0)
% 185.38/29.87    (6)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.38/29.87         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.87    (7)  op(e2, e1) = all_52_9
% 185.38/29.87    (8)  all_56_11 = e3
% 185.38/29.87    (9)   ~ (e2 = e0)
% 185.38/29.87    (10)   ~ (e3 = e1)
% 185.38/29.87    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.87            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.87    (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.38/29.87          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.87    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.38/29.87          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.38/29.87    (14)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.87          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.87    (15)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.38/29.87          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.38/29.87    (16)  op(e2, e0) = all_52_13
% 185.38/29.87    (17)   ~ (e3 = e2)
% 185.38/29.87    (18)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.38/29.87          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.38/29.87    (19)  op(e3, e3) = all_4_2
% 185.38/29.87    (20)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.87          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.87    (21)  all_56_4 = e0
% 185.38/29.87    (22)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.87          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.87    (23)  op(e3, e3) = e3
% 185.38/29.87    (24)   ~ (all_52_13 = e0)
% 185.38/29.87    (25)   ~ (e2 = e1)
% 185.38/29.87    (26)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 185.38/29.87    (27)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.87              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.38/29.87                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.38/29.87                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.38/29.87    (28)  op(e2, e2) = e0
% 185.38/29.87    (29)   ~ (all_4_2 = e1)
% 185.38/29.87    (30)  op(e1, e1) = e1
% 185.38/29.87  
% 185.38/29.87  Begin of proof
% 185.38/29.87  | 
% 185.38/29.87  | BETA: splitting (26) gives:
% 185.38/29.87  | 
% 185.38/29.87  | Case 1:
% 185.38/29.87  | | 
% 185.38/29.87  | |   (31)  all_56_1 = e3 & op(e3, e2) = e3
% 185.38/29.87  | | 
% 185.38/29.87  | | ALPHA: (31) implies:
% 185.38/29.87  | |   (32)  all_56_1 = e3
% 185.38/29.87  | | 
% 185.38/29.87  | | BETA: splitting (15) gives:
% 185.38/29.87  | | 
% 185.38/29.87  | | Case 1:
% 185.38/29.87  | | | 
% 185.38/29.87  | | |   (33)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 185.38/29.87  | | |           e2)
% 185.38/29.87  | | | 
% 185.38/29.87  | | | REF_CLOSE: (11), (17), (23), (32), (33) are inconsistent by sub-proof
% 185.38/29.87  | | |            #1130.
% 185.38/29.87  | | | 
% 185.38/29.87  | | Case 2:
% 185.38/29.87  | | | 
% 185.38/29.87  | | |   (34)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 185.38/29.87  | | |           e2)
% 185.38/29.87  | | | 
% 185.38/29.87  | | | BETA: splitting (34) gives:
% 185.38/29.87  | | | 
% 185.38/29.87  | | | Case 1:
% 185.38/29.87  | | | | 
% 185.38/29.87  | | | |   (35)  all_56_4 = e2 & op(e3, e1) = e2
% 185.38/29.87  | | | | 
% 185.38/29.87  | | | | ALPHA: (35) implies:
% 185.38/29.87  | | | |   (36)  all_56_4 = e2
% 185.38/29.87  | | | | 
% 185.38/29.87  | | | | REF_CLOSE: (9), (21), (36) are inconsistent by sub-proof #1394.
% 185.38/29.87  | | | | 
% 185.38/29.87  | | | Case 2:
% 185.38/29.87  | | | | 
% 185.38/29.87  | | | |   (37)  all_56_9 = e2 & op(e3, e0) = e2
% 185.38/29.87  | | | | 
% 185.38/29.87  | | | | ALPHA: (37) implies:
% 185.38/29.87  | | | |   (38)  all_56_9 = e2
% 185.38/29.87  | | | | 
% 185.38/29.87  | | | | BETA: splitting (6) gives:
% 185.38/29.87  | | | | 
% 185.38/29.87  | | | | Case 1:
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | |   (39)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2,
% 185.38/29.87  | | | | |             e0) = e1)
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | | BETA: splitting (39) gives:
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | | Case 1:
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | |   (40)  all_56_9 = e1 & op(e3, e0) = e1
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | | ALPHA: (40) implies:
% 185.38/29.87  | | | | | |   (41)  all_56_9 = e1
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | | REF_CLOSE: (9), (11), (15), (17), (21), (23), (25), (32), (41) are
% 185.38/29.87  | | | | | |            inconsistent by sub-proof #1128.
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | Case 2:
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | |   (42)  all_56_10 = e1 & op(e2, e0) = e1
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | | ALPHA: (42) implies:
% 185.38/29.87  | | | | | |   (43)  all_56_10 = e1
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | | BETA: splitting (13) gives:
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | | Case 1:
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | |   (44)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 &
% 185.38/29.87  | | | | | | |           op(e3, e2) = e1)
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | | BETA: splitting (44) gives:
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | | Case 1:
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | |   (45)  all_56_0 = e1 & op(e3, e3) = e1
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | | ALPHA: (45) implies:
% 185.38/29.87  | | | | | | | |   (46)  op(e3, e3) = e1
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | | REF_CLOSE: (11), (19), (29), (46) are inconsistent by sub-proof
% 185.38/29.87  | | | | | | | |            #1525.
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | Case 2:
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | |   (47)  all_56_1 = e1 & op(e3, e2) = e1
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | | ALPHA: (47) implies:
% 185.38/29.87  | | | | | | | |   (48)  all_56_1 = e1
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | | COMBINE_EQS: (32), (48) imply:
% 185.38/29.87  | | | | | | | |   (49)  e3 = e1
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | | COMBINE_EQS: (8), (49) imply:
% 185.38/29.87  | | | | | | | |   (50)  all_56_11 = e1
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | | REF_CLOSE: (3), (5), (9), (10), (11), (16), (17), (18), (24),
% 185.38/29.87  | | | | | | | |            (27), (38), (43), (50) are inconsistent by sub-proof
% 185.38/29.87  | | | | | | | |            #1205.
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | End of split
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | Case 2:
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | |   (51)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 &
% 185.38/29.87  | | | | | | |           op(e3, e0) = e1)
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | | BETA: splitting (51) gives:
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | | Case 1:
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | |   (52)  all_56_4 = e1 & op(e3, e1) = e1
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | | ALPHA: (52) implies:
% 185.38/29.87  | | | | | | | |   (53)  all_56_4 = e1
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (7), (9), (10), (11), (12), (17),
% 185.38/29.87  | | | | | | | |            (20), (25), (30), (53) are inconsistent by sub-proof
% 185.38/29.87  | | | | | | | |            #1467.
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | Case 2:
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | |   (54)  all_56_9 = e1 & op(e3, e0) = e1
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | | ALPHA: (54) implies:
% 185.38/29.87  | | | | | | | |   (55)  all_56_9 = e1
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | | REF_CLOSE: (9), (11), (15), (17), (21), (23), (25), (32), (55)
% 185.38/29.87  | | | | | | | |            are inconsistent by sub-proof #1128.
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | End of split
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | End of split
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | End of split
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | Case 2:
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | |   (56)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 185.38/29.87  | | | | |             e0) = e1)
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | | REF_CLOSE: (1), (3), (5), (8), (9), (10), (11), (14), (16), (17),
% 185.38/29.87  | | | | |            (22), (24), (25), (27), (30), (38), (56) are inconsistent
% 185.38/29.87  | | | | |            by sub-proof #520.
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | End of split
% 185.38/29.87  | | | | 
% 185.38/29.87  | | | End of split
% 185.38/29.87  | | | 
% 185.38/29.87  | | End of split
% 185.38/29.87  | | 
% 185.38/29.87  | Case 2:
% 185.38/29.87  | | 
% 185.38/29.87  | |   (57)  all_56_3 = e3 & op(e2, e2) = e3
% 185.38/29.87  | | 
% 185.38/29.87  | | ALPHA: (57) implies:
% 185.38/29.87  | |   (58)  op(e2, e2) = e3
% 185.38/29.87  | | 
% 185.38/29.87  | | REF_CLOSE: (5), (11), (28), (58) are inconsistent by sub-proof #1015.
% 185.38/29.87  | | 
% 185.38/29.87  | End of split
% 185.38/29.87  | 
% 185.38/29.87  End of proof
% 185.38/29.87  
% 185.38/29.87  Sub-proof #520 shows that the following formulas are inconsistent:
% 185.38/29.87  ----------------------------------------------------------------
% 185.38/29.87    (1)  all_56_9 = e2
% 185.38/29.87    (2)  all_56_6 = e0
% 185.38/29.87    (3)   ~ (e1 = e0)
% 185.38/29.87    (4)   ~ (e3 = e0)
% 185.38/29.87    (5)  all_56_11 = e3
% 185.38/29.87    (6)   ~ (e2 = e0)
% 185.38/29.87    (7)   ~ (e3 = e1)
% 185.38/29.87    (8)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.87    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.87           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.87    (10)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.87          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.87    (11)  op(e2, e0) = all_52_13
% 185.38/29.87    (12)   ~ (e3 = e2)
% 185.38/29.87    (13)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.87          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.87    (14)   ~ (all_52_13 = e0)
% 185.38/29.87    (15)   ~ (e2 = e1)
% 185.38/29.87    (16)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.87              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.38/29.87                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.38/29.87                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.38/29.87    (17)  op(e1, e1) = e1
% 185.38/29.87  
% 185.38/29.87  Begin of proof
% 185.38/29.87  | 
% 185.38/29.87  | BETA: splitting (8) gives:
% 185.38/29.87  | 
% 185.38/29.87  | Case 1:
% 185.38/29.87  | | 
% 185.38/29.87  | |   (18)  all_56_11 = e1 & op(e1, e0) = e1
% 185.38/29.87  | | 
% 185.38/29.87  | | ALPHA: (18) implies:
% 185.38/29.87  | |   (19)  all_56_11 = e1
% 185.38/29.87  | | 
% 185.38/29.87  | | REF_CLOSE: (2), (4), (6), (7), (9), (10), (12), (13), (15), (17), (19) are
% 185.38/29.87  | |            inconsistent by sub-proof #823.
% 185.38/29.87  | | 
% 185.38/29.87  | Case 2:
% 185.38/29.87  | | 
% 185.38/29.87  | |   (20)  all_56_15 = e1 & op(e0, e0) = e1
% 185.38/29.87  | | 
% 185.38/29.87  | | ALPHA: (20) implies:
% 185.38/29.87  | |   (21)  all_56_15 = e1
% 185.38/29.87  | | 
% 185.38/29.87  | | REF_CLOSE: (1), (3), (4), (5), (6), (9), (11), (14), (16), (21) are
% 185.38/29.87  | |            inconsistent by sub-proof #1201.
% 185.38/29.87  | | 
% 185.38/29.87  | End of split
% 185.38/29.87  | 
% 185.38/29.87  End of proof
% 185.38/29.87  
% 185.38/29.87  Sub-proof #521 shows that the following formulas are inconsistent:
% 185.38/29.87  ----------------------------------------------------------------
% 185.38/29.87    (1)  op(e0, e0) = all_6_2
% 185.38/29.87    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.38/29.87         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.38/29.87    (3)   ~ (all_4_2 = e0)
% 185.38/29.87    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.38/29.87         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.38/29.87    (5)   ~ (all_6_2 = e1)
% 185.38/29.87    (6)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.87         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.87    (7)   ~ (all_52_7 = e3)
% 185.38/29.87    (8)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.87         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.87    (9)   ~ (e1 = e0)
% 185.38/29.87    (10)  op(e1, e3) = all_52_2
% 185.38/29.87    (11)  all_57_26 = all_52_7
% 185.38/29.87    (12)   ~ (all_52_9 = e0)
% 185.38/29.87    (13)  all_54_0 = all_4_2
% 185.38/29.87    (14)   ~ (e3 = e0)
% 185.38/29.87    (15)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.38/29.87          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.87    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.38/29.87          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.87    (17)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.87          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.87    (18)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.38/29.87          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.38/29.87    (19)  op(e2, e1) = all_52_9
% 185.38/29.87    (20)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.87          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.87    (21)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.87          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.38/29.87    (22)   ~ (all_52_6 = e0)
% 185.38/29.87    (23)   ~ (e2 = e0)
% 185.38/29.87    (24)  all_57_16 = all_52_4
% 185.38/29.87    (25)  all_54_13 = all_52_7
% 185.38/29.87    (26)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.87          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.87    (27)   ~ (e3 = e1)
% 185.38/29.87    (28)   ~ (all_52_4 = all_52_7)
% 185.38/29.87    (29)   ~ (all_6_2 = e2)
% 185.38/29.87    (30)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 185.38/29.87    (31)   ~ (all_52_7 = e0)
% 185.38/29.87    (32)  op(e0, e3) = all_52_3
% 185.38/29.87    (33)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.38/29.87    (34)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.87            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.87    (35)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.38/29.87          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.87    (36)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.38/29.87    (37)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.38/29.87          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.38/29.87    (38)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 185.38/29.87              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 185.38/29.87            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.38/29.87              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.38/29.87            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 185.38/29.87            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 185.38/29.87            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 185.38/29.87            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 185.38/29.87            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 185.38/29.87            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.38/29.87              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 185.38/29.87              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.38/29.87            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.38/29.87          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 185.38/29.87              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 185.38/29.87            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.38/29.87              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.38/29.87            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 185.38/29.87            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.38/29.87            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 185.38/29.87            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.38/29.87            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.38/29.87              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.38/29.87              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 185.38/29.87            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 185.38/29.87            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.38/29.87            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 185.38/29.87            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 185.38/29.87            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 185.38/29.87            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 185.38/29.87            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.38/29.87            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 185.38/29.87            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 185.38/29.87            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 185.38/29.87              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 185.38/29.87            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 185.38/29.87            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 185.38/29.87              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 185.38/29.87            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 185.38/29.87            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 185.38/29.87            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 185.38/29.87            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.38/29.87            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.38/29.87              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 185.38/29.87              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 185.38/29.87            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 185.38/29.87            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 185.38/29.87              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 185.38/29.87            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 185.38/29.87            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.38/29.87            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 185.38/29.87            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 185.38/29.87            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 185.38/29.87                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 185.38/29.87                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 185.38/29.87                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.38/29.87                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 185.38/29.87                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.38/29.87                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.38/29.87                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.38/29.87                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.38/29.87                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.38/29.87                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.38/29.87                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 185.38/29.87                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.38/29.87                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 185.38/29.87                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 185.38/29.87                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 185.38/29.87                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 185.38/29.87    (39)  all_57_30 = e1
% 185.38/29.87    (40)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.87          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.87    (41)  all_56_3 = e0
% 185.38/29.87    (42)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.87          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.87    (43)  op(e0, e0) = e3
% 185.38/29.87    (44)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.38/29.87          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.38/29.87    (45)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.87          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.87            e1)
% 185.38/29.87    (46)  ( ~ (all_12_0 = e3) & op(e0, e0) = all_12_0 & $i(all_12_0)) | ( ~
% 185.38/29.87            (all_12_1 = e1) & op(e0, e2) = all_12_1 & $i(all_12_1))
% 185.38/29.87    (47)  all_57_23 = all_52_6
% 185.38/29.87    (48)   ~ (all_52_3 = all_4_2)
% 185.38/29.87    (49)  op(e2, e0) = all_52_13
% 185.38/29.87    (50)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.38/29.87          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.38/29.87    (51)   ~ (e3 = e2)
% 185.38/29.87    (52)   ~ (all_52_2 = all_4_2)
% 185.38/29.87    (53)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.38/29.87          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.38/29.87    (54)   ~ (all_52_4 = all_52_6)
% 185.38/29.87    (55)  op(e3, e3) = all_4_2
% 185.38/29.87    (56)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.87          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.87    (57)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.38/29.87          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.38/29.87    (58)  op(e3, e2) = all_52_4
% 185.38/29.87    (59)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.38/29.87          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.87            e3)
% 185.38/29.87    (60)   ~ (all_52_4 = all_4_2)
% 185.38/29.87    (61)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.87          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.87    (62)  op(e1, e2) = all_52_6
% 185.38/29.87    (63)   ~ (all_52_4 = e0)
% 185.38/29.87    (64)  op(e3, e3) = e3
% 185.38/29.87    (65)   ~ (all_52_13 = e0)
% 185.38/29.87    (66)   ~ (e2 = e1)
% 185.38/29.87    (67)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.87          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.38/29.87            e2)
% 185.38/29.87    (68)  op(e0, e2) = all_52_7
% 185.38/29.87    (69)   ~ (all_52_9 = e1)
% 185.38/29.87    (70)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.87              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.38/29.87                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.38/29.87                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.38/29.87    (71)  op(e2, e2) = e0
% 185.38/29.87    (72)   ~ (all_4_2 = e1)
% 185.38/29.87    (73)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.38/29.87          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.38/29.87    (74)  all_54_1 = all_52_4
% 185.38/29.87    (75)  op(e1, e1) = e1
% 185.38/29.87  
% 185.38/29.87  Begin of proof
% 185.38/29.87  | 
% 185.38/29.87  | BETA: splitting (57) gives:
% 185.38/29.87  | 
% 185.38/29.87  | Case 1:
% 185.38/29.87  | | 
% 185.38/29.87  | |   (76)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 185.38/29.87  | |           e3)
% 185.38/29.87  | | 
% 185.38/29.87  | | BETA: splitting (76) gives:
% 185.38/29.87  | | 
% 185.38/29.87  | | Case 1:
% 185.38/29.87  | | | 
% 185.38/29.87  | | |   (77)  all_56_2 = e3 & op(e2, e3) = e3
% 185.38/29.87  | | | 
% 185.38/29.87  | | | ALPHA: (77) implies:
% 185.38/29.87  | | |   (78)  all_56_2 = e3
% 185.38/29.87  | | | 
% 185.38/29.87  | | | REF_CLOSE: (1), (3), (5), (8), (9), (12), (14), (16), (17), (18), (19),
% 185.38/29.87  | | |            (21), (23), (27), (29), (34), (35), (37), (40), (44), (45),
% 185.38/29.87  | | |            (51), (55), (56), (58), (63), (64), (66), (67), (71), (72),
% 185.38/29.87  | | |            (73), (75), (78) are inconsistent by sub-proof #550.
% 185.38/29.87  | | | 
% 185.38/29.87  | | Case 2:
% 185.38/29.87  | | | 
% 185.38/29.87  | | |   (79)  all_56_3 = e3 & op(e2, e2) = e3
% 185.38/29.87  | | | 
% 185.38/29.87  | | | ALPHA: (79) implies:
% 185.38/29.87  | | |   (80)  op(e2, e2) = e3
% 185.38/29.87  | | | 
% 185.38/29.87  | | | REF_CLOSE: (14), (34), (71), (80) are inconsistent by sub-proof #1015.
% 185.38/29.87  | | | 
% 185.38/29.87  | | End of split
% 185.38/29.87  | | 
% 185.38/29.87  | Case 2:
% 185.38/29.87  | | 
% 185.38/29.87  | |   (81)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.38/29.87  | |           e3)
% 185.38/29.87  | | 
% 185.38/29.87  | | BETA: splitting (81) gives:
% 185.38/29.87  | | 
% 185.38/29.87  | | Case 1:
% 185.38/29.87  | | | 
% 185.38/29.87  | | |   (82)  all_56_5 = e3 & op(e2, e1) = e3
% 185.38/29.87  | | | 
% 185.38/29.87  | | | ALPHA: (82) implies:
% 185.38/29.87  | | |   (83)  all_56_5 = e3
% 185.38/29.87  | | |   (84)  op(e2, e1) = e3
% 185.38/29.87  | | | 
% 185.38/29.87  | | | BETA: splitting (4) gives:
% 185.38/29.87  | | | 
% 185.38/29.87  | | | Case 1:
% 185.38/29.87  | | | | 
% 185.38/29.87  | | | |   (85)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2)
% 185.38/29.87  | | | |           = e3)
% 185.38/29.87  | | | | 
% 185.38/29.87  | | | | BETA: splitting (85) gives:
% 185.38/29.87  | | | | 
% 185.38/29.87  | | | | Case 1:
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | |   (86)  all_56_1 = e3 & op(e3, e2) = e3
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | | ALPHA: (86) implies:
% 185.38/29.87  | | | | |   (87)  all_56_1 = e3
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | | BETA: splitting (6) gives:
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | | Case 1:
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | |   (88)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2,
% 185.38/29.87  | | | | | |             e2) = e1)
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | | BETA: splitting (88) gives:
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | | Case 1:
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | |   (89)  all_56_1 = e1 & op(e3, e2) = e1
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | | ALPHA: (89) implies:
% 185.38/29.87  | | | | | | |   (90)  all_56_1 = e1
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | | REF_CLOSE: (27), (87), (90) are inconsistent by sub-proof #1403.
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | Case 2:
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | |   (91)  all_56_3 = e1 & op(e2, e2) = e1
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | | ALPHA: (91) implies:
% 185.38/29.87  | | | | | | |   (92)  op(e2, e2) = e1
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | | REF_CLOSE: (9), (34), (71), (92) are inconsistent by sub-proof
% 185.38/29.87  | | | | | | |            #1310.
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | End of split
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | Case 2:
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | |   (93)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0,
% 185.38/29.87  | | | | | |             e2) = e1)
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | | BETA: splitting (93) gives:
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | | Case 1:
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | |   (94)  all_56_7 = e1 & op(e1, e2) = e1
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | | ALPHA: (94) implies:
% 185.38/29.87  | | | | | | |   (95)  all_56_7 = e1
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | | BETA: splitting (61) gives:
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | | Case 1:
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | |   (96)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 &
% 185.38/29.87  | | | | | | | |           op(e1, e2) = e3)
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (8), (9), (12), (14), (17), (18),
% 185.38/29.87  | | | | | | | |            (19), (20), (21), (22), (23), (27), (29), (34), (35),
% 185.38/29.87  | | | | | | | |            (40), (42), (45), (51), (55), (56), (57), (62), (64),
% 185.38/29.87  | | | | | | | |            (66), (67), (71), (72), (73), (75), (95), (96) are
% 185.38/29.87  | | | | | | | |            inconsistent by sub-proof #576.
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | Case 2:
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | |   (97)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 &
% 185.38/29.87  | | | | | | | |           op(e1, e0) = e3)
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | | REF_CLOSE: (8), (9), (12), (14), (19), (20), (22), (23), (27),
% 185.38/29.87  | | | | | | | |            (34), (35), (37), (42), (43), (49), (51), (55), (56),
% 185.38/29.87  | | | | | | | |            (61), (62), (65), (66), (70), (72), (75), (87), (97)
% 185.38/29.87  | | | | | | | |            are inconsistent by sub-proof #547.
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | End of split
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | Case 2:
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | |   (98)  all_56_13 = e1 & op(e0, e2) = e1
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | | ALPHA: (98) implies:
% 185.38/29.87  | | | | | | |   (99)  all_56_13 = e1
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | | BETA: splitting (61) gives:
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | | Case 1:
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | |   (100)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 &
% 185.38/29.87  | | | | | | | |            op(e1, e2) = e3)
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | | BETA: splitting (100) gives:
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | | Case 1:
% 185.38/29.87  | | | | | | | | | 
% 185.38/29.87  | | | | | | | | |   (101)  all_56_6 = e3 & op(e1, e3) = e3
% 185.38/29.87  | | | | | | | | | 
% 185.38/29.87  | | | | | | | | | ALPHA: (101) implies:
% 185.38/29.87  | | | | | | | | |   (102)  all_56_6 = e3
% 185.38/29.87  | | | | | | | | | 
% 185.38/29.87  | | | | | | | | | REF_CLOSE: (1), (2), (3), (5), (8), (9), (12), (14), (17),
% 185.38/29.87  | | | | | | | | |            (18), (19), (20), (21), (22), (23), (27), (29),
% 185.38/29.87  | | | | | | | | |            (34), (35), (40), (42), (45), (51), (55), (56),
% 185.38/29.87  | | | | | | | | |            (57), (62), (64), (66), (67), (71), (72), (73),
% 185.38/29.87  | | | | | | | | |            (75), (102) are inconsistent by sub-proof #593.
% 185.38/29.87  | | | | | | | | | 
% 185.38/29.87  | | | | | | | | Case 2:
% 185.38/29.87  | | | | | | | | | 
% 185.38/29.87  | | | | | | | | |   (103)  all_56_7 = e3 & op(e1, e2) = e3
% 185.38/29.87  | | | | | | | | | 
% 185.38/29.87  | | | | | | | | | ALPHA: (103) implies:
% 185.38/29.87  | | | | | | | | |   (104)  all_56_7 = e3
% 185.38/29.87  | | | | | | | | | 
% 185.38/29.87  | | | | | | | | | REF_CLOSE: (23), (26), (34), (51), (66), (71), (87), (99),
% 185.38/29.87  | | | | | | | | |            (104) are inconsistent by sub-proof #546.
% 185.38/29.87  | | | | | | | | | 
% 185.38/29.87  | | | | | | | | End of split
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | Case 2:
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | |   (105)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 &
% 185.38/29.87  | | | | | | | |            op(e1, e0) = e3)
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | | REF_CLOSE: (8), (9), (12), (14), (19), (20), (22), (23), (27),
% 185.38/29.87  | | | | | | | |            (34), (35), (37), (42), (43), (49), (51), (55), (56),
% 185.38/29.87  | | | | | | | |            (61), (62), (65), (66), (70), (72), (75), (87), (105)
% 185.38/29.87  | | | | | | | |            are inconsistent by sub-proof #547.
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | End of split
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | End of split
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | End of split
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | Case 2:
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | |   (106)  all_56_3 = e3 & op(e2, e2) = e3
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | | ALPHA: (106) implies:
% 185.38/29.87  | | | | |   (107)  op(e2, e2) = e3
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | | REF_CLOSE: (14), (34), (71), (107) are inconsistent by sub-proof
% 185.38/29.87  | | | | |            #1015.
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | End of split
% 185.38/29.87  | | | | 
% 185.38/29.87  | | | Case 2:
% 185.38/29.87  | | | | 
% 185.38/29.87  | | | |   (108)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0,
% 185.38/29.87  | | | |              e2) = e3)
% 185.38/29.87  | | | | 
% 185.38/29.87  | | | | BETA: splitting (108) gives:
% 185.38/29.87  | | | | 
% 185.38/29.87  | | | | Case 1:
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | |   (109)  all_56_7 = e3 & op(e1, e2) = e3
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | | ALPHA: (109) implies:
% 185.38/29.87  | | | | |   (110)  all_56_7 = e3
% 185.38/29.87  | | | | |   (111)  op(e1, e2) = e3
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | | BETA: splitting (46) gives:
% 185.38/29.87  | | | | | 
% 185.38/29.87  | | | | | Case 1:
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | |   (112)   ~ (all_12_0 = e3) & op(e0, e0) = all_12_0 & $i(all_12_0)
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | | ALPHA: (112) implies:
% 185.38/29.87  | | | | | |   (113)   ~ (all_12_0 = e3)
% 185.38/29.87  | | | | | |   (114)  op(e0, e0) = all_12_0
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | | REF_CLOSE: (34), (43), (113), (114) are inconsistent by sub-proof
% 185.38/29.87  | | | | | |            #545.
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | Case 2:
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | |   (115)   ~ (all_12_1 = e1) & op(e0, e2) = all_12_1 & $i(all_12_1)
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | | ALPHA: (115) implies:
% 185.38/29.87  | | | | | |   (116)   ~ (all_12_1 = e1)
% 185.38/29.87  | | | | | |   (117)  op(e0, e2) = all_12_1
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | | BETA: splitting (53) gives:
% 185.38/29.87  | | | | | | 
% 185.38/29.87  | | | | | | Case 1:
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | |   (118)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 &
% 185.38/29.87  | | | | | | |            op(e2, e0) = e3)
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | | REF_CLOSE: (1), (2), (3), (5), (8), (9), (12), (14), (15), (16),
% 185.38/29.87  | | | | | | |            (17), (18), (19), (20), (21), (22), (23), (26), (27),
% 185.38/29.87  | | | | | | |            (28), (29), (34), (35), (37), (40), (42), (44), (45),
% 185.38/29.87  | | | | | | |            (50), (51), (55), (56), (57), (58), (61), (62), (63),
% 185.38/29.87  | | | | | | |            (64), (66), (67), (68), (71), (72), (73), (75), (83),
% 185.38/29.87  | | | | | | |            (84), (110), (118) are inconsistent by sub-proof #541.
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | Case 2:
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | |   (119)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 185.38/29.87  | | | | | | |            op(e0, e0) = e3)
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | | BETA: splitting (119) gives:
% 185.38/29.87  | | | | | | | 
% 185.38/29.87  | | | | | | | Case 1:
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | |   (120)  all_56_11 = e3 & op(e1, e0) = e3
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | | ALPHA: (120) implies:
% 185.38/29.87  | | | | | | | |   (121)  all_56_11 = e3
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | | REF_CLOSE: (1), (5), (9), (14), (15), (20), (22), (23), (27),
% 185.38/29.87  | | | | | | | |            (29), (34), (42), (43), (49), (50), (51), (61), (62),
% 185.38/29.87  | | | | | | | |            (65), (66), (70), (75), (121) are inconsistent by
% 185.38/29.87  | | | | | | | |            sub-proof #537.
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | Case 2:
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | |   (122)  all_56_15 = e3 & op(e0, e0) = e3
% 185.38/29.87  | | | | | | | | 
% 185.38/29.87  | | | | | | | | ALPHA: (122) implies:
% 185.38/29.87  | | | | | | | |   (123)  all_56_15 = e3
% 185.38/29.87  | | | | | | | | 
% 185.38/29.88  | | | | | | | | GROUND_INST: instantiating (34) with all_52_7, all_12_1, e2, e0,
% 185.38/29.88  | | | | | | | |              simplifying with (68), (117) gives:
% 185.38/29.88  | | | | | | | |   (124)  all_52_7 = all_12_1
% 185.38/29.88  | | | | | | | | 
% 185.38/29.88  | | | | | | | | GROUND_INST: instantiating (34) with all_52_6, e3, e2, e1,
% 185.38/29.88  | | | | | | | |              simplifying with (62), (111) gives:
% 185.38/29.88  | | | | | | | |   (125)  all_52_6 = e3
% 185.38/29.88  | | | | | | | | 
% 185.38/29.88  | | | | | | | | GROUND_INST: instantiating (34) with all_52_9, e3, e1, e2,
% 185.38/29.88  | | | | | | | |              simplifying with (19), (84) gives:
% 185.38/29.88  | | | | | | | |   (126)  all_52_9 = e3
% 185.38/29.88  | | | | | | | | 
% 185.38/29.88  | | | | | | | | COMBINE_EQS: (25), (124) imply:
% 185.38/29.88  | | | | | | | |   (127)  all_54_13 = all_12_1
% 185.38/29.88  | | | | | | | | 
% 185.38/29.88  | | | | | | | | COMBINE_EQS: (11), (124) imply:
% 185.38/29.88  | | | | | | | |   (128)  all_57_26 = all_12_1
% 185.38/29.88  | | | | | | | | 
% 185.38/29.88  | | | | | | | | COMBINE_EQS: (47), (125) imply:
% 185.38/29.88  | | | | | | | |   (129)  all_57_23 = e3
% 185.38/29.88  | | | | | | | | 
% 185.38/29.88  | | | | | | | | REDUCE: (54), (125) imply:
% 185.38/29.88  | | | | | | | |   (130)   ~ (all_52_4 = e3)
% 185.38/29.88  | | | | | | | | 
% 185.38/29.88  | | | | | | | | REDUCE: (28), (124) imply:
% 185.38/29.88  | | | | | | | |   (131)   ~ (all_52_4 = all_12_1)
% 185.38/29.88  | | | | | | | | 
% 185.38/29.88  | | | | | | | | REDUCE: (7), (124) imply:
% 185.38/29.88  | | | | | | | |   (132)   ~ (all_12_1 = e3)
% 185.38/29.88  | | | | | | | | 
% 185.38/29.88  | | | | | | | | REDUCE: (31), (124) imply:
% 185.38/29.88  | | | | | | | |   (133)   ~ (all_12_1 = e0)
% 185.38/29.88  | | | | | | | | 
% 185.38/29.88  | | | | | | | | BETA: splitting (45) gives:
% 185.38/29.88  | | | | | | | | 
% 185.38/29.88  | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | 
% 185.38/29.88  | | | | | | | | |   (134)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1
% 185.38/29.88  | | | | | | | | |            & op(e0, e2) = e1)
% 185.38/29.88  | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | BETA: splitting (134) gives:
% 185.38/29.88  | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | |   (135)  all_56_12 = e1 & op(e0, e3) = e1
% 185.38/29.88  | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | ALPHA: (135) implies:
% 185.38/29.88  | | | | | | | | | |   (136)  all_56_12 = e1
% 185.38/29.88  | | | | | | | | | |   (137)  op(e0, e3) = e1
% 185.38/29.88  | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | BETA: splitting (26) gives:
% 185.38/29.88  | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | |   (138)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 185.38/29.88  | | | | | | | | | | |            & op(e2, e2) = e2)
% 185.38/29.88  | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | BETA: splitting (138) gives:
% 185.38/29.88  | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | |   (139)  all_56_1 = e2 & op(e3, e2) = e2
% 185.38/29.88  | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | ALPHA: (139) implies:
% 185.38/29.88  | | | | | | | | | | | |   (140)  op(e3, e2) = e2
% 185.38/29.88  | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | REF_CLOSE: (28), (34), (36), (58), (68), (116), (117), (127),
% 185.38/29.88  | | | | | | | | | | | |            (132), (133), (140) are inconsistent by sub-proof
% 185.38/29.88  | | | | | | | | | | | |            #533.
% 185.38/29.88  | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | |   (141)  all_56_3 = e2 & op(e2, e2) = e2
% 185.38/29.88  | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | ALPHA: (141) implies:
% 185.38/29.88  | | | | | | | | | | | |   (142)  op(e2, e2) = e2
% 185.38/29.88  | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | REF_CLOSE: (23), (34), (71), (142) are inconsistent by
% 185.38/29.88  | | | | | | | | | | | |            sub-proof #1586.
% 185.38/29.88  | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | End of split
% 185.38/29.88  | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | |   (143)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 185.38/29.88  | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 185.38/29.88  | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | BETA: splitting (143) gives:
% 185.38/29.88  | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | |   (144)  all_56_7 = e2 & op(e1, e2) = e2
% 185.38/29.88  | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | ALPHA: (144) implies:
% 185.38/29.88  | | | | | | | | | | | |   (145)  all_56_7 = e2
% 185.38/29.88  | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | REF_CLOSE: (51), (110), (145) are inconsistent by sub-proof
% 185.38/29.88  | | | | | | | | | | | |            #1430.
% 185.38/29.88  | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | |   (146)  all_56_13 = e2 & op(e0, e2) = e2
% 185.38/29.88  | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | ALPHA: (146) implies:
% 185.38/29.88  | | | | | | | | | | | |   (147)  all_56_13 = e2
% 185.38/29.88  | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | BETA: splitting (36) gives:
% 185.38/29.88  | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | |   (148)  all_54_13 = e3
% 185.38/29.88  | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | COMBINE_EQS: (127), (148) imply:
% 185.38/29.88  | | | | | | | | | | | | |   (149)  all_12_1 = e3
% 185.38/29.88  | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | REDUCE: (132), (149) imply:
% 185.38/29.88  | | | | | | | | | | | | |   (150)  $false
% 185.38/29.88  | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | CLOSE: (150) is inconsistent.
% 185.38/29.88  | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | |   (151)   ~ (all_54_13 = e3)
% 185.38/29.88  | | | | | | | | | | | | |   (152)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.38/29.88  | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | BETA: splitting (152) gives:
% 185.38/29.88  | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | |   (153)  all_54_13 = e2
% 185.38/29.88  | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | COMBINE_EQS: (127), (153) imply:
% 185.38/29.88  | | | | | | | | | | | | | |   (154)  all_12_1 = e2
% 185.38/29.88  | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | COMBINE_EQS: (128), (154) imply:
% 185.38/29.88  | | | | | | | | | | | | | |   (155)  all_57_26 = e2
% 185.38/29.88  | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | REDUCE: (131), (154) imply:
% 185.38/29.88  | | | | | | | | | | | | | |   (156)   ~ (all_52_4 = e2)
% 185.38/29.88  | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | REDUCE: (132), (154) imply:
% 185.38/29.88  | | | | | | | | | | | | | |   (157)   ~ (e3 = e2)
% 185.38/29.88  | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 185.38/29.88  | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | |   (158)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 185.38/29.88  | | | | | | | | | | | | | | |            & op(e2, e1) = e2)
% 185.38/29.88  | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | |   (159)  all_56_4 = e2 & op(e3, e1) = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | ALPHA: (159) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | |   (160)  all_56_4 = e2
% 185.38/29.88  | | | | | | | | | | | | | | | |   (161)  op(e3, e1) = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | BETA: splitting (30) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | |   (162)  all_54_1 = e3
% 185.38/29.88  | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | COMBINE_EQS: (74), (162) imply:
% 185.38/29.88  | | | | | | | | | | | | | | | | |   (163)  all_52_4 = e3
% 185.38/29.88  | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | REDUCE: (130), (163) imply:
% 185.38/29.88  | | | | | | | | | | | | | | | | |   (164)  $false
% 185.38/29.88  | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | CLOSE: (164) is inconsistent.
% 185.38/29.88  | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | |   (165)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | |   (166)  all_56_15 = e0 & op(e0, e0) = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | ALPHA: (166) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | |   (167)  op(e0, e0) = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (34), (43), (167) are inconsistent by
% 185.38/29.88  | | | | | | | | | | | | | | | | | |            sub-proof #1540.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | |   (168)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 185.38/29.88  | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 185.38/29.88  | | | | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 185.38/29.88  | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | ALPHA: (168) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | |   (169)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 185.38/29.88  | | | | | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 185.38/29.88  | | | | | | | | | | | | | | | | | |              e1) = e0)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | |   (170)  all_54_1 = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (74), (170) imply:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | |   (171)  all_52_4 = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | REDUCE: (156), (171) imply:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | |   (172)  $false
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | CLOSE: (172) is inconsistent.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | |   (173)  all_54_1 = e1 | all_54_1 = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | |   (174)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e0)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | |   (175)  all_56_0 = e0 & op(e3, e3) = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | ALPHA: (175) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | |   (176)  op(e3, e3) = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (34), (55), (176) are inconsistent by
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1624.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | |   (177)  all_56_2 = e0 & op(e2, e3) = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | ALPHA: (177) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | |   (178)  all_56_2 = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | |   (179)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (34), (55), (58), (63), (179) are
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1060.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | |   (180)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | |   (181)  all_56_4 = e0 & op(e3, e1) = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (181) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | |   (182)  all_56_4 = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (160), (182) are inconsistent by sub-proof
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | |            #1394.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | |   (183)  all_56_9 = e0 & op(e3, e0) = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (183) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | |   (184)  all_56_9 = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | |   (185)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (34), (71), (178), (185) are inconsistent by
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #606.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | |   (186)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (187)  all_56_5 = e2 & op(e2, e1) = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (187) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (188)  all_56_5 = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (83), (188) imply:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (189)  e3 = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (189) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (190)  e3 = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (123), (190) imply:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (191)  all_56_15 = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14), (27), (31), (34), (51), (59), (68),
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |            (136), (147), (169), (191) are inconsistent by
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #527.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (192)  all_56_10 = e2 & op(e2, e0) = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (192) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (193)  all_56_10 = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (9), (14), (15), (20), (22), (23), (27),
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |            (34), (42), (51), (61), (62), (66), (75), (184),
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |            (193) are inconsistent by sub-proof #539.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | |   (194)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | |   (195)  all_56_6 = e0 & op(e1, e3) = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | ALPHA: (195) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | |   (196)  all_56_6 = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | |   (197)  op(e1, e3) = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | |   (198)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (34), (55), (58), (63), (198) are
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1060.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | |   (199)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | |   (200)  all_56_4 = e0 & op(e3, e1) = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (160), (200) are inconsistent by sub-proof
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | |            #1190.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_56_9 = e0 & op(e3, e0) = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (201) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | |   (202)  all_56_9 = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | |   (203)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_56_0 = e2 & op(e3, e3) = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (204) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  op(e3, e3) = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (51), (64), (205) are inconsistent by
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1594.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  all_56_2 = e2 & op(e2, e3) = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  all_56_2 = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  all_56_9 = e1 & op(e3, e0) = e1
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (202), (209) are inconsistent by sub-proof
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1126.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_56_10 = e1 & op(e2, e0) = e1
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (210) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_56_10 = e1
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (38) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (214) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)   ~ (all_57_28 = e2)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  op(e3, e2) = e3
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  op(e3, e3) = all_57_28
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (13), (32), (33), (34), (48), (52), (55),
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (58), (60), (137), (197), (215), (216), (217) are
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1284.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (218) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  op(e1, e3) = e3
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  op(e3, e1) = e3
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  op(e3, all_57_16) = all_57_1
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (221) imply:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  op(e3, all_52_4) = all_57_1
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_54_1 = e1
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (74), (223) imply:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_52_4 = e1
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (224) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_52_4 = e1
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (222), (225) imply:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  op(e3, e1) = all_57_1
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (34) with e0, e3, e3, e1,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (197), (219) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  e3 = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (34) with e3, all_57_1, e1, e3,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (220), (226) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  all_57_1 = e3
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (34) with e2, all_57_1, e1, e3,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (161), (226) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  all_57_1 = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (228), (229) imply:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  e3 = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (227), (230) imply:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  e2 = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (231) imply:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  $false
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (232) is inconsistent.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_54_1 = e0
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (74), (233) are inconsistent by sub-proof
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #911.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_17) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (235) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  op(e0, e3) = e3
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (32), (34), (137), (236) are inconsistent by
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1529.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21) = all_57_7 & op(e2, all_57_29) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (237) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  op(e3, e2) = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (34), (58), (68), (116), (117), (127),
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (133), (152), (238) are inconsistent by sub-proof
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #534.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_19) = all_57_4 & op(e2, all_57_21) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (241) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  all_57_23 = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (129), (242) imply:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  e3 = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (123), (243) imply:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  all_56_15 = e2
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14), (27), (31), (34), (51), (59), (68),
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (136), (147), (169), (244) are inconsistent by
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #527.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_19) = all_57_4 & op(e2, all_57_20) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (245) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)   ~ (all_57_29 = e0)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  op(e2, e2) = all_57_29
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (71), (246), (247) are inconsistent by
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1334.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (34), (129), (197), (249) are inconsistent by
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #555.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (251) implies:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  op(e2, e1) = e1
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (27), (34), (41), (51), (57), (207), (211),
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (252) are inconsistent by sub-proof #787.
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.88  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0))))
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (253) implies:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  op(e0, e1) = all_57_27
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22) = all_57_8 & op(e1, all_57_23) =
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (256) implies:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_57_27 = e1
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)   ~ (all_57_30 = e0)
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (254), (257) imply:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  op(e0, e1) = e1
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_56_12 = e0 & op(e0, e3) = e0
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (260) implies:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  op(e0, e3) = e0
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (34), (137), (261) are inconsistent by
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1589.
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (31), (34), (68), (259), (262) are
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #754.
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25) = all_57_12 & op(e0, all_57_26) =
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_25 = e0 & op(e3, e0) = e0) |
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0))
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (155), (263) are inconsistent by sub-proof
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1295.
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (5), (23), (34), (42), (51), (66), (75),
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            (110), (196), (264) are inconsistent by sub-proof
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | |            #567.
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | |   (265)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_56_6 = e2 & op(e1, e3) = e2
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (196), (266) are inconsistent by sub-proof
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | |            #580.
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_56_12 = e2 & op(e0, e3) = e2
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (267) implies:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_56_12 = e2
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (136), (268) imply:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  e2 = e1
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (160), (269) imply:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_56_4 = e1
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (12), (14), (19), (23), (27), (34),
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | |            (35), (51), (56), (66), (75), (270) are
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1467.
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | |   (271)  all_56_12 = e0 & op(e0, e3) = e0
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | ALPHA: (271) implies:
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | |   (272)  op(e0, e3) = e0
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (34), (137), (272) are inconsistent by
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1589.
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | Case 2:
% 185.38/29.89  | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | |   (273)  all_56_5 = e2 & op(e2, e1) = e2
% 185.38/29.89  | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | ALPHA: (273) implies:
% 185.38/29.89  | | | | | | | | | | | | | | | |   (274)  all_56_5 = e2
% 185.38/29.89  | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | REF_CLOSE: (51), (83), (274) are inconsistent by sub-proof
% 185.38/29.89  | | | | | | | | | | | | | | | |            #936.
% 185.38/29.89  | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | Case 2:
% 185.38/29.89  | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | |   (275)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 185.38/29.89  | | | | | | | | | | | | | | |            e2 & op(e0, e1) = e2)
% 185.38/29.89  | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 185.38/29.89  | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | Case 1:
% 185.38/29.89  | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | |   (276)  all_56_8 = e2 & op(e1, e1) = e2
% 185.38/29.89  | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | ALPHA: (276) implies:
% 185.38/29.89  | | | | | | | | | | | | | | | |   (277)  op(e1, e1) = e2
% 185.38/29.89  | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | REF_CLOSE: (34), (66), (75), (277) are inconsistent by
% 185.38/29.89  | | | | | | | | | | | | | | | |            sub-proof #1473.
% 185.38/29.89  | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | Case 2:
% 185.38/29.89  | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | |   (278)  all_56_14 = e2 & op(e0, e1) = e2
% 185.38/29.89  | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | ALPHA: (278) implies:
% 185.38/29.89  | | | | | | | | | | | | | | | |   (279)  all_56_14 = e2
% 185.38/29.89  | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14), (23), (31), (34), (43), (68), (70),
% 185.38/29.89  | | | | | | | | | | | | | | | |            (136), (279) are inconsistent by sub-proof #1274.
% 185.38/29.89  | | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | Case 2:
% 185.38/29.89  | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | |   (280)  all_54_13 = e1 | all_54_13 = e0
% 185.38/29.89  | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | | REF_CLOSE: (116), (127), (133), (280) are inconsistent by
% 185.38/29.89  | | | | | | | | | | | | | |            sub-proof #535.
% 185.38/29.89  | | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | Case 2:
% 185.38/29.89  | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | |   (281)  all_56_13 = e1 & op(e0, e2) = e1
% 185.38/29.89  | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | ALPHA: (281) implies:
% 185.38/29.89  | | | | | | | | | |   (282)  all_56_13 = e1
% 185.38/29.89  | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | REF_CLOSE: (23), (26), (28), (34), (36), (51), (58), (66),
% 185.38/29.89  | | | | | | | | | |            (68), (71), (110), (116), (117), (127), (132),
% 185.38/29.89  | | | | | | | | | |            (133), (282) are inconsistent by sub-proof #526.
% 185.38/29.89  | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | 
% 185.38/29.89  | | | | | | | | Case 2:
% 185.38/29.89  | | | | | | | | | 
% 185.38/29.89  | | | | | | | | |   (283)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1
% 185.38/29.89  | | | | | | | | |            & op(e0, e0) = e1)
% 185.38/29.89  | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | REF_CLOSE: (1), (5), (8), (9), (12), (14), (19), (23), (27),
% 185.38/29.89  | | | | | | | | |            (34), (35), (51), (56), (66), (75), (283) are
% 185.38/29.89  | | | | | | | | |            inconsistent by sub-proof #595.
% 185.38/29.89  | | | | | | | | | 
% 185.38/29.89  | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | 
% 185.38/29.89  | | | | | | | End of split
% 185.38/29.89  | | | | | | | 
% 185.38/29.89  | | | | | | End of split
% 185.38/29.89  | | | | | | 
% 185.38/29.89  | | | | | End of split
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | Case 2:
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | |   (284)  all_56_13 = e3 & op(e0, e2) = e3
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | | ALPHA: (284) implies:
% 185.38/29.89  | | | | |   (285)  all_56_13 = e3
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (12), (14), (17), (18),
% 185.38/29.89  | | | | |            (19), (20), (21), (22), (23), (26), (27), (29), (31), (34),
% 185.38/29.89  | | | | |            (35), (40), (42), (43), (45), (51), (55), (56), (57), (61),
% 185.38/29.89  | | | | |            (62), (64), (66), (67), (68), (70), (71), (72), (73), (75),
% 185.38/29.89  | | | | |            (285) are inconsistent by sub-proof #522.
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | End of split
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | End of split
% 185.38/29.89  | | | 
% 185.38/29.89  | | Case 2:
% 185.38/29.89  | | | 
% 185.38/29.89  | | |   (286)  all_56_10 = e3 & op(e2, e0) = e3
% 185.38/29.89  | | | 
% 185.38/29.89  | | | ALPHA: (286) implies:
% 185.38/29.89  | | |   (287)  all_56_10 = e3
% 185.38/29.89  | | | 
% 185.38/29.89  | | | BETA: splitting (15) gives:
% 185.38/29.89  | | | 
% 185.38/29.89  | | | Case 1:
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | |   (288)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2,
% 185.38/29.89  | | | |              e0) = e1)
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | | BETA: splitting (288) gives:
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | | Case 1:
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | |   (289)  all_56_9 = e1 & op(e3, e0) = e1
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | | ALPHA: (289) implies:
% 185.38/29.89  | | | | |   (290)  all_56_9 = e1
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | | REF_CLOSE: (1), (9), (14), (23), (29), (34), (43), (49), (50), (51),
% 185.38/29.89  | | | | |            (65), (66), (70), (287), (290) are inconsistent by
% 185.38/29.89  | | | | |            sub-proof #1496.
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | Case 2:
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | |   (291)  all_56_10 = e1 & op(e2, e0) = e1
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | | REF_CLOSE: (27), (287), (291) are inconsistent by sub-proof #1486.
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | End of split
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | Case 2:
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | |   (292)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 185.38/29.89  | | | |              e0) = e1)
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | | REF_CLOSE: (1), (5), (9), (14), (20), (22), (23), (27), (34), (42),
% 185.38/29.89  | | | |            (51), (61), (62), (66), (75), (292) are inconsistent by
% 185.38/29.89  | | | |            sub-proof #543.
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | End of split
% 185.38/29.89  | | | 
% 185.38/29.89  | | End of split
% 185.38/29.89  | | 
% 185.38/29.89  | End of split
% 185.38/29.89  | 
% 185.38/29.89  End of proof
% 185.38/29.89  
% 185.38/29.89  Sub-proof #522 shows that the following formulas are inconsistent:
% 185.38/29.89  ----------------------------------------------------------------
% 185.38/29.89    (1)  op(e0, e0) = all_6_2
% 185.38/29.89    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.38/29.89         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.38/29.89    (3)   ~ (all_4_2 = e0)
% 185.38/29.89    (4)   ~ (all_6_2 = e1)
% 185.38/29.89    (5)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.89         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.89    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.89         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.89    (7)   ~ (e1 = e0)
% 185.38/29.89    (8)  all_56_13 = e3
% 185.38/29.89    (9)   ~ (all_52_9 = e0)
% 185.38/29.89    (10)   ~ (e3 = e0)
% 185.38/29.89    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.89          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.89    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.38/29.89          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.38/29.89    (13)  op(e2, e1) = all_52_9
% 185.38/29.89    (14)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.89          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.89    (15)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.89          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.38/29.89    (16)   ~ (all_52_6 = e0)
% 185.38/29.89    (17)   ~ (e2 = e0)
% 185.38/29.89    (18)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.89          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.89    (19)   ~ (e3 = e1)
% 185.38/29.89    (20)   ~ (all_6_2 = e2)
% 185.38/29.89    (21)   ~ (all_52_7 = e0)
% 185.38/29.89    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.89            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.89    (23)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.38/29.89          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.89    (24)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.89          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.38/29.89    (25)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.89          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.89    (26)  op(e0, e0) = e3
% 185.38/29.89    (27)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.38/29.89          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.89            e1)
% 185.38/29.89    (28)   ~ (e3 = e2)
% 185.38/29.89    (29)  op(e3, e3) = all_4_2
% 185.38/29.89    (30)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.38/29.89          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.38/29.89    (31)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.38/29.89          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.38/29.89    (32)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.89          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.89    (33)  op(e1, e2) = all_52_6
% 185.38/29.89    (34)  op(e3, e3) = e3
% 185.38/29.89    (35)   ~ (e2 = e1)
% 185.38/29.89    (36)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.89          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.38/29.89            e2)
% 185.38/29.89    (37)  op(e0, e2) = all_52_7
% 185.38/29.89    (38)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.89              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.38/29.89                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.38/29.89                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.38/29.89    (39)  op(e2, e2) = e0
% 185.38/29.89    (40)   ~ (all_4_2 = e1)
% 185.38/29.89    (41)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.38/29.89          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.38/29.89    (42)  op(e1, e1) = e1
% 185.38/29.89  
% 185.38/29.89  Begin of proof
% 185.38/29.89  | 
% 185.38/29.89  | BETA: splitting (5) gives:
% 185.38/29.89  | 
% 185.38/29.89  | Case 1:
% 185.38/29.89  | | 
% 185.38/29.89  | |   (43)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 185.38/29.89  | |           e1)
% 185.38/29.89  | | 
% 185.38/29.89  | | BETA: splitting (43) gives:
% 185.38/29.89  | | 
% 185.38/29.89  | | Case 1:
% 185.38/29.89  | | | 
% 185.38/29.89  | | |   (44)  all_56_1 = e1 & op(e3, e2) = e1
% 185.38/29.89  | | | 
% 185.38/29.89  | | | ALPHA: (44) implies:
% 185.38/29.89  | | |   (45)  all_56_1 = e1
% 185.38/29.89  | | | 
% 185.38/29.89  | | | BETA: splitting (32) gives:
% 185.38/29.89  | | | 
% 185.38/29.89  | | | Case 1:
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | |   (46)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2)
% 185.38/29.89  | | | |           = e3)
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | | BETA: splitting (46) gives:
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | | Case 1:
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | |   (47)  all_56_6 = e3 & op(e1, e3) = e3
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | | ALPHA: (47) implies:
% 185.38/29.89  | | | | |   (48)  all_56_6 = e3
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9), (10), (11), (12), (13),
% 185.38/29.89  | | | | |            (14), (15), (16), (17), (19), (20), (22), (23), (24), (25),
% 185.38/29.89  | | | | |            (27), (28), (29), (30), (31), (33), (34), (35), (36), (39),
% 185.38/29.89  | | | | |            (40), (41), (42), (48) are inconsistent by sub-proof #593.
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | Case 2:
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | |   (49)  all_56_7 = e3 & op(e1, e2) = e3
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | | ALPHA: (49) implies:
% 185.38/29.89  | | | | |   (50)  all_56_7 = e3
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | | REF_CLOSE: (8), (17), (18), (22), (28), (35), (39), (45), (50) are
% 185.38/29.89  | | | | |            inconsistent by sub-proof #1070.
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | End of split
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | Case 2:
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | |   (51)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0)
% 185.38/29.89  | | | |           = e3)
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | | BETA: splitting (51) gives:
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | | Case 1:
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | |   (52)  all_56_8 = e3 & op(e1, e1) = e3
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | | ALPHA: (52) implies:
% 185.38/29.89  | | | | |   (53)  op(e1, e1) = e3
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | | REF_CLOSE: (19), (22), (42), (53) are inconsistent by sub-proof #1541.
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | Case 2:
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | |   (54)  all_56_11 = e3 & op(e1, e0) = e3
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | | ALPHA: (54) implies:
% 185.38/29.89  | | | | |   (55)  all_56_11 = e3
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | | BETA: splitting (18) gives:
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | | Case 1:
% 185.38/29.89  | | | | | | 
% 185.38/29.89  | | | | | |   (56)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2,
% 185.38/29.89  | | | | | |             e2) = e2)
% 185.38/29.89  | | | | | | 
% 185.38/29.89  | | | | | | REF_CLOSE: (17), (22), (35), (39), (45), (56) are inconsistent by
% 185.38/29.89  | | | | | |            sub-proof #1073.
% 185.38/29.89  | | | | | | 
% 185.38/29.89  | | | | | Case 2:
% 185.38/29.89  | | | | | | 
% 185.38/29.89  | | | | | |   (57)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0,
% 185.38/29.89  | | | | | |             e2) = e2)
% 185.38/29.89  | | | | | | 
% 185.38/29.89  | | | | | | BETA: splitting (57) gives:
% 185.38/29.89  | | | | | | 
% 185.38/29.89  | | | | | | Case 1:
% 185.38/29.89  | | | | | | | 
% 185.38/29.89  | | | | | | |   (58)  all_56_7 = e2 & op(e1, e2) = e2
% 185.38/29.89  | | | | | | | 
% 185.38/29.89  | | | | | | | ALPHA: (58) implies:
% 185.38/29.89  | | | | | | |   (59)  all_56_7 = e2
% 185.38/29.89  | | | | | | | 
% 185.38/29.89  | | | | | | | BETA: splitting (14) gives:
% 185.38/29.89  | | | | | | | 
% 185.38/29.89  | | | | | | | Case 1:
% 185.38/29.89  | | | | | | | | 
% 185.38/29.89  | | | | | | | |   (60)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 &
% 185.38/29.89  | | | | | | | |           op(e1, e2) = e0)
% 185.38/29.89  | | | | | | | | 
% 185.38/29.89  | | | | | | | | BETA: splitting (60) gives:
% 185.38/29.89  | | | | | | | | 
% 185.38/29.89  | | | | | | | | Case 1:
% 185.38/29.89  | | | | | | | | | 
% 185.38/29.89  | | | | | | | | |   (61)  all_56_6 = e0 & op(e1, e3) = e0
% 185.38/29.89  | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | ALPHA: (61) implies:
% 185.38/29.89  | | | | | | | | |   (62)  all_56_6 = e0
% 185.38/29.89  | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | BETA: splitting (27) gives:
% 185.38/29.89  | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | Case 1:
% 185.38/29.89  | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | |   (63)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1
% 185.38/29.89  | | | | | | | | | |           & op(e0, e2) = e1)
% 185.38/29.89  | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | BETA: splitting (63) gives:
% 185.38/29.89  | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | Case 1:
% 185.38/29.89  | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | |   (64)  all_56_12 = e1 & op(e0, e3) = e1
% 185.38/29.89  | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | ALPHA: (64) implies:
% 185.38/29.89  | | | | | | | | | | |   (65)  all_56_12 = e1
% 185.38/29.89  | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | BETA: splitting (36) gives:
% 185.38/29.89  | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | Case 1:
% 185.38/29.89  | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | |   (66)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 185.38/29.89  | | | | | | | | | | | |           e2 & op(e0, e2) = e2)
% 185.38/29.89  | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | REF_CLOSE: (8), (17), (22), (25), (28), (35), (42), (55),
% 185.38/29.89  | | | | | | | | | | | |            (59), (62), (65), (66) are inconsistent by
% 185.38/29.89  | | | | | | | | | | | |            sub-proof #524.
% 185.38/29.89  | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | Case 2:
% 185.38/29.89  | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | |   (67)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 185.38/29.89  | | | | | | | | | | | |           e2 & op(e0, e0) = e2)
% 185.38/29.89  | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | | REF_CLOSE: (1), (7), (10), (17), (20), (21), (22), (26),
% 185.38/29.89  | | | | | | | | | | | |            (37), (38), (65), (67) are inconsistent by
% 185.38/29.89  | | | | | | | | | | | |            sub-proof #523.
% 185.38/29.89  | | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | Case 2:
% 185.38/29.89  | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | |   (68)  all_56_13 = e1 & op(e0, e2) = e1
% 185.38/29.89  | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | ALPHA: (68) implies:
% 185.38/29.89  | | | | | | | | | | |   (69)  all_56_13 = e1
% 185.38/29.89  | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | COMBINE_EQS: (8), (69) imply:
% 185.38/29.89  | | | | | | | | | | |   (70)  e3 = e1
% 185.38/29.89  | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | | REF_CLOSE: (10), (17), (19), (22), (25), (28), (32), (35),
% 185.38/29.89  | | | | | | | | | | |            (42), (55), (62), (70) are inconsistent by
% 185.38/29.89  | | | | | | | | | | |            sub-proof #549.
% 185.38/29.89  | | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | Case 2:
% 185.38/29.89  | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | |   (71)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1
% 185.38/29.89  | | | | | | | | | |           & op(e0, e0) = e1)
% 185.38/29.89  | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | | REF_CLOSE: (1), (4), (6), (7), (9), (10), (13), (17), (19),
% 185.38/29.89  | | | | | | | | | |            (22), (23), (28), (30), (35), (42), (71) are
% 185.38/29.89  | | | | | | | | | |            inconsistent by sub-proof #595.
% 185.38/29.89  | | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | | 
% 185.38/29.89  | | | | | | | | Case 2:
% 185.38/29.89  | | | | | | | | | 
% 185.38/29.89  | | | | | | | | |   (72)  all_56_7 = e0 & op(e1, e2) = e0
% 185.38/29.89  | | | | | | | | | 
% 185.38/29.89  | | | | | | | | | REF_CLOSE: (16), (22), (33), (72) are inconsistent by
% 185.38/29.89  | | | | | | | | |            sub-proof #1199.
% 185.38/29.89  | | | | | | | | | 
% 185.38/29.89  | | | | | | | | End of split
% 185.38/29.89  | | | | | | | | 
% 185.38/29.89  | | | | | | | Case 2:
% 185.38/29.89  | | | | | | | | 
% 185.38/29.89  | | | | | | | |   (73)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 &
% 185.38/29.89  | | | | | | | |           op(e1, e0) = e0)
% 185.38/29.89  | | | | | | | | 
% 185.38/29.89  | | | | | | | | REF_CLOSE: (7), (10), (22), (42), (55), (73) are inconsistent by
% 185.38/29.89  | | | | | | | |            sub-proof #1006.
% 185.38/29.89  | | | | | | | | 
% 185.38/29.89  | | | | | | | End of split
% 185.38/29.89  | | | | | | | 
% 185.38/29.89  | | | | | | Case 2:
% 185.38/29.89  | | | | | | | 
% 185.38/29.89  | | | | | | |   (74)  all_56_13 = e2 & op(e0, e2) = e2
% 185.38/29.89  | | | | | | | 
% 185.38/29.89  | | | | | | | REF_CLOSE: (8), (28), (74) are inconsistent by sub-proof #1071.
% 185.38/29.89  | | | | | | | 
% 185.38/29.89  | | | | | | End of split
% 185.38/29.89  | | | | | | 
% 185.38/29.89  | | | | | End of split
% 185.38/29.89  | | | | | 
% 185.38/29.89  | | | | End of split
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | End of split
% 185.38/29.89  | | | 
% 185.38/29.89  | | Case 2:
% 185.38/29.89  | | | 
% 185.38/29.89  | | |   (75)  all_56_3 = e1 & op(e2, e2) = e1
% 185.38/29.89  | | | 
% 185.38/29.89  | | | ALPHA: (75) implies:
% 185.38/29.89  | | |   (76)  op(e2, e2) = e1
% 185.38/29.89  | | | 
% 185.38/29.89  | | | REF_CLOSE: (7), (22), (39), (76) are inconsistent by sub-proof #1310.
% 185.38/29.89  | | | 
% 185.38/29.89  | | End of split
% 185.38/29.89  | | 
% 185.38/29.89  | Case 2:
% 185.38/29.89  | | 
% 185.38/29.89  | |   (77)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 185.38/29.89  | |           e1)
% 185.38/29.89  | | 
% 185.38/29.89  | | BETA: splitting (77) gives:
% 185.38/29.89  | | 
% 185.38/29.89  | | Case 1:
% 185.38/29.89  | | | 
% 185.38/29.89  | | |   (78)  all_56_7 = e1 & op(e1, e2) = e1
% 185.38/29.89  | | | 
% 185.38/29.89  | | | ALPHA: (78) implies:
% 185.38/29.89  | | |   (79)  all_56_7 = e1
% 185.38/29.89  | | | 
% 185.38/29.89  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9), (10), (11), (12), (13),
% 185.38/29.89  | | |            (14), (15), (16), (17), (19), (20), (22), (23), (24), (25),
% 185.38/29.89  | | |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 185.38/29.89  | | |            (39), (40), (41), (42), (79) are inconsistent by sub-proof
% 185.38/29.89  | | |            #575.
% 185.38/29.89  | | | 
% 185.38/29.89  | | Case 2:
% 185.38/29.89  | | | 
% 185.38/29.89  | | |   (80)  all_56_13 = e1 & op(e0, e2) = e1
% 185.38/29.89  | | | 
% 185.38/29.89  | | | REF_CLOSE: (8), (19), (80) are inconsistent by sub-proof #1460.
% 185.38/29.89  | | | 
% 185.38/29.89  | | End of split
% 185.38/29.89  | | 
% 185.38/29.89  | End of split
% 185.38/29.89  | 
% 185.38/29.89  End of proof
% 185.38/29.89  
% 185.38/29.89  Sub-proof #523 shows that the following formulas are inconsistent:
% 185.38/29.89  ----------------------------------------------------------------
% 185.38/29.89    (1)  op(e0, e0) = all_6_2
% 185.38/29.89    (2)   ~ (e1 = e0)
% 185.38/29.89    (3)   ~ (e3 = e0)
% 185.38/29.89    (4)   ~ (e2 = e0)
% 185.38/29.89    (5)   ~ (all_6_2 = e2)
% 185.38/29.89    (6)   ~ (all_52_7 = e0)
% 185.38/29.89    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.89           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.89    (8)  op(e0, e0) = e3
% 185.38/29.89    (9)  all_56_12 = e1
% 185.38/29.89    (10)  op(e0, e2) = all_52_7
% 185.38/29.89    (11)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.89              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.38/29.89                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.38/29.89                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.38/29.89    (12)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.38/29.89  
% 185.38/29.89  Begin of proof
% 185.38/29.89  | 
% 185.38/29.89  | BETA: splitting (12) gives:
% 185.38/29.89  | 
% 185.38/29.89  | Case 1:
% 185.38/29.89  | | 
% 185.38/29.89  | |   (13)  all_56_14 = e2 & op(e0, e1) = e2
% 185.38/29.89  | | 
% 185.38/29.89  | | ALPHA: (13) implies:
% 185.38/29.89  | |   (14)  all_56_14 = e2
% 185.38/29.89  | | 
% 185.38/29.89  | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (14) are
% 185.38/29.89  | |            inconsistent by sub-proof #1274.
% 185.38/29.89  | | 
% 185.38/29.89  | Case 2:
% 185.38/29.89  | | 
% 185.38/29.89  | |   (15)  all_56_15 = e2 & op(e0, e0) = e2
% 185.38/29.89  | | 
% 185.38/29.89  | | ALPHA: (15) implies:
% 185.38/29.89  | |   (16)  op(e0, e0) = e2
% 185.38/29.89  | | 
% 185.38/29.89  | | REF_CLOSE: (1), (5), (7), (16) are inconsistent by sub-proof #1511.
% 185.38/29.89  | | 
% 185.38/29.89  | End of split
% 185.38/29.89  | 
% 185.38/29.89  End of proof
% 185.38/29.89  
% 185.38/29.89  Sub-proof #524 shows that the following formulas are inconsistent:
% 185.38/29.89  ----------------------------------------------------------------
% 185.38/29.89    (1)  all_56_7 = e2
% 185.38/29.89    (2)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.89    (3)  all_56_6 = e0
% 185.38/29.89    (4)  all_56_13 = e3
% 185.38/29.89    (5)  all_56_11 = e3
% 185.38/29.89    (6)   ~ (e2 = e0)
% 185.38/29.89    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.89           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.89    (8)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.89         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.89    (9)   ~ (e3 = e2)
% 185.38/29.89    (10)  all_56_12 = e1
% 185.38/29.89    (11)   ~ (e2 = e1)
% 185.38/29.89    (12)  op(e1, e1) = e1
% 185.38/29.89  
% 185.38/29.89  Begin of proof
% 185.38/29.89  | 
% 185.38/29.89  | BETA: splitting (2) gives:
% 185.38/29.89  | 
% 185.38/29.89  | Case 1:
% 185.38/29.89  | | 
% 185.38/29.89  | |   (13)  all_56_12 = e2 & op(e0, e3) = e2
% 185.38/29.89  | | 
% 185.38/29.89  | | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13) are
% 185.38/29.89  | |            inconsistent by sub-proof #525.
% 185.38/29.89  | | 
% 185.38/29.89  | Case 2:
% 185.38/29.89  | | 
% 185.38/29.89  | |   (14)  all_56_13 = e2 & op(e0, e2) = e2
% 185.38/29.89  | | 
% 185.38/29.89  | | ALPHA: (14) implies:
% 185.38/29.89  | |   (15)  all_56_13 = e2
% 185.38/29.89  | | 
% 185.38/29.89  | | REF_CLOSE: (4), (9), (15) are inconsistent by sub-proof #1121.
% 185.38/29.89  | | 
% 185.38/29.89  | End of split
% 185.38/29.89  | 
% 185.38/29.89  End of proof
% 185.38/29.89  
% 185.38/29.89  Sub-proof #525 shows that the following formulas are inconsistent:
% 185.38/29.89  ----------------------------------------------------------------
% 185.38/29.89    (1)  all_56_7 = e2
% 185.38/29.89    (2)  all_56_6 = e0
% 185.38/29.89    (3)  all_56_11 = e3
% 185.38/29.89    (4)   ~ (e2 = e0)
% 185.38/29.89    (5)  all_56_12 = e2 & op(e0, e3) = e2
% 185.38/29.89    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.89           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.89    (7)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.89         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.89    (8)   ~ (e3 = e2)
% 185.38/29.89    (9)  all_56_12 = e1
% 185.38/29.89    (10)   ~ (e2 = e1)
% 185.38/29.89    (11)  op(e1, e1) = e1
% 185.38/29.89  
% 185.38/29.89  Begin of proof
% 185.38/29.89  | 
% 185.38/29.89  | ALPHA: (5) implies:
% 185.38/29.89  |   (12)  all_56_12 = e2
% 185.38/29.89  | 
% 185.38/29.89  | COMBINE_EQS: (9), (12) imply:
% 185.38/29.89  |   (13)  e2 = e1
% 185.38/29.89  | 
% 185.38/29.89  | COMBINE_EQS: (1), (13) imply:
% 185.38/29.89  |   (14)  all_56_7 = e1
% 185.38/29.89  | 
% 185.38/29.89  | REF_CLOSE: (2), (3), (4), (6), (7), (8), (10), (11), (14) are inconsistent by
% 185.38/29.89  |            sub-proof #1007.
% 185.38/29.89  | 
% 185.38/29.89  End of proof
% 185.38/29.89  
% 185.38/29.89  Sub-proof #526 shows that the following formulas are inconsistent:
% 185.38/29.89  ----------------------------------------------------------------
% 185.38/29.89    (1)  op(e0, e2) = all_12_1
% 185.38/29.89    (2)   ~ (all_12_1 = e0)
% 185.38/29.89    (3)   ~ (e2 = e0)
% 185.38/29.89    (4)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.89         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.89    (5)   ~ (all_52_4 = all_52_7)
% 185.38/29.89    (6)   ~ (all_12_1 = e3)
% 185.38/29.89    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.89           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.89    (8)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.38/29.89    (9)   ~ (e3 = e2)
% 185.38/29.89    (10)  all_54_13 = all_12_1
% 185.38/29.89    (11)   ~ (all_12_1 = e1)
% 185.38/29.89    (12)  op(e3, e2) = all_52_4
% 185.38/29.89    (13)   ~ (e2 = e1)
% 185.38/29.89    (14)  all_56_13 = e1
% 185.38/29.89    (15)  op(e0, e2) = all_52_7
% 185.38/29.89    (16)  all_56_7 = e3
% 185.38/29.89    (17)  op(e2, e2) = e0
% 185.38/29.89  
% 185.38/29.89  Begin of proof
% 185.38/29.89  | 
% 185.38/29.89  | BETA: splitting (4) gives:
% 185.38/29.89  | 
% 185.38/29.89  | Case 1:
% 185.38/29.89  | | 
% 185.38/29.89  | |   (18)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 185.38/29.89  | |           e2)
% 185.38/29.89  | | 
% 185.38/29.89  | | BETA: splitting (18) gives:
% 185.38/29.89  | | 
% 185.38/29.89  | | Case 1:
% 185.38/29.89  | | | 
% 185.38/29.89  | | |   (19)  all_56_1 = e2 & op(e3, e2) = e2
% 185.38/29.89  | | | 
% 185.38/29.89  | | | ALPHA: (19) implies:
% 185.38/29.89  | | |   (20)  op(e3, e2) = e2
% 185.38/29.89  | | | 
% 185.38/29.89  | | | BETA: splitting (8) gives:
% 185.38/29.89  | | | 
% 185.38/29.89  | | | Case 1:
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | |   (21)  all_54_13 = e3
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | | REF_CLOSE: (6), (10), (21) are inconsistent by sub-proof #536.
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | Case 2:
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | |   (22)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | | REF_CLOSE: (1), (2), (5), (7), (10), (11), (12), (15), (20), (22) are
% 185.38/29.89  | | | |            inconsistent by sub-proof #534.
% 185.38/29.89  | | | | 
% 185.38/29.89  | | | End of split
% 185.38/29.89  | | | 
% 185.38/29.89  | | Case 2:
% 185.38/29.89  | | | 
% 185.38/29.89  | | |   (23)  all_56_3 = e2 & op(e2, e2) = e2
% 185.38/29.89  | | | 
% 185.38/29.89  | | | ALPHA: (23) implies:
% 185.38/29.89  | | |   (24)  op(e2, e2) = e2
% 185.38/29.89  | | | 
% 185.38/29.89  | | | REF_CLOSE: (3), (7), (17), (24) are inconsistent by sub-proof #1586.
% 185.38/29.89  | | | 
% 185.38/29.89  | | End of split
% 185.38/29.89  | | 
% 185.38/29.89  | Case 2:
% 185.38/29.89  | | 
% 185.38/29.89  | |   (25)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 185.38/29.89  | |           e2)
% 185.38/29.89  | | 
% 185.38/29.89  | | REF_CLOSE: (9), (13), (14), (16), (25) are inconsistent by sub-proof #1429.
% 185.38/29.89  | | 
% 185.38/29.89  | End of split
% 185.38/29.89  | 
% 185.38/29.89  End of proof
% 185.38/29.89  
% 185.38/29.89  Sub-proof #527 shows that the following formulas are inconsistent:
% 185.38/29.89  ----------------------------------------------------------------
% 185.38/29.89    (1)   ~ (e1 = e0)
% 185.38/29.89    (2)   ~ (e3 = e0)
% 185.38/29.89    (3)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 185.38/29.89         (all_56_14 = e0 & op(e0, e1) = e0)
% 185.38/29.89    (4)   ~ (e3 = e1)
% 185.38/29.89    (5)  all_56_15 = e2
% 185.38/29.89    (6)   ~ (all_52_7 = e0)
% 185.38/29.89    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.89           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.89    (8)   ~ (e3 = e2)
% 185.38/29.89    (9)  all_56_12 = e1
% 185.38/29.89    (10)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.38/29.89          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.89            e3)
% 185.38/29.89    (11)  all_56_13 = e2
% 185.38/29.89    (12)  op(e0, e2) = all_52_7
% 185.38/29.89  
% 185.38/29.89  Begin of proof
% 185.38/29.89  | 
% 185.38/29.89  | BETA: splitting (3) gives:
% 185.38/29.89  | 
% 185.38/29.89  | Case 1:
% 185.38/29.89  | | 
% 185.38/29.89  | |   (13)  all_56_12 = e0 & op(e0, e3) = e0
% 185.38/29.89  | | 
% 185.38/29.89  | | ALPHA: (13) implies:
% 185.38/29.89  | |   (14)  all_56_12 = e0
% 185.38/29.89  | | 
% 185.38/29.89  | | REF_CLOSE: (1), (9), (14) are inconsistent by sub-proof #532.
% 185.38/29.89  | | 
% 185.38/29.89  | Case 2:
% 185.38/29.89  | | 
% 185.38/29.89  | |   (15)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.38/29.89  | |           e0)
% 185.38/29.89  | | 
% 185.38/29.89  | | BETA: splitting (15) gives:
% 185.38/29.89  | | 
% 185.38/29.89  | | Case 1:
% 185.38/29.89  | | | 
% 185.38/29.89  | | |   (16)  all_56_13 = e0 & op(e0, e2) = e0
% 185.38/29.89  | | | 
% 185.38/29.89  | | | ALPHA: (16) implies:
% 185.38/29.89  | | |   (17)  op(e0, e2) = e0
% 185.38/29.89  | | | 
% 185.38/29.89  | | | REF_CLOSE: (6), (7), (12), (17) are inconsistent by sub-proof #1463.
% 185.38/29.89  | | | 
% 185.38/29.89  | | Case 2:
% 185.38/29.89  | | | 
% 185.38/29.89  | | |   (18)  all_56_14 = e0 & op(e0, e1) = e0
% 185.38/29.89  | | | 
% 185.38/29.90  | | | ALPHA: (18) implies:
% 185.38/29.90  | | |   (19)  all_56_14 = e0
% 185.38/29.90  | | | 
% 185.38/29.90  | | | REF_CLOSE: (2), (4), (5), (8), (9), (10), (11), (19) are inconsistent by
% 185.38/29.90  | | |            sub-proof #528.
% 185.38/29.90  | | | 
% 185.38/29.90  | | End of split
% 185.38/29.90  | | 
% 185.38/29.90  | End of split
% 185.38/29.90  | 
% 185.38/29.90  End of proof
% 185.38/29.90  
% 185.38/29.90  Sub-proof #528 shows that the following formulas are inconsistent:
% 185.38/29.90  ----------------------------------------------------------------
% 185.38/29.90    (1)   ~ (e3 = e0)
% 185.38/29.90    (2)   ~ (e3 = e1)
% 185.38/29.90    (3)  all_56_15 = e2
% 185.38/29.90    (4)   ~ (e3 = e2)
% 185.38/29.90    (5)  all_56_12 = e1
% 185.38/29.90    (6)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 185.38/29.90         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.38/29.90    (7)  all_56_13 = e2
% 185.38/29.90    (8)  all_56_14 = e0
% 185.38/29.90  
% 185.38/29.90  Begin of proof
% 185.38/29.90  | 
% 185.38/29.90  | BETA: splitting (6) gives:
% 185.38/29.90  | 
% 185.38/29.90  | Case 1:
% 185.38/29.90  | | 
% 185.38/29.90  | |   (9)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 185.38/29.90  | |          e3)
% 185.38/29.90  | | 
% 185.38/29.90  | | REF_CLOSE: (2), (4), (5), (7), (9) are inconsistent by sub-proof #531.
% 185.38/29.90  | | 
% 185.38/29.90  | Case 2:
% 185.38/29.90  | | 
% 185.38/29.90  | |   (10)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.38/29.90  | |           e3)
% 185.38/29.90  | | 
% 185.38/29.90  | | BETA: splitting (10) gives:
% 185.38/29.90  | | 
% 185.38/29.90  | | Case 1:
% 185.38/29.90  | | | 
% 185.38/29.90  | | |   (11)  all_56_14 = e3 & op(e0, e1) = e3
% 185.38/29.90  | | | 
% 185.38/29.90  | | | REF_CLOSE: (1), (8), (11) are inconsistent by sub-proof #530.
% 185.38/29.90  | | | 
% 185.38/29.90  | | Case 2:
% 185.38/29.90  | | | 
% 185.38/29.90  | | |   (12)  all_56_15 = e3 & op(e0, e0) = e3
% 185.38/29.90  | | | 
% 185.38/29.90  | | | REF_CLOSE: (3), (4), (12) are inconsistent by sub-proof #529.
% 185.38/29.90  | | | 
% 185.38/29.90  | | End of split
% 185.38/29.90  | | 
% 185.38/29.90  | End of split
% 185.38/29.90  | 
% 185.38/29.90  End of proof
% 185.38/29.90  
% 185.38/29.90  Sub-proof #529 shows that the following formulas are inconsistent:
% 185.38/29.90  ----------------------------------------------------------------
% 185.38/29.90    (1)  all_56_15 = e3 & op(e0, e0) = e3
% 185.38/29.90    (2)  all_56_15 = e2
% 185.38/29.90    (3)   ~ (e3 = e2)
% 185.38/29.90  
% 185.38/29.90  Begin of proof
% 185.38/29.90  | 
% 185.38/29.90  | ALPHA: (1) implies:
% 185.38/29.90  |   (4)  all_56_15 = e3
% 185.38/29.90  | 
% 185.38/29.90  | COMBINE_EQS: (2), (4) imply:
% 185.38/29.90  |   (5)  e3 = e2
% 185.38/29.90  | 
% 185.38/29.90  | REDUCE: (3), (5) imply:
% 185.38/29.90  |   (6)  $false
% 185.38/29.90  | 
% 185.38/29.90  | CLOSE: (6) is inconsistent.
% 185.38/29.90  | 
% 185.38/29.90  End of proof
% 185.38/29.90  
% 185.38/29.90  Sub-proof #530 shows that the following formulas are inconsistent:
% 185.38/29.90  ----------------------------------------------------------------
% 185.38/29.90    (1)  all_56_14 = e3 & op(e0, e1) = e3
% 185.38/29.90    (2)  all_56_14 = e0
% 185.38/29.90    (3)   ~ (e3 = e0)
% 185.38/29.90  
% 185.38/29.90  Begin of proof
% 185.38/29.90  | 
% 185.38/29.90  | ALPHA: (1) implies:
% 185.38/29.90  |   (4)  all_56_14 = e3
% 185.38/29.90  | 
% 185.38/29.90  | COMBINE_EQS: (2), (4) imply:
% 185.38/29.90  |   (5)  e3 = e0
% 185.38/29.90  | 
% 185.38/29.90  | REDUCE: (3), (5) imply:
% 185.38/29.90  |   (6)  $false
% 185.38/29.90  | 
% 185.38/29.90  | CLOSE: (6) is inconsistent.
% 185.38/29.90  | 
% 185.38/29.90  End of proof
% 185.38/29.90  
% 185.38/29.90  Sub-proof #531 shows that the following formulas are inconsistent:
% 185.38/29.90  ----------------------------------------------------------------
% 185.38/29.90    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.38/29.90    (2)   ~ (e3 = e1)
% 185.38/29.90    (3)   ~ (e3 = e2)
% 185.38/29.90    (4)  all_56_12 = e1
% 185.38/29.90    (5)  all_56_13 = e2
% 185.38/29.90  
% 185.38/29.90  Begin of proof
% 185.38/29.90  | 
% 185.38/29.90  | BETA: splitting (1) gives:
% 185.38/29.90  | 
% 185.38/29.90  | Case 1:
% 185.38/29.90  | | 
% 185.38/29.90  | |   (6)  all_56_12 = e3 & op(e0, e3) = e3
% 185.38/29.90  | | 
% 185.38/29.90  | | ALPHA: (6) implies:
% 185.38/29.90  | |   (7)  all_56_12 = e3
% 185.38/29.90  | | 
% 185.38/29.90  | | COMBINE_EQS: (4), (7) imply:
% 185.38/29.90  | |   (8)  e3 = e1
% 185.38/29.90  | | 
% 185.38/29.90  | | SIMP: (8) implies:
% 185.38/29.90  | |   (9)  e3 = e1
% 185.38/29.90  | | 
% 185.38/29.90  | | REDUCE: (2), (9) imply:
% 185.38/29.90  | |   (10)  $false
% 185.38/29.90  | | 
% 185.38/29.90  | | CLOSE: (10) is inconsistent.
% 185.38/29.90  | | 
% 185.38/29.90  | Case 2:
% 185.38/29.90  | | 
% 185.38/29.90  | |   (11)  all_56_13 = e3 & op(e0, e2) = e3
% 185.38/29.90  | | 
% 185.38/29.90  | | REF_CLOSE: (3), (5), (11) are inconsistent by sub-proof #760.
% 185.38/29.90  | | 
% 185.38/29.90  | End of split
% 185.38/29.90  | 
% 185.38/29.90  End of proof
% 185.38/29.90  
% 185.38/29.90  Sub-proof #532 shows that the following formulas are inconsistent:
% 185.38/29.90  ----------------------------------------------------------------
% 185.38/29.90    (1)  all_56_12 = e1
% 185.38/29.90    (2)  all_56_12 = e0
% 185.38/29.90    (3)   ~ (e1 = e0)
% 185.38/29.90  
% 185.38/29.90  Begin of proof
% 185.38/29.90  | 
% 185.38/29.90  | COMBINE_EQS: (1), (2) imply:
% 185.38/29.90  |   (4)  e1 = e0
% 185.38/29.90  | 
% 185.38/29.90  | SIMP: (4) implies:
% 185.38/29.90  |   (5)  e1 = e0
% 185.38/29.90  | 
% 185.38/29.90  | REDUCE: (3), (5) imply:
% 185.38/29.90  |   (6)  $false
% 185.38/29.90  | 
% 185.38/29.90  | CLOSE: (6) is inconsistent.
% 185.38/29.90  | 
% 185.38/29.90  End of proof
% 185.38/29.90  
% 185.38/29.90  Sub-proof #533 shows that the following formulas are inconsistent:
% 185.38/29.90  ----------------------------------------------------------------
% 185.38/29.90    (1)  op(e0, e2) = all_12_1
% 185.38/29.90    (2)   ~ (all_12_1 = e0)
% 185.38/29.90    (3)   ~ (all_52_4 = all_52_7)
% 185.38/29.90    (4)   ~ (all_12_1 = e3)
% 185.38/29.90    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.90           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.90    (6)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.38/29.90    (7)  all_54_13 = all_12_1
% 185.38/29.90    (8)   ~ (all_12_1 = e1)
% 185.38/29.90    (9)  op(e3, e2) = all_52_4
% 185.38/29.90    (10)  op(e3, e2) = e2
% 185.38/29.90    (11)  op(e0, e2) = all_52_7
% 185.38/29.90  
% 185.38/29.90  Begin of proof
% 185.38/29.90  | 
% 185.38/29.90  | BETA: splitting (6) gives:
% 185.38/29.90  | 
% 185.38/29.90  | Case 1:
% 185.38/29.90  | | 
% 185.38/29.90  | |   (12)  all_54_13 = e3
% 185.38/29.90  | | 
% 185.38/29.90  | | REF_CLOSE: (4), (7), (12) are inconsistent by sub-proof #536.
% 185.38/29.90  | | 
% 185.38/29.90  | Case 2:
% 185.38/29.90  | | 
% 185.38/29.90  | |   (13)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.38/29.90  | | 
% 185.38/29.90  | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (10), (11), (13) are
% 185.38/29.90  | |            inconsistent by sub-proof #534.
% 185.38/29.90  | | 
% 185.38/29.90  | End of split
% 185.38/29.90  | 
% 185.38/29.90  End of proof
% 185.38/29.90  
% 185.38/29.90  Sub-proof #534 shows that the following formulas are inconsistent:
% 185.38/29.90  ----------------------------------------------------------------
% 185.38/29.90    (1)  op(e0, e2) = all_12_1
% 185.38/29.90    (2)   ~ (all_12_1 = e0)
% 185.38/29.90    (3)   ~ (all_52_4 = all_52_7)
% 185.38/29.90    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.90           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.90    (5)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.38/29.90    (6)  all_54_13 = all_12_1
% 185.38/29.90    (7)   ~ (all_12_1 = e1)
% 185.38/29.90    (8)  op(e3, e2) = all_52_4
% 185.38/29.90    (9)  op(e3, e2) = e2
% 185.38/29.90    (10)  op(e0, e2) = all_52_7
% 185.38/29.90  
% 185.38/29.90  Begin of proof
% 185.38/29.90  | 
% 185.38/29.90  | BETA: splitting (5) gives:
% 185.38/29.90  | 
% 185.38/29.90  | Case 1:
% 185.38/29.90  | | 
% 185.38/29.90  | |   (11)  all_54_13 = e2
% 185.38/29.90  | | 
% 185.38/29.90  | | COMBINE_EQS: (6), (11) imply:
% 185.38/29.90  | |   (12)  all_12_1 = e2
% 185.38/29.90  | | 
% 185.38/29.90  | | SIMP: (12) implies:
% 185.38/29.90  | |   (13)  all_12_1 = e2
% 185.38/29.90  | | 
% 185.38/29.90  | | REDUCE: (1), (13) imply:
% 185.38/29.90  | |   (14)  op(e0, e2) = e2
% 185.38/29.90  | | 
% 185.38/29.90  | | REF_CLOSE: (3), (4), (8), (9), (10), (14) are inconsistent by sub-proof
% 185.38/29.90  | |            #1342.
% 185.38/29.90  | | 
% 185.38/29.90  | Case 2:
% 185.38/29.90  | | 
% 185.38/29.90  | |   (15)  all_54_13 = e1 | all_54_13 = e0
% 185.38/29.90  | | 
% 185.38/29.90  | | REF_CLOSE: (2), (6), (7), (15) are inconsistent by sub-proof #535.
% 185.38/29.90  | | 
% 185.38/29.90  | End of split
% 185.38/29.90  | 
% 185.38/29.90  End of proof
% 185.38/29.90  
% 185.38/29.90  Sub-proof #535 shows that the following formulas are inconsistent:
% 185.38/29.90  ----------------------------------------------------------------
% 185.38/29.90    (1)  all_54_13 = e1 | all_54_13 = e0
% 185.38/29.90    (2)  all_54_13 = all_12_1
% 185.38/29.90    (3)   ~ (all_12_1 = e1)
% 185.38/29.90    (4)   ~ (all_12_1 = e0)
% 185.38/29.90  
% 185.38/29.90  Begin of proof
% 185.38/29.90  | 
% 185.38/29.90  | BETA: splitting (1) gives:
% 185.38/29.90  | 
% 185.38/29.90  | Case 1:
% 185.38/29.90  | | 
% 185.38/29.90  | |   (5)  all_54_13 = e1
% 185.38/29.90  | | 
% 185.38/29.90  | | COMBINE_EQS: (2), (5) imply:
% 185.38/29.90  | |   (6)  all_12_1 = e1
% 185.38/29.90  | | 
% 185.38/29.90  | | SIMP: (6) implies:
% 185.38/29.90  | |   (7)  all_12_1 = e1
% 185.38/29.90  | | 
% 185.38/29.90  | | REDUCE: (3), (7) imply:
% 185.38/29.90  | |   (8)  $false
% 185.38/29.90  | | 
% 185.38/29.90  | | CLOSE: (8) is inconsistent.
% 185.38/29.90  | | 
% 185.38/29.90  | Case 2:
% 185.38/29.90  | | 
% 185.38/29.90  | |   (9)  all_54_13 = e0
% 185.38/29.90  | | 
% 185.38/29.90  | | COMBINE_EQS: (2), (9) imply:
% 185.38/29.90  | |   (10)  all_12_1 = e0
% 185.38/29.90  | | 
% 185.38/29.90  | | SIMP: (10) implies:
% 185.38/29.90  | |   (11)  all_12_1 = e0
% 185.38/29.90  | | 
% 185.38/29.90  | | REDUCE: (4), (11) imply:
% 185.38/29.90  | |   (12)  $false
% 185.38/29.90  | | 
% 185.38/29.90  | | CLOSE: (12) is inconsistent.
% 185.38/29.90  | | 
% 185.38/29.90  | End of split
% 185.38/29.90  | 
% 185.38/29.90  End of proof
% 185.38/29.90  
% 185.38/29.90  Sub-proof #536 shows that the following formulas are inconsistent:
% 185.38/29.90  ----------------------------------------------------------------
% 185.38/29.90    (1)  all_54_13 = all_12_1
% 185.38/29.90    (2)  all_54_13 = e3
% 185.38/29.90    (3)   ~ (all_12_1 = e3)
% 185.38/29.90  
% 185.38/29.90  Begin of proof
% 185.38/29.90  | 
% 185.38/29.90  | COMBINE_EQS: (1), (2) imply:
% 185.38/29.90  |   (4)  all_12_1 = e3
% 185.38/29.90  | 
% 185.38/29.90  | SIMP: (4) implies:
% 185.38/29.90  |   (5)  all_12_1 = e3
% 185.38/29.90  | 
% 185.38/29.90  | REDUCE: (3), (5) imply:
% 185.38/29.90  |   (6)  $false
% 185.38/29.90  | 
% 185.38/29.90  | CLOSE: (6) is inconsistent.
% 185.38/29.90  | 
% 185.38/29.90  End of proof
% 185.38/29.90  
% 185.38/29.90  Sub-proof #537 shows that the following formulas are inconsistent:
% 185.38/29.90  ----------------------------------------------------------------
% 185.38/29.90    (1)  op(e0, e0) = all_6_2
% 185.38/29.90    (2)   ~ (all_6_2 = e1)
% 185.38/29.90    (3)   ~ (e1 = e0)
% 185.38/29.90    (4)   ~ (e3 = e0)
% 185.38/29.90    (5)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.38/29.90         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.90    (6)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.90         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.90    (7)  all_56_11 = e3
% 185.38/29.90    (8)   ~ (all_52_6 = e0)
% 185.38/29.90    (9)   ~ (e2 = e0)
% 185.38/29.90    (10)   ~ (e3 = e1)
% 185.38/29.90    (11)   ~ (all_6_2 = e2)
% 185.38/29.90    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.90            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.90    (13)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.90          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.90    (14)  op(e0, e0) = e3
% 185.38/29.90    (15)  op(e2, e0) = all_52_13
% 185.38/29.90    (16)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.38/29.90          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.38/29.90    (17)   ~ (e3 = e2)
% 185.38/29.90    (18)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.90          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.90    (19)  op(e1, e2) = all_52_6
% 185.38/29.90    (20)   ~ (all_52_13 = e0)
% 185.38/29.90    (21)   ~ (e2 = e1)
% 185.38/29.90    (22)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.90              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.38/29.90                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.38/29.90                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.38/29.90    (23)  op(e1, e1) = e1
% 185.38/29.90  
% 185.38/29.90  Begin of proof
% 185.38/29.90  | 
% 185.38/29.90  | BETA: splitting (22) gives:
% 185.38/29.90  | 
% 185.38/29.90  | Case 1:
% 185.38/29.90  | | 
% 185.38/29.90  | |   (24)  all_56_15 = e0 & op(e0, e0) = e0
% 185.38/29.90  | | 
% 185.38/29.90  | | ALPHA: (24) implies:
% 185.38/29.90  | |   (25)  op(e0, e0) = e0
% 185.38/29.90  | | 
% 185.38/29.90  | | REF_CLOSE: (4), (12), (14), (25) are inconsistent by sub-proof #1540.
% 185.38/29.90  | | 
% 185.38/29.90  | Case 2:
% 185.38/29.90  | | 
% 185.38/29.90  | |   (26)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 185.38/29.90  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 185.38/29.90  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 185.38/29.90  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 185.38/29.90  | | 
% 185.38/29.90  | | ALPHA: (26) implies:
% 185.38/29.90  | |   (27)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 185.38/29.90  | |           e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.90  | | 
% 185.38/29.90  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.38/29.90  | |            (13), (15), (16), (17), (18), (19), (20), (21), (23), (27) are
% 185.38/29.90  | |            inconsistent by sub-proof #538.
% 185.38/29.90  | | 
% 185.38/29.90  | End of split
% 185.38/29.90  | 
% 185.38/29.90  End of proof
% 185.38/29.90  
% 185.38/29.90  Sub-proof #538 shows that the following formulas are inconsistent:
% 185.38/29.90  ----------------------------------------------------------------
% 185.38/29.90    (1)  op(e0, e0) = all_6_2
% 185.38/29.90    (2)   ~ (all_6_2 = e1)
% 185.38/29.90    (3)   ~ (e1 = e0)
% 185.38/29.90    (4)   ~ (e3 = e0)
% 185.38/29.90    (5)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.38/29.90         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.90    (6)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.90         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.90    (7)  all_56_11 = e3
% 185.38/29.90    (8)   ~ (all_52_6 = e0)
% 185.38/29.90    (9)   ~ (e2 = e0)
% 185.38/29.90    (10)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) = e0) |
% 185.38/29.90          (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.90    (11)   ~ (e3 = e1)
% 185.38/29.90    (12)   ~ (all_6_2 = e2)
% 185.38/29.90    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.90            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.90    (14)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.90          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.90    (15)  op(e2, e0) = all_52_13
% 185.38/29.90    (16)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.38/29.90          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.38/29.90    (17)   ~ (e3 = e2)
% 185.38/29.90    (18)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.90          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.90    (19)  op(e1, e2) = all_52_6
% 185.38/29.90    (20)   ~ (all_52_13 = e0)
% 185.38/29.90    (21)   ~ (e2 = e1)
% 185.38/29.90    (22)  op(e1, e1) = e1
% 185.38/29.90  
% 185.38/29.90  Begin of proof
% 185.38/29.90  | 
% 185.38/29.90  | BETA: splitting (10) gives:
% 185.38/29.90  | 
% 185.38/29.90  | Case 1:
% 185.38/29.90  | | 
% 185.38/29.90  | |   (23)  all_56_9 = e0 & op(e3, e0) = e0
% 185.38/29.90  | | 
% 185.38/29.90  | | ALPHA: (23) implies:
% 185.38/29.90  | |   (24)  all_56_9 = e0
% 185.38/29.90  | | 
% 185.38/29.90  | | BETA: splitting (16) gives:
% 185.38/29.90  | | 
% 185.38/29.90  | | Case 1:
% 185.38/29.90  | | | 
% 185.38/29.90  | | |   (25)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 185.38/29.90  | | |           e2)
% 185.38/29.90  | | | 
% 185.38/29.90  | | | BETA: splitting (25) gives:
% 185.38/29.90  | | | 
% 185.38/29.90  | | | Case 1:
% 185.38/29.90  | | | | 
% 185.38/29.90  | | | |   (26)  all_56_9 = e2 & op(e3, e0) = e2
% 185.38/29.90  | | | | 
% 185.38/29.90  | | | | ALPHA: (26) implies:
% 185.38/29.90  | | | |   (27)  all_56_9 = e2
% 185.38/29.90  | | | | 
% 185.38/29.90  | | | | REF_CLOSE: (4), (7), (9), (10), (13), (15), (20), (27) are inconsistent
% 185.38/29.90  | | | |            by sub-proof #540.
% 185.38/29.90  | | | | 
% 185.38/29.90  | | | Case 2:
% 185.38/29.90  | | | | 
% 185.38/29.90  | | | |   (28)  all_56_10 = e2 & op(e2, e0) = e2
% 185.38/29.90  | | | | 
% 185.38/29.90  | | | | ALPHA: (28) implies:
% 185.38/29.90  | | | |   (29)  all_56_10 = e2
% 185.38/29.90  | | | | 
% 185.38/29.90  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (11), (13), (14),
% 185.38/29.90  | | | |            (17), (18), (19), (21), (22), (24), (29) are inconsistent by
% 185.38/29.90  | | | |            sub-proof #539.
% 185.38/29.90  | | | | 
% 185.38/29.90  | | | End of split
% 185.38/29.90  | | | 
% 185.38/29.90  | | Case 2:
% 185.38/29.90  | | | 
% 185.38/29.90  | | |   (30)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0)
% 185.38/29.90  | | |           = e2)
% 185.38/29.90  | | | 
% 185.38/29.90  | | | REF_CLOSE: (1), (7), (12), (13), (17), (30) are inconsistent by sub-proof
% 185.38/29.90  | | |            #1158.
% 185.38/29.90  | | | 
% 185.38/29.90  | | End of split
% 185.38/29.90  | | 
% 185.38/29.90  | Case 2:
% 185.38/29.90  | | 
% 185.38/29.90  | |   (31)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.38/29.90  | |           e0)
% 185.38/29.90  | | 
% 185.38/29.90  | | REF_CLOSE: (4), (7), (13), (15), (20), (31) are inconsistent by sub-proof
% 185.38/29.90  | |            #1202.
% 185.38/29.90  | | 
% 185.38/29.90  | End of split
% 185.38/29.90  | 
% 185.38/29.90  End of proof
% 185.38/29.90  
% 185.38/29.90  Sub-proof #539 shows that the following formulas are inconsistent:
% 185.38/29.90  ----------------------------------------------------------------
% 185.38/29.90    (1)  op(e0, e0) = all_6_2
% 185.38/29.90    (2)   ~ (all_6_2 = e1)
% 185.38/29.90    (3)  all_56_10 = e2
% 185.38/29.90    (4)   ~ (e1 = e0)
% 185.38/29.90    (5)   ~ (e3 = e0)
% 185.38/29.90    (6)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.38/29.90         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.90    (7)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.90         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.90    (8)   ~ (all_52_6 = e0)
% 185.38/29.90    (9)   ~ (e2 = e0)
% 185.38/29.90    (10)   ~ (e3 = e1)
% 185.38/29.90    (11)  all_56_9 = e0
% 185.38/29.90    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.90            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.90    (13)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.38/29.90          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.38/29.90    (14)   ~ (e3 = e2)
% 185.38/29.90    (15)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.38/29.90          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.38/29.90    (16)  op(e1, e2) = all_52_6
% 185.38/29.90    (17)   ~ (e2 = e1)
% 185.38/29.90    (18)  op(e1, e1) = e1
% 185.38/29.90  
% 185.38/29.90  Begin of proof
% 185.38/29.90  | 
% 185.38/29.90  | BETA: splitting (6) gives:
% 185.38/29.90  | 
% 185.38/29.90  | Case 1:
% 185.38/29.90  | | 
% 185.38/29.90  | |   (19)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 185.38/29.90  | |           e1)
% 185.38/29.90  | | 
% 185.38/29.90  | | BETA: splitting (19) gives:
% 185.38/29.90  | | 
% 185.38/29.90  | | Case 1:
% 185.38/29.90  | | | 
% 185.38/29.90  | | |   (20)  all_56_9 = e1 & op(e3, e0) = e1
% 185.38/29.90  | | | 
% 185.38/29.90  | | | REF_CLOSE: (4), (11), (20) are inconsistent by sub-proof #1126.
% 185.38/29.90  | | | 
% 185.38/29.90  | | Case 2:
% 185.38/29.90  | | | 
% 185.38/29.90  | | |   (21)  all_56_10 = e1 & op(e2, e0) = e1
% 185.38/29.90  | | | 
% 185.38/29.90  | | | ALPHA: (21) implies:
% 185.38/29.90  | | |   (22)  all_56_10 = e1
% 185.38/29.90  | | | 
% 185.38/29.90  | | | REF_CLOSE: (3), (17), (22) are inconsistent by sub-proof #1064.
% 185.38/29.90  | | | 
% 185.38/29.90  | | End of split
% 185.38/29.90  | | 
% 185.38/29.90  | Case 2:
% 185.38/29.90  | | 
% 185.38/29.90  | |   (23)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.38/29.90  | |           e1)
% 185.38/29.90  | | 
% 185.38/29.90  | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (12), (13), (14), (15),
% 185.38/29.90  | |            (16), (17), (18), (23) are inconsistent by sub-proof #543.
% 185.38/29.90  | | 
% 185.38/29.90  | End of split
% 185.38/29.90  | 
% 185.38/29.90  End of proof
% 185.38/29.90  
% 185.38/29.90  Sub-proof #540 shows that the following formulas are inconsistent:
% 185.38/29.90  ----------------------------------------------------------------
% 185.38/29.90    (1)  all_56_9 = e2
% 185.38/29.90    (2)   ~ (e3 = e0)
% 185.38/29.90    (3)  all_56_11 = e3
% 185.38/29.90    (4)   ~ (e2 = e0)
% 185.38/29.90    (5)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) = e0) |
% 185.38/29.90         (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.90    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.90           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.38/29.90    (7)  op(e2, e0) = all_52_13
% 185.38/29.90    (8)   ~ (all_52_13 = e0)
% 185.38/29.90  
% 185.38/29.90  Begin of proof
% 185.38/29.90  | 
% 185.38/29.90  | BETA: splitting (5) gives:
% 185.38/29.90  | 
% 185.38/29.90  | Case 1:
% 185.38/29.90  | | 
% 185.38/29.90  | |   (9)  all_56_9 = e0 & op(e3, e0) = e0
% 185.38/29.90  | | 
% 185.38/29.90  | | REF_CLOSE: (1), (4), (9) are inconsistent by sub-proof #1574.
% 185.38/29.90  | | 
% 185.38/29.90  | Case 2:
% 185.38/29.90  | | 
% 185.38/29.90  | |   (10)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.38/29.90  | |           e0)
% 185.38/29.90  | | 
% 185.38/29.90  | | REF_CLOSE: (2), (3), (6), (7), (8), (10) are inconsistent by sub-proof
% 185.38/29.90  | |            #1202.
% 185.38/29.90  | | 
% 185.38/29.90  | End of split
% 185.38/29.90  | 
% 185.38/29.90  End of proof
% 185.38/29.90  
% 185.38/29.90  Sub-proof #541 shows that the following formulas are inconsistent:
% 185.38/29.90  ----------------------------------------------------------------
% 185.38/29.90    (1)  op(e0, e0) = all_6_2
% 185.38/29.90    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.38/29.90         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.38/29.90    (3)   ~ (all_4_2 = e0)
% 185.38/29.90    (4)   ~ (all_6_2 = e1)
% 185.38/29.90    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.38/29.90         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.38/29.90    (6)   ~ (e1 = e0)
% 185.38/29.90    (7)   ~ (all_52_9 = e0)
% 185.38/29.90    (8)   ~ (e3 = e0)
% 185.38/29.90    (9)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.38/29.90         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.38/29.90    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.38/29.90          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.38/29.90    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.38/29.90          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.38/29.90    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.38/29.90          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.38/29.90    (13)  op(e2, e1) = all_52_9
% 185.38/29.90    (14)  all_56_5 = e3
% 185.38/29.90    (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.38/29.90          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.38/29.90    (16)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.38/29.90          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.38/29.90    (17)   ~ (all_52_6 = e0)
% 185.38/29.90    (18)   ~ (e2 = e0)
% 185.38/29.90    (19)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.38/29.90          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.38/29.90    (20)   ~ (e3 = e1)
% 185.38/29.90    (21)   ~ (all_52_4 = all_52_7)
% 185.38/29.90    (22)   ~ (all_6_2 = e2)
% 185.38/29.90    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.38/29.90            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.90    (24)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.90          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.90    (25)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.90          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.90    (26)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.90          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.90    (27)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.90          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.90    (28)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.90          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.90    (29)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.90          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.90            e1)
% 185.48/29.90    (30)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.48/29.90          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.48/29.90    (31)   ~ (e3 = e2)
% 185.48/29.90    (32)  op(e3, e3) = all_4_2
% 185.48/29.90    (33)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.90          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.90    (34)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.90          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.90    (35)  op(e3, e2) = all_52_4
% 185.48/29.90    (36)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.48/29.90          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.48/29.90    (37)  op(e1, e2) = all_52_6
% 185.48/29.90    (38)   ~ (all_52_4 = e0)
% 185.48/29.90    (39)  op(e3, e3) = e3
% 185.48/29.90    (40)  op(e2, e1) = e3
% 185.48/29.90    (41)   ~ (e2 = e1)
% 185.48/29.90    (42)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.90          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.90            e2)
% 185.48/29.90    (43)  op(e0, e2) = all_52_7
% 185.48/29.90    (44)  all_56_7 = e3
% 185.48/29.90    (45)  op(e2, e2) = e0
% 185.48/29.90    (46)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.90    (47)   ~ (all_4_2 = e1)
% 185.48/29.90    (48)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.90          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.90    (49)  op(e1, e1) = e1
% 185.48/29.90  
% 185.48/29.90  Begin of proof
% 185.48/29.90  | 
% 185.48/29.90  | BETA: splitting (46) gives:
% 185.48/29.90  | 
% 185.48/29.90  | Case 1:
% 185.48/29.90  | | 
% 185.48/29.90  | |   (50)  all_56_9 = e3 & op(e3, e0) = e3
% 185.48/29.90  | | 
% 185.48/29.90  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 185.48/29.90  | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 185.48/29.90  | |            (26), (27), (28), (29), (31), (32), (33), (34), (35), (36), (37),
% 185.48/29.90  | |            (38), (39), (41), (42), (43), (44), (45), (47), (48), (49), (50)
% 185.48/29.90  | |            are inconsistent by sub-proof #570.
% 185.48/29.90  | | 
% 185.48/29.90  | Case 2:
% 185.48/29.90  | | 
% 185.48/29.90  | |   (51)  all_56_10 = e3 & op(e2, e0) = e3
% 185.48/29.90  | | 
% 185.48/29.90  | | ALPHA: (51) implies:
% 185.48/29.90  | |   (52)  all_56_10 = e3
% 185.48/29.90  | | 
% 185.48/29.90  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 185.48/29.90  | |            (14), (15), (16), (17), (18), (20), (22), (23), (24), (26), (27),
% 185.48/29.90  | |            (29), (30), (31), (32), (33), (34), (36), (37), (39), (40), (41),
% 185.48/29.90  | |            (42), (44), (45), (47), (48), (49), (52) are inconsistent by
% 185.48/29.90  | |            sub-proof #542.
% 185.48/29.90  | | 
% 185.48/29.90  | End of split
% 185.48/29.90  | 
% 185.48/29.90  End of proof
% 185.48/29.90  
% 185.48/29.90  Sub-proof #542 shows that the following formulas are inconsistent:
% 185.48/29.90  ----------------------------------------------------------------
% 185.48/29.90    (1)  op(e0, e0) = all_6_2
% 185.48/29.90    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.48/29.90         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.48/29.90    (3)  all_56_10 = e3
% 185.48/29.90    (4)   ~ (all_4_2 = e0)
% 185.48/29.90    (5)   ~ (all_6_2 = e1)
% 185.48/29.90    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.90         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.90    (7)   ~ (e1 = e0)
% 185.48/29.90    (8)   ~ (all_52_9 = e0)
% 185.48/29.90    (9)   ~ (e3 = e0)
% 185.48/29.90    (10)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.48/29.90          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.48/29.90    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.90          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.90    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.90          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.90    (13)  op(e2, e1) = all_52_9
% 185.48/29.90    (14)  all_56_5 = e3
% 185.48/29.90    (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.48/29.90          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.48/29.90    (16)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.90          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.48/29.90    (17)   ~ (all_52_6 = e0)
% 185.48/29.90    (18)   ~ (e2 = e0)
% 185.48/29.90    (19)   ~ (e3 = e1)
% 185.48/29.90    (20)   ~ (all_6_2 = e2)
% 185.48/29.90    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.90            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.90    (22)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.90          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.90    (23)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.90          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.90    (24)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.90          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.90    (25)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.90          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.90            e1)
% 185.48/29.90    (26)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.48/29.90          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.48/29.90    (27)   ~ (e3 = e2)
% 185.48/29.90    (28)  op(e3, e3) = all_4_2
% 185.48/29.90    (29)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.90          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.90    (30)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.90          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.90    (31)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.48/29.90          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.48/29.90    (32)  op(e1, e2) = all_52_6
% 185.48/29.90    (33)  op(e3, e3) = e3
% 185.48/29.90    (34)  op(e2, e1) = e3
% 185.48/29.90    (35)   ~ (e2 = e1)
% 185.48/29.90    (36)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.90          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.90            e2)
% 185.48/29.90    (37)  all_56_7 = e3
% 185.48/29.90    (38)  op(e2, e2) = e0
% 185.48/29.90    (39)   ~ (all_4_2 = e1)
% 185.48/29.90    (40)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.90          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.91    (41)  op(e1, e1) = e1
% 185.48/29.91  
% 185.48/29.91  Begin of proof
% 185.48/29.91  | 
% 185.48/29.91  | BETA: splitting (16) gives:
% 185.48/29.91  | 
% 185.48/29.91  | Case 1:
% 185.48/29.91  | | 
% 185.48/29.91  | |   (42)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 185.48/29.91  | |           e1)
% 185.48/29.91  | | 
% 185.48/29.91  | | BETA: splitting (42) gives:
% 185.48/29.91  | | 
% 185.48/29.91  | | Case 1:
% 185.48/29.91  | | | 
% 185.48/29.91  | | |   (43)  all_56_2 = e1 & op(e2, e3) = e1
% 185.48/29.91  | | | 
% 185.48/29.91  | | | ALPHA: (43) implies:
% 185.48/29.91  | | |   (44)  all_56_2 = e1
% 185.48/29.91  | | | 
% 185.48/29.91  | | | BETA: splitting (10) gives:
% 185.48/29.91  | | | 
% 185.48/29.91  | | | Case 1:
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | |   (45)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0)
% 185.48/29.91  | | | |           = e1)
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | | BETA: splitting (45) gives:
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | | Case 1:
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | |   (46)  all_56_9 = e1 & op(e3, e0) = e1
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | | ALPHA: (46) implies:
% 185.48/29.91  | | | | |   (47)  all_56_9 = e1
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | | BETA: splitting (26) gives:
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | | Case 1:
% 185.48/29.91  | | | | | | 
% 185.48/29.91  | | | | | |   (48)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2,
% 185.48/29.91  | | | | | |             e0) = e2)
% 185.48/29.91  | | | | | | 
% 185.48/29.91  | | | | | | REF_CLOSE: (3), (27), (35), (47), (48) are inconsistent by sub-proof
% 185.48/29.91  | | | | | |            #1501.
% 185.48/29.91  | | | | | | 
% 185.48/29.91  | | | | | Case 2:
% 185.48/29.91  | | | | | | 
% 185.48/29.91  | | | | | |   (49)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 &
% 185.48/29.91  | | | | | |           op(e0, e0) = e2)
% 185.48/29.91  | | | | | | 
% 185.48/29.91  | | | | | | BETA: splitting (49) gives:
% 185.48/29.91  | | | | | | 
% 185.48/29.91  | | | | | | Case 1:
% 185.48/29.91  | | | | | | | 
% 185.48/29.91  | | | | | | |   (50)  all_56_11 = e2 & op(e1, e0) = e2
% 185.48/29.91  | | | | | | | 
% 185.48/29.91  | | | | | | | ALPHA: (50) implies:
% 185.48/29.91  | | | | | | |   (51)  all_56_11 = e2
% 185.48/29.91  | | | | | | | 
% 185.48/29.91  | | | | | | | BETA: splitting (15) gives:
% 185.48/29.91  | | | | | | | 
% 185.48/29.91  | | | | | | | Case 1:
% 185.48/29.91  | | | | | | | | 
% 185.48/29.91  | | | | | | | |   (52)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 &
% 185.48/29.91  | | | | | | | |           op(e1, e2) = e0)
% 185.48/29.91  | | | | | | | | 
% 185.48/29.91  | | | | | | | | BETA: splitting (52) gives:
% 185.48/29.91  | | | | | | | | 
% 185.48/29.91  | | | | | | | | Case 1:
% 185.48/29.91  | | | | | | | | | 
% 185.48/29.91  | | | | | | | | |   (53)  all_56_6 = e0 & op(e1, e3) = e0
% 185.48/29.91  | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | ALPHA: (53) implies:
% 185.48/29.91  | | | | | | | | |   (54)  all_56_6 = e0
% 185.48/29.91  | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | BETA: splitting (23) gives:
% 185.48/29.91  | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | Case 1:
% 185.48/29.91  | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | |   (55)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 &
% 185.48/29.91  | | | | | | | | | |           op(e2, e2) = e2)
% 185.48/29.91  | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | BETA: splitting (55) gives:
% 185.48/29.91  | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | Case 1:
% 185.48/29.91  | | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | |   (56)  all_56_2 = e2 & op(e2, e3) = e2
% 185.48/29.91  | | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | | ALPHA: (56) implies:
% 185.48/29.91  | | | | | | | | | | |   (57)  all_56_2 = e2
% 185.48/29.91  | | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | | COMBINE_EQS: (44), (57) imply:
% 185.48/29.91  | | | | | | | | | | |   (58)  e2 = e1
% 185.48/29.91  | | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | | REF_CLOSE: (18), (21), (24), (27), (35), (37), (41), (51),
% 185.48/29.91  | | | | | | | | | | |            (54), (58) are inconsistent by sub-proof #559.
% 185.48/29.91  | | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | Case 2:
% 185.48/29.91  | | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | |   (59)  all_56_3 = e2 & op(e2, e2) = e2
% 185.48/29.91  | | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | | ALPHA: (59) implies:
% 185.48/29.91  | | | | | | | | | | |   (60)  op(e2, e2) = e2
% 185.48/29.91  | | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | | REF_CLOSE: (18), (21), (38), (60) are inconsistent by
% 185.48/29.91  | | | | | | | | | | |            sub-proof #1586.
% 185.48/29.91  | | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | End of split
% 185.48/29.91  | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | Case 2:
% 185.48/29.91  | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | |   (61)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2
% 185.48/29.91  | | | | | | | | | |           & op(e2, e0) = e2)
% 185.48/29.91  | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | BETA: splitting (61) gives:
% 185.48/29.91  | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | Case 1:
% 185.48/29.91  | | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | |   (62)  all_56_5 = e2 & op(e2, e1) = e2
% 185.48/29.91  | | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | | ALPHA: (62) implies:
% 185.48/29.91  | | | | | | | | | | |   (63)  all_56_5 = e2
% 185.48/29.91  | | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | | REF_CLOSE: (14), (27), (63) are inconsistent by sub-proof
% 185.48/29.91  | | | | | | | | | | |            #936.
% 185.48/29.91  | | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | Case 2:
% 185.48/29.91  | | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | |   (64)  all_56_10 = e2 & op(e2, e0) = e2
% 185.48/29.91  | | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | | REF_CLOSE: (3), (27), (64) are inconsistent by sub-proof
% 185.48/29.91  | | | | | | | | | | |            #1502.
% 185.48/29.91  | | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | | End of split
% 185.48/29.91  | | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | End of split
% 185.48/29.91  | | | | | | | | | 
% 185.48/29.91  | | | | | | | | Case 2:
% 185.48/29.91  | | | | | | | | | 
% 185.48/29.91  | | | | | | | | |   (65)  all_56_7 = e0 & op(e1, e2) = e0
% 185.48/29.91  | | | | | | | | | 
% 185.48/29.91  | | | | | | | | | REF_CLOSE: (17), (21), (32), (65) are inconsistent by
% 185.48/29.91  | | | | | | | | |            sub-proof #1199.
% 185.48/29.91  | | | | | | | | | 
% 185.48/29.91  | | | | | | | | End of split
% 185.48/29.91  | | | | | | | | 
% 185.48/29.91  | | | | | | | Case 2:
% 185.48/29.91  | | | | | | | | 
% 185.48/29.91  | | | | | | | |   (66)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 &
% 185.48/29.91  | | | | | | | |           op(e1, e0) = e0)
% 185.48/29.91  | | | | | | | | 
% 185.48/29.91  | | | | | | | | REF_CLOSE: (1), (3), (7), (18), (20), (21), (26), (27), (35),
% 185.48/29.91  | | | | | | | |            (41), (47), (66) are inconsistent by sub-proof #1491.
% 185.48/29.91  | | | | | | | | 
% 185.48/29.91  | | | | | | | End of split
% 185.48/29.91  | | | | | | | 
% 185.48/29.91  | | | | | | Case 2:
% 185.48/29.91  | | | | | | | 
% 185.48/29.91  | | | | | | |   (67)  all_56_15 = e2 & op(e0, e0) = e2
% 185.48/29.91  | | | | | | | 
% 185.48/29.91  | | | | | | | ALPHA: (67) implies:
% 185.48/29.91  | | | | | | |   (68)  op(e0, e0) = e2
% 185.48/29.91  | | | | | | | 
% 185.48/29.91  | | | | | | | REF_CLOSE: (1), (20), (21), (68) are inconsistent by sub-proof
% 185.48/29.91  | | | | | | |            #1511.
% 185.48/29.91  | | | | | | | 
% 185.48/29.91  | | | | | | End of split
% 185.48/29.91  | | | | | | 
% 185.48/29.91  | | | | | End of split
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | Case 2:
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | |   (69)  all_56_10 = e1 & op(e2, e0) = e1
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | | ALPHA: (69) implies:
% 185.48/29.91  | | | | |   (70)  all_56_10 = e1
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12),
% 185.48/29.91  | | | | |            (13), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 185.48/29.91  | | | | |            (24), (25), (27), (28), (29), (30), (31), (32), (33), (35),
% 185.48/29.91  | | | | |            (36), (37), (38), (39), (40), (41), (70) are inconsistent
% 185.48/29.91  | | | | |            by sub-proof #569.
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | End of split
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | Case 2:
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | |   (71)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 185.48/29.91  | | | |             e0) = e1)
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | | REF_CLOSE: (1), (5), (7), (9), (15), (17), (18), (19), (21), (24), (27),
% 185.48/29.91  | | | |            (31), (32), (35), (41), (71) are inconsistent by sub-proof
% 185.48/29.91  | | | |            #543.
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | End of split
% 185.48/29.91  | | | 
% 185.48/29.91  | | Case 2:
% 185.48/29.91  | | | 
% 185.48/29.91  | | |   (72)  all_56_3 = e1 & op(e2, e2) = e1
% 185.48/29.91  | | | 
% 185.48/29.91  | | | ALPHA: (72) implies:
% 185.48/29.91  | | |   (73)  op(e2, e2) = e1
% 185.48/29.91  | | | 
% 185.48/29.91  | | | REF_CLOSE: (7), (21), (38), (73) are inconsistent by sub-proof #1310.
% 185.48/29.91  | | | 
% 185.48/29.91  | | End of split
% 185.48/29.91  | | 
% 185.48/29.91  | Case 2:
% 185.48/29.91  | | 
% 185.48/29.91  | |   (74)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 185.48/29.91  | |           e1)
% 185.48/29.91  | | 
% 185.48/29.91  | | BETA: splitting (74) gives:
% 185.48/29.91  | | 
% 185.48/29.91  | | Case 1:
% 185.48/29.91  | | | 
% 185.48/29.91  | | |   (75)  all_56_5 = e1 & op(e2, e1) = e1
% 185.48/29.91  | | | 
% 185.48/29.91  | | | ALPHA: (75) implies:
% 185.48/29.91  | | |   (76)  op(e2, e1) = e1
% 185.48/29.91  | | | 
% 185.48/29.91  | | | REF_CLOSE: (19), (21), (34), (76) are inconsistent by sub-proof #1456.
% 185.48/29.91  | | | 
% 185.48/29.91  | | Case 2:
% 185.48/29.91  | | | 
% 185.48/29.91  | | |   (77)  all_56_10 = e1 & op(e2, e0) = e1
% 185.48/29.91  | | | 
% 185.48/29.91  | | | ALPHA: (77) implies:
% 185.48/29.91  | | |   (78)  all_56_10 = e1
% 185.48/29.91  | | | 
% 185.48/29.91  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 185.48/29.91  | | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 185.48/29.91  | | |            (25), (27), (28), (29), (30), (31), (32), (33), (35), (36),
% 185.48/29.91  | | |            (37), (38), (39), (40), (41), (78) are inconsistent by
% 185.48/29.91  | | |            sub-proof #569.
% 185.48/29.91  | | | 
% 185.48/29.91  | | End of split
% 185.48/29.91  | | 
% 185.48/29.91  | End of split
% 185.48/29.91  | 
% 185.48/29.91  End of proof
% 185.48/29.91  
% 185.48/29.91  Sub-proof #543 shows that the following formulas are inconsistent:
% 185.48/29.91  ----------------------------------------------------------------
% 185.48/29.91    (1)  op(e0, e0) = all_6_2
% 185.48/29.91    (2)   ~ (all_6_2 = e1)
% 185.48/29.91    (3)   ~ (e1 = e0)
% 185.48/29.91    (4)   ~ (e3 = e0)
% 185.48/29.91    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.48/29.91         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.48/29.91    (6)   ~ (all_52_6 = e0)
% 185.48/29.91    (7)   ~ (e2 = e0)
% 185.48/29.91    (8)   ~ (e3 = e1)
% 185.48/29.91    (9)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.48/29.91    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.91            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.91    (11)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.91          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.91    (12)   ~ (e3 = e2)
% 185.48/29.91    (13)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.48/29.91          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.48/29.91    (14)  op(e1, e2) = all_52_6
% 185.48/29.91    (15)   ~ (e2 = e1)
% 185.48/29.91    (16)  op(e1, e1) = e1
% 185.48/29.91  
% 185.48/29.91  Begin of proof
% 185.48/29.91  | 
% 185.48/29.91  | BETA: splitting (9) gives:
% 185.48/29.91  | 
% 185.48/29.91  | Case 1:
% 185.48/29.91  | | 
% 185.48/29.91  | |   (17)  all_56_11 = e1 & op(e1, e0) = e1
% 185.48/29.91  | | 
% 185.48/29.91  | | ALPHA: (17) implies:
% 185.48/29.91  | |   (18)  all_56_11 = e1
% 185.48/29.91  | | 
% 185.48/29.91  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (10), (11), (12), (13), (14), (15),
% 185.48/29.91  | |            (16), (18) are inconsistent by sub-proof #544.
% 185.48/29.91  | | 
% 185.48/29.91  | Case 2:
% 185.48/29.91  | | 
% 185.48/29.91  | |   (19)  all_56_15 = e1 & op(e0, e0) = e1
% 185.48/29.91  | | 
% 185.48/29.91  | | ALPHA: (19) implies:
% 185.48/29.91  | |   (20)  op(e0, e0) = e1
% 185.48/29.91  | | 
% 185.48/29.91  | | REF_CLOSE: (1), (2), (10), (20) are inconsistent by sub-proof #1516.
% 185.48/29.91  | | 
% 185.48/29.91  | End of split
% 185.48/29.91  | 
% 185.48/29.91  End of proof
% 185.48/29.91  
% 185.48/29.91  Sub-proof #544 shows that the following formulas are inconsistent:
% 185.48/29.91  ----------------------------------------------------------------
% 185.48/29.91    (1)   ~ (e1 = e0)
% 185.48/29.91    (2)   ~ (e3 = e0)
% 185.48/29.91    (3)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.48/29.91         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.48/29.91    (4)   ~ (all_52_6 = e0)
% 185.48/29.91    (5)   ~ (e2 = e0)
% 185.48/29.91    (6)   ~ (e3 = e1)
% 185.48/29.91    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.91    (8)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.91         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.91    (9)   ~ (e3 = e2)
% 185.48/29.91    (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.48/29.91          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.48/29.91    (11)  op(e1, e2) = all_52_6
% 185.48/29.91    (12)   ~ (e2 = e1)
% 185.48/29.91    (13)  all_56_11 = e1
% 185.48/29.91    (14)  op(e1, e1) = e1
% 185.48/29.91  
% 185.48/29.91  Begin of proof
% 185.48/29.91  | 
% 185.48/29.91  | BETA: splitting (3) gives:
% 185.48/29.91  | 
% 185.48/29.91  | Case 1:
% 185.48/29.91  | | 
% 185.48/29.91  | |   (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 185.48/29.91  | |           e0)
% 185.48/29.91  | | 
% 185.48/29.91  | | BETA: splitting (15) gives:
% 185.48/29.91  | | 
% 185.48/29.91  | | Case 1:
% 185.48/29.91  | | | 
% 185.48/29.91  | | |   (16)  all_56_6 = e0 & op(e1, e3) = e0
% 185.48/29.91  | | | 
% 185.48/29.91  | | | ALPHA: (16) implies:
% 185.48/29.91  | | |   (17)  all_56_6 = e0
% 185.48/29.91  | | | 
% 185.48/29.91  | | | REF_CLOSE: (2), (5), (6), (7), (8), (9), (10), (12), (13), (14), (17) are
% 185.48/29.91  | | |            inconsistent by sub-proof #823.
% 185.48/29.91  | | | 
% 185.48/29.91  | | Case 2:
% 185.48/29.91  | | | 
% 185.48/29.91  | | |   (18)  all_56_7 = e0 & op(e1, e2) = e0
% 185.48/29.91  | | | 
% 185.48/29.91  | | | REF_CLOSE: (4), (7), (11), (18) are inconsistent by sub-proof #1199.
% 185.48/29.91  | | | 
% 185.48/29.91  | | End of split
% 185.48/29.91  | | 
% 185.48/29.91  | Case 2:
% 185.48/29.91  | | 
% 185.48/29.91  | |   (19)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.48/29.91  | |           e0)
% 185.48/29.91  | | 
% 185.48/29.91  | | BETA: splitting (19) gives:
% 185.48/29.91  | | 
% 185.48/29.91  | | Case 1:
% 185.48/29.91  | | | 
% 185.48/29.91  | | |   (20)  all_56_8 = e0 & op(e1, e1) = e0
% 185.48/29.91  | | | 
% 185.48/29.91  | | | ALPHA: (20) implies:
% 185.48/29.91  | | |   (21)  op(e1, e1) = e0
% 185.48/29.91  | | | 
% 185.48/29.91  | | | REF_CLOSE: (1), (7), (14), (21) are inconsistent by sub-proof #1619.
% 185.48/29.91  | | | 
% 185.48/29.91  | | Case 2:
% 185.48/29.91  | | | 
% 185.48/29.91  | | |   (22)  all_56_11 = e0 & op(e1, e0) = e0
% 185.48/29.91  | | | 
% 185.48/29.91  | | | REF_CLOSE: (1), (13), (22) are inconsistent by sub-proof #1207.
% 185.48/29.91  | | | 
% 185.48/29.91  | | End of split
% 185.48/29.91  | | 
% 185.48/29.91  | End of split
% 185.48/29.91  | 
% 185.48/29.91  End of proof
% 185.48/29.91  
% 185.48/29.91  Sub-proof #545 shows that the following formulas are inconsistent:
% 185.48/29.91  ----------------------------------------------------------------
% 185.48/29.91    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.91    (2)  op(e0, e0) = all_12_0
% 185.48/29.91    (3)  op(e0, e0) = e3
% 185.48/29.91    (4)   ~ (all_12_0 = e3)
% 185.48/29.91  
% 185.48/29.91  Begin of proof
% 185.48/29.91  | 
% 185.48/29.91  | GROUND_INST: instantiating (1) with e3, all_12_0, e0, e0, simplifying with
% 185.48/29.91  |              (2), (3) gives:
% 185.48/29.91  |   (5)  all_12_0 = e3
% 185.48/29.91  | 
% 185.48/29.91  | REDUCE: (4), (5) imply:
% 185.48/29.91  |   (6)  $false
% 185.48/29.91  | 
% 185.48/29.91  | CLOSE: (6) is inconsistent.
% 185.48/29.91  | 
% 185.48/29.91  End of proof
% 185.48/29.91  
% 185.48/29.91  Sub-proof #546 shows that the following formulas are inconsistent:
% 185.48/29.91  ----------------------------------------------------------------
% 185.48/29.91    (1)   ~ (e2 = e0)
% 185.48/29.91    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.91         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.91    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.91    (4)  all_56_1 = e3
% 185.48/29.91    (5)   ~ (e3 = e2)
% 185.48/29.91    (6)   ~ (e2 = e1)
% 185.48/29.91    (7)  all_56_13 = e1
% 185.48/29.91    (8)  all_56_7 = e3
% 185.48/29.91    (9)  op(e2, e2) = e0
% 185.48/29.91  
% 185.48/29.91  Begin of proof
% 185.48/29.91  | 
% 185.48/29.91  | BETA: splitting (2) gives:
% 185.48/29.91  | 
% 185.48/29.91  | Case 1:
% 185.48/29.91  | | 
% 185.48/29.91  | |   (10)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 185.48/29.91  | |           e2)
% 185.48/29.91  | | 
% 185.48/29.91  | | BETA: splitting (10) gives:
% 185.48/29.91  | | 
% 185.48/29.91  | | Case 1:
% 185.48/29.91  | | | 
% 185.48/29.91  | | |   (11)  all_56_1 = e2 & op(e3, e2) = e2
% 185.48/29.91  | | | 
% 185.48/29.91  | | | REF_CLOSE: (4), (5), (11) are inconsistent by sub-proof #1379.
% 185.48/29.91  | | | 
% 185.48/29.91  | | Case 2:
% 185.48/29.91  | | | 
% 185.48/29.91  | | |   (12)  all_56_3 = e2 & op(e2, e2) = e2
% 185.48/29.91  | | | 
% 185.48/29.91  | | | ALPHA: (12) implies:
% 185.48/29.91  | | |   (13)  op(e2, e2) = e2
% 185.48/29.91  | | | 
% 185.48/29.91  | | | REF_CLOSE: (1), (3), (9), (13) are inconsistent by sub-proof #1586.
% 185.48/29.91  | | | 
% 185.48/29.91  | | End of split
% 185.48/29.91  | | 
% 185.48/29.91  | Case 2:
% 185.48/29.91  | | 
% 185.48/29.91  | |   (14)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 185.48/29.91  | |           e2)
% 185.48/29.91  | | 
% 185.48/29.91  | | BETA: splitting (14) gives:
% 185.48/29.91  | | 
% 185.48/29.91  | | Case 1:
% 185.48/29.91  | | | 
% 185.48/29.91  | | |   (15)  all_56_7 = e2 & op(e1, e2) = e2
% 185.48/29.91  | | | 
% 185.48/29.91  | | | REF_CLOSE: (5), (8), (15) are inconsistent by sub-proof #1072.
% 185.48/29.91  | | | 
% 185.48/29.91  | | Case 2:
% 185.48/29.91  | | | 
% 185.48/29.91  | | |   (16)  all_56_13 = e2 & op(e0, e2) = e2
% 185.48/29.91  | | | 
% 185.48/29.91  | | | ALPHA: (16) implies:
% 185.48/29.91  | | |   (17)  all_56_13 = e2
% 185.48/29.91  | | | 
% 185.48/29.91  | | | REF_CLOSE: (6), (7), (17) are inconsistent by sub-proof #1086.
% 185.48/29.91  | | | 
% 185.48/29.91  | | End of split
% 185.48/29.91  | | 
% 185.48/29.91  | End of split
% 185.48/29.91  | 
% 185.48/29.91  End of proof
% 185.48/29.91  
% 185.48/29.91  Sub-proof #547 shows that the following formulas are inconsistent:
% 185.48/29.91  ----------------------------------------------------------------
% 185.48/29.91    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.91         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.91    (2)   ~ (e1 = e0)
% 185.48/29.91    (3)   ~ (all_52_9 = e0)
% 185.48/29.91    (4)   ~ (e3 = e0)
% 185.48/29.91    (5)  op(e2, e1) = all_52_9
% 185.48/29.91    (6)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.48/29.91         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.48/29.91    (7)   ~ (all_52_6 = e0)
% 185.48/29.91    (8)   ~ (e2 = e0)
% 185.48/29.91    (9)   ~ (e3 = e1)
% 185.48/29.91    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.91            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.91    (11)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.91          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.91    (12)  all_56_1 = e3
% 185.48/29.91    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.91          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.91    (14)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.91          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.91    (15)  op(e0, e0) = e3
% 185.48/29.91    (16)  op(e2, e0) = all_52_13
% 185.48/29.91    (17)   ~ (e3 = e2)
% 185.48/29.91    (18)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.48/29.91    (19)  op(e3, e3) = all_4_2
% 185.48/29.91    (20)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.91          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.91    (21)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.48/29.91          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.48/29.91    (22)  op(e1, e2) = all_52_6
% 185.48/29.91    (23)   ~ (all_52_13 = e0)
% 185.48/29.91    (24)   ~ (e2 = e1)
% 185.48/29.91    (25)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.91              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.48/29.91                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.48/29.91                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.48/29.91    (26)   ~ (all_4_2 = e1)
% 185.48/29.91    (27)  op(e1, e1) = e1
% 185.48/29.91  
% 185.48/29.91  Begin of proof
% 185.48/29.91  | 
% 185.48/29.91  | BETA: splitting (18) gives:
% 185.48/29.91  | 
% 185.48/29.91  | Case 1:
% 185.48/29.91  | | 
% 185.48/29.91  | |   (28)  all_56_8 = e3 & op(e1, e1) = e3
% 185.48/29.91  | | 
% 185.48/29.91  | | ALPHA: (28) implies:
% 185.48/29.91  | |   (29)  op(e1, e1) = e3
% 185.48/29.91  | | 
% 185.48/29.91  | | REF_CLOSE: (9), (10), (27), (29) are inconsistent by sub-proof #1541.
% 185.48/29.91  | | 
% 185.48/29.91  | Case 2:
% 185.48/29.91  | | 
% 185.48/29.91  | |   (30)  all_56_11 = e3 & op(e1, e0) = e3
% 185.48/29.91  | | 
% 185.48/29.91  | | ALPHA: (30) implies:
% 185.48/29.91  | |   (31)  all_56_11 = e3
% 185.48/29.91  | | 
% 185.48/29.91  | | BETA: splitting (6) gives:
% 185.48/29.91  | | 
% 185.48/29.91  | | Case 1:
% 185.48/29.91  | | | 
% 185.48/29.91  | | |   (32)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 185.48/29.91  | | |           e0)
% 185.48/29.91  | | | 
% 185.48/29.91  | | | BETA: splitting (32) gives:
% 185.48/29.91  | | | 
% 185.48/29.91  | | | Case 1:
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | |   (33)  all_56_6 = e0 & op(e1, e3) = e0
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | | ALPHA: (33) implies:
% 185.48/29.91  | | | |   (34)  all_56_6 = e0
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | | BETA: splitting (25) gives:
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | | Case 1:
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | |   (35)  all_56_15 = e0 & op(e0, e0) = e0
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | | ALPHA: (35) implies:
% 185.48/29.91  | | | | |   (36)  op(e0, e0) = e0
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | | REF_CLOSE: (4), (10), (15), (36) are inconsistent by sub-proof #1540.
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | Case 2:
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | |   (37)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2,
% 185.48/29.91  | | | | |               e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 185.48/29.91  | | | | |         ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0,
% 185.48/29.91  | | | | |               e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | | ALPHA: (37) implies:
% 185.48/29.91  | | | | |   (38)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2,
% 185.48/29.91  | | | | |             e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | | BETA: splitting (38) gives:
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | | Case 1:
% 185.48/29.91  | | | | | | 
% 185.48/29.91  | | | | | |   (39)  all_56_9 = e0 & op(e3, e0) = e0
% 185.48/29.91  | | | | | | 
% 185.48/29.91  | | | | | | ALPHA: (39) implies:
% 185.48/29.91  | | | | | |   (40)  all_56_9 = e0
% 185.48/29.91  | | | | | | 
% 185.48/29.91  | | | | | | BETA: splitting (13) gives:
% 185.48/29.91  | | | | | | 
% 185.48/29.91  | | | | | | Case 1:
% 185.48/29.91  | | | | | | | 
% 185.48/29.91  | | | | | | |   (41)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 &
% 185.48/29.91  | | | | | | |           op(e3, e2) = e1)
% 185.48/29.91  | | | | | | | 
% 185.48/29.91  | | | | | | | BETA: splitting (41) gives:
% 185.48/29.91  | | | | | | | 
% 185.48/29.91  | | | | | | | Case 1:
% 185.48/29.91  | | | | | | | | 
% 185.48/29.91  | | | | | | | |   (42)  all_56_0 = e1 & op(e3, e3) = e1
% 185.48/29.91  | | | | | | | | 
% 185.48/29.91  | | | | | | | | ALPHA: (42) implies:
% 185.48/29.91  | | | | | | | |   (43)  op(e3, e3) = e1
% 185.48/29.91  | | | | | | | | 
% 185.48/29.91  | | | | | | | | REF_CLOSE: (10), (19), (26), (43) are inconsistent by sub-proof
% 185.48/29.91  | | | | | | | |            #1525.
% 185.48/29.91  | | | | | | | | 
% 185.48/29.91  | | | | | | | Case 2:
% 185.48/29.91  | | | | | | | | 
% 185.48/29.91  | | | | | | | |   (44)  all_56_1 = e1 & op(e3, e2) = e1
% 185.48/29.91  | | | | | | | | 
% 185.48/29.91  | | | | | | | | ALPHA: (44) implies:
% 185.48/29.91  | | | | | | | |   (45)  all_56_1 = e1
% 185.48/29.91  | | | | | | | | 
% 185.48/29.91  | | | | | | | | COMBINE_EQS: (12), (45) imply:
% 185.48/29.91  | | | | | | | |   (46)  e3 = e1
% 185.48/29.91  | | | | | | | | 
% 185.48/29.91  | | | | | | | | REF_CLOSE: (4), (8), (9), (10), (14), (17), (21), (24), (27),
% 185.48/29.91  | | | | | | | |            (31), (34), (46) are inconsistent by sub-proof #549.
% 185.48/29.91  | | | | | | | | 
% 185.48/29.91  | | | | | | | End of split
% 185.48/29.91  | | | | | | | 
% 185.48/29.91  | | | | | | Case 2:
% 185.48/29.91  | | | | | | | 
% 185.48/29.91  | | | | | | |   (47)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 &
% 185.48/29.91  | | | | | | |           op(e3, e0) = e1)
% 185.48/29.91  | | | | | | | 
% 185.48/29.91  | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (10), (11), (17),
% 185.48/29.91  | | | | | | |            (20), (24), (27), (40), (47) are inconsistent by
% 185.48/29.91  | | | | | | |            sub-proof #548.
% 185.48/29.91  | | | | | | | 
% 185.48/29.91  | | | | | | End of split
% 185.48/29.91  | | | | | | 
% 185.48/29.91  | | | | | Case 2:
% 185.48/29.91  | | | | | | 
% 185.48/29.91  | | | | | |   (48)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 185.48/29.91  | | | | | |           op(e1, e0) = e0)
% 185.48/29.91  | | | | | | 
% 185.48/29.91  | | | | | | REF_CLOSE: (4), (10), (16), (23), (31), (48) are inconsistent by
% 185.48/29.91  | | | | | |            sub-proof #1202.
% 185.48/29.91  | | | | | | 
% 185.48/29.91  | | | | | End of split
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | End of split
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | Case 2:
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | |   (49)  all_56_7 = e0 & op(e1, e2) = e0
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | | REF_CLOSE: (7), (10), (22), (49) are inconsistent by sub-proof #1199.
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | End of split
% 185.48/29.91  | | | 
% 185.48/29.91  | | Case 2:
% 185.48/29.91  | | | 
% 185.48/29.91  | | |   (50)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.48/29.91  | | |           e0)
% 185.48/29.91  | | | 
% 185.48/29.91  | | | REF_CLOSE: (2), (4), (10), (27), (31), (50) are inconsistent by sub-proof
% 185.48/29.91  | | |            #1006.
% 185.48/29.91  | | | 
% 185.48/29.91  | | End of split
% 185.48/29.91  | | 
% 185.48/29.91  | End of split
% 185.48/29.91  | 
% 185.48/29.91  End of proof
% 185.48/29.91  
% 185.48/29.91  Sub-proof #548 shows that the following formulas are inconsistent:
% 185.48/29.91  ----------------------------------------------------------------
% 185.48/29.91    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.91         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.91    (2)   ~ (e1 = e0)
% 185.48/29.91    (3)   ~ (all_52_9 = e0)
% 185.48/29.91    (4)   ~ (e3 = e0)
% 185.48/29.91    (5)  op(e2, e1) = all_52_9
% 185.48/29.91    (6)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.91    (7)   ~ (e2 = e0)
% 185.48/29.91    (8)   ~ (e3 = e1)
% 185.48/29.91    (9)  all_56_9 = e0
% 185.48/29.91    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.91            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.91    (11)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.91          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.91    (12)   ~ (e3 = e2)
% 185.48/29.91    (13)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.91          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.91    (14)   ~ (e2 = e1)
% 185.48/29.91    (15)  op(e1, e1) = e1
% 185.48/29.91  
% 185.48/29.91  Begin of proof
% 185.48/29.91  | 
% 185.48/29.91  | BETA: splitting (6) gives:
% 185.48/29.91  | 
% 185.48/29.91  | Case 1:
% 185.48/29.91  | | 
% 185.48/29.91  | |   (16)  all_56_4 = e1 & op(e3, e1) = e1
% 185.48/29.91  | | 
% 185.48/29.91  | | ALPHA: (16) implies:
% 185.48/29.91  | |   (17)  all_56_4 = e1
% 185.48/29.91  | | 
% 185.48/29.91  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (10), (11), (12), (13), (14),
% 185.48/29.91  | |            (15), (17) are inconsistent by sub-proof #1467.
% 185.48/29.91  | | 
% 185.48/29.91  | Case 2:
% 185.48/29.91  | | 
% 185.48/29.91  | |   (18)  all_56_9 = e1 & op(e3, e0) = e1
% 185.48/29.91  | | 
% 185.48/29.91  | | REF_CLOSE: (2), (9), (18) are inconsistent by sub-proof #1126.
% 185.48/29.91  | | 
% 185.48/29.91  | End of split
% 185.48/29.91  | 
% 185.48/29.91  End of proof
% 185.48/29.91  
% 185.48/29.91  Sub-proof #549 shows that the following formulas are inconsistent:
% 185.48/29.91  ----------------------------------------------------------------
% 185.48/29.91    (1)  all_56_6 = e0
% 185.48/29.91    (2)   ~ (e3 = e0)
% 185.48/29.91    (3)  all_56_11 = e3
% 185.48/29.91    (4)   ~ (e2 = e0)
% 185.48/29.91    (5)   ~ (e3 = e1)
% 185.48/29.91    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.91           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.91    (7)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.91         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.91    (8)   ~ (e3 = e2)
% 185.48/29.91    (9)  e3 = e1
% 185.48/29.91    (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.48/29.91          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.48/29.91    (11)   ~ (e2 = e1)
% 185.48/29.91    (12)  op(e1, e1) = e1
% 185.48/29.91  
% 185.48/29.91  Begin of proof
% 185.48/29.91  | 
% 185.48/29.91  | SIMP: (9) implies:
% 185.48/29.91  |   (13)  e3 = e1
% 185.48/29.91  | 
% 185.48/29.91  | COMBINE_EQS: (3), (13) imply:
% 185.48/29.91  |   (14)  all_56_11 = e1
% 185.48/29.91  | 
% 185.48/29.91  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (10), (11), (12), (14) are
% 185.48/29.91  |            inconsistent by sub-proof #823.
% 185.48/29.91  | 
% 185.48/29.91  End of proof
% 185.48/29.91  
% 185.48/29.91  Sub-proof #550 shows that the following formulas are inconsistent:
% 185.48/29.91  ----------------------------------------------------------------
% 185.48/29.91    (1)  op(e0, e0) = all_6_2
% 185.48/29.91    (2)   ~ (all_4_2 = e0)
% 185.48/29.91    (3)   ~ (all_6_2 = e1)
% 185.48/29.91    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.91         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.91    (5)   ~ (e1 = e0)
% 185.48/29.91    (6)   ~ (all_52_9 = e0)
% 185.48/29.91    (7)   ~ (e3 = e0)
% 185.48/29.91    (8)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.91         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.91    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.91         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.91    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.91          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.91    (11)  op(e2, e1) = all_52_9
% 185.48/29.91    (12)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.91          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.48/29.91    (13)   ~ (e2 = e0)
% 185.48/29.91    (14)   ~ (e3 = e1)
% 185.48/29.91    (15)   ~ (all_6_2 = e2)
% 185.48/29.91    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.91            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.91    (17)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.91          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.91    (18)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.91          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.91    (19)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.91          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.91    (20)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.91          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.91    (21)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.91          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.91            e1)
% 185.48/29.91    (22)   ~ (e3 = e2)
% 185.48/29.91    (23)  all_56_2 = e3
% 185.48/29.91    (24)  op(e3, e3) = all_4_2
% 185.48/29.91    (25)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.91          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.91    (26)  op(e3, e2) = all_52_4
% 185.48/29.91    (27)   ~ (all_52_4 = e0)
% 185.48/29.91    (28)  op(e3, e3) = e3
% 185.48/29.91    (29)   ~ (e2 = e1)
% 185.48/29.91    (30)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.91          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.91            e2)
% 185.48/29.91    (31)  op(e2, e2) = e0
% 185.48/29.91    (32)   ~ (all_4_2 = e1)
% 185.48/29.91    (33)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.91          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.91    (34)  op(e1, e1) = e1
% 185.48/29.91  
% 185.48/29.91  Begin of proof
% 185.48/29.91  | 
% 185.48/29.91  | BETA: splitting (12) gives:
% 185.48/29.91  | 
% 185.48/29.91  | Case 1:
% 185.48/29.91  | | 
% 185.48/29.91  | |   (35)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 185.48/29.91  | |           e1)
% 185.48/29.91  | | 
% 185.48/29.91  | | BETA: splitting (35) gives:
% 185.48/29.91  | | 
% 185.48/29.91  | | Case 1:
% 185.48/29.91  | | | 
% 185.48/29.91  | | |   (36)  all_56_2 = e1 & op(e2, e3) = e1
% 185.48/29.91  | | | 
% 185.48/29.91  | | | REF_CLOSE: (14), (23), (36) are inconsistent by sub-proof #1599.
% 185.48/29.91  | | | 
% 185.48/29.91  | | Case 2:
% 185.48/29.91  | | | 
% 185.48/29.91  | | |   (37)  all_56_3 = e1 & op(e2, e2) = e1
% 185.48/29.91  | | | 
% 185.48/29.91  | | | ALPHA: (37) implies:
% 185.48/29.91  | | |   (38)  op(e2, e2) = e1
% 185.48/29.91  | | | 
% 185.48/29.91  | | | REF_CLOSE: (5), (16), (31), (38) are inconsistent by sub-proof #1310.
% 185.48/29.91  | | | 
% 185.48/29.91  | | End of split
% 185.48/29.91  | | 
% 185.48/29.91  | Case 2:
% 185.48/29.91  | | 
% 185.48/29.91  | |   (39)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 185.48/29.91  | |           e1)
% 185.48/29.91  | | 
% 185.48/29.91  | | BETA: splitting (39) gives:
% 185.48/29.91  | | 
% 185.48/29.91  | | Case 1:
% 185.48/29.91  | | | 
% 185.48/29.91  | | |   (40)  all_56_5 = e1 & op(e2, e1) = e1
% 185.48/29.91  | | | 
% 185.48/29.91  | | | ALPHA: (40) implies:
% 185.48/29.91  | | |   (41)  op(e2, e1) = e1
% 185.48/29.91  | | | 
% 185.48/29.91  | | | BETA: splitting (4) gives:
% 185.48/29.91  | | | 
% 185.48/29.91  | | | Case 1:
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | |   (42)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1)
% 185.48/29.91  | | | |           = e3)
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | | BETA: splitting (42) gives:
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | | Case 1:
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | |   (43)  all_56_4 = e3 & op(e3, e1) = e3
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (11), (13), (14), (16), (17),
% 185.48/29.91  | | | | |            (18), (20), (22), (24), (25), (26), (27), (28), (29), (32),
% 185.48/29.91  | | | | |            (34), (43) are inconsistent by sub-proof #589.
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | Case 2:
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | |   (44)  all_56_5 = e3 & op(e2, e1) = e3
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | | ALPHA: (44) implies:
% 185.48/29.91  | | | | |   (45)  op(e2, e1) = e3
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | | REF_CLOSE: (14), (16), (41), (45) are inconsistent by sub-proof #1456.
% 185.48/29.91  | | | | | 
% 185.48/29.91  | | | | End of split
% 185.48/29.91  | | | | 
% 185.48/29.91  | | | Case 2:
% 185.48/29.91  | | | | 
% 185.48/29.92  | | | |   (46)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1)
% 185.48/29.92  | | | |           = e3)
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (13),
% 185.48/29.92  | | | |            (14), (15), (16), (17), (21), (22), (23), (24), (25), (28),
% 185.48/29.92  | | | |            (29), (30), (32), (33), (34), (46) are inconsistent by
% 185.48/29.92  | | | |            sub-proof #585.
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | End of split
% 185.48/29.92  | | | 
% 185.48/29.92  | | Case 2:
% 185.48/29.92  | | | 
% 185.48/29.92  | | |   (47)  all_56_10 = e1 & op(e2, e0) = e1
% 185.48/29.92  | | | 
% 185.48/29.92  | | | ALPHA: (47) implies:
% 185.48/29.92  | | |   (48)  all_56_10 = e1
% 185.48/29.92  | | | 
% 185.48/29.92  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 185.48/29.92  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 185.48/29.92  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 185.48/29.92  | | |            (34), (48) are inconsistent by sub-proof #584.
% 185.48/29.92  | | | 
% 185.48/29.92  | | End of split
% 185.48/29.92  | | 
% 185.48/29.92  | End of split
% 185.48/29.92  | 
% 185.48/29.92  End of proof
% 185.48/29.92  
% 185.48/29.92  Sub-proof #551 shows that the following formulas are inconsistent:
% 185.48/29.92  ----------------------------------------------------------------
% 185.48/29.92    (1)   ~ (all_4_2 = e0)
% 185.48/29.92    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.92         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.92    (3)  all_56_0 = e3
% 185.48/29.92    (4)   ~ (e1 = e0)
% 185.48/29.92    (5)   ~ (all_52_9 = e0)
% 185.48/29.92    (6)   ~ (all_52_12 = e2)
% 185.48/29.92    (7)   ~ (e3 = e0)
% 185.48/29.92    (8)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.92         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.92    (9)  op(e2, e1) = all_52_9
% 185.48/29.92    (10)   ~ (e2 = e0)
% 185.48/29.92    (11)   ~ (all_52_12 = all_52_13)
% 185.48/29.92    (12)   ~ (e3 = e1)
% 185.48/29.92    (13)   ~ (all_52_9 = all_52_13)
% 185.48/29.92    (14)  all_56_14 = e2
% 185.48/29.92    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.92            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.92    (16)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.92          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.92    (17)  all_54_7 = all_52_13
% 185.48/29.92    (18)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.92          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.92    (19)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.92          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.92    (20)   ~ (all_52_12 = e3)
% 185.48/29.92    (21)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 185.48/29.92    (22)   ~ (e3 = e2)
% 185.48/29.92    (23)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.48/29.92    (24)  op(e3, e3) = all_4_2
% 185.48/29.92    (25)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.92          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.92    (26)  op(e3, e2) = all_52_4
% 185.48/29.92    (27)   ~ (all_52_13 = e2)
% 185.48/29.92    (28)   ~ (all_52_4 = e0)
% 185.48/29.92    (29)   ~ (all_52_13 = e0)
% 185.48/29.92    (30)   ~ (e2 = e1)
% 185.48/29.92    (31)  all_54_3 = all_52_12
% 185.48/29.92    (32)   ~ (all_52_12 = e0)
% 185.48/29.92    (33)   ~ (all_4_2 = e1)
% 185.48/29.92    (34)  op(e1, e1) = e1
% 185.48/29.92  
% 185.48/29.92  Begin of proof
% 185.48/29.92  | 
% 185.48/29.92  | BETA: splitting (2) gives:
% 185.48/29.92  | 
% 185.48/29.92  | Case 1:
% 185.48/29.92  | | 
% 185.48/29.92  | |   (35)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 185.48/29.92  | |           e3)
% 185.48/29.92  | | 
% 185.48/29.92  | | BETA: splitting (35) gives:
% 185.48/29.92  | | 
% 185.48/29.92  | | Case 1:
% 185.48/29.92  | | | 
% 185.48/29.92  | | |   (36)  all_56_4 = e3 & op(e3, e1) = e3
% 185.48/29.92  | | | 
% 185.48/29.92  | | | ALPHA: (36) implies:
% 185.48/29.92  | | |   (37)  all_56_4 = e3
% 185.48/29.92  | | | 
% 185.48/29.92  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (12), (15), (16),
% 185.48/29.92  | | |            (18), (19), (22), (24), (25), (26), (28), (30), (33), (34),
% 185.48/29.92  | | |            (37) are inconsistent by sub-proof #563.
% 185.48/29.92  | | | 
% 185.48/29.92  | | Case 2:
% 185.48/29.92  | | | 
% 185.48/29.92  | | |   (38)  all_56_5 = e3 & op(e2, e1) = e3
% 185.48/29.92  | | | 
% 185.48/29.92  | | | ALPHA: (38) implies:
% 185.48/29.92  | | |   (39)  op(e2, e1) = e3
% 185.48/29.92  | | | 
% 185.48/29.92  | | | BETA: splitting (21) gives:
% 185.48/29.92  | | | 
% 185.48/29.92  | | | Case 1:
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | |   (40)  all_54_3 = e3
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | | REF_CLOSE: (20), (31), (40) are inconsistent by sub-proof #809.
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | Case 2:
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | |   (41)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | | BETA: splitting (41) gives:
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | | Case 1:
% 185.48/29.92  | | | | | 
% 185.48/29.92  | | | | |   (42)  all_54_3 = e2
% 185.48/29.92  | | | | | 
% 185.48/29.92  | | | | | REF_CLOSE: (6), (31), (42) are inconsistent by sub-proof #748.
% 185.48/29.92  | | | | | 
% 185.48/29.92  | | | | Case 2:
% 185.48/29.92  | | | | | 
% 185.48/29.92  | | | | |   (43)  all_54_3 = e1 | all_54_3 = e0
% 185.48/29.92  | | | | | 
% 185.48/29.92  | | | | | BETA: splitting (43) gives:
% 185.48/29.92  | | | | | 
% 185.48/29.92  | | | | | Case 1:
% 185.48/29.92  | | | | | | 
% 185.48/29.92  | | | | | |   (44)  all_54_3 = e1
% 185.48/29.92  | | | | | | 
% 185.48/29.92  | | | | | | COMBINE_EQS: (31), (44) imply:
% 185.48/29.92  | | | | | |   (45)  all_52_12 = e1
% 185.48/29.92  | | | | | | 
% 185.48/29.92  | | | | | | SIMP: (45) implies:
% 185.48/29.92  | | | | | |   (46)  all_52_12 = e1
% 185.48/29.92  | | | | | | 
% 185.48/29.92  | | | | | | REDUCE: (11), (46) imply:
% 185.48/29.92  | | | | | |   (47)   ~ (all_52_13 = e1)
% 185.48/29.92  | | | | | | 
% 185.48/29.92  | | | | | | SIMP: (47) implies:
% 185.48/29.92  | | | | | |   (48)   ~ (all_52_13 = e1)
% 185.48/29.92  | | | | | | 
% 185.48/29.92  | | | | | | REF_CLOSE: (9), (13), (15), (17), (23), (27), (29), (39), (48) are
% 185.48/29.92  | | | | | |            inconsistent by sub-proof #552.
% 185.48/29.92  | | | | | | 
% 185.48/29.92  | | | | | Case 2:
% 185.48/29.92  | | | | | | 
% 185.48/29.92  | | | | | |   (49)  all_54_3 = e0
% 185.48/29.92  | | | | | | 
% 185.48/29.92  | | | | | | REF_CLOSE: (31), (32), (49) are inconsistent by sub-proof #828.
% 185.48/29.92  | | | | | | 
% 185.48/29.92  | | | | | End of split
% 185.48/29.92  | | | | | 
% 185.48/29.92  | | | | End of split
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | End of split
% 185.48/29.92  | | | 
% 185.48/29.92  | | End of split
% 185.48/29.92  | | 
% 185.48/29.92  | Case 2:
% 185.48/29.92  | | 
% 185.48/29.92  | |   (50)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 185.48/29.92  | |           e3)
% 185.48/29.92  | | 
% 185.48/29.92  | | REF_CLOSE: (12), (14), (15), (22), (34), (50) are inconsistent by sub-proof
% 185.48/29.92  | |            #562.
% 185.48/29.92  | | 
% 185.48/29.92  | End of split
% 185.48/29.92  | 
% 185.48/29.92  End of proof
% 185.48/29.92  
% 185.48/29.92  Sub-proof #552 shows that the following formulas are inconsistent:
% 185.48/29.92  ----------------------------------------------------------------
% 185.48/29.92    (1)  op(e2, e1) = all_52_9
% 185.48/29.92    (2)   ~ (all_52_9 = all_52_13)
% 185.48/29.92    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.92    (4)   ~ (all_52_13 = e1)
% 185.48/29.92    (5)  all_54_7 = all_52_13
% 185.48/29.92    (6)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.48/29.92    (7)   ~ (all_52_13 = e2)
% 185.48/29.92    (8)  op(e2, e1) = e3
% 185.48/29.92    (9)   ~ (all_52_13 = e0)
% 185.48/29.92  
% 185.48/29.92  Begin of proof
% 185.48/29.92  | 
% 185.48/29.92  | BETA: splitting (6) gives:
% 185.48/29.92  | 
% 185.48/29.92  | Case 1:
% 185.48/29.92  | | 
% 185.48/29.92  | |   (10)  all_54_7 = e3
% 185.48/29.92  | | 
% 185.48/29.92  | | COMBINE_EQS: (5), (10) imply:
% 185.48/29.92  | |   (11)  all_52_13 = e3
% 185.48/29.92  | | 
% 185.48/29.92  | | SIMP: (11) implies:
% 185.48/29.92  | |   (12)  all_52_13 = e3
% 185.48/29.92  | | 
% 185.48/29.92  | | REDUCE: (2), (12) imply:
% 185.48/29.92  | |   (13)   ~ (all_52_9 = e3)
% 185.48/29.92  | | 
% 185.48/29.92  | | REF_CLOSE: (1), (3), (8), (13) are inconsistent by sub-proof #1449.
% 185.48/29.92  | | 
% 185.48/29.92  | Case 2:
% 185.48/29.92  | | 
% 185.48/29.92  | |   (14)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.48/29.92  | | 
% 185.48/29.92  | | REF_CLOSE: (4), (5), (7), (9), (14) are inconsistent by sub-proof #944.
% 185.48/29.92  | | 
% 185.48/29.92  | End of split
% 185.48/29.92  | 
% 185.48/29.92  End of proof
% 185.48/29.92  
% 185.48/29.92  Sub-proof #553 shows that the following formulas are inconsistent:
% 185.48/29.92  ----------------------------------------------------------------
% 185.48/29.92    (1)  op(e0, e0) = all_6_2
% 185.48/29.92    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.48/29.92         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.48/29.92    (3)   ~ (all_4_2 = e0)
% 185.48/29.92    (4)  all_56_6 = e0
% 185.48/29.92    (5)   ~ (all_6_2 = e1)
% 185.48/29.92    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.92         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.92    (7)   ~ (e1 = e0)
% 185.48/29.92    (8)   ~ (all_52_9 = e0)
% 185.48/29.92    (9)  op(e0, e0) = e0
% 185.48/29.92    (10)   ~ (e3 = e0)
% 185.48/29.92    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.92          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.92    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.92          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.92    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.92          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.92    (14)  op(e2, e1) = all_52_9
% 185.48/29.92    (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.48/29.92          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.48/29.92    (16)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.92          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.48/29.92    (17)   ~ (all_52_6 = e0)
% 185.48/29.92    (18)   ~ (e2 = e0)
% 185.48/29.92    (19)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.92          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.92    (20)   ~ (e3 = e1)
% 185.48/29.92    (21)   ~ (all_52_4 = all_52_7)
% 185.48/29.92    (22)   ~ (all_6_2 = e2)
% 185.48/29.92    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.92            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.92    (24)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.92          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.92    (25)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.92          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.92    (26)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.92          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.92    (27)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.92          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.92    (28)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.92          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.92    (29)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.92          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.92            e1)
% 185.48/29.92    (30)   ~ (e3 = e2)
% 185.48/29.92    (31)  all_56_10 = e1
% 185.48/29.92    (32)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.48/29.92          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.48/29.92    (33)  op(e3, e3) = all_4_2
% 185.48/29.92    (34)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.92          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.92    (35)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.92          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.92    (36)  op(e3, e2) = all_52_4
% 185.48/29.92    (37)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.48/29.92          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.48/29.92    (38)  op(e1, e2) = all_52_6
% 185.48/29.92    (39)   ~ (all_52_4 = e0)
% 185.48/29.92    (40)  op(e3, e3) = e3
% 185.48/29.92    (41)   ~ (e2 = e1)
% 185.48/29.92    (42)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.92          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.92            e2)
% 185.48/29.92    (43)  op(e0, e2) = all_52_7
% 185.48/29.92    (44)  all_56_7 = e3
% 185.48/29.92    (45)  op(e2, e2) = e0
% 185.48/29.92    (46)   ~ (all_4_2 = e1)
% 185.48/29.92    (47)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.92          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.92    (48)  op(e1, e1) = e1
% 185.48/29.92  
% 185.48/29.92  Begin of proof
% 185.48/29.92  | 
% 185.48/29.92  | BETA: splitting (27) gives:
% 185.48/29.92  | 
% 185.48/29.92  | Case 1:
% 185.48/29.92  | | 
% 185.48/29.92  | |   (49)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 185.48/29.92  | |           e2)
% 185.48/29.92  | | 
% 185.48/29.92  | | BETA: splitting (49) gives:
% 185.48/29.92  | | 
% 185.48/29.92  | | Case 1:
% 185.48/29.92  | | | 
% 185.48/29.92  | | |   (50)  all_56_6 = e2 & op(e1, e3) = e2
% 185.48/29.92  | | | 
% 185.48/29.92  | | | REF_CLOSE: (4), (18), (50) are inconsistent by sub-proof #580.
% 185.48/29.92  | | | 
% 185.48/29.92  | | Case 2:
% 185.48/29.92  | | | 
% 185.48/29.92  | | |   (51)  all_56_7 = e2 & op(e1, e2) = e2
% 185.48/29.92  | | | 
% 185.48/29.92  | | | ALPHA: (51) implies:
% 185.48/29.92  | | |   (52)  all_56_7 = e2
% 185.48/29.92  | | | 
% 185.48/29.92  | | | REF_CLOSE: (30), (44), (52) are inconsistent by sub-proof #1430.
% 185.48/29.92  | | | 
% 185.48/29.92  | | End of split
% 185.48/29.92  | | 
% 185.48/29.92  | Case 2:
% 185.48/29.92  | | 
% 185.48/29.92  | |   (53)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 185.48/29.92  | |           e2)
% 185.48/29.92  | | 
% 185.48/29.92  | | BETA: splitting (53) gives:
% 185.48/29.92  | | 
% 185.48/29.92  | | Case 1:
% 185.48/29.92  | | | 
% 185.48/29.92  | | |   (54)  all_56_8 = e2 & op(e1, e1) = e2
% 185.48/29.92  | | | 
% 185.48/29.92  | | | ALPHA: (54) implies:
% 185.48/29.92  | | |   (55)  op(e1, e1) = e2
% 185.48/29.92  | | | 
% 185.48/29.92  | | | REF_CLOSE: (23), (41), (48), (55) are inconsistent by sub-proof #1473.
% 185.48/29.92  | | | 
% 185.48/29.92  | | Case 2:
% 185.48/29.92  | | | 
% 185.48/29.92  | | |   (56)  all_56_11 = e2 & op(e1, e0) = e2
% 185.48/29.92  | | | 
% 185.48/29.92  | | | ALPHA: (56) implies:
% 185.48/29.92  | | |   (57)  all_56_11 = e2
% 185.48/29.92  | | | 
% 185.48/29.92  | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 185.48/29.92  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 185.48/29.92  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 185.48/29.92  | | |            (34), (35), (36), (37), (38), (39), (40), (41), (42), (43),
% 185.48/29.92  | | |            (44), (45), (46), (47), (48), (57) are inconsistent by
% 185.48/29.92  | | |            sub-proof #568.
% 185.48/29.92  | | | 
% 185.48/29.92  | | End of split
% 185.48/29.92  | | 
% 185.48/29.92  | End of split
% 185.48/29.92  | 
% 185.48/29.92  End of proof
% 185.48/29.92  
% 185.48/29.92  Sub-proof #554 shows that the following formulas are inconsistent:
% 185.48/29.92  ----------------------------------------------------------------
% 185.48/29.92    (1)   ~ (e1 = e0)
% 185.48/29.92    (2)  all_56_2 = e0
% 185.48/29.92    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.92    (4)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 185.48/29.92    (5)  op(e2, e2) = e0
% 185.48/29.92  
% 185.48/29.92  Begin of proof
% 185.48/29.92  | 
% 185.48/29.92  | BETA: splitting (4) gives:
% 185.48/29.92  | 
% 185.48/29.92  | Case 1:
% 185.48/29.92  | | 
% 185.48/29.92  | |   (6)  all_56_2 = e1 & op(e2, e3) = e1
% 185.48/29.92  | | 
% 185.48/29.92  | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #1524.
% 185.48/29.92  | | 
% 185.48/29.92  | Case 2:
% 185.48/29.92  | | 
% 185.48/29.92  | |   (7)  all_56_3 = e1 & op(e2, e2) = e1
% 185.48/29.92  | | 
% 185.48/29.92  | | ALPHA: (7) implies:
% 185.48/29.92  | |   (8)  op(e2, e2) = e1
% 185.48/29.92  | | 
% 185.48/29.92  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1310.
% 185.48/29.92  | | 
% 185.48/29.92  | End of split
% 185.48/29.92  | 
% 185.48/29.92  End of proof
% 185.48/29.92  
% 185.48/29.92  Sub-proof #555 shows that the following formulas are inconsistent:
% 185.48/29.92  ----------------------------------------------------------------
% 185.48/29.92    (1)  op(e1, e3) = e0
% 185.48/29.92    (2)   ~ (e1 = e0)
% 185.48/29.92    (3)  all_57_23 = e3
% 185.48/29.92    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.92    (5)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 = e1 &  ~ (all_57_9 =
% 185.48/29.92           e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.48/29.92         op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1, all_57_24) =
% 185.48/29.92         all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = e1 & op(e1, e2)
% 185.48/29.92         = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 &
% 185.48/29.92         $i(all_57_9) & $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.48/29.92         $i(all_57_24) & $i(all_57_30)
% 185.48/29.92  
% 185.48/29.92  Begin of proof
% 185.48/29.92  | 
% 185.48/29.92  | ALPHA: (5) implies:
% 185.48/29.92  |   (6)  op(e1, e3) = e1
% 185.48/29.92  |   (7)  op(e1, all_57_23) = all_57_9
% 185.48/29.92  | 
% 185.48/29.92  | REDUCE: (3), (7) imply:
% 185.48/29.92  |   (8)  op(e1, e3) = all_57_9
% 185.48/29.92  | 
% 185.48/29.92  | GROUND_INST: instantiating (4) with e1, all_57_9, e3, e1, simplifying with
% 185.48/29.92  |              (6), (8) gives:
% 185.48/29.92  |   (9)  all_57_9 = e1
% 185.48/29.92  | 
% 185.48/29.92  | GROUND_INST: instantiating (4) with e0, all_57_9, e3, e1, simplifying with
% 185.48/29.92  |              (1), (8) gives:
% 185.48/29.92  |   (10)  all_57_9 = e0
% 185.48/29.92  | 
% 185.48/29.92  | COMBINE_EQS: (9), (10) imply:
% 185.48/29.92  |   (11)  e1 = e0
% 185.48/29.92  | 
% 185.48/29.92  | REDUCE: (2), (11) imply:
% 185.48/29.92  |   (12)  $false
% 185.48/29.92  | 
% 185.48/29.92  | CLOSE: (12) is inconsistent.
% 185.48/29.92  | 
% 185.48/29.92  End of proof
% 185.48/29.92  
% 185.48/29.92  Sub-proof #556 shows that the following formulas are inconsistent:
% 185.48/29.92  ----------------------------------------------------------------
% 185.48/29.92    (1)  op(e0, e0) = all_6_2
% 185.48/29.92    (2)   ~ (all_4_2 = e0)
% 185.48/29.92    (3)  all_56_6 = e0
% 185.48/29.92    (4)  op(e2, e1) = e2
% 185.48/29.92    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.92         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.92    (6)  all_56_0 = e3
% 185.48/29.92    (7)   ~ (e1 = e0)
% 185.48/29.92    (8)   ~ (all_52_9 = e0)
% 185.48/29.92    (9)   ~ (e3 = e0)
% 185.48/29.92    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.92          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.92    (11)  op(e2, e1) = all_52_9
% 185.48/29.92    (12)   ~ (e2 = e0)
% 185.48/29.92    (13)   ~ (e3 = e1)
% 185.48/29.92    (14)   ~ (all_52_4 = all_52_7)
% 185.48/29.92    (15)   ~ (all_6_2 = e2)
% 185.48/29.92    (16)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.92    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.92            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.92    (18)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.92          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.92    (19)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.92          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.92    (20)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.92          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.92    (21)   ~ (e3 = e2)
% 185.48/29.92    (22)  op(e3, e3) = all_4_2
% 185.48/29.92    (23)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.92          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.92    (24)  op(e3, e2) = all_52_4
% 185.48/29.92    (25)  all_56_4 = e0
% 185.48/29.92    (26)   ~ (all_52_4 = e0)
% 185.48/29.92    (27)  op(e3, e3) = e3
% 185.48/29.92    (28)  all_56_9 = e1
% 185.48/29.92    (29)   ~ (e2 = e1)
% 185.48/29.92    (30)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.92          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.92            e2)
% 185.48/29.92    (31)  op(e3, e2) = e2
% 185.48/29.92    (32)  op(e0, e2) = all_52_7
% 185.48/29.92    (33)   ~ (all_4_2 = e1)
% 185.48/29.92    (34)  op(e1, e1) = e1
% 185.48/29.92  
% 185.48/29.92  Begin of proof
% 185.48/29.92  | 
% 185.48/29.92  | BETA: splitting (16) gives:
% 185.48/29.92  | 
% 185.48/29.92  | Case 1:
% 185.48/29.92  | | 
% 185.48/29.92  | |   (35)  all_56_6 = e1 & op(e1, e3) = e1
% 185.48/29.92  | | 
% 185.48/29.92  | | ALPHA: (35) implies:
% 185.48/29.92  | |   (36)  all_56_6 = e1
% 185.48/29.92  | | 
% 185.48/29.92  | | COMBINE_EQS: (3), (36) imply:
% 185.48/29.92  | |   (37)  e1 = e0
% 185.48/29.92  | | 
% 185.48/29.92  | | COMBINE_EQS: (28), (37) imply:
% 185.48/29.92  | |   (38)  all_56_9 = e0
% 185.48/29.92  | | 
% 185.48/29.92  | | REF_CLOSE: (5), (7), (8), (9), (11), (12), (13), (17), (18), (19), (20),
% 185.48/29.92  | |            (21), (22), (23), (25), (27), (29), (33), (34), (38) are
% 185.48/29.92  | |            inconsistent by sub-proof #572.
% 185.48/29.92  | | 
% 185.48/29.92  | Case 2:
% 185.48/29.92  | | 
% 185.48/29.92  | |   (39)  all_56_12 = e1 & op(e0, e3) = e1
% 185.48/29.92  | | 
% 185.48/29.92  | | ALPHA: (39) implies:
% 185.48/29.92  | |   (40)  all_56_12 = e1
% 185.48/29.92  | | 
% 185.48/29.92  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 185.48/29.92  | |            (14), (15), (17), (18), (19), (20), (21), (22), (23), (24), (26),
% 185.48/29.92  | |            (29), (30), (31), (32), (33), (34), (40) are inconsistent by
% 185.48/29.92  | |            sub-proof #557.
% 185.48/29.92  | | 
% 185.48/29.92  | End of split
% 185.48/29.92  | 
% 185.48/29.92  End of proof
% 185.48/29.92  
% 185.48/29.92  Sub-proof #557 shows that the following formulas are inconsistent:
% 185.48/29.92  ----------------------------------------------------------------
% 185.48/29.92    (1)  op(e0, e0) = all_6_2
% 185.48/29.92    (2)   ~ (all_4_2 = e0)
% 185.48/29.92    (3)  op(e2, e1) = e2
% 185.48/29.92    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.92         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.92    (5)  all_56_0 = e3
% 185.48/29.92    (6)   ~ (e1 = e0)
% 185.48/29.92    (7)   ~ (all_52_9 = e0)
% 185.48/29.92    (8)   ~ (e3 = e0)
% 185.48/29.92    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.92         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.92    (10)  op(e2, e1) = all_52_9
% 185.48/29.92    (11)   ~ (e2 = e0)
% 185.48/29.92    (12)   ~ (e3 = e1)
% 185.48/29.92    (13)   ~ (all_52_4 = all_52_7)
% 185.48/29.92    (14)   ~ (all_6_2 = e2)
% 185.48/29.92    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.92            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.92    (16)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.92          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.92    (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.92          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.92    (18)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.92          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.92    (19)   ~ (e3 = e2)
% 185.48/29.92    (20)  all_56_12 = e1
% 185.48/29.92    (21)  op(e3, e3) = all_4_2
% 185.48/29.92    (22)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.92          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.92    (23)  op(e3, e2) = all_52_4
% 185.48/29.92    (24)   ~ (all_52_4 = e0)
% 185.48/29.92    (25)   ~ (e2 = e1)
% 185.48/29.92    (26)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.92          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.92            e2)
% 185.48/29.92    (27)  op(e3, e2) = e2
% 185.48/29.92    (28)  op(e0, e2) = all_52_7
% 185.48/29.92    (29)   ~ (all_4_2 = e1)
% 185.48/29.92    (30)  op(e1, e1) = e1
% 185.48/29.92  
% 185.48/29.92  Begin of proof
% 185.48/29.92  | 
% 185.48/29.92  | BETA: splitting (26) gives:
% 185.48/29.92  | 
% 185.48/29.92  | Case 1:
% 185.48/29.92  | | 
% 185.48/29.92  | |   (31)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 185.48/29.92  | |           e2)
% 185.48/29.92  | | 
% 185.48/29.92  | | REF_CLOSE: (13), (15), (20), (23), (25), (27), (28), (31) are inconsistent
% 185.48/29.92  | |            by sub-proof #1341.
% 185.48/29.92  | | 
% 185.48/29.92  | Case 2:
% 185.48/29.92  | | 
% 185.48/29.92  | |   (32)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.92  | |           e2)
% 185.48/29.92  | | 
% 185.48/29.92  | | BETA: splitting (32) gives:
% 185.48/29.92  | | 
% 185.48/29.92  | | Case 1:
% 185.48/29.92  | | | 
% 185.48/29.92  | | |   (33)  all_56_14 = e2 & op(e0, e1) = e2
% 185.48/29.92  | | | 
% 185.48/29.92  | | | ALPHA: (33) implies:
% 185.48/29.92  | | |   (34)  all_56_14 = e2
% 185.48/29.92  | | | 
% 185.48/29.92  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (15),
% 185.48/29.92  | | |            (16), (17), (18), (19), (21), (22), (23), (24), (25), (29),
% 185.48/29.92  | | |            (30), (34) are inconsistent by sub-proof #561.
% 185.48/29.92  | | | 
% 185.48/29.92  | | Case 2:
% 185.48/29.92  | | | 
% 185.48/29.92  | | |   (35)  all_56_15 = e2 & op(e0, e0) = e2
% 185.48/29.92  | | | 
% 185.48/29.92  | | | ALPHA: (35) implies:
% 185.48/29.92  | | |   (36)  op(e0, e0) = e2
% 185.48/29.92  | | | 
% 185.48/29.92  | | | REF_CLOSE: (1), (14), (15), (36) are inconsistent by sub-proof #1511.
% 185.48/29.92  | | | 
% 185.48/29.92  | | End of split
% 185.48/29.92  | | 
% 185.48/29.92  | End of split
% 185.48/29.92  | 
% 185.48/29.92  End of proof
% 185.48/29.92  
% 185.48/29.92  Sub-proof #558 shows that the following formulas are inconsistent:
% 185.48/29.92  ----------------------------------------------------------------
% 185.48/29.92    (1)  all_54_6 = all_52_9
% 185.48/29.92    (2)  op(e2, e1) = e2
% 185.48/29.92    (3)   ~ (all_52_9 = e0)
% 185.48/29.92    (4)  op(e2, e1) = all_52_9
% 185.48/29.92    (5)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.92         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.92    (6)  op(e2, e3) = e1
% 185.48/29.92    (7)   ~ (all_52_9 = all_52_13)
% 185.48/29.92    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.92    (9)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 185.48/29.92    (10)   ~ (all_52_13 = e1)
% 185.48/29.92    (11)  all_54_7 = all_52_13
% 185.48/29.92    (12)  op(e2, e3) = e2
% 185.48/29.92    (13)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.48/29.92    (14)   ~ (all_52_13 = e2)
% 185.48/29.92    (15)   ~ (all_52_13 = e0)
% 185.48/29.92    (16)  all_56_1 = e2
% 185.48/29.92    (17)  all_56_13 = e1
% 185.48/29.92    (18)   ~ (all_52_9 = e1)
% 185.48/29.92    (19)  all_56_7 = e3
% 185.48/29.92    (20)  op(e2, e2) = e0
% 185.48/29.92  
% 185.48/29.92  Begin of proof
% 185.48/29.92  | 
% 185.48/29.92  | BETA: splitting (13) gives:
% 185.48/29.92  | 
% 185.48/29.92  | Case 1:
% 185.48/29.92  | | 
% 185.48/29.92  | |   (21)  all_54_7 = e3
% 185.48/29.92  | | 
% 185.48/29.92  | | COMBINE_EQS: (11), (21) imply:
% 185.48/29.92  | |   (22)  all_52_13 = e3
% 185.48/29.92  | | 
% 185.48/29.92  | | SIMP: (22) implies:
% 185.48/29.92  | |   (23)  all_52_13 = e3
% 185.48/29.92  | | 
% 185.48/29.92  | | REDUCE: (7), (23) imply:
% 185.48/29.92  | |   (24)   ~ (all_52_9 = e3)
% 185.48/29.92  | | 
% 185.48/29.92  | | BETA: splitting (9) gives:
% 185.48/29.92  | | 
% 185.48/29.92  | | Case 1:
% 185.48/29.92  | | | 
% 185.48/29.92  | | |   (25)  all_54_6 = e3
% 185.48/29.92  | | | 
% 185.48/29.92  | | | REF_CLOSE: (1), (24), (25) are inconsistent by sub-proof #1242.
% 185.48/29.92  | | | 
% 185.48/29.92  | | Case 2:
% 185.48/29.92  | | | 
% 185.48/29.92  | | |   (26)   ~ (all_54_6 = e3)
% 185.48/29.92  | | |   (27)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 185.48/29.92  | | | 
% 185.48/29.92  | | | BETA: splitting (27) gives:
% 185.48/29.92  | | | 
% 185.48/29.92  | | | Case 1:
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | |   (28)  all_54_6 = e2
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | | COMBINE_EQS: (1), (28) imply:
% 185.48/29.92  | | | |   (29)  all_52_9 = e2
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | | SIMP: (29) implies:
% 185.48/29.92  | | | |   (30)  all_52_9 = e2
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | | REDUCE: (24), (30) imply:
% 185.48/29.92  | | | |   (31)   ~ (e3 = e2)
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | | SIMP: (31) implies:
% 185.48/29.92  | | | |   (32)   ~ (e3 = e2)
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | | REDUCE: (18), (30) imply:
% 185.48/29.92  | | | |   (33)   ~ (e2 = e1)
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | | REDUCE: (3), (30) imply:
% 185.48/29.92  | | | |   (34)   ~ (e2 = e0)
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | | GROUND_INST: instantiating (8) with e1, e2, e3, e2, simplifying with
% 185.48/29.92  | | | |              (6), (12) gives:
% 185.48/29.92  | | | |   (35)  e2 = e1
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | | COMBINE_EQS: (16), (35) imply:
% 185.48/29.92  | | | |   (36)  all_56_1 = e1
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | | REF_CLOSE: (5), (8), (17), (19), (20), (32), (33), (34), (36) are
% 185.48/29.92  | | | |            inconsistent by sub-proof #1428.
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | Case 2:
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | |   (37)   ~ (all_54_6 = e2)
% 185.48/29.92  | | | |   (38)  all_54_6 = e1 | all_54_6 = e0
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | | REDUCE: (1), (37) imply:
% 185.48/29.92  | | | |   (39)   ~ (all_52_9 = e2)
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | | REF_CLOSE: (1), (2), (3), (4), (8), (38), (39) are inconsistent by
% 185.48/29.92  | | | |            sub-proof #1147.
% 185.48/29.92  | | | | 
% 185.48/29.92  | | | End of split
% 185.48/29.92  | | | 
% 185.48/29.92  | | End of split
% 185.48/29.92  | | 
% 185.48/29.92  | Case 2:
% 185.48/29.92  | | 
% 185.48/29.92  | |   (40)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.48/29.92  | | 
% 185.48/29.92  | | REF_CLOSE: (10), (11), (14), (15), (40) are inconsistent by sub-proof #944.
% 185.48/29.92  | | 
% 185.48/29.92  | End of split
% 185.48/29.92  | 
% 185.48/29.92  End of proof
% 185.48/29.92  
% 185.48/29.92  Sub-proof #559 shows that the following formulas are inconsistent:
% 185.48/29.92  ----------------------------------------------------------------
% 185.48/29.92    (1)  all_56_6 = e0
% 185.48/29.92    (2)  e2 = e1
% 185.48/29.92    (3)   ~ (e2 = e0)
% 185.48/29.92    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.92           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.92    (5)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.92         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.92    (6)  all_56_11 = e2
% 185.48/29.92    (7)   ~ (e3 = e2)
% 185.48/29.92    (8)   ~ (e2 = e1)
% 185.48/29.92    (9)  all_56_7 = e3
% 185.48/29.92    (10)  op(e1, e1) = e1
% 185.48/29.92  
% 185.48/29.92  Begin of proof
% 185.48/29.92  | 
% 185.48/29.92  | SIMP: (2) implies:
% 185.48/29.92  |   (11)  e2 = e1
% 185.48/29.92  | 
% 185.48/29.92  | COMBINE_EQS: (6), (11) imply:
% 185.48/29.92  |   (12)  all_56_11 = e1
% 185.48/29.92  | 
% 185.48/29.93  | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (10), (12) are inconsistent by
% 185.48/29.93  |            sub-proof #824.
% 185.48/29.93  | 
% 185.48/29.93  End of proof
% 185.48/29.93  
% 185.48/29.93  Sub-proof #560 shows that the following formulas are inconsistent:
% 185.48/29.93  ----------------------------------------------------------------
% 185.48/29.93    (1)   ~ (all_4_2 = e0)
% 185.48/29.93    (2)  all_56_6 = e0
% 185.48/29.93    (3)  op(e2, e1) = e2
% 185.48/29.93    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.93         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.93    (5)  all_56_0 = e3
% 185.48/29.93    (6)   ~ (e1 = e0)
% 185.48/29.93    (7)   ~ (all_52_9 = e0)
% 185.48/29.93    (8)   ~ (e3 = e0)
% 185.48/29.93    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.93         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.93    (10)  op(e2, e1) = all_52_9
% 185.48/29.93    (11)   ~ (e2 = e0)
% 185.48/29.93    (12)   ~ (e3 = e1)
% 185.48/29.93    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.93            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.93    (14)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.93          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.93    (15)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.93          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.93    (16)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2)
% 185.48/29.93    (17)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.93          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.93    (18)   ~ (e3 = e2)
% 185.48/29.93    (19)  all_56_14 = e3
% 185.48/29.93    (20)  op(e3, e3) = all_4_2
% 185.48/29.93    (21)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.93          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.93    (22)  op(e3, e2) = all_52_4
% 185.48/29.93    (23)   ~ (all_52_4 = e0)
% 185.48/29.93    (24)   ~ (e2 = e1)
% 185.48/29.93    (25)  all_56_7 = e3
% 185.48/29.93    (26)   ~ (all_4_2 = e1)
% 185.48/29.93    (27)  op(e1, e1) = e1
% 185.48/29.93  
% 185.48/29.93  Begin of proof
% 185.48/29.93  | 
% 185.48/29.93  | BETA: splitting (16) gives:
% 185.48/29.93  | 
% 185.48/29.93  | Case 1:
% 185.48/29.93  | | 
% 185.48/29.93  | |   (28)  all_56_6 = e2 & op(e1, e3) = e2
% 185.48/29.93  | | 
% 185.48/29.93  | | ALPHA: (28) implies:
% 185.48/29.93  | |   (29)  all_56_6 = e2
% 185.48/29.93  | | 
% 185.48/29.93  | | REF_CLOSE: (2), (11), (29) are inconsistent by sub-proof #1592.
% 185.48/29.93  | | 
% 185.48/29.93  | Case 2:
% 185.48/29.93  | | 
% 185.48/29.93  | |   (30)  all_56_7 = e2 & op(e1, e2) = e2
% 185.48/29.93  | | 
% 185.48/29.93  | | ALPHA: (30) implies:
% 185.48/29.93  | |   (31)  all_56_7 = e2
% 185.48/29.93  | | 
% 185.48/29.93  | | COMBINE_EQS: (25), (31) imply:
% 185.48/29.93  | |   (32)  e3 = e2
% 185.48/29.93  | | 
% 185.48/29.93  | | COMBINE_EQS: (19), (32) imply:
% 185.48/29.93  | |   (33)  all_56_14 = e2
% 185.48/29.93  | | 
% 185.48/29.93  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 185.48/29.93  | |            (14), (15), (17), (18), (20), (21), (22), (23), (24), (26), (27),
% 185.48/29.93  | |            (33) are inconsistent by sub-proof #561.
% 185.48/29.93  | | 
% 185.48/29.93  | End of split
% 185.48/29.93  | 
% 185.48/29.93  End of proof
% 185.48/29.93  
% 185.48/29.93  Sub-proof #561 shows that the following formulas are inconsistent:
% 185.48/29.93  ----------------------------------------------------------------
% 185.48/29.93    (1)   ~ (all_4_2 = e0)
% 185.48/29.93    (2)  op(e2, e1) = e2
% 185.48/29.93    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.93         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.93    (4)  all_56_0 = e3
% 185.48/29.93    (5)   ~ (e1 = e0)
% 185.48/29.93    (6)   ~ (all_52_9 = e0)
% 185.48/29.93    (7)   ~ (e3 = e0)
% 185.48/29.93    (8)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.93         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.93    (9)  op(e2, e1) = all_52_9
% 185.48/29.93    (10)   ~ (e2 = e0)
% 185.48/29.93    (11)   ~ (e3 = e1)
% 185.48/29.93    (12)  all_56_14 = e2
% 185.48/29.93    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.93            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.93    (14)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.93          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.93    (15)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.93          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.93    (16)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.93          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.93    (17)   ~ (e3 = e2)
% 185.48/29.93    (18)  op(e3, e3) = all_4_2
% 185.48/29.93    (19)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.93          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.93    (20)  op(e3, e2) = all_52_4
% 185.48/29.93    (21)   ~ (all_52_4 = e0)
% 185.48/29.93    (22)   ~ (e2 = e1)
% 185.48/29.93    (23)   ~ (all_4_2 = e1)
% 185.48/29.93    (24)  op(e1, e1) = e1
% 185.48/29.93  
% 185.48/29.93  Begin of proof
% 185.48/29.93  | 
% 185.48/29.93  | BETA: splitting (3) gives:
% 185.48/29.93  | 
% 185.48/29.93  | Case 1:
% 185.48/29.93  | | 
% 185.48/29.93  | |   (25)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 185.48/29.93  | |           e3)
% 185.48/29.93  | | 
% 185.48/29.93  | | BETA: splitting (25) gives:
% 185.48/29.93  | | 
% 185.48/29.93  | | Case 1:
% 185.48/29.93  | | | 
% 185.48/29.93  | | |   (26)  all_56_4 = e3 & op(e3, e1) = e3
% 185.48/29.93  | | | 
% 185.48/29.93  | | | ALPHA: (26) implies:
% 185.48/29.93  | | |   (27)  all_56_4 = e3
% 185.48/29.93  | | | 
% 185.48/29.93  | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 185.48/29.93  | | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 185.48/29.93  | | |            (27) are inconsistent by sub-proof #563.
% 185.48/29.93  | | | 
% 185.48/29.93  | | Case 2:
% 185.48/29.93  | | | 
% 185.48/29.93  | | |   (28)  all_56_5 = e3 & op(e2, e1) = e3
% 185.48/29.93  | | | 
% 185.48/29.93  | | | ALPHA: (28) implies:
% 185.48/29.93  | | |   (29)  op(e2, e1) = e3
% 185.48/29.93  | | | 
% 185.48/29.93  | | | REF_CLOSE: (2), (13), (17), (29) are inconsistent by sub-proof #1297.
% 185.48/29.93  | | | 
% 185.48/29.93  | | End of split
% 185.48/29.93  | | 
% 185.48/29.93  | Case 2:
% 185.48/29.93  | | 
% 185.48/29.93  | |   (30)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 185.48/29.93  | |           e3)
% 185.48/29.93  | | 
% 185.48/29.93  | | REF_CLOSE: (11), (12), (13), (17), (24), (30) are inconsistent by sub-proof
% 185.48/29.93  | |            #562.
% 185.48/29.93  | | 
% 185.48/29.93  | End of split
% 185.48/29.93  | 
% 185.48/29.93  End of proof
% 185.48/29.93  
% 185.48/29.93  Sub-proof #562 shows that the following formulas are inconsistent:
% 185.48/29.93  ----------------------------------------------------------------
% 185.48/29.93    (1)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.93    (2)   ~ (e3 = e1)
% 185.48/29.93    (3)  all_56_14 = e2
% 185.48/29.93    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.93    (5)   ~ (e3 = e2)
% 185.48/29.93    (6)  op(e1, e1) = e1
% 185.48/29.93  
% 185.48/29.93  Begin of proof
% 185.48/29.93  | 
% 185.48/29.93  | BETA: splitting (1) gives:
% 185.48/29.93  | 
% 185.48/29.93  | Case 1:
% 185.48/29.93  | | 
% 185.48/29.93  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 185.48/29.93  | | 
% 185.48/29.93  | | ALPHA: (7) implies:
% 185.48/29.93  | |   (8)  op(e1, e1) = e3
% 185.48/29.93  | | 
% 185.48/29.93  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1541.
% 185.48/29.93  | | 
% 185.48/29.93  | Case 2:
% 185.48/29.93  | | 
% 185.48/29.93  | |   (9)  all_56_14 = e3 & op(e0, e1) = e3
% 185.48/29.93  | | 
% 185.48/29.93  | | REF_CLOSE: (3), (5), (9) are inconsistent by sub-proof #1275.
% 185.48/29.93  | | 
% 185.48/29.93  | End of split
% 185.48/29.93  | 
% 185.48/29.93  End of proof
% 185.48/29.93  
% 185.48/29.93  Sub-proof #563 shows that the following formulas are inconsistent:
% 185.48/29.93  ----------------------------------------------------------------
% 185.48/29.93    (1)   ~ (all_4_2 = e0)
% 185.48/29.93    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.93         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.93    (3)  all_56_0 = e3
% 185.48/29.93    (4)   ~ (e1 = e0)
% 185.48/29.93    (5)   ~ (all_52_9 = e0)
% 185.48/29.93    (6)   ~ (e3 = e0)
% 185.48/29.93    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.93         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.93    (8)  op(e2, e1) = all_52_9
% 185.48/29.93    (9)   ~ (e2 = e0)
% 185.48/29.93    (10)   ~ (e3 = e1)
% 185.48/29.93    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.93            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.93    (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.93          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.93    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.93          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.93    (14)  all_56_4 = e3
% 185.48/29.93    (15)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.93          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.93    (16)   ~ (e3 = e2)
% 185.48/29.93    (17)  op(e3, e3) = all_4_2
% 185.48/29.93    (18)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.93          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.93    (19)  op(e3, e2) = all_52_4
% 185.48/29.93    (20)   ~ (all_52_4 = e0)
% 185.48/29.93    (21)   ~ (e2 = e1)
% 185.48/29.93    (22)   ~ (all_4_2 = e1)
% 185.48/29.93    (23)  op(e1, e1) = e1
% 185.48/29.93  
% 185.48/29.93  Begin of proof
% 185.48/29.93  | 
% 185.48/29.93  | BETA: splitting (7) gives:
% 185.48/29.93  | 
% 185.48/29.93  | Case 1:
% 185.48/29.93  | | 
% 185.48/29.93  | |   (24)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 185.48/29.93  | |           e0)
% 185.48/29.93  | | 
% 185.48/29.93  | | REF_CLOSE: (1), (11), (17), (19), (20), (24) are inconsistent by sub-proof
% 185.48/29.93  | |            #1060.
% 185.48/29.93  | | 
% 185.48/29.93  | Case 2:
% 185.48/29.93  | | 
% 185.48/29.93  | |   (25)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 185.48/29.93  | |           e0)
% 185.48/29.93  | | 
% 185.48/29.93  | | BETA: splitting (25) gives:
% 185.48/29.93  | | 
% 185.48/29.93  | | Case 1:
% 185.48/29.93  | | | 
% 185.48/29.93  | | |   (26)  all_56_4 = e0 & op(e3, e1) = e0
% 185.48/29.93  | | | 
% 185.48/29.93  | | | REF_CLOSE: (6), (14), (26) are inconsistent by sub-proof #591.
% 185.48/29.93  | | | 
% 185.48/29.93  | | Case 2:
% 185.48/29.93  | | | 
% 185.48/29.93  | | |   (27)  all_56_9 = e0 & op(e3, e0) = e0
% 185.48/29.93  | | | 
% 185.48/29.93  | | | ALPHA: (27) implies:
% 185.48/29.93  | | |   (28)  all_56_9 = e0
% 185.48/29.93  | | | 
% 185.48/29.93  | | | BETA: splitting (12) gives:
% 185.48/29.93  | | | 
% 185.48/29.93  | | | Case 1:
% 185.48/29.93  | | | | 
% 185.48/29.93  | | | |   (29)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1)
% 185.48/29.93  | | | |           = e0)
% 185.48/29.93  | | | | 
% 185.48/29.93  | | | | BETA: splitting (29) gives:
% 185.48/29.93  | | | | 
% 185.48/29.93  | | | | Case 1:
% 185.48/29.93  | | | | | 
% 185.48/29.93  | | | | |   (30)  all_56_4 = e0 & op(e3, e1) = e0
% 185.48/29.93  | | | | | 
% 185.48/29.93  | | | | | REF_CLOSE: (6), (14), (30) are inconsistent by sub-proof #591.
% 185.48/29.93  | | | | | 
% 185.48/29.93  | | | | Case 2:
% 185.48/29.93  | | | | | 
% 185.48/29.93  | | | | |   (31)  all_56_5 = e0 & op(e2, e1) = e0
% 185.48/29.93  | | | | | 
% 185.48/29.93  | | | | | REF_CLOSE: (5), (8), (11), (31) are inconsistent by sub-proof #1476.
% 185.48/29.93  | | | | | 
% 185.48/29.93  | | | | End of split
% 185.48/29.93  | | | | 
% 185.48/29.93  | | | Case 2:
% 185.48/29.93  | | | | 
% 185.48/29.93  | | | |   (32)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1)
% 185.48/29.93  | | | |           = e0)
% 185.48/29.93  | | | | 
% 185.48/29.93  | | | | BETA: splitting (32) gives:
% 185.48/29.93  | | | | 
% 185.48/29.93  | | | | Case 1:
% 185.48/29.93  | | | | | 
% 185.48/29.93  | | | | |   (33)  all_56_8 = e0 & op(e1, e1) = e0
% 185.48/29.93  | | | | | 
% 185.48/29.93  | | | | | ALPHA: (33) implies:
% 185.48/29.93  | | | | |   (34)  op(e1, e1) = e0
% 185.48/29.93  | | | | | 
% 185.48/29.93  | | | | | REF_CLOSE: (4), (11), (23), (34) are inconsistent by sub-proof #1619.
% 185.48/29.93  | | | | | 
% 185.48/29.93  | | | | Case 2:
% 185.48/29.93  | | | | | 
% 185.48/29.93  | | | | |   (35)  all_56_14 = e0 & op(e0, e1) = e0
% 185.48/29.93  | | | | | 
% 185.48/29.93  | | | | | ALPHA: (35) implies:
% 185.48/29.93  | | | | |   (36)  all_56_14 = e0
% 185.48/29.93  | | | | | 
% 185.48/29.93  | | | | | REF_CLOSE: (2), (3), (4), (6), (9), (10), (11), (13), (14), (15),
% 185.48/29.93  | | | | |            (16), (17), (18), (21), (22), (23), (28), (36) are
% 185.48/29.93  | | | | |            inconsistent by sub-proof #564.
% 185.48/29.93  | | | | | 
% 185.48/29.93  | | | | End of split
% 185.48/29.93  | | | | 
% 185.48/29.93  | | | End of split
% 185.48/29.93  | | | 
% 185.48/29.93  | | End of split
% 185.48/29.93  | | 
% 185.48/29.93  | End of split
% 185.48/29.93  | 
% 185.48/29.93  End of proof
% 185.48/29.93  
% 185.48/29.93  Sub-proof #564 shows that the following formulas are inconsistent:
% 185.48/29.93  ----------------------------------------------------------------
% 185.48/29.93    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.93         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.93    (2)  all_56_0 = e3
% 185.48/29.93    (3)   ~ (e1 = e0)
% 185.48/29.93    (4)   ~ (e3 = e0)
% 185.48/29.93    (5)   ~ (e2 = e0)
% 185.48/29.93    (6)   ~ (e3 = e1)
% 185.48/29.93    (7)  all_56_9 = e0
% 185.48/29.93    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.93           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.93    (9)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.93         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.93    (10)  all_56_4 = e3
% 185.48/29.93    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.93          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.93    (12)   ~ (e3 = e2)
% 185.48/29.93    (13)  op(e3, e3) = all_4_2
% 185.48/29.93    (14)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.93          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.93    (15)   ~ (e2 = e1)
% 185.48/29.93    (16)  all_56_14 = e0
% 185.48/29.93    (17)   ~ (all_4_2 = e1)
% 185.48/29.93    (18)  op(e1, e1) = e1
% 185.48/29.93  
% 185.48/29.93  Begin of proof
% 185.48/29.93  | 
% 185.48/29.93  | BETA: splitting (9) gives:
% 185.48/29.93  | 
% 185.48/29.93  | Case 1:
% 185.48/29.93  | | 
% 185.48/29.93  | |   (19)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) =
% 185.48/29.93  | |           e1)
% 185.48/29.93  | | 
% 185.48/29.93  | | BETA: splitting (19) gives:
% 185.48/29.93  | | 
% 185.48/29.93  | | Case 1:
% 185.48/29.93  | | | 
% 185.48/29.93  | | |   (20)  all_56_0 = e1 & op(e3, e3) = e1
% 185.48/29.93  | | | 
% 185.48/29.93  | | | ALPHA: (20) implies:
% 185.48/29.93  | | |   (21)  op(e3, e3) = e1
% 185.48/29.93  | | | 
% 185.48/29.93  | | | REF_CLOSE: (8), (13), (17), (21) are inconsistent by sub-proof #1525.
% 185.48/29.93  | | | 
% 185.48/29.93  | | Case 2:
% 185.48/29.93  | | | 
% 185.48/29.93  | | |   (22)  all_56_1 = e1 & op(e3, e2) = e1
% 185.48/29.93  | | | 
% 185.48/29.93  | | | ALPHA: (22) implies:
% 185.48/29.93  | | |   (23)  all_56_1 = e1
% 185.48/29.93  | | | 
% 185.48/29.93  | | | REF_CLOSE: (2), (5), (7), (10), (11), (12), (15), (23) are inconsistent by
% 185.48/29.93  | | |            sub-proof #971.
% 185.48/29.93  | | | 
% 185.48/29.93  | | End of split
% 185.48/29.93  | | 
% 185.48/29.93  | Case 2:
% 185.48/29.93  | | 
% 185.48/29.93  | |   (24)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 185.48/29.93  | |           e1)
% 185.48/29.93  | | 
% 185.48/29.93  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (12), (14), (15), (16), (18),
% 185.48/29.93  | |            (24) are inconsistent by sub-proof #590.
% 185.48/29.93  | | 
% 185.48/29.93  | End of split
% 185.48/29.93  | 
% 185.48/29.93  End of proof
% 185.48/29.93  
% 185.48/29.93  Sub-proof #565 shows that the following formulas are inconsistent:
% 185.48/29.93  ----------------------------------------------------------------
% 185.48/29.93    (1)  op(e0, e0) = all_6_2
% 185.48/29.93    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.48/29.93         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.48/29.93    (3)   ~ (all_4_2 = e0)
% 185.48/29.93    (4)  all_56_6 = e0
% 185.48/29.93    (5)   ~ (all_6_2 = e1)
% 185.48/29.93    (6)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.93         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.93    (7)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.93         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.93    (8)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.48/29.93    (9)   ~ (e1 = e0)
% 185.48/29.93    (10)   ~ (all_52_9 = e0)
% 185.48/29.93    (11)  op(e0, e0) = e0
% 185.48/29.93    (12)   ~ (e3 = e0)
% 185.48/29.93    (13)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.48/29.93          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.48/29.93    (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.93          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.93    (15)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.93          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.93    (16)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.93          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.93    (17)  op(e2, e1) = all_52_9
% 185.48/29.93    (18)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.48/29.93          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.48/29.93    (19)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.93          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.48/29.93    (20)   ~ (all_52_6 = e0)
% 185.48/29.93    (21)   ~ (e2 = e0)
% 185.48/29.93    (22)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.93          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.93    (23)   ~ (e3 = e1)
% 185.48/29.93    (24)   ~ (all_52_4 = all_52_7)
% 185.48/29.93    (25)   ~ (all_6_2 = e2)
% 185.48/29.93    (26)  op(e0, e3) = all_52_3
% 185.48/29.93    (27)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.93            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.93    (28)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.93          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.93    (29)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.93          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.93    (30)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.93          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.93    (31)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.93          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.93    (32)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.93          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.93    (33)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.93          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.93            e1)
% 185.48/29.93    (34)   ~ (e3 = e2)
% 185.48/29.93    (35)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.48/29.93          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.48/29.93    (36)  op(e3, e3) = all_4_2
% 185.48/29.93    (37)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.93          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.93    (38)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.93          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.93    (39)  op(e3, e2) = all_52_4
% 185.48/29.93    (40)  all_56_4 = e0
% 185.48/29.93    (41)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.48/29.93          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.48/29.93    (42)  op(e1, e2) = all_52_6
% 185.48/29.93    (43)   ~ (all_52_4 = e0)
% 185.48/29.93    (44)  op(e3, e3) = e3
% 185.48/29.93    (45)   ~ (e2 = e1)
% 185.48/29.93    (46)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.93          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.93            e2)
% 185.48/29.93    (47)  op(e0, e2) = all_52_7
% 185.48/29.93    (48)  all_56_7 = e3
% 185.48/29.93    (49)  op(e2, e2) = e0
% 185.48/29.93    (50)   ~ (all_4_2 = e1)
% 185.48/29.93    (51)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.93          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.93    (52)  op(e1, e1) = e1
% 185.48/29.93  
% 185.48/29.93  Begin of proof
% 185.48/29.93  | 
% 185.48/29.93  | BETA: splitting (8) gives:
% 185.48/29.93  | 
% 185.48/29.93  | Case 1:
% 185.48/29.93  | | 
% 185.48/29.93  | |   (53)  all_56_12 = e3 & op(e0, e3) = e3
% 185.48/29.93  | | 
% 185.48/29.93  | | ALPHA: (53) implies:
% 185.48/29.93  | |   (54)  all_56_12 = e3
% 185.48/29.93  | |   (55)  op(e0, e3) = e3
% 185.48/29.93  | | 
% 185.48/29.93  | | REF_CLOSE: (1), (3), (5), (7), (9), (10), (12), (14), (15), (16), (17),
% 185.48/29.93  | |            (19), (21), (23), (25), (26), (27), (28), (29), (30), (32), (33),
% 185.48/29.93  | |            (34), (36), (37), (38), (39), (43), (44), (45), (46), (49), (50),
% 185.48/29.93  | |            (51), (52), (54), (55) are inconsistent by sub-proof #577.
% 185.48/29.93  | | 
% 185.48/29.93  | Case 2:
% 185.48/29.93  | | 
% 185.48/29.93  | |   (56)  all_56_13 = e3 & op(e0, e2) = e3
% 185.48/29.93  | | 
% 185.48/29.93  | | ALPHA: (56) implies:
% 185.48/29.93  | |   (57)  all_56_13 = e3
% 185.48/29.93  | | 
% 185.48/29.93  | | BETA: splitting (32) gives:
% 185.48/29.93  | | 
% 185.48/29.93  | | Case 1:
% 185.48/29.93  | | | 
% 185.48/29.93  | | |   (58)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 185.48/29.93  | | |           e2)
% 185.48/29.93  | | | 
% 185.48/29.93  | | | BETA: splitting (58) gives:
% 185.48/29.93  | | | 
% 185.48/29.93  | | | Case 1:
% 185.48/29.93  | | | | 
% 185.48/29.93  | | | |   (59)  all_56_0 = e2 & op(e3, e3) = e2
% 185.48/29.93  | | | | 
% 185.48/29.93  | | | | ALPHA: (59) implies:
% 185.48/29.93  | | | |   (60)  op(e3, e3) = e2
% 185.48/29.93  | | | | 
% 185.48/29.93  | | | | REF_CLOSE: (27), (34), (44), (60) are inconsistent by sub-proof #1594.
% 185.48/29.93  | | | | 
% 185.48/29.93  | | | Case 2:
% 185.48/29.93  | | | | 
% 185.48/29.93  | | | |   (61)  all_56_1 = e2 & op(e3, e2) = e2
% 185.48/29.93  | | | | 
% 185.48/29.93  | | | | ALPHA: (61) implies:
% 185.48/29.93  | | | |   (62)  all_56_1 = e2
% 185.48/29.93  | | | | 
% 185.48/29.93  | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (10), (12), (15), (16),
% 185.48/29.93  | | | |            (17), (18), (19), (20), (21), (23), (25), (27), (28), (30),
% 185.48/29.93  | | | |            (31), (33), (34), (36), (37), (38), (41), (42), (44), (45),
% 185.48/29.93  | | | |            (46), (49), (50), (51), (52), (57), (62) are inconsistent by
% 185.48/29.93  | | | |            sub-proof #574.
% 185.48/29.93  | | | | 
% 185.48/29.93  | | | End of split
% 185.48/29.93  | | | 
% 185.48/29.93  | | Case 2:
% 185.48/29.93  | | | 
% 185.48/29.93  | | |   (63)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 185.48/29.93  | | |           e2)
% 185.48/29.93  | | | 
% 185.48/29.93  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (10), (11), (12), (13),
% 185.48/29.93  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 185.48/29.93  | | |            (24), (25), (27), (28), (29), (30), (31), (32), (33), (34),
% 185.48/29.93  | | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44),
% 185.48/29.93  | | |            (45), (46), (47), (48), (49), (50), (51), (52), (63) are
% 185.48/29.93  | | |            inconsistent by sub-proof #566.
% 185.48/29.93  | | | 
% 185.48/29.93  | | End of split
% 185.48/29.93  | | 
% 185.48/29.93  | End of split
% 185.48/29.93  | 
% 185.48/29.93  End of proof
% 185.48/29.93  
% 185.48/29.93  Sub-proof #566 shows that the following formulas are inconsistent:
% 185.48/29.93  ----------------------------------------------------------------
% 185.48/29.93    (1)  op(e0, e0) = all_6_2
% 185.48/29.93    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.48/29.93         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.48/29.93    (3)   ~ (all_4_2 = e0)
% 185.48/29.93    (4)  all_56_6 = e0
% 185.48/29.93    (5)   ~ (all_6_2 = e1)
% 185.48/29.93    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.93         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.93    (7)   ~ (e1 = e0)
% 185.48/29.93    (8)   ~ (all_52_9 = e0)
% 185.48/29.93    (9)  op(e0, e0) = e0
% 185.48/29.93    (10)   ~ (e3 = e0)
% 185.48/29.93    (11)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.48/29.93          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.48/29.93    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.93          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.93    (13)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.93          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.93    (14)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.93          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.93    (15)  op(e2, e1) = all_52_9
% 185.48/29.93    (16)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.48/29.93          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.48/29.93    (17)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.93          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.48/29.93    (18)   ~ (all_52_6 = e0)
% 185.48/29.93    (19)   ~ (e2 = e0)
% 185.48/29.93    (20)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.93          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.93    (21)   ~ (e3 = e1)
% 185.48/29.93    (22)   ~ (all_52_4 = all_52_7)
% 185.48/29.93    (23)   ~ (all_6_2 = e2)
% 185.48/29.93    (24)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.93            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.93    (25)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.93          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.93    (26)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.93          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.93    (27)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.93          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.93    (28)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.93          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.93    (29)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.93          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.93    (30)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.93          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.93            e1)
% 185.48/29.93    (31)   ~ (e3 = e2)
% 185.48/29.93    (32)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.48/29.93          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.48/29.93    (33)  op(e3, e3) = all_4_2
% 185.48/29.93    (34)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.93          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.93    (35)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.93    (36)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.93          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.93    (37)  op(e3, e2) = all_52_4
% 185.48/29.93    (38)  all_56_4 = e0
% 185.48/29.93    (39)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.48/29.93          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.48/29.93    (40)  op(e1, e2) = all_52_6
% 185.48/29.93    (41)   ~ (all_52_4 = e0)
% 185.48/29.93    (42)  op(e3, e3) = e3
% 185.48/29.93    (43)   ~ (e2 = e1)
% 185.48/29.94    (44)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.94          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.94            e2)
% 185.48/29.94    (45)  op(e0, e2) = all_52_7
% 185.48/29.94    (46)  all_56_7 = e3
% 185.48/29.94    (47)  op(e2, e2) = e0
% 185.48/29.94    (48)   ~ (all_4_2 = e1)
% 185.48/29.94    (49)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.94          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.94    (50)  op(e1, e1) = e1
% 185.48/29.94  
% 185.48/29.94  Begin of proof
% 185.48/29.94  | 
% 185.48/29.94  | BETA: splitting (35) gives:
% 185.48/29.94  | 
% 185.48/29.94  | Case 1:
% 185.48/29.94  | | 
% 185.48/29.94  | |   (51)  all_56_4 = e2 & op(e3, e1) = e2
% 185.48/29.94  | | 
% 185.48/29.94  | | ALPHA: (51) implies:
% 185.48/29.94  | |   (52)  all_56_4 = e2
% 185.48/29.94  | | 
% 185.48/29.94  | | REF_CLOSE: (19), (38), (52) are inconsistent by sub-proof #1394.
% 185.48/29.94  | | 
% 185.48/29.94  | Case 2:
% 185.48/29.94  | | 
% 185.48/29.94  | |   (53)  all_56_9 = e2 & op(e3, e0) = e2
% 185.48/29.94  | | 
% 185.48/29.94  | | ALPHA: (53) implies:
% 185.48/29.94  | |   (54)  all_56_9 = e2
% 185.48/29.94  | | 
% 185.48/29.94  | | BETA: splitting (11) gives:
% 185.48/29.94  | | 
% 185.48/29.94  | | Case 1:
% 185.48/29.94  | | | 
% 185.48/29.94  | | |   (55)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 185.48/29.94  | | |           e1)
% 185.48/29.94  | | | 
% 185.48/29.94  | | | BETA: splitting (55) gives:
% 185.48/29.94  | | | 
% 185.48/29.94  | | | Case 1:
% 185.48/29.94  | | | | 
% 185.48/29.94  | | | |   (56)  all_56_9 = e1 & op(e3, e0) = e1
% 185.48/29.94  | | | | 
% 185.48/29.94  | | | | ALPHA: (56) implies:
% 185.48/29.94  | | | |   (57)  all_56_9 = e1
% 185.48/29.94  | | | | 
% 185.48/29.94  | | | | REF_CLOSE: (43), (54), (57) are inconsistent by sub-proof #1503.
% 185.48/29.94  | | | | 
% 185.48/29.94  | | | Case 2:
% 185.48/29.94  | | | | 
% 185.48/29.94  | | | |   (58)  all_56_10 = e1 & op(e2, e0) = e1
% 185.48/29.94  | | | | 
% 185.48/29.94  | | | | ALPHA: (58) implies:
% 185.48/29.94  | | | |   (59)  all_56_10 = e1
% 185.48/29.94  | | | | 
% 185.48/29.94  | | | | BETA: splitting (28) gives:
% 185.48/29.94  | | | | 
% 185.48/29.94  | | | | Case 1:
% 185.48/29.94  | | | | | 
% 185.48/29.94  | | | | |   (60)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1,
% 185.48/29.94  | | | | |             e2) = e2)
% 185.48/29.94  | | | | | 
% 185.48/29.94  | | | | | BETA: splitting (60) gives:
% 185.48/29.94  | | | | | 
% 185.48/29.94  | | | | | Case 1:
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | |   (61)  all_56_6 = e2 & op(e1, e3) = e2
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | | REF_CLOSE: (4), (6), (7), (8), (10), (15), (19), (21), (24), (25),
% 185.48/29.94  | | | | | |            (26), (29), (31), (33), (34), (38), (42), (43), (48),
% 185.48/29.94  | | | | | |            (50), (54), (61) are inconsistent by sub-proof #571.
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | Case 2:
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | |   (62)  all_56_7 = e2 & op(e1, e2) = e2
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | | ALPHA: (62) implies:
% 185.48/29.94  | | | | | |   (63)  all_56_7 = e2
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | | REF_CLOSE: (31), (46), (63) are inconsistent by sub-proof #1430.
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | End of split
% 185.48/29.94  | | | | | 
% 185.48/29.94  | | | | Case 2:
% 185.48/29.94  | | | | | 
% 185.48/29.94  | | | | |   (64)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1,
% 185.48/29.94  | | | | |             e0) = e2)
% 185.48/29.94  | | | | | 
% 185.48/29.94  | | | | | BETA: splitting (64) gives:
% 185.48/29.94  | | | | | 
% 185.48/29.94  | | | | | Case 1:
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | |   (65)  all_56_8 = e2 & op(e1, e1) = e2
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | | ALPHA: (65) implies:
% 185.48/29.94  | | | | | |   (66)  op(e1, e1) = e2
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | | REF_CLOSE: (24), (43), (50), (66) are inconsistent by sub-proof
% 185.48/29.94  | | | | | |            #1473.
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | Case 2:
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | |   (67)  all_56_11 = e2 & op(e1, e0) = e2
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | | ALPHA: (67) implies:
% 185.48/29.94  | | | | | |   (68)  all_56_11 = e2
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (12), (13),
% 185.48/29.94  | | | | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 185.48/29.94  | | | | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31),
% 185.48/29.94  | | | | | |            (32), (33), (34), (36), (37), (39), (40), (41), (42),
% 185.48/29.94  | | | | | |            (43), (44), (45), (46), (47), (48), (49), (50), (59),
% 185.48/29.94  | | | | | |            (68) are inconsistent by sub-proof #568.
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | End of split
% 185.48/29.94  | | | | | 
% 185.48/29.94  | | | | End of split
% 185.48/29.94  | | | | 
% 185.48/29.94  | | | End of split
% 185.48/29.94  | | | 
% 185.48/29.94  | | Case 2:
% 185.48/29.94  | | | 
% 185.48/29.94  | | |   (69)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0)
% 185.48/29.94  | | |           = e1)
% 185.48/29.94  | | | 
% 185.48/29.94  | | | REF_CLOSE: (1), (4), (5), (19), (24), (28), (31), (43), (46), (50), (69)
% 185.48/29.94  | | |            are inconsistent by sub-proof #567.
% 185.48/29.94  | | | 
% 185.48/29.94  | | End of split
% 185.48/29.94  | | 
% 185.48/29.94  | End of split
% 185.48/29.94  | 
% 185.48/29.94  End of proof
% 185.48/29.94  
% 185.48/29.94  Sub-proof #567 shows that the following formulas are inconsistent:
% 185.48/29.94  ----------------------------------------------------------------
% 185.48/29.94    (1)  op(e0, e0) = all_6_2
% 185.48/29.94    (2)  all_56_6 = e0
% 185.48/29.94    (3)   ~ (all_6_2 = e1)
% 185.48/29.94    (4)   ~ (e2 = e0)
% 185.48/29.94    (5)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.48/29.94    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.94           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.94    (7)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.94         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.94    (8)   ~ (e3 = e2)
% 185.48/29.94    (9)   ~ (e2 = e1)
% 185.48/29.94    (10)  all_56_7 = e3
% 185.48/29.94    (11)  op(e1, e1) = e1
% 185.48/29.94  
% 185.48/29.94  Begin of proof
% 185.48/29.94  | 
% 185.48/29.94  | BETA: splitting (5) gives:
% 185.48/29.94  | 
% 185.48/29.94  | Case 1:
% 185.48/29.94  | | 
% 185.48/29.94  | |   (12)  all_56_11 = e1 & op(e1, e0) = e1
% 185.48/29.94  | | 
% 185.48/29.94  | | ALPHA: (12) implies:
% 185.48/29.94  | |   (13)  all_56_11 = e1
% 185.48/29.94  | | 
% 185.48/29.94  | | REF_CLOSE: (2), (4), (6), (7), (8), (9), (10), (11), (13) are inconsistent
% 185.48/29.94  | |            by sub-proof #824.
% 185.48/29.94  | | 
% 185.48/29.94  | Case 2:
% 185.48/29.94  | | 
% 185.48/29.94  | |   (14)  all_56_15 = e1 & op(e0, e0) = e1
% 185.48/29.94  | | 
% 185.48/29.94  | | ALPHA: (14) implies:
% 185.48/29.94  | |   (15)  op(e0, e0) = e1
% 185.48/29.94  | | 
% 185.48/29.94  | | REF_CLOSE: (1), (3), (6), (15) are inconsistent by sub-proof #1516.
% 185.48/29.94  | | 
% 185.48/29.94  | End of split
% 185.48/29.94  | 
% 185.48/29.94  End of proof
% 185.48/29.94  
% 185.48/29.94  Sub-proof #568 shows that the following formulas are inconsistent:
% 185.48/29.94  ----------------------------------------------------------------
% 185.48/29.94    (1)  op(e0, e0) = all_6_2
% 185.48/29.94    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.48/29.94         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.48/29.94    (3)   ~ (all_4_2 = e0)
% 185.48/29.94    (4)   ~ (all_6_2 = e1)
% 185.48/29.94    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.94         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.94    (6)   ~ (e1 = e0)
% 185.48/29.94    (7)   ~ (all_52_9 = e0)
% 185.48/29.94    (8)  op(e0, e0) = e0
% 185.48/29.94    (9)   ~ (e3 = e0)
% 185.48/29.94    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.94          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.94    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.94          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.94    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.94          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.94    (13)  op(e2, e1) = all_52_9
% 185.48/29.94    (14)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.48/29.94          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.48/29.94    (15)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.94          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.48/29.94    (16)   ~ (all_52_6 = e0)
% 185.48/29.94    (17)   ~ (e2 = e0)
% 185.48/29.94    (18)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.94          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.94    (19)   ~ (e3 = e1)
% 185.48/29.94    (20)   ~ (all_52_4 = all_52_7)
% 185.48/29.94    (21)   ~ (all_6_2 = e2)
% 185.48/29.94    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.94            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.94    (23)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.94          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.94    (24)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.94          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.94    (25)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.94          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.94    (26)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.94          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.94    (27)  all_56_11 = e2
% 185.48/29.94    (28)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.94          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.94    (29)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.94          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.94            e1)
% 185.48/29.94    (30)   ~ (e3 = e2)
% 185.48/29.94    (31)  all_56_10 = e1
% 185.48/29.94    (32)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.48/29.94          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.48/29.94    (33)  op(e3, e3) = all_4_2
% 185.48/29.94    (34)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.94          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.94    (35)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.94          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.94    (36)  op(e3, e2) = all_52_4
% 185.48/29.94    (37)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.48/29.94          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.48/29.94    (38)  op(e1, e2) = all_52_6
% 185.48/29.94    (39)   ~ (all_52_4 = e0)
% 185.48/29.94    (40)  op(e3, e3) = e3
% 185.48/29.94    (41)   ~ (e2 = e1)
% 185.48/29.94    (42)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.94          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.94            e2)
% 185.48/29.94    (43)  op(e0, e2) = all_52_7
% 185.48/29.94    (44)  all_56_7 = e3
% 185.48/29.94    (45)  op(e2, e2) = e0
% 185.48/29.94    (46)   ~ (all_4_2 = e1)
% 185.48/29.94    (47)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.94          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.94    (48)  op(e1, e1) = e1
% 185.48/29.94  
% 185.48/29.94  Begin of proof
% 185.48/29.94  | 
% 185.48/29.94  | BETA: splitting (32) gives:
% 185.48/29.94  | 
% 185.48/29.94  | Case 1:
% 185.48/29.94  | | 
% 185.48/29.94  | |   (49)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.48/29.94  | |           e3)
% 185.48/29.94  | | 
% 185.48/29.94  | | BETA: splitting (49) gives:
% 185.48/29.94  | | 
% 185.48/29.94  | | Case 1:
% 185.48/29.94  | | | 
% 185.48/29.94  | | |   (50)  all_56_9 = e3 & op(e3, e0) = e3
% 185.48/29.94  | | | 
% 185.48/29.94  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 185.48/29.94  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 185.48/29.94  | | |            (24), (25), (26), (28), (29), (30), (33), (34), (35), (36),
% 185.48/29.94  | | |            (37), (38), (39), (40), (41), (42), (43), (44), (45), (46),
% 185.48/29.94  | | |            (47), (48), (50) are inconsistent by sub-proof #570.
% 185.48/29.94  | | | 
% 185.48/29.94  | | Case 2:
% 185.48/29.94  | | | 
% 185.48/29.94  | | |   (51)  all_56_10 = e3 & op(e2, e0) = e3
% 185.48/29.94  | | | 
% 185.48/29.94  | | | ALPHA: (51) implies:
% 185.48/29.94  | | |   (52)  all_56_10 = e3
% 185.48/29.94  | | | 
% 185.48/29.94  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (12), (13), (14),
% 185.48/29.94  | | |            (15), (16), (17), (19), (21), (22), (23), (25), (26), (29),
% 185.48/29.94  | | |            (30), (31), (33), (34), (35), (37), (38), (40), (41), (42),
% 185.48/29.94  | | |            (44), (45), (46), (47), (48), (52) are inconsistent by
% 185.48/29.94  | | |            sub-proof #569.
% 185.48/29.94  | | | 
% 185.48/29.94  | | End of split
% 185.48/29.94  | | 
% 185.48/29.94  | Case 2:
% 185.48/29.94  | | 
% 185.48/29.94  | |   (53)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.48/29.94  | |           e3)
% 185.48/29.94  | | 
% 185.48/29.94  | | REF_CLOSE: (8), (9), (22), (27), (30), (53) are inconsistent by sub-proof
% 185.48/29.94  | |            #1481.
% 185.48/29.94  | | 
% 185.48/29.94  | End of split
% 185.48/29.94  | 
% 185.48/29.94  End of proof
% 185.48/29.94  
% 185.48/29.94  Sub-proof #569 shows that the following formulas are inconsistent:
% 185.48/29.94  ----------------------------------------------------------------
% 185.48/29.94    (1)  op(e0, e0) = all_6_2
% 185.48/29.94    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.48/29.94         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.48/29.94    (3)  all_56_10 = e3
% 185.48/29.94    (4)   ~ (all_4_2 = e0)
% 185.48/29.94    (5)   ~ (all_6_2 = e1)
% 185.48/29.94    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.94         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.94    (7)   ~ (e1 = e0)
% 185.48/29.94    (8)   ~ (all_52_9 = e0)
% 185.48/29.94    (9)   ~ (e3 = e0)
% 185.48/29.94    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.94          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.94    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.94          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.94    (12)  op(e2, e1) = all_52_9
% 185.48/29.94    (13)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.48/29.94          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.48/29.94    (14)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.94          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.48/29.94    (15)   ~ (all_52_6 = e0)
% 185.48/29.94    (16)   ~ (e2 = e0)
% 185.48/29.94    (17)   ~ (e3 = e1)
% 185.48/29.94    (18)   ~ (all_6_2 = e2)
% 185.48/29.94    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.94            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.94    (20)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.94          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.94    (21)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.94          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.94    (22)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.94          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.94    (23)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.94          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.94            e1)
% 185.48/29.94    (24)   ~ (e3 = e2)
% 185.48/29.94    (25)  all_56_10 = e1
% 185.48/29.94    (26)  op(e3, e3) = all_4_2
% 185.48/29.94    (27)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.94          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.94    (28)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.94          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.94    (29)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.48/29.94          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.48/29.94    (30)  op(e1, e2) = all_52_6
% 185.48/29.94    (31)  op(e3, e3) = e3
% 185.48/29.94    (32)   ~ (e2 = e1)
% 185.48/29.94    (33)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.94          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.94            e2)
% 185.48/29.94    (34)  all_56_7 = e3
% 185.48/29.94    (35)  op(e2, e2) = e0
% 185.48/29.94    (36)   ~ (all_4_2 = e1)
% 185.48/29.94    (37)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.94          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.94    (38)  op(e1, e1) = e1
% 185.48/29.94  
% 185.48/29.94  Begin of proof
% 185.48/29.94  | 
% 185.48/29.94  | COMBINE_EQS: (3), (25) imply:
% 185.48/29.94  |   (39)  e3 = e1
% 185.48/29.94  | 
% 185.48/29.94  | COMBINE_EQS: (34), (39) imply:
% 185.48/29.94  |   (40)  all_56_7 = e1
% 185.48/29.94  | 
% 185.48/29.94  | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 185.48/29.94  |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 185.48/29.94  |            (26), (27), (28), (29), (30), (31), (32), (33), (35), (36), (37),
% 185.48/29.94  |            (38), (40) are inconsistent by sub-proof #575.
% 185.48/29.94  | 
% 185.48/29.94  End of proof
% 185.48/29.94  
% 185.48/29.94  Sub-proof #570 shows that the following formulas are inconsistent:
% 185.48/29.94  ----------------------------------------------------------------
% 185.48/29.94    (1)  op(e0, e0) = all_6_2
% 185.48/29.94    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.48/29.94         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.48/29.94    (3)   ~ (all_4_2 = e0)
% 185.48/29.94    (4)   ~ (all_6_2 = e1)
% 185.48/29.94    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.94         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.94    (6)   ~ (e1 = e0)
% 185.48/29.94    (7)   ~ (all_52_9 = e0)
% 185.48/29.94    (8)   ~ (e3 = e0)
% 185.48/29.94    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.94         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.94    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.94          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.94    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.94          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.94    (12)  op(e2, e1) = all_52_9
% 185.48/29.94    (13)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.48/29.94          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.48/29.94    (14)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.94          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.48/29.94    (15)   ~ (all_52_6 = e0)
% 185.48/29.94    (16)   ~ (e2 = e0)
% 185.48/29.94    (17)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.94          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.94    (18)   ~ (e3 = e1)
% 185.48/29.94    (19)   ~ (all_52_4 = all_52_7)
% 185.48/29.94    (20)   ~ (all_6_2 = e2)
% 185.48/29.94    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.94            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.94    (22)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.94          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.94    (23)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.94          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.94    (24)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.94          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.94    (25)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.94          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.94    (26)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.94          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.94    (27)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.94          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.94            e1)
% 185.48/29.94    (28)   ~ (e3 = e2)
% 185.48/29.94    (29)  op(e3, e3) = all_4_2
% 185.48/29.94    (30)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.94          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.94    (31)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.94          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.94    (32)  op(e3, e2) = all_52_4
% 185.48/29.94    (33)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.48/29.94          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.48/29.94    (34)  op(e1, e2) = all_52_6
% 185.48/29.94    (35)  all_56_9 = e3 & op(e3, e0) = e3
% 185.48/29.94    (36)   ~ (all_52_4 = e0)
% 185.48/29.94    (37)  op(e3, e3) = e3
% 185.48/29.94    (38)   ~ (e2 = e1)
% 185.48/29.94    (39)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.94          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.94            e2)
% 185.48/29.94    (40)  op(e0, e2) = all_52_7
% 185.48/29.94    (41)  all_56_7 = e3
% 185.48/29.94    (42)  op(e2, e2) = e0
% 185.48/29.94    (43)   ~ (all_4_2 = e1)
% 185.48/29.94    (44)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.94          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.94    (45)  op(e1, e1) = e1
% 185.48/29.94  
% 185.48/29.94  Begin of proof
% 185.48/29.94  | 
% 185.48/29.94  | ALPHA: (35) implies:
% 185.48/29.94  |   (46)  all_56_9 = e3
% 185.48/29.94  | 
% 185.48/29.94  | BETA: splitting (23) gives:
% 185.48/29.94  | 
% 185.48/29.94  | Case 1:
% 185.48/29.94  | | 
% 185.48/29.94  | |   (47)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) =
% 185.48/29.94  | |           e1)
% 185.48/29.94  | | 
% 185.48/29.94  | | BETA: splitting (47) gives:
% 185.48/29.94  | | 
% 185.48/29.94  | | Case 1:
% 185.48/29.94  | | | 
% 185.48/29.94  | | |   (48)  all_56_0 = e1 & op(e3, e3) = e1
% 185.48/29.94  | | | 
% 185.48/29.94  | | | ALPHA: (48) implies:
% 185.48/29.94  | | |   (49)  op(e3, e3) = e1
% 185.48/29.94  | | | 
% 185.48/29.94  | | | REF_CLOSE: (21), (29), (43), (49) are inconsistent by sub-proof #1525.
% 185.48/29.94  | | | 
% 185.48/29.94  | | Case 2:
% 185.48/29.94  | | | 
% 185.48/29.94  | | |   (50)  all_56_1 = e1 & op(e3, e2) = e1
% 185.48/29.94  | | | 
% 185.48/29.94  | | | ALPHA: (50) implies:
% 185.48/29.94  | | |   (51)  all_56_1 = e1
% 185.48/29.94  | | | 
% 185.48/29.94  | | | BETA: splitting (17) gives:
% 185.48/29.94  | | | 
% 185.48/29.94  | | | Case 1:
% 185.48/29.94  | | | | 
% 185.48/29.94  | | | |   (52)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2)
% 185.48/29.94  | | | |           = e2)
% 185.48/29.94  | | | | 
% 185.48/29.94  | | | | REF_CLOSE: (16), (21), (38), (42), (51), (52) are inconsistent by
% 185.48/29.94  | | | |            sub-proof #1073.
% 185.48/29.94  | | | | 
% 185.48/29.94  | | | Case 2:
% 185.48/29.94  | | | | 
% 185.48/29.94  | | | |   (53)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2)
% 185.48/29.94  | | | |           = e2)
% 185.48/29.94  | | | | 
% 185.48/29.94  | | | | BETA: splitting (53) gives:
% 185.48/29.94  | | | | 
% 185.48/29.94  | | | | Case 1:
% 185.48/29.94  | | | | | 
% 185.48/29.94  | | | | |   (54)  all_56_7 = e2 & op(e1, e2) = e2
% 185.48/29.94  | | | | | 
% 185.48/29.94  | | | | | REF_CLOSE: (28), (41), (54) are inconsistent by sub-proof #1072.
% 185.48/29.94  | | | | | 
% 185.48/29.94  | | | | Case 2:
% 185.48/29.94  | | | | | 
% 185.48/29.94  | | | | |   (55)  all_56_13 = e2 & op(e0, e2) = e2
% 185.48/29.94  | | | | | 
% 185.48/29.94  | | | | | ALPHA: (55) implies:
% 185.48/29.94  | | | | |   (56)  op(e0, e2) = e2
% 185.48/29.94  | | | | | 
% 185.48/29.94  | | | | | BETA: splitting (9) gives:
% 185.48/29.94  | | | | | 
% 185.48/29.94  | | | | | Case 1:
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | |   (57)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3,
% 185.48/29.94  | | | | | |             e2) = e0)
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | | REF_CLOSE: (3), (21), (29), (32), (36), (57) are inconsistent by
% 185.48/29.94  | | | | | |            sub-proof #1060.
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | Case 2:
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | |   (58)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3,
% 185.48/29.94  | | | | | |             e0) = e0)
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | | BETA: splitting (58) gives:
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | | Case 1:
% 185.48/29.94  | | | | | | | 
% 185.48/29.94  | | | | | | |   (59)  all_56_4 = e0 & op(e3, e1) = e0
% 185.48/29.94  | | | | | | | 
% 185.48/29.94  | | | | | | | ALPHA: (59) implies:
% 185.48/29.94  | | | | | | |   (60)  all_56_4 = e0
% 185.48/29.94  | | | | | | | 
% 185.48/29.94  | | | | | | | BETA: splitting (26) gives:
% 185.48/29.94  | | | | | | | 
% 185.48/29.94  | | | | | | | Case 1:
% 185.48/29.94  | | | | | | | | 
% 185.48/29.94  | | | | | | | |   (61)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 &
% 185.48/29.94  | | | | | | | |           op(e3, e2) = e2)
% 185.48/29.94  | | | | | | | | 
% 185.48/29.94  | | | | | | | | REF_CLOSE: (19), (21), (28), (32), (37), (40), (56), (61) are
% 185.48/29.94  | | | | | | | |            inconsistent by sub-proof #743.
% 185.48/29.94  | | | | | | | | 
% 185.48/29.94  | | | | | | | Case 2:
% 185.48/29.94  | | | | | | | | 
% 185.48/29.94  | | | | | | | |   (62)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 &
% 185.48/29.94  | | | | | | | |           op(e3, e0) = e2)
% 185.48/29.94  | | | | | | | | 
% 185.48/29.94  | | | | | | | | BETA: splitting (62) gives:
% 185.48/29.94  | | | | | | | | 
% 185.48/29.94  | | | | | | | | Case 1:
% 185.48/29.94  | | | | | | | | | 
% 185.48/29.94  | | | | | | | | |   (63)  all_56_4 = e2 & op(e3, e1) = e2
% 185.48/29.94  | | | | | | | | | 
% 185.48/29.94  | | | | | | | | | ALPHA: (63) implies:
% 185.48/29.94  | | | | | | | | |   (64)  all_56_4 = e2
% 185.48/29.94  | | | | | | | | | 
% 185.48/29.94  | | | | | | | | | REF_CLOSE: (16), (60), (64) are inconsistent by sub-proof
% 185.48/29.94  | | | | | | | | |            #1394.
% 185.48/29.94  | | | | | | | | | 
% 185.48/29.94  | | | | | | | | Case 2:
% 185.48/29.94  | | | | | | | | | 
% 185.48/29.94  | | | | | | | | |   (65)  all_56_9 = e2 & op(e3, e0) = e2
% 185.48/29.94  | | | | | | | | | 
% 185.48/29.94  | | | | | | | | | REF_CLOSE: (28), (46), (65) are inconsistent by sub-proof
% 185.48/29.94  | | | | | | | | |            #777.
% 185.48/29.94  | | | | | | | | | 
% 185.48/29.94  | | | | | | | | End of split
% 185.48/29.94  | | | | | | | | 
% 185.48/29.94  | | | | | | | End of split
% 185.48/29.94  | | | | | | | 
% 185.48/29.94  | | | | | | Case 2:
% 185.48/29.94  | | | | | | | 
% 185.48/29.94  | | | | | | |   (66)  all_56_9 = e0 & op(e3, e0) = e0
% 185.48/29.94  | | | | | | | 
% 185.48/29.94  | | | | | | | ALPHA: (66) implies:
% 185.48/29.94  | | | | | | |   (67)  all_56_9 = e0
% 185.48/29.94  | | | | | | | 
% 185.48/29.94  | | | | | | | COMBINE_EQS: (46), (67) imply:
% 185.48/29.94  | | | | | | |   (68)  e3 = e0
% 185.48/29.94  | | | | | | | 
% 185.48/29.94  | | | | | | | REDUCE: (8), (68) imply:
% 185.48/29.94  | | | | | | |   (69)  $false
% 185.48/29.94  | | | | | | | 
% 185.48/29.94  | | | | | | | CLOSE: (69) is inconsistent.
% 185.48/29.94  | | | | | | | 
% 185.48/29.94  | | | | | | End of split
% 185.48/29.94  | | | | | | 
% 185.48/29.94  | | | | | End of split
% 185.48/29.94  | | | | | 
% 185.48/29.94  | | | | End of split
% 185.48/29.94  | | | | 
% 185.48/29.94  | | | End of split
% 185.48/29.94  | | | 
% 185.48/29.94  | | End of split
% 185.48/29.94  | | 
% 185.48/29.94  | Case 2:
% 185.48/29.94  | | 
% 185.48/29.94  | |   (70)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 185.48/29.94  | |           e1)
% 185.48/29.94  | | 
% 185.48/29.94  | | BETA: splitting (70) gives:
% 185.48/29.94  | | 
% 185.48/29.94  | | Case 1:
% 185.48/29.94  | | | 
% 185.48/29.94  | | |   (71)  all_56_4 = e1 & op(e3, e1) = e1
% 185.48/29.94  | | | 
% 185.48/29.94  | | | ALPHA: (71) implies:
% 185.48/29.94  | | |   (72)  all_56_4 = e1
% 185.48/29.94  | | | 
% 185.48/29.94  | | | REF_CLOSE: (5), (6), (7), (8), (12), (16), (18), (21), (22), (28), (30),
% 185.48/29.94  | | |            (38), (45), (72) are inconsistent by sub-proof #1467.
% 185.48/29.94  | | | 
% 185.48/29.94  | | Case 2:
% 185.48/29.94  | | | 
% 185.48/29.94  | | |   (73)  all_56_9 = e1 & op(e3, e0) = e1
% 185.48/29.94  | | | 
% 185.48/29.94  | | | ALPHA: (73) implies:
% 185.48/29.94  | | |   (74)  all_56_9 = e1
% 185.48/29.94  | | | 
% 185.48/29.94  | | | COMBINE_EQS: (46), (74) imply:
% 185.48/29.94  | | |   (75)  e3 = e1
% 185.48/29.94  | | | 
% 185.48/29.94  | | | COMBINE_EQS: (41), (75) imply:
% 185.48/29.94  | | |   (76)  all_56_7 = e1
% 185.48/29.94  | | | 
% 185.48/29.94  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 185.48/29.94  | | |            (14), (15), (16), (18), (20), (21), (22), (24), (25), (27),
% 185.48/29.94  | | |            (28), (29), (30), (31), (33), (34), (37), (38), (39), (42),
% 185.48/29.94  | | |            (43), (44), (45), (76) are inconsistent by sub-proof #575.
% 185.48/29.94  | | | 
% 185.48/29.94  | | End of split
% 185.48/29.94  | | 
% 185.48/29.94  | End of split
% 185.48/29.94  | 
% 185.48/29.94  End of proof
% 185.48/29.94  
% 185.48/29.94  Sub-proof #571 shows that the following formulas are inconsistent:
% 185.48/29.94  ----------------------------------------------------------------
% 185.48/29.94    (1)  all_56_9 = e2
% 185.48/29.94    (2)  all_56_6 = e0
% 185.48/29.94    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.94         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.94    (4)   ~ (e1 = e0)
% 185.48/29.94    (5)   ~ (all_52_9 = e0)
% 185.48/29.94    (6)   ~ (e3 = e0)
% 185.48/29.94    (7)  op(e2, e1) = all_52_9
% 185.48/29.94    (8)   ~ (e2 = e0)
% 185.48/29.94    (9)   ~ (e3 = e1)
% 185.48/29.94    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.94            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.94    (11)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.94          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.94    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.94          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.94    (13)  all_56_6 = e2 & op(e1, e3) = e2
% 185.48/29.94    (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.94          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.94    (15)   ~ (e3 = e2)
% 185.48/29.94    (16)  op(e3, e3) = all_4_2
% 185.48/29.94    (17)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.94          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.94    (18)  all_56_4 = e0
% 185.48/29.94    (19)  op(e3, e3) = e3
% 185.48/29.94    (20)   ~ (e2 = e1)
% 185.48/29.94    (21)   ~ (all_4_2 = e1)
% 185.48/29.94    (22)  op(e1, e1) = e1
% 185.48/29.94  
% 185.48/29.94  Begin of proof
% 185.48/29.94  | 
% 185.48/29.94  | ALPHA: (13) implies:
% 185.48/29.94  |   (23)  all_56_6 = e2
% 185.48/29.94  | 
% 185.48/29.94  | COMBINE_EQS: (2), (23) imply:
% 185.48/29.94  |   (24)  e2 = e0
% 185.48/29.94  | 
% 185.48/29.94  | COMBINE_EQS: (1), (24) imply:
% 185.48/29.94  |   (25)  all_56_9 = e0
% 185.48/29.94  | 
% 185.48/29.94  | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (14), (15),
% 185.48/29.94  |            (16), (17), (18), (19), (20), (21), (22), (25) are inconsistent by
% 185.48/29.94  |            sub-proof #572.
% 185.48/29.94  | 
% 185.48/29.94  End of proof
% 185.48/29.94  
% 185.48/29.94  Sub-proof #572 shows that the following formulas are inconsistent:
% 185.48/29.94  ----------------------------------------------------------------
% 185.48/29.94    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.94         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.94    (2)   ~ (e1 = e0)
% 185.48/29.94    (3)   ~ (all_52_9 = e0)
% 185.48/29.94    (4)   ~ (e3 = e0)
% 185.48/29.94    (5)  op(e2, e1) = all_52_9
% 185.48/29.94    (6)   ~ (e2 = e0)
% 185.48/29.94    (7)   ~ (e3 = e1)
% 185.48/29.94    (8)  all_56_9 = e0
% 185.48/29.95    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.95           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.95    (10)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.95          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.95    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.95          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.95    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.95          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.95    (13)   ~ (e3 = e2)
% 185.48/29.95    (14)  op(e3, e3) = all_4_2
% 185.48/29.95    (15)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.95          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.95    (16)  all_56_4 = e0
% 185.48/29.95    (17)  op(e3, e3) = e3
% 185.48/29.95    (18)   ~ (e2 = e1)
% 185.48/29.95    (19)   ~ (all_4_2 = e1)
% 185.48/29.95    (20)  op(e1, e1) = e1
% 185.48/29.95  
% 185.48/29.95  Begin of proof
% 185.48/29.95  | 
% 185.48/29.95  | BETA: splitting (11) gives:
% 185.48/29.95  | 
% 185.48/29.95  | Case 1:
% 185.48/29.95  | | 
% 185.48/29.95  | |   (21)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) =
% 185.48/29.95  | |           e1)
% 185.48/29.95  | | 
% 185.48/29.95  | | BETA: splitting (21) gives:
% 185.48/29.95  | | 
% 185.48/29.95  | | Case 1:
% 185.48/29.95  | | | 
% 185.48/29.95  | | |   (22)  all_56_0 = e1 & op(e3, e3) = e1
% 185.48/29.95  | | | 
% 185.48/29.95  | | | ALPHA: (22) implies:
% 185.48/29.95  | | |   (23)  op(e3, e3) = e1
% 185.48/29.95  | | | 
% 185.48/29.95  | | | REF_CLOSE: (9), (14), (19), (23) are inconsistent by sub-proof #1525.
% 185.48/29.95  | | | 
% 185.48/29.95  | | Case 2:
% 185.48/29.95  | | | 
% 185.48/29.95  | | |   (24)  all_56_1 = e1 & op(e3, e2) = e1
% 185.48/29.95  | | | 
% 185.48/29.95  | | | ALPHA: (24) implies:
% 185.48/29.95  | | |   (25)  all_56_1 = e1
% 185.48/29.95  | | | 
% 185.48/29.95  | | | REF_CLOSE: (6), (8), (9), (12), (13), (16), (17), (18), (25) are
% 185.48/29.95  | | |            inconsistent by sub-proof #1392.
% 185.48/29.95  | | | 
% 185.48/29.95  | | End of split
% 185.48/29.95  | | 
% 185.48/29.95  | Case 2:
% 185.48/29.95  | | 
% 185.48/29.95  | |   (26)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 185.48/29.95  | |           e1)
% 185.48/29.95  | | 
% 185.48/29.95  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (13), (15),
% 185.48/29.95  | |            (18), (20), (26) are inconsistent by sub-proof #573.
% 185.48/29.95  | | 
% 185.48/29.95  | End of split
% 185.48/29.95  | 
% 185.48/29.95  End of proof
% 185.48/29.95  
% 185.48/29.95  Sub-proof #573 shows that the following formulas are inconsistent:
% 185.48/29.95  ----------------------------------------------------------------
% 185.48/29.95    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.95         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.95    (2)   ~ (e1 = e0)
% 185.48/29.95    (3)   ~ (all_52_9 = e0)
% 185.48/29.95    (4)   ~ (e3 = e0)
% 185.48/29.95    (5)  op(e2, e1) = all_52_9
% 185.48/29.95    (6)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.95    (7)   ~ (e2 = e0)
% 185.48/29.95    (8)   ~ (e3 = e1)
% 185.48/29.95    (9)  all_56_9 = e0
% 185.48/29.95    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.95            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.95    (11)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.95          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.95    (12)   ~ (e3 = e2)
% 185.48/29.95    (13)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.95          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.95    (14)   ~ (e2 = e1)
% 185.48/29.95    (15)  op(e1, e1) = e1
% 185.48/29.95  
% 185.48/29.95  Begin of proof
% 185.48/29.95  | 
% 185.48/29.95  | BETA: splitting (6) gives:
% 185.48/29.95  | 
% 185.48/29.95  | Case 1:
% 185.48/29.95  | | 
% 185.48/29.95  | |   (16)  all_56_4 = e1 & op(e3, e1) = e1
% 185.48/29.95  | | 
% 185.48/29.95  | | ALPHA: (16) implies:
% 185.48/29.95  | |   (17)  all_56_4 = e1
% 185.48/29.95  | | 
% 185.48/29.95  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (10), (11), (12), (13), (14),
% 185.48/29.95  | |            (15), (17) are inconsistent by sub-proof #1467.
% 185.48/29.95  | | 
% 185.48/29.95  | Case 2:
% 185.48/29.95  | | 
% 185.48/29.95  | |   (18)  all_56_9 = e1 & op(e3, e0) = e1
% 185.48/29.95  | | 
% 185.48/29.95  | | ALPHA: (18) implies:
% 185.48/29.95  | |   (19)  all_56_9 = e1
% 185.48/29.95  | | 
% 185.48/29.95  | | REF_CLOSE: (2), (9), (19) are inconsistent by sub-proof #1484.
% 185.48/29.95  | | 
% 185.48/29.95  | End of split
% 185.48/29.95  | 
% 185.48/29.95  End of proof
% 185.48/29.95  
% 185.48/29.95  Sub-proof #574 shows that the following formulas are inconsistent:
% 185.48/29.95  ----------------------------------------------------------------
% 185.48/29.95    (1)  op(e0, e0) = all_6_2
% 185.48/29.95    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.48/29.95         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.48/29.95    (3)   ~ (all_4_2 = e0)
% 185.48/29.95    (4)   ~ (all_6_2 = e1)
% 185.48/29.95    (5)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.95         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.95    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.95         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.95    (7)   ~ (e1 = e0)
% 185.48/29.95    (8)  all_56_13 = e3
% 185.48/29.95    (9)   ~ (all_52_9 = e0)
% 185.48/29.95    (10)   ~ (e3 = e0)
% 185.48/29.95    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.95          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.95    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.95          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.95    (13)  op(e2, e1) = all_52_9
% 185.48/29.95    (14)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.48/29.95          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.48/29.95    (15)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.95          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.48/29.95    (16)   ~ (all_52_6 = e0)
% 185.48/29.95    (17)   ~ (e2 = e0)
% 185.48/29.95    (18)   ~ (e3 = e1)
% 185.48/29.95    (19)   ~ (all_6_2 = e2)
% 185.48/29.95    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.95            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.95    (21)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.95          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.95    (22)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.95          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.95    (23)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.95          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.95    (24)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.95          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.95            e1)
% 185.48/29.95    (25)   ~ (e3 = e2)
% 185.48/29.95    (26)  op(e3, e3) = all_4_2
% 185.48/29.95    (27)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.95          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.95    (28)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.95          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.95    (29)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.48/29.95          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.48/29.95    (30)  op(e1, e2) = all_52_6
% 185.48/29.95    (31)  op(e3, e3) = e3
% 185.48/29.95    (32)   ~ (e2 = e1)
% 185.48/29.95    (33)  all_56_1 = e2
% 185.48/29.95    (34)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.95          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.95            e2)
% 185.48/29.95    (35)  op(e2, e2) = e0
% 185.48/29.95    (36)   ~ (all_4_2 = e1)
% 185.48/29.95    (37)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.95          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.95    (38)  op(e1, e1) = e1
% 185.48/29.95  
% 185.48/29.95  Begin of proof
% 185.48/29.95  | 
% 185.48/29.95  | BETA: splitting (5) gives:
% 185.48/29.95  | 
% 185.48/29.95  | Case 1:
% 185.48/29.95  | | 
% 185.48/29.95  | |   (39)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 185.48/29.95  | |           e1)
% 185.48/29.95  | | 
% 185.48/29.95  | | BETA: splitting (39) gives:
% 185.48/29.95  | | 
% 185.48/29.95  | | Case 1:
% 185.48/29.95  | | | 
% 185.48/29.95  | | |   (40)  all_56_1 = e1 & op(e3, e2) = e1
% 185.48/29.95  | | | 
% 185.48/29.95  | | | ALPHA: (40) implies:
% 185.48/29.95  | | |   (41)  all_56_1 = e1
% 185.48/29.95  | | | 
% 185.48/29.95  | | | REF_CLOSE: (32), (33), (41) are inconsistent by sub-proof #1396.
% 185.48/29.95  | | | 
% 185.48/29.95  | | Case 2:
% 185.48/29.95  | | | 
% 185.48/29.95  | | |   (42)  all_56_3 = e1 & op(e2, e2) = e1
% 185.48/29.95  | | | 
% 185.48/29.95  | | | ALPHA: (42) implies:
% 185.48/29.95  | | |   (43)  op(e2, e2) = e1
% 185.48/29.95  | | | 
% 185.48/29.95  | | | REF_CLOSE: (7), (20), (35), (43) are inconsistent by sub-proof #1310.
% 185.48/29.95  | | | 
% 185.48/29.95  | | End of split
% 185.48/29.95  | | 
% 185.48/29.95  | Case 2:
% 185.48/29.95  | | 
% 185.48/29.95  | |   (44)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 185.48/29.95  | |           e1)
% 185.48/29.95  | | 
% 185.48/29.95  | | BETA: splitting (44) gives:
% 185.48/29.95  | | 
% 185.48/29.95  | | Case 1:
% 185.48/29.95  | | | 
% 185.48/29.95  | | |   (45)  all_56_7 = e1 & op(e1, e2) = e1
% 185.48/29.95  | | | 
% 185.48/29.95  | | | ALPHA: (45) implies:
% 185.48/29.95  | | |   (46)  all_56_7 = e1
% 185.48/29.95  | | | 
% 185.48/29.95  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9), (10), (11), (12), (13),
% 185.48/29.95  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 185.48/29.95  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (34),
% 185.48/29.95  | | |            (35), (36), (37), (38), (46) are inconsistent by sub-proof
% 185.48/29.95  | | |            #575.
% 185.48/29.95  | | | 
% 185.48/29.95  | | Case 2:
% 185.48/29.95  | | | 
% 185.48/29.95  | | |   (47)  all_56_13 = e1 & op(e0, e2) = e1
% 185.48/29.95  | | | 
% 185.48/29.95  | | | ALPHA: (47) implies:
% 185.48/29.95  | | |   (48)  all_56_13 = e1
% 185.48/29.95  | | | 
% 185.48/29.95  | | | REF_CLOSE: (8), (18), (48) are inconsistent by sub-proof #1357.
% 185.48/29.95  | | | 
% 185.48/29.95  | | End of split
% 185.48/29.95  | | 
% 185.48/29.95  | End of split
% 185.48/29.95  | 
% 185.48/29.95  End of proof
% 185.48/29.95  
% 185.48/29.95  Sub-proof #575 shows that the following formulas are inconsistent:
% 185.48/29.95  ----------------------------------------------------------------
% 185.48/29.95    (1)  op(e0, e0) = all_6_2
% 185.48/29.95    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.48/29.95         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.48/29.95    (3)   ~ (all_4_2 = e0)
% 185.48/29.95    (4)   ~ (all_6_2 = e1)
% 185.48/29.95    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.95         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.95    (6)   ~ (e1 = e0)
% 185.48/29.95    (7)   ~ (all_52_9 = e0)
% 185.48/29.95    (8)   ~ (e3 = e0)
% 185.48/29.95    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.95         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.95    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.95          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.95    (11)  op(e2, e1) = all_52_9
% 185.48/29.95    (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.48/29.95          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.48/29.95    (13)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.95          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.48/29.95    (14)   ~ (all_52_6 = e0)
% 185.48/29.95    (15)   ~ (e2 = e0)
% 185.48/29.95    (16)   ~ (e3 = e1)
% 185.48/29.95    (17)   ~ (all_6_2 = e2)
% 185.48/29.95    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.95            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.95    (19)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.95          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.95    (20)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.95          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.95    (21)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.95          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.95    (22)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.95          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.95            e1)
% 185.48/29.95    (23)   ~ (e3 = e2)
% 185.48/29.95    (24)  op(e3, e3) = all_4_2
% 185.48/29.95    (25)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.95          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.95    (26)  all_56_7 = e1
% 185.48/29.95    (27)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.95          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.95    (28)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.48/29.95          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.48/29.95    (29)  op(e1, e2) = all_52_6
% 185.48/29.95    (30)  op(e3, e3) = e3
% 185.48/29.95    (31)   ~ (e2 = e1)
% 185.48/29.95    (32)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.95          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.95            e2)
% 185.48/29.95    (33)  op(e2, e2) = e0
% 185.48/29.95    (34)   ~ (all_4_2 = e1)
% 185.48/29.95    (35)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.95          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.95    (36)  op(e1, e1) = e1
% 185.48/29.95  
% 185.48/29.95  Begin of proof
% 185.48/29.95  | 
% 185.48/29.95  | BETA: splitting (28) gives:
% 185.48/29.95  | 
% 185.48/29.95  | Case 1:
% 185.48/29.95  | | 
% 185.48/29.95  | |   (37)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 185.48/29.95  | |           e3)
% 185.48/29.95  | | 
% 185.48/29.95  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.48/29.95  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 185.48/29.95  | |            (24), (25), (26), (27), (29), (30), (31), (32), (33), (34), (35),
% 185.48/29.95  | |            (36), (37) are inconsistent by sub-proof #576.
% 185.48/29.95  | | 
% 185.48/29.95  | Case 2:
% 185.48/29.95  | | 
% 185.48/29.95  | |   (38)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 185.48/29.95  | |           e3)
% 185.48/29.95  | | 
% 185.48/29.95  | | BETA: splitting (38) gives:
% 185.48/29.95  | | 
% 185.48/29.95  | | Case 1:
% 185.48/29.95  | | | 
% 185.48/29.95  | | |   (39)  all_56_8 = e3 & op(e1, e1) = e3
% 185.48/29.95  | | | 
% 185.48/29.95  | | | ALPHA: (39) implies:
% 185.48/29.95  | | |   (40)  op(e1, e1) = e3
% 185.48/29.95  | | | 
% 185.48/29.95  | | | REF_CLOSE: (16), (18), (36), (40) are inconsistent by sub-proof #1541.
% 185.48/29.95  | | | 
% 185.48/29.95  | | Case 2:
% 185.48/29.95  | | | 
% 185.48/29.95  | | |   (41)  all_56_11 = e3 & op(e1, e0) = e3
% 185.48/29.95  | | | 
% 185.48/29.95  | | | ALPHA: (41) implies:
% 185.48/29.95  | | |   (42)  all_56_11 = e3
% 185.48/29.95  | | | 
% 185.48/29.95  | | | REF_CLOSE: (6), (8), (12), (14), (15), (18), (21), (23), (26), (29), (31),
% 185.48/29.95  | | |            (36), (42) are inconsistent by sub-proof #1005.
% 185.48/29.95  | | | 
% 185.48/29.95  | | End of split
% 185.48/29.95  | | 
% 185.48/29.95  | End of split
% 185.48/29.95  | 
% 185.48/29.95  End of proof
% 185.48/29.95  
% 185.48/29.95  Sub-proof #576 shows that the following formulas are inconsistent:
% 185.48/29.95  ----------------------------------------------------------------
% 185.48/29.95    (1)  op(e0, e0) = all_6_2
% 185.48/29.95    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.48/29.95         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.48/29.95    (3)   ~ (all_4_2 = e0)
% 185.48/29.95    (4)   ~ (all_6_2 = e1)
% 185.48/29.95    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.95         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.95    (6)   ~ (e1 = e0)
% 185.48/29.95    (7)   ~ (all_52_9 = e0)
% 185.48/29.95    (8)   ~ (e3 = e0)
% 185.48/29.95    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.95         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.95    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.95          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.95    (11)  op(e2, e1) = all_52_9
% 185.48/29.95    (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.48/29.95          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.48/29.95    (13)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.95          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.48/29.95    (14)   ~ (all_52_6 = e0)
% 185.48/29.95    (15)   ~ (e2 = e0)
% 185.48/29.95    (16)   ~ (e3 = e1)
% 185.48/29.95    (17)   ~ (all_6_2 = e2)
% 185.48/29.95    (18)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3)
% 185.48/29.95    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.95            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.95    (20)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.95          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.95    (21)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.95          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.95    (22)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.95          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.95    (23)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.95          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.95            e1)
% 185.48/29.95    (24)   ~ (e3 = e2)
% 185.48/29.95    (25)  op(e3, e3) = all_4_2
% 185.48/29.95    (26)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.95          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.95    (27)  all_56_7 = e1
% 185.48/29.95    (28)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.95          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.95    (29)  op(e1, e2) = all_52_6
% 185.48/29.95    (30)  op(e3, e3) = e3
% 185.48/29.95    (31)   ~ (e2 = e1)
% 185.48/29.95    (32)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.95          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.95            e2)
% 185.48/29.95    (33)  op(e2, e2) = e0
% 185.48/29.95    (34)   ~ (all_4_2 = e1)
% 185.48/29.95    (35)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.95          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.95    (36)  op(e1, e1) = e1
% 185.48/29.95  
% 185.48/29.95  Begin of proof
% 185.48/29.95  | 
% 185.48/29.95  | BETA: splitting (18) gives:
% 185.48/29.95  | 
% 185.48/29.95  | Case 1:
% 185.48/29.95  | | 
% 185.48/29.95  | |   (37)  all_56_6 = e3 & op(e1, e3) = e3
% 185.48/29.95  | | 
% 185.48/29.95  | | ALPHA: (37) implies:
% 185.48/29.95  | |   (38)  all_56_6 = e3
% 185.48/29.95  | | 
% 185.48/29.95  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.48/29.95  | |            (13), (14), (15), (16), (17), (19), (20), (21), (22), (23), (24),
% 185.48/29.95  | |            (25), (26), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 185.48/29.95  | |            (38) are inconsistent by sub-proof #593.
% 185.48/29.95  | | 
% 185.48/29.95  | Case 2:
% 185.48/29.95  | | 
% 185.48/29.95  | |   (39)  all_56_7 = e3 & op(e1, e2) = e3
% 185.48/29.95  | | 
% 185.48/29.95  | | ALPHA: (39) implies:
% 185.48/29.95  | |   (40)  all_56_7 = e3
% 185.48/29.95  | | 
% 185.48/29.95  | | REF_CLOSE: (16), (27), (40) are inconsistent by sub-proof #1172.
% 185.48/29.95  | | 
% 185.48/29.95  | End of split
% 185.48/29.95  | 
% 185.48/29.95  End of proof
% 185.48/29.95  
% 185.48/29.95  Sub-proof #577 shows that the following formulas are inconsistent:
% 185.48/29.95  ----------------------------------------------------------------
% 185.48/29.95    (1)  op(e0, e0) = all_6_2
% 185.48/29.95    (2)  op(e0, e3) = e3
% 185.48/29.95    (3)   ~ (all_4_2 = e0)
% 185.48/29.95    (4)   ~ (all_6_2 = e1)
% 185.48/29.95    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.95         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.95    (6)   ~ (e1 = e0)
% 185.48/29.95    (7)   ~ (all_52_9 = e0)
% 185.48/29.95    (8)   ~ (e3 = e0)
% 185.48/29.95    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.95         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.95    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.95          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.95    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.95          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.95    (12)  op(e2, e1) = all_52_9
% 185.48/29.95    (13)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.95          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.48/29.95    (14)   ~ (e2 = e0)
% 185.48/29.95    (15)   ~ (e3 = e1)
% 185.48/29.95    (16)   ~ (all_6_2 = e2)
% 185.48/29.95    (17)  op(e0, e3) = all_52_3
% 185.48/29.95    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.95            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.95    (19)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.95          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.95    (20)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.95          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.95    (21)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.95          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.95    (22)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.95          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.95    (23)  all_56_12 = e3
% 185.48/29.95    (24)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.95          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.95            e1)
% 185.48/29.95    (25)   ~ (e3 = e2)
% 185.48/29.95    (26)  op(e3, e3) = all_4_2
% 185.48/29.95    (27)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.95          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.95    (28)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.95          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.95    (29)  op(e3, e2) = all_52_4
% 185.48/29.95    (30)   ~ (all_52_4 = e0)
% 185.48/29.95    (31)  op(e3, e3) = e3
% 185.48/29.95    (32)   ~ (e2 = e1)
% 185.48/29.95    (33)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.95          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.95            e2)
% 185.48/29.95    (34)  op(e2, e2) = e0
% 185.48/29.95    (35)   ~ (all_4_2 = e1)
% 185.48/29.95    (36)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.95          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.95    (37)  op(e1, e1) = e1
% 185.48/29.95  
% 185.48/29.95  Begin of proof
% 185.48/29.95  | 
% 185.48/29.95  | BETA: splitting (36) gives:
% 185.48/29.95  | 
% 185.48/29.95  | Case 1:
% 185.48/29.95  | | 
% 185.48/29.95  | |   (38)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 185.48/29.95  | |           e0)
% 185.48/29.95  | | 
% 185.48/29.95  | | BETA: splitting (38) gives:
% 185.48/29.95  | | 
% 185.48/29.95  | | Case 1:
% 185.48/29.95  | | | 
% 185.48/29.95  | | |   (39)  all_56_0 = e0 & op(e3, e3) = e0
% 185.48/29.95  | | | 
% 185.48/29.95  | | | ALPHA: (39) implies:
% 185.48/29.95  | | |   (40)  op(e3, e3) = e0
% 185.48/29.95  | | | 
% 185.48/29.95  | | | REF_CLOSE: (3), (18), (26), (40) are inconsistent by sub-proof #1624.
% 185.48/29.95  | | | 
% 185.48/29.95  | | Case 2:
% 185.48/29.95  | | | 
% 185.48/29.95  | | |   (41)  all_56_2 = e0 & op(e2, e3) = e0
% 185.48/29.95  | | | 
% 185.48/29.95  | | | ALPHA: (41) implies:
% 185.48/29.95  | | |   (42)  all_56_2 = e0
% 185.48/29.95  | | | 
% 185.48/29.95  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.48/29.95  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 185.48/29.95  | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 185.48/29.95  | | |            (33), (34), (35), (36), (37), (42) are inconsistent by
% 185.48/29.95  | | |            sub-proof #581.
% 185.48/29.95  | | | 
% 185.48/29.95  | | End of split
% 185.48/29.95  | | 
% 185.48/29.95  | Case 2:
% 185.48/29.95  | | 
% 185.48/29.95  | |   (43)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 185.48/29.95  | |           e0)
% 185.48/29.95  | | 
% 185.48/29.95  | | BETA: splitting (43) gives:
% 185.48/29.95  | | 
% 185.48/29.95  | | Case 1:
% 185.48/29.95  | | | 
% 185.48/29.95  | | |   (44)  all_56_6 = e0 & op(e1, e3) = e0
% 185.48/29.95  | | | 
% 185.48/29.95  | | | ALPHA: (44) implies:
% 185.48/29.95  | | |   (45)  all_56_6 = e0
% 185.48/29.95  | | | 
% 185.48/29.95  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.48/29.95  | | |            (14), (15), (16), (17), (18), (19), (20), (22), (23), (24),
% 185.48/29.95  | | |            (25), (26), (27), (29), (30), (31), (32), (33), (35), (37),
% 185.48/29.95  | | |            (45) are inconsistent by sub-proof #578.
% 185.48/29.95  | | | 
% 185.48/29.95  | | Case 2:
% 185.48/29.95  | | | 
% 185.48/29.95  | | |   (46)  all_56_12 = e0 & op(e0, e3) = e0
% 185.48/29.95  | | | 
% 185.48/29.95  | | | REF_CLOSE: (8), (23), (46) are inconsistent by sub-proof #713.
% 185.48/29.95  | | | 
% 185.48/29.95  | | End of split
% 185.48/29.95  | | 
% 185.48/29.95  | End of split
% 185.48/29.95  | 
% 185.48/29.95  End of proof
% 185.48/29.95  
% 185.48/29.95  Sub-proof #578 shows that the following formulas are inconsistent:
% 185.48/29.95  ----------------------------------------------------------------
% 185.48/29.95    (1)  op(e0, e0) = all_6_2
% 185.48/29.95    (2)  op(e0, e3) = e3
% 185.48/29.95    (3)   ~ (all_4_2 = e0)
% 185.48/29.95    (4)  all_56_6 = e0
% 185.48/29.95    (5)   ~ (all_6_2 = e1)
% 185.48/29.95    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.95         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.95    (7)   ~ (e1 = e0)
% 185.48/29.95    (8)   ~ (all_52_9 = e0)
% 185.48/29.95    (9)   ~ (e3 = e0)
% 185.48/29.95    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.95          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.95    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.95          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.95    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.95          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.95    (13)  op(e2, e1) = all_52_9
% 185.48/29.95    (14)   ~ (e2 = e0)
% 185.48/29.95    (15)   ~ (e3 = e1)
% 185.48/29.95    (16)   ~ (all_6_2 = e2)
% 185.48/29.95    (17)  op(e0, e3) = all_52_3
% 185.48/29.95    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.95            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.95    (19)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.95          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.95    (20)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.95          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.95    (21)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.95          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.95    (22)  all_56_12 = e3
% 185.48/29.95    (23)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.95          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.95            e1)
% 185.48/29.95    (24)   ~ (e3 = e2)
% 185.48/29.95    (25)  op(e3, e3) = all_4_2
% 185.48/29.95    (26)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.95          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.95    (27)  op(e3, e2) = all_52_4
% 185.48/29.95    (28)   ~ (all_52_4 = e0)
% 185.48/29.95    (29)  op(e3, e3) = e3
% 185.48/29.95    (30)   ~ (e2 = e1)
% 185.48/29.95    (31)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.95          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.95            e2)
% 185.48/29.95    (32)   ~ (all_4_2 = e1)
% 185.48/29.95    (33)  op(e1, e1) = e1
% 185.48/29.95  
% 185.48/29.95  Begin of proof
% 185.48/29.95  | 
% 185.48/29.95  | BETA: splitting (23) gives:
% 185.48/29.95  | 
% 185.48/29.95  | Case 1:
% 185.48/29.95  | | 
% 185.48/29.95  | |   (34)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 185.48/29.95  | |           e1)
% 185.48/29.95  | | 
% 185.48/29.95  | | BETA: splitting (34) gives:
% 185.48/29.95  | | 
% 185.48/29.95  | | Case 1:
% 185.48/29.95  | | | 
% 185.48/29.95  | | |   (35)  all_56_12 = e1 & op(e0, e3) = e1
% 185.48/29.95  | | | 
% 185.48/29.95  | | | ALPHA: (35) implies:
% 185.48/29.95  | | |   (36)  op(e0, e3) = e1
% 185.48/29.95  | | | 
% 185.48/29.95  | | | REF_CLOSE: (2), (15), (17), (18), (36) are inconsistent by sub-proof
% 185.48/29.95  | | |            #1529.
% 185.48/29.95  | | | 
% 185.48/29.95  | | Case 2:
% 185.48/29.95  | | | 
% 185.48/29.95  | | |   (37)  all_56_13 = e1 & op(e0, e2) = e1
% 185.48/29.95  | | | 
% 185.48/29.95  | | | ALPHA: (37) implies:
% 185.48/29.95  | | |   (38)  all_56_13 = e1
% 185.48/29.95  | | | 
% 185.48/29.95  | | | BETA: splitting (31) gives:
% 185.48/29.95  | | | 
% 185.48/29.95  | | | Case 1:
% 185.48/29.95  | | | | 
% 185.48/29.95  | | | |   (39)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0,
% 185.48/29.95  | | | |             e2) = e2)
% 185.48/29.95  | | | | 
% 185.48/29.95  | | | | REF_CLOSE: (22), (24), (30), (38), (39) are inconsistent by sub-proof
% 185.48/29.95  | | | |            #592.
% 185.48/29.95  | | | | 
% 185.48/29.95  | | | Case 2:
% 185.48/29.95  | | | | 
% 185.48/29.95  | | | |   (40)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 185.48/29.95  | | | |             e0) = e2)
% 185.48/29.95  | | | | 
% 185.48/29.95  | | | | BETA: splitting (40) gives:
% 185.48/29.95  | | | | 
% 185.48/29.95  | | | | Case 1:
% 185.48/29.95  | | | | | 
% 185.48/29.95  | | | | |   (41)  all_56_14 = e2 & op(e0, e1) = e2
% 185.48/29.95  | | | | | 
% 185.48/29.95  | | | | | ALPHA: (41) implies:
% 185.48/29.96  | | | | |   (42)  all_56_14 = e2
% 185.48/29.96  | | | | | 
% 185.48/29.96  | | | | | BETA: splitting (19) gives:
% 185.48/29.96  | | | | | 
% 185.48/29.96  | | | | | Case 1:
% 185.48/29.96  | | | | | | 
% 185.48/29.96  | | | | | |   (43)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2,
% 185.48/29.96  | | | | | |             e1) = e0)
% 185.48/29.96  | | | | | | 
% 185.48/29.96  | | | | | | BETA: splitting (43) gives:
% 185.48/29.96  | | | | | | 
% 185.48/29.96  | | | | | | Case 1:
% 185.48/29.96  | | | | | | | 
% 185.48/29.96  | | | | | | |   (44)  all_56_4 = e0 & op(e3, e1) = e0
% 185.48/29.96  | | | | | | | 
% 185.48/29.96  | | | | | | | ALPHA: (44) implies:
% 185.48/29.96  | | | | | | |   (45)  all_56_4 = e0
% 185.48/29.96  | | | | | | | 
% 185.48/29.96  | | | | | | | BETA: splitting (12) gives:
% 185.48/29.96  | | | | | | | 
% 185.48/29.96  | | | | | | | Case 1:
% 185.48/29.96  | | | | | | | | 
% 185.48/29.96  | | | | | | | |   (46)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 &
% 185.48/29.96  | | | | | | | |           op(e2, e3) = e1)
% 185.48/29.96  | | | | | | | | 
% 185.48/29.96  | | | | | | | | BETA: splitting (46) gives:
% 185.48/29.96  | | | | | | | | 
% 185.48/29.96  | | | | | | | | Case 1:
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | |   (47)  all_56_0 = e1 & op(e3, e3) = e1
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | ALPHA: (47) implies:
% 185.48/29.96  | | | | | | | | |   (48)  op(e3, e3) = e1
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | REF_CLOSE: (18), (25), (32), (48) are inconsistent by
% 185.48/29.96  | | | | | | | | |            sub-proof #1525.
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | Case 2:
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | |   (49)  all_56_2 = e1 & op(e2, e3) = e1
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | ALPHA: (49) implies:
% 185.48/29.96  | | | | | | | | |   (50)  all_56_2 = e1
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | BETA: splitting (6) gives:
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | Case 1:
% 185.48/29.96  | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | |   (51)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 &
% 185.48/29.96  | | | | | | | | | |           op(e2, e1) = e3)
% 185.48/29.96  | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | BETA: splitting (51) gives:
% 185.48/29.96  | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | Case 1:
% 185.48/29.96  | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | |   (52)  all_56_4 = e3 & op(e3, e1) = e3
% 185.48/29.96  | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | REF_CLOSE: (3), (6), (7), (8), (9), (10), (13), (14), (15),
% 185.48/29.96  | | | | | | | | | | |            (18), (19), (20), (21), (24), (25), (26), (27),
% 185.48/29.96  | | | | | | | | | | |            (28), (29), (30), (32), (33), (52) are
% 185.48/29.96  | | | | | | | | | | |            inconsistent by sub-proof #589.
% 185.48/29.96  | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | Case 2:
% 185.48/29.96  | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | |   (53)  all_56_5 = e3 & op(e2, e1) = e3
% 185.48/29.96  | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | ALPHA: (53) implies:
% 185.48/29.96  | | | | | | | | | | |   (54)  all_56_5 = e3
% 185.48/29.96  | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | BETA: splitting (11) gives:
% 185.48/29.96  | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | Case 1:
% 185.48/29.96  | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | |   (55)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 185.48/29.96  | | | | | | | | | | | |           & op(e2, e3) = e2)
% 185.48/29.96  | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | BETA: splitting (55) gives:
% 185.48/29.96  | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | Case 1:
% 185.48/29.96  | | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | |   (56)  all_56_0 = e2 & op(e3, e3) = e2
% 185.48/29.96  | | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | | ALPHA: (56) implies:
% 185.48/29.96  | | | | | | | | | | | | |   (57)  op(e3, e3) = e2
% 185.48/29.96  | | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | | REF_CLOSE: (18), (24), (29), (57) are inconsistent by
% 185.48/29.96  | | | | | | | | | | | | |            sub-proof #1594.
% 185.48/29.96  | | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | Case 2:
% 185.48/29.96  | | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | |   (58)  all_56_2 = e2 & op(e2, e3) = e2
% 185.48/29.96  | | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | | ALPHA: (58) implies:
% 185.48/29.96  | | | | | | | | | | | | |   (59)  all_56_2 = e2
% 185.48/29.96  | | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | | REF_CLOSE: (14), (18), (24), (26), (30), (33), (42), (45),
% 185.48/29.96  | | | | | | | | | | | | |            (50), (54), (59) are inconsistent by sub-proof
% 185.48/29.96  | | | | | | | | | | | | |            #597.
% 185.48/29.96  | | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | End of split
% 185.48/29.96  | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | Case 2:
% 185.48/29.96  | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | |   (60)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 185.48/29.96  | | | | | | | | | | | |           e2 & op(e0, e3) = e2)
% 185.48/29.96  | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | BETA: splitting (60) gives:
% 185.48/29.96  | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | Case 1:
% 185.48/29.96  | | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | |   (61)  all_56_6 = e2 & op(e1, e3) = e2
% 185.48/29.96  | | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | | REF_CLOSE: (4), (14), (61) are inconsistent by sub-proof
% 185.48/29.96  | | | | | | | | | | | | |            #580.
% 185.48/29.96  | | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | Case 2:
% 185.48/29.96  | | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | |   (62)  all_56_12 = e2 & op(e0, e3) = e2
% 185.48/29.96  | | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | | ALPHA: (62) implies:
% 185.48/29.96  | | | | | | | | | | | | |   (63)  all_56_12 = e2
% 185.48/29.96  | | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | | REF_CLOSE: (22), (24), (63) are inconsistent by sub-proof
% 185.48/29.96  | | | | | | | | | | | | |            #1555.
% 185.48/29.96  | | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | | End of split
% 185.48/29.96  | | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | | End of split
% 185.48/29.96  | | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | End of split
% 185.48/29.96  | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | Case 2:
% 185.48/29.96  | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | |   (64)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3
% 185.48/29.96  | | | | | | | | | |           & op(e0, e1) = e3)
% 185.48/29.96  | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | | REF_CLOSE: (15), (18), (24), (33), (42), (64) are
% 185.48/29.96  | | | | | | | | | |            inconsistent by sub-proof #579.
% 185.48/29.96  | | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | End of split
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | End of split
% 185.48/29.96  | | | | | | | | 
% 185.48/29.96  | | | | | | | Case 2:
% 185.48/29.96  | | | | | | | | 
% 185.48/29.96  | | | | | | | |   (65)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 &
% 185.48/29.96  | | | | | | | |           op(e0, e3) = e1)
% 185.48/29.96  | | | | | | | | 
% 185.48/29.96  | | | | | | | | BETA: splitting (65) gives:
% 185.48/29.96  | | | | | | | | 
% 185.48/29.96  | | | | | | | | Case 1:
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | |   (66)  all_56_6 = e1 & op(e1, e3) = e1
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | ALPHA: (66) implies:
% 185.48/29.96  | | | | | | | | |   (67)  all_56_6 = e1
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | REF_CLOSE: (4), (7), (67) are inconsistent by sub-proof #1551.
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | Case 2:
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | |   (68)  all_56_12 = e1 & op(e0, e3) = e1
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | ALPHA: (68) implies:
% 185.48/29.96  | | | | | | | | |   (69)  op(e0, e3) = e1
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | REF_CLOSE: (2), (15), (17), (18), (69) are inconsistent by
% 185.48/29.96  | | | | | | | | |            sub-proof #1529.
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | End of split
% 185.48/29.96  | | | | | | | | 
% 185.48/29.96  | | | | | | | End of split
% 185.48/29.96  | | | | | | | 
% 185.48/29.96  | | | | | | Case 2:
% 185.48/29.96  | | | | | | | 
% 185.48/29.96  | | | | | | |   (70)  all_56_5 = e0 & op(e2, e1) = e0
% 185.48/29.96  | | | | | | | 
% 185.48/29.96  | | | | | | | REF_CLOSE: (8), (13), (18), (70) are inconsistent by sub-proof
% 185.48/29.96  | | | | | | |            #1476.
% 185.48/29.96  | | | | | | | 
% 185.48/29.96  | | | | | | End of split
% 185.48/29.96  | | | | | | 
% 185.48/29.96  | | | | | Case 2:
% 185.48/29.96  | | | | | | 
% 185.48/29.96  | | | | | |   (71)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0,
% 185.48/29.96  | | | | | |             e1) = e0)
% 185.48/29.96  | | | | | | 
% 185.48/29.96  | | | | | | REF_CLOSE: (7), (14), (18), (33), (42), (71) are inconsistent by
% 185.48/29.96  | | | | | |            sub-proof #596.
% 185.48/29.96  | | | | | | 
% 185.48/29.96  | | | | | End of split
% 185.48/29.96  | | | | | 
% 185.48/29.96  | | | | Case 2:
% 185.48/29.96  | | | | | 
% 185.48/29.96  | | | | |   (72)  all_56_15 = e2 & op(e0, e0) = e2
% 185.48/29.96  | | | | | 
% 185.48/29.96  | | | | | ALPHA: (72) implies:
% 185.48/29.96  | | | | |   (73)  op(e0, e0) = e2
% 185.48/29.96  | | | | | 
% 185.48/29.96  | | | | | REF_CLOSE: (1), (16), (18), (73) are inconsistent by sub-proof #1511.
% 185.48/29.96  | | | | | 
% 185.48/29.96  | | | | End of split
% 185.48/29.96  | | | | 
% 185.48/29.96  | | | End of split
% 185.48/29.96  | | | 
% 185.48/29.96  | | End of split
% 185.48/29.96  | | 
% 185.48/29.96  | Case 2:
% 185.48/29.96  | | 
% 185.48/29.96  | |   (74)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.96  | |           e1)
% 185.48/29.96  | | 
% 185.48/29.96  | | REF_CLOSE: (1), (5), (6), (7), (8), (9), (13), (14), (15), (18), (19), (24),
% 185.48/29.96  | |            (26), (30), (33), (74) are inconsistent by sub-proof #595.
% 185.48/29.96  | | 
% 185.48/29.96  | End of split
% 185.48/29.96  | 
% 185.48/29.96  End of proof
% 185.48/29.96  
% 185.48/29.96  Sub-proof #579 shows that the following formulas are inconsistent:
% 185.48/29.96  ----------------------------------------------------------------
% 185.48/29.96    (1)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.96    (2)   ~ (e3 = e1)
% 185.48/29.96    (3)  all_56_14 = e2
% 185.48/29.96    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.96           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.96    (5)   ~ (e3 = e2)
% 185.48/29.96    (6)  op(e1, e1) = e1
% 185.48/29.96  
% 185.48/29.96  Begin of proof
% 185.48/29.96  | 
% 185.48/29.96  | BETA: splitting (1) gives:
% 185.48/29.96  | 
% 185.48/29.96  | Case 1:
% 185.48/29.96  | | 
% 185.48/29.96  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 185.48/29.96  | | 
% 185.48/29.96  | | ALPHA: (7) implies:
% 185.48/29.96  | |   (8)  op(e1, e1) = e3
% 185.48/29.96  | | 
% 185.48/29.96  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1541.
% 185.48/29.96  | | 
% 185.48/29.96  | Case 2:
% 185.48/29.96  | | 
% 185.48/29.96  | |   (9)  all_56_14 = e3 & op(e0, e1) = e3
% 185.48/29.96  | | 
% 185.48/29.96  | | ALPHA: (9) implies:
% 185.48/29.96  | |   (10)  all_56_14 = e3
% 185.48/29.96  | | 
% 185.48/29.96  | | REF_CLOSE: (3), (5), (10) are inconsistent by sub-proof #1512.
% 185.48/29.96  | | 
% 185.48/29.96  | End of split
% 185.48/29.96  | 
% 185.48/29.96  End of proof
% 185.48/29.96  
% 185.48/29.96  Sub-proof #580 shows that the following formulas are inconsistent:
% 185.48/29.96  ----------------------------------------------------------------
% 185.48/29.96    (1)  all_56_6 = e2 & op(e1, e3) = e2
% 185.48/29.96    (2)  all_56_6 = e0
% 185.48/29.96    (3)   ~ (e2 = e0)
% 185.48/29.96  
% 185.48/29.96  Begin of proof
% 185.48/29.96  | 
% 185.48/29.96  | ALPHA: (1) implies:
% 185.48/29.96  |   (4)  all_56_6 = e2
% 185.48/29.96  | 
% 185.48/29.96  | COMBINE_EQS: (2), (4) imply:
% 185.48/29.96  |   (5)  e2 = e0
% 185.48/29.96  | 
% 185.48/29.96  | REDUCE: (3), (5) imply:
% 185.48/29.96  |   (6)  $false
% 185.48/29.96  | 
% 185.48/29.96  | CLOSE: (6) is inconsistent.
% 185.48/29.96  | 
% 185.48/29.96  End of proof
% 185.48/29.96  
% 185.48/29.96  Sub-proof #581 shows that the following formulas are inconsistent:
% 185.48/29.96  ----------------------------------------------------------------
% 185.48/29.96    (1)  op(e0, e0) = all_6_2
% 185.48/29.96    (2)  op(e0, e3) = e3
% 185.48/29.96    (3)   ~ (all_4_2 = e0)
% 185.48/29.96    (4)   ~ (all_6_2 = e1)
% 185.48/29.96    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.96         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.96    (6)   ~ (e1 = e0)
% 185.48/29.96    (7)   ~ (all_52_9 = e0)
% 185.48/29.96    (8)   ~ (e3 = e0)
% 185.48/29.96    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.96         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.96    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.96          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.96    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.96          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.96    (12)  op(e2, e1) = all_52_9
% 185.48/29.96    (13)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.96          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.48/29.96    (14)  all_56_2 = e0
% 185.48/29.96    (15)   ~ (e2 = e0)
% 185.48/29.96    (16)   ~ (e3 = e1)
% 185.48/29.96    (17)   ~ (all_6_2 = e2)
% 185.48/29.96    (18)  op(e0, e3) = all_52_3
% 185.48/29.96    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.96            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.96    (20)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.96          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.96    (21)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.96          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.96    (22)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.96          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.96    (23)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.96          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.96    (24)  all_56_12 = e3
% 185.48/29.96    (25)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.96          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.96            e1)
% 185.48/29.96    (26)   ~ (e3 = e2)
% 185.48/29.96    (27)  op(e3, e3) = all_4_2
% 185.48/29.96    (28)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.96          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.96    (29)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.96          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.96    (30)  op(e3, e2) = all_52_4
% 185.48/29.96    (31)   ~ (all_52_4 = e0)
% 185.48/29.96    (32)  op(e3, e3) = e3
% 185.48/29.96    (33)   ~ (e2 = e1)
% 185.48/29.96    (34)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.96          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.96            e2)
% 185.48/29.96    (35)  op(e2, e2) = e0
% 185.48/29.96    (36)   ~ (all_4_2 = e1)
% 185.48/29.96    (37)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.96          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.96    (38)  op(e1, e1) = e1
% 185.48/29.96  
% 185.48/29.96  Begin of proof
% 185.48/29.96  | 
% 185.48/29.96  | BETA: splitting (25) gives:
% 185.48/29.96  | 
% 185.48/29.96  | Case 1:
% 185.48/29.96  | | 
% 185.48/29.96  | |   (39)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 185.48/29.96  | |           e1)
% 185.48/29.96  | | 
% 185.48/29.96  | | BETA: splitting (39) gives:
% 185.48/29.96  | | 
% 185.48/29.96  | | Case 1:
% 185.48/29.96  | | | 
% 185.48/29.96  | | |   (40)  all_56_12 = e1 & op(e0, e3) = e1
% 185.48/29.96  | | | 
% 185.48/29.96  | | | ALPHA: (40) implies:
% 185.48/29.96  | | |   (41)  op(e0, e3) = e1
% 185.48/29.96  | | | 
% 185.48/29.96  | | | REF_CLOSE: (2), (16), (18), (19), (41) are inconsistent by sub-proof
% 185.48/29.96  | | |            #1529.
% 185.48/29.96  | | | 
% 185.48/29.96  | | Case 2:
% 185.48/29.96  | | | 
% 185.48/29.96  | | |   (42)  all_56_13 = e1 & op(e0, e2) = e1
% 185.48/29.96  | | | 
% 185.48/29.96  | | | ALPHA: (42) implies:
% 185.48/29.96  | | |   (43)  all_56_13 = e1
% 185.48/29.96  | | | 
% 185.48/29.96  | | | BETA: splitting (34) gives:
% 185.48/29.96  | | | 
% 185.48/29.96  | | | Case 1:
% 185.48/29.96  | | | | 
% 185.48/29.96  | | | |   (44)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0,
% 185.48/29.96  | | | |             e2) = e2)
% 185.48/29.96  | | | | 
% 185.48/29.96  | | | | REF_CLOSE: (24), (26), (33), (43), (44) are inconsistent by sub-proof
% 185.48/29.96  | | | |            #592.
% 185.48/29.96  | | | | 
% 185.48/29.96  | | | Case 2:
% 185.48/29.96  | | | | 
% 185.48/29.96  | | | |   (45)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 185.48/29.96  | | | |             e0) = e2)
% 185.48/29.96  | | | | 
% 185.48/29.96  | | | | BETA: splitting (45) gives:
% 185.48/29.96  | | | | 
% 185.48/29.96  | | | | Case 1:
% 185.48/29.96  | | | | | 
% 185.48/29.96  | | | | |   (46)  all_56_14 = e2 & op(e0, e1) = e2
% 185.48/29.96  | | | | | 
% 185.48/29.96  | | | | | ALPHA: (46) implies:
% 185.48/29.96  | | | | |   (47)  all_56_14 = e2
% 185.48/29.96  | | | | | 
% 185.48/29.96  | | | | | BETA: splitting (13) gives:
% 185.48/29.96  | | | | | 
% 185.48/29.96  | | | | | Case 1:
% 185.48/29.96  | | | | | | 
% 185.48/29.96  | | | | | |   (48)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2,
% 185.48/29.96  | | | | | |             e2) = e1)
% 185.48/29.96  | | | | | | 
% 185.48/29.96  | | | | | | REF_CLOSE: (6), (14), (19), (35), (48) are inconsistent by sub-proof
% 185.48/29.96  | | | | | |            #607.
% 185.48/29.96  | | | | | | 
% 185.48/29.96  | | | | | Case 2:
% 185.48/29.96  | | | | | | 
% 185.48/29.96  | | | | | |   (49)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2,
% 185.48/29.96  | | | | | |             e0) = e1)
% 185.48/29.96  | | | | | | 
% 185.48/29.96  | | | | | | BETA: splitting (49) gives:
% 185.48/29.96  | | | | | | 
% 185.48/29.96  | | | | | | Case 1:
% 185.48/29.96  | | | | | | | 
% 185.48/29.96  | | | | | | |   (50)  all_56_5 = e1 & op(e2, e1) = e1
% 185.48/29.96  | | | | | | | 
% 185.48/29.96  | | | | | | | ALPHA: (50) implies:
% 185.48/29.96  | | | | | | |   (51)  op(e2, e1) = e1
% 185.48/29.96  | | | | | | | 
% 185.48/29.96  | | | | | | | REF_CLOSE: (8), (14), (15), (16), (19), (22), (26), (29), (33),
% 185.48/29.96  | | | | | | |            (35), (51) are inconsistent by sub-proof #603.
% 185.48/29.96  | | | | | | | 
% 185.48/29.96  | | | | | | Case 2:
% 185.48/29.96  | | | | | | | 
% 185.48/29.96  | | | | | | |   (52)  all_56_10 = e1 & op(e2, e0) = e1
% 185.48/29.96  | | | | | | | 
% 185.48/29.96  | | | | | | | ALPHA: (52) implies:
% 185.48/29.96  | | | | | | |   (53)  all_56_10 = e1
% 185.48/29.96  | | | | | | | 
% 185.48/29.96  | | | | | | | BETA: splitting (29) gives:
% 185.48/29.96  | | | | | | | 
% 185.48/29.96  | | | | | | | Case 1:
% 185.48/29.96  | | | | | | | | 
% 185.48/29.96  | | | | | | | |   (54)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 &
% 185.48/29.96  | | | | | | | |           op(e2, e2) = e3)
% 185.48/29.96  | | | | | | | | 
% 185.48/29.96  | | | | | | | | BETA: splitting (54) gives:
% 185.48/29.96  | | | | | | | | 
% 185.48/29.96  | | | | | | | | Case 1:
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | |   (55)  all_56_2 = e3 & op(e2, e3) = e3
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | ALPHA: (55) implies:
% 185.48/29.96  | | | | | | | | |   (56)  all_56_2 = e3
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 185.48/29.96  | | | | | | | | |            (12), (15), (16), (17), (19), (20), (21), (22),
% 185.48/29.96  | | | | | | | | |            (23), (25), (26), (27), (28), (30), (31), (32),
% 185.48/29.96  | | | | | | | | |            (33), (34), (35), (36), (37), (38), (53), (56) are
% 185.48/29.96  | | | | | | | | |            inconsistent by sub-proof #584.
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | Case 2:
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | |   (57)  all_56_3 = e3 & op(e2, e2) = e3
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | ALPHA: (57) implies:
% 185.48/29.96  | | | | | | | | |   (58)  op(e2, e2) = e3
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | REF_CLOSE: (8), (19), (35), (58) are inconsistent by sub-proof
% 185.48/29.96  | | | | | | | | |            #1015.
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | End of split
% 185.48/29.96  | | | | | | | | 
% 185.48/29.96  | | | | | | | Case 2:
% 185.48/29.96  | | | | | | | | 
% 185.48/29.96  | | | | | | | |   (59)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 185.48/29.96  | | | | | | | |           op(e2, e0) = e3)
% 185.48/29.96  | | | | | | | | 
% 185.48/29.96  | | | | | | | | BETA: splitting (59) gives:
% 185.48/29.96  | | | | | | | | 
% 185.48/29.96  | | | | | | | | Case 1:
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | |   (60)  all_56_5 = e3 & op(e2, e1) = e3
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | ALPHA: (60) implies:
% 185.48/29.96  | | | | | | | | |   (61)  all_56_5 = e3
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | REF_CLOSE: (6), (7), (12), (14), (15), (19), (20), (22), (26),
% 185.48/29.96  | | | | | | | | |            (28), (33), (35), (38), (47), (53), (61) are
% 185.48/29.96  | | | | | | | | |            inconsistent by sub-proof #582.
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | Case 2:
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | |   (62)  all_56_10 = e3 & op(e2, e0) = e3
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | ALPHA: (62) implies:
% 185.48/29.96  | | | | | | | | |   (63)  all_56_10 = e3
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | | REF_CLOSE: (16), (53), (63) are inconsistent by sub-proof
% 185.48/29.96  | | | | | | | | |            #1489.
% 185.48/29.96  | | | | | | | | | 
% 185.48/29.96  | | | | | | | | End of split
% 185.48/29.96  | | | | | | | | 
% 185.48/29.96  | | | | | | | End of split
% 185.48/29.96  | | | | | | | 
% 185.48/29.96  | | | | | | End of split
% 185.48/29.96  | | | | | | 
% 185.48/29.96  | | | | | End of split
% 185.48/29.96  | | | | | 
% 185.48/29.96  | | | | Case 2:
% 185.48/29.96  | | | | | 
% 185.48/29.96  | | | | |   (64)  all_56_15 = e2 & op(e0, e0) = e2
% 185.48/29.96  | | | | | 
% 185.48/29.96  | | | | | ALPHA: (64) implies:
% 185.48/29.96  | | | | |   (65)  op(e0, e0) = e2
% 185.48/29.96  | | | | | 
% 185.48/29.96  | | | | | REF_CLOSE: (1), (17), (19), (65) are inconsistent by sub-proof #1511.
% 185.48/29.96  | | | | | 
% 185.48/29.96  | | | | End of split
% 185.48/29.96  | | | | 
% 185.48/29.96  | | | End of split
% 185.48/29.96  | | | 
% 185.48/29.96  | | End of split
% 185.48/29.96  | | 
% 185.48/29.96  | Case 2:
% 185.48/29.96  | | 
% 185.48/29.96  | |   (66)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.96  | |           e1)
% 185.48/29.96  | | 
% 185.48/29.96  | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (12), (15), (16), (19), (20), (26),
% 185.48/29.96  | |            (28), (33), (38), (66) are inconsistent by sub-proof #595.
% 185.48/29.96  | | 
% 185.48/29.96  | End of split
% 185.48/29.96  | 
% 185.48/29.96  End of proof
% 185.48/29.96  
% 185.48/29.96  Sub-proof #582 shows that the following formulas are inconsistent:
% 185.48/29.96  ----------------------------------------------------------------
% 185.48/29.96    (1)   ~ (e1 = e0)
% 185.48/29.96    (2)   ~ (all_52_9 = e0)
% 185.48/29.96    (3)  op(e2, e1) = all_52_9
% 185.48/29.96    (4)  all_56_5 = e3
% 185.48/29.96    (5)  all_56_2 = e0
% 185.48/29.96    (6)   ~ (e2 = e0)
% 185.48/29.96    (7)  all_56_14 = e2
% 185.48/29.96    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.96           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.96    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.96         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.96    (10)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.96          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.96    (11)   ~ (e3 = e2)
% 185.48/29.96    (12)  all_56_10 = e1
% 185.48/29.96    (13)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.96          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.96    (14)   ~ (e2 = e1)
% 185.48/29.96    (15)  op(e2, e2) = e0
% 185.48/29.96    (16)  op(e1, e1) = e1
% 185.48/29.96  
% 185.48/29.96  Begin of proof
% 185.48/29.96  | 
% 185.48/29.96  | BETA: splitting (9) gives:
% 185.48/29.96  | 
% 185.48/29.96  | Case 1:
% 185.48/29.96  | | 
% 185.48/29.96  | |   (17)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 185.48/29.96  | |           e0)
% 185.48/29.96  | | 
% 185.48/29.96  | | BETA: splitting (17) gives:
% 185.48/29.96  | | 
% 185.48/29.96  | | Case 1:
% 185.48/29.96  | | | 
% 185.48/29.96  | | |   (18)  all_56_4 = e0 & op(e3, e1) = e0
% 185.48/29.96  | | | 
% 185.48/29.96  | | | ALPHA: (18) implies:
% 185.48/29.96  | | |   (19)  all_56_4 = e0
% 185.48/29.96  | | | 
% 185.48/29.96  | | | REF_CLOSE: (4), (5), (6), (7), (8), (10), (11), (12), (13), (14), (15),
% 185.48/29.96  | | |            (16), (19) are inconsistent by sub-proof #583.
% 185.48/29.96  | | | 
% 185.48/29.96  | | Case 2:
% 185.48/29.96  | | | 
% 185.48/29.96  | | |   (20)  all_56_5 = e0 & op(e2, e1) = e0
% 185.48/29.96  | | | 
% 185.48/29.96  | | | REF_CLOSE: (2), (3), (8), (20) are inconsistent by sub-proof #1476.
% 185.48/29.96  | | | 
% 185.48/29.96  | | End of split
% 185.48/29.96  | | 
% 185.48/29.96  | Case 2:
% 185.48/29.96  | | 
% 185.48/29.96  | |   (21)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.48/29.96  | |           e0)
% 185.48/29.96  | | 
% 185.48/29.96  | | REF_CLOSE: (1), (6), (7), (8), (16), (21) are inconsistent by sub-proof
% 185.48/29.96  | |            #596.
% 185.48/29.96  | | 
% 185.48/29.96  | End of split
% 185.48/29.96  | 
% 185.48/29.96  End of proof
% 185.48/29.96  
% 185.48/29.96  Sub-proof #583 shows that the following formulas are inconsistent:
% 185.48/29.96  ----------------------------------------------------------------
% 185.48/29.96    (1)  all_56_5 = e3
% 185.48/29.96    (2)  all_56_2 = e0
% 185.48/29.96    (3)   ~ (e2 = e0)
% 185.48/29.96    (4)  all_56_14 = e2
% 185.48/29.96    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.96           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.96    (6)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.96         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.96    (7)   ~ (e3 = e2)
% 185.48/29.96    (8)  all_56_10 = e1
% 185.48/29.96    (9)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.96         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.96    (10)  all_56_4 = e0
% 185.48/29.96    (11)   ~ (e2 = e1)
% 185.48/29.96    (12)  op(e2, e2) = e0
% 185.48/29.96    (13)  op(e1, e1) = e1
% 185.48/29.96  
% 185.48/29.96  Begin of proof
% 185.48/29.96  | 
% 185.48/29.96  | BETA: splitting (6) gives:
% 185.48/29.96  | 
% 185.48/29.96  | Case 1:
% 185.48/29.96  | | 
% 185.48/29.96  | |   (14)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 185.48/29.96  | |           e2)
% 185.48/29.96  | | 
% 185.48/29.96  | | REF_CLOSE: (2), (3), (5), (12), (14) are inconsistent by sub-proof #606.
% 185.48/29.96  | | 
% 185.48/29.96  | Case 2:
% 185.48/29.96  | | 
% 185.48/29.96  | |   (15)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 185.48/29.96  | |           e2)
% 185.48/29.96  | | 
% 185.48/29.96  | | BETA: splitting (15) gives:
% 185.48/29.96  | | 
% 185.48/29.96  | | Case 1:
% 185.48/29.96  | | | 
% 185.48/29.96  | | |   (16)  all_56_5 = e2 & op(e2, e1) = e2
% 185.48/29.96  | | | 
% 185.48/29.96  | | | ALPHA: (16) implies:
% 185.48/29.96  | | |   (17)  all_56_5 = e2
% 185.48/29.96  | | | 
% 185.48/29.96  | | | REF_CLOSE: (1), (7), (17) are inconsistent by sub-proof #936.
% 185.48/29.96  | | | 
% 185.48/29.96  | | Case 2:
% 185.48/29.96  | | | 
% 185.48/29.96  | | |   (18)  all_56_10 = e2 & op(e2, e0) = e2
% 185.48/29.96  | | | 
% 185.48/29.96  | | | ALPHA: (18) implies:
% 185.48/29.96  | | |   (19)  all_56_10 = e2
% 185.48/29.96  | | | 
% 185.48/29.96  | | | COMBINE_EQS: (8), (19) imply:
% 185.48/29.96  | | |   (20)  e2 = e1
% 185.48/29.96  | | | 
% 185.48/29.96  | | | COMBINE_EQS: (4), (20) imply:
% 185.48/29.96  | | |   (21)  all_56_14 = e1
% 185.48/29.96  | | | 
% 185.48/29.96  | | | REF_CLOSE: (1), (3), (5), (7), (9), (10), (11), (13), (21) are
% 185.48/29.96  | | |            inconsistent by sub-proof #681.
% 185.48/29.96  | | | 
% 185.48/29.96  | | End of split
% 185.48/29.96  | | 
% 185.48/29.96  | End of split
% 185.48/29.96  | 
% 185.48/29.96  End of proof
% 185.48/29.96  
% 185.48/29.96  Sub-proof #584 shows that the following formulas are inconsistent:
% 185.48/29.96  ----------------------------------------------------------------
% 185.48/29.96    (1)  op(e0, e0) = all_6_2
% 185.48/29.96    (2)   ~ (all_4_2 = e0)
% 185.48/29.96    (3)   ~ (all_6_2 = e1)
% 185.48/29.96    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.96         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.96    (5)   ~ (e1 = e0)
% 185.48/29.96    (6)   ~ (all_52_9 = e0)
% 185.48/29.96    (7)   ~ (e3 = e0)
% 185.48/29.96    (8)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.96         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.96    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.96         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.96    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.96          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.96    (11)  op(e2, e1) = all_52_9
% 185.48/29.96    (12)   ~ (e2 = e0)
% 185.48/29.96    (13)   ~ (e3 = e1)
% 185.48/29.96    (14)   ~ (all_6_2 = e2)
% 185.48/29.96    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.96            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.96    (16)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.96          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.96    (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.96          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.96    (18)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.96          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.96    (19)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.96          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.96    (20)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.96          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.96            e1)
% 185.48/29.96    (21)   ~ (e3 = e2)
% 185.48/29.96    (22)  all_56_10 = e1
% 185.48/29.96    (23)  all_56_2 = e3
% 185.48/29.96    (24)  op(e3, e3) = all_4_2
% 185.48/29.96    (25)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.96          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.96    (26)  op(e3, e2) = all_52_4
% 185.48/29.96    (27)   ~ (all_52_4 = e0)
% 185.48/29.96    (28)  op(e3, e3) = e3
% 185.48/29.96    (29)   ~ (e2 = e1)
% 185.48/29.96    (30)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.96          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.96            e2)
% 185.48/29.96    (31)  op(e2, e2) = e0
% 185.48/29.96    (32)   ~ (all_4_2 = e1)
% 185.48/29.96    (33)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.96          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.96    (34)  op(e1, e1) = e1
% 185.48/29.96  
% 185.48/29.96  Begin of proof
% 185.48/29.96  | 
% 185.48/29.96  | BETA: splitting (4) gives:
% 185.48/29.96  | 
% 185.48/29.96  | Case 1:
% 185.48/29.96  | | 
% 185.48/29.96  | |   (35)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 185.48/29.96  | |           e3)
% 185.48/29.96  | | 
% 185.48/29.96  | | BETA: splitting (35) gives:
% 185.48/29.96  | | 
% 185.48/29.96  | | Case 1:
% 185.48/29.96  | | | 
% 185.48/29.96  | | |   (36)  all_56_4 = e3 & op(e3, e1) = e3
% 185.48/29.96  | | | 
% 185.48/29.96  | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (11), (12), (13), (15), (16),
% 185.48/29.96  | | |            (17), (19), (21), (24), (25), (26), (27), (28), (29), (32),
% 185.48/29.96  | | |            (34), (36) are inconsistent by sub-proof #589.
% 185.48/29.96  | | | 
% 185.48/29.96  | | Case 2:
% 185.48/29.96  | | | 
% 185.48/29.96  | | |   (37)  all_56_5 = e3 & op(e2, e1) = e3
% 185.48/29.96  | | | 
% 185.48/29.96  | | | ALPHA: (37) implies:
% 185.48/29.96  | | |   (38)  all_56_5 = e3
% 185.48/29.96  | | | 
% 185.48/29.96  | | | REF_CLOSE: (12), (15), (18), (21), (22), (23), (29), (31), (38) are
% 185.48/29.96  | | |            inconsistent by sub-proof #587.
% 185.48/29.96  | | | 
% 185.48/29.96  | | End of split
% 185.48/29.96  | | 
% 185.48/29.96  | Case 2:
% 185.48/29.96  | | 
% 185.48/29.96  | |   (39)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 185.48/29.96  | |           e3)
% 185.48/29.96  | | 
% 185.48/29.96  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 185.48/29.96  | |            (14), (15), (16), (20), (21), (23), (24), (25), (28), (29), (30),
% 185.48/29.96  | |            (32), (33), (34), (39) are inconsistent by sub-proof #585.
% 185.48/29.96  | | 
% 185.48/29.96  | End of split
% 185.48/29.96  | 
% 185.48/29.96  End of proof
% 185.48/29.96  
% 185.48/29.96  Sub-proof #585 shows that the following formulas are inconsistent:
% 185.48/29.96  ----------------------------------------------------------------
% 185.48/29.96    (1)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.96    (2)  op(e0, e0) = all_6_2
% 185.48/29.96    (3)   ~ (all_4_2 = e0)
% 185.48/29.96    (4)   ~ (all_6_2 = e1)
% 185.48/29.96    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.96         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.96    (6)   ~ (e1 = e0)
% 185.48/29.96    (7)   ~ (all_52_9 = e0)
% 185.48/29.96    (8)   ~ (e3 = e0)
% 185.48/29.96    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.96         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.96    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.96          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.96    (11)  op(e2, e1) = all_52_9
% 185.48/29.96    (12)   ~ (e2 = e0)
% 185.48/29.96    (13)   ~ (e3 = e1)
% 185.48/29.96    (14)   ~ (all_6_2 = e2)
% 185.48/29.96    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.96            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.96    (16)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.96          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.96    (17)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.96          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.96            e1)
% 185.48/29.96    (18)   ~ (e3 = e2)
% 185.48/29.96    (19)  all_56_2 = e3
% 185.48/29.96    (20)  op(e3, e3) = all_4_2
% 185.48/29.96    (21)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.96          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.96    (22)  op(e3, e3) = e3
% 185.48/29.96    (23)   ~ (e2 = e1)
% 185.48/29.96    (24)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.96          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.96            e2)
% 185.48/29.96    (25)   ~ (all_4_2 = e1)
% 185.48/29.96    (26)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.96          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.96    (27)  op(e1, e1) = e1
% 185.48/29.96  
% 185.48/29.96  Begin of proof
% 185.48/29.96  | 
% 185.48/29.96  | BETA: splitting (1) gives:
% 185.48/29.96  | 
% 185.48/29.96  | Case 1:
% 185.48/29.96  | | 
% 185.48/29.96  | |   (28)  all_56_8 = e3 & op(e1, e1) = e3
% 185.48/29.96  | | 
% 185.48/29.96  | | ALPHA: (28) implies:
% 185.48/29.96  | |   (29)  op(e1, e1) = e3
% 185.48/29.96  | | 
% 185.48/29.96  | | REF_CLOSE: (13), (15), (27), (29) are inconsistent by sub-proof #1541.
% 185.48/29.96  | | 
% 185.48/29.96  | Case 2:
% 185.48/29.96  | | 
% 185.48/29.96  | |   (30)  all_56_14 = e3 & op(e0, e1) = e3
% 185.48/29.96  | | 
% 185.48/29.96  | | ALPHA: (30) implies:
% 185.48/29.96  | |   (31)  all_56_14 = e3
% 185.48/29.96  | | 
% 185.48/29.96  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 185.48/29.96  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 185.48/29.96  | |            (25), (26), (27), (31) are inconsistent by sub-proof #586.
% 185.48/29.96  | | 
% 185.48/29.96  | End of split
% 185.48/29.96  | 
% 185.48/29.96  End of proof
% 185.48/29.96  
% 185.48/29.96  Sub-proof #586 shows that the following formulas are inconsistent:
% 185.48/29.96  ----------------------------------------------------------------
% 185.48/29.96    (1)  op(e0, e0) = all_6_2
% 185.48/29.96    (2)   ~ (all_4_2 = e0)
% 185.48/29.96    (3)   ~ (all_6_2 = e1)
% 185.48/29.96    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.96         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.96    (5)   ~ (e1 = e0)
% 185.48/29.96    (6)   ~ (all_52_9 = e0)
% 185.48/29.96    (7)   ~ (e3 = e0)
% 185.48/29.96    (8)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.96         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.96    (9)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.96         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.96    (10)  op(e2, e1) = all_52_9
% 185.48/29.96    (11)   ~ (e2 = e0)
% 185.48/29.96    (12)   ~ (e3 = e1)
% 185.48/29.96    (13)   ~ (all_6_2 = e2)
% 185.48/29.96    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.96            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.96    (15)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.96          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.96    (16)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.96          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.96            e1)
% 185.48/29.96    (17)   ~ (e3 = e2)
% 185.48/29.96    (18)  all_56_2 = e3
% 185.48/29.96    (19)  all_56_14 = e3
% 185.48/29.96    (20)  op(e3, e3) = all_4_2
% 185.48/29.97    (21)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.97          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.97    (22)  op(e3, e3) = e3
% 185.48/29.97    (23)   ~ (e2 = e1)
% 185.48/29.97    (24)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.97          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.97            e2)
% 185.48/29.97    (25)   ~ (all_4_2 = e1)
% 185.48/29.97    (26)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.97          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.97    (27)  op(e1, e1) = e1
% 185.48/29.97  
% 185.48/29.97  Begin of proof
% 185.48/29.97  | 
% 185.48/29.97  | BETA: splitting (15) gives:
% 185.48/29.97  | 
% 185.48/29.97  | Case 1:
% 185.48/29.97  | | 
% 185.48/29.97  | |   (28)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 185.48/29.97  | |           e0)
% 185.48/29.97  | | 
% 185.48/29.97  | | BETA: splitting (28) gives:
% 185.48/29.97  | | 
% 185.48/29.97  | | Case 1:
% 185.48/29.97  | | | 
% 185.48/29.97  | | |   (29)  all_56_4 = e0 & op(e3, e1) = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | ALPHA: (29) implies:
% 185.48/29.97  | | |   (30)  all_56_4 = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | BETA: splitting (9) gives:
% 185.48/29.97  | | | 
% 185.48/29.97  | | | Case 1:
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | |   (31)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3)
% 185.48/29.97  | | | |           = e1)
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | | BETA: splitting (31) gives:
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | | Case 1:
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | |   (32)  all_56_0 = e1 & op(e3, e3) = e1
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | ALPHA: (32) implies:
% 185.48/29.97  | | | | |   (33)  op(e3, e3) = e1
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | REF_CLOSE: (14), (20), (25), (33) are inconsistent by sub-proof #1525.
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | Case 2:
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | |   (34)  all_56_2 = e1 & op(e2, e3) = e1
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | ALPHA: (34) implies:
% 185.48/29.97  | | | | |   (35)  all_56_2 = e1
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | COMBINE_EQS: (18), (35) imply:
% 185.48/29.97  | | | | |   (36)  e3 = e1
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | COMBINE_EQS: (19), (36) imply:
% 185.48/29.97  | | | | |   (37)  all_56_14 = e1
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | REF_CLOSE: (4), (7), (11), (12), (14), (17), (21), (23), (27), (30),
% 185.48/29.97  | | | | |            (37) are inconsistent by sub-proof #601.
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | End of split
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | Case 2:
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | |   (38)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3)
% 185.48/29.97  | | | |           = e1)
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | | BETA: splitting (38) gives:
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | | Case 1:
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | |   (39)  all_56_6 = e1 & op(e1, e3) = e1
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | ALPHA: (39) implies:
% 185.48/29.97  | | | | |   (40)  all_56_6 = e1
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | REF_CLOSE: (1), (2), (3), (5), (7), (11), (12), (13), (14), (16),
% 185.48/29.97  | | | | |            (17), (18), (19), (20), (23), (24), (26), (40) are
% 185.48/29.97  | | | | |            inconsistent by sub-proof #1091.
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | Case 2:
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | |   (41)  all_56_12 = e1 & op(e0, e3) = e1
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | ALPHA: (41) implies:
% 185.48/29.97  | | | | |   (42)  all_56_12 = e1
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (11), (12), (13), (14), (16),
% 185.48/29.97  | | | | |            (17), (18), (19), (20), (22), (23), (24), (26), (42) are
% 185.48/29.97  | | | | |            inconsistent by sub-proof #1090.
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | End of split
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | End of split
% 185.48/29.97  | | | 
% 185.48/29.97  | | Case 2:
% 185.48/29.97  | | | 
% 185.48/29.97  | | |   (43)  all_56_5 = e0 & op(e2, e1) = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | REF_CLOSE: (6), (10), (14), (43) are inconsistent by sub-proof #1476.
% 185.48/29.97  | | | 
% 185.48/29.97  | | End of split
% 185.48/29.97  | | 
% 185.48/29.97  | Case 2:
% 185.48/29.97  | | 
% 185.48/29.97  | |   (44)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.48/29.97  | |           e0)
% 185.48/29.97  | | 
% 185.48/29.97  | | BETA: splitting (44) gives:
% 185.48/29.97  | | 
% 185.48/29.97  | | Case 1:
% 185.48/29.97  | | | 
% 185.48/29.97  | | |   (45)  all_56_8 = e0 & op(e1, e1) = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | ALPHA: (45) implies:
% 185.48/29.97  | | |   (46)  op(e1, e1) = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | REF_CLOSE: (5), (14), (27), (46) are inconsistent by sub-proof #1619.
% 185.48/29.97  | | | 
% 185.48/29.97  | | Case 2:
% 185.48/29.97  | | | 
% 185.48/29.97  | | |   (47)  all_56_14 = e0 & op(e0, e1) = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | REF_CLOSE: (7), (19), (47) are inconsistent by sub-proof #1371.
% 185.48/29.97  | | | 
% 185.48/29.97  | | End of split
% 185.48/29.97  | | 
% 185.48/29.97  | End of split
% 185.48/29.97  | 
% 185.48/29.97  End of proof
% 185.48/29.97  
% 185.48/29.97  Sub-proof #587 shows that the following formulas are inconsistent:
% 185.48/29.97  ----------------------------------------------------------------
% 185.48/29.97    (1)  all_56_5 = e3
% 185.48/29.97    (2)   ~ (e2 = e0)
% 185.48/29.97    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.97    (4)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.97         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.97    (5)   ~ (e3 = e2)
% 185.48/29.97    (6)  all_56_10 = e1
% 185.48/29.97    (7)  all_56_2 = e3
% 185.48/29.97    (8)   ~ (e2 = e1)
% 185.48/29.97    (9)  op(e2, e2) = e0
% 185.48/29.97  
% 185.48/29.97  Begin of proof
% 185.48/29.97  | 
% 185.48/29.97  | BETA: splitting (4) gives:
% 185.48/29.97  | 
% 185.48/29.97  | Case 1:
% 185.48/29.97  | | 
% 185.48/29.97  | |   (10)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 185.48/29.97  | |           e2)
% 185.48/29.97  | | 
% 185.48/29.97  | | REF_CLOSE: (2), (3), (5), (7), (9), (10) are inconsistent by sub-proof #588.
% 185.48/29.97  | | 
% 185.48/29.97  | Case 2:
% 185.48/29.97  | | 
% 185.48/29.97  | |   (11)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 185.48/29.97  | |           e2)
% 185.48/29.97  | | 
% 185.48/29.97  | | BETA: splitting (11) gives:
% 185.48/29.97  | | 
% 185.48/29.97  | | Case 1:
% 185.48/29.97  | | | 
% 185.48/29.97  | | |   (12)  all_56_5 = e2 & op(e2, e1) = e2
% 185.48/29.97  | | | 
% 185.48/29.97  | | | REF_CLOSE: (1), (5), (12) are inconsistent by sub-proof #1474.
% 185.48/29.97  | | | 
% 185.48/29.97  | | Case 2:
% 185.48/29.97  | | | 
% 185.48/29.97  | | |   (13)  all_56_10 = e2 & op(e2, e0) = e2
% 185.48/29.97  | | | 
% 185.48/29.97  | | | ALPHA: (13) implies:
% 185.48/29.97  | | |   (14)  all_56_10 = e2
% 185.48/29.97  | | | 
% 185.48/29.97  | | | REF_CLOSE: (6), (8), (14) are inconsistent by sub-proof #1064.
% 185.48/29.97  | | | 
% 185.48/29.97  | | End of split
% 185.48/29.97  | | 
% 185.48/29.97  | End of split
% 185.48/29.97  | 
% 185.48/29.97  End of proof
% 185.48/29.97  
% 185.48/29.97  Sub-proof #588 shows that the following formulas are inconsistent:
% 185.48/29.97  ----------------------------------------------------------------
% 185.48/29.97    (1)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 185.48/29.97    (2)   ~ (e2 = e0)
% 185.48/29.97    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.97    (4)   ~ (e3 = e2)
% 185.48/29.97    (5)  all_56_2 = e3
% 185.48/29.97    (6)  op(e2, e2) = e0
% 185.48/29.97  
% 185.48/29.97  Begin of proof
% 185.48/29.97  | 
% 185.48/29.97  | BETA: splitting (1) gives:
% 185.48/29.97  | 
% 185.48/29.97  | Case 1:
% 185.48/29.97  | | 
% 185.48/29.97  | |   (7)  all_56_2 = e2 & op(e2, e3) = e2
% 185.48/29.97  | | 
% 185.48/29.97  | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #1593.
% 185.48/29.97  | | 
% 185.48/29.97  | Case 2:
% 185.48/29.97  | | 
% 185.48/29.97  | |   (8)  all_56_3 = e2 & op(e2, e2) = e2
% 185.48/29.97  | | 
% 185.48/29.97  | | ALPHA: (8) implies:
% 185.48/29.97  | |   (9)  op(e2, e2) = e2
% 185.48/29.97  | | 
% 185.48/29.97  | | REF_CLOSE: (2), (3), (6), (9) are inconsistent by sub-proof #1586.
% 185.48/29.97  | | 
% 185.48/29.97  | End of split
% 185.48/29.97  | 
% 185.48/29.97  End of proof
% 185.48/29.97  
% 185.48/29.97  Sub-proof #589 shows that the following formulas are inconsistent:
% 185.48/29.97  ----------------------------------------------------------------
% 185.48/29.97    (1)   ~ (all_4_2 = e0)
% 185.48/29.97    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.97         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.97    (3)   ~ (e1 = e0)
% 185.48/29.97    (4)   ~ (all_52_9 = e0)
% 185.48/29.97    (5)   ~ (e3 = e0)
% 185.48/29.97    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.97         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.97    (7)  op(e2, e1) = all_52_9
% 185.48/29.97    (8)   ~ (e2 = e0)
% 185.48/29.97    (9)   ~ (e3 = e1)
% 185.48/29.97    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.97            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.97    (11)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.97          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.97    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.48/29.97          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.97    (13)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.97          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.97    (14)   ~ (e3 = e2)
% 185.48/29.97    (15)  op(e3, e3) = all_4_2
% 185.48/29.97    (16)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.97          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.97    (17)  op(e3, e2) = all_52_4
% 185.48/29.97    (18)  all_56_4 = e3 & op(e3, e1) = e3
% 185.48/29.97    (19)   ~ (all_52_4 = e0)
% 185.48/29.97    (20)  op(e3, e3) = e3
% 185.48/29.97    (21)   ~ (e2 = e1)
% 185.48/29.97    (22)   ~ (all_4_2 = e1)
% 185.48/29.97    (23)  op(e1, e1) = e1
% 185.48/29.97  
% 185.48/29.97  Begin of proof
% 185.48/29.97  | 
% 185.48/29.97  | ALPHA: (18) implies:
% 185.48/29.97  |   (24)  all_56_4 = e3
% 185.48/29.97  | 
% 185.48/29.97  | BETA: splitting (6) gives:
% 185.48/29.97  | 
% 185.48/29.97  | Case 1:
% 185.48/29.97  | | 
% 185.48/29.97  | |   (25)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 185.48/29.97  | |           e0)
% 185.48/29.97  | | 
% 185.48/29.97  | | REF_CLOSE: (1), (10), (15), (17), (19), (25) are inconsistent by sub-proof
% 185.48/29.97  | |            #1060.
% 185.48/29.97  | | 
% 185.48/29.97  | Case 2:
% 185.48/29.97  | | 
% 185.48/29.97  | |   (26)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 185.48/29.97  | |           e0)
% 185.48/29.97  | | 
% 185.48/29.97  | | BETA: splitting (26) gives:
% 185.48/29.97  | | 
% 185.48/29.97  | | Case 1:
% 185.48/29.97  | | | 
% 185.48/29.97  | | |   (27)  all_56_4 = e0 & op(e3, e1) = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | REF_CLOSE: (5), (24), (27) are inconsistent by sub-proof #591.
% 185.48/29.97  | | | 
% 185.48/29.97  | | Case 2:
% 185.48/29.97  | | | 
% 185.48/29.97  | | |   (28)  all_56_9 = e0 & op(e3, e0) = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | ALPHA: (28) implies:
% 185.48/29.97  | | |   (29)  all_56_9 = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | BETA: splitting (11) gives:
% 185.48/29.97  | | | 
% 185.48/29.97  | | | Case 1:
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | |   (30)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1)
% 185.48/29.97  | | | |           = e0)
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | | BETA: splitting (30) gives:
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | | Case 1:
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | |   (31)  all_56_4 = e0 & op(e3, e1) = e0
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | REF_CLOSE: (5), (24), (31) are inconsistent by sub-proof #591.
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | Case 2:
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | |   (32)  all_56_5 = e0 & op(e2, e1) = e0
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | REF_CLOSE: (4), (7), (10), (32) are inconsistent by sub-proof #1476.
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | End of split
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | Case 2:
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | |   (33)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1)
% 185.48/29.97  | | | |           = e0)
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | | BETA: splitting (33) gives:
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | | Case 1:
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | |   (34)  all_56_8 = e0 & op(e1, e1) = e0
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | ALPHA: (34) implies:
% 185.48/29.97  | | | | |   (35)  op(e1, e1) = e0
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | REF_CLOSE: (3), (10), (23), (35) are inconsistent by sub-proof #1619.
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | Case 2:
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | |   (36)  all_56_14 = e0 & op(e0, e1) = e0
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | ALPHA: (36) implies:
% 185.48/29.97  | | | | |   (37)  all_56_14 = e0
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | BETA: splitting (12) gives:
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | Case 1:
% 185.48/29.97  | | | | | | 
% 185.48/29.97  | | | | | |   (38)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3,
% 185.48/29.97  | | | | | |             e2) = e1)
% 185.48/29.97  | | | | | | 
% 185.48/29.97  | | | | | | BETA: splitting (38) gives:
% 185.48/29.97  | | | | | | 
% 185.48/29.97  | | | | | | Case 1:
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | |   (39)  all_56_0 = e1 & op(e3, e3) = e1
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | | ALPHA: (39) implies:
% 185.48/29.97  | | | | | | |   (40)  op(e3, e3) = e1
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | | REF_CLOSE: (10), (15), (22), (40) are inconsistent by sub-proof
% 185.48/29.97  | | | | | | |            #1525.
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | Case 2:
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | |   (41)  all_56_1 = e1 & op(e3, e2) = e1
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | | ALPHA: (41) implies:
% 185.48/29.97  | | | | | | |   (42)  all_56_1 = e1
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | | REF_CLOSE: (8), (10), (13), (14), (20), (21), (24), (29), (42) are
% 185.48/29.97  | | | | | | |            inconsistent by sub-proof #970.
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | End of split
% 185.48/29.97  | | | | | | 
% 185.48/29.97  | | | | | Case 2:
% 185.48/29.97  | | | | | | 
% 185.48/29.97  | | | | | |   (43)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3,
% 185.48/29.97  | | | | | |             e0) = e1)
% 185.48/29.97  | | | | | | 
% 185.48/29.97  | | | | | | REF_CLOSE: (2), (3), (5), (8), (9), (10), (14), (16), (21), (23),
% 185.48/29.97  | | | | | |            (29), (37), (43) are inconsistent by sub-proof #590.
% 185.48/29.97  | | | | | | 
% 185.48/29.97  | | | | | End of split
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | End of split
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | End of split
% 185.48/29.97  | | | 
% 185.48/29.97  | | End of split
% 185.48/29.97  | | 
% 185.48/29.97  | End of split
% 185.48/29.97  | 
% 185.48/29.97  End of proof
% 185.48/29.97  
% 185.48/29.97  Sub-proof #590 shows that the following formulas are inconsistent:
% 185.48/29.97  ----------------------------------------------------------------
% 185.48/29.97    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.97         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.97    (2)   ~ (e1 = e0)
% 185.48/29.97    (3)   ~ (e3 = e0)
% 185.48/29.97    (4)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.48/29.97    (5)   ~ (e2 = e0)
% 185.48/29.97    (6)   ~ (e3 = e1)
% 185.48/29.97    (7)  all_56_9 = e0
% 185.48/29.97    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.97           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.97    (9)   ~ (e3 = e2)
% 185.48/29.97    (10)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.97          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.97    (11)   ~ (e2 = e1)
% 185.48/29.97    (12)  all_56_14 = e0
% 185.48/29.97    (13)  op(e1, e1) = e1
% 185.48/29.97  
% 185.48/29.97  Begin of proof
% 185.48/29.97  | 
% 185.48/29.97  | BETA: splitting (4) gives:
% 185.48/29.97  | 
% 185.48/29.97  | Case 1:
% 185.48/29.97  | | 
% 185.48/29.97  | |   (14)  all_56_4 = e1 & op(e3, e1) = e1
% 185.48/29.97  | | 
% 185.48/29.97  | | ALPHA: (14) implies:
% 185.48/29.97  | |   (15)  all_56_4 = e1
% 185.48/29.97  | | 
% 185.48/29.97  | | REF_CLOSE: (1), (3), (5), (6), (8), (9), (10), (11), (12), (13), (15) are
% 185.48/29.97  | |            inconsistent by sub-proof #1468.
% 185.48/29.97  | | 
% 185.48/29.97  | Case 2:
% 185.48/29.97  | | 
% 185.48/29.97  | |   (16)  all_56_9 = e1 & op(e3, e0) = e1
% 185.48/29.97  | | 
% 185.48/29.97  | | ALPHA: (16) implies:
% 185.48/29.97  | |   (17)  all_56_9 = e1
% 185.48/29.97  | | 
% 185.48/29.97  | | REF_CLOSE: (2), (7), (17) are inconsistent by sub-proof #1484.
% 185.48/29.97  | | 
% 185.48/29.97  | End of split
% 185.48/29.97  | 
% 185.48/29.97  End of proof
% 185.48/29.97  
% 185.48/29.97  Sub-proof #591 shows that the following formulas are inconsistent:
% 185.48/29.97  ----------------------------------------------------------------
% 185.48/29.97    (1)  all_56_4 = e0 & op(e3, e1) = e0
% 185.48/29.97    (2)  all_56_4 = e3
% 185.48/29.97    (3)   ~ (e3 = e0)
% 185.48/29.97  
% 185.48/29.97  Begin of proof
% 185.48/29.97  | 
% 185.48/29.97  | ALPHA: (1) implies:
% 185.48/29.97  |   (4)  all_56_4 = e0
% 185.48/29.97  | 
% 185.48/29.97  | COMBINE_EQS: (2), (4) imply:
% 185.48/29.97  |   (5)  e3 = e0
% 185.48/29.97  | 
% 185.48/29.97  | REDUCE: (3), (5) imply:
% 185.48/29.97  |   (6)  $false
% 185.48/29.97  | 
% 185.48/29.97  | CLOSE: (6) is inconsistent.
% 185.48/29.97  | 
% 185.48/29.97  End of proof
% 185.48/29.97  
% 185.48/29.97  Sub-proof #592 shows that the following formulas are inconsistent:
% 185.48/29.97  ----------------------------------------------------------------
% 185.48/29.97    (1)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.97    (2)  all_56_12 = e3
% 185.48/29.97    (3)   ~ (e3 = e2)
% 185.48/29.97    (4)   ~ (e2 = e1)
% 185.48/29.97    (5)  all_56_13 = e1
% 185.48/29.97  
% 185.48/29.97  Begin of proof
% 185.48/29.97  | 
% 185.48/29.97  | BETA: splitting (1) gives:
% 185.48/29.97  | 
% 185.48/29.97  | Case 1:
% 185.48/29.97  | | 
% 185.48/29.97  | |   (6)  all_56_12 = e2 & op(e0, e3) = e2
% 185.48/29.97  | | 
% 185.48/29.97  | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #714.
% 185.48/29.97  | | 
% 185.48/29.97  | Case 2:
% 185.48/29.97  | | 
% 185.48/29.97  | |   (7)  all_56_13 = e2 & op(e0, e2) = e2
% 185.48/29.97  | | 
% 185.48/29.97  | | ALPHA: (7) implies:
% 185.48/29.97  | |   (8)  all_56_13 = e2
% 185.48/29.97  | | 
% 185.48/29.97  | | REF_CLOSE: (4), (5), (8) are inconsistent by sub-proof #1086.
% 185.48/29.97  | | 
% 185.48/29.97  | End of split
% 185.48/29.97  | 
% 185.48/29.97  End of proof
% 185.48/29.97  
% 185.48/29.97  Sub-proof #593 shows that the following formulas are inconsistent:
% 185.48/29.97  ----------------------------------------------------------------
% 185.48/29.97    (1)  op(e0, e0) = all_6_2
% 185.48/29.97    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.48/29.97         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.48/29.97    (3)   ~ (all_4_2 = e0)
% 185.48/29.97    (4)   ~ (all_6_2 = e1)
% 185.48/29.97    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.97         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.97    (6)   ~ (e1 = e0)
% 185.48/29.97    (7)   ~ (all_52_9 = e0)
% 185.48/29.97    (8)   ~ (e3 = e0)
% 185.48/29.97    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.97         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.97    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.97          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.97    (11)  op(e2, e1) = all_52_9
% 185.48/29.97    (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.48/29.97          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.48/29.97    (13)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.97          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.48/29.97    (14)   ~ (all_52_6 = e0)
% 185.48/29.97    (15)   ~ (e2 = e0)
% 185.48/29.97    (16)   ~ (e3 = e1)
% 185.48/29.97    (17)   ~ (all_6_2 = e2)
% 185.48/29.97    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.97            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.97    (19)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.97          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.97    (20)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.97          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.97    (21)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.97          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.97    (22)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.97          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.97            e1)
% 185.48/29.97    (23)  all_56_6 = e3
% 185.48/29.97    (24)   ~ (e3 = e2)
% 185.48/29.97    (25)  op(e3, e3) = all_4_2
% 185.48/29.97    (26)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.97          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.97    (27)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.97          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.97    (28)  op(e1, e2) = all_52_6
% 185.48/29.97    (29)  op(e3, e3) = e3
% 185.48/29.97    (30)   ~ (e2 = e1)
% 185.48/29.97    (31)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.97          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.97            e2)
% 185.48/29.97    (32)  op(e2, e2) = e0
% 185.48/29.97    (33)   ~ (all_4_2 = e1)
% 185.48/29.97    (34)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.97          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.97    (35)  op(e1, e1) = e1
% 185.48/29.97  
% 185.48/29.97  Begin of proof
% 185.48/29.97  | 
% 185.48/29.97  | BETA: splitting (12) gives:
% 185.48/29.97  | 
% 185.48/29.97  | Case 1:
% 185.48/29.97  | | 
% 185.48/29.97  | |   (36)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 185.48/29.97  | |           e0)
% 185.48/29.97  | | 
% 185.48/29.97  | | BETA: splitting (36) gives:
% 185.48/29.97  | | 
% 185.48/29.97  | | Case 1:
% 185.48/29.97  | | | 
% 185.48/29.97  | | |   (37)  all_56_6 = e0 & op(e1, e3) = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | REF_CLOSE: (8), (23), (37) are inconsistent by sub-proof #801.
% 185.48/29.97  | | | 
% 185.48/29.97  | | Case 2:
% 185.48/29.97  | | | 
% 185.48/29.97  | | |   (38)  all_56_7 = e0 & op(e1, e2) = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | REF_CLOSE: (14), (18), (28), (38) are inconsistent by sub-proof #1199.
% 185.48/29.97  | | | 
% 185.48/29.97  | | End of split
% 185.48/29.97  | | 
% 185.48/29.97  | Case 2:
% 185.48/29.97  | | 
% 185.48/29.97  | |   (39)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.48/29.97  | |           e0)
% 185.48/29.97  | | 
% 185.48/29.97  | | BETA: splitting (39) gives:
% 185.48/29.97  | | 
% 185.48/29.97  | | Case 1:
% 185.48/29.97  | | | 
% 185.48/29.97  | | |   (40)  all_56_8 = e0 & op(e1, e1) = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | ALPHA: (40) implies:
% 185.48/29.97  | | |   (41)  op(e1, e1) = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | REF_CLOSE: (6), (18), (35), (41) are inconsistent by sub-proof #1619.
% 185.48/29.97  | | | 
% 185.48/29.97  | | Case 2:
% 185.48/29.97  | | | 
% 185.48/29.97  | | |   (42)  all_56_11 = e0 & op(e1, e0) = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | ALPHA: (42) implies:
% 185.48/29.97  | | |   (43)  all_56_11 = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 185.48/29.97  | | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 185.48/29.97  | | |            (25), (26), (27), (29), (30), (31), (32), (33), (34), (35),
% 185.48/29.97  | | |            (43) are inconsistent by sub-proof #594.
% 185.48/29.97  | | | 
% 185.48/29.97  | | End of split
% 185.48/29.97  | | 
% 185.48/29.97  | End of split
% 185.48/29.97  | 
% 185.48/29.97  End of proof
% 185.48/29.97  
% 185.48/29.97  Sub-proof #594 shows that the following formulas are inconsistent:
% 185.48/29.97  ----------------------------------------------------------------
% 185.48/29.97    (1)  op(e0, e0) = all_6_2
% 185.48/29.97    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.48/29.97         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.48/29.97    (3)   ~ (all_4_2 = e0)
% 185.48/29.97    (4)   ~ (all_6_2 = e1)
% 185.48/29.97    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.97         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.97    (6)   ~ (e1 = e0)
% 185.48/29.97    (7)   ~ (all_52_9 = e0)
% 185.48/29.97    (8)   ~ (e3 = e0)
% 185.48/29.97    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.97         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.97    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.97          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.97    (11)  op(e2, e1) = all_52_9
% 185.48/29.97    (12)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.97          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.48/29.97    (13)   ~ (e2 = e0)
% 185.48/29.97    (14)   ~ (e3 = e1)
% 185.48/29.97    (15)   ~ (all_6_2 = e2)
% 185.48/29.97    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.97            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.97    (17)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.97          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.97    (18)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.97          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.97    (19)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.97          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.97    (20)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.97          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.97            e1)
% 185.48/29.97    (21)  all_56_6 = e3
% 185.48/29.97    (22)   ~ (e3 = e2)
% 185.48/29.97    (23)  op(e3, e3) = all_4_2
% 185.48/29.97    (24)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.97          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.97    (25)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.97          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.97    (26)  all_56_11 = e0
% 185.48/29.97    (27)  op(e3, e3) = e3
% 185.48/29.97    (28)   ~ (e2 = e1)
% 185.48/29.97    (29)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.97          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.97            e2)
% 185.48/29.97    (30)  op(e2, e2) = e0
% 185.48/29.97    (31)   ~ (all_4_2 = e1)
% 185.48/29.97    (32)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.97          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.97    (33)  op(e1, e1) = e1
% 185.48/29.97  
% 185.48/29.97  Begin of proof
% 185.48/29.97  | 
% 185.48/29.97  | BETA: splitting (32) gives:
% 185.48/29.97  | 
% 185.48/29.97  | Case 1:
% 185.48/29.97  | | 
% 185.48/29.97  | |   (34)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 185.48/29.97  | |           e0)
% 185.48/29.97  | | 
% 185.48/29.97  | | BETA: splitting (34) gives:
% 185.48/29.97  | | 
% 185.48/29.97  | | Case 1:
% 185.48/29.97  | | | 
% 185.48/29.97  | | |   (35)  all_56_0 = e0 & op(e3, e3) = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | ALPHA: (35) implies:
% 185.48/29.97  | | |   (36)  op(e3, e3) = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | REF_CLOSE: (3), (16), (23), (36) are inconsistent by sub-proof #1624.
% 185.48/29.97  | | | 
% 185.48/29.97  | | Case 2:
% 185.48/29.97  | | | 
% 185.48/29.97  | | |   (37)  all_56_2 = e0 & op(e2, e3) = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | ALPHA: (37) implies:
% 185.48/29.97  | | |   (38)  all_56_2 = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | REF_CLOSE: (2), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 185.48/29.97  | | |            (16), (17), (18), (19), (21), (22), (23), (24), (25), (26),
% 185.48/29.97  | | |            (27), (28), (30), (31), (33), (38) are inconsistent by
% 185.48/29.97  | | |            sub-proof #598.
% 185.48/29.97  | | | 
% 185.48/29.97  | | End of split
% 185.48/29.97  | | 
% 185.48/29.97  | Case 2:
% 185.48/29.97  | | 
% 185.48/29.97  | |   (39)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 185.48/29.97  | |           e0)
% 185.48/29.97  | | 
% 185.48/29.97  | | BETA: splitting (39) gives:
% 185.48/29.97  | | 
% 185.48/29.97  | | Case 1:
% 185.48/29.97  | | | 
% 185.48/29.97  | | |   (40)  all_56_6 = e0 & op(e1, e3) = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | REF_CLOSE: (8), (21), (40) are inconsistent by sub-proof #801.
% 185.48/29.97  | | | 
% 185.48/29.97  | | Case 2:
% 185.48/29.97  | | | 
% 185.48/29.97  | | |   (41)  all_56_12 = e0 & op(e0, e3) = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | ALPHA: (41) implies:
% 185.48/29.97  | | |   (42)  all_56_12 = e0
% 185.48/29.97  | | |   (43)  op(e0, e3) = e0
% 185.48/29.97  | | | 
% 185.48/29.97  | | | BETA: splitting (20) gives:
% 185.48/29.97  | | | 
% 185.48/29.97  | | | Case 1:
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | |   (44)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0,
% 185.48/29.97  | | | |             e2) = e1)
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | | BETA: splitting (44) gives:
% 185.48/29.97  | | | | 
% 185.48/29.97  | | | | Case 1:
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | |   (45)  all_56_12 = e1 & op(e0, e3) = e1
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | ALPHA: (45) implies:
% 185.48/29.97  | | | | |   (46)  op(e0, e3) = e1
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | REF_CLOSE: (6), (16), (43), (46) are inconsistent by sub-proof #1589.
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | Case 2:
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | |   (47)  all_56_13 = e1 & op(e0, e2) = e1
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | ALPHA: (47) implies:
% 185.48/29.97  | | | | |   (48)  all_56_13 = e1
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | BETA: splitting (29) gives:
% 185.48/29.97  | | | | | 
% 185.48/29.97  | | | | | Case 1:
% 185.48/29.97  | | | | | | 
% 185.48/29.97  | | | | | |   (49)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 &
% 185.48/29.97  | | | | | |           op(e0, e2) = e2)
% 185.48/29.97  | | | | | | 
% 185.48/29.97  | | | | | | BETA: splitting (49) gives:
% 185.48/29.97  | | | | | | 
% 185.48/29.97  | | | | | | Case 1:
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | |   (50)  all_56_12 = e2 & op(e0, e3) = e2
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | | ALPHA: (50) implies:
% 185.48/29.97  | | | | | | |   (51)  all_56_12 = e2
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | | REF_CLOSE: (13), (42), (51) are inconsistent by sub-proof #1548.
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | Case 2:
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | |   (52)  all_56_13 = e2 & op(e0, e2) = e2
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | | ALPHA: (52) implies:
% 185.48/29.97  | | | | | | |   (53)  all_56_13 = e2
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | | REF_CLOSE: (28), (48), (53) are inconsistent by sub-proof #1086.
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | End of split
% 185.48/29.97  | | | | | | 
% 185.48/29.97  | | | | | Case 2:
% 185.48/29.97  | | | | | | 
% 185.48/29.97  | | | | | |   (54)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 &
% 185.48/29.97  | | | | | |           op(e0, e0) = e2)
% 185.48/29.97  | | | | | | 
% 185.48/29.97  | | | | | | BETA: splitting (54) gives:
% 185.48/29.97  | | | | | | 
% 185.48/29.97  | | | | | | Case 1:
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | |   (55)  all_56_14 = e2 & op(e0, e1) = e2
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | | ALPHA: (55) implies:
% 185.48/29.97  | | | | | | |   (56)  all_56_14 = e2
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | | BETA: splitting (17) gives:
% 185.48/29.97  | | | | | | | 
% 185.48/29.97  | | | | | | | Case 1:
% 185.48/29.97  | | | | | | | | 
% 185.48/29.97  | | | | | | | |   (57)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 &
% 185.48/29.97  | | | | | | | |           op(e2, e1) = e0)
% 185.48/29.97  | | | | | | | | 
% 185.48/29.97  | | | | | | | | BETA: splitting (57) gives:
% 185.48/29.97  | | | | | | | | 
% 185.48/29.97  | | | | | | | | Case 1:
% 185.48/29.97  | | | | | | | | | 
% 185.48/29.97  | | | | | | | | |   (58)  all_56_4 = e0 & op(e3, e1) = e0
% 185.48/29.97  | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | ALPHA: (58) implies:
% 185.48/29.97  | | | | | | | | |   (59)  all_56_4 = e0
% 185.48/29.97  | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | BETA: splitting (5) gives:
% 185.48/29.97  | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | Case 1:
% 185.48/29.97  | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | |   (60)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 &
% 185.48/29.97  | | | | | | | | | |           op(e2, e1) = e3)
% 185.48/29.97  | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | BETA: splitting (60) gives:
% 185.48/29.97  | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | Case 1:
% 185.48/29.97  | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | |   (61)  all_56_4 = e3 & op(e3, e1) = e3
% 185.48/29.97  | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | REF_CLOSE: (8), (59), (61) are inconsistent by sub-proof
% 185.48/29.97  | | | | | | | | | | |            #910.
% 185.48/29.97  | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | Case 2:
% 185.48/29.97  | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | |   (62)  all_56_5 = e3 & op(e2, e1) = e3
% 185.48/29.97  | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | ALPHA: (62) implies:
% 185.48/29.97  | | | | | | | | | | |   (63)  all_56_5 = e3
% 185.48/29.97  | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | BETA: splitting (9) gives:
% 185.48/29.97  | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | Case 1:
% 185.48/29.97  | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | |   (64)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 185.48/29.97  | | | | | | | | | | | |           & op(e2, e3) = e2)
% 185.48/29.97  | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | BETA: splitting (64) gives:
% 185.48/29.97  | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | Case 1:
% 185.48/29.97  | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | |   (65)  all_56_0 = e2 & op(e3, e3) = e2
% 185.48/29.97  | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | ALPHA: (65) implies:
% 185.48/29.97  | | | | | | | | | | | | |   (66)  op(e3, e3) = e2
% 185.48/29.97  | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | REF_CLOSE: (16), (22), (27), (66) are inconsistent by
% 185.48/29.97  | | | | | | | | | | | | |            sub-proof #1594.
% 185.48/29.97  | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | Case 2:
% 185.48/29.97  | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | |   (67)  all_56_2 = e2 & op(e2, e3) = e2
% 185.48/29.97  | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | ALPHA: (67) implies:
% 185.48/29.97  | | | | | | | | | | | | |   (68)  all_56_2 = e2
% 185.48/29.97  | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | BETA: splitting (10) gives:
% 185.48/29.97  | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | Case 1:
% 185.48/29.97  | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | |   (69)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 185.48/29.97  | | | | | | | | | | | | | |           & op(e2, e3) = e1)
% 185.48/29.97  | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 185.48/29.97  | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | Case 1:
% 185.48/29.97  | | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | |   (70)  all_56_0 = e1 & op(e3, e3) = e1
% 185.48/29.97  | | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | | ALPHA: (70) implies:
% 185.48/29.97  | | | | | | | | | | | | | | |   (71)  op(e3, e3) = e1
% 185.48/29.97  | | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | | REF_CLOSE: (16), (23), (31), (71) are inconsistent by
% 185.48/29.97  | | | | | | | | | | | | | | |            sub-proof #1525.
% 185.48/29.97  | | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | Case 2:
% 185.48/29.97  | | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | |   (72)  all_56_2 = e1 & op(e2, e3) = e1
% 185.48/29.97  | | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | | ALPHA: (72) implies:
% 185.48/29.97  | | | | | | | | | | | | | | |   (73)  all_56_2 = e1
% 185.48/29.97  | | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | | REF_CLOSE: (13), (16), (22), (24), (28), (33), (56), (59),
% 185.48/29.97  | | | | | | | | | | | | | | |            (63), (68), (73) are inconsistent by sub-proof
% 185.48/29.97  | | | | | | | | | | | | | | |            #597.
% 185.48/29.97  | | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | End of split
% 185.48/29.97  | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | Case 2:
% 185.48/29.97  | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | |   (74)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 185.48/29.97  | | | | | | | | | | | | | |           e1 & op(e0, e3) = e1)
% 185.48/29.97  | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | BETA: splitting (74) gives:
% 185.48/29.97  | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | Case 1:
% 185.48/29.97  | | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | |   (75)  all_56_6 = e1 & op(e1, e3) = e1
% 185.48/29.97  | | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | | ALPHA: (75) implies:
% 185.48/29.97  | | | | | | | | | | | | | | |   (76)  all_56_6 = e1
% 185.48/29.97  | | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | | REF_CLOSE: (14), (21), (76) are inconsistent by sub-proof
% 185.48/29.97  | | | | | | | | | | | | | | |            #1546.
% 185.48/29.97  | | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | Case 2:
% 185.48/29.97  | | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | |   (77)  all_56_12 = e1 & op(e0, e3) = e1
% 185.48/29.97  | | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | | ALPHA: (77) implies:
% 185.48/29.97  | | | | | | | | | | | | | | |   (78)  op(e0, e3) = e1
% 185.48/29.97  | | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | | REF_CLOSE: (6), (16), (43), (78) are inconsistent by
% 185.48/29.97  | | | | | | | | | | | | | | |            sub-proof #1589.
% 185.48/29.97  | | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | | End of split
% 185.48/29.97  | | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | End of split
% 185.48/29.97  | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | End of split
% 185.48/29.97  | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | Case 2:
% 185.48/29.97  | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | |   (79)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 185.48/29.97  | | | | | | | | | | | |           e2 & op(e0, e3) = e2)
% 185.48/29.97  | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | BETA: splitting (79) gives:
% 185.48/29.97  | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | Case 1:
% 185.48/29.97  | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | |   (80)  all_56_6 = e2 & op(e1, e3) = e2
% 185.48/29.97  | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | ALPHA: (80) implies:
% 185.48/29.97  | | | | | | | | | | | | |   (81)  all_56_6 = e2
% 185.48/29.97  | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | REF_CLOSE: (21), (22), (81) are inconsistent by sub-proof
% 185.48/29.97  | | | | | | | | | | | | |            #1454.
% 185.48/29.97  | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | Case 2:
% 185.48/29.97  | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | |   (82)  all_56_12 = e2 & op(e0, e3) = e2
% 185.48/29.97  | | | | | | | | | | | | | 
% 185.48/29.97  | | | | | | | | | | | | | REF_CLOSE: (13), (42), (82) are inconsistent by sub-proof
% 185.48/29.98  | | | | | | | | | | | | |            #1514.
% 185.48/29.98  | | | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | | End of split
% 185.48/29.98  | | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | End of split
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | End of split
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | Case 2:
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | |   (83)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3
% 185.48/29.98  | | | | | | | | | |           & op(e0, e1) = e3)
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | BETA: splitting (83) gives:
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | Case 1:
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | |   (84)  all_56_8 = e3 & op(e1, e1) = e3
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | ALPHA: (84) implies:
% 185.48/29.98  | | | | | | | | | | |   (85)  op(e1, e1) = e3
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | REF_CLOSE: (2), (6), (13), (14), (16), (19), (21), (22),
% 185.48/29.98  | | | | | | | | | | |            (26), (28), (85) are inconsistent by sub-proof
% 185.48/29.98  | | | | | | | | | | |            #799.
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | Case 2:
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | |   (86)  all_56_14 = e3 & op(e0, e1) = e3
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | ALPHA: (86) implies:
% 185.48/29.98  | | | | | | | | | | |   (87)  all_56_14 = e3
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | REF_CLOSE: (1), (13), (15), (16), (22), (28), (29), (42),
% 185.48/29.98  | | | | | | | | | | |            (48), (87) are inconsistent by sub-proof #1509.
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | End of split
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | End of split
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | Case 2:
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | |   (88)  all_56_5 = e0 & op(e2, e1) = e0
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | REF_CLOSE: (7), (11), (16), (88) are inconsistent by sub-proof
% 185.48/29.98  | | | | | | | | |            #1476.
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | End of split
% 185.48/29.98  | | | | | | | | 
% 185.48/29.98  | | | | | | | Case 2:
% 185.48/29.98  | | | | | | | | 
% 185.48/29.98  | | | | | | | |   (89)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 &
% 185.48/29.98  | | | | | | | |           op(e0, e1) = e0)
% 185.48/29.98  | | | | | | | | 
% 185.48/29.98  | | | | | | | | REF_CLOSE: (6), (13), (16), (33), (56), (89) are inconsistent by
% 185.48/29.98  | | | | | | | |            sub-proof #596.
% 185.48/29.98  | | | | | | | | 
% 185.48/29.98  | | | | | | | End of split
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | Case 2:
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | |   (90)  all_56_15 = e2 & op(e0, e0) = e2
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | | ALPHA: (90) implies:
% 185.48/29.98  | | | | | | |   (91)  op(e0, e0) = e2
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | | REF_CLOSE: (1), (15), (16), (91) are inconsistent by sub-proof
% 185.48/29.98  | | | | | | |            #1511.
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | End of split
% 185.48/29.98  | | | | | | 
% 185.48/29.98  | | | | | End of split
% 185.48/29.98  | | | | | 
% 185.48/29.98  | | | | End of split
% 185.48/29.98  | | | | 
% 185.48/29.98  | | | Case 2:
% 185.48/29.98  | | | | 
% 185.48/29.98  | | | |   (92)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 185.48/29.98  | | | |             e0) = e1)
% 185.48/29.98  | | | | 
% 185.48/29.98  | | | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (11), (13), (14), (16), (17),
% 185.48/29.98  | | | |            (22), (24), (28), (33), (92) are inconsistent by sub-proof
% 185.48/29.98  | | | |            #595.
% 185.48/29.98  | | | | 
% 185.48/29.98  | | | End of split
% 185.48/29.98  | | | 
% 185.48/29.98  | | End of split
% 185.48/29.98  | | 
% 185.48/29.98  | End of split
% 185.48/29.98  | 
% 185.48/29.98  End of proof
% 185.48/29.98  
% 185.48/29.98  Sub-proof #595 shows that the following formulas are inconsistent:
% 185.48/29.98  ----------------------------------------------------------------
% 185.48/29.98    (1)  op(e0, e0) = all_6_2
% 185.48/29.98    (2)   ~ (all_6_2 = e1)
% 185.48/29.98    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.98         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.98    (4)   ~ (e1 = e0)
% 185.48/29.98    (5)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.48/29.98    (6)   ~ (all_52_9 = e0)
% 185.48/29.98    (7)   ~ (e3 = e0)
% 185.48/29.98    (8)  op(e2, e1) = all_52_9
% 185.48/29.98    (9)   ~ (e2 = e0)
% 185.48/29.98    (10)   ~ (e3 = e1)
% 185.48/29.98    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.98            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.98    (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.98          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.98    (13)   ~ (e3 = e2)
% 185.48/29.98    (14)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.98          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.98    (15)   ~ (e2 = e1)
% 185.48/29.98    (16)  op(e1, e1) = e1
% 185.48/29.98  
% 185.48/29.98  Begin of proof
% 185.48/29.98  | 
% 185.48/29.98  | BETA: splitting (5) gives:
% 185.48/29.98  | 
% 185.48/29.98  | Case 1:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (17)  all_56_14 = e1 & op(e0, e1) = e1
% 185.48/29.98  | | 
% 185.48/29.98  | | ALPHA: (17) implies:
% 185.48/29.98  | |   (18)  all_56_14 = e1
% 185.48/29.98  | | 
% 185.48/29.98  | | REF_CLOSE: (3), (4), (6), (7), (8), (9), (10), (11), (12), (13), (14), (15),
% 185.48/29.98  | |            (16), (18) are inconsistent by sub-proof #599.
% 185.48/29.98  | | 
% 185.48/29.98  | Case 2:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (19)  all_56_15 = e1 & op(e0, e0) = e1
% 185.48/29.98  | | 
% 185.48/29.98  | | ALPHA: (19) implies:
% 185.48/29.98  | |   (20)  op(e0, e0) = e1
% 185.48/29.98  | | 
% 185.48/29.98  | | REF_CLOSE: (1), (2), (11), (20) are inconsistent by sub-proof #1516.
% 185.48/29.98  | | 
% 185.48/29.98  | End of split
% 185.48/29.98  | 
% 185.48/29.98  End of proof
% 185.48/29.98  
% 185.48/29.98  Sub-proof #596 shows that the following formulas are inconsistent:
% 185.48/29.98  ----------------------------------------------------------------
% 185.48/29.98    (1)   ~ (e1 = e0)
% 185.48/29.98    (2)   ~ (e2 = e0)
% 185.48/29.98    (3)  all_56_14 = e2
% 185.48/29.98    (4)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.98    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.98           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.98    (6)  op(e1, e1) = e1
% 185.48/29.98  
% 185.48/29.98  Begin of proof
% 185.48/29.98  | 
% 185.48/29.98  | BETA: splitting (4) gives:
% 185.48/29.98  | 
% 185.48/29.98  | Case 1:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (7)  all_56_8 = e0 & op(e1, e1) = e0
% 185.48/29.98  | | 
% 185.48/29.98  | | ALPHA: (7) implies:
% 185.48/29.98  | |   (8)  op(e1, e1) = e0
% 185.48/29.98  | | 
% 185.48/29.98  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1619.
% 185.48/29.98  | | 
% 185.48/29.98  | Case 2:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (9)  all_56_14 = e0 & op(e0, e1) = e0
% 185.48/29.98  | | 
% 185.48/29.98  | | REF_CLOSE: (2), (3), (9) are inconsistent by sub-proof #1443.
% 185.48/29.98  | | 
% 185.48/29.98  | End of split
% 185.48/29.98  | 
% 185.48/29.98  End of proof
% 185.48/29.98  
% 185.48/29.98  Sub-proof #597 shows that the following formulas are inconsistent:
% 185.48/29.98  ----------------------------------------------------------------
% 185.48/29.98    (1)  all_56_2 = e1
% 185.48/29.98    (2)  all_56_2 = e2
% 185.48/29.98    (3)  all_56_5 = e3
% 185.48/29.98    (4)   ~ (e2 = e0)
% 185.48/29.98    (5)  all_56_14 = e2
% 185.48/29.98    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.98           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.98    (7)   ~ (e3 = e2)
% 185.48/29.98    (8)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.98         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.98    (9)  all_56_4 = e0
% 185.48/29.98    (10)   ~ (e2 = e1)
% 185.48/29.98    (11)  op(e1, e1) = e1
% 185.48/29.98  
% 185.48/29.98  Begin of proof
% 185.48/29.98  | 
% 185.48/29.98  | COMBINE_EQS: (1), (2) imply:
% 185.48/29.98  |   (12)  e2 = e1
% 185.48/29.98  | 
% 185.48/29.98  | SIMP: (12) implies:
% 185.48/29.98  |   (13)  e2 = e1
% 185.48/29.98  | 
% 185.48/29.98  | COMBINE_EQS: (5), (13) imply:
% 185.48/29.98  |   (14)  all_56_14 = e1
% 185.48/29.98  | 
% 185.48/29.98  | REF_CLOSE: (3), (4), (6), (7), (8), (9), (10), (11), (14) are inconsistent by
% 185.48/29.98  |            sub-proof #681.
% 185.48/29.98  | 
% 185.48/29.98  End of proof
% 185.48/29.98  
% 185.48/29.98  Sub-proof #598 shows that the following formulas are inconsistent:
% 185.48/29.98  ----------------------------------------------------------------
% 185.48/29.98    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.48/29.98         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.48/29.98    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.98         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.98    (3)   ~ (e1 = e0)
% 185.48/29.98    (4)   ~ (all_52_9 = e0)
% 185.48/29.98    (5)   ~ (e3 = e0)
% 185.48/29.98    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.98         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.98    (7)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.48/29.98         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.48/29.98    (8)  op(e2, e1) = all_52_9
% 185.48/29.98    (9)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.98         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.48/29.98    (10)  all_56_2 = e0
% 185.48/29.98    (11)   ~ (e2 = e0)
% 185.48/29.98    (12)   ~ (e3 = e1)
% 185.48/29.98    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.98            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.98    (14)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.98          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.98    (15)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.98          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.98    (16)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.98          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.98    (17)  all_56_6 = e3
% 185.48/29.98    (18)   ~ (e3 = e2)
% 185.48/29.98    (19)  op(e3, e3) = all_4_2
% 185.48/29.98    (20)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.98          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.98    (21)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.98          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.98    (22)  all_56_11 = e0
% 185.48/29.98    (23)  op(e3, e3) = e3
% 185.48/29.98    (24)   ~ (e2 = e1)
% 185.48/29.98    (25)  op(e2, e2) = e0
% 185.48/29.98    (26)   ~ (all_4_2 = e1)
% 185.48/29.98    (27)  op(e1, e1) = e1
% 185.48/29.98  
% 185.48/29.98  Begin of proof
% 185.48/29.98  | 
% 185.48/29.98  | BETA: splitting (9) gives:
% 185.48/29.98  | 
% 185.48/29.98  | Case 1:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (28)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 185.48/29.98  | |           e1)
% 185.48/29.98  | | 
% 185.48/29.98  | | REF_CLOSE: (3), (10), (13), (25), (28) are inconsistent by sub-proof #607.
% 185.48/29.98  | | 
% 185.48/29.98  | Case 2:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (29)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 185.48/29.98  | |           e1)
% 185.48/29.98  | | 
% 185.48/29.98  | | BETA: splitting (29) gives:
% 185.48/29.98  | | 
% 185.48/29.98  | | Case 1:
% 185.48/29.98  | | | 
% 185.48/29.98  | | |   (30)  all_56_5 = e1 & op(e2, e1) = e1
% 185.48/29.98  | | | 
% 185.48/29.98  | | | ALPHA: (30) implies:
% 185.48/29.98  | | |   (31)  op(e2, e1) = e1
% 185.48/29.98  | | | 
% 185.48/29.98  | | | REF_CLOSE: (5), (10), (11), (12), (13), (15), (18), (21), (24), (25), (31)
% 185.48/29.98  | | |            are inconsistent by sub-proof #603.
% 185.48/29.98  | | | 
% 185.48/29.98  | | Case 2:
% 185.48/29.98  | | | 
% 185.48/29.98  | | |   (32)  all_56_10 = e1 & op(e2, e0) = e1
% 185.48/29.98  | | | 
% 185.48/29.98  | | | ALPHA: (32) implies:
% 185.48/29.98  | | |   (33)  all_56_10 = e1
% 185.48/29.98  | | | 
% 185.48/29.98  | | | BETA: splitting (15) gives:
% 185.48/29.98  | | | 
% 185.48/29.98  | | | Case 1:
% 185.48/29.98  | | | | 
% 185.48/29.98  | | | |   (34)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2)
% 185.48/29.98  | | | |           = e2)
% 185.48/29.98  | | | | 
% 185.48/29.98  | | | | REF_CLOSE: (10), (11), (13), (25), (34) are inconsistent by sub-proof
% 185.48/29.98  | | | |            #606.
% 185.48/29.98  | | | | 
% 185.48/29.98  | | | Case 2:
% 185.48/29.98  | | | | 
% 185.48/29.98  | | | |   (35)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0)
% 185.48/29.98  | | | |           = e2)
% 185.48/29.98  | | | | 
% 185.48/29.98  | | | | BETA: splitting (35) gives:
% 185.48/29.98  | | | | 
% 185.48/29.98  | | | | Case 1:
% 185.48/29.98  | | | | | 
% 185.48/29.98  | | | | |   (36)  all_56_5 = e2 & op(e2, e1) = e2
% 185.48/29.98  | | | | | 
% 185.48/29.98  | | | | | ALPHA: (36) implies:
% 185.48/29.98  | | | | |   (37)  all_56_5 = e2
% 185.48/29.98  | | | | | 
% 185.48/29.98  | | | | | BETA: splitting (6) gives:
% 185.48/29.98  | | | | | 
% 185.48/29.98  | | | | | Case 1:
% 185.48/29.98  | | | | | | 
% 185.48/29.98  | | | | | |   (38)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2,
% 185.48/29.98  | | | | | |             e3) = e2)
% 185.48/29.98  | | | | | | 
% 185.48/29.98  | | | | | | BETA: splitting (38) gives:
% 185.48/29.98  | | | | | | 
% 185.48/29.98  | | | | | | Case 1:
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | |   (39)  all_56_0 = e2 & op(e3, e3) = e2
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | | ALPHA: (39) implies:
% 185.48/29.98  | | | | | | |   (40)  op(e3, e3) = e2
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | | REF_CLOSE: (13), (18), (23), (40) are inconsistent by sub-proof
% 185.48/29.98  | | | | | | |            #1594.
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | Case 2:
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | |   (41)  all_56_2 = e2 & op(e2, e3) = e2
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | | ALPHA: (41) implies:
% 185.48/29.98  | | | | | | |   (42)  all_56_2 = e2
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | | REF_CLOSE: (10), (11), (42) are inconsistent by sub-proof #1196.
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | End of split
% 185.48/29.98  | | | | | | 
% 185.48/29.98  | | | | | Case 2:
% 185.48/29.98  | | | | | | 
% 185.48/29.98  | | | | | |   (43)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0,
% 185.48/29.98  | | | | | |             e3) = e2)
% 185.48/29.98  | | | | | | 
% 185.48/29.98  | | | | | | BETA: splitting (43) gives:
% 185.48/29.98  | | | | | | 
% 185.48/29.98  | | | | | | Case 1:
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | |   (44)  all_56_6 = e2 & op(e1, e3) = e2
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | | REF_CLOSE: (17), (18), (44) are inconsistent by sub-proof #1232.
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | Case 2:
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | |   (45)  all_56_12 = e2 & op(e0, e3) = e2
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | | ALPHA: (45) implies:
% 185.48/29.98  | | | | | | |   (46)  all_56_12 = e2
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | | BETA: splitting (2) gives:
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | | Case 1:
% 185.48/29.98  | | | | | | | | 
% 185.48/29.98  | | | | | | | |   (47)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 &
% 185.48/29.98  | | | | | | | |           op(e2, e1) = e3)
% 185.48/29.98  | | | | | | | | 
% 185.48/29.98  | | | | | | | | BETA: splitting (47) gives:
% 185.48/29.98  | | | | | | | | 
% 185.48/29.98  | | | | | | | | Case 1:
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | |   (48)  all_56_4 = e3 & op(e3, e1) = e3
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | ALPHA: (48) implies:
% 185.48/29.98  | | | | | | | | |   (49)  all_56_4 = e3
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | BETA: splitting (7) gives:
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | Case 1:
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | |   (50)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 &
% 185.48/29.98  | | | | | | | | | |           op(e2, e3) = e1)
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | REF_CLOSE: (3), (10), (13), (19), (26), (50) are inconsistent
% 185.48/29.98  | | | | | | | | | |            by sub-proof #602.
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | Case 2:
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | |   (51)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1
% 185.48/29.98  | | | | | | | | | |           & op(e0, e3) = e1)
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | BETA: splitting (51) gives:
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | Case 1:
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | |   (52)  all_56_6 = e1 & op(e1, e3) = e1
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | ALPHA: (52) implies:
% 185.48/29.98  | | | | | | | | | | |   (53)  all_56_6 = e1
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | COMBINE_EQS: (17), (53) imply:
% 185.48/29.98  | | | | | | | | | | |   (54)  e3 = e1
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | SIMP: (54) implies:
% 185.48/29.98  | | | | | | | | | | |   (55)  e3 = e1
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | COMBINE_EQS: (49), (55) imply:
% 185.48/29.98  | | | | | | | | | | |   (56)  all_56_4 = e1
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (8), (11), (12), (13), (14),
% 185.48/29.98  | | | | | | | | | | |            (18), (20), (24), (27), (56) are inconsistent by
% 185.48/29.98  | | | | | | | | | | |            sub-proof #1467.
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | Case 2:
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | |   (57)  all_56_12 = e1 & op(e0, e3) = e1
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | ALPHA: (57) implies:
% 185.48/29.98  | | | | | | | | | | |   (58)  all_56_12 = e1
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | REF_CLOSE: (24), (46), (58) are inconsistent by sub-proof
% 185.48/29.98  | | | | | | | | | | |            #1383.
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | End of split
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | End of split
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | Case 2:
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | |   (59)  all_56_5 = e3 & op(e2, e1) = e3
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | ALPHA: (59) implies:
% 185.48/29.98  | | | | | | | | |   (60)  all_56_5 = e3
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | REF_CLOSE: (18), (37), (60) are inconsistent by sub-proof
% 185.48/29.98  | | | | | | | | |            #936.
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | End of split
% 185.48/29.98  | | | | | | | | 
% 185.48/29.98  | | | | | | | Case 2:
% 185.48/29.98  | | | | | | | | 
% 185.48/29.98  | | | | | | | |   (61)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 &
% 185.48/29.98  | | | | | | | |           op(e0, e1) = e3)
% 185.48/29.98  | | | | | | | | 
% 185.48/29.98  | | | | | | | | BETA: splitting (61) gives:
% 185.48/29.98  | | | | | | | | 
% 185.48/29.98  | | | | | | | | Case 1:
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | |   (62)  all_56_8 = e3 & op(e1, e1) = e3
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | ALPHA: (62) implies:
% 185.48/29.98  | | | | | | | | |   (63)  op(e1, e1) = e3
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | REF_CLOSE: (1), (3), (11), (12), (13), (16), (17), (18), (22),
% 185.48/29.98  | | | | | | | | |            (24), (63) are inconsistent by sub-proof #799.
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | Case 2:
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | |   (64)  all_56_14 = e3 & op(e0, e1) = e3
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | ALPHA: (64) implies:
% 185.48/29.98  | | | | | | | | |   (65)  all_56_14 = e3
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | BETA: splitting (7) gives:
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | Case 1:
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | |   (66)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 &
% 185.48/29.98  | | | | | | | | | |           op(e2, e3) = e1)
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | REF_CLOSE: (3), (10), (13), (19), (26), (66) are inconsistent
% 185.48/29.98  | | | | | | | | | |            by sub-proof #602.
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | Case 2:
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | |   (67)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1
% 185.48/29.98  | | | | | | | | | |           & op(e0, e3) = e1)
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | BETA: splitting (67) gives:
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | Case 1:
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | |   (68)  all_56_6 = e1 & op(e1, e3) = e1
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | ALPHA: (68) implies:
% 185.48/29.98  | | | | | | | | | | |   (69)  all_56_6 = e1
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | COMBINE_EQS: (17), (69) imply:
% 185.48/29.98  | | | | | | | | | | |   (70)  e3 = e1
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | SIMP: (70) implies:
% 185.48/29.98  | | | | | | | | | | |   (71)  e3 = e1
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | COMBINE_EQS: (65), (71) imply:
% 185.48/29.98  | | | | | | | | | | |   (72)  all_56_14 = e1
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (8), (11), (12), (13), (14),
% 185.48/29.98  | | | | | | | | | | |            (18), (20), (24), (27), (72) are inconsistent by
% 185.48/29.98  | | | | | | | | | | |            sub-proof #599.
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | Case 2:
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | |   (73)  all_56_12 = e1 & op(e0, e3) = e1
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | ALPHA: (73) implies:
% 185.48/29.98  | | | | | | | | | | |   (74)  all_56_12 = e1
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | | REF_CLOSE: (24), (46), (74) are inconsistent by sub-proof
% 185.48/29.98  | | | | | | | | | | |            #1383.
% 185.48/29.98  | | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | | End of split
% 185.48/29.98  | | | | | | | | | | 
% 185.48/29.98  | | | | | | | | | End of split
% 185.48/29.98  | | | | | | | | | 
% 185.48/29.98  | | | | | | | | End of split
% 185.48/29.98  | | | | | | | | 
% 185.48/29.98  | | | | | | | End of split
% 185.48/29.98  | | | | | | | 
% 185.48/29.98  | | | | | | End of split
% 185.48/29.98  | | | | | | 
% 185.48/29.98  | | | | | End of split
% 185.48/29.98  | | | | | 
% 185.48/29.98  | | | | Case 2:
% 185.48/29.98  | | | | | 
% 185.48/29.98  | | | | |   (75)  all_56_10 = e2 & op(e2, e0) = e2
% 185.48/29.98  | | | | | 
% 185.48/29.98  | | | | | ALPHA: (75) implies:
% 185.48/29.98  | | | | |   (76)  all_56_10 = e2
% 185.48/29.98  | | | | | 
% 185.48/29.98  | | | | | REF_CLOSE: (24), (33), (76) are inconsistent by sub-proof #1064.
% 185.48/29.98  | | | | | 
% 185.48/29.98  | | | | End of split
% 185.48/29.98  | | | | 
% 185.48/29.98  | | | End of split
% 185.48/29.98  | | | 
% 185.48/29.98  | | End of split
% 185.48/29.98  | | 
% 185.48/29.98  | End of split
% 185.48/29.98  | 
% 185.48/29.98  End of proof
% 185.48/29.98  
% 185.48/29.98  Sub-proof #599 shows that the following formulas are inconsistent:
% 185.48/29.98  ----------------------------------------------------------------
% 185.48/29.98    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.98         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.98    (2)   ~ (e1 = e0)
% 185.48/29.98    (3)   ~ (all_52_9 = e0)
% 185.48/29.98    (4)   ~ (e3 = e0)
% 185.48/29.98    (5)  op(e2, e1) = all_52_9
% 185.48/29.98    (6)   ~ (e2 = e0)
% 185.48/29.98    (7)   ~ (e3 = e1)
% 185.48/29.98    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.98           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.98    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.98         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.98    (10)  all_56_14 = e1
% 185.48/29.98    (11)   ~ (e3 = e2)
% 185.48/29.98    (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.98          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.98    (13)   ~ (e2 = e1)
% 185.48/29.98    (14)  op(e1, e1) = e1
% 185.48/29.98  
% 185.48/29.98  Begin of proof
% 185.48/29.98  | 
% 185.48/29.98  | BETA: splitting (9) gives:
% 185.48/29.98  | 
% 185.48/29.98  | Case 1:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (15)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 185.48/29.98  | |           e0)
% 185.48/29.98  | | 
% 185.48/29.98  | | BETA: splitting (15) gives:
% 185.48/29.98  | | 
% 185.48/29.98  | | Case 1:
% 185.48/29.98  | | | 
% 185.48/29.98  | | |   (16)  all_56_4 = e0 & op(e3, e1) = e0
% 185.48/29.98  | | | 
% 185.48/29.98  | | | ALPHA: (16) implies:
% 185.48/29.98  | | |   (17)  all_56_4 = e0
% 185.48/29.98  | | | 
% 185.48/29.98  | | | REF_CLOSE: (1), (4), (6), (7), (8), (10), (11), (12), (13), (14), (17) are
% 185.48/29.98  | | |            inconsistent by sub-proof #601.
% 185.48/29.98  | | | 
% 185.48/29.98  | | Case 2:
% 185.48/29.98  | | | 
% 185.48/29.98  | | |   (18)  all_56_5 = e0 & op(e2, e1) = e0
% 185.48/29.98  | | | 
% 185.48/29.98  | | | REF_CLOSE: (3), (5), (8), (18) are inconsistent by sub-proof #1476.
% 185.48/29.98  | | | 
% 185.48/29.98  | | End of split
% 185.48/29.98  | | 
% 185.48/29.98  | Case 2:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (19)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.48/29.98  | |           e0)
% 185.48/29.98  | | 
% 185.48/29.98  | | BETA: splitting (19) gives:
% 185.48/29.98  | | 
% 185.48/29.98  | | Case 1:
% 185.48/29.98  | | | 
% 185.48/29.98  | | |   (20)  all_56_8 = e0 & op(e1, e1) = e0
% 185.48/29.98  | | | 
% 185.48/29.98  | | | ALPHA: (20) implies:
% 185.48/29.98  | | |   (21)  op(e1, e1) = e0
% 185.48/29.98  | | | 
% 185.48/29.98  | | | REF_CLOSE: (2), (8), (14), (21) are inconsistent by sub-proof #1619.
% 185.48/29.98  | | | 
% 185.48/29.98  | | Case 2:
% 185.48/29.98  | | | 
% 185.48/29.98  | | |   (22)  all_56_14 = e0 & op(e0, e1) = e0
% 185.48/29.98  | | | 
% 185.48/29.98  | | | REF_CLOSE: (2), (10), (22) are inconsistent by sub-proof #600.
% 185.48/29.98  | | | 
% 185.48/29.98  | | End of split
% 185.48/29.98  | | 
% 185.48/29.98  | End of split
% 185.48/29.98  | 
% 185.48/29.98  End of proof
% 185.48/29.98  
% 185.48/29.98  Sub-proof #600 shows that the following formulas are inconsistent:
% 185.48/29.98  ----------------------------------------------------------------
% 185.48/29.98    (1)  all_56_14 = e0 & op(e0, e1) = e0
% 185.48/29.98    (2)  all_56_14 = e1
% 185.48/29.98    (3)   ~ (e1 = e0)
% 185.48/29.98  
% 185.48/29.98  Begin of proof
% 185.48/29.98  | 
% 185.48/29.98  | ALPHA: (1) implies:
% 185.48/29.98  |   (4)  all_56_14 = e0
% 185.48/29.98  | 
% 185.48/29.98  | COMBINE_EQS: (2), (4) imply:
% 185.48/29.98  |   (5)  e1 = e0
% 185.48/29.98  | 
% 185.48/29.98  | REDUCE: (3), (5) imply:
% 185.48/29.98  |   (6)  $false
% 185.48/29.98  | 
% 185.48/29.98  | CLOSE: (6) is inconsistent.
% 185.48/29.98  | 
% 185.48/29.98  End of proof
% 185.48/29.98  
% 185.48/29.98  Sub-proof #601 shows that the following formulas are inconsistent:
% 185.48/29.98  ----------------------------------------------------------------
% 185.48/29.98    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.98         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.98    (2)   ~ (e3 = e0)
% 185.48/29.98    (3)   ~ (e2 = e0)
% 185.48/29.98    (4)   ~ (e3 = e1)
% 185.48/29.98    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.98           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.98    (6)  all_56_14 = e1
% 185.48/29.98    (7)   ~ (e3 = e2)
% 185.48/29.98    (8)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.48/29.98         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.48/29.98    (9)  all_56_4 = e0
% 185.48/29.98    (10)   ~ (e2 = e1)
% 185.48/29.98    (11)  op(e1, e1) = e1
% 185.48/29.98  
% 185.48/29.98  Begin of proof
% 185.48/29.98  | 
% 185.48/29.98  | BETA: splitting (1) gives:
% 185.48/29.98  | 
% 185.48/29.98  | Case 1:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (12)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 185.48/29.98  | |           e3)
% 185.48/29.98  | | 
% 185.48/29.98  | | BETA: splitting (12) gives:
% 185.48/29.98  | | 
% 185.48/29.98  | | Case 1:
% 185.48/29.98  | | | 
% 185.48/29.98  | | |   (13)  all_56_4 = e3 & op(e3, e1) = e3
% 185.48/29.98  | | | 
% 185.48/29.98  | | | REF_CLOSE: (2), (9), (13) are inconsistent by sub-proof #910.
% 185.48/29.98  | | | 
% 185.48/29.98  | | Case 2:
% 185.48/29.98  | | | 
% 185.48/29.98  | | |   (14)  all_56_5 = e3 & op(e2, e1) = e3
% 185.48/29.98  | | | 
% 185.48/29.98  | | | ALPHA: (14) implies:
% 185.48/29.98  | | |   (15)  all_56_5 = e3
% 185.48/29.98  | | | 
% 185.48/29.98  | | | REF_CLOSE: (3), (5), (6), (7), (8), (9), (10), (11), (15) are inconsistent
% 185.48/29.98  | | |            by sub-proof #681.
% 185.48/29.98  | | | 
% 185.48/29.98  | | End of split
% 185.48/29.98  | | 
% 185.48/29.98  | Case 2:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (16)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 185.48/29.98  | |           e3)
% 185.48/29.98  | | 
% 185.48/29.98  | | BETA: splitting (16) gives:
% 185.48/29.98  | | 
% 185.48/29.98  | | Case 1:
% 185.48/29.98  | | | 
% 185.48/29.98  | | |   (17)  all_56_8 = e3 & op(e1, e1) = e3
% 185.48/29.98  | | | 
% 185.48/29.98  | | | ALPHA: (17) implies:
% 185.48/29.98  | | |   (18)  op(e1, e1) = e3
% 185.48/29.98  | | | 
% 185.48/29.98  | | | REF_CLOSE: (4), (5), (11), (18) are inconsistent by sub-proof #1541.
% 185.48/29.98  | | | 
% 185.48/29.98  | | Case 2:
% 185.48/29.98  | | | 
% 185.48/29.98  | | |   (19)  all_56_14 = e3 & op(e0, e1) = e3
% 185.48/29.98  | | | 
% 185.48/29.98  | | | ALPHA: (19) implies:
% 185.48/29.98  | | |   (20)  all_56_14 = e3
% 185.48/29.98  | | | 
% 185.48/29.98  | | | REF_CLOSE: (4), (6), (20) are inconsistent by sub-proof #1508.
% 185.48/29.98  | | | 
% 185.48/29.98  | | End of split
% 185.48/29.98  | | 
% 185.48/29.98  | End of split
% 185.48/29.98  | 
% 185.48/29.98  End of proof
% 185.48/29.98  
% 185.48/29.98  Sub-proof #602 shows that the following formulas are inconsistent:
% 185.48/29.98  ----------------------------------------------------------------
% 185.48/29.98    (1)   ~ (e1 = e0)
% 185.48/29.98    (2)  all_56_2 = e0
% 185.48/29.98    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.98           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.98    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 185.48/29.98    (5)  op(e3, e3) = all_4_2
% 185.48/29.98    (6)   ~ (all_4_2 = e1)
% 185.48/29.98  
% 185.48/29.98  Begin of proof
% 185.48/29.98  | 
% 185.48/29.98  | BETA: splitting (4) gives:
% 185.48/29.98  | 
% 185.48/29.98  | Case 1:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 185.48/29.98  | | 
% 185.48/29.98  | | ALPHA: (7) implies:
% 185.48/29.98  | |   (8)  op(e3, e3) = e1
% 185.48/29.98  | | 
% 185.48/29.98  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1525.
% 185.48/29.98  | | 
% 185.48/29.98  | Case 2:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (9)  all_56_2 = e1 & op(e2, e3) = e1
% 185.48/29.98  | | 
% 185.48/29.98  | | ALPHA: (9) implies:
% 185.48/29.98  | |   (10)  all_56_2 = e1
% 185.48/29.98  | | 
% 185.48/29.98  | | REF_CLOSE: (1), (2), (10) are inconsistent by sub-proof #1535.
% 185.48/29.98  | | 
% 185.48/29.98  | End of split
% 185.48/29.98  | 
% 185.48/29.98  End of proof
% 185.48/29.98  
% 185.48/29.98  Sub-proof #603 shows that the following formulas are inconsistent:
% 185.48/29.98  ----------------------------------------------------------------
% 185.48/29.98    (1)   ~ (e3 = e0)
% 185.48/29.98    (2)  op(e2, e1) = e1
% 185.48/29.98    (3)  all_56_2 = e0
% 185.48/29.98    (4)   ~ (e2 = e0)
% 185.48/29.98    (5)   ~ (e3 = e1)
% 185.48/29.98    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.98           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.98    (7)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.98         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.98    (8)   ~ (e3 = e2)
% 185.48/29.98    (9)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.98         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.98    (10)   ~ (e2 = e1)
% 185.48/29.98    (11)  op(e2, e2) = e0
% 185.48/29.98  
% 185.48/29.98  Begin of proof
% 185.48/29.98  | 
% 185.48/29.98  | BETA: splitting (7) gives:
% 185.48/29.98  | 
% 185.48/29.98  | Case 1:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (12)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 185.48/29.98  | |           e2)
% 185.48/29.98  | | 
% 185.48/29.98  | | REF_CLOSE: (3), (4), (6), (11), (12) are inconsistent by sub-proof #606.
% 185.48/29.98  | | 
% 185.48/29.98  | Case 2:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (13)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 185.48/29.98  | |           e2)
% 185.48/29.98  | | 
% 185.48/29.98  | | BETA: splitting (13) gives:
% 185.48/29.98  | | 
% 185.48/29.98  | | Case 1:
% 185.48/29.98  | | | 
% 185.48/29.98  | | |   (14)  all_56_5 = e2 & op(e2, e1) = e2
% 185.48/29.98  | | | 
% 185.48/29.98  | | | ALPHA: (14) implies:
% 185.48/29.98  | | |   (15)  op(e2, e1) = e2
% 185.48/29.98  | | | 
% 185.48/29.98  | | | REF_CLOSE: (2), (6), (10), (15) are inconsistent by sub-proof #1148.
% 185.48/29.98  | | | 
% 185.48/29.98  | | Case 2:
% 185.48/29.98  | | | 
% 185.48/29.98  | | |   (16)  all_56_10 = e2 & op(e2, e0) = e2
% 185.48/29.98  | | | 
% 185.48/29.98  | | | ALPHA: (16) implies:
% 185.48/29.98  | | |   (17)  all_56_10 = e2
% 185.48/29.98  | | | 
% 185.48/29.98  | | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (9), (11), (17) are inconsistent
% 185.48/29.98  | | |            by sub-proof #604.
% 185.48/29.98  | | | 
% 185.48/29.98  | | End of split
% 185.48/29.98  | | 
% 185.48/29.98  | End of split
% 185.48/29.98  | 
% 185.48/29.98  End of proof
% 185.48/29.98  
% 185.48/29.98  Sub-proof #604 shows that the following formulas are inconsistent:
% 185.48/29.98  ----------------------------------------------------------------
% 185.48/29.98    (1)  all_56_10 = e2
% 185.48/29.98    (2)   ~ (e3 = e0)
% 185.48/29.98    (3)  op(e2, e1) = e1
% 185.48/29.98    (4)  all_56_2 = e0
% 185.48/29.98    (5)   ~ (e3 = e1)
% 185.48/29.98    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.98           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.98    (7)   ~ (e3 = e2)
% 185.48/29.98    (8)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.98         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.98    (9)  op(e2, e2) = e0
% 185.48/29.98  
% 185.48/29.98  Begin of proof
% 185.48/29.98  | 
% 185.48/29.98  | BETA: splitting (8) gives:
% 185.48/29.98  | 
% 185.48/29.98  | Case 1:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (10)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 185.48/29.98  | |           e3)
% 185.48/29.98  | | 
% 185.48/29.98  | | REF_CLOSE: (2), (4), (6), (9), (10) are inconsistent by sub-proof #605.
% 185.48/29.98  | | 
% 185.48/29.98  | Case 2:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (11)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.48/29.98  | |           e3)
% 185.48/29.98  | | 
% 185.48/29.98  | | REF_CLOSE: (1), (3), (5), (6), (7), (11) are inconsistent by sub-proof #630.
% 185.48/29.98  | | 
% 185.48/29.98  | End of split
% 185.48/29.98  | 
% 185.48/29.98  End of proof
% 185.48/29.98  
% 185.48/29.98  Sub-proof #605 shows that the following formulas are inconsistent:
% 185.48/29.98  ----------------------------------------------------------------
% 185.48/29.98    (1)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 185.48/29.98    (2)   ~ (e3 = e0)
% 185.48/29.98    (3)  all_56_2 = e0
% 185.48/29.98    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.98           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.98    (5)  op(e2, e2) = e0
% 185.48/29.98  
% 185.48/29.98  Begin of proof
% 185.48/29.98  | 
% 185.48/29.98  | BETA: splitting (1) gives:
% 185.48/29.98  | 
% 185.48/29.98  | Case 1:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (6)  all_56_2 = e3 & op(e2, e3) = e3
% 185.48/29.98  | | 
% 185.48/29.98  | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #868.
% 185.48/29.98  | | 
% 185.48/29.98  | Case 2:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (7)  all_56_3 = e3 & op(e2, e2) = e3
% 185.48/29.98  | | 
% 185.48/29.98  | | ALPHA: (7) implies:
% 185.48/29.98  | |   (8)  op(e2, e2) = e3
% 185.48/29.98  | | 
% 185.48/29.98  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1015.
% 185.48/29.98  | | 
% 185.48/29.98  | End of split
% 185.48/29.98  | 
% 185.48/29.98  End of proof
% 185.48/29.98  
% 185.48/29.98  Sub-proof #606 shows that the following formulas are inconsistent:
% 185.48/29.98  ----------------------------------------------------------------
% 185.48/29.98    (1)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 185.48/29.98    (2)  all_56_2 = e0
% 185.48/29.98    (3)   ~ (e2 = e0)
% 185.48/29.98    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.98           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.98    (5)  op(e2, e2) = e0
% 185.48/29.98  
% 185.48/29.98  Begin of proof
% 185.48/29.98  | 
% 185.48/29.98  | BETA: splitting (1) gives:
% 185.48/29.98  | 
% 185.48/29.98  | Case 1:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (6)  all_56_2 = e2 & op(e2, e3) = e2
% 185.48/29.98  | | 
% 185.48/29.98  | | ALPHA: (6) implies:
% 185.48/29.98  | |   (7)  all_56_2 = e2
% 185.48/29.98  | | 
% 185.48/29.98  | | REF_CLOSE: (2), (3), (7) are inconsistent by sub-proof #1196.
% 185.48/29.98  | | 
% 185.48/29.98  | Case 2:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (8)  all_56_3 = e2 & op(e2, e2) = e2
% 185.48/29.98  | | 
% 185.48/29.98  | | ALPHA: (8) implies:
% 185.48/29.98  | |   (9)  op(e2, e2) = e2
% 185.48/29.98  | | 
% 185.48/29.98  | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #1586.
% 185.48/29.98  | | 
% 185.48/29.98  | End of split
% 185.48/29.98  | 
% 185.48/29.98  End of proof
% 185.48/29.98  
% 185.48/29.98  Sub-proof #607 shows that the following formulas are inconsistent:
% 185.48/29.98  ----------------------------------------------------------------
% 185.48/29.98    (1)   ~ (e1 = e0)
% 185.48/29.98    (2)  all_56_2 = e0
% 185.48/29.98    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.98           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.98    (4)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 185.48/29.98    (5)  op(e2, e2) = e0
% 185.48/29.98  
% 185.48/29.98  Begin of proof
% 185.48/29.98  | 
% 185.48/29.98  | BETA: splitting (4) gives:
% 185.48/29.98  | 
% 185.48/29.98  | Case 1:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (6)  all_56_2 = e1 & op(e2, e3) = e1
% 185.48/29.98  | | 
% 185.48/29.98  | | ALPHA: (6) implies:
% 185.48/29.98  | |   (7)  all_56_2 = e1
% 185.48/29.98  | | 
% 185.48/29.98  | | REF_CLOSE: (1), (2), (7) are inconsistent by sub-proof #1535.
% 185.48/29.98  | | 
% 185.48/29.98  | Case 2:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (8)  all_56_3 = e1 & op(e2, e2) = e1
% 185.48/29.98  | | 
% 185.48/29.98  | | ALPHA: (8) implies:
% 185.48/29.98  | |   (9)  op(e2, e2) = e1
% 185.48/29.98  | | 
% 185.48/29.98  | | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #1310.
% 185.48/29.98  | | 
% 185.48/29.98  | End of split
% 185.48/29.98  | 
% 185.48/29.98  End of proof
% 185.48/29.98  
% 185.48/29.98  Sub-proof #608 shows that the following formulas are inconsistent:
% 185.48/29.98  ----------------------------------------------------------------
% 185.48/29.98    (1)   ~ (all_4_2 = e0)
% 185.48/29.98    (2)   ~ (all_4_2 = e2)
% 185.48/29.98    (3)  all_54_0 = all_4_2
% 185.48/29.98    (4)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 185.48/29.98    (5)   ~ (e2 = e0)
% 185.48/29.98    (6)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.48/29.98    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.98           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.98    (8)  op(e3, e3) = all_4_2
% 185.48/29.98    (9)  op(e2, e2) = e0
% 185.48/29.98    (10)   ~ (all_4_2 = e1)
% 185.48/29.98  
% 185.48/29.98  Begin of proof
% 185.48/29.98  | 
% 185.48/29.98  | BETA: splitting (4) gives:
% 185.48/29.98  | 
% 185.48/29.98  | Case 1:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (11)  all_57_28 = e2 & op(e3, e3) = e2
% 185.48/29.98  | | 
% 185.48/29.98  | | ALPHA: (11) implies:
% 185.48/29.98  | |   (12)  op(e3, e3) = e2
% 185.48/29.98  | | 
% 185.48/29.98  | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (10), (12) are inconsistent by
% 185.48/29.98  | |            sub-proof #1350.
% 185.48/29.98  | | 
% 185.48/29.98  | Case 2:
% 185.48/29.98  | | 
% 185.48/29.98  | |   (13)  all_57_29 = e2 & op(e2, e2) = e2
% 185.48/29.98  | | 
% 185.48/29.98  | | ALPHA: (13) implies:
% 185.48/29.98  | |   (14)  op(e2, e2) = e2
% 185.48/29.98  | | 
% 185.48/29.98  | | REF_CLOSE: (5), (7), (9), (14) are inconsistent by sub-proof #1586.
% 185.48/29.98  | | 
% 185.48/29.98  | End of split
% 185.48/29.98  | 
% 185.48/29.98  End of proof
% 185.48/29.98  
% 185.48/29.98  Sub-proof #609 shows that the following formulas are inconsistent:
% 185.48/29.98  ----------------------------------------------------------------
% 185.48/29.98    (1)   ~ (e1 = e0)
% 185.48/29.99    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.99           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.99    (3)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 185.48/29.99    (4)  op(e3, e3) = all_4_2
% 185.48/29.99    (5)  op(e2, e2) = e0
% 185.48/29.99    (6)   ~ (all_4_2 = e1)
% 185.48/29.99  
% 185.48/29.99  Begin of proof
% 185.48/29.99  | 
% 185.48/29.99  | BETA: splitting (3) gives:
% 185.48/29.99  | 
% 185.48/29.99  | Case 1:
% 185.48/29.99  | | 
% 185.48/29.99  | |   (7)  all_57_28 = e1 & op(e3, e3) = e1
% 185.48/29.99  | | 
% 185.48/29.99  | | ALPHA: (7) implies:
% 185.48/29.99  | |   (8)  op(e3, e3) = e1
% 185.48/29.99  | | 
% 185.48/29.99  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1525.
% 185.48/29.99  | | 
% 185.48/29.99  | Case 2:
% 185.48/29.99  | | 
% 185.48/29.99  | |   (9)  all_57_29 = e1 & op(e2, e2) = e1
% 185.48/29.99  | | 
% 185.48/29.99  | | ALPHA: (9) implies:
% 185.48/29.99  | |   (10)  op(e2, e2) = e1
% 185.48/29.99  | | 
% 185.48/29.99  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1310.
% 185.48/29.99  | | 
% 185.48/29.99  | End of split
% 185.48/29.99  | 
% 185.48/29.99  End of proof
% 185.48/29.99  
% 185.48/29.99  Sub-proof #610 shows that the following formulas are inconsistent:
% 185.48/29.99  ----------------------------------------------------------------
% 185.48/29.99    (1)   ~ (all_4_2 = e0)
% 185.48/29.99    (2)   ~ (e1 = e0)
% 185.48/29.99    (3)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 185.48/29.99    (4)   ~ (e3 = e0)
% 185.48/29.99    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.99         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.99    (6)  op(e2, e2) = e3
% 185.48/29.99    (7)   ~ (e2 = e0)
% 185.48/29.99    (8)   ~ (e3 = e1)
% 185.48/29.99    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.99           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.99    (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.48/29.99          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.48/29.99    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.99          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.99    (12)   ~ (e3 = e2)
% 185.48/29.99    (13)  op(e3, e3) = e1
% 185.48/29.99    (14)  op(e3, e1) = all_52_8
% 185.48/29.99    (15)  op(e3, e3) = all_4_2
% 185.48/29.99    (16)   ~ (e2 = e1)
% 185.48/29.99  
% 185.48/29.99  Begin of proof
% 185.48/29.99  | 
% 185.48/29.99  | BETA: splitting (3) gives:
% 185.48/29.99  | 
% 185.48/29.99  | Case 1:
% 185.48/29.99  | | 
% 185.48/29.99  | |   (17)  all_56_1 = e1 & op(e3, e2) = e1
% 185.48/29.99  | | 
% 185.48/29.99  | | ALPHA: (17) implies:
% 185.48/29.99  | |   (18)  all_56_1 = e1
% 185.48/29.99  | | 
% 185.48/29.99  | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (11), (12), (13), (14),
% 185.48/29.99  | |            (15), (16), (18) are inconsistent by sub-proof #1186.
% 185.48/29.99  | | 
% 185.48/29.99  | Case 2:
% 185.48/29.99  | | 
% 185.48/29.99  | |   (19)  all_56_3 = e1 & op(e2, e2) = e1
% 185.48/29.99  | | 
% 185.48/29.99  | | ALPHA: (19) implies:
% 185.48/29.99  | |   (20)  op(e2, e2) = e1
% 185.48/29.99  | | 
% 185.48/29.99  | | REF_CLOSE: (6), (8), (9), (20) are inconsistent by sub-proof #1347.
% 185.48/29.99  | | 
% 185.48/29.99  | End of split
% 185.48/29.99  | 
% 185.48/29.99  End of proof
% 185.48/29.99  
% 185.48/29.99  Sub-proof #611 shows that the following formulas are inconsistent:
% 185.48/29.99  ----------------------------------------------------------------
% 185.48/29.99    (1)  all_56_10 = e3
% 185.48/29.99    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.99         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.99    (3)   ~ (e1 = e0)
% 185.48/29.99    (4)   ~ (e3 = e0)
% 185.48/29.99    (5)   ~ (e2 = e0)
% 185.48/29.99    (6)  op(e0, e1) = e1
% 185.48/29.99    (7)   ~ (e3 = e1)
% 185.48/29.99    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.99           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.99    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.99         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.99    (10)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.99    (11)   ~ (e3 = e2)
% 185.48/29.99    (12)  op(e1, e1) = e2
% 185.48/29.99    (13)   ~ (e2 = e1)
% 185.48/29.99    (14)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.48/29.99          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.48/29.99  
% 185.48/29.99  Begin of proof
% 185.48/29.99  | 
% 185.48/29.99  | BETA: splitting (10) gives:
% 185.48/29.99  | 
% 185.48/29.99  | Case 1:
% 185.48/29.99  | | 
% 185.48/29.99  | |   (15)  all_56_5 = e2 & op(e2, e1) = e2
% 185.48/29.99  | | 
% 185.48/29.99  | | ALPHA: (15) implies:
% 185.48/29.99  | |   (16)  all_56_5 = e2
% 185.48/29.99  | | 
% 185.48/29.99  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 185.48/29.99  | |            (16) are inconsistent by sub-proof #893.
% 185.48/29.99  | | 
% 185.48/29.99  | Case 2:
% 185.48/29.99  | | 
% 185.48/29.99  | |   (17)  all_56_10 = e2 & op(e2, e0) = e2
% 185.48/29.99  | | 
% 185.48/29.99  | | REF_CLOSE: (1), (11), (17) are inconsistent by sub-proof #1502.
% 185.48/29.99  | | 
% 185.48/29.99  | End of split
% 185.48/29.99  | 
% 185.48/29.99  End of proof
% 185.48/29.99  
% 185.48/29.99  Sub-proof #612 shows that the following formulas are inconsistent:
% 185.48/29.99  ----------------------------------------------------------------
% 185.48/29.99    (1)  all_56_6 = e2
% 185.48/29.99    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.48/29.99         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.48/29.99    (3)   ~ (e1 = e0)
% 185.48/29.99    (4)  op(e1, e3) = all_52_2
% 185.48/29.99    (5)   ~ (e3 = e0)
% 185.48/29.99    (6)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.48/29.99         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.48/29.99    (7)   ~ (e2 = e0)
% 185.48/29.99    (8)   ~ (e3 = e1)
% 185.48/29.99    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.99           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.99    (10)  all_56_7 = e1 & op(e1, e2) = e1
% 185.48/29.99    (11)   ~ (e3 = e2)
% 185.48/29.99    (12)   ~ (all_40_1 = e0)
% 185.48/29.99    (13)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.48/29.99          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.48/29.99    (14)  op(e1, e1) = e2
% 185.48/29.99    (15)   ~ (e2 = e1)
% 185.48/29.99    (16)  op(e1, e3) = all_40_1
% 185.48/29.99  
% 185.48/29.99  Begin of proof
% 185.48/29.99  | 
% 185.48/29.99  | ALPHA: (10) implies:
% 185.48/29.99  |   (17)  all_56_7 = e1
% 185.48/29.99  | 
% 185.48/29.99  | BETA: splitting (6) gives:
% 185.48/29.99  | 
% 185.48/29.99  | Case 1:
% 185.48/29.99  | | 
% 185.48/29.99  | |   (18)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 185.48/29.99  | |           e0)
% 185.48/29.99  | | 
% 185.48/29.99  | | REF_CLOSE: (3), (4), (9), (12), (16), (17), (18) are inconsistent by
% 185.48/29.99  | |            sub-proof #633.
% 185.48/29.99  | | 
% 185.48/29.99  | Case 2:
% 185.48/29.99  | | 
% 185.48/29.99  | |   (19)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.48/29.99  | |           e0)
% 185.48/29.99  | | 
% 185.48/29.99  | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (11), (13), (14), (15), (19)
% 185.48/29.99  | |            are inconsistent by sub-proof #696.
% 185.48/29.99  | | 
% 185.48/29.99  | End of split
% 185.48/29.99  | 
% 185.48/29.99  End of proof
% 185.48/29.99  
% 185.48/29.99  Sub-proof #613 shows that the following formulas are inconsistent:
% 185.48/29.99  ----------------------------------------------------------------
% 185.48/29.99    (1)  op(e2, e2) = e3
% 185.48/29.99    (2)   ~ (e3 = e1)
% 185.48/29.99    (3)  op(e2, e3) = all_52_1
% 185.48/29.99    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.99           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.99    (5)   ~ (all_52_1 = e1)
% 185.48/29.99    (6)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 185.48/29.99  
% 185.48/29.99  Begin of proof
% 185.48/29.99  | 
% 185.48/29.99  | BETA: splitting (6) gives:
% 185.48/29.99  | 
% 185.48/29.99  | Case 1:
% 185.48/29.99  | | 
% 185.48/29.99  | |   (7)  all_56_2 = e1 & op(e2, e3) = e1
% 185.48/29.99  | | 
% 185.48/29.99  | | REF_CLOSE: (3), (4), (5), (7) are inconsistent by sub-proof #1352.
% 185.48/29.99  | | 
% 185.48/29.99  | Case 2:
% 185.48/29.99  | | 
% 185.48/29.99  | |   (8)  all_56_3 = e1 & op(e2, e2) = e1
% 185.48/29.99  | | 
% 185.48/29.99  | | ALPHA: (8) implies:
% 185.48/29.99  | |   (9)  op(e2, e2) = e1
% 185.48/29.99  | | 
% 185.48/29.99  | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #1347.
% 185.48/29.99  | | 
% 185.48/29.99  | End of split
% 185.48/29.99  | 
% 185.48/29.99  End of proof
% 185.48/29.99  
% 185.48/29.99  Sub-proof #614 shows that the following formulas are inconsistent:
% 185.48/29.99  ----------------------------------------------------------------
% 185.48/29.99    (1)  all_56_10 = e2
% 185.48/29.99    (2)  op(e2, e2) = e3
% 185.48/29.99    (3)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.99         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.99    (4)  all_56_10 = e1 & op(e2, e0) = e1
% 185.48/29.99    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.99           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.99    (6)  all_56_1 = e3
% 185.48/29.99    (7)   ~ (all_52_6 = e2)
% 185.48/29.99    (8)   ~ (e3 = e2)
% 185.48/29.99    (9)  op(e1, e2) = all_52_6
% 185.48/29.99    (10)   ~ (e2 = e1)
% 185.48/29.99    (11)  all_56_13 = e2
% 185.48/29.99  
% 185.48/29.99  Begin of proof
% 185.48/29.99  | 
% 185.48/29.99  | ALPHA: (4) implies:
% 185.48/29.99  |   (12)  all_56_10 = e1
% 185.48/29.99  | 
% 185.48/29.99  | COMBINE_EQS: (1), (12) imply:
% 185.48/29.99  |   (13)  e2 = e1
% 185.48/29.99  | 
% 185.48/29.99  | SIMP: (13) implies:
% 185.48/29.99  |   (14)  e2 = e1
% 185.48/29.99  | 
% 185.48/29.99  | COMBINE_EQS: (11), (14) imply:
% 185.48/29.99  |   (15)  all_56_13 = e1
% 185.48/29.99  | 
% 185.48/29.99  | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (15) are inconsistent by
% 185.48/29.99  |            sub-proof #615.
% 185.48/29.99  | 
% 185.48/29.99  End of proof
% 185.48/29.99  
% 185.48/29.99  Sub-proof #615 shows that the following formulas are inconsistent:
% 185.48/29.99  ----------------------------------------------------------------
% 185.48/29.99    (1)  op(e2, e2) = e3
% 185.48/29.99    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.99         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.99    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.99           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.99    (4)  all_56_1 = e3
% 185.48/29.99    (5)   ~ (all_52_6 = e2)
% 185.48/29.99    (6)   ~ (e3 = e2)
% 185.48/29.99    (7)  op(e1, e2) = all_52_6
% 185.48/29.99    (8)   ~ (e2 = e1)
% 185.48/29.99    (9)  all_56_13 = e1
% 185.48/29.99  
% 185.48/29.99  Begin of proof
% 185.48/29.99  | 
% 185.48/29.99  | BETA: splitting (2) gives:
% 185.48/29.99  | 
% 185.48/29.99  | Case 1:
% 185.48/29.99  | | 
% 185.48/29.99  | |   (10)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 185.48/29.99  | |           e2)
% 185.48/29.99  | | 
% 185.48/29.99  | | BETA: splitting (10) gives:
% 185.48/29.99  | | 
% 185.48/29.99  | | Case 1:
% 185.48/29.99  | | | 
% 185.48/29.99  | | |   (11)  all_56_1 = e2 & op(e3, e2) = e2
% 185.48/29.99  | | | 
% 185.48/29.99  | | | ALPHA: (11) implies:
% 185.48/29.99  | | |   (12)  all_56_1 = e2
% 185.48/29.99  | | | 
% 185.48/29.99  | | | REF_CLOSE: (4), (6), (12) are inconsistent by sub-proof #660.
% 185.48/29.99  | | | 
% 185.48/29.99  | | Case 2:
% 185.48/29.99  | | | 
% 185.48/29.99  | | |   (13)  all_56_3 = e2 & op(e2, e2) = e2
% 185.48/29.99  | | | 
% 185.48/29.99  | | | ALPHA: (13) implies:
% 185.48/29.99  | | |   (14)  op(e2, e2) = e2
% 185.48/29.99  | | | 
% 185.48/29.99  | | | REF_CLOSE: (1), (3), (6), (14) are inconsistent by sub-proof #1602.
% 185.48/29.99  | | | 
% 185.48/29.99  | | End of split
% 185.48/29.99  | | 
% 185.48/29.99  | Case 2:
% 185.48/29.99  | | 
% 185.48/29.99  | |   (15)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 185.48/29.99  | |           e2)
% 185.48/29.99  | | 
% 185.48/29.99  | | REF_CLOSE: (3), (5), (7), (8), (9), (15) are inconsistent by sub-proof
% 185.48/29.99  | |            #1246.
% 185.48/29.99  | | 
% 185.48/29.99  | End of split
% 185.48/29.99  | 
% 185.48/29.99  End of proof
% 185.48/29.99  
% 185.48/29.99  Sub-proof #616 shows that the following formulas are inconsistent:
% 185.48/29.99  ----------------------------------------------------------------
% 185.48/29.99    (1)  op(e1, e3) = all_52_2
% 185.48/29.99    (2)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.99    (3)   ~ (e3 = e0)
% 185.48/29.99    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.99           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.99    (5)  all_56_12 = e3
% 185.48/29.99    (6)   ~ (all_40_1 = e0)
% 185.48/29.99    (7)  op(e1, e3) = all_40_1
% 185.48/29.99  
% 185.48/29.99  Begin of proof
% 185.48/29.99  | 
% 185.48/29.99  | BETA: splitting (2) gives:
% 185.48/29.99  | 
% 185.48/29.99  | Case 1:
% 185.48/29.99  | | 
% 185.48/29.99  | |   (8)  all_56_6 = e0 & op(e1, e3) = e0
% 185.48/29.99  | | 
% 185.48/29.99  | | ALPHA: (8) implies:
% 185.48/29.99  | |   (9)  op(e1, e3) = e0
% 185.48/29.99  | | 
% 185.48/29.99  | | REF_CLOSE: (1), (4), (6), (7), (9) are inconsistent by sub-proof #698.
% 185.48/29.99  | | 
% 185.48/29.99  | Case 2:
% 185.48/29.99  | | 
% 185.48/29.99  | |   (10)  all_56_12 = e0 & op(e0, e3) = e0
% 185.48/29.99  | | 
% 185.48/29.99  | | ALPHA: (10) implies:
% 185.48/29.99  | |   (11)  all_56_12 = e0
% 185.48/29.99  | | 
% 185.48/29.99  | | REF_CLOSE: (3), (5), (11) are inconsistent by sub-proof #1519.
% 185.48/29.99  | | 
% 185.48/29.99  | End of split
% 185.48/29.99  | 
% 185.48/29.99  End of proof
% 185.48/29.99  
% 185.48/29.99  Sub-proof #617 shows that the following formulas are inconsistent:
% 185.48/29.99  ----------------------------------------------------------------
% 185.48/29.99    (1)  all_54_6 = all_52_9
% 185.48/29.99    (2)  op(e0, e0) = all_6_2
% 185.48/29.99    (3)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 185.48/29.99    (4)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.48/29.99         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.48/29.99    (5)   ~ (all_52_3 = e1)
% 185.48/29.99    (6)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.48/29.99    (7)   ~ (all_4_2 = e0)
% 185.48/29.99    (8)  op(e1, e0) = e1
% 185.48/29.99    (9)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.99         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.48/29.99    (10)   ~ (all_6_2 = e1)
% 185.48/29.99    (11)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.48/29.99          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.48/29.99    (12)   ~ (all_52_14 = e0)
% 185.48/29.99    (13)   ~ (e1 = e0)
% 185.48/29.99    (14)  op(e1, e3) = all_52_2
% 185.48/29.99    (15)  op(e1, e0) = all_52_14
% 185.48/29.99    (16)   ~ (e3 = e0)
% 185.48/29.99    (17)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.48/29.99          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.48/29.99    (18)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.48/29.99          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.99    (19)   ~ (all_52_13 = all_6_2)
% 185.48/29.99    (20)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.48/29.99          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.48/29.99    (21)  op(e2, e1) = all_52_9
% 185.48/29.99    (22)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.48/29.99          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.48/29.99    (23)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.48/29.99          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.48/29.99    (24)  op(e3, e0) = all_52_12
% 185.48/29.99    (25)   ~ (e2 = e0)
% 185.48/29.99    (26)   ~ (all_52_12 = all_52_13)
% 185.48/29.99    (27)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.99          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.99    (28)   ~ (e3 = e1)
% 185.48/29.99    (29)   ~ (all_52_4 = all_52_7)
% 185.48/29.99    (30)   ~ (all_6_2 = e2)
% 185.48/29.99    (31)   ~ (all_52_9 = all_52_13)
% 185.48/29.99    (32)  op(e2, e3) = all_52_1
% 185.48/29.99    (33)  all_54_4 = all_52_1
% 185.48/29.99    (34)   ~ (all_52_7 = e0)
% 185.48/29.99    (35)   ~ (all_52_1 = e3)
% 185.48/29.99    (36)  op(e0, e3) = all_52_3
% 185.48/29.99    (37)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.48/29.99            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.48/29.99    (38)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.48/29.99          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.48/29.99    (39)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 185.48/29.99    (40)   ~ (all_52_13 = e1)
% 185.48/29.99    (41)   ~ (all_52_1 = all_52_13)
% 185.48/29.99    (42)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 185.48/29.99          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 185.48/29.99            e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 & $i(all_57_24))
% 185.48/29.99    (43)  all_54_7 = all_52_13
% 185.48/29.99    (44)  all_57_31 = all_6_2
% 185.48/29.99    (45)   ~ (all_52_6 = e2)
% 185.48/29.99    (46)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 185.48/29.99              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 185.48/29.99            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.48/29.99              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.48/29.99            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 185.48/29.99            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 185.48/29.99            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 185.48/29.99            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 185.48/29.99            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 185.48/29.99            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.48/29.99              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 185.48/29.99              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.48/29.99            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.48/29.99          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 185.48/29.99              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 185.48/29.99            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.48/29.99              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.48/29.99            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 185.48/29.99            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.48/29.99            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 185.48/29.99            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.48/29.99            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.48/29.99              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.48/29.99              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 185.48/29.99            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 185.48/29.99            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.48/29.99            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 185.48/29.99            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 185.48/29.99            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 185.48/29.99            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 185.48/29.99            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.48/29.99            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 185.48/29.99            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 185.48/29.99            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 185.48/29.99              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 185.48/29.99            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 185.48/29.99            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 185.48/29.99              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 185.48/29.99            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 185.48/29.99            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 185.48/29.99            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 185.48/29.99            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.48/29.99            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.48/29.99              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 185.48/29.99              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 185.48/29.99            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 185.48/29.99            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 185.48/29.99              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 185.48/29.99            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 185.48/29.99            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.48/29.99            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 185.48/29.99            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 185.48/29.99            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 185.48/29.99                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 185.48/29.99                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 185.48/29.99                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.48/29.99                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 185.48/29.99                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.48/29.99                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.48/29.99                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.48/29.99                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.48/29.99                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.48/29.99                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.48/29.99                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 185.48/29.99                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.48/29.99                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 185.48/29.99                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 185.48/29.99                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 185.48/29.99                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 185.48/29.99    (47)   ~ (all_52_1 = e1)
% 185.48/29.99    (48)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.48/29.99          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.48/29.99    (49)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.48/29.99          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.48/29.99    (50)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.48/29.99          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.48/29.99    (51)  op(e2, e2) = e1
% 185.48/29.99    (52)   ~ (all_52_7 = all_6_2)
% 185.48/29.99    (53)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.48/29.99          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.48/29.99    (54)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.48/29.99          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.48/29.99            e1)
% 185.48/29.99    (55)  all_56_6 = e3
% 185.48/29.99    (56)  op(e2, e0) = all_52_13
% 185.48/29.99    (57)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.48/29.99          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.48/29.99    (58)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 185.48/29.99    (59)   ~ (e3 = e2)
% 185.48/29.99    (60)   ~ (all_52_3 = e3)
% 185.48/29.99    (61)  op(e3, e3) = e1
% 185.48/29.99    (62)   ~ (all_52_12 = e1)
% 185.48/29.99    (63)   ~ (all_52_12 = all_6_2)
% 185.48/29.99    (64)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.48/29.99          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.48/29.99    (65)  all_54_12 = all_52_3
% 185.48/29.99    (66)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.48/29.99    (67)  op(e3, e1) = all_52_8
% 185.48/29.99    (68)  op(e1, e3) = e3
% 185.48/29.99    (69)  op(e3, e3) = all_4_2
% 185.48/29.99    (70)   ~ (all_52_1 = all_52_3)
% 185.48/29.99    (71)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.48/29.99          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.48/29.99    (72)  op(e3, e2) = all_52_4
% 185.48/29.99    (73)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.48/29.99          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.48/29.99            e3)
% 185.48/29.99    (74)   ~ (all_40_1 = e0)
% 185.48/29.99    (75)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.48/29.99          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.48/29.99    (76)  op(e1, e2) = all_52_6
% 185.48/29.99    (77)  all_56_3 = e1
% 185.48/29.99    (78)   ~ (all_52_4 = e0)
% 185.48/29.99    (79)  op(e1, e1) = e2
% 185.48/29.99    (80)   ~ (e2 = e1)
% 185.48/29.99    (81)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.48/29.99          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.48/29.99            e2)
% 185.48/29.99    (82)  all_54_3 = all_52_12
% 185.48/29.99    (83)  all_56_13 = e1
% 185.48/29.99    (84)  op(e0, e2) = all_52_7
% 185.48/29.99    (85)   ~ (all_52_1 = all_52_9)
% 185.48/29.99    (86)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.48/29.99              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.48/29.99                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.48/29.99                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.48/29.99    (87)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 185.48/29.99          | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 185.48/29.99            e3) | ( ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 & $i(all_57_25))
% 185.48/29.99    (88)  op(e1, e3) = all_40_1
% 185.48/29.99    (89)  all_56_11 = e1
% 185.48/29.99    (90)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.48/29.99          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.48/29.99    (91)   ~ (all_52_2 = e1)
% 185.48/29.99    (92)   ~ (all_52_3 = all_6_2)
% 185.48/29.99    (93)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.48/29.99          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.48/29.99  
% 185.48/29.99  Begin of proof
% 185.48/29.99  | 
% 185.48/29.99  | BETA: splitting (93) gives:
% 185.48/29.99  | 
% 185.48/29.99  | Case 1:
% 185.48/29.99  | | 
% 185.57/29.99  | |   (94)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 185.57/29.99  | |           e1)
% 185.57/29.99  | | 
% 185.57/29.99  | | BETA: splitting (94) gives:
% 185.57/29.99  | | 
% 185.57/29.99  | | Case 1:
% 185.57/29.99  | | | 
% 185.57/29.99  | | |   (95)  all_56_4 = e1 & op(e3, e1) = e1
% 185.57/29.99  | | | 
% 185.57/29.99  | | | REF_CLOSE: (7), (13), (16), (18), (25), (28), (37), (50), (53), (59),
% 185.57/29.99  | | |            (61), (69), (72), (78), (80), (95) are inconsistent by
% 185.57/29.99  | | |            sub-proof #632.
% 185.57/29.99  | | | 
% 185.57/29.99  | | Case 2:
% 185.57/29.99  | | | 
% 185.57/29.99  | | |   (96)  all_56_5 = e1 & op(e2, e1) = e1
% 185.57/29.99  | | | 
% 185.57/29.99  | | | ALPHA: (96) implies:
% 185.57/29.99  | | |   (97)  all_56_5 = e1
% 185.57/29.99  | | |   (98)  op(e2, e1) = e1
% 185.57/29.99  | | | 
% 185.57/29.99  | | | BETA: splitting (81) gives:
% 185.57/29.99  | | | 
% 185.57/29.99  | | | Case 1:
% 185.57/29.99  | | | | 
% 185.57/29.99  | | | |   (99)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0,
% 185.57/29.99  | | | |             e2) = e2)
% 185.57/29.99  | | | | 
% 185.57/29.99  | | | | BETA: splitting (99) gives:
% 185.57/29.99  | | | | 
% 185.57/29.99  | | | | Case 1:
% 185.57/29.99  | | | | | 
% 185.57/29.99  | | | | |   (100)  all_56_12 = e2 & op(e0, e3) = e2
% 185.57/29.99  | | | | | 
% 185.57/29.99  | | | | | ALPHA: (100) implies:
% 185.57/29.99  | | | | |   (101)  all_56_12 = e2
% 185.57/29.99  | | | | | 
% 185.57/29.99  | | | | | REF_CLOSE: (2), (4), (7), (9), (10), (11), (13), (14), (16), (18),
% 185.57/29.99  | | | | |            (20), (22), (25), (27), (28), (30), (34), (37), (38), (45),
% 185.57/29.99  | | | | |            (49), (50), (51), (53), (54), (55), (57), (59), (61), (67),
% 185.57/29.99  | | | | |            (69), (71), (72), (73), (74), (75), (76), (78), (79), (80),
% 185.57/29.99  | | | | |            (81), (83), (84), (86), (88), (89), (90), (91), (97), (98),
% 185.57/29.99  | | | | |            (101) are inconsistent by sub-proof #627.
% 185.57/29.99  | | | | | 
% 185.57/29.99  | | | | Case 2:
% 185.57/29.99  | | | | | 
% 185.57/29.99  | | | | |   (102)  all_56_13 = e2 & op(e0, e2) = e2
% 185.57/29.99  | | | | | 
% 185.57/29.99  | | | | | ALPHA: (102) implies:
% 185.57/29.99  | | | | |   (103)  all_56_13 = e2
% 185.57/29.99  | | | | | 
% 185.57/29.99  | | | | | REF_CLOSE: (80), (83), (103) are inconsistent by sub-proof #1086.
% 185.57/29.99  | | | | | 
% 185.57/29.99  | | | | End of split
% 185.57/29.99  | | | | 
% 185.57/29.99  | | | Case 2:
% 185.57/29.99  | | | | 
% 185.57/29.99  | | | |   (104)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 185.57/29.99  | | | |              e0) = e2)
% 185.57/29.99  | | | | 
% 185.57/29.99  | | | | BETA: splitting (104) gives:
% 185.57/29.99  | | | | 
% 185.57/29.99  | | | | Case 1:
% 185.57/29.99  | | | | | 
% 185.57/29.99  | | | | |   (105)  all_56_14 = e2 & op(e0, e1) = e2
% 185.57/29.99  | | | | | 
% 185.57/29.99  | | | | | ALPHA: (105) implies:
% 185.57/29.99  | | | | |   (106)  all_56_14 = e2
% 185.57/29.99  | | | | | 
% 185.57/29.99  | | | | | REF_CLOSE: (2), (4), (7), (11), (13), (14), (16), (18), (20), (22),
% 185.57/29.99  | | | | |            (25), (28), (30), (37), (38), (51), (57), (59), (61), (67),
% 185.57/29.99  | | | | |            (69), (71), (72), (74), (75), (78), (79), (80), (88), (90),
% 185.57/29.99  | | | | |            (91), (93), (106) are inconsistent by sub-proof #624.
% 185.57/29.99  | | | | | 
% 185.57/29.99  | | | | Case 2:
% 185.57/29.99  | | | | | 
% 185.57/29.99  | | | | |   (107)  all_56_15 = e2 & op(e0, e0) = e2
% 185.57/29.99  | | | | | 
% 185.57/29.99  | | | | | ALPHA: (107) implies:
% 185.57/29.99  | | | | |   (108)  op(e0, e0) = e2
% 185.57/29.99  | | | | | 
% 185.57/29.99  | | | | | REF_CLOSE: (2), (30), (37), (108) are inconsistent by sub-proof #1511.
% 185.57/29.99  | | | | | 
% 185.57/29.99  | | | | End of split
% 185.57/29.99  | | | | 
% 185.57/29.99  | | | End of split
% 185.57/29.99  | | | 
% 185.57/29.99  | | End of split
% 185.57/29.99  | | 
% 185.57/29.99  | Case 2:
% 185.57/29.99  | | 
% 185.57/29.99  | |   (109)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 185.57/29.99  | |            e1)
% 185.57/29.99  | | 
% 185.57/29.99  | | BETA: splitting (109) gives:
% 185.57/29.99  | | 
% 185.57/29.99  | | Case 1:
% 185.57/29.99  | | | 
% 185.57/29.99  | | |   (110)  all_56_8 = e1 & op(e1, e1) = e1
% 185.57/29.99  | | | 
% 185.57/29.99  | | | ALPHA: (110) implies:
% 185.57/29.99  | | |   (111)  op(e1, e1) = e1
% 185.57/29.99  | | | 
% 185.57/29.99  | | | REF_CLOSE: (37), (79), (80), (111) are inconsistent by sub-proof #1473.
% 185.57/29.99  | | | 
% 185.57/29.99  | | Case 2:
% 185.57/29.99  | | | 
% 185.57/29.99  | | |   (112)  all_56_14 = e1 & op(e0, e1) = e1
% 185.57/29.99  | | | 
% 185.57/29.99  | | | ALPHA: (112) implies:
% 185.57/29.99  | | |   (113)  all_56_14 = e1
% 185.57/29.99  | | |   (114)  op(e0, e1) = e1
% 185.57/29.99  | | | 
% 185.57/29.99  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 185.57/29.99  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 185.57/29.99  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 185.57/29.99  | | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44),
% 185.57/29.99  | | |            (45), (46), (47), (48), (49), (50), (51), (52), (53), (55),
% 185.57/29.99  | | |            (56), (57), (58), (59), (60), (61), (62), (63), (64), (65),
% 185.57/29.99  | | |            (66), (67), (68), (69), (70), (71), (72), (73), (74), (75),
% 185.57/29.99  | | |            (76), (77), (78), (79), (80), (81), (82), (84), (85), (86),
% 185.57/29.99  | | |            (87), (88), (89), (90), (91), (92), (93), (113), (114) are
% 185.57/29.99  | | |            inconsistent by sub-proof #618.
% 185.57/29.99  | | | 
% 185.57/29.99  | | End of split
% 185.57/29.99  | | 
% 185.57/29.99  | End of split
% 185.57/29.99  | 
% 185.57/29.99  End of proof
% 185.57/29.99  
% 185.57/29.99  Sub-proof #618 shows that the following formulas are inconsistent:
% 185.57/29.99  ----------------------------------------------------------------
% 185.57/29.99    (1)  all_54_6 = all_52_9
% 185.57/29.99    (2)  op(e0, e0) = all_6_2
% 185.57/29.99    (3)  all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 185.57/29.99    (4)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.57/29.99         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/29.99    (5)   ~ (all_52_3 = e1)
% 185.57/29.99    (6)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.57/29.99    (7)   ~ (all_4_2 = e0)
% 185.57/29.99    (8)  op(e1, e0) = e1
% 185.57/29.99    (9)   ~ (all_6_2 = e1)
% 185.57/30.00    (10)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.57/30.00          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.57/30.00    (11)   ~ (all_52_14 = e0)
% 185.57/30.00    (12)   ~ (e1 = e0)
% 185.57/30.00    (13)  op(e1, e3) = all_52_2
% 185.57/30.00    (14)  op(e1, e0) = all_52_14
% 185.57/30.00    (15)   ~ (e3 = e0)
% 185.57/30.00    (16)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.57/30.00          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.57/30.00    (17)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.00          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.00    (18)   ~ (all_52_13 = all_6_2)
% 185.57/30.00    (19)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.57/30.00          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.57/30.00    (20)  op(e2, e1) = all_52_9
% 185.57/30.00    (21)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.00          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.00    (22)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.57/30.00          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.57/30.00    (23)  op(e3, e0) = all_52_12
% 185.57/30.00    (24)   ~ (e2 = e0)
% 185.57/30.00    (25)  op(e0, e1) = e1
% 185.57/30.00    (26)   ~ (all_52_12 = all_52_13)
% 185.57/30.00    (27)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.57/30.00          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.57/30.00    (28)   ~ (e3 = e1)
% 185.57/30.00    (29)   ~ (all_52_4 = all_52_7)
% 185.57/30.00    (30)   ~ (all_6_2 = e2)
% 185.57/30.00    (31)   ~ (all_52_9 = all_52_13)
% 185.57/30.00    (32)  op(e2, e3) = all_52_1
% 185.57/30.00    (33)  all_54_4 = all_52_1
% 185.57/30.00    (34)   ~ (all_52_1 = e3)
% 185.57/30.00    (35)  op(e0, e3) = all_52_3
% 185.57/30.00    (36)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.00            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.00    (37)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.57/30.00          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.00    (38)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 185.57/30.00    (39)   ~ (all_52_13 = e1)
% 185.57/30.00    (40)   ~ (all_52_1 = all_52_13)
% 185.57/30.00    (41)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 185.57/30.00          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 185.57/30.00            e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 & $i(all_57_24))
% 185.57/30.00    (42)  all_54_7 = all_52_13
% 185.57/30.00    (43)  all_57_31 = all_6_2
% 185.57/30.00    (44)   ~ (all_52_6 = e2)
% 185.57/30.00    (45)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 185.57/30.00              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 185.57/30.00            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.57/30.00              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.57/30.00            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 185.57/30.00            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 185.57/30.00            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 185.57/30.00            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 185.57/30.00            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 185.57/30.00            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.57/30.00              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 185.57/30.00              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.57/30.00            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.57/30.00          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 185.57/30.00              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 185.57/30.00            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.57/30.00              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.57/30.00            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 185.57/30.00            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.57/30.00            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 185.57/30.00            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.57/30.00            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.57/30.00              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.57/30.00              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 185.57/30.00            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 185.57/30.00            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.57/30.00            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 185.57/30.00            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 185.57/30.00            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 185.57/30.00            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 185.57/30.00            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.57/30.00            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 185.57/30.00            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 185.57/30.00            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 185.57/30.00              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 185.57/30.00            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 185.57/30.00            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 185.57/30.00              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 185.57/30.00            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 185.57/30.00            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 185.57/30.00            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 185.57/30.00            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.57/30.00            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.57/30.00              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 185.57/30.00              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 185.57/30.00            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 185.57/30.00            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 185.57/30.00              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 185.57/30.00            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 185.57/30.00            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.57/30.00            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 185.57/30.00            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 185.57/30.00            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 185.57/30.00                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 185.57/30.00                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 185.57/30.00                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.57/30.00                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 185.57/30.00                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.57/30.00                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.57/30.00                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.57/30.00                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.57/30.00                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.57/30.00                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.57/30.00                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 185.57/30.00                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.57/30.00                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 185.57/30.00                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 185.57/30.00                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 185.57/30.00                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 185.57/30.00    (46)  all_56_14 = e1
% 185.57/30.00    (47)   ~ (all_52_1 = e1)
% 185.57/30.00    (48)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.57/30.00          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.57/30.00    (49)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.57/30.00          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.57/30.00    (50)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.00          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.00    (51)  op(e2, e2) = e1
% 185.57/30.00    (52)   ~ (all_52_7 = all_6_2)
% 185.57/30.00    (53)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.57/30.00          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.57/30.00    (54)  all_56_6 = e3
% 185.57/30.00    (55)  op(e2, e0) = all_52_13
% 185.57/30.00    (56)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.57/30.00          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.57/30.00    (57)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 185.57/30.00    (58)   ~ (e3 = e2)
% 185.57/30.00    (59)   ~ (all_52_3 = e3)
% 185.57/30.00    (60)  op(e3, e3) = e1
% 185.57/30.00    (61)   ~ (all_52_12 = e1)
% 185.57/30.00    (62)   ~ (all_52_12 = all_6_2)
% 185.57/30.00    (63)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.57/30.00          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.57/30.00    (64)  all_54_12 = all_52_3
% 185.57/30.00    (65)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.57/30.00    (66)  op(e3, e1) = all_52_8
% 185.57/30.00    (67)  op(e1, e3) = e3
% 185.57/30.00    (68)  op(e3, e3) = all_4_2
% 185.57/30.00    (69)   ~ (all_52_1 = all_52_3)
% 185.57/30.00    (70)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.57/30.00          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.57/30.00    (71)  op(e3, e2) = all_52_4
% 185.57/30.00    (72)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.57/30.00          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.57/30.00            e3)
% 185.57/30.00    (73)   ~ (all_40_1 = e0)
% 185.57/30.00    (74)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.57/30.00          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.57/30.00    (75)  op(e1, e2) = all_52_6
% 185.57/30.00    (76)  all_56_3 = e1
% 185.57/30.00    (77)   ~ (all_52_4 = e0)
% 185.57/30.00    (78)  op(e1, e1) = e2
% 185.57/30.00    (79)   ~ (e2 = e1)
% 185.57/30.00    (80)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.57/30.00          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.57/30.00            e2)
% 185.57/30.00    (81)  all_54_3 = all_52_12
% 185.57/30.00    (82)  op(e0, e2) = all_52_7
% 185.57/30.00    (83)   ~ (all_52_1 = all_52_9)
% 185.57/30.00    (84)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.00              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.57/30.00                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.57/30.00                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.57/30.00    (85)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 185.57/30.00          | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 185.57/30.00            e3) | ( ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 & $i(all_57_25))
% 185.57/30.00    (86)  op(e1, e3) = all_40_1
% 185.57/30.00    (87)  all_56_11 = e1
% 185.57/30.00    (88)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.57/30.00          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.57/30.00    (89)   ~ (all_52_2 = e1)
% 185.57/30.00    (90)   ~ (all_52_3 = all_6_2)
% 185.57/30.00    (91)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.57/30.00          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.57/30.00  
% 185.57/30.00  Begin of proof
% 185.57/30.00  | 
% 185.57/30.00  | BETA: splitting (41) gives:
% 185.57/30.00  | 
% 185.57/30.00  | Case 1:
% 185.57/30.00  | | 
% 185.57/30.00  | |   (92)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) =
% 185.57/30.00  | |           e0)
% 185.57/30.00  | | 
% 185.57/30.00  | | REF_CLOSE: (7), (12), (36), (51), (68), (92) are inconsistent by sub-proof
% 185.57/30.00  | |            #1301.
% 185.57/30.00  | | 
% 185.57/30.00  | Case 2:
% 185.57/30.00  | | 
% 185.57/30.00  | |   (93)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 185.57/30.00  | |           e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 185.57/30.00  | |           $i(all_57_24))
% 185.57/30.00  | | 
% 185.57/30.00  | | BETA: splitting (93) gives:
% 185.57/30.00  | | 
% 185.57/30.00  | | Case 1:
% 185.57/30.00  | | | 
% 185.57/30.00  | | |   (94)  all_57_30 = e0 & op(e1, e1) = e0
% 185.57/30.00  | | | 
% 185.57/30.00  | | | ALPHA: (94) implies:
% 185.57/30.00  | | |   (95)  op(e1, e1) = e0
% 185.57/30.00  | | | 
% 185.57/30.00  | | | REF_CLOSE: (24), (36), (44), (49), (54), (58), (75), (79), (87), (95) are
% 185.57/30.00  | | |            inconsistent by sub-proof #1228.
% 185.57/30.00  | | | 
% 185.57/30.00  | | Case 2:
% 185.57/30.00  | | | 
% 185.57/30.00  | | |   (96)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) & op(e1,
% 185.57/30.00  | | |             e0) = all_57_24 & $i(all_57_24))
% 185.57/30.00  | | | 
% 185.57/30.00  | | | BETA: splitting (96) gives:
% 185.57/30.00  | | | 
% 185.57/30.00  | | | Case 1:
% 185.57/30.00  | | | | 
% 185.57/30.00  | | | |   (97)  all_57_31 = e0 & op(e0, e0) = e0
% 185.57/30.00  | | | | 
% 185.57/30.00  | | | | ALPHA: (97) implies:
% 185.57/30.00  | | | |   (98)  all_57_31 = e0
% 185.57/30.00  | | | | 
% 185.57/30.00  | | | | COMBINE_EQS: (43), (98) imply:
% 185.57/30.00  | | | |   (99)  all_6_2 = e0
% 185.57/30.00  | | | | 
% 185.57/30.00  | | | | REDUCE: (90), (99) imply:
% 185.57/30.00  | | | |   (100)   ~ (all_52_3 = e0)
% 185.57/30.00  | | | | 
% 185.57/30.00  | | | | REDUCE: (52), (99) imply:
% 185.57/30.00  | | | |   (101)   ~ (all_52_7 = e0)
% 185.57/30.00  | | | | 
% 185.57/30.00  | | | | REDUCE: (62), (99) imply:
% 185.57/30.00  | | | |   (102)   ~ (all_52_12 = e0)
% 185.57/30.00  | | | | 
% 185.57/30.00  | | | | REDUCE: (18), (99) imply:
% 185.57/30.00  | | | |   (103)   ~ (all_52_13 = e0)
% 185.57/30.00  | | | | 
% 185.57/30.00  | | | | REDUCE: (30), (99) imply:
% 185.57/30.00  | | | |   (104)   ~ (e2 = e0)
% 185.57/30.00  | | | | 
% 185.57/30.00  | | | | REDUCE: (9), (99) imply:
% 185.57/30.00  | | | |   (105)   ~ (e1 = e0)
% 185.57/30.00  | | | | 
% 185.57/30.00  | | | | REDUCE: (2), (99) imply:
% 185.57/30.00  | | | |   (106)  op(e0, e0) = e0
% 185.57/30.00  | | | | 
% 185.57/30.00  | | | | BETA: splitting (72) gives:
% 185.57/30.00  | | | | 
% 185.57/30.00  | | | | Case 1:
% 185.57/30.00  | | | | | 
% 185.57/30.00  | | | | |   (107)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0,
% 185.57/30.00  | | | | |              e2) = e3)
% 185.57/30.00  | | | | | 
% 185.57/30.00  | | | | | BETA: splitting (107) gives:
% 185.57/30.00  | | | | | 
% 185.57/30.00  | | | | | Case 1:
% 185.57/30.00  | | | | | | 
% 185.57/30.00  | | | | | |   (108)  all_56_12 = e3 & op(e0, e3) = e3
% 185.57/30.00  | | | | | | 
% 185.57/30.00  | | | | | | ALPHA: (108) implies:
% 185.57/30.00  | | | | | |   (109)  all_56_12 = e3
% 185.57/30.00  | | | | | | 
% 185.57/30.00  | | | | | | BETA: splitting (88) gives:
% 185.57/30.00  | | | | | | 
% 185.57/30.00  | | | | | | Case 1:
% 185.57/30.00  | | | | | | | 
% 185.57/30.00  | | | | | | |   (110)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 &
% 185.57/30.00  | | | | | | |            op(e2, e3) = e0)
% 185.57/30.00  | | | | | | | 
% 185.57/30.00  | | | | | | | BETA: splitting (110) gives:
% 185.57/30.00  | | | | | | | 
% 185.57/30.00  | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | |   (111)  all_56_0 = e0 & op(e3, e3) = e0
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | | ALPHA: (111) implies:
% 185.57/30.00  | | | | | | | |   (112)  op(e3, e3) = e0
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | | REF_CLOSE: (7), (36), (68), (112) are inconsistent by sub-proof
% 185.57/30.00  | | | | | | | |            #1624.
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | |   (113)  all_56_2 = e0 & op(e2, e3) = e0
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | | ALPHA: (113) implies:
% 185.57/30.00  | | | | | | | |   (114)  op(e2, e3) = e0
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | | BETA: splitting (48) gives:
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | 
% 185.57/30.00  | | | | | | | | |   (115)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 &
% 185.57/30.00  | | | | | | | | |            op(e2, e2) = e2)
% 185.57/30.00  | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | BETA: splitting (115) gives:
% 185.57/30.00  | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | |   (116)  all_56_2 = e2 & op(e2, e3) = e2
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | ALPHA: (116) implies:
% 185.57/30.00  | | | | | | | | | |   (117)  op(e2, e3) = e2
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | REF_CLOSE: (24), (36), (114), (117) are inconsistent by
% 185.57/30.00  | | | | | | | | | |            sub-proof #1412.
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | |   (118)  all_56_3 = e2 & op(e2, e2) = e2
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | REF_CLOSE: (76), (79), (118) are inconsistent by sub-proof
% 185.57/30.00  | | | | | | | | | |            #623.
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | End of split
% 185.57/30.00  | | | | | | | | | 
% 185.57/30.00  | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | 
% 185.57/30.00  | | | | | | | | |   (119)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 &
% 185.57/30.00  | | | | | | | | |            op(e2, e0) = e2)
% 185.57/30.00  | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | BETA: splitting (119) gives:
% 185.57/30.00  | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | |   (120)  all_56_5 = e2 & op(e2, e1) = e2
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | ALPHA: (120) implies:
% 185.57/30.00  | | | | | | | | | |   (121)  all_56_5 = e2
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | REF_CLOSE: (10), (12), (15), (24), (25), (28), (36), (37),
% 185.57/30.00  | | | | | | | | | |            (58), (78), (79), (91), (121) are inconsistent by
% 185.57/30.00  | | | | | | | | | |            sub-proof #893.
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | |   (122)  all_56_10 = e2 & op(e2, e0) = e2
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | ALPHA: (122) implies:
% 185.57/30.00  | | | | | | | | | |   (123)  all_56_10 = e2
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | BETA: splitting (63) gives:
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | |   (124)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 185.57/30.00  | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 185.57/30.00  | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | BETA: splitting (124) gives:
% 185.57/30.00  | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | |   (125)  all_56_9 = e3 & op(e3, e0) = e3
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | ALPHA: (125) implies:
% 185.57/30.00  | | | | | | | | | | | |   (126)  all_56_9 = e3
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | BETA: splitting (70) gives:
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | |   (127)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 185.57/30.00  | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | REF_CLOSE: (4), (7), (12), (13), (15), (19), (21), (24),
% 185.57/30.00  | | | | | | | | | | | | |            (28), (36), (51), (58), (60), (68), (73), (74),
% 185.57/30.00  | | | | | | | | | | | | |            (78), (79), (86), (88), (127) are inconsistent by
% 185.57/30.00  | | | | | | | | | | | | |            sub-proof #626.
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | |   (128)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 185.57/30.00  | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | BETA: splitting (128) gives:
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | |   (129)  all_56_5 = e3 & op(e2, e1) = e3
% 185.57/30.00  | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | ALPHA: (129) implies:
% 185.57/30.00  | | | | | | | | | | | | | |   (130)  all_56_5 = e3
% 185.57/30.00  | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | BETA: splitting (19) gives:
% 185.57/30.00  | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | |   (131)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 185.57/30.00  | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 185.57/30.00  | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | REF_CLOSE: (24), (36), (60), (79), (114), (131) are
% 185.57/30.00  | | | | | | | | | | | | | | |            inconsistent by sub-proof #622.
% 185.57/30.00  | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | |   (132)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 185.57/30.00  | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 185.57/30.00  | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | BETA: splitting (132) gives:
% 185.57/30.00  | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | |   (133)  all_56_6 = e2 & op(e1, e3) = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | ALPHA: (133) implies:
% 185.57/30.00  | | | | | | | | | | | | | | | |   (134)  all_56_6 = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | COMBINE_EQS: (54), (134) imply:
% 185.57/30.00  | | | | | | | | | | | | | | | |   (135)  e3 = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | SIMP: (135) implies:
% 185.57/30.00  | | | | | | | | | | | | | | | |   (136)  e3 = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | COMBINE_EQS: (130), (136) imply:
% 185.57/30.00  | | | | | | | | | | | | | | | |   (137)  all_56_5 = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12), (15), (24), (25), (28), (36), (37),
% 185.57/30.00  | | | | | | | | | | | | | | | |            (58), (78), (79), (91), (137) are inconsistent by
% 185.57/30.00  | | | | | | | | | | | | | | | |            sub-proof #893.
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | |   (138)  all_56_12 = e2 & op(e0, e3) = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | ALPHA: (138) implies:
% 185.57/30.00  | | | | | | | | | | | | | | | |   (139)  all_56_12 = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12), (15), (24), (25), (28), (36), (37),
% 185.57/30.00  | | | | | | | | | | | | | | | |            (58), (78), (79), (91), (109), (130), (139) are
% 185.57/30.00  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #750.
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | End of split
% 185.57/30.00  | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | End of split
% 185.57/30.00  | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | |   (140)  all_56_10 = e3 & op(e2, e0) = e3
% 185.57/30.00  | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | ALPHA: (140) implies:
% 185.57/30.00  | | | | | | | | | | | | | |   (141)  all_56_10 = e3
% 185.57/30.00  | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | REF_CLOSE: (2), (30), (36), (56), (58), (79), (87), (126),
% 185.57/30.00  | | | | | | | | | | | | | |            (141) are inconsistent by sub-proof #776.
% 185.57/30.00  | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | End of split
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | End of split
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | |   (142)  all_56_10 = e3 & op(e2, e0) = e3
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | ALPHA: (142) implies:
% 185.57/30.00  | | | | | | | | | | | |   (143)  all_56_10 = e3
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | REF_CLOSE: (58), (123), (143) are inconsistent by sub-proof
% 185.57/30.00  | | | | | | | | | | | |            #958.
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | End of split
% 185.57/30.00  | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | |   (144)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 185.57/30.00  | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 185.57/30.00  | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | BETA: splitting (144) gives:
% 185.57/30.00  | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | |   (145)  all_56_11 = e3 & op(e1, e0) = e3
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | ALPHA: (145) implies:
% 185.57/30.00  | | | | | | | | | | | |   (146)  all_56_11 = e3
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | REF_CLOSE: (2), (7), (9), (12), (15), (16), (17), (24), (28),
% 185.57/30.00  | | | | | | | | | | | |            (36), (50), (53), (58), (60), (66), (68), (71),
% 185.57/30.00  | | | | | | | | | | | |            (77), (79), (123), (146) are inconsistent by
% 185.57/30.00  | | | | | | | | | | | |            sub-proof #620.
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | |   (147)  all_56_15 = e3 & op(e0, e0) = e3
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | ALPHA: (147) implies:
% 185.57/30.00  | | | | | | | | | | | |   (148)  op(e0, e0) = e3
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | REF_CLOSE: (15), (36), (106), (148) are inconsistent by
% 185.57/30.00  | | | | | | | | | | | |            sub-proof #1540.
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | End of split
% 185.57/30.00  | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | End of split
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | End of split
% 185.57/30.00  | | | | | | | | | 
% 185.57/30.00  | | | | | | | | End of split
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | End of split
% 185.57/30.00  | | | | | | | 
% 185.57/30.00  | | | | | | Case 2:
% 185.57/30.00  | | | | | | | 
% 185.57/30.00  | | | | | | |   (149)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 &
% 185.57/30.00  | | | | | | |            op(e0, e3) = e0)
% 185.57/30.00  | | | | | | | 
% 185.57/30.00  | | | | | | | BETA: splitting (149) gives:
% 185.57/30.00  | | | | | | | 
% 185.57/30.00  | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | |   (150)  all_56_6 = e0 & op(e1, e3) = e0
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | | ALPHA: (150) implies:
% 185.57/30.00  | | | | | | | |   (151)  op(e1, e3) = e0
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | | REF_CLOSE: (13), (36), (73), (86), (151) are inconsistent by
% 185.57/30.00  | | | | | | | |            sub-proof #698.
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | |   (152)  all_56_12 = e0 & op(e0, e3) = e0
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | | REF_CLOSE: (15), (109), (152) are inconsistent by sub-proof
% 185.57/30.00  | | | | | | | |            #713.
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | End of split
% 185.57/30.00  | | | | | | | 
% 185.57/30.00  | | | | | | End of split
% 185.57/30.00  | | | | | | 
% 185.57/30.00  | | | | | Case 2:
% 185.57/30.00  | | | | | | 
% 185.57/30.00  | | | | | |   (153)  all_56_13 = e3 & op(e0, e2) = e3
% 185.57/30.00  | | | | | | 
% 185.57/30.00  | | | | | | ALPHA: (153) implies:
% 185.57/30.00  | | | | | |   (154)  all_56_13 = e3
% 185.57/30.00  | | | | | | 
% 185.57/30.00  | | | | | | BETA: splitting (3) gives:
% 185.57/30.00  | | | | | | 
% 185.57/30.00  | | | | | | Case 1:
% 185.57/30.00  | | | | | | | 
% 185.57/30.00  | | | | | | |   (155)  all_54_12 = e3
% 185.57/30.00  | | | | | | | 
% 185.57/30.00  | | | | | | | REF_CLOSE: (59), (64), (155) are inconsistent by sub-proof #1265.
% 185.57/30.00  | | | | | | | 
% 185.57/30.00  | | | | | | Case 2:
% 185.57/30.00  | | | | | | | 
% 185.57/30.00  | | | | | | |   (156)   ~ (all_54_12 = e3)
% 185.57/30.00  | | | | | | |   (157)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 185.57/30.00  | | | | | | | 
% 185.57/30.00  | | | | | | | BETA: splitting (80) gives:
% 185.57/30.00  | | | | | | | 
% 185.57/30.00  | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | |   (158)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 &
% 185.57/30.00  | | | | | | | |            op(e0, e2) = e2)
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | | BETA: splitting (158) gives:
% 185.57/30.00  | | | | | | | | 
% 185.57/30.00  | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | 
% 185.57/30.00  | | | | | | | | |   (159)  all_56_12 = e2 & op(e0, e3) = e2
% 185.57/30.00  | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | ALPHA: (159) implies:
% 185.57/30.00  | | | | | | | | |   (160)  all_56_12 = e2
% 185.57/30.00  | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | BETA: splitting (88) gives:
% 185.57/30.00  | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | |   (161)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 185.57/30.00  | | | | | | | | | |            & op(e2, e3) = e0)
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | BETA: splitting (161) gives:
% 185.57/30.00  | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | |   (162)  all_56_0 = e0 & op(e3, e3) = e0
% 185.57/30.00  | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | ALPHA: (162) implies:
% 185.57/30.00  | | | | | | | | | | |   (163)  op(e3, e3) = e0
% 185.57/30.00  | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | REF_CLOSE: (7), (36), (68), (163) are inconsistent by
% 185.57/30.00  | | | | | | | | | | |            sub-proof #1624.
% 185.57/30.00  | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | |   (164)  all_56_2 = e0 & op(e2, e3) = e0
% 185.57/30.00  | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | ALPHA: (164) implies:
% 185.57/30.00  | | | | | | | | | | |   (165)  op(e2, e3) = e0
% 185.57/30.00  | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | BETA: splitting (85) gives:
% 185.57/30.00  | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | |   (166)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 185.57/30.00  | | | | | | | | | | | |            e3 & op(e2, e2) = e3)
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | BETA: splitting (166) gives:
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | |   (167)  all_57_28 = e3 & op(e3, e3) = e3
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | ALPHA: (167) implies:
% 185.57/30.00  | | | | | | | | | | | | |   (168)  op(e3, e3) = e3
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | REF_CLOSE: (28), (36), (60), (168) are inconsistent by
% 185.57/30.00  | | | | | | | | | | | | |            sub-proof #1600.
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | |   (169)  all_57_29 = e3 & op(e2, e2) = e3
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | ALPHA: (169) implies:
% 185.57/30.00  | | | | | | | | | | | | |   (170)  op(e2, e2) = e3
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | REF_CLOSE: (28), (36), (51), (170) are inconsistent by
% 185.57/30.00  | | | | | | | | | | | | |            sub-proof #1347.
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | End of split
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | |   (171)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 185.57/30.00  | | | | | | | | | | | |            e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 185.57/30.00  | | | | | | | | | | | |            op(e0, e3) = all_57_25 & $i(all_57_25))
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | BETA: splitting (171) gives:
% 185.57/30.00  | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | |   (172)  all_57_30 = e3 & op(e1, e1) = e3
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | ALPHA: (172) implies:
% 185.57/30.00  | | | | | | | | | | | | |   (173)  op(e1, e1) = e3
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | REF_CLOSE: (36), (58), (78), (173) are inconsistent by
% 185.57/30.00  | | | | | | | | | | | | |            sub-proof #1164.
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | |   (174)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 185.57/30.00  | | | | | | | | | | | | |            (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 185.57/30.00  | | | | | | | | | | | | |            $i(all_57_25))
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | BETA: splitting (174) gives:
% 185.57/30.00  | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | |   (175)  all_57_31 = e3 & op(e0, e0) = e3
% 185.57/30.00  | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | ALPHA: (175) implies:
% 185.57/30.00  | | | | | | | | | | | | | |   (176)  op(e0, e0) = e3
% 185.57/30.00  | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | REF_CLOSE: (12), (15), (24), (25), (36), (82), (84), (101),
% 185.57/30.00  | | | | | | | | | | | | | |            (160), (176) are inconsistent by sub-proof #752.
% 185.57/30.00  | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | |   (177)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 185.57/30.00  | | | | | | | | | | | | | |          $i(all_57_25)
% 185.57/30.00  | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | ALPHA: (177) implies:
% 185.57/30.00  | | | | | | | | | | | | | |   (178)   ~ (all_57_25 = e0)
% 185.57/30.00  | | | | | | | | | | | | | |   (179)  op(e0, e3) = all_57_25
% 185.57/30.00  | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | BETA: splitting (48) gives:
% 185.57/30.00  | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | |   (180)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 185.57/30.00  | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 185.57/30.00  | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 185.57/30.00  | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | |   (181)  all_56_2 = e2 & op(e2, e3) = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13), (24), (36), (68), (73), (86), (88),
% 185.57/30.00  | | | | | | | | | | | | | | | |            (160), (181) are inconsistent by sub-proof #691.
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | |   (182)  all_56_3 = e2 & op(e2, e2) = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | REF_CLOSE: (76), (79), (182) are inconsistent by sub-proof
% 185.57/30.00  | | | | | | | | | | | | | | | |            #623.
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | End of split
% 185.57/30.00  | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | |   (183)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 185.57/30.00  | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 185.57/30.00  | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 185.57/30.00  | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | |   (184)  all_56_5 = e2 & op(e2, e1) = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | ALPHA: (184) implies:
% 185.57/30.00  | | | | | | | | | | | | | | | |   (185)  all_56_5 = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12), (15), (24), (25), (28), (36), (37),
% 185.57/30.00  | | | | | | | | | | | | | | | |            (58), (78), (79), (91), (185) are inconsistent by
% 185.57/30.00  | | | | | | | | | | | | | | | |            sub-proof #893.
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | |   (186)  all_56_10 = e2 & op(e2, e0) = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | ALPHA: (186) implies:
% 185.57/30.00  | | | | | | | | | | | | | | | |   (187)  all_56_10 = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | BETA: splitting (63) gives:
% 185.57/30.00  | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | |   (188)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 185.57/30.00  | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 185.57/30.00  | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 185.57/30.00  | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | |   (189)  all_56_9 = e3 & op(e3, e0) = e3
% 185.57/30.00  | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | ALPHA: (189) implies:
% 185.57/30.00  | | | | | | | | | | | | | | | | | |   (190)  all_56_9 = e3
% 185.57/30.00  | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | |   (191)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 185.57/30.00  | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13), (15), (24), (28), (36), (51), (68),
% 185.57/30.00  | | | | | | | | | | | | | | | | | | |            (73), (86), (88), (160), (191) are inconsistent by
% 185.57/30.00  | | | | | | | | | | | | | | | | | | |            sub-proof #631.
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | |   (192)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 185.57/30.00  | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | |   (193)  all_56_5 = e3 & op(e2, e1) = e3
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | ALPHA: (193) implies:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | |   (194)  all_56_5 = e3
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | |   (195)  op(e2, e1) = e3
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | BETA: splitting (37) gives:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | |   (196)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e0)
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | |   (197)  all_56_4 = e0 & op(e3, e1) = e0
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (197) implies:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | |   (198)  all_56_4 = e0
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | |   (199)  op(e3, e1) = e0
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | |   (200)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_56_1 = e2 & op(e3, e2) = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (201) implies:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | |   (202)  op(e3, e2) = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_54_12 = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (64), (203) imply:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_52_3 = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (204) implies:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  all_52_3 = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (205) imply:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (206)   ~ (all_52_1 = e2)
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (205) imply:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (207)   ~ (e3 = e2)
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (205) imply:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  op(e0, e3) = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6) gives:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  all_54_4 = e3
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (34), (209) are inconsistent by sub-proof
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1078.
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_54_4 = e2
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (206), (211) are inconsistent by sub-proof
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1084.
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  all_54_4 = e1 | all_54_4 = e0
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.00  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (36), (66), (165), (199), (214) are
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #619.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_17) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (216) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  all_57_25 = e3
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  op(e3, e0) = e3
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (217) imply:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  op(e0, e3) = e3
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  all_54_4 = e1
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (47), (220) are inconsistent by sub-proof
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1083.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_54_4 = e0
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (221) imply:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_52_1 = e0
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (222) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_52_1 = e0
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (223) imply:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)   ~ (all_52_9 = e0)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (224) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)   ~ (all_52_9 = e0)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (223) imply:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)   ~ (all_52_13 = e0)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (38) gives:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  all_54_6 = e3
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1), (227) imply:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  all_52_9 = e3
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (228) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  all_52_9 = e3
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (229) imply:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)   ~ (all_52_13 = e3)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (230) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)   ~ (all_52_13 = e3)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (65) gives:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  all_54_7 = e3
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (42), (232) imply:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_52_13 = e3
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (231), (233) imply:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  $false
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (234) is inconsistent.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)  all_54_7 = e2
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (42), (236) imply:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  all_52_13 = e2
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (237) imply:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)   ~ (all_52_12 = e2)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (57) gives:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_54_3 = e3
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (81), (239) imply:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_52_12 = e3
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (36) with e2, e3, e3, e0,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (208), (219) gives:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  e3 = e2
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (194), (241) imply:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  all_56_5 = e2
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12), (15), (20), (24), (28), (36), (37),
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (46), (58), (78), (79), (91), (225), (242) are
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #912.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)   ~ (all_54_3 = e3)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (243) imply:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)   ~ (all_52_12 = e3)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (36), (218), (244) are inconsistent by
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1615.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  all_54_7 = e1 | all_54_7 = e0
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (42), (103), (245) are inconsistent by
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #945.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)   ~ (all_54_6 = e3)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1), (246) imply:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)   ~ (all_52_9 = e3)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (36), (195), (247) are inconsistent by
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1449.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21) = all_57_7 & op(e2, all_57_29) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (248) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)  op(e2, e3) = e2
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (36), (165), (249) are inconsistent by
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1412.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (36), (58), (71), (82), (195), (202), (251)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #746.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (253) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  op(e3, e1) = e1
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (36), (199), (254) are inconsistent by
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1571.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (256) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  op(e2, e1) = e1
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (15), (28), (36), (46), (58), (78), (198),
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (257) are inconsistent by sub-proof #906.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0))))
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (258) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22) = all_57_8 & op(e1, all_57_23) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (260) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)   ~ (all_57_8 = e3)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  op(e1, e3) = all_57_22
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  op(e1, all_57_22) = all_57_8
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (67), (261), (262), (263) are inconsistent
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1026.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25) = all_57_12 & op(e0, all_57_26) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_25 = e0 & op(e3, e0) = e0) |
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0))
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (264) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)   ~ (all_57_15 = e0)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  op(e0, e0) = all_57_31
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  op(e0, all_57_31) = all_57_15
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_27 = e0 & op(e1, e0) = e0)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (14), (36), (55), (103), (178), (265),
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (266), (267), (268) are inconsistent by sub-proof
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1280.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_54_12 = e1 | all_54_12 = e0
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (64), (100), (269) are inconsistent by
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1255.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_56_3 = e2 & op(e2, e2) = e2
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (270) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_56_3 = e2
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (28), (32), (36), (47), (79), (187), (195),
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | |            (271) are inconsistent by sub-proof #1063.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | |   (272)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_56_7 = e2 & op(e1, e2) = e2
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (273) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (274)  op(e1, e2) = e2
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (44), (75), (274) are inconsistent by
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1614.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_56_13 = e2 & op(e0, e2) = e2
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (275) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (276)  all_56_13 = e2
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (154), (276) imply:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (277)  e3 = e2
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (277) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (278)  e3 = e2
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (194), (278) imply:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_56_5 = e2
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (12), (15), (24), (25), (28), (36), (37),
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | |            (58), (78), (79), (91), (279) are inconsistent by
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #893.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | |   (280)  all_56_5 = e0 & op(e2, e1) = e0
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (280) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | |   (281)  all_56_5 = e0
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (194), (281) are inconsistent by sub-proof
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | |            #1410.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | |   (282)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (24), (25), (36), (44), (49), (54), (58),
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | |            (75), (79), (87), (282) are inconsistent by
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | |            sub-proof #688.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | |   (283)  all_56_10 = e3 & op(e2, e0) = e3
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | ALPHA: (283) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | |   (284)  all_56_10 = e3
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (30), (36), (56), (58), (79), (87), (190),
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | |            (284) are inconsistent by sub-proof #776.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | |   (285)  all_56_10 = e3 & op(e2, e0) = e3
% 185.57/30.01  | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | ALPHA: (285) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | |   (286)  all_56_10 = e3
% 185.57/30.01  | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | REF_CLOSE: (58), (187), (286) are inconsistent by sub-proof
% 185.57/30.01  | | | | | | | | | | | | | | | | | |            #958.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | |   (287)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 185.57/30.01  | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 185.57/30.01  | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 185.57/30.01  | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | Case 1:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | |   (288)  all_56_11 = e3 & op(e1, e0) = e3
% 185.57/30.01  | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | ALPHA: (288) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | |   (289)  all_56_11 = e3
% 185.57/30.01  | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (7), (9), (12), (15), (16), (17), (24), (28),
% 185.57/30.01  | | | | | | | | | | | | | | | | | |            (36), (50), (53), (58), (60), (66), (68), (71),
% 185.57/30.01  | | | | | | | | | | | | | | | | | |            (77), (79), (187), (289) are inconsistent by
% 185.57/30.01  | | | | | | | | | | | | | | | | | |            sub-proof #620.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | |   (290)  all_56_15 = e3 & op(e0, e0) = e3
% 185.57/30.01  | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | ALPHA: (290) implies:
% 185.57/30.01  | | | | | | | | | | | | | | | | | |   (291)  op(e0, e0) = e3
% 185.57/30.01  | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (15), (24), (25), (36), (82), (84), (101),
% 185.57/30.01  | | | | | | | | | | | | | | | | | |            (160), (291) are inconsistent by sub-proof #752.
% 185.57/30.01  | | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | |   (292)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0
% 185.57/30.01  | | | | | | | | | |            & op(e0, e3) = e0)
% 185.57/30.01  | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | BETA: splitting (292) gives:
% 185.57/30.01  | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | Case 1:
% 185.57/30.01  | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | |   (293)  all_56_6 = e0 & op(e1, e3) = e0
% 185.57/30.01  | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | ALPHA: (293) implies:
% 185.57/30.01  | | | | | | | | | | |   (294)  op(e1, e3) = e0
% 185.57/30.01  | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | REF_CLOSE: (13), (36), (73), (86), (294) are inconsistent by
% 185.57/30.01  | | | | | | | | | | |            sub-proof #698.
% 185.57/30.01  | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | |   (295)  all_56_12 = e0 & op(e0, e3) = e0
% 185.57/30.01  | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | | REF_CLOSE: (24), (160), (295) are inconsistent by sub-proof
% 185.57/30.01  | | | | | | | | | | |            #1553.
% 185.57/30.01  | | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | | 
% 185.57/30.01  | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | 
% 185.57/30.01  | | | | | | | | |   (296)  all_56_13 = e2 & op(e0, e2) = e2
% 185.57/30.01  | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | REF_CLOSE: (58), (154), (296) are inconsistent by sub-proof
% 185.57/30.01  | | | | | | | | |            #1071.
% 185.57/30.01  | | | | | | | | | 
% 185.57/30.01  | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | 
% 185.57/30.01  | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | 
% 185.57/30.01  | | | | | | | |   (297)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 &
% 185.57/30.01  | | | | | | | |            op(e0, e0) = e2)
% 185.57/30.01  | | | | | | | | 
% 185.57/30.01  | | | | | | | | BETA: splitting (297) gives:
% 185.57/30.01  | | | | | | | | 
% 185.57/30.01  | | | | | | | | Case 1:
% 185.57/30.01  | | | | | | | | | 
% 185.57/30.01  | | | | | | | | |   (298)  all_56_14 = e2 & op(e0, e1) = e2
% 185.57/30.01  | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | ALPHA: (298) implies:
% 185.57/30.01  | | | | | | | | |   (299)  all_56_14 = e2
% 185.57/30.01  | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | REF_CLOSE: (2), (4), (7), (10), (12), (13), (15), (17), (19),
% 185.57/30.01  | | | | | | | | |            (21), (24), (28), (30), (36), (37), (51), (56),
% 185.57/30.01  | | | | | | | | |            (58), (60), (66), (68), (70), (71), (73), (74),
% 185.57/30.01  | | | | | | | | |            (77), (78), (79), (86), (88), (89), (91), (299) are
% 185.57/30.01  | | | | | | | | |            inconsistent by sub-proof #624.
% 185.57/30.01  | | | | | | | | | 
% 185.57/30.01  | | | | | | | | Case 2:
% 185.57/30.01  | | | | | | | | | 
% 185.57/30.01  | | | | | | | | |   (300)  all_56_15 = e2 & op(e0, e0) = e2
% 185.57/30.01  | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | ALPHA: (300) implies:
% 185.57/30.01  | | | | | | | | |   (301)  op(e0, e0) = e2
% 185.57/30.01  | | | | | | | | | 
% 185.57/30.01  | | | | | | | | | REF_CLOSE: (2), (30), (36), (301) are inconsistent by
% 185.57/30.01  | | | | | | | | |            sub-proof #1511.
% 185.57/30.01  | | | | | | | | | 
% 185.57/30.01  | | | | | | | | End of split
% 185.57/30.01  | | | | | | | | 
% 185.57/30.01  | | | | | | | End of split
% 185.57/30.01  | | | | | | | 
% 185.57/30.01  | | | | | | End of split
% 185.57/30.01  | | | | | | 
% 185.57/30.01  | | | | | End of split
% 185.57/30.01  | | | | | 
% 185.57/30.01  | | | | Case 2:
% 185.57/30.01  | | | | | 
% 185.57/30.01  | | | | |   (302)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 185.57/30.01  | | | | |              e0) = e3)
% 185.57/30.01  | | | | | 
% 185.57/30.01  | | | | | BETA: splitting (302) gives:
% 185.57/30.01  | | | | | 
% 185.57/30.01  | | | | | Case 1:
% 185.57/30.01  | | | | | | 
% 185.57/30.01  | | | | | |   (303)  all_56_14 = e3 & op(e0, e1) = e3
% 185.57/30.01  | | | | | | 
% 185.57/30.01  | | | | | | ALPHA: (303) implies:
% 185.57/30.01  | | | | | |   (304)  all_56_14 = e3
% 185.57/30.01  | | | | | | 
% 185.57/30.01  | | | | | | REF_CLOSE: (28), (46), (304) are inconsistent by sub-proof #1508.
% 185.57/30.01  | | | | | | 
% 185.57/30.01  | | | | | Case 2:
% 185.57/30.01  | | | | | | 
% 185.57/30.01  | | | | | |   (305)  all_56_15 = e3 & op(e0, e0) = e3
% 185.57/30.01  | | | | | | 
% 185.57/30.01  | | | | | | ALPHA: (305) implies:
% 185.57/30.01  | | | | | |   (306)  op(e0, e0) = e3
% 185.57/30.01  | | | | | | 
% 185.57/30.01  | | | | | | REF_CLOSE: (15), (36), (106), (306) are inconsistent by sub-proof
% 185.57/30.01  | | | | | |            #1540.
% 185.57/30.01  | | | | | | 
% 185.57/30.01  | | | | | End of split
% 185.57/30.01  | | | | | 
% 185.57/30.01  | | | | End of split
% 185.57/30.01  | | | | 
% 185.57/30.01  | | | Case 2:
% 185.57/30.01  | | | | 
% 185.57/30.01  | | | |   (307)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 & $i(all_57_24)
% 185.57/30.01  | | | | 
% 185.57/30.01  | | | | ALPHA: (307) implies:
% 185.57/30.01  | | | |   (308)   ~ (all_57_24 = e1)
% 185.57/30.01  | | | |   (309)  op(e1, e0) = all_57_24
% 185.57/30.01  | | | | 
% 185.57/30.01  | | | | REF_CLOSE: (8), (36), (308), (309) are inconsistent by sub-proof #1423.
% 185.57/30.01  | | | | 
% 185.57/30.01  | | | End of split
% 185.57/30.01  | | | 
% 185.57/30.01  | | End of split
% 185.57/30.01  | | 
% 185.57/30.01  | End of split
% 185.57/30.01  | 
% 185.57/30.01  End of proof
% 185.57/30.01  
% 185.57/30.01  Sub-proof #619 shows that the following formulas are inconsistent:
% 185.57/30.01  ----------------------------------------------------------------
% 185.57/30.01    (1)   ~ (e3 = e0)
% 185.57/30.01    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.01           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.01    (3)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 185.57/30.01             e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.57/30.01           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.57/30.01             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.57/30.01           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 185.57/30.01           $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 185.57/30.01           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3
% 185.57/30.01           & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 185.57/30.01           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 185.57/30.01           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.57/30.01             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 185.57/30.01             e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.57/30.01           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 185.57/30.01    (4)  op(e3, e1) = e0
% 185.57/30.01    (5)  op(e3, e1) = all_52_8
% 185.57/30.01    (6)  op(e2, e3) = e0
% 185.57/30.01  
% 185.57/30.01  Begin of proof
% 185.57/30.01  | 
% 185.57/30.01  | BETA: splitting (3) gives:
% 185.57/30.01  | 
% 185.57/30.01  | Case 1:
% 185.57/30.01  | | 
% 185.57/30.01  | |   (7)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0
% 185.57/30.01  | |          = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 =
% 185.57/30.01  | |          e2) & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 &
% 185.57/30.01  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.57/30.01  | |        e3 & op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 185.57/30.01  | |        e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 185.57/30.01  | |        $i(all_57_18) & $i(all_57_28)
% 185.57/30.01  | | 
% 185.57/30.01  | | ALPHA: (7) implies:
% 185.57/30.01  | |   (8)  op(e2, e3) = e3
% 185.57/30.01  | | 
% 185.57/30.01  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1596.
% 185.57/30.01  | | 
% 185.57/30.01  | Case 2:
% 185.57/30.01  | | 
% 185.57/30.01  | |   (9)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0
% 185.57/30.01  | |          = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0) &  ~ (all_57_28 =
% 185.57/30.01  | |          e1) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_18) = all_57_3 &
% 185.57/30.01  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.57/30.01  | |        all_57_16 & op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1, e3) =
% 185.57/30.01  | |        e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 185.57/30.01  | |        $i(all_57_18) & $i(all_57_28)
% 185.57/30.01  | | 
% 185.57/30.01  | | ALPHA: (9) implies:
% 185.57/30.01  | |   (10)  op(e3, e1) = e3
% 185.57/30.01  | | 
% 185.57/30.01  | | REF_CLOSE: (1), (2), (4), (5), (10) are inconsistent by sub-proof #1577.
% 185.57/30.01  | | 
% 185.57/30.01  | End of split
% 185.57/30.01  | 
% 185.57/30.01  End of proof
% 185.57/30.01  
% 185.57/30.01  Sub-proof #620 shows that the following formulas are inconsistent:
% 185.57/30.01  ----------------------------------------------------------------
% 185.57/30.01    (1)  op(e0, e0) = all_6_2
% 185.57/30.01    (2)   ~ (all_4_2 = e0)
% 185.57/30.01    (3)   ~ (all_6_2 = e1)
% 185.57/30.01    (4)  all_56_10 = e2
% 185.57/30.01    (5)   ~ (e1 = e0)
% 185.57/30.01    (6)   ~ (e3 = e0)
% 185.57/30.01    (7)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.57/30.01         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.57/30.01    (8)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.01         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.01    (9)  all_56_11 = e3
% 185.57/30.01    (10)   ~ (e2 = e0)
% 185.57/30.01    (11)   ~ (e3 = e1)
% 185.57/30.02    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.02            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.02    (13)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.02          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.02    (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.57/30.02          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.57/30.02    (15)   ~ (e3 = e2)
% 185.57/30.02    (16)  op(e3, e3) = e1
% 185.57/30.02    (17)  op(e3, e1) = all_52_8
% 185.57/30.02    (18)  op(e3, e3) = all_4_2
% 185.57/30.02    (19)  op(e3, e2) = all_52_4
% 185.57/30.02    (20)   ~ (all_52_4 = e0)
% 185.57/30.02    (21)   ~ (e2 = e1)
% 185.57/30.02  
% 185.57/30.02  Begin of proof
% 185.57/30.02  | 
% 185.57/30.02  | BETA: splitting (7) gives:
% 185.57/30.02  | 
% 185.57/30.02  | Case 1:
% 185.57/30.02  | | 
% 185.57/30.02  | |   (22)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 185.57/30.02  | |           e1)
% 185.57/30.02  | | 
% 185.57/30.02  | | BETA: splitting (22) gives:
% 185.57/30.02  | | 
% 185.57/30.02  | | Case 1:
% 185.57/30.02  | | | 
% 185.57/30.02  | | |   (23)  all_56_9 = e1 & op(e3, e0) = e1
% 185.57/30.02  | | | 
% 185.57/30.02  | | | ALPHA: (23) implies:
% 185.57/30.02  | | |   (24)  all_56_9 = e1
% 185.57/30.02  | | | 
% 185.57/30.02  | | | REF_CLOSE: (2), (5), (6), (8), (10), (11), (12), (13), (14), (15), (16),
% 185.57/30.02  | | |            (17), (18), (19), (20), (21), (24) are inconsistent by
% 185.57/30.02  | | |            sub-proof #1059.
% 185.57/30.02  | | | 
% 185.57/30.02  | | Case 2:
% 185.57/30.02  | | | 
% 185.57/30.02  | | |   (25)  all_56_10 = e1 & op(e2, e0) = e1
% 185.57/30.02  | | | 
% 185.57/30.02  | | | REF_CLOSE: (4), (21), (25) are inconsistent by sub-proof #621.
% 185.57/30.02  | | | 
% 185.57/30.02  | | End of split
% 185.57/30.02  | | 
% 185.57/30.02  | Case 2:
% 185.57/30.02  | | 
% 185.57/30.02  | |   (26)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.57/30.02  | |           e1)
% 185.57/30.02  | | 
% 185.57/30.02  | | REF_CLOSE: (1), (3), (9), (11), (12), (26) are inconsistent by sub-proof
% 185.57/30.02  | |            #1110.
% 185.57/30.02  | | 
% 185.57/30.02  | End of split
% 185.57/30.02  | 
% 185.57/30.02  End of proof
% 185.57/30.02  
% 185.57/30.02  Sub-proof #621 shows that the following formulas are inconsistent:
% 185.57/30.02  ----------------------------------------------------------------
% 185.57/30.02    (1)  all_56_10 = e1 & op(e2, e0) = e1
% 185.57/30.02    (2)  all_56_10 = e2
% 185.57/30.02    (3)   ~ (e2 = e1)
% 185.57/30.02  
% 185.57/30.02  Begin of proof
% 185.57/30.02  | 
% 185.57/30.02  | ALPHA: (1) implies:
% 185.57/30.02  |   (4)  all_56_10 = e1
% 185.57/30.02  | 
% 185.57/30.02  | COMBINE_EQS: (2), (4) imply:
% 185.57/30.02  |   (5)  e2 = e1
% 185.57/30.02  | 
% 185.57/30.02  | REDUCE: (3), (5) imply:
% 185.57/30.02  |   (6)  $false
% 185.57/30.02  | 
% 185.57/30.02  | CLOSE: (6) is inconsistent.
% 185.57/30.02  | 
% 185.57/30.02  End of proof
% 185.57/30.02  
% 185.57/30.02  Sub-proof #622 shows that the following formulas are inconsistent:
% 185.57/30.02  ----------------------------------------------------------------
% 185.57/30.02    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 185.57/30.02    (2)   ~ (e2 = e0)
% 185.57/30.02    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.02           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.02    (4)  op(e3, e3) = e1
% 185.57/30.02    (5)  op(e2, e3) = e0
% 185.57/30.02    (6)   ~ (e2 = e1)
% 185.57/30.02  
% 185.57/30.02  Begin of proof
% 185.57/30.02  | 
% 185.57/30.02  | BETA: splitting (1) gives:
% 185.57/30.02  | 
% 185.57/30.02  | Case 1:
% 185.57/30.02  | | 
% 185.57/30.02  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 185.57/30.02  | | 
% 185.57/30.02  | | ALPHA: (7) implies:
% 185.57/30.02  | |   (8)  op(e3, e3) = e2
% 185.57/30.02  | | 
% 185.57/30.02  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #1582.
% 185.57/30.02  | | 
% 185.57/30.02  | Case 2:
% 185.57/30.02  | | 
% 185.57/30.02  | |   (9)  all_56_2 = e2 & op(e2, e3) = e2
% 185.57/30.02  | | 
% 185.57/30.02  | | ALPHA: (9) implies:
% 185.57/30.02  | |   (10)  op(e2, e3) = e2
% 185.57/30.02  | | 
% 185.57/30.02  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1412.
% 185.57/30.02  | | 
% 185.57/30.02  | End of split
% 185.57/30.02  | 
% 185.57/30.02  End of proof
% 185.57/30.02  
% 185.57/30.02  Sub-proof #623 shows that the following formulas are inconsistent:
% 185.57/30.02  ----------------------------------------------------------------
% 185.57/30.02    (1)  all_56_3 = e2 & op(e2, e2) = e2
% 185.57/30.02    (2)  all_56_3 = e1
% 185.57/30.02    (3)   ~ (e2 = e1)
% 185.57/30.02  
% 185.57/30.02  Begin of proof
% 185.57/30.02  | 
% 185.57/30.02  | ALPHA: (1) implies:
% 185.57/30.02  |   (4)  all_56_3 = e2
% 185.57/30.02  | 
% 185.57/30.02  | COMBINE_EQS: (2), (4) imply:
% 185.57/30.02  |   (5)  e2 = e1
% 185.57/30.02  | 
% 185.57/30.02  | SIMP: (5) implies:
% 185.57/30.02  |   (6)  e2 = e1
% 185.57/30.02  | 
% 185.57/30.02  | REDUCE: (3), (6) imply:
% 185.57/30.02  |   (7)  $false
% 185.57/30.02  | 
% 185.57/30.02  | CLOSE: (7) is inconsistent.
% 185.57/30.02  | 
% 185.57/30.02  End of proof
% 185.57/30.02  
% 185.57/30.02  Sub-proof #624 shows that the following formulas are inconsistent:
% 185.57/30.02  ----------------------------------------------------------------
% 185.57/30.02    (1)  op(e0, e0) = all_6_2
% 185.57/30.02    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.57/30.02         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/30.02    (3)   ~ (all_4_2 = e0)
% 185.57/30.02    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.57/30.02         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.57/30.02    (5)   ~ (e1 = e0)
% 185.57/30.02    (6)  op(e1, e3) = all_52_2
% 185.57/30.02    (7)   ~ (e3 = e0)
% 185.57/30.02    (8)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.02         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.02    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.57/30.02         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.57/30.02    (10)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.02          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.02    (11)   ~ (e2 = e0)
% 185.57/30.02    (12)   ~ (e3 = e1)
% 185.57/30.02    (13)   ~ (all_6_2 = e2)
% 185.57/30.02    (14)  all_56_14 = e2
% 185.57/30.02    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.02            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.02    (16)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.57/30.02          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.02    (17)  op(e2, e2) = e1
% 185.57/30.02    (18)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.57/30.02          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.57/30.02    (19)   ~ (e3 = e2)
% 185.57/30.02    (20)  op(e3, e3) = e1
% 185.57/30.02    (21)  op(e3, e1) = all_52_8
% 185.57/30.02    (22)  op(e3, e3) = all_4_2
% 185.57/30.02    (23)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.57/30.02          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.57/30.02    (24)  op(e3, e2) = all_52_4
% 185.57/30.02    (25)   ~ (all_40_1 = e0)
% 185.57/30.02    (26)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.57/30.02          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.57/30.02    (27)   ~ (all_52_4 = e0)
% 185.57/30.02    (28)  op(e1, e1) = e2
% 185.57/30.02    (29)   ~ (e2 = e1)
% 185.57/30.02    (30)  op(e1, e3) = all_40_1
% 185.57/30.02    (31)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.57/30.02          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.57/30.02    (32)   ~ (all_52_2 = e1)
% 185.57/30.02    (33)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.57/30.02          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.57/30.02  
% 185.57/30.02  Begin of proof
% 185.57/30.02  | 
% 185.57/30.02  | BETA: splitting (23) gives:
% 185.57/30.02  | 
% 185.57/30.02  | Case 1:
% 185.57/30.02  | | 
% 185.57/30.02  | |   (34)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 185.57/30.02  | |           e3)
% 185.57/30.02  | | 
% 185.57/30.02  | | REF_CLOSE: (2), (3), (5), (6), (7), (9), (10), (11), (12), (15), (17), (19),
% 185.57/30.02  | |            (20), (22), (25), (26), (28), (29), (30), (31), (34) are
% 185.57/30.02  | |            inconsistent by sub-proof #626.
% 185.57/30.02  | | 
% 185.57/30.02  | Case 2:
% 185.57/30.02  | | 
% 185.57/30.02  | |   (35)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.57/30.02  | |           e3)
% 185.57/30.02  | | 
% 185.57/30.02  | | BETA: splitting (35) gives:
% 185.57/30.02  | | 
% 185.57/30.02  | | Case 1:
% 185.57/30.02  | | | 
% 185.57/30.02  | | |   (36)  all_56_5 = e3 & op(e2, e1) = e3
% 185.57/30.02  | | | 
% 185.57/30.02  | | | ALPHA: (36) implies:
% 185.57/30.02  | | |   (37)  all_56_5 = e3
% 185.57/30.02  | | |   (38)  op(e2, e1) = e3
% 185.57/30.02  | | | 
% 185.57/30.02  | | | REF_CLOSE: (5), (7), (11), (12), (14), (15), (16), (28), (29), (33), (37),
% 185.57/30.02  | | |            (38) are inconsistent by sub-proof #979.
% 185.57/30.02  | | | 
% 185.57/30.02  | | Case 2:
% 185.57/30.02  | | | 
% 185.57/30.02  | | |   (39)  all_56_10 = e3 & op(e2, e0) = e3
% 185.57/30.02  | | | 
% 185.57/30.02  | | | ALPHA: (39) implies:
% 185.57/30.02  | | |   (40)  all_56_10 = e3
% 185.57/30.02  | | | 
% 185.57/30.02  | | | BETA: splitting (18) gives:
% 185.57/30.02  | | | 
% 185.57/30.02  | | | Case 1:
% 185.57/30.02  | | | | 
% 185.57/30.02  | | | |   (41)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0)
% 185.57/30.02  | | | |           = e2)
% 185.57/30.02  | | | | 
% 185.57/30.02  | | | | BETA: splitting (41) gives:
% 185.57/30.02  | | | | 
% 185.57/30.02  | | | | Case 1:
% 185.57/30.02  | | | | | 
% 185.57/30.02  | | | | |   (42)  all_56_9 = e2 & op(e3, e0) = e2
% 185.57/30.02  | | | | | 
% 185.57/30.02  | | | | | ALPHA: (42) implies:
% 185.57/30.02  | | | | |   (43)  all_56_9 = e2
% 185.57/30.02  | | | | | 
% 185.57/30.02  | | | | | REF_CLOSE: (3), (4), (5), (7), (8), (11), (12), (14), (15), (16),
% 185.57/30.02  | | | | |            (19), (21), (22), (24), (27), (28), (29), (33), (43) are
% 185.57/30.02  | | | | |            inconsistent by sub-proof #625.
% 185.57/30.02  | | | | | 
% 185.57/30.02  | | | | Case 2:
% 185.57/30.02  | | | | | 
% 185.57/30.02  | | | | |   (44)  all_56_10 = e2 & op(e2, e0) = e2
% 185.57/30.02  | | | | | 
% 185.57/30.02  | | | | | REF_CLOSE: (19), (40), (44) are inconsistent by sub-proof #1502.
% 185.57/30.02  | | | | | 
% 185.57/30.02  | | | | End of split
% 185.57/30.02  | | | | 
% 185.57/30.02  | | | Case 2:
% 185.57/30.02  | | | | 
% 185.57/30.02  | | | |   (45)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0,
% 185.57/30.02  | | | |             e0) = e2)
% 185.57/30.02  | | | | 
% 185.57/30.02  | | | | REF_CLOSE: (1), (2), (5), (6), (7), (10), (11), (12), (13), (15), (19),
% 185.57/30.02  | | | |            (26), (28), (29), (32), (45) are inconsistent by sub-proof
% 185.57/30.02  | | | |            #634.
% 185.57/30.02  | | | | 
% 185.57/30.02  | | | End of split
% 185.57/30.02  | | | 
% 185.57/30.02  | | End of split
% 185.57/30.02  | | 
% 185.57/30.02  | End of split
% 185.57/30.02  | 
% 185.57/30.02  End of proof
% 185.57/30.02  
% 185.57/30.02  Sub-proof #625 shows that the following formulas are inconsistent:
% 185.57/30.02  ----------------------------------------------------------------
% 185.57/30.02    (1)  all_56_9 = e2
% 185.57/30.02    (2)   ~ (all_4_2 = e0)
% 185.57/30.02    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.57/30.02         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.57/30.02    (4)   ~ (e1 = e0)
% 185.57/30.02    (5)   ~ (e3 = e0)
% 185.57/30.02    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.02         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.02    (7)   ~ (e2 = e0)
% 185.57/30.02    (8)   ~ (e3 = e1)
% 185.57/30.02    (9)  all_56_14 = e2
% 185.57/30.02    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.02            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.02    (11)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.57/30.02          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.02    (12)   ~ (e3 = e2)
% 185.57/30.02    (13)  op(e3, e1) = all_52_8
% 185.57/30.02    (14)  op(e3, e3) = all_4_2
% 185.57/30.02    (15)  op(e3, e2) = all_52_4
% 185.57/30.02    (16)   ~ (all_52_4 = e0)
% 185.57/30.02    (17)  op(e1, e1) = e2
% 185.57/30.02    (18)   ~ (e2 = e1)
% 185.57/30.02    (19)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.57/30.02          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.57/30.02  
% 185.57/30.02  Begin of proof
% 185.57/30.02  | 
% 185.57/30.02  | BETA: splitting (3) gives:
% 185.57/30.02  | 
% 185.57/30.02  | Case 1:
% 185.57/30.02  | | 
% 185.57/30.02  | |   (20)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 185.57/30.02  | |           e3)
% 185.57/30.02  | | 
% 185.57/30.02  | | BETA: splitting (20) gives:
% 185.57/30.02  | | 
% 185.57/30.02  | | Case 1:
% 185.57/30.02  | | | 
% 185.57/30.02  | | |   (21)  all_56_4 = e3 & op(e3, e1) = e3
% 185.57/30.02  | | | 
% 185.57/30.02  | | | ALPHA: (21) implies:
% 185.57/30.02  | | |   (22)  op(e3, e1) = e3
% 185.57/30.02  | | | 
% 185.57/30.02  | | | REF_CLOSE: (1), (2), (5), (6), (7), (10), (13), (14), (15), (16), (22) are
% 185.57/30.02  | | |            inconsistent by sub-proof #899.
% 185.57/30.02  | | | 
% 185.57/30.02  | | Case 2:
% 185.57/30.02  | | | 
% 185.57/30.02  | | |   (23)  all_56_5 = e3 & op(e2, e1) = e3
% 185.57/30.02  | | | 
% 185.57/30.02  | | | ALPHA: (23) implies:
% 185.57/30.02  | | |   (24)  all_56_5 = e3
% 185.57/30.02  | | |   (25)  op(e2, e1) = e3
% 185.57/30.02  | | | 
% 185.57/30.02  | | | REF_CLOSE: (4), (5), (7), (8), (9), (10), (11), (17), (18), (19), (24),
% 185.57/30.02  | | |            (25) are inconsistent by sub-proof #979.
% 185.57/30.02  | | | 
% 185.57/30.02  | | End of split
% 185.57/30.02  | | 
% 185.57/30.02  | Case 2:
% 185.57/30.02  | | 
% 185.57/30.02  | |   (26)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 185.57/30.02  | |           e3)
% 185.57/30.02  | | 
% 185.57/30.02  | | REF_CLOSE: (9), (10), (12), (17), (26) are inconsistent by sub-proof #983.
% 185.57/30.02  | | 
% 185.57/30.02  | End of split
% 185.57/30.02  | 
% 185.57/30.02  End of proof
% 185.57/30.02  
% 185.57/30.02  Sub-proof #626 shows that the following formulas are inconsistent:
% 185.57/30.02  ----------------------------------------------------------------
% 185.57/30.02    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.57/30.02         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/30.02    (2)   ~ (all_4_2 = e0)
% 185.57/30.02    (3)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 185.57/30.02    (4)   ~ (e1 = e0)
% 185.57/30.02    (5)  op(e1, e3) = all_52_2
% 185.57/30.02    (6)   ~ (e3 = e0)
% 185.57/30.02    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.57/30.02         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.57/30.02    (8)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.02         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.02    (9)   ~ (e2 = e0)
% 185.57/30.02    (10)   ~ (e3 = e1)
% 185.57/30.02    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.02            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.02    (12)  op(e2, e2) = e1
% 185.57/30.02    (13)   ~ (e3 = e2)
% 185.57/30.02    (14)  op(e3, e3) = e1
% 185.57/30.02    (15)  op(e3, e3) = all_4_2
% 185.57/30.02    (16)   ~ (all_40_1 = e0)
% 185.57/30.02    (17)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.57/30.02          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.57/30.02    (18)  op(e1, e1) = e2
% 185.57/30.02    (19)   ~ (e2 = e1)
% 185.57/30.02    (20)  op(e1, e3) = all_40_1
% 185.57/30.02    (21)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.57/30.02          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.57/30.02  
% 185.57/30.02  Begin of proof
% 185.57/30.02  | 
% 185.57/30.02  | BETA: splitting (3) gives:
% 185.57/30.02  | 
% 185.57/30.02  | Case 1:
% 185.57/30.02  | | 
% 185.57/30.02  | |   (22)  all_56_2 = e3 & op(e2, e3) = e3
% 185.57/30.02  | | 
% 185.57/30.02  | | ALPHA: (22) implies:
% 185.57/30.02  | |   (23)  all_56_2 = e3
% 185.57/30.02  | | 
% 185.57/30.02  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 185.57/30.02  | |            (15), (16), (17), (18), (19), (20), (21), (23) are inconsistent
% 185.57/30.02  | |            by sub-proof #693.
% 185.57/30.02  | | 
% 185.57/30.02  | Case 2:
% 185.57/30.02  | | 
% 185.57/30.02  | |   (24)  all_56_3 = e3 & op(e2, e2) = e3
% 185.57/30.02  | | 
% 185.57/30.02  | | ALPHA: (24) implies:
% 185.57/30.02  | |   (25)  op(e2, e2) = e3
% 185.57/30.02  | | 
% 185.57/30.02  | | REF_CLOSE: (10), (11), (12), (25) are inconsistent by sub-proof #1347.
% 185.57/30.02  | | 
% 185.57/30.02  | End of split
% 185.57/30.02  | 
% 185.57/30.02  End of proof
% 185.57/30.02  
% 185.57/30.02  Sub-proof #627 shows that the following formulas are inconsistent:
% 185.57/30.02  ----------------------------------------------------------------
% 185.57/30.02    (1)  op(e0, e0) = all_6_2
% 185.57/30.02    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.57/30.02         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/30.02    (3)   ~ (all_4_2 = e0)
% 185.57/30.02    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.57/30.02         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.57/30.02    (5)   ~ (all_6_2 = e1)
% 185.57/30.02    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.57/30.02         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.57/30.02    (7)   ~ (e1 = e0)
% 185.57/30.02    (8)  op(e1, e3) = all_52_2
% 185.57/30.02    (9)   ~ (e3 = e0)
% 185.57/30.02    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.02          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.02    (11)  op(e2, e1) = e1
% 185.57/30.02    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.57/30.02          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.57/30.02    (13)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.02          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.02    (14)   ~ (e2 = e0)
% 185.57/30.02    (15)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.57/30.02          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.57/30.02    (16)   ~ (e3 = e1)
% 185.57/30.02    (17)   ~ (all_6_2 = e2)
% 185.57/30.02    (18)  all_56_5 = e1
% 185.57/30.02    (19)   ~ (all_52_7 = e0)
% 185.57/30.02    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.02            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.02    (21)  all_56_12 = e2
% 185.57/30.02    (22)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.57/30.02          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.02    (23)   ~ (all_52_6 = e2)
% 185.57/30.02    (24)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.57/30.02          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.57/30.02    (25)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.02          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.02    (26)  op(e2, e2) = e1
% 185.57/30.02    (27)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.57/30.02          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.57/30.02    (28)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.57/30.02          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.57/30.02            e1)
% 185.57/30.02    (29)  all_56_6 = e3
% 185.57/30.02    (30)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.57/30.02          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.57/30.02    (31)   ~ (e3 = e2)
% 185.57/30.02    (32)  op(e3, e3) = e1
% 185.57/30.02    (33)  op(e3, e1) = all_52_8
% 185.57/30.02    (34)  op(e3, e3) = all_4_2
% 185.57/30.02    (35)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.57/30.02          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.57/30.02    (36)  op(e3, e2) = all_52_4
% 185.57/30.02    (37)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.57/30.02          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.57/30.02            e3)
% 185.57/30.02    (38)   ~ (all_40_1 = e0)
% 185.57/30.02    (39)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.57/30.02          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.57/30.02    (40)  op(e1, e2) = all_52_6
% 185.57/30.02    (41)   ~ (all_52_4 = e0)
% 185.57/30.02    (42)  op(e1, e1) = e2
% 185.57/30.02    (43)   ~ (e2 = e1)
% 185.57/30.02    (44)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.57/30.02          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.57/30.02            e2)
% 185.57/30.02    (45)  all_56_13 = e1
% 185.57/30.02    (46)  op(e0, e2) = all_52_7
% 185.57/30.02    (47)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.02              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.57/30.02                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.57/30.02                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.57/30.02    (48)  op(e1, e3) = all_40_1
% 185.57/30.02    (49)  all_56_11 = e1
% 185.57/30.02    (50)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.57/30.02          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.57/30.02    (51)   ~ (all_52_2 = e1)
% 185.57/30.02  
% 185.57/30.02  Begin of proof
% 185.57/30.02  | 
% 185.57/30.02  | BETA: splitting (35) gives:
% 185.57/30.02  | 
% 185.57/30.02  | Case 1:
% 185.57/30.02  | | 
% 185.57/30.02  | |   (52)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 185.57/30.02  | |           e3)
% 185.57/30.02  | | 
% 185.57/30.02  | | REF_CLOSE: (3), (8), (9), (14), (16), (20), (21), (26), (34), (38), (48),
% 185.57/30.02  | |            (50), (52) are inconsistent by sub-proof #631.
% 185.57/30.02  | | 
% 185.57/30.02  | Case 2:
% 185.57/30.02  | | 
% 185.57/30.02  | |   (53)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.57/30.02  | |           e3)
% 185.57/30.02  | | 
% 185.57/30.02  | | BETA: splitting (53) gives:
% 185.57/30.02  | | 
% 185.57/30.02  | | Case 1:
% 185.57/30.02  | | | 
% 185.57/30.02  | | |   (54)  all_56_5 = e3 & op(e2, e1) = e3
% 185.57/30.02  | | | 
% 185.57/30.02  | | | ALPHA: (54) implies:
% 185.57/30.02  | | |   (55)  op(e2, e1) = e3
% 185.57/30.02  | | | 
% 185.57/30.02  | | | REF_CLOSE: (11), (16), (20), (55) are inconsistent by sub-proof #1456.
% 185.57/30.02  | | | 
% 185.57/30.02  | | Case 2:
% 185.57/30.02  | | | 
% 185.57/30.02  | | |   (56)  all_56_10 = e3 & op(e2, e0) = e3
% 185.57/30.02  | | | 
% 185.57/30.02  | | | ALPHA: (56) implies:
% 185.57/30.02  | | |   (57)  all_56_10 = e3
% 185.57/30.02  | | | 
% 185.57/30.02  | | | BETA: splitting (30) gives:
% 185.57/30.02  | | | 
% 185.57/30.02  | | | Case 1:
% 185.57/30.02  | | | | 
% 185.57/30.02  | | | |   (58)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0)
% 185.57/30.02  | | | |           = e2)
% 185.57/30.02  | | | | 
% 185.57/30.02  | | | | BETA: splitting (58) gives:
% 185.57/30.02  | | | | 
% 185.57/30.02  | | | | Case 1:
% 185.57/30.02  | | | | | 
% 185.57/30.02  | | | | |   (59)  all_56_9 = e2 & op(e3, e0) = e2
% 185.57/30.02  | | | | | 
% 185.57/30.02  | | | | | ALPHA: (59) implies:
% 185.57/30.02  | | | | |   (60)  all_56_9 = e2
% 185.57/30.02  | | | | | 
% 185.57/30.02  | | | | | BETA: splitting (4) gives:
% 185.57/30.02  | | | | | 
% 185.57/30.02  | | | | | Case 1:
% 185.57/30.02  | | | | | | 
% 185.57/30.02  | | | | | |   (61)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2,
% 185.57/30.02  | | | | | |             e2) = e3)
% 185.57/30.02  | | | | | | 
% 185.57/30.02  | | | | | | BETA: splitting (61) gives:
% 185.57/30.02  | | | | | | 
% 185.57/30.02  | | | | | | Case 1:
% 185.57/30.02  | | | | | | | 
% 185.57/30.02  | | | | | | |   (62)  all_56_1 = e3 & op(e3, e2) = e3
% 185.57/30.02  | | | | | | | 
% 185.57/30.02  | | | | | | | ALPHA: (62) implies:
% 185.57/30.02  | | | | | | |   (63)  all_56_1 = e3
% 185.57/30.02  | | | | | | | 
% 185.57/30.02  | | | | | | | BETA: splitting (47) gives:
% 185.57/30.02  | | | | | | | 
% 185.57/30.02  | | | | | | | Case 1:
% 185.57/30.02  | | | | | | | | 
% 185.57/30.02  | | | | | | | |   (64)  all_56_15 = e0 & op(e0, e0) = e0
% 185.57/30.02  | | | | | | | | 
% 185.57/30.02  | | | | | | | | ALPHA: (64) implies:
% 185.57/30.02  | | | | | | | |   (65)  op(e0, e0) = e0
% 185.57/30.02  | | | | | | | | 
% 185.57/30.02  | | | | | | | | BETA: splitting (15) gives:
% 185.57/30.02  | | | | | | | | 
% 185.57/30.02  | | | | | | | | Case 1:
% 185.57/30.02  | | | | | | | | | 
% 185.57/30.02  | | | | | | | | |   (66)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 &
% 185.57/30.02  | | | | | | | | |           op(e2, e2) = e2)
% 185.57/30.02  | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | BETA: splitting (66) gives:
% 185.57/30.02  | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | Case 1:
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | |   (67)  all_56_1 = e2 & op(e3, e2) = e2
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | ALPHA: (67) implies:
% 185.57/30.02  | | | | | | | | | |   (68)  all_56_1 = e2
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | REF_CLOSE: (31), (63), (68) are inconsistent by sub-proof
% 185.57/30.02  | | | | | | | | | |            #660.
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | Case 2:
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | |   (69)  all_56_3 = e2 & op(e2, e2) = e2
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | ALPHA: (69) implies:
% 185.57/30.02  | | | | | | | | | |   (70)  op(e2, e2) = e2
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | BETA: splitting (37) gives:
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | Case 1:
% 185.57/30.02  | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | |   (71)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 185.57/30.02  | | | | | | | | | | |           e3 & op(e0, e2) = e3)
% 185.57/30.02  | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | BETA: splitting (71) gives:
% 185.57/30.02  | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | Case 1:
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | |   (72)  all_56_12 = e3 & op(e0, e3) = e3
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | ALPHA: (72) implies:
% 185.57/30.02  | | | | | | | | | | | |   (73)  all_56_12 = e3
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | COMBINE_EQS: (21), (73) imply:
% 185.57/30.02  | | | | | | | | | | | |   (74)  e3 = e2
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | COMBINE_EQS: (57), (74) imply:
% 185.57/30.02  | | | | | | | | | | | |   (75)  all_56_10 = e2
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | BETA: splitting (35) gives:
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | Case 1:
% 185.57/30.02  | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | |   (76)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 185.57/30.02  | | | | | | | | | | | | |           & op(e2, e2) = e3)
% 185.57/30.02  | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | REF_CLOSE: (2), (3), (7), (8), (9), (12), (13), (14), (16),
% 185.57/30.02  | | | | | | | | | | | | |            (20), (31), (32), (34), (38), (39), (42), (43),
% 185.57/30.02  | | | | | | | | | | | | |            (48), (50), (70), (76) are inconsistent by
% 185.57/30.02  | | | | | | | | | | | | |            sub-proof #689.
% 185.57/30.02  | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | Case 2:
% 185.57/30.02  | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | REF_CLOSE: (11), (16), (20), (31), (53), (75) are
% 185.57/30.02  | | | | | | | | | | | | |            inconsistent by sub-proof #630.
% 185.57/30.02  | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | End of split
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | Case 2:
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | |   (77)  all_56_13 = e3 & op(e0, e2) = e3
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | ALPHA: (77) implies:
% 185.57/30.02  | | | | | | | | | | | |   (78)  all_56_13 = e3
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | COMBINE_EQS: (45), (78) imply:
% 185.57/30.02  | | | | | | | | | | | |   (79)  e3 = e1
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | COMBINE_EQS: (63), (79) imply:
% 185.57/30.02  | | | | | | | | | | | |   (80)  all_56_1 = e1
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | REF_CLOSE: (3), (7), (9), (10), (14), (16), (20), (25), (31),
% 185.57/30.02  | | | | | | | | | | | |            (32), (33), (34), (60), (80) are inconsistent by
% 185.57/30.02  | | | | | | | | | | | |            sub-proof #1398.
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | End of split
% 185.57/30.02  | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | Case 2:
% 185.57/30.02  | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | |   (81)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 185.57/30.02  | | | | | | | | | | |           e3 & op(e0, e0) = e3)
% 185.57/30.02  | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | BETA: splitting (81) gives:
% 185.57/30.02  | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | Case 1:
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | |   (82)  all_56_14 = e3 & op(e0, e1) = e3
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | ALPHA: (82) implies:
% 185.57/30.02  | | | | | | | | | | | |   (83)  all_56_14 = e3
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | BETA: splitting (22) gives:
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | Case 1:
% 185.57/30.02  | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | |   (84)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 185.57/30.02  | | | | | | | | | | | | |           & op(e2, e1) = e0)
% 185.57/30.02  | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | BETA: splitting (84) gives:
% 185.57/30.02  | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | Case 1:
% 185.57/30.02  | | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | |   (85)  all_56_4 = e0 & op(e3, e1) = e0
% 185.57/30.02  | | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | | ALPHA: (85) implies:
% 185.57/30.02  | | | | | | | | | | | | | |   (86)  all_56_4 = e0
% 185.57/30.02  | | | | | | | | | | | | | |   (87)  op(e3, e1) = e0
% 185.57/30.02  | | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | | GROUND_INST: instantiating (20) with e1, e2, e2, e2,
% 185.57/30.02  | | | | | | | | | | | | | |              simplifying with (26), (70) gives:
% 185.57/30.02  | | | | | | | | | | | | | |   (88)  e2 = e1
% 185.57/30.02  | | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | | COMBINE_EQS: (60), (88) imply:
% 185.57/30.02  | | | | | | | | | | | | | |   (89)  all_56_9 = e1
% 185.57/30.02  | | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | | REF_CLOSE: (9), (14), (16), (20), (25), (27), (31), (32),
% 185.57/30.02  | | | | | | | | | | | | | |            (33), (43), (86), (87), (89) are inconsistent by
% 185.57/30.02  | | | | | | | | | | | | | |            sub-proof #1375.
% 185.57/30.02  | | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | Case 2:
% 185.57/30.02  | | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | |   (90)  all_56_5 = e0 & op(e2, e1) = e0
% 185.57/30.02  | | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | | ALPHA: (90) implies:
% 185.57/30.02  | | | | | | | | | | | | | |   (91)  all_56_5 = e0
% 185.57/30.02  | | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | | REF_CLOSE: (7), (18), (91) are inconsistent by sub-proof
% 185.57/30.02  | | | | | | | | | | | | | |            #981.
% 185.57/30.02  | | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | End of split
% 185.57/30.02  | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | Case 2:
% 185.57/30.02  | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | |   (92)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 185.57/30.02  | | | | | | | | | | | | |           e0 & op(e0, e1) = e0)
% 185.57/30.02  | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | BETA: splitting (92) gives:
% 185.57/30.02  | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | Case 1:
% 185.57/30.02  | | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | |   (93)  all_56_8 = e0 & op(e1, e1) = e0
% 185.57/30.02  | | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | | ALPHA: (93) implies:
% 185.57/30.02  | | | | | | | | | | | | | |   (94)  op(e1, e1) = e0
% 185.57/30.02  | | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | | REF_CLOSE: (14), (20), (23), (24), (29), (31), (40), (43),
% 185.57/30.02  | | | | | | | | | | | | | |            (49), (94) are inconsistent by sub-proof #1228.
% 185.57/30.02  | | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | Case 2:
% 185.57/30.02  | | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | |   (95)  all_56_14 = e0 & op(e0, e1) = e0
% 185.57/30.02  | | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | | ALPHA: (95) implies:
% 185.57/30.02  | | | | | | | | | | | | | |   (96)  all_56_14 = e0
% 185.57/30.02  | | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | | REF_CLOSE: (9), (83), (96) are inconsistent by sub-proof
% 185.57/30.02  | | | | | | | | | | | | | |            #1470.
% 185.57/30.02  | | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | | End of split
% 185.57/30.02  | | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | End of split
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | Case 2:
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | |   (97)  all_56_15 = e3 & op(e0, e0) = e3
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | ALPHA: (97) implies:
% 185.57/30.02  | | | | | | | | | | | |   (98)  op(e0, e0) = e3
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | | REF_CLOSE: (9), (20), (65), (98) are inconsistent by
% 185.57/30.02  | | | | | | | | | | | |            sub-proof #1540.
% 185.57/30.02  | | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | | End of split
% 185.57/30.02  | | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | End of split
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | End of split
% 185.57/30.02  | | | | | | | | | 
% 185.57/30.02  | | | | | | | | Case 2:
% 185.57/30.02  | | | | | | | | | 
% 185.57/30.02  | | | | | | | | |   (99)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 &
% 185.57/30.02  | | | | | | | | |           op(e0, e2) = e2)
% 185.57/30.02  | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | BETA: splitting (99) gives:
% 185.57/30.02  | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | Case 1:
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | |   (100)  all_56_7 = e2 & op(e1, e2) = e2
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | ALPHA: (100) implies:
% 185.57/30.02  | | | | | | | | | |   (101)  op(e1, e2) = e2
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | REF_CLOSE: (20), (23), (40), (101) are inconsistent by
% 185.57/30.02  | | | | | | | | | |            sub-proof #1614.
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | Case 2:
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | |   (102)  all_56_13 = e2 & op(e0, e2) = e2
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | ALPHA: (102) implies:
% 185.57/30.02  | | | | | | | | | |   (103)  all_56_13 = e2
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | COMBINE_EQS: (45), (103) imply:
% 185.57/30.02  | | | | | | | | | |   (104)  e2 = e1
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | COMBINE_EQS: (60), (104) imply:
% 185.57/30.02  | | | | | | | | | |   (105)  all_56_9 = e1
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | | REF_CLOSE: (1), (17), (20), (30), (31), (43), (49), (57),
% 185.57/30.02  | | | | | | | | | |            (105) are inconsistent by sub-proof #954.
% 185.57/30.02  | | | | | | | | | | 
% 185.57/30.02  | | | | | | | | | End of split
% 185.57/30.02  | | | | | | | | | 
% 185.57/30.02  | | | | | | | | End of split
% 185.57/30.02  | | | | | | | | 
% 185.57/30.02  | | | | | | | Case 2:
% 185.57/30.02  | | | | | | | | 
% 185.57/30.02  | | | | | | | |   (106)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 185.57/30.02  | | | | | | | |              op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.57/30.02  | | | | | | | |              e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 185.57/30.02  | | | | | | | |            (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0
% 185.57/30.02  | | | | | | | |              & op(e0, e1) = e0))
% 185.57/30.02  | | | | | | | | 
% 185.57/30.02  | | | | | | | | ALPHA: (106) implies:
% 185.57/30.02  | | | | | | | |   (107)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.57/30.02  | | | | | | | |            op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.02  | | | | | | | | 
% 185.57/30.03  | | | | | | | | REF_CLOSE: (1), (3), (5), (6), (7), (9), (10), (11), (14), (16),
% 185.57/30.03  | | | | | | | |            (17), (19), (20), (28), (31), (33), (34), (36), (41),
% 185.57/30.03  | | | | | | | |            (42), (43), (44), (46), (60), (107) are inconsistent
% 185.57/30.03  | | | | | | | |            by sub-proof #629.
% 185.57/30.03  | | | | | | | | 
% 185.57/30.03  | | | | | | | End of split
% 185.57/30.03  | | | | | | | 
% 185.57/30.03  | | | | | | Case 2:
% 185.57/30.03  | | | | | | | 
% 185.57/30.03  | | | | | | |   (108)  all_56_3 = e3 & op(e2, e2) = e3
% 185.57/30.03  | | | | | | | 
% 185.57/30.03  | | | | | | | ALPHA: (108) implies:
% 185.57/30.03  | | | | | | |   (109)  op(e2, e2) = e3
% 185.57/30.03  | | | | | | | 
% 185.57/30.03  | | | | | | | REF_CLOSE: (16), (20), (26), (109) are inconsistent by sub-proof
% 185.57/30.03  | | | | | | |            #1347.
% 185.57/30.03  | | | | | | | 
% 185.57/30.03  | | | | | | End of split
% 185.57/30.03  | | | | | | 
% 185.57/30.03  | | | | | Case 2:
% 185.57/30.03  | | | | | | 
% 185.57/30.03  | | | | | |   (110)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 &
% 185.57/30.03  | | | | | |            op(e0, e2) = e3)
% 185.57/30.03  | | | | | | 
% 185.57/30.03  | | | | | | REF_CLOSE: (7), (8), (9), (13), (14), (16), (20), (23), (24), (29),
% 185.57/30.03  | | | | | |            (31), (38), (40), (43), (45), (48), (49), (110) are
% 185.57/30.03  | | | | | |            inconsistent by sub-proof #628.
% 185.57/30.03  | | | | | | 
% 185.57/30.03  | | | | | End of split
% 185.57/30.03  | | | | | 
% 185.57/30.03  | | | | Case 2:
% 185.57/30.03  | | | | | 
% 185.57/30.03  | | | | |   (111)  all_56_10 = e2 & op(e2, e0) = e2
% 185.57/30.03  | | | | | 
% 185.57/30.03  | | | | | REF_CLOSE: (31), (57), (111) are inconsistent by sub-proof #1502.
% 185.57/30.03  | | | | | 
% 185.57/30.03  | | | | End of split
% 185.57/30.03  | | | | 
% 185.57/30.03  | | | Case 2:
% 185.57/30.03  | | | | 
% 185.57/30.03  | | | |   (112)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0,
% 185.57/30.03  | | | |              e0) = e2)
% 185.57/30.03  | | | | 
% 185.57/30.03  | | | | REF_CLOSE: (1), (2), (7), (8), (9), (13), (14), (16), (17), (20), (31),
% 185.57/30.03  | | | |            (39), (42), (43), (51), (112) are inconsistent by sub-proof
% 185.57/30.03  | | | |            #634.
% 185.57/30.03  | | | | 
% 185.57/30.03  | | | End of split
% 185.57/30.03  | | | 
% 185.57/30.03  | | End of split
% 185.57/30.03  | | 
% 185.57/30.03  | End of split
% 185.57/30.03  | 
% 185.57/30.03  End of proof
% 185.57/30.03  
% 185.57/30.03  Sub-proof #628 shows that the following formulas are inconsistent:
% 185.57/30.03  ----------------------------------------------------------------
% 185.57/30.03    (1)   ~ (e1 = e0)
% 185.57/30.03    (2)  op(e1, e3) = all_52_2
% 185.57/30.03    (3)   ~ (e3 = e0)
% 185.57/30.03    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.03         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.03    (5)   ~ (e2 = e0)
% 185.57/30.03    (6)   ~ (e3 = e1)
% 185.57/30.03    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.03    (8)   ~ (all_52_6 = e2)
% 185.57/30.03    (9)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.57/30.03         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.57/30.03    (10)  all_56_6 = e3
% 185.57/30.03    (11)   ~ (e3 = e2)
% 185.57/30.03    (12)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.57/30.03    (13)   ~ (all_40_1 = e0)
% 185.57/30.03    (14)  op(e1, e2) = all_52_6
% 185.57/30.03    (15)   ~ (e2 = e1)
% 185.57/30.03    (16)  all_56_13 = e1
% 185.57/30.03    (17)  op(e1, e3) = all_40_1
% 185.57/30.03    (18)  all_56_11 = e1
% 185.57/30.03  
% 185.57/30.03  Begin of proof
% 185.57/30.03  | 
% 185.57/30.03  | BETA: splitting (12) gives:
% 185.57/30.03  | 
% 185.57/30.03  | Case 1:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (19)  all_56_7 = e3 & op(e1, e2) = e3
% 185.57/30.03  | | 
% 185.57/30.03  | | ALPHA: (19) implies:
% 185.57/30.03  | |   (20)  all_56_7 = e3
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (13), (14),
% 185.57/30.03  | |            (15), (17), (18), (20) are inconsistent by sub-proof #675.
% 185.57/30.03  | | 
% 185.57/30.03  | Case 2:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (21)  all_56_13 = e3 & op(e0, e2) = e3
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (6), (16), (21) are inconsistent by sub-proof #1066.
% 185.57/30.03  | | 
% 185.57/30.03  | End of split
% 185.57/30.03  | 
% 185.57/30.03  End of proof
% 185.57/30.03  
% 185.57/30.03  Sub-proof #629 shows that the following formulas are inconsistent:
% 185.57/30.03  ----------------------------------------------------------------
% 185.57/30.03    (1)  op(e0, e0) = all_6_2
% 185.57/30.03    (2)  all_56_9 = e2
% 185.57/30.03    (3)   ~ (all_4_2 = e0)
% 185.57/30.03    (4)   ~ (all_6_2 = e1)
% 185.57/30.03    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.57/30.03         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.57/30.03    (6)   ~ (e1 = e0)
% 185.57/30.03    (7)   ~ (e3 = e0)
% 185.57/30.03    (8)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.03         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.03    (9)  op(e2, e1) = e1
% 185.57/30.03    (10)   ~ (e2 = e0)
% 185.57/30.03    (11)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.57/30.03          | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.03    (12)   ~ (e3 = e1)
% 185.57/30.03    (13)   ~ (all_6_2 = e2)
% 185.57/30.03    (14)   ~ (all_52_7 = e0)
% 185.57/30.03    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.03            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.03    (16)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.57/30.03          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.57/30.03            e1)
% 185.57/30.03    (17)   ~ (e3 = e2)
% 185.57/30.03    (18)  op(e3, e1) = all_52_8
% 185.57/30.03    (19)  op(e3, e3) = all_4_2
% 185.57/30.03    (20)  op(e3, e2) = all_52_4
% 185.57/30.03    (21)   ~ (all_52_4 = e0)
% 185.57/30.03    (22)  op(e1, e1) = e2
% 185.57/30.03    (23)   ~ (e2 = e1)
% 185.57/30.03    (24)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.57/30.03          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.57/30.03            e2)
% 185.57/30.03    (25)  op(e0, e2) = all_52_7
% 185.57/30.03  
% 185.57/30.03  Begin of proof
% 185.57/30.03  | 
% 185.57/30.03  | BETA: splitting (5) gives:
% 185.57/30.03  | 
% 185.57/30.03  | Case 1:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (26)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 185.57/30.03  | |           e3)
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (2), (3), (7), (8), (9), (10), (12), (15), (18), (19), (20),
% 185.57/30.03  | |            (21), (26) are inconsistent by sub-proof #898.
% 185.57/30.03  | | 
% 185.57/30.03  | Case 2:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (27)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 185.57/30.03  | |           e3)
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (1), (4), (6), (7), (10), (11), (12), (13), (14), (15), (16),
% 185.57/30.03  | |            (17), (22), (23), (24), (25), (27) are inconsistent by sub-proof
% 185.57/30.03  | |            #724.
% 185.57/30.03  | | 
% 185.57/30.03  | End of split
% 185.57/30.03  | 
% 185.57/30.03  End of proof
% 185.57/30.03  
% 185.57/30.03  Sub-proof #630 shows that the following formulas are inconsistent:
% 185.57/30.03  ----------------------------------------------------------------
% 185.57/30.03    (1)  all_56_10 = e2
% 185.57/30.03    (2)  op(e2, e1) = e1
% 185.57/30.03    (3)   ~ (e3 = e1)
% 185.57/30.03    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.03    (5)   ~ (e3 = e2)
% 185.57/30.03    (6)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.57/30.03  
% 185.57/30.03  Begin of proof
% 185.57/30.03  | 
% 185.57/30.03  | BETA: splitting (6) gives:
% 185.57/30.03  | 
% 185.57/30.03  | Case 1:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (7)  all_56_5 = e3 & op(e2, e1) = e3
% 185.57/30.03  | | 
% 185.57/30.03  | | ALPHA: (7) implies:
% 185.57/30.03  | |   (8)  op(e2, e1) = e3
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1456.
% 185.57/30.03  | | 
% 185.57/30.03  | Case 2:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (9)  all_56_10 = e3 & op(e2, e0) = e3
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (1), (5), (9) are inconsistent by sub-proof #1331.
% 185.57/30.03  | | 
% 185.57/30.03  | End of split
% 185.57/30.03  | 
% 185.57/30.03  End of proof
% 185.57/30.03  
% 185.57/30.03  Sub-proof #631 shows that the following formulas are inconsistent:
% 185.57/30.03  ----------------------------------------------------------------
% 185.57/30.03    (1)   ~ (all_4_2 = e0)
% 185.57/30.03    (2)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 185.57/30.03    (3)  op(e1, e3) = all_52_2
% 185.57/30.03    (4)   ~ (e3 = e0)
% 185.57/30.03    (5)   ~ (e2 = e0)
% 185.57/30.03    (6)   ~ (e3 = e1)
% 185.57/30.03    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.03    (8)  all_56_12 = e2
% 185.57/30.03    (9)  op(e2, e2) = e1
% 185.57/30.03    (10)  op(e3, e3) = all_4_2
% 185.57/30.03    (11)   ~ (all_40_1 = e0)
% 185.57/30.03    (12)  op(e1, e3) = all_40_1
% 185.57/30.03    (13)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.57/30.03          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.57/30.03  
% 185.57/30.03  Begin of proof
% 185.57/30.03  | 
% 185.57/30.03  | BETA: splitting (2) gives:
% 185.57/30.03  | 
% 185.57/30.03  | Case 1:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (14)  all_56_2 = e3 & op(e2, e3) = e3
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (10), (11), (12), (13), (14) are
% 185.57/30.03  | |            inconsistent by sub-proof #684.
% 185.57/30.03  | | 
% 185.57/30.03  | Case 2:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (15)  all_56_3 = e3 & op(e2, e2) = e3
% 185.57/30.03  | | 
% 185.57/30.03  | | ALPHA: (15) implies:
% 185.57/30.03  | |   (16)  op(e2, e2) = e3
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (6), (7), (9), (16) are inconsistent by sub-proof #1347.
% 185.57/30.03  | | 
% 185.57/30.03  | End of split
% 185.57/30.03  | 
% 185.57/30.03  End of proof
% 185.57/30.03  
% 185.57/30.03  Sub-proof #632 shows that the following formulas are inconsistent:
% 185.57/30.03  ----------------------------------------------------------------
% 185.57/30.03    (1)   ~ (all_4_2 = e0)
% 185.57/30.03    (2)   ~ (e1 = e0)
% 185.57/30.03    (3)   ~ (e3 = e0)
% 185.57/30.03    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.03         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.03    (5)   ~ (e2 = e0)
% 185.57/30.03    (6)   ~ (e3 = e1)
% 185.57/30.03    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.03    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.03         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.03    (9)  all_56_4 = e1 & op(e3, e1) = e1
% 185.57/30.03    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.57/30.03          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.57/30.03    (11)   ~ (e3 = e2)
% 185.57/30.03    (12)  op(e3, e3) = e1
% 185.57/30.03    (13)  op(e3, e3) = all_4_2
% 185.57/30.03    (14)  op(e3, e2) = all_52_4
% 185.57/30.03    (15)   ~ (all_52_4 = e0)
% 185.57/30.03    (16)   ~ (e2 = e1)
% 185.57/30.03  
% 185.57/30.03  Begin of proof
% 185.57/30.03  | 
% 185.57/30.03  | ALPHA: (9) implies:
% 185.57/30.03  |   (17)  all_56_4 = e1
% 185.57/30.03  |   (18)  op(e3, e1) = e1
% 185.57/30.03  | 
% 185.57/30.03  | BETA: splitting (4) gives:
% 185.57/30.03  | 
% 185.57/30.03  | Case 1:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (19)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 185.57/30.03  | |           e0)
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (1), (7), (13), (14), (15), (19) are inconsistent by sub-proof
% 185.57/30.03  | |            #1060.
% 185.57/30.03  | | 
% 185.57/30.03  | Case 2:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (20)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 185.57/30.03  | |           e0)
% 185.57/30.03  | | 
% 185.57/30.03  | | BETA: splitting (20) gives:
% 185.57/30.03  | | 
% 185.57/30.03  | | Case 1:
% 185.57/30.03  | | | 
% 185.57/30.03  | | |   (21)  all_56_4 = e0 & op(e3, e1) = e0
% 185.57/30.03  | | | 
% 185.57/30.03  | | | ALPHA: (21) implies:
% 185.57/30.03  | | |   (22)  op(e3, e1) = e0
% 185.57/30.03  | | | 
% 185.57/30.03  | | | REF_CLOSE: (2), (7), (18), (22) are inconsistent by sub-proof #1571.
% 185.57/30.03  | | | 
% 185.57/30.03  | | Case 2:
% 185.57/30.03  | | | 
% 185.57/30.03  | | |   (23)  all_56_9 = e0 & op(e3, e0) = e0
% 185.57/30.03  | | | 
% 185.57/30.03  | | | ALPHA: (23) implies:
% 185.57/30.03  | | |   (24)  all_56_9 = e0
% 185.57/30.03  | | |   (25)  op(e3, e0) = e0
% 185.57/30.03  | | | 
% 185.57/30.03  | | | REF_CLOSE: (3), (5), (6), (7), (8), (10), (11), (12), (16), (17), (24),
% 185.57/30.03  | | |            (25) are inconsistent by sub-proof #670.
% 185.57/30.03  | | | 
% 185.57/30.03  | | End of split
% 185.57/30.03  | | 
% 185.57/30.03  | End of split
% 185.57/30.03  | 
% 185.57/30.03  End of proof
% 185.57/30.03  
% 185.57/30.03  Sub-proof #633 shows that the following formulas are inconsistent:
% 185.57/30.03  ----------------------------------------------------------------
% 185.57/30.03    (1)   ~ (e1 = e0)
% 185.57/30.03    (2)  op(e1, e3) = all_52_2
% 185.57/30.03    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.03    (4)  all_56_7 = e1
% 185.57/30.03    (5)   ~ (all_40_1 = e0)
% 185.57/30.03    (6)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0)
% 185.57/30.03    (7)  op(e1, e3) = all_40_1
% 185.57/30.03  
% 185.57/30.03  Begin of proof
% 185.57/30.03  | 
% 185.57/30.03  | BETA: splitting (6) gives:
% 185.57/30.03  | 
% 185.57/30.03  | Case 1:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (8)  all_56_6 = e0 & op(e1, e3) = e0
% 185.57/30.03  | | 
% 185.57/30.03  | | ALPHA: (8) implies:
% 185.57/30.03  | |   (9)  op(e1, e3) = e0
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (2), (3), (5), (7), (9) are inconsistent by sub-proof #698.
% 185.57/30.03  | | 
% 185.57/30.03  | Case 2:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (10)  all_56_7 = e0 & op(e1, e2) = e0
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (1), (4), (10) are inconsistent by sub-proof #875.
% 185.57/30.03  | | 
% 185.57/30.03  | End of split
% 185.57/30.03  | 
% 185.57/30.03  End of proof
% 185.57/30.03  
% 185.57/30.03  Sub-proof #634 shows that the following formulas are inconsistent:
% 185.57/30.03  ----------------------------------------------------------------
% 185.57/30.03    (1)  op(e0, e0) = all_6_2
% 185.57/30.03    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.57/30.03         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/30.03    (3)   ~ (e1 = e0)
% 185.57/30.03    (4)  op(e1, e3) = all_52_2
% 185.57/30.03    (5)   ~ (e3 = e0)
% 185.57/30.03    (6)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.03         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.03    (7)   ~ (e2 = e0)
% 185.57/30.03    (8)   ~ (e3 = e1)
% 185.57/30.03    (9)   ~ (all_6_2 = e2)
% 185.57/30.03    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.03            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.03    (11)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.57/30.03    (12)   ~ (e3 = e2)
% 185.57/30.03    (13)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.57/30.03          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.57/30.03    (14)  op(e1, e1) = e2
% 185.57/30.03    (15)   ~ (e2 = e1)
% 185.57/30.03    (16)   ~ (all_52_2 = e1)
% 185.57/30.03  
% 185.57/30.03  Begin of proof
% 185.57/30.03  | 
% 185.57/30.03  | BETA: splitting (11) gives:
% 185.57/30.03  | 
% 185.57/30.03  | Case 1:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (17)  all_56_11 = e2 & op(e1, e0) = e2
% 185.57/30.03  | | 
% 185.57/30.03  | | ALPHA: (17) implies:
% 185.57/30.03  | |   (18)  all_56_11 = e2
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (12), (13), (14), (15),
% 185.57/30.03  | |            (16), (18) are inconsistent by sub-proof #635.
% 185.57/30.03  | | 
% 185.57/30.03  | Case 2:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (19)  all_56_15 = e2 & op(e0, e0) = e2
% 185.57/30.03  | | 
% 185.57/30.03  | | ALPHA: (19) implies:
% 185.57/30.03  | |   (20)  op(e0, e0) = e2
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (1), (9), (10), (20) are inconsistent by sub-proof #1511.
% 185.57/30.03  | | 
% 185.57/30.03  | End of split
% 185.57/30.03  | 
% 185.57/30.03  End of proof
% 185.57/30.03  
% 185.57/30.03  Sub-proof #635 shows that the following formulas are inconsistent:
% 185.57/30.03  ----------------------------------------------------------------
% 185.57/30.03    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.57/30.03         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/30.03    (2)   ~ (e1 = e0)
% 185.57/30.03    (3)  op(e1, e3) = all_52_2
% 185.57/30.03    (4)   ~ (e3 = e0)
% 185.57/30.03    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.03         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.03    (6)   ~ (e2 = e0)
% 185.57/30.03    (7)   ~ (e3 = e1)
% 185.57/30.03    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.03    (9)  all_56_11 = e2
% 185.57/30.03    (10)   ~ (e3 = e2)
% 185.57/30.03    (11)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.57/30.03          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.57/30.03    (12)  op(e1, e1) = e2
% 185.57/30.03    (13)   ~ (e2 = e1)
% 185.57/30.03    (14)   ~ (all_52_2 = e1)
% 185.57/30.03  
% 185.57/30.03  Begin of proof
% 185.57/30.03  | 
% 185.57/30.03  | BETA: splitting (1) gives:
% 185.57/30.03  | 
% 185.57/30.03  | Case 1:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (15)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 185.57/30.03  | |           e1)
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.57/30.03  | |            (13), (14), (15) are inconsistent by sub-proof #640.
% 185.57/30.03  | | 
% 185.57/30.03  | Case 2:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (16)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 185.57/30.03  | |           e1)
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (8), (9), (12), (13), (16) are inconsistent by sub-proof #636.
% 185.57/30.03  | | 
% 185.57/30.03  | End of split
% 185.57/30.03  | 
% 185.57/30.03  End of proof
% 185.57/30.03  
% 185.57/30.03  Sub-proof #636 shows that the following formulas are inconsistent:
% 185.57/30.03  ----------------------------------------------------------------
% 185.57/30.03    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.03    (2)  all_56_11 = e2
% 185.57/30.03    (3)  op(e1, e1) = e2
% 185.57/30.03    (4)   ~ (e2 = e1)
% 185.57/30.03    (5)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/30.03  
% 185.57/30.03  Begin of proof
% 185.57/30.03  | 
% 185.57/30.03  | BETA: splitting (5) gives:
% 185.57/30.03  | 
% 185.57/30.03  | Case 1:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (6)  all_56_8 = e1 & op(e1, e1) = e1
% 185.57/30.03  | | 
% 185.57/30.03  | | ALPHA: (6) implies:
% 185.57/30.03  | |   (7)  op(e1, e1) = e1
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (1), (3), (4), (7) are inconsistent by sub-proof #1473.
% 185.57/30.03  | | 
% 185.57/30.03  | Case 2:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (8)  all_56_11 = e1 & op(e1, e0) = e1
% 185.57/30.03  | | 
% 185.57/30.03  | | ALPHA: (8) implies:
% 185.57/30.03  | |   (9)  all_56_11 = e1
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #1229.
% 185.57/30.03  | | 
% 185.57/30.03  | End of split
% 185.57/30.03  | 
% 185.57/30.03  End of proof
% 185.57/30.03  
% 185.57/30.03  Sub-proof #637 shows that the following formulas are inconsistent:
% 185.57/30.03  ----------------------------------------------------------------
% 185.57/30.03    (1)  op(e0, e0) = all_6_2
% 185.57/30.03    (2)  all_56_9 = e2
% 185.57/30.03    (3)   ~ (all_4_2 = e0)
% 185.57/30.03    (4)   ~ (all_6_2 = e1)
% 185.57/30.03    (5)   ~ (e1 = e0)
% 185.57/30.03    (6)  op(e1, e3) = all_52_2
% 185.57/30.03    (7)   ~ (e3 = e0)
% 185.57/30.03    (8)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.57/30.03         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.57/30.03    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.03         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.03    (10)  all_56_3 = e2
% 185.57/30.03    (11)   ~ (e2 = e0)
% 185.57/30.03    (12)   ~ (e3 = e1)
% 185.57/30.03    (13)  all_56_14 = e2
% 185.57/30.03    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.03            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.03    (15)  all_56_12 = e2
% 185.57/30.03    (16)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.57/30.03          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.03    (17)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.03          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.03    (18)  all_56_11 = e2
% 185.57/30.03    (19)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.57/30.03          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.57/30.03    (20)   ~ (e3 = e2)
% 185.57/30.03    (21)  op(e3, e3) = e1
% 185.57/30.03    (22)  op(e3, e1) = all_52_8
% 185.57/30.03    (23)  op(e3, e3) = all_4_2
% 185.57/30.03    (24)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.57/30.03          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.57/30.03    (25)   ~ (all_40_1 = e0)
% 185.57/30.03    (26)  op(e1, e1) = e2
% 185.57/30.03    (27)   ~ (e2 = e1)
% 185.57/30.03    (28)  op(e1, e3) = all_40_1
% 185.57/30.03    (29)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.57/30.03          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.57/30.03    (30)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.57/30.03          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.57/30.03  
% 185.57/30.03  Begin of proof
% 185.57/30.03  | 
% 185.57/30.03  | BETA: splitting (8) gives:
% 185.57/30.03  | 
% 185.57/30.03  | Case 1:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (31)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 185.57/30.03  | |           e1)
% 185.57/30.03  | | 
% 185.57/30.03  | | BETA: splitting (31) gives:
% 185.57/30.03  | | 
% 185.57/30.03  | | Case 1:
% 185.57/30.03  | | | 
% 185.57/30.03  | | |   (32)  all_56_9 = e1 & op(e3, e0) = e1
% 185.57/30.03  | | | 
% 185.57/30.03  | | | ALPHA: (32) implies:
% 185.57/30.03  | | |   (33)  all_56_9 = e1
% 185.57/30.03  | | | 
% 185.57/30.03  | | | REF_CLOSE: (3), (5), (7), (9), (11), (12), (14), (17), (19), (20), (21),
% 185.57/30.03  | | |            (22), (23), (27), (33) are inconsistent by sub-proof #1103.
% 185.57/30.03  | | | 
% 185.57/30.03  | | Case 2:
% 185.57/30.03  | | | 
% 185.57/30.03  | | |   (34)  all_56_10 = e1 & op(e2, e0) = e1
% 185.57/30.03  | | | 
% 185.57/30.03  | | | ALPHA: (34) implies:
% 185.57/30.03  | | |   (35)  all_56_10 = e1
% 185.57/30.03  | | | 
% 185.57/30.03  | | | REF_CLOSE: (3), (5), (6), (7), (10), (11), (12), (13), (14), (15), (16),
% 185.57/30.03  | | |            (20), (23), (24), (25), (26), (27), (28), (29), (30), (35) are
% 185.57/30.03  | | |            inconsistent by sub-proof #642.
% 185.57/30.03  | | | 
% 185.57/30.03  | | End of split
% 185.57/30.03  | | 
% 185.57/30.03  | Case 2:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (36)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.57/30.03  | |           e1)
% 185.57/30.03  | | 
% 185.57/30.03  | | BETA: splitting (36) gives:
% 185.57/30.03  | | 
% 185.57/30.03  | | Case 1:
% 185.57/30.03  | | | 
% 185.57/30.03  | | |   (37)  all_56_11 = e1 & op(e1, e0) = e1
% 185.57/30.03  | | | 
% 185.57/30.03  | | | ALPHA: (37) implies:
% 185.57/30.03  | | |   (38)  all_56_11 = e1
% 185.57/30.03  | | | 
% 185.57/30.03  | | | COMBINE_EQS: (18), (38) imply:
% 185.57/30.03  | | |   (39)  e2 = e1
% 185.57/30.03  | | | 
% 185.57/30.03  | | | COMBINE_EQS: (2), (39) imply:
% 185.57/30.03  | | |   (40)  all_56_9 = e1
% 185.57/30.03  | | | 
% 185.57/30.03  | | | REF_CLOSE: (3), (5), (7), (9), (11), (12), (14), (17), (19), (20), (21),
% 185.57/30.03  | | |            (22), (23), (27), (40) are inconsistent by sub-proof #1103.
% 185.57/30.03  | | | 
% 185.57/30.03  | | Case 2:
% 185.57/30.03  | | | 
% 185.57/30.03  | | |   (41)  all_56_15 = e1 & op(e0, e0) = e1
% 185.57/30.03  | | | 
% 185.57/30.03  | | | ALPHA: (41) implies:
% 185.57/30.03  | | |   (42)  op(e0, e0) = e1
% 185.57/30.03  | | | 
% 185.57/30.03  | | | REF_CLOSE: (1), (4), (14), (42) are inconsistent by sub-proof #1516.
% 185.57/30.03  | | | 
% 185.57/30.03  | | End of split
% 185.57/30.03  | | 
% 185.57/30.03  | End of split
% 185.57/30.03  | 
% 185.57/30.03  End of proof
% 185.57/30.03  
% 185.57/30.03  Sub-proof #638 shows that the following formulas are inconsistent:
% 185.57/30.03  ----------------------------------------------------------------
% 185.57/30.03    (1)  all_56_2 = e2 & op(e2, e3) = e2
% 185.57/30.03    (2)  all_56_2 = e0
% 185.57/30.03    (3)   ~ (e2 = e0)
% 185.57/30.03  
% 185.57/30.03  Begin of proof
% 185.57/30.03  | 
% 185.57/30.03  | ALPHA: (1) implies:
% 185.57/30.03  |   (4)  all_56_2 = e2
% 185.57/30.03  | 
% 185.57/30.03  | COMBINE_EQS: (2), (4) imply:
% 185.57/30.03  |   (5)  e2 = e0
% 185.57/30.03  | 
% 185.57/30.03  | REDUCE: (3), (5) imply:
% 185.57/30.03  |   (6)  $false
% 185.57/30.03  | 
% 185.57/30.03  | CLOSE: (6) is inconsistent.
% 185.57/30.03  | 
% 185.57/30.03  End of proof
% 185.57/30.03  
% 185.57/30.03  Sub-proof #639 shows that the following formulas are inconsistent:
% 185.57/30.03  ----------------------------------------------------------------
% 185.57/30.03    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.57/30.03         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/30.03    (2)   ~ (all_4_2 = e0)
% 185.57/30.03    (3)   ~ (e1 = e0)
% 185.57/30.03    (4)  op(e1, e3) = all_52_2
% 185.57/30.03    (5)   ~ (e3 = e0)
% 185.57/30.03    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.03         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.03    (7)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.03         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.03    (8)   ~ (e2 = e0)
% 185.57/30.03    (9)   ~ (e3 = e1)
% 185.57/30.03    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.03            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.03    (11)  all_56_1 = e3
% 185.57/30.03    (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.03          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.03    (13)  all_56_11 = e2
% 185.57/30.03    (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.57/30.03          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.57/30.03    (15)   ~ (e3 = e2)
% 185.57/30.03    (16)  e3 = e2
% 185.57/30.03    (17)  op(e3, e3) = e1
% 185.57/30.03    (18)  op(e3, e1) = all_52_8
% 185.57/30.03    (19)  op(e3, e3) = all_4_2
% 185.57/30.03    (20)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.57/30.03          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.57/30.03    (21)  op(e1, e1) = e2
% 185.57/30.03    (22)   ~ (e2 = e1)
% 185.57/30.03    (23)   ~ (all_52_2 = e1)
% 185.57/30.03  
% 185.57/30.03  Begin of proof
% 185.57/30.03  | 
% 185.57/30.03  | COMBINE_EQS: (11), (16) imply:
% 185.57/30.03  |   (24)  all_56_1 = e2
% 185.57/30.03  | 
% 185.57/30.03  | BETA: splitting (1) gives:
% 185.57/30.03  | 
% 185.57/30.03  | Case 1:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (25)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 185.57/30.03  | |           e1)
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (10), (13), (15), (20), (21),
% 185.57/30.03  | |            (22), (23), (25) are inconsistent by sub-proof #640.
% 185.57/30.03  | | 
% 185.57/30.03  | Case 2:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (26)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 185.57/30.03  | |           e1)
% 185.57/30.03  | | 
% 185.57/30.03  | | BETA: splitting (26) gives:
% 185.57/30.03  | | 
% 185.57/30.03  | | Case 1:
% 185.57/30.03  | | | 
% 185.57/30.03  | | |   (27)  all_56_8 = e1 & op(e1, e1) = e1
% 185.57/30.03  | | | 
% 185.57/30.03  | | | ALPHA: (27) implies:
% 185.57/30.03  | | |   (28)  op(e1, e1) = e1
% 185.57/30.03  | | | 
% 185.57/30.03  | | | REF_CLOSE: (10), (21), (22), (28) are inconsistent by sub-proof #1473.
% 185.57/30.03  | | | 
% 185.57/30.03  | | Case 2:
% 185.57/30.03  | | | 
% 185.57/30.03  | | |   (29)  all_56_11 = e1 & op(e1, e0) = e1
% 185.57/30.03  | | | 
% 185.57/30.03  | | | ALPHA: (29) implies:
% 185.57/30.03  | | |   (30)  all_56_11 = e1
% 185.57/30.03  | | | 
% 185.57/30.03  | | | COMBINE_EQS: (13), (30) imply:
% 185.57/30.03  | | |   (31)  e2 = e1
% 185.57/30.03  | | | 
% 185.57/30.03  | | | SIMP: (31) implies:
% 185.57/30.03  | | |   (32)  e2 = e1
% 185.57/30.03  | | | 
% 185.57/30.03  | | | COMBINE_EQS: (24), (32) imply:
% 185.57/30.03  | | |   (33)  all_56_1 = e1
% 185.57/30.03  | | | 
% 185.57/30.03  | | | REF_CLOSE: (2), (3), (5), (6), (8), (9), (10), (12), (14), (15), (17),
% 185.57/30.03  | | |            (18), (19), (22), (33) are inconsistent by sub-proof #1186.
% 185.57/30.03  | | | 
% 185.57/30.03  | | End of split
% 185.57/30.03  | | 
% 185.57/30.03  | End of split
% 185.57/30.03  | 
% 185.57/30.03  End of proof
% 185.57/30.03  
% 185.57/30.03  Sub-proof #640 shows that the following formulas are inconsistent:
% 185.57/30.03  ----------------------------------------------------------------
% 185.57/30.03    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.57/30.03         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/30.03    (2)   ~ (e1 = e0)
% 185.57/30.03    (3)  op(e1, e3) = all_52_2
% 185.57/30.03    (4)   ~ (e3 = e0)
% 185.57/30.03    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.03         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.03    (6)   ~ (e2 = e0)
% 185.57/30.03    (7)   ~ (e3 = e1)
% 185.57/30.03    (8)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1)
% 185.57/30.03    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.03           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.03    (10)  all_56_11 = e2
% 185.57/30.03    (11)   ~ (e3 = e2)
% 185.57/30.03    (12)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.57/30.03          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.57/30.03    (13)  op(e1, e1) = e2
% 185.57/30.03    (14)   ~ (e2 = e1)
% 185.57/30.03    (15)   ~ (all_52_2 = e1)
% 185.57/30.03  
% 185.57/30.03  Begin of proof
% 185.57/30.03  | 
% 185.57/30.03  | BETA: splitting (8) gives:
% 185.57/30.03  | 
% 185.57/30.03  | Case 1:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (16)  all_56_6 = e1 & op(e1, e3) = e1
% 185.57/30.03  | | 
% 185.57/30.03  | | ALPHA: (16) implies:
% 185.57/30.03  | |   (17)  op(e1, e3) = e1
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (3), (9), (15), (17) are inconsistent by sub-proof #1597.
% 185.57/30.03  | | 
% 185.57/30.03  | Case 2:
% 185.57/30.03  | | 
% 185.57/30.03  | |   (18)  all_56_7 = e1 & op(e1, e2) = e1
% 185.57/30.03  | | 
% 185.57/30.03  | | ALPHA: (18) implies:
% 185.57/30.03  | |   (19)  all_56_7 = e1
% 185.57/30.03  | | 
% 185.57/30.03  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (9), (10), (11), (12), (13), (14),
% 185.57/30.03  | |            (19) are inconsistent by sub-proof #887.
% 185.57/30.03  | | 
% 185.57/30.03  | End of split
% 185.57/30.03  | 
% 185.57/30.03  End of proof
% 185.57/30.03  
% 185.57/30.03  Sub-proof #641 shows that the following formulas are inconsistent:
% 185.57/30.03  ----------------------------------------------------------------
% 185.57/30.03    (1)  all_56_9 = e2
% 185.57/30.03    (2)   ~ (all_4_2 = e0)
% 185.57/30.03    (3)   ~ (e1 = e0)
% 185.57/30.03    (4)  op(e1, e3) = all_52_2
% 185.57/30.03    (5)   ~ (e3 = e0)
% 185.57/30.03    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.03         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.03    (7)   ~ (e2 = e0)
% 185.57/30.03    (8)   ~ (e3 = e1)
% 185.57/30.03    (9)  all_56_14 = e2
% 185.57/30.03    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.03            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.03    (11)  all_56_12 = e2
% 185.57/30.03    (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.57/30.03          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.03    (13)  all_56_1 = e3
% 185.57/30.03    (14)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.03          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.04    (15)   ~ (e3 = e2)
% 185.57/30.04    (16)  op(e3, e3) = e1
% 185.57/30.04    (17)  all_56_10 = e1
% 185.57/30.04    (18)  op(e3, e1) = all_52_8
% 185.57/30.04    (19)  op(e3, e3) = all_4_2
% 185.57/30.04    (20)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.57/30.04          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.57/30.04    (21)   ~ (all_40_1 = e0)
% 185.57/30.04    (22)  op(e1, e1) = e2
% 185.57/30.04    (23)   ~ (e2 = e1)
% 185.57/30.04    (24)  op(e1, e3) = all_40_1
% 185.57/30.04    (25)  op(e2, e2) = e2
% 185.57/30.04    (26)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.57/30.04          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.57/30.04    (27)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.57/30.04          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.57/30.04  
% 185.57/30.04  Begin of proof
% 185.57/30.04  | 
% 185.57/30.04  | BETA: splitting (20) gives:
% 185.57/30.04  | 
% 185.57/30.04  | Case 1:
% 185.57/30.04  | | 
% 185.57/30.04  | |   (28)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 185.57/30.04  | |           e3)
% 185.57/30.04  | | 
% 185.57/30.04  | | REF_CLOSE: (2), (4), (5), (7), (10), (11), (15), (19), (21), (24), (25),
% 185.57/30.04  | |            (26), (28) are inconsistent by sub-proof #683.
% 185.57/30.04  | | 
% 185.57/30.04  | Case 2:
% 185.57/30.04  | | 
% 185.57/30.04  | |   (29)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.57/30.04  | |           e3)
% 185.57/30.04  | | 
% 185.57/30.04  | | BETA: splitting (29) gives:
% 185.57/30.04  | | 
% 185.57/30.04  | | Case 1:
% 185.57/30.04  | | | 
% 185.57/30.04  | | |   (30)  all_56_5 = e3 & op(e2, e1) = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | ALPHA: (30) implies:
% 185.57/30.04  | | |   (31)  all_56_5 = e3
% 185.57/30.04  | | |   (32)  op(e2, e1) = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | REF_CLOSE: (3), (5), (7), (8), (9), (10), (12), (22), (23), (27), (31),
% 185.57/30.04  | | |            (32) are inconsistent by sub-proof #979.
% 185.57/30.04  | | | 
% 185.57/30.04  | | Case 2:
% 185.57/30.04  | | | 
% 185.57/30.04  | | |   (33)  all_56_10 = e3 & op(e2, e0) = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | ALPHA: (33) implies:
% 185.57/30.04  | | |   (34)  all_56_10 = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (10), (13), (14), (15),
% 185.57/30.04  | | |            (16), (17), (18), (19), (34) are inconsistent by sub-proof
% 185.57/30.04  | | |            #652.
% 185.57/30.04  | | | 
% 185.57/30.04  | | End of split
% 185.57/30.04  | | 
% 185.57/30.04  | End of split
% 185.57/30.04  | 
% 185.57/30.04  End of proof
% 185.57/30.04  
% 185.57/30.04  Sub-proof #642 shows that the following formulas are inconsistent:
% 185.57/30.04  ----------------------------------------------------------------
% 185.57/30.04    (1)   ~ (all_4_2 = e0)
% 185.57/30.04    (2)   ~ (e1 = e0)
% 185.57/30.04    (3)  op(e1, e3) = all_52_2
% 185.57/30.04    (4)   ~ (e3 = e0)
% 185.57/30.04    (5)  all_56_3 = e2
% 185.57/30.04    (6)   ~ (e2 = e0)
% 185.57/30.04    (7)   ~ (e3 = e1)
% 185.57/30.04    (8)  all_56_14 = e2
% 185.57/30.04    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.04    (10)  all_56_12 = e2
% 185.57/30.04    (11)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.57/30.04          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.04    (12)   ~ (e3 = e2)
% 185.57/30.04    (13)  all_56_10 = e1
% 185.57/30.04    (14)  op(e3, e3) = all_4_2
% 185.57/30.04    (15)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.57/30.04          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.57/30.04    (16)   ~ (all_40_1 = e0)
% 185.57/30.04    (17)  op(e1, e1) = e2
% 185.57/30.04    (18)   ~ (e2 = e1)
% 185.57/30.04    (19)  op(e1, e3) = all_40_1
% 185.57/30.04    (20)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.57/30.04          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.57/30.04    (21)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.57/30.04          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.57/30.04  
% 185.57/30.04  Begin of proof
% 185.57/30.04  | 
% 185.57/30.04  | BETA: splitting (15) gives:
% 185.57/30.04  | 
% 185.57/30.04  | Case 1:
% 185.57/30.04  | | 
% 185.57/30.04  | |   (22)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 185.57/30.04  | |           e3)
% 185.57/30.04  | | 
% 185.57/30.04  | | BETA: splitting (22) gives:
% 185.57/30.04  | | 
% 185.57/30.04  | | Case 1:
% 185.57/30.04  | | | 
% 185.57/30.04  | | |   (23)  all_56_2 = e3 & op(e2, e3) = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | REF_CLOSE: (1), (3), (4), (6), (9), (10), (14), (16), (19), (20), (23) are
% 185.57/30.04  | | |            inconsistent by sub-proof #684.
% 185.57/30.04  | | | 
% 185.57/30.04  | | Case 2:
% 185.57/30.04  | | | 
% 185.57/30.04  | | |   (24)  all_56_3 = e3 & op(e2, e2) = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | ALPHA: (24) implies:
% 185.57/30.04  | | |   (25)  all_56_3 = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | COMBINE_EQS: (5), (25) imply:
% 185.57/30.04  | | |   (26)  e3 = e2
% 185.57/30.04  | | | 
% 185.57/30.04  | | | SIMP: (26) implies:
% 185.57/30.04  | | |   (27)  e3 = e2
% 185.57/30.04  | | | 
% 185.57/30.04  | | | REDUCE: (12), (27) imply:
% 185.57/30.04  | | |   (28)  $false
% 185.57/30.04  | | | 
% 185.57/30.04  | | | CLOSE: (28) is inconsistent.
% 185.57/30.04  | | | 
% 185.57/30.04  | | End of split
% 185.57/30.04  | | 
% 185.57/30.04  | Case 2:
% 185.57/30.04  | | 
% 185.57/30.04  | |   (29)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.57/30.04  | |           e3)
% 185.57/30.04  | | 
% 185.57/30.04  | | BETA: splitting (29) gives:
% 185.57/30.04  | | 
% 185.57/30.04  | | Case 1:
% 185.57/30.04  | | | 
% 185.57/30.04  | | |   (30)  all_56_5 = e3 & op(e2, e1) = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | ALPHA: (30) implies:
% 185.57/30.04  | | |   (31)  all_56_5 = e3
% 185.57/30.04  | | |   (32)  op(e2, e1) = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | REF_CLOSE: (2), (4), (6), (7), (8), (9), (11), (17), (18), (21), (31),
% 185.57/30.04  | | |            (32) are inconsistent by sub-proof #979.
% 185.57/30.04  | | | 
% 185.57/30.04  | | Case 2:
% 185.57/30.04  | | | 
% 185.57/30.04  | | |   (33)  all_56_10 = e3 & op(e2, e0) = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | ALPHA: (33) implies:
% 185.57/30.04  | | |   (34)  all_56_10 = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | REF_CLOSE: (7), (13), (34) are inconsistent by sub-proof #1489.
% 185.57/30.04  | | | 
% 185.57/30.04  | | End of split
% 185.57/30.04  | | 
% 185.57/30.04  | End of split
% 185.57/30.04  | 
% 185.57/30.04  End of proof
% 185.57/30.04  
% 185.57/30.04  Sub-proof #643 shows that the following formulas are inconsistent:
% 185.57/30.04  ----------------------------------------------------------------
% 185.57/30.04    (1)  op(e0, e0) = all_6_2
% 185.57/30.04    (2)   ~ (all_6_2 = e1)
% 185.57/30.04    (3)   ~ (e1 = e0)
% 185.57/30.04    (4)  all_56_13 = e3
% 185.57/30.04    (5)   ~ (e3 = e0)
% 185.57/30.04    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.57/30.04         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.57/30.04    (7)   ~ (e2 = e0)
% 185.57/30.04    (8)   ~ (e3 = e1)
% 185.57/30.04    (9)   ~ (all_52_4 = all_52_7)
% 185.57/30.04    (10)   ~ (all_6_2 = e2)
% 185.57/30.04    (11)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.57/30.04          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.57/30.04    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.04            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.04    (13)  all_56_12 = e0
% 185.57/30.04    (14)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.57/30.04          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.57/30.04            e1)
% 185.57/30.04    (15)  all_56_6 = e3
% 185.57/30.04    (16)   ~ (e3 = e2)
% 185.57/30.04    (17)  op(e3, e3) = e1
% 185.57/30.04    (18)  op(e3, e2) = all_52_4
% 185.57/30.04    (19)   ~ (e2 = e1)
% 185.57/30.04    (20)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.57/30.04          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.57/30.04            e2)
% 185.57/30.04    (21)  op(e3, e2) = e2
% 185.57/30.04    (22)  op(e0, e3) = e0
% 185.57/30.04    (23)  op(e0, e2) = all_52_7
% 185.57/30.04  
% 185.57/30.04  Begin of proof
% 185.57/30.04  | 
% 185.57/30.04  | BETA: splitting (20) gives:
% 185.57/30.04  | 
% 185.57/30.04  | Case 1:
% 185.57/30.04  | | 
% 185.57/30.04  | |   (24)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 185.57/30.04  | |           e2)
% 185.57/30.04  | | 
% 185.57/30.04  | | BETA: splitting (24) gives:
% 185.57/30.04  | | 
% 185.57/30.04  | | Case 1:
% 185.57/30.04  | | | 
% 185.57/30.04  | | |   (25)  all_56_12 = e2 & op(e0, e3) = e2
% 185.57/30.04  | | | 
% 185.57/30.04  | | | ALPHA: (25) implies:
% 185.57/30.04  | | |   (26)  all_56_12 = e2
% 185.57/30.04  | | | 
% 185.57/30.04  | | | REF_CLOSE: (7), (13), (26) are inconsistent by sub-proof #1548.
% 185.57/30.04  | | | 
% 185.57/30.04  | | Case 2:
% 185.57/30.04  | | | 
% 185.57/30.04  | | |   (27)  all_56_13 = e2 & op(e0, e2) = e2
% 185.57/30.04  | | | 
% 185.57/30.04  | | | ALPHA: (27) implies:
% 185.57/30.04  | | |   (28)  op(e0, e2) = e2
% 185.57/30.04  | | | 
% 185.57/30.04  | | | REF_CLOSE: (9), (12), (18), (21), (23), (28) are inconsistent by sub-proof
% 185.57/30.04  | | |            #1342.
% 185.57/30.04  | | | 
% 185.57/30.04  | | End of split
% 185.57/30.04  | | 
% 185.57/30.04  | Case 2:
% 185.57/30.04  | | 
% 185.57/30.04  | |   (29)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.57/30.04  | |           e2)
% 185.57/30.04  | | 
% 185.57/30.04  | | BETA: splitting (29) gives:
% 185.57/30.04  | | 
% 185.57/30.04  | | Case 1:
% 185.57/30.04  | | | 
% 185.57/30.04  | | |   (30)  all_56_14 = e2 & op(e0, e1) = e2
% 185.57/30.04  | | | 
% 185.57/30.04  | | | ALPHA: (30) implies:
% 185.57/30.04  | | |   (31)  all_56_14 = e2
% 185.57/30.04  | | | 
% 185.57/30.04  | | | BETA: splitting (14) gives:
% 185.57/30.04  | | | 
% 185.57/30.04  | | | Case 1:
% 185.57/30.04  | | | | 
% 185.57/30.04  | | | |   (32)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0,
% 185.57/30.04  | | | |             e2) = e1)
% 185.57/30.04  | | | | 
% 185.57/30.04  | | | | BETA: splitting (32) gives:
% 185.57/30.04  | | | | 
% 185.57/30.04  | | | | Case 1:
% 185.57/30.04  | | | | | 
% 185.57/30.04  | | | | |   (33)  all_56_12 = e1 & op(e0, e3) = e1
% 185.57/30.04  | | | | | 
% 185.57/30.04  | | | | | ALPHA: (33) implies:
% 185.57/30.04  | | | | |   (34)  op(e0, e3) = e1
% 185.57/30.04  | | | | | 
% 185.57/30.04  | | | | | REF_CLOSE: (3), (12), (22), (34) are inconsistent by sub-proof #1589.
% 185.57/30.04  | | | | | 
% 185.57/30.04  | | | | Case 2:
% 185.57/30.04  | | | | | 
% 185.57/30.04  | | | | |   (35)  all_56_13 = e1 & op(e0, e2) = e1
% 185.57/30.04  | | | | | 
% 185.57/30.04  | | | | | ALPHA: (35) implies:
% 185.57/30.04  | | | | |   (36)  all_56_13 = e1
% 185.57/30.04  | | | | | 
% 185.57/30.04  | | | | | COMBINE_EQS: (4), (36) imply:
% 185.57/30.04  | | | | |   (37)  e3 = e1
% 185.57/30.04  | | | | | 
% 185.57/30.04  | | | | | REF_CLOSE: (5), (6), (7), (8), (11), (12), (13), (15), (16), (17),
% 185.57/30.04  | | | | |            (19), (37) are inconsistent by sub-proof #644.
% 185.57/30.04  | | | | | 
% 185.57/30.04  | | | | End of split
% 185.57/30.04  | | | | 
% 185.57/30.04  | | | Case 2:
% 185.57/30.04  | | | | 
% 185.57/30.04  | | | |   (38)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 185.57/30.04  | | | |             e0) = e1)
% 185.57/30.04  | | | | 
% 185.57/30.04  | | | | REF_CLOSE: (1), (2), (12), (19), (31), (38) are inconsistent by
% 185.57/30.04  | | | |            sub-proof #992.
% 185.57/30.04  | | | | 
% 185.57/30.04  | | | End of split
% 185.57/30.04  | | | 
% 185.57/30.04  | | Case 2:
% 185.57/30.04  | | | 
% 185.57/30.04  | | |   (39)  all_56_15 = e2 & op(e0, e0) = e2
% 185.57/30.04  | | | 
% 185.57/30.04  | | | ALPHA: (39) implies:
% 185.57/30.04  | | |   (40)  op(e0, e0) = e2
% 185.57/30.04  | | | 
% 185.57/30.04  | | | REF_CLOSE: (1), (10), (12), (40) are inconsistent by sub-proof #1511.
% 185.57/30.04  | | | 
% 185.57/30.04  | | End of split
% 185.57/30.04  | | 
% 185.57/30.04  | End of split
% 185.57/30.04  | 
% 185.57/30.04  End of proof
% 185.57/30.04  
% 185.57/30.04  Sub-proof #644 shows that the following formulas are inconsistent:
% 185.57/30.04  ----------------------------------------------------------------
% 185.57/30.04    (1)   ~ (e3 = e0)
% 185.57/30.04    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.57/30.04         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.57/30.04    (3)   ~ (e2 = e0)
% 185.57/30.04    (4)   ~ (e3 = e1)
% 185.57/30.04    (5)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.57/30.04         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.57/30.04    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.04    (7)  all_56_12 = e0
% 185.57/30.04    (8)  all_56_6 = e3
% 185.57/30.04    (9)   ~ (e3 = e2)
% 185.57/30.04    (10)  op(e3, e3) = e1
% 185.57/30.04    (11)  e3 = e1
% 185.57/30.04    (12)   ~ (e2 = e1)
% 185.57/30.04  
% 185.57/30.04  Begin of proof
% 185.57/30.04  | 
% 185.57/30.04  | SIMP: (11) implies:
% 185.57/30.04  |   (13)  e3 = e1
% 185.57/30.04  | 
% 185.57/30.04  | COMBINE_EQS: (8), (13) imply:
% 185.57/30.04  |   (14)  all_56_6 = e1
% 185.57/30.04  | 
% 185.57/30.04  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (12), (14) are
% 185.57/30.04  |            inconsistent by sub-proof #645.
% 185.57/30.04  | 
% 185.57/30.04  End of proof
% 185.57/30.04  
% 185.57/30.04  Sub-proof #645 shows that the following formulas are inconsistent:
% 185.57/30.04  ----------------------------------------------------------------
% 185.57/30.04    (1)   ~ (e3 = e0)
% 185.57/30.04    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.57/30.04         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.57/30.04    (3)   ~ (e2 = e0)
% 185.57/30.04    (4)   ~ (e3 = e1)
% 185.57/30.04    (5)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.57/30.04         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.57/30.04    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.04    (7)  all_56_12 = e0
% 185.57/30.04    (8)   ~ (e3 = e2)
% 185.57/30.04    (9)  op(e3, e3) = e1
% 185.57/30.04    (10)   ~ (e2 = e1)
% 185.57/30.04    (11)  all_56_6 = e1
% 185.57/30.04  
% 185.57/30.04  Begin of proof
% 185.57/30.04  | 
% 185.57/30.04  | BETA: splitting (5) gives:
% 185.57/30.04  | 
% 185.57/30.04  | Case 1:
% 185.57/30.04  | | 
% 185.57/30.04  | |   (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 185.57/30.04  | |           e3)
% 185.57/30.04  | | 
% 185.57/30.04  | | BETA: splitting (12) gives:
% 185.57/30.04  | | 
% 185.57/30.04  | | Case 1:
% 185.57/30.04  | | | 
% 185.57/30.04  | | |   (13)  all_56_0 = e3 & op(e3, e3) = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | ALPHA: (13) implies:
% 185.57/30.04  | | |   (14)  op(e3, e3) = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | REF_CLOSE: (4), (6), (9), (14) are inconsistent by sub-proof #1600.
% 185.57/30.04  | | | 
% 185.57/30.04  | | Case 2:
% 185.57/30.04  | | | 
% 185.57/30.04  | | |   (15)  all_56_2 = e3 & op(e2, e3) = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | ALPHA: (15) implies:
% 185.57/30.04  | | |   (16)  all_56_2 = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | REF_CLOSE: (2), (3), (6), (7), (8), (9), (10), (11), (16) are inconsistent
% 185.57/30.04  | | |            by sub-proof #994.
% 185.57/30.04  | | | 
% 185.57/30.04  | | End of split
% 185.57/30.04  | | 
% 185.57/30.04  | Case 2:
% 185.57/30.04  | | 
% 185.57/30.04  | |   (17)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 185.57/30.04  | |           e3)
% 185.57/30.04  | | 
% 185.57/30.04  | | BETA: splitting (17) gives:
% 185.57/30.04  | | 
% 185.57/30.04  | | Case 1:
% 185.57/30.04  | | | 
% 185.57/30.04  | | |   (18)  all_56_6 = e3 & op(e1, e3) = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | ALPHA: (18) implies:
% 185.57/30.04  | | |   (19)  all_56_6 = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | REF_CLOSE: (4), (11), (19) are inconsistent by sub-proof #1546.
% 185.57/30.04  | | | 
% 185.57/30.04  | | Case 2:
% 185.57/30.04  | | | 
% 185.57/30.04  | | |   (20)  all_56_12 = e3 & op(e0, e3) = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | ALPHA: (20) implies:
% 185.57/30.04  | | |   (21)  all_56_12 = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | REF_CLOSE: (1), (7), (21) are inconsistent by sub-proof #1519.
% 185.57/30.04  | | | 
% 185.57/30.04  | | End of split
% 185.57/30.04  | | 
% 185.57/30.04  | End of split
% 185.57/30.04  | 
% 185.57/30.04  End of proof
% 185.57/30.04  
% 185.57/30.04  Sub-proof #646 shows that the following formulas are inconsistent:
% 185.57/30.04  ----------------------------------------------------------------
% 185.57/30.04    (1)  op(e0, e0) = all_6_2
% 185.57/30.04    (2)   ~ (all_6_2 = e1)
% 185.57/30.04    (3)   ~ (all_52_9 = e0)
% 185.57/30.04    (4)  op(e3, e1) = e3
% 185.57/30.04    (5)   ~ (e3 = e0)
% 185.57/30.04    (6)  op(e2, e1) = all_52_9
% 185.57/30.04    (7)   ~ (e2 = e0)
% 185.57/30.04    (8)  all_56_14 = e2
% 185.57/30.04    (9)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.57/30.04    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.04            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.04    (11)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.57/30.04          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.04    (12)   ~ (all_52_6 = e2)
% 185.57/30.04    (13)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.57/30.04          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.57/30.04    (14)  all_56_6 = e3
% 185.57/30.04    (15)   ~ (e3 = e2)
% 185.57/30.04    (16)  op(e3, e1) = all_52_8
% 185.57/30.04    (17)  op(e1, e2) = all_52_6
% 185.57/30.04    (18)   ~ (e2 = e1)
% 185.57/30.04  
% 185.57/30.04  Begin of proof
% 185.57/30.04  | 
% 185.57/30.04  | BETA: splitting (9) gives:
% 185.57/30.04  | 
% 185.57/30.04  | Case 1:
% 185.57/30.04  | | 
% 185.57/30.04  | |   (19)  all_56_11 = e1 & op(e1, e0) = e1
% 185.57/30.04  | | 
% 185.57/30.04  | | ALPHA: (19) implies:
% 185.57/30.04  | |   (20)  all_56_11 = e1
% 185.57/30.04  | | 
% 185.57/30.04  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (10), (11), (12), (13), (14), (15),
% 185.57/30.04  | |            (16), (17), (18), (20) are inconsistent by sub-proof #647.
% 185.57/30.04  | | 
% 185.57/30.04  | Case 2:
% 185.57/30.04  | | 
% 185.57/30.04  | |   (21)  all_56_15 = e1 & op(e0, e0) = e1
% 185.57/30.04  | | 
% 185.57/30.04  | | ALPHA: (21) implies:
% 185.57/30.04  | |   (22)  op(e0, e0) = e1
% 185.57/30.04  | | 
% 185.57/30.04  | | REF_CLOSE: (1), (2), (10), (22) are inconsistent by sub-proof #1516.
% 185.57/30.04  | | 
% 185.57/30.04  | End of split
% 185.57/30.04  | 
% 185.57/30.04  End of proof
% 185.57/30.04  
% 185.57/30.04  Sub-proof #647 shows that the following formulas are inconsistent:
% 185.57/30.04  ----------------------------------------------------------------
% 185.57/30.04    (1)   ~ (all_52_9 = e0)
% 185.57/30.04    (2)  op(e3, e1) = e3
% 185.57/30.04    (3)   ~ (e3 = e0)
% 185.57/30.04    (4)  op(e2, e1) = all_52_9
% 185.57/30.04    (5)   ~ (e2 = e0)
% 185.57/30.04    (6)  all_56_14 = e2
% 185.57/30.04    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.04    (8)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.57/30.04         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.04    (9)   ~ (all_52_6 = e2)
% 185.57/30.04    (10)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.57/30.04          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.57/30.04    (11)  all_56_6 = e3
% 185.57/30.04    (12)   ~ (e3 = e2)
% 185.57/30.04    (13)  op(e3, e1) = all_52_8
% 185.57/30.04    (14)  op(e1, e2) = all_52_6
% 185.57/30.04    (15)   ~ (e2 = e1)
% 185.57/30.04    (16)  all_56_11 = e1
% 185.57/30.04  
% 185.57/30.04  Begin of proof
% 185.57/30.04  | 
% 185.57/30.04  | BETA: splitting (8) gives:
% 185.57/30.04  | 
% 185.57/30.04  | Case 1:
% 185.57/30.04  | | 
% 185.57/30.04  | |   (17)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 185.57/30.04  | |           e0)
% 185.57/30.04  | | 
% 185.57/30.04  | | REF_CLOSE: (1), (2), (3), (4), (7), (13), (17) are inconsistent by sub-proof
% 185.57/30.04  | |            #917.
% 185.57/30.04  | | 
% 185.57/30.04  | Case 2:
% 185.57/30.04  | | 
% 185.57/30.04  | |   (18)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.57/30.04  | |           e0)
% 185.57/30.04  | | 
% 185.57/30.04  | | BETA: splitting (18) gives:
% 185.57/30.04  | | 
% 185.57/30.04  | | Case 1:
% 185.57/30.04  | | | 
% 185.57/30.04  | | |   (19)  all_56_8 = e0 & op(e1, e1) = e0
% 185.57/30.04  | | | 
% 185.57/30.04  | | | ALPHA: (19) implies:
% 185.57/30.04  | | |   (20)  op(e1, e1) = e0
% 185.57/30.04  | | | 
% 185.57/30.04  | | | REF_CLOSE: (5), (7), (9), (10), (11), (12), (14), (15), (16), (20) are
% 185.57/30.04  | | |            inconsistent by sub-proof #1228.
% 185.57/30.04  | | | 
% 185.57/30.04  | | Case 2:
% 185.57/30.04  | | | 
% 185.57/30.04  | | |   (21)  all_56_14 = e0 & op(e0, e1) = e0
% 185.57/30.04  | | | 
% 185.57/30.04  | | | REF_CLOSE: (5), (6), (21) are inconsistent by sub-proof #1443.
% 185.57/30.04  | | | 
% 185.57/30.04  | | End of split
% 185.57/30.04  | | 
% 185.57/30.04  | End of split
% 185.57/30.04  | 
% 185.57/30.04  End of proof
% 185.57/30.04  
% 185.57/30.04  Sub-proof #648 shows that the following formulas are inconsistent:
% 185.57/30.04  ----------------------------------------------------------------
% 185.57/30.04    (1)  e3 = e2
% 185.57/30.04    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.57/30.04         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.57/30.04    (3)   ~ (e1 = e0)
% 185.57/30.04    (4)   ~ (e3 = e0)
% 185.57/30.04    (5)   ~ (e2 = e0)
% 185.57/30.04    (6)   ~ (e3 = e1)
% 185.57/30.04    (7)  all_56_14 = e2
% 185.57/30.04    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.04           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.04    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.57/30.04         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.04    (10)  all_56_4 = e3
% 185.57/30.04    (11)   ~ (e3 = e2)
% 185.57/30.04    (12)  op(e1, e1) = e2
% 185.57/30.04    (13)   ~ (e2 = e1)
% 185.57/30.04    (14)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.57/30.04          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.57/30.04  
% 185.57/30.04  Begin of proof
% 185.57/30.04  | 
% 185.57/30.04  | SIMP: (1) implies:
% 185.57/30.04  |   (15)  e3 = e2
% 185.57/30.04  | 
% 185.57/30.04  | COMBINE_EQS: (10), (15) imply:
% 185.57/30.04  |   (16)  all_56_4 = e2
% 185.57/30.04  | 
% 185.57/30.04  | BETA: splitting (2) gives:
% 185.57/30.04  | 
% 185.57/30.04  | Case 1:
% 185.57/30.04  | | 
% 185.57/30.04  | |   (17)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 185.57/30.04  | |           e3)
% 185.57/30.04  | | 
% 185.57/30.04  | | BETA: splitting (17) gives:
% 185.57/30.04  | | 
% 185.57/30.04  | | Case 1:
% 185.57/30.04  | | | 
% 185.57/30.04  | | |   (18)  all_56_4 = e3 & op(e3, e1) = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | REF_CLOSE: (10), (11), (16) are inconsistent by sub-proof #1285.
% 185.57/30.04  | | | 
% 185.57/30.04  | | Case 2:
% 185.57/30.04  | | | 
% 185.57/30.04  | | |   (19)  all_56_5 = e3 & op(e2, e1) = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | ALPHA: (19) implies:
% 185.57/30.04  | | |   (20)  all_56_5 = e3
% 185.57/30.04  | | |   (21)  op(e2, e1) = e3
% 185.57/30.04  | | | 
% 185.57/30.04  | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (12), (13), (14), (20), (21)
% 185.57/30.04  | | |            are inconsistent by sub-proof #979.
% 185.57/30.04  | | | 
% 185.57/30.04  | | End of split
% 185.57/30.04  | | 
% 185.57/30.04  | Case 2:
% 185.57/30.04  | | 
% 185.57/30.04  | |   (22)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 185.57/30.04  | |           e3)
% 185.57/30.04  | | 
% 185.57/30.04  | | REF_CLOSE: (7), (8), (11), (12), (22) are inconsistent by sub-proof #978.
% 185.57/30.04  | | 
% 185.57/30.04  | End of split
% 185.57/30.04  | 
% 185.57/30.04  End of proof
% 185.57/30.04  
% 185.57/30.04  Sub-proof #649 shows that the following formulas are inconsistent:
% 185.57/30.04  ----------------------------------------------------------------
% 185.57/30.04    (1)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 185.57/30.04    (2)  all_57_25 = e2
% 185.57/30.04    (3)   ~ (e2 = e0)
% 185.57/30.04  
% 185.57/30.04  Begin of proof
% 185.57/30.04  | 
% 185.57/30.04  | ALPHA: (1) implies:
% 185.57/30.04  |   (4)  all_57_25 = e0
% 185.57/30.04  | 
% 185.57/30.04  | COMBINE_EQS: (2), (4) imply:
% 185.57/30.04  |   (5)  e2 = e0
% 185.57/30.04  | 
% 185.57/30.04  | REDUCE: (3), (5) imply:
% 185.57/30.04  |   (6)  $false
% 185.57/30.04  | 
% 185.57/30.04  | CLOSE: (6) is inconsistent.
% 185.57/30.04  | 
% 185.57/30.04  End of proof
% 185.57/30.04  
% 185.57/30.04  Sub-proof #650 shows that the following formulas are inconsistent:
% 185.57/30.04  ----------------------------------------------------------------
% 185.57/30.04    (1)  all_54_6 = all_52_9
% 185.57/30.04    (2)  op(e0, e0) = all_6_2
% 185.57/30.04    (3)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.57/30.04         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/30.04    (4)  all_56_9 = e2
% 185.57/30.04    (5)   ~ (all_4_2 = e0)
% 185.57/30.04    (6)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.57/30.04         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.57/30.04    (7)   ~ (all_6_2 = e1)
% 185.57/30.04    (8)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.57/30.04         (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.57/30.04    (9)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.57/30.04         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.57/30.04    (10)   ~ (e1 = e0)
% 185.57/30.04    (11)  op(e1, e3) = all_52_2
% 185.57/30.04    (12)  op(e0, e2) = e2
% 185.57/30.04    (13)   ~ (all_52_9 = e0)
% 185.57/30.04    (14)   ~ (e3 = e0)
% 185.57/30.04    (15)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.57/30.04          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.57/30.04    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.04          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.04    (17)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.57/30.04          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.57/30.04    (18)  op(e2, e1) = all_52_9
% 185.57/30.04    (19)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.04          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.04    (20)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.57/30.04          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.57/30.04    (21)   ~ (e2 = e0)
% 185.57/30.04    (22)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.57/30.04          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.57/30.04    (23)   ~ (all_52_1 = e2)
% 185.57/30.04    (24)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.57/30.04          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.57/30.04    (25)   ~ (e3 = e1)
% 185.57/30.04    (26)   ~ (all_52_4 = all_52_7)
% 185.57/30.04    (27)  op(e2, e3) = all_52_1
% 185.57/30.04    (28)  all_54_4 = all_52_1
% 185.57/30.04    (29)   ~ (all_52_1 = e3)
% 185.57/30.04    (30)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.04            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.04    (31)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.57/30.04          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.04    (32)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 185.57/30.04    (33)   ~ (all_52_1 = all_52_13)
% 185.57/30.04    (34)   ~ (all_52_6 = e2)
% 185.57/30.04    (35)   ~ (all_52_1 = e1)
% 185.57/30.04    (36)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.57/30.04          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.57/30.04    (37)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.57/30.04          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.57/30.04    (38)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.04          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.04    (39)   ~ (all_52_9 = e2)
% 185.57/30.04    (40)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.57/30.04          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.57/30.04    (41)  all_54_4 = e1 | all_54_4 = e0
% 185.57/30.04    (42)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.57/30.04          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.57/30.04            e1)
% 185.57/30.04    (43)  all_56_6 = e3
% 185.57/30.04    (44)  op(e2, e0) = all_52_13
% 185.57/30.04    (45)   ~ (e3 = e2)
% 185.57/30.04    (46)  op(e3, e3) = e1
% 185.57/30.04    (47)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.57/30.04          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.57/30.04    (48)  op(e3, e1) = all_52_8
% 185.57/30.04    (49)  op(e3, e3) = all_4_2
% 185.57/30.04    (50)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.57/30.04          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.57/30.04    (51)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.57/30.04          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.57/30.04    (52)  op(e3, e2) = all_52_4
% 185.57/30.04    (53)   ~ (all_40_1 = e0)
% 185.57/30.04    (54)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.57/30.04          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.57/30.04    (55)  op(e1, e2) = all_52_6
% 185.57/30.04    (56)  op(e1, e1) = e2
% 185.57/30.04    (57)   ~ (all_52_13 = e0)
% 185.57/30.04    (58)   ~ (e2 = e1)
% 185.57/30.04    (59)  all_56_13 = e2
% 185.57/30.04    (60)  op(e0, e2) = all_52_7
% 185.57/30.04    (61)   ~ (all_52_1 = all_52_9)
% 185.57/30.04    (62)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.04              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.57/30.04                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.57/30.04                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.57/30.04    (63)  op(e1, e3) = all_40_1
% 185.57/30.04    (64)  op(e2, e2) = e2
% 185.57/30.04    (65)   ~ (all_52_8 = e1)
% 185.57/30.04    (66)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.57/30.04          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.57/30.04    (67)   ~ (all_52_2 = e1)
% 185.57/30.05    (68)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.57/30.05          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.57/30.05  
% 185.57/30.05  Begin of proof
% 185.57/30.05  | 
% 185.57/30.05  | BETA: splitting (6) gives:
% 185.57/30.05  | 
% 185.57/30.05  | Case 1:
% 185.57/30.05  | | 
% 185.57/30.05  | |   (69)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 185.57/30.05  | |           e3)
% 185.57/30.05  | | 
% 185.57/30.05  | | BETA: splitting (69) gives:
% 185.57/30.05  | | 
% 185.57/30.05  | | Case 1:
% 185.57/30.05  | | | 
% 185.57/30.05  | | |   (70)  all_56_1 = e3 & op(e3, e2) = e3
% 185.57/30.05  | | | 
% 185.57/30.05  | | | ALPHA: (70) implies:
% 185.57/30.05  | | |   (71)  all_56_1 = e3
% 185.57/30.05  | | | 
% 185.57/30.05  | | | BETA: splitting (8) gives:
% 185.57/30.05  | | | 
% 185.57/30.05  | | | Case 1:
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | |   (72)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2)
% 185.57/30.05  | | | |           = e1)
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | | BETA: splitting (72) gives:
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | | Case 1:
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | |   (73)  all_56_1 = e1 & op(e3, e2) = e1
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | ALPHA: (73) implies:
% 185.57/30.05  | | | | |   (74)  all_56_1 = e1
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | REF_CLOSE: (4), (5), (10), (14), (16), (21), (25), (30), (38), (45),
% 185.57/30.05  | | | | |            (46), (48), (49), (74) are inconsistent by sub-proof #1398.
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | Case 2:
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | |   (75)  all_56_3 = e1 & op(e2, e2) = e1
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | ALPHA: (75) implies:
% 185.57/30.05  | | | | |   (76)  all_56_3 = e1
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | BETA: splitting (17) gives:
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | Case 1:
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | |   (77)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2,
% 185.57/30.05  | | | | | |             e3) = e2)
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | | REF_CLOSE: (13), (18), (21), (22), (30), (44), (46), (57), (58),
% 185.57/30.05  | | | | | |            (64), (77) are inconsistent by sub-proof #686.
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | Case 2:
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | |   (78)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0,
% 185.57/30.05  | | | | | |             e3) = e2)
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | | BETA: splitting (78) gives:
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | | Case 1:
% 185.57/30.05  | | | | | | | 
% 185.57/30.05  | | | | | | |   (79)  all_56_6 = e2 & op(e1, e3) = e2
% 185.57/30.05  | | | | | | | 
% 185.57/30.05  | | | | | | | ALPHA: (79) implies:
% 185.57/30.05  | | | | | | |   (80)  all_56_6 = e2
% 185.57/30.05  | | | | | | | 
% 185.57/30.05  | | | | | | | REF_CLOSE: (43), (45), (80) are inconsistent by sub-proof #1454.
% 185.57/30.05  | | | | | | | 
% 185.57/30.05  | | | | | | Case 2:
% 185.57/30.05  | | | | | | | 
% 185.57/30.05  | | | | | | |   (81)  all_56_12 = e2 & op(e0, e3) = e2
% 185.57/30.05  | | | | | | | 
% 185.57/30.05  | | | | | | | ALPHA: (81) implies:
% 185.57/30.05  | | | | | | |   (82)  all_56_12 = e2
% 185.57/30.05  | | | | | | | 
% 185.57/30.05  | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11),
% 185.57/30.05  | | | | | | |            (12), (13), (14), (15), (16), (17), (18), (19), (20),
% 185.57/30.05  | | | | | | |            (21), (22), (23), (24), (25), (26), (27), (28), (29),
% 185.57/30.05  | | | | | | |            (30), (31), (32), (33), (34), (35), (36), (37), (38),
% 185.57/30.05  | | | | | | |            (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 185.57/30.05  | | | | | | |            (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 185.57/30.05  | | | | | | |            (58), (60), (61), (62), (63), (64), (65), (66), (67),
% 185.57/30.05  | | | | | | |            (68), (76), (82) are inconsistent by sub-proof #666.
% 185.57/30.05  | | | | | | | 
% 185.57/30.05  | | | | | | End of split
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | End of split
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | End of split
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | Case 2:
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | |   (83)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2)
% 185.57/30.05  | | | |           = e1)
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | | BETA: splitting (83) gives:
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | | Case 1:
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | |   (84)  all_56_7 = e1 & op(e1, e2) = e1
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | ALPHA: (84) implies:
% 185.57/30.05  | | | | |   (85)  all_56_7 = e1
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | BETA: splitting (17) gives:
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | Case 1:
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | |   (86)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2,
% 185.57/30.05  | | | | | |             e3) = e2)
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | | REF_CLOSE: (13), (18), (21), (22), (30), (44), (46), (57), (58),
% 185.57/30.05  | | | | | |            (64), (86) are inconsistent by sub-proof #686.
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | Case 2:
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | |   (87)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0,
% 185.57/30.05  | | | | | |             e3) = e2)
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | | BETA: splitting (87) gives:
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | | Case 1:
% 185.57/30.05  | | | | | | | 
% 185.57/30.05  | | | | | | |   (88)  all_56_6 = e2 & op(e1, e3) = e2
% 185.57/30.05  | | | | | | | 
% 185.57/30.05  | | | | | | | ALPHA: (88) implies:
% 185.57/30.05  | | | | | | |   (89)  all_56_6 = e2
% 185.57/30.05  | | | | | | | 
% 185.57/30.05  | | | | | | | REF_CLOSE: (43), (45), (89) are inconsistent by sub-proof #1454.
% 185.57/30.05  | | | | | | | 
% 185.57/30.05  | | | | | | Case 2:
% 185.57/30.05  | | | | | | | 
% 185.57/30.05  | | | | | | |   (90)  all_56_12 = e2 & op(e0, e3) = e2
% 185.57/30.05  | | | | | | | 
% 185.57/30.05  | | | | | | | ALPHA: (90) implies:
% 185.57/30.05  | | | | | | |   (91)  all_56_12 = e2
% 185.57/30.05  | | | | | | | 
% 185.57/30.05  | | | | | | | BETA: splitting (19) gives:
% 185.57/30.05  | | | | | | | 
% 185.57/30.05  | | | | | | | Case 1:
% 185.57/30.05  | | | | | | | | 
% 185.57/30.05  | | | | | | | |   (92)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 &
% 185.57/30.05  | | | | | | | |           op(e1, e2) = e0)
% 185.57/30.05  | | | | | | | | 
% 185.57/30.05  | | | | | | | | REF_CLOSE: (10), (11), (30), (53), (63), (85), (92) are
% 185.57/30.05  | | | | | | | |            inconsistent by sub-proof #665.
% 185.57/30.05  | | | | | | | | 
% 185.57/30.05  | | | | | | | Case 2:
% 185.57/30.05  | | | | | | | | 
% 185.57/30.05  | | | | | | | |   (93)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 &
% 185.57/30.05  | | | | | | | |           op(e1, e0) = e0)
% 185.57/30.05  | | | | | | | | 
% 185.57/30.05  | | | | | | | | BETA: splitting (93) gives:
% 185.57/30.05  | | | | | | | | 
% 185.57/30.05  | | | | | | | | Case 1:
% 185.57/30.05  | | | | | | | | | 
% 185.57/30.05  | | | | | | | | |   (94)  all_56_8 = e0 & op(e1, e1) = e0
% 185.57/30.05  | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | ALPHA: (94) implies:
% 185.57/30.05  | | | | | | | | |   (95)  op(e1, e1) = e0
% 185.57/30.05  | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | REF_CLOSE: (21), (30), (56), (95) are inconsistent by
% 185.57/30.05  | | | | | | | | |            sub-proof #1230.
% 185.57/30.05  | | | | | | | | | 
% 185.57/30.05  | | | | | | | | Case 2:
% 185.57/30.05  | | | | | | | | | 
% 185.57/30.05  | | | | | | | | |   (96)  all_56_11 = e0 & op(e1, e0) = e0
% 185.57/30.05  | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | ALPHA: (96) implies:
% 185.57/30.05  | | | | | | | | |   (97)  all_56_11 = e0
% 185.57/30.05  | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | BETA: splitting (15) gives:
% 185.57/30.05  | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | Case 1:
% 185.57/30.05  | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | |   (98)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1
% 185.57/30.05  | | | | | | | | | |           & op(e2, e0) = e1)
% 185.57/30.05  | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | BETA: splitting (98) gives:
% 185.57/30.05  | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | Case 1:
% 185.57/30.05  | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | |   (99)  all_56_9 = e1 & op(e3, e0) = e1
% 185.57/30.05  | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | ALPHA: (99) implies:
% 185.57/30.05  | | | | | | | | | | |   (100)  all_56_9 = e1
% 185.57/30.05  | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | REF_CLOSE: (5), (10), (14), (16), (21), (25), (30), (38),
% 185.57/30.05  | | | | | | | | | | |            (40), (45), (46), (48), (49), (58), (100) are
% 185.57/30.05  | | | | | | | | | | |            inconsistent by sub-proof #1103.
% 185.57/30.05  | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | Case 2:
% 185.57/30.05  | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | |   (101)  all_56_10 = e1 & op(e2, e0) = e1
% 185.57/30.05  | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | ALPHA: (101) implies:
% 185.57/30.05  | | | | | | | | | | |   (102)  all_56_10 = e1
% 185.57/30.05  | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | BETA: splitting (51) gives:
% 185.57/30.05  | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | Case 1:
% 185.57/30.05  | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | |   (103)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 185.57/30.05  | | | | | | | | | | | |            & op(e2, e2) = e3)
% 185.57/30.05  | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | REF_CLOSE: (5), (11), (14), (21), (30), (45), (49), (53),
% 185.57/30.05  | | | | | | | | | | | |            (63), (64), (66), (91), (103) are inconsistent by
% 185.57/30.05  | | | | | | | | | | | |            sub-proof #683.
% 185.57/30.05  | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | Case 2:
% 185.57/30.05  | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | |   (104)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 185.57/30.05  | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 185.57/30.05  | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | BETA: splitting (104) gives:
% 185.57/30.05  | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | Case 1:
% 185.57/30.05  | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | |   (105)  all_56_5 = e3 & op(e2, e1) = e3
% 185.57/30.05  | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | ALPHA: (105) implies:
% 185.57/30.05  | | | | | | | | | | | | |   (106)  op(e2, e1) = e3
% 185.57/30.05  | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | BETA: splitting (47) gives:
% 185.57/30.05  | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | Case 1:
% 185.57/30.05  | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | |   (107)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 185.57/30.05  | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 185.57/30.05  | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 185.57/30.05  | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | Case 1:
% 185.57/30.05  | | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | |   (108)  all_56_9 = e3 & op(e3, e0) = e3
% 185.57/30.05  | | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | | ALPHA: (108) implies:
% 185.57/30.05  | | | | | | | | | | | | | | |   (109)  all_56_9 = e3
% 185.57/30.05  | | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | | COMBINE_EQS: (4), (109) imply:
% 185.57/30.05  | | | | | | | | | | | | | | |   (110)  e3 = e2
% 185.57/30.05  | | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | | COMBINE_EQS: (43), (110) imply:
% 185.57/30.05  | | | | | | | | | | | | | | |   (111)  all_56_6 = e2
% 185.57/30.05  | | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (14), (25), (30), (45), (54), (56),
% 185.57/30.05  | | | | | | | | | | | | | | |            (58), (97), (111) are inconsistent by sub-proof
% 185.57/30.05  | | | | | | | | | | | | | | |            #1162.
% 185.57/30.05  | | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | Case 2:
% 185.57/30.05  | | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | |   (112)  all_56_10 = e3 & op(e2, e0) = e3
% 185.57/30.05  | | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | | ALPHA: (112) implies:
% 185.57/30.05  | | | | | | | | | | | | | | |   (113)  all_56_10 = e3
% 185.57/30.05  | | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (10), (14), (16), (21), (25), (30),
% 185.57/30.05  | | | | | | | | | | | | | | |            (38), (45), (46), (48), (49), (71), (102), (113)
% 185.57/30.05  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #652.
% 185.57/30.05  | | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | End of split
% 185.57/30.05  | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | Case 2:
% 185.57/30.05  | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | |   (114)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 185.57/30.05  | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 185.57/30.05  | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 185.57/30.05  | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | Case 1:
% 185.57/30.05  | | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | |   (115)  all_56_11 = e3 & op(e1, e0) = e3
% 185.57/30.05  | | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | | REF_CLOSE: (14), (97), (115) are inconsistent by sub-proof
% 185.57/30.05  | | | | | | | | | | | | | | |            #651.
% 185.57/30.05  | | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | Case 2:
% 185.57/30.05  | | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | |   (116)  all_56_15 = e3 & op(e0, e0) = e3
% 185.57/30.05  | | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (7), (10), (14), (15), (16), (21),
% 185.57/30.05  | | | | | | | | | | | | | | |            (25), (30), (38), (40), (42), (44), (45), (46),
% 185.57/30.05  | | | | | | | | | | | | | | |            (47), (48), (49), (56), (57), (58), (59), (62),
% 185.57/30.05  | | | | | | | | | | | | | | |            (68), (91), (106), (116) are inconsistent by
% 185.57/30.05  | | | | | | | | | | | | | | |            sub-proof #669.
% 185.57/30.05  | | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | | End of split
% 185.57/30.05  | | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | End of split
% 185.57/30.05  | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | Case 2:
% 185.57/30.05  | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | |   (117)  all_56_10 = e3 & op(e2, e0) = e3
% 185.57/30.05  | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | ALPHA: (117) implies:
% 185.57/30.05  | | | | | | | | | | | | |   (118)  all_56_10 = e3
% 185.57/30.05  | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | | REF_CLOSE: (4), (5), (10), (14), (16), (21), (25), (30),
% 185.57/30.05  | | | | | | | | | | | | |            (38), (45), (46), (48), (49), (71), (102), (118)
% 185.57/30.05  | | | | | | | | | | | | |            are inconsistent by sub-proof #652.
% 185.57/30.05  | | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | | End of split
% 185.57/30.05  | | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | End of split
% 185.57/30.05  | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | End of split
% 185.57/30.05  | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | Case 2:
% 185.57/30.05  | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | |   (119)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.57/30.05  | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.57/30.05  | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | BETA: splitting (119) gives:
% 185.57/30.05  | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | Case 1:
% 185.57/30.05  | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | |   (120)  all_56_11 = e1 & op(e1, e0) = e1
% 185.57/30.05  | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | ALPHA: (120) implies:
% 185.57/30.05  | | | | | | | | | | |   (121)  all_56_11 = e1
% 185.57/30.05  | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | REF_CLOSE: (10), (11), (19), (21), (30), (34), (37), (43),
% 185.57/30.05  | | | | | | | | | | |            (45), (53), (55), (58), (63), (85), (121) are
% 185.57/30.05  | | | | | | | | | | |            inconsistent by sub-proof #664.
% 185.57/30.05  | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | Case 2:
% 185.57/30.05  | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | |   (122)  all_56_15 = e1 & op(e0, e0) = e1
% 185.57/30.05  | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | ALPHA: (122) implies:
% 185.57/30.05  | | | | | | | | | | |   (123)  op(e0, e0) = e1
% 185.57/30.05  | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | | REF_CLOSE: (2), (7), (30), (123) are inconsistent by
% 185.57/30.05  | | | | | | | | | | |            sub-proof #1516.
% 185.57/30.05  | | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | | End of split
% 185.57/30.05  | | | | | | | | | | 
% 185.57/30.05  | | | | | | | | | End of split
% 185.57/30.05  | | | | | | | | | 
% 185.57/30.05  | | | | | | | | End of split
% 185.57/30.05  | | | | | | | | 
% 185.57/30.05  | | | | | | | End of split
% 185.57/30.05  | | | | | | | 
% 185.57/30.05  | | | | | | End of split
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | End of split
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | Case 2:
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | |   (124)  all_56_13 = e1 & op(e0, e2) = e1
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | ALPHA: (124) implies:
% 185.57/30.05  | | | | |   (125)  all_56_13 = e1
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | COMBINE_EQS: (59), (125) imply:
% 185.57/30.05  | | | | |   (126)  e2 = e1
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | SIMP: (126) implies:
% 185.57/30.05  | | | | |   (127)  e2 = e1
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | COMBINE_EQS: (4), (127) imply:
% 185.57/30.05  | | | | |   (128)  all_56_9 = e1
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | REF_CLOSE: (5), (10), (14), (16), (21), (25), (30), (38), (40), (45),
% 185.57/30.05  | | | | |            (46), (48), (49), (58), (128) are inconsistent by sub-proof
% 185.57/30.05  | | | | |            #1103.
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | End of split
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | End of split
% 185.57/30.05  | | | 
% 185.57/30.05  | | Case 2:
% 185.57/30.05  | | | 
% 185.57/30.05  | | |   (129)  all_56_3 = e3 & op(e2, e2) = e3
% 185.57/30.05  | | | 
% 185.57/30.05  | | | ALPHA: (129) implies:
% 185.57/30.05  | | |   (130)  op(e2, e2) = e3
% 185.57/30.05  | | | 
% 185.57/30.05  | | | REF_CLOSE: (30), (45), (64), (130) are inconsistent by sub-proof #1602.
% 185.57/30.05  | | | 
% 185.57/30.05  | | End of split
% 185.57/30.05  | | 
% 185.57/30.05  | Case 2:
% 185.57/30.05  | | 
% 185.57/30.05  | |   (131)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 185.57/30.05  | |            e3)
% 185.57/30.05  | | 
% 185.57/30.05  | | BETA: splitting (131) gives:
% 185.57/30.05  | | 
% 185.57/30.05  | | Case 1:
% 185.57/30.05  | | | 
% 185.57/30.05  | | |   (132)  all_56_7 = e3 & op(e1, e2) = e3
% 185.57/30.05  | | | 
% 185.57/30.05  | | | REF_CLOSE: (3), (10), (11), (14), (19), (21), (25), (30), (34), (37),
% 185.57/30.05  | | |            (43), (45), (53), (55), (56), (58), (63), (67), (132) are
% 185.57/30.05  | | |            inconsistent by sub-proof #657.
% 185.57/30.05  | | | 
% 185.57/30.05  | | Case 2:
% 185.57/30.05  | | | 
% 185.57/30.05  | | |   (133)  all_56_13 = e3 & op(e0, e2) = e3
% 185.57/30.05  | | | 
% 185.57/30.05  | | | ALPHA: (133) implies:
% 185.57/30.05  | | |   (134)  all_56_13 = e3
% 185.57/30.05  | | | 
% 185.57/30.05  | | | REF_CLOSE: (45), (59), (134) are inconsistent by sub-proof #1121.
% 185.57/30.05  | | | 
% 185.57/30.05  | | End of split
% 185.57/30.05  | | 
% 185.57/30.05  | End of split
% 185.57/30.05  | 
% 185.57/30.05  End of proof
% 185.57/30.05  
% 185.57/30.05  Sub-proof #651 shows that the following formulas are inconsistent:
% 185.57/30.05  ----------------------------------------------------------------
% 185.57/30.05    (1)  all_56_11 = e3 & op(e1, e0) = e3
% 185.57/30.05    (2)  all_56_11 = e0
% 185.57/30.05    (3)   ~ (e3 = e0)
% 185.57/30.05  
% 185.57/30.05  Begin of proof
% 185.57/30.05  | 
% 185.57/30.05  | ALPHA: (1) implies:
% 185.57/30.05  |   (4)  all_56_11 = e3
% 185.57/30.05  | 
% 185.57/30.05  | COMBINE_EQS: (2), (4) imply:
% 185.57/30.05  |   (5)  e3 = e0
% 185.57/30.05  | 
% 185.57/30.05  | REDUCE: (3), (5) imply:
% 185.57/30.05  |   (6)  $false
% 185.57/30.05  | 
% 185.57/30.05  | CLOSE: (6) is inconsistent.
% 185.57/30.05  | 
% 185.57/30.05  End of proof
% 185.57/30.05  
% 185.57/30.05  Sub-proof #652 shows that the following formulas are inconsistent:
% 185.57/30.05  ----------------------------------------------------------------
% 185.57/30.05    (1)  all_56_10 = e3
% 185.57/30.05    (2)  all_56_9 = e2
% 185.57/30.05    (3)   ~ (all_4_2 = e0)
% 185.57/30.05    (4)   ~ (e1 = e0)
% 185.57/30.05    (5)   ~ (e3 = e0)
% 185.57/30.05    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.05         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.05    (7)   ~ (e2 = e0)
% 185.57/30.05    (8)   ~ (e3 = e1)
% 185.57/30.05    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.05    (10)  all_56_1 = e3
% 185.57/30.05    (11)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.05          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.05    (12)   ~ (e3 = e2)
% 185.57/30.05    (13)  op(e3, e3) = e1
% 185.57/30.05    (14)  all_56_10 = e1
% 185.57/30.05    (15)  op(e3, e1) = all_52_8
% 185.57/30.05    (16)  op(e3, e3) = all_4_2
% 185.57/30.05  
% 185.57/30.05  Begin of proof
% 185.57/30.05  | 
% 185.57/30.05  | COMBINE_EQS: (1), (14) imply:
% 185.57/30.05  |   (17)  e3 = e1
% 185.57/30.05  | 
% 185.57/30.05  | COMBINE_EQS: (10), (17) imply:
% 185.57/30.05  |   (18)  all_56_1 = e1
% 185.57/30.05  | 
% 185.57/30.05  | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (15),
% 185.57/30.05  |            (16), (18) are inconsistent by sub-proof #1398.
% 185.57/30.05  | 
% 185.57/30.05  End of proof
% 185.57/30.05  
% 185.57/30.05  Sub-proof #653 shows that the following formulas are inconsistent:
% 185.57/30.05  ----------------------------------------------------------------
% 185.57/30.05    (1)   ~ (e3 = e0)
% 185.57/30.05    (2)  op(e2, e1) = e1
% 185.57/30.05    (3)   ~ (e3 = e1)
% 185.57/30.05    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.05    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 185.57/30.05    (6)  op(e3, e1) = e0
% 185.57/30.05    (7)  op(e3, e1) = all_52_8
% 185.57/30.05  
% 185.57/30.05  Begin of proof
% 185.57/30.05  | 
% 185.57/30.05  | BETA: splitting (5) gives:
% 185.57/30.05  | 
% 185.57/30.05  | Case 1:
% 185.57/30.05  | | 
% 185.57/30.05  | |   (8)  all_56_4 = e3 & op(e3, e1) = e3
% 185.57/30.05  | | 
% 185.57/30.05  | | ALPHA: (8) implies:
% 185.57/30.05  | |   (9)  op(e3, e1) = e3
% 185.57/30.05  | | 
% 185.57/30.05  | | REF_CLOSE: (1), (4), (6), (7), (9) are inconsistent by sub-proof #1577.
% 185.57/30.05  | | 
% 185.57/30.05  | Case 2:
% 185.57/30.05  | | 
% 185.57/30.05  | |   (10)  all_56_5 = e3 & op(e2, e1) = e3
% 185.57/30.05  | | 
% 185.57/30.05  | | ALPHA: (10) implies:
% 185.57/30.05  | |   (11)  op(e2, e1) = e3
% 185.57/30.05  | | 
% 185.57/30.05  | | REF_CLOSE: (2), (3), (4), (11) are inconsistent by sub-proof #1456.
% 185.57/30.05  | | 
% 185.57/30.05  | End of split
% 185.57/30.05  | 
% 185.57/30.05  End of proof
% 185.57/30.05  
% 185.57/30.05  Sub-proof #654 shows that the following formulas are inconsistent:
% 185.57/30.05  ----------------------------------------------------------------
% 185.57/30.05    (1)   ~ (all_4_2 = e0)
% 185.57/30.05    (2)   ~ (e1 = e0)
% 185.57/30.05    (3)  op(e1, e3) = all_52_2
% 185.57/30.05    (4)   ~ (e3 = e0)
% 185.57/30.05    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.57/30.05         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.57/30.05    (6)   ~ (all_40_2 = e1) | ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 185.57/30.05           $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 185.57/30.05           $i(all_40_1))
% 185.57/30.05    (7)  all_56_12 = e1 & op(e0, e3) = e1
% 185.57/30.05    (8)   ~ (e2 = e0)
% 185.57/30.05    (9)   ~ (e3 = e1)
% 185.57/30.05    (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.57/30.05          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.57/30.05    (11)  op(e0, e3) = all_52_3
% 185.57/30.05    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.05            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.05    (13)   ~ (e3 = e2)
% 185.57/30.05    (14)  op(e3, e3) = e1
% 185.57/30.05    (15)  op(e3, e3) = all_4_2
% 185.57/30.05    (16)  op(e1, e1) = e2
% 185.57/30.05    (17)   ~ (e2 = e1)
% 185.57/30.05    (18)  all_40_2 = e1
% 185.57/30.05    (19)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.57/30.05          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.57/30.05  
% 185.57/30.05  Begin of proof
% 185.57/30.05  | 
% 185.57/30.05  | ALPHA: (7) implies:
% 185.57/30.05  |   (20)  all_56_12 = e1
% 185.57/30.05  |   (21)  op(e0, e3) = e1
% 185.57/30.05  | 
% 185.57/30.05  | BETA: splitting (5) gives:
% 185.57/30.05  | 
% 185.57/30.05  | Case 1:
% 185.57/30.05  | | 
% 185.57/30.05  | |   (22)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 185.57/30.05  | |           e2)
% 185.57/30.05  | | 
% 185.57/30.05  | | BETA: splitting (22) gives:
% 185.57/30.05  | | 
% 185.57/30.05  | | Case 1:
% 185.57/30.05  | | | 
% 185.57/30.05  | | |   (23)  all_56_0 = e2 & op(e3, e3) = e2
% 185.57/30.05  | | | 
% 185.57/30.05  | | | ALPHA: (23) implies:
% 185.57/30.05  | | |   (24)  op(e3, e3) = e2
% 185.57/30.05  | | | 
% 185.57/30.05  | | | REF_CLOSE: (12), (14), (17), (24) are inconsistent by sub-proof #1582.
% 185.57/30.05  | | | 
% 185.57/30.05  | | Case 2:
% 185.57/30.05  | | | 
% 185.57/30.05  | | |   (25)  all_56_2 = e2 & op(e2, e3) = e2
% 185.57/30.05  | | | 
% 185.57/30.05  | | | ALPHA: (25) implies:
% 185.57/30.05  | | |   (26)  all_56_2 = e2
% 185.57/30.05  | | | 
% 185.57/30.05  | | | BETA: splitting (10) gives:
% 185.57/30.05  | | | 
% 185.57/30.05  | | | Case 1:
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | |   (27)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3)
% 185.57/30.05  | | | |           = e3)
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | | BETA: splitting (27) gives:
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | | Case 1:
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | |   (28)  all_56_0 = e3 & op(e3, e3) = e3
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | ALPHA: (28) implies:
% 185.57/30.05  | | | | |   (29)  op(e3, e3) = e3
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | REF_CLOSE: (9), (12), (14), (29) are inconsistent by sub-proof #1600.
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | Case 2:
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | |   (30)  all_56_2 = e3 & op(e2, e3) = e3
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | ALPHA: (30) implies:
% 185.57/30.05  | | | | |   (31)  all_56_2 = e3
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | REF_CLOSE: (1), (2), (3), (4), (6), (12), (15), (16), (18), (19),
% 185.57/30.05  | | | | |            (21), (31) are inconsistent by sub-proof #655.
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | End of split
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | Case 2:
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | |   (32)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3)
% 185.57/30.05  | | | |           = e3)
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | | BETA: splitting (32) gives:
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | | Case 1:
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | |   (33)  all_56_6 = e3 & op(e1, e3) = e3
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | ALPHA: (33) implies:
% 185.57/30.05  | | | | |   (34)  op(e1, e3) = e3
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | BETA: splitting (19) gives:
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | Case 1:
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | |   (35)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2,
% 185.57/30.05  | | | | | |             e3) = e0)
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | | REF_CLOSE: (1), (8), (12), (15), (26), (35) are inconsistent by
% 185.57/30.05  | | | | | |            sub-proof #1226.
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | Case 2:
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | |   (36)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0,
% 185.57/30.05  | | | | | |             e3) = e0)
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | | REF_CLOSE: (2), (4), (12), (21), (34), (36) are inconsistent by
% 185.57/30.05  | | | | | |            sub-proof #1225.
% 185.57/30.05  | | | | | | 
% 185.57/30.05  | | | | | End of split
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | Case 2:
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | |   (37)  all_56_12 = e3 & op(e0, e3) = e3
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | ALPHA: (37) implies:
% 185.57/30.05  | | | | |   (38)  op(e0, e3) = e3
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | REF_CLOSE: (9), (11), (12), (21), (38) are inconsistent by sub-proof
% 185.57/30.05  | | | | |            #1529.
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | End of split
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | End of split
% 185.57/30.05  | | | 
% 185.57/30.05  | | End of split
% 185.57/30.05  | | 
% 185.57/30.05  | Case 2:
% 185.57/30.05  | | 
% 185.57/30.05  | |   (39)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 185.57/30.05  | |           e2)
% 185.57/30.05  | | 
% 185.57/30.05  | | BETA: splitting (39) gives:
% 185.57/30.05  | | 
% 185.57/30.05  | | Case 1:
% 185.57/30.05  | | | 
% 185.57/30.05  | | |   (40)  all_56_6 = e2 & op(e1, e3) = e2
% 185.57/30.05  | | | 
% 185.57/30.05  | | | ALPHA: (40) implies:
% 185.57/30.05  | | |   (41)  all_56_6 = e2
% 185.57/30.05  | | | 
% 185.57/30.05  | | | BETA: splitting (10) gives:
% 185.57/30.05  | | | 
% 185.57/30.05  | | | Case 1:
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | |   (42)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3)
% 185.57/30.05  | | | |           = e3)
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | | BETA: splitting (42) gives:
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | | Case 1:
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | |   (43)  all_56_0 = e3 & op(e3, e3) = e3
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | ALPHA: (43) implies:
% 185.57/30.05  | | | | |   (44)  op(e3, e3) = e3
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | REF_CLOSE: (9), (12), (14), (44) are inconsistent by sub-proof #1600.
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | Case 2:
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | |   (45)  all_56_2 = e3 & op(e2, e3) = e3
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | ALPHA: (45) implies:
% 185.57/30.05  | | | | |   (46)  all_56_2 = e3
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | | REF_CLOSE: (1), (2), (3), (4), (6), (12), (15), (16), (18), (19),
% 185.57/30.05  | | | | |            (21), (46) are inconsistent by sub-proof #655.
% 185.57/30.05  | | | | | 
% 185.57/30.05  | | | | End of split
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | Case 2:
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | |   (47)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3)
% 185.57/30.05  | | | |           = e3)
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | | REF_CLOSE: (9), (11), (12), (13), (21), (41), (47) are inconsistent by
% 185.57/30.05  | | | |            sub-proof #867.
% 185.57/30.05  | | | | 
% 185.57/30.05  | | | End of split
% 185.57/30.05  | | | 
% 185.57/30.05  | | Case 2:
% 185.57/30.05  | | | 
% 185.57/30.05  | | |   (48)  all_56_12 = e2 & op(e0, e3) = e2
% 185.57/30.05  | | | 
% 185.57/30.05  | | | ALPHA: (48) implies:
% 185.57/30.05  | | |   (49)  all_56_12 = e2
% 185.57/30.05  | | | 
% 185.57/30.05  | | | REF_CLOSE: (17), (20), (49) are inconsistent by sub-proof #1383.
% 185.57/30.05  | | | 
% 185.57/30.05  | | End of split
% 185.57/30.05  | | 
% 185.57/30.05  | End of split
% 185.57/30.05  | 
% 185.57/30.05  End of proof
% 185.57/30.05  
% 185.57/30.05  Sub-proof #655 shows that the following formulas are inconsistent:
% 185.57/30.05  ----------------------------------------------------------------
% 185.57/30.05    (1)   ~ (all_4_2 = e0)
% 185.57/30.05    (2)   ~ (e1 = e0)
% 185.57/30.05    (3)  op(e1, e3) = all_52_2
% 185.57/30.05    (4)   ~ (e3 = e0)
% 185.57/30.05    (5)  op(e0, e3) = e1
% 185.57/30.05    (6)   ~ (all_40_2 = e1) | ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 185.57/30.05           $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 185.57/30.05           $i(all_40_1))
% 185.57/30.05    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.05    (8)  all_56_2 = e3
% 185.57/30.05    (9)  op(e3, e3) = all_4_2
% 185.57/30.05    (10)  op(e1, e1) = e2
% 185.57/30.05    (11)  all_40_2 = e1
% 185.57/30.05    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.57/30.05          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.57/30.05  
% 185.57/30.05  Begin of proof
% 185.57/30.05  | 
% 185.57/30.05  | BETA: splitting (12) gives:
% 185.57/30.05  | 
% 185.57/30.05  | Case 1:
% 185.57/30.05  | | 
% 185.57/30.05  | |   (13)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 185.57/30.05  | |           e0)
% 185.57/30.05  | | 
% 185.57/30.05  | | REF_CLOSE: (1), (4), (7), (8), (9), (13) are inconsistent by sub-proof
% 185.57/30.05  | |            #1093.
% 185.57/30.05  | | 
% 185.57/30.05  | Case 2:
% 185.57/30.05  | | 
% 185.57/30.05  | |   (14)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 185.57/30.05  | |           e0)
% 185.57/30.05  | | 
% 185.57/30.05  | | BETA: splitting (14) gives:
% 185.57/30.05  | | 
% 185.57/30.05  | | Case 1:
% 185.57/30.05  | | | 
% 185.57/30.05  | | |   (15)  all_56_6 = e0 & op(e1, e3) = e0
% 185.57/30.05  | | | 
% 185.57/30.05  | | | ALPHA: (15) implies:
% 185.57/30.05  | | |   (16)  op(e1, e3) = e0
% 185.57/30.05  | | | 
% 185.57/30.05  | | | REF_CLOSE: (3), (6), (7), (10), (11), (16) are inconsistent by sub-proof
% 185.57/30.05  | | |            #656.
% 185.57/30.05  | | | 
% 185.57/30.05  | | Case 2:
% 185.57/30.05  | | | 
% 185.57/30.05  | | |   (17)  all_56_12 = e0 & op(e0, e3) = e0
% 185.57/30.05  | | | 
% 185.57/30.05  | | | ALPHA: (17) implies:
% 185.57/30.05  | | |   (18)  op(e0, e3) = e0
% 185.57/30.05  | | | 
% 185.57/30.05  | | | REF_CLOSE: (2), (5), (7), (18) are inconsistent by sub-proof #1589.
% 185.57/30.05  | | | 
% 185.57/30.05  | | End of split
% 185.57/30.05  | | 
% 185.57/30.05  | End of split
% 185.57/30.05  | 
% 185.57/30.05  End of proof
% 185.57/30.05  
% 185.57/30.05  Sub-proof #656 shows that the following formulas are inconsistent:
% 185.57/30.05  ----------------------------------------------------------------
% 185.57/30.05    (1)  op(e1, e3) = e0
% 185.57/30.05    (2)  op(e1, e3) = all_52_2
% 185.57/30.05    (3)   ~ (all_40_2 = e1) | ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 &
% 185.57/30.05           $i(all_40_0)) | ( ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 &
% 185.57/30.05           $i(all_40_1))
% 185.57/30.05    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.05    (5)  op(e1, e1) = e2
% 185.57/30.05    (6)  all_40_2 = e1
% 185.57/30.05  
% 185.57/30.05  Begin of proof
% 185.57/30.05  | 
% 185.57/30.05  | BETA: splitting (3) gives:
% 185.57/30.05  | 
% 185.57/30.05  | Case 1:
% 185.57/30.05  | | 
% 185.57/30.05  | |   (7)   ~ (all_40_2 = e1)
% 185.57/30.05  | | 
% 185.57/30.05  | | REDUCE: (6), (7) imply:
% 185.57/30.05  | |   (8)  $false
% 185.57/30.05  | | 
% 185.57/30.05  | | CLOSE: (8) is inconsistent.
% 185.57/30.05  | | 
% 185.57/30.05  | Case 2:
% 185.57/30.05  | | 
% 185.57/30.05  | |   (9)  ( ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 & $i(all_40_0)) | ( ~
% 185.57/30.05  | |          (all_40_1 = e0) & op(e1, e3) = all_40_1 & $i(all_40_1))
% 185.57/30.05  | | 
% 185.57/30.05  | | BETA: splitting (9) gives:
% 185.57/30.05  | | 
% 185.57/30.05  | | Case 1:
% 185.57/30.05  | | | 
% 185.57/30.05  | | |   (10)   ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 & $i(all_40_0)
% 185.57/30.05  | | | 
% 185.57/30.05  | | | REF_CLOSE: (4), (5), (10) are inconsistent by sub-proof #701.
% 185.57/30.05  | | | 
% 185.57/30.05  | | Case 2:
% 185.57/30.05  | | | 
% 185.57/30.05  | | |   (11)   ~ (all_40_1 = e0) & op(e1, e3) = all_40_1 & $i(all_40_1)
% 185.57/30.05  | | | 
% 185.57/30.05  | | | ALPHA: (11) implies:
% 185.57/30.05  | | |   (12)   ~ (all_40_1 = e0)
% 185.57/30.05  | | |   (13)  op(e1, e3) = all_40_1
% 185.57/30.05  | | | 
% 185.57/30.05  | | | REF_CLOSE: (1), (2), (4), (12), (13) are inconsistent by sub-proof #698.
% 185.57/30.05  | | | 
% 185.57/30.05  | | End of split
% 185.57/30.05  | | 
% 185.57/30.05  | End of split
% 185.57/30.05  | 
% 185.57/30.05  End of proof
% 185.57/30.05  
% 185.57/30.05  Sub-proof #657 shows that the following formulas are inconsistent:
% 185.57/30.05  ----------------------------------------------------------------
% 185.57/30.05    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.57/30.05         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/30.05    (2)   ~ (e1 = e0)
% 185.57/30.05    (3)  op(e1, e3) = all_52_2
% 185.57/30.05    (4)   ~ (e3 = e0)
% 185.57/30.05    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.05         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.05    (6)   ~ (e2 = e0)
% 185.57/30.05    (7)   ~ (e3 = e1)
% 185.57/30.05    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.05    (9)   ~ (all_52_6 = e2)
% 185.57/30.05    (10)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.57/30.05          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.57/30.05    (11)  all_56_6 = e3
% 185.57/30.05    (12)   ~ (e3 = e2)
% 185.57/30.05    (13)  all_56_7 = e3 & op(e1, e2) = e3
% 185.57/30.05    (14)   ~ (all_40_1 = e0)
% 185.57/30.05    (15)  op(e1, e2) = all_52_6
% 185.57/30.05    (16)  op(e1, e1) = e2
% 185.57/30.05    (17)   ~ (e2 = e1)
% 185.57/30.05    (18)  op(e1, e3) = all_40_1
% 185.57/30.05    (19)   ~ (all_52_2 = e1)
% 185.57/30.05  
% 185.57/30.05  Begin of proof
% 185.57/30.05  | 
% 185.57/30.05  | ALPHA: (13) implies:
% 185.57/30.05  |   (20)  all_56_7 = e3
% 185.57/30.05  | 
% 185.57/30.05  | BETA: splitting (1) gives:
% 185.57/30.05  | 
% 185.57/30.05  | Case 1:
% 185.57/30.05  | | 
% 185.57/30.05  | |   (21)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 185.57/30.05  | |           e1)
% 185.57/30.05  | | 
% 185.57/30.05  | | REF_CLOSE: (3), (7), (8), (19), (20), (21) are inconsistent by sub-proof
% 185.57/30.05  | |            #658.
% 185.57/30.05  | | 
% 185.57/30.05  | Case 2:
% 185.57/30.05  | | 
% 185.57/30.05  | |   (22)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 185.57/30.05  | |           e1)
% 185.57/30.05  | | 
% 185.57/30.05  | | BETA: splitting (22) gives:
% 185.57/30.05  | | 
% 185.57/30.05  | | Case 1:
% 185.57/30.05  | | | 
% 185.57/30.05  | | |   (23)  all_56_8 = e1 & op(e1, e1) = e1
% 185.57/30.05  | | | 
% 185.57/30.05  | | | ALPHA: (23) implies:
% 185.57/30.05  | | |   (24)  op(e1, e1) = e1
% 185.57/30.05  | | | 
% 185.57/30.05  | | | REF_CLOSE: (8), (16), (17), (24) are inconsistent by sub-proof #1473.
% 185.57/30.05  | | | 
% 185.57/30.05  | | Case 2:
% 185.57/30.05  | | | 
% 185.57/30.05  | | |   (25)  all_56_11 = e1 & op(e1, e0) = e1
% 185.57/30.05  | | | 
% 185.57/30.05  | | | ALPHA: (25) implies:
% 185.57/30.05  | | |   (26)  all_56_11 = e1
% 185.57/30.05  | | | 
% 185.57/30.05  | | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (14),
% 185.57/30.05  | | |            (15), (17), (18), (20), (26) are inconsistent by sub-proof
% 185.57/30.05  | | |            #675.
% 185.57/30.05  | | | 
% 185.57/30.05  | | End of split
% 185.57/30.05  | | 
% 185.57/30.05  | End of split
% 185.57/30.05  | 
% 185.57/30.05  End of proof
% 185.57/30.05  
% 185.57/30.05  Sub-proof #658 shows that the following formulas are inconsistent:
% 185.57/30.05  ----------------------------------------------------------------
% 185.57/30.05    (1)  op(e1, e3) = all_52_2
% 185.57/30.05    (2)   ~ (e3 = e1)
% 185.57/30.05    (3)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1)
% 185.57/30.05    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.05    (5)  all_56_7 = e3
% 185.57/30.05    (6)   ~ (all_52_2 = e1)
% 185.57/30.05  
% 185.57/30.05  Begin of proof
% 185.57/30.05  | 
% 185.57/30.05  | BETA: splitting (3) gives:
% 185.57/30.05  | 
% 185.57/30.05  | Case 1:
% 185.57/30.05  | | 
% 185.57/30.05  | |   (7)  all_56_6 = e1 & op(e1, e3) = e1
% 185.57/30.05  | | 
% 185.57/30.05  | | ALPHA: (7) implies:
% 185.57/30.05  | |   (8)  op(e1, e3) = e1
% 185.57/30.05  | | 
% 185.57/30.05  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1597.
% 185.57/30.05  | | 
% 185.57/30.05  | Case 2:
% 185.57/30.05  | | 
% 185.57/30.05  | |   (9)  all_56_7 = e1 & op(e1, e2) = e1
% 185.57/30.05  | | 
% 185.57/30.05  | | ALPHA: (9) implies:
% 185.57/30.05  | |   (10)  all_56_7 = e1
% 185.57/30.05  | | 
% 185.57/30.05  | | REF_CLOSE: (2), (5), (10) are inconsistent by sub-proof #1172.
% 185.57/30.05  | | 
% 185.57/30.05  | End of split
% 185.57/30.05  | 
% 185.57/30.05  End of proof
% 185.57/30.05  
% 185.57/30.05  Sub-proof #659 shows that the following formulas are inconsistent:
% 185.57/30.05  ----------------------------------------------------------------
% 185.57/30.05    (1)   ~ (e3 = e1)
% 185.57/30.05    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.05    (3)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 185.57/30.05    (4)   ~ (e3 = e2)
% 185.57/30.05    (5)  op(e3, e3) = e1
% 185.57/30.05    (6)  all_56_1 = e2
% 185.57/30.05  
% 185.57/30.05  Begin of proof
% 185.57/30.05  | 
% 185.57/30.05  | BETA: splitting (3) gives:
% 185.57/30.05  | 
% 185.57/30.05  | Case 1:
% 185.57/30.05  | | 
% 185.57/30.05  | |   (7)  all_56_0 = e3 & op(e3, e3) = e3
% 185.57/30.05  | | 
% 185.57/30.05  | | ALPHA: (7) implies:
% 185.57/30.05  | |   (8)  op(e3, e3) = e3
% 185.57/30.05  | | 
% 185.57/30.05  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1600.
% 185.57/30.05  | | 
% 185.57/30.05  | Case 2:
% 185.57/30.05  | | 
% 185.57/30.05  | |   (9)  all_56_1 = e3 & op(e3, e2) = e3
% 185.57/30.05  | | 
% 185.57/30.05  | | ALPHA: (9) implies:
% 185.57/30.05  | |   (10)  all_56_1 = e3
% 185.57/30.05  | | 
% 185.57/30.05  | | REF_CLOSE: (4), (6), (10) are inconsistent by sub-proof #660.
% 185.57/30.05  | | 
% 185.57/30.05  | End of split
% 185.57/30.05  | 
% 185.57/30.05  End of proof
% 185.57/30.05  
% 185.57/30.05  Sub-proof #660 shows that the following formulas are inconsistent:
% 185.57/30.05  ----------------------------------------------------------------
% 185.57/30.05    (1)  all_56_1 = e3
% 185.57/30.05    (2)  all_56_1 = e2
% 185.57/30.05    (3)   ~ (e3 = e2)
% 185.57/30.05  
% 185.57/30.05  Begin of proof
% 185.57/30.05  | 
% 185.57/30.05  | COMBINE_EQS: (1), (2) imply:
% 185.57/30.05  |   (4)  e3 = e2
% 185.57/30.05  | 
% 185.57/30.05  | SIMP: (4) implies:
% 185.57/30.05  |   (5)  e3 = e2
% 185.57/30.05  | 
% 185.57/30.05  | REDUCE: (3), (5) imply:
% 185.57/30.05  |   (6)  $false
% 185.57/30.05  | 
% 185.57/30.05  | CLOSE: (6) is inconsistent.
% 185.57/30.05  | 
% 185.57/30.05  End of proof
% 185.57/30.05  
% 185.57/30.05  Sub-proof #661 shows that the following formulas are inconsistent:
% 185.57/30.05  ----------------------------------------------------------------
% 185.57/30.05    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.05           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.05    (2)  op(e1, e1) = all_57_30
% 185.57/30.06    (3)  op(e1, e1) = e2
% 185.57/30.06    (4)   ~ (all_57_30 = e2)
% 185.57/30.06  
% 185.57/30.06  Begin of proof
% 185.57/30.06  | 
% 185.57/30.06  | GROUND_INST: instantiating (1) with e2, all_57_30, e1, e1, simplifying with
% 185.57/30.06  |              (2), (3) gives:
% 185.57/30.06  |   (5)  all_57_30 = e2
% 185.57/30.06  | 
% 185.57/30.06  | REDUCE: (4), (5) imply:
% 185.57/30.06  |   (6)  $false
% 185.57/30.06  | 
% 185.57/30.06  | CLOSE: (6) is inconsistent.
% 185.57/30.06  | 
% 185.57/30.06  End of proof
% 185.57/30.06  
% 185.57/30.06  Sub-proof #662 shows that the following formulas are inconsistent:
% 185.57/30.06  ----------------------------------------------------------------
% 185.57/30.06    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.57/30.06         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/30.06    (2)   ~ (e1 = e0)
% 185.57/30.06    (3)  op(e1, e3) = all_52_2
% 185.57/30.06    (4)  all_56_11 = e3
% 185.57/30.06    (5)   ~ (e3 = e1)
% 185.57/30.06    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.06           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.06    (7)   ~ (all_40_1 = e0)
% 185.57/30.06    (8)  op(e1, e1) = e2
% 185.57/30.06    (9)   ~ (e2 = e1)
% 185.57/30.06    (10)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0)
% 185.57/30.06    (11)  op(e1, e3) = all_40_1
% 185.57/30.06    (12)   ~ (all_52_2 = e1)
% 185.57/30.06  
% 185.57/30.06  Begin of proof
% 185.57/30.06  | 
% 185.57/30.06  | BETA: splitting (10) gives:
% 185.57/30.06  | 
% 185.57/30.06  | Case 1:
% 185.57/30.06  | | 
% 185.57/30.06  | |   (13)  all_56_6 = e0 & op(e1, e3) = e0
% 185.57/30.06  | | 
% 185.57/30.06  | | ALPHA: (13) implies:
% 185.57/30.06  | |   (14)  op(e1, e3) = e0
% 185.57/30.06  | | 
% 185.57/30.06  | | REF_CLOSE: (3), (6), (7), (11), (14) are inconsistent by sub-proof #698.
% 185.57/30.06  | | 
% 185.57/30.06  | Case 2:
% 185.57/30.06  | | 
% 185.57/30.06  | |   (15)  all_56_7 = e0 & op(e1, e2) = e0
% 185.57/30.06  | | 
% 185.57/30.06  | | ALPHA: (15) implies:
% 185.57/30.06  | |   (16)  all_56_7 = e0
% 185.57/30.06  | | 
% 185.57/30.06  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (12), (16) are
% 185.57/30.06  | |            inconsistent by sub-proof #663.
% 185.57/30.06  | | 
% 185.57/30.06  | End of split
% 185.57/30.06  | 
% 185.57/30.06  End of proof
% 185.57/30.06  
% 185.57/30.06  Sub-proof #663 shows that the following formulas are inconsistent:
% 185.57/30.06  ----------------------------------------------------------------
% 185.57/30.06    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.57/30.06         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/30.06    (2)   ~ (e1 = e0)
% 185.57/30.06    (3)  op(e1, e3) = all_52_2
% 185.57/30.06    (4)  all_56_11 = e3
% 185.57/30.06    (5)  all_56_7 = e0
% 185.57/30.06    (6)   ~ (e3 = e1)
% 185.57/30.06    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.06           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.06    (8)  op(e1, e1) = e2
% 185.57/30.06    (9)   ~ (e2 = e1)
% 185.57/30.06    (10)   ~ (all_52_2 = e1)
% 185.57/30.06  
% 185.57/30.06  Begin of proof
% 185.57/30.06  | 
% 185.57/30.06  | BETA: splitting (1) gives:
% 185.57/30.06  | 
% 185.57/30.06  | Case 1:
% 185.57/30.06  | | 
% 185.57/30.06  | |   (11)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 185.57/30.06  | |           e1)
% 185.57/30.06  | | 
% 185.57/30.06  | | REF_CLOSE: (2), (3), (5), (7), (10), (11) are inconsistent by sub-proof
% 185.57/30.06  | |            #682.
% 185.57/30.06  | | 
% 185.57/30.06  | Case 2:
% 185.57/30.06  | | 
% 185.57/30.06  | |   (12)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 185.57/30.06  | |           e1)
% 185.57/30.06  | | 
% 185.57/30.06  | | BETA: splitting (12) gives:
% 185.57/30.06  | | 
% 185.57/30.06  | | Case 1:
% 185.57/30.06  | | | 
% 185.57/30.06  | | |   (13)  all_56_8 = e1 & op(e1, e1) = e1
% 185.57/30.06  | | | 
% 185.57/30.06  | | | ALPHA: (13) implies:
% 185.57/30.06  | | |   (14)  op(e1, e1) = e1
% 185.57/30.06  | | | 
% 185.57/30.06  | | | REF_CLOSE: (7), (8), (9), (14) are inconsistent by sub-proof #1473.
% 185.57/30.06  | | | 
% 185.57/30.06  | | Case 2:
% 185.57/30.06  | | | 
% 185.57/30.06  | | |   (15)  all_56_11 = e1 & op(e1, e0) = e1
% 185.57/30.06  | | | 
% 185.57/30.06  | | | ALPHA: (15) implies:
% 185.57/30.06  | | |   (16)  all_56_11 = e1
% 185.57/30.06  | | | 
% 185.57/30.06  | | | REF_CLOSE: (4), (6), (16) are inconsistent by sub-proof #1209.
% 185.57/30.06  | | | 
% 185.57/30.06  | | End of split
% 185.57/30.06  | | 
% 185.57/30.06  | End of split
% 185.57/30.06  | 
% 185.57/30.06  End of proof
% 185.57/30.06  
% 185.57/30.06  Sub-proof #664 shows that the following formulas are inconsistent:
% 185.57/30.06  ----------------------------------------------------------------
% 185.57/30.06    (1)   ~ (e1 = e0)
% 185.57/30.06    (2)  op(e1, e3) = all_52_2
% 185.57/30.06    (3)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.06         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.06    (4)   ~ (e2 = e0)
% 185.57/30.06    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.06           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.06    (6)   ~ (all_52_6 = e2)
% 185.57/30.06    (7)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.57/30.06         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.57/30.06    (8)  all_56_6 = e3
% 185.57/30.06    (9)   ~ (e3 = e2)
% 185.57/30.06    (10)  all_56_7 = e1
% 185.57/30.06    (11)   ~ (all_40_1 = e0)
% 185.57/30.06    (12)  op(e1, e2) = all_52_6
% 185.57/30.06    (13)   ~ (e2 = e1)
% 185.57/30.06    (14)  op(e1, e3) = all_40_1
% 185.57/30.06    (15)  all_56_11 = e1
% 185.57/30.06  
% 185.57/30.06  Begin of proof
% 185.57/30.06  | 
% 185.57/30.06  | BETA: splitting (3) gives:
% 185.57/30.06  | 
% 185.57/30.06  | Case 1:
% 185.57/30.06  | | 
% 185.57/30.06  | |   (16)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 185.57/30.06  | |           e0)
% 185.57/30.06  | | 
% 185.57/30.06  | | REF_CLOSE: (1), (2), (5), (10), (11), (14), (16) are inconsistent by
% 185.57/30.06  | |            sub-proof #665.
% 185.57/30.06  | | 
% 185.57/30.06  | Case 2:
% 185.57/30.06  | | 
% 185.57/30.06  | |   (17)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.57/30.06  | |           e0)
% 185.57/30.06  | | 
% 185.57/30.06  | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (9), (12), (13), (15), (17) are
% 185.57/30.06  | |            inconsistent by sub-proof #961.
% 185.57/30.06  | | 
% 185.57/30.06  | End of split
% 185.57/30.06  | 
% 185.57/30.06  End of proof
% 185.57/30.06  
% 185.57/30.06  Sub-proof #665 shows that the following formulas are inconsistent:
% 185.57/30.06  ----------------------------------------------------------------
% 185.57/30.06    (1)   ~ (e1 = e0)
% 185.57/30.06    (2)  op(e1, e3) = all_52_2
% 185.57/30.06    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.06           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.06    (4)  all_56_7 = e1
% 185.57/30.06    (5)   ~ (all_40_1 = e0)
% 185.57/30.06    (6)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0)
% 185.57/30.06    (7)  op(e1, e3) = all_40_1
% 185.57/30.06  
% 185.57/30.06  Begin of proof
% 185.57/30.06  | 
% 185.57/30.06  | BETA: splitting (6) gives:
% 185.57/30.06  | 
% 185.57/30.06  | Case 1:
% 185.57/30.06  | | 
% 185.57/30.06  | |   (8)  all_56_6 = e0 & op(e1, e3) = e0
% 185.57/30.06  | | 
% 185.57/30.06  | | ALPHA: (8) implies:
% 185.57/30.06  | |   (9)  op(e1, e3) = e0
% 185.57/30.06  | | 
% 185.57/30.06  | | REF_CLOSE: (2), (3), (5), (7), (9) are inconsistent by sub-proof #698.
% 185.57/30.06  | | 
% 185.57/30.06  | Case 2:
% 185.57/30.06  | | 
% 185.57/30.06  | |   (10)  all_56_7 = e0 & op(e1, e2) = e0
% 185.57/30.06  | | 
% 185.57/30.06  | | ALPHA: (10) implies:
% 185.57/30.06  | |   (11)  all_56_7 = e0
% 185.57/30.06  | | 
% 185.57/30.06  | | REF_CLOSE: (1), (4), (11) are inconsistent by sub-proof #888.
% 185.57/30.06  | | 
% 185.57/30.06  | End of split
% 185.57/30.06  | 
% 185.57/30.06  End of proof
% 185.57/30.06  
% 185.57/30.06  Sub-proof #666 shows that the following formulas are inconsistent:
% 185.57/30.06  ----------------------------------------------------------------
% 185.57/30.06    (1)  all_54_6 = all_52_9
% 185.57/30.06    (2)  op(e0, e0) = all_6_2
% 185.57/30.06    (3)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.57/30.06         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/30.06    (4)  all_56_9 = e2
% 185.57/30.06    (5)   ~ (all_4_2 = e0)
% 185.57/30.06    (6)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.57/30.06         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.57/30.06    (7)   ~ (all_6_2 = e1)
% 185.57/30.06    (8)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.57/30.06         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.57/30.06    (9)   ~ (e1 = e0)
% 185.57/30.06    (10)  op(e1, e3) = all_52_2
% 185.57/30.06    (11)  op(e0, e2) = e2
% 185.57/30.06    (12)   ~ (all_52_9 = e0)
% 185.57/30.06    (13)   ~ (e3 = e0)
% 185.57/30.06    (14)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.57/30.06          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.57/30.06    (15)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.06          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.06    (16)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.57/30.06          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.57/30.06    (17)  op(e2, e1) = all_52_9
% 185.57/30.06    (18)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.06          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.06    (19)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.57/30.06          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.57/30.06    (20)   ~ (e2 = e0)
% 185.57/30.06    (21)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.57/30.06          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.57/30.06    (22)   ~ (all_52_1 = e2)
% 185.57/30.06    (23)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.57/30.06          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.57/30.06    (24)   ~ (e3 = e1)
% 185.57/30.06    (25)   ~ (all_52_4 = all_52_7)
% 185.57/30.06    (26)  op(e2, e3) = all_52_1
% 185.57/30.06    (27)  all_54_4 = all_52_1
% 185.57/30.06    (28)   ~ (all_52_1 = e3)
% 185.57/30.06    (29)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.06            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.06    (30)  all_56_12 = e2
% 185.57/30.06    (31)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.57/30.06          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.06    (32)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 185.57/30.06    (33)   ~ (all_52_1 = all_52_13)
% 185.57/30.06    (34)   ~ (all_52_6 = e2)
% 185.57/30.06    (35)   ~ (all_52_1 = e1)
% 185.57/30.06    (36)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.57/30.06          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.57/30.06    (37)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.57/30.06          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.57/30.06    (38)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.06          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.06    (39)   ~ (all_52_9 = e2)
% 185.57/30.06    (40)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.57/30.06          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.57/30.06    (41)  all_54_4 = e1 | all_54_4 = e0
% 185.57/30.06    (42)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.57/30.06          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.57/30.06            e1)
% 185.57/30.06    (43)  all_56_6 = e3
% 185.57/30.06    (44)  op(e2, e0) = all_52_13
% 185.57/30.06    (45)   ~ (e3 = e2)
% 185.57/30.06    (46)  op(e3, e3) = e1
% 185.57/30.06    (47)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.57/30.06          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.57/30.06    (48)  op(e3, e1) = all_52_8
% 185.57/30.06    (49)  op(e3, e3) = all_4_2
% 185.57/30.06    (50)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.57/30.06          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.57/30.06    (51)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.57/30.06          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.57/30.06    (52)  op(e3, e2) = all_52_4
% 185.57/30.06    (53)   ~ (all_40_1 = e0)
% 185.57/30.06    (54)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.57/30.06          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.57/30.06    (55)  op(e1, e2) = all_52_6
% 185.57/30.06    (56)  all_56_3 = e1
% 185.57/30.06    (57)  op(e1, e1) = e2
% 185.57/30.06    (58)   ~ (e2 = e1)
% 185.57/30.06    (59)  op(e0, e2) = all_52_7
% 185.57/30.06    (60)   ~ (all_52_1 = all_52_9)
% 185.57/30.06    (61)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.06              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.57/30.06                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.57/30.06                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.57/30.06    (62)  op(e1, e3) = all_40_1
% 185.57/30.06    (63)  op(e2, e2) = e2
% 185.57/30.06    (64)   ~ (all_52_8 = e1)
% 185.57/30.06    (65)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.57/30.06          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.57/30.06    (66)   ~ (all_52_2 = e1)
% 185.57/30.06    (67)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.57/30.06          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.57/30.06  
% 185.57/30.06  Begin of proof
% 185.57/30.06  | 
% 185.57/30.06  | BETA: splitting (36) gives:
% 185.57/30.06  | 
% 185.57/30.06  | Case 1:
% 185.57/30.06  | | 
% 185.57/30.06  | |   (68)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 185.57/30.06  | |           e2)
% 185.57/30.06  | | 
% 185.57/30.06  | | BETA: splitting (68) gives:
% 185.57/30.06  | | 
% 185.57/30.06  | | Case 1:
% 185.57/30.06  | | | 
% 185.57/30.06  | | |   (69)  all_56_2 = e2 & op(e2, e3) = e2
% 185.57/30.06  | | | 
% 185.57/30.06  | | | REF_CLOSE: (5), (10), (20), (29), (30), (49), (53), (62), (65), (69) are
% 185.57/30.06  | | |            inconsistent by sub-proof #691.
% 185.57/30.06  | | | 
% 185.57/30.06  | | Case 2:
% 185.57/30.06  | | | 
% 185.57/30.06  | | |   (70)  all_56_3 = e2 & op(e2, e2) = e2
% 185.57/30.06  | | | 
% 185.57/30.06  | | | ALPHA: (70) implies:
% 185.57/30.06  | | |   (71)  all_56_3 = e2
% 185.57/30.06  | | | 
% 185.57/30.06  | | | COMBINE_EQS: (56), (71) imply:
% 185.57/30.06  | | |   (72)  e2 = e1
% 185.57/30.06  | | | 
% 185.57/30.06  | | | COMBINE_EQS: (4), (72) imply:
% 185.57/30.06  | | |   (73)  all_56_9 = e1
% 185.57/30.06  | | | 
% 185.57/30.06  | | | REF_CLOSE: (5), (9), (13), (15), (20), (24), (29), (38), (40), (45), (46),
% 185.57/30.06  | | |            (48), (49), (58), (73) are inconsistent by sub-proof #1103.
% 185.57/30.06  | | | 
% 185.57/30.06  | | End of split
% 185.57/30.06  | | 
% 185.57/30.06  | Case 2:
% 185.57/30.06  | | 
% 185.57/30.06  | |   (74)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 185.57/30.06  | |           e2)
% 185.57/30.06  | | 
% 185.57/30.06  | | BETA: splitting (74) gives:
% 185.57/30.06  | | 
% 185.57/30.06  | | Case 1:
% 185.57/30.06  | | | 
% 185.57/30.06  | | |   (75)  all_56_5 = e2 & op(e2, e1) = e2
% 185.57/30.06  | | | 
% 185.57/30.06  | | | ALPHA: (75) implies:
% 185.57/30.06  | | |   (76)  op(e2, e1) = e2
% 185.57/30.06  | | | 
% 185.57/30.06  | | | REF_CLOSE: (1), (12), (17), (29), (32), (39), (76) are inconsistent by
% 185.57/30.06  | | |            sub-proof #1145.
% 185.57/30.06  | | | 
% 185.57/30.06  | | Case 2:
% 185.57/30.06  | | | 
% 185.57/30.06  | | |   (77)  all_56_10 = e2 & op(e2, e0) = e2
% 185.57/30.06  | | | 
% 185.57/30.06  | | | ALPHA: (77) implies:
% 185.57/30.06  | | |   (78)  all_56_10 = e2
% 185.57/30.06  | | | 
% 185.57/30.06  | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (10), (11), (14), (15), (16),
% 185.57/30.06  | | |            (17), (18), (19), (21), (22), (23), (24), (25), (26), (27),
% 185.57/30.06  | | |            (28), (29), (31), (33), (34), (35), (37), (38), (40), (41),
% 185.57/30.06  | | |            (42), (43), (44), (45), (46), (47), (48), (49), (50), (51),
% 185.57/30.06  | | |            (52), (53), (54), (55), (57), (58), (59), (60), (61), (62),
% 185.57/30.06  | | |            (63), (64), (65), (66), (67), (78) are inconsistent by
% 185.57/30.06  | | |            sub-proof #667.
% 185.57/30.06  | | | 
% 185.57/30.06  | | End of split
% 185.57/30.06  | | 
% 185.57/30.06  | End of split
% 185.57/30.06  | 
% 185.57/30.06  End of proof
% 185.57/30.06  
% 185.57/30.06  Sub-proof #667 shows that the following formulas are inconsistent:
% 185.57/30.06  ----------------------------------------------------------------
% 185.57/30.06    (1)  op(e0, e0) = all_6_2
% 185.57/30.06    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.57/30.06         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/30.06    (3)   ~ (all_4_2 = e0)
% 185.57/30.06    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.57/30.06         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.57/30.06    (5)   ~ (all_6_2 = e1)
% 185.57/30.06    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.57/30.06         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.57/30.06    (7)  all_56_10 = e2
% 185.57/30.06    (8)  op(e1, e3) = all_52_2
% 185.57/30.06    (9)  op(e0, e2) = e2
% 185.57/30.06    (10)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.57/30.06          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.57/30.06    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.06          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.06    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.57/30.06          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.57/30.06    (13)  op(e2, e1) = all_52_9
% 185.57/30.06    (14)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.06          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.06    (15)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.57/30.06          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.57/30.06    (16)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.57/30.06          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.57/30.06    (17)   ~ (all_52_1 = e2)
% 185.57/30.06    (18)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.57/30.06          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.57/30.06    (19)   ~ (e3 = e1)
% 185.57/30.06    (20)   ~ (all_52_4 = all_52_7)
% 185.57/30.06    (21)  op(e2, e3) = all_52_1
% 185.57/30.06    (22)  all_54_4 = all_52_1
% 185.57/30.06    (23)   ~ (all_52_1 = e3)
% 185.57/30.06    (24)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.06            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.06    (25)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.57/30.06          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.06    (26)   ~ (all_52_1 = all_52_13)
% 185.57/30.06    (27)   ~ (all_52_6 = e2)
% 185.57/30.06    (28)   ~ (all_52_1 = e1)
% 185.57/30.06    (29)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.57/30.06          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.57/30.06    (30)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.06          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.06    (31)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.57/30.06          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.57/30.06    (32)  all_54_4 = e1 | all_54_4 = e0
% 185.57/30.06    (33)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.57/30.06          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.57/30.06            e1)
% 185.57/30.06    (34)  all_56_6 = e3
% 185.57/30.06    (35)  op(e2, e0) = all_52_13
% 185.57/30.06    (36)   ~ (e3 = e2)
% 185.57/30.06    (37)  op(e3, e3) = e1
% 185.57/30.06    (38)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.57/30.06          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.57/30.06    (39)  op(e3, e1) = all_52_8
% 185.57/30.06    (40)  op(e3, e3) = all_4_2
% 185.57/30.06    (41)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.57/30.06          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.57/30.06    (42)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.57/30.06          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.57/30.06    (43)  op(e3, e2) = all_52_4
% 185.57/30.06    (44)   ~ (all_40_1 = e0)
% 185.57/30.06    (45)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.57/30.06          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.57/30.06    (46)  op(e1, e2) = all_52_6
% 185.57/30.06    (47)  op(e1, e1) = e2
% 185.57/30.06    (48)   ~ (e2 = e1)
% 185.57/30.06    (49)  op(e0, e2) = all_52_7
% 185.57/30.06    (50)   ~ (all_52_1 = all_52_9)
% 185.57/30.06    (51)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.06              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.57/30.06                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.57/30.06                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.57/30.06    (52)  op(e1, e3) = all_40_1
% 185.57/30.06    (53)  op(e2, e2) = e2
% 185.57/30.06    (54)   ~ (all_52_8 = e1)
% 185.57/30.06    (55)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.57/30.06          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.57/30.06    (56)   ~ (all_52_2 = e1)
% 185.57/30.06    (57)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.57/30.06          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.57/30.06  
% 185.57/30.06  Begin of proof
% 185.57/30.06  | 
% 185.57/30.06  | BETA: splitting (31) gives:
% 185.57/30.06  | 
% 185.57/30.06  | Case 1:
% 185.57/30.06  | | 
% 185.57/30.06  | |   (58)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 185.57/30.06  | |           e2)
% 185.57/30.06  | | 
% 185.57/30.06  | | REF_CLOSE: (9), (20), (24), (37), (43), (48), (49), (58) are inconsistent by
% 185.57/30.06  | |            sub-proof #690.
% 185.57/30.06  | | 
% 185.57/30.06  | Case 2:
% 185.57/30.06  | | 
% 185.57/30.06  | |   (59)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 185.57/30.06  | |           e2)
% 185.57/30.06  | | 
% 185.57/30.06  | | BETA: splitting (59) gives:
% 185.57/30.06  | | 
% 185.57/30.06  | | Case 1:
% 185.57/30.06  | | | 
% 185.57/30.06  | | |   (60)  all_56_4 = e2 & op(e3, e1) = e2
% 185.57/30.06  | | | 
% 185.57/30.06  | | | ALPHA: (60) implies:
% 185.57/30.06  | | |   (61)  all_56_4 = e2
% 185.57/30.06  | | | 
% 185.57/30.06  | | | BETA: splitting (32) gives:
% 185.57/30.06  | | | 
% 185.57/30.06  | | | Case 1:
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | |   (62)  all_54_4 = e1
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | COMBINE_EQS: (22), (62) imply:
% 185.57/30.06  | | | |   (63)  all_52_1 = e1
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | REDUCE: (28), (63) imply:
% 185.57/30.06  | | | |   (64)  $false
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | CLOSE: (64) is inconsistent.
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | Case 2:
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | |   (65)  all_54_4 = e0
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | COMBINE_EQS: (22), (65) imply:
% 185.57/30.06  | | | |   (66)  all_52_1 = e0
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | REDUCE: (50), (66) imply:
% 185.57/30.06  | | | |   (67)   ~ (all_52_9 = e0)
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | SIMP: (67) implies:
% 185.57/30.06  | | | |   (68)   ~ (all_52_9 = e0)
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | REDUCE: (23), (66) imply:
% 185.57/30.06  | | | |   (69)   ~ (e3 = e0)
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | SIMP: (69) implies:
% 185.57/30.06  | | | |   (70)   ~ (e3 = e0)
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | REDUCE: (17), (66) imply:
% 185.57/30.06  | | | |   (71)   ~ (e2 = e0)
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | SIMP: (71) implies:
% 185.57/30.06  | | | |   (72)   ~ (e2 = e0)
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | REDUCE: (28), (66) imply:
% 185.57/30.06  | | | |   (73)   ~ (e1 = e0)
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | SIMP: (73) implies:
% 185.57/30.06  | | | |   (74)   ~ (e1 = e0)
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | BETA: splitting (42) gives:
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | Case 1:
% 185.57/30.06  | | | | | 
% 185.57/30.06  | | | | |   (75)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2,
% 185.57/30.06  | | | | |             e2) = e3)
% 185.57/30.06  | | | | | 
% 185.57/30.06  | | | | | REF_CLOSE: (2), (3), (8), (12), (14), (19), (24), (36), (37), (40),
% 185.57/30.06  | | | | |            (44), (45), (47), (48), (52), (53), (55), (70), (72), (74),
% 185.57/30.06  | | | | |            (75) are inconsistent by sub-proof #689.
% 185.57/30.06  | | | | | 
% 185.57/30.06  | | | | Case 2:
% 185.57/30.06  | | | | | 
% 185.57/30.06  | | | | |   (76)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2,
% 185.57/30.06  | | | | |             e0) = e3)
% 185.57/30.06  | | | | | 
% 185.57/30.06  | | | | | BETA: splitting (76) gives:
% 185.57/30.06  | | | | | 
% 185.57/30.06  | | | | | Case 1:
% 185.57/30.06  | | | | | | 
% 185.57/30.06  | | | | | |   (77)  all_56_5 = e3 & op(e2, e1) = e3
% 185.57/30.06  | | | | | | 
% 185.57/30.06  | | | | | | REF_CLOSE: (1), (3), (5), (7), (10), (11), (13), (19), (24), (25),
% 185.57/30.06  | | | | | |            (27), (29), (30), (31), (34), (36), (37), (39), (40),
% 185.57/30.06  | | | | | |            (46), (47), (48), (54), (57), (61), (68), (70), (72),
% 185.57/30.06  | | | | | |            (74), (77) are inconsistent by sub-proof #687.
% 185.57/30.06  | | | | | | 
% 185.57/30.06  | | | | | Case 2:
% 185.57/30.06  | | | | | | 
% 185.57/30.06  | | | | | |   (78)  all_56_10 = e3 & op(e2, e0) = e3
% 185.57/30.06  | | | | | | 
% 185.57/30.06  | | | | | | REF_CLOSE: (7), (36), (78) are inconsistent by sub-proof #1331.
% 185.57/30.06  | | | | | | 
% 185.57/30.06  | | | | | End of split
% 185.57/30.06  | | | | | 
% 185.57/30.06  | | | | End of split
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | End of split
% 185.57/30.06  | | | 
% 185.57/30.06  | | Case 2:
% 185.57/30.06  | | | 
% 185.57/30.06  | | |   (79)  all_56_9 = e2 & op(e3, e0) = e2
% 185.57/30.06  | | | 
% 185.57/30.06  | | | ALPHA: (79) implies:
% 185.57/30.06  | | |   (80)  all_56_9 = e2
% 185.57/30.06  | | | 
% 185.57/30.06  | | | BETA: splitting (32) gives:
% 185.57/30.06  | | | 
% 185.57/30.06  | | | Case 1:
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | |   (81)  all_54_4 = e1
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | COMBINE_EQS: (22), (81) imply:
% 185.57/30.06  | | | |   (82)  all_52_1 = e1
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | REDUCE: (28), (82) imply:
% 185.57/30.06  | | | |   (83)  $false
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | CLOSE: (83) is inconsistent.
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | Case 2:
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | |   (84)  all_54_4 = e0
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | COMBINE_EQS: (22), (84) imply:
% 185.57/30.06  | | | |   (85)  all_52_1 = e0
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | REDUCE: (50), (85) imply:
% 185.57/30.06  | | | |   (86)   ~ (all_52_9 = e0)
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | SIMP: (86) implies:
% 185.57/30.06  | | | |   (87)   ~ (all_52_9 = e0)
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | REDUCE: (26), (85) imply:
% 185.57/30.06  | | | |   (88)   ~ (all_52_13 = e0)
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | SIMP: (88) implies:
% 185.57/30.06  | | | |   (89)   ~ (all_52_13 = e0)
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | REDUCE: (23), (85) imply:
% 185.57/30.06  | | | |   (90)   ~ (e3 = e0)
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | SIMP: (90) implies:
% 185.57/30.06  | | | |   (91)   ~ (e3 = e0)
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | REDUCE: (17), (85) imply:
% 185.57/30.06  | | | |   (92)   ~ (e2 = e0)
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | SIMP: (92) implies:
% 185.57/30.06  | | | |   (93)   ~ (e2 = e0)
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | REDUCE: (28), (85) imply:
% 185.57/30.06  | | | |   (94)   ~ (e1 = e0)
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | SIMP: (94) implies:
% 185.57/30.06  | | | |   (95)   ~ (e1 = e0)
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | BETA: splitting (42) gives:
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | | Case 1:
% 185.57/30.06  | | | | | 
% 185.57/30.06  | | | | |   (96)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2,
% 185.57/30.06  | | | | |             e2) = e3)
% 185.57/30.06  | | | | | 
% 185.57/30.06  | | | | | REF_CLOSE: (2), (3), (8), (12), (14), (19), (24), (36), (37), (40),
% 185.57/30.06  | | | | |            (44), (45), (47), (48), (52), (53), (55), (91), (93), (95),
% 185.57/30.06  | | | | |            (96) are inconsistent by sub-proof #689.
% 185.57/30.06  | | | | | 
% 185.57/30.06  | | | | Case 2:
% 185.57/30.06  | | | | | 
% 185.57/30.06  | | | | |   (97)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2,
% 185.57/30.06  | | | | |             e0) = e3)
% 185.57/30.06  | | | | | 
% 185.57/30.06  | | | | | BETA: splitting (97) gives:
% 185.57/30.06  | | | | | 
% 185.57/30.06  | | | | | Case 1:
% 185.57/30.06  | | | | | | 
% 185.57/30.06  | | | | | |   (98)  all_56_5 = e3 & op(e2, e1) = e3
% 185.57/30.06  | | | | | | 
% 185.57/30.06  | | | | | | ALPHA: (98) implies:
% 185.57/30.06  | | | | | |   (99)  op(e2, e1) = e3
% 185.57/30.06  | | | | | | 
% 185.57/30.06  | | | | | | BETA: splitting (12) gives:
% 185.57/30.06  | | | | | | 
% 185.57/30.06  | | | | | | Case 1:
% 185.57/30.06  | | | | | | | 
% 185.57/30.06  | | | | | | |   (100)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 &
% 185.57/30.06  | | | | | | |            op(e2, e3) = e2)
% 185.57/30.06  | | | | | | | 
% 185.57/30.06  | | | | | | | REF_CLOSE: (13), (16), (24), (35), (37), (48), (53), (87), (89),
% 185.57/30.06  | | | | | | |            (93), (100) are inconsistent by sub-proof #686.
% 185.57/30.06  | | | | | | | 
% 185.57/30.06  | | | | | | Case 2:
% 185.57/30.06  | | | | | | | 
% 185.57/30.06  | | | | | | |   (101)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 &
% 185.57/30.06  | | | | | | |            op(e0, e3) = e2)
% 185.57/30.06  | | | | | | | 
% 185.57/30.06  | | | | | | | BETA: splitting (101) gives:
% 185.57/30.06  | | | | | | | 
% 185.57/30.06  | | | | | | | Case 1:
% 185.57/30.06  | | | | | | | | 
% 185.57/30.06  | | | | | | | |   (102)  all_56_6 = e2 & op(e1, e3) = e2
% 185.57/30.06  | | | | | | | | 
% 185.57/30.06  | | | | | | | | REF_CLOSE: (34), (36), (102) are inconsistent by sub-proof
% 185.57/30.06  | | | | | | | |            #1232.
% 185.57/30.06  | | | | | | | | 
% 185.57/30.06  | | | | | | | Case 2:
% 185.57/30.06  | | | | | | | | 
% 185.57/30.06  | | | | | | | |   (103)  all_56_12 = e2 & op(e0, e3) = e2
% 185.57/30.06  | | | | | | | | 
% 185.57/30.06  | | | | | | | | ALPHA: (103) implies:
% 185.57/30.06  | | | | | | | |   (104)  all_56_12 = e2
% 185.57/30.06  | | | | | | | | 
% 185.57/30.06  | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11),
% 185.57/30.06  | | | | | | | |            (13), (14), (15), (18), (19), (21), (24), (25), (27),
% 185.57/30.06  | | | | | | | |            (28), (29), (30), (31), (33), (34), (35), (36), (37),
% 185.57/30.06  | | | | | | | |            (38), (39), (40), (41), (42), (44), (45), (46), (47),
% 185.57/30.06  | | | | | | | |            (48), (51), (52), (53), (54), (55), (56), (57), (80),
% 185.57/30.06  | | | | | | | |            (87), (89), (91), (93), (95), (99), (104) are
% 185.57/30.06  | | | | | | | |            inconsistent by sub-proof #668.
% 185.57/30.06  | | | | | | | | 
% 185.57/30.06  | | | | | | | End of split
% 185.57/30.06  | | | | | | | 
% 185.57/30.06  | | | | | | End of split
% 185.57/30.06  | | | | | | 
% 185.57/30.06  | | | | | Case 2:
% 185.57/30.06  | | | | | | 
% 185.57/30.06  | | | | | |   (105)  all_56_10 = e3 & op(e2, e0) = e3
% 185.57/30.06  | | | | | | 
% 185.57/30.06  | | | | | | REF_CLOSE: (7), (36), (105) are inconsistent by sub-proof #1331.
% 185.57/30.06  | | | | | | 
% 185.57/30.06  | | | | | End of split
% 185.57/30.06  | | | | | 
% 185.57/30.06  | | | | End of split
% 185.57/30.06  | | | | 
% 185.57/30.06  | | | End of split
% 185.57/30.06  | | | 
% 185.57/30.06  | | End of split
% 185.57/30.06  | | 
% 185.57/30.06  | End of split
% 185.57/30.06  | 
% 185.57/30.06  End of proof
% 185.57/30.06  
% 185.57/30.06  Sub-proof #668 shows that the following formulas are inconsistent:
% 185.57/30.06  ----------------------------------------------------------------
% 185.57/30.06    (1)  op(e0, e0) = all_6_2
% 185.57/30.06    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.57/30.06         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/30.06    (3)  all_56_9 = e2
% 185.57/30.07    (4)   ~ (all_4_2 = e0)
% 185.57/30.07    (5)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.57/30.07         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.57/30.07    (6)   ~ (all_6_2 = e1)
% 185.57/30.07    (7)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.57/30.07         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.57/30.07    (8)  all_56_10 = e2
% 185.57/30.07    (9)   ~ (e1 = e0)
% 185.57/30.07    (10)  op(e1, e3) = all_52_2
% 185.57/30.07    (11)   ~ (all_52_9 = e0)
% 185.57/30.07    (12)   ~ (e3 = e0)
% 185.57/30.07    (13)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.57/30.07          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.57/30.07    (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.07          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.07    (15)  op(e2, e1) = all_52_9
% 185.57/30.07    (16)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.07          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.07    (17)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.57/30.07          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.57/30.07    (18)   ~ (e2 = e0)
% 185.57/30.07    (19)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.57/30.07          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.57/30.07    (20)   ~ (e3 = e1)
% 185.57/30.07    (21)  op(e2, e3) = all_52_1
% 185.57/30.07    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.07            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.07    (23)  all_56_12 = e2
% 185.57/30.07    (24)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.57/30.07          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.07    (25)   ~ (all_52_6 = e2)
% 185.57/30.07    (26)   ~ (all_52_1 = e1)
% 185.57/30.07    (27)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.57/30.07          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.57/30.07    (28)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.07          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.07    (29)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.57/30.07          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.57/30.07    (30)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.57/30.07          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.57/30.07            e1)
% 185.57/30.07    (31)  all_56_6 = e3
% 185.57/30.07    (32)  op(e2, e0) = all_52_13
% 185.57/30.07    (33)   ~ (e3 = e2)
% 185.57/30.07    (34)  op(e3, e3) = e1
% 185.57/30.07    (35)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.57/30.07          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.57/30.07    (36)  op(e3, e1) = all_52_8
% 185.57/30.07    (37)  op(e3, e3) = all_4_2
% 185.57/30.07    (38)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.57/30.07          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.57/30.07    (39)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.57/30.07          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.57/30.07    (40)   ~ (all_40_1 = e0)
% 185.57/30.07    (41)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.57/30.07          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.57/30.07    (42)  op(e1, e2) = all_52_6
% 185.57/30.07    (43)  op(e2, e1) = e3
% 185.57/30.07    (44)  op(e1, e1) = e2
% 185.57/30.07    (45)   ~ (all_52_13 = e0)
% 185.57/30.07    (46)   ~ (e2 = e1)
% 185.57/30.07    (47)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.07              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.57/30.07                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.57/30.07                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.57/30.07    (48)  op(e1, e3) = all_40_1
% 185.57/30.07    (49)  op(e2, e2) = e2
% 185.57/30.07    (50)   ~ (all_52_8 = e1)
% 185.57/30.07    (51)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.57/30.07          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.57/30.07    (52)   ~ (all_52_2 = e1)
% 185.57/30.07    (53)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.57/30.07          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.57/30.07  
% 185.57/30.07  Begin of proof
% 185.57/30.07  | 
% 185.57/30.07  | BETA: splitting (19) gives:
% 185.57/30.07  | 
% 185.57/30.07  | Case 1:
% 185.57/30.07  | | 
% 185.57/30.07  | |   (54)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 185.57/30.07  | |           e2)
% 185.57/30.07  | | 
% 185.57/30.07  | | BETA: splitting (54) gives:
% 185.57/30.07  | | 
% 185.57/30.07  | | Case 1:
% 185.57/30.07  | | | 
% 185.57/30.07  | | |   (55)  all_56_1 = e2 & op(e3, e2) = e2
% 185.57/30.07  | | | 
% 185.57/30.07  | | | ALPHA: (55) implies:
% 185.57/30.07  | | |   (56)  all_56_1 = e2
% 185.57/30.07  | | | 
% 185.57/30.07  | | | REF_CLOSE: (1), (2), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 185.57/30.07  | | |            (14), (15), (16), (17), (18), (20), (21), (22), (23), (24),
% 185.57/30.07  | | |            (25), (26), (27), (28), (29), (31), (33), (34), (36), (37),
% 185.57/30.07  | | |            (38), (39), (40), (42), (44), (46), (48), (49), (50), (51),
% 185.57/30.07  | | |            (52), (53), (56) are inconsistent by sub-proof #678.
% 185.57/30.07  | | | 
% 185.57/30.07  | | Case 2:
% 185.57/30.07  | | | 
% 185.57/30.07  | | |   (57)  all_56_3 = e2 & op(e2, e2) = e2
% 185.57/30.07  | | | 
% 185.57/30.07  | | | ALPHA: (57) implies:
% 185.57/30.07  | | |   (58)  all_56_3 = e2
% 185.57/30.07  | | | 
% 185.57/30.07  | | | REF_CLOSE: (8), (17), (20), (21), (22), (26), (43), (46), (58) are
% 185.57/30.07  | | |            inconsistent by sub-proof #1063.
% 185.57/30.07  | | | 
% 185.57/30.07  | | End of split
% 185.57/30.07  | | 
% 185.57/30.07  | Case 2:
% 185.57/30.07  | | 
% 185.57/30.07  | |   (59)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 185.57/30.07  | |           e2)
% 185.57/30.07  | | 
% 185.57/30.07  | | BETA: splitting (59) gives:
% 185.57/30.07  | | 
% 185.57/30.07  | | Case 1:
% 185.57/30.07  | | | 
% 185.57/30.07  | | |   (60)  all_56_7 = e2 & op(e1, e2) = e2
% 185.57/30.07  | | | 
% 185.57/30.07  | | | ALPHA: (60) implies:
% 185.57/30.07  | | |   (61)  op(e1, e2) = e2
% 185.57/30.07  | | | 
% 185.57/30.07  | | | REF_CLOSE: (22), (25), (42), (61) are inconsistent by sub-proof #1614.
% 185.57/30.07  | | | 
% 185.57/30.07  | | Case 2:
% 185.57/30.07  | | | 
% 185.57/30.07  | | |   (62)  all_56_13 = e2 & op(e0, e2) = e2
% 185.57/30.07  | | | 
% 185.57/30.07  | | | ALPHA: (62) implies:
% 185.57/30.07  | | |   (63)  all_56_13 = e2
% 185.57/30.07  | | | 
% 185.57/30.07  | | | BETA: splitting (5) gives:
% 185.57/30.07  | | | 
% 185.57/30.07  | | | Case 1:
% 185.57/30.07  | | | | 
% 185.57/30.07  | | | |   (64)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2)
% 185.57/30.07  | | | |           = e3)
% 185.57/30.07  | | | | 
% 185.57/30.07  | | | | BETA: splitting (64) gives:
% 185.57/30.07  | | | | 
% 185.57/30.07  | | | | Case 1:
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | |   (65)  all_56_1 = e3 & op(e3, e2) = e3
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | | ALPHA: (65) implies:
% 185.57/30.07  | | | | |   (66)  all_56_1 = e3
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | | BETA: splitting (13) gives:
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | | Case 1:
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | |   (67)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2,
% 185.57/30.07  | | | | | |             e0) = e1)
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | | REF_CLOSE: (3), (4), (8), (9), (12), (14), (18), (20), (22), (28),
% 185.57/30.07  | | | | | |            (29), (33), (34), (36), (37), (46), (67) are inconsistent
% 185.57/30.07  | | | | | |            by sub-proof #677.
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | Case 2:
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | |   (68)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 &
% 185.57/30.07  | | | | | |           op(e0, e0) = e1)
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | | BETA: splitting (68) gives:
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | | Case 1:
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | |   (69)  all_56_11 = e1 & op(e1, e0) = e1
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | ALPHA: (69) implies:
% 185.57/30.07  | | | | | | |   (70)  all_56_11 = e1
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | BETA: splitting (35) gives:
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | Case 1:
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | |   (71)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 &
% 185.57/30.07  | | | | | | | |           op(e2, e0) = e3)
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | | BETA: splitting (71) gives:
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | | Case 1:
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | |   (72)  all_56_9 = e3 & op(e3, e0) = e3
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | ALPHA: (72) implies:
% 185.57/30.07  | | | | | | | | |   (73)  all_56_9 = e3
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | COMBINE_EQS: (3), (73) imply:
% 185.57/30.07  | | | | | | | | |   (74)  e3 = e2
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | COMBINE_EQS: (66), (74) imply:
% 185.57/30.07  | | | | | | | | |   (75)  all_56_1 = e2
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | REF_CLOSE: (2), (4), (7), (8), (9), (10), (11), (12), (14),
% 185.57/30.07  | | | | | | | | |            (15), (16), (17), (18), (20), (21), (22), (23),
% 185.57/30.07  | | | | | | | | |            (24), (25), (26), (27), (28), (29), (31), (33),
% 185.57/30.07  | | | | | | | | |            (34), (36), (37), (38), (39), (40), (42), (44),
% 185.57/30.07  | | | | | | | | |            (46), (48), (49), (50), (51), (52), (53), (70),
% 185.57/30.07  | | | | | | | | |            (75) are inconsistent by sub-proof #679.
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | Case 2:
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | |   (76)  all_56_10 = e3 & op(e2, e0) = e3
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | ALPHA: (76) implies:
% 185.57/30.07  | | | | | | | | |   (77)  all_56_10 = e3
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | COMBINE_EQS: (8), (77) imply:
% 185.57/30.07  | | | | | | | | |   (78)  e3 = e2
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | COMBINE_EQS: (66), (78) imply:
% 185.57/30.07  | | | | | | | | |   (79)  all_56_1 = e2
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | REF_CLOSE: (2), (4), (7), (8), (9), (10), (11), (12), (14),
% 185.57/30.07  | | | | | | | | |            (15), (16), (17), (18), (20), (21), (22), (23),
% 185.57/30.07  | | | | | | | | |            (24), (25), (26), (27), (28), (29), (31), (33),
% 185.57/30.07  | | | | | | | | |            (34), (36), (37), (38), (39), (40), (42), (44),
% 185.57/30.07  | | | | | | | | |            (46), (48), (49), (50), (51), (52), (53), (70),
% 185.57/30.07  | | | | | | | | |            (79) are inconsistent by sub-proof #679.
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | End of split
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | Case 2:
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | |   (80)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 185.57/30.07  | | | | | | | |           op(e0, e0) = e3)
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | | BETA: splitting (80) gives:
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | | Case 1:
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | |   (81)  all_56_11 = e3 & op(e1, e0) = e3
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | ALPHA: (81) implies:
% 185.57/30.07  | | | | | | | | |   (82)  all_56_11 = e3
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | COMBINE_EQS: (70), (82) imply:
% 185.57/30.07  | | | | | | | | |   (83)  e3 = e1
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | COMBINE_EQS: (66), (83) imply:
% 185.57/30.07  | | | | | | | | |   (84)  all_56_1 = e1
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | REF_CLOSE: (3), (4), (9), (12), (14), (18), (20), (22), (28),
% 185.57/30.07  | | | | | | | | |            (33), (34), (36), (37), (84) are inconsistent by
% 185.57/30.07  | | | | | | | | |            sub-proof #1398.
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | Case 2:
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | |   (85)  all_56_15 = e3 & op(e0, e0) = e3
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | ALPHA: (85) implies:
% 185.57/30.07  | | | | | | | | |   (86)  all_56_15 = e3
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | REF_CLOSE: (3), (9), (12), (18), (22), (32), (45), (47), (70),
% 185.57/30.07  | | | | | | | | |            (86) are inconsistent by sub-proof #1206.
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | End of split
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | End of split
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | Case 2:
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | |   (87)  all_56_15 = e1 & op(e0, e0) = e1
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | ALPHA: (87) implies:
% 185.57/30.07  | | | | | | |   (88)  op(e0, e0) = e1
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | REF_CLOSE: (1), (6), (22), (88) are inconsistent by sub-proof
% 185.57/30.07  | | | | | | |            #1516.
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | End of split
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | End of split
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | Case 2:
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | |   (89)  all_56_3 = e3 & op(e2, e2) = e3
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | | ALPHA: (89) implies:
% 185.57/30.07  | | | | |   (90)  op(e2, e2) = e3
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | | REF_CLOSE: (22), (33), (49), (90) are inconsistent by sub-proof #1602.
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | End of split
% 185.57/30.07  | | | | 
% 185.57/30.07  | | | Case 2:
% 185.57/30.07  | | | | 
% 185.57/30.07  | | | |   (91)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2)
% 185.57/30.07  | | | |           = e3)
% 185.57/30.07  | | | | 
% 185.57/30.07  | | | | BETA: splitting (91) gives:
% 185.57/30.07  | | | | 
% 185.57/30.07  | | | | Case 1:
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | |   (92)  all_56_7 = e3 & op(e1, e2) = e3
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | | ALPHA: (92) implies:
% 185.57/30.07  | | | | |   (93)  all_56_7 = e3
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | | BETA: splitting (35) gives:
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | | Case 1:
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | |   (94)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2,
% 185.57/30.07  | | | | | |             e0) = e3)
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | | BETA: splitting (94) gives:
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | | Case 1:
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | |   (95)  all_56_9 = e3 & op(e3, e0) = e3
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | ALPHA: (95) implies:
% 185.57/30.07  | | | | | | |   (96)  all_56_9 = e3
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | COMBINE_EQS: (3), (96) imply:
% 185.57/30.07  | | | | | | |   (97)  e3 = e2
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | COMBINE_EQS: (31), (97) imply:
% 185.57/30.07  | | | | | | |   (98)  all_56_6 = e2
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | REF_CLOSE: (2), (9), (10), (12), (16), (18), (20), (22), (33),
% 185.57/30.07  | | | | | | |            (40), (41), (44), (46), (48), (93), (98) are
% 185.57/30.07  | | | | | | |            inconsistent by sub-proof #676.
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | Case 2:
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | |   (99)  all_56_10 = e3 & op(e2, e0) = e3
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | ALPHA: (99) implies:
% 185.57/30.07  | | | | | | |   (100)  all_56_10 = e3
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | COMBINE_EQS: (8), (100) imply:
% 185.57/30.07  | | | | | | |   (101)  e3 = e2
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | COMBINE_EQS: (31), (101) imply:
% 185.57/30.07  | | | | | | |   (102)  all_56_6 = e2
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | REF_CLOSE: (2), (9), (10), (12), (16), (18), (20), (22), (33),
% 185.57/30.07  | | | | | | |            (40), (41), (44), (46), (48), (93), (102) are
% 185.57/30.07  | | | | | | |            inconsistent by sub-proof #676.
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | End of split
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | Case 2:
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | |   (103)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 185.57/30.07  | | | | | |            op(e0, e0) = e3)
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | | BETA: splitting (103) gives:
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | | Case 1:
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | |   (104)  all_56_11 = e3 & op(e1, e0) = e3
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | ALPHA: (104) implies:
% 185.57/30.07  | | | | | | |   (105)  all_56_11 = e3
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | BETA: splitting (13) gives:
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | Case 1:
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | |   (106)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 &
% 185.57/30.07  | | | | | | | |            op(e2, e0) = e1)
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | | REF_CLOSE: (3), (4), (8), (9), (12), (14), (18), (20), (22),
% 185.57/30.07  | | | | | | | |            (28), (29), (33), (34), (36), (37), (46), (106) are
% 185.57/30.07  | | | | | | | |            inconsistent by sub-proof #677.
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | Case 2:
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | |   (107)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 &
% 185.57/30.07  | | | | | | | |            op(e0, e0) = e1)
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | | BETA: splitting (107) gives:
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | | Case 1:
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | |   (108)  all_56_11 = e1 & op(e1, e0) = e1
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | ALPHA: (108) implies:
% 185.57/30.07  | | | | | | | | |   (109)  all_56_11 = e1
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | REF_CLOSE: (9), (10), (12), (16), (18), (22), (25), (27),
% 185.57/30.07  | | | | | | | | |            (31), (33), (40), (42), (46), (48), (93), (109) are
% 185.57/30.07  | | | | | | | | |            inconsistent by sub-proof #675.
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | Case 2:
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | |   (110)  all_56_15 = e1 & op(e0, e0) = e1
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | ALPHA: (110) implies:
% 185.57/30.07  | | | | | | | | |   (111)  all_56_15 = e1
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | REF_CLOSE: (3), (9), (12), (18), (22), (32), (45), (47),
% 185.57/30.07  | | | | | | | | |            (105), (111) are inconsistent by sub-proof #1201.
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | End of split
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | End of split
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | Case 2:
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | |   (112)  all_56_15 = e3 & op(e0, e0) = e3
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | REF_CLOSE: (1), (3), (4), (6), (9), (12), (13), (14), (18), (20),
% 185.57/30.07  | | | | | | |            (22), (23), (28), (29), (30), (32), (33), (34), (35),
% 185.57/30.07  | | | | | | |            (36), (37), (43), (44), (45), (46), (47), (53), (63),
% 185.57/30.07  | | | | | | |            (112) are inconsistent by sub-proof #669.
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | End of split
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | End of split
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | Case 2:
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | |   (113)  all_56_13 = e3 & op(e0, e2) = e3
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | | REF_CLOSE: (33), (63), (113) are inconsistent by sub-proof #760.
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | End of split
% 185.57/30.07  | | | | 
% 185.57/30.07  | | | End of split
% 185.57/30.07  | | | 
% 185.57/30.07  | | End of split
% 185.57/30.07  | | 
% 185.57/30.07  | End of split
% 185.57/30.07  | 
% 185.57/30.07  End of proof
% 185.57/30.07  
% 185.57/30.07  Sub-proof #669 shows that the following formulas are inconsistent:
% 185.57/30.07  ----------------------------------------------------------------
% 185.57/30.07    (1)  op(e0, e0) = all_6_2
% 185.57/30.07    (2)  all_56_9 = e2
% 185.57/30.07    (3)   ~ (all_4_2 = e0)
% 185.57/30.07    (4)   ~ (all_6_2 = e1)
% 185.57/30.07    (5)   ~ (e1 = e0)
% 185.57/30.07    (6)   ~ (e3 = e0)
% 185.57/30.07    (7)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.57/30.07         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.57/30.07    (8)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.07         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.07    (9)   ~ (e2 = e0)
% 185.57/30.07    (10)   ~ (e3 = e1)
% 185.57/30.07    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.07            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.07    (12)  all_56_12 = e2
% 185.57/30.07    (13)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.07          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.07    (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.57/30.07          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.57/30.07    (15)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.57/30.07          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.57/30.07            e1)
% 185.57/30.07    (16)  op(e2, e0) = all_52_13
% 185.57/30.07    (17)   ~ (e3 = e2)
% 185.57/30.07    (18)  op(e3, e3) = e1
% 185.57/30.07    (19)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.57/30.07          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.57/30.07    (20)  op(e3, e1) = all_52_8
% 185.57/30.07    (21)  op(e3, e3) = all_4_2
% 185.57/30.07    (22)  op(e2, e1) = e3
% 185.57/30.07    (23)  op(e1, e1) = e2
% 185.57/30.07    (24)   ~ (all_52_13 = e0)
% 185.57/30.07    (25)   ~ (e2 = e1)
% 185.57/30.07    (26)  all_56_13 = e2
% 185.57/30.07    (27)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.07              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.57/30.07                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.57/30.07                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.57/30.07    (28)  all_56_15 = e3 & op(e0, e0) = e3
% 185.57/30.07    (29)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.57/30.07          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.57/30.07  
% 185.57/30.07  Begin of proof
% 185.57/30.07  | 
% 185.57/30.07  | ALPHA: (28) implies:
% 185.57/30.07  |   (30)  op(e0, e0) = e3
% 185.57/30.07  | 
% 185.57/30.07  | BETA: splitting (27) gives:
% 185.57/30.07  | 
% 185.57/30.07  | Case 1:
% 185.57/30.07  | | 
% 185.57/30.07  | |   (31)  all_56_15 = e0 & op(e0, e0) = e0
% 185.57/30.07  | | 
% 185.57/30.07  | | ALPHA: (31) implies:
% 185.57/30.07  | |   (32)  op(e0, e0) = e0
% 185.57/30.07  | | 
% 185.57/30.07  | | REF_CLOSE: (6), (11), (30), (32) are inconsistent by sub-proof #1540.
% 185.57/30.07  | | 
% 185.57/30.07  | Case 2:
% 185.57/30.07  | | 
% 185.57/30.07  | |   (33)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 185.57/30.07  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 185.57/30.07  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 185.57/30.07  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 185.57/30.07  | | 
% 185.57/30.07  | | ALPHA: (33) implies:
% 185.57/30.07  | |   (34)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 185.57/30.07  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.07  | |   (35)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 185.57/30.07  | |           e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.07  | | 
% 185.57/30.07  | | BETA: splitting (34) gives:
% 185.57/30.07  | | 
% 185.57/30.07  | | Case 1:
% 185.57/30.07  | | | 
% 185.57/30.07  | | |   (36)  all_56_12 = e0 & op(e0, e3) = e0
% 185.57/30.07  | | | 
% 185.57/30.07  | | | ALPHA: (36) implies:
% 185.57/30.07  | | |   (37)  all_56_12 = e0
% 185.57/30.07  | | | 
% 185.57/30.07  | | | REF_CLOSE: (9), (12), (37) are inconsistent by sub-proof #1548.
% 185.57/30.07  | | | 
% 185.57/30.07  | | Case 2:
% 185.57/30.07  | | | 
% 185.57/30.07  | | |   (38)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 185.57/30.07  | | |           = e0)
% 185.57/30.07  | | | 
% 185.57/30.07  | | | BETA: splitting (38) gives:
% 185.57/30.07  | | | 
% 185.57/30.07  | | | Case 1:
% 185.57/30.07  | | | | 
% 185.57/30.07  | | | |   (39)  all_56_13 = e0 & op(e0, e2) = e0
% 185.57/30.07  | | | | 
% 185.57/30.07  | | | | ALPHA: (39) implies:
% 185.57/30.07  | | | |   (40)  all_56_13 = e0
% 185.57/30.07  | | | | 
% 185.57/30.07  | | | | REF_CLOSE: (9), (26), (40) are inconsistent by sub-proof #1014.
% 185.57/30.07  | | | | 
% 185.57/30.07  | | | Case 2:
% 185.57/30.07  | | | | 
% 185.57/30.07  | | | |   (41)  all_56_14 = e0 & op(e0, e1) = e0
% 185.57/30.07  | | | | 
% 185.57/30.07  | | | | ALPHA: (41) implies:
% 185.57/30.07  | | | |   (42)  all_56_14 = e0
% 185.57/30.07  | | | |   (43)  op(e0, e1) = e0
% 185.57/30.07  | | | | 
% 185.57/30.07  | | | | BETA: splitting (7) gives:
% 185.57/30.07  | | | | 
% 185.57/30.07  | | | | Case 1:
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | |   (44)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2,
% 185.57/30.07  | | | | |             e0) = e1)
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | | BETA: splitting (44) gives:
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | | Case 1:
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | |   (45)  all_56_9 = e1 & op(e3, e0) = e1
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | | ALPHA: (45) implies:
% 185.57/30.07  | | | | | |   (46)  all_56_9 = e1
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | | REF_CLOSE: (3), (5), (6), (8), (9), (10), (11), (13), (14), (17),
% 185.57/30.07  | | | | | |            (18), (20), (21), (25), (46) are inconsistent by
% 185.57/30.07  | | | | | |            sub-proof #1103.
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | Case 2:
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | |   (47)  all_56_10 = e1 & op(e2, e0) = e1
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | | ALPHA: (47) implies:
% 185.57/30.07  | | | | | |   (48)  all_56_10 = e1
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | | REF_CLOSE: (2), (5), (6), (9), (10), (11), (12), (15), (16), (17),
% 185.57/30.07  | | | | | |            (19), (24), (25), (26), (27), (42), (48) are inconsistent
% 185.57/30.07  | | | | | |            by sub-proof #672.
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | End of split
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | Case 2:
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | |   (49)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 185.57/30.07  | | | | |             e0) = e1)
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | | BETA: splitting (49) gives:
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | | Case 1:
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | |   (50)  all_56_11 = e1 & op(e1, e0) = e1
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | | ALPHA: (50) implies:
% 185.57/30.07  | | | | | |   (51)  all_56_11 = e1
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | | BETA: splitting (35) gives:
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | | Case 1:
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | |   (52)  all_56_9 = e0 & op(e3, e0) = e0
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | ALPHA: (52) implies:
% 185.57/30.07  | | | | | | |   (53)  all_56_9 = e0
% 185.57/30.07  | | | | | | |   (54)  op(e3, e0) = e0
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | BETA: splitting (29) gives:
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | Case 1:
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | |   (55)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 &
% 185.57/30.07  | | | | | | | |           op(e2, e1) = e1)
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | | BETA: splitting (55) gives:
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | | Case 1:
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | |   (56)  all_56_4 = e1 & op(e3, e1) = e1
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | ALPHA: (56) implies:
% 185.57/30.07  | | | | | | | | |   (57)  all_56_4 = e1
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | REF_CLOSE: (6), (9), (10), (11), (13), (14), (17), (18), (25),
% 185.57/30.07  | | | | | | | | |            (53), (54), (57) are inconsistent by sub-proof
% 185.57/30.07  | | | | | | | | |            #670.
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | Case 2:
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | |   (58)  all_56_5 = e1 & op(e2, e1) = e1
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | ALPHA: (58) implies:
% 185.57/30.07  | | | | | | | | |   (59)  op(e2, e1) = e1
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | REF_CLOSE: (10), (11), (22), (59) are inconsistent by
% 185.57/30.07  | | | | | | | | |            sub-proof #1456.
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | End of split
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | Case 2:
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | |   (60)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 &
% 185.57/30.07  | | | | | | | |           op(e0, e1) = e1)
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | | BETA: splitting (60) gives:
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | | Case 1:
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | |   (61)  all_56_8 = e1 & op(e1, e1) = e1
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | ALPHA: (61) implies:
% 185.57/30.07  | | | | | | | | |   (62)  op(e1, e1) = e1
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | REF_CLOSE: (11), (23), (25), (62) are inconsistent by
% 185.57/30.07  | | | | | | | | |            sub-proof #1473.
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | Case 2:
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | |   (63)  all_56_14 = e1 & op(e0, e1) = e1
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | ALPHA: (63) implies:
% 185.57/30.07  | | | | | | | | |   (64)  op(e0, e1) = e1
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | | REF_CLOSE: (5), (11), (43), (64) are inconsistent by sub-proof
% 185.57/30.07  | | | | | | | | |            #1171.
% 185.57/30.07  | | | | | | | | | 
% 185.57/30.07  | | | | | | | | End of split
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | End of split
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | Case 2:
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | |   (65)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 185.57/30.07  | | | | | | |           op(e1, e0) = e0)
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | BETA: splitting (65) gives:
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | | Case 1:
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | |   (66)  all_56_10 = e0 & op(e2, e0) = e0
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | | ALPHA: (66) implies:
% 185.57/30.07  | | | | | | | |   (67)  op(e2, e0) = e0
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | | REF_CLOSE: (11), (16), (24), (67) are inconsistent by sub-proof
% 185.57/30.07  | | | | | | | |            #1504.
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | Case 2:
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | |   (68)  all_56_11 = e0 & op(e1, e0) = e0
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | | ALPHA: (68) implies:
% 185.57/30.07  | | | | | | | |   (69)  all_56_11 = e0
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | | REF_CLOSE: (5), (51), (69) are inconsistent by sub-proof #736.
% 185.57/30.07  | | | | | | | | 
% 185.57/30.07  | | | | | | | End of split
% 185.57/30.07  | | | | | | | 
% 185.57/30.07  | | | | | | End of split
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | Case 2:
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | |   (70)  all_56_15 = e1 & op(e0, e0) = e1
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | | ALPHA: (70) implies:
% 185.57/30.07  | | | | | |   (71)  op(e0, e0) = e1
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | | REF_CLOSE: (1), (4), (11), (71) are inconsistent by sub-proof #1516.
% 185.57/30.07  | | | | | | 
% 185.57/30.07  | | | | | End of split
% 185.57/30.07  | | | | | 
% 185.57/30.07  | | | | End of split
% 185.57/30.07  | | | | 
% 185.57/30.07  | | | End of split
% 185.57/30.07  | | | 
% 185.57/30.07  | | End of split
% 185.57/30.07  | | 
% 185.57/30.07  | End of split
% 185.57/30.07  | 
% 185.57/30.07  End of proof
% 185.57/30.07  
% 185.57/30.07  Sub-proof #670 shows that the following formulas are inconsistent:
% 185.57/30.07  ----------------------------------------------------------------
% 185.57/30.07    (1)   ~ (e3 = e0)
% 185.57/30.07    (2)   ~ (e2 = e0)
% 185.57/30.07    (3)   ~ (e3 = e1)
% 185.57/30.07    (4)  all_56_9 = e0
% 185.57/30.07    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.07    (6)  all_56_4 = e1
% 185.57/30.07    (7)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.07         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.07    (8)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.57/30.07         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.57/30.07    (9)   ~ (e3 = e2)
% 185.57/30.07    (10)  op(e3, e3) = e1
% 185.57/30.07    (11)  op(e3, e0) = e0
% 185.57/30.07    (12)   ~ (e2 = e1)
% 185.57/30.07  
% 185.57/30.07  Begin of proof
% 185.57/30.07  | 
% 185.57/30.07  | BETA: splitting (7) gives:
% 185.57/30.07  | 
% 185.57/30.07  | Case 1:
% 185.57/30.07  | | 
% 185.57/30.07  | |   (13)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 185.57/30.07  | |           e3)
% 185.57/30.07  | | 
% 185.57/30.07  | | BETA: splitting (13) gives:
% 185.57/30.07  | | 
% 185.57/30.07  | | Case 1:
% 185.57/30.07  | | | 
% 185.57/30.07  | | |   (14)  all_56_0 = e3 & op(e3, e3) = e3
% 185.57/30.07  | | | 
% 185.57/30.07  | | | ALPHA: (14) implies:
% 185.57/30.07  | | |   (15)  op(e3, e3) = e3
% 185.57/30.07  | | | 
% 185.57/30.07  | | | REF_CLOSE: (3), (5), (10), (15) are inconsistent by sub-proof #1600.
% 185.57/30.07  | | | 
% 185.57/30.07  | | Case 2:
% 185.57/30.07  | | | 
% 185.57/30.07  | | |   (16)  all_56_1 = e3 & op(e3, e2) = e3
% 185.57/30.07  | | | 
% 185.57/30.07  | | | ALPHA: (16) implies:
% 185.57/30.07  | | |   (17)  all_56_1 = e3
% 185.57/30.07  | | | 
% 185.57/30.07  | | | REF_CLOSE: (2), (4), (5), (6), (8), (9), (10), (12), (17) are inconsistent
% 185.57/30.07  | | |            by sub-proof #671.
% 185.57/30.07  | | | 
% 185.57/30.07  | | End of split
% 185.57/30.07  | | 
% 185.57/30.07  | Case 2:
% 185.57/30.07  | | 
% 185.57/30.07  | |   (18)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 185.57/30.07  | |           e3)
% 185.57/30.07  | | 
% 185.57/30.07  | | BETA: splitting (18) gives:
% 185.57/30.07  | | 
% 185.57/30.07  | | Case 1:
% 185.57/30.07  | | | 
% 185.57/30.07  | | |   (19)  all_56_4 = e3 & op(e3, e1) = e3
% 185.57/30.07  | | | 
% 185.57/30.07  | | | ALPHA: (19) implies:
% 185.57/30.07  | | |   (20)  all_56_4 = e3
% 185.57/30.07  | | | 
% 185.57/30.07  | | | REF_CLOSE: (3), (6), (20) are inconsistent by sub-proof #1567.
% 185.57/30.07  | | | 
% 185.57/30.07  | | Case 2:
% 185.57/30.07  | | | 
% 185.57/30.07  | | |   (21)  all_56_9 = e3 & op(e3, e0) = e3
% 185.57/30.07  | | | 
% 185.57/30.07  | | | ALPHA: (21) implies:
% 185.57/30.07  | | |   (22)  op(e3, e0) = e3
% 185.57/30.07  | | | 
% 185.57/30.07  | | | REF_CLOSE: (1), (5), (11), (22) are inconsistent by sub-proof #1189.
% 185.57/30.07  | | | 
% 185.57/30.07  | | End of split
% 185.57/30.07  | | 
% 185.57/30.07  | End of split
% 185.57/30.07  | 
% 185.57/30.07  End of proof
% 185.57/30.07  
% 185.57/30.07  Sub-proof #671 shows that the following formulas are inconsistent:
% 185.57/30.07  ----------------------------------------------------------------
% 185.57/30.07    (1)   ~ (e2 = e0)
% 185.57/30.07    (2)  all_56_9 = e0
% 185.57/30.07    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.07    (4)  all_56_4 = e1
% 185.57/30.07    (5)  all_56_1 = e3
% 185.57/30.07    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.57/30.07         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.57/30.07    (7)   ~ (e3 = e2)
% 185.57/30.07    (8)  op(e3, e3) = e1
% 185.57/30.07    (9)   ~ (e2 = e1)
% 185.57/30.07  
% 185.57/30.07  Begin of proof
% 185.57/30.07  | 
% 185.57/30.07  | BETA: splitting (6) gives:
% 185.57/30.07  | 
% 185.57/30.07  | Case 1:
% 185.57/30.07  | | 
% 185.57/30.07  | |   (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 185.57/30.07  | |           e2)
% 185.57/30.07  | | 
% 185.57/30.07  | | REF_CLOSE: (3), (5), (7), (8), (9), (10) are inconsistent by sub-proof
% 185.57/30.07  | |            #1378.
% 185.57/30.07  | | 
% 185.57/30.07  | Case 2:
% 185.57/30.07  | | 
% 185.57/30.07  | |   (11)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 185.57/30.07  | |           e2)
% 185.57/30.07  | | 
% 185.57/30.07  | | BETA: splitting (11) gives:
% 185.57/30.07  | | 
% 185.57/30.07  | | Case 1:
% 185.57/30.07  | | | 
% 185.57/30.07  | | |   (12)  all_56_4 = e2 & op(e3, e1) = e2
% 185.57/30.07  | | | 
% 185.57/30.07  | | | ALPHA: (12) implies:
% 185.57/30.07  | | |   (13)  all_56_4 = e2
% 185.57/30.07  | | | 
% 185.57/30.07  | | | REF_CLOSE: (4), (9), (13) are inconsistent by sub-proof #877.
% 185.57/30.07  | | | 
% 185.57/30.07  | | Case 2:
% 185.57/30.07  | | | 
% 185.57/30.07  | | |   (14)  all_56_9 = e2 & op(e3, e0) = e2
% 185.57/30.07  | | | 
% 185.57/30.07  | | | ALPHA: (14) implies:
% 185.57/30.07  | | |   (15)  all_56_9 = e2
% 185.57/30.07  | | | 
% 185.57/30.07  | | | REF_CLOSE: (1), (2), (15) are inconsistent by sub-proof #1570.
% 185.57/30.07  | | | 
% 185.57/30.07  | | End of split
% 185.57/30.07  | | 
% 185.57/30.07  | End of split
% 185.57/30.07  | 
% 185.57/30.07  End of proof
% 185.57/30.07  
% 185.57/30.07  Sub-proof #672 shows that the following formulas are inconsistent:
% 185.57/30.07  ----------------------------------------------------------------
% 185.57/30.07    (1)  all_56_9 = e2
% 185.57/30.07    (2)   ~ (e1 = e0)
% 185.57/30.07    (3)   ~ (e3 = e0)
% 185.57/30.07    (4)   ~ (e2 = e0)
% 185.57/30.07    (5)   ~ (e3 = e1)
% 185.57/30.07    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.07           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.07    (7)  all_56_12 = e2
% 185.57/30.07    (8)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 185.57/30.07         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.57/30.07    (9)  op(e2, e0) = all_52_13
% 185.57/30.07    (10)   ~ (e3 = e2)
% 185.57/30.07    (11)  all_56_10 = e1
% 185.57/30.08    (12)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.57/30.08          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.57/30.08    (13)   ~ (all_52_13 = e0)
% 185.57/30.08    (14)   ~ (e2 = e1)
% 185.57/30.08    (15)  all_56_13 = e2
% 185.57/30.08    (16)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.08              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.57/30.08                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.57/30.08                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.57/30.08    (17)  all_56_14 = e0
% 185.57/30.08  
% 185.57/30.08  Begin of proof
% 185.57/30.08  | 
% 185.57/30.08  | BETA: splitting (8) gives:
% 185.57/30.08  | 
% 185.57/30.08  | Case 1:
% 185.57/30.08  | | 
% 185.57/30.08  | |   (18)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 185.57/30.08  | |           e1)
% 185.57/30.08  | | 
% 185.57/30.08  | | BETA: splitting (18) gives:
% 185.57/30.08  | | 
% 185.57/30.08  | | Case 1:
% 185.57/30.08  | | | 
% 185.57/30.08  | | |   (19)  all_56_12 = e1 & op(e0, e3) = e1
% 185.57/30.08  | | | 
% 185.57/30.08  | | | REF_CLOSE: (7), (14), (19) are inconsistent by sub-proof #1550.
% 185.57/30.08  | | | 
% 185.57/30.08  | | Case 2:
% 185.57/30.08  | | | 
% 185.57/30.08  | | |   (20)  all_56_13 = e1 & op(e0, e2) = e1
% 185.57/30.08  | | | 
% 185.57/30.08  | | | ALPHA: (20) implies:
% 185.57/30.08  | | |   (21)  all_56_13 = e1
% 185.57/30.08  | | | 
% 185.57/30.08  | | | REF_CLOSE: (14), (15), (21) are inconsistent by sub-proof #1086.
% 185.57/30.08  | | | 
% 185.57/30.08  | | End of split
% 185.57/30.08  | | 
% 185.57/30.08  | Case 2:
% 185.57/30.08  | | 
% 185.57/30.08  | |   (22)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.57/30.08  | |           e1)
% 185.57/30.08  | | 
% 185.57/30.08  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (9), (10), (11), (12), (13), (16),
% 185.57/30.08  | |            (17), (22) are inconsistent by sub-proof #673.
% 185.57/30.08  | | 
% 185.57/30.08  | End of split
% 185.57/30.08  | 
% 185.57/30.08  End of proof
% 185.57/30.08  
% 185.57/30.08  Sub-proof #673 shows that the following formulas are inconsistent:
% 185.57/30.08  ----------------------------------------------------------------
% 185.57/30.08    (1)  all_56_9 = e2
% 185.57/30.08    (2)   ~ (e1 = e0)
% 185.57/30.08    (3)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.57/30.08    (4)   ~ (e3 = e0)
% 185.57/30.08    (5)   ~ (e2 = e0)
% 185.57/30.08    (6)   ~ (e3 = e1)
% 185.57/30.08    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.08    (8)  op(e2, e0) = all_52_13
% 185.57/30.08    (9)   ~ (e3 = e2)
% 185.57/30.08    (10)  all_56_10 = e1
% 185.57/30.08    (11)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.57/30.08          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.57/30.08    (12)   ~ (all_52_13 = e0)
% 185.57/30.08    (13)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.08              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.57/30.08                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.57/30.08                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.57/30.08    (14)  all_56_14 = e0
% 185.57/30.08  
% 185.57/30.08  Begin of proof
% 185.57/30.08  | 
% 185.57/30.08  | BETA: splitting (3) gives:
% 185.57/30.08  | 
% 185.57/30.08  | Case 1:
% 185.57/30.08  | | 
% 185.57/30.08  | |   (15)  all_56_14 = e1 & op(e0, e1) = e1
% 185.57/30.08  | | 
% 185.57/30.08  | | REF_CLOSE: (2), (14), (15) are inconsistent by sub-proof #674.
% 185.57/30.08  | | 
% 185.57/30.08  | Case 2:
% 185.57/30.08  | | 
% 185.57/30.08  | |   (16)  all_56_15 = e1 & op(e0, e0) = e1
% 185.57/30.08  | | 
% 185.57/30.08  | | ALPHA: (16) implies:
% 185.57/30.08  | |   (17)  all_56_15 = e1
% 185.57/30.08  | | 
% 185.57/30.08  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 185.57/30.08  | |            (17) are inconsistent by sub-proof #904.
% 185.57/30.08  | | 
% 185.57/30.08  | End of split
% 185.57/30.08  | 
% 185.57/30.08  End of proof
% 185.57/30.08  
% 185.57/30.08  Sub-proof #674 shows that the following formulas are inconsistent:
% 185.57/30.08  ----------------------------------------------------------------
% 185.57/30.08    (1)  all_56_14 = e1 & op(e0, e1) = e1
% 185.57/30.08    (2)  all_56_14 = e0
% 185.57/30.08    (3)   ~ (e1 = e0)
% 185.57/30.08  
% 185.57/30.08  Begin of proof
% 185.57/30.08  | 
% 185.57/30.08  | ALPHA: (1) implies:
% 185.57/30.08  |   (4)  all_56_14 = e1
% 185.57/30.08  | 
% 185.57/30.08  | COMBINE_EQS: (2), (4) imply:
% 185.57/30.08  |   (5)  e1 = e0
% 185.57/30.08  | 
% 185.57/30.08  | REDUCE: (3), (5) imply:
% 185.57/30.08  |   (6)  $false
% 185.57/30.08  | 
% 185.57/30.08  | CLOSE: (6) is inconsistent.
% 185.57/30.08  | 
% 185.57/30.08  End of proof
% 185.57/30.08  
% 185.57/30.08  Sub-proof #675 shows that the following formulas are inconsistent:
% 185.57/30.08  ----------------------------------------------------------------
% 185.57/30.08    (1)   ~ (e1 = e0)
% 185.57/30.08    (2)  op(e1, e3) = all_52_2
% 185.57/30.08    (3)   ~ (e3 = e0)
% 185.57/30.08    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.08         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.08    (5)   ~ (e2 = e0)
% 185.57/30.08    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.08    (7)   ~ (all_52_6 = e2)
% 185.57/30.08    (8)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.57/30.08         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.57/30.08    (9)  all_56_6 = e3
% 185.57/30.08    (10)   ~ (e3 = e2)
% 185.57/30.08    (11)   ~ (all_40_1 = e0)
% 185.57/30.08    (12)  op(e1, e2) = all_52_6
% 185.57/30.08    (13)   ~ (e2 = e1)
% 185.57/30.08    (14)  all_56_7 = e3
% 185.57/30.08    (15)  op(e1, e3) = all_40_1
% 185.57/30.08    (16)  all_56_11 = e1
% 185.57/30.08  
% 185.57/30.08  Begin of proof
% 185.57/30.08  | 
% 185.57/30.08  | BETA: splitting (4) gives:
% 185.57/30.08  | 
% 185.57/30.08  | Case 1:
% 185.57/30.08  | | 
% 185.57/30.08  | |   (17)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 185.57/30.08  | |           e0)
% 185.57/30.08  | | 
% 185.57/30.08  | | REF_CLOSE: (2), (3), (6), (11), (14), (15), (17) are inconsistent by
% 185.57/30.08  | |            sub-proof #697.
% 185.57/30.08  | | 
% 185.57/30.08  | Case 2:
% 185.57/30.08  | | 
% 185.57/30.08  | |   (18)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.57/30.08  | |           e0)
% 185.57/30.08  | | 
% 185.57/30.08  | | REF_CLOSE: (1), (5), (6), (7), (8), (9), (10), (12), (13), (16), (18) are
% 185.57/30.08  | |            inconsistent by sub-proof #961.
% 185.57/30.08  | | 
% 185.57/30.08  | End of split
% 185.57/30.08  | 
% 185.57/30.08  End of proof
% 185.57/30.08  
% 185.57/30.08  Sub-proof #676 shows that the following formulas are inconsistent:
% 185.57/30.08  ----------------------------------------------------------------
% 185.57/30.08    (1)  all_56_6 = e2
% 185.57/30.08    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.57/30.08         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/30.08    (3)   ~ (e1 = e0)
% 185.57/30.08    (4)  op(e1, e3) = all_52_2
% 185.57/30.08    (5)   ~ (e3 = e0)
% 185.57/30.08    (6)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.08         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.08    (7)   ~ (e2 = e0)
% 185.57/30.08    (8)   ~ (e3 = e1)
% 185.57/30.08    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.08    (10)   ~ (e3 = e2)
% 185.57/30.08    (11)   ~ (all_40_1 = e0)
% 185.57/30.08    (12)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.57/30.08          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.57/30.08    (13)  op(e1, e1) = e2
% 185.57/30.08    (14)   ~ (e2 = e1)
% 185.57/30.08    (15)  all_56_7 = e3
% 185.57/30.08    (16)  op(e1, e3) = all_40_1
% 185.57/30.08  
% 185.57/30.08  Begin of proof
% 185.57/30.08  | 
% 185.57/30.08  | BETA: splitting (6) gives:
% 185.57/30.08  | 
% 185.57/30.08  | Case 1:
% 185.57/30.08  | | 
% 185.57/30.08  | |   (17)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 185.57/30.08  | |           e0)
% 185.57/30.08  | | 
% 185.57/30.08  | | REF_CLOSE: (4), (5), (9), (11), (15), (16), (17) are inconsistent by
% 185.57/30.08  | |            sub-proof #697.
% 185.57/30.08  | | 
% 185.57/30.08  | Case 2:
% 185.57/30.08  | | 
% 185.57/30.08  | |   (18)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.57/30.08  | |           e0)
% 185.57/30.08  | | 
% 185.57/30.08  | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (10), (12), (13), (14), (18)
% 185.57/30.08  | |            are inconsistent by sub-proof #696.
% 185.57/30.08  | | 
% 185.57/30.08  | End of split
% 185.57/30.08  | 
% 185.57/30.08  End of proof
% 185.57/30.08  
% 185.57/30.08  Sub-proof #677 shows that the following formulas are inconsistent:
% 185.57/30.08  ----------------------------------------------------------------
% 185.57/30.08    (1)  all_56_9 = e2
% 185.57/30.08    (2)   ~ (all_4_2 = e0)
% 185.57/30.08    (3)  all_56_10 = e2
% 185.57/30.08    (4)   ~ (e1 = e0)
% 185.57/30.08    (5)   ~ (e3 = e0)
% 185.57/30.08    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.08         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.08    (7)   ~ (e2 = e0)
% 185.57/30.08    (8)   ~ (e3 = e1)
% 185.57/30.08    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.08    (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.08          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.08    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.57/30.08          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.57/30.08    (12)   ~ (e3 = e2)
% 185.57/30.08    (13)  op(e3, e3) = e1
% 185.57/30.08    (14)  op(e3, e1) = all_52_8
% 185.57/30.08    (15)  op(e3, e3) = all_4_2
% 185.57/30.08    (16)   ~ (e2 = e1)
% 185.57/30.08    (17)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.57/30.08  
% 185.57/30.08  Begin of proof
% 185.57/30.08  | 
% 185.57/30.08  | BETA: splitting (17) gives:
% 185.57/30.08  | 
% 185.57/30.08  | Case 1:
% 185.57/30.08  | | 
% 185.57/30.08  | |   (18)  all_56_9 = e1 & op(e3, e0) = e1
% 185.57/30.08  | | 
% 185.57/30.08  | | ALPHA: (18) implies:
% 185.57/30.08  | |   (19)  all_56_9 = e1
% 185.57/30.08  | | 
% 185.57/30.08  | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 185.57/30.08  | |            (15), (16), (19) are inconsistent by sub-proof #1103.
% 185.57/30.08  | | 
% 185.57/30.08  | Case 2:
% 185.57/30.08  | | 
% 185.57/30.08  | |   (20)  all_56_10 = e1 & op(e2, e0) = e1
% 185.57/30.08  | | 
% 185.57/30.08  | | ALPHA: (20) implies:
% 185.57/30.08  | |   (21)  all_56_10 = e1
% 185.57/30.08  | | 
% 185.57/30.08  | | COMBINE_EQS: (3), (21) imply:
% 185.57/30.08  | |   (22)  e2 = e1
% 185.57/30.08  | | 
% 185.57/30.08  | | SIMP: (22) implies:
% 185.57/30.08  | |   (23)  e2 = e1
% 185.57/30.08  | | 
% 185.57/30.08  | | COMBINE_EQS: (1), (23) imply:
% 185.57/30.08  | |   (24)  all_56_9 = e1
% 185.57/30.08  | | 
% 185.57/30.08  | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13), (14),
% 185.57/30.08  | |            (15), (16), (24) are inconsistent by sub-proof #1103.
% 185.57/30.08  | | 
% 185.57/30.08  | End of split
% 185.57/30.08  | 
% 185.57/30.08  End of proof
% 185.57/30.08  
% 185.57/30.08  Sub-proof #678 shows that the following formulas are inconsistent:
% 185.57/30.08  ----------------------------------------------------------------
% 185.57/30.08    (1)  op(e0, e0) = all_6_2
% 185.57/30.08    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.57/30.08         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/30.08    (3)   ~ (all_4_2 = e0)
% 185.57/30.08    (4)   ~ (all_6_2 = e1)
% 185.57/30.08    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.57/30.08         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.57/30.08    (6)  all_56_10 = e2
% 185.57/30.08    (7)   ~ (e1 = e0)
% 185.57/30.08    (8)  op(e1, e3) = all_52_2
% 185.57/30.08    (9)   ~ (all_52_9 = e0)
% 185.57/30.08    (10)   ~ (e3 = e0)
% 185.57/30.08    (11)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.57/30.08          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.57/30.08    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.08          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.08    (13)  op(e2, e1) = all_52_9
% 185.57/30.08    (14)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.08          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.08    (15)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.57/30.08          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.57/30.08    (16)   ~ (e2 = e0)
% 185.57/30.08    (17)   ~ (e3 = e1)
% 185.57/30.08    (18)  op(e2, e3) = all_52_1
% 185.57/30.08    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.08            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.08    (20)  all_56_12 = e2
% 185.57/30.08    (21)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.57/30.08          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.08    (22)   ~ (all_52_6 = e2)
% 185.57/30.08    (23)   ~ (all_52_1 = e1)
% 185.57/30.08    (24)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.57/30.08          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.57/30.08    (25)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.08          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.08    (26)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.57/30.08          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.57/30.08    (27)  all_56_6 = e3
% 185.57/30.08    (28)   ~ (e3 = e2)
% 185.57/30.08    (29)  op(e3, e3) = e1
% 185.57/30.08    (30)  op(e3, e1) = all_52_8
% 185.57/30.08    (31)  op(e3, e3) = all_4_2
% 185.57/30.08    (32)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.57/30.08          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.57/30.08    (33)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.57/30.08          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.57/30.08    (34)   ~ (all_40_1 = e0)
% 185.57/30.08    (35)  op(e1, e2) = all_52_6
% 185.57/30.08    (36)  op(e1, e1) = e2
% 185.57/30.08    (37)   ~ (e2 = e1)
% 185.57/30.08    (38)  all_56_1 = e2
% 185.57/30.08    (39)  op(e1, e3) = all_40_1
% 185.57/30.08    (40)  op(e2, e2) = e2
% 185.57/30.08    (41)   ~ (all_52_8 = e1)
% 185.57/30.08    (42)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.57/30.08          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.57/30.08    (43)   ~ (all_52_2 = e1)
% 185.57/30.08    (44)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.57/30.08          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.57/30.08  
% 185.57/30.08  Begin of proof
% 185.57/30.08  | 
% 185.57/30.08  | BETA: splitting (11) gives:
% 185.57/30.08  | 
% 185.57/30.08  | Case 1:
% 185.57/30.08  | | 
% 185.57/30.08  | |   (45)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 185.57/30.08  | |           e1)
% 185.57/30.08  | | 
% 185.57/30.08  | | BETA: splitting (45) gives:
% 185.57/30.08  | | 
% 185.57/30.08  | | Case 1:
% 185.57/30.08  | | | 
% 185.57/30.08  | | |   (46)  all_56_9 = e1 & op(e3, e0) = e1
% 185.57/30.08  | | | 
% 185.57/30.08  | | | REF_CLOSE: (3), (7), (10), (12), (16), (17), (19), (25), (26), (28), (29),
% 185.57/30.08  | | |            (30), (31), (37), (38), (46) are inconsistent by sub-proof
% 185.57/30.08  | | |            #685.
% 185.57/30.08  | | | 
% 185.57/30.08  | | Case 2:
% 185.57/30.08  | | | 
% 185.57/30.08  | | |   (47)  all_56_10 = e1 & op(e2, e0) = e1
% 185.57/30.08  | | | 
% 185.57/30.08  | | | ALPHA: (47) implies:
% 185.57/30.08  | | |   (48)  all_56_10 = e1
% 185.57/30.08  | | | 
% 185.57/30.08  | | | COMBINE_EQS: (6), (48) imply:
% 185.57/30.08  | | |   (49)  e2 = e1
% 185.57/30.08  | | | 
% 185.57/30.08  | | | COMBINE_EQS: (38), (49) imply:
% 185.57/30.08  | | |   (50)  all_56_1 = e1
% 185.57/30.08  | | | 
% 185.57/30.08  | | | REF_CLOSE: (3), (7), (10), (12), (16), (17), (19), (25), (26), (28), (29),
% 185.57/30.08  | | |            (30), (31), (37), (50) are inconsistent by sub-proof #1186.
% 185.57/30.08  | | | 
% 185.57/30.08  | | End of split
% 185.57/30.08  | | 
% 185.57/30.08  | Case 2:
% 185.57/30.08  | | 
% 185.57/30.08  | |   (51)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.57/30.08  | |           e1)
% 185.57/30.08  | | 
% 185.57/30.08  | | BETA: splitting (51) gives:
% 185.57/30.08  | | 
% 185.57/30.08  | | Case 1:
% 185.57/30.08  | | | 
% 185.57/30.08  | | |   (52)  all_56_11 = e1 & op(e1, e0) = e1
% 185.57/30.08  | | | 
% 185.57/30.08  | | | ALPHA: (52) implies:
% 185.57/30.08  | | |   (53)  all_56_11 = e1
% 185.57/30.08  | | | 
% 185.57/30.08  | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (12), (13), (14),
% 185.57/30.08  | | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 185.57/30.08  | | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 185.57/30.08  | | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (44),
% 185.57/30.08  | | |            (53) are inconsistent by sub-proof #679.
% 185.57/30.08  | | | 
% 185.57/30.08  | | Case 2:
% 185.57/30.08  | | | 
% 185.57/30.08  | | |   (54)  all_56_15 = e1 & op(e0, e0) = e1
% 185.57/30.08  | | | 
% 185.57/30.08  | | | ALPHA: (54) implies:
% 185.57/30.08  | | |   (55)  op(e0, e0) = e1
% 185.57/30.08  | | | 
% 185.57/30.08  | | | REF_CLOSE: (1), (4), (19), (55) are inconsistent by sub-proof #1516.
% 185.57/30.08  | | | 
% 185.57/30.08  | | End of split
% 185.57/30.08  | | 
% 185.57/30.08  | End of split
% 185.57/30.08  | 
% 185.57/30.08  End of proof
% 185.57/30.08  
% 185.57/30.08  Sub-proof #679 shows that the following formulas are inconsistent:
% 185.57/30.08  ----------------------------------------------------------------
% 185.57/30.08    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.57/30.08         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.57/30.08    (2)   ~ (all_4_2 = e0)
% 185.57/30.08    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.57/30.08         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.57/30.08    (4)  all_56_10 = e2
% 185.57/30.08    (5)   ~ (e1 = e0)
% 185.57/30.08    (6)  op(e1, e3) = all_52_2
% 185.57/30.08    (7)   ~ (all_52_9 = e0)
% 185.57/30.08    (8)   ~ (e3 = e0)
% 185.57/30.08    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.08         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.08    (10)  op(e2, e1) = all_52_9
% 185.57/30.08    (11)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.57/30.08          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.57/30.08    (12)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.57/30.08          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.57/30.08    (13)   ~ (e2 = e0)
% 185.57/30.08    (14)   ~ (e3 = e1)
% 185.57/30.08    (15)  op(e2, e3) = all_52_1
% 185.57/30.08    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.08            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.08    (17)  all_56_12 = e2
% 185.57/30.08    (18)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.57/30.08          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.08    (19)   ~ (all_52_6 = e2)
% 185.57/30.08    (20)   ~ (all_52_1 = e1)
% 185.57/30.08    (21)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.57/30.08          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.57/30.08    (22)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.08          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.08    (23)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.57/30.08          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.57/30.08    (24)  all_56_6 = e3
% 185.57/30.08    (25)   ~ (e3 = e2)
% 185.57/30.08    (26)  op(e3, e3) = e1
% 185.57/30.08    (27)  op(e3, e1) = all_52_8
% 185.57/30.08    (28)  op(e3, e3) = all_4_2
% 185.57/30.08    (29)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.57/30.08          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.57/30.08    (30)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.57/30.08          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.57/30.08    (31)   ~ (all_40_1 = e0)
% 185.57/30.08    (32)  op(e1, e2) = all_52_6
% 185.57/30.08    (33)  op(e1, e1) = e2
% 185.57/30.08    (34)   ~ (e2 = e1)
% 185.57/30.08    (35)  all_56_1 = e2
% 185.57/30.08    (36)  op(e1, e3) = all_40_1
% 185.57/30.08    (37)  op(e2, e2) = e2
% 185.57/30.08    (38)   ~ (all_52_8 = e1)
% 185.57/30.08    (39)  all_56_11 = e1
% 185.57/30.08    (40)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.57/30.08          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.57/30.08    (41)   ~ (all_52_2 = e1)
% 185.57/30.08    (42)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.57/30.08          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.57/30.08  
% 185.57/30.08  Begin of proof
% 185.57/30.08  | 
% 185.57/30.08  | BETA: splitting (30) gives:
% 185.57/30.08  | 
% 185.57/30.08  | Case 1:
% 185.57/30.08  | | 
% 185.57/30.08  | |   (43)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 185.57/30.08  | |           e3)
% 185.57/30.08  | | 
% 185.57/30.08  | | REF_CLOSE: (2), (6), (8), (13), (16), (17), (25), (28), (31), (36), (37),
% 185.57/30.08  | |            (40), (43) are inconsistent by sub-proof #683.
% 185.57/30.08  | | 
% 185.57/30.08  | Case 2:
% 185.57/30.08  | | 
% 185.57/30.08  | |   (44)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.57/30.08  | |           e3)
% 185.57/30.08  | | 
% 185.57/30.08  | | BETA: splitting (44) gives:
% 185.57/30.08  | | 
% 185.57/30.08  | | Case 1:
% 185.57/30.08  | | | 
% 185.57/30.08  | | |   (45)  all_56_5 = e3 & op(e2, e1) = e3
% 185.57/30.08  | | | 
% 185.57/30.08  | | | ALPHA: (45) implies:
% 185.57/30.08  | | |   (46)  all_56_5 = e3
% 185.57/30.08  | | |   (47)  op(e2, e1) = e3
% 185.57/30.08  | | | 
% 185.57/30.08  | | | BETA: splitting (42) gives:
% 185.57/30.08  | | | 
% 185.57/30.08  | | | Case 1:
% 185.57/30.08  | | | | 
% 185.57/30.08  | | | |   (48)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1)
% 185.57/30.08  | | | |           = e1)
% 185.57/30.08  | | | | 
% 185.57/30.08  | | | | REF_CLOSE: (14), (16), (27), (38), (47), (48) are inconsistent by
% 185.57/30.08  | | | |            sub-proof #1041.
% 185.57/30.08  | | | | 
% 185.57/30.08  | | | Case 2:
% 185.57/30.08  | | | | 
% 185.57/30.08  | | | |   (49)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1)
% 185.57/30.08  | | | |           = e1)
% 185.57/30.08  | | | | 
% 185.57/30.08  | | | | BETA: splitting (49) gives:
% 185.57/30.08  | | | | 
% 185.57/30.08  | | | | Case 1:
% 185.57/30.08  | | | | | 
% 185.57/30.08  | | | | |   (50)  all_56_8 = e1 & op(e1, e1) = e1
% 185.57/30.08  | | | | | 
% 185.57/30.08  | | | | | ALPHA: (50) implies:
% 185.57/30.08  | | | | |   (51)  op(e1, e1) = e1
% 185.57/30.08  | | | | | 
% 185.57/30.08  | | | | | REF_CLOSE: (16), (33), (34), (51) are inconsistent by sub-proof #1473.
% 185.57/30.08  | | | | | 
% 185.57/30.08  | | | | Case 2:
% 185.57/30.08  | | | | | 
% 185.57/30.08  | | | | |   (52)  all_56_14 = e1 & op(e0, e1) = e1
% 185.57/30.08  | | | | | 
% 185.57/30.08  | | | | | ALPHA: (52) implies:
% 185.57/30.08  | | | | |   (53)  all_56_14 = e1
% 185.57/30.08  | | | | |   (54)  op(e0, e1) = e1
% 185.57/30.08  | | | | | 
% 185.57/30.08  | | | | | BETA: splitting (11) gives:
% 185.57/30.08  | | | | | 
% 185.57/30.08  | | | | | Case 1:
% 185.57/30.08  | | | | | | 
% 185.57/30.08  | | | | | |   (55)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1,
% 185.57/30.08  | | | | | |             e2) = e0)
% 185.57/30.08  | | | | | | 
% 185.57/30.08  | | | | | | BETA: splitting (55) gives:
% 185.57/30.08  | | | | | | 
% 185.57/30.08  | | | | | | Case 1:
% 185.57/30.08  | | | | | | | 
% 185.57/30.08  | | | | | | |   (56)  all_56_6 = e0 & op(e1, e3) = e0
% 185.57/30.08  | | | | | | | 
% 185.57/30.08  | | | | | | | ALPHA: (56) implies:
% 185.57/30.08  | | | | | | |   (57)  op(e1, e3) = e0
% 185.57/30.08  | | | | | | | 
% 185.57/30.08  | | | | | | | REF_CLOSE: (6), (16), (31), (36), (57) are inconsistent by
% 185.57/30.08  | | | | | | |            sub-proof #698.
% 185.57/30.08  | | | | | | | 
% 185.57/30.08  | | | | | | Case 2:
% 185.57/30.08  | | | | | | | 
% 185.57/30.08  | | | | | | |   (58)  all_56_7 = e0 & op(e1, e2) = e0
% 185.57/30.08  | | | | | | | 
% 185.57/30.08  | | | | | | | ALPHA: (58) implies:
% 185.57/30.08  | | | | | | |   (59)  all_56_7 = e0
% 185.57/30.08  | | | | | | | 
% 185.57/30.08  | | | | | | | BETA: splitting (18) gives:
% 185.57/30.08  | | | | | | | 
% 185.57/30.08  | | | | | | | Case 1:
% 185.57/30.08  | | | | | | | | 
% 185.57/30.08  | | | | | | | |   (60)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 &
% 185.57/30.08  | | | | | | | |           op(e2, e1) = e0)
% 185.57/30.08  | | | | | | | | 
% 185.57/30.08  | | | | | | | | BETA: splitting (60) gives:
% 185.57/30.08  | | | | | | | | 
% 185.57/30.08  | | | | | | | | Case 1:
% 185.57/30.08  | | | | | | | | | 
% 185.57/30.08  | | | | | | | | |   (61)  all_56_4 = e0 & op(e3, e1) = e0
% 185.57/30.08  | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | ALPHA: (61) implies:
% 185.57/30.08  | | | | | | | | |   (62)  all_56_4 = e0
% 185.57/30.08  | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | BETA: splitting (12) gives:
% 185.57/30.08  | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | Case 1:
% 185.57/30.08  | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | |   (63)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 &
% 185.57/30.08  | | | | | | | | | |           op(e2, e2) = e1)
% 185.57/30.08  | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | BETA: splitting (63) gives:
% 185.57/30.08  | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | Case 1:
% 185.57/30.08  | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | |   (64)  all_56_2 = e1 & op(e2, e3) = e1
% 185.57/30.08  | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | REF_CLOSE: (15), (16), (20), (64) are inconsistent by
% 185.57/30.08  | | | | | | | | | | |            sub-proof #1352.
% 185.57/30.08  | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | Case 2:
% 185.57/30.08  | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | |   (65)  all_56_3 = e1 & op(e2, e2) = e1
% 185.57/30.08  | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | BETA: splitting (1) gives:
% 185.57/30.08  | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | Case 1:
% 185.57/30.08  | | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | |   (66)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 185.57/30.08  | | | | | | | | | | | |           & op(e1, e2) = e1)
% 185.57/30.08  | | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | | REF_CLOSE: (5), (6), (16), (41), (59), (66) are inconsistent
% 185.57/30.08  | | | | | | | | | | | |            by sub-proof #682.
% 185.57/30.08  | | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | Case 2:
% 185.57/30.08  | | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | |   (67)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 185.57/30.08  | | | | | | | | | | | |           e1 & op(e1, e0) = e1)
% 185.57/30.08  | | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | | BETA: splitting (67) gives:
% 185.57/30.08  | | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | | Case 1:
% 185.57/30.08  | | | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | | |   (68)  all_56_8 = e1 & op(e1, e1) = e1
% 185.57/30.08  | | | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | | | ALPHA: (68) implies:
% 185.57/30.08  | | | | | | | | | | | | |   (69)  op(e1, e1) = e1
% 185.57/30.08  | | | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | | | REF_CLOSE: (13), (16), (25), (29), (34), (46), (53), (62),
% 185.57/30.08  | | | | | | | | | | | | |            (69) are inconsistent by sub-proof #681.
% 185.57/30.08  | | | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | | Case 2:
% 185.57/30.08  | | | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | | | ALPHA: (65) implies:
% 185.57/30.08  | | | | | | | | | | | | |   (70)  op(e2, e2) = e1
% 185.57/30.08  | | | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | | | GROUND_INST: instantiating (16) with e1, e2, e2, e2,
% 185.57/30.08  | | | | | | | | | | | | |              simplifying with (37), (70) gives:
% 185.57/30.08  | | | | | | | | | | | | |   (71)  e2 = e1
% 185.57/30.08  | | | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | | | COMBINE_EQS: (35), (71) imply:
% 185.57/30.08  | | | | | | | | | | | | |   (72)  all_56_1 = e1
% 185.57/30.08  | | | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (9), (13), (14), (16), (22), (23),
% 185.57/30.08  | | | | | | | | | | | | |            (25), (26), (27), (28), (34), (72) are
% 185.57/30.08  | | | | | | | | | | | | |            inconsistent by sub-proof #1186.
% 185.57/30.08  | | | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | | End of split
% 185.57/30.08  | | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | End of split
% 185.57/30.08  | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | End of split
% 185.57/30.08  | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | Case 2:
% 185.57/30.08  | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | |   (73)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1
% 185.57/30.08  | | | | | | | | | |           & op(e2, e0) = e1)
% 185.57/30.08  | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | BETA: splitting (73) gives:
% 185.57/30.08  | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | Case 1:
% 185.57/30.08  | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | |   (74)  all_56_5 = e1 & op(e2, e1) = e1
% 185.57/30.08  | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | ALPHA: (74) implies:
% 185.57/30.08  | | | | | | | | | | |   (75)  op(e2, e1) = e1
% 185.57/30.08  | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | REF_CLOSE: (3), (8), (14), (16), (25), (33), (53), (62), (75)
% 185.57/30.08  | | | | | | | | | | |            are inconsistent by sub-proof #906.
% 185.57/30.08  | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | Case 2:
% 185.57/30.08  | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | |   (76)  all_56_10 = e1 & op(e2, e0) = e1
% 185.57/30.08  | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (8), (9), (13), (14), (16), (22),
% 185.57/30.08  | | | | | | | | | | |            (23), (25), (26), (27), (28), (34), (35), (76) are
% 185.57/30.08  | | | | | | | | | | |            inconsistent by sub-proof #680.
% 185.57/30.08  | | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | | End of split
% 185.57/30.08  | | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | End of split
% 185.57/30.08  | | | | | | | | | 
% 185.57/30.08  | | | | | | | | Case 2:
% 185.57/30.08  | | | | | | | | | 
% 185.57/30.08  | | | | | | | | |   (77)  all_56_5 = e0 & op(e2, e1) = e0
% 185.57/30.08  | | | | | | | | | 
% 185.57/30.08  | | | | | | | | | REF_CLOSE: (7), (10), (16), (77) are inconsistent by sub-proof
% 185.57/30.08  | | | | | | | | |            #1476.
% 185.57/30.08  | | | | | | | | | 
% 185.57/30.08  | | | | | | | | End of split
% 185.57/30.08  | | | | | | | | 
% 185.57/30.08  | | | | | | | Case 2:
% 185.57/30.08  | | | | | | | | 
% 185.57/30.08  | | | | | | | |   (78)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 &
% 185.57/30.08  | | | | | | | |           op(e0, e1) = e0)
% 185.57/30.08  | | | | | | | | 
% 185.57/30.08  | | | | | | | | REF_CLOSE: (5), (13), (16), (19), (21), (24), (25), (32), (34),
% 185.57/30.08  | | | | | | | |            (39), (54), (78) are inconsistent by sub-proof #688.
% 185.57/30.08  | | | | | | | | 
% 185.57/30.08  | | | | | | | End of split
% 185.57/30.08  | | | | | | | 
% 185.57/30.08  | | | | | | End of split
% 185.57/30.08  | | | | | | 
% 185.57/30.08  | | | | | Case 2:
% 185.57/30.08  | | | | | | 
% 185.57/30.08  | | | | | |   (79)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1,
% 185.57/30.08  | | | | | |             e0) = e0)
% 185.57/30.08  | | | | | | 
% 185.57/30.08  | | | | | | BETA: splitting (79) gives:
% 185.57/30.08  | | | | | | 
% 185.57/30.08  | | | | | | Case 1:
% 185.57/30.08  | | | | | | | 
% 185.57/30.08  | | | | | | |   (80)  all_56_8 = e0 & op(e1, e1) = e0
% 185.57/30.08  | | | | | | | 
% 185.57/30.08  | | | | | | | ALPHA: (80) implies:
% 185.57/30.08  | | | | | | |   (81)  op(e1, e1) = e0
% 185.57/30.08  | | | | | | | 
% 185.57/30.08  | | | | | | | REF_CLOSE: (13), (16), (19), (21), (24), (25), (32), (34), (39),
% 185.57/30.08  | | | | | | |            (81) are inconsistent by sub-proof #1228.
% 185.57/30.08  | | | | | | | 
% 185.57/30.08  | | | | | | Case 2:
% 185.57/30.08  | | | | | | | 
% 185.57/30.08  | | | | | | |   (82)  all_56_11 = e0 & op(e1, e0) = e0
% 185.57/30.08  | | | | | | | 
% 185.57/30.08  | | | | | | | ALPHA: (82) implies:
% 185.57/30.08  | | | | | | |   (83)  all_56_11 = e0
% 185.57/30.08  | | | | | | | 
% 185.57/30.08  | | | | | | | REF_CLOSE: (5), (39), (83) are inconsistent by sub-proof #736.
% 185.57/30.08  | | | | | | | 
% 185.57/30.08  | | | | | | End of split
% 185.57/30.08  | | | | | | 
% 185.57/30.08  | | | | | End of split
% 185.57/30.08  | | | | | 
% 185.57/30.08  | | | | End of split
% 185.57/30.08  | | | | 
% 185.57/30.08  | | | End of split
% 185.57/30.08  | | | 
% 185.57/30.08  | | Case 2:
% 185.57/30.08  | | | 
% 185.57/30.08  | | |   (84)  all_56_10 = e3 & op(e2, e0) = e3
% 185.57/30.08  | | | 
% 185.57/30.08  | | | REF_CLOSE: (4), (25), (84) are inconsistent by sub-proof #1331.
% 185.57/30.08  | | | 
% 185.57/30.08  | | End of split
% 185.57/30.08  | | 
% 185.57/30.08  | End of split
% 185.57/30.08  | 
% 185.57/30.08  End of proof
% 185.57/30.08  
% 185.57/30.08  Sub-proof #680 shows that the following formulas are inconsistent:
% 185.57/30.08  ----------------------------------------------------------------
% 185.57/30.08    (1)   ~ (all_4_2 = e0)
% 185.57/30.08    (2)  all_56_10 = e2
% 185.57/30.08    (3)   ~ (e1 = e0)
% 185.57/30.08    (4)   ~ (e3 = e0)
% 185.57/30.08    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.08         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.08    (6)   ~ (e2 = e0)
% 185.57/30.08    (7)   ~ (e3 = e1)
% 185.57/30.08    (8)  all_56_10 = e1 & op(e2, e0) = e1
% 185.57/30.08    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.08    (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.08          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.08    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.57/30.08          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.57/30.08    (12)   ~ (e3 = e2)
% 185.57/30.08    (13)  op(e3, e3) = e1
% 185.57/30.08    (14)  op(e3, e1) = all_52_8
% 185.57/30.08    (15)  op(e3, e3) = all_4_2
% 185.57/30.08    (16)   ~ (e2 = e1)
% 185.57/30.08    (17)  all_56_1 = e2
% 185.57/30.08  
% 185.57/30.08  Begin of proof
% 185.57/30.08  | 
% 185.57/30.08  | ALPHA: (8) implies:
% 185.57/30.08  |   (18)  all_56_10 = e1
% 185.57/30.08  | 
% 185.57/30.08  | COMBINE_EQS: (2), (18) imply:
% 185.57/30.08  |   (19)  e2 = e1
% 185.57/30.08  | 
% 185.57/30.08  | SIMP: (19) implies:
% 185.57/30.08  |   (20)  e2 = e1
% 185.57/30.08  | 
% 185.57/30.08  | COMBINE_EQS: (17), (20) imply:
% 185.57/30.08  |   (21)  all_56_1 = e1
% 185.57/30.08  | 
% 185.57/30.08  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13), (14),
% 185.57/30.08  |            (15), (16), (21) are inconsistent by sub-proof #1186.
% 185.57/30.08  | 
% 185.57/30.08  End of proof
% 185.57/30.08  
% 185.57/30.08  Sub-proof #681 shows that the following formulas are inconsistent:
% 185.57/30.08  ----------------------------------------------------------------
% 185.57/30.08    (1)  all_56_5 = e3
% 185.57/30.08    (2)   ~ (e2 = e0)
% 185.57/30.08    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.08           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.08    (4)  all_56_14 = e1
% 185.57/30.08    (5)   ~ (e3 = e2)
% 185.57/30.08    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.57/30.08         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.57/30.08    (7)  all_56_4 = e0
% 185.57/30.08    (8)   ~ (e2 = e1)
% 185.57/30.09    (9)  op(e1, e1) = e1
% 185.57/30.09  
% 185.57/30.09  Begin of proof
% 185.57/30.09  | 
% 185.57/30.09  | BETA: splitting (6) gives:
% 185.57/30.09  | 
% 185.57/30.09  | Case 1:
% 185.57/30.09  | | 
% 185.57/30.09  | |   (10)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 185.57/30.09  | |           e2)
% 185.57/30.09  | | 
% 185.57/30.09  | | BETA: splitting (10) gives:
% 185.57/30.09  | | 
% 185.57/30.09  | | Case 1:
% 185.57/30.09  | | | 
% 185.57/30.09  | | |   (11)  all_56_4 = e2 & op(e3, e1) = e2
% 185.57/30.09  | | | 
% 185.57/30.09  | | | ALPHA: (11) implies:
% 185.57/30.09  | | |   (12)  all_56_4 = e2
% 185.57/30.09  | | | 
% 185.57/30.09  | | | REF_CLOSE: (2), (7), (12) are inconsistent by sub-proof #1394.
% 185.57/30.09  | | | 
% 185.57/30.09  | | Case 2:
% 185.57/30.09  | | | 
% 185.57/30.09  | | |   (13)  all_56_5 = e2 & op(e2, e1) = e2
% 185.57/30.09  | | | 
% 185.57/30.09  | | | REF_CLOSE: (1), (5), (13) are inconsistent by sub-proof #1474.
% 185.57/30.09  | | | 
% 185.57/30.09  | | End of split
% 185.57/30.09  | | 
% 185.57/30.09  | Case 2:
% 185.57/30.09  | | 
% 185.57/30.09  | |   (14)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 185.57/30.09  | |           e2)
% 185.57/30.09  | | 
% 185.57/30.09  | | BETA: splitting (14) gives:
% 185.57/30.09  | | 
% 185.57/30.09  | | Case 1:
% 185.57/30.09  | | | 
% 185.57/30.09  | | |   (15)  all_56_8 = e2 & op(e1, e1) = e2
% 185.57/30.09  | | | 
% 185.57/30.09  | | | ALPHA: (15) implies:
% 185.57/30.09  | | |   (16)  op(e1, e1) = e2
% 185.57/30.09  | | | 
% 185.57/30.09  | | | REF_CLOSE: (3), (8), (9), (16) are inconsistent by sub-proof #1473.
% 185.57/30.09  | | | 
% 185.57/30.09  | | Case 2:
% 185.57/30.09  | | | 
% 185.57/30.09  | | |   (17)  all_56_14 = e2 & op(e0, e1) = e2
% 185.57/30.09  | | | 
% 185.57/30.09  | | | ALPHA: (17) implies:
% 185.57/30.09  | | |   (18)  all_56_14 = e2
% 185.57/30.09  | | | 
% 185.57/30.09  | | | REF_CLOSE: (4), (8), (18) are inconsistent by sub-proof #1118.
% 185.57/30.09  | | | 
% 185.57/30.09  | | End of split
% 185.57/30.09  | | 
% 185.57/30.09  | End of split
% 185.57/30.09  | 
% 185.57/30.09  End of proof
% 185.57/30.09  
% 185.57/30.09  Sub-proof #682 shows that the following formulas are inconsistent:
% 185.57/30.09  ----------------------------------------------------------------
% 185.57/30.09    (1)   ~ (e1 = e0)
% 185.57/30.09    (2)  op(e1, e3) = all_52_2
% 185.57/30.09    (3)  all_56_7 = e0
% 185.57/30.09    (4)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1)
% 185.57/30.09    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.09    (6)   ~ (all_52_2 = e1)
% 185.57/30.09  
% 185.57/30.09  Begin of proof
% 185.57/30.09  | 
% 185.57/30.09  | BETA: splitting (4) gives:
% 185.57/30.09  | 
% 185.57/30.09  | Case 1:
% 185.57/30.09  | | 
% 185.57/30.09  | |   (7)  all_56_6 = e1 & op(e1, e3) = e1
% 185.57/30.09  | | 
% 185.57/30.09  | | ALPHA: (7) implies:
% 185.57/30.09  | |   (8)  op(e1, e3) = e1
% 185.57/30.09  | | 
% 185.57/30.09  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1597.
% 185.57/30.09  | | 
% 185.57/30.09  | Case 2:
% 185.57/30.09  | | 
% 185.57/30.09  | |   (9)  all_56_7 = e1 & op(e1, e2) = e1
% 185.57/30.09  | | 
% 185.57/30.09  | | ALPHA: (9) implies:
% 185.57/30.09  | |   (10)  all_56_7 = e1
% 185.57/30.09  | | 
% 185.57/30.09  | | REF_CLOSE: (1), (3), (10) are inconsistent by sub-proof #888.
% 185.57/30.09  | | 
% 185.57/30.09  | End of split
% 185.57/30.09  | 
% 185.57/30.09  End of proof
% 185.57/30.09  
% 185.57/30.09  Sub-proof #683 shows that the following formulas are inconsistent:
% 185.57/30.09  ----------------------------------------------------------------
% 185.57/30.09    (1)   ~ (all_4_2 = e0)
% 185.57/30.09    (2)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 185.57/30.09    (3)  op(e1, e3) = all_52_2
% 185.57/30.09    (4)   ~ (e3 = e0)
% 185.57/30.09    (5)   ~ (e2 = e0)
% 185.57/30.09    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.09    (7)  all_56_12 = e2
% 185.57/30.09    (8)   ~ (e3 = e2)
% 185.57/30.09    (9)  op(e3, e3) = all_4_2
% 185.57/30.09    (10)   ~ (all_40_1 = e0)
% 185.57/30.09    (11)  op(e1, e3) = all_40_1
% 185.57/30.09    (12)  op(e2, e2) = e2
% 185.57/30.09    (13)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.57/30.09          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.57/30.09  
% 185.57/30.09  Begin of proof
% 185.57/30.09  | 
% 185.57/30.09  | BETA: splitting (2) gives:
% 185.57/30.09  | 
% 185.57/30.09  | Case 1:
% 185.57/30.09  | | 
% 185.57/30.09  | |   (14)  all_56_2 = e3 & op(e2, e3) = e3
% 185.57/30.09  | | 
% 185.57/30.09  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (10), (11), (13), (14) are
% 185.57/30.09  | |            inconsistent by sub-proof #684.
% 185.57/30.09  | | 
% 185.57/30.09  | Case 2:
% 185.57/30.09  | | 
% 185.57/30.09  | |   (15)  all_56_3 = e3 & op(e2, e2) = e3
% 185.57/30.09  | | 
% 185.57/30.09  | | ALPHA: (15) implies:
% 185.57/30.09  | |   (16)  op(e2, e2) = e3
% 185.57/30.09  | | 
% 185.57/30.09  | | REF_CLOSE: (6), (8), (12), (16) are inconsistent by sub-proof #1602.
% 185.57/30.09  | | 
% 185.57/30.09  | End of split
% 185.57/30.09  | 
% 185.57/30.09  End of proof
% 185.57/30.09  
% 185.57/30.09  Sub-proof #684 shows that the following formulas are inconsistent:
% 185.57/30.09  ----------------------------------------------------------------
% 185.57/30.09    (1)   ~ (all_4_2 = e0)
% 185.57/30.09    (2)  op(e1, e3) = all_52_2
% 185.57/30.09    (3)   ~ (e3 = e0)
% 185.57/30.09    (4)   ~ (e2 = e0)
% 185.57/30.09    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.09    (6)  all_56_12 = e2
% 185.57/30.09    (7)  all_56_2 = e3 & op(e2, e3) = e3
% 185.57/30.09    (8)  op(e3, e3) = all_4_2
% 185.57/30.09    (9)   ~ (all_40_1 = e0)
% 185.57/30.09    (10)  op(e1, e3) = all_40_1
% 185.57/30.09    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.57/30.09          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.57/30.09  
% 185.57/30.09  Begin of proof
% 185.57/30.09  | 
% 185.57/30.09  | ALPHA: (7) implies:
% 185.57/30.09  |   (12)  all_56_2 = e3
% 185.57/30.09  | 
% 185.57/30.09  | BETA: splitting (11) gives:
% 185.57/30.09  | 
% 185.57/30.09  | Case 1:
% 185.57/30.09  | | 
% 185.57/30.09  | |   (13)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 185.57/30.09  | |           e0)
% 185.57/30.09  | | 
% 185.57/30.09  | | REF_CLOSE: (1), (3), (5), (8), (12), (13) are inconsistent by sub-proof
% 185.57/30.09  | |            #699.
% 185.57/30.09  | | 
% 185.57/30.09  | Case 2:
% 185.57/30.09  | | 
% 185.57/30.09  | |   (14)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 185.57/30.09  | |           e0)
% 185.57/30.09  | | 
% 185.57/30.09  | | REF_CLOSE: (2), (4), (5), (6), (9), (10), (14) are inconsistent by sub-proof
% 185.57/30.09  | |            #694.
% 185.57/30.09  | | 
% 185.57/30.09  | End of split
% 185.57/30.09  | 
% 185.57/30.09  End of proof
% 185.57/30.09  
% 185.57/30.09  Sub-proof #685 shows that the following formulas are inconsistent:
% 185.57/30.09  ----------------------------------------------------------------
% 185.57/30.09    (1)   ~ (all_4_2 = e0)
% 185.57/30.09    (2)   ~ (e1 = e0)
% 185.57/30.09    (3)   ~ (e3 = e0)
% 185.57/30.09    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.09         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.09    (5)   ~ (e2 = e0)
% 185.57/30.09    (6)   ~ (e3 = e1)
% 185.57/30.09    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.09    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.09         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.57/30.09    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.57/30.09         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.57/30.09    (10)   ~ (e3 = e2)
% 185.57/30.09    (11)  op(e3, e3) = e1
% 185.57/30.09    (12)  op(e3, e1) = all_52_8
% 185.57/30.09    (13)  op(e3, e3) = all_4_2
% 185.57/30.09    (14)  all_56_9 = e1 & op(e3, e0) = e1
% 185.57/30.09    (15)   ~ (e2 = e1)
% 185.57/30.09    (16)  all_56_1 = e2
% 185.57/30.09  
% 185.57/30.09  Begin of proof
% 185.57/30.09  | 
% 185.57/30.09  | ALPHA: (14) implies:
% 185.57/30.09  |   (17)  all_56_9 = e1
% 185.57/30.09  | 
% 185.57/30.09  | BETA: splitting (4) gives:
% 185.57/30.09  | 
% 185.57/30.09  | Case 1:
% 185.57/30.09  | | 
% 185.57/30.09  | |   (18)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 185.57/30.09  | |           e0)
% 185.57/30.09  | | 
% 185.57/30.09  | | REF_CLOSE: (1), (5), (7), (13), (16), (18) are inconsistent by sub-proof
% 185.57/30.09  | |            #1104.
% 185.57/30.09  | | 
% 185.57/30.09  | Case 2:
% 185.57/30.09  | | 
% 185.57/30.09  | |   (19)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 185.57/30.09  | |           e0)
% 185.57/30.09  | | 
% 185.57/30.09  | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (15), (17),
% 185.57/30.09  | |            (19) are inconsistent by sub-proof #1374.
% 185.57/30.09  | | 
% 185.57/30.09  | End of split
% 185.57/30.09  | 
% 185.57/30.09  End of proof
% 185.57/30.09  
% 185.57/30.09  Sub-proof #686 shows that the following formulas are inconsistent:
% 185.57/30.09  ----------------------------------------------------------------
% 185.57/30.09    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 185.57/30.09    (2)   ~ (all_52_9 = e0)
% 185.57/30.09    (3)  op(e2, e1) = all_52_9
% 185.57/30.09    (4)   ~ (e2 = e0)
% 185.57/30.09    (5)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.57/30.09         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.57/30.09    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.09    (7)  op(e2, e0) = all_52_13
% 185.57/30.09    (8)  op(e3, e3) = e1
% 185.57/30.09    (9)   ~ (all_52_13 = e0)
% 185.57/30.09    (10)   ~ (e2 = e1)
% 185.57/30.09    (11)  op(e2, e2) = e2
% 185.57/30.09  
% 185.57/30.09  Begin of proof
% 185.57/30.09  | 
% 185.57/30.09  | BETA: splitting (1) gives:
% 185.57/30.09  | 
% 185.57/30.09  | Case 1:
% 185.57/30.09  | | 
% 185.57/30.09  | |   (12)  all_56_0 = e2 & op(e3, e3) = e2
% 185.57/30.09  | | 
% 185.57/30.09  | | ALPHA: (12) implies:
% 185.57/30.09  | |   (13)  op(e3, e3) = e2
% 185.57/30.09  | | 
% 185.57/30.09  | | REF_CLOSE: (6), (8), (10), (13) are inconsistent by sub-proof #1582.
% 185.57/30.09  | | 
% 185.57/30.09  | Case 2:
% 185.57/30.09  | | 
% 185.57/30.09  | |   (14)  all_56_2 = e2 & op(e2, e3) = e2
% 185.57/30.09  | | 
% 185.57/30.09  | | ALPHA: (14) implies:
% 185.57/30.09  | |   (15)  all_56_2 = e2
% 185.57/30.09  | | 
% 185.57/30.09  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (11), (15) are inconsistent by
% 185.57/30.09  | |            sub-proof #1194.
% 185.57/30.09  | | 
% 185.57/30.09  | End of split
% 185.57/30.09  | 
% 185.57/30.09  End of proof
% 185.57/30.09  
% 185.57/30.09  Sub-proof #687 shows that the following formulas are inconsistent:
% 185.57/30.09  ----------------------------------------------------------------
% 185.57/30.09    (1)  op(e0, e0) = all_6_2
% 185.57/30.09    (2)   ~ (all_4_2 = e0)
% 185.57/30.09    (3)   ~ (all_6_2 = e1)
% 185.57/30.09    (4)  all_56_10 = e2
% 185.57/30.09    (5)   ~ (e1 = e0)
% 185.57/30.09    (6)  all_56_5 = e3 & op(e2, e1) = e3
% 185.57/30.09    (7)   ~ (all_52_9 = e0)
% 185.57/30.09    (8)  all_56_4 = e2
% 185.57/30.09    (9)   ~ (e3 = e0)
% 185.57/30.09    (10)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.57/30.09          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.57/30.09    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.57/30.09          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.57/30.09    (12)  op(e2, e1) = all_52_9
% 185.57/30.09    (13)   ~ (e2 = e0)
% 185.57/30.09    (14)   ~ (e3 = e1)
% 185.57/30.09    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.57/30.09            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.57/30.09    (16)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.57/30.09          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.57/30.09    (17)   ~ (all_52_6 = e2)
% 185.57/30.09    (18)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.57/30.09          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.57/30.09    (19)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.57/30.09          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.67/30.09    (20)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.67/30.09          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.67/30.09    (21)  all_56_6 = e3
% 185.67/30.09    (22)   ~ (e3 = e2)
% 185.67/30.09    (23)  op(e3, e3) = e1
% 185.67/30.09    (24)  op(e3, e1) = all_52_8
% 185.67/30.09    (25)  op(e3, e3) = all_4_2
% 185.67/30.09    (26)  op(e1, e2) = all_52_6
% 185.67/30.09    (27)  op(e1, e1) = e2
% 185.67/30.09    (28)   ~ (e2 = e1)
% 185.67/30.09    (29)   ~ (all_52_8 = e1)
% 185.67/30.09    (30)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.67/30.09          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.67/30.09  
% 185.67/30.09  Begin of proof
% 185.67/30.09  | 
% 185.67/30.09  | ALPHA: (6) implies:
% 185.67/30.09  |   (31)  op(e2, e1) = e3
% 185.67/30.09  | 
% 185.67/30.09  | BETA: splitting (10) gives:
% 185.67/30.09  | 
% 185.67/30.09  | Case 1:
% 185.67/30.09  | | 
% 185.67/30.09  | |   (32)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 185.67/30.09  | |           e1)
% 185.67/30.09  | | 
% 185.67/30.09  | | BETA: splitting (32) gives:
% 185.67/30.09  | | 
% 185.67/30.09  | | Case 1:
% 185.67/30.09  | | | 
% 185.67/30.09  | | |   (33)  all_56_9 = e1 & op(e3, e0) = e1
% 185.67/30.09  | | | 
% 185.67/30.09  | | | ALPHA: (33) implies:
% 185.67/30.09  | | |   (34)  all_56_9 = e1
% 185.67/30.09  | | | 
% 185.67/30.09  | | | REF_CLOSE: (2), (5), (8), (9), (11), (13), (14), (15), (19), (20), (22),
% 185.67/30.09  | | |            (23), (24), (25), (28), (34) are inconsistent by sub-proof
% 185.67/30.09  | | |            #1373.
% 185.67/30.09  | | | 
% 185.67/30.09  | | Case 2:
% 185.67/30.09  | | | 
% 185.67/30.09  | | |   (35)  all_56_10 = e1 & op(e2, e0) = e1
% 185.67/30.09  | | | 
% 185.67/30.09  | | | ALPHA: (35) implies:
% 185.67/30.09  | | |   (36)  all_56_10 = e1
% 185.67/30.09  | | | 
% 185.67/30.09  | | | REF_CLOSE: (4), (28), (36) are inconsistent by sub-proof #1064.
% 185.67/30.09  | | | 
% 185.67/30.09  | | End of split
% 185.67/30.09  | | 
% 185.67/30.09  | Case 2:
% 185.67/30.09  | | 
% 185.67/30.09  | |   (37)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.67/30.09  | |           e1)
% 185.67/30.09  | | 
% 185.67/30.09  | | BETA: splitting (37) gives:
% 185.67/30.09  | | 
% 185.67/30.09  | | Case 1:
% 185.67/30.09  | | | 
% 185.67/30.09  | | |   (38)  all_56_11 = e1 & op(e1, e0) = e1
% 185.67/30.09  | | | 
% 185.67/30.09  | | | ALPHA: (38) implies:
% 185.67/30.09  | | |   (39)  all_56_11 = e1
% 185.67/30.09  | | | 
% 185.67/30.09  | | | BETA: splitting (30) gives:
% 185.67/30.09  | | | 
% 185.67/30.09  | | | Case 1:
% 185.67/30.09  | | | | 
% 185.67/30.09  | | | |   (40)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1)
% 185.67/30.09  | | | |           = e1)
% 185.67/30.09  | | | | 
% 185.67/30.09  | | | | REF_CLOSE: (14), (15), (24), (29), (31), (40) are inconsistent by
% 185.67/30.09  | | | |            sub-proof #1041.
% 185.67/30.09  | | | | 
% 185.67/30.09  | | | Case 2:
% 185.67/30.09  | | | | 
% 185.67/30.09  | | | |   (41)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1)
% 185.67/30.09  | | | |           = e1)
% 185.67/30.09  | | | | 
% 185.67/30.09  | | | | BETA: splitting (41) gives:
% 185.67/30.09  | | | | 
% 185.67/30.09  | | | | Case 1:
% 185.67/30.09  | | | | | 
% 185.67/30.09  | | | | |   (42)  all_56_8 = e1 & op(e1, e1) = e1
% 185.67/30.09  | | | | | 
% 185.67/30.09  | | | | | ALPHA: (42) implies:
% 185.67/30.09  | | | | |   (43)  op(e1, e1) = e1
% 185.67/30.09  | | | | | 
% 185.67/30.09  | | | | | REF_CLOSE: (15), (27), (28), (43) are inconsistent by sub-proof #1473.
% 185.67/30.09  | | | | | 
% 185.67/30.09  | | | | Case 2:
% 185.67/30.09  | | | | | 
% 185.67/30.09  | | | | |   (44)  all_56_14 = e1 & op(e0, e1) = e1
% 185.67/30.09  | | | | | 
% 185.67/30.09  | | | | | ALPHA: (44) implies:
% 185.67/30.09  | | | | |   (45)  op(e0, e1) = e1
% 185.67/30.09  | | | | | 
% 185.67/30.09  | | | | | BETA: splitting (16) gives:
% 185.67/30.09  | | | | | 
% 185.67/30.09  | | | | | Case 1:
% 185.67/30.09  | | | | | | 
% 185.67/30.09  | | | | | |   (46)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2,
% 185.67/30.09  | | | | | |             e1) = e0)
% 185.67/30.09  | | | | | | 
% 185.67/30.09  | | | | | | BETA: splitting (46) gives:
% 185.67/30.09  | | | | | | 
% 185.67/30.09  | | | | | | Case 1:
% 185.67/30.09  | | | | | | | 
% 185.67/30.09  | | | | | | |   (47)  all_56_4 = e0 & op(e3, e1) = e0
% 185.67/30.09  | | | | | | | 
% 185.67/30.09  | | | | | | | REF_CLOSE: (8), (13), (47) are inconsistent by sub-proof #1190.
% 185.67/30.09  | | | | | | | 
% 185.67/30.09  | | | | | | Case 2:
% 185.67/30.09  | | | | | | | 
% 185.67/30.09  | | | | | | |   (48)  all_56_5 = e0 & op(e2, e1) = e0
% 185.67/30.09  | | | | | | | 
% 185.67/30.09  | | | | | | | REF_CLOSE: (7), (12), (15), (48) are inconsistent by sub-proof
% 185.67/30.09  | | | | | | |            #1476.
% 185.67/30.09  | | | | | | | 
% 185.67/30.09  | | | | | | End of split
% 185.67/30.09  | | | | | | 
% 185.67/30.09  | | | | | Case 2:
% 185.67/30.09  | | | | | | 
% 185.67/30.09  | | | | | |   (49)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0,
% 185.67/30.09  | | | | | |             e1) = e0)
% 185.67/30.09  | | | | | | 
% 185.67/30.09  | | | | | | REF_CLOSE: (5), (13), (15), (17), (18), (21), (22), (26), (28),
% 185.67/30.09  | | | | | |            (39), (45), (49) are inconsistent by sub-proof #688.
% 185.67/30.09  | | | | | | 
% 185.67/30.09  | | | | | End of split
% 185.67/30.09  | | | | | 
% 185.67/30.09  | | | | End of split
% 185.67/30.09  | | | | 
% 185.67/30.09  | | | End of split
% 185.67/30.09  | | | 
% 185.67/30.09  | | Case 2:
% 185.67/30.09  | | | 
% 185.67/30.09  | | |   (50)  all_56_15 = e1 & op(e0, e0) = e1
% 185.67/30.09  | | | 
% 185.67/30.09  | | | ALPHA: (50) implies:
% 185.67/30.09  | | |   (51)  op(e0, e0) = e1
% 185.67/30.09  | | | 
% 185.67/30.09  | | | REF_CLOSE: (1), (3), (15), (51) are inconsistent by sub-proof #1516.
% 185.67/30.09  | | | 
% 185.67/30.09  | | End of split
% 185.67/30.09  | | 
% 185.67/30.09  | End of split
% 185.67/30.09  | 
% 185.67/30.09  End of proof
% 185.67/30.09  
% 185.67/30.09  Sub-proof #688 shows that the following formulas are inconsistent:
% 185.67/30.09  ----------------------------------------------------------------
% 185.67/30.09    (1)   ~ (e1 = e0)
% 185.67/30.09    (2)   ~ (e2 = e0)
% 185.67/30.09    (3)  op(e0, e1) = e1
% 185.67/30.09    (4)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.67/30.09    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.67/30.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.67/30.09    (6)   ~ (all_52_6 = e2)
% 185.67/30.09    (7)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.67/30.09         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.67/30.09    (8)  all_56_6 = e3
% 185.67/30.09    (9)   ~ (e3 = e2)
% 185.67/30.09    (10)  op(e1, e2) = all_52_6
% 185.67/30.09    (11)   ~ (e2 = e1)
% 185.67/30.09    (12)  all_56_11 = e1
% 185.67/30.09  
% 185.67/30.09  Begin of proof
% 185.67/30.09  | 
% 185.67/30.09  | BETA: splitting (4) gives:
% 185.67/30.09  | 
% 185.67/30.09  | Case 1:
% 185.67/30.09  | | 
% 185.67/30.09  | |   (13)  all_56_8 = e0 & op(e1, e1) = e0
% 185.67/30.09  | | 
% 185.67/30.09  | | ALPHA: (13) implies:
% 185.67/30.09  | |   (14)  op(e1, e1) = e0
% 185.67/30.09  | | 
% 185.67/30.09  | | REF_CLOSE: (2), (5), (6), (7), (8), (9), (10), (11), (12), (14) are
% 185.67/30.09  | |            inconsistent by sub-proof #1228.
% 185.67/30.09  | | 
% 185.67/30.09  | Case 2:
% 185.67/30.09  | | 
% 185.67/30.09  | |   (15)  all_56_14 = e0 & op(e0, e1) = e0
% 185.67/30.09  | | 
% 185.67/30.09  | | ALPHA: (15) implies:
% 185.67/30.09  | |   (16)  op(e0, e1) = e0
% 185.67/30.09  | | 
% 185.67/30.09  | | REF_CLOSE: (1), (3), (5), (16) are inconsistent by sub-proof #1171.
% 185.67/30.09  | | 
% 185.67/30.09  | End of split
% 185.67/30.09  | 
% 185.67/30.09  End of proof
% 185.67/30.09  
% 185.67/30.09  Sub-proof #689 shows that the following formulas are inconsistent:
% 185.67/30.09  ----------------------------------------------------------------
% 185.67/30.09    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.67/30.09         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.67/30.09    (2)   ~ (all_4_2 = e0)
% 185.67/30.09    (3)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 185.67/30.09    (4)   ~ (e1 = e0)
% 185.67/30.09    (5)  op(e1, e3) = all_52_2
% 185.67/30.09    (6)   ~ (e3 = e0)
% 185.67/30.09    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.67/30.09         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.67/30.09    (8)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.67/30.09         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.67/30.09    (9)   ~ (e2 = e0)
% 185.67/30.09    (10)   ~ (e3 = e1)
% 185.67/30.09    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.67/30.09            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.67/30.09    (12)   ~ (e3 = e2)
% 185.67/30.09    (13)  op(e3, e3) = e1
% 185.67/30.09    (14)  op(e3, e3) = all_4_2
% 185.67/30.09    (15)   ~ (all_40_1 = e0)
% 185.67/30.09    (16)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.67/30.09          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.67/30.09    (17)  op(e1, e1) = e2
% 185.67/30.09    (18)   ~ (e2 = e1)
% 185.67/30.09    (19)  op(e1, e3) = all_40_1
% 185.67/30.09    (20)  op(e2, e2) = e2
% 185.67/30.09    (21)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.67/30.09          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.67/30.09  
% 185.67/30.09  Begin of proof
% 185.67/30.09  | 
% 185.67/30.09  | BETA: splitting (3) gives:
% 185.67/30.09  | 
% 185.67/30.09  | Case 1:
% 185.67/30.09  | | 
% 185.67/30.09  | |   (22)  all_56_2 = e3 & op(e2, e3) = e3
% 185.67/30.09  | | 
% 185.67/30.09  | | ALPHA: (22) implies:
% 185.67/30.09  | |   (23)  all_56_2 = e3
% 185.67/30.09  | | 
% 185.67/30.09  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 185.67/30.09  | |            (14), (15), (16), (17), (18), (19), (21), (23) are inconsistent
% 185.67/30.09  | |            by sub-proof #693.
% 185.67/30.09  | | 
% 185.67/30.09  | Case 2:
% 185.67/30.09  | | 
% 185.67/30.09  | |   (24)  all_56_3 = e3 & op(e2, e2) = e3
% 185.67/30.09  | | 
% 185.67/30.09  | | ALPHA: (24) implies:
% 185.67/30.09  | |   (25)  op(e2, e2) = e3
% 185.67/30.09  | | 
% 185.67/30.09  | | REF_CLOSE: (11), (12), (20), (25) are inconsistent by sub-proof #1602.
% 185.67/30.09  | | 
% 185.67/30.09  | End of split
% 185.67/30.09  | 
% 185.67/30.09  End of proof
% 185.67/30.09  
% 185.67/30.09  Sub-proof #690 shows that the following formulas are inconsistent:
% 185.67/30.09  ----------------------------------------------------------------
% 185.67/30.09    (1)  op(e0, e2) = e2
% 185.67/30.09    (2)   ~ (all_52_4 = all_52_7)
% 185.67/30.09    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.67/30.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.67/30.09    (4)  op(e3, e3) = e1
% 185.67/30.09    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 185.67/30.09    (6)  op(e3, e2) = all_52_4
% 185.67/30.09    (7)   ~ (e2 = e1)
% 185.67/30.09    (8)  op(e0, e2) = all_52_7
% 185.67/30.09  
% 185.67/30.09  Begin of proof
% 185.67/30.09  | 
% 185.67/30.09  | BETA: splitting (5) gives:
% 185.67/30.09  | 
% 185.67/30.09  | Case 1:
% 185.67/30.09  | | 
% 185.67/30.09  | |   (9)  all_56_0 = e2 & op(e3, e3) = e2
% 185.67/30.09  | | 
% 185.67/30.09  | | ALPHA: (9) implies:
% 185.67/30.09  | |   (10)  op(e3, e3) = e2
% 185.67/30.09  | | 
% 185.67/30.09  | | REF_CLOSE: (3), (4), (7), (10) are inconsistent by sub-proof #1582.
% 185.67/30.09  | | 
% 185.67/30.09  | Case 2:
% 185.67/30.09  | | 
% 185.67/30.09  | |   (11)  all_56_1 = e2 & op(e3, e2) = e2
% 185.67/30.09  | | 
% 185.67/30.09  | | ALPHA: (11) implies:
% 185.67/30.09  | |   (12)  op(e3, e2) = e2
% 185.67/30.09  | | 
% 185.67/30.09  | | REF_CLOSE: (1), (2), (3), (6), (8), (12) are inconsistent by sub-proof
% 185.67/30.09  | |            #1342.
% 185.67/30.09  | | 
% 185.67/30.09  | End of split
% 185.67/30.09  | 
% 185.67/30.09  End of proof
% 185.67/30.09  
% 185.67/30.09  Sub-proof #691 shows that the following formulas are inconsistent:
% 185.67/30.09  ----------------------------------------------------------------
% 185.67/30.09    (1)   ~ (all_4_2 = e0)
% 185.67/30.09    (2)  op(e1, e3) = all_52_2
% 185.67/30.09    (3)   ~ (e2 = e0)
% 185.67/30.09    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.67/30.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.67/30.09    (5)  all_56_12 = e2
% 185.67/30.09    (6)  op(e3, e3) = all_4_2
% 185.67/30.09    (7)   ~ (all_40_1 = e0)
% 185.67/30.09    (8)  all_56_2 = e2 & op(e2, e3) = e2
% 185.67/30.09    (9)  op(e1, e3) = all_40_1
% 185.67/30.09    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.67/30.09          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.67/30.09  
% 185.67/30.09  Begin of proof
% 185.67/30.09  | 
% 185.67/30.09  | ALPHA: (8) implies:
% 185.67/30.09  |   (11)  all_56_2 = e2
% 185.67/30.09  | 
% 185.67/30.09  | BETA: splitting (10) gives:
% 185.67/30.09  | 
% 185.67/30.09  | Case 1:
% 185.67/30.09  | | 
% 185.67/30.09  | |   (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 185.67/30.09  | |           e0)
% 185.67/30.09  | | 
% 185.67/30.09  | | BETA: splitting (12) gives:
% 185.67/30.09  | | 
% 185.67/30.09  | | Case 1:
% 185.67/30.09  | | | 
% 185.67/30.09  | | |   (13)  all_56_0 = e0 & op(e3, e3) = e0
% 185.67/30.09  | | | 
% 185.67/30.09  | | | ALPHA: (13) implies:
% 185.67/30.09  | | |   (14)  op(e3, e3) = e0
% 185.67/30.09  | | | 
% 185.67/30.09  | | | REF_CLOSE: (1), (4), (6), (14) are inconsistent by sub-proof #1624.
% 185.67/30.09  | | | 
% 185.67/30.09  | | Case 2:
% 185.67/30.09  | | | 
% 185.67/30.09  | | |   (15)  all_56_2 = e0 & op(e2, e3) = e0
% 185.67/30.09  | | | 
% 185.67/30.09  | | | ALPHA: (15) implies:
% 185.67/30.09  | | |   (16)  all_56_2 = e0
% 185.67/30.09  | | | 
% 185.67/30.09  | | | REF_CLOSE: (3), (11), (16) are inconsistent by sub-proof #1196.
% 185.67/30.09  | | | 
% 185.67/30.09  | | End of split
% 185.67/30.09  | | 
% 185.67/30.09  | Case 2:
% 185.67/30.09  | | 
% 185.67/30.09  | |   (17)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 185.67/30.09  | |           e0)
% 185.67/30.09  | | 
% 185.67/30.09  | | REF_CLOSE: (2), (3), (4), (5), (7), (9), (17) are inconsistent by sub-proof
% 185.67/30.09  | |            #694.
% 185.67/30.09  | | 
% 185.67/30.09  | End of split
% 185.67/30.09  | 
% 185.67/30.09  End of proof
% 185.67/30.09  
% 185.67/30.09  Sub-proof #692 shows that the following formulas are inconsistent:
% 185.67/30.09  ----------------------------------------------------------------
% 185.67/30.09    (1)  all_56_9 = e2
% 185.67/30.09    (2)   ~ (all_4_2 = e0)
% 185.67/30.09    (3)   ~ (e1 = e0)
% 185.67/30.09    (4)   ~ (e3 = e0)
% 185.67/30.09    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.67/30.09         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.67/30.09    (6)   ~ (e2 = e0)
% 185.67/30.09    (7)   ~ (e3 = e1)
% 185.67/30.09    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.67/30.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.67/30.09    (9)  all_56_1 = e3
% 185.67/30.09    (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.67/30.09          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.67/30.09    (11)   ~ (e3 = e2)
% 185.67/30.09    (12)  op(e3, e3) = e1
% 185.67/30.09    (13)  op(e3, e1) = all_52_8
% 185.67/30.09    (14)  op(e3, e3) = all_4_2
% 185.67/30.09    (15)  e3 = e1
% 185.67/30.09  
% 185.67/30.09  Begin of proof
% 185.67/30.09  | 
% 185.67/30.09  | SIMP: (15) implies:
% 185.67/30.09  |   (16)  e3 = e1
% 185.67/30.09  | 
% 185.67/30.09  | COMBINE_EQS: (9), (16) imply:
% 185.67/30.09  |   (17)  all_56_1 = e1
% 185.67/30.09  | 
% 185.67/30.09  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 185.67/30.09  |            (14), (17) are inconsistent by sub-proof #1398.
% 185.67/30.09  | 
% 185.67/30.09  End of proof
% 185.67/30.09  
% 185.67/30.09  Sub-proof #693 shows that the following formulas are inconsistent:
% 185.67/30.09  ----------------------------------------------------------------
% 185.67/30.09    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.67/30.09         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.67/30.09    (2)   ~ (all_4_2 = e0)
% 185.67/30.09    (3)   ~ (e1 = e0)
% 185.67/30.09    (4)  op(e1, e3) = all_52_2
% 185.67/30.09    (5)   ~ (e3 = e0)
% 185.67/30.09    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.67/30.09         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.67/30.09    (7)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.67/30.09         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.67/30.09    (8)   ~ (e2 = e0)
% 185.67/30.09    (9)   ~ (e3 = e1)
% 185.67/30.09    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.67/30.09            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.67/30.09    (11)   ~ (e3 = e2)
% 185.67/30.09    (12)  op(e3, e3) = e1
% 185.67/30.09    (13)  all_56_2 = e3
% 185.67/30.09    (14)  op(e3, e3) = all_4_2
% 185.67/30.09    (15)   ~ (all_40_1 = e0)
% 185.67/30.09    (16)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.67/30.09          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.67/30.09    (17)  op(e1, e1) = e2
% 185.67/30.09    (18)   ~ (e2 = e1)
% 185.67/30.09    (19)  op(e1, e3) = all_40_1
% 185.67/30.09    (20)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.67/30.09          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.67/30.09  
% 185.67/30.09  Begin of proof
% 185.67/30.09  | 
% 185.67/30.09  | BETA: splitting (6) gives:
% 185.67/30.09  | 
% 185.67/30.09  | Case 1:
% 185.67/30.09  | | 
% 185.67/30.09  | |   (21)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 185.67/30.09  | |           e2)
% 185.67/30.09  | | 
% 185.67/30.09  | | BETA: splitting (21) gives:
% 185.67/30.09  | | 
% 185.67/30.09  | | Case 1:
% 185.67/30.09  | | | 
% 185.67/30.09  | | |   (22)  all_56_0 = e2 & op(e3, e3) = e2
% 185.67/30.09  | | | 
% 185.67/30.09  | | | ALPHA: (22) implies:
% 185.67/30.09  | | |   (23)  op(e3, e3) = e2
% 185.67/30.09  | | | 
% 185.67/30.09  | | | REF_CLOSE: (10), (12), (18), (23) are inconsistent by sub-proof #1582.
% 185.67/30.09  | | | 
% 185.67/30.09  | | Case 2:
% 185.67/30.09  | | | 
% 185.67/30.09  | | |   (24)  all_56_2 = e2 & op(e2, e3) = e2
% 185.67/30.09  | | | 
% 185.67/30.09  | | | ALPHA: (24) implies:
% 185.67/30.09  | | |   (25)  all_56_2 = e2
% 185.67/30.09  | | | 
% 185.67/30.09  | | | REF_CLOSE: (11), (13), (25) are inconsistent by sub-proof #1414.
% 185.67/30.09  | | | 
% 185.67/30.09  | | End of split
% 185.67/30.09  | | 
% 185.67/30.09  | Case 2:
% 185.67/30.09  | | 
% 185.67/30.09  | |   (26)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 185.67/30.09  | |           e2)
% 185.67/30.09  | | 
% 185.67/30.09  | | BETA: splitting (26) gives:
% 185.67/30.09  | | 
% 185.67/30.09  | | Case 1:
% 185.67/30.09  | | | 
% 185.67/30.09  | | |   (27)  all_56_6 = e2 & op(e1, e3) = e2
% 185.67/30.09  | | | 
% 185.67/30.09  | | | ALPHA: (27) implies:
% 185.67/30.09  | | |   (28)  all_56_6 = e2
% 185.67/30.09  | | | 
% 185.67/30.09  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.67/30.09  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (28) are
% 185.67/30.09  | | |            inconsistent by sub-proof #695.
% 185.67/30.09  | | | 
% 185.67/30.09  | | Case 2:
% 185.67/30.09  | | | 
% 185.67/30.09  | | |   (29)  all_56_12 = e2 & op(e0, e3) = e2
% 185.67/30.09  | | | 
% 185.67/30.09  | | | ALPHA: (29) implies:
% 185.67/30.09  | | |   (30)  all_56_12 = e2
% 185.67/30.09  | | | 
% 185.67/30.09  | | | BETA: splitting (20) gives:
% 185.67/30.09  | | | 
% 185.67/30.09  | | | Case 1:
% 185.67/30.09  | | | | 
% 185.67/30.09  | | | |   (31)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3)
% 185.67/30.09  | | | |           = e0)
% 185.67/30.09  | | | | 
% 185.67/30.09  | | | | REF_CLOSE: (2), (5), (10), (13), (14), (31) are inconsistent by
% 185.67/30.09  | | | |            sub-proof #699.
% 185.67/30.09  | | | | 
% 185.67/30.09  | | | Case 2:
% 185.67/30.09  | | | | 
% 185.67/30.09  | | | |   (32)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3)
% 185.67/30.09  | | | |           = e0)
% 185.67/30.09  | | | | 
% 185.67/30.09  | | | | REF_CLOSE: (4), (8), (10), (15), (19), (30), (32) are inconsistent by
% 185.67/30.09  | | | |            sub-proof #694.
% 185.67/30.09  | | | | 
% 185.67/30.09  | | | End of split
% 185.67/30.09  | | | 
% 185.67/30.09  | | End of split
% 185.67/30.09  | | 
% 185.67/30.09  | End of split
% 185.67/30.09  | 
% 185.67/30.09  End of proof
% 185.67/30.09  
% 185.67/30.09  Sub-proof #694 shows that the following formulas are inconsistent:
% 185.67/30.09  ----------------------------------------------------------------
% 185.67/30.09    (1)  op(e1, e3) = all_52_2
% 185.67/30.09    (2)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.67/30.09    (3)   ~ (e2 = e0)
% 185.67/30.09    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.67/30.09           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.67/30.09    (5)  all_56_12 = e2
% 185.67/30.09    (6)   ~ (all_40_1 = e0)
% 185.67/30.09    (7)  op(e1, e3) = all_40_1
% 185.67/30.09  
% 185.67/30.09  Begin of proof
% 185.67/30.09  | 
% 185.67/30.09  | BETA: splitting (2) gives:
% 185.67/30.09  | 
% 185.67/30.09  | Case 1:
% 185.67/30.09  | | 
% 185.67/30.09  | |   (8)  all_56_6 = e0 & op(e1, e3) = e0
% 185.67/30.09  | | 
% 185.67/30.09  | | ALPHA: (8) implies:
% 185.67/30.09  | |   (9)  op(e1, e3) = e0
% 185.67/30.09  | | 
% 185.67/30.09  | | REF_CLOSE: (1), (4), (6), (7), (9) are inconsistent by sub-proof #698.
% 185.67/30.09  | | 
% 185.67/30.09  | Case 2:
% 185.67/30.09  | | 
% 185.67/30.09  | |   (10)  all_56_12 = e0 & op(e0, e3) = e0
% 185.67/30.09  | | 
% 185.67/30.09  | | ALPHA: (10) implies:
% 185.67/30.10  | |   (11)  all_56_12 = e0
% 185.67/30.10  | | 
% 185.67/30.10  | | REF_CLOSE: (3), (5), (11) are inconsistent by sub-proof #1548.
% 185.67/30.10  | | 
% 185.67/30.10  | End of split
% 185.67/30.10  | 
% 185.67/30.10  End of proof
% 185.67/30.10  
% 185.67/30.10  Sub-proof #695 shows that the following formulas are inconsistent:
% 185.67/30.10  ----------------------------------------------------------------
% 185.67/30.10    (1)  all_56_6 = e2
% 185.67/30.10    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.67/30.10         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.67/30.10    (3)   ~ (all_4_2 = e0)
% 185.67/30.10    (4)   ~ (e1 = e0)
% 185.67/30.10    (5)  op(e1, e3) = all_52_2
% 185.67/30.10    (6)   ~ (e3 = e0)
% 185.67/30.10    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.67/30.10         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.67/30.10    (8)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.67/30.10         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.67/30.10    (9)   ~ (e2 = e0)
% 185.67/30.10    (10)   ~ (e3 = e1)
% 185.67/30.10    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.67/30.10            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.67/30.10    (12)   ~ (e3 = e2)
% 185.67/30.10    (13)  op(e3, e3) = e1
% 185.67/30.10    (14)  all_56_2 = e3
% 185.67/30.10    (15)  op(e3, e3) = all_4_2
% 185.67/30.10    (16)   ~ (all_40_1 = e0)
% 185.67/30.10    (17)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.67/30.10          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.67/30.10    (18)  op(e1, e1) = e2
% 185.67/30.10    (19)   ~ (e2 = e1)
% 185.67/30.10    (20)  op(e1, e3) = all_40_1
% 185.67/30.10    (21)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.67/30.10          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.67/30.10  
% 185.67/30.10  Begin of proof
% 185.67/30.10  | 
% 185.67/30.10  | BETA: splitting (21) gives:
% 185.67/30.10  | 
% 185.67/30.10  | Case 1:
% 185.67/30.10  | | 
% 185.67/30.10  | |   (22)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 185.67/30.10  | |           e0)
% 185.67/30.10  | | 
% 185.67/30.10  | | REF_CLOSE: (3), (6), (11), (14), (15), (22) are inconsistent by sub-proof
% 185.67/30.10  | |            #699.
% 185.67/30.10  | | 
% 185.67/30.10  | Case 2:
% 185.67/30.10  | | 
% 185.67/30.10  | |   (23)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 185.67/30.10  | |           e0)
% 185.67/30.10  | | 
% 185.67/30.10  | | BETA: splitting (23) gives:
% 185.67/30.10  | | 
% 185.67/30.10  | | Case 1:
% 185.67/30.10  | | | 
% 185.67/30.10  | | |   (24)  all_56_6 = e0 & op(e1, e3) = e0
% 185.67/30.10  | | | 
% 185.67/30.10  | | | ALPHA: (24) implies:
% 185.67/30.10  | | |   (25)  op(e1, e3) = e0
% 185.67/30.10  | | | 
% 185.67/30.10  | | | REF_CLOSE: (5), (11), (16), (20), (25) are inconsistent by sub-proof #698.
% 185.67/30.10  | | | 
% 185.67/30.10  | | Case 2:
% 185.67/30.10  | | | 
% 185.67/30.10  | | |   (26)  all_56_12 = e0 & op(e0, e3) = e0
% 185.67/30.10  | | | 
% 185.67/30.10  | | | ALPHA: (26) implies:
% 185.67/30.10  | | |   (27)  all_56_12 = e0
% 185.67/30.10  | | | 
% 185.67/30.10  | | | BETA: splitting (17) gives:
% 185.67/30.10  | | | 
% 185.67/30.10  | | | Case 1:
% 185.67/30.10  | | | | 
% 185.67/30.10  | | | |   (28)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2)
% 185.67/30.10  | | | |           = e3)
% 185.67/30.10  | | | | 
% 185.67/30.10  | | | | BETA: splitting (28) gives:
% 185.67/30.10  | | | | 
% 185.67/30.10  | | | | Case 1:
% 185.67/30.10  | | | | | 
% 185.67/30.10  | | | | |   (29)  all_56_6 = e3 & op(e1, e3) = e3
% 185.67/30.10  | | | | | 
% 185.67/30.10  | | | | | REF_CLOSE: (1), (12), (29) are inconsistent by sub-proof #1167.
% 185.67/30.10  | | | | | 
% 185.67/30.10  | | | | Case 2:
% 185.67/30.10  | | | | | 
% 185.67/30.10  | | | | |   (30)  all_56_7 = e3 & op(e1, e2) = e3
% 185.67/30.10  | | | | | 
% 185.67/30.10  | | | | | ALPHA: (30) implies:
% 185.67/30.10  | | | | |   (31)  all_56_7 = e3
% 185.67/30.10  | | | | | 
% 185.67/30.10  | | | | | BETA: splitting (8) gives:
% 185.67/30.10  | | | | | 
% 185.67/30.10  | | | | | Case 1:
% 185.67/30.10  | | | | | | 
% 185.67/30.10  | | | | | |   (32)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1,
% 185.67/30.10  | | | | | |             e2) = e0)
% 185.67/30.10  | | | | | | 
% 185.67/30.10  | | | | | | REF_CLOSE: (5), (6), (11), (16), (20), (31), (32) are inconsistent
% 185.67/30.10  | | | | | |            by sub-proof #697.
% 185.67/30.10  | | | | | | 
% 185.67/30.10  | | | | | Case 2:
% 185.67/30.10  | | | | | | 
% 185.67/30.10  | | | | | |   (33)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1,
% 185.67/30.10  | | | | | |             e0) = e0)
% 185.67/30.10  | | | | | | 
% 185.67/30.10  | | | | | | REF_CLOSE: (1), (2), (4), (6), (9), (10), (11), (12), (17), (18),
% 185.67/30.10  | | | | | |            (19), (33) are inconsistent by sub-proof #696.
% 185.67/30.10  | | | | | | 
% 185.67/30.10  | | | | | End of split
% 185.67/30.10  | | | | | 
% 185.67/30.10  | | | | End of split
% 185.67/30.10  | | | | 
% 185.67/30.10  | | | Case 2:
% 185.67/30.10  | | | | 
% 185.67/30.10  | | | |   (34)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0)
% 185.67/30.10  | | | |           = e3)
% 185.67/30.10  | | | | 
% 185.67/30.10  | | | | BETA: splitting (34) gives:
% 185.67/30.10  | | | | 
% 185.67/30.10  | | | | Case 1:
% 185.67/30.10  | | | | | 
% 185.67/30.10  | | | | |   (35)  all_56_8 = e3 & op(e1, e1) = e3
% 185.67/30.10  | | | | | 
% 185.67/30.10  | | | | | ALPHA: (35) implies:
% 185.67/30.10  | | | | |   (36)  op(e1, e1) = e3
% 185.67/30.10  | | | | | 
% 185.67/30.10  | | | | | REF_CLOSE: (11), (12), (18), (36) are inconsistent by sub-proof #1164.
% 185.67/30.10  | | | | | 
% 185.67/30.10  | | | | Case 2:
% 185.67/30.10  | | | | | 
% 185.67/30.10  | | | | |   (37)  all_56_11 = e3 & op(e1, e0) = e3
% 185.67/30.10  | | | | | 
% 185.67/30.10  | | | | | ALPHA: (37) implies:
% 185.67/30.10  | | | | |   (38)  all_56_11 = e3
% 185.67/30.10  | | | | | 
% 185.67/30.10  | | | | | BETA: splitting (8) gives:
% 185.67/30.10  | | | | | 
% 185.67/30.10  | | | | | Case 1:
% 185.67/30.10  | | | | | | 
% 185.67/30.10  | | | | | |   (39)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1,
% 185.67/30.10  | | | | | |             e2) = e0)
% 185.67/30.10  | | | | | | 
% 185.67/30.10  | | | | | | BETA: splitting (39) gives:
% 185.67/30.10  | | | | | | 
% 185.67/30.10  | | | | | | Case 1:
% 185.67/30.10  | | | | | | | 
% 185.67/30.10  | | | | | | |   (40)  all_56_6 = e0 & op(e1, e3) = e0
% 185.67/30.10  | | | | | | | 
% 185.67/30.10  | | | | | | | ALPHA: (40) implies:
% 185.67/30.10  | | | | | | |   (41)  op(e1, e3) = e0
% 185.67/30.10  | | | | | | | 
% 185.67/30.10  | | | | | | | REF_CLOSE: (5), (11), (16), (20), (41) are inconsistent by
% 185.67/30.10  | | | | | | |            sub-proof #698.
% 185.67/30.10  | | | | | | | 
% 185.67/30.10  | | | | | | Case 2:
% 185.67/30.10  | | | | | | | 
% 185.67/30.10  | | | | | | |   (42)  all_56_7 = e0 & op(e1, e2) = e0
% 185.67/30.10  | | | | | | | 
% 185.67/30.10  | | | | | | | ALPHA: (42) implies:
% 185.67/30.10  | | | | | | |   (43)  all_56_7 = e0
% 185.67/30.10  | | | | | | | 
% 185.67/30.10  | | | | | | | BETA: splitting (2) gives:
% 185.67/30.10  | | | | | | | 
% 185.67/30.10  | | | | | | | Case 1:
% 185.67/30.10  | | | | | | | | 
% 185.67/30.10  | | | | | | | |   (44)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 &
% 185.67/30.10  | | | | | | | |           op(e1, e2) = e1)
% 185.67/30.10  | | | | | | | | 
% 185.67/30.10  | | | | | | | | BETA: splitting (44) gives:
% 185.67/30.10  | | | | | | | | 
% 185.67/30.10  | | | | | | | | Case 1:
% 185.67/30.10  | | | | | | | | | 
% 185.67/30.10  | | | | | | | | |   (45)  all_56_6 = e1 & op(e1, e3) = e1
% 185.67/30.10  | | | | | | | | | 
% 185.67/30.10  | | | | | | | | | ALPHA: (45) implies:
% 185.67/30.10  | | | | | | | | |   (46)  all_56_6 = e1
% 185.67/30.10  | | | | | | | | | 
% 185.67/30.10  | | | | | | | | | REF_CLOSE: (7), (9), (11), (12), (13), (14), (19), (27), (46)
% 185.67/30.10  | | | | | | | | |            are inconsistent by sub-proof #994.
% 185.67/30.10  | | | | | | | | | 
% 185.67/30.10  | | | | | | | | Case 2:
% 185.67/30.10  | | | | | | | | | 
% 185.67/30.10  | | | | | | | | |   (47)  all_56_7 = e1 & op(e1, e2) = e1
% 185.67/30.10  | | | | | | | | | 
% 185.67/30.10  | | | | | | | | | ALPHA: (47) implies:
% 185.67/30.10  | | | | | | | | |   (48)  all_56_7 = e1
% 185.67/30.10  | | | | | | | | | 
% 185.67/30.10  | | | | | | | | | COMBINE_EQS: (43), (48) imply:
% 185.67/30.10  | | | | | | | | |   (49)  e1 = e0
% 185.67/30.10  | | | | | | | | | 
% 185.67/30.10  | | | | | | | | | REDUCE: (4), (49) imply:
% 185.67/30.10  | | | | | | | | |   (50)  $false
% 185.67/30.10  | | | | | | | | | 
% 185.67/30.10  | | | | | | | | | CLOSE: (50) is inconsistent.
% 185.67/30.10  | | | | | | | | | 
% 185.67/30.10  | | | | | | | | End of split
% 185.67/30.10  | | | | | | | | 
% 185.67/30.10  | | | | | | | Case 2:
% 185.67/30.10  | | | | | | | | 
% 185.67/30.10  | | | | | | | |   (51)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 &
% 185.67/30.10  | | | | | | | |           op(e1, e0) = e1)
% 185.67/30.10  | | | | | | | | 
% 185.67/30.10  | | | | | | | | BETA: splitting (51) gives:
% 185.67/30.10  | | | | | | | | 
% 185.67/30.10  | | | | | | | | Case 1:
% 185.67/30.10  | | | | | | | | | 
% 185.67/30.10  | | | | | | | | |   (52)  all_56_8 = e1 & op(e1, e1) = e1
% 185.67/30.10  | | | | | | | | | 
% 185.67/30.10  | | | | | | | | | ALPHA: (52) implies:
% 185.67/30.10  | | | | | | | | |   (53)  op(e1, e1) = e1
% 185.67/30.10  | | | | | | | | | 
% 185.67/30.10  | | | | | | | | | REF_CLOSE: (11), (18), (19), (53) are inconsistent by
% 185.67/30.10  | | | | | | | | |            sub-proof #1473.
% 185.67/30.10  | | | | | | | | | 
% 185.67/30.10  | | | | | | | | Case 2:
% 185.67/30.10  | | | | | | | | | 
% 185.67/30.10  | | | | | | | | |   (54)  all_56_11 = e1 & op(e1, e0) = e1
% 185.67/30.10  | | | | | | | | | 
% 185.67/30.10  | | | | | | | | | REF_CLOSE: (10), (38), (54) are inconsistent by sub-proof
% 185.67/30.10  | | | | | | | | |            #1111.
% 185.67/30.10  | | | | | | | | | 
% 185.67/30.10  | | | | | | | | End of split
% 185.67/30.10  | | | | | | | | 
% 185.67/30.10  | | | | | | | End of split
% 185.67/30.10  | | | | | | | 
% 185.67/30.10  | | | | | | End of split
% 185.67/30.10  | | | | | | 
% 185.67/30.10  | | | | | Case 2:
% 185.67/30.10  | | | | | | 
% 185.67/30.10  | | | | | |   (55)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1,
% 185.67/30.10  | | | | | |             e0) = e0)
% 185.67/30.10  | | | | | | 
% 185.67/30.10  | | | | | | REF_CLOSE: (1), (2), (4), (6), (9), (10), (11), (12), (17), (18),
% 185.67/30.10  | | | | | |            (19), (55) are inconsistent by sub-proof #696.
% 185.67/30.10  | | | | | | 
% 185.67/30.10  | | | | | End of split
% 185.67/30.10  | | | | | 
% 185.67/30.10  | | | | End of split
% 185.67/30.10  | | | | 
% 185.67/30.10  | | | End of split
% 185.67/30.10  | | | 
% 185.67/30.10  | | End of split
% 185.67/30.10  | | 
% 185.67/30.10  | End of split
% 185.67/30.10  | 
% 185.67/30.10  End of proof
% 185.67/30.10  
% 185.67/30.10  Sub-proof #696 shows that the following formulas are inconsistent:
% 185.67/30.10  ----------------------------------------------------------------
% 185.67/30.10    (1)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.67/30.10    (2)  all_56_6 = e2
% 185.67/30.10    (3)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.67/30.10         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.67/30.10    (4)   ~ (e1 = e0)
% 185.67/30.10    (5)   ~ (e3 = e0)
% 185.67/30.10    (6)   ~ (e2 = e0)
% 185.67/30.10    (7)   ~ (e3 = e1)
% 185.67/30.10    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.67/30.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.67/30.10    (9)   ~ (e3 = e2)
% 185.67/30.10    (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.67/30.10          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.67/30.10    (11)  op(e1, e1) = e2
% 185.67/30.10    (12)   ~ (e2 = e1)
% 185.67/30.10  
% 185.67/30.10  Begin of proof
% 185.67/30.10  | 
% 185.67/30.10  | BETA: splitting (1) gives:
% 185.67/30.10  | 
% 185.67/30.10  | Case 1:
% 185.67/30.10  | | 
% 185.67/30.10  | |   (13)  all_56_8 = e0 & op(e1, e1) = e0
% 185.67/30.10  | | 
% 185.67/30.10  | | ALPHA: (13) implies:
% 185.67/30.10  | |   (14)  op(e1, e1) = e0
% 185.67/30.10  | | 
% 185.67/30.10  | | REF_CLOSE: (6), (8), (11), (14) are inconsistent by sub-proof #1230.
% 185.67/30.10  | | 
% 185.67/30.10  | Case 2:
% 185.67/30.10  | | 
% 185.67/30.10  | |   (15)  all_56_11 = e0 & op(e1, e0) = e0
% 185.67/30.10  | | 
% 185.67/30.10  | | ALPHA: (15) implies:
% 185.67/30.10  | |   (16)  all_56_11 = e0
% 185.67/30.10  | | 
% 185.67/30.10  | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (16) are
% 185.67/30.10  | |            inconsistent by sub-proof #1162.
% 185.67/30.10  | | 
% 185.67/30.10  | End of split
% 185.67/30.10  | 
% 185.67/30.10  End of proof
% 185.67/30.10  
% 185.67/30.10  Sub-proof #697 shows that the following formulas are inconsistent:
% 185.67/30.10  ----------------------------------------------------------------
% 185.67/30.10    (1)  op(e1, e3) = all_52_2
% 185.67/30.10    (2)   ~ (e3 = e0)
% 185.67/30.10    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.67/30.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.67/30.10    (4)   ~ (all_40_1 = e0)
% 185.67/30.10    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0)
% 185.67/30.10    (6)  all_56_7 = e3
% 185.67/30.10    (7)  op(e1, e3) = all_40_1
% 185.67/30.10  
% 185.67/30.10  Begin of proof
% 185.67/30.10  | 
% 185.67/30.10  | BETA: splitting (5) gives:
% 185.67/30.10  | 
% 185.67/30.10  | Case 1:
% 185.67/30.10  | | 
% 185.67/30.10  | |   (8)  all_56_6 = e0 & op(e1, e3) = e0
% 185.67/30.10  | | 
% 185.67/30.10  | | ALPHA: (8) implies:
% 185.67/30.10  | |   (9)  op(e1, e3) = e0
% 185.67/30.10  | | 
% 185.67/30.10  | | REF_CLOSE: (1), (3), (4), (7), (9) are inconsistent by sub-proof #698.
% 185.67/30.10  | | 
% 185.67/30.10  | Case 2:
% 185.67/30.10  | | 
% 185.67/30.10  | |   (10)  all_56_7 = e0 & op(e1, e2) = e0
% 185.67/30.10  | | 
% 185.67/30.10  | | ALPHA: (10) implies:
% 185.67/30.10  | |   (11)  all_56_7 = e0
% 185.67/30.10  | | 
% 185.67/30.10  | | REF_CLOSE: (2), (6), (11) are inconsistent by sub-proof #1464.
% 185.67/30.10  | | 
% 185.67/30.10  | End of split
% 185.67/30.10  | 
% 185.67/30.10  End of proof
% 185.67/30.10  
% 185.67/30.10  Sub-proof #698 shows that the following formulas are inconsistent:
% 185.67/30.10  ----------------------------------------------------------------
% 185.67/30.10    (1)  op(e1, e3) = e0
% 185.67/30.10    (2)  op(e1, e3) = all_52_2
% 185.67/30.10    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.67/30.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.67/30.10    (4)   ~ (all_40_1 = e0)
% 185.67/30.10    (5)  op(e1, e3) = all_40_1
% 185.67/30.10  
% 185.67/30.10  Begin of proof
% 185.67/30.10  | 
% 185.67/30.10  | GROUND_INST: instantiating (3) with all_52_2, e0, e3, e1, simplifying with
% 185.67/30.10  |              (1), (2) gives:
% 185.67/30.10  |   (6)  all_52_2 = e0
% 185.67/30.10  | 
% 185.67/30.10  | GROUND_INST: instantiating (3) with all_52_2, all_40_1, e3, e1, simplifying
% 185.67/30.10  |              with (2), (5) gives:
% 185.67/30.10  |   (7)  all_52_2 = all_40_1
% 185.67/30.10  | 
% 185.67/30.10  | COMBINE_EQS: (6), (7) imply:
% 185.67/30.10  |   (8)  all_40_1 = e0
% 185.67/30.10  | 
% 185.67/30.10  | SIMP: (8) implies:
% 185.67/30.10  |   (9)  all_40_1 = e0
% 185.67/30.10  | 
% 185.67/30.10  | REDUCE: (4), (9) imply:
% 185.67/30.10  |   (10)  $false
% 185.67/30.10  | 
% 185.67/30.10  | CLOSE: (10) is inconsistent.
% 185.67/30.10  | 
% 185.67/30.10  End of proof
% 185.67/30.10  
% 185.67/30.10  Sub-proof #699 shows that the following formulas are inconsistent:
% 185.67/30.10  ----------------------------------------------------------------
% 185.67/30.10    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 185.67/30.10    (2)   ~ (all_4_2 = e0)
% 185.67/30.10    (3)   ~ (e3 = e0)
% 185.67/30.10    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.67/30.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.67/30.10    (5)  all_56_2 = e3
% 185.67/30.10    (6)  op(e3, e3) = all_4_2
% 185.67/30.10  
% 185.67/30.10  Begin of proof
% 185.67/30.10  | 
% 185.67/30.10  | BETA: splitting (1) gives:
% 185.67/30.10  | 
% 185.67/30.10  | Case 1:
% 185.67/30.10  | | 
% 185.67/30.10  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 185.67/30.10  | | 
% 185.67/30.10  | | ALPHA: (7) implies:
% 185.67/30.10  | |   (8)  op(e3, e3) = e0
% 185.67/30.10  | | 
% 185.67/30.10  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1624.
% 185.67/30.10  | | 
% 185.67/30.10  | Case 2:
% 185.67/30.10  | | 
% 185.67/30.10  | |   (9)  all_56_2 = e0 & op(e2, e3) = e0
% 185.67/30.10  | | 
% 185.67/30.10  | | ALPHA: (9) implies:
% 185.67/30.10  | |   (10)  all_56_2 = e0
% 185.67/30.10  | | 
% 185.67/30.10  | | REF_CLOSE: (3), (5), (10) are inconsistent by sub-proof #700.
% 185.67/30.10  | | 
% 185.67/30.10  | End of split
% 185.67/30.10  | 
% 185.67/30.10  End of proof
% 185.67/30.10  
% 185.67/30.10  Sub-proof #700 shows that the following formulas are inconsistent:
% 185.67/30.10  ----------------------------------------------------------------
% 185.67/30.10    (1)  all_56_2 = e3
% 185.67/30.10    (2)  all_56_2 = e0
% 185.67/30.10    (3)   ~ (e3 = e0)
% 185.67/30.10  
% 185.67/30.10  Begin of proof
% 185.67/30.10  | 
% 185.67/30.10  | COMBINE_EQS: (1), (2) imply:
% 185.67/30.10  |   (4)  e3 = e0
% 185.67/30.10  | 
% 185.67/30.10  | SIMP: (4) implies:
% 185.67/30.10  |   (5)  e3 = e0
% 185.67/30.10  | 
% 185.67/30.10  | REDUCE: (3), (5) imply:
% 185.67/30.10  |   (6)  $false
% 185.67/30.10  | 
% 185.67/30.10  | CLOSE: (6) is inconsistent.
% 185.67/30.10  | 
% 185.67/30.10  End of proof
% 185.67/30.10  
% 185.67/30.10  Sub-proof #701 shows that the following formulas are inconsistent:
% 185.67/30.10  ----------------------------------------------------------------
% 185.67/30.10    (1)   ~ (all_40_0 = e2) & op(e1, e1) = all_40_0 & $i(all_40_0)
% 185.67/30.10    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.67/30.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.67/30.10    (3)  op(e1, e1) = e2
% 185.67/30.10  
% 185.67/30.10  Begin of proof
% 185.67/30.10  | 
% 185.67/30.10  | ALPHA: (1) implies:
% 185.67/30.10  |   (4)   ~ (all_40_0 = e2)
% 185.67/30.10  |   (5)  op(e1, e1) = all_40_0
% 185.67/30.10  | 
% 185.67/30.10  | GROUND_INST: instantiating (2) with e2, all_40_0, e1, e1, simplifying with
% 185.67/30.10  |              (3), (5) gives:
% 185.67/30.10  |   (6)  all_40_0 = e2
% 185.67/30.10  | 
% 185.67/30.10  | REDUCE: (4), (6) imply:
% 185.67/30.10  |   (7)  $false
% 185.67/30.10  | 
% 185.67/30.10  | CLOSE: (7) is inconsistent.
% 185.67/30.10  | 
% 185.67/30.10  End of proof
% 185.67/30.10  
% 185.67/30.10  Sub-proof #702 shows that the following formulas are inconsistent:
% 185.67/30.10  ----------------------------------------------------------------
% 185.67/30.10    (1)  op(e0, e0) = all_6_2
% 185.67/30.10    (2)   ~ (all_6_2 = e1)
% 185.67/30.10    (3)   ~ (e1 = e0)
% 185.67/30.10    (4)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.67/30.10    (5)  op(e0, e1) = e0
% 185.67/30.10    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.67/30.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.67/30.10  
% 185.67/30.10  Begin of proof
% 185.67/30.10  | 
% 185.67/30.10  | BETA: splitting (4) gives:
% 185.67/30.10  | 
% 185.67/30.10  | Case 1:
% 185.67/30.10  | | 
% 185.67/30.10  | |   (7)  all_56_14 = e1 & op(e0, e1) = e1
% 185.67/30.10  | | 
% 185.67/30.10  | | ALPHA: (7) implies:
% 185.67/30.10  | |   (8)  op(e0, e1) = e1
% 185.67/30.10  | | 
% 185.67/30.10  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1171.
% 185.67/30.10  | | 
% 185.67/30.10  | Case 2:
% 185.67/30.10  | | 
% 185.67/30.10  | |   (9)  all_56_15 = e1 & op(e0, e0) = e1
% 185.67/30.10  | | 
% 185.67/30.10  | | ALPHA: (9) implies:
% 185.68/30.10  | |   (10)  op(e0, e0) = e1
% 185.68/30.10  | | 
% 185.68/30.10  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1516.
% 185.68/30.10  | | 
% 185.68/30.10  | End of split
% 185.68/30.10  | 
% 185.68/30.10  End of proof
% 185.68/30.10  
% 185.68/30.10  Sub-proof #703 shows that the following formulas are inconsistent:
% 185.68/30.10  ----------------------------------------------------------------
% 185.68/30.10    (1)  all_56_6 = e0
% 185.68/30.10    (2)  op(e1, e3) = e0
% 185.68/30.10    (3)   ~ (e1 = e0)
% 185.68/30.10    (4)   ~ (e3 = e0)
% 185.68/30.10    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.68/30.10         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.68/30.10    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.68/30.10         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.68/30.10    (7)   ~ (e2 = e0)
% 185.68/30.10    (8)   ~ (e3 = e1)
% 185.68/30.10    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.68/30.10         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.68/30.10    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.68/30.10            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.68/30.10    (11)  all_56_12 = e0
% 185.68/30.10    (12)   ~ (e3 = e2)
% 185.68/30.10    (13)  op(e3, e3) = all_4_2
% 185.68/30.10    (14)   ~ (e2 = e1)
% 185.68/30.10    (15)  op(e0, e3) = e0
% 185.68/30.10    (16)   ~ (all_4_2 = e1)
% 185.68/30.10  
% 185.68/30.10  Begin of proof
% 185.68/30.10  | 
% 185.68/30.10  | BETA: splitting (6) gives:
% 185.68/30.10  | 
% 185.68/30.10  | Case 1:
% 185.68/30.10  | | 
% 185.68/30.10  | |   (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 185.68/30.10  | |           e1)
% 185.68/30.10  | | 
% 185.68/30.10  | | BETA: splitting (17) gives:
% 185.68/30.10  | | 
% 185.68/30.10  | | Case 1:
% 185.68/30.10  | | | 
% 185.68/30.10  | | |   (18)  all_56_0 = e1 & op(e3, e3) = e1
% 185.68/30.10  | | | 
% 185.68/30.10  | | | ALPHA: (18) implies:
% 185.68/30.10  | | |   (19)  op(e3, e3) = e1
% 185.68/30.10  | | | 
% 185.68/30.10  | | | REF_CLOSE: (10), (13), (16), (19) are inconsistent by sub-proof #1525.
% 185.68/30.10  | | | 
% 185.68/30.10  | | Case 2:
% 185.68/30.10  | | | 
% 185.68/30.10  | | |   (20)  all_56_2 = e1 & op(e2, e3) = e1
% 185.68/30.10  | | | 
% 185.68/30.10  | | | ALPHA: (20) implies:
% 185.68/30.10  | | |   (21)  all_56_2 = e1
% 185.68/30.10  | | | 
% 185.68/30.10  | | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (11), (12), (14), (21)
% 185.68/30.10  | | |            are inconsistent by sub-proof #1361.
% 185.68/30.10  | | | 
% 185.68/30.10  | | End of split
% 185.68/30.10  | | 
% 185.68/30.10  | Case 2:
% 185.68/30.10  | | 
% 185.68/30.10  | |   (22)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 185.68/30.10  | |           e1)
% 185.68/30.10  | | 
% 185.68/30.10  | | BETA: splitting (22) gives:
% 185.68/30.10  | | 
% 185.68/30.10  | | Case 1:
% 185.68/30.10  | | | 
% 185.68/30.10  | | |   (23)  all_56_6 = e1 & op(e1, e3) = e1
% 185.68/30.10  | | | 
% 185.68/30.10  | | | ALPHA: (23) implies:
% 185.68/30.10  | | |   (24)  op(e1, e3) = e1
% 185.68/30.10  | | | 
% 185.68/30.10  | | | REF_CLOSE: (2), (3), (10), (24) are inconsistent by sub-proof #1251.
% 185.68/30.10  | | | 
% 185.68/30.10  | | Case 2:
% 185.68/30.10  | | | 
% 185.68/30.10  | | |   (25)  all_56_12 = e1 & op(e0, e3) = e1
% 185.68/30.10  | | | 
% 185.68/30.10  | | | ALPHA: (25) implies:
% 185.68/30.10  | | |   (26)  op(e0, e3) = e1
% 185.68/30.10  | | | 
% 185.68/30.10  | | | REF_CLOSE: (3), (10), (15), (26) are inconsistent by sub-proof #1589.
% 185.68/30.10  | | | 
% 185.68/30.10  | | End of split
% 185.68/30.10  | | 
% 185.68/30.10  | End of split
% 185.68/30.10  | 
% 185.68/30.10  End of proof
% 185.68/30.10  
% 185.68/30.10  Sub-proof #704 shows that the following formulas are inconsistent:
% 185.68/30.10  ----------------------------------------------------------------
% 185.68/30.10    (1)   ~ (all_4_2 = e0)
% 185.68/30.10    (2)  all_56_10 = e2
% 185.68/30.10    (3)   ~ (e1 = e0)
% 185.68/30.10    (4)  op(e0, e0) = e0
% 185.68/30.10    (5)   ~ (e3 = e0)
% 185.68/30.10    (6)  op(e0, e3) = e1
% 185.68/30.10    (7)   ~ (e3 = e1)
% 185.68/30.10    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.68/30.10         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.68/30.10    (9)  op(e0, e3) = all_52_3
% 185.68/30.10    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.68/30.10            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.68/30.10    (11)  all_56_0 = e2
% 185.68/30.10    (12)   ~ (e3 = e2)
% 185.68/30.10    (13)  all_56_2 = e3
% 185.68/30.10    (14)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.68/30.10          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.68/30.10    (15)  op(e3, e0) = e0
% 185.68/30.10    (16)  op(e3, e3) = all_4_2
% 185.68/30.10    (17)  all_56_11 = e1
% 185.68/30.10    (18)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.68/30.10          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.68/30.10  
% 185.68/30.10  Begin of proof
% 185.68/30.10  | 
% 185.68/30.10  | BETA: splitting (14) gives:
% 185.68/30.10  | 
% 185.68/30.10  | Case 1:
% 185.68/30.10  | | 
% 185.68/30.10  | |   (19)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.68/30.10  | |           e3)
% 185.68/30.10  | | 
% 185.68/30.10  | | BETA: splitting (19) gives:
% 185.68/30.10  | | 
% 185.68/30.10  | | Case 1:
% 185.68/30.10  | | | 
% 185.68/30.10  | | |   (20)  all_56_9 = e3 & op(e3, e0) = e3
% 185.68/30.10  | | | 
% 185.68/30.10  | | | ALPHA: (20) implies:
% 185.68/30.10  | | |   (21)  op(e3, e0) = e3
% 185.68/30.10  | | | 
% 185.68/30.10  | | | REF_CLOSE: (5), (10), (15), (21) are inconsistent by sub-proof #1189.
% 185.68/30.10  | | | 
% 185.68/30.10  | | Case 2:
% 185.68/30.10  | | | 
% 185.68/30.10  | | |   (22)  all_56_10 = e3 & op(e2, e0) = e3
% 185.68/30.10  | | | 
% 185.68/30.10  | | | ALPHA: (22) implies:
% 185.68/30.10  | | |   (23)  all_56_10 = e3
% 185.68/30.10  | | | 
% 185.68/30.10  | | | REF_CLOSE: (2), (12), (23) are inconsistent by sub-proof #958.
% 185.68/30.10  | | | 
% 185.68/30.10  | | End of split
% 185.68/30.10  | | 
% 185.68/30.10  | Case 2:
% 185.68/30.10  | | 
% 185.68/30.10  | |   (24)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.68/30.10  | |           e3)
% 185.68/30.10  | | 
% 185.68/30.10  | | BETA: splitting (24) gives:
% 185.68/30.10  | | 
% 185.68/30.10  | | Case 1:
% 185.68/30.10  | | | 
% 185.68/30.10  | | |   (25)  all_56_11 = e3 & op(e1, e0) = e3
% 185.68/30.10  | | | 
% 185.68/30.10  | | | ALPHA: (25) implies:
% 185.68/30.10  | | |   (26)  all_56_11 = e3
% 185.68/30.10  | | | 
% 185.68/30.10  | | | COMBINE_EQS: (17), (26) imply:
% 185.68/30.10  | | |   (27)  e3 = e1
% 185.68/30.10  | | | 
% 185.68/30.10  | | | SIMP: (27) implies:
% 185.68/30.10  | | |   (28)  e3 = e1
% 185.68/30.10  | | | 
% 185.68/30.10  | | | COMBINE_EQS: (13), (28) imply:
% 185.68/30.10  | | |   (29)  all_56_2 = e1
% 185.68/30.10  | | | 
% 185.68/30.10  | | | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (10), (11), (12), (16),
% 185.68/30.10  | | |            (18), (29) are inconsistent by sub-proof #1526.
% 185.68/30.10  | | | 
% 185.68/30.10  | | Case 2:
% 185.68/30.10  | | | 
% 185.68/30.10  | | |   (30)  all_56_15 = e3 & op(e0, e0) = e3
% 185.68/30.10  | | | 
% 185.68/30.10  | | | ALPHA: (30) implies:
% 185.68/30.10  | | |   (31)  op(e0, e0) = e3
% 185.68/30.10  | | | 
% 185.68/30.10  | | | REF_CLOSE: (4), (5), (10), (31) are inconsistent by sub-proof #1540.
% 185.68/30.10  | | | 
% 185.68/30.10  | | End of split
% 185.68/30.10  | | 
% 185.68/30.10  | End of split
% 185.68/30.10  | 
% 185.68/30.10  End of proof
% 185.68/30.10  
% 185.68/30.10  Sub-proof #705 shows that the following formulas are inconsistent:
% 185.68/30.10  ----------------------------------------------------------------
% 185.68/30.10    (1)   ~ (all_4_2 = e0)
% 185.68/30.10    (2)   ~ (e1 = e0)
% 185.68/30.10    (3)  op(e0, e0) = e0
% 185.68/30.10    (4)   ~ (e3 = e0)
% 185.68/30.10    (5)  op(e0, e3) = e1
% 185.68/30.10    (6)   ~ (e3 = e1)
% 185.68/30.10    (7)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.68/30.10         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.68/30.10    (8)  op(e0, e3) = all_52_3
% 185.68/30.10    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.68/30.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.68/30.10    (10)  all_56_14 = e1
% 185.68/30.10    (11)  all_56_0 = e2
% 185.68/30.10    (12)   ~ (e3 = e2)
% 185.68/30.10    (13)  all_56_2 = e3
% 185.68/30.10    (14)  op(e3, e3) = all_4_2
% 185.68/30.10    (15)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.68/30.10          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.68/30.10            e3)
% 185.68/30.10    (16)  all_56_13 = e2
% 185.68/30.10    (17)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.68/30.10          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.68/30.10  
% 185.68/30.10  Begin of proof
% 185.68/30.10  | 
% 185.68/30.10  | BETA: splitting (15) gives:
% 185.68/30.10  | 
% 185.68/30.10  | Case 1:
% 185.68/30.10  | | 
% 185.68/30.10  | |   (18)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 185.68/30.10  | |           e3)
% 185.68/30.10  | | 
% 185.68/30.10  | | REF_CLOSE: (5), (6), (8), (9), (12), (16), (18) are inconsistent by
% 185.68/30.10  | |            sub-proof #706.
% 185.68/30.10  | | 
% 185.68/30.10  | Case 2:
% 185.68/30.10  | | 
% 185.68/30.10  | |   (19)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.68/30.10  | |           e3)
% 185.68/30.10  | | 
% 185.68/30.10  | | BETA: splitting (19) gives:
% 185.68/30.10  | | 
% 185.68/30.10  | | Case 1:
% 185.68/30.10  | | | 
% 185.68/30.10  | | |   (20)  all_56_14 = e3 & op(e0, e1) = e3
% 185.68/30.10  | | | 
% 185.68/30.10  | | | ALPHA: (20) implies:
% 185.68/30.10  | | |   (21)  all_56_14 = e3
% 185.68/30.10  | | | 
% 185.68/30.10  | | | COMBINE_EQS: (10), (21) imply:
% 185.68/30.10  | | |   (22)  e3 = e1
% 185.68/30.10  | | | 
% 185.68/30.10  | | | COMBINE_EQS: (13), (22) imply:
% 185.68/30.10  | | |   (23)  all_56_2 = e1
% 185.68/30.10  | | | 
% 185.68/30.10  | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (11), (12), (14), (17),
% 185.68/30.10  | | |            (23) are inconsistent by sub-proof #1526.
% 185.68/30.10  | | | 
% 185.68/30.10  | | Case 2:
% 185.68/30.10  | | | 
% 185.68/30.10  | | |   (24)  all_56_15 = e3 & op(e0, e0) = e3
% 185.68/30.10  | | | 
% 185.68/30.10  | | | ALPHA: (24) implies:
% 185.68/30.10  | | |   (25)  op(e0, e0) = e3
% 185.68/30.10  | | | 
% 185.68/30.10  | | | REF_CLOSE: (3), (4), (9), (25) are inconsistent by sub-proof #1540.
% 185.68/30.10  | | | 
% 185.68/30.10  | | End of split
% 185.68/30.10  | | 
% 185.68/30.10  | End of split
% 185.68/30.10  | 
% 185.68/30.10  End of proof
% 185.68/30.10  
% 185.68/30.10  Sub-proof #706 shows that the following formulas are inconsistent:
% 185.68/30.10  ----------------------------------------------------------------
% 185.68/30.10    (1)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.68/30.10    (2)  op(e0, e3) = e1
% 185.68/30.10    (3)   ~ (e3 = e1)
% 185.68/30.10    (4)  op(e0, e3) = all_52_3
% 185.68/30.10    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.68/30.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.68/30.10    (6)   ~ (e3 = e2)
% 185.68/30.10    (7)  all_56_13 = e2
% 185.68/30.10  
% 185.68/30.10  Begin of proof
% 185.68/30.10  | 
% 185.68/30.10  | BETA: splitting (1) gives:
% 185.68/30.10  | 
% 185.68/30.10  | Case 1:
% 185.68/30.10  | | 
% 185.68/30.10  | |   (8)  all_56_12 = e3 & op(e0, e3) = e3
% 185.68/30.10  | | 
% 185.68/30.10  | | ALPHA: (8) implies:
% 185.68/30.10  | |   (9)  op(e0, e3) = e3
% 185.68/30.10  | | 
% 185.68/30.10  | | REF_CLOSE: (2), (3), (4), (5), (9) are inconsistent by sub-proof #1529.
% 185.68/30.10  | | 
% 185.68/30.10  | Case 2:
% 185.68/30.10  | | 
% 185.68/30.10  | |   (10)  all_56_13 = e3 & op(e0, e2) = e3
% 185.68/30.10  | | 
% 185.68/30.10  | | REF_CLOSE: (6), (7), (10) are inconsistent by sub-proof #760.
% 185.68/30.10  | | 
% 185.68/30.10  | End of split
% 185.68/30.10  | 
% 185.68/30.10  End of proof
% 185.68/30.10  
% 185.68/30.10  Sub-proof #707 shows that the following formulas are inconsistent:
% 185.68/30.10  ----------------------------------------------------------------
% 185.68/30.10    (1)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 185.68/30.10    (2)   ~ (e1 = e0)
% 185.68/30.10    (3)  op(e2, e1) = all_52_9
% 185.68/30.10    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.68/30.10           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.68/30.10    (5)  op(e3, e1) = e0
% 185.68/30.10    (6)   ~ (all_52_9 = e1)
% 185.68/30.10  
% 185.68/30.10  Begin of proof
% 185.68/30.10  | 
% 185.68/30.10  | BETA: splitting (1) gives:
% 185.68/30.10  | 
% 185.68/30.10  | Case 1:
% 185.68/30.10  | | 
% 185.68/30.10  | |   (7)  all_56_4 = e1 & op(e3, e1) = e1
% 185.68/30.10  | | 
% 185.68/30.10  | | ALPHA: (7) implies:
% 185.68/30.10  | |   (8)  op(e3, e1) = e1
% 185.68/30.10  | | 
% 185.68/30.10  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1571.
% 185.68/30.10  | | 
% 185.68/30.10  | Case 2:
% 185.68/30.10  | | 
% 185.68/30.10  | |   (9)  all_56_5 = e1 & op(e2, e1) = e1
% 185.68/30.10  | | 
% 185.68/30.10  | | ALPHA: (9) implies:
% 185.68/30.10  | |   (10)  op(e2, e1) = e1
% 185.68/30.10  | | 
% 185.68/30.10  | | REF_CLOSE: (3), (4), (6), (10) are inconsistent by sub-proof #1610.
% 185.68/30.10  | | 
% 185.68/30.10  | End of split
% 185.68/30.10  | 
% 185.68/30.10  End of proof
% 185.68/30.10  
% 185.68/30.10  Sub-proof #708 shows that the following formulas are inconsistent:
% 185.68/30.10  ----------------------------------------------------------------
% 185.68/30.10    (1)  all_54_12 = all_52_3
% 185.68/30.10    (2)  all_54_12 = e0
% 185.68/30.10    (3)   ~ (all_52_3 = e0)
% 185.68/30.10  
% 185.68/30.10  Begin of proof
% 185.68/30.10  | 
% 185.68/30.10  | COMBINE_EQS: (1), (2) imply:
% 185.68/30.10  |   (4)  all_52_3 = e0
% 185.68/30.10  | 
% 185.68/30.10  | SIMP: (4) implies:
% 185.68/30.10  |   (5)  all_52_3 = e0
% 185.68/30.10  | 
% 185.68/30.10  | REDUCE: (3), (5) imply:
% 185.68/30.10  |   (6)  $false
% 185.68/30.10  | 
% 185.68/30.10  | CLOSE: (6) is inconsistent.
% 185.68/30.10  | 
% 185.68/30.10  End of proof
% 185.68/30.10  
% 185.68/30.10  Sub-proof #709 shows that the following formulas are inconsistent:
% 185.68/30.10  ----------------------------------------------------------------
% 185.68/30.10    (1)  all_54_12 = all_52_3
% 185.68/30.10    (2)  all_54_12 = e2
% 185.68/30.10    (3)   ~ (all_52_3 = e2)
% 185.68/30.10  
% 185.68/30.10  Begin of proof
% 185.68/30.10  | 
% 185.68/30.10  | COMBINE_EQS: (1), (2) imply:
% 185.68/30.10  |   (4)  all_52_3 = e2
% 185.68/30.10  | 
% 185.68/30.10  | SIMP: (4) implies:
% 185.68/30.10  |   (5)  all_52_3 = e2
% 185.68/30.10  | 
% 185.68/30.10  | REDUCE: (3), (5) imply:
% 185.68/30.10  |   (6)  $false
% 185.68/30.10  | 
% 185.68/30.10  | CLOSE: (6) is inconsistent.
% 185.68/30.10  | 
% 185.68/30.10  End of proof
% 185.68/30.10  
% 185.68/30.10  Sub-proof #710 shows that the following formulas are inconsistent:
% 185.68/30.10  ----------------------------------------------------------------
% 185.69/30.10    (1)  op(e0, e0) = all_6_2
% 185.69/30.10    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.69/30.10         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.69/30.10    (3)   ~ (all_4_2 = e0)
% 185.69/30.10    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.10         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.69/30.10    (5)   ~ (all_6_2 = e1)
% 185.69/30.10    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.69/30.10         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.69/30.10    (7)  all_56_10 = e2
% 185.69/30.10    (8)   ~ (e1 = e0)
% 185.69/30.10    (9)   ~ (e3 = e0)
% 185.69/30.11    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.69/30.11          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.11    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.69/30.11          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.69/30.11    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.69/30.11          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.69/30.11    (13)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.69/30.11          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.69/30.11    (14)   ~ (e2 = e0)
% 185.69/30.11    (15)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.11          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.69/30.11    (16)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.11          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.69/30.11    (17)   ~ (e3 = e1)
% 185.69/30.11    (18)  op(e3, e3) = e2
% 185.69/30.11    (19)   ~ (all_6_2 = e2)
% 185.69/30.11    (20)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.69/30.11          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.69/30.11    (21)  all_56_12 = e2 & op(e0, e3) = e2
% 185.69/30.11    (22)  op(e2, e3) = all_52_1
% 185.69/30.11    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.11            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.11    (24)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.69/30.11          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.11    (25)   ~ (all_52_6 = e2)
% 185.69/30.11    (26)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.69/30.11          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.69/30.11    (27)   ~ (all_52_1 = e1)
% 185.69/30.11    (28)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.11          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.69/30.11    (29)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.69/30.11          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.69/30.11    (30)  op(e2, e2) = e1
% 185.69/30.11    (31)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.69/30.11          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.69/30.11    (32)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.69/30.11          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.69/30.11            e1)
% 185.69/30.11    (33)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.11          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.69/30.11    (34)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.69/30.11          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.69/30.11    (35)   ~ (e3 = e2)
% 185.69/30.11    (36)  op(e3, e1) = all_52_8
% 185.69/30.11    (37)  op(e3, e3) = all_4_2
% 185.69/30.11    (38)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.11          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.69/30.11    (39)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.69/30.11          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.69/30.11    (40)  op(e1, e2) = all_52_6
% 185.69/30.11    (41)  op(e1, e1) = e2
% 185.69/30.11    (42)   ~ (e2 = e1)
% 185.69/30.11    (43)   ~ (all_4_2 = e1)
% 185.69/30.11    (44)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.69/30.11          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.69/30.11    (45)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.69/30.11          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.69/30.11  
% 185.69/30.11  Begin of proof
% 185.69/30.11  | 
% 185.69/30.11  | ALPHA: (21) implies:
% 185.69/30.11  |   (46)  all_56_12 = e2
% 185.69/30.11  | 
% 185.69/30.11  | BETA: splitting (12) gives:
% 185.69/30.11  | 
% 185.69/30.11  | Case 1:
% 185.69/30.11  | | 
% 185.69/30.11  | |   (47)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 185.69/30.11  | |           e1)
% 185.69/30.11  | | 
% 185.69/30.11  | | REF_CLOSE: (18), (22), (23), (27), (42), (47) are inconsistent by sub-proof
% 185.69/30.11  | |            #711.
% 185.69/30.11  | | 
% 185.69/30.11  | Case 2:
% 185.69/30.11  | | 
% 185.69/30.11  | |   (48)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 185.69/30.11  | |           e1)
% 185.69/30.11  | | 
% 185.69/30.11  | | BETA: splitting (48) gives:
% 185.69/30.11  | | 
% 185.69/30.11  | | Case 1:
% 185.69/30.11  | | | 
% 185.69/30.11  | | |   (49)  all_56_6 = e1 & op(e1, e3) = e1
% 185.69/30.11  | | | 
% 185.69/30.11  | | | ALPHA: (49) implies:
% 185.69/30.11  | | |   (50)  all_56_6 = e1
% 185.69/30.11  | | | 
% 185.69/30.11  | | | REF_CLOSE: (3), (8), (9), (12), (14), (17), (18), (20), (23), (35), (37),
% 185.69/30.11  | | |            (42), (44), (46), (50) are inconsistent by sub-proof #1545.
% 185.69/30.11  | | | 
% 185.69/30.11  | | Case 2:
% 185.69/30.11  | | | 
% 185.69/30.11  | | |   (51)  all_56_12 = e1 & op(e0, e3) = e1
% 185.69/30.11  | | | 
% 185.69/30.11  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 185.69/30.11  | | |            (14), (15), (16), (17), (19), (23), (24), (25), (26), (28),
% 185.69/30.11  | | |            (29), (30), (31), (32), (33), (34), (35), (36), (37), (38),
% 185.69/30.11  | | |            (39), (40), (41), (42), (43), (44), (45), (46), (51) are
% 185.69/30.11  | | |            inconsistent by sub-proof #749.
% 185.69/30.11  | | | 
% 185.69/30.11  | | End of split
% 185.69/30.11  | | 
% 185.69/30.11  | End of split
% 185.69/30.11  | 
% 185.69/30.11  End of proof
% 185.69/30.11  
% 185.69/30.11  Sub-proof #711 shows that the following formulas are inconsistent:
% 185.69/30.11  ----------------------------------------------------------------
% 185.69/30.11    (1)  op(e3, e3) = e2
% 185.69/30.11    (2)  op(e2, e3) = all_52_1
% 185.69/30.11    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.11    (4)   ~ (all_52_1 = e1)
% 185.69/30.11    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 185.69/30.11    (6)   ~ (e2 = e1)
% 185.69/30.11  
% 185.69/30.11  Begin of proof
% 185.69/30.11  | 
% 185.69/30.11  | BETA: splitting (5) gives:
% 185.69/30.11  | 
% 185.69/30.11  | Case 1:
% 185.69/30.11  | | 
% 185.69/30.11  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 185.69/30.11  | | 
% 185.69/30.11  | | ALPHA: (7) implies:
% 185.69/30.11  | |   (8)  op(e3, e3) = e1
% 185.69/30.11  | | 
% 185.69/30.11  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1582.
% 185.69/30.11  | | 
% 185.69/30.11  | Case 2:
% 185.69/30.11  | | 
% 185.69/30.11  | |   (9)  all_56_2 = e1 & op(e2, e3) = e1
% 185.69/30.11  | | 
% 185.69/30.11  | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #1352.
% 185.69/30.11  | | 
% 185.69/30.11  | End of split
% 185.69/30.11  | 
% 185.69/30.11  End of proof
% 185.69/30.11  
% 185.69/30.11  Sub-proof #712 shows that the following formulas are inconsistent:
% 185.69/30.11  ----------------------------------------------------------------
% 185.69/30.11    (1)   ~ (e1 = e0)
% 185.69/30.11    (2)   ~ (e3 = e0)
% 185.69/30.11    (3)   ~ (e2 = e0)
% 185.69/30.11    (4)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 185.69/30.11         (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.11    (5)  op(e0, e1) = e1
% 185.69/30.11    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.11    (7)  all_56_12 = e3
% 185.69/30.11    (8)  all_56_13 = e2
% 185.69/30.11  
% 185.69/30.11  Begin of proof
% 185.69/30.11  | 
% 185.69/30.11  | BETA: splitting (4) gives:
% 185.69/30.11  | 
% 185.69/30.11  | Case 1:
% 185.69/30.11  | | 
% 185.69/30.11  | |   (9)  all_56_12 = e0 & op(e0, e3) = e0
% 185.69/30.11  | | 
% 185.69/30.11  | | REF_CLOSE: (2), (7), (9) are inconsistent by sub-proof #713.
% 185.69/30.11  | | 
% 185.69/30.11  | Case 2:
% 185.69/30.11  | | 
% 185.69/30.11  | |   (10)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.69/30.11  | |           e0)
% 185.69/30.11  | | 
% 185.69/30.11  | | REF_CLOSE: (1), (3), (5), (6), (8), (10) are inconsistent by sub-proof
% 185.69/30.11  | |            #1120.
% 185.69/30.11  | | 
% 185.69/30.11  | End of split
% 185.69/30.11  | 
% 185.69/30.11  End of proof
% 185.69/30.11  
% 185.69/30.11  Sub-proof #713 shows that the following formulas are inconsistent:
% 185.69/30.11  ----------------------------------------------------------------
% 185.69/30.11    (1)  all_56_12 = e0 & op(e0, e3) = e0
% 185.69/30.11    (2)  all_56_12 = e3
% 185.69/30.11    (3)   ~ (e3 = e0)
% 185.69/30.11  
% 185.69/30.11  Begin of proof
% 185.69/30.11  | 
% 185.69/30.11  | ALPHA: (1) implies:
% 185.69/30.11  |   (4)  all_56_12 = e0
% 185.69/30.11  | 
% 185.69/30.11  | COMBINE_EQS: (2), (4) imply:
% 185.69/30.11  |   (5)  e3 = e0
% 185.69/30.11  | 
% 185.69/30.11  | REDUCE: (3), (5) imply:
% 185.69/30.11  |   (6)  $false
% 185.69/30.11  | 
% 185.69/30.11  | CLOSE: (6) is inconsistent.
% 185.69/30.11  | 
% 185.69/30.11  End of proof
% 185.69/30.11  
% 185.69/30.11  Sub-proof #714 shows that the following formulas are inconsistent:
% 185.69/30.11  ----------------------------------------------------------------
% 185.69/30.11    (1)  all_56_12 = e2 & op(e0, e3) = e2
% 185.69/30.11    (2)  all_56_12 = e3
% 185.69/30.11    (3)   ~ (e3 = e2)
% 185.69/30.11  
% 185.69/30.11  Begin of proof
% 185.69/30.11  | 
% 185.69/30.11  | ALPHA: (1) implies:
% 185.69/30.11  |   (4)  all_56_12 = e2
% 185.69/30.11  | 
% 185.69/30.11  | COMBINE_EQS: (2), (4) imply:
% 185.69/30.11  |   (5)  e3 = e2
% 185.69/30.11  | 
% 185.69/30.11  | REDUCE: (3), (5) imply:
% 185.69/30.11  |   (6)  $false
% 185.69/30.11  | 
% 185.69/30.11  | CLOSE: (6) is inconsistent.
% 185.69/30.11  | 
% 185.69/30.11  End of proof
% 185.69/30.11  
% 185.69/30.11  Sub-proof #715 shows that the following formulas are inconsistent:
% 185.69/30.11  ----------------------------------------------------------------
% 185.69/30.11    (1)  all_56_11 = e3 & op(e1, e0) = e3
% 185.69/30.11    (2)  all_56_11 = e1
% 185.69/30.11    (3)   ~ (e3 = e1)
% 185.69/30.11  
% 185.69/30.11  Begin of proof
% 185.69/30.11  | 
% 185.69/30.11  | ALPHA: (1) implies:
% 185.69/30.11  |   (4)  all_56_11 = e3
% 185.69/30.11  | 
% 185.69/30.11  | COMBINE_EQS: (2), (4) imply:
% 185.69/30.11  |   (5)  e3 = e1
% 185.69/30.11  | 
% 185.69/30.11  | REDUCE: (3), (5) imply:
% 185.69/30.11  |   (6)  $false
% 185.69/30.11  | 
% 185.69/30.11  | CLOSE: (6) is inconsistent.
% 185.69/30.11  | 
% 185.69/30.11  End of proof
% 185.69/30.11  
% 185.69/30.11  Sub-proof #716 shows that the following formulas are inconsistent:
% 185.69/30.11  ----------------------------------------------------------------
% 185.69/30.11    (1)   ~ (e1 = e0)
% 185.69/30.11    (2)  op(e3, e1) = e3
% 185.69/30.11    (3)   ~ (e3 = e0)
% 185.69/30.11    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.11    (5)  op(e3, e1) = all_52_8
% 185.69/30.11    (6)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.11    (7)  all_56_9 = e1
% 185.69/30.11  
% 185.69/30.11  Begin of proof
% 185.69/30.11  | 
% 185.69/30.11  | BETA: splitting (6) gives:
% 185.69/30.11  | 
% 185.69/30.11  | Case 1:
% 185.69/30.11  | | 
% 185.69/30.11  | |   (8)  all_56_4 = e0 & op(e3, e1) = e0
% 185.69/30.11  | | 
% 185.69/30.11  | | ALPHA: (8) implies:
% 185.69/30.11  | |   (9)  op(e3, e1) = e0
% 185.69/30.11  | | 
% 185.69/30.11  | | REF_CLOSE: (2), (3), (4), (5), (9) are inconsistent by sub-proof #1577.
% 185.69/30.11  | | 
% 185.69/30.11  | Case 2:
% 185.69/30.11  | | 
% 185.69/30.11  | |   (10)  all_56_9 = e0 & op(e3, e0) = e0
% 185.69/30.11  | | 
% 185.69/30.11  | | REF_CLOSE: (1), (7), (10) are inconsistent by sub-proof #1505.
% 185.69/30.11  | | 
% 185.69/30.11  | End of split
% 185.69/30.11  | 
% 185.69/30.11  End of proof
% 185.69/30.11  
% 185.69/30.11  Sub-proof #717 shows that the following formulas are inconsistent:
% 185.69/30.11  ----------------------------------------------------------------
% 185.69/30.11    (1)  op(e0, e0) = all_6_2
% 185.69/30.11    (2)   ~ (all_4_2 = e0)
% 185.69/30.11    (3)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.11         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.69/30.11    (4)   ~ (all_6_2 = e1)
% 185.69/30.11    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.69/30.11         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.69/30.11    (6)  all_56_10 = e2
% 185.69/30.11    (7)   ~ (e1 = e0)
% 185.69/30.11    (8)  all_56_1 = e0
% 185.69/30.11    (9)   ~ (e3 = e0)
% 185.69/30.11    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.69/30.11          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.11    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.69/30.11          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.69/30.11    (12)   ~ (e2 = e0)
% 185.69/30.11    (13)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.11          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.69/30.11    (14)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.11          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.69/30.11    (15)   ~ (e3 = e1)
% 185.69/30.11    (16)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.11            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.11    (17)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.69/30.11          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.11    (18)   ~ (all_52_6 = e2)
% 185.69/30.11    (19)  all_56_5 = e0
% 185.69/30.11    (20)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.69/30.11          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.69/30.11    (21)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.11          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.69/30.11    (22)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.69/30.11          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.69/30.11    (23)  all_56_4 = e3
% 185.69/30.11    (24)  op(e2, e2) = e1
% 185.69/30.11    (25)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.69/30.11          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.69/30.11    (26)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.69/30.11          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.69/30.11            e1)
% 185.69/30.11    (27)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.11          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.69/30.11    (28)   ~ (e3 = e2)
% 185.69/30.11    (29)  all_56_2 = e3
% 185.69/30.11    (30)  op(e3, e1) = all_52_8
% 185.69/30.11    (31)  op(e3, e3) = all_4_2
% 185.69/30.11    (32)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.11          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.69/30.11    (33)  op(e1, e2) = all_52_6
% 185.69/30.11    (34)  op(e3, e3) = e3
% 185.69/30.11    (35)  all_56_9 = e1
% 185.69/30.11    (36)  op(e1, e1) = e2
% 185.69/30.11    (37)   ~ (e2 = e1)
% 185.69/30.11    (38)   ~ (all_4_2 = e1)
% 185.69/30.11    (39)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.69/30.11          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.69/30.11    (40)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.69/30.11          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.69/30.11  
% 185.69/30.11  Begin of proof
% 185.69/30.11  | 
% 185.69/30.11  | BETA: splitting (25) gives:
% 185.69/30.11  | 
% 185.69/30.11  | Case 1:
% 185.69/30.11  | | 
% 185.69/30.11  | |   (41)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 185.69/30.11  | |           e2)
% 185.69/30.11  | | 
% 185.69/30.11  | | REF_CLOSE: (8), (12), (16), (28), (34), (41) are inconsistent by sub-proof
% 185.69/30.11  | |            #718.
% 185.69/30.11  | | 
% 185.69/30.11  | Case 2:
% 185.69/30.11  | | 
% 185.69/30.11  | |   (42)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 185.69/30.11  | |           e2)
% 185.69/30.11  | | 
% 185.69/30.11  | | BETA: splitting (42) gives:
% 185.69/30.11  | | 
% 185.69/30.11  | | Case 1:
% 185.69/30.11  | | | 
% 185.69/30.11  | | |   (43)  all_56_4 = e2 & op(e3, e1) = e2
% 185.69/30.11  | | | 
% 185.69/30.11  | | | ALPHA: (43) implies:
% 185.69/30.11  | | |   (44)  all_56_4 = e2
% 185.69/30.11  | | | 
% 185.69/30.11  | | | COMBINE_EQS: (23), (44) imply:
% 185.69/30.11  | | |   (45)  e3 = e2
% 185.69/30.11  | | | 
% 185.69/30.11  | | | SIMP: (45) implies:
% 185.69/30.11  | | |   (46)  e3 = e2
% 185.69/30.11  | | | 
% 185.69/30.11  | | | COMBINE_EQS: (29), (46) imply:
% 185.69/30.11  | | |   (47)  all_56_2 = e2
% 185.69/30.11  | | | 
% 185.69/30.11  | | | REF_CLOSE: (6), (9), (15), (16), (19), (24), (28), (32), (47) are
% 185.69/30.11  | | |            inconsistent by sub-proof #1330.
% 185.69/30.11  | | | 
% 185.69/30.11  | | Case 2:
% 185.69/30.11  | | | 
% 185.69/30.11  | | |   (48)  all_56_9 = e2 & op(e3, e0) = e2
% 185.69/30.11  | | | 
% 185.69/30.11  | | | ALPHA: (48) implies:
% 185.69/30.11  | | |   (49)  all_56_9 = e2
% 185.69/30.11  | | | 
% 185.69/30.11  | | | COMBINE_EQS: (35), (49) imply:
% 185.69/30.11  | | |   (50)  e2 = e1
% 185.69/30.11  | | | 
% 185.69/30.11  | | | SIMP: (50) implies:
% 185.69/30.11  | | |   (51)  e2 = e1
% 185.69/30.11  | | | 
% 185.69/30.11  | | | COMBINE_EQS: (6), (51) imply:
% 185.69/30.11  | | |   (52)  all_56_10 = e1
% 185.69/30.11  | | | 
% 185.69/30.11  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (10), (11), (12), (13),
% 185.69/30.11  | | |            (14), (15), (16), (17), (18), (20), (21), (22), (24), (25),
% 185.69/30.11  | | |            (26), (27), (28), (30), (31), (32), (33), (36), (37), (38),
% 185.69/30.11  | | |            (39), (40), (49), (52) are inconsistent by sub-proof #766.
% 185.69/30.11  | | | 
% 185.69/30.11  | | End of split
% 185.69/30.11  | | 
% 185.69/30.11  | End of split
% 185.69/30.11  | 
% 185.69/30.11  End of proof
% 185.69/30.11  
% 185.69/30.11  Sub-proof #718 shows that the following formulas are inconsistent:
% 185.69/30.11  ----------------------------------------------------------------
% 185.69/30.11    (1)  all_56_1 = e0
% 185.69/30.11    (2)   ~ (e2 = e0)
% 185.69/30.11    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.11           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.11    (4)   ~ (e3 = e2)
% 185.69/30.11    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 185.69/30.11    (6)  op(e3, e3) = e3
% 185.69/30.11  
% 185.69/30.11  Begin of proof
% 185.69/30.11  | 
% 185.69/30.11  | BETA: splitting (5) gives:
% 185.69/30.11  | 
% 185.69/30.11  | Case 1:
% 185.69/30.11  | | 
% 185.69/30.11  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 185.69/30.11  | | 
% 185.69/30.11  | | ALPHA: (7) implies:
% 185.69/30.11  | |   (8)  op(e3, e3) = e2
% 185.69/30.11  | | 
% 185.69/30.11  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #1594.
% 185.69/30.11  | | 
% 185.69/30.11  | Case 2:
% 185.69/30.11  | | 
% 185.69/30.11  | |   (9)  all_56_1 = e2 & op(e3, e2) = e2
% 185.69/30.11  | | 
% 185.69/30.11  | | ALPHA: (9) implies:
% 185.69/30.11  | |   (10)  all_56_1 = e2
% 185.69/30.11  | | 
% 185.69/30.11  | | REF_CLOSE: (1), (2), (10) are inconsistent by sub-proof #1019.
% 185.69/30.11  | | 
% 185.69/30.11  | End of split
% 185.69/30.11  | 
% 185.69/30.11  End of proof
% 185.69/30.11  
% 185.69/30.11  Sub-proof #719 shows that the following formulas are inconsistent:
% 185.69/30.11  ----------------------------------------------------------------
% 185.69/30.11    (1)  op(e0, e0) = all_6_2
% 185.69/30.11    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.69/30.11         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.69/30.11    (3)   ~ (all_4_2 = e0)
% 185.69/30.11    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.11         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.69/30.11    (5)   ~ (all_6_2 = e1)
% 185.69/30.11    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.69/30.11         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.69/30.11    (7)   ~ (e1 = e0)
% 185.69/30.11    (8)   ~ (e3 = e0)
% 185.69/30.11    (9)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.69/30.11         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.69/30.11    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.69/30.11          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.11    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.69/30.11          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.69/30.11    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.69/30.11          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.69/30.11    (13)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.69/30.11          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.69/30.11    (14)   ~ (e2 = e0)
% 185.69/30.11    (15)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.11          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.69/30.11    (16)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.11          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.69/30.11    (17)   ~ (e3 = e1)
% 185.69/30.11    (18)   ~ (all_52_4 = all_52_7)
% 185.69/30.11    (19)   ~ (all_6_2 = e2)
% 185.69/30.11    (20)  op(e2, e3) = all_52_1
% 185.69/30.11    (21)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.11            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.11    (22)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.69/30.11          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.11    (23)   ~ (all_52_6 = e2)
% 185.69/30.11    (24)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.69/30.11          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.69/30.11    (25)   ~ (all_52_1 = e1)
% 185.69/30.11    (26)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.11          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.69/30.11    (27)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.69/30.11          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.69/30.11    (28)  op(e2, e2) = e1
% 185.69/30.11    (29)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.69/30.11          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.69/30.11    (30)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.69/30.11          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.69/30.11            e1)
% 185.69/30.11    (31)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.11          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.69/30.11    (32)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.69/30.11          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.69/30.11    (33)   ~ (e3 = e2)
% 185.69/30.11    (34)  op(e3, e1) = all_52_8
% 185.69/30.11    (35)  op(e3, e3) = all_4_2
% 185.69/30.11    (36)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.11          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.69/30.11    (37)  op(e3, e2) = all_52_4
% 185.69/30.11    (38)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.69/30.11          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.69/30.11    (39)  op(e1, e2) = all_52_6
% 185.69/30.11    (40)  op(e3, e3) = e3
% 185.69/30.11    (41)  op(e1, e1) = e2
% 185.69/30.11    (42)   ~ (e2 = e1)
% 185.69/30.11    (43)  op(e0, e2) = all_52_7
% 185.69/30.11    (44)   ~ (all_4_2 = e1)
% 185.69/30.11    (45)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.69/30.11          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.69/30.11    (46)  all_56_1 = e3 & op(e3, e2) = e3
% 185.69/30.11    (47)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.69/30.11          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.69/30.11  
% 185.69/30.11  Begin of proof
% 185.69/30.11  | 
% 185.69/30.11  | ALPHA: (46) implies:
% 185.69/30.11  |   (48)  all_56_1 = e3
% 185.69/30.11  | 
% 185.69/30.11  | BETA: splitting (16) gives:
% 185.69/30.11  | 
% 185.69/30.11  | Case 1:
% 185.69/30.11  | | 
% 185.69/30.11  | |   (49)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 185.69/30.11  | |           e2)
% 185.69/30.11  | | 
% 185.69/30.11  | | BETA: splitting (49) gives:
% 185.69/30.11  | | 
% 185.69/30.11  | | Case 1:
% 185.69/30.11  | | | 
% 185.69/30.11  | | |   (50)  all_56_1 = e2 & op(e3, e2) = e2
% 185.69/30.11  | | | 
% 185.69/30.11  | | | REF_CLOSE: (33), (48), (50) are inconsistent by sub-proof #1379.
% 185.69/30.11  | | | 
% 185.69/30.11  | | Case 2:
% 185.69/30.11  | | | 
% 185.69/30.11  | | |   (51)  all_56_3 = e2 & op(e2, e2) = e2
% 185.69/30.11  | | | 
% 185.69/30.11  | | | ALPHA: (51) implies:
% 185.69/30.11  | | |   (52)  op(e2, e2) = e2
% 185.69/30.11  | | | 
% 185.69/30.11  | | | REF_CLOSE: (21), (28), (42), (52) are inconsistent by sub-proof #1487.
% 185.69/30.11  | | | 
% 185.69/30.11  | | End of split
% 185.69/30.11  | | 
% 185.69/30.11  | Case 2:
% 185.69/30.11  | | 
% 185.69/30.11  | |   (53)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 185.69/30.11  | |           e2)
% 185.69/30.11  | | 
% 185.69/30.11  | | BETA: splitting (53) gives:
% 185.69/30.11  | | 
% 185.69/30.11  | | Case 1:
% 185.69/30.11  | | | 
% 185.69/30.11  | | |   (54)  all_56_7 = e2 & op(e1, e2) = e2
% 185.69/30.11  | | | 
% 185.69/30.11  | | | ALPHA: (54) implies:
% 185.69/30.11  | | |   (55)  op(e1, e2) = e2
% 185.69/30.11  | | | 
% 185.69/30.11  | | | REF_CLOSE: (21), (23), (39), (55) are inconsistent by sub-proof #1614.
% 185.69/30.11  | | | 
% 185.69/30.11  | | Case 2:
% 185.69/30.11  | | | 
% 185.69/30.11  | | |   (56)  all_56_13 = e2 & op(e0, e2) = e2
% 185.69/30.11  | | | 
% 185.69/30.11  | | | ALPHA: (56) implies:
% 185.69/30.11  | | |   (57)  all_56_13 = e2
% 185.69/30.11  | | |   (58)  op(e0, e2) = e2
% 185.69/30.11  | | | 
% 185.69/30.11  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.69/30.11  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 185.69/30.11  | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 185.69/30.11  | | |            (33), (34), (35), (36), (37), (38), (39), (40), (41), (42),
% 185.69/30.11  | | |            (43), (44), (45), (47), (48), (57), (58) are inconsistent by
% 185.69/30.11  | | |            sub-proof #742.
% 185.69/30.11  | | | 
% 185.69/30.11  | | End of split
% 185.69/30.11  | | 
% 185.69/30.11  | End of split
% 185.69/30.11  | 
% 185.69/30.11  End of proof
% 185.69/30.11  
% 185.69/30.11  Sub-proof #720 shows that the following formulas are inconsistent:
% 185.69/30.11  ----------------------------------------------------------------
% 185.69/30.11    (1)  all_54_6 = all_52_9
% 185.69/30.11    (2)   ~ (all_52_8 = all_52_11)
% 185.69/30.11    (3)  op(e0, e0) = all_6_2
% 185.69/30.11    (4)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 185.69/30.11    (5)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.69/30.11         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.69/30.11    (6)   ~ (all_32_2 = e3) | ( ~ (all_32_0 = e2) & op(e3, e3) = all_32_0 &
% 185.69/30.11           $i(all_32_0)) | ( ~ (all_32_1 = e1) & op(e3, e0) = all_32_1 &
% 185.69/30.11           $i(all_32_1))
% 185.69/30.11    (7)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.69/30.11    (8)   ~ (all_4_2 = e0)
% 185.69/30.11    (9)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.11         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.69/30.11    (10)   ~ (all_6_2 = e1)
% 185.69/30.11    (11)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.69/30.11          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.69/30.11    (12)  all_56_0 = e3
% 185.69/30.11    (13)   ~ (e1 = e0)
% 185.69/30.11    (14)  op(e1, e3) = all_52_2
% 185.69/30.11    (15)  op(e1, e0) = all_52_14
% 185.69/30.11    (16)  all_54_15 = all_6_2
% 185.69/30.11    (17)   ~ (all_52_13 = all_52_14)
% 185.69/30.11    (18)  all_54_0 = all_4_2
% 185.69/30.11    (19)   ~ (e3 = e0)
% 185.69/30.11    (20)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.69/30.11          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.69/30.11    (21)  op(e0, e1) = all_52_11
% 185.69/30.11    (22)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.69/30.11          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.11    (23)   ~ (all_52_13 = all_6_2)
% 185.69/30.11    (24)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.69/30.11          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.69/30.12    (25)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.69/30.12          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.69/30.12    (26)  op(e2, e1) = all_52_9
% 185.69/30.12    (27)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.69/30.12          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.69/30.12    (28)   ~ (all_52_11 = all_6_2)
% 185.69/30.12    (29)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.69/30.12          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.69/30.12    (30)  op(e3, e0) = all_52_12
% 185.69/30.12    (31)   ~ (e2 = e0)
% 185.69/30.12    (32)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.12          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.69/30.12    (33)   ~ (all_52_12 = all_52_13)
% 185.69/30.12    (34)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.12          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.69/30.12    (35)   ~ (e3 = e1)
% 185.69/30.12    (36)   ~ (all_52_4 = all_52_7)
% 185.69/30.12    (37)   ~ (all_6_2 = e2)
% 185.69/30.12    (38)   ~ (all_52_9 = all_52_13)
% 185.69/30.12    (39)   ~ (all_52_14 = e2)
% 185.69/30.12    (40)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.69/30.12          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.69/30.12    (41)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 185.69/30.12    (42)   ~ (all_52_12 = all_52_14)
% 185.69/30.12    (43)  op(e2, e3) = all_52_1
% 185.69/30.12    (44)  all_54_4 = all_52_1
% 185.69/30.12    (45)   ~ (all_52_1 = e3)
% 185.69/30.12    (46)  op(e0, e3) = all_52_3
% 185.69/30.12    (47)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.69/30.12    (48)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.12            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.12    (49)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.69/30.12          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.12    (50)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 185.69/30.12    (51)   ~ (all_52_13 = e1)
% 185.69/30.12    (52)   ~ (all_52_1 = all_52_13)
% 185.69/30.12    (53)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 185.69/30.12          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 185.69/30.12            e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 & $i(all_57_24))
% 185.69/30.12    (54)  all_54_7 = all_52_13
% 185.69/30.12    (55)  all_57_31 = all_6_2
% 185.69/30.12    (56)   ~ (all_52_6 = e2)
% 185.69/30.12    (57)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.69/30.12          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.69/30.12    (58)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 185.69/30.12              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 185.69/30.12            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.69/30.12              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.69/30.12            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 185.69/30.12            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 185.69/30.12            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 185.69/30.12            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 185.69/30.12            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 185.69/30.12            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.69/30.12              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 185.69/30.12              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.69/30.12            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.69/30.12          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 185.69/30.12              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 185.69/30.12            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.69/30.12              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.69/30.12            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 185.69/30.12            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.69/30.12            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 185.69/30.12            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.69/30.12            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.69/30.12              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.69/30.12              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 185.69/30.12            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 185.69/30.12            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.69/30.12            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 185.69/30.12            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 185.69/30.12            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 185.69/30.12            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 185.69/30.12            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.69/30.12            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 185.69/30.12            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 185.69/30.12            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 185.69/30.12              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 185.69/30.12            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 185.69/30.12            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 185.69/30.12              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 185.69/30.12            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 185.69/30.12            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 185.69/30.12            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 185.69/30.12            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.69/30.12            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.69/30.12              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 185.69/30.12              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 185.69/30.12            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 185.69/30.12            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 185.69/30.12              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 185.69/30.12            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 185.69/30.12            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.69/30.12            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 185.69/30.12            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 185.69/30.12            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 185.69/30.12                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 185.69/30.12                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 185.69/30.12                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.69/30.12                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 185.69/30.12                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.69/30.12                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.69/30.12                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.69/30.12                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.69/30.12                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.69/30.12                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.69/30.12                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 185.69/30.12                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.69/30.12                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 185.69/30.12                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 185.69/30.12                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 185.69/30.12                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 185.69/30.12    (59)  all_54_11 = all_52_14
% 185.69/30.12    (60)   ~ (all_52_1 = e1)
% 185.69/30.12    (61)  all_32_2 = all_6_2
% 185.69/30.12    (62)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.12          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.69/30.12    (63)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 185.69/30.12          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 185.69/30.12            e0) | ( ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 & $i(all_57_21))
% 185.69/30.12    (64)   ~ (all_52_9 = all_52_11)
% 185.69/30.12    (65)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.69/30.12          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.69/30.12    (66)  op(e2, e2) = e1
% 185.69/30.12    (67)   ~ (all_52_9 = e2)
% 185.69/30.12    (68)   ~ (all_52_7 = all_6_2)
% 185.69/30.12    (69)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.69/30.12          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.69/30.12    (70)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.69/30.12          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.69/30.12            e1)
% 185.69/30.12    (71)   ~ (all_52_12 = e3)
% 185.69/30.12    (72)   ~ (all_52_3 = all_4_2)
% 185.69/30.12    (73)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.12          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.69/30.12    (74)  op(e2, e0) = all_52_13
% 185.69/30.12    (75)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.69/30.12          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.69/30.12    (76)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 185.69/30.12    (77)   ~ (e3 = e2)
% 185.69/30.12    (78)   ~ (all_52_2 = all_4_2)
% 185.69/30.12    (79)   ~ (all_52_12 = all_6_2)
% 185.69/30.12    (80)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.69/30.12          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.69/30.12    (81)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.69/30.12    (82)  op(e3, e1) = all_52_8
% 185.69/30.12    (83)  op(e3, e3) = all_4_2
% 185.69/30.12    (84)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.12          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.69/30.12    (85)   ~ (all_52_14 = all_6_2)
% 185.69/30.12    (86)  op(e3, e2) = all_52_4
% 185.69/30.12    (87)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.69/30.12          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.69/30.12            e3)
% 185.69/30.12    (88)   ~ (all_52_4 = all_4_2)
% 185.69/30.12    (89)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.69/30.12          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.69/30.12    (90)  op(e1, e2) = all_52_6
% 185.69/30.12    (91)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 185.69/30.12    (92)  op(e3, e3) = e3
% 185.69/30.12    (93)  op(e1, e1) = e2
% 185.69/30.12    (94)   ~ (e2 = e1)
% 185.69/30.12    (95)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.69/30.12          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.69/30.12            e2)
% 185.69/30.12    (96)  all_54_3 = all_52_12
% 185.69/30.12    (97)  op(e0, e2) = all_52_7
% 185.69/30.12    (98)   ~ (all_52_9 = e1)
% 185.69/30.12    (99)   ~ (all_52_1 = all_52_9)
% 185.69/30.12    (100)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) =
% 185.69/30.12                 e0) | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 185.69/30.12                 op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 185.69/30.12               (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.69/30.12                 e0)))
% 185.69/30.12    (101)  all_54_14 = all_52_11
% 185.69/30.12    (102)   ~ (all_52_11 = e2)
% 185.69/30.12    (103)   ~ (all_4_2 = e1)
% 185.69/30.12    (104)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.69/30.12           (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.69/30.12    (105)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.69/30.12           (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.69/30.12  
% 185.69/30.12  Begin of proof
% 185.69/30.12  | 
% 185.69/30.12  | BETA: splitting (6) gives:
% 185.69/30.12  | 
% 185.69/30.12  | Case 1:
% 185.69/30.12  | | 
% 185.69/30.12  | |   (106)   ~ (all_32_2 = e3)
% 185.69/30.12  | | 
% 185.69/30.12  | | REDUCE: (61), (106) imply:
% 185.69/30.12  | |   (107)   ~ (all_6_2 = e3)
% 185.69/30.12  | | 
% 185.69/30.12  | | BETA: splitting (4) gives:
% 185.69/30.12  | | 
% 185.69/30.12  | | Case 1:
% 185.69/30.12  | | | 
% 185.69/30.12  | | |   (108)  all_54_15 = e3
% 185.69/30.12  | | | 
% 185.69/30.12  | | | REF_CLOSE: (16), (107), (108) are inconsistent by sub-proof #1608.
% 185.69/30.12  | | | 
% 185.69/30.12  | | Case 2:
% 185.69/30.12  | | | 
% 185.69/30.12  | | |   (109)   ~ (all_54_15 = e3)
% 185.69/30.12  | | |   (110)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 185.69/30.12  | | | 
% 185.69/30.12  | | | BETA: splitting (110) gives:
% 185.69/30.12  | | | 
% 185.69/30.12  | | | Case 1:
% 185.69/30.12  | | | | 
% 185.69/30.12  | | | |   (111)  all_54_15 = e2
% 185.69/30.12  | | | | 
% 185.69/30.12  | | | | REF_CLOSE: (16), (37), (111) are inconsistent by sub-proof #1607.
% 185.69/30.12  | | | | 
% 185.69/30.12  | | | Case 2:
% 185.69/30.12  | | | | 
% 185.69/30.12  | | | |   (112)   ~ (all_54_15 = e2)
% 185.69/30.12  | | | |   (113)  all_54_15 = e1 | all_54_15 = e0
% 185.69/30.12  | | | | 
% 185.69/30.12  | | | | BETA: splitting (113) gives:
% 185.69/30.12  | | | | 
% 185.69/30.12  | | | | Case 1:
% 185.69/30.12  | | | | | 
% 185.69/30.12  | | | | |   (114)  all_54_15 = e1
% 185.69/30.12  | | | | | 
% 185.69/30.12  | | | | | REF_CLOSE: (10), (16), (114) are inconsistent by sub-proof #1606.
% 185.69/30.12  | | | | | 
% 185.69/30.12  | | | | Case 2:
% 185.69/30.12  | | | | | 
% 185.69/30.12  | | | | |   (115)  all_54_15 = e0
% 185.69/30.12  | | | | | 
% 185.69/30.12  | | | | | COMBINE_EQS: (16), (115) imply:
% 185.69/30.12  | | | | |   (116)  all_6_2 = e0
% 185.69/30.12  | | | | | 
% 185.69/30.12  | | | | | SIMP: (116) implies:
% 185.69/30.12  | | | | |   (117)  all_6_2 = e0
% 185.69/30.12  | | | | | 
% 185.69/30.12  | | | | | COMBINE_EQS: (55), (117) imply:
% 185.69/30.12  | | | | |   (118)  all_57_31 = e0
% 185.69/30.12  | | | | | 
% 185.69/30.12  | | | | | REDUCE: (68), (117) imply:
% 185.69/30.12  | | | | |   (119)   ~ (all_52_7 = e0)
% 185.69/30.12  | | | | | 
% 185.69/30.12  | | | | | REDUCE: (28), (117) imply:
% 185.69/30.12  | | | | |   (120)   ~ (all_52_11 = e0)
% 185.69/30.12  | | | | | 
% 185.69/30.12  | | | | | REDUCE: (79), (117) imply:
% 185.69/30.12  | | | | |   (121)   ~ (all_52_12 = e0)
% 185.69/30.12  | | | | | 
% 185.69/30.12  | | | | | REDUCE: (23), (117) imply:
% 185.69/30.12  | | | | |   (122)   ~ (all_52_13 = e0)
% 185.69/30.12  | | | | | 
% 185.69/30.12  | | | | | REDUCE: (85), (117) imply:
% 185.69/30.12  | | | | |   (123)   ~ (all_52_14 = e0)
% 185.69/30.12  | | | | | 
% 185.69/30.12  | | | | | REDUCE: (107), (117) imply:
% 185.69/30.12  | | | | |   (124)   ~ (e3 = e0)
% 185.69/30.12  | | | | | 
% 185.69/30.12  | | | | | REDUCE: (37), (117) imply:
% 185.69/30.12  | | | | |   (125)   ~ (e2 = e0)
% 185.69/30.12  | | | | | 
% 185.69/30.12  | | | | | REDUCE: (10), (117) imply:
% 185.69/30.12  | | | | |   (126)   ~ (e1 = e0)
% 185.69/30.12  | | | | | 
% 185.69/30.12  | | | | | REDUCE: (3), (117) imply:
% 185.69/30.12  | | | | |   (127)  op(e0, e0) = e0
% 185.69/30.12  | | | | | 
% 185.69/30.12  | | | | | BETA: splitting (100) gives:
% 185.69/30.12  | | | | | 
% 185.69/30.12  | | | | | Case 1:
% 185.69/30.12  | | | | | | 
% 185.69/30.12  | | | | | |   (128)  all_56_15 = e0 & op(e0, e0) = e0
% 185.69/30.12  | | | | | | 
% 185.69/30.12  | | | | | | ALPHA: (128) implies:
% 185.69/30.12  | | | | | |   (129)  all_56_15 = e0
% 185.69/30.12  | | | | | | 
% 185.69/30.12  | | | | | | BETA: splitting (50) gives:
% 185.69/30.12  | | | | | | 
% 185.69/30.12  | | | | | | Case 1:
% 185.69/30.12  | | | | | | | 
% 185.69/30.12  | | | | | | |   (130)  all_54_6 = e3
% 185.69/30.12  | | | | | | | 
% 185.69/30.12  | | | | | | | COMBINE_EQS: (1), (130) imply:
% 185.69/30.12  | | | | | | |   (131)  all_52_9 = e3
% 185.69/30.12  | | | | | | | 
% 185.69/30.12  | | | | | | | SIMP: (131) implies:
% 185.69/30.12  | | | | | | |   (132)  all_52_9 = e3
% 185.69/30.12  | | | | | | | 
% 185.69/30.12  | | | | | | | REDUCE: (64), (132) imply:
% 185.69/30.12  | | | | | | |   (133)   ~ (all_52_11 = e3)
% 185.69/30.12  | | | | | | | 
% 185.69/30.12  | | | | | | | SIMP: (133) implies:
% 185.69/30.12  | | | | | | |   (134)   ~ (all_52_11 = e3)
% 185.69/30.12  | | | | | | | 
% 185.69/30.12  | | | | | | | REDUCE: (38), (132) imply:
% 185.69/30.12  | | | | | | |   (135)   ~ (all_52_13 = e3)
% 185.69/30.12  | | | | | | | 
% 185.69/30.12  | | | | | | | SIMP: (135) implies:
% 185.69/30.12  | | | | | | |   (136)   ~ (all_52_13 = e3)
% 185.69/30.12  | | | | | | | 
% 185.69/30.12  | | | | | | | REDUCE: (26), (132) imply:
% 185.69/30.12  | | | | | | |   (137)  op(e2, e1) = e3
% 185.69/30.12  | | | | | | | 
% 185.69/30.12  | | | | | | | BETA: splitting (84) gives:
% 185.69/30.12  | | | | | | | 
% 185.69/30.12  | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | 
% 185.69/30.12  | | | | | | | |   (138)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 &
% 185.69/30.12  | | | | | | | |            op(e2, e2) = e3)
% 185.69/30.12  | | | | | | | | 
% 185.69/30.12  | | | | | | | | BETA: splitting (138) gives:
% 185.69/30.12  | | | | | | | | 
% 185.69/30.12  | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | 
% 185.69/30.12  | | | | | | | | |   (139)  all_56_2 = e3 & op(e2, e3) = e3
% 185.69/30.12  | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | ALPHA: (139) implies:
% 185.69/30.12  | | | | | | | | |   (140)  all_56_2 = e3
% 185.69/30.12  | | | | | | | | |   (141)  op(e2, e3) = e3
% 185.69/30.12  | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | BETA: splitting (91) gives:
% 185.69/30.12  | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | |   (142)  all_54_14 = e3
% 185.69/30.12  | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | REF_CLOSE: (101), (134), (142) are inconsistent by sub-proof
% 185.69/30.12  | | | | | | | | | |            #1259.
% 185.69/30.12  | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | |   (143)   ~ (all_54_14 = e3)
% 185.69/30.12  | | | | | | | | | |   (144)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 185.69/30.12  | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | BETA: splitting (144) gives:
% 185.69/30.12  | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | |   (145)  all_54_14 = e2
% 185.69/30.12  | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | REF_CLOSE: (101), (102), (145) are inconsistent by sub-proof
% 185.69/30.12  | | | | | | | | | | |            #1234.
% 185.69/30.12  | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | |   (146)  all_54_14 = e1 | all_54_14 = e0
% 185.69/30.12  | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | BETA: splitting (146) gives:
% 185.69/30.12  | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | |   (147)  all_54_14 = e1
% 185.69/30.12  | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | COMBINE_EQS: (101), (147) imply:
% 185.69/30.12  | | | | | | | | | | | |   (148)  all_52_11 = e1
% 185.69/30.12  | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | SIMP: (148) implies:
% 185.69/30.12  | | | | | | | | | | | |   (149)  all_52_11 = e1
% 185.69/30.12  | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | REDUCE: (2), (149) imply:
% 185.69/30.12  | | | | | | | | | | | |   (150)   ~ (all_52_8 = e1)
% 185.69/30.12  | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | REDUCE: (134), (149) imply:
% 185.69/30.12  | | | | | | | | | | | |   (151)   ~ (e3 = e1)
% 185.69/30.12  | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | REDUCE: (21), (149) imply:
% 185.69/30.12  | | | | | | | | | | | |   (152)  op(e0, e1) = e1
% 185.69/30.12  | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | BETA: splitting (81) gives:
% 185.69/30.12  | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | |   (153)  all_54_7 = e3
% 185.69/30.12  | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | REF_CLOSE: (54), (136), (153) are inconsistent by sub-proof
% 185.69/30.12  | | | | | | | | | | | | |            #797.
% 185.69/30.12  | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | |   (154)   ~ (all_54_7 = e3)
% 185.69/30.12  | | | | | | | | | | | | |   (155)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.69/30.12  | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | BETA: splitting (155) gives:
% 185.69/30.12  | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | |   (156)  all_54_7 = e2
% 185.69/30.12  | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | COMBINE_EQS: (54), (156) imply:
% 185.69/30.12  | | | | | | | | | | | | | |   (157)  all_52_13 = e2
% 185.69/30.12  | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | SIMP: (157) implies:
% 185.69/30.12  | | | | | | | | | | | | | |   (158)  all_52_13 = e2
% 185.69/30.12  | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | REDUCE: (52), (158) imply:
% 185.69/30.12  | | | | | | | | | | | | | |   (159)   ~ (all_52_1 = e2)
% 185.69/30.12  | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | REDUCE: (33), (158) imply:
% 185.69/30.12  | | | | | | | | | | | | | |   (160)   ~ (all_52_12 = e2)
% 185.69/30.12  | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | REDUCE: (136), (158) imply:
% 185.69/30.12  | | | | | | | | | | | | | |   (161)   ~ (e3 = e2)
% 185.69/30.12  | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 185.69/30.12  | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | |   (162)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 185.69/30.12  | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 185.69/30.12  | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | REF_CLOSE: (7), (43), (44), (45), (48), (60), (77), (92),
% 185.69/30.12  | | | | | | | | | | | | | | |            (159), (162) are inconsistent by sub-proof #775.
% 185.69/30.12  | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | |   (163)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 185.69/30.12  | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 185.69/30.12  | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | |   (164)  all_56_6 = e2 & op(e1, e3) = e2
% 185.69/30.12  | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | ALPHA: (164) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | |   (165)  all_56_6 = e2
% 185.69/30.12  | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (7), (8), (9), (10), (11), (13), (19),
% 185.69/30.12  | | | | | | | | | | | | | | | |            (22), (24), (27), (29), (31), (32), (34), (35),
% 185.69/30.12  | | | | | | | | | | | | | | | |            (37), (43), (44), (45), (48), (49), (56), (57),
% 185.69/30.12  | | | | | | | | | | | | | | | |            (60), (62), (65), (66), (69), (70), (73), (75),
% 185.69/30.12  | | | | | | | | | | | | | | | |            (77), (82), (83), (84), (89), (90), (93), (94),
% 185.69/30.12  | | | | | | | | | | | | | | | |            (97), (103), (104), (105), (119), (137), (152),
% 185.69/30.12  | | | | | | | | | | | | | | | |            (159), (165) are inconsistent by sub-proof #757.
% 185.69/30.12  | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | |   (166)  all_56_12 = e2 & op(e0, e3) = e2
% 185.69/30.12  | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | ALPHA: (166) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | |   (167)  all_56_12 = e2
% 185.69/30.12  | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | |   (168)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 185.69/30.12  | | | | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 185.69/30.12  | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | |   (169)  all_56_4 = e3 & op(e3, e1) = e3
% 185.69/30.12  | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | ALPHA: (169) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | |   (170)  op(e3, e1) = e3
% 185.69/30.12  | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | |   (171)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 185.69/30.12  | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | |   (172)  all_56_12 = e3 & op(e0, e3) = e3
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | ALPHA: (172) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | |   (173)  all_56_12 = e3
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (167), (173) are inconsistent by sub-proof
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | |            #1555.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | |   (174)  all_56_13 = e3 & op(e0, e2) = e3
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | ALPHA: (174) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | |   (175)  all_56_13 = e3
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | BETA: splitting (62) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | |   (176)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (43), (44), (45), (48), (60), (66), (94),
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | |            (159), (176) are inconsistent by sub-proof #774.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | |   (177)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | |   (178)  all_56_5 = e2 & op(e2, e1) = e2
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (178) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | |   (179)  all_56_5 = e2
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (19), (31), (35), (48), (49), (77),
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | |            (93), (94), (105), (152), (179) are inconsistent
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #893.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | |   (180)  all_56_10 = e2 & op(e2, e0) = e2
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (180) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | |   (181)  all_56_10 = e2
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | |   (182)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (183)  all_56_0 = e0 & op(e3, e3) = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (183) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (184)  op(e3, e3) = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (48), (83), (184) are inconsistent by
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1624.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (185)  all_56_1 = e0 & op(e3, e2) = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (185) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (186)  all_56_1 = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (187)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e0)
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (188)  all_56_4 = e0 & op(e3, e1) = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (188) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (189)  op(e3, e1) = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (48), (82), (170), (189) are inconsistent by
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1577.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (190)  all_56_5 = e0 & op(e2, e1) = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (190) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (191)  all_56_5 = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (29), (31), (34), (35), (43), (48), (56),
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (66), (77), (84), (90), (94), (137), (140),
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |            (175), (181), (186), (191) are inconsistent by
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #756.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (192)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (31), (48), (93), (152), (192) are
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #916.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | |   (193)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (194)  all_56_4 = e0 & op(e3, e1) = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (194) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (195)  op(e3, e1) = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (48), (82), (170), (195) are inconsistent by
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1577.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (196)  all_56_9 = e0 & op(e3, e0) = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (196) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | |   (197)  all_56_9 = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (20) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (198)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (199)  all_56_9 = e1 & op(e3, e0) = e1
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (199) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)  all_56_9 = e1
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (197), (200) are inconsistent by sub-proof
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1484.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_56_10 = e1 & op(e2, e0) = e1
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (201) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  all_56_10 = e1
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (8), (9), (10), (11), (13), (19), (22),
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |            (24), (27), (31), (32), (34), (35), (37), (48),
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |            (49), (56), (57), (62), (65), (66), (69), (70),
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |            (73), (75), (77), (82), (83), (84), (89), (90),
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |            (93), (94), (103), (104), (105), (202) are
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #765.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_56_11 = e1 & op(e1, e0) = e1
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (204) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  all_56_11 = e1
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e3)
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  all_56_6 = e3 & op(e1, e3) = e3
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (207) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  op(e1, e3) = e3
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (104) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e0)
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (19), (48), (83), (141), (209) are
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1595.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_56_6 = e0 & op(e1, e3) = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (211) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  op(e1, e3) = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (48), (208), (212) are inconsistent by
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1536.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_56_12 = e0 & op(e0, e3) = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (11), (13), (19), (31), (35), (37),
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (49), (70), (77), (82), (87), (93), (94),
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (95), (105), (127), (213) are inconsistent by
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #927.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  all_56_7 = e3 & op(e1, e2) = e3
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (214) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  all_56_7 = e3
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e0)
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  all_56_4 = e0 & op(e3, e1) = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (217) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  op(e3, e1) = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (48), (82), (170), (218) are inconsistent by
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1577.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_56_5 = e0 & op(e2, e1) = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (219) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  all_56_5 = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e0)
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_56_1 = e0 & op(e3, e2) = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (222) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_56_1 = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (29), (31), (34), (35), (43), (48), (56),
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (60), (66), (77), (84), (90), (94), (137), (140),
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (175), (181), (220), (223) are inconsistent by
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #756.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_56_3 = e0 & op(e2, e2) = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (224) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  op(e2, e2) = e0
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (48), (66), (225) are inconsistent by
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1310.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0)
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (48), (97), (119), (215), (226) are
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1462.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (31), (48), (93), (152), (227) are
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #916.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e0) = e3)
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (48), (77), (93), (205), (228) are
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #966.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  all_56_15 = e1 & op(e0, e0) = e1
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (229) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  op(e0, e0) = e1
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (48), (230) are inconsistent by
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1516.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | |   (231)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 185.69/30.12  | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (19), (31), (35), (48), (82), (93), (94),
% 185.69/30.12  | | | | | | | | | | | | | | | | | | |            (97), (100), (105), (119), (137), (150), (152),
% 185.69/30.12  | | | | | | | | | | | | | | | | | | |            (167), (231) are inconsistent by sub-proof #751.
% 185.69/30.12  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.12  | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.12  | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | |   (232)  all_56_5 = e3 & op(e2, e1) = e3
% 185.69/30.12  | | | | | | | | | | | | | | | | | | 
% 185.69/30.12  | | | | | | | | | | | | | | | | | | ALPHA: (232) implies:
% 185.69/30.12  | | | | | | | | | | | | | | | | | |   (233)  all_56_5 = e3
% 185.69/30.12  | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (7), (8), (9), (10), (11), (13), (15),
% 185.69/30.13  | | | | | | | | | | | | | | | | | |            (19), (22), (24), (27), (29), (30), (31), (32),
% 185.69/30.13  | | | | | | | | | | | | | | | | | |            (34), (35), (36), (37), (42), (43), (44), (45),
% 185.69/30.13  | | | | | | | | | | | | | | | | | |            (48), (49), (56), (57), (58), (60), (62), (65),
% 185.69/30.13  | | | | | | | | | | | | | | | | | |            (66), (69), (70), (71), (73), (74), (75), (76),
% 185.69/30.13  | | | | | | | | | | | | | | | | | |            (77), (82), (83), (84), (86), (87), (89), (90),
% 185.69/30.13  | | | | | | | | | | | | | | | | | |            (93), (94), (96), (97), (100), (103), (104),
% 185.69/30.13  | | | | | | | | | | | | | | | | | |            (105), (118), (119), (121), (122), (137), (150),
% 185.69/30.13  | | | | | | | | | | | | | | | | | |            (152), (159), (160), (167), (233) are inconsistent
% 185.69/30.13  | | | | | | | | | | | | | | | | | |            by sub-proof #745.
% 185.69/30.13  | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | |   (234)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 185.69/30.13  | | | | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 185.69/30.13  | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | |   (235)  all_56_8 = e3 & op(e1, e1) = e3
% 185.69/30.13  | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | ALPHA: (235) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | |   (236)  op(e1, e1) = e3
% 185.69/30.13  | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (77), (93), (236) are inconsistent by
% 185.69/30.13  | | | | | | | | | | | | | | | | | |            sub-proof #1164.
% 185.69/30.13  | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | |   (237)  all_56_14 = e3 & op(e0, e1) = e3
% 185.69/30.13  | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | ALPHA: (237) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | |   (238)  all_56_14 = e3
% 185.69/30.13  | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (48), (82), (93), (94), (105), (137), (150),
% 185.69/30.13  | | | | | | | | | | | | | | | | | |            (238) are inconsistent by sub-proof #755.
% 185.69/30.13  | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | |   (239)  all_54_7 = e1 | all_54_7 = e0
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | REF_CLOSE: (51), (54), (122), (239) are inconsistent by
% 185.69/30.13  | | | | | | | | | | | | | |            sub-proof #945.
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | |   (240)  all_54_14 = e0
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | REF_CLOSE: (101), (120), (240) are inconsistent by sub-proof
% 185.69/30.13  | | | | | | | | | | | |            #1306.
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | |   (241)  all_56_3 = e3 & op(e2, e2) = e3
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | ALPHA: (241) implies:
% 185.69/30.13  | | | | | | | | |   (242)  op(e2, e2) = e3
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | REF_CLOSE: (35), (48), (66), (242) are inconsistent by
% 185.69/30.13  | | | | | | | | |            sub-proof #1347.
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | 
% 185.69/30.13  | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | 
% 185.69/30.13  | | | | | | | |   (243)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 185.69/30.13  | | | | | | | |            op(e2, e0) = e3)
% 185.69/30.13  | | | | | | | | 
% 185.69/30.13  | | | | | | | | BETA: splitting (243) gives:
% 185.69/30.13  | | | | | | | | 
% 185.69/30.13  | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | |   (244)  all_56_5 = e3 & op(e2, e1) = e3
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | ALPHA: (244) implies:
% 185.69/30.13  | | | | | | | | |   (245)  all_56_5 = e3
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | BETA: splitting (91) gives:
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | |   (246)  all_54_14 = e3
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | REF_CLOSE: (101), (134), (246) are inconsistent by sub-proof
% 185.69/30.13  | | | | | | | | | |            #1259.
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | |   (247)   ~ (all_54_14 = e3)
% 185.69/30.13  | | | | | | | | | |   (248)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | BETA: splitting (248) gives:
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | |   (249)  all_54_14 = e2
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | REF_CLOSE: (101), (102), (249) are inconsistent by sub-proof
% 185.69/30.13  | | | | | | | | | | |            #1234.
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | |   (250)  all_54_14 = e1 | all_54_14 = e0
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | BETA: splitting (250) gives:
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | |   (251)  all_54_14 = e1
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | COMBINE_EQS: (101), (251) imply:
% 185.69/30.13  | | | | | | | | | | | |   (252)  all_52_11 = e1
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | SIMP: (252) implies:
% 185.69/30.13  | | | | | | | | | | | |   (253)  all_52_11 = e1
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | REDUCE: (2), (253) imply:
% 185.69/30.13  | | | | | | | | | | | |   (254)   ~ (all_52_8 = e1)
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | REDUCE: (134), (253) imply:
% 185.69/30.13  | | | | | | | | | | | |   (255)   ~ (e3 = e1)
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | REDUCE: (21), (253) imply:
% 185.69/30.13  | | | | | | | | | | | |   (256)  op(e0, e1) = e1
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | BETA: splitting (81) gives:
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | |   (257)  all_54_7 = e3
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | REF_CLOSE: (54), (136), (257) are inconsistent by sub-proof
% 185.69/30.13  | | | | | | | | | | | | |            #797.
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | |   (258)   ~ (all_54_7 = e3)
% 185.69/30.13  | | | | | | | | | | | | |   (259)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | BETA: splitting (259) gives:
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | |   (260)  all_54_7 = e2
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | COMBINE_EQS: (54), (260) imply:
% 185.69/30.13  | | | | | | | | | | | | | |   (261)  all_52_13 = e2
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | SIMP: (261) implies:
% 185.69/30.13  | | | | | | | | | | | | | |   (262)  all_52_13 = e2
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | REDUCE: (52), (262) imply:
% 185.69/30.13  | | | | | | | | | | | | | |   (263)   ~ (all_52_1 = e2)
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | REDUCE: (33), (262) imply:
% 185.69/30.13  | | | | | | | | | | | | | |   (264)   ~ (all_52_12 = e2)
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | REDUCE: (136), (262) imply:
% 185.69/30.13  | | | | | | | | | | | | | |   (265)   ~ (e3 = e2)
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | |   (266)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 185.69/30.13  | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | REF_CLOSE: (7), (43), (44), (45), (48), (60), (77), (92),
% 185.69/30.13  | | | | | | | | | | | | | | |            (263), (266) are inconsistent by sub-proof #775.
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | |   (267)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 185.69/30.13  | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | |   (268)  all_56_6 = e2 & op(e1, e3) = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | ALPHA: (268) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | |   (269)  all_56_6 = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (7), (8), (9), (10), (11), (13), (19),
% 185.69/30.13  | | | | | | | | | | | | | | | |            (22), (24), (27), (29), (31), (32), (34), (35),
% 185.69/30.13  | | | | | | | | | | | | | | | |            (37), (43), (44), (45), (48), (49), (56), (57),
% 185.69/30.13  | | | | | | | | | | | | | | | |            (60), (62), (65), (66), (69), (70), (73), (75),
% 185.69/30.13  | | | | | | | | | | | | | | | |            (77), (82), (83), (84), (89), (90), (93), (94),
% 185.69/30.13  | | | | | | | | | | | | | | | |            (97), (103), (104), (105), (119), (137), (256),
% 185.69/30.13  | | | | | | | | | | | | | | | |            (263), (269) are inconsistent by sub-proof #757.
% 185.69/30.13  | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | |   (270)  all_56_12 = e2 & op(e0, e3) = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | ALPHA: (270) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | |   (271)  all_56_12 = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (7), (8), (9), (10), (11), (13), (15),
% 185.69/30.13  | | | | | | | | | | | | | | | |            (19), (22), (24), (27), (29), (30), (31), (32),
% 185.69/30.13  | | | | | | | | | | | | | | | |            (34), (35), (36), (37), (42), (43), (44), (45),
% 185.69/30.13  | | | | | | | | | | | | | | | |            (48), (49), (56), (57), (58), (60), (62), (65),
% 185.69/30.13  | | | | | | | | | | | | | | | |            (66), (69), (70), (71), (73), (74), (75), (76),
% 185.69/30.13  | | | | | | | | | | | | | | | |            (77), (82), (83), (84), (86), (87), (89), (90),
% 185.69/30.13  | | | | | | | | | | | | | | | |            (93), (94), (96), (97), (100), (103), (104),
% 185.69/30.13  | | | | | | | | | | | | | | | |            (105), (118), (119), (121), (122), (137), (245),
% 185.69/30.13  | | | | | | | | | | | | | | | |            (254), (256), (263), (264), (271) are inconsistent
% 185.69/30.13  | | | | | | | | | | | | | | | |            by sub-proof #745.
% 185.69/30.13  | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | |   (272)  all_54_7 = e1 | all_54_7 = e0
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | REF_CLOSE: (51), (54), (122), (272) are inconsistent by
% 185.69/30.13  | | | | | | | | | | | | | |            sub-proof #945.
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | |   (273)  all_54_14 = e0
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | REF_CLOSE: (101), (120), (273) are inconsistent by sub-proof
% 185.69/30.13  | | | | | | | | | | | |            #1306.
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | |   (274)  all_56_10 = e3 & op(e2, e0) = e3
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | ALPHA: (274) implies:
% 185.69/30.13  | | | | | | | | |   (275)  all_56_10 = e3
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | BETA: splitting (91) gives:
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | |   (276)  all_54_14 = e3
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | REF_CLOSE: (101), (134), (276) are inconsistent by sub-proof
% 185.69/30.13  | | | | | | | | | |            #1259.
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | |   (277)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | BETA: splitting (75) gives:
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | |   (278)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 185.69/30.13  | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | BETA: splitting (278) gives:
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | |   (279)  all_56_9 = e2 & op(e3, e0) = e2
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | ALPHA: (279) implies:
% 185.69/30.13  | | | | | | | | | | | |   (280)  all_56_9 = e2
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | BETA: splitting (57) gives:
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | |   (281)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 185.69/30.13  | | | | | | | | | | | | |            & op(e3, e2) = e1)
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | REF_CLOSE: (8), (9), (13), (19), (22), (31), (34), (35),
% 185.69/30.13  | | | | | | | | | | | | |            (48), (56), (65), (66), (69), (73), (77), (82),
% 185.69/30.13  | | | | | | | | | | | | |            (83), (90), (92), (94), (280), (281) are
% 185.69/30.13  | | | | | | | | | | | | |            inconsistent by sub-proof #744.
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | |   (282)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 185.69/30.13  | | | | | | | | | | | | |            & op(e3, e0) = e1)
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | BETA: splitting (282) gives:
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | |   (283)  all_56_4 = e1 & op(e3, e1) = e1
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | ALPHA: (283) implies:
% 185.69/30.13  | | | | | | | | | | | | | |   (284)  op(e3, e1) = e1
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | REF_CLOSE: (2), (48), (82), (101), (102), (120), (277), (284)
% 185.69/30.13  | | | | | | | | | | | | | |            are inconsistent by sub-proof #1257.
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | |   (285)  all_56_9 = e1 & op(e3, e0) = e1
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | ALPHA: (285) implies:
% 185.69/30.13  | | | | | | | | | | | | | |   (286)  all_56_9 = e1
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | REF_CLOSE: (94), (280), (286) are inconsistent by sub-proof
% 185.69/30.13  | | | | | | | | | | | | | |            #1503.
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | |   (287)  all_56_10 = e2 & op(e2, e0) = e2
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | ALPHA: (287) implies:
% 185.69/30.13  | | | | | | | | | | | |   (288)  all_56_10 = e2
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | REF_CLOSE: (77), (275), (288) are inconsistent by sub-proof
% 185.69/30.13  | | | | | | | | | | | |            #958.
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | |   (289)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 185.69/30.13  | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | REF_CLOSE: (3), (5), (13), (19), (27), (31), (35), (37),
% 185.69/30.13  | | | | | | | | | | |            (48), (77), (89), (93), (94), (289) are
% 185.69/30.13  | | | | | | | | | | |            inconsistent by sub-proof #885.
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | 
% 185.69/30.13  | | | | | | | End of split
% 185.69/30.13  | | | | | | | 
% 185.69/30.13  | | | | | | Case 2:
% 185.69/30.13  | | | | | | | 
% 185.69/30.13  | | | | | | |   (290)   ~ (all_54_6 = e3)
% 185.69/30.13  | | | | | | |   (291)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 185.69/30.13  | | | | | | | 
% 185.69/30.13  | | | | | | | REDUCE: (1), (290) imply:
% 185.69/30.13  | | | | | | |   (292)   ~ (all_52_9 = e3)
% 185.69/30.13  | | | | | | | 
% 185.69/30.13  | | | | | | | BETA: splitting (84) gives:
% 185.69/30.13  | | | | | | | 
% 185.69/30.13  | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | 
% 185.69/30.13  | | | | | | | |   (293)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 &
% 185.69/30.13  | | | | | | | |            op(e2, e2) = e3)
% 185.69/30.13  | | | | | | | | 
% 185.69/30.13  | | | | | | | | BETA: splitting (293) gives:
% 185.69/30.13  | | | | | | | | 
% 185.69/30.13  | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | |   (294)  all_56_2 = e3 & op(e2, e3) = e3
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | ALPHA: (294) implies:
% 185.69/30.13  | | | | | | | | |   (295)  all_56_2 = e3
% 185.69/30.13  | | | | | | | | |   (296)  op(e2, e3) = e3
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | BETA: splitting (291) gives:
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | |   (297)  all_54_6 = e2
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | REF_CLOSE: (1), (67), (297) are inconsistent by sub-proof
% 185.69/30.13  | | | | | | | | | |            #1241.
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | |   (298)   ~ (all_54_6 = e2)
% 185.69/30.13  | | | | | | | | | |   (299)  all_54_6 = e1 | all_54_6 = e0
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | BETA: splitting (25) gives:
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | |   (300)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 185.69/30.13  | | | | | | | | | | |            & op(e2, e3) = e1)
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | REF_CLOSE: (35), (43), (48), (60), (92), (300) are
% 185.69/30.13  | | | | | | | | | | |            inconsistent by sub-proof #1094.
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | |   (301)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 185.69/30.13  | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | BETA: splitting (301) gives:
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | |   (302)  all_56_6 = e1 & op(e1, e3) = e1
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | ALPHA: (302) implies:
% 185.69/30.13  | | | | | | | | | | | |   (303)  op(e1, e3) = e1
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | REF_CLOSE: (1), (3), (8), (10), (11), (35), (37), (43), (48),
% 185.69/30.13  | | | | | | | | | | | |            (49), (67), (70), (77), (82), (83), (87), (93),
% 185.69/30.13  | | | | | | | | | | | |            (94), (95), (98), (99), (104), (105), (127),
% 185.69/30.13  | | | | | | | | | | | |            (292), (299), (303) are inconsistent by sub-proof
% 185.69/30.13  | | | | | | | | | | | |            #925.
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | |   (304)  all_56_12 = e1 & op(e0, e3) = e1
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | ALPHA: (304) implies:
% 185.69/30.13  | | | | | | | | | | | |   (305)  all_56_12 = e1
% 185.69/30.13  | | | | | | | | | | | |   (306)  op(e0, e3) = e1
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | REF_CLOSE: (8), (13), (19), (24), (31), (48), (77), (83),
% 185.69/30.13  | | | | | | | | | | | |            (92), (94), (104), (295), (296), (305), (306) are
% 185.69/30.13  | | | | | | | | | | | |            inconsistent by sub-proof #1588.
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | |   (307)  all_56_3 = e3 & op(e2, e2) = e3
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | ALPHA: (307) implies:
% 185.69/30.13  | | | | | | | | |   (308)  op(e2, e2) = e3
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | REF_CLOSE: (35), (48), (66), (308) are inconsistent by
% 185.69/30.13  | | | | | | | | |            sub-proof #1347.
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | 
% 185.69/30.13  | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | 
% 185.69/30.13  | | | | | | | |   (309)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 185.69/30.13  | | | | | | | |            op(e2, e0) = e3)
% 185.69/30.13  | | | | | | | | 
% 185.69/30.13  | | | | | | | | BETA: splitting (309) gives:
% 185.69/30.13  | | | | | | | | 
% 185.69/30.13  | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | |   (310)  all_56_5 = e3 & op(e2, e1) = e3
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | ALPHA: (310) implies:
% 185.69/30.13  | | | | | | | | |   (311)  op(e2, e1) = e3
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | REF_CLOSE: (26), (48), (292), (311) are inconsistent by
% 185.69/30.13  | | | | | | | | |            sub-proof #1449.
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | |   (312)  all_56_10 = e3 & op(e2, e0) = e3
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | ALPHA: (312) implies:
% 185.69/30.13  | | | | | | | | |   (313)  all_56_10 = e3
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | BETA: splitting (75) gives:
% 185.69/30.13  | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | |   (314)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2
% 185.69/30.13  | | | | | | | | | |            & op(e2, e0) = e2)
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | BETA: splitting (314) gives:
% 185.69/30.13  | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | |   (315)  all_56_9 = e2 & op(e3, e0) = e2
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | ALPHA: (315) implies:
% 185.69/30.13  | | | | | | | | | | |   (316)  all_56_9 = e2
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | BETA: splitting (57) gives:
% 185.69/30.13  | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | |   (317)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 185.69/30.13  | | | | | | | | | | | |            & op(e3, e2) = e1)
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | REF_CLOSE: (8), (9), (13), (19), (22), (31), (34), (35),
% 185.69/30.13  | | | | | | | | | | | |            (48), (56), (65), (66), (69), (73), (77), (82),
% 185.69/30.13  | | | | | | | | | | | |            (83), (90), (92), (94), (316), (317) are
% 185.69/30.13  | | | | | | | | | | | |            inconsistent by sub-proof #744.
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | |   (318)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 185.69/30.13  | | | | | | | | | | | |            & op(e3, e0) = e1)
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | BETA: splitting (318) gives:
% 185.69/30.13  | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | |   (319)  all_56_4 = e1 & op(e3, e1) = e1
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | ALPHA: (319) implies:
% 185.69/30.13  | | | | | | | | | | | | |   (320)  all_56_4 = e1
% 185.69/30.13  | | | | | | | | | | | | |   (321)  op(e3, e1) = e1
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | BETA: splitting (11) gives:
% 185.69/30.13  | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | |   (322)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 185.69/30.13  | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | |   (323)  all_56_4 = e3 & op(e3, e1) = e3
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | ALPHA: (323) implies:
% 185.69/30.13  | | | | | | | | | | | | | | |   (324)  all_56_4 = e3
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | COMBINE_EQS: (320), (324) imply:
% 185.69/30.13  | | | | | | | | | | | | | | |   (325)  e3 = e1
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | SIMP: (325) implies:
% 185.69/30.13  | | | | | | | | | | | | | | |   (326)  e3 = e1
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | COMBINE_EQS: (313), (326) imply:
% 185.69/30.13  | | | | | | | | | | | | | | |   (327)  all_56_10 = e1
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (10), (11), (13), (19), (22), (24),
% 185.69/30.13  | | | | | | | | | | | | | | |            (31), (32), (34), (35), (48), (49), (56), (57),
% 185.69/30.13  | | | | | | | | | | | | | | |            (62), (65), (66), (69), (70), (73), (77), (82),
% 185.69/30.13  | | | | | | | | | | | | | | |            (83), (84), (90), (93), (94), (103), (104), (105),
% 185.69/30.13  | | | | | | | | | | | | | | |            (316), (327) are inconsistent by sub-proof #766.
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | |   (328)  all_56_5 = e3 & op(e2, e1) = e3
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | ALPHA: (328) implies:
% 185.69/30.13  | | | | | | | | | | | | | | |   (329)  op(e2, e1) = e3
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | REF_CLOSE: (26), (48), (292), (329) are inconsistent by
% 185.69/30.13  | | | | | | | | | | | | | | |            sub-proof #1449.
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | |   (330)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 185.69/30.13  | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 185.69/30.13  | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | |   (331)  all_56_8 = e3 & op(e1, e1) = e3
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | ALPHA: (331) implies:
% 185.69/30.13  | | | | | | | | | | | | | | |   (332)  op(e1, e1) = e3
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | REF_CLOSE: (48), (77), (93), (332) are inconsistent by
% 185.69/30.13  | | | | | | | | | | | | | | |            sub-proof #1164.
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | |   (333)  all_56_14 = e3 & op(e0, e1) = e3
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | ALPHA: (333) implies:
% 185.69/30.13  | | | | | | | | | | | | | | |   (334)  all_56_14 = e3
% 185.69/30.13  | | | | | | | | | | | | | | |   (335)  op(e0, e1) = e3
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | |   (336)  all_54_6 = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (67), (336) are inconsistent by sub-proof
% 185.69/30.13  | | | | | | | | | | | | | | | |            #1241.
% 185.69/30.13  | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | |   (337)   ~ (all_54_6 = e2)
% 185.69/30.13  | | | | | | | | | | | | | | | |   (338)  all_54_6 = e1 | all_54_6 = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | |   (339)  all_54_6 = e1
% 185.69/30.13  | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (98), (339) are inconsistent by sub-proof
% 185.69/30.13  | | | | | | | | | | | | | | | | |            #940.
% 185.69/30.13  | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | |   (340)  all_54_6 = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | COMBINE_EQS: (1), (340) imply:
% 185.69/30.13  | | | | | | | | | | | | | | | | |   (341)  all_52_9 = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | SIMP: (341) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | |   (342)  all_52_9 = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | REDUCE: (99), (342) imply:
% 185.69/30.13  | | | | | | | | | | | | | | | | |   (343)   ~ (all_52_1 = e0)
% 185.69/30.13  | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | REDUCE: (38), (342) imply:
% 185.69/30.13  | | | | | | | | | | | | | | | | |   (344)   ~ (all_52_13 = e0)
% 185.69/30.13  | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | BETA: splitting (22) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | |   (345)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | |   (346)  all_56_0 = e0 & op(e3, e3) = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | ALPHA: (346) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | |   (347)  op(e3, e3) = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (48), (83), (347) are inconsistent by
% 185.69/30.13  | | | | | | | | | | | | | | | | | | |            sub-proof #1624.
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | |   (348)  all_56_1 = e0 & op(e3, e2) = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | ALPHA: (348) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | |   (349)  all_56_1 = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | BETA: splitting (20) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | |   (350)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | |   (351)  all_56_9 = e1 & op(e3, e0) = e1
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (316), (351) are inconsistent by sub-proof
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | |            #1565.
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | |   (352)  all_56_10 = e1 & op(e2, e0) = e1
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | ALPHA: (352) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | |   (353)  all_56_10 = e1
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (10), (11), (13), (19), (24), (31),
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | |            (32), (34), (35), (48), (49), (56), (62), (65),
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | |            (66), (70), (77), (83), (84), (90), (93), (94),
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | |            (104), (105), (316), (320), (349), (353) are
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #768.
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | |   (354)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | BETA: splitting (354) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | |   (355)  all_56_11 = e1 & op(e1, e0) = e1
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | ALPHA: (355) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | |   (356)  all_56_11 = e1
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | |   (357)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (357) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | |   (358)  all_56_12 = e1 & op(e0, e3) = e1
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (358) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | |   (359)  all_56_12 = e1
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | |   (360)  op(e0, e3) = e1
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | |   (361)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  all_56_0 = e2 & op(e3, e3) = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (362) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  op(e3, e3) = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13), (19), (22), (31), (35), (48), (65),
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (83), (316), (320), (321), (363) are
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1566.
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_56_2 = e2 & op(e2, e3) = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (364) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  all_56_2 = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  op(e2, e3) = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  all_54_4 = e3
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (45), (367) are inconsistent by sub-proof
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1078.
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_56_1 = e2 & op(e3, e2) = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (370) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  op(e3, e2) = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (36), (48), (77), (86), (94), (95), (97),
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (129), (334), (359), (371) are inconsistent by
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1340.
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  all_56_3 = e2 & op(e2, e2) = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (372) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  op(e2, e2) = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (66), (94), (373) are inconsistent by
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1487.
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  all_56_7 = e2 & op(e1, e2) = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (375) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  op(e1, e2) = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (56), (90), (376) are inconsistent by
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1614.
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  all_56_13 = e2 & op(e0, e2) = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (377) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  all_56_13 = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  op(e0, e2) = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (8), (9), (10), (11), (13), (19), (20),
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (22), (24), (25), (27), (31), (32), (34), (35),
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (36), (37), (43), (48), (49), (56), (57), (60),
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (62), (65), (66), (69), (70), (73), (75), (77),
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (82), (83), (84), (86), (89), (90), (92), (93),
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (94), (97), (103), (104), (105), (378), (379),
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (380) are inconsistent by sub-proof #741.
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  all_56_7 = e3 & op(e1, e2) = e3
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (382) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  all_56_7 = e3
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (384) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  all_56_6 = e0 & op(e1, e3) = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (385) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  all_56_6 = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  op(e1, e3) = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e0)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (31), (48), (66), (366), (388) are
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1309.
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e0) = e0)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  all_56_5 = e0 & op(e2, e1) = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (390) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  all_56_5 = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  all_54_4 = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (392) imply:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  all_52_1 = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (393) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  all_52_1 = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (394) imply:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)   ~ (all_52_13 = e2)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (395) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)   ~ (all_52_13 = e2)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (81) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)  all_54_7 = e3
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (54), (397) imply:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  all_52_13 = e3
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (398) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  all_52_13 = e3
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (399) imply:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)   ~ (all_52_14 = e3)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (400) implies:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)   ~ (all_52_14 = e3)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (399) imply:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)  op(e2, e0) = e3
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (41) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  all_54_11 = e3
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (401), (403) are inconsistent by sub-proof
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1336.
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)   ~ (all_54_11 = e3)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  all_54_11 = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (406) imply:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)  all_52_14 = e2
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (407) imply:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)  $false
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (408) is inconsistent.
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)  all_54_11 = e1 | all_54_11 = e0
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (410) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (411) gives:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (412) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (413)   ~ (all_57_28 = e2)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (414)  op(e3, e2) = e3
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (415)  op(e3, e3) = all_57_28
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (18), (46), (47), (48), (72), (78), (83),
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (86), (88), (360), (387), (413), (414), (415) are
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1284.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (416)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (416) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (417)  op(e1, e3) = e3
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13), (19), (31), (48), (83), (104), (360),
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (365), (417) are inconsistent by sub-proof #1224.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (418)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (46), (48), (86), (97), (360), (379),
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (418) are inconsistent by sub-proof #740.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (419)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (419) gives:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (420)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (420) gives:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_19) = all_57_4 & op(e2, all_57_21) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (421) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (422)  op(e1, e2) = e2
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (56), (90), (422) are inconsistent by
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1614.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (423)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_19) = all_57_4 & op(e2, all_57_20) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (423) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (424)  op(e2, e0) = e2
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (48), (59), (66), (77), (84), (123), (313),
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (365), (391), (401), (402), (409), (424) are
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1328.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (425)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (425) gives:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (426)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (426) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (427)  op(e1, e3) = e1
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (48), (387), (427) are inconsistent by
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1251.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (428)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (428) gives:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (429)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (429) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (430)  op(e2, e1) = e1
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (48), (98), (430) are inconsistent by
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1610.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (431)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0))))
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (431) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (432)  op(e0, e1) = all_57_27
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (433)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (433) gives:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (434)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22) = all_57_8 & op(e1, all_57_23) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (434) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (435)  all_57_27 = e1
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (432), (435) imply:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (436)  op(e0, e1) = e1
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (48) with e1, e3, e1, e0,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (335), (436) gives:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (437)  e3 = e1
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (437) imply:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (438)  all_56_0 = e1
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (35), (40), (46), (48), (77), (360), (365),
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (386), (438) are inconsistent by sub-proof #738.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (439)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25) = all_57_12 & op(e0, all_57_26) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_25 = e0 & op(e3, e0) = e0) |
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0))
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (439) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (440)   ~ (all_57_15 = e0)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (441)  op(e0, e0) = all_57_31
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (442)  op(e0, e3) = all_57_25
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (443)  op(e0, all_57_31) = all_57_15
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (444)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_27 = e0 & op(e1, e0) = e0)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (48), (74), (122), (123), (360),
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (440), (441), (442), (443), (444) are inconsistent
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1316.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (445)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (54), (122), (396), (445) are inconsistent
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #944.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (446)  all_54_4 = e1 | all_54_4 = e0
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (60), (343), (446) are inconsistent by
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #737.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (447)  all_56_10 = e0 & op(e2, e0) = e0
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (447) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (448)  op(e2, e0) = e0
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (74), (122), (448) are inconsistent by
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1504.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (449)  all_56_7 = e0 & op(e1, e2) = e0
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (383), (449) are inconsistent by sub-proof
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #967.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (450)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (451)  all_56_8 = e0 & op(e1, e1) = e0
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (451) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (452)  op(e1, e1) = e0
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (48), (93), (452) are inconsistent by
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1230.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (453)  all_56_11 = e0 & op(e1, e0) = e0
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (453) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (454)  all_56_11 = e0
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (9), (10), (11), (13), (19), (20), (22),
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (24), (31), (32), (34), (35), (37), (48), (49),
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (56), (57), (62), (65), (66), (69), (70), (73),
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (75), (77), (82), (83), (84), (90), (93), (94),
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (103), (104), (105), (313), (316), (454) are
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #735.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (455)  all_56_13 = e3 & op(e0, e2) = e3
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (455) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (456)  all_56_13 = e3
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (456) imply:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (457)  e3 = e2
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (457) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (458)  e3 = e2
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (458) imply:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (459)  all_56_10 = e2
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (19), (31), (32), (35), (48), (66), (77),
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (84), (365), (366), (459) are inconsistent by
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #734.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | |   (460)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (460) gives:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (461)  all_56_6 = e2 & op(e1, e3) = e2
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (461) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (462)  all_56_6 = e2
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13), (19), (27), (31), (35), (48), (77),
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | |            (89), (93), (94), (356), (462) are inconsistent by
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #965.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (463)  all_56_12 = e2 & op(e0, e3) = e2
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (463) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | |   (464)  all_56_12 = e2
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (37), (48), (75), (77), (94), (313), (316),
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | |            (356), (359), (464) are inconsistent by sub-proof
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | |            #953.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (465)  all_56_13 = e1 & op(e0, e2) = e1
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (465) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (466)  all_56_13 = e1
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (34), (48), (56), (66), (90), (94), (349),
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | |            (466) are inconsistent by sub-proof #1245.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | |   (467)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (467) gives:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (468)  all_56_14 = e1 & op(e0, e1) = e1
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (468) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (469)  all_56_14 = e1
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (469) imply:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (470)  e3 = e1
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (470) imply:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (471)  all_56_10 = e1
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (19), (31), (35), (48), (74), (77), (80),
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | |            (100), (122), (316), (356), (471) are inconsistent
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1205.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (472)  all_56_15 = e1 & op(e0, e0) = e1
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (472) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | |   (473)  op(e0, e0) = e1
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (48), (473) are inconsistent by
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1516.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | |   (474)  all_56_15 = e1 & op(e0, e0) = e1
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | ALPHA: (474) implies:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | |   (475)  op(e0, e0) = e1
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (48), (475) are inconsistent by
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1516.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | |   (476)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 185.69/30.14  | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 185.69/30.14  | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (31), (48), (316), (321), (476) are
% 185.69/30.14  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1569.
% 185.69/30.14  | | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | |   (477)  all_56_9 = e1 & op(e3, e0) = e1
% 185.69/30.14  | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | ALPHA: (477) implies:
% 185.69/30.14  | | | | | | | | | | | | |   (478)  all_56_9 = e1
% 185.69/30.14  | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | REF_CLOSE: (94), (316), (478) are inconsistent by sub-proof
% 185.69/30.14  | | | | | | | | | | | | |            #1503.
% 185.69/30.14  | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | |   (479)  all_56_10 = e2 & op(e2, e0) = e2
% 185.69/30.14  | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | ALPHA: (479) implies:
% 185.69/30.14  | | | | | | | | | | |   (480)  all_56_10 = e2
% 185.69/30.14  | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | REF_CLOSE: (77), (313), (480) are inconsistent by sub-proof
% 185.69/30.14  | | | | | | | | | | |            #958.
% 185.69/30.14  | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | |   (481)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 185.69/30.14  | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | REF_CLOSE: (3), (5), (13), (19), (27), (31), (35), (37),
% 185.69/30.14  | | | | | | | | | |            (48), (77), (89), (93), (94), (481) are
% 185.69/30.14  | | | | | | | | | |            inconsistent by sub-proof #885.
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | 
% 185.69/30.14  | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | 
% 185.69/30.14  | | | | | | | End of split
% 185.69/30.14  | | | | | | | 
% 185.69/30.14  | | | | | | End of split
% 185.69/30.14  | | | | | | 
% 185.69/30.14  | | | | | Case 2:
% 185.69/30.14  | | | | | | 
% 185.69/30.14  | | | | | |   (482)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 185.69/30.14  | | | | | |              op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0))
% 185.69/30.14  | | | | | |          & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.69/30.14  | | | | | |              op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 185.69/30.14  | | | | | | 
% 185.69/30.14  | | | | | | ALPHA: (482) implies:
% 185.69/30.14  | | | | | |   (483)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.69/30.14  | | | | | |            op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.14  | | | | | |   (484)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 185.69/30.14  | | | | | |            op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.69/30.14  | | | | | | 
% 185.69/30.14  | | | | | | BETA: splitting (11) gives:
% 185.69/30.14  | | | | | | 
% 185.69/30.14  | | | | | | Case 1:
% 185.69/30.14  | | | | | | | 
% 185.69/30.14  | | | | | | |   (485)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 &
% 185.69/30.14  | | | | | | |            op(e2, e1) = e3)
% 185.69/30.14  | | | | | | | 
% 185.69/30.14  | | | | | | | BETA: splitting (485) gives:
% 185.69/30.14  | | | | | | | 
% 185.69/30.14  | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | 
% 185.69/30.14  | | | | | | | |   (486)  all_56_4 = e3 & op(e3, e1) = e3
% 185.69/30.14  | | | | | | | | 
% 185.69/30.14  | | | | | | | | ALPHA: (486) implies:
% 185.69/30.14  | | | | | | | |   (487)  all_56_4 = e3
% 185.69/30.14  | | | | | | | | 
% 185.69/30.14  | | | | | | | | BETA: splitting (57) gives:
% 185.69/30.14  | | | | | | | | 
% 185.69/30.14  | | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | | 
% 185.69/30.14  | | | | | | | | |   (488)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 &
% 185.69/30.14  | | | | | | | | |            op(e3, e2) = e1)
% 185.69/30.14  | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | BETA: splitting (488) gives:
% 185.69/30.14  | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | |   (489)  all_56_0 = e1 & op(e3, e3) = e1
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | ALPHA: (489) implies:
% 185.69/30.14  | | | | | | | | | |   (490)  op(e3, e3) = e1
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | REF_CLOSE: (35), (48), (92), (490) are inconsistent by
% 185.69/30.14  | | | | | | | | | |            sub-proof #1600.
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | |   (491)  all_56_1 = e1 & op(e3, e2) = e1
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | ALPHA: (491) implies:
% 185.69/30.14  | | | | | | | | | |   (492)  all_56_1 = e1
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | REF_CLOSE: (8), (9), (13), (19), (22), (31), (34), (35),
% 185.69/30.14  | | | | | | | | | |            (48), (56), (65), (66), (69), (73), (77), (82),
% 185.69/30.14  | | | | | | | | | |            (83), (90), (92), (94), (487), (492) are
% 185.69/30.14  | | | | | | | | | |            inconsistent by sub-proof #732.
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | 
% 185.69/30.14  | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | 
% 185.69/30.14  | | | | | | | | |   (493)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 &
% 185.69/30.14  | | | | | | | | |            op(e3, e0) = e1)
% 185.69/30.14  | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | BETA: splitting (493) gives:
% 185.69/30.14  | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | |   (494)  all_56_4 = e1 & op(e3, e1) = e1
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | REF_CLOSE: (35), (487), (494) are inconsistent by sub-proof
% 185.69/30.14  | | | | | | | | | |            #731.
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | |   (495)  all_56_9 = e1 & op(e3, e0) = e1
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | ALPHA: (495) implies:
% 185.69/30.14  | | | | | | | | | |   (496)  all_56_9 = e1
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | REF_CLOSE: (13), (15), (48), (74), (122), (123), (484), (496)
% 185.69/30.14  | | | | | | | | | |            are inconsistent by sub-proof #1303.
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | 
% 185.69/30.14  | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | 
% 185.69/30.14  | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | 
% 185.69/30.14  | | | | | | | |   (497)  all_56_5 = e3 & op(e2, e1) = e3
% 185.69/30.14  | | | | | | | | 
% 185.69/30.14  | | | | | | | | ALPHA: (497) implies:
% 185.69/30.14  | | | | | | | |   (498)  all_56_5 = e3
% 185.69/30.14  | | | | | | | |   (499)  op(e2, e1) = e3
% 185.69/30.14  | | | | | | | | 
% 185.69/30.14  | | | | | | | | BETA: splitting (32) gives:
% 185.69/30.14  | | | | | | | | 
% 185.69/30.14  | | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | | 
% 185.69/30.14  | | | | | | | | |   (500)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 &
% 185.69/30.14  | | | | | | | | |            op(e2, e2) = e0)
% 185.69/30.14  | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | BETA: splitting (500) gives:
% 185.69/30.14  | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | |   (501)  all_56_2 = e0 & op(e2, e3) = e0
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | ALPHA: (501) implies:
% 185.69/30.14  | | | | | | | | | |   (502)  op(e2, e3) = e0
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | BETA: splitting (62) gives:
% 185.69/30.14  | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | |   (503)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 185.69/30.14  | | | | | | | | | | |            & op(e2, e2) = e2)
% 185.69/30.14  | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | BETA: splitting (503) gives:
% 185.69/30.14  | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | |   (504)  all_56_2 = e2 & op(e2, e3) = e2
% 185.69/30.14  | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | ALPHA: (504) implies:
% 185.69/30.14  | | | | | | | | | | | |   (505)  op(e2, e3) = e2
% 185.69/30.14  | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | REF_CLOSE: (31), (48), (502), (505) are inconsistent by
% 185.69/30.14  | | | | | | | | | | | |            sub-proof #1412.
% 185.69/30.14  | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | |   (506)  all_56_3 = e2 & op(e2, e2) = e2
% 185.69/30.14  | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | ALPHA: (506) implies:
% 185.69/30.14  | | | | | | | | | | | |   (507)  op(e2, e2) = e2
% 185.69/30.14  | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | REF_CLOSE: (48), (66), (94), (507) are inconsistent by
% 185.69/30.14  | | | | | | | | | | | |            sub-proof #1487.
% 185.69/30.14  | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | End of split
% 185.69/30.14  | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | |   (508)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 185.69/30.14  | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 185.69/30.14  | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | BETA: splitting (508) gives:
% 185.69/30.14  | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | |   (509)  all_56_5 = e2 & op(e2, e1) = e2
% 185.69/30.14  | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | ALPHA: (509) implies:
% 185.69/30.14  | | | | | | | | | | | |   (510)  op(e2, e1) = e2
% 185.69/30.14  | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | REF_CLOSE: (48), (77), (499), (510) are inconsistent by
% 185.69/30.14  | | | | | | | | | | | |            sub-proof #1297.
% 185.69/30.14  | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | |   (511)  all_56_10 = e2 & op(e2, e0) = e2
% 185.69/30.14  | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | ALPHA: (511) implies:
% 185.69/30.14  | | | | | | | | | | | |   (512)  all_56_10 = e2
% 185.69/30.14  | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | BETA: splitting (24) gives:
% 185.69/30.14  | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | |   (513)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 185.69/30.14  | | | | | | | | | | | | |            & op(e2, e3) = e2)
% 185.69/30.14  | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | BETA: splitting (513) gives:
% 185.69/30.14  | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | Case 1:
% 185.69/30.14  | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | |   (514)  all_56_0 = e2 & op(e3, e3) = e2
% 185.69/30.14  | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | ALPHA: (514) implies:
% 185.69/30.14  | | | | | | | | | | | | | |   (515)  op(e3, e3) = e2
% 185.69/30.14  | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | REF_CLOSE: (48), (77), (92), (515) are inconsistent by
% 185.69/30.14  | | | | | | | | | | | | | |            sub-proof #1594.
% 185.69/30.14  | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | Case 2:
% 185.69/30.14  | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | |   (516)  all_56_2 = e2 & op(e2, e3) = e2
% 185.69/30.14  | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | ALPHA: (516) implies:
% 185.69/30.14  | | | | | | | | | | | | | |   (517)  all_56_2 = e2
% 185.69/30.14  | | | | | | | | | | | | | |   (518)  op(e2, e3) = e2
% 185.69/30.14  | | | | | | | | | | | | | | 
% 185.69/30.14  | | | | | | | | | | | | | | REF_CLOSE: (13), (19), (31), (32), (35), (48), (66), (77),
% 185.69/30.14  | | | | | | | | | | | | | |            (84), (512), (517), (518) are inconsistent by
% 185.69/30.15  | | | | | | | | | | | | | |            sub-proof #734.
% 185.69/30.15  | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | |   (519)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 185.69/30.15  | | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 185.69/30.15  | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | BETA: splitting (519) gives:
% 185.69/30.15  | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | |   (520)  all_56_6 = e2 & op(e1, e3) = e2
% 185.69/30.15  | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | ALPHA: (520) implies:
% 185.69/30.15  | | | | | | | | | | | | | |   (521)  all_56_6 = e2
% 185.69/30.15  | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | BETA: splitting (80) gives:
% 185.69/30.15  | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | |   (522)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 185.69/30.15  | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 185.69/30.15  | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | REF_CLOSE: (15), (19), (48), (74), (77), (122), (123), (484),
% 185.69/30.15  | | | | | | | | | | | | | | |            (512), (522) are inconsistent by sub-proof #729.
% 185.69/30.15  | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | |   (523)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 185.69/30.15  | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 185.69/30.15  | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | BETA: splitting (523) gives:
% 185.69/30.15  | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | |   (524)  all_56_11 = e3 & op(e1, e0) = e3
% 185.69/30.15  | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | ALPHA: (524) implies:
% 185.69/30.15  | | | | | | | | | | | | | | | |   (525)  all_56_11 = e3
% 185.69/30.15  | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 185.69/30.15  | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | |   (526)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 185.69/30.15  | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 185.69/30.15  | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | BETA: splitting (526) gives:
% 185.69/30.15  | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | |   (527)  all_56_12 = e3 & op(e0, e3) = e3
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | ALPHA: (527) implies:
% 185.69/30.15  | | | | | | | | | | | | | | | | | |   (528)  all_56_12 = e3
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | BETA: splitting (95) gives:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | |   (529)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 185.69/30.15  | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | BETA: splitting (529) gives:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |   (530)  all_56_12 = e2 & op(e0, e3) = e2
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | ALPHA: (530) implies:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |   (531)  all_56_12 = e2
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (531) imply:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |   (532)  e3 = e2
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (532) imply:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |   (533)  all_56_11 = e2
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13), (19), (27), (31), (35), (48), (77),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |            (89), (93), (94), (533) are inconsistent by
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |            sub-proof #886.
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |   (534)  all_56_13 = e2 & op(e0, e2) = e2
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (8), (9), (10), (11), (13), (19), (22),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |            (24), (27), (31), (32), (34), (35), (37), (48),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |            (49), (56), (57), (62), (65), (66), (69), (70),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |            (73), (75), (77), (82), (83), (84), (89), (90),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |            (93), (94), (103), (104), (105), (512), (521),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |            (534) are inconsistent by sub-proof #728.
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | |   (535)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 185.69/30.15  | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (13), (19), (31), (35), (37), (48), (49),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | |            (93), (94), (105), (498), (499), (535) are
% 185.69/30.15  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #727.
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | |   (536)  all_56_13 = e3 & op(e0, e2) = e3
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | ALPHA: (536) implies:
% 185.69/30.15  | | | | | | | | | | | | | | | | | |   (537)  all_56_13 = e3
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | BETA: splitting (95) gives:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | |   (538)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 185.69/30.15  | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | BETA: splitting (538) gives:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |   (539)  all_56_12 = e2 & op(e0, e3) = e2
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | ALPHA: (539) implies:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |   (540)  all_56_12 = e2
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | |   (541)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (541) gives:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | |   (542)  all_56_12 = e1 & op(e0, e3) = e1
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (8), (9), (10), (11), (13), (19), (22),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | |            (24), (27), (31), (32), (34), (35), (37), (48),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | |            (49), (56), (57), (62), (65), (66), (69), (70),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | |            (73), (75), (77), (82), (83), (84), (89), (90),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | |            (93), (94), (103), (104), (105), (512), (540),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | |            (542) are inconsistent by sub-proof #726.
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | |   (543)  all_56_13 = e1 & op(e0, e2) = e1
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (543) implies:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | |   (544)  all_56_13 = e1
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (537), (544) imply:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | |   (545)  e3 = e1
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | | SIMP: (545) implies:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | |   (546)  e3 = e1
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (546) imply:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | |   (547)  all_56_11 = e1
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13), (19), (27), (31), (35), (48), (77),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | |            (89), (93), (94), (521), (547) are inconsistent by
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #965.
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | |   (548)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (13), (31), (48), (97), (119), (483),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | |            (540), (548) are inconsistent by sub-proof #725.
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |   (549)  all_56_13 = e2 & op(e0, e2) = e2
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (8), (9), (10), (11), (13), (19), (22),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |            (24), (27), (31), (32), (34), (35), (37), (48),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |            (49), (56), (57), (62), (65), (66), (69), (70),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |            (73), (75), (77), (82), (83), (84), (89), (90),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |            (93), (94), (103), (104), (105), (512), (521),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |            (549) are inconsistent by sub-proof #728.
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | |   (550)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 185.69/30.15  | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2)
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (13), (19), (31), (35), (37), (48), (49),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | |            (93), (94), (105), (498), (499), (550) are
% 185.69/30.15  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #727.
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | |   (551)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 185.69/30.15  | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 185.69/30.15  | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (13), (19), (31), (35), (37), (48),
% 185.69/30.15  | | | | | | | | | | | | | | | | |            (70), (77), (94), (95), (97), (119), (127), (483),
% 185.69/30.15  | | | | | | | | | | | | | | | | |            (551) are inconsistent by sub-proof #1438.
% 185.69/30.15  | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | |   (552)  all_56_15 = e3 & op(e0, e0) = e3
% 185.69/30.15  | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | ALPHA: (552) implies:
% 185.69/30.15  | | | | | | | | | | | | | | | |   (553)  op(e0, e0) = e3
% 185.69/30.15  | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | REF_CLOSE: (19), (48), (127), (553) are inconsistent by
% 185.69/30.15  | | | | | | | | | | | | | | | |            sub-proof #1540.
% 185.69/30.15  | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | |   (554)  all_56_12 = e2 & op(e0, e3) = e2
% 185.69/30.15  | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | ALPHA: (554) implies:
% 185.69/30.15  | | | | | | | | | | | | | |   (555)  all_56_12 = e2
% 185.69/30.15  | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | BETA: splitting (80) gives:
% 185.69/30.15  | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | |   (556)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 185.69/30.15  | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 185.69/30.15  | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | REF_CLOSE: (15), (19), (48), (74), (77), (122), (123), (484),
% 185.69/30.15  | | | | | | | | | | | | | | |            (512), (556) are inconsistent by sub-proof #729.
% 185.69/30.15  | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | |   (557)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 185.69/30.15  | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 185.69/30.15  | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | BETA: splitting (557) gives:
% 185.69/30.15  | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | |   (558)  all_56_11 = e3 & op(e1, e0) = e3
% 185.69/30.15  | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | ALPHA: (558) implies:
% 185.69/30.15  | | | | | | | | | | | | | | | |   (559)  all_56_11 = e3
% 185.69/30.15  | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 185.69/30.15  | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | |   (560)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 185.69/30.15  | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 185.69/30.15  | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | BETA: splitting (560) gives:
% 185.69/30.15  | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | |   (561)  all_56_12 = e3 & op(e0, e3) = e3
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | ALPHA: (561) implies:
% 185.69/30.15  | | | | | | | | | | | | | | | | | |   (562)  all_56_12 = e3
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (555), (562) imply:
% 185.69/30.15  | | | | | | | | | | | | | | | | | |   (563)  e3 = e2
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | SIMP: (563) implies:
% 185.69/30.15  | | | | | | | | | | | | | | | | | |   (564)  e3 = e2
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (559), (564) imply:
% 185.69/30.15  | | | | | | | | | | | | | | | | | |   (565)  all_56_11 = e2
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13), (19), (27), (31), (35), (48), (77),
% 185.69/30.15  | | | | | | | | | | | | | | | | | |            (89), (93), (94), (565) are inconsistent by
% 185.69/30.15  | | | | | | | | | | | | | | | | | |            sub-proof #886.
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | |   (566)  all_56_13 = e3 & op(e0, e2) = e3
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | ALPHA: (566) implies:
% 185.69/30.15  | | | | | | | | | | | | | | | | | |   (567)  all_56_13 = e3
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | |   (568)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 185.69/30.15  | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | BETA: splitting (568) gives:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |   (569)  all_56_12 = e1 & op(e0, e3) = e1
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (8), (9), (10), (11), (13), (19), (22),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |            (24), (27), (31), (32), (34), (35), (37), (48),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |            (49), (56), (57), (62), (65), (66), (69), (70),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |            (73), (75), (77), (82), (83), (84), (89), (90),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |            (93), (94), (103), (104), (105), (512), (555),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |            (569) are inconsistent by sub-proof #726.
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |   (570)  all_56_13 = e1 & op(e0, e2) = e1
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | ALPHA: (570) implies:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |   (571)  all_56_13 = e1
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (567), (571) are inconsistent by sub-proof
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | |            #1357.
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | |   (572)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.69/30.15  | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (13), (31), (48), (97), (119), (483),
% 185.69/30.15  | | | | | | | | | | | | | | | | | | |            (555), (572) are inconsistent by sub-proof #725.
% 185.69/30.15  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | |   (573)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 185.69/30.15  | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 185.69/30.15  | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (13), (19), (31), (35), (37), (48),
% 185.69/30.15  | | | | | | | | | | | | | | | | |            (70), (77), (94), (95), (97), (119), (127), (483),
% 185.69/30.15  | | | | | | | | | | | | | | | | |            (573) are inconsistent by sub-proof #1438.
% 185.69/30.15  | | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | |   (574)  all_56_15 = e3 & op(e0, e0) = e3
% 185.69/30.15  | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | ALPHA: (574) implies:
% 185.69/30.15  | | | | | | | | | | | | | | | |   (575)  op(e0, e0) = e3
% 185.69/30.15  | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | | REF_CLOSE: (19), (48), (127), (575) are inconsistent by
% 185.69/30.15  | | | | | | | | | | | | | | | |            sub-proof #1540.
% 185.69/30.15  | | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | |   (576)  all_56_3 = e0 & op(e2, e2) = e0
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | ALPHA: (576) implies:
% 185.69/30.15  | | | | | | | | | |   (577)  op(e2, e2) = e0
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | REF_CLOSE: (13), (48), (66), (577) are inconsistent by
% 185.69/30.15  | | | | | | | | | |            sub-proof #1310.
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | |   (578)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 &
% 185.69/30.15  | | | | | | | | |            op(e2, e0) = e0)
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | REF_CLOSE: (19), (48), (74), (122), (498), (578) are
% 185.69/30.15  | | | | | | | | |            inconsistent by sub-proof #747.
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | 
% 185.69/30.15  | | | | | | | End of split
% 185.69/30.15  | | | | | | | 
% 185.69/30.15  | | | | | | Case 2:
% 185.69/30.15  | | | | | | | 
% 185.69/30.15  | | | | | | |   (579)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 &
% 185.69/30.15  | | | | | | |            op(e0, e1) = e3)
% 185.69/30.15  | | | | | | | 
% 185.69/30.15  | | | | | | | REF_CLOSE: (3), (10), (13), (19), (31), (35), (37), (48), (70),
% 185.69/30.15  | | | | | | |            (77), (93), (94), (95), (97), (119), (483), (579) are
% 185.69/30.15  | | | | | | |            inconsistent by sub-proof #724.
% 185.69/30.15  | | | | | | | 
% 185.69/30.15  | | | | | | End of split
% 185.69/30.15  | | | | | | 
% 185.69/30.15  | | | | | End of split
% 185.69/30.15  | | | | | 
% 185.69/30.15  | | | | End of split
% 185.69/30.15  | | | | 
% 185.69/30.15  | | | End of split
% 185.69/30.15  | | | 
% 185.69/30.15  | | End of split
% 185.69/30.15  | | 
% 185.69/30.15  | Case 2:
% 185.69/30.15  | | 
% 185.69/30.15  | |   (580)  all_32_2 = e3
% 185.69/30.15  | | 
% 185.69/30.15  | | COMBINE_EQS: (61), (580) imply:
% 185.69/30.15  | |   (581)  all_6_2 = e3
% 185.69/30.15  | | 
% 185.69/30.15  | | SIMP: (581) implies:
% 185.69/30.15  | |   (582)  all_6_2 = e3
% 185.69/30.15  | | 
% 185.69/30.15  | | REDUCE: (3), (582) imply:
% 185.69/30.15  | |   (583)  op(e0, e0) = e3
% 185.69/30.15  | | 
% 185.69/30.15  | | REF_CLOSE: (3), (5), (8), (9), (10), (11), (13), (15), (19), (20), (22),
% 185.69/30.15  | |            (24), (26), (27), (31), (32), (34), (35), (37), (48), (49), (53),
% 185.69/30.15  | |            (56), (57), (62), (63), (65), (66), (67), (69), (70), (73), (75),
% 185.69/30.15  | |            (77), (82), (83), (84), (89), (90), (92), (93), (94), (95), (98),
% 185.69/30.15  | |            (100), (103), (104), (105), (583) are inconsistent by sub-proof
% 185.69/30.15  | |            #721.
% 185.69/30.15  | | 
% 185.69/30.15  | End of split
% 185.69/30.15  | 
% 185.69/30.15  End of proof
% 185.69/30.15  
% 185.69/30.15  Sub-proof #721 shows that the following formulas are inconsistent:
% 185.69/30.15  ----------------------------------------------------------------
% 185.69/30.15    (1)  op(e0, e0) = all_6_2
% 185.69/30.15    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.69/30.15         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.69/30.15    (3)   ~ (all_4_2 = e0)
% 185.69/30.15    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.15         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.69/30.15    (5)   ~ (all_6_2 = e1)
% 185.69/30.15    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.69/30.15         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.69/30.15    (7)   ~ (e1 = e0)
% 185.69/30.15    (8)  op(e1, e0) = all_52_14
% 185.69/30.15    (9)   ~ (e3 = e0)
% 185.69/30.15    (10)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.69/30.15          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.69/30.15    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.69/30.15          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.15    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.69/30.15          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.69/30.15    (13)  op(e2, e1) = all_52_9
% 185.69/30.15    (14)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.69/30.15          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.69/30.15    (15)   ~ (e2 = e0)
% 185.69/30.15    (16)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.15          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.69/30.15    (17)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.15          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.69/30.15    (18)   ~ (e3 = e1)
% 185.69/30.15    (19)   ~ (all_6_2 = e2)
% 185.69/30.15    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.15            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.15    (21)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.69/30.15          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.15    (22)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 185.69/30.15          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 185.69/30.15            e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 & $i(all_57_24))
% 185.69/30.15    (23)   ~ (all_52_6 = e2)
% 185.69/30.15    (24)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.69/30.15          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.69/30.15    (25)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.15          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.69/30.15    (26)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 185.69/30.15          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 185.69/30.15            e0) | ( ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 & $i(all_57_21))
% 185.69/30.15    (27)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.69/30.15          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.69/30.15    (28)  op(e2, e2) = e1
% 185.69/30.15    (29)  op(e0, e0) = e3
% 185.69/30.15    (30)   ~ (all_52_9 = e2)
% 185.69/30.15    (31)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.69/30.15          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.69/30.15    (32)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.69/30.15          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.69/30.15            e1)
% 185.69/30.15    (33)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.15          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.69/30.15    (34)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.69/30.15          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.69/30.15    (35)   ~ (e3 = e2)
% 185.69/30.15    (36)  op(e3, e1) = all_52_8
% 185.69/30.15    (37)  op(e3, e3) = all_4_2
% 185.69/30.15    (38)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.15          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.69/30.15    (39)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.69/30.15          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.69/30.15    (40)  op(e1, e2) = all_52_6
% 185.69/30.15    (41)  op(e3, e3) = e3
% 185.69/30.15    (42)  op(e1, e1) = e2
% 185.69/30.15    (43)   ~ (e2 = e1)
% 185.69/30.15    (44)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.69/30.15          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.69/30.15            e2)
% 185.69/30.15    (45)   ~ (all_52_9 = e1)
% 185.69/30.15    (46)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.15              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.69/30.15                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.69/30.15                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.69/30.15    (47)   ~ (all_4_2 = e1)
% 185.69/30.15    (48)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.69/30.15          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.69/30.15    (49)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.69/30.15          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.69/30.15  
% 185.69/30.15  Begin of proof
% 185.69/30.15  | 
% 185.69/30.15  | BETA: splitting (26) gives:
% 185.69/30.15  | 
% 185.69/30.15  | Case 1:
% 185.69/30.15  | | 
% 185.69/30.15  | |   (50)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) =
% 185.69/30.15  | |           e0)
% 185.69/30.15  | | 
% 185.69/30.15  | | REF_CLOSE: (3), (7), (20), (28), (37), (50) are inconsistent by sub-proof
% 185.69/30.15  | |            #1301.
% 185.69/30.15  | | 
% 185.69/30.15  | Case 2:
% 185.69/30.15  | | 
% 185.69/30.15  | |   (51)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 185.69/30.15  | |           e0) | ( ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 185.69/30.15  | |           $i(all_57_21))
% 185.69/30.15  | | 
% 185.69/30.15  | | BETA: splitting (51) gives:
% 185.69/30.15  | | 
% 185.69/30.15  | | Case 1:
% 185.69/30.15  | | | 
% 185.69/30.15  | | |   (52)  all_57_30 = e0 & op(e1, e1) = e0
% 185.69/30.15  | | | 
% 185.69/30.15  | | | ALPHA: (52) implies:
% 185.69/30.15  | | |   (53)  op(e1, e1) = e0
% 185.69/30.15  | | | 
% 185.69/30.15  | | | REF_CLOSE: (15), (20), (42), (53) are inconsistent by sub-proof #1230.
% 185.69/30.15  | | | 
% 185.69/30.15  | | Case 2:
% 185.69/30.15  | | | 
% 185.69/30.15  | | |   (54)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) & op(e2,
% 185.69/30.15  | | |             e0) = all_57_21 & $i(all_57_21))
% 185.69/30.15  | | | 
% 185.69/30.15  | | | BETA: splitting (54) gives:
% 185.69/30.15  | | | 
% 185.69/30.15  | | | Case 1:
% 185.69/30.15  | | | | 
% 185.69/30.15  | | | |   (55)  all_57_31 = e0 & op(e0, e0) = e0
% 185.69/30.15  | | | | 
% 185.69/30.15  | | | | ALPHA: (55) implies:
% 185.69/30.15  | | | |   (56)  op(e0, e0) = e0
% 185.69/30.15  | | | | 
% 185.69/30.15  | | | | REF_CLOSE: (9), (20), (29), (56) are inconsistent by sub-proof #1540.
% 185.69/30.15  | | | | 
% 185.69/30.15  | | | Case 2:
% 185.69/30.15  | | | | 
% 185.69/30.15  | | | |   (57)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 & $i(all_57_21)
% 185.69/30.15  | | | | 
% 185.69/30.15  | | | | ALPHA: (57) implies:
% 185.69/30.15  | | | |   (58)   ~ (all_57_21 = e2)
% 185.69/30.15  | | | |   (59)  op(e2, e0) = all_57_21
% 185.69/30.15  | | | | 
% 185.69/30.15  | | | | BETA: splitting (38) gives:
% 185.69/30.15  | | | | 
% 185.69/30.15  | | | | Case 1:
% 185.69/30.15  | | | | | 
% 185.69/30.15  | | | | |   (60)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2,
% 185.69/30.15  | | | | |             e2) = e3)
% 185.69/30.15  | | | | | 
% 185.69/30.15  | | | | | BETA: splitting (60) gives:
% 185.69/30.15  | | | | | 
% 185.69/30.15  | | | | | Case 1:
% 185.69/30.15  | | | | | | 
% 185.69/30.15  | | | | | |   (61)  all_56_2 = e3 & op(e2, e3) = e3
% 185.69/30.15  | | | | | | 
% 185.69/30.15  | | | | | | ALPHA: (61) implies:
% 185.69/30.15  | | | | | |   (62)  all_56_2 = e3
% 185.69/30.15  | | | | | | 
% 185.69/30.15  | | | | | | BETA: splitting (6) gives:
% 185.69/30.15  | | | | | | 
% 185.69/30.15  | | | | | | Case 1:
% 185.69/30.15  | | | | | | | 
% 185.69/30.15  | | | | | | |   (63)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 &
% 185.69/30.15  | | | | | | |           op(e2, e1) = e3)
% 185.69/30.15  | | | | | | | 
% 185.69/30.15  | | | | | | | BETA: splitting (63) gives:
% 185.69/30.15  | | | | | | | 
% 185.69/30.15  | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | 
% 185.69/30.15  | | | | | | | |   (64)  all_56_4 = e3 & op(e3, e1) = e3
% 185.69/30.15  | | | | | | | | 
% 185.69/30.15  | | | | | | | | ALPHA: (64) implies:
% 185.69/30.15  | | | | | | | |   (65)  all_56_4 = e3
% 185.69/30.15  | | | | | | | | 
% 185.69/30.15  | | | | | | | | BETA: splitting (25) gives:
% 185.69/30.15  | | | | | | | | 
% 185.69/30.15  | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | |   (66)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 &
% 185.69/30.15  | | | | | | | | |           op(e2, e2) = e2)
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | BETA: splitting (66) gives:
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | |   (67)  all_56_2 = e2 & op(e2, e3) = e2
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | REF_CLOSE: (35), (62), (67) are inconsistent by sub-proof
% 185.69/30.15  | | | | | | | | | |            #1593.
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | |   (68)  all_56_3 = e2 & op(e2, e2) = e2
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | ALPHA: (68) implies:
% 185.69/30.15  | | | | | | | | | |   (69)  op(e2, e2) = e2
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | REF_CLOSE: (20), (28), (43), (69) are inconsistent by
% 185.69/30.15  | | | | | | | | | |            sub-proof #1487.
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | |   (70)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 &
% 185.69/30.15  | | | | | | | | |           op(e2, e0) = e2)
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | BETA: splitting (70) gives:
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | |   (71)  all_56_5 = e2 & op(e2, e1) = e2
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | ALPHA: (71) implies:
% 185.69/30.15  | | | | | | | | | |   (72)  all_56_5 = e2
% 185.69/30.15  | | | | | | | | | |   (73)  op(e2, e1) = e2
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | REF_CLOSE: (6), (7), (9), (15), (18), (20), (21), (35), (42),
% 185.69/30.15  | | | | | | | | | |            (43), (49), (65), (72), (73) are inconsistent by
% 185.69/30.15  | | | | | | | | | |            sub-proof #723.
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | |   (74)  all_56_10 = e2 & op(e2, e0) = e2
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | ALPHA: (74) implies:
% 185.69/30.15  | | | | | | | | | |   (75)  op(e2, e0) = e2
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | REF_CLOSE: (20), (58), (59), (75) are inconsistent by
% 185.69/30.15  | | | | | | | | | |            sub-proof #1388.
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | 
% 185.69/30.15  | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | 
% 185.69/30.15  | | | | | | | |   (76)  all_56_5 = e3 & op(e2, e1) = e3
% 185.69/30.15  | | | | | | | | 
% 185.69/30.15  | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 185.69/30.15  | | | | | | | |            (11), (12), (13), (14), (15), (16), (17), (19), (20),
% 185.69/30.15  | | | | | | | |            (21), (22), (23), (24), (25), (27), (28), (29), (30),
% 185.69/30.15  | | | | | | | |            (31), (32), (33), (34), (36), (37), (38), (39), (40),
% 185.69/30.15  | | | | | | | |            (41), (42), (43), (45), (48), (49), (58), (59), (76)
% 185.69/30.15  | | | | | | | |            are inconsistent by sub-proof #722.
% 185.69/30.15  | | | | | | | | 
% 185.69/30.15  | | | | | | | End of split
% 185.69/30.15  | | | | | | | 
% 185.69/30.15  | | | | | | Case 2:
% 185.69/30.15  | | | | | | | 
% 185.69/30.15  | | | | | | |   (77)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 &
% 185.69/30.15  | | | | | | |           op(e0, e1) = e3)
% 185.69/30.15  | | | | | | | 
% 185.69/30.15  | | | | | | | BETA: splitting (77) gives:
% 185.69/30.15  | | | | | | | 
% 185.69/30.15  | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | 
% 185.69/30.15  | | | | | | | |   (78)  all_56_8 = e3 & op(e1, e1) = e3
% 185.69/30.15  | | | | | | | | 
% 185.69/30.15  | | | | | | | | ALPHA: (78) implies:
% 185.69/30.15  | | | | | | | |   (79)  op(e1, e1) = e3
% 185.69/30.15  | | | | | | | | 
% 185.69/30.15  | | | | | | | | REF_CLOSE: (20), (35), (42), (79) are inconsistent by sub-proof
% 185.69/30.15  | | | | | | | |            #1164.
% 185.69/30.15  | | | | | | | | 
% 185.69/30.15  | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | 
% 185.69/30.15  | | | | | | | |   (80)  all_56_14 = e3 & op(e0, e1) = e3
% 185.69/30.15  | | | | | | | | 
% 185.69/30.15  | | | | | | | | ALPHA: (80) implies:
% 185.69/30.15  | | | | | | | |   (81)  all_56_14 = e3
% 185.69/30.15  | | | | | | | | 
% 185.69/30.15  | | | | | | | | BETA: splitting (25) gives:
% 185.69/30.15  | | | | | | | | 
% 185.69/30.15  | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | |   (82)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 &
% 185.69/30.15  | | | | | | | | |           op(e2, e2) = e2)
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | BETA: splitting (82) gives:
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | |   (83)  all_56_2 = e2 & op(e2, e3) = e2
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | ALPHA: (83) implies:
% 185.69/30.15  | | | | | | | | | |   (84)  all_56_2 = e2
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | COMBINE_EQS: (62), (84) imply:
% 185.69/30.15  | | | | | | | | | |   (85)  e3 = e2
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | COMBINE_EQS: (81), (85) imply:
% 185.69/30.15  | | | | | | | | | |   (86)  all_56_14 = e2
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | REF_CLOSE: (6), (7), (9), (15), (18), (20), (21), (35), (36),
% 185.69/30.15  | | | | | | | | | |            (42), (43), (49), (86) are inconsistent by
% 185.69/30.15  | | | | | | | | | |            sub-proof #976.
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | |   (87)  all_56_3 = e2 & op(e2, e2) = e2
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | ALPHA: (87) implies:
% 185.69/30.15  | | | | | | | | | |   (88)  op(e2, e2) = e2
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | REF_CLOSE: (20), (28), (43), (88) are inconsistent by
% 185.69/30.15  | | | | | | | | | |            sub-proof #1487.
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | |   (89)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 &
% 185.69/30.15  | | | | | | | | |           op(e2, e0) = e2)
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | BETA: splitting (89) gives:
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | |   (90)  all_56_5 = e2 & op(e2, e1) = e2
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | ALPHA: (90) implies:
% 185.69/30.15  | | | | | | | | | |   (91)  all_56_5 = e2
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | BETA: splitting (32) gives:
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | |   (92)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 185.69/30.15  | | | | | | | | | | |           e1 & op(e0, e2) = e1)
% 185.69/30.15  | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | BETA: splitting (92) gives:
% 185.69/30.15  | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | |   (93)  all_56_12 = e1 & op(e0, e3) = e1
% 185.69/30.15  | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | ALPHA: (93) implies:
% 185.69/30.15  | | | | | | | | | | | |   (94)  all_56_12 = e1
% 185.69/30.15  | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | REF_CLOSE: (1), (3), (5), (7), (9), (12), (15), (18), (19),
% 185.69/30.15  | | | | | | | | | | | |            (20), (32), (35), (37), (41), (43), (44), (48),
% 185.69/30.15  | | | | | | | | | | | |            (62), (81), (94) are inconsistent by sub-proof
% 185.69/30.15  | | | | | | | | | | | |            #1090.
% 185.69/30.15  | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | |   (95)  all_56_13 = e1 & op(e0, e2) = e1
% 185.69/30.15  | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | ALPHA: (95) implies:
% 185.69/30.15  | | | | | | | | | | | |   (96)  all_56_13 = e1
% 185.69/30.15  | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | BETA: splitting (46) gives:
% 185.69/30.15  | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | Case 1:
% 185.69/30.15  | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | |   (97)  all_56_15 = e0 & op(e0, e0) = e0
% 185.69/30.15  | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | ALPHA: (97) implies:
% 185.69/30.15  | | | | | | | | | | | | |   (98)  op(e0, e0) = e0
% 185.69/30.15  | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | REF_CLOSE: (9), (20), (29), (98) are inconsistent by
% 185.69/30.15  | | | | | | | | | | | | |            sub-proof #1540.
% 185.69/30.15  | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | |   (99)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 185.69/30.15  | | | | | | | | | | | | |             e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 185.69/30.15  | | | | | | | | | | | | |             op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 185.69/30.15  | | | | | | | | | | | | |               e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 185.69/30.15  | | | | | | | | | | | | |             e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 185.69/30.15  | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | ALPHA: (99) implies:
% 185.69/30.15  | | | | | | | | | | | | |   (100)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 185.69/30.15  | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 185.69/30.15  | | | | | | | | | | | | |              e1) = e0)
% 185.69/30.15  | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | | REF_CLOSE: (1), (7), (9), (15), (19), (20), (35), (43), (44),
% 185.69/30.15  | | | | | | | | | | | | |            (81), (96), (100) are inconsistent by sub-proof
% 185.69/30.15  | | | | | | | | | | | | |            #1370.
% 185.69/30.15  | | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | |   (101)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.69/30.15  | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.69/30.15  | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | | REF_CLOSE: (1), (5), (6), (7), (9), (15), (18), (20), (21),
% 185.69/30.15  | | | | | | | | | | |            (35), (42), (43), (49), (91), (101) are
% 185.69/30.15  | | | | | | | | | | |            inconsistent by sub-proof #892.
% 185.69/30.15  | | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | Case 2:
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | |   (102)  all_56_10 = e2 & op(e2, e0) = e2
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | ALPHA: (102) implies:
% 185.69/30.15  | | | | | | | | | |   (103)  op(e2, e0) = e2
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | | REF_CLOSE: (20), (58), (59), (103) are inconsistent by
% 185.69/30.15  | | | | | | | | | |            sub-proof #1388.
% 185.69/30.15  | | | | | | | | | | 
% 185.69/30.15  | | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | | 
% 185.69/30.15  | | | | | | | | End of split
% 185.69/30.15  | | | | | | | | 
% 185.69/30.15  | | | | | | | End of split
% 185.69/30.15  | | | | | | | 
% 185.69/30.15  | | | | | | End of split
% 185.69/30.15  | | | | | | 
% 185.69/30.15  | | | | | Case 2:
% 185.69/30.15  | | | | | | 
% 185.69/30.15  | | | | | |   (104)  all_56_3 = e3 & op(e2, e2) = e3
% 185.69/30.15  | | | | | | 
% 185.69/30.15  | | | | | | ALPHA: (104) implies:
% 185.69/30.15  | | | | | |   (105)  op(e2, e2) = e3
% 185.69/30.15  | | | | | | 
% 185.69/30.15  | | | | | | REF_CLOSE: (18), (20), (28), (105) are inconsistent by sub-proof
% 185.69/30.15  | | | | | |            #1347.
% 185.69/30.15  | | | | | | 
% 185.69/30.15  | | | | | End of split
% 185.69/30.15  | | | | | 
% 185.69/30.15  | | | | Case 2:
% 185.69/30.15  | | | | | 
% 185.69/30.15  | | | | |   (106)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2,
% 185.69/30.15  | | | | |              e0) = e3)
% 185.69/30.15  | | | | | 
% 185.69/30.15  | | | | | BETA: splitting (106) gives:
% 185.69/30.15  | | | | | 
% 185.69/30.15  | | | | | Case 1:
% 185.69/30.15  | | | | | | 
% 185.69/30.15  | | | | | |   (107)  all_56_5 = e3 & op(e2, e1) = e3
% 185.69/30.15  | | | | | | 
% 185.69/30.15  | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 185.69/30.15  | | | | | |            (12), (13), (14), (15), (16), (17), (19), (20), (21),
% 185.69/30.15  | | | | | |            (22), (23), (24), (25), (27), (28), (29), (30), (31),
% 185.69/30.15  | | | | | |            (32), (33), (34), (36), (37), (38), (39), (40), (41),
% 185.69/30.15  | | | | | |            (42), (43), (45), (48), (49), (58), (59), (107) are
% 185.69/30.15  | | | | | |            inconsistent by sub-proof #722.
% 185.69/30.15  | | | | | | 
% 185.69/30.15  | | | | | Case 2:
% 185.69/30.15  | | | | | | 
% 185.69/30.15  | | | | | |   (108)  all_56_10 = e3 & op(e2, e0) = e3
% 185.69/30.15  | | | | | | 
% 185.69/30.15  | | | | | | ALPHA: (108) implies:
% 185.69/30.16  | | | | | |   (109)  all_56_10 = e3
% 185.69/30.16  | | | | | | 
% 185.69/30.16  | | | | | | BETA: splitting (34) gives:
% 185.69/30.16  | | | | | | 
% 185.69/30.16  | | | | | | Case 1:
% 185.69/30.16  | | | | | | | 
% 185.69/30.16  | | | | | | |   (110)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 &
% 185.69/30.16  | | | | | | |            op(e2, e0) = e2)
% 185.69/30.16  | | | | | | | 
% 185.69/30.16  | | | | | | | BETA: splitting (110) gives:
% 185.69/30.16  | | | | | | | 
% 185.69/30.16  | | | | | | | Case 1:
% 185.69/30.16  | | | | | | | | 
% 185.69/30.16  | | | | | | | |   (111)  all_56_9 = e2 & op(e3, e0) = e2
% 185.69/30.16  | | | | | | | | 
% 185.69/30.16  | | | | | | | | ALPHA: (111) implies:
% 185.69/30.16  | | | | | | | |   (112)  all_56_9 = e2
% 185.69/30.16  | | | | | | | | 
% 185.69/30.16  | | | | | | | | BETA: splitting (46) gives:
% 185.69/30.16  | | | | | | | | 
% 185.69/30.16  | | | | | | | | Case 1:
% 185.69/30.16  | | | | | | | | | 
% 185.69/30.16  | | | | | | | | |   (113)  all_56_15 = e0 & op(e0, e0) = e0
% 185.69/30.16  | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | ALPHA: (113) implies:
% 185.69/30.16  | | | | | | | | |   (114)  op(e0, e0) = e0
% 185.69/30.16  | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | REF_CLOSE: (9), (20), (29), (114) are inconsistent by
% 185.69/30.16  | | | | | | | | |            sub-proof #1540.
% 185.69/30.16  | | | | | | | | | 
% 185.69/30.16  | | | | | | | | Case 2:
% 185.69/30.16  | | | | | | | | | 
% 185.69/30.16  | | | | | | | | |   (115)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0
% 185.69/30.16  | | | | | | | | |              & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.69/30.16  | | | | | | | | |              = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 185.69/30.16  | | | | | | | | |            (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 185.69/30.16  | | | | | | | | |              e0 & op(e0, e1) = e0))
% 185.69/30.16  | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | ALPHA: (115) implies:
% 185.69/30.16  | | | | | | | | |   (116)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 185.69/30.16  | | | | | | | | |            op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.69/30.16  | | | | | | | | |            e0)
% 185.69/30.16  | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | BETA: splitting (116) gives:
% 185.69/30.16  | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | Case 1:
% 185.69/30.16  | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | |   (117)  all_56_9 = e0 & op(e3, e0) = e0
% 185.69/30.16  | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | | ALPHA: (117) implies:
% 185.69/30.16  | | | | | | | | | |   (118)  all_56_9 = e0
% 185.69/30.16  | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | | REF_CLOSE: (15), (112), (118) are inconsistent by sub-proof
% 185.69/30.16  | | | | | | | | | |            #1570.
% 185.69/30.16  | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | Case 2:
% 185.69/30.16  | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | |   (119)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 185.69/30.16  | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 185.69/30.16  | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | | BETA: splitting (119) gives:
% 185.69/30.16  | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | | Case 1:
% 185.69/30.16  | | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | | |   (120)  all_56_10 = e0 & op(e2, e0) = e0
% 185.69/30.16  | | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | | | REF_CLOSE: (9), (109), (120) are inconsistent by sub-proof
% 185.69/30.16  | | | | | | | | | | |            #882.
% 185.69/30.16  | | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | | Case 2:
% 185.69/30.16  | | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | | |   (121)  all_56_11 = e0 & op(e1, e0) = e0
% 185.69/30.16  | | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | | | ALPHA: (121) implies:
% 185.69/30.16  | | | | | | | | | | |   (122)  all_56_11 = e0
% 185.69/30.16  | | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (10), (11),
% 185.69/30.16  | | | | | | | | | | |            (12), (15), (16), (17), (18), (19), (20), (21),
% 185.69/30.16  | | | | | | | | | | |            (23), (24), (25), (27), (28), (31), (32), (33),
% 185.69/30.16  | | | | | | | | | | |            (34), (35), (36), (37), (38), (40), (42), (43),
% 185.69/30.16  | | | | | | | | | | |            (47), (48), (49), (109), (112), (122) are
% 185.69/30.16  | | | | | | | | | | |            inconsistent by sub-proof #735.
% 185.69/30.16  | | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | | End of split
% 185.69/30.16  | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | End of split
% 185.69/30.16  | | | | | | | | | 
% 185.69/30.16  | | | | | | | | End of split
% 185.69/30.16  | | | | | | | | 
% 185.69/30.16  | | | | | | | Case 2:
% 185.69/30.16  | | | | | | | | 
% 185.69/30.16  | | | | | | | |   (123)  all_56_10 = e2 & op(e2, e0) = e2
% 185.69/30.16  | | | | | | | | 
% 185.69/30.16  | | | | | | | | ALPHA: (123) implies:
% 185.69/30.16  | | | | | | | |   (124)  op(e2, e0) = e2
% 185.69/30.16  | | | | | | | | 
% 185.69/30.16  | | | | | | | | REF_CLOSE: (20), (58), (59), (124) are inconsistent by sub-proof
% 185.69/30.16  | | | | | | | |            #1388.
% 185.69/30.16  | | | | | | | | 
% 185.69/30.16  | | | | | | | End of split
% 185.69/30.16  | | | | | | | 
% 185.69/30.16  | | | | | | Case 2:
% 185.69/30.16  | | | | | | | 
% 185.69/30.16  | | | | | | |   (125)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 &
% 185.69/30.16  | | | | | | |            op(e0, e0) = e2)
% 185.69/30.16  | | | | | | | 
% 185.69/30.16  | | | | | | | REF_CLOSE: (1), (2), (7), (9), (14), (15), (18), (19), (20), (35),
% 185.69/30.16  | | | | | | |            (39), (42), (43), (125) are inconsistent by sub-proof
% 185.69/30.16  | | | | | | |            #885.
% 185.69/30.16  | | | | | | | 
% 185.69/30.16  | | | | | | End of split
% 185.69/30.16  | | | | | | 
% 185.69/30.16  | | | | | End of split
% 185.69/30.16  | | | | | 
% 185.69/30.16  | | | | End of split
% 185.69/30.16  | | | | 
% 185.69/30.16  | | | End of split
% 185.69/30.16  | | | 
% 185.69/30.16  | | End of split
% 185.69/30.16  | | 
% 185.69/30.16  | End of split
% 185.69/30.16  | 
% 185.69/30.16  End of proof
% 185.69/30.16  
% 185.69/30.16  Sub-proof #722 shows that the following formulas are inconsistent:
% 185.69/30.16  ----------------------------------------------------------------
% 185.69/30.16    (1)  op(e0, e0) = all_6_2
% 185.69/30.16    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.69/30.16         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.69/30.16    (3)   ~ (all_4_2 = e0)
% 185.69/30.16    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.16         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.69/30.16    (5)   ~ (all_6_2 = e1)
% 185.69/30.16    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.69/30.16         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.69/30.16    (7)   ~ (all_57_21 = e2)
% 185.69/30.16    (8)   ~ (e1 = e0)
% 185.69/30.16    (9)  all_56_5 = e3 & op(e2, e1) = e3
% 185.69/30.16    (10)  op(e1, e0) = all_52_14
% 185.69/30.16    (11)   ~ (e3 = e0)
% 185.69/30.16    (12)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.69/30.16          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.69/30.16    (13)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.69/30.16          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.16    (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.69/30.16          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.69/30.16    (15)  op(e2, e1) = all_52_9
% 185.69/30.16    (16)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.69/30.16          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.69/30.16    (17)   ~ (e2 = e0)
% 185.69/30.16    (18)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.16          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.69/30.16    (19)  op(e2, e0) = all_57_21
% 185.69/30.16    (20)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.16          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.69/30.16    (21)   ~ (all_6_2 = e2)
% 185.69/30.16    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.16            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.16    (23)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.69/30.16          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.16    (24)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 185.69/30.16          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 185.69/30.16            e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 & $i(all_57_24))
% 185.69/30.16    (25)   ~ (all_52_6 = e2)
% 185.69/30.16    (26)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.69/30.16          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.69/30.16    (27)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.16          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.69/30.16    (28)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.69/30.16          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.69/30.16    (29)  op(e2, e2) = e1
% 185.69/30.16    (30)  op(e0, e0) = e3
% 185.69/30.16    (31)   ~ (all_52_9 = e2)
% 185.69/30.16    (32)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.69/30.16          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.69/30.16    (33)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.69/30.16          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.69/30.16            e1)
% 185.69/30.16    (34)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.16          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.69/30.16    (35)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.69/30.16          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.69/30.16    (36)  op(e3, e1) = all_52_8
% 185.69/30.16    (37)  op(e3, e3) = all_4_2
% 185.69/30.16    (38)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.16          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.69/30.16    (39)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.69/30.16          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.69/30.16    (40)  op(e1, e2) = all_52_6
% 185.69/30.16    (41)  op(e3, e3) = e3
% 185.69/30.16    (42)  op(e1, e1) = e2
% 185.69/30.16    (43)   ~ (e2 = e1)
% 185.69/30.16    (44)   ~ (all_52_9 = e1)
% 185.69/30.16    (45)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.69/30.16          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.69/30.16    (46)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.69/30.16          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.69/30.16  
% 185.69/30.16  Begin of proof
% 185.69/30.16  | 
% 185.69/30.16  | ALPHA: (9) implies:
% 185.69/30.16  |   (47)  op(e2, e1) = e3
% 185.69/30.16  | 
% 185.69/30.16  | BETA: splitting (24) gives:
% 185.69/30.16  | 
% 185.69/30.16  | Case 1:
% 185.69/30.16  | | 
% 185.69/30.16  | |   (48)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) =
% 185.69/30.16  | |           e0)
% 185.69/30.16  | | 
% 185.69/30.16  | | REF_CLOSE: (3), (8), (22), (29), (37), (48) are inconsistent by sub-proof
% 185.69/30.16  | |            #1301.
% 185.69/30.16  | | 
% 185.69/30.16  | Case 2:
% 185.69/30.16  | | 
% 185.69/30.16  | |   (49)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 185.69/30.16  | |           e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 185.69/30.16  | |           $i(all_57_24))
% 185.69/30.16  | | 
% 185.69/30.16  | | BETA: splitting (49) gives:
% 185.69/30.16  | | 
% 185.69/30.16  | | Case 1:
% 185.69/30.16  | | | 
% 185.69/30.16  | | |   (50)  all_57_30 = e0 & op(e1, e1) = e0
% 185.69/30.16  | | | 
% 185.69/30.16  | | | ALPHA: (50) implies:
% 185.69/30.16  | | |   (51)  op(e1, e1) = e0
% 185.69/30.16  | | | 
% 185.69/30.16  | | | REF_CLOSE: (17), (22), (42), (51) are inconsistent by sub-proof #1230.
% 185.69/30.16  | | | 
% 185.69/30.16  | | Case 2:
% 185.69/30.16  | | | 
% 185.69/30.16  | | |   (52)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) & op(e1,
% 185.69/30.16  | | |             e0) = all_57_24 & $i(all_57_24))
% 185.69/30.16  | | | 
% 185.69/30.16  | | | BETA: splitting (52) gives:
% 185.69/30.16  | | | 
% 185.69/30.16  | | | Case 1:
% 185.69/30.16  | | | | 
% 185.69/30.16  | | | |   (53)  all_57_31 = e0 & op(e0, e0) = e0
% 185.69/30.16  | | | | 
% 185.69/30.16  | | | | ALPHA: (53) implies:
% 185.69/30.16  | | | |   (54)  op(e0, e0) = e0
% 185.69/30.16  | | | | 
% 185.69/30.16  | | | | REF_CLOSE: (11), (22), (30), (54) are inconsistent by sub-proof #1540.
% 185.69/30.16  | | | | 
% 185.69/30.16  | | | Case 2:
% 185.69/30.16  | | | | 
% 185.69/30.16  | | | |   (55)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 & $i(all_57_24)
% 185.69/30.16  | | | | 
% 185.69/30.16  | | | | ALPHA: (55) implies:
% 185.69/30.16  | | | |   (56)   ~ (all_57_24 = e1)
% 185.69/30.16  | | | |   (57)  op(e1, e0) = all_57_24
% 185.69/30.16  | | | | 
% 185.69/30.16  | | | | GROUND_INST: instantiating (22) with all_52_14, all_57_24, e0, e1,
% 185.69/30.16  | | | |              simplifying with (10), (57) gives:
% 185.69/30.16  | | | |   (58)  all_57_24 = all_52_14
% 185.69/30.16  | | | | 
% 185.69/30.16  | | | | GROUND_INST: instantiating (22) with all_52_9, e3, e1, e2, simplifying
% 185.69/30.16  | | | |              with (15), (47) gives:
% 185.69/30.16  | | | |   (59)  all_52_9 = e3
% 185.69/30.16  | | | | 
% 185.69/30.16  | | | | REDUCE: (56), (58) imply:
% 185.69/30.16  | | | |   (60)   ~ (all_52_14 = e1)
% 185.69/30.16  | | | | 
% 185.69/30.16  | | | | REDUCE: (31), (59) imply:
% 185.69/30.16  | | | |   (61)   ~ (e3 = e2)
% 185.69/30.16  | | | | 
% 185.69/30.16  | | | | REDUCE: (44), (59) imply:
% 185.69/30.16  | | | |   (62)   ~ (e3 = e1)
% 185.69/30.16  | | | | 
% 185.69/30.16  | | | | BETA: splitting (35) gives:
% 185.69/30.16  | | | | 
% 185.69/30.16  | | | | Case 1:
% 185.69/30.16  | | | | | 
% 185.69/30.16  | | | | |   (63)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2,
% 185.69/30.16  | | | | |             e0) = e2)
% 185.69/30.16  | | | | | 
% 185.69/30.16  | | | | | BETA: splitting (63) gives:
% 185.69/30.16  | | | | | 
% 185.69/30.16  | | | | | Case 1:
% 185.69/30.16  | | | | | | 
% 185.69/30.16  | | | | | |   (64)  all_56_9 = e2 & op(e3, e0) = e2
% 185.69/30.16  | | | | | | 
% 185.69/30.16  | | | | | | ALPHA: (64) implies:
% 185.69/30.16  | | | | | |   (65)  all_56_9 = e2
% 185.69/30.16  | | | | | | 
% 185.69/30.16  | | | | | | BETA: splitting (26) gives:
% 185.69/30.16  | | | | | | 
% 185.69/30.16  | | | | | | Case 1:
% 185.69/30.16  | | | | | | | 
% 185.69/30.16  | | | | | | |   (66)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 &
% 185.69/30.16  | | | | | | |           op(e3, e2) = e1)
% 185.69/30.16  | | | | | | | 
% 185.69/30.16  | | | | | | | REF_CLOSE: (3), (4), (8), (11), (13), (17), (20), (22), (25),
% 185.69/30.16  | | | | | | |            (28), (29), (32), (34), (36), (37), (40), (41), (43),
% 185.69/30.16  | | | | | | |            (61), (62), (65), (66) are inconsistent by sub-proof
% 185.69/30.16  | | | | | | |            #744.
% 185.69/30.16  | | | | | | | 
% 185.69/30.16  | | | | | | Case 2:
% 185.69/30.16  | | | | | | | 
% 185.69/30.16  | | | | | | |   (67)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 &
% 185.69/30.16  | | | | | | |           op(e3, e0) = e1)
% 185.69/30.16  | | | | | | | 
% 185.69/30.16  | | | | | | | BETA: splitting (67) gives:
% 185.69/30.16  | | | | | | | 
% 185.69/30.16  | | | | | | | Case 1:
% 185.69/30.16  | | | | | | | | 
% 185.69/30.16  | | | | | | | |   (68)  all_56_4 = e1 & op(e3, e1) = e1
% 185.69/30.16  | | | | | | | | 
% 185.69/30.16  | | | | | | | | ALPHA: (68) implies:
% 185.69/30.16  | | | | | | | |   (69)  all_56_4 = e1
% 185.69/30.16  | | | | | | | |   (70)  op(e3, e1) = e1
% 185.69/30.16  | | | | | | | | 
% 185.69/30.16  | | | | | | | | BETA: splitting (12) gives:
% 185.69/30.16  | | | | | | | | 
% 185.69/30.16  | | | | | | | | Case 1:
% 185.69/30.16  | | | | | | | | | 
% 185.69/30.16  | | | | | | | | |   (71)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 &
% 185.69/30.16  | | | | | | | | |           op(e2, e0) = e1)
% 185.69/30.16  | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | BETA: splitting (71) gives:
% 185.69/30.16  | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | Case 1:
% 185.69/30.16  | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | |   (72)  all_56_9 = e1 & op(e3, e0) = e1
% 185.69/30.16  | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | | ALPHA: (72) implies:
% 185.69/30.16  | | | | | | | | | |   (73)  all_56_9 = e1
% 185.69/30.16  | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | | REF_CLOSE: (43), (65), (73) are inconsistent by sub-proof
% 185.69/30.16  | | | | | | | | | |            #1503.
% 185.69/30.16  | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | Case 2:
% 185.69/30.16  | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | |   (74)  all_56_10 = e1 & op(e2, e0) = e1
% 185.69/30.16  | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | | ALPHA: (74) implies:
% 185.69/30.16  | | | | | | | | | |   (75)  all_56_10 = e1
% 185.69/30.16  | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | | REF_CLOSE: (1), (3), (5), (6), (8), (11), (13), (14), (17),
% 185.69/30.16  | | | | | | | | | |            (18), (20), (22), (23), (25), (27), (28), (29),
% 185.69/30.16  | | | | | | | | | |            (33), (37), (38), (40), (42), (43), (45), (46),
% 185.69/30.16  | | | | | | | | | |            (61), (62), (65), (69), (70), (75) are
% 185.69/30.16  | | | | | | | | | |            inconsistent by sub-proof #767.
% 185.69/30.16  | | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | End of split
% 185.69/30.16  | | | | | | | | | 
% 185.69/30.16  | | | | | | | | Case 2:
% 185.69/30.16  | | | | | | | | | 
% 185.69/30.16  | | | | | | | | |   (76)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 &
% 185.69/30.16  | | | | | | | | |           op(e0, e0) = e1)
% 185.69/30.16  | | | | | | | | | 
% 185.69/30.16  | | | | | | | | | REF_CLOSE: (1), (5), (10), (22), (60), (76) are inconsistent
% 185.69/30.16  | | | | | | | | |            by sub-proof #1488.
% 185.69/30.16  | | | | | | | | | 
% 185.69/30.16  | | | | | | | | End of split
% 185.69/30.16  | | | | | | | | 
% 185.69/30.16  | | | | | | | Case 2:
% 185.69/30.16  | | | | | | | | 
% 185.69/30.16  | | | | | | | |   (77)  all_56_9 = e1 & op(e3, e0) = e1
% 185.69/30.16  | | | | | | | | 
% 185.69/30.16  | | | | | | | | ALPHA: (77) implies:
% 185.69/30.16  | | | | | | | |   (78)  all_56_9 = e1
% 185.69/30.16  | | | | | | | | 
% 185.69/30.16  | | | | | | | | REF_CLOSE: (43), (65), (78) are inconsistent by sub-proof #1503.
% 185.69/30.16  | | | | | | | | 
% 185.69/30.16  | | | | | | | End of split
% 185.69/30.16  | | | | | | | 
% 185.69/30.16  | | | | | | End of split
% 185.69/30.16  | | | | | | 
% 185.69/30.16  | | | | | Case 2:
% 185.69/30.16  | | | | | | 
% 185.69/30.16  | | | | | |   (79)  all_56_10 = e2 & op(e2, e0) = e2
% 185.69/30.16  | | | | | | 
% 185.69/30.16  | | | | | | ALPHA: (79) implies:
% 185.69/30.16  | | | | | |   (80)  op(e2, e0) = e2
% 185.69/30.16  | | | | | | 
% 185.69/30.16  | | | | | | REF_CLOSE: (7), (19), (22), (80) are inconsistent by sub-proof
% 185.69/30.16  | | | | | |            #1388.
% 185.69/30.16  | | | | | | 
% 185.69/30.16  | | | | | End of split
% 185.69/30.16  | | | | | 
% 185.69/30.16  | | | | Case 2:
% 185.69/30.16  | | | | | 
% 185.69/30.16  | | | | |   (81)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0,
% 185.69/30.16  | | | | |             e0) = e2)
% 185.69/30.16  | | | | | 
% 185.69/30.16  | | | | | REF_CLOSE: (1), (2), (8), (11), (16), (17), (21), (22), (39), (42),
% 185.69/30.16  | | | | |            (43), (61), (62), (81) are inconsistent by sub-proof #885.
% 185.69/30.16  | | | | | 
% 185.69/30.16  | | | | End of split
% 185.69/30.16  | | | | 
% 185.69/30.16  | | | End of split
% 185.69/30.16  | | | 
% 185.69/30.16  | | End of split
% 185.69/30.16  | | 
% 185.69/30.16  | End of split
% 185.69/30.16  | 
% 185.69/30.16  End of proof
% 185.69/30.16  
% 185.69/30.16  Sub-proof #723 shows that the following formulas are inconsistent:
% 185.69/30.16  ----------------------------------------------------------------
% 185.69/30.16    (1)  op(e2, e1) = e2
% 185.69/30.16    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.69/30.16         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.69/30.16    (3)   ~ (e1 = e0)
% 185.69/30.16    (4)   ~ (e3 = e0)
% 185.69/30.16    (5)   ~ (e2 = e0)
% 185.69/30.16    (6)   ~ (e3 = e1)
% 185.69/30.16    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.16    (8)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.69/30.16         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.16    (9)  all_56_4 = e3
% 185.69/30.16    (10)  all_56_5 = e2
% 185.69/30.16    (11)   ~ (e3 = e2)
% 185.69/30.16    (12)  op(e1, e1) = e2
% 185.69/30.16    (13)   ~ (e2 = e1)
% 185.69/30.16    (14)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.69/30.16          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.69/30.16  
% 185.69/30.16  Begin of proof
% 185.69/30.16  | 
% 185.69/30.16  | BETA: splitting (14) gives:
% 185.69/30.16  | 
% 185.69/30.16  | Case 1:
% 185.69/30.16  | | 
% 185.69/30.16  | |   (15)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 185.69/30.16  | |           e1)
% 185.69/30.16  | | 
% 185.69/30.16  | | BETA: splitting (15) gives:
% 185.69/30.16  | | 
% 185.69/30.16  | | Case 1:
% 185.69/30.16  | | | 
% 185.69/30.16  | | |   (16)  all_56_4 = e1 & op(e3, e1) = e1
% 185.69/30.16  | | | 
% 185.69/30.16  | | | REF_CLOSE: (6), (9), (16) are inconsistent by sub-proof #731.
% 185.69/30.16  | | | 
% 185.69/30.16  | | Case 2:
% 185.69/30.16  | | | 
% 185.69/30.16  | | |   (17)  all_56_5 = e1 & op(e2, e1) = e1
% 185.69/30.16  | | | 
% 185.69/30.16  | | | ALPHA: (17) implies:
% 185.69/30.16  | | |   (18)  op(e2, e1) = e1
% 185.69/30.16  | | | 
% 185.69/30.16  | | | REF_CLOSE: (1), (7), (13), (18) are inconsistent by sub-proof #1148.
% 185.69/30.16  | | | 
% 185.69/30.16  | | End of split
% 185.69/30.16  | | 
% 185.69/30.16  | Case 2:
% 185.69/30.16  | | 
% 185.69/30.16  | |   (19)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 185.69/30.16  | |           e1)
% 185.69/30.16  | | 
% 185.69/30.16  | | BETA: splitting (19) gives:
% 185.69/30.16  | | 
% 185.69/30.16  | | Case 1:
% 185.69/30.16  | | | 
% 185.69/30.16  | | |   (20)  all_56_8 = e1 & op(e1, e1) = e1
% 185.69/30.16  | | | 
% 185.69/30.16  | | | ALPHA: (20) implies:
% 185.69/30.16  | | |   (21)  op(e1, e1) = e1
% 185.69/30.16  | | | 
% 185.69/30.16  | | | REF_CLOSE: (7), (12), (13), (21) are inconsistent by sub-proof #1473.
% 185.69/30.16  | | | 
% 185.69/30.16  | | Case 2:
% 185.69/30.16  | | | 
% 185.69/30.16  | | |   (22)  all_56_14 = e1 & op(e0, e1) = e1
% 185.69/30.16  | | | 
% 185.69/30.16  | | | ALPHA: (22) implies:
% 185.69/30.16  | | |   (23)  op(e0, e1) = e1
% 185.69/30.16  | | | 
% 185.69/30.16  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 185.69/30.16  | | |            (14), (23) are inconsistent by sub-proof #893.
% 185.69/30.16  | | | 
% 185.69/30.16  | | End of split
% 185.69/30.16  | | 
% 185.69/30.16  | End of split
% 185.69/30.16  | 
% 185.69/30.16  End of proof
% 185.69/30.16  
% 185.69/30.16  Sub-proof #724 shows that the following formulas are inconsistent:
% 185.69/30.16  ----------------------------------------------------------------
% 185.69/30.16    (1)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.69/30.16    (2)  op(e0, e0) = all_6_2
% 185.69/30.16    (3)   ~ (all_6_2 = e1)
% 185.69/30.16    (4)   ~ (e1 = e0)
% 185.69/30.16    (5)   ~ (e3 = e0)
% 185.69/30.16    (6)   ~ (e2 = e0)
% 185.69/30.16    (7)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 185.69/30.16         (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.16    (8)   ~ (e3 = e1)
% 185.69/30.16    (9)   ~ (all_6_2 = e2)
% 185.69/30.16    (10)   ~ (all_52_7 = e0)
% 185.69/30.16    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.16            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.16    (12)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.69/30.16          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.69/30.16            e1)
% 185.69/30.16    (13)   ~ (e3 = e2)
% 185.69/30.16    (14)  op(e1, e1) = e2
% 185.69/30.16    (15)   ~ (e2 = e1)
% 185.69/30.16    (16)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.69/30.16          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.69/30.16            e2)
% 185.69/30.16    (17)  op(e0, e2) = all_52_7
% 185.69/30.16  
% 185.69/30.16  Begin of proof
% 185.69/30.16  | 
% 185.69/30.16  | BETA: splitting (1) gives:
% 185.69/30.16  | 
% 185.69/30.16  | Case 1:
% 185.69/30.16  | | 
% 185.69/30.16  | |   (18)  all_56_8 = e3 & op(e1, e1) = e3
% 185.69/30.16  | | 
% 185.69/30.16  | | ALPHA: (18) implies:
% 185.69/30.16  | |   (19)  op(e1, e1) = e3
% 185.69/30.16  | | 
% 185.69/30.16  | | REF_CLOSE: (11), (13), (14), (19) are inconsistent by sub-proof #1164.
% 185.69/30.16  | | 
% 185.69/30.16  | Case 2:
% 185.69/30.16  | | 
% 185.69/30.16  | |   (20)  all_56_14 = e3 & op(e0, e1) = e3
% 185.69/30.16  | | 
% 185.69/30.16  | | ALPHA: (20) implies:
% 185.69/30.16  | |   (21)  all_56_14 = e3
% 185.69/30.16  | | 
% 185.69/30.16  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 185.69/30.16  | |            (15), (16), (17), (21) are inconsistent by sub-proof #1439.
% 185.69/30.16  | | 
% 185.69/30.16  | End of split
% 185.69/30.16  | 
% 185.69/30.16  End of proof
% 185.69/30.16  
% 185.69/30.16  Sub-proof #725 shows that the following formulas are inconsistent:
% 185.69/30.16  ----------------------------------------------------------------
% 185.69/30.16    (1)  op(e0, e0) = all_6_2
% 185.69/30.16    (2)   ~ (all_6_2 = e1)
% 185.69/30.16    (3)   ~ (e1 = e0)
% 185.69/30.16    (4)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.69/30.16    (5)   ~ (e2 = e0)
% 185.69/30.16    (6)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 185.69/30.16         (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.16    (7)   ~ (all_52_7 = e0)
% 185.69/30.16    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.16    (9)  all_56_12 = e2
% 185.69/30.16    (10)  op(e0, e2) = all_52_7
% 185.69/30.16  
% 185.69/30.16  Begin of proof
% 185.69/30.16  | 
% 185.69/30.16  | BETA: splitting (4) gives:
% 185.69/30.16  | 
% 185.69/30.16  | Case 1:
% 185.69/30.16  | | 
% 185.69/30.16  | |   (11)  all_56_14 = e1 & op(e0, e1) = e1
% 185.69/30.16  | | 
% 185.69/30.16  | | ALPHA: (11) implies:
% 185.69/30.16  | |   (12)  op(e0, e1) = e1
% 185.69/30.16  | | 
% 185.69/30.16  | | REF_CLOSE: (3), (5), (6), (7), (8), (9), (10), (12) are inconsistent by
% 185.69/30.16  | |            sub-proof #753.
% 185.69/30.16  | | 
% 185.69/30.16  | Case 2:
% 185.69/30.16  | | 
% 185.69/30.16  | |   (13)  all_56_15 = e1 & op(e0, e0) = e1
% 185.69/30.16  | | 
% 185.69/30.16  | | ALPHA: (13) implies:
% 185.69/30.16  | |   (14)  op(e0, e0) = e1
% 185.69/30.16  | | 
% 185.69/30.16  | | REF_CLOSE: (1), (2), (8), (14) are inconsistent by sub-proof #1516.
% 185.69/30.16  | | 
% 185.69/30.16  | End of split
% 185.69/30.16  | 
% 185.69/30.16  End of proof
% 185.69/30.16  
% 185.69/30.16  Sub-proof #726 shows that the following formulas are inconsistent:
% 185.69/30.16  ----------------------------------------------------------------
% 185.69/30.16    (1)  op(e0, e0) = all_6_2
% 185.69/30.16    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.69/30.16         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.69/30.16    (3)   ~ (all_4_2 = e0)
% 185.69/30.16    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.16         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.69/30.16    (5)   ~ (all_6_2 = e1)
% 185.69/30.16    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.69/30.16         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.69/30.16    (7)  all_56_10 = e2
% 185.69/30.16    (8)   ~ (e1 = e0)
% 185.69/30.16    (9)   ~ (e3 = e0)
% 185.69/30.16    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.69/30.16          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.16    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.69/30.16          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.69/30.16    (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.69/30.16          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.69/30.16    (13)  all_56_12 = e1 & op(e0, e3) = e1
% 185.69/30.16    (14)   ~ (e2 = e0)
% 185.69/30.16    (15)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.16          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.69/30.16    (16)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.16          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.69/30.16    (17)   ~ (e3 = e1)
% 185.69/30.16    (18)   ~ (all_6_2 = e2)
% 185.69/30.16    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.16            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.16    (20)  all_56_12 = e2
% 185.69/30.16    (21)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.69/30.16          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.16    (22)   ~ (all_52_6 = e2)
% 185.69/30.16    (23)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.69/30.16          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.69/30.16    (24)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.16          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.69/30.16    (25)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.69/30.16          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.69/30.16    (26)  op(e2, e2) = e1
% 185.69/30.16    (27)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.69/30.16          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.69/30.16    (28)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.69/30.16          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.69/30.16            e1)
% 185.69/30.16    (29)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.16          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.69/30.16    (30)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.69/30.16          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.69/30.16    (31)   ~ (e3 = e2)
% 185.69/30.16    (32)  op(e3, e1) = all_52_8
% 185.69/30.16    (33)  op(e3, e3) = all_4_2
% 185.69/30.16    (34)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.16          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.69/30.16    (35)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.69/30.16          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.69/30.16    (36)  op(e1, e2) = all_52_6
% 185.69/30.16    (37)  op(e1, e1) = e2
% 185.69/30.16    (38)   ~ (e2 = e1)
% 185.69/30.16    (39)   ~ (all_4_2 = e1)
% 185.69/30.16    (40)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.69/30.16          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.69/30.16    (41)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.69/30.16          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.69/30.16  
% 185.69/30.16  Begin of proof
% 185.69/30.16  | 
% 185.69/30.16  | ALPHA: (13) implies:
% 185.69/30.16  |   (42)  all_56_12 = e1
% 185.69/30.16  | 
% 185.69/30.16  | COMBINE_EQS: (20), (42) imply:
% 185.69/30.16  |   (43)  e2 = e1
% 185.69/30.16  | 
% 185.69/30.16  | SIMP: (43) implies:
% 185.69/30.16  |   (44)  e2 = e1
% 185.69/30.16  | 
% 185.69/30.16  | COMBINE_EQS: (7), (44) imply:
% 185.69/30.16  |   (45)  all_56_10 = e1
% 185.69/30.16  | 
% 185.69/30.16  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (14),
% 185.69/30.16  |            (15), (16), (17), (18), (19), (21), (22), (23), (24), (25), (26),
% 185.69/30.16  |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (36), (37),
% 185.69/30.16  |            (38), (39), (40), (41), (45) are inconsistent by sub-proof #765.
% 185.69/30.16  | 
% 185.69/30.16  End of proof
% 185.69/30.16  
% 185.69/30.16  Sub-proof #727 shows that the following formulas are inconsistent:
% 185.69/30.16  ----------------------------------------------------------------
% 185.69/30.16    (1)  op(e0, e0) = all_6_2
% 185.69/30.16    (2)   ~ (e1 = e0)
% 185.69/30.16    (3)   ~ (e3 = e0)
% 185.69/30.16    (4)  all_56_5 = e3
% 185.69/30.16    (5)   ~ (e2 = e0)
% 185.69/30.16    (6)   ~ (e3 = e1)
% 185.69/30.16    (7)   ~ (all_6_2 = e2)
% 185.69/30.16    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.16           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.16    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.69/30.16         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.16    (10)  op(e2, e1) = e3
% 185.69/30.16    (11)  op(e1, e1) = e2
% 185.69/30.16    (12)   ~ (e2 = e1)
% 185.69/30.16    (13)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.69/30.16    (14)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.69/30.16          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.69/30.16  
% 185.69/30.16  Begin of proof
% 185.69/30.16  | 
% 185.69/30.16  | BETA: splitting (13) gives:
% 185.69/30.16  | 
% 185.69/30.16  | Case 1:
% 185.69/30.16  | | 
% 185.69/30.16  | |   (15)  all_56_14 = e2 & op(e0, e1) = e2
% 185.69/30.16  | | 
% 185.69/30.16  | | ALPHA: (15) implies:
% 185.69/30.16  | |   (16)  all_56_14 = e2
% 185.69/30.16  | | 
% 185.69/30.16  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (14), (16)
% 185.69/30.16  | |            are inconsistent by sub-proof #979.
% 185.69/30.16  | | 
% 185.69/30.16  | Case 2:
% 185.69/30.16  | | 
% 185.69/30.16  | |   (17)  all_56_15 = e2 & op(e0, e0) = e2
% 185.69/30.16  | | 
% 185.69/30.16  | | ALPHA: (17) implies:
% 185.69/30.16  | |   (18)  op(e0, e0) = e2
% 185.69/30.16  | | 
% 185.69/30.16  | | REF_CLOSE: (1), (7), (8), (18) are inconsistent by sub-proof #1511.
% 185.69/30.16  | | 
% 185.69/30.16  | End of split
% 185.69/30.16  | 
% 185.69/30.16  End of proof
% 185.69/30.16  
% 185.69/30.16  Sub-proof #728 shows that the following formulas are inconsistent:
% 185.69/30.16  ----------------------------------------------------------------
% 185.69/30.16    (1)  op(e0, e0) = all_6_2
% 185.69/30.16    (2)  all_56_6 = e2
% 185.69/30.16    (3)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.69/30.16         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.69/30.16    (4)   ~ (all_4_2 = e0)
% 185.69/30.16    (5)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.16         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.69/30.16    (6)   ~ (all_6_2 = e1)
% 185.69/30.16    (7)  all_56_13 = e2 & op(e0, e2) = e2
% 185.69/30.17    (8)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.69/30.17         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.69/30.17    (9)  all_56_10 = e2
% 185.69/30.17    (10)   ~ (e1 = e0)
% 185.69/30.17    (11)   ~ (e3 = e0)
% 185.69/30.17    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.69/30.17          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.17    (13)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.69/30.17          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.69/30.17    (14)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.69/30.17          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.69/30.17    (15)   ~ (e2 = e0)
% 185.69/30.17    (16)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.17          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.69/30.17    (17)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.17          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.69/30.17    (18)   ~ (e3 = e1)
% 185.69/30.17    (19)   ~ (all_6_2 = e2)
% 185.69/30.17    (20)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.17            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.17    (21)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.69/30.17          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.17    (22)   ~ (all_52_6 = e2)
% 185.69/30.17    (23)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.69/30.17          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.69/30.17    (24)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.17          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.69/30.17    (25)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.69/30.17          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.69/30.17    (26)  op(e2, e2) = e1
% 185.69/30.17    (27)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.69/30.17          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.69/30.17    (28)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.69/30.17          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.69/30.17            e1)
% 185.69/30.17    (29)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.17          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.69/30.17    (30)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.69/30.17          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.69/30.17    (31)   ~ (e3 = e2)
% 185.69/30.17    (32)  op(e3, e1) = all_52_8
% 185.69/30.17    (33)  op(e3, e3) = all_4_2
% 185.69/30.17    (34)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.17          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.69/30.17    (35)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.69/30.17          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.69/30.17    (36)  op(e1, e2) = all_52_6
% 185.69/30.17    (37)  op(e1, e1) = e2
% 185.69/30.17    (38)   ~ (e2 = e1)
% 185.69/30.17    (39)   ~ (all_4_2 = e1)
% 185.69/30.17    (40)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.69/30.17          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.69/30.17    (41)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.69/30.17          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.69/30.17  
% 185.69/30.17  Begin of proof
% 185.69/30.17  | 
% 185.69/30.17  | ALPHA: (7) implies:
% 185.69/30.17  |   (42)  all_56_13 = e2
% 185.69/30.17  | 
% 185.69/30.17  | BETA: splitting (3) gives:
% 185.69/30.17  | 
% 185.69/30.17  | Case 1:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (43)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 185.69/30.17  | |           e1)
% 185.69/30.17  | | 
% 185.69/30.17  | | BETA: splitting (43) gives:
% 185.69/30.17  | | 
% 185.69/30.17  | | Case 1:
% 185.69/30.17  | | | 
% 185.69/30.17  | | |   (44)  all_56_6 = e1 & op(e1, e3) = e1
% 185.69/30.17  | | | 
% 185.69/30.17  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 185.69/30.17  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 185.69/30.17  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 185.69/30.17  | | |            (34), (35), (36), (37), (38), (39), (40), (41), (44) are
% 185.69/30.17  | | |            inconsistent by sub-proof #764.
% 185.69/30.17  | | | 
% 185.69/30.17  | | Case 2:
% 185.69/30.17  | | | 
% 185.69/30.17  | | |   (45)  all_56_7 = e1 & op(e1, e2) = e1
% 185.69/30.17  | | | 
% 185.69/30.17  | | | ALPHA: (45) implies:
% 185.69/30.17  | | |   (46)  all_56_7 = e1
% 185.69/30.17  | | | 
% 185.69/30.17  | | | REF_CLOSE: (5), (10), (11), (15), (18), (20), (26), (29), (31), (42), (46)
% 185.69/30.17  | | |            are inconsistent by sub-proof #759.
% 185.69/30.17  | | | 
% 185.69/30.17  | | End of split
% 185.69/30.17  | | 
% 185.69/30.17  | Case 2:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (47)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 185.69/30.17  | |           e1)
% 185.69/30.17  | | 
% 185.69/30.17  | | REF_CLOSE: (2), (3), (10), (11), (14), (15), (18), (20), (31), (35), (37),
% 185.69/30.17  | |            (38), (47) are inconsistent by sub-proof #758.
% 185.69/30.17  | | 
% 185.69/30.17  | End of split
% 185.69/30.17  | 
% 185.69/30.17  End of proof
% 185.69/30.17  
% 185.69/30.17  Sub-proof #729 shows that the following formulas are inconsistent:
% 185.69/30.17  ----------------------------------------------------------------
% 185.69/30.17    (1)   ~ (all_52_14 = e0)
% 185.69/30.17    (2)  all_56_10 = e2
% 185.69/30.17    (3)  op(e1, e0) = all_52_14
% 185.69/30.17    (4)   ~ (e3 = e0)
% 185.69/30.17    (5)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) = e0) |
% 185.69/30.17         (all_56_11 = e0 & op(e1, e0) = e0)
% 185.69/30.17    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.17    (7)  op(e2, e0) = all_52_13
% 185.69/30.17    (8)   ~ (e3 = e2)
% 185.69/30.17    (9)   ~ (all_52_13 = e0)
% 185.69/30.17    (10)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.69/30.17  
% 185.69/30.17  Begin of proof
% 185.69/30.17  | 
% 185.69/30.17  | BETA: splitting (10) gives:
% 185.69/30.17  | 
% 185.69/30.17  | Case 1:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (11)  all_56_9 = e3 & op(e3, e0) = e3
% 185.69/30.17  | | 
% 185.69/30.17  | | ALPHA: (11) implies:
% 185.69/30.17  | |   (12)  op(e3, e0) = e3
% 185.69/30.17  | | 
% 185.69/30.17  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (12) are inconsistent by
% 185.69/30.17  | |            sub-proof #730.
% 185.69/30.17  | | 
% 185.69/30.17  | Case 2:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (13)  all_56_10 = e3 & op(e2, e0) = e3
% 185.69/30.17  | | 
% 185.69/30.17  | | ALPHA: (13) implies:
% 185.69/30.17  | |   (14)  all_56_10 = e3
% 185.69/30.17  | | 
% 185.69/30.17  | | REF_CLOSE: (2), (8), (14) are inconsistent by sub-proof #958.
% 185.69/30.17  | | 
% 185.69/30.17  | End of split
% 185.69/30.17  | 
% 185.69/30.17  End of proof
% 185.69/30.17  
% 185.69/30.17  Sub-proof #730 shows that the following formulas are inconsistent:
% 185.69/30.17  ----------------------------------------------------------------
% 185.69/30.17    (1)   ~ (all_52_14 = e0)
% 185.69/30.17    (2)  op(e1, e0) = all_52_14
% 185.69/30.17    (3)   ~ (e3 = e0)
% 185.69/30.17    (4)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) = e0) |
% 185.69/30.17         (all_56_11 = e0 & op(e1, e0) = e0)
% 185.69/30.17    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.17    (6)  op(e2, e0) = all_52_13
% 185.69/30.17    (7)   ~ (all_52_13 = e0)
% 185.69/30.17    (8)  op(e3, e0) = e3
% 185.69/30.17  
% 185.69/30.17  Begin of proof
% 185.69/30.17  | 
% 185.69/30.17  | BETA: splitting (4) gives:
% 185.69/30.17  | 
% 185.69/30.17  | Case 1:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (9)  all_56_9 = e0 & op(e3, e0) = e0
% 185.69/30.17  | | 
% 185.69/30.17  | | ALPHA: (9) implies:
% 185.69/30.17  | |   (10)  op(e3, e0) = e0
% 185.69/30.17  | | 
% 185.69/30.17  | | REF_CLOSE: (3), (5), (8), (10) are inconsistent by sub-proof #1189.
% 185.69/30.17  | | 
% 185.69/30.17  | Case 2:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (11)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.69/30.17  | |           e0)
% 185.69/30.17  | | 
% 185.69/30.17  | | REF_CLOSE: (1), (2), (5), (6), (7), (11) are inconsistent by sub-proof
% 185.69/30.17  | |            #1304.
% 185.69/30.17  | | 
% 185.69/30.17  | End of split
% 185.69/30.17  | 
% 185.69/30.17  End of proof
% 185.69/30.17  
% 185.69/30.17  Sub-proof #731 shows that the following formulas are inconsistent:
% 185.69/30.17  ----------------------------------------------------------------
% 185.69/30.17    (1)  all_56_4 = e1 & op(e3, e1) = e1
% 185.69/30.17    (2)  all_56_4 = e3
% 185.69/30.17    (3)   ~ (e3 = e1)
% 185.69/30.17  
% 185.69/30.17  Begin of proof
% 185.69/30.17  | 
% 185.69/30.17  | ALPHA: (1) implies:
% 185.69/30.17  |   (4)  all_56_4 = e1
% 185.69/30.17  | 
% 185.69/30.17  | COMBINE_EQS: (2), (4) imply:
% 185.69/30.17  |   (5)  e3 = e1
% 185.69/30.17  | 
% 185.69/30.17  | REDUCE: (3), (5) imply:
% 185.69/30.17  |   (6)  $false
% 185.69/30.17  | 
% 185.69/30.17  | CLOSE: (6) is inconsistent.
% 185.69/30.17  | 
% 185.69/30.17  End of proof
% 185.69/30.17  
% 185.69/30.17  Sub-proof #732 shows that the following formulas are inconsistent:
% 185.69/30.17  ----------------------------------------------------------------
% 185.69/30.17    (1)   ~ (all_4_2 = e0)
% 185.69/30.17    (2)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.17         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.69/30.17    (3)   ~ (e1 = e0)
% 185.69/30.17    (4)   ~ (e3 = e0)
% 185.69/30.17    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.69/30.17         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.17    (6)   ~ (e2 = e0)
% 185.69/30.17    (7)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.17         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.69/30.17    (8)   ~ (e3 = e1)
% 185.69/30.17    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.17    (10)   ~ (all_52_6 = e2)
% 185.69/30.17    (11)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.69/30.17          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.69/30.17    (12)  all_56_4 = e3
% 185.69/30.17    (13)  op(e2, e2) = e1
% 185.69/30.17    (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.69/30.17          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.69/30.17    (15)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.17          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.69/30.17    (16)   ~ (e3 = e2)
% 185.69/30.17    (17)  op(e3, e1) = all_52_8
% 185.69/30.17    (18)  op(e3, e3) = all_4_2
% 185.69/30.17    (19)  all_56_1 = e1
% 185.69/30.17    (20)  op(e1, e2) = all_52_6
% 185.69/30.17    (21)  op(e3, e3) = e3
% 185.69/30.17    (22)   ~ (e2 = e1)
% 185.69/30.17  
% 185.69/30.17  Begin of proof
% 185.69/30.17  | 
% 185.69/30.17  | BETA: splitting (14) gives:
% 185.69/30.17  | 
% 185.69/30.17  | Case 1:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (23)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 185.69/30.17  | |           e2)
% 185.69/30.17  | | 
% 185.69/30.17  | | REF_CLOSE: (9), (16), (19), (21), (22), (23) are inconsistent by sub-proof
% 185.69/30.17  | |            #1395.
% 185.69/30.17  | | 
% 185.69/30.17  | Case 2:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (24)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 185.69/30.17  | |           e2)
% 185.69/30.17  | | 
% 185.69/30.17  | | BETA: splitting (24) gives:
% 185.69/30.17  | | 
% 185.69/30.17  | | Case 1:
% 185.69/30.17  | | | 
% 185.69/30.17  | | |   (25)  all_56_4 = e2 & op(e3, e1) = e2
% 185.69/30.17  | | | 
% 185.69/30.17  | | | REF_CLOSE: (12), (16), (25) are inconsistent by sub-proof #733.
% 185.69/30.17  | | | 
% 185.69/30.17  | | Case 2:
% 185.69/30.17  | | | 
% 185.69/30.17  | | |   (26)  all_56_9 = e2 & op(e3, e0) = e2
% 185.69/30.17  | | | 
% 185.69/30.17  | | | ALPHA: (26) implies:
% 185.69/30.17  | | |   (27)  all_56_9 = e2
% 185.69/30.17  | | | 
% 185.69/30.17  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 185.69/30.17  | | |            (14), (15), (16), (17), (18), (19), (20), (22), (27) are
% 185.69/30.17  | | |            inconsistent by sub-proof #771.
% 185.69/30.17  | | | 
% 185.69/30.17  | | End of split
% 185.69/30.17  | | 
% 185.69/30.17  | End of split
% 185.69/30.17  | 
% 185.69/30.17  End of proof
% 185.69/30.17  
% 185.69/30.17  Sub-proof #733 shows that the following formulas are inconsistent:
% 185.69/30.17  ----------------------------------------------------------------
% 185.69/30.17    (1)  all_56_4 = e2 & op(e3, e1) = e2
% 185.69/30.17    (2)  all_56_4 = e3
% 185.69/30.17    (3)   ~ (e3 = e2)
% 185.69/30.17  
% 185.69/30.17  Begin of proof
% 185.69/30.17  | 
% 185.69/30.17  | ALPHA: (1) implies:
% 185.69/30.17  |   (4)  all_56_4 = e2
% 185.69/30.17  | 
% 185.69/30.17  | COMBINE_EQS: (2), (4) imply:
% 185.69/30.17  |   (5)  e3 = e2
% 185.69/30.17  | 
% 185.69/30.17  | REDUCE: (3), (5) imply:
% 185.69/30.17  |   (6)  $false
% 185.69/30.17  | 
% 185.69/30.17  | CLOSE: (6) is inconsistent.
% 185.69/30.17  | 
% 185.69/30.17  End of proof
% 185.69/30.17  
% 185.69/30.17  Sub-proof #734 shows that the following formulas are inconsistent:
% 185.69/30.17  ----------------------------------------------------------------
% 185.69/30.17    (1)  all_56_10 = e2
% 185.69/30.17    (2)   ~ (e1 = e0)
% 185.69/30.17    (3)  all_56_2 = e2
% 185.69/30.17    (4)   ~ (e3 = e0)
% 185.69/30.17    (5)   ~ (e2 = e0)
% 185.69/30.17    (6)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.17         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.69/30.17    (7)   ~ (e3 = e1)
% 185.69/30.17    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.17    (9)  op(e2, e3) = e2
% 185.69/30.17    (10)  op(e2, e2) = e1
% 185.69/30.17    (11)   ~ (e3 = e2)
% 185.69/30.17    (12)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.17          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.69/30.17  
% 185.69/30.17  Begin of proof
% 185.69/30.17  | 
% 185.69/30.17  | BETA: splitting (6) gives:
% 185.69/30.17  | 
% 185.69/30.17  | Case 1:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (13)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 185.69/30.17  | |           e0)
% 185.69/30.17  | | 
% 185.69/30.17  | | REF_CLOSE: (2), (5), (8), (9), (10), (13) are inconsistent by sub-proof
% 185.69/30.17  | |            #1309.
% 185.69/30.17  | | 
% 185.69/30.17  | Case 2:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (14)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 185.69/30.17  | |           e0)
% 185.69/30.17  | | 
% 185.69/30.17  | | BETA: splitting (14) gives:
% 185.69/30.17  | | 
% 185.69/30.17  | | Case 1:
% 185.69/30.17  | | | 
% 185.69/30.17  | | |   (15)  all_56_5 = e0 & op(e2, e1) = e0
% 185.69/30.17  | | | 
% 185.69/30.17  | | | ALPHA: (15) implies:
% 185.69/30.17  | | |   (16)  all_56_5 = e0
% 185.69/30.17  | | | 
% 185.69/30.17  | | | REF_CLOSE: (1), (3), (4), (7), (8), (10), (11), (12), (16) are
% 185.69/30.17  | | |            inconsistent by sub-proof #1330.
% 185.69/30.17  | | | 
% 185.69/30.17  | | Case 2:
% 185.69/30.17  | | | 
% 185.69/30.17  | | |   (17)  all_56_10 = e0 & op(e2, e0) = e0
% 185.69/30.17  | | | 
% 185.69/30.17  | | | REF_CLOSE: (1), (5), (17) are inconsistent by sub-proof #1160.
% 185.69/30.17  | | | 
% 185.69/30.17  | | End of split
% 185.69/30.17  | | 
% 185.69/30.17  | End of split
% 185.69/30.17  | 
% 185.69/30.17  End of proof
% 185.69/30.17  
% 185.69/30.17  Sub-proof #735 shows that the following formulas are inconsistent:
% 185.69/30.17  ----------------------------------------------------------------
% 185.69/30.17    (1)  op(e0, e0) = all_6_2
% 185.69/30.17    (2)  all_56_10 = e3
% 185.69/30.17    (3)  all_56_9 = e2
% 185.69/30.17    (4)   ~ (all_4_2 = e0)
% 185.69/30.17    (5)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.17         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.69/30.17    (6)   ~ (all_6_2 = e1)
% 185.69/30.17    (7)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.69/30.17         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.69/30.17    (8)   ~ (e1 = e0)
% 185.69/30.17    (9)   ~ (e3 = e0)
% 185.69/30.17    (10)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.69/30.17          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.69/30.17    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.69/30.17          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.17    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.69/30.17          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.69/30.17    (13)   ~ (e2 = e0)
% 185.69/30.17    (14)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.17          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.69/30.17    (15)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.17          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.69/30.17    (16)   ~ (e3 = e1)
% 185.69/30.17    (17)   ~ (all_6_2 = e2)
% 185.69/30.17    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.17            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.17    (19)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.69/30.17          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.17    (20)   ~ (all_52_6 = e2)
% 185.69/30.17    (21)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.69/30.17          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.69/30.17    (22)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.17          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.69/30.17    (23)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.69/30.17          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.69/30.17    (24)  op(e2, e2) = e1
% 185.69/30.17    (25)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.69/30.17          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.69/30.17    (26)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.69/30.17          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.69/30.17            e1)
% 185.69/30.17    (27)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.17          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.69/30.17    (28)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.69/30.17          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.69/30.17    (29)   ~ (e3 = e2)
% 185.69/30.17    (30)  op(e3, e1) = all_52_8
% 185.69/30.17    (31)  op(e3, e3) = all_4_2
% 185.69/30.17    (32)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.17          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.69/30.17    (33)  op(e1, e2) = all_52_6
% 185.69/30.17    (34)  all_56_11 = e0
% 185.69/30.17    (35)  op(e1, e1) = e2
% 185.69/30.17    (36)   ~ (e2 = e1)
% 185.69/30.17    (37)   ~ (all_4_2 = e1)
% 185.69/30.17    (38)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.69/30.17          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.69/30.17    (39)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.69/30.17          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.69/30.17  
% 185.69/30.17  Begin of proof
% 185.69/30.17  | 
% 185.69/30.17  | BETA: splitting (10) gives:
% 185.69/30.17  | 
% 185.69/30.17  | Case 1:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (40)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 185.69/30.17  | |           e1)
% 185.69/30.17  | | 
% 185.69/30.17  | | BETA: splitting (40) gives:
% 185.69/30.17  | | 
% 185.69/30.17  | | Case 1:
% 185.69/30.17  | | | 
% 185.69/30.17  | | |   (41)  all_56_9 = e1 & op(e3, e0) = e1
% 185.69/30.17  | | | 
% 185.69/30.17  | | | ALPHA: (41) implies:
% 185.69/30.17  | | |   (42)  all_56_9 = e1
% 185.69/30.17  | | | 
% 185.69/30.17  | | | REF_CLOSE: (1), (2), (13), (17), (18), (28), (29), (34), (36), (42) are
% 185.69/30.17  | | |            inconsistent by sub-proof #1498.
% 185.69/30.17  | | | 
% 185.69/30.17  | | Case 2:
% 185.69/30.17  | | | 
% 185.69/30.17  | | |   (43)  all_56_10 = e1 & op(e2, e0) = e1
% 185.69/30.17  | | | 
% 185.69/30.17  | | | ALPHA: (43) implies:
% 185.69/30.17  | | |   (44)  all_56_10 = e1
% 185.69/30.17  | | | 
% 185.69/30.17  | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 185.69/30.17  | | |            (15), (16), (18), (19), (20), (21), (22), (23), (24), (25),
% 185.69/30.17  | | |            (26), (27), (29), (30), (31), (32), (33), (35), (36), (37),
% 185.69/30.17  | | |            (38), (39), (44) are inconsistent by sub-proof #766.
% 185.69/30.17  | | | 
% 185.69/30.17  | | End of split
% 185.69/30.17  | | 
% 185.69/30.17  | Case 2:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (45)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.69/30.17  | |           e1)
% 185.69/30.17  | | 
% 185.69/30.17  | | BETA: splitting (45) gives:
% 185.69/30.17  | | 
% 185.69/30.17  | | Case 1:
% 185.69/30.17  | | | 
% 185.69/30.17  | | |   (46)  all_56_11 = e1 & op(e1, e0) = e1
% 185.69/30.17  | | | 
% 185.69/30.17  | | | ALPHA: (46) implies:
% 185.69/30.17  | | |   (47)  all_56_11 = e1
% 185.69/30.17  | | | 
% 185.69/30.17  | | | REF_CLOSE: (8), (34), (47) are inconsistent by sub-proof #736.
% 185.69/30.17  | | | 
% 185.69/30.17  | | Case 2:
% 185.69/30.17  | | | 
% 185.69/30.17  | | |   (48)  all_56_15 = e1 & op(e0, e0) = e1
% 185.69/30.17  | | | 
% 185.69/30.17  | | | ALPHA: (48) implies:
% 185.69/30.17  | | |   (49)  op(e0, e0) = e1
% 185.69/30.17  | | | 
% 185.69/30.17  | | | REF_CLOSE: (1), (6), (18), (49) are inconsistent by sub-proof #1516.
% 185.69/30.17  | | | 
% 185.69/30.17  | | End of split
% 185.69/30.17  | | 
% 185.69/30.17  | End of split
% 185.69/30.17  | 
% 185.69/30.17  End of proof
% 185.69/30.17  
% 185.69/30.17  Sub-proof #736 shows that the following formulas are inconsistent:
% 185.69/30.17  ----------------------------------------------------------------
% 185.69/30.17    (1)  all_56_11 = e1
% 185.69/30.17    (2)  all_56_11 = e0
% 185.69/30.17    (3)   ~ (e1 = e0)
% 185.69/30.17  
% 185.69/30.17  Begin of proof
% 185.69/30.17  | 
% 185.69/30.17  | COMBINE_EQS: (1), (2) imply:
% 185.69/30.17  |   (4)  e1 = e0
% 185.69/30.17  | 
% 185.69/30.17  | SIMP: (4) implies:
% 185.69/30.17  |   (5)  e1 = e0
% 185.69/30.17  | 
% 185.69/30.17  | REDUCE: (3), (5) imply:
% 185.69/30.17  |   (6)  $false
% 185.69/30.17  | 
% 185.69/30.17  | CLOSE: (6) is inconsistent.
% 185.69/30.17  | 
% 185.69/30.17  End of proof
% 185.69/30.17  
% 185.69/30.17  Sub-proof #737 shows that the following formulas are inconsistent:
% 185.69/30.17  ----------------------------------------------------------------
% 185.69/30.17    (1)  all_54_4 = e1 | all_54_4 = e0
% 185.69/30.17    (2)  all_54_4 = all_52_1
% 185.69/30.17    (3)   ~ (all_52_1 = e1)
% 185.69/30.17    (4)   ~ (all_52_1 = e0)
% 185.69/30.17  
% 185.69/30.17  Begin of proof
% 185.69/30.17  | 
% 185.69/30.17  | BETA: splitting (1) gives:
% 185.69/30.17  | 
% 185.69/30.17  | Case 1:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (5)  all_54_4 = e1
% 185.69/30.17  | | 
% 185.69/30.17  | | COMBINE_EQS: (2), (5) imply:
% 185.69/30.17  | |   (6)  all_52_1 = e1
% 185.69/30.17  | | 
% 185.69/30.17  | | REDUCE: (3), (6) imply:
% 185.69/30.17  | |   (7)  $false
% 185.69/30.17  | | 
% 185.69/30.17  | | CLOSE: (7) is inconsistent.
% 185.69/30.17  | | 
% 185.69/30.17  | Case 2:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (8)  all_54_4 = e0
% 185.69/30.17  | | 
% 185.69/30.17  | | COMBINE_EQS: (2), (8) imply:
% 185.69/30.17  | |   (9)  all_52_1 = e0
% 185.69/30.17  | | 
% 185.69/30.17  | | REDUCE: (4), (9) imply:
% 185.69/30.17  | |   (10)  $false
% 185.69/30.17  | | 
% 185.69/30.17  | | CLOSE: (10) is inconsistent.
% 185.69/30.17  | | 
% 185.69/30.17  | End of split
% 185.69/30.17  | 
% 185.69/30.17  End of proof
% 185.69/30.17  
% 185.69/30.17  Sub-proof #738 shows that the following formulas are inconsistent:
% 185.69/30.17  ----------------------------------------------------------------
% 185.69/30.17    (1)  all_56_6 = e0
% 185.69/30.17    (2)  all_56_2 = e2
% 185.69/30.17    (3)   ~ (e3 = e0)
% 185.69/30.17    (4)  op(e0, e3) = e1
% 185.69/30.17    (5)  all_56_0 = e1
% 185.69/30.17    (6)   ~ (e3 = e1)
% 185.69/30.17    (7)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.69/30.17         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.69/30.17    (8)  op(e0, e3) = all_52_3
% 185.69/30.17    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.17    (10)   ~ (e3 = e2)
% 185.69/30.17  
% 185.69/30.17  Begin of proof
% 185.69/30.17  | 
% 185.69/30.17  | BETA: splitting (7) gives:
% 185.69/30.17  | 
% 185.69/30.17  | Case 1:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (11)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 185.69/30.17  | |           e3)
% 185.69/30.17  | | 
% 185.69/30.17  | | BETA: splitting (11) gives:
% 185.69/30.17  | | 
% 185.69/30.17  | | Case 1:
% 185.69/30.17  | | | 
% 185.69/30.17  | | |   (12)  all_56_0 = e3 & op(e3, e3) = e3
% 185.69/30.17  | | | 
% 185.69/30.17  | | | REF_CLOSE: (5), (6), (12) are inconsistent by sub-proof #951.
% 185.69/30.17  | | | 
% 185.69/30.17  | | Case 2:
% 185.69/30.17  | | | 
% 185.69/30.17  | | |   (13)  all_56_2 = e3 & op(e2, e3) = e3
% 185.69/30.17  | | | 
% 185.69/30.17  | | | ALPHA: (13) implies:
% 185.69/30.17  | | |   (14)  all_56_2 = e3
% 185.69/30.17  | | | 
% 185.69/30.17  | | | REF_CLOSE: (2), (10), (14) are inconsistent by sub-proof #1414.
% 185.69/30.17  | | | 
% 185.69/30.17  | | End of split
% 185.69/30.17  | | 
% 185.69/30.17  | Case 2:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (15)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 185.69/30.17  | |           e3)
% 185.69/30.17  | | 
% 185.69/30.17  | | REF_CLOSE: (1), (3), (4), (6), (8), (9), (15) are inconsistent by sub-proof
% 185.69/30.17  | |            #739.
% 185.69/30.17  | | 
% 185.69/30.17  | End of split
% 185.69/30.17  | 
% 185.69/30.17  End of proof
% 185.69/30.17  
% 185.69/30.17  Sub-proof #739 shows that the following formulas are inconsistent:
% 185.69/30.17  ----------------------------------------------------------------
% 185.69/30.17    (1)  all_56_6 = e0
% 185.69/30.17    (2)   ~ (e3 = e0)
% 185.69/30.17    (3)  op(e0, e3) = e1
% 185.69/30.17    (4)   ~ (e3 = e1)
% 185.69/30.17    (5)  op(e0, e3) = all_52_3
% 185.69/30.17    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.17    (7)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.69/30.17  
% 185.69/30.17  Begin of proof
% 185.69/30.17  | 
% 185.69/30.17  | BETA: splitting (7) gives:
% 185.69/30.17  | 
% 185.69/30.17  | Case 1:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (8)  all_56_6 = e3 & op(e1, e3) = e3
% 185.69/30.17  | | 
% 185.69/30.17  | | ALPHA: (8) implies:
% 185.69/30.17  | |   (9)  all_56_6 = e3
% 185.69/30.17  | | 
% 185.69/30.17  | | REF_CLOSE: (1), (2), (9) are inconsistent by sub-proof #1556.
% 185.69/30.17  | | 
% 185.69/30.17  | Case 2:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (10)  all_56_12 = e3 & op(e0, e3) = e3
% 185.69/30.17  | | 
% 185.69/30.17  | | ALPHA: (10) implies:
% 185.69/30.17  | |   (11)  op(e0, e3) = e3
% 185.69/30.17  | | 
% 185.69/30.17  | | REF_CLOSE: (3), (4), (5), (6), (11) are inconsistent by sub-proof #1529.
% 185.69/30.17  | | 
% 185.69/30.17  | End of split
% 185.69/30.17  | 
% 185.69/30.17  End of proof
% 185.69/30.17  
% 185.69/30.17  Sub-proof #740 shows that the following formulas are inconsistent:
% 185.69/30.17  ----------------------------------------------------------------
% 185.69/30.17    (1)  op(e0, e2) = e2
% 185.69/30.17    (2)  op(e0, e3) = e1
% 185.69/30.17    (3)   ~ (e3 = e1)
% 185.69/30.17    (4)   ~ (all_52_4 = all_52_7)
% 185.69/30.17    (5)  op(e0, e3) = all_52_3
% 185.69/30.17    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.17           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.17    (7)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 185.69/30.17             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.69/30.17           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.69/30.17             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.69/30.17           all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 185.69/30.17           & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.69/30.17           $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2
% 185.69/30.17           & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.69/30.17           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.69/30.17             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.69/30.17             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 185.69/30.17           op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 185.69/30.17           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.69/30.17           $i(all_57_29))
% 185.69/30.17    (8)  op(e3, e2) = all_52_4
% 185.69/30.17    (9)  op(e0, e2) = all_52_7
% 185.69/30.17  
% 185.69/30.17  Begin of proof
% 185.69/30.17  | 
% 185.69/30.17  | BETA: splitting (7) gives:
% 185.69/30.17  | 
% 185.69/30.17  | Case 1:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (10)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~
% 185.69/30.17  | |         (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~
% 185.69/30.17  | |         (all_57_28 = e0) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.69/30.17  | |         = all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 185.69/30.17  | |         op(e3, e2) = all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.69/30.17  | |         op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 185.69/30.17  | |         $i(all_57_16) & $i(all_57_17) & $i(all_57_28)
% 185.69/30.17  | | 
% 185.69/30.17  | | ALPHA: (10) implies:
% 185.69/30.17  | |   (11)  op(e0, e3) = e3
% 185.69/30.17  | | 
% 185.69/30.17  | | REF_CLOSE: (2), (3), (5), (6), (11) are inconsistent by sub-proof #1529.
% 185.69/30.17  | | 
% 185.69/30.17  | Case 2:
% 185.69/30.17  | | 
% 185.69/30.17  | |   (12)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~
% 185.69/30.17  | |         (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~
% 185.69/30.17  | |         (all_57_29 = e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 &
% 185.69/30.17  | |         op(e2, all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.69/30.17  | |           e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 185.69/30.17  | |         op(e2, e0) = all_57_21 & $i(all_57_5) & $i(all_57_6) & $i(all_57_7)
% 185.69/30.17  | |         & $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 185.69/30.17  | | 
% 185.69/30.17  | | ALPHA: (12) implies:
% 185.69/30.17  | |   (13)  op(e3, e2) = e2
% 185.69/30.17  | | 
% 185.69/30.17  | | REF_CLOSE: (1), (4), (6), (8), (9), (13) are inconsistent by sub-proof
% 185.69/30.17  | |            #1342.
% 185.69/30.17  | | 
% 185.69/30.17  | End of split
% 185.69/30.17  | 
% 185.69/30.17  End of proof
% 185.69/30.17  
% 185.69/30.17  Sub-proof #741 shows that the following formulas are inconsistent:
% 185.69/30.17  ----------------------------------------------------------------
% 185.69/30.17    (1)  op(e0, e0) = all_6_2
% 185.69/30.17    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.69/30.17         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.69/30.17    (3)   ~ (all_4_2 = e0)
% 185.69/30.17    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.17         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.69/30.17    (5)   ~ (all_6_2 = e1)
% 185.69/30.17    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.69/30.17         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.69/30.17    (7)   ~ (e1 = e0)
% 185.69/30.17    (8)  op(e0, e2) = e2
% 185.69/30.17    (9)   ~ (e3 = e0)
% 185.69/30.17    (10)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.69/30.17          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.69/30.17    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.69/30.17          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.17    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.69/30.17          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.69/30.17    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.69/30.17          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.69/30.17    (14)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.69/30.17          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.69/30.17    (15)   ~ (e2 = e0)
% 185.69/30.17    (16)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.17          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.69/30.17    (17)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.17          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.69/30.17    (18)   ~ (e3 = e1)
% 185.69/30.17    (19)   ~ (all_52_4 = all_52_7)
% 185.69/30.17    (20)   ~ (all_6_2 = e2)
% 185.69/30.17    (21)  op(e2, e3) = all_52_1
% 185.69/30.17    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.17            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.17    (23)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.69/30.17          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.17    (24)   ~ (all_52_6 = e2)
% 185.69/30.18    (25)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.69/30.18          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.69/30.18    (26)   ~ (all_52_1 = e1)
% 185.69/30.18    (27)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.18          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.69/30.18    (28)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.69/30.18          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.69/30.18    (29)  op(e2, e2) = e1
% 185.69/30.18    (30)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.69/30.18          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.69/30.18    (31)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.69/30.18          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.69/30.18            e1)
% 185.69/30.18    (32)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.18          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.69/30.18    (33)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.69/30.18          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.69/30.18    (34)   ~ (e3 = e2)
% 185.69/30.18    (35)  op(e3, e1) = all_52_8
% 185.69/30.18    (36)  op(e3, e3) = all_4_2
% 185.69/30.18    (37)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.18          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.69/30.18    (38)  op(e3, e2) = all_52_4
% 185.69/30.18    (39)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.69/30.18          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.69/30.18    (40)  op(e1, e2) = all_52_6
% 185.69/30.18    (41)  op(e3, e3) = e3
% 185.69/30.18    (42)  op(e1, e1) = e2
% 185.69/30.18    (43)   ~ (e2 = e1)
% 185.69/30.18    (44)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 185.69/30.18    (45)  all_56_13 = e2
% 185.69/30.18    (46)  op(e0, e2) = all_52_7
% 185.69/30.18    (47)   ~ (all_4_2 = e1)
% 185.69/30.18    (48)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.69/30.18          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.69/30.18    (49)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.69/30.18          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.69/30.18  
% 185.69/30.18  Begin of proof
% 185.69/30.18  | 
% 185.69/30.18  | BETA: splitting (44) gives:
% 185.69/30.18  | 
% 185.69/30.18  | Case 1:
% 185.69/30.18  | | 
% 185.69/30.18  | |   (50)  all_56_1 = e3 & op(e3, e2) = e3
% 185.69/30.18  | | 
% 185.69/30.18  | | ALPHA: (50) implies:
% 185.69/30.18  | |   (51)  all_56_1 = e3
% 185.69/30.18  | | 
% 185.69/30.18  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.69/30.18  | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 185.69/30.18  | |            (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 185.69/30.18  | |            (35), (36), (37), (38), (39), (40), (41), (42), (43), (45), (46),
% 185.69/30.18  | |            (47), (48), (49), (51) are inconsistent by sub-proof #742.
% 185.69/30.18  | | 
% 185.69/30.18  | Case 2:
% 185.69/30.18  | | 
% 185.69/30.18  | |   (52)  all_56_3 = e3 & op(e2, e2) = e3
% 185.69/30.18  | | 
% 185.69/30.18  | | ALPHA: (52) implies:
% 185.69/30.18  | |   (53)  op(e2, e2) = e3
% 185.69/30.18  | | 
% 185.69/30.18  | | REF_CLOSE: (18), (22), (29), (53) are inconsistent by sub-proof #1347.
% 185.69/30.18  | | 
% 185.69/30.18  | End of split
% 185.69/30.18  | 
% 185.69/30.18  End of proof
% 185.69/30.18  
% 185.69/30.18  Sub-proof #742 shows that the following formulas are inconsistent:
% 185.69/30.18  ----------------------------------------------------------------
% 185.69/30.18    (1)  op(e0, e0) = all_6_2
% 185.69/30.18    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.69/30.18         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.69/30.18    (3)   ~ (all_4_2 = e0)
% 185.69/30.18    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.18         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.69/30.18    (5)   ~ (all_6_2 = e1)
% 185.69/30.18    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.69/30.18         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.69/30.18    (7)   ~ (e1 = e0)
% 185.69/30.18    (8)  op(e0, e2) = e2
% 185.69/30.18    (9)   ~ (e3 = e0)
% 185.69/30.18    (10)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.69/30.18          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.69/30.18    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.69/30.18          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.18    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.69/30.18          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.69/30.18    (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.69/30.18          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.69/30.18    (14)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.69/30.18          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.69/30.18    (15)   ~ (e2 = e0)
% 185.69/30.18    (16)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.18          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.69/30.18    (17)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.18          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.69/30.18    (18)   ~ (e3 = e1)
% 185.69/30.18    (19)   ~ (all_52_4 = all_52_7)
% 185.69/30.18    (20)   ~ (all_6_2 = e2)
% 185.69/30.18    (21)  op(e2, e3) = all_52_1
% 185.69/30.18    (22)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.18            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.18    (23)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.69/30.18          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.18    (24)  all_56_1 = e3
% 185.69/30.18    (25)   ~ (all_52_6 = e2)
% 185.69/30.18    (26)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.69/30.18          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.69/30.18    (27)   ~ (all_52_1 = e1)
% 185.69/30.18    (28)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.18          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.69/30.18    (29)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.69/30.18          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.69/30.18    (30)  op(e2, e2) = e1
% 185.69/30.18    (31)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.69/30.18          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.69/30.18    (32)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.69/30.18          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.69/30.18            e1)
% 185.69/30.18    (33)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.18          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.69/30.18    (34)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.69/30.18          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.69/30.18    (35)   ~ (e3 = e2)
% 185.69/30.18    (36)  op(e3, e1) = all_52_8
% 185.69/30.18    (37)  op(e3, e3) = all_4_2
% 185.69/30.18    (38)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.18          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.69/30.18    (39)  op(e3, e2) = all_52_4
% 185.69/30.18    (40)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.69/30.18          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.69/30.18    (41)  op(e1, e2) = all_52_6
% 185.69/30.18    (42)  op(e3, e3) = e3
% 185.69/30.18    (43)  op(e1, e1) = e2
% 185.69/30.18    (44)   ~ (e2 = e1)
% 185.69/30.18    (45)  all_56_13 = e2
% 185.69/30.18    (46)  op(e0, e2) = all_52_7
% 185.69/30.18    (47)   ~ (all_4_2 = e1)
% 185.69/30.18    (48)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.69/30.18          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.69/30.18    (49)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.69/30.18          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.69/30.18  
% 185.69/30.18  Begin of proof
% 185.69/30.18  | 
% 185.69/30.18  | BETA: splitting (33) gives:
% 185.69/30.18  | 
% 185.69/30.18  | Case 1:
% 185.69/30.18  | | 
% 185.69/30.18  | |   (50)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 185.69/30.18  | |           e0)
% 185.69/30.18  | | 
% 185.69/30.18  | | REF_CLOSE: (7), (9), (22), (24), (30), (50) are inconsistent by sub-proof
% 185.69/30.18  | |            #1032.
% 185.69/30.18  | | 
% 185.69/30.18  | Case 2:
% 185.69/30.18  | | 
% 185.69/30.18  | |   (51)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 185.69/30.18  | |           e0)
% 185.69/30.18  | | 
% 185.69/30.18  | | BETA: splitting (51) gives:
% 185.69/30.18  | | 
% 185.69/30.18  | | Case 1:
% 185.69/30.18  | | | 
% 185.69/30.18  | | |   (52)  all_56_7 = e0 & op(e1, e2) = e0
% 185.69/30.18  | | | 
% 185.69/30.18  | | | ALPHA: (52) implies:
% 185.69/30.18  | | |   (53)  all_56_7 = e0
% 185.69/30.18  | | | 
% 185.69/30.18  | | | BETA: splitting (40) gives:
% 185.69/30.18  | | | 
% 185.69/30.18  | | | Case 1:
% 185.69/30.18  | | | | 
% 185.69/30.18  | | | |   (54)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2)
% 185.69/30.18  | | | |           = e3)
% 185.69/30.18  | | | | 
% 185.69/30.18  | | | | BETA: splitting (54) gives:
% 185.69/30.18  | | | | 
% 185.69/30.18  | | | | Case 1:
% 185.69/30.18  | | | | | 
% 185.69/30.18  | | | | |   (55)  all_56_6 = e3 & op(e1, e3) = e3
% 185.69/30.18  | | | | | 
% 185.69/30.18  | | | | | ALPHA: (55) implies:
% 185.69/30.18  | | | | |   (56)  all_56_6 = e3
% 185.69/30.18  | | | | |   (57)  op(e1, e3) = e3
% 185.69/30.18  | | | | | 
% 185.69/30.18  | | | | | BETA: splitting (13) gives:
% 185.69/30.18  | | | | | 
% 185.69/30.18  | | | | | Case 1:
% 185.69/30.18  | | | | | | 
% 185.69/30.18  | | | | | |   (58)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2,
% 185.69/30.18  | | | | | |             e3) = e1)
% 185.69/30.18  | | | | | | 
% 185.69/30.18  | | | | | | REF_CLOSE: (18), (21), (22), (27), (42), (58) are inconsistent by
% 185.69/30.18  | | | | | |            sub-proof #1094.
% 185.69/30.18  | | | | | | 
% 185.69/30.18  | | | | | Case 2:
% 185.69/30.18  | | | | | | 
% 185.69/30.18  | | | | | |   (59)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0,
% 185.69/30.18  | | | | | |             e3) = e1)
% 185.69/30.18  | | | | | | 
% 185.69/30.18  | | | | | | BETA: splitting (59) gives:
% 185.69/30.18  | | | | | | 
% 185.69/30.18  | | | | | | Case 1:
% 185.69/30.18  | | | | | | | 
% 185.69/30.18  | | | | | | |   (60)  all_56_6 = e1 & op(e1, e3) = e1
% 185.69/30.18  | | | | | | | 
% 185.69/30.18  | | | | | | | REF_CLOSE: (18), (56), (60) are inconsistent by sub-proof #1227.
% 185.69/30.18  | | | | | | | 
% 185.69/30.18  | | | | | | Case 2:
% 185.69/30.18  | | | | | | | 
% 185.69/30.18  | | | | | | |   (61)  all_56_12 = e1 & op(e0, e3) = e1
% 185.69/30.18  | | | | | | | 
% 185.69/30.18  | | | | | | | ALPHA: (61) implies:
% 185.69/30.18  | | | | | | |   (62)  all_56_12 = e1
% 185.69/30.18  | | | | | | |   (63)  op(e0, e3) = e1
% 185.69/30.18  | | | | | | | 
% 185.69/30.18  | | | | | | | BETA: splitting (2) gives:
% 185.69/30.18  | | | | | | | 
% 185.69/30.18  | | | | | | | Case 1:
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | |   (64)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 &
% 185.69/30.18  | | | | | | | |           op(e1, e2) = e1)
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | | BETA: splitting (64) gives:
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | | Case 1:
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | |   (65)  all_56_6 = e1 & op(e1, e3) = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | ALPHA: (65) implies:
% 185.69/30.18  | | | | | | | | |   (66)  all_56_6 = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | REF_CLOSE: (18), (56), (66) are inconsistent by sub-proof
% 185.69/30.18  | | | | | | | | |            #1546.
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | Case 2:
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | |   (67)  all_56_7 = e1 & op(e1, e2) = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | ALPHA: (67) implies:
% 185.69/30.18  | | | | | | | | |   (68)  all_56_7 = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | REF_CLOSE: (7), (9), (15), (22), (24), (30), (33), (45), (68)
% 185.69/30.18  | | | | | | | | |            are inconsistent by sub-proof #762.
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | End of split
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | Case 2:
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | |   (69)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 &
% 185.69/30.18  | | | | | | | |           op(e1, e0) = e1)
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | | BETA: splitting (69) gives:
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | | Case 1:
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | |   (70)  all_56_8 = e1 & op(e1, e1) = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | ALPHA: (70) implies:
% 185.69/30.18  | | | | | | | | |   (71)  op(e1, e1) = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | REF_CLOSE: (22), (43), (44), (71) are inconsistent by
% 185.69/30.18  | | | | | | | | |            sub-proof #1473.
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | Case 2:
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | |   (72)  all_56_11 = e1 & op(e1, e0) = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | ALPHA: (72) implies:
% 185.69/30.18  | | | | | | | | |   (73)  all_56_11 = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | REF_CLOSE: (2), (3), (7), (9), (12), (14), (15), (18), (22),
% 185.69/30.18  | | | | | | | | |            (35), (37), (40), (42), (43), (44), (48), (57),
% 185.69/30.18  | | | | | | | | |            (62), (63), (73) are inconsistent by sub-proof
% 185.69/30.18  | | | | | | | | |            #964.
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | End of split
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | End of split
% 185.69/30.18  | | | | | | | 
% 185.69/30.18  | | | | | | End of split
% 185.69/30.18  | | | | | | 
% 185.69/30.18  | | | | | End of split
% 185.69/30.18  | | | | | 
% 185.69/30.18  | | | | Case 2:
% 185.69/30.18  | | | | | 
% 185.69/30.18  | | | | |   (74)  all_56_7 = e3 & op(e1, e2) = e3
% 185.69/30.18  | | | | | 
% 185.69/30.18  | | | | | ALPHA: (74) implies:
% 185.69/30.18  | | | | |   (75)  all_56_7 = e3
% 185.69/30.18  | | | | | 
% 185.69/30.18  | | | | | REF_CLOSE: (9), (53), (75) are inconsistent by sub-proof #1464.
% 185.69/30.18  | | | | | 
% 185.69/30.18  | | | | End of split
% 185.69/30.18  | | | | 
% 185.69/30.18  | | | Case 2:
% 185.69/30.18  | | | | 
% 185.69/30.18  | | | |   (76)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0)
% 185.69/30.18  | | | |           = e3)
% 185.69/30.18  | | | | 
% 185.69/30.18  | | | | BETA: splitting (76) gives:
% 185.69/30.18  | | | | 
% 185.69/30.18  | | | | Case 1:
% 185.69/30.18  | | | | | 
% 185.69/30.18  | | | | |   (77)  all_56_8 = e3 & op(e1, e1) = e3
% 185.69/30.18  | | | | | 
% 185.69/30.18  | | | | | ALPHA: (77) implies:
% 185.69/30.18  | | | | |   (78)  op(e1, e1) = e3
% 185.69/30.18  | | | | | 
% 185.69/30.18  | | | | | REF_CLOSE: (22), (35), (43), (78) are inconsistent by sub-proof #1164.
% 185.69/30.18  | | | | | 
% 185.69/30.18  | | | | Case 2:
% 185.69/30.18  | | | | | 
% 185.69/30.18  | | | | |   (79)  all_56_11 = e3 & op(e1, e0) = e3
% 185.69/30.18  | | | | | 
% 185.69/30.18  | | | | | ALPHA: (79) implies:
% 185.69/30.18  | | | | |   (80)  all_56_11 = e3
% 185.69/30.18  | | | | | 
% 185.69/30.18  | | | | | BETA: splitting (31) gives:
% 185.69/30.18  | | | | | 
% 185.69/30.18  | | | | | Case 1:
% 185.69/30.18  | | | | | | 
% 185.69/30.18  | | | | | |   (81)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3,
% 185.69/30.18  | | | | | |             e2) = e2)
% 185.69/30.18  | | | | | | 
% 185.69/30.18  | | | | | | REF_CLOSE: (8), (19), (22), (35), (39), (42), (46), (81) are
% 185.69/30.18  | | | | | |            inconsistent by sub-proof #743.
% 185.69/30.18  | | | | | | 
% 185.69/30.18  | | | | | Case 2:
% 185.69/30.18  | | | | | | 
% 185.69/30.18  | | | | | |   (82)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3,
% 185.69/30.18  | | | | | |             e0) = e2)
% 185.69/30.18  | | | | | | 
% 185.69/30.18  | | | | | | BETA: splitting (82) gives:
% 185.69/30.18  | | | | | | 
% 185.69/30.18  | | | | | | Case 1:
% 185.69/30.18  | | | | | | | 
% 185.69/30.18  | | | | | | |   (83)  all_56_4 = e2 & op(e3, e1) = e2
% 185.69/30.18  | | | | | | | 
% 185.69/30.18  | | | | | | | ALPHA: (83) implies:
% 185.69/30.18  | | | | | | |   (84)  all_56_4 = e2
% 185.69/30.18  | | | | | | | 
% 185.69/30.18  | | | | | | | BETA: splitting (10) gives:
% 185.69/30.18  | | | | | | | 
% 185.69/30.18  | | | | | | | Case 1:
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | |   (85)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 &
% 185.69/30.18  | | | | | | | |           op(e2, e0) = e1)
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | | BETA: splitting (85) gives:
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | | Case 1:
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | |   (86)  all_56_9 = e1 & op(e3, e0) = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | ALPHA: (86) implies:
% 185.69/30.18  | | | | | | | | |   (87)  all_56_9 = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | REF_CLOSE: (3), (7), (9), (11), (15), (18), (22), (24), (26),
% 185.69/30.18  | | | | | | | | |            (31), (35), (37), (42), (44), (47), (84), (87) are
% 185.69/30.18  | | | | | | | | |            inconsistent by sub-proof #1124.
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | Case 2:
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | |   (88)  all_56_10 = e1 & op(e2, e0) = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | ALPHA: (88) implies:
% 185.69/30.18  | | | | | | | | |   (89)  all_56_10 = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (12),
% 185.69/30.18  | | | | | | | | |            (14), (15), (16), (17), (18), (20), (22), (23),
% 185.69/30.18  | | | | | | | | |            (25), (26), (28), (29), (30), (31), (32), (33),
% 185.69/30.18  | | | | | | | | |            (34), (35), (36), (37), (38), (40), (41), (43),
% 185.69/30.18  | | | | | | | | |            (44), (47), (48), (49), (89) are inconsistent by
% 185.69/30.18  | | | | | | | | |            sub-proof #765.
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | End of split
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | Case 2:
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | |   (90)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 &
% 185.69/30.18  | | | | | | | |           op(e0, e0) = e1)
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | | REF_CLOSE: (1), (5), (18), (22), (80), (90) are inconsistent by
% 185.69/30.18  | | | | | | | |            sub-proof #1110.
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | End of split
% 185.69/30.18  | | | | | | | 
% 185.69/30.18  | | | | | | Case 2:
% 185.69/30.18  | | | | | | | 
% 185.69/30.18  | | | | | | |   (91)  all_56_9 = e2 & op(e3, e0) = e2
% 185.69/30.18  | | | | | | | 
% 185.69/30.18  | | | | | | | ALPHA: (91) implies:
% 185.69/30.18  | | | | | | |   (92)  all_56_9 = e2
% 185.69/30.18  | | | | | | | 
% 185.69/30.18  | | | | | | | BETA: splitting (10) gives:
% 185.69/30.18  | | | | | | | 
% 185.69/30.18  | | | | | | | Case 1:
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | |   (93)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 &
% 185.69/30.18  | | | | | | | |           op(e2, e0) = e1)
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | | BETA: splitting (93) gives:
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | | Case 1:
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | |   (94)  all_56_9 = e1 & op(e3, e0) = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | REF_CLOSE: (44), (92), (94) are inconsistent by sub-proof
% 185.69/30.18  | | | | | | | | |            #1565.
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | Case 2:
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | |   (95)  all_56_10 = e1 & op(e2, e0) = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | ALPHA: (95) implies:
% 185.69/30.18  | | | | | | | | |   (96)  all_56_10 = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (11), (12),
% 185.69/30.18  | | | | | | | | |            (15), (16), (17), (18), (22), (23), (25), (26),
% 185.69/30.18  | | | | | | | | |            (28), (29), (30), (31), (32), (33), (35), (36),
% 185.69/30.18  | | | | | | | | |            (37), (38), (41), (43), (44), (47), (48), (49),
% 185.69/30.18  | | | | | | | | |            (92), (96) are inconsistent by sub-proof #766.
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | End of split
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | Case 2:
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | |   (97)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 &
% 185.69/30.18  | | | | | | | |           op(e0, e0) = e1)
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | | BETA: splitting (97) gives:
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | | Case 1:
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | |   (98)  all_56_11 = e1 & op(e1, e0) = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | ALPHA: (98) implies:
% 185.69/30.18  | | | | | | | | |   (99)  all_56_11 = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | COMBINE_EQS: (80), (99) imply:
% 185.69/30.18  | | | | | | | | |   (100)  e3 = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | COMBINE_EQS: (24), (100) imply:
% 185.69/30.18  | | | | | | | | |   (101)  all_56_1 = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | REF_CLOSE: (3), (4), (7), (9), (11), (15), (17), (18), (22),
% 185.69/30.18  | | | | | | | | |            (25), (29), (30), (31), (33), (35), (36), (37),
% 185.69/30.18  | | | | | | | | |            (41), (44), (92), (101) are inconsistent by
% 185.69/30.18  | | | | | | | | |            sub-proof #771.
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | Case 2:
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | |   (102)  all_56_15 = e1 & op(e0, e0) = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | ALPHA: (102) implies:
% 185.69/30.18  | | | | | | | | |   (103)  op(e0, e0) = e1
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | | REF_CLOSE: (1), (5), (22), (103) are inconsistent by sub-proof
% 185.69/30.18  | | | | | | | | |            #1516.
% 185.69/30.18  | | | | | | | | | 
% 185.69/30.18  | | | | | | | | End of split
% 185.69/30.18  | | | | | | | | 
% 185.69/30.18  | | | | | | | End of split
% 185.69/30.18  | | | | | | | 
% 185.69/30.18  | | | | | | End of split
% 185.69/30.18  | | | | | | 
% 185.69/30.18  | | | | | End of split
% 185.69/30.18  | | | | | 
% 185.69/30.18  | | | | End of split
% 185.69/30.18  | | | | 
% 185.69/30.18  | | | End of split
% 185.69/30.18  | | | 
% 185.69/30.18  | | Case 2:
% 185.69/30.18  | | | 
% 185.69/30.18  | | |   (104)  all_56_13 = e0 & op(e0, e2) = e0
% 185.69/30.18  | | | 
% 185.69/30.18  | | | REF_CLOSE: (15), (45), (104) are inconsistent by sub-proof #1154.
% 185.69/30.18  | | | 
% 185.69/30.18  | | End of split
% 185.69/30.18  | | 
% 185.69/30.18  | End of split
% 185.69/30.18  | 
% 185.69/30.18  End of proof
% 185.69/30.18  
% 185.69/30.18  Sub-proof #743 shows that the following formulas are inconsistent:
% 185.69/30.18  ----------------------------------------------------------------
% 185.69/30.18    (1)  op(e0, e2) = e2
% 185.69/30.18    (2)   ~ (all_52_4 = all_52_7)
% 185.69/30.18    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.18           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.18    (4)   ~ (e3 = e2)
% 185.69/30.18    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 185.69/30.18    (6)  op(e3, e2) = all_52_4
% 185.69/30.18    (7)  op(e3, e3) = e3
% 185.69/30.18    (8)  op(e0, e2) = all_52_7
% 185.69/30.18  
% 185.69/30.18  Begin of proof
% 185.69/30.18  | 
% 185.69/30.18  | BETA: splitting (5) gives:
% 185.69/30.18  | 
% 185.69/30.18  | Case 1:
% 185.69/30.18  | | 
% 185.69/30.18  | |   (9)  all_56_0 = e2 & op(e3, e3) = e2
% 185.69/30.18  | | 
% 185.69/30.18  | | ALPHA: (9) implies:
% 185.69/30.18  | |   (10)  op(e3, e3) = e2
% 185.69/30.18  | | 
% 185.69/30.18  | | REF_CLOSE: (3), (4), (7), (10) are inconsistent by sub-proof #1594.
% 185.69/30.18  | | 
% 185.69/30.18  | Case 2:
% 185.69/30.18  | | 
% 185.69/30.18  | |   (11)  all_56_1 = e2 & op(e3, e2) = e2
% 185.69/30.18  | | 
% 185.69/30.18  | | ALPHA: (11) implies:
% 185.69/30.18  | |   (12)  op(e3, e2) = e2
% 185.69/30.18  | | 
% 185.69/30.18  | | REF_CLOSE: (1), (2), (3), (6), (8), (12) are inconsistent by sub-proof
% 185.69/30.18  | |            #1342.
% 185.69/30.18  | | 
% 185.69/30.18  | End of split
% 185.69/30.18  | 
% 185.69/30.18  End of proof
% 185.69/30.18  
% 185.69/30.18  Sub-proof #744 shows that the following formulas are inconsistent:
% 185.69/30.18  ----------------------------------------------------------------
% 185.69/30.18    (1)  all_56_9 = e2
% 185.69/30.18    (2)   ~ (all_4_2 = e0)
% 185.69/30.18    (3)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.18         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.69/30.18    (4)   ~ (e1 = e0)
% 185.69/30.18    (5)   ~ (e3 = e0)
% 185.69/30.18    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.69/30.18         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.18    (7)   ~ (e2 = e0)
% 185.69/30.18    (8)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.18         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.69/30.18    (9)   ~ (e3 = e1)
% 185.69/30.18    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.18            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.18    (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 185.69/30.18    (12)   ~ (all_52_6 = e2)
% 185.69/30.18    (13)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.69/30.18          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.69/30.18    (14)  op(e2, e2) = e1
% 185.69/30.18    (15)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.69/30.18          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.69/30.18    (16)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.18          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.69/30.18    (17)   ~ (e3 = e2)
% 185.69/30.18    (18)  op(e3, e1) = all_52_8
% 185.69/30.18    (19)  op(e3, e3) = all_4_2
% 185.69/30.18    (20)  op(e1, e2) = all_52_6
% 185.69/30.18    (21)  op(e3, e3) = e3
% 185.69/30.18    (22)   ~ (e2 = e1)
% 185.69/30.18  
% 185.69/30.18  Begin of proof
% 185.69/30.18  | 
% 185.69/30.18  | BETA: splitting (11) gives:
% 185.69/30.18  | 
% 185.69/30.18  | Case 1:
% 185.69/30.18  | | 
% 185.69/30.18  | |   (23)  all_56_0 = e1 & op(e3, e3) = e1
% 185.69/30.18  | | 
% 185.69/30.18  | | ALPHA: (23) implies:
% 185.69/30.18  | |   (24)  op(e3, e3) = e1
% 185.69/30.18  | | 
% 185.69/30.18  | | REF_CLOSE: (9), (10), (21), (24) are inconsistent by sub-proof #1600.
% 185.69/30.18  | | 
% 185.69/30.18  | Case 2:
% 185.69/30.18  | | 
% 185.69/30.18  | |   (25)  all_56_1 = e1 & op(e3, e2) = e1
% 185.69/30.18  | | 
% 185.69/30.18  | | ALPHA: (25) implies:
% 185.69/30.18  | |   (26)  all_56_1 = e1
% 185.69/30.18  | | 
% 185.69/30.18  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 185.69/30.18  | |            (14), (15), (16), (17), (18), (19), (20), (22), (26) are
% 185.69/30.18  | |            inconsistent by sub-proof #771.
% 185.69/30.18  | | 
% 185.69/30.18  | End of split
% 185.69/30.18  | 
% 185.69/30.18  End of proof
% 185.69/30.18  
% 185.69/30.18  Sub-proof #745 shows that the following formulas are inconsistent:
% 185.69/30.18  ----------------------------------------------------------------
% 185.69/30.18    (1)  op(e0, e0) = all_6_2
% 185.69/30.18    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.69/30.18         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.69/30.18    (3)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.69/30.18    (4)   ~ (all_4_2 = e0)
% 185.69/30.18    (5)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.18         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.69/30.18    (6)   ~ (all_6_2 = e1)
% 185.69/30.18    (7)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.69/30.18         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.69/30.18    (8)   ~ (e1 = e0)
% 185.69/30.18    (9)  op(e1, e0) = all_52_14
% 185.69/30.18    (10)   ~ (all_52_12 = e2)
% 185.69/30.18    (11)   ~ (e3 = e0)
% 185.69/30.18    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.69/30.18          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.18    (13)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.69/30.18          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.69/30.18    (14)  all_56_5 = e3
% 185.69/30.18    (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.69/30.18          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.69/30.18    (16)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.69/30.18          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.69/30.19    (17)  op(e3, e0) = all_52_12
% 185.69/30.19    (18)   ~ (e2 = e0)
% 185.69/30.19    (19)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.19          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.69/30.19    (20)   ~ (all_52_1 = e2)
% 185.69/30.19    (21)  op(e0, e1) = e1
% 185.69/30.19    (22)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.19          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.69/30.19    (23)   ~ (e3 = e1)
% 185.69/30.19    (24)   ~ (all_52_4 = all_52_7)
% 185.69/30.19    (25)   ~ (all_6_2 = e2)
% 185.69/30.19    (26)   ~ (all_52_12 = all_52_14)
% 185.69/30.19    (27)  op(e2, e3) = all_52_1
% 185.69/30.19    (28)  all_54_4 = all_52_1
% 185.69/30.19    (29)   ~ (all_52_7 = e0)
% 185.69/30.19    (30)   ~ (all_52_1 = e3)
% 185.69/30.19    (31)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.19            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.19    (32)  all_56_12 = e2
% 185.69/30.19    (33)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.69/30.19          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.19    (34)   ~ (all_52_6 = e2)
% 185.69/30.19    (35)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.69/30.19          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.69/30.19    (36)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 185.69/30.19              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 185.69/30.19            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.69/30.19              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.69/30.19            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 185.69/30.19            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 185.69/30.19            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 185.69/30.19            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 185.69/30.19            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 185.69/30.19            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.69/30.19              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 185.69/30.19              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.69/30.19            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.69/30.19          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 185.69/30.19              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 185.69/30.19            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.69/30.19              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.69/30.19            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 185.69/30.19            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.69/30.19            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 185.69/30.19            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.69/30.19            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.69/30.19              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.69/30.19              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 185.69/30.19            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 185.69/30.19            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.69/30.19            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 185.69/30.19            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 185.69/30.19            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 185.69/30.19            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 185.69/30.19            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.69/30.19            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 185.69/30.19            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 185.69/30.19            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 185.69/30.19              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 185.69/30.19            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 185.69/30.19            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 185.69/30.19              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 185.69/30.19            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 185.69/30.19            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 185.69/30.19            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 185.69/30.19            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.69/30.19            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.69/30.19              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 185.69/30.19              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 185.69/30.19            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 185.69/30.19            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 185.69/30.19              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 185.69/30.19            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 185.69/30.19            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.69/30.19            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 185.69/30.19            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 185.69/30.19            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 185.69/30.19                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 185.69/30.19                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 185.69/30.19                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.69/30.19                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 185.69/30.19                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.69/30.19                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.69/30.19                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.69/30.19                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.69/30.19                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.69/30.19                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.69/30.19                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 185.69/30.19                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.69/30.19                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 185.69/30.19                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 185.69/30.19                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 185.69/30.19                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 185.69/30.19    (37)   ~ (all_52_1 = e1)
% 185.69/30.19    (38)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.19          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.69/30.19    (39)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.69/30.19          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.69/30.19    (40)  op(e2, e2) = e1
% 185.69/30.19    (41)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.69/30.19          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.69/30.19    (42)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.69/30.19          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.69/30.19            e1)
% 185.69/30.19    (43)   ~ (all_52_12 = e3)
% 185.69/30.19    (44)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.19          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.69/30.19    (45)  op(e2, e0) = all_52_13
% 185.69/30.19    (46)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.69/30.19          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.69/30.19    (47)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 185.69/30.19    (48)   ~ (e3 = e2)
% 185.69/30.19    (49)  op(e3, e1) = all_52_8
% 185.69/30.19    (50)  op(e3, e3) = all_4_2
% 185.69/30.19    (51)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.19          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.69/30.19    (52)  op(e3, e2) = all_52_4
% 185.69/30.19    (53)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.69/30.19          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.69/30.19            e3)
% 185.69/30.19    (54)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.69/30.19          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.69/30.19    (55)  op(e1, e2) = all_52_6
% 185.69/30.19    (56)  op(e2, e1) = e3
% 185.69/30.19    (57)  op(e1, e1) = e2
% 185.69/30.19    (58)   ~ (all_52_13 = e0)
% 185.69/30.19    (59)   ~ (e2 = e1)
% 185.69/30.19    (60)  all_54_3 = all_52_12
% 185.69/30.19    (61)  op(e0, e2) = all_52_7
% 185.69/30.19    (62)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.19              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.69/30.19                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.69/30.19                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.69/30.19    (63)  all_57_31 = e0
% 185.69/30.19    (64)   ~ (all_52_12 = e0)
% 185.69/30.19    (65)   ~ (all_52_8 = e1)
% 185.69/30.19    (66)   ~ (all_4_2 = e1)
% 185.69/30.19    (67)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.69/30.19          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.69/30.19    (68)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.69/30.19          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.69/30.19  
% 185.69/30.19  Begin of proof
% 185.69/30.19  | 
% 185.69/30.19  | BETA: splitting (38) gives:
% 185.69/30.19  | 
% 185.69/30.19  | Case 1:
% 185.69/30.19  | | 
% 185.69/30.19  | |   (69)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 185.69/30.19  | |           e2)
% 185.69/30.19  | | 
% 185.69/30.19  | | REF_CLOSE: (3), (20), (27), (28), (30), (31), (37), (40), (59), (69) are
% 185.69/30.19  | |            inconsistent by sub-proof #774.
% 185.69/30.19  | | 
% 185.69/30.19  | Case 2:
% 185.69/30.19  | | 
% 185.69/30.19  | |   (70)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 185.69/30.19  | |           e2)
% 185.69/30.19  | | 
% 185.69/30.19  | | BETA: splitting (70) gives:
% 185.69/30.19  | | 
% 185.69/30.19  | | Case 1:
% 185.69/30.19  | | | 
% 185.69/30.19  | | |   (71)  all_56_5 = e2 & op(e2, e1) = e2
% 185.69/30.19  | | | 
% 185.69/30.19  | | | ALPHA: (71) implies:
% 185.69/30.19  | | |   (72)  all_56_5 = e2
% 185.69/30.19  | | | 
% 185.69/30.19  | | | REF_CLOSE: (7), (8), (11), (18), (21), (23), (31), (33), (48), (57), (59),
% 185.69/30.19  | | |            (68), (72) are inconsistent by sub-proof #893.
% 185.69/30.19  | | | 
% 185.69/30.19  | | Case 2:
% 185.69/30.19  | | | 
% 185.69/30.19  | | |   (73)  all_56_10 = e2 & op(e2, e0) = e2
% 185.69/30.19  | | | 
% 185.69/30.19  | | | ALPHA: (73) implies:
% 185.69/30.19  | | |   (74)  all_56_10 = e2
% 185.69/30.19  | | | 
% 185.69/30.19  | | | BETA: splitting (53) gives:
% 185.69/30.19  | | | 
% 185.69/30.19  | | | Case 1:
% 185.69/30.19  | | | | 
% 185.69/30.19  | | | |   (75)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0,
% 185.69/30.19  | | | |             e2) = e3)
% 185.69/30.19  | | | | 
% 185.69/30.19  | | | | BETA: splitting (75) gives:
% 185.69/30.19  | | | | 
% 185.69/30.19  | | | | Case 1:
% 185.69/30.19  | | | | | 
% 185.69/30.19  | | | | |   (76)  all_56_12 = e3 & op(e0, e3) = e3
% 185.69/30.19  | | | | | 
% 185.69/30.19  | | | | | ALPHA: (76) implies:
% 185.69/30.19  | | | | |   (77)  all_56_12 = e3
% 185.69/30.19  | | | | | 
% 185.69/30.19  | | | | | REF_CLOSE: (7), (8), (11), (14), (18), (21), (23), (31), (32), (33),
% 185.69/30.19  | | | | |            (48), (57), (59), (68), (77) are inconsistent by sub-proof
% 185.69/30.19  | | | | |            #750.
% 185.69/30.19  | | | | | 
% 185.69/30.19  | | | | Case 2:
% 185.69/30.19  | | | | | 
% 185.69/30.19  | | | | |   (78)  all_56_13 = e3 & op(e0, e2) = e3
% 185.69/30.19  | | | | | 
% 185.69/30.19  | | | | | ALPHA: (78) implies:
% 185.69/30.19  | | | | |   (79)  all_56_13 = e3
% 185.69/30.19  | | | | | 
% 185.69/30.19  | | | | | BETA: splitting (42) gives:
% 185.69/30.19  | | | | | 
% 185.69/30.19  | | | | | Case 1:
% 185.69/30.19  | | | | | | 
% 185.69/30.19  | | | | | |   (80)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 &
% 185.69/30.19  | | | | | |           op(e0, e2) = e1)
% 185.69/30.19  | | | | | | 
% 185.69/30.19  | | | | | | BETA: splitting (80) gives:
% 185.69/30.19  | | | | | | 
% 185.69/30.19  | | | | | | Case 1:
% 185.69/30.19  | | | | | | | 
% 185.69/30.19  | | | | | | |   (81)  all_56_12 = e1 & op(e0, e3) = e1
% 185.69/30.19  | | | | | | | 
% 185.69/30.19  | | | | | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (11), (12), (13),
% 185.69/30.19  | | | | | | |            (15), (18), (19), (22), (23), (25), (31), (32), (33),
% 185.69/30.19  | | | | | | |            (34), (35), (38), (39), (40), (41), (42), (44), (46),
% 185.69/30.19  | | | | | | |            (48), (49), (50), (51), (54), (55), (57), (59), (66),
% 185.69/30.19  | | | | | | |            (67), (68), (74), (81) are inconsistent by sub-proof
% 185.69/30.19  | | | | | | |            #749.
% 185.69/30.19  | | | | | | | 
% 185.69/30.19  | | | | | | Case 2:
% 185.69/30.19  | | | | | | | 
% 185.69/30.19  | | | | | | |   (82)  all_56_13 = e1 & op(e0, e2) = e1
% 185.69/30.19  | | | | | | | 
% 185.69/30.19  | | | | | | | REF_CLOSE: (23), (79), (82) are inconsistent by sub-proof #1460.
% 185.69/30.19  | | | | | | | 
% 185.69/30.19  | | | | | | End of split
% 185.69/30.19  | | | | | | 
% 185.69/30.19  | | | | | Case 2:
% 185.69/30.19  | | | | | | 
% 185.69/30.19  | | | | | |   (83)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 185.69/30.19  | | | | | |           op(e0, e0) = e1)
% 185.69/30.19  | | | | | | 
% 185.69/30.19  | | | | | | BETA: splitting (83) gives:
% 185.69/30.19  | | | | | | 
% 185.69/30.19  | | | | | | Case 1:
% 185.69/30.19  | | | | | | | 
% 185.69/30.19  | | | | | | |   (84)  all_56_14 = e1 & op(e0, e1) = e1
% 185.69/30.19  | | | | | | | 
% 185.69/30.19  | | | | | | | ALPHA: (84) implies:
% 185.69/30.19  | | | | | | |   (85)  all_56_14 = e1
% 185.69/30.19  | | | | | | | 
% 185.69/30.19  | | | | | | | BETA: splitting (33) gives:
% 185.69/30.19  | | | | | | | 
% 185.69/30.19  | | | | | | | Case 1:
% 185.69/30.19  | | | | | | | | 
% 185.69/30.19  | | | | | | | |   (86)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 &
% 185.69/30.19  | | | | | | | |           op(e2, e1) = e0)
% 185.69/30.19  | | | | | | | | 
% 185.69/30.19  | | | | | | | | BETA: splitting (86) gives:
% 185.69/30.19  | | | | | | | | 
% 185.69/30.19  | | | | | | | | Case 1:
% 185.69/30.19  | | | | | | | | | 
% 185.69/30.19  | | | | | | | | |   (87)  all_56_4 = e0 & op(e3, e1) = e0
% 185.69/30.19  | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | ALPHA: (87) implies:
% 185.69/30.19  | | | | | | | | |   (88)  all_56_4 = e0
% 185.69/30.19  | | | | | | | | |   (89)  op(e3, e1) = e0
% 185.69/30.19  | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | BETA: splitting (3) gives:
% 185.69/30.19  | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | Case 1:
% 185.69/30.19  | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | |   (90)  all_54_4 = e3
% 185.69/30.19  | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | REF_CLOSE: (28), (30), (90) are inconsistent by sub-proof
% 185.69/30.19  | | | | | | | | | |            #1078.
% 185.69/30.19  | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | Case 2:
% 185.69/30.19  | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | |   (91)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.69/30.19  | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | BETA: splitting (47) gives:
% 185.69/30.19  | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | Case 1:
% 185.69/30.19  | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | |   (92)  all_54_3 = e3
% 185.69/30.19  | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | REF_CLOSE: (43), (60), (92) are inconsistent by sub-proof
% 185.69/30.19  | | | | | | | | | | |            #809.
% 185.69/30.19  | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | Case 2:
% 185.69/30.19  | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | |   (93)   ~ (all_54_3 = e3)
% 185.69/30.19  | | | | | | | | | | |   (94)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 185.69/30.19  | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | BETA: splitting (94) gives:
% 185.69/30.19  | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | Case 1:
% 185.69/30.19  | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | |   (95)  all_54_3 = e2
% 185.69/30.19  | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | REF_CLOSE: (10), (60), (95) are inconsistent by sub-proof
% 185.69/30.19  | | | | | | | | | | | |            #748.
% 185.69/30.19  | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | Case 2:
% 185.69/30.19  | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | |   (96)   ~ (all_54_3 = e2)
% 185.69/30.19  | | | | | | | | | | | |   (97)  all_54_3 = e1 | all_54_3 = e0
% 185.69/30.19  | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | BETA: splitting (97) gives:
% 185.69/30.19  | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | Case 1:
% 185.69/30.19  | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | |   (98)  all_54_3 = e1
% 185.69/30.19  | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | COMBINE_EQS: (60), (98) imply:
% 185.69/30.19  | | | | | | | | | | | | |   (99)  all_52_12 = e1
% 185.69/30.19  | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | SIMP: (99) implies:
% 185.69/30.19  | | | | | | | | | | | | |   (100)  all_52_12 = e1
% 185.69/30.19  | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | REDUCE: (26), (100) imply:
% 185.69/30.19  | | | | | | | | | | | | |   (101)   ~ (all_52_14 = e1)
% 185.69/30.19  | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | SIMP: (101) implies:
% 185.69/30.19  | | | | | | | | | | | | |   (102)   ~ (all_52_14 = e1)
% 185.69/30.19  | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | REDUCE: (43), (100) imply:
% 185.69/30.19  | | | | | | | | | | | | |   (103)   ~ (e3 = e1)
% 185.69/30.19  | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | REDUCE: (10), (100) imply:
% 185.69/30.19  | | | | | | | | | | | | |   (104)   ~ (e2 = e1)
% 185.69/30.19  | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | BETA: splitting (91) gives:
% 185.69/30.19  | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | Case 1:
% 185.69/30.19  | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | |   (105)  all_54_4 = e2
% 185.69/30.19  | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | REF_CLOSE: (20), (28), (105) are inconsistent by sub-proof
% 185.69/30.19  | | | | | | | | | | | | | |            #1084.
% 185.69/30.19  | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | Case 2:
% 185.69/30.19  | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | |   (106)   ~ (all_54_4 = e2)
% 185.69/30.19  | | | | | | | | | | | | | |   (107)  all_54_4 = e1 | all_54_4 = e0
% 185.69/30.19  | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | BETA: splitting (22) gives:
% 185.69/30.19  | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | Case 1:
% 185.69/30.19  | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | |   (108)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 185.69/30.19  | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 185.69/30.19  | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | BETA: splitting (108) gives:
% 185.69/30.19  | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | Case 1:
% 185.69/30.19  | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | |   (109)  all_56_1 = e2 & op(e3, e2) = e2
% 185.69/30.19  | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | ALPHA: (109) implies:
% 185.69/30.19  | | | | | | | | | | | | | | | |   (110)  op(e3, e2) = e2
% 185.69/30.19  | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | BETA: splitting (36) gives:
% 185.69/30.19  | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.19  | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | |   (111)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.69/30.19  | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.69/30.19  | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.69/30.19  | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.69/30.19  | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.69/30.19  | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.69/30.19  | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.69/30.19  | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.69/30.19  | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.69/30.19  | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.69/30.19  | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.69/30.19  | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.69/30.19  | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.69/30.19  | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.69/30.19  | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.69/30.19  | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.69/30.19  | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.69/30.19  | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.69/30.19  | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.69/30.19  | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.69/30.19  | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | BETA: splitting (111) gives:
% 185.69/30.19  | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | |   (112)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.69/30.19  | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.69/30.19  | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 185.69/30.19  | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | BETA: splitting (112) gives:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |   (113)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | ALPHA: (113) implies:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |   (114)  op(e2, e3) = e3
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |   (115)  op(e3, e2) = e3
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | BETA: splitting (19) gives:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | |   (116)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e0)
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | BETA: splitting (116) gives:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | |   (117)  all_56_2 = e0 & op(e2, e3) = e0
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | ALPHA: (117) implies:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | |   (118)  op(e2, e3) = e0
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e0, e3, e3, e2,
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | |              simplifying with (114), (118) gives:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | |   (119)  e3 = e0
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_52_4, e2, e2, e3,
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | |              simplifying with (52), (110) gives:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | |   (120)  all_52_4 = e2
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_52_4, e3, e2, e3,
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | |              simplifying with (52), (115) gives:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | |   (121)  all_52_4 = e3
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (120), (121) imply:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | |   (122)  e3 = e2
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (119), (122) imply:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | |   (123)  e2 = e0
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | SIMP: (123) implies:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | |   (124)  e2 = e0
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (124) imply:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | |   (125)  $false
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | CLOSE: (125) is inconsistent.
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | |   (126)  all_56_3 = e0 & op(e2, e2) = e0
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | ALPHA: (126) implies:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | |   (127)  op(e2, e2) = e0
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (31), (40), (127) are inconsistent by
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1310.
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | |   (128)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e0) = e0)
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (14), (31), (45), (58), (128) are
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #747.
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |   (129)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | ALPHA: (129) implies:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |   (130)  op(e3, e1) = e3
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (31), (49), (89), (130) are inconsistent by
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |            sub-proof #1577.
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.19  | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | |   (131)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.69/30.19  | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.69/30.19  | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.69/30.19  | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.69/30.19  | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |   (132)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_17) =
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | ALPHA: (132) implies:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |   (133)  op(e3, e0) = e3
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (31), (43), (133) are inconsistent by
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |            sub-proof #1615.
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |   (134)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |            e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |            all_57_21) = all_57_7 & op(e2, all_57_29) =
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | ALPHA: (134) implies:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |   (135)  op(e2, e3) = e2
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (27), (28), (31), (37), (107), (135) are
% 185.69/30.19  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1077.
% 185.69/30.19  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.19  | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | End of split
% 185.69/30.19  | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.19  | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | |   (136)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.69/30.19  | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.69/30.19  | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.69/30.19  | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.69/30.19  | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.69/30.19  | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.69/30.19  | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.69/30.19  | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.69/30.19  | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.69/30.19  | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 185.69/30.19  | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.69/30.19  | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.69/30.19  | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.69/30.19  | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.69/30.19  | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.69/30.19  | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.69/30.19  | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.69/30.19  | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.69/30.19  | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.69/30.19  | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.69/30.19  | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.69/30.19  | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.69/30.19  | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.69/30.19  | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.69/30.19  | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.69/30.19  | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.69/30.19  | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.69/30.19  | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.69/30.19  | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.69/30.19  | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.69/30.19  | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.69/30.19  | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.69/30.19  | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.69/30.19  | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.69/30.19  | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.69/30.19  | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.69/30.19  | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.69/30.19  | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.69/30.19  | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.69/30.19  | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.69/30.19  | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 185.69/30.19  | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | |   (137)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.69/30.19  | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.69/30.19  | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 185.69/30.19  | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (31), (48), (52), (56), (61), (110), (137)
% 185.69/30.19  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #746.
% 185.69/30.19  | | | | | | | | | | | | | | | | | | 
% 185.69/30.19  | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.19  | | | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | | |   (138)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.69/30.20  | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.69/30.20  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.69/30.20  | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.69/30.20  | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.69/30.20  | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.69/30.20  | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.69/30.20  | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.69/30.20  | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.69/30.20  | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.69/30.20  | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.69/30.20  | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.69/30.20  | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.69/30.20  | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.69/30.20  | | | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 185.69/30.20  | | | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | | | Case 1:
% 185.69/30.20  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |   (139)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 185.69/30.20  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | | | | ALPHA: (139) implies:
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |   (140)  op(e3, e1) = e1
% 185.69/30.20  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (31), (89), (140) are inconsistent by
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |            sub-proof #1571.
% 185.69/30.20  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | | | Case 2:
% 185.69/30.20  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |   (141)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.69/30.20  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (11), (23), (31), (48), (57), (63),
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |            (85), (88), (102), (141) are inconsistent by
% 185.69/30.20  | | | | | | | | | | | | | | | | | | |            sub-proof #905.
% 185.69/30.20  | | | | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | | | End of split
% 185.69/30.20  | | | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | | End of split
% 185.69/30.20  | | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | End of split
% 185.69/30.20  | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | Case 2:
% 185.69/30.20  | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | |   (142)  all_56_3 = e2 & op(e2, e2) = e2
% 185.69/30.20  | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | ALPHA: (142) implies:
% 185.69/30.20  | | | | | | | | | | | | | | | |   (143)  all_56_3 = e2
% 185.69/30.20  | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | REF_CLOSE: (16), (23), (27), (31), (37), (56), (59), (74),
% 185.69/30.20  | | | | | | | | | | | | | | | |            (143) are inconsistent by sub-proof #1063.
% 185.69/30.20  | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | End of split
% 185.69/30.20  | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | Case 2:
% 185.69/30.20  | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | |   (144)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 185.69/30.20  | | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 185.69/30.20  | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 185.69/30.20  | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | Case 1:
% 185.69/30.20  | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | |   (145)  all_56_7 = e2 & op(e1, e2) = e2
% 185.69/30.20  | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | ALPHA: (145) implies:
% 185.69/30.20  | | | | | | | | | | | | | | | |   (146)  op(e1, e2) = e2
% 185.69/30.20  | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | REF_CLOSE: (31), (34), (55), (146) are inconsistent by
% 185.69/30.20  | | | | | | | | | | | | | | | |            sub-proof #1614.
% 185.69/30.20  | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | Case 2:
% 185.69/30.20  | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | |   (147)  all_56_13 = e2 & op(e0, e2) = e2
% 185.69/30.20  | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | ALPHA: (147) implies:
% 185.69/30.20  | | | | | | | | | | | | | | | |   (148)  all_56_13 = e2
% 185.69/30.20  | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | COMBINE_EQS: (79), (148) imply:
% 185.69/30.20  | | | | | | | | | | | | | | | |   (149)  e3 = e2
% 185.69/30.20  | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | SIMP: (149) implies:
% 185.69/30.20  | | | | | | | | | | | | | | | |   (150)  e3 = e2
% 185.69/30.20  | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | COMBINE_EQS: (14), (150) imply:
% 185.69/30.20  | | | | | | | | | | | | | | | |   (151)  all_56_5 = e2
% 185.69/30.20  | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (7), (8), (11), (18), (23), (31), (32),
% 185.69/30.20  | | | | | | | | | | | | | | | |            (33), (42), (48), (57), (59), (68), (148), (151)
% 185.69/30.20  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #891.
% 185.69/30.20  | | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | | End of split
% 185.69/30.20  | | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | | End of split
% 185.69/30.20  | | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | End of split
% 185.69/30.20  | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | Case 2:
% 185.69/30.20  | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | |   (152)  all_54_3 = e0
% 185.69/30.20  | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | | REF_CLOSE: (60), (64), (152) are inconsistent by sub-proof
% 185.69/30.20  | | | | | | | | | | | | |            #828.
% 185.69/30.20  | | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | | End of split
% 185.69/30.20  | | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | | End of split
% 185.69/30.20  | | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | | End of split
% 185.69/30.20  | | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | End of split
% 185.69/30.20  | | | | | | | | | 
% 185.69/30.20  | | | | | | | | Case 2:
% 185.69/30.20  | | | | | | | | | 
% 185.69/30.20  | | | | | | | | |   (153)  all_56_5 = e0 & op(e2, e1) = e0
% 185.69/30.20  | | | | | | | | | 
% 185.69/30.20  | | | | | | | | | REF_CLOSE: (11), (14), (153) are inconsistent by sub-proof
% 185.69/30.20  | | | | | | | | |            #986.
% 185.69/30.20  | | | | | | | | | 
% 185.69/30.20  | | | | | | | | End of split
% 185.69/30.20  | | | | | | | | 
% 185.69/30.20  | | | | | | | Case 2:
% 185.69/30.20  | | | | | | | | 
% 185.69/30.20  | | | | | | | |   (154)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 &
% 185.69/30.20  | | | | | | | |            op(e0, e1) = e0)
% 185.69/30.20  | | | | | | | | 
% 185.69/30.20  | | | | | | | | REF_CLOSE: (8), (18), (21), (31), (57), (154) are inconsistent
% 185.69/30.20  | | | | | | | |            by sub-proof #916.
% 185.69/30.20  | | | | | | | | 
% 185.69/30.20  | | | | | | | End of split
% 185.69/30.20  | | | | | | | 
% 185.69/30.20  | | | | | | Case 2:
% 185.69/30.20  | | | | | | | 
% 185.69/30.20  | | | | | | |   (155)  all_56_15 = e1 & op(e0, e0) = e1
% 185.69/30.20  | | | | | | | 
% 185.69/30.20  | | | | | | | ALPHA: (155) implies:
% 185.69/30.20  | | | | | | |   (156)  op(e0, e0) = e1
% 185.69/30.20  | | | | | | | 
% 185.69/30.20  | | | | | | | REF_CLOSE: (1), (6), (31), (156) are inconsistent by sub-proof
% 185.69/30.20  | | | | | | |            #1516.
% 185.69/30.20  | | | | | | | 
% 185.69/30.20  | | | | | | End of split
% 185.69/30.20  | | | | | | 
% 185.69/30.20  | | | | | End of split
% 185.69/30.20  | | | | | 
% 185.69/30.20  | | | | End of split
% 185.69/30.20  | | | | 
% 185.69/30.20  | | | Case 2:
% 185.69/30.20  | | | | 
% 185.69/30.20  | | | |   (157)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 185.69/30.20  | | | |              e0) = e3)
% 185.69/30.20  | | | | 
% 185.69/30.20  | | | | REF_CLOSE: (8), (11), (18), (21), (23), (29), (31), (32), (49), (56),
% 185.69/30.20  | | | |            (57), (59), (61), (62), (65), (68), (157) are inconsistent by
% 185.69/30.20  | | | |            sub-proof #751.
% 185.69/30.20  | | | | 
% 185.69/30.20  | | | End of split
% 185.69/30.20  | | | 
% 185.69/30.20  | | End of split
% 185.69/30.20  | | 
% 185.69/30.20  | End of split
% 185.69/30.20  | 
% 185.69/30.20  End of proof
% 185.69/30.20  
% 185.69/30.20  Sub-proof #746 shows that the following formulas are inconsistent:
% 185.69/30.20  ----------------------------------------------------------------
% 185.69/30.20    (1)   ~ (all_52_4 = all_52_7)
% 185.69/30.20    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.20    (3)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 185.69/30.20             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.69/30.20           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.69/30.20             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 185.69/30.20           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 185.69/30.20           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 185.69/30.20           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 185.69/30.20           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 185.69/30.20           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 185.69/30.20           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.69/30.20             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 185.69/30.20           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.69/30.20           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 185.69/30.20    (4)   ~ (e3 = e2)
% 185.69/30.20    (5)  op(e3, e2) = all_52_4
% 185.69/30.20    (6)  op(e2, e1) = e3
% 185.69/30.20    (7)  op(e3, e2) = e2
% 185.69/30.20    (8)  op(e0, e2) = all_52_7
% 185.69/30.20  
% 185.69/30.20  Begin of proof
% 185.69/30.20  | 
% 185.69/30.20  | BETA: splitting (3) gives:
% 185.69/30.20  | 
% 185.69/30.20  | Case 1:
% 185.69/30.20  | | 
% 185.69/30.20  | |   (9)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4
% 185.69/30.20  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 185.69/30.20  | |          e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 &
% 185.69/30.20  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 185.69/30.20  | |        all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 185.69/30.20  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 185.69/30.20  | |        $i(all_57_21) & $i(all_57_29)
% 185.69/30.20  | | 
% 185.69/30.20  | | ALPHA: (9) implies:
% 185.69/30.20  | |   (10)  op(e2, e1) = e2
% 185.69/30.20  | | 
% 185.69/30.20  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1297.
% 185.69/30.20  | | 
% 185.69/30.20  | Case 2:
% 185.69/30.20  | | 
% 185.69/30.20  | |   (11)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~
% 185.69/30.20  | |         (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.69/30.20  | |         (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20)
% 185.69/30.20  | |         = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 185.69/30.20  | |         op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 &
% 185.69/30.20  | |         op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.69/30.20  | |         $i(all_57_19) & $i(all_57_20) & $i(all_57_29)
% 185.69/30.20  | | 
% 185.69/30.20  | | ALPHA: (11) implies:
% 185.69/30.20  | |   (12)  op(e0, e2) = e2
% 185.69/30.20  | | 
% 185.69/30.20  | | REF_CLOSE: (1), (2), (5), (7), (8), (12) are inconsistent by sub-proof
% 185.69/30.20  | |            #1342.
% 185.69/30.20  | | 
% 185.69/30.20  | End of split
% 185.69/30.20  | 
% 185.69/30.20  End of proof
% 185.69/30.20  
% 185.69/30.20  Sub-proof #747 shows that the following formulas are inconsistent:
% 185.69/30.20  ----------------------------------------------------------------
% 185.69/30.20    (1)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.69/30.20    (2)   ~ (e3 = e0)
% 185.69/30.20    (3)  all_56_5 = e3
% 185.69/30.20    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.20    (5)  op(e2, e0) = all_52_13
% 185.69/30.20    (6)   ~ (all_52_13 = e0)
% 185.69/30.20  
% 185.69/30.20  Begin of proof
% 185.69/30.20  | 
% 185.69/30.20  | BETA: splitting (1) gives:
% 185.69/30.20  | 
% 185.69/30.20  | Case 1:
% 185.69/30.20  | | 
% 185.69/30.20  | |   (7)  all_56_5 = e0 & op(e2, e1) = e0
% 185.69/30.20  | | 
% 185.69/30.20  | | REF_CLOSE: (2), (3), (7) are inconsistent by sub-proof #986.
% 185.69/30.20  | | 
% 185.69/30.20  | Case 2:
% 185.69/30.20  | | 
% 185.69/30.20  | |   (8)  all_56_10 = e0 & op(e2, e0) = e0
% 185.69/30.20  | | 
% 185.69/30.20  | | ALPHA: (8) implies:
% 185.69/30.20  | |   (9)  op(e2, e0) = e0
% 185.69/30.20  | | 
% 185.69/30.20  | | REF_CLOSE: (4), (5), (6), (9) are inconsistent by sub-proof #1504.
% 185.69/30.20  | | 
% 185.69/30.20  | End of split
% 185.69/30.20  | 
% 185.69/30.20  End of proof
% 185.69/30.20  
% 185.69/30.20  Sub-proof #748 shows that the following formulas are inconsistent:
% 185.69/30.20  ----------------------------------------------------------------
% 185.69/30.20    (1)  all_54_3 = all_52_12
% 185.69/30.20    (2)  all_54_3 = e2
% 185.69/30.20    (3)   ~ (all_52_12 = e2)
% 185.69/30.20  
% 185.69/30.20  Begin of proof
% 185.69/30.20  | 
% 185.69/30.20  | COMBINE_EQS: (1), (2) imply:
% 185.69/30.20  |   (4)  all_52_12 = e2
% 185.69/30.20  | 
% 185.69/30.20  | SIMP: (4) implies:
% 185.69/30.20  |   (5)  all_52_12 = e2
% 185.69/30.20  | 
% 185.69/30.20  | REDUCE: (3), (5) imply:
% 185.69/30.20  |   (6)  $false
% 185.69/30.20  | 
% 185.69/30.20  | CLOSE: (6) is inconsistent.
% 185.69/30.20  | 
% 185.69/30.20  End of proof
% 185.69/30.20  
% 185.69/30.20  Sub-proof #749 shows that the following formulas are inconsistent:
% 185.69/30.20  ----------------------------------------------------------------
% 185.69/30.20    (1)  op(e0, e0) = all_6_2
% 185.69/30.20    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.69/30.20         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.69/30.20    (3)   ~ (all_4_2 = e0)
% 185.69/30.20    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.20         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.69/30.20    (5)   ~ (all_6_2 = e1)
% 185.69/30.20    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.69/30.20         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.69/30.20    (7)  all_56_10 = e2
% 185.69/30.20    (8)   ~ (e1 = e0)
% 185.69/30.20    (9)   ~ (e3 = e0)
% 185.69/30.20    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.69/30.20          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.20    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.69/30.20          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.69/30.20    (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.69/30.20          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.69/30.20    (13)  all_56_12 = e1 & op(e0, e3) = e1
% 185.69/30.20    (14)   ~ (e2 = e0)
% 185.69/30.20    (15)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.20          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.69/30.20    (16)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.20          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.69/30.20    (17)   ~ (e3 = e1)
% 185.69/30.20    (18)   ~ (all_6_2 = e2)
% 185.69/30.20    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.20            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.20    (20)  all_56_12 = e2
% 185.69/30.20    (21)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.69/30.20          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.20    (22)   ~ (all_52_6 = e2)
% 185.69/30.20    (23)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.69/30.20          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.69/30.20    (24)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.69/30.20          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.69/30.20    (25)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.69/30.20          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.69/30.20    (26)  op(e2, e2) = e1
% 185.69/30.20    (27)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.69/30.20          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.69/30.20    (28)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.69/30.20          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.69/30.20            e1)
% 185.69/30.20    (29)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.69/30.20          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.69/30.20    (30)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.69/30.20          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.69/30.20    (31)   ~ (e3 = e2)
% 185.69/30.20    (32)  op(e3, e1) = all_52_8
% 185.69/30.20    (33)  op(e3, e3) = all_4_2
% 185.69/30.20    (34)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.69/30.20          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.69/30.20    (35)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.69/30.20          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.69/30.20    (36)  op(e1, e2) = all_52_6
% 185.69/30.20    (37)  op(e1, e1) = e2
% 185.69/30.20    (38)   ~ (e2 = e1)
% 185.69/30.20    (39)   ~ (all_4_2 = e1)
% 185.69/30.20    (40)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.69/30.20          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.69/30.20    (41)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.69/30.20          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.69/30.20  
% 185.69/30.20  Begin of proof
% 185.69/30.20  | 
% 185.69/30.20  | ALPHA: (13) implies:
% 185.69/30.20  |   (42)  all_56_12 = e1
% 185.69/30.20  | 
% 185.69/30.20  | COMBINE_EQS: (20), (42) imply:
% 185.69/30.20  |   (43)  e2 = e1
% 185.69/30.20  | 
% 185.69/30.20  | COMBINE_EQS: (7), (43) imply:
% 185.69/30.20  |   (44)  all_56_10 = e1
% 185.69/30.20  | 
% 185.69/30.20  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (14),
% 185.69/30.20  |            (15), (16), (17), (18), (19), (21), (22), (23), (24), (25), (26),
% 185.69/30.20  |            (27), (28), (29), (30), (31), (32), (33), (34), (35), (36), (37),
% 185.69/30.20  |            (38), (39), (40), (41), (44) are inconsistent by sub-proof #765.
% 185.69/30.20  | 
% 185.69/30.20  End of proof
% 185.69/30.20  
% 185.69/30.20  Sub-proof #750 shows that the following formulas are inconsistent:
% 185.69/30.20  ----------------------------------------------------------------
% 185.69/30.20    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.69/30.20         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.69/30.20    (2)   ~ (e1 = e0)
% 185.69/30.20    (3)   ~ (e3 = e0)
% 185.69/30.20    (4)  all_56_5 = e3
% 185.69/30.20    (5)   ~ (e2 = e0)
% 185.69/30.20    (6)  op(e0, e1) = e1
% 185.69/30.20    (7)   ~ (e3 = e1)
% 185.69/30.20    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.20    (9)  all_56_12 = e2
% 185.69/30.20    (10)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.69/30.20          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.69/30.20    (11)  all_56_12 = e3
% 185.69/30.20    (12)   ~ (e3 = e2)
% 185.69/30.20    (13)  op(e1, e1) = e2
% 185.69/30.20    (14)   ~ (e2 = e1)
% 185.69/30.20    (15)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.69/30.20          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.69/30.20  
% 185.69/30.20  Begin of proof
% 185.69/30.20  | 
% 185.69/30.20  | COMBINE_EQS: (9), (11) imply:
% 185.69/30.20  |   (16)  e3 = e2
% 185.69/30.20  | 
% 185.69/30.20  | SIMP: (16) implies:
% 185.69/30.20  |   (17)  e3 = e2
% 185.69/30.20  | 
% 185.69/30.20  | COMBINE_EQS: (4), (17) imply:
% 185.69/30.20  |   (18)  all_56_5 = e2
% 185.69/30.20  | 
% 185.69/30.20  | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (10), (12), (13), (14), (15),
% 185.69/30.20  |            (18) are inconsistent by sub-proof #893.
% 185.69/30.20  | 
% 185.69/30.20  End of proof
% 185.69/30.20  
% 185.69/30.20  Sub-proof #751 shows that the following formulas are inconsistent:
% 185.69/30.20  ----------------------------------------------------------------
% 185.69/30.20    (1)   ~ (e1 = e0)
% 185.69/30.20    (2)   ~ (e3 = e0)
% 185.69/30.20    (3)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.69/30.20    (4)   ~ (e2 = e0)
% 185.69/30.20    (5)  op(e0, e1) = e1
% 185.69/30.20    (6)   ~ (e3 = e1)
% 185.69/30.20    (7)   ~ (all_52_7 = e0)
% 185.69/30.20    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.69/30.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.69/30.20    (9)  all_56_12 = e2
% 185.69/30.20    (10)  op(e3, e1) = all_52_8
% 185.69/30.20    (11)  op(e2, e1) = e3
% 185.69/30.20    (12)  op(e1, e1) = e2
% 185.69/30.20    (13)   ~ (e2 = e1)
% 185.69/30.20    (14)  op(e0, e2) = all_52_7
% 185.69/30.20    (15)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.69/30.20              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.69/30.20                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.69/30.20                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.69/30.20    (16)   ~ (all_52_8 = e1)
% 185.69/30.20    (17)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.69/30.20          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.69/30.20  
% 185.69/30.20  Begin of proof
% 185.69/30.20  | 
% 185.69/30.20  | BETA: splitting (3) gives:
% 185.69/30.20  | 
% 185.69/30.20  | Case 1:
% 185.69/30.20  | | 
% 185.69/30.20  | |   (18)  all_56_14 = e3 & op(e0, e1) = e3
% 185.69/30.20  | | 
% 185.69/30.20  | | ALPHA: (18) implies:
% 185.69/30.20  | |   (19)  all_56_14 = e3
% 185.69/30.20  | | 
% 185.69/30.20  | | REF_CLOSE: (6), (8), (10), (11), (12), (13), (16), (17), (19) are
% 185.81/30.20  | |            inconsistent by sub-proof #755.
% 185.81/30.20  | | 
% 185.81/30.20  | Case 2:
% 185.81/30.20  | | 
% 185.81/30.20  | |   (20)  all_56_15 = e3 & op(e0, e0) = e3
% 185.81/30.20  | | 
% 185.81/30.20  | | ALPHA: (20) implies:
% 185.81/30.20  | |   (21)  op(e0, e0) = e3
% 185.81/30.20  | | 
% 185.81/30.20  | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (14), (15), (21) are
% 185.81/30.20  | |            inconsistent by sub-proof #752.
% 185.81/30.20  | | 
% 185.81/30.20  | End of split
% 185.81/30.20  | 
% 185.81/30.20  End of proof
% 185.81/30.20  
% 185.81/30.20  Sub-proof #752 shows that the following formulas are inconsistent:
% 185.81/30.20  ----------------------------------------------------------------
% 185.81/30.20    (1)   ~ (e1 = e0)
% 185.81/30.20    (2)   ~ (e3 = e0)
% 185.81/30.20    (3)   ~ (e2 = e0)
% 185.81/30.20    (4)  op(e0, e1) = e1
% 185.81/30.20    (5)   ~ (all_52_7 = e0)
% 185.81/30.20    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.20    (7)  all_56_12 = e2
% 185.81/30.20    (8)  op(e0, e0) = e3
% 185.81/30.20    (9)  op(e0, e2) = all_52_7
% 185.81/30.20    (10)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.81/30.20              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.81/30.20                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.81/30.20                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.81/30.20  
% 185.81/30.20  Begin of proof
% 185.81/30.20  | 
% 185.81/30.20  | BETA: splitting (10) gives:
% 185.81/30.20  | 
% 185.81/30.20  | Case 1:
% 185.81/30.20  | | 
% 185.81/30.20  | |   (11)  all_56_15 = e0 & op(e0, e0) = e0
% 185.81/30.20  | | 
% 185.81/30.20  | | ALPHA: (11) implies:
% 185.81/30.20  | |   (12)  op(e0, e0) = e0
% 185.81/30.20  | | 
% 185.81/30.20  | | REF_CLOSE: (2), (6), (8), (12) are inconsistent by sub-proof #1540.
% 185.81/30.20  | | 
% 185.81/30.20  | Case 2:
% 185.81/30.20  | | 
% 185.81/30.20  | |   (13)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 185.81/30.20  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 185.81/30.20  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 185.81/30.20  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 185.81/30.20  | | 
% 185.81/30.20  | | ALPHA: (13) implies:
% 185.81/30.20  | |   (14)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 185.81/30.20  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.81/30.20  | | 
% 185.81/30.20  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (14) are inconsistent by
% 185.81/30.20  | |            sub-proof #753.
% 185.81/30.20  | | 
% 185.81/30.20  | End of split
% 185.81/30.20  | 
% 185.81/30.20  End of proof
% 185.81/30.20  
% 185.81/30.20  Sub-proof #753 shows that the following formulas are inconsistent:
% 185.81/30.20  ----------------------------------------------------------------
% 185.81/30.20    (1)   ~ (e1 = e0)
% 185.81/30.20    (2)   ~ (e2 = e0)
% 185.81/30.20    (3)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 185.81/30.20         (all_56_14 = e0 & op(e0, e1) = e0)
% 185.81/30.20    (4)  op(e0, e1) = e1
% 185.81/30.20    (5)   ~ (all_52_7 = e0)
% 185.81/30.20    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.20    (7)  all_56_12 = e2
% 185.81/30.20    (8)  op(e0, e2) = all_52_7
% 185.81/30.20  
% 185.81/30.20  Begin of proof
% 185.81/30.20  | 
% 185.81/30.20  | BETA: splitting (3) gives:
% 185.81/30.20  | 
% 185.81/30.20  | Case 1:
% 185.81/30.20  | | 
% 185.81/30.20  | |   (9)  all_56_12 = e0 & op(e0, e3) = e0
% 185.81/30.20  | | 
% 185.81/30.20  | | ALPHA: (9) implies:
% 185.81/30.20  | |   (10)  all_56_12 = e0
% 185.81/30.20  | | 
% 185.81/30.20  | | REF_CLOSE: (2), (7), (10) are inconsistent by sub-proof #1548.
% 185.81/30.20  | | 
% 185.81/30.20  | Case 2:
% 185.81/30.20  | | 
% 185.81/30.20  | |   (11)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.81/30.20  | |           e0)
% 185.81/30.20  | | 
% 185.81/30.20  | | REF_CLOSE: (1), (4), (5), (6), (8), (11) are inconsistent by sub-proof #754.
% 185.81/30.20  | | 
% 185.81/30.20  | End of split
% 185.81/30.20  | 
% 185.81/30.20  End of proof
% 185.81/30.20  
% 185.81/30.20  Sub-proof #754 shows that the following formulas are inconsistent:
% 185.81/30.20  ----------------------------------------------------------------
% 185.81/30.20    (1)   ~ (e1 = e0)
% 185.81/30.20    (2)  op(e0, e1) = e1
% 185.81/30.20    (3)   ~ (all_52_7 = e0)
% 185.81/30.20    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.20    (5)  op(e0, e2) = all_52_7
% 185.81/30.20    (6)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.81/30.20  
% 185.81/30.20  Begin of proof
% 185.81/30.20  | 
% 185.81/30.20  | BETA: splitting (6) gives:
% 185.81/30.20  | 
% 185.81/30.20  | Case 1:
% 185.81/30.20  | | 
% 185.81/30.20  | |   (7)  all_56_13 = e0 & op(e0, e2) = e0
% 185.81/30.20  | | 
% 185.81/30.20  | | ALPHA: (7) implies:
% 185.81/30.20  | |   (8)  op(e0, e2) = e0
% 185.81/30.20  | | 
% 185.81/30.20  | | REF_CLOSE: (3), (4), (5), (8) are inconsistent by sub-proof #1463.
% 185.81/30.20  | | 
% 185.81/30.20  | Case 2:
% 185.81/30.20  | | 
% 185.81/30.20  | |   (9)  all_56_14 = e0 & op(e0, e1) = e0
% 185.81/30.20  | | 
% 185.81/30.20  | | ALPHA: (9) implies:
% 185.81/30.20  | |   (10)  op(e0, e1) = e0
% 185.81/30.20  | | 
% 185.81/30.20  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1171.
% 185.81/30.20  | | 
% 185.81/30.20  | End of split
% 185.81/30.20  | 
% 185.81/30.20  End of proof
% 185.81/30.20  
% 185.81/30.20  Sub-proof #755 shows that the following formulas are inconsistent:
% 185.81/30.20  ----------------------------------------------------------------
% 185.81/30.20    (1)   ~ (e3 = e1)
% 185.81/30.20    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.20           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.20    (3)  op(e3, e1) = all_52_8
% 185.81/30.20    (4)  all_56_14 = e3
% 185.81/30.20    (5)  op(e2, e1) = e3
% 185.81/30.20    (6)  op(e1, e1) = e2
% 185.81/30.20    (7)   ~ (e2 = e1)
% 185.81/30.20    (8)   ~ (all_52_8 = e1)
% 185.81/30.20    (9)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.81/30.20         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.81/30.20  
% 185.81/30.20  Begin of proof
% 185.81/30.20  | 
% 185.81/30.20  | BETA: splitting (9) gives:
% 185.81/30.20  | 
% 185.81/30.20  | Case 1:
% 185.81/30.20  | | 
% 185.81/30.20  | |   (10)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 185.81/30.20  | |           e1)
% 185.81/30.20  | | 
% 185.81/30.20  | | REF_CLOSE: (1), (2), (3), (5), (8), (10) are inconsistent by sub-proof
% 185.81/30.20  | |            #1041.
% 185.81/30.20  | | 
% 185.81/30.20  | Case 2:
% 185.81/30.20  | | 
% 185.81/30.20  | |   (11)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 185.81/30.20  | |           e1)
% 185.81/30.20  | | 
% 185.81/30.20  | | REF_CLOSE: (1), (2), (4), (6), (7), (11) are inconsistent by sub-proof #934.
% 185.81/30.20  | | 
% 185.81/30.20  | End of split
% 185.81/30.20  | 
% 185.81/30.20  End of proof
% 185.81/30.20  
% 185.81/30.20  Sub-proof #756 shows that the following formulas are inconsistent:
% 185.81/30.20  ----------------------------------------------------------------
% 185.81/30.20    (1)  all_56_10 = e2
% 185.81/30.20    (2)  all_56_13 = e3
% 185.81/30.20    (3)  all_56_1 = e0
% 185.81/30.20    (4)   ~ (e3 = e0)
% 185.81/30.20    (5)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.81/30.20         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.81/30.20    (6)   ~ (e2 = e0)
% 185.81/30.20    (7)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.81/30.20         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.81/30.20    (8)   ~ (e3 = e1)
% 185.81/30.20    (9)  op(e2, e3) = all_52_1
% 185.81/30.20    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.20            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.20    (11)   ~ (all_52_6 = e2)
% 185.81/30.20    (12)  all_56_5 = e0
% 185.81/30.20    (13)   ~ (all_52_1 = e1)
% 185.81/30.20    (14)  op(e2, e2) = e1
% 185.81/30.20    (15)   ~ (e3 = e2)
% 185.81/30.20    (16)  all_56_2 = e3
% 185.81/30.20    (17)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.20          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.81/30.20    (18)  op(e1, e2) = all_52_6
% 185.81/30.20    (19)  op(e2, e1) = e3
% 185.81/30.20    (20)   ~ (e2 = e1)
% 185.81/30.20  
% 185.81/30.20  Begin of proof
% 185.81/30.20  | 
% 185.81/30.20  | BETA: splitting (7) gives:
% 185.81/30.20  | 
% 185.81/30.20  | Case 1:
% 185.81/30.20  | | 
% 185.81/30.20  | |   (21)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 185.81/30.20  | |           e2)
% 185.81/30.20  | | 
% 185.81/30.20  | | BETA: splitting (21) gives:
% 185.81/30.20  | | 
% 185.81/30.20  | | Case 1:
% 185.81/30.20  | | | 
% 185.81/30.20  | | |   (22)  all_56_1 = e2 & op(e3, e2) = e2
% 185.81/30.20  | | | 
% 185.81/30.20  | | | ALPHA: (22) implies:
% 185.81/30.20  | | |   (23)  all_56_1 = e2
% 185.81/30.20  | | | 
% 185.81/30.20  | | | REF_CLOSE: (3), (6), (23) are inconsistent by sub-proof #1019.
% 185.81/30.20  | | | 
% 185.81/30.20  | | Case 2:
% 185.81/30.20  | | | 
% 185.81/30.20  | | |   (24)  all_56_3 = e2 & op(e2, e2) = e2
% 185.81/30.20  | | | 
% 185.81/30.20  | | | ALPHA: (24) implies:
% 185.81/30.20  | | |   (25)  all_56_3 = e2
% 185.81/30.20  | | | 
% 185.81/30.20  | | | REF_CLOSE: (1), (5), (8), (9), (10), (13), (19), (20), (25) are
% 185.81/30.20  | | |            inconsistent by sub-proof #1063.
% 185.81/30.20  | | | 
% 185.81/30.20  | | End of split
% 185.81/30.20  | | 
% 185.81/30.20  | Case 2:
% 185.81/30.20  | | 
% 185.81/30.20  | |   (26)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 185.81/30.20  | |           e2)
% 185.81/30.20  | | 
% 185.81/30.20  | | BETA: splitting (26) gives:
% 185.81/30.20  | | 
% 185.81/30.20  | | Case 1:
% 185.81/30.20  | | | 
% 185.81/30.20  | | |   (27)  all_56_7 = e2 & op(e1, e2) = e2
% 185.81/30.20  | | | 
% 185.81/30.20  | | | ALPHA: (27) implies:
% 185.81/30.20  | | |   (28)  op(e1, e2) = e2
% 185.81/30.20  | | | 
% 185.81/30.20  | | | REF_CLOSE: (10), (11), (18), (28) are inconsistent by sub-proof #1614.
% 185.81/30.20  | | | 
% 185.81/30.20  | | Case 2:
% 185.81/30.20  | | | 
% 185.81/30.20  | | |   (29)  all_56_13 = e2 & op(e0, e2) = e2
% 185.81/30.20  | | | 
% 185.81/30.20  | | | ALPHA: (29) implies:
% 185.81/30.20  | | |   (30)  all_56_13 = e2
% 185.81/30.20  | | | 
% 185.81/30.20  | | | COMBINE_EQS: (2), (30) imply:
% 185.81/30.20  | | |   (31)  e3 = e2
% 185.81/30.20  | | | 
% 185.81/30.20  | | | SIMP: (31) implies:
% 185.81/30.20  | | |   (32)  e3 = e2
% 185.81/30.20  | | | 
% 185.81/30.20  | | | COMBINE_EQS: (16), (32) imply:
% 185.81/30.20  | | |   (33)  all_56_2 = e2
% 185.81/30.20  | | | 
% 185.81/30.20  | | | REF_CLOSE: (1), (4), (8), (10), (12), (14), (15), (17), (33) are
% 185.81/30.20  | | |            inconsistent by sub-proof #1330.
% 185.81/30.20  | | | 
% 185.81/30.20  | | End of split
% 185.81/30.20  | | 
% 185.81/30.20  | End of split
% 185.81/30.20  | 
% 185.81/30.20  End of proof
% 185.81/30.20  
% 185.81/30.20  Sub-proof #757 shows that the following formulas are inconsistent:
% 185.81/30.20  ----------------------------------------------------------------
% 185.81/30.20    (1)  op(e0, e0) = all_6_2
% 185.81/30.20    (2)  all_56_6 = e2
% 185.81/30.20    (3)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.81/30.20         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.81/30.20    (4)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.81/30.20    (5)   ~ (all_4_2 = e0)
% 185.81/30.20    (6)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.20         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.81/30.20    (7)   ~ (all_6_2 = e1)
% 185.81/30.20    (8)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.81/30.20         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.81/30.20    (9)   ~ (e1 = e0)
% 185.81/30.20    (10)   ~ (e3 = e0)
% 185.81/30.20    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.81/30.20          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.81/30.20    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.81/30.20          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.81/30.20    (13)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.81/30.20          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.81/30.20    (14)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.81/30.20          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.81/30.21    (15)   ~ (e2 = e0)
% 185.81/30.21    (16)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.21          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.81/30.21    (17)   ~ (all_52_1 = e2)
% 185.81/30.21    (18)  op(e0, e1) = e1
% 185.81/30.21    (19)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.81/30.21          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.81/30.21    (20)   ~ (e3 = e1)
% 185.81/30.21    (21)   ~ (all_6_2 = e2)
% 185.81/30.21    (22)  op(e2, e3) = all_52_1
% 185.81/30.21    (23)  all_54_4 = all_52_1
% 185.81/30.21    (24)   ~ (all_52_7 = e0)
% 185.81/30.21    (25)   ~ (all_52_1 = e3)
% 185.81/30.21    (26)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.21            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.21    (27)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.81/30.21          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.81/30.21    (28)   ~ (all_52_6 = e2)
% 185.81/30.21    (29)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.81/30.21          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.81/30.21    (30)   ~ (all_52_1 = e1)
% 185.81/30.21    (31)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.81/30.21          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.81/30.21    (32)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.81/30.21          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.81/30.21    (33)  op(e2, e2) = e1
% 185.81/30.21    (34)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.81/30.21          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.81/30.21    (35)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.81/30.21          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.81/30.21            e1)
% 185.81/30.21    (36)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.21          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.81/30.21    (37)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.81/30.21          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.81/30.21    (38)   ~ (e3 = e2)
% 185.81/30.21    (39)  op(e3, e1) = all_52_8
% 185.81/30.21    (40)  op(e3, e3) = all_4_2
% 185.81/30.21    (41)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.21          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.81/30.21    (42)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.81/30.21          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.81/30.21    (43)  op(e1, e2) = all_52_6
% 185.81/30.21    (44)  op(e2, e1) = e3
% 185.81/30.21    (45)  op(e1, e1) = e2
% 185.81/30.21    (46)   ~ (e2 = e1)
% 185.81/30.21    (47)  op(e0, e2) = all_52_7
% 185.81/30.21    (48)   ~ (all_4_2 = e1)
% 185.81/30.21    (49)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.81/30.21          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.81/30.21    (50)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.81/30.21          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.81/30.21  
% 185.81/30.21  Begin of proof
% 185.81/30.21  | 
% 185.81/30.21  | BETA: splitting (31) gives:
% 185.81/30.21  | 
% 185.81/30.21  | Case 1:
% 185.81/30.21  | | 
% 185.81/30.21  | |   (51)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 185.81/30.21  | |           e2)
% 185.81/30.21  | | 
% 185.81/30.21  | | REF_CLOSE: (4), (17), (22), (23), (25), (26), (30), (33), (46), (51) are
% 185.81/30.21  | |            inconsistent by sub-proof #774.
% 185.81/30.21  | | 
% 185.81/30.21  | Case 2:
% 185.81/30.21  | | 
% 185.81/30.21  | |   (52)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 185.81/30.21  | |           e2)
% 185.81/30.21  | | 
% 185.81/30.21  | | BETA: splitting (52) gives:
% 185.81/30.21  | | 
% 185.81/30.21  | | Case 1:
% 185.81/30.21  | | | 
% 185.81/30.21  | | |   (53)  all_56_5 = e2 & op(e2, e1) = e2
% 185.81/30.21  | | | 
% 185.81/30.21  | | | ALPHA: (53) implies:
% 185.81/30.21  | | |   (54)  all_56_5 = e2
% 185.81/30.21  | | | 
% 185.81/30.21  | | | REF_CLOSE: (8), (9), (10), (15), (18), (20), (26), (27), (38), (45), (46),
% 185.81/30.21  | | |            (50), (54) are inconsistent by sub-proof #893.
% 185.81/30.21  | | | 
% 185.81/30.21  | | Case 2:
% 185.81/30.21  | | | 
% 185.81/30.21  | | |   (55)  all_56_10 = e2 & op(e2, e0) = e2
% 185.81/30.21  | | | 
% 185.81/30.21  | | | ALPHA: (55) implies:
% 185.81/30.21  | | |   (56)  all_56_10 = e2
% 185.81/30.21  | | | 
% 185.81/30.21  | | | BETA: splitting (3) gives:
% 185.81/30.21  | | | 
% 185.81/30.21  | | | Case 1:
% 185.81/30.21  | | | | 
% 185.81/30.21  | | | |   (57)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2)
% 185.81/30.21  | | | |           = e1)
% 185.81/30.21  | | | | 
% 185.81/30.21  | | | | BETA: splitting (57) gives:
% 185.81/30.21  | | | | 
% 185.81/30.21  | | | | Case 1:
% 185.81/30.21  | | | | | 
% 185.81/30.21  | | | | |   (58)  all_56_6 = e1 & op(e1, e3) = e1
% 185.81/30.21  | | | | | 
% 185.81/30.21  | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.81/30.21  | | | | |            (13), (15), (16), (19), (20), (21), (26), (27), (28), (29),
% 185.81/30.21  | | | | |            (31), (32), (33), (34), (35), (36), (37), (38), (39), (40),
% 185.81/30.21  | | | | |            (41), (42), (43), (45), (46), (48), (49), (50), (56), (58)
% 185.81/30.21  | | | | |            are inconsistent by sub-proof #764.
% 185.81/30.21  | | | | | 
% 185.81/30.21  | | | | Case 2:
% 185.81/30.21  | | | | | 
% 185.81/30.21  | | | | |   (59)  all_56_7 = e1 & op(e1, e2) = e1
% 185.81/30.21  | | | | | 
% 185.81/30.21  | | | | | ALPHA: (59) implies:
% 185.81/30.21  | | | | |   (60)  all_56_7 = e1
% 185.81/30.21  | | | | | 
% 185.81/30.21  | | | | | BETA: splitting (19) gives:
% 185.81/30.21  | | | | | 
% 185.81/30.21  | | | | | Case 1:
% 185.81/30.21  | | | | | | 
% 185.81/30.21  | | | | | |   (61)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2,
% 185.81/30.21  | | | | | |             e2) = e2)
% 185.81/30.21  | | | | | | 
% 185.81/30.21  | | | | | | BETA: splitting (61) gives:
% 185.81/30.21  | | | | | | 
% 185.81/30.21  | | | | | | Case 1:
% 185.81/30.21  | | | | | | | 
% 185.81/30.21  | | | | | | |   (62)  all_56_1 = e2 & op(e3, e2) = e2
% 185.81/30.21  | | | | | | | 
% 185.81/30.21  | | | | | | | ALPHA: (62) implies:
% 185.81/30.21  | | | | | | |   (63)  all_56_1 = e2
% 185.81/30.21  | | | | | | | 
% 185.81/30.21  | | | | | | | REF_CLOSE: (9), (15), (24), (26), (33), (36), (47), (60), (63) are
% 185.81/30.21  | | | | | | |            inconsistent by sub-proof #763.
% 185.81/30.21  | | | | | | | 
% 185.81/30.21  | | | | | | Case 2:
% 185.81/30.21  | | | | | | | 
% 185.81/30.21  | | | | | | |   (64)  all_56_3 = e2 & op(e2, e2) = e2
% 185.81/30.21  | | | | | | | 
% 185.81/30.21  | | | | | | | ALPHA: (64) implies:
% 185.81/30.21  | | | | | | |   (65)  all_56_3 = e2
% 185.81/30.21  | | | | | | | 
% 185.81/30.21  | | | | | | | REF_CLOSE: (14), (20), (22), (26), (30), (44), (46), (56), (65)
% 185.81/30.21  | | | | | | |            are inconsistent by sub-proof #1063.
% 185.81/30.21  | | | | | | | 
% 185.81/30.21  | | | | | | End of split
% 185.81/30.21  | | | | | | 
% 185.81/30.21  | | | | | Case 2:
% 185.81/30.21  | | | | | | 
% 185.81/30.21  | | | | | |   (66)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0,
% 185.81/30.21  | | | | | |             e2) = e2)
% 185.81/30.21  | | | | | | 
% 185.81/30.21  | | | | | | BETA: splitting (66) gives:
% 185.81/30.21  | | | | | | 
% 185.81/30.21  | | | | | | Case 1:
% 185.81/30.21  | | | | | | | 
% 185.81/30.21  | | | | | | |   (67)  all_56_7 = e2 & op(e1, e2) = e2
% 185.81/30.21  | | | | | | | 
% 185.81/30.21  | | | | | | | ALPHA: (67) implies:
% 185.81/30.21  | | | | | | |   (68)  op(e1, e2) = e2
% 185.81/30.21  | | | | | | | 
% 185.81/30.21  | | | | | | | REF_CLOSE: (26), (28), (43), (68) are inconsistent by sub-proof
% 185.81/30.21  | | | | | | |            #1614.
% 185.81/30.21  | | | | | | | 
% 185.81/30.21  | | | | | | Case 2:
% 185.81/30.21  | | | | | | | 
% 185.81/30.21  | | | | | | |   (69)  all_56_13 = e2 & op(e0, e2) = e2
% 185.81/30.21  | | | | | | | 
% 185.81/30.21  | | | | | | | ALPHA: (69) implies:
% 185.81/30.21  | | | | | | |   (70)  all_56_13 = e2
% 185.81/30.21  | | | | | | | 
% 185.81/30.21  | | | | | | | REF_CLOSE: (6), (9), (10), (15), (20), (26), (33), (36), (38),
% 185.81/30.21  | | | | | | |            (60), (70) are inconsistent by sub-proof #759.
% 185.81/30.21  | | | | | | | 
% 185.81/30.21  | | | | | | End of split
% 185.81/30.21  | | | | | | 
% 185.81/30.21  | | | | | End of split
% 185.81/30.21  | | | | | 
% 185.81/30.21  | | | | End of split
% 185.81/30.21  | | | | 
% 185.81/30.21  | | | Case 2:
% 185.81/30.21  | | | | 
% 185.81/30.21  | | | |   (71)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0)
% 185.81/30.21  | | | |           = e1)
% 185.81/30.21  | | | | 
% 185.81/30.21  | | | | REF_CLOSE: (2), (3), (9), (10), (13), (15), (20), (26), (38), (42),
% 185.81/30.21  | | | |            (45), (46), (71) are inconsistent by sub-proof #758.
% 185.81/30.21  | | | | 
% 185.81/30.21  | | | End of split
% 185.81/30.21  | | | 
% 185.81/30.21  | | End of split
% 185.81/30.21  | | 
% 185.81/30.21  | End of split
% 185.81/30.21  | 
% 185.81/30.21  End of proof
% 185.81/30.21  
% 185.81/30.21  Sub-proof #758 shows that the following formulas are inconsistent:
% 185.81/30.21  ----------------------------------------------------------------
% 185.81/30.21    (1)  all_56_6 = e2
% 185.81/30.21    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.81/30.21         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.81/30.21    (3)   ~ (e1 = e0)
% 185.81/30.21    (4)   ~ (e3 = e0)
% 185.81/30.21    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.81/30.21         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.81/30.21    (6)   ~ (e2 = e0)
% 185.81/30.21    (7)   ~ (e3 = e1)
% 185.81/30.21    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.21    (9)   ~ (e3 = e2)
% 185.81/30.21    (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.81/30.21          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.81/30.21    (11)  op(e1, e1) = e2
% 185.81/30.21    (12)   ~ (e2 = e1)
% 185.81/30.21    (13)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.81/30.21  
% 185.81/30.21  Begin of proof
% 185.81/30.21  | 
% 185.81/30.21  | BETA: splitting (13) gives:
% 185.81/30.21  | 
% 185.81/30.21  | Case 1:
% 185.81/30.21  | | 
% 185.81/30.21  | |   (14)  all_56_8 = e1 & op(e1, e1) = e1
% 185.81/30.21  | | 
% 185.81/30.21  | | ALPHA: (14) implies:
% 185.81/30.21  | |   (15)  op(e1, e1) = e1
% 185.81/30.21  | | 
% 185.81/30.21  | | REF_CLOSE: (8), (11), (12), (15) are inconsistent by sub-proof #1473.
% 185.81/30.21  | | 
% 185.81/30.21  | Case 2:
% 185.81/30.21  | | 
% 185.81/30.21  | |   (16)  all_56_11 = e1 & op(e1, e0) = e1
% 185.81/30.21  | | 
% 185.81/30.21  | | ALPHA: (16) implies:
% 185.81/30.21  | |   (17)  all_56_11 = e1
% 185.81/30.21  | | 
% 185.81/30.21  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.81/30.21  | |            (17) are inconsistent by sub-proof #965.
% 185.81/30.21  | | 
% 185.81/30.21  | End of split
% 185.81/30.21  | 
% 185.81/30.21  End of proof
% 185.81/30.21  
% 185.81/30.21  Sub-proof #759 shows that the following formulas are inconsistent:
% 185.81/30.21  ----------------------------------------------------------------
% 185.81/30.21    (1)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.21         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.81/30.21    (2)   ~ (e1 = e0)
% 185.81/30.21    (3)   ~ (e3 = e0)
% 185.81/30.21    (4)   ~ (e2 = e0)
% 185.81/30.21    (5)   ~ (e3 = e1)
% 185.81/30.21    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.21    (7)  op(e2, e2) = e1
% 185.81/30.21    (8)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.21         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.81/30.21    (9)   ~ (e3 = e2)
% 185.81/30.21    (10)  all_56_7 = e1
% 185.81/30.21    (11)  all_56_13 = e2
% 185.81/30.21  
% 185.81/30.21  Begin of proof
% 185.81/30.21  | 
% 185.81/30.21  | BETA: splitting (1) gives:
% 185.81/30.21  | 
% 185.81/30.21  | Case 1:
% 185.81/30.21  | | 
% 185.81/30.21  | |   (12)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 185.81/30.21  | |           e3)
% 185.81/30.21  | | 
% 185.81/30.21  | | BETA: splitting (12) gives:
% 185.81/30.21  | | 
% 185.81/30.21  | | Case 1:
% 185.81/30.21  | | | 
% 185.81/30.21  | | |   (13)  all_56_1 = e3 & op(e3, e2) = e3
% 185.81/30.21  | | | 
% 185.81/30.21  | | | ALPHA: (13) implies:
% 185.81/30.21  | | |   (14)  all_56_1 = e3
% 185.81/30.21  | | | 
% 185.81/30.21  | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (10), (11), (14) are inconsistent
% 185.81/30.21  | | |            by sub-proof #762.
% 185.81/30.21  | | | 
% 185.81/30.21  | | Case 2:
% 185.81/30.21  | | | 
% 185.81/30.21  | | |   (15)  all_56_3 = e3 & op(e2, e2) = e3
% 185.81/30.21  | | | 
% 185.81/30.21  | | | ALPHA: (15) implies:
% 185.81/30.21  | | |   (16)  op(e2, e2) = e3
% 185.81/30.21  | | | 
% 185.81/30.21  | | | REF_CLOSE: (5), (6), (7), (16) are inconsistent by sub-proof #1347.
% 185.81/30.21  | | | 
% 185.81/30.21  | | End of split
% 185.81/30.21  | | 
% 185.81/30.21  | Case 2:
% 185.81/30.21  | | 
% 185.81/30.21  | |   (17)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 185.81/30.21  | |           e3)
% 185.81/30.21  | | 
% 185.81/30.21  | | BETA: splitting (17) gives:
% 185.81/30.21  | | 
% 185.81/30.21  | | Case 1:
% 185.81/30.21  | | | 
% 185.81/30.21  | | |   (18)  all_56_7 = e3 & op(e1, e2) = e3
% 185.81/30.21  | | | 
% 185.81/30.21  | | | REF_CLOSE: (5), (10), (18) are inconsistent by sub-proof #761.
% 185.81/30.21  | | | 
% 185.81/30.21  | | Case 2:
% 185.81/30.21  | | | 
% 185.81/30.21  | | |   (19)  all_56_13 = e3 & op(e0, e2) = e3
% 185.81/30.21  | | | 
% 185.81/30.21  | | | REF_CLOSE: (9), (11), (19) are inconsistent by sub-proof #760.
% 185.81/30.21  | | | 
% 185.81/30.21  | | End of split
% 185.81/30.21  | | 
% 185.81/30.21  | End of split
% 185.81/30.21  | 
% 185.81/30.21  End of proof
% 185.81/30.21  
% 185.81/30.21  Sub-proof #760 shows that the following formulas are inconsistent:
% 185.81/30.21  ----------------------------------------------------------------
% 185.81/30.21    (1)  all_56_13 = e3 & op(e0, e2) = e3
% 185.81/30.21    (2)  all_56_13 = e2
% 185.81/30.21    (3)   ~ (e3 = e2)
% 185.81/30.21  
% 185.81/30.21  Begin of proof
% 185.81/30.21  | 
% 185.81/30.21  | ALPHA: (1) implies:
% 185.81/30.21  |   (4)  all_56_13 = e3
% 185.81/30.21  | 
% 185.81/30.21  | COMBINE_EQS: (2), (4) imply:
% 185.81/30.21  |   (5)  e3 = e2
% 185.81/30.21  | 
% 185.81/30.21  | REDUCE: (3), (5) imply:
% 185.81/30.21  |   (6)  $false
% 185.81/30.21  | 
% 185.81/30.21  | CLOSE: (6) is inconsistent.
% 185.81/30.21  | 
% 185.81/30.21  End of proof
% 185.81/30.21  
% 185.81/30.21  Sub-proof #761 shows that the following formulas are inconsistent:
% 185.81/30.21  ----------------------------------------------------------------
% 185.81/30.21    (1)  all_56_7 = e3 & op(e1, e2) = e3
% 185.81/30.21    (2)  all_56_7 = e1
% 185.81/30.21    (3)   ~ (e3 = e1)
% 185.81/30.21  
% 185.81/30.21  Begin of proof
% 185.81/30.21  | 
% 185.81/30.21  | ALPHA: (1) implies:
% 185.81/30.21  |   (4)  all_56_7 = e3
% 185.81/30.21  | 
% 185.81/30.21  | COMBINE_EQS: (2), (4) imply:
% 185.81/30.21  |   (5)  e3 = e1
% 185.81/30.21  | 
% 185.81/30.21  | REDUCE: (3), (5) imply:
% 185.81/30.21  |   (6)  $false
% 185.81/30.21  | 
% 185.81/30.21  | CLOSE: (6) is inconsistent.
% 185.81/30.21  | 
% 185.81/30.21  End of proof
% 185.81/30.21  
% 185.81/30.21  Sub-proof #762 shows that the following formulas are inconsistent:
% 185.81/30.21  ----------------------------------------------------------------
% 185.81/30.21    (1)   ~ (e1 = e0)
% 185.81/30.21    (2)   ~ (e3 = e0)
% 185.81/30.21    (3)   ~ (e2 = e0)
% 185.81/30.21    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.21    (5)  all_56_1 = e3
% 185.81/30.21    (6)  op(e2, e2) = e1
% 185.81/30.21    (7)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.21         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.81/30.21    (8)  all_56_7 = e1
% 185.81/30.21    (9)  all_56_13 = e2
% 185.81/30.21  
% 185.81/30.21  Begin of proof
% 185.81/30.21  | 
% 185.81/30.21  | BETA: splitting (7) gives:
% 185.81/30.21  | 
% 185.81/30.21  | Case 1:
% 185.81/30.21  | | 
% 185.81/30.21  | |   (10)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 185.81/30.21  | |           e0)
% 185.81/30.21  | | 
% 185.81/30.21  | | BETA: splitting (10) gives:
% 185.81/30.21  | | 
% 185.81/30.21  | | Case 1:
% 185.81/30.21  | | | 
% 185.81/30.21  | | |   (11)  all_56_1 = e0 & op(e3, e2) = e0
% 185.81/30.21  | | | 
% 185.81/30.21  | | | ALPHA: (11) implies:
% 185.81/30.21  | | |   (12)  all_56_1 = e0
% 185.81/30.21  | | | 
% 185.81/30.21  | | | REF_CLOSE: (2), (5), (12) are inconsistent by sub-proof #1573.
% 185.81/30.21  | | | 
% 185.81/30.21  | | Case 2:
% 185.81/30.21  | | | 
% 185.81/30.21  | | |   (13)  all_56_3 = e0 & op(e2, e2) = e0
% 185.81/30.21  | | | 
% 185.81/30.21  | | | ALPHA: (13) implies:
% 185.81/30.21  | | |   (14)  op(e2, e2) = e0
% 185.81/30.21  | | | 
% 185.81/30.21  | | | REF_CLOSE: (1), (4), (6), (14) are inconsistent by sub-proof #1310.
% 185.81/30.21  | | | 
% 185.81/30.21  | | End of split
% 185.81/30.21  | | 
% 185.81/30.21  | Case 2:
% 185.81/30.21  | | 
% 185.81/30.21  | |   (15)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 185.81/30.21  | |           e0)
% 185.81/30.21  | | 
% 185.81/30.21  | | BETA: splitting (15) gives:
% 185.81/30.21  | | 
% 185.81/30.21  | | Case 1:
% 185.81/30.21  | | | 
% 185.81/30.21  | | |   (16)  all_56_7 = e0 & op(e1, e2) = e0
% 185.81/30.21  | | | 
% 185.81/30.21  | | | REF_CLOSE: (1), (8), (16) are inconsistent by sub-proof #875.
% 185.81/30.21  | | | 
% 185.81/30.21  | | Case 2:
% 185.81/30.21  | | | 
% 185.81/30.21  | | |   (17)  all_56_13 = e0 & op(e0, e2) = e0
% 185.81/30.21  | | | 
% 185.81/30.21  | | | ALPHA: (17) implies:
% 185.81/30.21  | | |   (18)  all_56_13 = e0
% 185.81/30.21  | | | 
% 185.81/30.21  | | | REF_CLOSE: (3), (9), (18) are inconsistent by sub-proof #1014.
% 185.81/30.21  | | | 
% 185.81/30.21  | | End of split
% 185.81/30.21  | | 
% 185.81/30.21  | End of split
% 185.81/30.21  | 
% 185.81/30.21  End of proof
% 185.81/30.21  
% 185.81/30.21  Sub-proof #763 shows that the following formulas are inconsistent:
% 185.81/30.21  ----------------------------------------------------------------
% 185.81/30.21    (1)   ~ (e1 = e0)
% 185.81/30.21    (2)   ~ (e2 = e0)
% 185.81/30.21    (3)   ~ (all_52_7 = e0)
% 185.81/30.21    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.21           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.21    (5)  op(e2, e2) = e1
% 185.81/30.21    (6)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.21         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.81/30.21    (7)  all_56_7 = e1
% 185.81/30.21    (8)  all_56_1 = e2
% 185.81/30.21    (9)  op(e0, e2) = all_52_7
% 185.81/30.21  
% 185.81/30.21  Begin of proof
% 185.81/30.21  | 
% 185.81/30.21  | BETA: splitting (6) gives:
% 185.81/30.21  | 
% 185.81/30.21  | Case 1:
% 185.81/30.21  | | 
% 185.81/30.21  | |   (10)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 185.81/30.21  | |           e0)
% 185.81/30.21  | | 
% 185.81/30.21  | | BETA: splitting (10) gives:
% 185.81/30.21  | | 
% 185.81/30.21  | | Case 1:
% 185.81/30.21  | | | 
% 185.81/30.21  | | |   (11)  all_56_1 = e0 & op(e3, e2) = e0
% 185.81/30.21  | | | 
% 185.81/30.21  | | | REF_CLOSE: (2), (8), (11) are inconsistent by sub-proof #1105.
% 185.81/30.21  | | | 
% 185.81/30.21  | | Case 2:
% 185.81/30.21  | | | 
% 185.81/30.21  | | |   (12)  all_56_3 = e0 & op(e2, e2) = e0
% 185.81/30.21  | | | 
% 185.81/30.21  | | | ALPHA: (12) implies:
% 185.81/30.21  | | |   (13)  op(e2, e2) = e0
% 185.81/30.21  | | | 
% 185.81/30.21  | | | REF_CLOSE: (1), (4), (5), (13) are inconsistent by sub-proof #1310.
% 185.81/30.21  | | | 
% 185.81/30.21  | | End of split
% 185.81/30.21  | | 
% 185.81/30.21  | Case 2:
% 185.81/30.21  | | 
% 185.81/30.21  | |   (14)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 185.81/30.21  | |           e0)
% 185.81/30.21  | | 
% 185.81/30.21  | | BETA: splitting (14) gives:
% 185.81/30.21  | | 
% 185.81/30.21  | | Case 1:
% 185.81/30.21  | | | 
% 185.81/30.21  | | |   (15)  all_56_7 = e0 & op(e1, e2) = e0
% 185.81/30.21  | | | 
% 185.81/30.21  | | | ALPHA: (15) implies:
% 185.81/30.21  | | |   (16)  all_56_7 = e0
% 185.81/30.21  | | | 
% 185.81/30.21  | | | REF_CLOSE: (1), (7), (16) are inconsistent by sub-proof #888.
% 185.81/30.21  | | | 
% 185.81/30.21  | | Case 2:
% 185.81/30.21  | | | 
% 185.81/30.21  | | |   (17)  all_56_13 = e0 & op(e0, e2) = e0
% 185.81/30.21  | | | 
% 185.81/30.21  | | | ALPHA: (17) implies:
% 185.81/30.21  | | |   (18)  op(e0, e2) = e0
% 185.81/30.21  | | | 
% 185.81/30.21  | | | REF_CLOSE: (3), (4), (9), (18) are inconsistent by sub-proof #1463.
% 185.81/30.21  | | | 
% 185.81/30.21  | | End of split
% 185.81/30.21  | | 
% 185.81/30.21  | End of split
% 185.81/30.21  | 
% 185.81/30.21  End of proof
% 185.81/30.21  
% 185.81/30.21  Sub-proof #764 shows that the following formulas are inconsistent:
% 185.81/30.21  ----------------------------------------------------------------
% 185.81/30.21    (1)  op(e0, e0) = all_6_2
% 185.81/30.21    (2)  all_56_6 = e2
% 185.81/30.21    (3)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.81/30.21         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.81/30.21    (4)   ~ (all_4_2 = e0)
% 185.81/30.21    (5)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.21         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.81/30.21    (6)   ~ (all_6_2 = e1)
% 185.81/30.21    (7)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.81/30.21         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.81/30.21    (8)  all_56_10 = e2
% 185.81/30.21    (9)   ~ (e1 = e0)
% 185.81/30.21    (10)   ~ (e3 = e0)
% 185.81/30.21    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.81/30.21          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.81/30.21    (12)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.81/30.21          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.81/30.21    (13)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.81/30.21          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.81/30.21    (14)   ~ (e2 = e0)
% 185.81/30.21    (15)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.21          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.81/30.21    (16)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.81/30.21          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.81/30.21    (17)   ~ (e3 = e1)
% 185.81/30.21    (18)   ~ (all_6_2 = e2)
% 185.81/30.21    (19)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.21            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.21    (20)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.81/30.21          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.81/30.21    (21)   ~ (all_52_6 = e2)
% 185.81/30.21    (22)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.81/30.21          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.81/30.21    (23)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.81/30.21          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.81/30.21    (24)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.81/30.21          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.81/30.21    (25)  op(e2, e2) = e1
% 185.81/30.21    (26)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.81/30.21          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.81/30.21    (27)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.81/30.21          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.81/30.21            e1)
% 185.81/30.21    (28)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.21          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.81/30.21    (29)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.81/30.21          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.81/30.21    (30)   ~ (e3 = e2)
% 185.81/30.21    (31)  op(e3, e1) = all_52_8
% 185.81/30.21    (32)  op(e3, e3) = all_4_2
% 185.81/30.21    (33)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.21          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.81/30.21    (34)  all_56_6 = e1 & op(e1, e3) = e1
% 185.81/30.21    (35)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.81/30.21          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.81/30.21    (36)  op(e1, e2) = all_52_6
% 185.81/30.21    (37)  op(e1, e1) = e2
% 185.81/30.21    (38)   ~ (e2 = e1)
% 185.81/30.21    (39)   ~ (all_4_2 = e1)
% 185.81/30.21    (40)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.81/30.21          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.81/30.21    (41)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.81/30.21          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.81/30.21  
% 185.81/30.21  Begin of proof
% 185.81/30.21  | 
% 185.81/30.21  | ALPHA: (34) implies:
% 185.81/30.21  |   (42)  all_56_6 = e1
% 185.81/30.21  | 
% 185.81/30.21  | COMBINE_EQS: (2), (42) imply:
% 185.81/30.21  |   (43)  e2 = e1
% 185.81/30.21  | 
% 185.81/30.21  | COMBINE_EQS: (8), (43) imply:
% 185.81/30.21  |   (44)  all_56_10 = e1
% 185.81/30.21  | 
% 185.81/30.21  | REF_CLOSE: (1), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13), (14),
% 185.81/30.21  |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 185.81/30.21  |            (26), (27), (28), (29), (30), (31), (32), (33), (35), (36), (37),
% 185.81/30.21  |            (38), (39), (40), (41), (44) are inconsistent by sub-proof #765.
% 185.81/30.21  | 
% 185.81/30.21  End of proof
% 185.81/30.21  
% 185.81/30.21  Sub-proof #765 shows that the following formulas are inconsistent:
% 185.81/30.21  ----------------------------------------------------------------
% 185.81/30.21    (1)  op(e0, e0) = all_6_2
% 185.81/30.21    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.81/30.21         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.81/30.21    (3)   ~ (all_4_2 = e0)
% 185.81/30.21    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.21         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.81/30.21    (5)   ~ (all_6_2 = e1)
% 185.81/30.21    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.81/30.21         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.81/30.21    (7)   ~ (e1 = e0)
% 185.81/30.21    (8)   ~ (e3 = e0)
% 185.81/30.21    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.81/30.21         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.81/30.21    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.81/30.21          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.81/30.21    (11)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.81/30.21          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.81/30.21    (12)   ~ (e2 = e0)
% 185.81/30.21    (13)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.21          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.81/30.21    (14)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.81/30.21          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.81/30.21    (15)   ~ (e3 = e1)
% 185.81/30.21    (16)   ~ (all_6_2 = e2)
% 185.81/30.21    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.21            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.21    (18)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.81/30.21          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.81/30.21    (19)   ~ (all_52_6 = e2)
% 185.81/30.21    (20)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.81/30.21          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.81/30.21    (21)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.81/30.21          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.81/30.21    (22)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.81/30.21          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.81/30.21    (23)  op(e2, e2) = e1
% 185.81/30.21    (24)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.81/30.21          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.81/30.21    (25)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.81/30.21          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.81/30.21            e1)
% 185.81/30.21    (26)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.21          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.81/30.21    (27)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.81/30.21          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.81/30.21    (28)   ~ (e3 = e2)
% 185.81/30.21    (29)  all_56_10 = e1
% 185.81/30.21    (30)  op(e3, e1) = all_52_8
% 185.81/30.21    (31)  op(e3, e3) = all_4_2
% 185.81/30.21    (32)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.21          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.81/30.21    (33)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.81/30.21          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.81/30.21    (34)  op(e1, e2) = all_52_6
% 185.81/30.21    (35)  op(e1, e1) = e2
% 185.81/30.21    (36)   ~ (e2 = e1)
% 185.81/30.21    (37)   ~ (all_4_2 = e1)
% 185.81/30.21    (38)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.81/30.21          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.81/30.21    (39)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.81/30.21          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.81/30.21  
% 185.81/30.21  Begin of proof
% 185.81/30.21  | 
% 185.81/30.21  | BETA: splitting (27) gives:
% 185.81/30.21  | 
% 185.81/30.21  | Case 1:
% 185.81/30.21  | | 
% 185.81/30.21  | |   (40)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 185.81/30.21  | |           e2)
% 185.81/30.21  | | 
% 185.81/30.21  | | BETA: splitting (40) gives:
% 185.81/30.21  | | 
% 185.81/30.21  | | Case 1:
% 185.81/30.21  | | | 
% 185.81/30.21  | | |   (41)  all_56_9 = e2 & op(e3, e0) = e2
% 185.81/30.21  | | | 
% 185.81/30.21  | | | ALPHA: (41) implies:
% 185.81/30.21  | | |   (42)  all_56_9 = e2
% 185.81/30.21  | | | 
% 185.81/30.21  | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13), (14),
% 185.81/30.21  | | |            (15), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 185.81/30.21  | | |            (26), (28), (29), (30), (31), (32), (34), (35), (36), (37),
% 185.81/30.21  | | |            (38), (39), (42) are inconsistent by sub-proof #766.
% 185.81/30.21  | | | 
% 185.81/30.21  | | Case 2:
% 185.81/30.21  | | | 
% 185.81/30.21  | | |   (43)  all_56_10 = e2 & op(e2, e0) = e2
% 185.81/30.21  | | | 
% 185.81/30.21  | | | ALPHA: (43) implies:
% 185.81/30.21  | | |   (44)  all_56_10 = e2
% 185.81/30.21  | | | 
% 185.81/30.21  | | | REF_CLOSE: (29), (36), (44) are inconsistent by sub-proof #1064.
% 185.81/30.21  | | | 
% 185.81/30.21  | | End of split
% 185.81/30.21  | | 
% 185.81/30.21  | Case 2:
% 185.81/30.21  | | 
% 185.81/30.21  | |   (45)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.81/30.21  | |           e2)
% 185.81/30.21  | | 
% 185.81/30.21  | | REF_CLOSE: (1), (2), (7), (8), (11), (12), (15), (16), (17), (28), (33),
% 185.81/30.21  | |            (35), (36), (45) are inconsistent by sub-proof #885.
% 185.81/30.21  | | 
% 185.81/30.21  | End of split
% 185.81/30.21  | 
% 185.81/30.21  End of proof
% 185.81/30.21  
% 185.81/30.21  Sub-proof #766 shows that the following formulas are inconsistent:
% 185.81/30.21  ----------------------------------------------------------------
% 185.81/30.21    (1)  op(e0, e0) = all_6_2
% 185.81/30.21    (2)  all_56_9 = e2
% 185.81/30.21    (3)   ~ (all_4_2 = e0)
% 185.81/30.21    (4)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.21         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.81/30.21    (5)   ~ (all_6_2 = e1)
% 185.81/30.21    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.81/30.21         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.81/30.21    (7)   ~ (e1 = e0)
% 185.81/30.21    (8)   ~ (e3 = e0)
% 185.81/30.21    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.81/30.21         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.81/30.21    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.81/30.21          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.81/30.22    (11)   ~ (e2 = e0)
% 185.81/30.22    (12)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.22          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.81/30.22    (13)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.81/30.22          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.81/30.22    (14)   ~ (e3 = e1)
% 185.81/30.22    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.22            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.22    (16)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.81/30.22          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.81/30.22    (17)   ~ (all_52_6 = e2)
% 185.81/30.22    (18)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.81/30.22          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.81/30.22    (19)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.81/30.22          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.81/30.22    (20)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.81/30.22          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.81/30.22    (21)  op(e2, e2) = e1
% 185.81/30.22    (22)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.81/30.22          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.81/30.22    (23)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.81/30.22          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.81/30.22            e1)
% 185.81/30.22    (24)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.22          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.81/30.22    (25)   ~ (e3 = e2)
% 185.81/30.22    (26)  all_56_10 = e1
% 185.81/30.22    (27)  op(e3, e1) = all_52_8
% 185.81/30.22    (28)  op(e3, e3) = all_4_2
% 185.81/30.22    (29)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.22          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.81/30.22    (30)  op(e1, e2) = all_52_6
% 185.81/30.22    (31)  op(e1, e1) = e2
% 185.81/30.22    (32)   ~ (e2 = e1)
% 185.81/30.22    (33)   ~ (all_4_2 = e1)
% 185.81/30.22    (34)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.81/30.22          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.81/30.22    (35)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.81/30.22          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.81/30.22  
% 185.81/30.22  Begin of proof
% 185.81/30.22  | 
% 185.81/30.22  | BETA: splitting (18) gives:
% 185.81/30.22  | 
% 185.81/30.22  | Case 1:
% 185.81/30.22  | | 
% 185.81/30.22  | |   (36)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) =
% 185.81/30.22  | |           e1)
% 185.81/30.22  | | 
% 185.81/30.22  | | BETA: splitting (36) gives:
% 185.81/30.22  | | 
% 185.81/30.22  | | Case 1:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (37)  all_56_0 = e1 & op(e3, e3) = e1
% 185.81/30.22  | | | 
% 185.81/30.22  | | | ALPHA: (37) implies:
% 185.81/30.22  | | |   (38)  op(e3, e3) = e1
% 185.81/30.22  | | | 
% 185.81/30.22  | | | REF_CLOSE: (15), (28), (33), (38) are inconsistent by sub-proof #1525.
% 185.81/30.22  | | | 
% 185.81/30.22  | | Case 2:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (39)  all_56_1 = e1 & op(e3, e2) = e1
% 185.81/30.22  | | | 
% 185.81/30.22  | | | ALPHA: (39) implies:
% 185.81/30.22  | | |   (40)  all_56_1 = e1
% 185.81/30.22  | | | 
% 185.81/30.22  | | | REF_CLOSE: (2), (3), (4), (7), (8), (9), (11), (13), (14), (15), (17),
% 185.81/30.22  | | |            (20), (21), (22), (24), (25), (27), (28), (30), (32), (40) are
% 185.81/30.22  | | |            inconsistent by sub-proof #771.
% 185.81/30.22  | | | 
% 185.81/30.22  | | End of split
% 185.81/30.22  | | 
% 185.81/30.22  | Case 2:
% 185.81/30.22  | | 
% 185.81/30.22  | |   (41)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 185.81/30.22  | |           e1)
% 185.81/30.22  | | 
% 185.81/30.22  | | BETA: splitting (41) gives:
% 185.81/30.22  | | 
% 185.81/30.22  | | Case 1:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (42)  all_56_4 = e1 & op(e3, e1) = e1
% 185.81/30.22  | | | 
% 185.81/30.22  | | | ALPHA: (42) implies:
% 185.81/30.22  | | |   (43)  all_56_4 = e1
% 185.81/30.22  | | |   (44)  op(e3, e1) = e1
% 185.81/30.22  | | | 
% 185.81/30.22  | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 185.81/30.22  | | |            (14), (15), (16), (17), (19), (20), (21), (23), (25), (26),
% 185.81/30.22  | | |            (28), (29), (30), (31), (32), (34), (35), (43), (44) are
% 185.81/30.22  | | |            inconsistent by sub-proof #767.
% 185.81/30.22  | | | 
% 185.81/30.22  | | Case 2:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (45)  all_56_9 = e1 & op(e3, e0) = e1
% 185.81/30.22  | | | 
% 185.81/30.22  | | | REF_CLOSE: (2), (32), (45) are inconsistent by sub-proof #1565.
% 185.81/30.22  | | | 
% 185.81/30.22  | | End of split
% 185.81/30.22  | | 
% 185.81/30.22  | End of split
% 185.81/30.22  | 
% 185.81/30.22  End of proof
% 185.81/30.22  
% 185.81/30.22  Sub-proof #767 shows that the following formulas are inconsistent:
% 185.81/30.22  ----------------------------------------------------------------
% 185.81/30.22    (1)  op(e3, e1) = e1
% 185.81/30.22    (2)  op(e0, e0) = all_6_2
% 185.81/30.22    (3)  all_56_9 = e2
% 185.81/30.22    (4)   ~ (all_4_2 = e0)
% 185.81/30.22    (5)   ~ (all_6_2 = e1)
% 185.81/30.22    (6)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.81/30.22         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.81/30.22    (7)   ~ (e1 = e0)
% 185.81/30.22    (8)   ~ (e3 = e0)
% 185.81/30.22    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.81/30.22         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.81/30.22    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.81/30.22          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.81/30.22    (11)   ~ (e2 = e0)
% 185.81/30.22    (12)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.22          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.81/30.22    (13)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.81/30.22          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.81/30.22    (14)   ~ (e3 = e1)
% 185.81/30.22    (15)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.22            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.22    (16)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.81/30.22          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.81/30.22    (17)  all_56_4 = e1
% 185.81/30.22    (18)   ~ (all_52_6 = e2)
% 185.81/30.22    (19)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.81/30.22          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.81/30.22    (20)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.81/30.22          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.81/30.22    (21)  op(e2, e2) = e1
% 185.81/30.22    (22)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.81/30.22          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.81/30.22            e1)
% 185.81/30.22    (23)   ~ (e3 = e2)
% 185.81/30.22    (24)  all_56_10 = e1
% 185.81/30.22    (25)  op(e3, e3) = all_4_2
% 185.81/30.22    (26)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.22          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.81/30.22    (27)  op(e1, e2) = all_52_6
% 185.81/30.22    (28)  op(e1, e1) = e2
% 185.81/30.22    (29)   ~ (e2 = e1)
% 185.81/30.22    (30)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.81/30.22          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.81/30.22    (31)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.81/30.22          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.81/30.22  
% 185.81/30.22  Begin of proof
% 185.81/30.22  | 
% 185.81/30.22  | BETA: splitting (9) gives:
% 185.81/30.22  | 
% 185.81/30.22  | Case 1:
% 185.81/30.22  | | 
% 185.81/30.22  | |   (32)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 185.81/30.22  | |           e0)
% 185.81/30.22  | | 
% 185.81/30.22  | | BETA: splitting (32) gives:
% 185.81/30.22  | | 
% 185.81/30.22  | | Case 1:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (33)  all_56_0 = e0 & op(e3, e3) = e0
% 185.81/30.22  | | | 
% 185.81/30.22  | | | ALPHA: (33) implies:
% 185.81/30.22  | | |   (34)  op(e3, e3) = e0
% 185.81/30.22  | | | 
% 185.81/30.22  | | | REF_CLOSE: (4), (15), (25), (34) are inconsistent by sub-proof #1624.
% 185.81/30.22  | | | 
% 185.81/30.22  | | Case 2:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (35)  all_56_1 = e0 & op(e3, e2) = e0
% 185.81/30.22  | | | 
% 185.81/30.22  | | | ALPHA: (35) implies:
% 185.81/30.22  | | |   (36)  all_56_1 = e0
% 185.81/30.22  | | | 
% 185.81/30.22  | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 185.81/30.22  | | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 185.81/30.22  | | |            (24), (25), (26), (27), (28), (29), (30), (31), (36) are
% 185.81/30.22  | | |            inconsistent by sub-proof #768.
% 185.81/30.22  | | | 
% 185.81/30.22  | | End of split
% 185.81/30.22  | | 
% 185.81/30.22  | Case 2:
% 185.81/30.22  | | 
% 185.81/30.22  | |   (37)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 185.81/30.22  | |           e0)
% 185.81/30.22  | | 
% 185.81/30.22  | | BETA: splitting (37) gives:
% 185.81/30.22  | | 
% 185.81/30.22  | | Case 1:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (38)  all_56_4 = e0 & op(e3, e1) = e0
% 185.81/30.22  | | | 
% 185.81/30.22  | | | ALPHA: (38) implies:
% 185.81/30.22  | | |   (39)  op(e3, e1) = e0
% 185.81/30.22  | | | 
% 185.81/30.22  | | | REF_CLOSE: (1), (7), (15), (39) are inconsistent by sub-proof #1571.
% 185.81/30.22  | | | 
% 185.81/30.22  | | Case 2:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (40)  all_56_9 = e0 & op(e3, e0) = e0
% 185.81/30.22  | | | 
% 185.81/30.22  | | | REF_CLOSE: (3), (11), (40) are inconsistent by sub-proof #1574.
% 185.81/30.22  | | | 
% 185.81/30.22  | | End of split
% 185.81/30.22  | | 
% 185.81/30.22  | End of split
% 185.81/30.22  | 
% 185.81/30.22  End of proof
% 185.81/30.22  
% 185.81/30.22  Sub-proof #768 shows that the following formulas are inconsistent:
% 185.81/30.22  ----------------------------------------------------------------
% 185.81/30.22    (1)  op(e0, e0) = all_6_2
% 185.81/30.22    (2)  all_56_9 = e2
% 185.81/30.22    (3)   ~ (all_4_2 = e0)
% 185.81/30.22    (4)   ~ (all_6_2 = e1)
% 185.81/30.22    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.81/30.22         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.81/30.22    (6)   ~ (e1 = e0)
% 185.81/30.22    (7)  all_56_1 = e0
% 185.81/30.22    (8)   ~ (e3 = e0)
% 185.81/30.22    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.81/30.22         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.81/30.22    (10)   ~ (e2 = e0)
% 185.81/30.22    (11)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.22          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.81/30.22    (12)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.81/30.22          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.81/30.22    (13)   ~ (e3 = e1)
% 185.81/30.22    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.22            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.22    (15)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.81/30.22          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.81/30.22    (16)  all_56_4 = e1
% 185.81/30.22    (17)   ~ (all_52_6 = e2)
% 185.81/30.22    (18)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.81/30.22          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.81/30.22    (19)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.81/30.22          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.81/30.22    (20)  op(e2, e2) = e1
% 185.81/30.22    (21)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.81/30.22          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.81/30.22            e1)
% 185.81/30.22    (22)   ~ (e3 = e2)
% 185.81/30.22    (23)  all_56_10 = e1
% 185.81/30.22    (24)  op(e3, e3) = all_4_2
% 185.81/30.22    (25)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.22          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.81/30.22    (26)  op(e1, e2) = all_52_6
% 185.81/30.22    (27)  op(e1, e1) = e2
% 185.81/30.22    (28)   ~ (e2 = e1)
% 185.81/30.22    (29)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.81/30.22          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.81/30.22    (30)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.81/30.22          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.81/30.22  
% 185.81/30.22  Begin of proof
% 185.81/30.22  | 
% 185.81/30.22  | BETA: splitting (12) gives:
% 185.81/30.22  | 
% 185.81/30.22  | Case 1:
% 185.81/30.22  | | 
% 185.81/30.22  | |   (31)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 185.81/30.22  | |           e2)
% 185.81/30.22  | | 
% 185.81/30.22  | | BETA: splitting (31) gives:
% 185.81/30.22  | | 
% 185.81/30.22  | | Case 1:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (32)  all_56_1 = e2 & op(e3, e2) = e2
% 185.81/30.22  | | | 
% 185.81/30.22  | | | ALPHA: (32) implies:
% 185.81/30.22  | | |   (33)  all_56_1 = e2
% 185.81/30.22  | | | 
% 185.81/30.22  | | | REF_CLOSE: (7), (10), (33) are inconsistent by sub-proof #1019.
% 185.81/30.22  | | | 
% 185.81/30.22  | | Case 2:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (34)  all_56_3 = e2 & op(e2, e2) = e2
% 185.81/30.22  | | | 
% 185.81/30.22  | | | ALPHA: (34) implies:
% 185.81/30.22  | | |   (35)  op(e2, e2) = e2
% 185.81/30.22  | | | 
% 185.81/30.22  | | | REF_CLOSE: (14), (20), (28), (35) are inconsistent by sub-proof #1487.
% 185.81/30.22  | | | 
% 185.81/30.22  | | End of split
% 185.81/30.22  | | 
% 185.81/30.22  | Case 2:
% 185.81/30.22  | | 
% 185.81/30.22  | |   (36)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 185.81/30.22  | |           e2)
% 185.81/30.22  | | 
% 185.81/30.22  | | BETA: splitting (36) gives:
% 185.81/30.22  | | 
% 185.81/30.22  | | Case 1:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (37)  all_56_7 = e2 & op(e1, e2) = e2
% 185.81/30.22  | | | 
% 185.81/30.22  | | | ALPHA: (37) implies:
% 185.81/30.22  | | |   (38)  op(e1, e2) = e2
% 185.81/30.22  | | | 
% 185.81/30.22  | | | REF_CLOSE: (14), (17), (26), (38) are inconsistent by sub-proof #1614.
% 185.81/30.22  | | | 
% 185.81/30.22  | | Case 2:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (39)  all_56_13 = e2 & op(e0, e2) = e2
% 185.81/30.22  | | | 
% 185.81/30.22  | | | ALPHA: (39) implies:
% 185.81/30.22  | | |   (40)  all_56_13 = e2
% 185.81/30.22  | | | 
% 185.81/30.22  | | | BETA: splitting (18) gives:
% 185.81/30.22  | | | 
% 185.81/30.22  | | | Case 1:
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | |   (41)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2)
% 185.81/30.22  | | | |           = e2)
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | | BETA: splitting (41) gives:
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | | Case 1:
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | |   (42)  all_56_2 = e2 & op(e2, e3) = e2
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | | ALPHA: (42) implies:
% 185.81/30.22  | | | | |   (43)  all_56_2 = e2
% 185.81/30.22  | | | | |   (44)  op(e2, e3) = e2
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | | REF_CLOSE: (6), (8), (10), (11), (13), (14), (20), (22), (23), (25),
% 185.81/30.22  | | | | |            (43), (44) are inconsistent by sub-proof #770.
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | Case 2:
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | |   (45)  all_56_3 = e2 & op(e2, e2) = e2
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | | ALPHA: (45) implies:
% 185.81/30.22  | | | | |   (46)  op(e2, e2) = e2
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | | REF_CLOSE: (14), (20), (28), (46) are inconsistent by sub-proof #1487.
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | End of split
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | Case 2:
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | |   (47)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0)
% 185.81/30.22  | | | |           = e2)
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | | BETA: splitting (47) gives:
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | | Case 1:
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | |   (48)  all_56_5 = e2 & op(e2, e1) = e2
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | | ALPHA: (48) implies:
% 185.81/30.22  | | | | |   (49)  all_56_5 = e2
% 185.81/30.22  | | | | |   (50)  op(e2, e1) = e2
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | | BETA: splitting (19) gives:
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | | Case 1:
% 185.81/30.22  | | | | | | 
% 185.81/30.22  | | | | | |   (51)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3,
% 185.81/30.22  | | | | | |             e2) = e3)
% 185.81/30.22  | | | | | | 
% 185.81/30.22  | | | | | | BETA: splitting (51) gives:
% 185.81/30.22  | | | | | | 
% 185.81/30.22  | | | | | | Case 1:
% 185.81/30.22  | | | | | | | 
% 185.81/30.22  | | | | | | |   (52)  all_56_0 = e3 & op(e3, e3) = e3
% 185.81/30.22  | | | | | | | 
% 185.81/30.22  | | | | | | | ALPHA: (52) implies:
% 185.81/30.22  | | | | | | |   (53)  op(e3, e3) = e3
% 185.81/30.22  | | | | | | | 
% 185.81/30.22  | | | | | | | BETA: splitting (25) gives:
% 185.81/30.22  | | | | | | | 
% 185.81/30.22  | | | | | | | Case 1:
% 185.81/30.22  | | | | | | | | 
% 185.81/30.22  | | | | | | | |   (54)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 &
% 185.81/30.22  | | | | | | | |           op(e2, e2) = e3)
% 185.81/30.22  | | | | | | | | 
% 185.81/30.22  | | | | | | | | BETA: splitting (54) gives:
% 185.81/30.22  | | | | | | | | 
% 185.81/30.22  | | | | | | | | Case 1:
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | |   (55)  all_56_2 = e3 & op(e2, e3) = e3
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | ALPHA: (55) implies:
% 185.81/30.22  | | | | | | | | |   (56)  all_56_2 = e3
% 185.81/30.22  | | | | | | | | |   (57)  op(e2, e3) = e3
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | BETA: splitting (21) gives:
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | Case 1:
% 185.81/30.22  | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | |   (58)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1
% 185.81/30.22  | | | | | | | | | |           & op(e0, e2) = e1)
% 185.81/30.22  | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | BETA: splitting (58) gives:
% 185.81/30.22  | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | Case 1:
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | |   (59)  all_56_12 = e1 & op(e0, e3) = e1
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | | ALPHA: (59) implies:
% 185.81/30.22  | | | | | | | | | | |   (60)  all_56_12 = e1
% 185.81/30.22  | | | | | | | | | | |   (61)  op(e0, e3) = e1
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | | REF_CLOSE: (3), (6), (8), (9), (10), (14), (22), (24), (28),
% 185.81/30.22  | | | | | | | | | | |            (29), (53), (56), (57), (60), (61) are
% 185.81/30.22  | | | | | | | | | | |            inconsistent by sub-proof #1588.
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | Case 2:
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | |   (62)  all_56_13 = e1 & op(e0, e2) = e1
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | | ALPHA: (62) implies:
% 185.81/30.22  | | | | | | | | | | |   (63)  all_56_13 = e1
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | | REF_CLOSE: (7), (10), (12), (14), (17), (20), (26), (28),
% 185.81/30.22  | | | | | | | | | | |            (63) are inconsistent by sub-proof #1245.
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | End of split
% 185.81/30.22  | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | Case 2:
% 185.81/30.22  | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | |   (64)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1
% 185.81/30.22  | | | | | | | | | |           & op(e0, e0) = e1)
% 185.81/30.22  | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | REF_CLOSE: (1), (4), (5), (6), (8), (10), (13), (14), (15),
% 185.81/30.22  | | | | | | | | | |            (22), (27), (28), (30), (49), (64) are
% 185.81/30.22  | | | | | | | | | |            inconsistent by sub-proof #892.
% 185.81/30.22  | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | End of split
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | Case 2:
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | |   (65)  all_56_3 = e3 & op(e2, e2) = e3
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | ALPHA: (65) implies:
% 185.81/30.22  | | | | | | | | |   (66)  op(e2, e2) = e3
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | REF_CLOSE: (13), (14), (20), (66) are inconsistent by
% 185.81/30.22  | | | | | | | | |            sub-proof #1347.
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | End of split
% 185.81/30.22  | | | | | | | | 
% 185.81/30.22  | | | | | | | Case 2:
% 185.81/30.22  | | | | | | | | 
% 185.81/30.22  | | | | | | | |   (67)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 185.81/30.22  | | | | | | | |           op(e2, e0) = e3)
% 185.81/30.22  | | | | | | | | 
% 185.81/30.22  | | | | | | | | BETA: splitting (67) gives:
% 185.81/30.22  | | | | | | | | 
% 185.81/30.22  | | | | | | | | Case 1:
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | |   (68)  all_56_5 = e3 & op(e2, e1) = e3
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | ALPHA: (68) implies:
% 185.81/30.22  | | | | | | | | |   (69)  op(e2, e1) = e3
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | REF_CLOSE: (14), (22), (50), (69) are inconsistent by
% 185.81/30.22  | | | | | | | | |            sub-proof #1297.
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | Case 2:
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | |   (70)  all_56_10 = e3 & op(e2, e0) = e3
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | REF_CLOSE: (13), (23), (70) are inconsistent by sub-proof
% 185.81/30.22  | | | | | | | | |            #1141.
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | End of split
% 185.81/30.22  | | | | | | | | 
% 185.81/30.22  | | | | | | | End of split
% 185.81/30.22  | | | | | | | 
% 185.81/30.22  | | | | | | Case 2:
% 185.81/30.22  | | | | | | | 
% 185.81/30.22  | | | | | | |   (71)  all_56_1 = e3 & op(e3, e2) = e3
% 185.81/30.22  | | | | | | | 
% 185.81/30.22  | | | | | | | ALPHA: (71) implies:
% 185.81/30.22  | | | | | | |   (72)  all_56_1 = e3
% 185.81/30.22  | | | | | | | 
% 185.81/30.22  | | | | | | | REF_CLOSE: (7), (8), (72) are inconsistent by sub-proof #1573.
% 185.81/30.22  | | | | | | | 
% 185.81/30.22  | | | | | | End of split
% 185.81/30.22  | | | | | | 
% 185.81/30.22  | | | | | Case 2:
% 185.81/30.22  | | | | | | 
% 185.81/30.22  | | | | | |   (73)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3,
% 185.81/30.22  | | | | | |             e0) = e3)
% 185.81/30.22  | | | | | | 
% 185.81/30.22  | | | | | | REF_CLOSE: (2), (13), (16), (22), (73) are inconsistent by sub-proof
% 185.81/30.22  | | | | | |            #769.
% 185.81/30.22  | | | | | | 
% 185.81/30.22  | | | | | End of split
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | Case 2:
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | |   (74)  all_56_10 = e2 & op(e2, e0) = e2
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | | ALPHA: (74) implies:
% 185.81/30.22  | | | | |   (75)  all_56_10 = e2
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | | COMBINE_EQS: (23), (75) imply:
% 185.81/30.22  | | | | |   (76)  e2 = e1
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | | COMBINE_EQS: (40), (76) imply:
% 185.81/30.22  | | | | |   (77)  all_56_13 = e1
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | | REF_CLOSE: (7), (10), (12), (14), (17), (20), (26), (28), (77) are
% 185.81/30.22  | | | | |            inconsistent by sub-proof #1245.
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | End of split
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | End of split
% 185.81/30.22  | | | 
% 185.81/30.22  | | End of split
% 185.81/30.22  | | 
% 185.81/30.22  | End of split
% 185.81/30.22  | 
% 185.81/30.22  End of proof
% 185.81/30.22  
% 185.81/30.22  Sub-proof #769 shows that the following formulas are inconsistent:
% 185.81/30.22  ----------------------------------------------------------------
% 185.81/30.22    (1)  all_56_9 = e2
% 185.81/30.22    (2)   ~ (e3 = e1)
% 185.81/30.22    (3)  all_56_4 = e1
% 185.81/30.22    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.81/30.22    (5)   ~ (e3 = e2)
% 185.81/30.22  
% 185.81/30.22  Begin of proof
% 185.81/30.22  | 
% 185.81/30.22  | BETA: splitting (4) gives:
% 185.81/30.22  | 
% 185.81/30.22  | Case 1:
% 185.81/30.22  | | 
% 185.81/30.22  | |   (6)  all_56_4 = e3 & op(e3, e1) = e3
% 185.81/30.22  | | 
% 185.81/30.22  | | ALPHA: (6) implies:
% 185.81/30.22  | |   (7)  all_56_4 = e3
% 185.81/30.22  | | 
% 185.81/30.22  | | REF_CLOSE: (2), (3), (7) are inconsistent by sub-proof #1567.
% 185.81/30.22  | | 
% 185.81/30.22  | Case 2:
% 185.81/30.22  | | 
% 185.81/30.22  | |   (8)  all_56_9 = e3 & op(e3, e0) = e3
% 185.81/30.22  | | 
% 185.81/30.22  | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #1401.
% 185.81/30.22  | | 
% 185.81/30.22  | End of split
% 185.81/30.22  | 
% 185.81/30.22  End of proof
% 185.81/30.22  
% 185.81/30.22  Sub-proof #770 shows that the following formulas are inconsistent:
% 185.81/30.22  ----------------------------------------------------------------
% 185.81/30.22    (1)   ~ (e1 = e0)
% 185.81/30.22    (2)  all_56_2 = e2
% 185.81/30.22    (3)   ~ (e3 = e0)
% 185.81/30.22    (4)   ~ (e2 = e0)
% 185.81/30.22    (5)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.22         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.81/30.22    (6)   ~ (e3 = e1)
% 185.81/30.22    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.22           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.22    (8)  op(e2, e3) = e2
% 185.81/30.22    (9)  op(e2, e2) = e1
% 185.81/30.22    (10)   ~ (e3 = e2)
% 185.81/30.22    (11)  all_56_10 = e1
% 185.81/30.22    (12)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.22          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.81/30.22  
% 185.81/30.22  Begin of proof
% 185.81/30.22  | 
% 185.81/30.22  | BETA: splitting (12) gives:
% 185.81/30.22  | 
% 185.81/30.22  | Case 1:
% 185.81/30.22  | | 
% 185.81/30.22  | |   (13)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 185.81/30.22  | |           e3)
% 185.81/30.22  | | 
% 185.81/30.22  | | BETA: splitting (13) gives:
% 185.81/30.22  | | 
% 185.81/30.22  | | Case 1:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (14)  all_56_2 = e3 & op(e2, e3) = e3
% 185.81/30.22  | | | 
% 185.81/30.22  | | | ALPHA: (14) implies:
% 185.81/30.22  | | |   (15)  all_56_2 = e3
% 185.81/30.22  | | | 
% 185.81/30.22  | | | REF_CLOSE: (2), (10), (15) are inconsistent by sub-proof #1414.
% 185.81/30.22  | | | 
% 185.81/30.22  | | Case 2:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (16)  all_56_3 = e3 & op(e2, e2) = e3
% 185.81/30.22  | | | 
% 185.81/30.22  | | | ALPHA: (16) implies:
% 185.81/30.22  | | |   (17)  op(e2, e2) = e3
% 185.81/30.22  | | | 
% 185.81/30.22  | | | REF_CLOSE: (6), (7), (9), (17) are inconsistent by sub-proof #1347.
% 185.81/30.22  | | | 
% 185.81/30.22  | | End of split
% 185.81/30.22  | | 
% 185.81/30.22  | Case 2:
% 185.81/30.22  | | 
% 185.81/30.22  | |   (18)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.81/30.22  | |           e3)
% 185.81/30.22  | | 
% 185.81/30.22  | | BETA: splitting (18) gives:
% 185.81/30.22  | | 
% 185.81/30.22  | | Case 1:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (19)  all_56_5 = e3 & op(e2, e1) = e3
% 185.81/30.22  | | | 
% 185.81/30.22  | | | ALPHA: (19) implies:
% 185.81/30.22  | | |   (20)  all_56_5 = e3
% 185.81/30.22  | | | 
% 185.81/30.22  | | | BETA: splitting (5) gives:
% 185.81/30.22  | | | 
% 185.81/30.22  | | | Case 1:
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | |   (21)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2)
% 185.81/30.22  | | | |           = e0)
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | | REF_CLOSE: (1), (4), (7), (8), (9), (21) are inconsistent by sub-proof
% 185.81/30.22  | | | |            #1309.
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | Case 2:
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | |   (22)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0)
% 185.81/30.22  | | | |           = e0)
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | | BETA: splitting (22) gives:
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | | Case 1:
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | |   (23)  all_56_5 = e0 & op(e2, e1) = e0
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | | ALPHA: (23) implies:
% 185.81/30.22  | | | | |   (24)  all_56_5 = e0
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | | REF_CLOSE: (3), (20), (24) are inconsistent by sub-proof #1410.
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | Case 2:
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | |   (25)  all_56_10 = e0 & op(e2, e0) = e0
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | | ALPHA: (25) implies:
% 185.81/30.22  | | | | |   (26)  all_56_10 = e0
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | | REF_CLOSE: (1), (11), (26) are inconsistent by sub-proof #1184.
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | End of split
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | End of split
% 185.81/30.22  | | | 
% 185.81/30.22  | | Case 2:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (27)  all_56_10 = e3 & op(e2, e0) = e3
% 185.81/30.22  | | | 
% 185.81/30.22  | | | REF_CLOSE: (6), (11), (27) are inconsistent by sub-proof #1141.
% 185.81/30.22  | | | 
% 185.81/30.22  | | End of split
% 185.81/30.22  | | 
% 185.81/30.22  | End of split
% 185.81/30.22  | 
% 185.81/30.22  End of proof
% 185.81/30.22  
% 185.81/30.22  Sub-proof #771 shows that the following formulas are inconsistent:
% 185.81/30.22  ----------------------------------------------------------------
% 185.81/30.22    (1)  all_56_9 = e2
% 185.81/30.22    (2)   ~ (all_4_2 = e0)
% 185.81/30.22    (3)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.22         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.81/30.22    (4)   ~ (e1 = e0)
% 185.81/30.22    (5)   ~ (e3 = e0)
% 185.81/30.22    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.81/30.22         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.81/30.22    (7)   ~ (e2 = e0)
% 185.81/30.22    (8)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.81/30.22         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.81/30.22    (9)   ~ (e3 = e1)
% 185.81/30.22    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.22            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.22    (11)   ~ (all_52_6 = e2)
% 185.81/30.22    (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.81/30.22          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.81/30.22    (13)  op(e2, e2) = e1
% 185.81/30.22    (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.81/30.22          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.81/30.22    (15)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.22          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.81/30.22    (16)   ~ (e3 = e2)
% 185.81/30.22    (17)  op(e3, e1) = all_52_8
% 185.81/30.22    (18)  op(e3, e3) = all_4_2
% 185.81/30.22    (19)  all_56_1 = e1
% 185.81/30.22    (20)  op(e1, e2) = all_52_6
% 185.81/30.22    (21)   ~ (e2 = e1)
% 185.81/30.22  
% 185.81/30.22  Begin of proof
% 185.81/30.22  | 
% 185.81/30.22  | BETA: splitting (8) gives:
% 185.81/30.22  | 
% 185.81/30.22  | Case 1:
% 185.81/30.22  | | 
% 185.81/30.22  | |   (22)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 185.81/30.22  | |           e2)
% 185.81/30.22  | | 
% 185.81/30.22  | | BETA: splitting (22) gives:
% 185.81/30.22  | | 
% 185.81/30.22  | | Case 1:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (23)  all_56_1 = e2 & op(e3, e2) = e2
% 185.81/30.22  | | | 
% 185.81/30.22  | | | ALPHA: (23) implies:
% 185.81/30.22  | | |   (24)  all_56_1 = e2
% 185.81/30.22  | | | 
% 185.81/30.22  | | | REF_CLOSE: (19), (21), (24) are inconsistent by sub-proof #1396.
% 185.81/30.22  | | | 
% 185.81/30.22  | | Case 2:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (25)  all_56_3 = e2 & op(e2, e2) = e2
% 185.81/30.22  | | | 
% 185.81/30.22  | | | ALPHA: (25) implies:
% 185.81/30.22  | | |   (26)  op(e2, e2) = e2
% 185.81/30.22  | | | 
% 185.81/30.22  | | | REF_CLOSE: (10), (13), (21), (26) are inconsistent by sub-proof #1487.
% 185.81/30.22  | | | 
% 185.81/30.22  | | End of split
% 185.81/30.22  | | 
% 185.81/30.22  | Case 2:
% 185.81/30.22  | | 
% 185.81/30.22  | |   (27)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 185.81/30.22  | |           e2)
% 185.81/30.22  | | 
% 185.81/30.22  | | BETA: splitting (27) gives:
% 185.81/30.22  | | 
% 185.81/30.22  | | Case 1:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (28)  all_56_7 = e2 & op(e1, e2) = e2
% 185.81/30.22  | | | 
% 185.81/30.22  | | | ALPHA: (28) implies:
% 185.81/30.22  | | |   (29)  op(e1, e2) = e2
% 185.81/30.22  | | | 
% 185.81/30.22  | | | REF_CLOSE: (10), (11), (20), (29) are inconsistent by sub-proof #1614.
% 185.81/30.22  | | | 
% 185.81/30.22  | | Case 2:
% 185.81/30.22  | | | 
% 185.81/30.22  | | |   (30)  all_56_13 = e2 & op(e0, e2) = e2
% 185.81/30.22  | | | 
% 185.81/30.22  | | | ALPHA: (30) implies:
% 185.81/30.22  | | |   (31)  all_56_13 = e2
% 185.81/30.22  | | | 
% 185.81/30.22  | | | BETA: splitting (6) gives:
% 185.81/30.22  | | | 
% 185.81/30.22  | | | Case 1:
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | |   (32)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2)
% 185.81/30.22  | | | |           = e0)
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | | REF_CLOSE: (2), (4), (10), (18), (19), (32) are inconsistent by
% 185.81/30.22  | | | |            sub-proof #1580.
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | Case 2:
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | |   (33)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0)
% 185.81/30.22  | | | |           = e0)
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | | BETA: splitting (33) gives:
% 185.81/30.22  | | | | 
% 185.81/30.22  | | | | Case 1:
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | |   (34)  all_56_4 = e0 & op(e3, e1) = e0
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | | ALPHA: (34) implies:
% 185.81/30.22  | | | | |   (35)  all_56_4 = e0
% 185.81/30.22  | | | | |   (36)  op(e3, e1) = e0
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | | BETA: splitting (3) gives:
% 185.81/30.22  | | | | | 
% 185.81/30.22  | | | | | Case 1:
% 185.81/30.22  | | | | | | 
% 185.81/30.22  | | | | | |   (37)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2,
% 185.81/30.22  | | | | | |             e2) = e3)
% 185.81/30.22  | | | | | | 
% 185.81/30.22  | | | | | | REF_CLOSE: (9), (10), (13), (19), (37) are inconsistent by sub-proof
% 185.81/30.22  | | | | | |            #773.
% 185.81/30.22  | | | | | | 
% 185.81/30.22  | | | | | Case 2:
% 185.81/30.22  | | | | | | 
% 185.81/30.22  | | | | | |   (38)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0,
% 185.81/30.22  | | | | | |             e2) = e3)
% 185.81/30.22  | | | | | | 
% 185.81/30.22  | | | | | | BETA: splitting (38) gives:
% 185.81/30.22  | | | | | | 
% 185.81/30.22  | | | | | | Case 1:
% 185.81/30.22  | | | | | | | 
% 185.81/30.22  | | | | | | |   (39)  all_56_7 = e3 & op(e1, e2) = e3
% 185.81/30.22  | | | | | | | 
% 185.81/30.22  | | | | | | | ALPHA: (39) implies:
% 185.81/30.22  | | | | | | |   (40)  all_56_7 = e3
% 185.81/30.22  | | | | | | | 
% 185.81/30.22  | | | | | | | BETA: splitting (12) gives:
% 185.81/30.22  | | | | | | | 
% 185.81/30.22  | | | | | | | Case 1:
% 185.81/30.22  | | | | | | | | 
% 185.81/30.22  | | | | | | | |   (41)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 &
% 185.81/30.22  | | | | | | | |           op(e3, e2) = e3)
% 185.81/30.22  | | | | | | | | 
% 185.81/30.22  | | | | | | | | BETA: splitting (41) gives:
% 185.81/30.22  | | | | | | | | 
% 185.81/30.22  | | | | | | | | Case 1:
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | |   (42)  all_56_0 = e3 & op(e3, e3) = e3
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | ALPHA: (42) implies:
% 185.81/30.22  | | | | | | | | |   (43)  op(e3, e3) = e3
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | BETA: splitting (15) gives:
% 185.81/30.22  | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | Case 1:
% 185.81/30.22  | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | |   (44)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 &
% 185.81/30.22  | | | | | | | | | |           op(e2, e2) = e0)
% 185.81/30.22  | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | BETA: splitting (44) gives:
% 185.81/30.22  | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | Case 1:
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | |   (45)  all_56_1 = e0 & op(e3, e2) = e0
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | | ALPHA: (45) implies:
% 185.81/30.22  | | | | | | | | | | |   (46)  all_56_1 = e0
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | | REF_CLOSE: (4), (19), (46) are inconsistent by sub-proof
% 185.81/30.22  | | | | | | | | | | |            #1432.
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | Case 2:
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | |   (47)  all_56_3 = e0 & op(e2, e2) = e0
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | | ALPHA: (47) implies:
% 185.81/30.22  | | | | | | | | | | |   (48)  op(e2, e2) = e0
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | | REF_CLOSE: (4), (10), (13), (48) are inconsistent by
% 185.81/30.22  | | | | | | | | | | |            sub-proof #1310.
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | End of split
% 185.81/30.22  | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | Case 2:
% 185.81/30.22  | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | |   (49)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0
% 185.81/30.22  | | | | | | | | | |           & op(e0, e2) = e0)
% 185.81/30.22  | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | BETA: splitting (49) gives:
% 185.81/30.22  | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | Case 1:
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | |   (50)  all_56_7 = e0 & op(e1, e2) = e0
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | | ALPHA: (50) implies:
% 185.81/30.22  | | | | | | | | | | |   (51)  all_56_7 = e0
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | | REF_CLOSE: (5), (40), (51) are inconsistent by sub-proof
% 185.81/30.22  | | | | | | | | | | |            #1464.
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | Case 2:
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | |   (52)  all_56_13 = e0 & op(e0, e2) = e0
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | | ALPHA: (52) implies:
% 185.81/30.22  | | | | | | | | | | |   (53)  all_56_13 = e0
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | | COMBINE_EQS: (31), (53) imply:
% 185.81/30.22  | | | | | | | | | | |   (54)  e2 = e0
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | | SIMP: (54) implies:
% 185.81/30.22  | | | | | | | | | | |   (55)  e2 = e0
% 185.81/30.22  | | | | | | | | | | | 
% 185.81/30.22  | | | | | | | | | | | COMBINE_EQS: (1), (55) imply:
% 185.81/30.23  | | | | | | | | | | |   (56)  all_56_9 = e0
% 185.81/30.23  | | | | | | | | | | | 
% 185.81/30.23  | | | | | | | | | | | REF_CLOSE: (7), (10), (14), (16), (19), (21), (35), (43),
% 185.81/30.23  | | | | | | | | | | |            (56) are inconsistent by sub-proof #1392.
% 185.81/30.23  | | | | | | | | | | | 
% 185.81/30.23  | | | | | | | | | | End of split
% 185.81/30.23  | | | | | | | | | | 
% 185.81/30.23  | | | | | | | | | End of split
% 185.81/30.23  | | | | | | | | | 
% 185.81/30.23  | | | | | | | | Case 2:
% 185.81/30.23  | | | | | | | | | 
% 185.81/30.23  | | | | | | | | |   (57)  all_56_1 = e3 & op(e3, e2) = e3
% 185.81/30.23  | | | | | | | | | 
% 185.81/30.23  | | | | | | | | | ALPHA: (57) implies:
% 185.81/30.23  | | | | | | | | |   (58)  all_56_1 = e3
% 185.81/30.23  | | | | | | | | | 
% 185.81/30.23  | | | | | | | | | COMBINE_EQS: (19), (58) imply:
% 185.81/30.23  | | | | | | | | |   (59)  e3 = e1
% 185.81/30.23  | | | | | | | | | 
% 185.81/30.23  | | | | | | | | | SIMP: (59) implies:
% 185.81/30.23  | | | | | | | | |   (60)  e3 = e1
% 185.81/30.23  | | | | | | | | | 
% 185.81/30.23  | | | | | | | | | COMBINE_EQS: (40), (60) imply:
% 185.81/30.23  | | | | | | | | |   (61)  all_56_7 = e1
% 185.81/30.23  | | | | | | | | | 
% 185.81/30.23  | | | | | | | | | BETA: splitting (3) gives:
% 185.81/30.23  | | | | | | | | | 
% 185.81/30.23  | | | | | | | | | Case 1:
% 185.81/30.23  | | | | | | | | | | 
% 185.81/30.23  | | | | | | | | | |   (62)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 &
% 185.81/30.23  | | | | | | | | | |           op(e2, e2) = e3)
% 185.81/30.23  | | | | | | | | | | 
% 185.81/30.23  | | | | | | | | | | REF_CLOSE: (9), (10), (13), (19), (62) are inconsistent by
% 185.81/30.23  | | | | | | | | | |            sub-proof #773.
% 185.81/30.23  | | | | | | | | | | 
% 185.81/30.23  | | | | | | | | | Case 2:
% 185.81/30.23  | | | | | | | | | | 
% 185.81/30.23  | | | | | | | | | | 
% 185.81/30.23  | | | | | | | | | | REF_CLOSE: (9), (16), (31), (38), (61) are inconsistent by
% 185.81/30.23  | | | | | | | | | |            sub-proof #772.
% 185.81/30.23  | | | | | | | | | | 
% 185.81/30.23  | | | | | | | | | End of split
% 185.81/30.23  | | | | | | | | | 
% 185.81/30.23  | | | | | | | | End of split
% 185.81/30.23  | | | | | | | | 
% 185.81/30.23  | | | | | | | Case 2:
% 185.81/30.23  | | | | | | | | 
% 185.81/30.23  | | | | | | | |   (63)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 &
% 185.81/30.23  | | | | | | | |           op(e3, e0) = e3)
% 185.81/30.23  | | | | | | | | 
% 185.81/30.23  | | | | | | | | REF_CLOSE: (1), (5), (10), (16), (17), (36), (63) are
% 185.81/30.23  | | | | | | | |            inconsistent by sub-proof #1400.
% 185.81/30.23  | | | | | | | | 
% 185.81/30.23  | | | | | | | End of split
% 185.81/30.23  | | | | | | | 
% 185.81/30.23  | | | | | | Case 2:
% 185.81/30.23  | | | | | | | 
% 185.81/30.23  | | | | | | |   (64)  all_56_13 = e3 & op(e0, e2) = e3
% 185.81/30.23  | | | | | | | 
% 185.81/30.23  | | | | | | | ALPHA: (64) implies:
% 185.81/30.23  | | | | | | |   (65)  all_56_13 = e3
% 185.81/30.23  | | | | | | | 
% 185.81/30.23  | | | | | | | REF_CLOSE: (16), (31), (65) are inconsistent by sub-proof #1121.
% 185.81/30.23  | | | | | | | 
% 185.81/30.23  | | | | | | End of split
% 185.81/30.23  | | | | | | 
% 185.81/30.23  | | | | | End of split
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | Case 2:
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | |   (66)  all_56_9 = e0 & op(e3, e0) = e0
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | | REF_CLOSE: (1), (7), (66) are inconsistent by sub-proof #1574.
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | End of split
% 185.81/30.23  | | | | 
% 185.81/30.23  | | | End of split
% 185.81/30.23  | | | 
% 185.81/30.23  | | End of split
% 185.81/30.23  | | 
% 185.81/30.23  | End of split
% 185.81/30.23  | 
% 185.81/30.23  End of proof
% 185.81/30.23  
% 185.81/30.23  Sub-proof #772 shows that the following formulas are inconsistent:
% 185.81/30.23  ----------------------------------------------------------------
% 185.81/30.23    (1)   ~ (e3 = e1)
% 185.81/30.23    (2)   ~ (e3 = e2)
% 185.81/30.23    (3)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.81/30.23    (4)  all_56_7 = e1
% 185.81/30.23    (5)  all_56_13 = e2
% 185.81/30.23  
% 185.81/30.23  Begin of proof
% 185.81/30.23  | 
% 185.81/30.23  | BETA: splitting (3) gives:
% 185.81/30.23  | 
% 185.81/30.23  | Case 1:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (6)  all_56_7 = e3 & op(e1, e2) = e3
% 185.81/30.23  | | 
% 185.81/30.23  | | ALPHA: (6) implies:
% 185.81/30.23  | |   (7)  all_56_7 = e3
% 185.81/30.23  | | 
% 185.81/30.23  | | REF_CLOSE: (1), (4), (7) are inconsistent by sub-proof #1172.
% 185.81/30.23  | | 
% 185.81/30.23  | Case 2:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (8)  all_56_13 = e3 & op(e0, e2) = e3
% 185.81/30.23  | | 
% 185.81/30.23  | | ALPHA: (8) implies:
% 185.81/30.23  | |   (9)  all_56_13 = e3
% 185.81/30.23  | | 
% 185.81/30.23  | | REF_CLOSE: (2), (5), (9) are inconsistent by sub-proof #1121.
% 185.81/30.23  | | 
% 185.81/30.23  | End of split
% 185.81/30.23  | 
% 185.81/30.23  End of proof
% 185.81/30.23  
% 185.81/30.23  Sub-proof #773 shows that the following formulas are inconsistent:
% 185.81/30.23  ----------------------------------------------------------------
% 185.81/30.23    (1)   ~ (e3 = e1)
% 185.81/30.23    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.23    (3)  op(e2, e2) = e1
% 185.81/30.23    (4)  all_56_1 = e1
% 185.81/30.23    (5)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 185.81/30.23  
% 185.81/30.23  Begin of proof
% 185.81/30.23  | 
% 185.81/30.23  | BETA: splitting (5) gives:
% 185.81/30.23  | 
% 185.81/30.23  | Case 1:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (6)  all_56_1 = e3 & op(e3, e2) = e3
% 185.81/30.23  | | 
% 185.81/30.23  | | ALPHA: (6) implies:
% 185.81/30.23  | |   (7)  all_56_1 = e3
% 185.81/30.23  | | 
% 185.81/30.23  | | REF_CLOSE: (1), (4), (7) are inconsistent by sub-proof #1403.
% 185.81/30.23  | | 
% 185.81/30.23  | Case 2:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (8)  all_56_3 = e3 & op(e2, e2) = e3
% 185.81/30.23  | | 
% 185.81/30.23  | | ALPHA: (8) implies:
% 185.81/30.23  | |   (9)  op(e2, e2) = e3
% 185.81/30.23  | | 
% 185.81/30.23  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #1347.
% 185.81/30.23  | | 
% 185.81/30.23  | End of split
% 185.81/30.23  | 
% 185.81/30.23  End of proof
% 185.81/30.23  
% 185.81/30.23  Sub-proof #774 shows that the following formulas are inconsistent:
% 185.81/30.23  ----------------------------------------------------------------
% 185.81/30.23    (1)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.81/30.23    (2)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 185.81/30.23    (3)   ~ (all_52_1 = e2)
% 185.81/30.23    (4)  op(e2, e3) = all_52_1
% 185.81/30.23    (5)  all_54_4 = all_52_1
% 185.81/30.23    (6)   ~ (all_52_1 = e3)
% 185.81/30.23    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.23    (8)   ~ (all_52_1 = e1)
% 185.81/30.23    (9)  op(e2, e2) = e1
% 185.81/30.23    (10)   ~ (e2 = e1)
% 185.81/30.23  
% 185.81/30.23  Begin of proof
% 185.81/30.23  | 
% 185.81/30.23  | BETA: splitting (2) gives:
% 185.81/30.23  | 
% 185.81/30.23  | Case 1:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (11)  all_56_2 = e2 & op(e2, e3) = e2
% 185.81/30.23  | | 
% 185.81/30.23  | | ALPHA: (11) implies:
% 185.81/30.23  | |   (12)  op(e2, e3) = e2
% 185.81/30.23  | | 
% 185.81/30.23  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (12) are inconsistent by
% 185.81/30.23  | |            sub-proof #1075.
% 185.81/30.23  | | 
% 185.81/30.23  | Case 2:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (13)  all_56_3 = e2 & op(e2, e2) = e2
% 185.81/30.23  | | 
% 185.81/30.23  | | ALPHA: (13) implies:
% 185.81/30.23  | |   (14)  op(e2, e2) = e2
% 185.81/30.23  | | 
% 185.81/30.23  | | REF_CLOSE: (7), (9), (10), (14) are inconsistent by sub-proof #1487.
% 185.81/30.23  | | 
% 185.81/30.23  | End of split
% 185.81/30.23  | 
% 185.81/30.23  End of proof
% 185.81/30.23  
% 185.81/30.23  Sub-proof #775 shows that the following formulas are inconsistent:
% 185.81/30.23  ----------------------------------------------------------------
% 185.81/30.23    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 185.81/30.23    (2)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.81/30.23    (3)   ~ (all_52_1 = e2)
% 185.81/30.23    (4)  op(e2, e3) = all_52_1
% 185.81/30.23    (5)  all_54_4 = all_52_1
% 185.81/30.23    (6)   ~ (all_52_1 = e3)
% 185.81/30.23    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.23    (8)   ~ (all_52_1 = e1)
% 185.81/30.23    (9)   ~ (e3 = e2)
% 185.81/30.23    (10)  op(e3, e3) = e3
% 185.81/30.23  
% 185.81/30.23  Begin of proof
% 185.81/30.23  | 
% 185.81/30.23  | BETA: splitting (1) gives:
% 185.81/30.23  | 
% 185.81/30.23  | Case 1:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (11)  all_56_0 = e2 & op(e3, e3) = e2
% 185.81/30.23  | | 
% 185.81/30.23  | | ALPHA: (11) implies:
% 185.81/30.23  | |   (12)  op(e3, e3) = e2
% 185.81/30.23  | | 
% 185.81/30.23  | | REF_CLOSE: (7), (9), (10), (12) are inconsistent by sub-proof #1594.
% 185.81/30.23  | | 
% 185.81/30.23  | Case 2:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (13)  all_56_2 = e2 & op(e2, e3) = e2
% 185.81/30.23  | | 
% 185.81/30.23  | | ALPHA: (13) implies:
% 185.81/30.23  | |   (14)  op(e2, e3) = e2
% 185.81/30.23  | | 
% 185.81/30.23  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (14) are inconsistent by
% 185.81/30.23  | |            sub-proof #1075.
% 185.81/30.23  | | 
% 185.81/30.23  | End of split
% 185.81/30.23  | 
% 185.81/30.23  End of proof
% 185.81/30.23  
% 185.81/30.23  Sub-proof #776 shows that the following formulas are inconsistent:
% 185.81/30.23  ----------------------------------------------------------------
% 185.81/30.23    (1)  op(e0, e0) = all_6_2
% 185.81/30.23    (2)  all_56_10 = e3
% 185.81/30.23    (3)   ~ (all_6_2 = e2)
% 185.81/30.23    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.23    (5)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.81/30.23         (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.81/30.23    (6)   ~ (e3 = e2)
% 185.81/30.23    (7)  all_56_9 = e3
% 185.81/30.23    (8)   ~ (e2 = e1)
% 185.81/30.23    (9)  all_56_11 = e1
% 185.81/30.23  
% 185.81/30.23  Begin of proof
% 185.81/30.23  | 
% 185.81/30.23  | BETA: splitting (5) gives:
% 185.81/30.23  | 
% 185.81/30.23  | Case 1:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (10)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 185.81/30.23  | |           e2)
% 185.81/30.23  | | 
% 185.81/30.23  | | BETA: splitting (10) gives:
% 185.81/30.23  | | 
% 185.81/30.23  | | Case 1:
% 185.81/30.23  | | | 
% 185.81/30.23  | | |   (11)  all_56_9 = e2 & op(e3, e0) = e2
% 185.81/30.23  | | | 
% 185.81/30.23  | | | REF_CLOSE: (6), (7), (11) are inconsistent by sub-proof #777.
% 185.81/30.23  | | | 
% 185.81/30.23  | | Case 2:
% 185.81/30.23  | | | 
% 185.81/30.23  | | |   (12)  all_56_10 = e2 & op(e2, e0) = e2
% 185.81/30.23  | | | 
% 185.81/30.23  | | | ALPHA: (12) implies:
% 185.81/30.23  | | |   (13)  all_56_10 = e2
% 185.81/30.23  | | | 
% 185.81/30.23  | | | REF_CLOSE: (2), (6), (13) are inconsistent by sub-proof #958.
% 185.81/30.23  | | | 
% 185.81/30.23  | | End of split
% 185.81/30.23  | | 
% 185.81/30.23  | Case 2:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (14)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.81/30.23  | |           e2)
% 185.81/30.23  | | 
% 185.81/30.23  | | REF_CLOSE: (1), (3), (4), (8), (9), (14) are inconsistent by sub-proof #955.
% 185.81/30.23  | | 
% 185.81/30.23  | End of split
% 185.81/30.23  | 
% 185.81/30.23  End of proof
% 185.81/30.23  
% 185.81/30.23  Sub-proof #777 shows that the following formulas are inconsistent:
% 185.81/30.23  ----------------------------------------------------------------
% 185.81/30.23    (1)  all_56_9 = e2 & op(e3, e0) = e2
% 185.81/30.23    (2)  all_56_9 = e3
% 185.81/30.23    (3)   ~ (e3 = e2)
% 185.81/30.23  
% 185.81/30.23  Begin of proof
% 185.81/30.23  | 
% 185.81/30.23  | ALPHA: (1) implies:
% 185.81/30.23  |   (4)  all_56_9 = e2
% 185.81/30.23  | 
% 185.81/30.23  | COMBINE_EQS: (2), (4) imply:
% 185.81/30.23  |   (5)  e3 = e2
% 185.81/30.23  | 
% 185.81/30.23  | REDUCE: (3), (5) imply:
% 185.81/30.23  |   (6)  $false
% 185.81/30.23  | 
% 185.81/30.23  | CLOSE: (6) is inconsistent.
% 185.81/30.23  | 
% 185.81/30.23  End of proof
% 185.81/30.23  
% 185.81/30.23  Sub-proof #778 shows that the following formulas are inconsistent:
% 185.81/30.23  ----------------------------------------------------------------
% 185.81/30.23    (1)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 =
% 185.81/30.23             e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0)
% 185.81/30.23           & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.81/30.23             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.81/30.23           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 185.81/30.23           $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 185.81/30.23           $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 185.81/30.23           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 185.81/30.23           & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 185.81/30.23           op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 185.81/30.23           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 185.81/30.23           $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 185.81/30.23           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.81/30.23               op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 185.81/30.23               e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 185.81/30.23    (2)  all_57_23 = e2
% 185.81/30.23    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.23    (4)  all_57_31 = e0
% 185.81/30.23  
% 185.81/30.23  Begin of proof
% 185.81/30.23  | 
% 185.81/30.23  | BETA: splitting (1) gives:
% 185.81/30.23  | 
% 185.81/30.23  | Case 1:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (5)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 185.81/30.23  | |        (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.81/30.23  | |        (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) =
% 185.81/30.23  | |        all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 185.81/30.23  | |        op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.81/30.23  | |        $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.81/30.23  | |        $i(all_57_23) & $i(all_57_30)
% 185.81/30.23  | | 
% 185.81/30.23  | | ALPHA: (5) implies:
% 185.81/30.23  | |   (6)   ~ (all_57_9 = e2)
% 185.81/30.23  | |   (7)  op(e1, e2) = all_57_23
% 185.81/30.23  | |   (8)  op(e1, all_57_23) = all_57_9
% 185.81/30.23  | | 
% 185.81/30.23  | | REDUCE: (2), (8) imply:
% 185.81/30.23  | |   (9)  op(e1, e2) = all_57_9
% 185.81/30.23  | | 
% 185.81/30.23  | | REDUCE: (2), (7) imply:
% 185.81/30.23  | |   (10)  op(e1, e2) = e2
% 185.81/30.23  | | 
% 185.81/30.23  | | GROUND_INST: instantiating (3) with e2, all_57_9, e2, e1, simplifying with
% 185.81/30.23  | |              (9), (10) gives:
% 185.81/30.23  | |   (11)  all_57_9 = e2
% 185.81/30.23  | | 
% 185.81/30.23  | | REDUCE: (6), (11) imply:
% 185.81/30.23  | |   (12)  $false
% 185.81/30.23  | | 
% 185.81/30.23  | | CLOSE: (12) is inconsistent.
% 185.81/30.23  | | 
% 185.81/30.23  | Case 2:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (13)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.81/30.23  | |         (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 185.81/30.23  | |         = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 185.81/30.23  | |         all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.81/30.23  | |           e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.81/30.23  | |         $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 185.81/30.23  | |         (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 185.81/30.23  | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 185.81/30.23  | |           (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 185.81/30.23  | | 
% 185.81/30.23  | | REF_CLOSE: (3), (4), (13) are inconsistent by sub-proof #1584.
% 185.81/30.23  | | 
% 185.81/30.23  | End of split
% 185.81/30.23  | 
% 185.81/30.23  End of proof
% 185.81/30.23  
% 185.81/30.23  Sub-proof #779 shows that the following formulas are inconsistent:
% 185.81/30.23  ----------------------------------------------------------------
% 185.81/30.23    (1)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 185.81/30.23    (2)  op(e2, e2) = all_57_29
% 185.81/30.23    (3)   ~ (all_57_29 = e2)
% 185.81/30.23    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.23    (5)  op(e3, e3) = e1
% 185.81/30.23    (6)   ~ (e2 = e1)
% 185.81/30.23  
% 185.81/30.23  Begin of proof
% 185.81/30.23  | 
% 185.81/30.23  | BETA: splitting (1) gives:
% 185.81/30.23  | 
% 185.81/30.23  | Case 1:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (7)  all_57_28 = e2 & op(e3, e3) = e2
% 185.81/30.23  | | 
% 185.81/30.23  | | ALPHA: (7) implies:
% 185.81/30.23  | |   (8)  op(e3, e3) = e2
% 185.81/30.23  | | 
% 185.81/30.23  | | REF_CLOSE: (4), (5), (6), (8) are inconsistent by sub-proof #1582.
% 185.81/30.23  | | 
% 185.81/30.23  | Case 2:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (9)  all_57_29 = e2 & op(e2, e2) = e2
% 185.81/30.23  | | 
% 185.81/30.23  | | ALPHA: (9) implies:
% 185.81/30.23  | |   (10)  op(e2, e2) = e2
% 185.81/30.23  | | 
% 185.81/30.23  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1043.
% 185.81/30.23  | | 
% 185.81/30.23  | End of split
% 185.81/30.23  | 
% 185.81/30.23  End of proof
% 185.81/30.23  
% 185.81/30.23  Sub-proof #780 shows that the following formulas are inconsistent:
% 185.81/30.23  ----------------------------------------------------------------
% 185.81/30.23    (1)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 185.81/30.23    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.23    (3)  op(e2, e2) = e1
% 185.81/30.23    (4)  op(e3, e3) = e1
% 185.81/30.23    (5)   ~ (e2 = e1)
% 185.81/30.23  
% 185.81/30.23  Begin of proof
% 185.81/30.23  | 
% 185.81/30.23  | BETA: splitting (1) gives:
% 185.81/30.23  | 
% 185.81/30.23  | Case 1:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (6)  all_57_28 = e2 & op(e3, e3) = e2
% 185.81/30.23  | | 
% 185.81/30.23  | | ALPHA: (6) implies:
% 185.81/30.23  | |   (7)  op(e3, e3) = e2
% 185.81/30.23  | | 
% 185.81/30.23  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #1582.
% 185.81/30.23  | | 
% 185.81/30.23  | Case 2:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (8)  all_57_29 = e2 & op(e2, e2) = e2
% 185.81/30.23  | | 
% 185.81/30.23  | | ALPHA: (8) implies:
% 185.81/30.23  | |   (9)  op(e2, e2) = e2
% 185.81/30.23  | | 
% 185.81/30.23  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #1487.
% 185.81/30.23  | | 
% 185.81/30.23  | End of split
% 185.81/30.23  | 
% 185.81/30.23  End of proof
% 185.81/30.23  
% 185.81/30.23  Sub-proof #781 shows that the following formulas are inconsistent:
% 185.81/30.23  ----------------------------------------------------------------
% 185.81/30.23    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.23    (2)  op(e1, e1) = all_46_0
% 185.81/30.23    (3)  op(e1, e1) = e3
% 185.81/30.23    (4)   ~ (all_46_0 = e3)
% 185.81/30.23  
% 185.81/30.23  Begin of proof
% 185.81/30.23  | 
% 185.81/30.23  | GROUND_INST: instantiating (1) with e3, all_46_0, e1, e1, simplifying with
% 185.81/30.23  |              (2), (3) gives:
% 185.81/30.23  |   (5)  all_46_0 = e3
% 185.81/30.23  | 
% 185.81/30.23  | REDUCE: (4), (5) imply:
% 185.81/30.23  |   (6)  $false
% 185.81/30.23  | 
% 185.81/30.23  | CLOSE: (6) is inconsistent.
% 185.81/30.23  | 
% 185.81/30.23  End of proof
% 185.81/30.23  
% 185.81/30.23  Sub-proof #782 shows that the following formulas are inconsistent:
% 185.81/30.23  ----------------------------------------------------------------
% 185.81/30.23    (1)   ~ (e1 = e0)
% 185.81/30.23    (2)  all_56_13 = e3
% 185.81/30.23    (3)   ~ (e3 = e0)
% 185.81/30.23    (4)  op(e0, e1) = e1
% 185.81/30.23    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.23    (6)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.81/30.23  
% 185.81/30.23  Begin of proof
% 185.81/30.23  | 
% 185.81/30.23  | BETA: splitting (6) gives:
% 185.81/30.23  | 
% 185.81/30.23  | Case 1:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (7)  all_56_13 = e0 & op(e0, e2) = e0
% 185.81/30.23  | | 
% 185.81/30.23  | | ALPHA: (7) implies:
% 185.81/30.23  | |   (8)  all_56_13 = e0
% 185.81/30.23  | | 
% 185.81/30.23  | | REF_CLOSE: (2), (3), (8) are inconsistent by sub-proof #783.
% 185.81/30.23  | | 
% 185.81/30.23  | Case 2:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (9)  all_56_14 = e0 & op(e0, e1) = e0
% 185.81/30.23  | | 
% 185.81/30.23  | | ALPHA: (9) implies:
% 185.81/30.23  | |   (10)  op(e0, e1) = e0
% 185.81/30.23  | | 
% 185.81/30.23  | | REF_CLOSE: (1), (4), (5), (10) are inconsistent by sub-proof #1171.
% 185.81/30.23  | | 
% 185.81/30.23  | End of split
% 185.81/30.23  | 
% 185.81/30.23  End of proof
% 185.81/30.23  
% 185.81/30.23  Sub-proof #783 shows that the following formulas are inconsistent:
% 185.81/30.23  ----------------------------------------------------------------
% 185.81/30.23    (1)  all_56_13 = e3
% 185.81/30.23    (2)  all_56_13 = e0
% 185.81/30.23    (3)   ~ (e3 = e0)
% 185.81/30.23  
% 185.81/30.23  Begin of proof
% 185.81/30.23  | 
% 185.81/30.23  | COMBINE_EQS: (1), (2) imply:
% 185.81/30.23  |   (4)  e3 = e0
% 185.81/30.23  | 
% 185.81/30.23  | SIMP: (4) implies:
% 185.81/30.23  |   (5)  e3 = e0
% 185.81/30.23  | 
% 185.81/30.23  | REDUCE: (3), (5) imply:
% 185.81/30.23  |   (6)  $false
% 185.81/30.23  | 
% 185.81/30.23  | CLOSE: (6) is inconsistent.
% 185.81/30.23  | 
% 185.81/30.23  End of proof
% 185.81/30.23  
% 185.81/30.23  Sub-proof #784 shows that the following formulas are inconsistent:
% 185.81/30.23  ----------------------------------------------------------------
% 185.81/30.23    (1)  op(e0, e0) = all_6_2
% 185.81/30.23    (2)   ~ (all_6_2 = e1)
% 185.81/30.23    (3)  all_56_12 = e3 & op(e0, e3) = e3
% 185.81/30.23    (4)   ~ (e1 = e0)
% 185.81/30.23    (5)   ~ (e3 = e0)
% 185.81/30.23    (6)   ~ (e2 = e0)
% 185.81/30.23    (7)   ~ (e3 = e1)
% 185.81/30.23    (8)   ~ (all_6_2 = e2)
% 185.81/30.23    (9)  op(e0, e3) = all_52_3
% 185.81/30.23    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.23            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.23    (11)  op(e0, e0) = e3
% 185.81/30.23    (12)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.81/30.23          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.81/30.23            e1)
% 185.81/30.23    (13)   ~ (e3 = e2)
% 185.81/30.23    (14)   ~ (all_52_7 = e2)
% 185.81/30.23    (15)   ~ (e2 = e1)
% 185.81/30.23    (16)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.81/30.23          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.81/30.23            e2)
% 185.81/30.23    (17)  op(e0, e2) = all_52_7
% 185.81/30.23    (18)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.81/30.23              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.81/30.23                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.81/30.23                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.81/30.23  
% 185.81/30.23  Begin of proof
% 185.81/30.23  | 
% 185.81/30.23  | ALPHA: (3) implies:
% 185.81/30.23  |   (19)  all_56_12 = e3
% 185.81/30.23  |   (20)  op(e0, e3) = e3
% 185.81/30.23  | 
% 185.81/30.23  | BETA: splitting (16) gives:
% 185.81/30.23  | 
% 185.81/30.23  | Case 1:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (21)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 185.81/30.23  | |           e2)
% 185.81/30.23  | | 
% 185.81/30.23  | | REF_CLOSE: (10), (13), (14), (17), (20), (21) are inconsistent by sub-proof
% 185.81/30.23  | |            #854.
% 185.81/30.23  | | 
% 185.81/30.23  | Case 2:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (22)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.81/30.23  | |           e2)
% 185.81/30.23  | | 
% 185.81/30.23  | | BETA: splitting (22) gives:
% 185.81/30.23  | | 
% 185.81/30.23  | | Case 1:
% 185.81/30.23  | | | 
% 185.81/30.23  | | |   (23)  all_56_14 = e2 & op(e0, e1) = e2
% 185.81/30.23  | | | 
% 185.81/30.23  | | | ALPHA: (23) implies:
% 185.81/30.23  | | |   (24)  all_56_14 = e2
% 185.81/30.23  | | | 
% 185.81/30.23  | | | BETA: splitting (18) gives:
% 185.81/30.23  | | | 
% 185.81/30.23  | | | Case 1:
% 185.81/30.23  | | | | 
% 185.81/30.23  | | | |   (25)  all_56_15 = e0 & op(e0, e0) = e0
% 185.81/30.23  | | | | 
% 185.81/30.23  | | | | ALPHA: (25) implies:
% 185.81/30.23  | | | |   (26)  op(e0, e0) = e0
% 185.81/30.23  | | | | 
% 185.81/30.23  | | | | REF_CLOSE: (5), (10), (11), (26) are inconsistent by sub-proof #1540.
% 185.81/30.23  | | | | 
% 185.81/30.23  | | | Case 2:
% 185.81/30.23  | | | | 
% 185.81/30.23  | | | |   (27)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2,
% 185.81/30.23  | | | |               e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 185.81/30.23  | | | |         ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0,
% 185.81/30.23  | | | |               e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 185.81/30.23  | | | | 
% 185.81/30.23  | | | | ALPHA: (27) implies:
% 185.81/30.23  | | | |   (28)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0,
% 185.81/30.23  | | | |             e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.81/30.23  | | | | 
% 185.81/30.23  | | | | BETA: splitting (12) gives:
% 185.81/30.23  | | | | 
% 185.81/30.23  | | | | Case 1:
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | |   (29)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0,
% 185.81/30.23  | | | | |             e2) = e1)
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | | BETA: splitting (29) gives:
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | | Case 1:
% 185.81/30.23  | | | | | | 
% 185.81/30.23  | | | | | |   (30)  all_56_12 = e1 & op(e0, e3) = e1
% 185.81/30.23  | | | | | | 
% 185.81/30.23  | | | | | | ALPHA: (30) implies:
% 185.81/30.23  | | | | | |   (31)  op(e0, e3) = e1
% 185.81/30.23  | | | | | | 
% 185.81/30.23  | | | | | | REF_CLOSE: (7), (9), (10), (20), (31) are inconsistent by sub-proof
% 185.81/30.23  | | | | | |            #1529.
% 185.81/30.23  | | | | | | 
% 185.81/30.23  | | | | | Case 2:
% 185.81/30.23  | | | | | | 
% 185.81/30.23  | | | | | |   (32)  all_56_13 = e1 & op(e0, e2) = e1
% 185.81/30.23  | | | | | | 
% 185.81/30.23  | | | | | | ALPHA: (32) implies:
% 185.81/30.23  | | | | | |   (33)  all_56_13 = e1
% 185.81/30.23  | | | | | | 
% 185.81/30.23  | | | | | | REF_CLOSE: (4), (5), (6), (19), (24), (28), (33) are inconsistent by
% 185.81/30.23  | | | | | |            sub-proof #852.
% 185.81/30.23  | | | | | | 
% 185.81/30.23  | | | | | End of split
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | Case 2:
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | |   (34)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 185.81/30.23  | | | | |             e0) = e1)
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | | REF_CLOSE: (1), (2), (8), (10), (13), (14), (15), (16), (17), (19),
% 185.81/30.23  | | | | |            (34) are inconsistent by sub-proof #851.
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | End of split
% 185.81/30.23  | | | | 
% 185.81/30.23  | | | End of split
% 185.81/30.23  | | | 
% 185.81/30.23  | | Case 2:
% 185.81/30.23  | | | 
% 185.81/30.23  | | |   (35)  all_56_15 = e2 & op(e0, e0) = e2
% 185.81/30.23  | | | 
% 185.81/30.23  | | | ALPHA: (35) implies:
% 185.81/30.23  | | |   (36)  op(e0, e0) = e2
% 185.81/30.23  | | | 
% 185.81/30.23  | | | REF_CLOSE: (1), (8), (10), (36) are inconsistent by sub-proof #1511.
% 185.81/30.23  | | | 
% 185.81/30.23  | | End of split
% 185.81/30.23  | | 
% 185.81/30.23  | End of split
% 185.81/30.23  | 
% 185.81/30.23  End of proof
% 185.81/30.23  
% 185.81/30.23  Sub-proof #785 shows that the following formulas are inconsistent:
% 185.81/30.23  ----------------------------------------------------------------
% 185.81/30.23    (1)  op(e1, e1) = e3
% 185.81/30.23    (2)  op(e2, e3) = e3
% 185.81/30.23    (3)   ~ (e1 = e0)
% 185.81/30.23    (4)   ~ (e3 = e0)
% 185.81/30.23    (5)   ~ (e2 = e0)
% 185.81/30.23    (6)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.23         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.81/30.23    (7)   ~ (e3 = e1)
% 185.81/30.23    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.23    (9)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.81/30.23         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.81/30.23    (10)  all_56_14 = e2 & op(e0, e1) = e2
% 185.81/30.23    (11)  op(e2, e0) = all_52_13
% 185.81/30.23    (12)   ~ (e3 = e2)
% 185.81/30.23    (13)  all_56_10 = e1
% 185.81/30.23    (14)  op(e3, e1) = all_52_8
% 185.81/30.23    (15)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.23          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.81/30.23    (16)   ~ (all_52_13 = e0)
% 185.81/30.23    (17)   ~ (e2 = e1)
% 185.81/30.23    (18)   ~ (all_52_8 = e1)
% 185.81/30.23    (19)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.81/30.23          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.81/30.23  
% 185.81/30.23  Begin of proof
% 185.81/30.23  | 
% 185.81/30.23  | ALPHA: (10) implies:
% 185.81/30.23  |   (20)  op(e0, e1) = e2
% 185.81/30.23  | 
% 185.81/30.23  | BETA: splitting (19) gives:
% 185.81/30.23  | 
% 185.81/30.23  | Case 1:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (21)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 185.81/30.23  | |           e1)
% 185.81/30.23  | | 
% 185.81/30.23  | | BETA: splitting (21) gives:
% 185.81/30.23  | | 
% 185.81/30.23  | | Case 1:
% 185.81/30.23  | | | 
% 185.81/30.23  | | |   (22)  all_56_4 = e1 & op(e3, e1) = e1
% 185.81/30.23  | | | 
% 185.81/30.23  | | | ALPHA: (22) implies:
% 185.81/30.23  | | |   (23)  op(e3, e1) = e1
% 185.81/30.23  | | | 
% 185.81/30.23  | | | REF_CLOSE: (8), (14), (18), (23) are inconsistent by sub-proof #1611.
% 185.81/30.23  | | | 
% 185.81/30.23  | | Case 2:
% 185.81/30.23  | | | 
% 185.81/30.23  | | |   (24)  all_56_5 = e1 & op(e2, e1) = e1
% 185.81/30.23  | | | 
% 185.81/30.23  | | | ALPHA: (24) implies:
% 185.81/30.23  | | |   (25)  all_56_5 = e1
% 185.81/30.23  | | |   (26)  op(e2, e1) = e1
% 185.81/30.23  | | | 
% 185.81/30.23  | | | BETA: splitting (6) gives:
% 185.81/30.23  | | | 
% 185.81/30.23  | | | Case 1:
% 185.81/30.23  | | | | 
% 185.81/30.23  | | | |   (27)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2)
% 185.81/30.23  | | | |           = e0)
% 185.81/30.23  | | | | 
% 185.81/30.23  | | | | BETA: splitting (27) gives:
% 185.81/30.23  | | | | 
% 185.81/30.23  | | | | Case 1:
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | |   (28)  all_56_2 = e0 & op(e2, e3) = e0
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | | ALPHA: (28) implies:
% 185.81/30.23  | | | | |   (29)  op(e2, e3) = e0
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | | REF_CLOSE: (2), (4), (8), (29) are inconsistent by sub-proof #1596.
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | Case 2:
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | |   (30)  all_56_3 = e0 & op(e2, e2) = e0
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | | ALPHA: (30) implies:
% 185.81/30.23  | | | | |   (31)  all_56_3 = e0
% 185.81/30.23  | | | | |   (32)  op(e2, e2) = e0
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (12), (13), (15), (17), (26),
% 185.81/30.23  | | | | |            (31), (32) are inconsistent by sub-proof #786.
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | End of split
% 185.81/30.23  | | | | 
% 185.81/30.23  | | | Case 2:
% 185.81/30.23  | | | | 
% 185.81/30.23  | | | |   (33)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0)
% 185.81/30.23  | | | |           = e0)
% 185.81/30.23  | | | | 
% 185.81/30.23  | | | | BETA: splitting (33) gives:
% 185.81/30.23  | | | | 
% 185.81/30.23  | | | | Case 1:
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | |   (34)  all_56_5 = e0 & op(e2, e1) = e0
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | | ALPHA: (34) implies:
% 185.81/30.23  | | | | |   (35)  all_56_5 = e0
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | | REF_CLOSE: (3), (25), (35) are inconsistent by sub-proof #981.
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | Case 2:
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | |   (36)  all_56_10 = e0 & op(e2, e0) = e0
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | | ALPHA: (36) implies:
% 185.81/30.23  | | | | |   (37)  op(e2, e0) = e0
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | | REF_CLOSE: (8), (11), (16), (37) are inconsistent by sub-proof #1504.
% 185.81/30.23  | | | | | 
% 185.81/30.23  | | | | End of split
% 185.81/30.23  | | | | 
% 185.81/30.23  | | | End of split
% 185.81/30.23  | | | 
% 185.81/30.23  | | End of split
% 185.81/30.23  | | 
% 185.81/30.23  | Case 2:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (38)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 185.81/30.23  | |           e1)
% 185.81/30.23  | | 
% 185.81/30.23  | | BETA: splitting (38) gives:
% 185.81/30.23  | | 
% 185.81/30.23  | | Case 1:
% 185.81/30.23  | | | 
% 185.81/30.23  | | |   (39)  all_56_8 = e1 & op(e1, e1) = e1
% 185.81/30.23  | | | 
% 185.81/30.23  | | | ALPHA: (39) implies:
% 185.81/30.23  | | |   (40)  op(e1, e1) = e1
% 185.81/30.23  | | | 
% 185.81/30.23  | | | REF_CLOSE: (1), (7), (8), (40) are inconsistent by sub-proof #1541.
% 185.81/30.23  | | | 
% 185.81/30.23  | | Case 2:
% 185.81/30.23  | | | 
% 185.81/30.23  | | |   (41)  all_56_14 = e1 & op(e0, e1) = e1
% 185.81/30.23  | | | 
% 185.81/30.23  | | | ALPHA: (41) implies:
% 185.81/30.23  | | |   (42)  op(e0, e1) = e1
% 185.81/30.23  | | | 
% 185.81/30.23  | | | REF_CLOSE: (8), (17), (20), (42) are inconsistent by sub-proof #862.
% 185.81/30.23  | | | 
% 185.81/30.23  | | End of split
% 185.81/30.23  | | 
% 185.81/30.23  | End of split
% 185.81/30.23  | 
% 185.81/30.23  End of proof
% 185.81/30.23  
% 185.81/30.23  Sub-proof #786 shows that the following formulas are inconsistent:
% 185.81/30.23  ----------------------------------------------------------------
% 185.81/30.23    (1)   ~ (e3 = e0)
% 185.81/30.23    (2)  op(e2, e1) = e1
% 185.81/30.23    (3)   ~ (e2 = e0)
% 185.81/30.23    (4)   ~ (e3 = e1)
% 185.81/30.23    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.23    (6)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.81/30.23         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.81/30.23    (7)  all_56_3 = e0
% 185.81/30.23    (8)   ~ (e3 = e2)
% 185.81/30.23    (9)  all_56_10 = e1
% 185.81/30.23    (10)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.23          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.81/30.23    (11)   ~ (e2 = e1)
% 185.81/30.23    (12)  op(e2, e2) = e0
% 185.81/30.23  
% 185.81/30.23  Begin of proof
% 185.81/30.23  | 
% 185.81/30.23  | BETA: splitting (6) gives:
% 185.81/30.23  | 
% 185.81/30.23  | Case 1:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (13)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 185.81/30.23  | |           e2)
% 185.81/30.23  | | 
% 185.81/30.23  | | BETA: splitting (13) gives:
% 185.81/30.23  | | 
% 185.81/30.23  | | Case 1:
% 185.81/30.23  | | | 
% 185.81/30.23  | | |   (14)  all_56_2 = e2 & op(e2, e3) = e2
% 185.81/30.23  | | | 
% 185.81/30.23  | | | ALPHA: (14) implies:
% 185.81/30.23  | | |   (15)  all_56_2 = e2
% 185.81/30.23  | | | 
% 185.81/30.23  | | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (15) are inconsistent
% 185.81/30.23  | | |            by sub-proof #787.
% 185.81/30.23  | | | 
% 185.81/30.23  | | Case 2:
% 185.81/30.23  | | | 
% 185.81/30.23  | | |   (16)  all_56_3 = e2 & op(e2, e2) = e2
% 185.81/30.23  | | | 
% 185.81/30.23  | | | ALPHA: (16) implies:
% 185.81/30.23  | | |   (17)  op(e2, e2) = e2
% 185.81/30.23  | | | 
% 185.81/30.23  | | | REF_CLOSE: (3), (5), (12), (17) are inconsistent by sub-proof #1586.
% 185.81/30.23  | | | 
% 185.81/30.23  | | End of split
% 185.81/30.23  | | 
% 185.81/30.23  | Case 2:
% 185.81/30.23  | | 
% 185.81/30.23  | |   (18)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 185.81/30.23  | |           e2)
% 185.81/30.23  | | 
% 185.81/30.23  | | BETA: splitting (18) gives:
% 185.81/30.23  | | 
% 185.81/30.23  | | Case 1:
% 185.81/30.23  | | | 
% 185.81/30.23  | | |   (19)  all_56_5 = e2 & op(e2, e1) = e2
% 185.81/30.23  | | | 
% 185.81/30.23  | | | ALPHA: (19) implies:
% 185.81/30.23  | | |   (20)  op(e2, e1) = e2
% 185.81/30.23  | | | 
% 185.81/30.23  | | | REF_CLOSE: (2), (5), (11), (20) are inconsistent by sub-proof #1148.
% 185.81/30.23  | | | 
% 185.81/30.23  | | Case 2:
% 185.81/30.23  | | | 
% 185.81/30.23  | | |   (21)  all_56_10 = e2 & op(e2, e0) = e2
% 185.81/30.23  | | | 
% 185.81/30.23  | | | REF_CLOSE: (9), (11), (21) are inconsistent by sub-proof #1002.
% 185.81/30.23  | | | 
% 185.81/30.23  | | End of split
% 185.81/30.23  | | 
% 185.81/30.23  | End of split
% 185.81/30.23  | 
% 185.81/30.23  End of proof
% 185.81/30.23  
% 185.81/30.23  Sub-proof #787 shows that the following formulas are inconsistent:
% 185.81/30.23  ----------------------------------------------------------------
% 185.81/30.23    (1)  all_56_2 = e2
% 185.81/30.23    (2)   ~ (e3 = e0)
% 185.81/30.23    (3)  op(e2, e1) = e1
% 185.81/30.23    (4)   ~ (e3 = e1)
% 185.81/30.23    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.23           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.23    (6)  all_56_3 = e0
% 185.81/30.23    (7)   ~ (e3 = e2)
% 185.81/30.23    (8)  all_56_10 = e1
% 185.81/30.24    (9)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.24         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.81/30.24  
% 185.81/30.24  Begin of proof
% 185.81/30.24  | 
% 185.81/30.24  | BETA: splitting (9) gives:
% 185.81/30.24  | 
% 185.81/30.24  | Case 1:
% 185.81/30.24  | | 
% 185.81/30.24  | |   (10)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 185.81/30.24  | |           e3)
% 185.81/30.24  | | 
% 185.81/30.24  | | BETA: splitting (10) gives:
% 185.81/30.24  | | 
% 185.81/30.24  | | Case 1:
% 185.81/30.24  | | | 
% 185.81/30.24  | | |   (11)  all_56_2 = e3 & op(e2, e3) = e3
% 185.81/30.24  | | | 
% 185.81/30.24  | | | ALPHA: (11) implies:
% 185.81/30.24  | | |   (12)  all_56_2 = e3
% 185.81/30.24  | | | 
% 185.81/30.24  | | | REF_CLOSE: (1), (7), (12) are inconsistent by sub-proof #1414.
% 185.81/30.24  | | | 
% 185.81/30.24  | | Case 2:
% 185.81/30.24  | | | 
% 185.81/30.24  | | |   (13)  all_56_3 = e3 & op(e2, e2) = e3
% 185.81/30.24  | | | 
% 185.81/30.24  | | | REF_CLOSE: (2), (6), (13) are inconsistent by sub-proof #788.
% 185.81/30.24  | | | 
% 185.81/30.24  | | End of split
% 185.81/30.24  | | 
% 185.81/30.24  | Case 2:
% 185.81/30.24  | | 
% 185.81/30.24  | |   (14)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.81/30.24  | |           e3)
% 185.81/30.24  | | 
% 185.81/30.24  | | BETA: splitting (14) gives:
% 185.81/30.24  | | 
% 185.81/30.24  | | Case 1:
% 185.81/30.24  | | | 
% 185.81/30.24  | | |   (15)  all_56_5 = e3 & op(e2, e1) = e3
% 185.81/30.24  | | | 
% 185.81/30.24  | | | ALPHA: (15) implies:
% 185.81/30.24  | | |   (16)  op(e2, e1) = e3
% 185.81/30.24  | | | 
% 185.81/30.24  | | | REF_CLOSE: (3), (4), (5), (16) are inconsistent by sub-proof #1456.
% 185.81/30.24  | | | 
% 185.81/30.24  | | Case 2:
% 185.81/30.24  | | | 
% 185.81/30.24  | | |   (17)  all_56_10 = e3 & op(e2, e0) = e3
% 185.81/30.24  | | | 
% 185.81/30.24  | | | REF_CLOSE: (4), (8), (17) are inconsistent by sub-proof #1141.
% 185.81/30.24  | | | 
% 185.81/30.24  | | End of split
% 185.81/30.24  | | 
% 185.81/30.24  | End of split
% 185.81/30.24  | 
% 185.81/30.24  End of proof
% 185.81/30.24  
% 185.81/30.24  Sub-proof #788 shows that the following formulas are inconsistent:
% 185.81/30.24  ----------------------------------------------------------------
% 185.81/30.24    (1)  all_56_3 = e3 & op(e2, e2) = e3
% 185.81/30.24    (2)  all_56_3 = e0
% 185.81/30.24    (3)   ~ (e3 = e0)
% 185.81/30.24  
% 185.81/30.24  Begin of proof
% 185.81/30.24  | 
% 185.81/30.24  | ALPHA: (1) implies:
% 185.81/30.24  |   (4)  all_56_3 = e3
% 185.81/30.24  | 
% 185.81/30.24  | COMBINE_EQS: (2), (4) imply:
% 185.81/30.24  |   (5)  e3 = e0
% 185.81/30.24  | 
% 185.81/30.24  | SIMP: (5) implies:
% 185.81/30.24  |   (6)  e3 = e0
% 185.81/30.24  | 
% 185.81/30.24  | REDUCE: (3), (6) imply:
% 185.81/30.24  |   (7)  $false
% 185.81/30.24  | 
% 185.81/30.24  | CLOSE: (7) is inconsistent.
% 185.81/30.24  | 
% 185.81/30.24  End of proof
% 185.81/30.24  
% 185.81/30.24  Sub-proof #789 shows that the following formulas are inconsistent:
% 185.81/30.24  ----------------------------------------------------------------
% 185.81/30.24    (1)  op(e0, e0) = all_6_2
% 185.81/30.24    (2)  all_56_9 = e2
% 185.81/30.24    (3)  op(e2, e1) = e2
% 185.81/30.24    (4)   ~ (all_6_2 = e1)
% 185.81/30.24    (5)   ~ (e1 = e0)
% 185.81/30.24    (6)  op(e1, e0) = all_52_14
% 185.81/30.24    (7)   ~ (e3 = e0)
% 185.81/30.24    (8)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.81/30.24         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.81/30.24    (9)   ~ (all_52_14 = e1)
% 185.81/30.24    (10)   ~ (e2 = e0)
% 185.81/30.24    (11)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.24          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.81/30.24    (12)   ~ (e3 = e1)
% 185.81/30.24    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.24            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.24    (14)  all_56_5 = e2
% 185.81/30.24    (15)   ~ (e3 = e2)
% 185.81/30.24    (16)  all_56_10 = e1
% 185.81/30.24    (17)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.24          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.81/30.24    (18)   ~ (e2 = e1)
% 185.81/30.24    (19)  op(e2, e2) = e2
% 185.81/30.24  
% 185.81/30.24  Begin of proof
% 185.81/30.24  | 
% 185.81/30.24  | BETA: splitting (11) gives:
% 185.81/30.24  | 
% 185.81/30.24  | Case 1:
% 185.81/30.24  | | 
% 185.81/30.24  | |   (20)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 185.81/30.24  | |           e0)
% 185.81/30.24  | | 
% 185.81/30.24  | | BETA: splitting (20) gives:
% 185.81/30.24  | | 
% 185.81/30.24  | | Case 1:
% 185.81/30.24  | | | 
% 185.81/30.24  | | |   (21)  all_56_2 = e0 & op(e2, e3) = e0
% 185.81/30.24  | | | 
% 185.81/30.24  | | | ALPHA: (21) implies:
% 185.81/30.24  | | |   (22)  op(e2, e3) = e0
% 185.81/30.24  | | | 
% 185.81/30.24  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (12), (13), (15), (17),
% 185.81/30.24  | | |            (18), (19), (22) are inconsistent by sub-proof #1212.
% 185.81/30.24  | | | 
% 185.81/30.24  | | Case 2:
% 185.81/30.24  | | | 
% 185.81/30.24  | | |   (23)  all_56_3 = e0 & op(e2, e2) = e0
% 185.81/30.24  | | | 
% 185.81/30.24  | | | ALPHA: (23) implies:
% 185.81/30.24  | | |   (24)  op(e2, e2) = e0
% 185.81/30.24  | | | 
% 185.81/30.24  | | | REF_CLOSE: (10), (13), (19), (24) are inconsistent by sub-proof #1586.
% 185.81/30.24  | | | 
% 185.81/30.24  | | End of split
% 185.81/30.24  | | 
% 185.81/30.24  | Case 2:
% 185.81/30.24  | | 
% 185.81/30.24  | |   (25)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 185.81/30.24  | |           e0)
% 185.81/30.24  | | 
% 185.81/30.24  | | BETA: splitting (25) gives:
% 185.81/30.24  | | 
% 185.81/30.24  | | Case 1:
% 185.81/30.24  | | | 
% 185.81/30.24  | | |   (26)  all_56_5 = e0 & op(e2, e1) = e0
% 185.81/30.24  | | | 
% 185.81/30.24  | | | ALPHA: (26) implies:
% 185.81/30.24  | | |   (27)  all_56_5 = e0
% 185.81/30.24  | | | 
% 185.81/30.24  | | | COMBINE_EQS: (14), (27) imply:
% 185.81/30.24  | | |   (28)  e2 = e0
% 185.81/30.24  | | | 
% 185.81/30.24  | | | REDUCE: (10), (28) imply:
% 185.81/30.24  | | |   (29)  $false
% 185.81/30.24  | | | 
% 185.81/30.24  | | | CLOSE: (29) is inconsistent.
% 185.81/30.24  | | | 
% 185.81/30.24  | | Case 2:
% 185.81/30.24  | | | 
% 185.81/30.24  | | |   (30)  all_56_10 = e0 & op(e2, e0) = e0
% 185.81/30.24  | | | 
% 185.81/30.24  | | | REF_CLOSE: (5), (16), (30) are inconsistent by sub-proof #1409.
% 185.81/30.24  | | | 
% 185.81/30.24  | | End of split
% 185.81/30.24  | | 
% 185.81/30.24  | End of split
% 185.81/30.24  | 
% 185.81/30.24  End of proof
% 185.81/30.24  
% 185.81/30.24  Sub-proof #790 shows that the following formulas are inconsistent:
% 185.81/30.24  ----------------------------------------------------------------
% 185.81/30.24    (1)  op(e0, e0) = all_6_2
% 185.81/30.24    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.81/30.24         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.81/30.24    (3)   ~ (all_52_8 = e3)
% 185.81/30.24    (4)  op(e0, e3) = e2
% 185.81/30.24    (5)   ~ (all_52_2 = e3)
% 185.81/30.24    (6)   ~ (all_6_2 = e1)
% 185.81/30.24    (7)   ~ (all_52_14 = e0)
% 185.81/30.24    (8)  op(e1, e1) = e3
% 185.81/30.24    (9)  op(e2, e3) = e3
% 185.81/30.24    (10)   ~ (e1 = e0)
% 185.81/30.24    (11)  op(e1, e3) = all_52_2
% 185.81/30.24    (12)  op(e1, e0) = all_52_14
% 185.81/30.24    (13)  all_56_4 = e2
% 185.81/30.24    (14)   ~ (e3 = e0)
% 185.81/30.24    (15)  op(e0, e1) = all_52_11
% 185.81/30.24    (16)  op(e2, e1) = all_52_9
% 185.81/30.24    (17)   ~ (all_52_14 = e1)
% 185.81/30.24    (18)   ~ (e2 = e0)
% 185.81/30.24    (19)   ~ (e3 = e1)
% 185.81/30.24    (20)   ~ (all_52_9 = all_52_13)
% 185.81/30.24    (21)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 185.81/30.24    (22)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 185.81/30.24    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.24            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.24    (24)  all_54_7 = all_52_13
% 185.81/30.24    (25)  all_57_18 = e0
% 185.81/30.24    (26)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 185.81/30.24              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 185.81/30.24            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.81/30.24              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.81/30.24            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 185.81/30.24            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 185.81/30.24            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 185.81/30.24            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 185.81/30.24            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 185.81/30.24            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.81/30.24              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 185.81/30.24              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.81/30.24            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.81/30.24          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 185.81/30.24              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 185.81/30.24            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.81/30.24              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.81/30.24            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 185.81/30.24            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.81/30.24            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 185.81/30.24            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.81/30.24            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.81/30.24              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.81/30.24              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 185.81/30.24            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 185.81/30.24            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.81/30.24            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 185.81/30.24            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 185.81/30.24            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 185.81/30.24            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 185.81/30.24            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.81/30.24            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 185.81/30.24            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 185.81/30.24            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 185.81/30.24              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 185.81/30.24            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 185.81/30.24            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 185.81/30.24              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 185.81/30.24            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 185.81/30.24            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 185.81/30.24            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 185.81/30.24            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.81/30.24            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.81/30.24              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 185.81/30.24              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 185.81/30.24            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 185.81/30.24            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 185.81/30.24              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 185.81/30.24            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 185.81/30.24            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.81/30.24            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 185.81/30.24            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 185.81/30.24            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 185.81/30.24                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 185.81/30.24                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 185.81/30.24                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.81/30.24                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 185.81/30.24                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.81/30.24                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.81/30.24                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.81/30.24                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.81/30.24                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.81/30.24                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.81/30.24                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 185.81/30.24                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.81/30.24                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 185.81/30.24                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 185.81/30.24                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 185.81/30.24                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 185.81/30.24    (27)  all_54_8 = all_52_2
% 185.81/30.24    (28)  all_54_11 = all_52_14
% 185.81/30.24    (29)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.81/30.24          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.81/30.24    (30)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.81/30.24          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.81/30.24            e1)
% 185.81/30.24    (31)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.24          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.81/30.24    (32)  op(e2, e0) = all_52_13
% 185.81/30.24    (33)   ~ (e3 = e2)
% 185.81/30.24    (34)   ~ (all_52_4 = e2)
% 185.81/30.24    (35)  op(e3, e3) = e1
% 185.81/30.24    (36)  op(e3, e1) = all_52_8
% 185.81/30.24    (37)  op(e3, e0) = e0
% 185.81/30.24    (38)  op(e3, e2) = all_52_4
% 185.81/30.24    (39)   ~ (all_52_14 = e3)
% 185.81/30.24    (40)   ~ (all_52_7 = e2)
% 185.81/30.24    (41)   ~ (all_52_13 = e2)
% 185.81/30.24    (42)   ~ (all_52_13 = e0)
% 185.81/30.24    (43)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.81/30.24    (44)  op(e0, e2) = all_52_7
% 185.81/30.24    (45)   ~ (all_52_2 = all_52_14)
% 185.81/30.24    (46)  op(e2, e2) = e2
% 185.81/30.24    (47)   ~ (all_52_8 = e1)
% 185.81/30.24    (48)   ~ (all_52_2 = e1)
% 185.81/30.24  
% 185.81/30.24  Begin of proof
% 185.81/30.24  | 
% 185.81/30.24  | BETA: splitting (22) gives:
% 185.81/30.24  | 
% 185.81/30.24  | Case 1:
% 185.81/30.24  | | 
% 185.81/30.24  | |   (49)  all_54_11 = e3
% 185.81/30.24  | | 
% 185.81/30.24  | | REF_CLOSE: (28), (39), (49) are inconsistent by sub-proof #1336.
% 185.81/30.24  | | 
% 185.81/30.24  | Case 2:
% 185.81/30.24  | | 
% 185.81/30.24  | |   (50)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 185.81/30.24  | | 
% 185.81/30.24  | | BETA: splitting (26) gives:
% 185.81/30.24  | | 
% 185.81/30.24  | | Case 1:
% 185.81/30.24  | | | 
% 185.81/30.24  | | |   (51)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~
% 185.81/30.24  | | |           (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~
% 185.81/30.24  | | |           (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.81/30.24  | | |             all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.81/30.24  | | |             e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) = all_57_17 &
% 185.81/30.24  | | |           op(e3, e0) = all_57_18 & op(e2, e3) = e3 & $i(all_57_0) &
% 185.81/30.24  | | |           $i(all_57_2) & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.81/30.24  | | |           $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3 &
% 185.81/30.24  | | |           all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 185.81/30.24  | | |           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.81/30.24  | | |           all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) =
% 185.81/30.24  | | |           all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.81/30.24  | | |           op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.81/30.24  | | |           $i(all_57_0) & $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 185.81/30.24  | | |           $i(all_57_18) & $i(all_57_28)) | (all_57_3 = all_57_28 &
% 185.81/30.24  | | |           all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 = e3) &  ~
% 185.81/30.24  | | |           (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.81/30.24  | | |           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 &
% 185.81/30.24  | | |           op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3,
% 185.81/30.24  | | |             e2) = all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.81/30.24  | | |           op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 185.81/30.24  | | |           $i(all_57_16) & $i(all_57_17) & $i(all_57_28)) | (all_57_4 =
% 185.81/30.24  | | |           all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 = e2)
% 185.81/30.24  | | |           &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e3)
% 185.81/30.24  | | |           & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.81/30.24  | | |             all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.81/30.24  | | |             e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 185.81/30.24  | | |           op(e2, e0) = all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 185.81/30.24  | | |           $i(all_57_7) & $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.81/30.24  | | | 
% 185.81/30.24  | | | BETA: splitting (51) gives:
% 185.81/30.24  | | | 
% 185.81/30.24  | | | Case 1:
% 185.81/30.24  | | | | 
% 185.81/30.24  | | | |   (52)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~
% 185.81/30.24  | | | |           (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~
% 185.81/30.24  | | | |           (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.81/30.24  | | | |             all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.81/30.24  | | | |           op(e3, e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 185.81/30.24  | | | |           all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 185.81/30.24  | | | |           $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 185.81/30.24  | | | |           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.81/30.24  | | | |           all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~
% 185.81/30.24  | | | |           (all_57_1 = e2) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) &
% 185.81/30.24  | | | |           op(e3, all_57_16) = all_57_1 & op(e3, all_57_18) = all_57_3 &
% 185.81/30.24  | | | |           op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3,
% 185.81/30.24  | | | |             e2) = all_57_16 & op(e3, e1) = e3 & op(e3, e0) = all_57_18 &
% 185.81/30.24  | | | |           op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.81/30.24  | | | |           $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 185.81/30.24  | | | | 
% 185.81/30.24  | | | | BETA: splitting (52) gives:
% 185.81/30.24  | | | | 
% 185.81/30.24  | | | | Case 1:
% 185.81/30.24  | | | | | 
% 185.81/30.24  | | | | |   (53)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~
% 185.81/30.24  | | | | |         (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~
% 185.81/30.24  | | | | |         (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.81/30.24  | | | | |           all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.81/30.24  | | | | |         op(e3, e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 185.81/30.24  | | | | |         all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 185.81/30.24  | | | | |         $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 185.81/30.24  | | | | |         $i(all_57_18) & $i(all_57_28)
% 185.81/30.24  | | | | | 
% 185.81/30.24  | | | | | ALPHA: (53) implies:
% 185.81/30.24  | | | | |   (54)   ~ (all_57_3 = e0)
% 185.81/30.24  | | | | |   (55)  op(e3, e0) = all_57_18
% 185.81/30.24  | | | | |   (56)  op(e3, all_57_18) = all_57_3
% 185.81/30.24  | | | | | 
% 185.81/30.24  | | | | | REF_CLOSE: (23), (25), (54), (55), (56) are inconsistent by sub-proof
% 185.81/30.24  | | | | |            #796.
% 185.81/30.24  | | | | | 
% 185.81/30.24  | | | | Case 2:
% 185.81/30.24  | | | | | 
% 185.81/30.24  | | | | |   (57)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 = e3 &  ~
% 185.81/30.24  | | | | |         (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0) &  ~
% 185.81/30.24  | | | | |         (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 & op(e3,
% 185.81/30.24  | | | | |           all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.81/30.24  | | | | |         op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) =
% 185.81/30.24  | | | | |         e3 & op(e3, e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) &
% 185.81/30.24  | | | | |         $i(all_57_1) & $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 185.81/30.24  | | | | |         $i(all_57_28)
% 185.81/30.24  | | | | | 
% 185.81/30.24  | | | | | ALPHA: (57) implies:
% 185.81/30.24  | | | | |   (58)  op(e3, e1) = e3
% 185.81/30.24  | | | | | 
% 185.81/30.24  | | | | | REF_CLOSE: (3), (23), (36), (58) are inconsistent by sub-proof #1346.
% 185.81/30.24  | | | | | 
% 185.81/30.24  | | | | End of split
% 185.81/30.24  | | | | 
% 185.81/30.24  | | | Case 2:
% 185.81/30.24  | | | | 
% 185.81/30.24  | | | |   (59)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~
% 185.81/30.24  | | | |           (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~
% 185.81/30.24  | | | |           (all_57_28 = e0) & op(e3, all_57_16) = all_57_1 & op(e3,
% 185.81/30.24  | | | |             all_57_17) = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.81/30.24  | | | |           op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) =
% 185.81/30.24  | | | |           all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3 & $i(all_57_0) &
% 185.81/30.24  | | | |           $i(all_57_1) & $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.81/30.24  | | | |           $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2 &
% 185.81/30.24  | | | |           all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.81/30.24  | | | |           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 &
% 185.81/30.24  | | | |           op(e2, all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 &
% 185.81/30.24  | | | |           op(e2, all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 185.81/30.24  | | | |           all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 &
% 185.81/30.24  | | | |           $i(all_57_5) & $i(all_57_6) & $i(all_57_7) & $i(all_57_20) &
% 185.81/30.24  | | | |           $i(all_57_21) & $i(all_57_29))
% 185.81/30.24  | | | | 
% 185.81/30.24  | | | | REF_CLOSE: (4), (23), (33), (34), (38), (59) are inconsistent by
% 185.81/30.24  | | | |            sub-proof #876.
% 185.81/30.24  | | | | 
% 185.81/30.24  | | | End of split
% 185.81/30.24  | | | 
% 185.81/30.24  | | Case 2:
% 185.81/30.24  | | | 
% 185.81/30.24  | | |   (60)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~
% 185.81/30.24  | | |           (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 185.81/30.24  | | |           (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2,
% 185.81/30.24  | | |             all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.81/30.24  | | |             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = e2 &
% 185.81/30.24  | | |           op(e2, e0) = all_57_21 & op(e1, e2) = e2 & $i(all_57_4) &
% 185.81/30.24  | | |           $i(all_57_5) & $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.81/30.24  | | |           $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2 &
% 185.81/30.24  | | |           all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 185.81/30.24  | | |           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.81/30.24  | | |           all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 185.81/30.24  | | |           all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 185.81/30.24  | | |           op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.81/30.24  | | |           $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_19) &
% 185.81/30.24  | | |           $i(all_57_20) & $i(all_57_29)) | (all_57_8 = all_57_30 &
% 185.81/30.24  | | |           all_57_17 = e1 & all_57_22 = e1 &  ~ (all_57_9 = e2) &  ~
% 185.81/30.24  | | |           (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.81/30.24  | | |           op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.81/30.24  | | |             all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 185.81/30.24  | | |           op(e1, e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) =
% 185.81/30.24  | | |           all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.81/30.24  | | |           $i(all_57_10) & $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 185.81/30.24  | | |           $i(all_57_30)) | (all_57_9 = all_57_30 & all_57_20 = e1 &
% 185.81/30.24  | | |           all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.81/30.24  | | |           (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1 &
% 185.81/30.24  | | |           op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 185.81/30.24  | | |           op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 185.81/30.24  | | |             e2) = e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 &
% 185.81/30.24  | | |           $i(all_57_8) & $i(all_57_10) & $i(all_57_11) & $i(all_57_22) &
% 185.81/30.24  | | |           $i(all_57_24) & $i(all_57_30)) | (op(e0, e1) = all_57_27 &
% 185.81/30.24  | | |           $i(all_57_27) & ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.81/30.24  | | |               all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 185.81/30.24  | | |               ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1, all_57_22)
% 185.81/30.24  | | |               = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.81/30.24  | | |                 all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 185.81/30.24  | | |                 e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1
% 185.81/30.24  | | |               & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.81/30.24  | | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~
% 185.81/30.24  | | |               (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1)
% 185.81/30.24  | | |               &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 &
% 185.81/30.24  | | |               op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) =
% 185.81/30.24  | | |               all_57_14 & op(e0, all_57_31) = all_57_15 & op(e0, e3) =
% 185.81/30.24  | | |               all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 185.81/30.24  | | |               & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.81/30.24  | | |               $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 185.81/30.24  | | |               $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 &
% 185.81/30.24  | | |                   all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.81/30.24  | | |                   all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 185.81/30.24  | | |                   all_57_27 = e0 & op(e1, e0) = e0)))))
% 185.81/30.24  | | | 
% 185.81/30.24  | | | BETA: splitting (60) gives:
% 185.81/30.24  | | | 
% 185.81/30.24  | | | Case 1:
% 185.81/30.24  | | | | 
% 185.81/30.24  | | | |   (61)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~
% 185.81/30.24  | | | |           (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 185.81/30.24  | | | |           (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2,
% 185.81/30.24  | | | |             all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.81/30.24  | | | |           op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.81/30.24  | | | |           e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2 & $i(all_57_4) &
% 185.81/30.24  | | | |           $i(all_57_5) & $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.81/30.24  | | | |           $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2 &
% 185.81/30.24  | | | |           all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 185.81/30.24  | | | |           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.81/30.24  | | | |           all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 185.81/30.24  | | | |           all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 185.81/30.24  | | | |           op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.81/30.24  | | | |           $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_19) &
% 185.81/30.24  | | | |           $i(all_57_20) & $i(all_57_29))
% 185.81/30.24  | | | | 
% 185.81/30.24  | | | | REF_CLOSE: (9), (23), (40), (44), (61) are inconsistent by sub-proof
% 185.81/30.24  | | | |            #830.
% 185.81/30.24  | | | | 
% 185.81/30.24  | | | Case 2:
% 185.81/30.24  | | | | 
% 185.81/30.24  | | | |   (62)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 = e1 &  ~
% 185.81/30.24  | | | |           (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 185.81/30.24  | | | |           ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) =
% 185.81/30.24  | | | |           all_57_9 & op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.81/30.24  | | | |           all_57_10 & op(e1, e3) = e1 & op(e1, e2) = all_57_23 & op(e1,
% 185.81/30.24  | | | |             e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.81/30.24  | | | |           $i(all_57_10) & $i(all_57_11) & $i(all_57_23) & $i(all_57_24)
% 185.81/30.24  | | | |           & $i(all_57_30)) | (all_57_9 = all_57_30 & all_57_20 = e1 &
% 185.81/30.24  | | | |           all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.81/30.24  | | | |           (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1 &
% 185.81/30.24  | | | |           op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 185.81/30.24  | | | |           op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 185.81/30.24  | | | |           op(e1, e2) = e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.81/30.24  | | | |           all_57_24 & $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.81/30.24  | | | |           $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) | (op(e0, e1) =
% 185.81/30.24  | | | |           all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 185.81/30.24  | | | |               all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.81/30.24  | | | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 =
% 185.81/30.24  | | | |                 e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) =
% 185.81/30.24  | | | |               all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.81/30.24  | | | |               all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1) =
% 185.81/30.24  | | | |               all_57_30 & op(e1, e0) = e1 & $i(all_57_8) & $i(all_57_9)
% 185.81/30.24  | | | |               & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 185.81/30.24  | | | |               $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 =
% 185.81/30.24  | | | |                 e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 185.81/30.24  | | | |                 all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.81/30.24  | | | |               op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 185.81/30.24  | | | |               all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 185.81/30.24  | | | |               all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) &
% 185.81/30.24  | | | |               $i(all_57_13) & $i(all_57_14) & $i(all_57_15) &
% 185.81/30.24  | | | |               $i(all_57_25) & $i(all_57_26) & $i(all_57_31) & (all_57_31
% 185.81/30.24  | | | |                 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 185.81/30.24  | | | |                   e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 185.81/30.24  | | | |                   e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) =
% 185.81/30.24  | | | |                   e0)))))
% 185.81/30.24  | | | | 
% 185.81/30.24  | | | | BETA: splitting (62) gives:
% 185.81/30.24  | | | | 
% 185.81/30.24  | | | | Case 1:
% 185.81/30.24  | | | | | 
% 185.81/30.24  | | | | |   (63)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 = e1 &  ~
% 185.81/30.24  | | | | |         (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 185.81/30.24  | | | | |         ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) =
% 185.81/30.24  | | | | |         all_57_9 & op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.81/30.24  | | | | |         all_57_10 & op(e1, e3) = e1 & op(e1, e2) = all_57_23 & op(e1,
% 185.81/30.24  | | | | |           e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.81/30.24  | | | | |         $i(all_57_10) & $i(all_57_11) & $i(all_57_23) & $i(all_57_24)
% 185.81/30.24  | | | | |         & $i(all_57_30)
% 185.81/30.24  | | | | | 
% 185.81/30.24  | | | | | ALPHA: (63) implies:
% 185.81/30.24  | | | | |   (64)  op(e3, e1) = e1
% 185.81/30.24  | | | | | 
% 185.81/30.24  | | | | | REF_CLOSE: (23), (36), (47), (64) are inconsistent by sub-proof #1611.
% 185.81/30.24  | | | | | 
% 185.81/30.24  | | | | Case 2:
% 185.81/30.24  | | | | | 
% 185.81/30.24  | | | | |   (65)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.81/30.24  | | | | |           (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0)
% 185.81/30.24  | | | | |           &  ~ (all_57_30 = e2) & op(e2, e1) = e1 & op(e1, all_57_22)
% 185.81/30.24  | | | | |           = all_57_8 & op(e1, all_57_24) = all_57_11 & op(e1,
% 185.81/30.24  | | | | |             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 185.81/30.24  | | | | |             e2) = e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24
% 185.81/30.24  | | | | |           & $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.81/30.24  | | | | |           $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) | (op(e0, e1)
% 185.81/30.24  | | | | |           = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 185.81/30.24  | | | | |               all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) & 
% 185.81/30.24  | | | | |               ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30
% 185.81/30.24  | | | | |                 = e0) & op(e1, all_57_22) = all_57_8 & op(e1,
% 185.81/30.24  | | | | |                 all_57_23) = all_57_9 & op(e1, all_57_30) = all_57_10
% 185.81/30.24  | | | | |               & op(e1, e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 185.81/30.24  | | | | |               op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8)
% 185.81/30.24  | | | | |               & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.81/30.24  | | | | |               $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) & 
% 185.81/30.24  | | | | |               ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15
% 185.81/30.24  | | | | |                 = e0) & op(e0, all_57_25) = all_57_12 & op(e0,
% 185.81/30.24  | | | | |                 all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14
% 185.81/30.24  | | | | |               & op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 185.81/30.24  | | | | |               & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31 &
% 185.81/30.24  | | | | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.81/30.24  | | | | |               $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 185.81/30.24  | | | | |               $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 &
% 185.81/30.24  | | | | |                   all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 = e0
% 185.81/30.24  | | | | |                   & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 =
% 185.81/30.24  | | | | |                   e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 185.81/30.24  | | | | | 
% 185.81/30.24  | | | | | BETA: splitting (65) gives:
% 185.81/30.24  | | | | | 
% 185.81/30.24  | | | | | Case 1:
% 185.81/30.24  | | | | | | 
% 185.81/30.24  | | | | | |   (66)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.81/30.24  | | | | | |         (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0)
% 185.81/30.24  | | | | | |         &  ~ (all_57_30 = e2) & op(e2, e1) = e1 & op(e1, all_57_22)
% 185.81/30.24  | | | | | |         = all_57_8 & op(e1, all_57_24) = all_57_11 & op(e1,
% 185.81/30.24  | | | | | |           all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 185.81/30.24  | | | | | |           e2) = e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24
% 185.81/30.24  | | | | | |         & $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.81/30.24  | | | | | |         $i(all_57_22) & $i(all_57_24) & $i(all_57_30)
% 185.81/30.24  | | | | | | 
% 185.81/30.24  | | | | | | REF_CLOSE: (16), (20), (23), (24), (41), (42), (43), (66) are
% 185.81/30.24  | | | | | |            inconsistent by sub-proof #793.
% 185.81/30.24  | | | | | | 
% 185.81/30.24  | | | | | Case 2:
% 185.81/30.24  | | | | | | 
% 185.81/30.24  | | | | | |   (67)  op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 =
% 185.81/30.24  | | | | | |             all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 185.81/30.24  | | | | | |             (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 =
% 185.81/30.24  | | | | | |               e1) &  ~ (all_57_30 = e0) & op(e1, all_57_22) =
% 185.81/30.24  | | | | | |             all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.81/30.24  | | | | | |               all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 185.81/30.24  | | | | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 185.81/30.24  | | | | | |               e0) = e1 & $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.81/30.24  | | | | | |             & $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~
% 185.81/30.24  | | | | | |             (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 185.81/30.24  | | | | | |               e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) =
% 185.81/30.24  | | | | | |             all_57_12 & op(e0, all_57_26) = all_57_13 & op(e0,
% 185.81/30.24  | | | | | |               all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15
% 185.81/30.24  | | | | | |             & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 &
% 185.81/30.24  | | | | | |             op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 185.81/30.24  | | | | | |             $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 185.81/30.24  | | | | | |             $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0 |
% 185.81/30.24  | | | | | |               (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 185.81/30.24  | | | | | |               (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 185.81/30.24  | | | | | |               (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))))
% 185.81/30.24  | | | | | | 
% 185.81/30.24  | | | | | | ALPHA: (67) implies:
% 185.81/30.24  | | | | | |   (68)  op(e0, e1) = all_57_27
% 185.81/30.24  | | | | | |   (69)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 & 
% 185.81/30.24  | | | | | |           ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 =
% 185.81/30.24  | | | | | |             e1) &  ~ (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 185.81/30.24  | | | | | |           & op(e1, all_57_23) = all_57_9 & op(e1, all_57_30) =
% 185.81/30.24  | | | | | |           all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.81/30.24  | | | | | |           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.81/30.24  | | | | | |           $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.81/30.24  | | | | | |           $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~
% 185.81/30.24  | | | | | |           (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 185.81/30.24  | | | | | |             e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) =
% 185.81/30.24  | | | | | |           all_57_12 & op(e0, all_57_26) = all_57_13 & op(e0,
% 185.81/30.24  | | | | | |             all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.81/30.24  | | | | | |           op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.81/30.24  | | | | | |             e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 185.81/30.24  | | | | | |           $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 185.81/30.24  | | | | | |           $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0 |
% 185.81/30.24  | | | | | |             (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 185.81/30.24  | | | | | |             (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 185.81/30.24  | | | | | |             (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 185.81/30.24  | | | | | | 
% 185.81/30.24  | | | | | | BETA: splitting (69) gives:
% 185.81/30.24  | | | | | | 
% 185.81/30.24  | | | | | | Case 1:
% 185.81/30.24  | | | | | | | 
% 185.81/30.24  | | | | | | |   (70)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 & 
% 185.81/30.24  | | | | | | |         ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 =
% 185.81/30.24  | | | | | | |           e1) &  ~ (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 185.81/30.24  | | | | | | |         & op(e1, all_57_23) = all_57_9 & op(e1, all_57_30) =
% 185.81/30.24  | | | | | | |         all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.81/30.24  | | | | | | |         all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.81/30.24  | | | | | | |         $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.81/30.24  | | | | | | |         $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 185.81/30.24  | | | | | | | 
% 185.81/30.24  | | | | | | | ALPHA: (70) implies:
% 185.81/30.24  | | | | | | |   (71)  op(e1, e0) = e1
% 185.81/30.24  | | | | | | | 
% 185.81/30.24  | | | | | | | REF_CLOSE: (12), (17), (23), (71) are inconsistent by sub-proof
% 185.81/30.24  | | | | | | |            #1609.
% 185.81/30.24  | | | | | | | 
% 185.81/30.24  | | | | | | Case 2:
% 185.81/30.24  | | | | | | | 
% 185.81/30.24  | | | | | | |   (72)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14
% 185.81/30.24  | | | | | | |           = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) =
% 185.81/30.24  | | | | | | |         all_57_12 & op(e0, all_57_26) = all_57_13 & op(e0,
% 185.81/30.24  | | | | | | |           all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.81/30.24  | | | | | | |         op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.81/30.24  | | | | | | |           e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 185.81/30.24  | | | | | | |         $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 185.81/30.24  | | | | | | |         $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0 |
% 185.81/30.24  | | | | | | |           (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 185.81/30.24  | | | | | | |           (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 185.81/30.24  | | | | | | |           (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 185.81/30.24  | | | | | | | 
% 185.81/30.24  | | | | | | | ALPHA: (72) implies:
% 185.81/30.24  | | | | | | |   (73)   ~ (all_57_14 = e1)
% 185.81/30.24  | | | | | | |   (74)  op(e0, all_57_27) = all_57_14
% 185.81/30.24  | | | | | | | 
% 185.81/30.24  | | | | | | | BETA: splitting (2) gives:
% 185.81/30.24  | | | | | | | 
% 185.81/30.24  | | | | | | | Case 1:
% 185.81/30.24  | | | | | | | | 
% 185.81/30.24  | | | | | | | |   (75)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 &
% 185.81/30.24  | | | | | | | |           op(e1, e2) = e1)
% 185.81/30.24  | | | | | | | | 
% 185.81/30.24  | | | | | | | | BETA: splitting (75) gives:
% 185.81/30.24  | | | | | | | | 
% 185.81/30.24  | | | | | | | | Case 1:
% 185.81/30.24  | | | | | | | | | 
% 185.81/30.25  | | | | | | | | |   (76)  all_56_6 = e1 & op(e1, e3) = e1
% 185.81/30.25  | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | ALPHA: (76) implies:
% 185.81/30.25  | | | | | | | | |   (77)  op(e1, e3) = e1
% 185.81/30.25  | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | REF_CLOSE: (11), (23), (48), (77) are inconsistent by
% 185.81/30.25  | | | | | | | | |            sub-proof #1597.
% 185.81/30.25  | | | | | | | | | 
% 185.81/30.25  | | | | | | | | Case 2:
% 185.81/30.25  | | | | | | | | | 
% 185.81/30.25  | | | | | | | | |   (78)  all_56_7 = e1 & op(e1, e2) = e1
% 185.81/30.25  | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | ALPHA: (78) implies:
% 185.81/30.25  | | | | | | | | |   (79)  op(e1, e2) = e1
% 185.81/30.25  | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | BETA: splitting (31) gives:
% 185.81/30.25  | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | Case 1:
% 185.81/30.25  | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | |   (80)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 &
% 185.81/30.25  | | | | | | | | | |           op(e2, e2) = e0)
% 185.81/30.25  | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | REF_CLOSE: (13), (14), (18), (19), (23), (29), (33), (35),
% 185.81/30.25  | | | | | | | | | |            (37), (46), (80) are inconsistent by sub-proof
% 185.81/30.25  | | | | | | | | | |            #1048.
% 185.81/30.25  | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | Case 2:
% 185.81/30.25  | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | |   (81)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0
% 185.81/30.25  | | | | | | | | | |           & op(e0, e2) = e0)
% 185.81/30.25  | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | BETA: splitting (81) gives:
% 185.81/30.25  | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | Case 1:
% 185.81/30.25  | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | |   (82)  all_56_7 = e0 & op(e1, e2) = e0
% 185.81/30.25  | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | ALPHA: (82) implies:
% 185.81/30.25  | | | | | | | | | | |   (83)  op(e1, e2) = e0
% 185.81/30.25  | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | REF_CLOSE: (10), (23), (79), (83) are inconsistent by
% 185.81/30.25  | | | | | | | | | | |            sub-proof #863.
% 185.81/30.25  | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | Case 2:
% 185.81/30.25  | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | |   (84)  all_56_13 = e0 & op(e0, e2) = e0
% 185.81/30.25  | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | ALPHA: (84) implies:
% 185.81/30.25  | | | | | | | | | | |   (85)  all_56_13 = e0
% 185.81/30.25  | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | BETA: splitting (50) gives:
% 185.81/30.25  | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | Case 1:
% 185.81/30.25  | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | |   (86)  all_54_11 = e2
% 185.81/30.25  | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | COMBINE_EQS: (28), (86) imply:
% 185.81/30.25  | | | | | | | | | | | |   (87)  all_52_14 = e2
% 185.81/30.25  | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | SIMP: (87) implies:
% 185.81/30.25  | | | | | | | | | | | |   (88)  all_52_14 = e2
% 185.81/30.25  | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | REDUCE: (45), (88) imply:
% 185.81/30.25  | | | | | | | | | | | |   (89)   ~ (all_52_2 = e2)
% 185.81/30.25  | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | BETA: splitting (21) gives:
% 185.81/30.25  | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | Case 1:
% 185.81/30.25  | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | |   (90)  all_54_8 = e3
% 185.81/30.25  | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | REF_CLOSE: (5), (27), (90) are inconsistent by sub-proof
% 185.81/30.25  | | | | | | | | | | | | |            #1243.
% 185.81/30.25  | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | Case 2:
% 185.81/30.25  | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | |   (91)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 185.81/30.25  | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | BETA: splitting (91) gives:
% 185.81/30.25  | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | Case 1:
% 185.81/30.25  | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | |   (92)  all_54_8 = e2
% 185.81/30.25  | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | REF_CLOSE: (27), (89), (92) are inconsistent by sub-proof
% 185.81/30.25  | | | | | | | | | | | | | |            #1240.
% 185.81/30.25  | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | Case 2:
% 185.81/30.25  | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | |   (93)  all_54_8 = e1 | all_54_8 = e0
% 185.81/30.25  | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | BETA: splitting (30) gives:
% 185.81/30.25  | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | Case 1:
% 185.81/30.25  | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | |   (94)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 185.81/30.25  | | | | | | | | | | | | | | |           e1 & op(e0, e2) = e1)
% 185.81/30.25  | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 185.81/30.25  | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | Case 1:
% 185.81/30.25  | | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | |   (95)  all_56_12 = e1 & op(e0, e3) = e1
% 185.81/30.25  | | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | | ALPHA: (95) implies:
% 185.81/30.25  | | | | | | | | | | | | | | | |   (96)  op(e0, e3) = e1
% 185.81/30.25  | | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | | REF_CLOSE: (12), (17), (23), (27), (32), (42), (45), (48),
% 185.81/30.25  | | | | | | | | | | | | | | | |            (69), (93), (96) are inconsistent by sub-proof
% 185.81/30.25  | | | | | | | | | | | | | | | |            #792.
% 185.81/30.25  | | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | Case 2:
% 185.81/30.25  | | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | |   (97)  all_56_13 = e1 & op(e0, e2) = e1
% 185.81/30.25  | | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | | ALPHA: (97) implies:
% 185.81/30.25  | | | | | | | | | | | | | | | |   (98)  all_56_13 = e1
% 185.81/30.25  | | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | | REF_CLOSE: (10), (85), (98) are inconsistent by sub-proof
% 185.81/30.25  | | | | | | | | | | | | | | | |            #1427.
% 185.81/30.25  | | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | End of split
% 185.81/30.25  | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | Case 2:
% 185.81/30.25  | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | |   (99)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.81/30.25  | | | | | | | | | | | | | | |           e1 & op(e0, e0) = e1)
% 185.81/30.25  | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 185.81/30.25  | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | Case 1:
% 185.81/30.25  | | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | |   (100)  all_56_14 = e1 & op(e0, e1) = e1
% 185.81/30.25  | | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | | ALPHA: (100) implies:
% 185.81/30.25  | | | | | | | | | | | | | | | |   (101)  op(e0, e1) = e1
% 185.81/30.25  | | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15), (17), (23), (28), (50), (68), (73),
% 185.81/30.25  | | | | | | | | | | | | | | | |            (74), (101) are inconsistent by sub-proof #1036.
% 185.81/30.25  | | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | Case 2:
% 185.81/30.25  | | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | |   (102)  all_56_15 = e1 & op(e0, e0) = e1
% 185.81/30.25  | | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | | ALPHA: (102) implies:
% 185.81/30.25  | | | | | | | | | | | | | | | |   (103)  op(e0, e0) = e1
% 185.81/30.25  | | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | | REF_CLOSE: (1), (6), (23), (103) are inconsistent by
% 185.81/30.25  | | | | | | | | | | | | | | | |            sub-proof #1516.
% 185.81/30.25  | | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | | End of split
% 185.81/30.25  | | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | | End of split
% 185.81/30.25  | | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | | End of split
% 185.81/30.25  | | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | End of split
% 185.81/30.25  | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | Case 2:
% 185.81/30.25  | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | |   (104)  all_54_11 = e1 | all_54_11 = e0
% 185.81/30.25  | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | | REF_CLOSE: (7), (17), (28), (104) are inconsistent by
% 185.81/30.25  | | | | | | | | | | | |            sub-proof #1113.
% 185.81/30.25  | | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | | End of split
% 185.81/30.25  | | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | | End of split
% 185.81/30.25  | | | | | | | | | | 
% 185.81/30.25  | | | | | | | | | End of split
% 185.81/30.25  | | | | | | | | | 
% 185.81/30.25  | | | | | | | | End of split
% 185.81/30.25  | | | | | | | | 
% 185.81/30.25  | | | | | | | Case 2:
% 185.81/30.25  | | | | | | | | 
% 185.81/30.25  | | | | | | | |   (105)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 &
% 185.81/30.25  | | | | | | | |            op(e1, e0) = e1)
% 185.81/30.25  | | | | | | | | 
% 185.81/30.25  | | | | | | | | REF_CLOSE: (8), (12), (17), (19), (23), (105) are inconsistent
% 185.81/30.25  | | | | | | | |            by sub-proof #791.
% 185.81/30.25  | | | | | | | | 
% 185.81/30.25  | | | | | | | End of split
% 185.81/30.25  | | | | | | | 
% 185.81/30.25  | | | | | | End of split
% 185.81/30.25  | | | | | | 
% 185.81/30.25  | | | | | End of split
% 185.81/30.25  | | | | | 
% 185.81/30.25  | | | | End of split
% 185.81/30.25  | | | | 
% 185.81/30.25  | | | End of split
% 185.81/30.25  | | | 
% 185.81/30.25  | | End of split
% 185.81/30.25  | | 
% 185.81/30.25  | End of split
% 185.81/30.25  | 
% 185.81/30.25  End of proof
% 185.81/30.25  
% 185.81/30.25  Sub-proof #791 shows that the following formulas are inconsistent:
% 185.81/30.25  ----------------------------------------------------------------
% 185.81/30.25    (1)  op(e1, e1) = e3
% 185.81/30.25    (2)  op(e1, e0) = all_52_14
% 185.81/30.25    (3)   ~ (all_52_14 = e1)
% 185.81/30.25    (4)   ~ (e3 = e1)
% 185.81/30.25    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.25    (6)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.81/30.25  
% 185.81/30.25  Begin of proof
% 185.81/30.25  | 
% 185.81/30.25  | BETA: splitting (6) gives:
% 185.81/30.25  | 
% 185.81/30.25  | Case 1:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 185.81/30.25  | | 
% 185.81/30.25  | | ALPHA: (7) implies:
% 185.81/30.25  | |   (8)  op(e1, e1) = e1
% 185.81/30.25  | | 
% 185.81/30.25  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1541.
% 185.81/30.25  | | 
% 185.81/30.25  | Case 2:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (9)  all_56_11 = e1 & op(e1, e0) = e1
% 185.81/30.25  | | 
% 185.81/30.25  | | ALPHA: (9) implies:
% 185.81/30.25  | |   (10)  op(e1, e0) = e1
% 185.81/30.25  | | 
% 185.81/30.25  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1609.
% 185.81/30.25  | | 
% 185.81/30.25  | End of split
% 185.81/30.25  | 
% 185.81/30.25  End of proof
% 185.81/30.25  
% 185.81/30.25  Sub-proof #792 shows that the following formulas are inconsistent:
% 185.81/30.25  ----------------------------------------------------------------
% 185.81/30.25    (1)  op(e1, e0) = all_52_14
% 185.81/30.25    (2)  op(e0, e3) = e1
% 185.81/30.25    (3)   ~ (all_52_14 = e1)
% 185.81/30.25    (4)  all_54_8 = e1 | all_54_8 = e0
% 185.81/30.25    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.25    (6)  all_54_8 = all_52_2
% 185.81/30.25    (7)  op(e2, e0) = all_52_13
% 185.81/30.25    (8)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 =
% 185.81/30.25             e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0)
% 185.81/30.25           & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.81/30.25             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.81/30.25           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 185.81/30.25           $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 185.81/30.25           $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 185.81/30.25           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 185.81/30.25           & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 185.81/30.25           op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 185.81/30.25           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 185.81/30.25           $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 185.81/30.25           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.81/30.25               op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 185.81/30.25               e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 185.81/30.25    (9)   ~ (all_52_13 = e0)
% 185.81/30.25    (10)   ~ (all_52_2 = all_52_14)
% 185.81/30.25    (11)   ~ (all_52_2 = e1)
% 185.81/30.25  
% 185.81/30.25  Begin of proof
% 185.81/30.25  | 
% 185.81/30.25  | BETA: splitting (8) gives:
% 185.81/30.25  | 
% 185.81/30.25  | Case 1:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (12)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 185.81/30.25  | |         (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.81/30.25  | |         (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23)
% 185.81/30.25  | |         = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22
% 185.81/30.25  | |         & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1
% 185.81/30.25  | |         & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.81/30.25  | |         $i(all_57_23) & $i(all_57_30)
% 185.81/30.25  | | 
% 185.81/30.25  | | ALPHA: (12) implies:
% 185.81/30.25  | |   (13)  op(e1, e0) = e1
% 185.81/30.25  | | 
% 185.81/30.25  | | REF_CLOSE: (1), (3), (5), (13) are inconsistent by sub-proof #1609.
% 185.81/30.25  | | 
% 185.81/30.25  | Case 2:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (14)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.81/30.25  | |         (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 185.81/30.25  | |         = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 185.81/30.25  | |         all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.81/30.25  | |           e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.81/30.25  | |         $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 185.81/30.25  | |         (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 185.81/30.25  | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 185.81/30.25  | |           (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 185.81/30.25  | | 
% 185.81/30.25  | | ALPHA: (14) implies:
% 185.81/30.25  | |   (15)   ~ (all_57_15 = e0)
% 185.81/30.25  | |   (16)  op(e0, e0) = all_57_31
% 185.81/30.25  | |   (17)  op(e0, e3) = all_57_25
% 185.81/30.25  | |   (18)  op(e0, all_57_31) = all_57_15
% 185.81/30.25  | |   (19)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0)
% 185.81/30.25  | |         | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 =
% 185.81/30.25  | |           e0 & all_57_27 = e0 & op(e1, e0) = e0)
% 185.81/30.25  | | 
% 185.81/30.25  | | BETA: splitting (4) gives:
% 185.81/30.25  | | 
% 185.81/30.25  | | Case 1:
% 185.81/30.25  | | | 
% 185.81/30.25  | | |   (20)  all_54_8 = e1
% 185.81/30.25  | | | 
% 185.81/30.25  | | | REF_CLOSE: (6), (11), (20) are inconsistent by sub-proof #952.
% 185.81/30.25  | | | 
% 185.81/30.25  | | Case 2:
% 185.81/30.25  | | | 
% 185.81/30.25  | | |   (21)  all_54_8 = e0
% 185.81/30.25  | | | 
% 185.81/30.25  | | | COMBINE_EQS: (6), (21) imply:
% 185.81/30.25  | | |   (22)  all_52_2 = e0
% 185.81/30.25  | | | 
% 185.81/30.25  | | | SIMP: (22) implies:
% 185.81/30.25  | | |   (23)  all_52_2 = e0
% 185.81/30.25  | | | 
% 185.81/30.25  | | | REDUCE: (10), (23) imply:
% 185.81/30.25  | | |   (24)   ~ (all_52_14 = e0)
% 185.81/30.25  | | | 
% 185.81/30.25  | | | SIMP: (24) implies:
% 185.81/30.25  | | |   (25)   ~ (all_52_14 = e0)
% 185.81/30.25  | | | 
% 185.81/30.25  | | | REDUCE: (11), (23) imply:
% 185.81/30.25  | | |   (26)   ~ (e1 = e0)
% 185.81/30.25  | | | 
% 185.81/30.25  | | | SIMP: (26) implies:
% 185.81/30.25  | | |   (27)   ~ (e1 = e0)
% 185.81/30.25  | | | 
% 185.81/30.25  | | | REF_CLOSE: (1), (2), (5), (7), (9), (15), (16), (17), (18), (19), (25),
% 185.81/30.25  | | |            (27) are inconsistent by sub-proof #1316.
% 185.81/30.25  | | | 
% 185.81/30.25  | | End of split
% 185.81/30.25  | | 
% 185.81/30.25  | End of split
% 185.81/30.25  | 
% 185.81/30.25  End of proof
% 185.81/30.25  
% 185.81/30.25  Sub-proof #793 shows that the following formulas are inconsistent:
% 185.81/30.25  ----------------------------------------------------------------
% 185.81/30.25    (1)  op(e2, e1) = all_52_9
% 185.81/30.25    (2)   ~ (all_52_9 = all_52_13)
% 185.81/30.25    (3)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 =
% 185.81/30.25           e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 185.81/30.25         op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) =
% 185.81/30.25         all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 185.81/30.25         op(e1, e2) = e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 &
% 185.81/30.25         $i(all_57_8) & $i(all_57_10) & $i(all_57_11) & $i(all_57_22) &
% 185.81/30.25         $i(all_57_24) & $i(all_57_30)
% 185.81/30.25    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.25    (5)  all_54_7 = all_52_13
% 185.81/30.25    (6)   ~ (all_52_13 = e2)
% 185.81/30.25    (7)   ~ (all_52_13 = e0)
% 185.81/30.25    (8)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.81/30.25  
% 185.81/30.25  Begin of proof
% 185.81/30.25  | 
% 185.81/30.25  | ALPHA: (3) implies:
% 185.81/30.25  |   (9)  op(e2, e1) = e1
% 185.81/30.25  | 
% 185.81/30.25  | BETA: splitting (8) gives:
% 185.81/30.25  | 
% 185.81/30.25  | Case 1:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (10)  all_54_7 = e2
% 185.81/30.25  | | 
% 185.81/30.25  | | REF_CLOSE: (5), (6), (10) are inconsistent by sub-proof #795.
% 185.81/30.25  | | 
% 185.81/30.25  | Case 2:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (11)  all_54_7 = e1 | all_54_7 = e0
% 185.81/30.25  | | 
% 185.81/30.25  | | REF_CLOSE: (1), (2), (4), (5), (7), (9), (11) are inconsistent by sub-proof
% 185.81/30.25  | |            #794.
% 185.81/30.25  | | 
% 185.81/30.25  | End of split
% 185.81/30.25  | 
% 185.81/30.25  End of proof
% 185.81/30.25  
% 185.81/30.25  Sub-proof #794 shows that the following formulas are inconsistent:
% 185.81/30.25  ----------------------------------------------------------------
% 185.81/30.25    (1)  op(e2, e1) = e1
% 185.81/30.25    (2)  op(e2, e1) = all_52_9
% 185.81/30.25    (3)   ~ (all_52_9 = all_52_13)
% 185.81/30.25    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.25    (5)  all_54_7 = all_52_13
% 185.81/30.25    (6)  all_54_7 = e1 | all_54_7 = e0
% 185.81/30.25    (7)   ~ (all_52_13 = e0)
% 185.81/30.25  
% 185.81/30.25  Begin of proof
% 185.81/30.25  | 
% 185.81/30.25  | BETA: splitting (6) gives:
% 185.81/30.25  | 
% 185.81/30.25  | Case 1:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (8)  all_54_7 = e1
% 185.81/30.25  | | 
% 185.81/30.25  | | COMBINE_EQS: (5), (8) imply:
% 185.81/30.25  | |   (9)  all_52_13 = e1
% 185.81/30.25  | | 
% 185.81/30.25  | | SIMP: (9) implies:
% 185.81/30.25  | |   (10)  all_52_13 = e1
% 185.81/30.25  | | 
% 185.81/30.25  | | REDUCE: (3), (10) imply:
% 185.81/30.25  | |   (11)   ~ (all_52_9 = e1)
% 185.81/30.25  | | 
% 185.81/30.25  | | REF_CLOSE: (1), (2), (4), (11) are inconsistent by sub-proof #1610.
% 185.81/30.25  | | 
% 185.81/30.25  | Case 2:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (12)  all_54_7 = e0
% 185.81/30.25  | | 
% 185.81/30.25  | | REF_CLOSE: (5), (7), (12) are inconsistent by sub-proof #946.
% 185.81/30.25  | | 
% 185.81/30.25  | End of split
% 185.81/30.25  | 
% 185.81/30.25  End of proof
% 185.81/30.25  
% 185.81/30.25  Sub-proof #795 shows that the following formulas are inconsistent:
% 185.81/30.25  ----------------------------------------------------------------
% 185.81/30.25    (1)  all_54_7 = all_52_13
% 185.81/30.25    (2)  all_54_7 = e2
% 185.81/30.25    (3)   ~ (all_52_13 = e2)
% 185.81/30.25  
% 185.81/30.25  Begin of proof
% 185.81/30.25  | 
% 185.81/30.25  | COMBINE_EQS: (1), (2) imply:
% 185.81/30.25  |   (4)  all_52_13 = e2
% 185.81/30.25  | 
% 185.81/30.25  | SIMP: (4) implies:
% 185.81/30.25  |   (5)  all_52_13 = e2
% 185.81/30.25  | 
% 185.81/30.25  | REDUCE: (3), (5) imply:
% 185.81/30.25  |   (6)  $false
% 185.81/30.25  | 
% 185.81/30.25  | CLOSE: (6) is inconsistent.
% 185.81/30.25  | 
% 185.81/30.25  End of proof
% 185.81/30.25  
% 185.81/30.25  Sub-proof #796 shows that the following formulas are inconsistent:
% 185.81/30.25  ----------------------------------------------------------------
% 185.81/30.25    (1)   ~ (all_57_3 = e0)
% 185.81/30.25    (2)  op(e3, e0) = all_57_18
% 185.81/30.25    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.25    (4)  all_57_18 = e0
% 185.81/30.25    (5)  op(e3, all_57_18) = all_57_3
% 185.81/30.25  
% 185.81/30.25  Begin of proof
% 185.81/30.25  | 
% 185.81/30.25  | REDUCE: (4), (5) imply:
% 185.81/30.25  |   (6)  op(e3, e0) = all_57_3
% 185.81/30.25  | 
% 185.81/30.25  | REDUCE: (2), (4) imply:
% 185.81/30.25  |   (7)  op(e3, e0) = e0
% 185.81/30.25  | 
% 185.81/30.25  | GROUND_INST: instantiating (3) with e0, all_57_3, e0, e3, simplifying with
% 185.81/30.25  |              (6), (7) gives:
% 185.81/30.25  |   (8)  all_57_3 = e0
% 185.81/30.25  | 
% 185.81/30.25  | REDUCE: (1), (8) imply:
% 185.81/30.25  |   (9)  $false
% 185.81/30.25  | 
% 185.81/30.25  | CLOSE: (9) is inconsistent.
% 185.81/30.25  | 
% 185.81/30.25  End of proof
% 185.81/30.25  
% 185.81/30.25  Sub-proof #797 shows that the following formulas are inconsistent:
% 185.81/30.25  ----------------------------------------------------------------
% 185.81/30.25    (1)  all_54_7 = all_52_13
% 185.81/30.25    (2)  all_54_7 = e3
% 185.81/30.25    (3)   ~ (all_52_13 = e3)
% 185.81/30.25  
% 185.81/30.25  Begin of proof
% 185.81/30.25  | 
% 185.81/30.25  | COMBINE_EQS: (1), (2) imply:
% 185.81/30.25  |   (4)  all_52_13 = e3
% 185.81/30.25  | 
% 185.81/30.25  | SIMP: (4) implies:
% 185.81/30.25  |   (5)  all_52_13 = e3
% 185.81/30.25  | 
% 185.81/30.25  | REDUCE: (3), (5) imply:
% 185.81/30.25  |   (6)  $false
% 185.81/30.25  | 
% 185.81/30.25  | CLOSE: (6) is inconsistent.
% 185.81/30.25  | 
% 185.81/30.25  End of proof
% 185.81/30.25  
% 185.81/30.25  Sub-proof #798 shows that the following formulas are inconsistent:
% 185.81/30.25  ----------------------------------------------------------------
% 185.81/30.25    (1)  op(e0, e0) = all_6_2
% 185.81/30.25    (2)   ~ (all_6_2 = e1)
% 185.81/30.25    (3)  all_56_12 = e3 & op(e0, e3) = e3
% 185.81/30.25    (4)   ~ (e1 = e0)
% 185.81/30.25    (5)  all_56_13 = e3
% 185.81/30.25    (6)   ~ (e3 = e0)
% 185.81/30.25    (7)   ~ (e2 = e0)
% 185.81/30.25    (8)   ~ (e3 = e1)
% 185.81/30.25    (9)   ~ (all_6_2 = e2)
% 185.81/30.25    (10)  op(e0, e3) = all_52_3
% 185.81/30.25    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.25            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.25    (12)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.81/30.25          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.81/30.25            e1)
% 185.81/30.25    (13)   ~ (e3 = e2)
% 185.81/30.25    (14)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.81/30.25          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.81/30.25            e3)
% 185.81/30.25    (15)   ~ (all_52_7 = e2)
% 185.81/30.25    (16)   ~ (e2 = e1)
% 185.81/30.25    (17)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.81/30.25          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.81/30.25            e2)
% 185.81/30.25    (18)  op(e0, e2) = all_52_7
% 185.81/30.25    (19)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.81/30.25              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.81/30.25                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.81/30.25                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.81/30.25  
% 185.81/30.25  Begin of proof
% 185.81/30.25  | 
% 185.81/30.25  | ALPHA: (3) implies:
% 185.81/30.25  |   (20)  all_56_12 = e3
% 185.81/30.25  |   (21)  op(e0, e3) = e3
% 185.81/30.25  | 
% 185.81/30.25  | BETA: splitting (17) gives:
% 185.81/30.25  | 
% 185.81/30.25  | Case 1:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (22)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 185.81/30.25  | |           e2)
% 185.81/30.25  | | 
% 185.81/30.25  | | BETA: splitting (22) gives:
% 185.81/30.25  | | 
% 185.81/30.25  | | Case 1:
% 185.81/30.25  | | | 
% 185.81/30.25  | | |   (23)  all_56_12 = e2 & op(e0, e3) = e2
% 185.81/30.25  | | | 
% 185.81/30.25  | | | ALPHA: (23) implies:
% 185.81/30.25  | | |   (24)  all_56_12 = e2
% 185.81/30.25  | | | 
% 185.81/30.25  | | | COMBINE_EQS: (20), (24) imply:
% 185.81/30.25  | | |   (25)  e3 = e2
% 185.81/30.25  | | | 
% 185.81/30.25  | | | COMBINE_EQS: (5), (25) imply:
% 185.81/30.25  | | |   (26)  all_56_13 = e2
% 185.81/30.25  | | | 
% 185.81/30.25  | | | REF_CLOSE: (1), (2), (4), (6), (7), (8), (11), (12), (13), (14), (16),
% 185.81/30.25  | | |            (19), (24), (26) are inconsistent by sub-proof #1119.
% 185.81/30.25  | | | 
% 185.81/30.25  | | Case 2:
% 185.81/30.25  | | | 
% 185.81/30.25  | | |   (27)  all_56_13 = e2 & op(e0, e2) = e2
% 185.81/30.25  | | | 
% 185.81/30.25  | | | ALPHA: (27) implies:
% 185.81/30.25  | | |   (28)  op(e0, e2) = e2
% 185.81/30.25  | | | 
% 185.81/30.25  | | | REF_CLOSE: (11), (15), (18), (28) are inconsistent by sub-proof #1613.
% 185.81/30.25  | | | 
% 185.81/30.25  | | End of split
% 185.81/30.25  | | 
% 185.81/30.25  | Case 2:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (29)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.81/30.25  | |           e2)
% 185.81/30.25  | | 
% 185.81/30.25  | | REF_CLOSE: (1), (2), (5), (8), (9), (10), (11), (12), (16), (21), (29) are
% 185.81/30.25  | |            inconsistent by sub-proof #1000.
% 185.81/30.25  | | 
% 185.81/30.25  | End of split
% 185.81/30.25  | 
% 185.81/30.25  End of proof
% 185.81/30.25  
% 185.81/30.25  Sub-proof #799 shows that the following formulas are inconsistent:
% 185.81/30.25  ----------------------------------------------------------------
% 185.81/30.25    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.81/30.25         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.81/30.25    (2)  op(e1, e1) = e3
% 185.81/30.25    (3)   ~ (e1 = e0)
% 185.81/30.25    (4)   ~ (e2 = e0)
% 185.81/30.25    (5)   ~ (e3 = e1)
% 185.81/30.25    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.25    (7)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.81/30.25         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.81/30.25    (8)  all_56_6 = e3
% 185.81/30.25    (9)   ~ (e3 = e2)
% 185.81/30.25    (10)  all_56_11 = e0
% 185.81/30.25    (11)   ~ (e2 = e1)
% 185.81/30.25  
% 185.81/30.25  Begin of proof
% 185.81/30.25  | 
% 185.81/30.25  | BETA: splitting (1) gives:
% 185.81/30.25  | 
% 185.81/30.25  | Case 1:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (12)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 185.81/30.25  | |           e1)
% 185.81/30.25  | | 
% 185.81/30.25  | | BETA: splitting (12) gives:
% 185.81/30.25  | | 
% 185.81/30.25  | | Case 1:
% 185.81/30.25  | | | 
% 185.81/30.25  | | |   (13)  all_56_6 = e1 & op(e1, e3) = e1
% 185.81/30.25  | | | 
% 185.81/30.25  | | | REF_CLOSE: (5), (8), (13) are inconsistent by sub-proof #1227.
% 185.81/30.25  | | | 
% 185.81/30.25  | | Case 2:
% 185.81/30.25  | | | 
% 185.81/30.25  | | |   (14)  all_56_7 = e1 & op(e1, e2) = e1
% 185.81/30.25  | | | 
% 185.81/30.25  | | | ALPHA: (14) implies:
% 185.81/30.25  | | |   (15)  all_56_7 = e1
% 185.81/30.25  | | | 
% 185.81/30.25  | | | BETA: splitting (7) gives:
% 185.81/30.25  | | | 
% 185.81/30.25  | | | Case 1:
% 185.81/30.25  | | | | 
% 185.81/30.25  | | | |   (16)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2)
% 185.81/30.25  | | | |           = e2)
% 185.81/30.25  | | | | 
% 185.81/30.25  | | | | BETA: splitting (16) gives:
% 185.81/30.25  | | | | 
% 185.81/30.25  | | | | Case 1:
% 185.81/30.25  | | | | | 
% 185.81/30.25  | | | | |   (17)  all_56_6 = e2 & op(e1, e3) = e2
% 185.81/30.25  | | | | | 
% 185.81/30.25  | | | | | REF_CLOSE: (8), (9), (17) are inconsistent by sub-proof #1232.
% 185.81/30.25  | | | | | 
% 185.81/30.25  | | | | Case 2:
% 185.81/30.25  | | | | | 
% 185.81/30.25  | | | | |   (18)  all_56_7 = e2 & op(e1, e2) = e2
% 185.81/30.25  | | | | | 
% 185.81/30.25  | | | | | ALPHA: (18) implies:
% 185.81/30.25  | | | | |   (19)  all_56_7 = e2
% 185.81/30.25  | | | | | 
% 185.81/30.25  | | | | | COMBINE_EQS: (15), (19) imply:
% 185.81/30.25  | | | | |   (20)  e2 = e1
% 185.81/30.25  | | | | | 
% 185.81/30.25  | | | | | REDUCE: (11), (20) imply:
% 185.81/30.25  | | | | |   (21)  $false
% 185.81/30.25  | | | | | 
% 185.81/30.25  | | | | | CLOSE: (21) is inconsistent.
% 185.81/30.25  | | | | | 
% 185.81/30.25  | | | | End of split
% 185.81/30.25  | | | | 
% 185.81/30.25  | | | Case 2:
% 185.81/30.25  | | | | 
% 185.81/30.25  | | | |   (22)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0)
% 185.81/30.25  | | | |           = e2)
% 185.81/30.25  | | | | 
% 185.81/30.25  | | | | REF_CLOSE: (2), (4), (6), (9), (10), (22) are inconsistent by sub-proof
% 185.81/30.25  | | | |            #800.
% 185.81/30.25  | | | | 
% 185.81/30.25  | | | End of split
% 185.81/30.25  | | | 
% 185.81/30.25  | | End of split
% 185.81/30.25  | | 
% 185.81/30.25  | Case 2:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (23)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 185.81/30.25  | |           e1)
% 185.81/30.25  | | 
% 185.81/30.25  | | BETA: splitting (23) gives:
% 185.81/30.25  | | 
% 185.81/30.25  | | Case 1:
% 185.81/30.25  | | | 
% 185.81/30.25  | | |   (24)  all_56_8 = e1 & op(e1, e1) = e1
% 185.81/30.25  | | | 
% 185.81/30.25  | | | ALPHA: (24) implies:
% 185.81/30.25  | | |   (25)  op(e1, e1) = e1
% 185.81/30.25  | | | 
% 185.81/30.25  | | | REF_CLOSE: (2), (5), (6), (25) are inconsistent by sub-proof #1541.
% 185.81/30.25  | | | 
% 185.81/30.25  | | Case 2:
% 185.81/30.25  | | | 
% 185.81/30.25  | | |   (26)  all_56_11 = e1 & op(e1, e0) = e1
% 185.81/30.25  | | | 
% 185.81/30.25  | | | REF_CLOSE: (3), (10), (26) are inconsistent by sub-proof #1166.
% 185.81/30.25  | | | 
% 185.81/30.25  | | End of split
% 185.81/30.25  | | 
% 185.81/30.25  | End of split
% 185.81/30.25  | 
% 185.81/30.25  End of proof
% 185.81/30.25  
% 185.81/30.25  Sub-proof #800 shows that the following formulas are inconsistent:
% 185.81/30.25  ----------------------------------------------------------------
% 185.81/30.25    (1)  op(e1, e1) = e3
% 185.81/30.25    (2)   ~ (e2 = e0)
% 185.81/30.25    (3)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.81/30.25    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.25    (5)   ~ (e3 = e2)
% 185.81/30.25    (6)  all_56_11 = e0
% 185.81/30.25  
% 185.81/30.25  Begin of proof
% 185.81/30.25  | 
% 185.81/30.25  | BETA: splitting (3) gives:
% 185.81/30.25  | 
% 185.81/30.25  | Case 1:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (7)  all_56_8 = e2 & op(e1, e1) = e2
% 185.81/30.25  | | 
% 185.81/30.25  | | ALPHA: (7) implies:
% 185.81/30.25  | |   (8)  op(e1, e1) = e2
% 185.81/30.25  | | 
% 185.81/30.25  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1164.
% 185.81/30.25  | | 
% 185.81/30.25  | Case 2:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (9)  all_56_11 = e2 & op(e1, e0) = e2
% 185.81/30.25  | | 
% 185.81/30.25  | | ALPHA: (9) implies:
% 185.81/30.25  | |   (10)  all_56_11 = e2
% 185.81/30.25  | | 
% 185.81/30.25  | | REF_CLOSE: (2), (6), (10) are inconsistent by sub-proof #1500.
% 185.81/30.25  | | 
% 185.81/30.25  | End of split
% 185.81/30.25  | 
% 185.81/30.25  End of proof
% 185.81/30.25  
% 185.81/30.25  Sub-proof #801 shows that the following formulas are inconsistent:
% 185.81/30.25  ----------------------------------------------------------------
% 185.81/30.25    (1)  all_56_6 = e0 & op(e1, e3) = e0
% 185.81/30.25    (2)  all_56_6 = e3
% 185.81/30.25    (3)   ~ (e3 = e0)
% 185.81/30.25  
% 185.81/30.25  Begin of proof
% 185.81/30.25  | 
% 185.81/30.25  | ALPHA: (1) implies:
% 185.81/30.25  |   (4)  all_56_6 = e0
% 185.81/30.25  | 
% 185.81/30.25  | COMBINE_EQS: (2), (4) imply:
% 185.81/30.25  |   (5)  e3 = e0
% 185.81/30.25  | 
% 185.81/30.25  | REDUCE: (3), (5) imply:
% 185.81/30.25  |   (6)  $false
% 185.81/30.25  | 
% 185.81/30.25  | CLOSE: (6) is inconsistent.
% 185.81/30.25  | 
% 185.81/30.25  End of proof
% 185.81/30.25  
% 185.81/30.25  Sub-proof #802 shows that the following formulas are inconsistent:
% 185.81/30.25  ----------------------------------------------------------------
% 185.81/30.25    (1)   ~ (all_52_4 = e3)
% 185.81/30.25    (2)   ~ (e3 = e1)
% 185.81/30.25    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.25    (4)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 185.81/30.25    (5)  op(e3, e3) = e1
% 185.81/30.25    (6)  op(e3, e2) = all_52_4
% 185.81/30.25  
% 185.81/30.25  Begin of proof
% 185.81/30.25  | 
% 185.81/30.25  | BETA: splitting (4) gives:
% 185.81/30.25  | 
% 185.81/30.25  | Case 1:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (7)  all_56_0 = e3 & op(e3, e3) = e3
% 185.81/30.25  | | 
% 185.81/30.25  | | ALPHA: (7) implies:
% 185.81/30.25  | |   (8)  op(e3, e3) = e3
% 185.81/30.25  | | 
% 185.81/30.25  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1600.
% 185.81/30.25  | | 
% 185.81/30.25  | Case 2:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (9)  all_56_1 = e3 & op(e3, e2) = e3
% 185.81/30.25  | | 
% 185.81/30.25  | | ALPHA: (9) implies:
% 185.81/30.25  | |   (10)  op(e3, e2) = e3
% 185.81/30.25  | | 
% 185.81/30.25  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1603.
% 185.81/30.25  | | 
% 185.81/30.25  | End of split
% 185.81/30.25  | 
% 185.81/30.25  End of proof
% 185.81/30.25  
% 185.81/30.25  Sub-proof #803 shows that the following formulas are inconsistent:
% 185.81/30.25  ----------------------------------------------------------------
% 185.81/30.25    (1)   ~ (all_52_8 = e3)
% 185.81/30.25    (2)  op(e3, e0) = all_52_12
% 185.81/30.25    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.25    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.81/30.25    (5)   ~ (all_52_12 = e3)
% 185.81/30.25    (6)  op(e3, e1) = all_52_8
% 185.81/30.25  
% 185.81/30.25  Begin of proof
% 185.81/30.25  | 
% 185.81/30.25  | BETA: splitting (4) gives:
% 185.81/30.25  | 
% 185.81/30.25  | Case 1:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (7)  all_56_4 = e3 & op(e3, e1) = e3
% 185.81/30.25  | | 
% 185.81/30.25  | | ALPHA: (7) implies:
% 185.81/30.25  | |   (8)  op(e3, e1) = e3
% 185.81/30.25  | | 
% 185.81/30.25  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1346.
% 185.81/30.25  | | 
% 185.81/30.25  | Case 2:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (9)  all_56_9 = e3 & op(e3, e0) = e3
% 185.81/30.25  | | 
% 185.81/30.25  | | ALPHA: (9) implies:
% 185.81/30.25  | |   (10)  op(e3, e0) = e3
% 185.81/30.25  | | 
% 185.81/30.25  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1615.
% 185.81/30.25  | | 
% 185.81/30.25  | End of split
% 185.81/30.25  | 
% 185.81/30.25  End of proof
% 185.81/30.25  
% 185.81/30.25  Sub-proof #804 shows that the following formulas are inconsistent:
% 185.81/30.25  ----------------------------------------------------------------
% 185.81/30.25    (1)  all_56_11 = e3 & op(e1, e0) = e3
% 185.81/30.25    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.25    (3)  op(e1, e0) = all_52_14
% 185.81/30.25    (4)   ~ (all_52_14 = e3)
% 185.81/30.25  
% 185.81/30.25  Begin of proof
% 185.81/30.25  | 
% 185.81/30.25  | ALPHA: (1) implies:
% 185.81/30.25  |   (5)  op(e1, e0) = e3
% 185.81/30.25  | 
% 185.81/30.25  | GROUND_INST: instantiating (2) with all_52_14, e3, e0, e1, simplifying with
% 185.81/30.25  |              (3), (5) gives:
% 185.81/30.25  |   (6)  all_52_14 = e3
% 185.81/30.25  | 
% 185.81/30.25  | REDUCE: (4), (6) imply:
% 185.81/30.25  |   (7)  $false
% 185.81/30.25  | 
% 185.81/30.25  | CLOSE: (7) is inconsistent.
% 185.81/30.25  | 
% 185.81/30.25  End of proof
% 185.81/30.25  
% 185.81/30.25  Sub-proof #805 shows that the following formulas are inconsistent:
% 185.81/30.25  ----------------------------------------------------------------
% 185.81/30.25    (1)   ~ (all_52_3 = e1)
% 185.81/30.25    (2)  op(e2, e1) = e1
% 185.81/30.25    (3)  op(e2, e1) = all_52_9
% 185.81/30.25    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.25    (5)   ~ (all_52_9 = all_52_11)
% 185.81/30.25    (6)   ~ (all_52_3 = e0)
% 185.81/30.25    (7)  all_54_12 = all_52_3
% 185.81/30.25    (8)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 185.81/30.25    (9)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 185.81/30.25    (10)   ~ (all_52_11 = e0)
% 185.81/30.25    (11)   ~ (all_52_3 = all_52_11)
% 185.81/30.25    (12)  all_54_14 = all_52_11
% 185.81/30.25    (13)   ~ (all_52_11 = e3)
% 185.81/30.25  
% 185.81/30.25  Begin of proof
% 185.81/30.25  | 
% 185.81/30.25  | BETA: splitting (8) gives:
% 185.81/30.25  | 
% 185.81/30.25  | Case 1:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (14)  all_54_12 = e2
% 185.81/30.25  | | 
% 185.81/30.25  | | COMBINE_EQS: (7), (14) imply:
% 185.81/30.25  | |   (15)  all_52_3 = e2
% 185.81/30.25  | | 
% 185.81/30.25  | | SIMP: (15) implies:
% 185.81/30.25  | |   (16)  all_52_3 = e2
% 185.81/30.25  | | 
% 185.81/30.25  | | REDUCE: (11), (16) imply:
% 185.81/30.25  | |   (17)   ~ (all_52_11 = e2)
% 185.81/30.25  | | 
% 185.81/30.25  | | SIMP: (17) implies:
% 185.81/30.25  | |   (18)   ~ (all_52_11 = e2)
% 185.81/30.25  | | 
% 185.81/30.25  | | BETA: splitting (9) gives:
% 185.81/30.25  | | 
% 185.81/30.25  | | Case 1:
% 185.81/30.25  | | | 
% 185.81/30.25  | | |   (19)  all_54_14 = e3
% 185.81/30.25  | | | 
% 185.81/30.25  | | | COMBINE_EQS: (12), (19) imply:
% 185.81/30.25  | | |   (20)  all_52_11 = e3
% 185.81/30.25  | | | 
% 185.81/30.25  | | | REDUCE: (13), (20) imply:
% 185.81/30.25  | | |   (21)  $false
% 185.81/30.25  | | | 
% 185.81/30.25  | | | CLOSE: (21) is inconsistent.
% 185.81/30.25  | | | 
% 185.81/30.25  | | Case 2:
% 185.81/30.25  | | | 
% 185.81/30.25  | | |   (22)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 185.81/30.25  | | | 
% 185.81/30.25  | | | REF_CLOSE: (2), (3), (4), (5), (10), (12), (18), (22) are inconsistent by
% 185.81/30.25  | | |            sub-proof #806.
% 185.81/30.25  | | | 
% 185.81/30.25  | | End of split
% 185.81/30.25  | | 
% 185.81/30.25  | Case 2:
% 185.81/30.25  | | 
% 185.81/30.25  | |   (23)  all_54_12 = e1 | all_54_12 = e0
% 185.81/30.25  | | 
% 185.81/30.25  | | REF_CLOSE: (1), (6), (7), (23) are inconsistent by sub-proof #1255.
% 185.81/30.25  | | 
% 185.81/30.25  | End of split
% 185.81/30.25  | 
% 185.81/30.25  End of proof
% 185.81/30.25  
% 185.81/30.25  Sub-proof #806 shows that the following formulas are inconsistent:
% 185.81/30.25  ----------------------------------------------------------------
% 185.81/30.25    (1)  op(e2, e1) = e1
% 185.81/30.25    (2)  op(e2, e1) = all_52_9
% 185.81/30.25    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.25           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.26    (4)   ~ (all_52_9 = all_52_11)
% 185.81/30.26    (5)   ~ (all_52_11 = e0)
% 185.81/30.26    (6)  all_54_14 = all_52_11
% 185.81/30.26    (7)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 185.81/30.26    (8)   ~ (all_52_11 = e2)
% 185.81/30.26  
% 185.81/30.26  Begin of proof
% 185.81/30.26  | 
% 185.81/30.26  | BETA: splitting (7) gives:
% 185.81/30.26  | 
% 185.81/30.26  | Case 1:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (9)  all_54_14 = e2
% 185.81/30.26  | | 
% 185.81/30.26  | | COMBINE_EQS: (6), (9) imply:
% 185.81/30.26  | |   (10)  all_52_11 = e2
% 185.81/30.26  | | 
% 185.81/30.26  | | REDUCE: (8), (10) imply:
% 185.81/30.26  | |   (11)  $false
% 185.81/30.26  | | 
% 185.81/30.26  | | CLOSE: (11) is inconsistent.
% 185.81/30.26  | | 
% 185.81/30.26  | Case 2:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (12)  all_54_14 = e1 | all_54_14 = e0
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (12) are inconsistent by sub-proof
% 185.81/30.26  | |            #807.
% 185.81/30.26  | | 
% 185.81/30.26  | End of split
% 185.81/30.26  | 
% 185.81/30.26  End of proof
% 185.81/30.26  
% 185.81/30.26  Sub-proof #807 shows that the following formulas are inconsistent:
% 185.81/30.26  ----------------------------------------------------------------
% 185.81/30.26    (1)  all_54_14 = e1 | all_54_14 = e0
% 185.81/30.26    (2)  op(e2, e1) = e1
% 185.81/30.26    (3)  op(e2, e1) = all_52_9
% 185.81/30.26    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.26    (5)   ~ (all_52_9 = all_52_11)
% 185.81/30.26    (6)   ~ (all_52_11 = e0)
% 185.81/30.26    (7)  all_54_14 = all_52_11
% 185.81/30.26  
% 185.81/30.26  Begin of proof
% 185.81/30.26  | 
% 185.81/30.26  | BETA: splitting (1) gives:
% 185.81/30.26  | 
% 185.81/30.26  | Case 1:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (8)  all_54_14 = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | COMBINE_EQS: (7), (8) imply:
% 185.81/30.26  | |   (9)  all_52_11 = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | SIMP: (9) implies:
% 185.81/30.26  | |   (10)  all_52_11 = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | REDUCE: (5), (10) imply:
% 185.81/30.26  | |   (11)   ~ (all_52_9 = e1)
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (2), (3), (4), (11) are inconsistent by sub-proof #1610.
% 185.81/30.26  | | 
% 185.81/30.26  | Case 2:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (12)  all_54_14 = e0
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (6), (7), (12) are inconsistent by sub-proof #1306.
% 185.81/30.26  | | 
% 185.81/30.26  | End of split
% 185.81/30.26  | 
% 185.81/30.26  End of proof
% 185.81/30.26  
% 185.81/30.26  Sub-proof #808 shows that the following formulas are inconsistent:
% 185.81/30.26  ----------------------------------------------------------------
% 185.81/30.26    (1)   ~ (all_52_8 = e3)
% 185.81/30.26    (2)  op(e2, e3) = all_52_1
% 185.81/30.26    (3)  all_54_4 = all_52_1
% 185.81/30.26    (4)   ~ (all_52_1 = e3)
% 185.81/30.26    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.26    (6)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 185.81/30.26             e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.81/30.26           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.81/30.26             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.81/30.26           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 185.81/30.26           $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 185.81/30.26           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3
% 185.81/30.26           & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 185.81/30.26           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 185.81/30.26           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.81/30.26             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 185.81/30.26             e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.81/30.26           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 185.81/30.26    (7)   ~ (all_52_1 = e1)
% 185.81/30.26    (8)  all_54_4 = e1 | all_54_4 = e0
% 185.81/30.26    (9)  all_54_2 = e1 | all_54_2 = e0
% 185.81/30.26    (10)  all_54_2 = all_52_8
% 185.81/30.26    (11)  op(e3, e1) = all_52_8
% 185.81/30.26    (12)   ~ (all_52_8 = e1)
% 185.81/30.26  
% 185.81/30.26  Begin of proof
% 185.81/30.26  | 
% 185.81/30.26  | BETA: splitting (6) gives:
% 185.81/30.26  | 
% 185.81/30.26  | Case 1:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (13)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~
% 185.81/30.26  | |         (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~
% 185.81/30.26  | |         (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.81/30.26  | |         = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 185.81/30.26  | |         op(e3, e2) = e3 & op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 &
% 185.81/30.26  | |         op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 185.81/30.26  | |         $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 185.81/30.26  | | 
% 185.81/30.26  | | ALPHA: (13) implies:
% 185.81/30.26  | |   (14)  op(e2, e3) = e3
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (14) are inconsistent by sub-proof
% 185.81/30.26  | |            #1082.
% 185.81/30.26  | | 
% 185.81/30.26  | Case 2:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (15)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 = e3 &  ~
% 185.81/30.26  | |         (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0) &  ~
% 185.81/30.26  | |         (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_18)
% 185.81/30.26  | |         = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 185.81/30.26  | |         op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3, e0) = all_57_18 &
% 185.81/30.26  | |         op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.81/30.26  | |         $i(all_57_16) & $i(all_57_18) & $i(all_57_28)
% 185.81/30.26  | | 
% 185.81/30.26  | | ALPHA: (15) implies:
% 185.81/30.26  | |   (16)  op(e3, e1) = e3
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (1), (5), (9), (10), (11), (12), (16) are inconsistent by
% 185.81/30.26  | |            sub-proof #1478.
% 185.81/30.26  | | 
% 185.81/30.26  | End of split
% 185.81/30.26  | 
% 185.81/30.26  End of proof
% 185.81/30.26  
% 185.81/30.26  Sub-proof #809 shows that the following formulas are inconsistent:
% 185.81/30.26  ----------------------------------------------------------------
% 185.81/30.26    (1)  all_54_3 = all_52_12
% 185.81/30.26    (2)  all_54_3 = e3
% 185.81/30.26    (3)   ~ (all_52_12 = e3)
% 185.81/30.26  
% 185.81/30.26  Begin of proof
% 185.81/30.26  | 
% 185.81/30.26  | COMBINE_EQS: (1), (2) imply:
% 185.81/30.26  |   (4)  all_52_12 = e3
% 185.81/30.26  | 
% 185.81/30.26  | SIMP: (4) implies:
% 185.81/30.26  |   (5)  all_52_12 = e3
% 185.81/30.26  | 
% 185.81/30.26  | REDUCE: (3), (5) imply:
% 185.81/30.26  |   (6)  $false
% 185.81/30.26  | 
% 185.81/30.26  | CLOSE: (6) is inconsistent.
% 185.81/30.26  | 
% 185.81/30.26  End of proof
% 185.81/30.26  
% 185.81/30.26  Sub-proof #810 shows that the following formulas are inconsistent:
% 185.81/30.26  ----------------------------------------------------------------
% 185.81/30.26    (1)  op(e0, e0) = all_6_2
% 185.81/30.26    (2)  all_56_10 = e3
% 185.81/30.26    (3)  all_56_9 = e2
% 185.81/30.26    (4)   ~ (all_4_2 = e0)
% 185.81/30.26    (5)   ~ (all_6_2 = e1)
% 185.81/30.26    (6)   ~ (e1 = e0)
% 185.81/30.26    (7)   ~ (e3 = e0)
% 185.81/30.26    (8)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.81/30.26         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.81/30.26    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.81/30.26         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.81/30.26    (10)   ~ (e2 = e0)
% 185.81/30.26    (11)   ~ (e3 = e1)
% 185.81/30.26    (12)   ~ (all_6_2 = e2)
% 185.81/30.26    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.26            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.26    (14)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.81/30.26          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.81/30.26    (15)  all_56_11 = e2
% 185.81/30.26    (16)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.81/30.26          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.81/30.26    (17)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.81/30.26          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.81/30.26    (18)   ~ (e3 = e2)
% 185.81/30.26    (19)  op(e3, e3) = e1
% 185.81/30.26    (20)  op(e3, e1) = all_52_8
% 185.81/30.26    (21)  op(e3, e3) = all_4_2
% 185.81/30.26    (22)   ~ (e2 = e1)
% 185.81/30.26  
% 185.81/30.26  Begin of proof
% 185.81/30.26  | 
% 185.81/30.26  | BETA: splitting (8) gives:
% 185.81/30.26  | 
% 185.81/30.26  | Case 1:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (23)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 185.81/30.26  | |           e1)
% 185.81/30.26  | | 
% 185.81/30.26  | | BETA: splitting (23) gives:
% 185.81/30.26  | | 
% 185.81/30.26  | | Case 1:
% 185.81/30.26  | | | 
% 185.81/30.26  | | |   (24)  all_56_9 = e1 & op(e3, e0) = e1
% 185.81/30.26  | | | 
% 185.81/30.26  | | | ALPHA: (24) implies:
% 185.81/30.26  | | |   (25)  all_56_9 = e1
% 185.81/30.26  | | | 
% 185.81/30.26  | | | REF_CLOSE: (4), (6), (7), (9), (10), (11), (13), (14), (16), (18), (19),
% 185.81/30.26  | | |            (20), (21), (22), (25) are inconsistent by sub-proof #1103.
% 185.81/30.26  | | | 
% 185.81/30.26  | | Case 2:
% 185.81/30.26  | | | 
% 185.81/30.26  | | |   (26)  all_56_10 = e1 & op(e2, e0) = e1
% 185.81/30.26  | | | 
% 185.81/30.26  | | | REF_CLOSE: (2), (11), (26) are inconsistent by sub-proof #1486.
% 185.81/30.26  | | | 
% 185.81/30.26  | | End of split
% 185.81/30.26  | | 
% 185.81/30.26  | Case 2:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (27)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.81/30.26  | |           e1)
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (1), (2), (3), (5), (12), (13), (15), (17), (18), (22), (27) are
% 185.81/30.26  | |            inconsistent by sub-proof #811.
% 185.81/30.26  | | 
% 185.81/30.26  | End of split
% 185.81/30.26  | 
% 185.81/30.26  End of proof
% 185.81/30.26  
% 185.81/30.26  Sub-proof #811 shows that the following formulas are inconsistent:
% 185.81/30.26  ----------------------------------------------------------------
% 185.81/30.26    (1)  op(e0, e0) = all_6_2
% 185.81/30.26    (2)  all_56_10 = e3
% 185.81/30.26    (3)  all_56_9 = e2
% 185.81/30.26    (4)   ~ (all_6_2 = e1)
% 185.81/30.26    (5)   ~ (all_6_2 = e2)
% 185.81/30.26    (6)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.81/30.26    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.26    (8)  all_56_11 = e2
% 185.81/30.26    (9)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.81/30.26         (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.81/30.26    (10)   ~ (e3 = e2)
% 185.81/30.26    (11)   ~ (e2 = e1)
% 185.81/30.26  
% 185.81/30.26  Begin of proof
% 185.81/30.26  | 
% 185.81/30.26  | BETA: splitting (6) gives:
% 185.81/30.26  | 
% 185.81/30.26  | Case 1:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (12)  all_56_11 = e1 & op(e1, e0) = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | ALPHA: (12) implies:
% 185.81/30.26  | |   (13)  all_56_11 = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | COMBINE_EQS: (8), (13) imply:
% 185.81/30.26  | |   (14)  e2 = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | SIMP: (14) implies:
% 185.81/30.26  | |   (15)  e2 = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | COMBINE_EQS: (3), (15) imply:
% 185.81/30.26  | |   (16)  all_56_9 = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (1), (2), (5), (7), (9), (10), (11), (13), (16) are inconsistent
% 185.81/30.26  | |            by sub-proof #954.
% 185.81/30.26  | | 
% 185.81/30.26  | Case 2:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (17)  all_56_15 = e1 & op(e0, e0) = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | ALPHA: (17) implies:
% 185.81/30.26  | |   (18)  op(e0, e0) = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (1), (4), (7), (18) are inconsistent by sub-proof #1516.
% 185.81/30.26  | | 
% 185.81/30.26  | End of split
% 185.81/30.26  | 
% 185.81/30.26  End of proof
% 185.81/30.26  
% 185.81/30.26  Sub-proof #812 shows that the following formulas are inconsistent:
% 185.81/30.26  ----------------------------------------------------------------
% 185.81/30.26    (1)  all_56_9 = e2
% 185.81/30.26    (2)  op(e1, e1) = e3
% 185.81/30.26    (3)   ~ (e1 = e0)
% 185.81/30.26    (4)   ~ (e3 = e0)
% 185.81/30.26    (5)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.81/30.26    (6)   ~ (e2 = e0)
% 185.81/30.26    (7)   ~ (e3 = e1)
% 185.81/30.26    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.26    (9)  op(e2, e0) = all_52_13
% 185.81/30.26    (10)   ~ (e3 = e2)
% 185.81/30.26    (11)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.81/30.26          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.81/30.26    (12)  all_56_4 = e0
% 185.81/30.26    (13)   ~ (all_52_13 = e0)
% 185.81/30.26    (14)   ~ (e2 = e1)
% 185.81/30.26    (15)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.81/30.26              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.81/30.26                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.81/30.26                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.81/30.26    (16)  all_56_11 = e1
% 185.81/30.26    (17)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.81/30.26          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.81/30.26  
% 185.81/30.26  Begin of proof
% 185.81/30.26  | 
% 185.81/30.26  | BETA: splitting (5) gives:
% 185.81/30.26  | 
% 185.81/30.26  | Case 1:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (18)  all_56_14 = e3 & op(e0, e1) = e3
% 185.81/30.26  | | 
% 185.81/30.26  | | ALPHA: (18) implies:
% 185.81/30.26  | |   (19)  all_56_14 = e3
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (2), (3), (6), (7), (8), (10), (11), (12), (14), (17), (19) are
% 185.81/30.26  | |            inconsistent by sub-proof #813.
% 185.81/30.26  | | 
% 185.81/30.26  | Case 2:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (20)  all_56_15 = e3 & op(e0, e0) = e3
% 185.81/30.26  | | 
% 185.81/30.26  | | ALPHA: (20) implies:
% 185.81/30.26  | |   (21)  all_56_15 = e3
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (1), (3), (4), (6), (8), (9), (13), (15), (16), (21) are
% 185.81/30.26  | |            inconsistent by sub-proof #1206.
% 185.81/30.26  | | 
% 185.81/30.26  | End of split
% 185.81/30.26  | 
% 185.81/30.26  End of proof
% 185.81/30.26  
% 185.81/30.26  Sub-proof #813 shows that the following formulas are inconsistent:
% 185.81/30.26  ----------------------------------------------------------------
% 185.81/30.26    (1)  op(e1, e1) = e3
% 185.81/30.26    (2)   ~ (e1 = e0)
% 185.81/30.26    (3)   ~ (e2 = e0)
% 185.81/30.26    (4)   ~ (e3 = e1)
% 185.81/30.26    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.26    (6)   ~ (e3 = e2)
% 185.81/30.26    (7)  all_56_14 = e3
% 185.81/30.26    (8)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.81/30.26         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.81/30.26    (9)  all_56_4 = e0
% 185.81/30.26    (10)   ~ (e2 = e1)
% 185.81/30.26    (11)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.81/30.26          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.81/30.26  
% 185.81/30.26  Begin of proof
% 185.81/30.26  | 
% 185.81/30.26  | BETA: splitting (11) gives:
% 185.81/30.26  | 
% 185.81/30.26  | Case 1:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (12)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 185.81/30.26  | |           e1)
% 185.81/30.26  | | 
% 185.81/30.26  | | BETA: splitting (12) gives:
% 185.81/30.26  | | 
% 185.81/30.26  | | Case 1:
% 185.81/30.26  | | | 
% 185.81/30.26  | | |   (13)  all_56_4 = e1 & op(e3, e1) = e1
% 185.81/30.26  | | | 
% 185.81/30.26  | | | ALPHA: (13) implies:
% 185.81/30.26  | | |   (14)  all_56_4 = e1
% 185.81/30.26  | | | 
% 185.81/30.26  | | | REF_CLOSE: (2), (9), (14) are inconsistent by sub-proof #815.
% 185.81/30.26  | | | 
% 185.81/30.26  | | Case 2:
% 185.81/30.26  | | | 
% 185.81/30.26  | | |   (15)  all_56_5 = e1 & op(e2, e1) = e1
% 185.81/30.26  | | | 
% 185.81/30.26  | | | ALPHA: (15) implies:
% 185.81/30.26  | | |   (16)  op(e2, e1) = e1
% 185.81/30.26  | | | 
% 185.81/30.26  | | | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (10), (16) are inconsistent
% 185.81/30.26  | | |            by sub-proof #814.
% 185.81/30.26  | | | 
% 185.81/30.26  | | End of split
% 185.81/30.26  | | 
% 185.81/30.26  | Case 2:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (17)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 185.81/30.26  | |           e1)
% 185.81/30.26  | | 
% 185.81/30.26  | | BETA: splitting (17) gives:
% 185.81/30.26  | | 
% 185.81/30.26  | | Case 1:
% 185.81/30.26  | | | 
% 185.81/30.26  | | |   (18)  all_56_8 = e1 & op(e1, e1) = e1
% 185.81/30.26  | | | 
% 185.81/30.26  | | | ALPHA: (18) implies:
% 185.81/30.26  | | |   (19)  op(e1, e1) = e1
% 185.81/30.26  | | | 
% 185.81/30.26  | | | REF_CLOSE: (1), (4), (5), (19) are inconsistent by sub-proof #1541.
% 185.81/30.26  | | | 
% 185.81/30.26  | | Case 2:
% 185.81/30.26  | | | 
% 185.81/30.26  | | |   (20)  all_56_14 = e1 & op(e0, e1) = e1
% 185.81/30.26  | | | 
% 185.81/30.26  | | | REF_CLOSE: (4), (7), (20) are inconsistent by sub-proof #1369.
% 185.81/30.26  | | | 
% 185.81/30.26  | | End of split
% 185.81/30.26  | | 
% 185.81/30.26  | End of split
% 185.81/30.26  | 
% 185.81/30.26  End of proof
% 185.81/30.26  
% 185.81/30.26  Sub-proof #814 shows that the following formulas are inconsistent:
% 185.81/30.26  ----------------------------------------------------------------
% 185.81/30.26    (1)  op(e1, e1) = e3
% 185.81/30.26    (2)  op(e2, e1) = e1
% 185.81/30.26    (3)   ~ (e2 = e0)
% 185.81/30.26    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.26    (5)   ~ (e3 = e2)
% 185.81/30.26    (6)  all_56_14 = e3
% 185.81/30.26    (7)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 185.81/30.26         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 185.81/30.26    (8)  all_56_4 = e0
% 185.81/30.26    (9)   ~ (e2 = e1)
% 185.81/30.26  
% 185.81/30.26  Begin of proof
% 185.81/30.26  | 
% 185.81/30.26  | BETA: splitting (7) gives:
% 185.81/30.26  | 
% 185.81/30.26  | Case 1:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (10)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 185.81/30.26  | |           e2)
% 185.81/30.26  | | 
% 185.81/30.26  | | BETA: splitting (10) gives:
% 185.81/30.26  | | 
% 185.81/30.26  | | Case 1:
% 185.81/30.26  | | | 
% 185.81/30.26  | | |   (11)  all_56_4 = e2 & op(e3, e1) = e2
% 185.81/30.26  | | | 
% 185.81/30.26  | | | ALPHA: (11) implies:
% 185.81/30.26  | | |   (12)  all_56_4 = e2
% 185.81/30.26  | | | 
% 185.81/30.26  | | | REF_CLOSE: (3), (8), (12) are inconsistent by sub-proof #1394.
% 185.81/30.26  | | | 
% 185.81/30.26  | | Case 2:
% 185.81/30.26  | | | 
% 185.81/30.26  | | |   (13)  all_56_5 = e2 & op(e2, e1) = e2
% 185.81/30.26  | | | 
% 185.81/30.26  | | | ALPHA: (13) implies:
% 185.81/30.26  | | |   (14)  op(e2, e1) = e2
% 185.81/30.26  | | | 
% 185.81/30.26  | | | REF_CLOSE: (2), (4), (9), (14) are inconsistent by sub-proof #1148.
% 185.81/30.26  | | | 
% 185.81/30.26  | | End of split
% 185.81/30.26  | | 
% 185.81/30.26  | Case 2:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (15)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 185.81/30.26  | |           e2)
% 185.81/30.26  | | 
% 185.81/30.26  | | BETA: splitting (15) gives:
% 185.81/30.26  | | 
% 185.81/30.26  | | Case 1:
% 185.81/30.26  | | | 
% 185.81/30.26  | | |   (16)  all_56_8 = e2 & op(e1, e1) = e2
% 185.81/30.26  | | | 
% 185.81/30.26  | | | ALPHA: (16) implies:
% 185.81/30.26  | | |   (17)  op(e1, e1) = e2
% 185.81/30.26  | | | 
% 185.81/30.26  | | | REF_CLOSE: (1), (4), (5), (17) are inconsistent by sub-proof #1164.
% 185.81/30.26  | | | 
% 185.81/30.26  | | Case 2:
% 185.81/30.26  | | | 
% 185.81/30.26  | | |   (18)  all_56_14 = e2 & op(e0, e1) = e2
% 185.81/30.26  | | | 
% 185.81/30.26  | | | ALPHA: (18) implies:
% 185.81/30.26  | | |   (19)  all_56_14 = e2
% 185.81/30.26  | | | 
% 185.81/30.26  | | | REF_CLOSE: (5), (6), (19) are inconsistent by sub-proof #1512.
% 185.81/30.26  | | | 
% 185.81/30.26  | | End of split
% 185.81/30.26  | | 
% 185.81/30.26  | End of split
% 185.81/30.26  | 
% 185.81/30.26  End of proof
% 185.81/30.26  
% 185.81/30.26  Sub-proof #815 shows that the following formulas are inconsistent:
% 185.81/30.26  ----------------------------------------------------------------
% 185.81/30.26    (1)  all_56_4 = e1
% 185.81/30.26    (2)  all_56_4 = e0
% 185.81/30.26    (3)   ~ (e1 = e0)
% 185.81/30.26  
% 185.81/30.26  Begin of proof
% 185.81/30.26  | 
% 185.81/30.26  | COMBINE_EQS: (1), (2) imply:
% 185.81/30.26  |   (4)  e1 = e0
% 185.81/30.26  | 
% 185.81/30.26  | SIMP: (4) implies:
% 185.81/30.26  |   (5)  e1 = e0
% 185.81/30.26  | 
% 185.81/30.26  | REDUCE: (3), (5) imply:
% 185.81/30.26  |   (6)  $false
% 185.81/30.26  | 
% 185.81/30.26  | CLOSE: (6) is inconsistent.
% 185.81/30.26  | 
% 185.81/30.26  End of proof
% 185.81/30.26  
% 185.81/30.26  Sub-proof #816 shows that the following formulas are inconsistent:
% 185.81/30.26  ----------------------------------------------------------------
% 185.81/30.26    (1)  op(e1, e0) = e0
% 185.81/30.26    (2)   ~ (all_52_6 = all_52_14)
% 185.81/30.26    (3)  op(e1, e0) = all_52_14
% 185.81/30.26    (4)  all_54_13 = all_52_7
% 185.81/30.26    (5)   ~ (all_52_6 = all_52_7)
% 185.81/30.26    (6)   ~ (all_52_7 = e0)
% 185.81/30.26    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.26    (8)   ~ (all_52_6 = e2)
% 185.81/30.26    (9)  all_54_9 = all_52_6
% 185.81/30.26    (10)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.81/30.26    (11)   ~ (all_52_7 = e2)
% 185.81/30.26    (12)   ~ (all_52_6 = e3)
% 185.81/30.26    (13)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 185.81/30.26  
% 185.81/30.26  Begin of proof
% 185.81/30.26  | 
% 185.81/30.26  | BETA: splitting (10) gives:
% 185.81/30.26  | 
% 185.81/30.26  | Case 1:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (14)  all_54_13 = e2
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (4), (11), (14) are inconsistent by sub-proof #1185.
% 185.81/30.26  | | 
% 185.81/30.26  | Case 2:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (15)  all_54_13 = e1 | all_54_13 = e0
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (12), (13), (15) are
% 185.81/30.26  | |            inconsistent by sub-proof #817.
% 185.81/30.26  | | 
% 185.81/30.26  | End of split
% 185.81/30.26  | 
% 185.81/30.26  End of proof
% 185.81/30.26  
% 185.81/30.26  Sub-proof #817 shows that the following formulas are inconsistent:
% 185.81/30.26  ----------------------------------------------------------------
% 185.81/30.26    (1)  op(e1, e0) = e0
% 185.81/30.26    (2)   ~ (all_52_6 = all_52_14)
% 185.81/30.26    (3)  op(e1, e0) = all_52_14
% 185.81/30.26    (4)  all_54_13 = all_52_7
% 185.81/30.26    (5)   ~ (all_52_6 = all_52_7)
% 185.81/30.26    (6)   ~ (all_52_7 = e0)
% 185.81/30.26    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.26    (8)   ~ (all_52_6 = e2)
% 185.81/30.26    (9)  all_54_9 = all_52_6
% 185.81/30.26    (10)   ~ (all_52_6 = e3)
% 185.81/30.26    (11)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 185.81/30.26    (12)  all_54_13 = e1 | all_54_13 = e0
% 185.81/30.26  
% 185.81/30.26  Begin of proof
% 185.81/30.26  | 
% 185.81/30.26  | BETA: splitting (12) gives:
% 185.81/30.26  | 
% 185.81/30.26  | Case 1:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (13)  all_54_13 = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | COMBINE_EQS: (4), (13) imply:
% 185.81/30.26  | |   (14)  all_52_7 = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | SIMP: (14) implies:
% 185.81/30.26  | |   (15)  all_52_7 = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | REDUCE: (5), (15) imply:
% 185.81/30.26  | |   (16)   ~ (all_52_6 = e1)
% 185.81/30.26  | | 
% 185.81/30.26  | | BETA: splitting (11) gives:
% 185.81/30.26  | | 
% 185.81/30.26  | | Case 1:
% 185.81/30.26  | | | 
% 185.81/30.26  | | |   (17)  all_54_9 = e3
% 185.81/30.26  | | | 
% 185.81/30.26  | | | REF_CLOSE: (9), (10), (17) are inconsistent by sub-proof #1061.
% 185.81/30.26  | | | 
% 185.81/30.26  | | Case 2:
% 185.81/30.26  | | | 
% 185.81/30.26  | | |   (18)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 185.81/30.26  | | | 
% 185.81/30.26  | | | REF_CLOSE: (1), (2), (3), (7), (8), (9), (16), (18) are inconsistent by
% 185.81/30.26  | | |            sub-proof #1045.
% 185.81/30.26  | | | 
% 185.81/30.26  | | End of split
% 185.81/30.26  | | 
% 185.81/30.26  | Case 2:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (19)  all_54_13 = e0
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (4), (6), (19) are inconsistent by sub-proof #1312.
% 185.81/30.26  | | 
% 185.81/30.26  | End of split
% 185.81/30.26  | 
% 185.81/30.26  End of proof
% 185.81/30.26  
% 185.81/30.26  Sub-proof #818 shows that the following formulas are inconsistent:
% 185.81/30.26  ----------------------------------------------------------------
% 185.81/30.26    (1)  op(e0, e0) = all_6_2
% 185.81/30.26    (2)  op(e1, e1) = e3
% 185.81/30.26    (3)   ~ (e3 = e1)
% 185.81/30.26    (4)   ~ (all_6_2 = e2)
% 185.81/30.26    (5)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.81/30.26    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.26    (7)  all_56_12 = e3
% 185.81/30.26    (8)   ~ (e3 = e2)
% 185.81/30.26    (9)   ~ (all_52_7 = e2)
% 185.81/30.26    (10)   ~ (e2 = e1)
% 185.81/30.26    (11)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.81/30.26          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.81/30.26            e2)
% 185.81/30.26    (12)  op(e0, e2) = all_52_7
% 185.81/30.26  
% 185.81/30.26  Begin of proof
% 185.81/30.26  | 
% 185.81/30.26  | BETA: splitting (5) gives:
% 185.81/30.26  | 
% 185.81/30.26  | Case 1:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (13)  all_56_8 = e1 & op(e1, e1) = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | ALPHA: (13) implies:
% 185.81/30.26  | |   (14)  op(e1, e1) = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (2), (3), (6), (14) are inconsistent by sub-proof #1541.
% 185.81/30.26  | | 
% 185.81/30.26  | Case 2:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (15)  all_56_14 = e1 & op(e0, e1) = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | ALPHA: (15) implies:
% 185.81/30.26  | |   (16)  all_56_14 = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (1), (4), (6), (7), (8), (9), (10), (11), (12), (16) are
% 185.81/30.26  | |            inconsistent by sub-proof #853.
% 185.81/30.26  | | 
% 185.81/30.26  | End of split
% 185.81/30.26  | 
% 185.81/30.26  End of proof
% 185.81/30.26  
% 185.81/30.26  Sub-proof #819 shows that the following formulas are inconsistent:
% 185.81/30.26  ----------------------------------------------------------------
% 185.81/30.26    (1)  all_56_10 = e3
% 185.81/30.26    (2)  all_56_9 = e2
% 185.81/30.26    (3)   ~ (e3 = e0)
% 185.81/30.26    (4)   ~ (e2 = e0)
% 185.81/30.26    (5)   ~ (e3 = e1)
% 185.81/30.26    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.26    (7)  all_56_1 = e3
% 185.81/30.26    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.81/30.26         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.81/30.26    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.81/30.26         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.81/30.26    (10)   ~ (e3 = e2)
% 185.81/30.26    (11)  op(e3, e3) = e1
% 185.81/30.26    (12)  op(e3, e1) = e0
% 185.81/30.26    (13)  op(e3, e1) = all_52_8
% 185.81/30.26    (14)  all_56_4 = e0
% 185.81/30.26    (15)   ~ (e2 = e1)
% 185.81/30.26    (16)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.81/30.26  
% 185.81/30.26  Begin of proof
% 185.81/30.26  | 
% 185.81/30.26  | BETA: splitting (16) gives:
% 185.81/30.26  | 
% 185.81/30.26  | Case 1:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (17)  all_56_9 = e1 & op(e3, e0) = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | ALPHA: (17) implies:
% 185.81/30.26  | |   (18)  all_56_9 = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (3), (4), (5), (6), (8), (9), (10), (11), (12), (13), (14), (15),
% 185.81/30.26  | |            (18) are inconsistent by sub-proof #1375.
% 185.81/30.26  | | 
% 185.81/30.26  | Case 2:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (19)  all_56_10 = e1 & op(e2, e0) = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | ALPHA: (19) implies:
% 185.81/30.26  | |   (20)  all_56_10 = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | COMBINE_EQS: (1), (20) imply:
% 185.81/30.26  | |   (21)  e3 = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | COMBINE_EQS: (7), (21) imply:
% 185.81/30.26  | |   (22)  all_56_1 = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (2), (3), (5), (6), (8), (10), (11), (12), (13), (22) are
% 185.81/30.26  | |            inconsistent by sub-proof #1399.
% 185.81/30.26  | | 
% 185.81/30.26  | End of split
% 185.81/30.26  | 
% 185.81/30.26  End of proof
% 185.81/30.26  
% 185.81/30.26  Sub-proof #820 shows that the following formulas are inconsistent:
% 185.81/30.26  ----------------------------------------------------------------
% 185.81/30.26    (1)  all_54_9 = e1 | all_54_9 = e0
% 185.81/30.26    (2)  all_54_9 = all_46_1
% 185.81/30.26    (3)   ~ (all_46_1 = e1)
% 185.81/30.26    (4)   ~ (all_46_1 = e0)
% 185.81/30.26  
% 185.81/30.26  Begin of proof
% 185.81/30.26  | 
% 185.81/30.26  | BETA: splitting (1) gives:
% 185.81/30.26  | 
% 185.81/30.26  | Case 1:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (5)  all_54_9 = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | COMBINE_EQS: (2), (5) imply:
% 185.81/30.26  | |   (6)  all_46_1 = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | SIMP: (6) implies:
% 185.81/30.26  | |   (7)  all_46_1 = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | REDUCE: (3), (7) imply:
% 185.81/30.26  | |   (8)  $false
% 185.81/30.26  | | 
% 185.81/30.26  | | CLOSE: (8) is inconsistent.
% 185.81/30.26  | | 
% 185.81/30.26  | Case 2:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (9)  all_54_9 = e0
% 185.81/30.26  | | 
% 185.81/30.26  | | COMBINE_EQS: (2), (9) imply:
% 185.81/30.26  | |   (10)  all_46_1 = e0
% 185.81/30.26  | | 
% 185.81/30.26  | | SIMP: (10) implies:
% 185.81/30.26  | |   (11)  all_46_1 = e0
% 185.81/30.26  | | 
% 185.81/30.26  | | REDUCE: (4), (11) imply:
% 185.81/30.26  | |   (12)  $false
% 185.81/30.26  | | 
% 185.81/30.26  | | CLOSE: (12) is inconsistent.
% 185.81/30.26  | | 
% 185.81/30.26  | End of split
% 185.81/30.26  | 
% 185.81/30.26  End of proof
% 185.81/30.26  
% 185.81/30.26  Sub-proof #821 shows that the following formulas are inconsistent:
% 185.81/30.26  ----------------------------------------------------------------
% 185.81/30.26    (1)  all_56_10 = e0 & op(e2, e0) = e0
% 185.81/30.26    (2)  all_56_10 = e2
% 185.81/30.26    (3)   ~ (e2 = e0)
% 185.81/30.26  
% 185.81/30.26  Begin of proof
% 185.81/30.26  | 
% 185.81/30.26  | ALPHA: (1) implies:
% 185.81/30.26  |   (4)  all_56_10 = e0
% 185.81/30.26  | 
% 185.81/30.26  | COMBINE_EQS: (2), (4) imply:
% 185.81/30.26  |   (5)  e2 = e0
% 185.81/30.26  | 
% 185.81/30.26  | SIMP: (5) implies:
% 185.81/30.26  |   (6)  e2 = e0
% 185.81/30.26  | 
% 185.81/30.26  | REDUCE: (3), (6) imply:
% 185.81/30.26  |   (7)  $false
% 185.81/30.26  | 
% 185.81/30.26  | CLOSE: (7) is inconsistent.
% 185.81/30.26  | 
% 185.81/30.26  End of proof
% 185.81/30.26  
% 185.81/30.26  Sub-proof #822 shows that the following formulas are inconsistent:
% 185.81/30.26  ----------------------------------------------------------------
% 185.81/30.26    (1)  all_56_6 = e0
% 185.81/30.26    (2)   ~ (e3 = e0)
% 185.81/30.26    (3)   ~ (e2 = e0)
% 185.81/30.26    (4)   ~ (e3 = e1)
% 185.81/30.26    (5)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.81/30.26    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.26    (7)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.81/30.26         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.81/30.26    (8)  op(e0, e1) = e2
% 185.81/30.26    (9)   ~ (e3 = e2)
% 185.81/30.26    (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.81/30.26          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.81/30.26    (11)   ~ (e2 = e1)
% 185.81/30.26    (12)  all_56_11 = e1
% 185.81/30.26  
% 185.81/30.26  Begin of proof
% 185.81/30.26  | 
% 185.81/30.26  | BETA: splitting (5) gives:
% 185.81/30.26  | 
% 185.81/30.26  | Case 1:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (13)  all_56_8 = e1 & op(e1, e1) = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | ALPHA: (13) implies:
% 185.81/30.26  | |   (14)  op(e1, e1) = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9), (10), (11), (12), (14) are
% 185.81/30.26  | |            inconsistent by sub-proof #823.
% 185.81/30.26  | | 
% 185.81/30.26  | Case 2:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (15)  all_56_14 = e1 & op(e0, e1) = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | ALPHA: (15) implies:
% 185.81/30.26  | |   (16)  op(e0, e1) = e1
% 185.81/30.26  | | 
% 185.81/30.26  | | REF_CLOSE: (6), (8), (11), (16) are inconsistent by sub-proof #862.
% 185.81/30.26  | | 
% 185.81/30.26  | End of split
% 185.81/30.26  | 
% 185.81/30.26  End of proof
% 185.81/30.26  
% 185.81/30.26  Sub-proof #823 shows that the following formulas are inconsistent:
% 185.81/30.26  ----------------------------------------------------------------
% 185.81/30.26    (1)  all_56_6 = e0
% 185.81/30.26    (2)   ~ (e3 = e0)
% 185.81/30.26    (3)   ~ (e2 = e0)
% 185.81/30.26    (4)   ~ (e3 = e1)
% 185.81/30.26    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.26           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.26    (6)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.81/30.26         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.81/30.26    (7)   ~ (e3 = e2)
% 185.81/30.26    (8)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.81/30.26         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.81/30.26    (9)   ~ (e2 = e1)
% 185.81/30.26    (10)  all_56_11 = e1
% 185.81/30.26    (11)  op(e1, e1) = e1
% 185.81/30.26  
% 185.81/30.26  Begin of proof
% 185.81/30.26  | 
% 185.81/30.26  | BETA: splitting (8) gives:
% 185.81/30.26  | 
% 185.81/30.26  | Case 1:
% 185.81/30.26  | | 
% 185.81/30.26  | |   (12)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 185.81/30.26  | |           e3)
% 185.81/30.26  | | 
% 185.81/30.26  | | BETA: splitting (12) gives:
% 185.81/30.26  | | 
% 185.81/30.26  | | Case 1:
% 185.81/30.26  | | | 
% 185.81/30.26  | | |   (13)  all_56_6 = e3 & op(e1, e3) = e3
% 185.81/30.26  | | | 
% 185.81/30.26  | | | ALPHA: (13) implies:
% 185.81/30.26  | | |   (14)  all_56_6 = e3
% 185.81/30.26  | | | 
% 185.81/30.26  | | | REF_CLOSE: (1), (2), (14) are inconsistent by sub-proof #1556.
% 185.81/30.26  | | | 
% 185.81/30.26  | | Case 2:
% 185.81/30.26  | | | 
% 185.81/30.26  | | |   (15)  all_56_7 = e3 & op(e1, e2) = e3
% 185.81/30.26  | | | 
% 185.81/30.26  | | | ALPHA: (15) implies:
% 185.81/30.26  | | |   (16)  all_56_7 = e3
% 185.81/30.26  | | | 
% 185.81/30.26  | | | REF_CLOSE: (1), (3), (5), (6), (7), (9), (10), (11), (16) are inconsistent
% 185.81/30.26  | | |            by sub-proof #824.
% 185.81/30.26  | | | 
% 185.81/30.26  | | End of split
% 185.81/30.26  | | 
% 185.81/30.26  | Case 2:
% 185.81/30.26  | | 
% 185.81/30.27  | |   (17)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 185.81/30.27  | |           e3)
% 185.81/30.27  | | 
% 185.81/30.27  | | BETA: splitting (17) gives:
% 185.81/30.27  | | 
% 185.81/30.27  | | Case 1:
% 185.81/30.27  | | | 
% 185.81/30.27  | | |   (18)  all_56_8 = e3 & op(e1, e1) = e3
% 185.81/30.27  | | | 
% 185.81/30.27  | | | ALPHA: (18) implies:
% 185.81/30.27  | | |   (19)  op(e1, e1) = e3
% 185.81/30.27  | | | 
% 185.81/30.27  | | | REF_CLOSE: (4), (5), (11), (19) are inconsistent by sub-proof #1541.
% 185.81/30.27  | | | 
% 185.81/30.27  | | Case 2:
% 185.81/30.27  | | | 
% 185.81/30.27  | | |   (20)  all_56_11 = e3 & op(e1, e0) = e3
% 185.81/30.27  | | | 
% 185.81/30.27  | | | ALPHA: (20) implies:
% 185.81/30.27  | | |   (21)  all_56_11 = e3
% 185.81/30.27  | | | 
% 185.81/30.27  | | | REF_CLOSE: (4), (10), (21) are inconsistent by sub-proof #1209.
% 185.81/30.27  | | | 
% 185.81/30.27  | | End of split
% 185.81/30.27  | | 
% 185.81/30.27  | End of split
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #824 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)  all_56_6 = e0
% 185.81/30.27    (2)   ~ (e2 = e0)
% 185.81/30.27    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.27    (4)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.81/30.27         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.81/30.27    (5)   ~ (e3 = e2)
% 185.81/30.27    (6)   ~ (e2 = e1)
% 185.81/30.27    (7)  all_56_7 = e3
% 185.81/30.27    (8)  all_56_11 = e1
% 185.81/30.27    (9)  op(e1, e1) = e1
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | BETA: splitting (4) gives:
% 185.81/30.27  | 
% 185.81/30.27  | Case 1:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (10)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 185.81/30.27  | |           e2)
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (1), (2), (5), (7), (10) are inconsistent by sub-proof #825.
% 185.81/30.27  | | 
% 185.81/30.27  | Case 2:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (11)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 185.81/30.27  | |           e2)
% 185.81/30.27  | | 
% 185.81/30.27  | | BETA: splitting (11) gives:
% 185.81/30.27  | | 
% 185.81/30.27  | | Case 1:
% 185.81/30.27  | | | 
% 185.81/30.27  | | |   (12)  all_56_8 = e2 & op(e1, e1) = e2
% 185.81/30.27  | | | 
% 185.81/30.27  | | | ALPHA: (12) implies:
% 185.81/30.27  | | |   (13)  op(e1, e1) = e2
% 185.81/30.27  | | | 
% 185.81/30.27  | | | REF_CLOSE: (3), (6), (9), (13) are inconsistent by sub-proof #1473.
% 185.81/30.27  | | | 
% 185.81/30.27  | | Case 2:
% 185.81/30.27  | | | 
% 185.81/30.27  | | |   (14)  all_56_11 = e2 & op(e1, e0) = e2
% 185.81/30.27  | | | 
% 185.81/30.27  | | | ALPHA: (14) implies:
% 185.81/30.27  | | |   (15)  all_56_11 = e2
% 185.81/30.27  | | | 
% 185.81/30.27  | | | REF_CLOSE: (6), (8), (15) are inconsistent by sub-proof #1229.
% 185.81/30.27  | | | 
% 185.81/30.27  | | End of split
% 185.81/30.27  | | 
% 185.81/30.27  | End of split
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #825 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)  all_56_6 = e0
% 185.81/30.27    (2)   ~ (e2 = e0)
% 185.81/30.27    (3)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2)
% 185.81/30.27    (4)   ~ (e3 = e2)
% 185.81/30.27    (5)  all_56_7 = e3
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | BETA: splitting (3) gives:
% 185.81/30.27  | 
% 185.81/30.27  | Case 1:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (6)  all_56_6 = e2 & op(e1, e3) = e2
% 185.81/30.27  | | 
% 185.81/30.27  | | ALPHA: (6) implies:
% 185.81/30.27  | |   (7)  all_56_6 = e2
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (1), (2), (7) are inconsistent by sub-proof #1592.
% 185.81/30.27  | | 
% 185.81/30.27  | Case 2:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (8)  all_56_7 = e2 & op(e1, e2) = e2
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (4), (5), (8) are inconsistent by sub-proof #1072.
% 185.81/30.27  | | 
% 185.81/30.27  | End of split
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #826 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)   ~ (all_52_12 = e2)
% 185.81/30.27    (2)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 185.81/30.27    (3)   ~ (all_52_12 = e1)
% 185.81/30.27    (4)  all_54_3 = all_52_12
% 185.81/30.27    (5)   ~ (all_52_12 = e0)
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | BETA: splitting (2) gives:
% 185.81/30.27  | 
% 185.81/30.27  | Case 1:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (6)  all_54_3 = e2
% 185.81/30.27  | | 
% 185.81/30.27  | | COMBINE_EQS: (4), (6) imply:
% 185.81/30.27  | |   (7)  all_52_12 = e2
% 185.81/30.27  | | 
% 185.81/30.27  | | REDUCE: (1), (7) imply:
% 185.81/30.27  | |   (8)  $false
% 185.81/30.27  | | 
% 185.81/30.27  | | CLOSE: (8) is inconsistent.
% 185.81/30.27  | | 
% 185.81/30.27  | Case 2:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (9)  all_54_3 = e1 | all_54_3 = e0
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #827.
% 185.81/30.27  | | 
% 185.81/30.27  | End of split
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #827 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)  all_54_3 = e1 | all_54_3 = e0
% 185.81/30.27    (2)  all_54_3 = all_52_12
% 185.81/30.27    (3)   ~ (all_52_12 = e1)
% 185.81/30.27    (4)   ~ (all_52_12 = e0)
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | BETA: splitting (1) gives:
% 185.81/30.27  | 
% 185.81/30.27  | Case 1:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (5)  all_54_3 = e1
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #829.
% 185.81/30.27  | | 
% 185.81/30.27  | Case 2:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (6)  all_54_3 = e0
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #828.
% 185.81/30.27  | | 
% 185.81/30.27  | End of split
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #828 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)  all_54_3 = all_52_12
% 185.81/30.27    (2)  all_54_3 = e0
% 185.81/30.27    (3)   ~ (all_52_12 = e0)
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | COMBINE_EQS: (1), (2) imply:
% 185.81/30.27  |   (4)  all_52_12 = e0
% 185.81/30.27  | 
% 185.81/30.27  | SIMP: (4) implies:
% 185.81/30.27  |   (5)  all_52_12 = e0
% 185.81/30.27  | 
% 185.81/30.27  | REDUCE: (3), (5) imply:
% 185.81/30.27  |   (6)  $false
% 185.81/30.27  | 
% 185.81/30.27  | CLOSE: (6) is inconsistent.
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #829 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)  all_54_3 = all_52_12
% 185.81/30.27    (2)  all_54_3 = e1
% 185.81/30.27    (3)   ~ (all_52_12 = e1)
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | COMBINE_EQS: (1), (2) imply:
% 185.81/30.27  |   (4)  all_52_12 = e1
% 185.81/30.27  | 
% 185.81/30.27  | SIMP: (4) implies:
% 185.81/30.27  |   (5)  all_52_12 = e1
% 185.81/30.27  | 
% 185.81/30.27  | REDUCE: (3), (5) imply:
% 185.81/30.27  |   (6)  $false
% 185.81/30.27  | 
% 185.81/30.27  | CLOSE: (6) is inconsistent.
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #830 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)  op(e2, e3) = e3
% 185.81/30.27    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.27    (3)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 185.81/30.27             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.81/30.27           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.81/30.27             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 185.81/30.27           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 185.81/30.27           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 185.81/30.27           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 185.81/30.27           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 185.81/30.27           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 185.81/30.27           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.81/30.27             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 185.81/30.27           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.81/30.27           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 185.81/30.27    (4)   ~ (all_52_7 = e2)
% 185.81/30.27    (5)  op(e0, e2) = all_52_7
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | BETA: splitting (3) gives:
% 185.81/30.27  | 
% 185.81/30.27  | Case 1:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (6)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4
% 185.81/30.27  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 185.81/30.27  | |          e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 &
% 185.81/30.27  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 185.81/30.27  | |        all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 185.81/30.27  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 185.81/30.27  | |        $i(all_57_21) & $i(all_57_29)
% 185.81/30.27  | | 
% 185.81/30.27  | | ALPHA: (6) implies:
% 185.81/30.27  | |   (7)   ~ (all_57_4 = e3)
% 185.81/30.27  | |   (8)  op(e2, e3) = all_57_19
% 185.81/30.27  | |   (9)  op(e2, all_57_19) = all_57_4
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (1), (2), (7), (8), (9) are inconsistent by sub-proof #1282.
% 185.81/30.27  | | 
% 185.81/30.27  | Case 2:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (10)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~
% 185.81/30.27  | |         (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.81/30.27  | |         (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20)
% 185.81/30.27  | |         = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 185.81/30.27  | |         op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 &
% 185.81/30.27  | |         op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.81/30.27  | |         $i(all_57_19) & $i(all_57_20) & $i(all_57_29)
% 185.81/30.27  | | 
% 185.81/30.27  | | ALPHA: (10) implies:
% 185.81/30.27  | |   (11)  op(e0, e2) = e2
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (2), (4), (5), (11) are inconsistent by sub-proof #1613.
% 185.81/30.27  | | 
% 185.81/30.27  | End of split
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #831 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)  op(e2, e3) = e3
% 185.81/30.27    (2)   ~ (e1 = e0)
% 185.81/30.27    (3)   ~ (e3 = e0)
% 185.81/30.27    (4)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 185.81/30.27    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.27    (6)  op(e2, e2) = e1
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | BETA: splitting (4) gives:
% 185.81/30.27  | 
% 185.81/30.27  | Case 1:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (7)  all_56_2 = e0 & op(e2, e3) = e0
% 185.81/30.27  | | 
% 185.81/30.27  | | ALPHA: (7) implies:
% 185.81/30.27  | |   (8)  op(e2, e3) = e0
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1596.
% 185.81/30.27  | | 
% 185.81/30.27  | Case 2:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (9)  all_56_3 = e0 & op(e2, e2) = e0
% 185.81/30.27  | | 
% 185.81/30.27  | | ALPHA: (9) implies:
% 185.81/30.27  | |   (10)  op(e2, e2) = e0
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (2), (5), (6), (10) are inconsistent by sub-proof #1310.
% 185.81/30.27  | | 
% 185.81/30.27  | End of split
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #832 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)  op(e0, e0) = all_6_2
% 185.81/30.27    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.81/30.27         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.81/30.27    (3)  op(e1, e1) = e3
% 185.81/30.27    (4)   ~ (e1 = e0)
% 185.81/30.27    (5)  op(e1, e2) = all_46_1
% 185.81/30.27    (6)   ~ (e3 = e0)
% 185.81/30.27    (7)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.81/30.27         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.81/30.27    (8)   ~ (e2 = e0)
% 185.81/30.27    (9)   ~ (all_52_6 = e1)
% 185.81/30.27    (10)   ~ (e3 = e1)
% 185.81/30.27    (11)   ~ (all_6_2 = e2)
% 185.81/30.27    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.27            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.27    (13)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.81/30.27    (14)   ~ (all_46_1 = e0)
% 185.81/30.27    (15)  op(e1, e2) = all_52_6
% 185.81/30.27    (16)   ~ (e2 = e1)
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | BETA: splitting (13) gives:
% 185.81/30.27  | 
% 185.81/30.27  | Case 1:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (17)  all_56_11 = e2 & op(e1, e0) = e2
% 185.81/30.27  | | 
% 185.81/30.27  | | ALPHA: (17) implies:
% 185.81/30.27  | |   (18)  all_56_11 = e2
% 185.81/30.27  | | 
% 185.81/30.27  | | BETA: splitting (7) gives:
% 185.81/30.27  | | 
% 185.81/30.27  | | Case 1:
% 185.81/30.27  | | | 
% 185.81/30.27  | | |   (19)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 185.81/30.27  | | |           e0)
% 185.81/30.27  | | | 
% 185.81/30.27  | | | BETA: splitting (19) gives:
% 185.81/30.27  | | | 
% 185.81/30.27  | | | Case 1:
% 185.81/30.27  | | | | 
% 185.81/30.27  | | | |   (20)  all_56_6 = e0 & op(e1, e3) = e0
% 185.81/30.27  | | | | 
% 185.81/30.27  | | | | ALPHA: (20) implies:
% 185.81/30.27  | | | |   (21)  op(e1, e3) = e0
% 185.81/30.27  | | | | 
% 185.81/30.27  | | | | BETA: splitting (2) gives:
% 185.81/30.27  | | | | 
% 185.81/30.27  | | | | Case 1:
% 185.81/30.27  | | | | | 
% 185.81/30.27  | | | | |   (22)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1,
% 185.81/30.27  | | | | |             e2) = e1)
% 185.81/30.27  | | | | | 
% 185.81/30.27  | | | | | REF_CLOSE: (4), (9), (12), (15), (21), (22) are inconsistent by
% 185.81/30.27  | | | | |            sub-proof #833.
% 185.81/30.27  | | | | | 
% 185.81/30.27  | | | | Case 2:
% 185.81/30.27  | | | | | 
% 185.81/30.27  | | | | |   (23)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1,
% 185.81/30.27  | | | | |             e0) = e1)
% 185.81/30.27  | | | | | 
% 185.81/30.27  | | | | | BETA: splitting (23) gives:
% 185.81/30.27  | | | | | 
% 185.81/30.27  | | | | | Case 1:
% 185.81/30.27  | | | | | | 
% 185.81/30.27  | | | | | |   (24)  all_56_8 = e1 & op(e1, e1) = e1
% 185.81/30.27  | | | | | | 
% 185.81/30.27  | | | | | | ALPHA: (24) implies:
% 185.81/30.27  | | | | | |   (25)  op(e1, e1) = e1
% 185.81/30.27  | | | | | | 
% 185.81/30.27  | | | | | | REF_CLOSE: (3), (10), (12), (25) are inconsistent by sub-proof
% 185.81/30.27  | | | | | |            #1541.
% 185.81/30.27  | | | | | | 
% 185.81/30.27  | | | | | Case 2:
% 185.81/30.27  | | | | | | 
% 185.81/30.27  | | | | | |   (26)  all_56_11 = e1 & op(e1, e0) = e1
% 185.81/30.27  | | | | | | 
% 185.81/30.27  | | | | | | ALPHA: (26) implies:
% 185.81/30.27  | | | | | |   (27)  all_56_11 = e1
% 185.81/30.27  | | | | | | 
% 185.81/30.27  | | | | | | REF_CLOSE: (16), (18), (27) are inconsistent by sub-proof #1229.
% 185.81/30.27  | | | | | | 
% 185.81/30.27  | | | | | End of split
% 185.81/30.27  | | | | | 
% 185.81/30.27  | | | | End of split
% 185.81/30.27  | | | | 
% 185.81/30.27  | | | Case 2:
% 185.81/30.27  | | | | 
% 185.81/30.27  | | | |   (28)  all_56_7 = e0 & op(e1, e2) = e0
% 185.81/30.27  | | | | 
% 185.81/30.27  | | | | ALPHA: (28) implies:
% 185.81/30.27  | | | |   (29)  op(e1, e2) = e0
% 185.81/30.27  | | | | 
% 185.81/30.27  | | | | REF_CLOSE: (5), (12), (14), (29) are inconsistent by sub-proof #836.
% 185.81/30.27  | | | | 
% 185.81/30.27  | | | End of split
% 185.81/30.27  | | | 
% 185.81/30.27  | | Case 2:
% 185.81/30.27  | | | 
% 185.81/30.27  | | |   (30)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.81/30.27  | | |           e0)
% 185.81/30.27  | | | 
% 185.81/30.27  | | | BETA: splitting (30) gives:
% 185.81/30.27  | | | 
% 185.81/30.27  | | | Case 1:
% 185.81/30.27  | | | | 
% 185.81/30.27  | | | |   (31)  all_56_8 = e0 & op(e1, e1) = e0
% 185.81/30.27  | | | | 
% 185.81/30.27  | | | | ALPHA: (31) implies:
% 185.81/30.27  | | | |   (32)  op(e1, e1) = e0
% 185.81/30.27  | | | | 
% 185.81/30.27  | | | | REF_CLOSE: (3), (6), (12), (32) are inconsistent by sub-proof #1252.
% 185.81/30.27  | | | | 
% 185.81/30.27  | | | Case 2:
% 185.81/30.27  | | | | 
% 185.81/30.27  | | | |   (33)  all_56_11 = e0 & op(e1, e0) = e0
% 185.81/30.27  | | | | 
% 185.81/30.27  | | | | REF_CLOSE: (8), (18), (33) are inconsistent by sub-proof #1451.
% 185.81/30.27  | | | | 
% 185.81/30.27  | | | End of split
% 185.81/30.27  | | | 
% 185.81/30.27  | | End of split
% 185.81/30.27  | | 
% 185.81/30.27  | Case 2:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (34)  all_56_15 = e2 & op(e0, e0) = e2
% 185.81/30.27  | | 
% 185.81/30.27  | | ALPHA: (34) implies:
% 185.81/30.27  | |   (35)  op(e0, e0) = e2
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (1), (11), (12), (35) are inconsistent by sub-proof #1511.
% 185.81/30.27  | | 
% 185.81/30.27  | End of split
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #833 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)  op(e1, e3) = e0
% 185.81/30.27    (2)   ~ (e1 = e0)
% 185.81/30.27    (3)   ~ (all_52_6 = e1)
% 185.81/30.27    (4)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1)
% 185.81/30.27    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.27    (6)  op(e1, e2) = all_52_6
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | BETA: splitting (4) gives:
% 185.81/30.27  | 
% 185.81/30.27  | Case 1:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (7)  all_56_6 = e1 & op(e1, e3) = e1
% 185.81/30.27  | | 
% 185.81/30.27  | | ALPHA: (7) implies:
% 185.81/30.27  | |   (8)  op(e1, e3) = e1
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1251.
% 185.81/30.27  | | 
% 185.81/30.27  | Case 2:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (9)  all_56_7 = e1 & op(e1, e2) = e1
% 185.81/30.27  | | 
% 185.81/30.27  | | ALPHA: (9) implies:
% 185.81/30.27  | |   (10)  op(e1, e2) = e1
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (3), (5), (6), (10) are inconsistent by sub-proof #834.
% 185.81/30.27  | | 
% 185.81/30.27  | End of split
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #834 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.27    (2)  op(e1, e2) = all_52_6
% 185.81/30.27    (3)  op(e1, e2) = e1
% 185.81/30.27    (4)   ~ (all_52_6 = e1)
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | GROUND_INST: instantiating (1) with all_52_6, e1, e2, e1, simplifying with
% 185.81/30.27  |              (2), (3) gives:
% 185.81/30.27  |   (5)  all_52_6 = e1
% 185.81/30.27  | 
% 185.81/30.27  | REDUCE: (4), (5) imply:
% 185.81/30.27  |   (6)  $false
% 185.81/30.27  | 
% 185.81/30.27  | CLOSE: (6) is inconsistent.
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #835 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.81/30.27    (2)  op(e1, e1) = e3
% 185.81/30.27    (3)   ~ (e1 = e0)
% 185.81/30.27    (4)   ~ (e3 = e0)
% 185.81/30.27    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.27    (6)  all_56_11 = e1
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | BETA: splitting (1) gives:
% 185.81/30.27  | 
% 185.81/30.27  | Case 1:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (7)  all_56_8 = e0 & op(e1, e1) = e0
% 185.81/30.27  | | 
% 185.81/30.27  | | ALPHA: (7) implies:
% 185.81/30.27  | |   (8)  op(e1, e1) = e0
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1252.
% 185.81/30.27  | | 
% 185.81/30.27  | Case 2:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (9)  all_56_11 = e0 & op(e1, e0) = e0
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (3), (6), (9) are inconsistent by sub-proof #1207.
% 185.81/30.27  | | 
% 185.81/30.27  | End of split
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #836 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.27    (2)  op(e1, e2) = all_46_1
% 185.81/30.27    (3)  op(e1, e2) = e0
% 185.81/30.27    (4)   ~ (all_46_1 = e0)
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | GROUND_INST: instantiating (1) with e0, all_46_1, e2, e1, simplifying with
% 185.81/30.27  |              (2), (3) gives:
% 185.81/30.27  |   (5)  all_46_1 = e0
% 185.81/30.27  | 
% 185.81/30.27  | REDUCE: (4), (5) imply:
% 185.81/30.27  |   (6)  $false
% 185.81/30.27  | 
% 185.81/30.27  | CLOSE: (6) is inconsistent.
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #837 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)  op(e0, e0) = all_6_2
% 185.81/30.27    (2)  op(e0, e1) = e1
% 185.81/30.27    (3)   ~ (all_6_2 = e2)
% 185.81/30.27    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.27    (5)   ~ (e2 = e1)
% 185.81/30.27    (6)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | BETA: splitting (6) gives:
% 185.81/30.27  | 
% 185.81/30.27  | Case 1:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (7)  all_56_14 = e2 & op(e0, e1) = e2
% 185.81/30.27  | | 
% 185.81/30.27  | | ALPHA: (7) implies:
% 185.81/30.27  | |   (8)  op(e0, e1) = e2
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #862.
% 185.81/30.27  | | 
% 185.81/30.27  | Case 2:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (9)  all_56_15 = e2 & op(e0, e0) = e2
% 185.81/30.27  | | 
% 185.81/30.27  | | ALPHA: (9) implies:
% 185.81/30.27  | |   (10)  op(e0, e0) = e2
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #1511.
% 185.81/30.27  | | 
% 185.81/30.27  | End of split
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #838 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)   ~ (all_52_14 = e0)
% 185.81/30.27    (2)  op(e1, e3) = all_52_2
% 185.81/30.27    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.27    (4)  all_54_11 = all_52_14
% 185.81/30.27    (5)  op(e1, e3) = e1
% 185.81/30.27    (6)  all_54_11 = e1 | all_54_11 = e0
% 185.81/30.27    (7)   ~ (all_52_2 = all_52_14)
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | BETA: splitting (6) gives:
% 185.81/30.27  | 
% 185.81/30.27  | Case 1:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (8)  all_54_11 = e1
% 185.81/30.27  | | 
% 185.81/30.27  | | COMBINE_EQS: (4), (8) imply:
% 185.81/30.27  | |   (9)  all_52_14 = e1
% 185.81/30.27  | | 
% 185.81/30.27  | | SIMP: (9) implies:
% 185.81/30.27  | |   (10)  all_52_14 = e1
% 185.81/30.27  | | 
% 185.81/30.27  | | REDUCE: (7), (10) imply:
% 185.81/30.27  | |   (11)   ~ (all_52_2 = e1)
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (2), (3), (5), (11) are inconsistent by sub-proof #1597.
% 185.81/30.27  | | 
% 185.81/30.27  | Case 2:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (12)  all_54_11 = e0
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (1), (4), (12) are inconsistent by sub-proof #1329.
% 185.81/30.27  | | 
% 185.81/30.27  | End of split
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #839 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)  op(e3, e0) = all_52_12
% 185.81/30.27    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.27    (3)   ~ (all_52_12 = e3)
% 185.81/30.27    (4)   ~ (all_52_4 = e2)
% 185.81/30.27    (5)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 185.81/30.27             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.81/30.27           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.81/30.27             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.81/30.27           all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 185.81/30.27           & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.81/30.27           $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2
% 185.81/30.27           & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.81/30.27           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.81/30.27             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.81/30.27             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 185.81/30.27           op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 185.81/30.27           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.81/30.27           $i(all_57_29))
% 185.81/30.27    (6)  op(e3, e2) = all_52_4
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | BETA: splitting (5) gives:
% 185.81/30.27  | 
% 185.81/30.27  | Case 1:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (7)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0
% 185.81/30.27  | |          = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 =
% 185.81/30.27  | |          e0) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 &
% 185.81/30.27  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.81/30.27  | |        all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) =
% 185.81/30.27  | |        e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.81/30.27  | |        $i(all_57_17) & $i(all_57_28)
% 185.81/30.27  | | 
% 185.81/30.27  | | ALPHA: (7) implies:
% 185.81/30.27  | |   (8)  op(e3, e0) = e3
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1615.
% 185.81/30.27  | | 
% 185.81/30.27  | Case 2:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (9)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5
% 185.81/30.27  | |          = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 185.81/30.27  | |          e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.81/30.27  | |          all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) =
% 185.81/30.27  | |        e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 185.81/30.27  | |        all_57_21 & $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.81/30.27  | |        $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 185.81/30.27  | | 
% 185.81/30.27  | | ALPHA: (9) implies:
% 185.81/30.27  | |   (10)  op(e3, e2) = e2
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1382.
% 185.81/30.27  | | 
% 185.81/30.27  | End of split
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #840 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)  all_54_9 = all_46_1
% 185.81/30.27    (2)  all_54_9 = e3
% 185.81/30.27    (3)   ~ (all_46_1 = e3)
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | COMBINE_EQS: (1), (2) imply:
% 185.81/30.27  |   (4)  all_46_1 = e3
% 185.81/30.27  | 
% 185.81/30.27  | SIMP: (4) implies:
% 185.81/30.27  |   (5)  all_46_1 = e3
% 185.81/30.27  | 
% 185.81/30.27  | REDUCE: (3), (5) imply:
% 185.81/30.27  |   (6)  $false
% 185.81/30.27  | 
% 185.81/30.27  | CLOSE: (6) is inconsistent.
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #841 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.27    (2)  op(e0, e2) = all_52_7
% 185.81/30.27    (3)  op(e0, e2) = e1
% 185.81/30.27    (4)   ~ (all_52_7 = e1)
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | GROUND_INST: instantiating (1) with all_52_7, e1, e2, e0, simplifying with
% 185.81/30.27  |              (2), (3) gives:
% 185.81/30.27  |   (5)  all_52_7 = e1
% 185.81/30.27  | 
% 185.81/30.27  | REDUCE: (4), (5) imply:
% 185.81/30.27  |   (6)  $false
% 185.81/30.27  | 
% 185.81/30.27  | CLOSE: (6) is inconsistent.
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #842 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)   ~ (e1 = e0)
% 185.81/30.27    (2)  op(e0, e3) = all_57_25
% 185.81/30.27    (3)  op(e0, e3) = e1
% 185.81/30.27    (4)  all_57_27 = e2
% 185.81/30.27    (5)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 185.81/30.27         (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 185.81/30.27           all_57_27 = e0 & op(e1, e0) = e0)
% 185.81/30.27    (6)   ~ (e2 = e0)
% 185.81/30.27    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.27    (8)  op(e0, e1) = e2
% 185.81/30.27    (9)  op(e2, e0) = all_52_13
% 185.81/30.27    (10)  op(e0, e1) = all_57_27
% 185.81/30.27    (11)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8
% 185.81/30.27              = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 =
% 185.81/30.27              e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.81/30.27            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.81/30.27            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 185.81/30.27            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 185.81/30.27            $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 185.81/30.27            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 185.81/30.27            & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 185.81/30.27            op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 185.81/30.27            all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 185.81/30.27            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 185.81/30.27            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.81/30.27                op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 185.81/30.27                e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 185.81/30.27    (12)   ~ (all_52_13 = e0)
% 185.81/30.27    (13)   ~ (e2 = e1)
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | BETA: splitting (5) gives:
% 185.81/30.27  | 
% 185.81/30.27  | Case 1:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (14)  all_57_31 = e0
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (7), (8), (10), (11), (13), (14) are inconsistent by sub-proof
% 185.81/30.27  | |            #861.
% 185.81/30.27  | | 
% 185.81/30.27  | Case 2:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (15)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 =
% 185.81/30.27  | |           e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 185.81/30.27  | |           all_57_27 = e0 & op(e1, e0) = e0)
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9), (12), (15) are inconsistent by
% 185.81/30.27  | |            sub-proof #843.
% 185.81/30.27  | | 
% 185.81/30.27  | End of split
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #843 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)   ~ (e1 = e0)
% 185.81/30.27    (2)  op(e0, e3) = all_57_25
% 185.81/30.27    (3)  op(e0, e3) = e1
% 185.81/30.27    (4)  all_57_27 = e2
% 185.81/30.27    (5)   ~ (e2 = e0)
% 185.81/30.27    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.27    (7)  op(e2, e0) = all_52_13
% 185.81/30.27    (8)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.81/30.27           all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 185.81/30.27           op(e1, e0) = e0)
% 185.81/30.27    (9)   ~ (all_52_13 = e0)
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | BETA: splitting (8) gives:
% 185.81/30.27  | 
% 185.81/30.27  | Case 1:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (10)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 185.81/30.27  | | 
% 185.81/30.27  | | ALPHA: (10) implies:
% 185.81/30.27  | |   (11)  all_57_25 = e0
% 185.81/30.27  | | 
% 185.81/30.27  | | REDUCE: (2), (11) imply:
% 185.81/30.27  | |   (12)  op(e0, e3) = e0
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (1), (3), (6), (12) are inconsistent by sub-proof #1589.
% 185.81/30.27  | | 
% 185.81/30.27  | Case 2:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (13)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 =
% 185.81/30.27  | |           e0 & all_57_27 = e0 & op(e1, e0) = e0)
% 185.81/30.27  | | 
% 185.81/30.27  | | BETA: splitting (13) gives:
% 185.81/30.27  | | 
% 185.81/30.27  | | Case 1:
% 185.81/30.27  | | | 
% 185.81/30.27  | | |   (14)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 185.81/30.27  | | | 
% 185.81/30.27  | | | ALPHA: (14) implies:
% 185.81/30.27  | | |   (15)  op(e2, e0) = e0
% 185.81/30.27  | | | 
% 185.81/30.27  | | | REF_CLOSE: (6), (7), (9), (15) are inconsistent by sub-proof #1504.
% 185.81/30.27  | | | 
% 185.81/30.27  | | Case 2:
% 185.81/30.27  | | | 
% 185.81/30.27  | | |   (16)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 185.81/30.27  | | | 
% 185.81/30.27  | | | ALPHA: (16) implies:
% 185.81/30.27  | | |   (17)  all_57_27 = e0
% 185.81/30.27  | | | 
% 185.81/30.27  | | | COMBINE_EQS: (4), (17) imply:
% 185.81/30.27  | | |   (18)  e2 = e0
% 185.81/30.27  | | | 
% 185.81/30.27  | | | SIMP: (18) implies:
% 185.81/30.27  | | |   (19)  e2 = e0
% 185.81/30.27  | | | 
% 185.81/30.27  | | | REDUCE: (5), (19) imply:
% 185.81/30.27  | | |   (20)  $false
% 185.81/30.27  | | | 
% 185.81/30.27  | | | CLOSE: (20) is inconsistent.
% 185.81/30.27  | | | 
% 185.81/30.27  | | End of split
% 185.81/30.27  | | 
% 185.81/30.27  | End of split
% 185.81/30.27  | 
% 185.81/30.27  End of proof
% 185.81/30.27  
% 185.81/30.27  Sub-proof #844 shows that the following formulas are inconsistent:
% 185.81/30.27  ----------------------------------------------------------------
% 185.81/30.27    (1)   ~ (all_52_8 = e3)
% 185.81/30.27    (2)   ~ (all_4_2 = e0)
% 185.81/30.27    (3)   ~ (e1 = e0)
% 185.81/30.27    (4)   ~ (e3 = e0)
% 185.81/30.27    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.81/30.27         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.81/30.27    (6)   ~ (e3 = e1)
% 185.81/30.27    (7)  op(e3, e3) = e2
% 185.81/30.27    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.27           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.27    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.81/30.27         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.81/30.27    (10)  all_56_1 = e1 & op(e3, e2) = e1
% 185.81/30.27    (11)   ~ (e3 = e2)
% 185.81/30.27    (12)  op(e3, e1) = all_52_8
% 185.81/30.27    (13)  op(e3, e3) = all_4_2
% 185.81/30.27    (14)   ~ (all_24_1 = e0)
% 185.81/30.27    (15)  op(e3, e1) = all_24_1
% 185.81/30.27  
% 185.81/30.27  Begin of proof
% 185.81/30.27  | 
% 185.81/30.27  | ALPHA: (10) implies:
% 185.81/30.27  |   (16)  all_56_1 = e1
% 185.81/30.27  |   (17)  op(e3, e2) = e1
% 185.81/30.27  | 
% 185.81/30.27  | BETA: splitting (5) gives:
% 185.81/30.27  | 
% 185.81/30.27  | Case 1:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (18)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 185.81/30.27  | |           e0)
% 185.81/30.27  | | 
% 185.81/30.27  | | REF_CLOSE: (2), (3), (8), (13), (16), (18) are inconsistent by sub-proof
% 185.81/30.27  | |            #1152.
% 185.81/30.27  | | 
% 185.81/30.27  | Case 2:
% 185.81/30.27  | | 
% 185.81/30.27  | |   (19)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 185.81/30.27  | |           e0)
% 185.81/30.27  | | 
% 185.81/30.27  | | BETA: splitting (19) gives:
% 185.81/30.27  | | 
% 185.81/30.27  | | Case 1:
% 185.81/30.27  | | | 
% 185.81/30.27  | | |   (20)  all_56_4 = e0 & op(e3, e1) = e0
% 185.81/30.27  | | | 
% 185.81/30.27  | | | REF_CLOSE: (8), (14), (15), (20) are inconsistent by sub-proof #849.
% 185.81/30.27  | | | 
% 185.81/30.27  | | Case 2:
% 185.81/30.27  | | | 
% 185.81/30.28  | | |   (21)  all_56_9 = e0 & op(e3, e0) = e0
% 185.81/30.28  | | | 
% 185.81/30.28  | | | REF_CLOSE: (1), (4), (6), (7), (8), (9), (11), (12), (17), (21) are
% 185.81/30.28  | | |            inconsistent by sub-proof #1151.
% 185.81/30.28  | | | 
% 185.81/30.28  | | End of split
% 185.81/30.28  | | 
% 185.81/30.28  | End of split
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #845 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 =
% 185.81/30.28           e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 185.81/30.28         op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.81/30.28           all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.81/30.28         all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 185.81/30.28         $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 185.81/30.28         $i(all_57_30)
% 185.81/30.28    (2)  all_57_27 = e2
% 185.81/30.28    (3)   ~ (e2 = e1)
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | ALPHA: (1) implies:
% 185.81/30.28  |   (4)  all_57_27 = e1
% 185.81/30.28  | 
% 185.81/30.28  | COMBINE_EQS: (2), (4) imply:
% 185.81/30.28  |   (5)  e2 = e1
% 185.81/30.28  | 
% 185.81/30.28  | SIMP: (5) implies:
% 185.81/30.28  |   (6)  e2 = e1
% 185.81/30.28  | 
% 185.81/30.28  | REDUCE: (3), (6) imply:
% 185.81/30.28  |   (7)  $false
% 185.81/30.28  | 
% 185.81/30.28  | CLOSE: (7) is inconsistent.
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #846 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.28    (2)  all_57_17 = e1
% 185.81/30.28    (3)   ~ (all_52_4 = e2)
% 185.81/30.28    (4)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 185.81/30.28             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.81/30.28           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.81/30.28             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.81/30.28           all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 185.81/30.28           & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.81/30.28           $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2
% 185.81/30.28           & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.81/30.28           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.81/30.28             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.81/30.28             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 185.81/30.28           op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 185.81/30.28           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.81/30.28           $i(all_57_29))
% 185.81/30.28    (5)  op(e3, e2) = all_52_4
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | BETA: splitting (4) gives:
% 185.81/30.28  | 
% 185.81/30.28  | Case 1:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (6)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0
% 185.81/30.28  | |          = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 =
% 185.81/30.28  | |          e0) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 &
% 185.81/30.28  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.81/30.28  | |        all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) =
% 185.81/30.28  | |        e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.81/30.28  | |        $i(all_57_17) & $i(all_57_28)
% 185.81/30.28  | | 
% 185.81/30.28  | | ALPHA: (6) implies:
% 185.81/30.28  | |   (7)   ~ (all_57_2 = e1)
% 185.81/30.28  | |   (8)  op(e3, e1) = all_57_17
% 185.81/30.28  | |   (9)  op(e3, all_57_17) = all_57_2
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (1), (2), (7), (8), (9) are inconsistent by sub-proof #847.
% 185.81/30.28  | | 
% 185.81/30.28  | Case 2:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (10)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~
% 185.81/30.28  | |         (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~
% 185.81/30.28  | |         (all_57_29 = e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 &
% 185.81/30.28  | |         op(e2, all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.81/30.28  | |           e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 185.81/30.28  | |         op(e2, e0) = all_57_21 & $i(all_57_5) & $i(all_57_6) & $i(all_57_7)
% 185.81/30.28  | |         & $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 185.81/30.28  | | 
% 185.81/30.28  | | ALPHA: (10) implies:
% 185.81/30.28  | |   (11)  op(e3, e2) = e2
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (1), (3), (5), (11) are inconsistent by sub-proof #1382.
% 185.81/30.28  | | 
% 185.81/30.28  | End of split
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #847 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.28    (2)  all_57_17 = e1
% 185.81/30.28    (3)   ~ (all_57_2 = e1)
% 185.81/30.28    (4)  op(e3, e1) = all_57_17
% 185.81/30.28    (5)  op(e3, all_57_17) = all_57_2
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | REDUCE: (2), (5) imply:
% 185.81/30.28  |   (6)  op(e3, e1) = all_57_2
% 185.81/30.28  | 
% 185.81/30.28  | REDUCE: (2), (4) imply:
% 185.81/30.28  |   (7)  op(e3, e1) = e1
% 185.81/30.28  | 
% 185.81/30.28  | GROUND_INST: instantiating (1) with e1, all_57_2, e1, e3, simplifying with
% 185.81/30.28  |              (6), (7) gives:
% 185.81/30.28  |   (8)  all_57_2 = e1
% 185.81/30.28  | 
% 185.81/30.28  | REDUCE: (3), (8) imply:
% 185.81/30.28  |   (9)  $false
% 185.81/30.28  | 
% 185.81/30.28  | CLOSE: (9) is inconsistent.
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #848 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)   ~ (all_52_8 = e3)
% 185.81/30.28    (2)   ~ (all_4_2 = e0)
% 185.81/30.28    (3)   ~ (e1 = e0)
% 185.81/30.28    (4)   ~ (e3 = e0)
% 185.81/30.28    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.81/30.28         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.81/30.28    (6)   ~ (e3 = e1)
% 185.81/30.28    (7)  op(e3, e3) = e2
% 185.81/30.28    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.28    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.81/30.28         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.81/30.28    (10)   ~ (e3 = e2)
% 185.81/30.28    (11)  op(e3, e1) = all_52_8
% 185.81/30.28    (12)  op(e3, e3) = all_4_2
% 185.81/30.28    (13)  all_56_9 = e1 & op(e3, e0) = e1
% 185.81/30.28    (14)   ~ (all_24_1 = e0)
% 185.81/30.28    (15)  op(e3, e1) = all_24_1
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | ALPHA: (13) implies:
% 185.81/30.28  |   (16)  all_56_9 = e1
% 185.81/30.28  | 
% 185.81/30.28  | BETA: splitting (5) gives:
% 185.81/30.28  | 
% 185.81/30.28  | Case 1:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (17)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 185.81/30.28  | |           e0)
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (1), (2), (4), (6), (7), (8), (9), (10), (11), (12), (16), (17)
% 185.81/30.28  | |            are inconsistent by sub-proof #1137.
% 185.81/30.28  | | 
% 185.81/30.28  | Case 2:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (18)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 185.81/30.28  | |           e0)
% 185.81/30.28  | | 
% 185.81/30.28  | | BETA: splitting (18) gives:
% 185.81/30.28  | | 
% 185.81/30.28  | | Case 1:
% 185.81/30.28  | | | 
% 185.81/30.28  | | |   (19)  all_56_4 = e0 & op(e3, e1) = e0
% 185.81/30.28  | | | 
% 185.81/30.28  | | | REF_CLOSE: (8), (14), (15), (19) are inconsistent by sub-proof #849.
% 185.81/30.28  | | | 
% 185.81/30.28  | | Case 2:
% 185.81/30.28  | | | 
% 185.81/30.28  | | |   (20)  all_56_9 = e0 & op(e3, e0) = e0
% 185.81/30.28  | | | 
% 185.81/30.28  | | | ALPHA: (20) implies:
% 185.81/30.28  | | |   (21)  all_56_9 = e0
% 185.81/30.28  | | | 
% 185.81/30.28  | | | REF_CLOSE: (3), (16), (21) are inconsistent by sub-proof #1484.
% 185.81/30.28  | | | 
% 185.81/30.28  | | End of split
% 185.81/30.28  | | 
% 185.81/30.28  | End of split
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #849 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)  all_56_4 = e0 & op(e3, e1) = e0
% 185.81/30.28    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.28    (3)  op(e3, e1) = all_24_1
% 185.81/30.28    (4)   ~ (all_24_1 = e0)
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | ALPHA: (1) implies:
% 185.81/30.28  |   (5)  op(e3, e1) = e0
% 185.81/30.28  | 
% 185.81/30.28  | GROUND_INST: instantiating (2) with e0, all_24_1, e1, e3, simplifying with
% 185.81/30.28  |              (3), (5) gives:
% 185.81/30.28  |   (6)  all_24_1 = e0
% 185.81/30.28  | 
% 185.81/30.28  | REDUCE: (4), (6) imply:
% 185.81/30.28  |   (7)  $false
% 185.81/30.28  | 
% 185.81/30.28  | CLOSE: (7) is inconsistent.
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #850 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)   ~ (all_24_0 = e2) & op(e3, e3) = all_24_0 & $i(all_24_0)
% 185.81/30.28    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.28    (3)  op(e3, e3) = e2
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | ALPHA: (1) implies:
% 185.81/30.28  |   (4)   ~ (all_24_0 = e2)
% 185.81/30.28  |   (5)  op(e3, e3) = all_24_0
% 185.81/30.28  | 
% 185.81/30.28  | GROUND_INST: instantiating (2) with e2, all_24_0, e3, e3, simplifying with
% 185.81/30.28  |              (3), (5) gives:
% 185.81/30.28  |   (6)  all_24_0 = e2
% 185.81/30.28  | 
% 185.81/30.28  | REDUCE: (4), (6) imply:
% 185.81/30.28  |   (7)  $false
% 185.81/30.28  | 
% 185.81/30.28  | CLOSE: (7) is inconsistent.
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #851 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)  op(e0, e0) = all_6_2
% 185.81/30.28    (2)   ~ (all_6_2 = e1)
% 185.81/30.28    (3)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.81/30.28    (4)   ~ (all_6_2 = e2)
% 185.81/30.28    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.28    (6)  all_56_12 = e3
% 185.81/30.28    (7)   ~ (e3 = e2)
% 185.81/30.28    (8)   ~ (all_52_7 = e2)
% 185.81/30.28    (9)   ~ (e2 = e1)
% 185.81/30.28    (10)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.81/30.28          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.81/30.28            e2)
% 185.81/30.28    (11)  op(e0, e2) = all_52_7
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | BETA: splitting (3) gives:
% 185.81/30.28  | 
% 185.81/30.28  | Case 1:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (12)  all_56_14 = e1 & op(e0, e1) = e1
% 185.81/30.28  | | 
% 185.81/30.28  | | ALPHA: (12) implies:
% 185.81/30.28  | |   (13)  all_56_14 = e1
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (9), (10), (11), (13) are
% 185.81/30.28  | |            inconsistent by sub-proof #853.
% 185.81/30.28  | | 
% 185.81/30.28  | Case 2:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (14)  all_56_15 = e1 & op(e0, e0) = e1
% 185.81/30.28  | | 
% 185.81/30.28  | | ALPHA: (14) implies:
% 185.81/30.28  | |   (15)  op(e0, e0) = e1
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (1), (2), (5), (15) are inconsistent by sub-proof #1516.
% 185.81/30.28  | | 
% 185.81/30.28  | End of split
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #852 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)   ~ (e1 = e0)
% 185.81/30.28    (2)   ~ (e3 = e0)
% 185.81/30.28    (3)   ~ (e2 = e0)
% 185.81/30.28    (4)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 185.81/30.28         (all_56_14 = e0 & op(e0, e1) = e0)
% 185.81/30.28    (5)  all_56_14 = e2
% 185.81/30.28    (6)  all_56_12 = e3
% 185.81/30.28    (7)  all_56_13 = e1
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | BETA: splitting (4) gives:
% 185.81/30.28  | 
% 185.81/30.28  | Case 1:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (8)  all_56_12 = e0 & op(e0, e3) = e0
% 185.81/30.28  | | 
% 185.81/30.28  | | ALPHA: (8) implies:
% 185.81/30.28  | |   (9)  all_56_12 = e0
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (2), (6), (9) are inconsistent by sub-proof #1519.
% 185.81/30.28  | | 
% 185.81/30.28  | Case 2:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (10)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.81/30.28  | |           e0)
% 185.81/30.28  | | 
% 185.81/30.28  | | BETA: splitting (10) gives:
% 185.81/30.28  | | 
% 185.81/30.28  | | Case 1:
% 185.81/30.28  | | | 
% 185.81/30.28  | | |   (11)  all_56_13 = e0 & op(e0, e2) = e0
% 185.81/30.28  | | | 
% 185.81/30.28  | | | ALPHA: (11) implies:
% 185.81/30.28  | | |   (12)  all_56_13 = e0
% 185.81/30.28  | | | 
% 185.81/30.28  | | | REF_CLOSE: (1), (7), (12) are inconsistent by sub-proof #1427.
% 185.81/30.28  | | | 
% 185.81/30.28  | | Case 2:
% 185.81/30.28  | | | 
% 185.81/30.28  | | |   (13)  all_56_14 = e0 & op(e0, e1) = e0
% 185.81/30.28  | | | 
% 185.81/30.28  | | | REF_CLOSE: (3), (5), (13) are inconsistent by sub-proof #1443.
% 185.81/30.28  | | | 
% 185.81/30.28  | | End of split
% 185.81/30.28  | | 
% 185.81/30.28  | End of split
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #853 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)  op(e0, e0) = all_6_2
% 185.81/30.28    (2)   ~ (all_6_2 = e2)
% 185.81/30.28    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.28    (4)  all_56_14 = e1
% 185.81/30.28    (5)  all_56_12 = e3
% 185.81/30.28    (6)   ~ (e3 = e2)
% 185.81/30.28    (7)   ~ (all_52_7 = e2)
% 185.81/30.28    (8)   ~ (e2 = e1)
% 185.81/30.28    (9)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 185.81/30.28         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.81/30.28    (10)  op(e0, e2) = all_52_7
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | BETA: splitting (9) gives:
% 185.81/30.28  | 
% 185.81/30.28  | Case 1:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (11)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 185.81/30.28  | |           e2)
% 185.81/30.28  | | 
% 185.81/30.28  | | BETA: splitting (11) gives:
% 185.81/30.28  | | 
% 185.81/30.28  | | Case 1:
% 185.81/30.28  | | | 
% 185.81/30.28  | | |   (12)  all_56_12 = e2 & op(e0, e3) = e2
% 185.81/30.28  | | | 
% 185.81/30.28  | | | ALPHA: (12) implies:
% 185.81/30.28  | | |   (13)  all_56_12 = e2
% 185.81/30.28  | | | 
% 185.81/30.28  | | | REF_CLOSE: (5), (6), (13) are inconsistent by sub-proof #1555.
% 185.81/30.28  | | | 
% 185.81/30.28  | | Case 2:
% 185.81/30.28  | | | 
% 185.81/30.28  | | |   (14)  all_56_13 = e2 & op(e0, e2) = e2
% 185.81/30.28  | | | 
% 185.81/30.28  | | | ALPHA: (14) implies:
% 185.81/30.28  | | |   (15)  op(e0, e2) = e2
% 185.81/30.28  | | | 
% 185.81/30.28  | | | REF_CLOSE: (3), (7), (10), (15) are inconsistent by sub-proof #1613.
% 185.81/30.28  | | | 
% 185.81/30.28  | | End of split
% 185.81/30.28  | | 
% 185.81/30.28  | Case 2:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (16)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.81/30.28  | |           e2)
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (1), (2), (3), (4), (8), (16) are inconsistent by sub-proof
% 185.81/30.28  | |            #1132.
% 185.81/30.28  | | 
% 185.81/30.28  | End of split
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #854 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)  op(e0, e3) = e3
% 185.81/30.28    (2)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.81/30.28    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.28    (4)   ~ (e3 = e2)
% 185.81/30.28    (5)   ~ (all_52_7 = e2)
% 185.81/30.28    (6)  op(e0, e2) = all_52_7
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | BETA: splitting (2) gives:
% 185.81/30.28  | 
% 185.81/30.28  | Case 1:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (7)  all_56_12 = e2 & op(e0, e3) = e2
% 185.81/30.28  | | 
% 185.81/30.28  | | ALPHA: (7) implies:
% 185.81/30.28  | |   (8)  op(e0, e3) = e2
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #1039.
% 185.81/30.28  | | 
% 185.81/30.28  | Case 2:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (9)  all_56_13 = e2 & op(e0, e2) = e2
% 185.81/30.28  | | 
% 185.81/30.28  | | ALPHA: (9) implies:
% 185.81/30.28  | |   (10)  op(e0, e2) = e2
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (3), (5), (6), (10) are inconsistent by sub-proof #1613.
% 185.81/30.28  | | 
% 185.81/30.28  | End of split
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #855 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.28    (2)  op(e1, e3) = all_52_2
% 185.81/30.28    (3)  op(e1, e3) = e3
% 185.81/30.28    (4)   ~ (all_52_2 = e3)
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | GROUND_INST: instantiating (1) with all_52_2, e3, e3, e1, simplifying with
% 185.81/30.28  |              (2), (3) gives:
% 185.81/30.28  |   (5)  all_52_2 = e3
% 185.81/30.28  | 
% 185.81/30.28  | REDUCE: (4), (5) imply:
% 185.81/30.28  |   (6)  $false
% 185.81/30.28  | 
% 185.81/30.28  | CLOSE: (6) is inconsistent.
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #856 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)  op(e0, e0) = all_6_2
% 185.81/30.28    (2)   ~ (all_6_2 = e1)
% 185.81/30.28    (3)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.81/30.28    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.28    (5)  op(e0, e1) = e2
% 185.81/30.28    (6)   ~ (e2 = e1)
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | BETA: splitting (3) gives:
% 185.81/30.28  | 
% 185.81/30.28  | Case 1:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (7)  all_56_14 = e1 & op(e0, e1) = e1
% 185.81/30.28  | | 
% 185.81/30.28  | | ALPHA: (7) implies:
% 185.81/30.28  | |   (8)  op(e0, e1) = e1
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (4), (5), (6), (8) are inconsistent by sub-proof #862.
% 185.81/30.28  | | 
% 185.81/30.28  | Case 2:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (9)  all_56_15 = e1 & op(e0, e0) = e1
% 185.81/30.28  | | 
% 185.81/30.28  | | ALPHA: (9) implies:
% 185.81/30.28  | |   (10)  op(e0, e0) = e1
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1516.
% 185.81/30.28  | | 
% 185.81/30.28  | End of split
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #857 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)   ~ (e1 = e0)
% 185.81/30.28    (2)   ~ (e3 = e0)
% 185.81/30.28    (3)  op(e0, e3) = e1
% 185.81/30.28    (4)   ~ (e2 = e0)
% 185.81/30.28    (5)   ~ (e3 = e1)
% 185.81/30.28    (6)  all_56_14 = e2
% 185.81/30.28    (7)  op(e0, e3) = all_52_3
% 185.81/30.28    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.28    (9)   ~ (e3 = e2)
% 185.81/30.28    (10)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.81/30.28          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.81/30.28            e3)
% 185.81/30.28    (11)  all_56_13 = e1
% 185.81/30.28    (12)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.81/30.28              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.81/30.28                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.81/30.28                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | BETA: splitting (12) gives:
% 185.81/30.28  | 
% 185.81/30.28  | Case 1:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (13)  all_56_15 = e0 & op(e0, e0) = e0
% 185.81/30.28  | | 
% 185.81/30.28  | | ALPHA: (13) implies:
% 185.81/30.28  | |   (14)  op(e0, e0) = e0
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (11), (14) are
% 185.81/30.28  | |            inconsistent by sub-proof #858.
% 185.81/30.28  | | 
% 185.81/30.28  | Case 2:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (15)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 185.81/30.28  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 185.81/30.28  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 185.81/30.28  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 185.81/30.28  | | 
% 185.81/30.28  | | ALPHA: (15) implies:
% 185.81/30.28  | |   (16)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 185.81/30.28  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.81/30.28  | | 
% 185.81/30.28  | | BETA: splitting (16) gives:
% 185.81/30.28  | | 
% 185.81/30.28  | | Case 1:
% 185.81/30.28  | | | 
% 185.81/30.28  | | |   (17)  all_56_12 = e0 & op(e0, e3) = e0
% 185.81/30.28  | | | 
% 185.81/30.28  | | | ALPHA: (17) implies:
% 185.81/30.28  | | |   (18)  op(e0, e3) = e0
% 185.81/30.28  | | | 
% 185.81/30.28  | | | REF_CLOSE: (1), (3), (8), (18) are inconsistent by sub-proof #1589.
% 185.81/30.28  | | | 
% 185.81/30.28  | | Case 2:
% 185.81/30.28  | | | 
% 185.81/30.28  | | |   (19)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 185.81/30.28  | | |           = e0)
% 185.81/30.28  | | | 
% 185.81/30.28  | | | BETA: splitting (19) gives:
% 185.81/30.28  | | | 
% 185.81/30.28  | | | Case 1:
% 185.81/30.28  | | | | 
% 185.81/30.28  | | | |   (20)  all_56_13 = e0 & op(e0, e2) = e0
% 185.81/30.28  | | | | 
% 185.81/30.28  | | | | REF_CLOSE: (1), (11), (20) are inconsistent by sub-proof #1372.
% 185.81/30.28  | | | | 
% 185.81/30.28  | | | Case 2:
% 185.81/30.28  | | | | 
% 185.81/30.28  | | | |   (21)  all_56_14 = e0 & op(e0, e1) = e0
% 185.81/30.28  | | | | 
% 185.81/30.28  | | | | REF_CLOSE: (4), (6), (21) are inconsistent by sub-proof #1443.
% 185.81/30.28  | | | | 
% 185.81/30.28  | | | End of split
% 185.81/30.28  | | | 
% 185.81/30.28  | | End of split
% 185.81/30.28  | | 
% 185.81/30.28  | End of split
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #858 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)  op(e0, e0) = e0
% 185.81/30.28    (2)   ~ (e3 = e0)
% 185.81/30.28    (3)  op(e0, e3) = e1
% 185.81/30.28    (4)   ~ (e3 = e1)
% 185.81/30.28    (5)  all_56_14 = e2
% 185.81/30.28    (6)  op(e0, e3) = all_52_3
% 185.81/30.28    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.28    (8)   ~ (e3 = e2)
% 185.81/30.28    (9)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 185.81/30.28         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.81/30.28    (10)  all_56_13 = e1
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | BETA: splitting (9) gives:
% 185.81/30.28  | 
% 185.81/30.28  | Case 1:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (11)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 185.81/30.28  | |           e3)
% 185.81/30.28  | | 
% 185.81/30.28  | | BETA: splitting (11) gives:
% 185.81/30.28  | | 
% 185.81/30.28  | | Case 1:
% 185.81/30.28  | | | 
% 185.81/30.28  | | |   (12)  all_56_12 = e3 & op(e0, e3) = e3
% 185.81/30.28  | | | 
% 185.81/30.28  | | | ALPHA: (12) implies:
% 185.81/30.28  | | |   (13)  op(e0, e3) = e3
% 185.81/30.28  | | | 
% 185.81/30.28  | | | REF_CLOSE: (3), (4), (6), (7), (13) are inconsistent by sub-proof #1529.
% 185.81/30.28  | | | 
% 185.81/30.28  | | Case 2:
% 185.81/30.28  | | | 
% 185.81/30.28  | | |   (14)  all_56_13 = e3 & op(e0, e2) = e3
% 185.81/30.28  | | | 
% 185.81/30.28  | | | ALPHA: (14) implies:
% 185.81/30.28  | | |   (15)  all_56_13 = e3
% 185.81/30.28  | | | 
% 185.81/30.28  | | | REF_CLOSE: (4), (10), (15) are inconsistent by sub-proof #1357.
% 185.81/30.28  | | | 
% 185.81/30.28  | | End of split
% 185.81/30.28  | | 
% 185.81/30.28  | Case 2:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (16)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.81/30.28  | |           e3)
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (1), (2), (5), (7), (8), (16) are inconsistent by sub-proof #859.
% 185.81/30.28  | | 
% 185.81/30.28  | End of split
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #859 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)  op(e0, e0) = e0
% 185.81/30.28    (2)   ~ (e3 = e0)
% 185.81/30.28    (3)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.81/30.28    (4)  all_56_14 = e2
% 185.81/30.28    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.28    (6)   ~ (e3 = e2)
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | BETA: splitting (3) gives:
% 185.81/30.28  | 
% 185.81/30.28  | Case 1:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (7)  all_56_14 = e3 & op(e0, e1) = e3
% 185.81/30.28  | | 
% 185.81/30.28  | | ALPHA: (7) implies:
% 185.81/30.28  | |   (8)  all_56_14 = e3
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (4), (6), (8) are inconsistent by sub-proof #1512.
% 185.81/30.28  | | 
% 185.81/30.28  | Case 2:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (9)  all_56_15 = e3 & op(e0, e0) = e3
% 185.81/30.28  | | 
% 185.81/30.28  | | ALPHA: (9) implies:
% 185.81/30.28  | |   (10)  op(e0, e0) = e3
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1540.
% 185.81/30.28  | | 
% 185.81/30.28  | End of split
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #860 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)   ~ (e1 = e0)
% 185.81/30.28    (2)  op(e1, e2) = e0
% 185.81/30.28    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.28    (4)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 =
% 185.81/30.28             e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2)
% 185.81/30.28           & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) =
% 185.81/30.28           all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 185.81/30.28           op(e1, e2) = e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 &
% 185.81/30.28           $i(all_57_8) & $i(all_57_10) & $i(all_57_11) & $i(all_57_22) &
% 185.81/30.28           $i(all_57_24) & $i(all_57_30)) | (op(e0, e1) = all_57_27 &
% 185.81/30.28           $i(all_57_27) & ((all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 =
% 185.81/30.28               e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.81/30.28               &  ~ (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1,
% 185.81/30.28                 all_57_23) = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.81/30.28                 e3) = all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.81/30.28               & op(e1, e0) = e1 & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.81/30.28               $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 =
% 185.81/30.28                 e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 =
% 185.81/30.28                 e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) =
% 185.81/30.28               all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 185.81/30.28               all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 &
% 185.81/30.28               op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 185.81/30.28               $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 185.81/30.28               $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 185.81/30.28                   & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 185.81/30.28                     e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) =
% 185.81/30.28                   e0)))))
% 185.81/30.28    (5)  op(e0, e1) = e2
% 185.81/30.28    (6)   ~ (e2 = e1)
% 185.81/30.28    (7)  all_57_31 = e0
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | BETA: splitting (4) gives:
% 185.81/30.28  | 
% 185.81/30.28  | Case 1:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (8)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8
% 185.81/30.28  | |          = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 =
% 185.81/30.28  | |          e2) & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 185.81/30.28  | |          all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3)
% 185.81/30.28  | |        = all_57_22 & op(e1, e2) = e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.81/30.28  | |        all_57_24 & $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.81/30.28  | |        $i(all_57_22) & $i(all_57_24) & $i(all_57_30)
% 185.81/30.28  | | 
% 185.81/30.28  | | ALPHA: (8) implies:
% 185.81/30.28  | |   (9)  op(e1, e2) = e1
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #863.
% 185.81/30.28  | | 
% 185.81/30.28  | Case 2:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (10)  op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 185.81/30.28  | |             all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.81/30.28  | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 185.81/30.28  | |             op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.81/30.28  | |             op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 185.81/30.28  | |               e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.81/30.28  | |             $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.81/30.28  | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.81/30.28  | |             (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.81/30.28  | |             op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.81/30.28  | |             op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.81/30.28  | |             op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 185.81/30.28  | |             all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.81/30.28  | |             $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 185.81/30.28  | |             (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0)
% 185.81/30.28  | |                 = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0)
% 185.81/30.28  | |               | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))))
% 185.81/30.28  | | 
% 185.81/30.28  | | ALPHA: (10) implies:
% 185.81/30.28  | |   (11)  op(e0, e1) = all_57_27
% 185.81/30.28  | |   (12)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 185.81/30.28  | |           (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.81/30.28  | |           (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1,
% 185.81/30.28  | |             all_57_23) = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.81/30.28  | |             e3) = all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1) =
% 185.81/30.28  | |           all_57_30 & op(e1, e0) = e1 & $i(all_57_8) & $i(all_57_9) &
% 185.81/30.28  | |           $i(all_57_10) & $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | (
% 185.81/30.28  | |           ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) & 
% 185.81/30.28  | |           ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0,
% 185.81/30.28  | |             all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 185.81/30.28  | |             all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 185.81/30.28  | |           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13)
% 185.81/30.28  | |           & $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 185.81/30.28  | |           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 185.81/30.28  | |               & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 185.81/30.28  | |                 e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) =
% 185.81/30.28  | |               e0)))
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (3), (5), (6), (7), (11), (12) are inconsistent by sub-proof
% 185.81/30.28  | |            #861.
% 185.81/30.28  | | 
% 185.81/30.28  | End of split
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #861 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.28    (2)  op(e0, e1) = e2
% 185.81/30.28    (3)  op(e0, e1) = all_57_27
% 185.81/30.28    (4)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 =
% 185.81/30.28             e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0)
% 185.81/30.28           & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.81/30.28             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.81/30.28           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 185.81/30.28           $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 185.81/30.28           $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 185.81/30.28           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 185.81/30.28           & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 185.81/30.28           op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 185.81/30.28           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 185.81/30.28           $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 185.81/30.28           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.81/30.28               op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 185.81/30.28               e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 185.81/30.28    (5)   ~ (e2 = e1)
% 185.81/30.28    (6)  all_57_31 = e0
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | BETA: splitting (4) gives:
% 185.81/30.28  | 
% 185.81/30.28  | Case 1:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (7)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 185.81/30.28  | |        (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.81/30.28  | |        (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) =
% 185.81/30.28  | |        all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 185.81/30.28  | |        op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.81/30.28  | |        $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.81/30.28  | |        $i(all_57_23) & $i(all_57_30)
% 185.81/30.28  | | 
% 185.81/30.28  | | ALPHA: (7) implies:
% 185.81/30.28  | |   (8)  all_57_27 = e1
% 185.81/30.28  | | 
% 185.81/30.28  | | REDUCE: (3), (8) imply:
% 185.81/30.28  | |   (9)  op(e0, e1) = e1
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #862.
% 185.81/30.28  | | 
% 185.81/30.28  | Case 2:
% 185.81/30.28  | | 
% 185.81/30.28  | |   (10)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.81/30.28  | |         (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 185.81/30.28  | |         = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 185.81/30.28  | |         all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.81/30.28  | |           e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.81/30.28  | |         $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 185.81/30.28  | |         (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 185.81/30.28  | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 185.81/30.28  | |           (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 185.81/30.28  | | 
% 185.81/30.28  | | REF_CLOSE: (1), (6), (10) are inconsistent by sub-proof #1584.
% 185.81/30.28  | | 
% 185.81/30.28  | End of split
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #862 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.28    (2)  op(e0, e1) = e2
% 185.81/30.28    (3)  op(e0, e1) = e1
% 185.81/30.28    (4)   ~ (e2 = e1)
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | GROUND_INST: instantiating (1) with e2, e1, e1, e0, simplifying with (2), (3)
% 185.81/30.28  |              gives:
% 185.81/30.28  |   (5)  e2 = e1
% 185.81/30.28  | 
% 185.81/30.28  | REDUCE: (4), (5) imply:
% 185.81/30.28  |   (6)  $false
% 185.81/30.28  | 
% 185.81/30.28  | CLOSE: (6) is inconsistent.
% 185.81/30.28  | 
% 185.81/30.28  End of proof
% 185.81/30.28  
% 185.81/30.28  Sub-proof #863 shows that the following formulas are inconsistent:
% 185.81/30.28  ----------------------------------------------------------------
% 185.81/30.28    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.28           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.28    (2)  op(e1, e2) = e1
% 185.81/30.28    (3)  op(e1, e2) = e0
% 185.81/30.28    (4)   ~ (e1 = e0)
% 185.81/30.28  
% 185.81/30.28  Begin of proof
% 185.81/30.28  | 
% 185.81/30.28  | GROUND_INST: instantiating (1) with e0, e1, e2, e1, simplifying with (2), (3)
% 185.81/30.28  |              gives:
% 185.81/30.29  |   (5)  e1 = e0
% 185.81/30.29  | 
% 185.81/30.29  | REDUCE: (4), (5) imply:
% 185.81/30.29  |   (6)  $false
% 185.81/30.29  | 
% 185.81/30.29  | CLOSE: (6) is inconsistent.
% 185.81/30.29  | 
% 185.81/30.29  End of proof
% 185.81/30.29  
% 185.81/30.29  Sub-proof #864 shows that the following formulas are inconsistent:
% 185.81/30.29  ----------------------------------------------------------------
% 185.81/30.29    (1)  op(e2, e1) = e1
% 185.81/30.29    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.29           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.29    (3)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 185.81/30.29             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.81/30.29           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.81/30.29             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 185.81/30.29           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 185.81/30.29           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 185.81/30.29           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 185.81/30.29           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 185.81/30.29           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 185.81/30.29           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.81/30.29             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 185.81/30.29           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.81/30.29           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 185.81/30.29    (4)   ~ (all_52_7 = e2)
% 185.81/30.29    (5)   ~ (e2 = e1)
% 185.81/30.29    (6)  op(e0, e2) = all_52_7
% 185.81/30.29  
% 185.81/30.29  Begin of proof
% 185.81/30.29  | 
% 185.81/30.29  | BETA: splitting (3) gives:
% 185.81/30.29  | 
% 185.81/30.29  | Case 1:
% 185.81/30.29  | | 
% 185.81/30.29  | |   (7)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4
% 185.81/30.29  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 185.81/30.29  | |          e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 &
% 185.81/30.29  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 185.81/30.29  | |        all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 185.81/30.29  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 185.81/30.29  | |        $i(all_57_21) & $i(all_57_29)
% 185.81/30.29  | | 
% 185.81/30.29  | | ALPHA: (7) implies:
% 185.81/30.29  | |   (8)  op(e2, e1) = e2
% 185.81/30.29  | | 
% 185.81/30.29  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1148.
% 185.81/30.29  | | 
% 185.81/30.29  | Case 2:
% 185.81/30.29  | | 
% 185.81/30.29  | |   (9)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4
% 185.81/30.29  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 =
% 185.81/30.29  | |          e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20) = all_57_6 &
% 185.81/30.29  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 185.81/30.29  | |        all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) =
% 185.81/30.29  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_19) &
% 185.81/30.29  | |        $i(all_57_20) & $i(all_57_29)
% 185.81/30.29  | | 
% 185.81/30.29  | | ALPHA: (9) implies:
% 185.81/30.29  | |   (10)  op(e0, e2) = e2
% 185.81/30.29  | | 
% 185.81/30.29  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1613.
% 185.81/30.29  | | 
% 185.81/30.29  | End of split
% 185.81/30.29  | 
% 185.81/30.29  End of proof
% 185.81/30.29  
% 185.81/30.29  Sub-proof #865 shows that the following formulas are inconsistent:
% 185.81/30.29  ----------------------------------------------------------------
% 185.81/30.29    (1)  all_56_6 = e2
% 185.81/30.29    (2)  all_56_10 = e3
% 185.81/30.29    (3)  all_56_0 = e3
% 185.81/30.29    (4)   ~ (e3 = e0)
% 185.81/30.29    (5)  op(e0, e3) = e1
% 185.81/30.29    (6)  all_56_2 = e0
% 185.81/30.29    (7)   ~ (e3 = e1)
% 185.81/30.29    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.81/30.29         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.81/30.29    (9)  op(e0, e3) = all_52_3
% 185.81/30.29    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.29            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.29    (11)   ~ (e3 = e2)
% 185.81/30.29    (12)  all_56_10 = e1
% 185.81/30.29  
% 185.81/30.29  Begin of proof
% 185.81/30.29  | 
% 185.81/30.29  | COMBINE_EQS: (2), (12) imply:
% 185.81/30.29  |   (13)  e3 = e1
% 185.81/30.29  | 
% 185.81/30.29  | SIMP: (13) implies:
% 185.81/30.29  |   (14)  e3 = e1
% 185.81/30.29  | 
% 185.81/30.29  | COMBINE_EQS: (3), (14) imply:
% 185.81/30.29  |   (15)  all_56_0 = e1
% 185.81/30.29  | 
% 185.81/30.29  | REF_CLOSE: (1), (4), (5), (6), (7), (8), (9), (10), (11), (15) are
% 185.81/30.29  |            inconsistent by sub-proof #866.
% 185.81/30.29  | 
% 185.81/30.29  End of proof
% 185.81/30.29  
% 185.81/30.29  Sub-proof #866 shows that the following formulas are inconsistent:
% 185.81/30.29  ----------------------------------------------------------------
% 185.81/30.29    (1)  all_56_6 = e2
% 185.81/30.29    (2)   ~ (e3 = e0)
% 185.81/30.29    (3)  op(e0, e3) = e1
% 185.81/30.29    (4)  all_56_0 = e1
% 185.81/30.29    (5)  all_56_2 = e0
% 185.81/30.29    (6)   ~ (e3 = e1)
% 185.81/30.29    (7)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.81/30.29         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.81/30.29    (8)  op(e0, e3) = all_52_3
% 185.81/30.29    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.29           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.29    (10)   ~ (e3 = e2)
% 185.81/30.29  
% 185.81/30.29  Begin of proof
% 185.81/30.29  | 
% 185.81/30.29  | BETA: splitting (7) gives:
% 185.81/30.29  | 
% 185.81/30.29  | Case 1:
% 185.81/30.29  | | 
% 185.81/30.29  | |   (11)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 185.81/30.29  | |           e3)
% 185.81/30.29  | | 
% 185.81/30.29  | | BETA: splitting (11) gives:
% 185.81/30.29  | | 
% 185.81/30.29  | | Case 1:
% 185.81/30.29  | | | 
% 185.81/30.29  | | |   (12)  all_56_0 = e3 & op(e3, e3) = e3
% 185.81/30.29  | | | 
% 185.81/30.29  | | | REF_CLOSE: (4), (6), (12) are inconsistent by sub-proof #951.
% 185.81/30.29  | | | 
% 185.81/30.29  | | Case 2:
% 185.81/30.29  | | | 
% 185.81/30.29  | | |   (13)  all_56_2 = e3 & op(e2, e3) = e3
% 185.81/30.29  | | | 
% 185.81/30.29  | | | REF_CLOSE: (2), (5), (13) are inconsistent by sub-proof #868.
% 185.81/30.29  | | | 
% 185.81/30.29  | | End of split
% 185.81/30.29  | | 
% 185.81/30.29  | Case 2:
% 185.81/30.29  | | 
% 185.81/30.29  | |   (14)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 185.81/30.29  | |           e3)
% 185.81/30.29  | | 
% 185.81/30.29  | | REF_CLOSE: (1), (3), (6), (8), (9), (10), (14) are inconsistent by sub-proof
% 185.81/30.29  | |            #867.
% 185.81/30.29  | | 
% 185.81/30.29  | End of split
% 185.81/30.29  | 
% 185.81/30.29  End of proof
% 185.81/30.29  
% 185.81/30.29  Sub-proof #867 shows that the following formulas are inconsistent:
% 185.81/30.29  ----------------------------------------------------------------
% 185.81/30.29    (1)  all_56_6 = e2
% 185.81/30.29    (2)  op(e0, e3) = e1
% 185.81/30.29    (3)   ~ (e3 = e1)
% 185.81/30.29    (4)  op(e0, e3) = all_52_3
% 185.81/30.29    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.29           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.29    (6)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.81/30.29    (7)   ~ (e3 = e2)
% 185.81/30.29  
% 185.81/30.29  Begin of proof
% 185.81/30.29  | 
% 185.81/30.29  | BETA: splitting (6) gives:
% 185.81/30.29  | 
% 185.81/30.29  | Case 1:
% 185.81/30.29  | | 
% 185.81/30.29  | |   (8)  all_56_6 = e3 & op(e1, e3) = e3
% 185.81/30.29  | | 
% 185.81/30.29  | | REF_CLOSE: (1), (7), (8) are inconsistent by sub-proof #1167.
% 185.81/30.29  | | 
% 185.81/30.29  | Case 2:
% 185.81/30.29  | | 
% 185.81/30.29  | |   (9)  all_56_12 = e3 & op(e0, e3) = e3
% 185.81/30.29  | | 
% 185.81/30.29  | | ALPHA: (9) implies:
% 185.81/30.29  | |   (10)  op(e0, e3) = e3
% 185.81/30.29  | | 
% 185.81/30.29  | | REF_CLOSE: (2), (3), (4), (5), (10) are inconsistent by sub-proof #1529.
% 185.81/30.29  | | 
% 185.81/30.29  | End of split
% 185.81/30.29  | 
% 185.81/30.29  End of proof
% 185.81/30.29  
% 185.81/30.29  Sub-proof #868 shows that the following formulas are inconsistent:
% 185.81/30.29  ----------------------------------------------------------------
% 185.81/30.29    (1)  all_56_2 = e3 & op(e2, e3) = e3
% 185.81/30.29    (2)  all_56_2 = e0
% 185.81/30.29    (3)   ~ (e3 = e0)
% 185.81/30.29  
% 185.81/30.29  Begin of proof
% 185.81/30.29  | 
% 185.81/30.29  | ALPHA: (1) implies:
% 185.81/30.29  |   (4)  all_56_2 = e3
% 185.81/30.29  | 
% 185.81/30.29  | COMBINE_EQS: (2), (4) imply:
% 185.81/30.29  |   (5)  e3 = e0
% 185.81/30.29  | 
% 185.81/30.29  | REDUCE: (3), (5) imply:
% 185.81/30.29  |   (6)  $false
% 185.81/30.29  | 
% 185.81/30.29  | CLOSE: (6) is inconsistent.
% 185.81/30.29  | 
% 185.81/30.29  End of proof
% 185.81/30.29  
% 185.81/30.29  Sub-proof #869 shows that the following formulas are inconsistent:
% 185.81/30.29  ----------------------------------------------------------------
% 185.81/30.29    (1)   ~ (e2 = e0)
% 185.81/30.29    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.29           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.29    (3)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.81/30.29         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.81/30.29    (4)   ~ (e3 = e2)
% 185.81/30.29    (5)   ~ (all_52_4 = e2)
% 185.81/30.29    (6)  op(e3, e2) = all_52_4
% 185.81/30.29    (7)  all_56_4 = e0
% 185.81/30.29    (8)  op(e3, e3) = e3
% 185.81/30.29    (9)  all_56_9 = e1
% 185.81/30.29    (10)   ~ (e2 = e1)
% 185.81/30.29  
% 185.81/30.29  Begin of proof
% 185.81/30.29  | 
% 185.81/30.29  | BETA: splitting (3) gives:
% 185.81/30.29  | 
% 185.81/30.29  | Case 1:
% 185.81/30.29  | | 
% 185.81/30.29  | |   (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 185.81/30.29  | |           e2)
% 185.81/30.29  | | 
% 185.81/30.29  | | REF_CLOSE: (2), (4), (5), (6), (8), (11) are inconsistent by sub-proof
% 185.81/30.29  | |            #1131.
% 185.81/30.29  | | 
% 185.81/30.29  | Case 2:
% 185.81/30.29  | | 
% 185.81/30.29  | |   (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 185.81/30.29  | |           e2)
% 185.81/30.29  | | 
% 185.81/30.29  | | BETA: splitting (12) gives:
% 185.81/30.29  | | 
% 185.81/30.29  | | Case 1:
% 185.81/30.29  | | | 
% 185.81/30.29  | | |   (13)  all_56_4 = e2 & op(e3, e1) = e2
% 185.81/30.29  | | | 
% 185.81/30.29  | | | REF_CLOSE: (1), (7), (13) are inconsistent by sub-proof #870.
% 185.81/30.29  | | | 
% 185.81/30.29  | | Case 2:
% 185.81/30.29  | | | 
% 185.81/30.29  | | |   (14)  all_56_9 = e2 & op(e3, e0) = e2
% 185.81/30.29  | | | 
% 185.81/30.29  | | | ALPHA: (14) implies:
% 185.81/30.29  | | |   (15)  all_56_9 = e2
% 185.81/30.29  | | | 
% 185.81/30.29  | | | REF_CLOSE: (9), (10), (15) are inconsistent by sub-proof #1503.
% 185.81/30.29  | | | 
% 185.81/30.29  | | End of split
% 185.81/30.29  | | 
% 185.81/30.29  | End of split
% 185.81/30.29  | 
% 185.81/30.29  End of proof
% 185.81/30.29  
% 185.81/30.29  Sub-proof #870 shows that the following formulas are inconsistent:
% 185.81/30.29  ----------------------------------------------------------------
% 185.81/30.29    (1)  all_56_4 = e2 & op(e3, e1) = e2
% 185.81/30.29    (2)  all_56_4 = e0
% 185.81/30.29    (3)   ~ (e2 = e0)
% 185.81/30.29  
% 185.81/30.29  Begin of proof
% 185.81/30.29  | 
% 185.81/30.29  | ALPHA: (1) implies:
% 185.81/30.29  |   (4)  all_56_4 = e2
% 185.81/30.29  | 
% 185.81/30.29  | COMBINE_EQS: (2), (4) imply:
% 185.81/30.29  |   (5)  e2 = e0
% 185.81/30.29  | 
% 185.81/30.29  | REDUCE: (3), (5) imply:
% 185.81/30.29  |   (6)  $false
% 185.81/30.29  | 
% 185.81/30.29  | CLOSE: (6) is inconsistent.
% 185.81/30.29  | 
% 185.81/30.29  End of proof
% 185.81/30.29  
% 185.81/30.29  Sub-proof #871 shows that the following formulas are inconsistent:
% 185.81/30.29  ----------------------------------------------------------------
% 185.81/30.29    (1)   ~ (all_52_12 = all_4_2)
% 185.81/30.29    (2)  all_54_6 = all_52_9
% 185.81/30.29    (3)   ~ (all_52_8 = all_52_11)
% 185.81/30.29    (4)  op(e0, e0) = all_6_2
% 185.81/30.29    (5)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 185.81/30.29    (6)   ~ (all_52_4 = all_52_12)
% 185.81/30.29    (7)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.81/30.29         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.81/30.29    (8)  all_56_10 = e3
% 185.81/30.29    (9)   ~ (all_52_8 = e3)
% 185.81/30.29    (10)   ~ (all_32_2 = e3) | ( ~ (all_32_0 = e2) & op(e3, e3) = all_32_0 &
% 185.81/30.29            $i(all_32_0)) | ( ~ (all_32_1 = e1) & op(e3, e0) = all_32_1 &
% 185.81/30.29            $i(all_32_1))
% 185.81/30.29    (11)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.81/30.29    (12)   ~ (all_4_2 = e0)
% 185.81/30.29    (13)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.29          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.81/30.29    (14)   ~ (all_6_2 = e1)
% 185.81/30.29    (15)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.81/30.29          (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.81/30.29    (16)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.81/30.29          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.81/30.29    (17)   ~ (all_52_6 = all_52_14)
% 185.81/30.29    (18)   ~ (all_52_14 = e0)
% 185.81/30.29    (19)  op(e1, e1) = e3
% 185.81/30.29    (20)  op(e1, e1) = all_57_30
% 185.81/30.29    (21)   ~ (e1 = e0)
% 185.81/30.29    (22)  op(e1, e3) = all_52_2
% 185.81/30.29    (23)   ~ (all_52_1 = all_4_2)
% 185.81/30.29    (24)  op(e1, e0) = all_52_14
% 185.81/30.29    (25)  all_56_13 = e3
% 185.81/30.29    (26)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 185.81/30.29          | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0, e0) =
% 185.81/30.29            e1) | ( ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 & $i(all_57_20))
% 185.81/30.29    (27)   ~ (all_52_2 = all_52_6)
% 185.81/30.29    (28)  all_56_4 = e2
% 185.81/30.29    (29)  all_54_15 = all_6_2
% 185.81/30.29    (30)   ~ (all_52_13 = all_52_14)
% 185.81/30.29    (31)  all_54_0 = all_4_2
% 185.81/30.29    (32)   ~ (e3 = e0)
% 185.81/30.29    (33)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.81/30.29          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.81/30.29    (34)   ~ (all_52_3 = all_52_7)
% 185.81/30.29    (35)  op(e0, e1) = all_52_11
% 185.81/30.29    (36)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.81/30.29          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.81/30.29    (37)   ~ (all_52_13 = all_6_2)
% 185.81/30.29    (38)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.81/30.29          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.81/30.29    (39)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.81/30.29          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.81/30.29    (40)  op(e2, e1) = all_52_9
% 185.81/30.29    (41)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.81/30.29          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.81/30.29    (42)   ~ (all_52_11 = all_6_2)
% 185.81/30.29    (43)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.81/30.29          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.81/30.29    (44)  op(e3, e0) = all_52_12
% 185.81/30.29    (45)   ~ (e2 = e0)
% 185.81/30.29    (46)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.29          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.81/30.29    (47)  all_54_13 = all_52_7
% 185.81/30.29    (48)   ~ (all_52_6 = all_52_7)
% 185.81/30.29    (49)   ~ (all_52_12 = all_52_13)
% 185.81/30.29    (50)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.81/30.29          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.81/30.29    (51)   ~ (e3 = e1)
% 185.81/30.29    (52)   ~ (all_52_4 = all_52_7)
% 185.81/30.29    (53)   ~ (all_6_2 = e2)
% 185.81/30.29    (54)   ~ (all_52_9 = all_52_13)
% 185.81/30.29    (55)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 185.81/30.29    (56)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.81/30.29          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.81/30.29    (57)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 185.81/30.29    (58)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 185.81/30.29    (59)   ~ (all_52_12 = all_52_14)
% 185.81/30.29    (60)  op(e2, e3) = all_52_1
% 185.81/30.29    (61)  all_54_4 = all_52_1
% 185.81/30.29    (62)   ~ (all_52_1 = all_52_2)
% 185.81/30.29    (63)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 185.81/30.29    (64)  op(e0, e3) = all_52_3
% 185.81/30.29    (65)   ~ (all_52_4 = all_52_8)
% 185.81/30.29    (66)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.81/30.29    (67)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.81/30.29            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.81/30.29    (68)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.81/30.29          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.81/30.29    (69)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 185.81/30.29    (70)   ~ (all_52_1 = all_52_13)
% 185.81/30.29    (71)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 185.81/30.29          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 185.81/30.29            e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 & $i(all_57_24))
% 185.81/30.29    (72)  all_54_7 = all_52_13
% 185.81/30.29    (73)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.81/30.29    (74)  all_57_31 = all_6_2
% 185.81/30.29    (75)   ~ (all_52_6 = e2)
% 185.81/30.29    (76)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.81/30.29          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.81/30.29    (77)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 185.81/30.29              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 185.81/30.29            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.81/30.29              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.81/30.29            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 185.81/30.29            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 185.81/30.29            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 185.81/30.29            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 185.81/30.29            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 185.81/30.29            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.81/30.29              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 185.81/30.29              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.81/30.29            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.81/30.29          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 185.81/30.29              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 185.81/30.29            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.81/30.29              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.81/30.29            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 185.81/30.29            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.81/30.29            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 185.81/30.29            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.81/30.29            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.81/30.29              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.81/30.29              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 185.81/30.29            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 185.81/30.29            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.81/30.29            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 185.81/30.29            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 185.81/30.29            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 185.81/30.29            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 185.81/30.29            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.81/30.29            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 185.81/30.29            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 185.81/30.29            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 185.81/30.29              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 185.81/30.29            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 185.81/30.29            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 185.81/30.29              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 185.81/30.29            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 185.81/30.29            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 185.81/30.29            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 185.81/30.29            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.81/30.29            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.81/30.29              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 185.81/30.29              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 185.81/30.29            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 185.81/30.29            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 185.81/30.29              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 185.81/30.29            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 185.81/30.29            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.81/30.29            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 185.81/30.29            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 185.81/30.29            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 185.81/30.29                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 185.81/30.29                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 185.81/30.29                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.81/30.29                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 185.81/30.29                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.81/30.29                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.81/30.29                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.81/30.29                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.81/30.29                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.81/30.29                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.81/30.29                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 185.81/30.29                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.81/30.29                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 185.81/30.29                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 185.81/30.29                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 185.81/30.29                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 185.81/30.29    (78)  all_54_8 = all_52_2
% 185.81/30.29    (79)  all_54_11 = all_52_14
% 185.81/30.29    (80)   ~ (all_57_30 = e1)
% 185.81/30.29    (81)   ~ (all_52_8 = all_52_12)
% 185.81/30.29    (82)  all_32_2 = all_6_2
% 185.81/30.29    (83)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.81/30.29          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.81/30.29    (84)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.81/30.29          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.81/30.29    (85)  op(e2, e1) = all_57_20
% 185.81/30.29    (86)   ~ (all_52_9 = all_52_11)
% 185.81/30.29    (87)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.81/30.29          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.81/30.29    (88)  all_54_9 = all_52_6
% 185.81/30.29    (89)   ~ (all_52_9 = e2)
% 185.81/30.29    (90)   ~ (all_52_8 = all_52_9)
% 185.81/30.29    (91)   ~ (all_52_7 = all_6_2)
% 185.81/30.29    (92)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.81/30.29          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.81/30.29    (93)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.81/30.29          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.81/30.29            e1)
% 185.81/30.29    (94)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.81/30.29          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.81/30.29    (95)  op(e2, e0) = all_52_13
% 185.81/30.29    (96)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.81/30.29          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.81/30.29    (97)  op(e3, e1) = all_57_17
% 185.81/30.29    (98)   ~ (e3 = e2)
% 185.81/30.29    (99)  all_57_20 = all_52_9
% 185.81/30.29    (100)   ~ (all_52_4 = e2)
% 185.81/30.29    (101)   ~ (all_52_2 = all_4_2)
% 185.81/30.29    (102)   ~ (all_52_12 = all_6_2)
% 185.81/30.29    (103)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.81/30.29           | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.81/30.29             e3)
% 185.81/30.29    (104)  all_54_2 = all_52_8
% 185.81/30.29    (105)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.81/30.29    (106)  op(e3, e1) = all_52_8
% 185.81/30.29    (107)   ~ (all_52_2 = all_52_3)
% 185.81/30.29    (108)  op(e3, e3) = all_4_2
% 185.81/30.29    (109)   ~ (all_52_1 = all_52_3)
% 185.81/30.29    (110)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.81/30.29           (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.81/30.29    (111)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 185.81/30.29           | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0, e0) =
% 185.81/30.29             e1) | ( ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 & $i(all_57_27))
% 185.81/30.29    (112)   ~ (all_52_14 = all_6_2)
% 185.81/30.29    (113)  op(e3, e2) = all_52_4
% 185.81/30.29    (114)   ~ (all_52_14 = e3)
% 185.81/30.29    (115)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 185.81/30.29           | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 185.81/30.29             e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 & $i(all_57_18))
% 185.81/30.29    (116)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.81/30.29           | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.81/30.29             e3)
% 185.81/30.29    (117)  op(e0, e1) = all_57_27
% 185.81/30.29    (118)   ~ (all_52_4 = all_4_2)
% 185.81/30.29    (119)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.81/30.29           (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.81/30.29    (120)  op(e1, e2) = all_52_6
% 185.81/30.29    (121)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 185.81/30.29    (122)   ~ (all_52_7 = e2)
% 185.81/30.29    (123)   ~ (all_52_13 = e2)
% 185.81/30.29    (124)  op(e3, e3) = e3
% 185.81/30.29    (125)   ~ (e2 = e1)
% 185.81/30.29    (126)   ~ (all_52_11 = e0)
% 185.81/30.29    (127)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.81/30.29           | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.81/30.29             e2)
% 185.81/30.29    (128)  op(e0, e2) = all_52_7
% 185.81/30.29    (129)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 185.81/30.29    (130)   ~ (all_52_1 = all_52_9)
% 185.94/30.29    (131)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) =
% 185.94/30.29                 e0) | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 185.94/30.29                 op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 185.94/30.29               (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.94/30.29                 e0)))
% 185.94/30.29    (132)  all_57_31 = e0
% 185.94/30.29    (133)   ~ (all_52_2 = all_52_14)
% 185.94/30.29    (134)   ~ (all_52_3 = all_52_11)
% 185.94/30.29    (135)  all_54_14 = all_52_11
% 185.94/30.29    (136)   ~ (all_52_12 = e0)
% 185.94/30.29    (137)  op(e2, e2) = e2
% 185.94/30.29    (138)   ~ (all_4_2 = e1)
% 185.94/30.29    (139)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.94/30.29           (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.94/30.29    (140)   ~ (all_52_7 = all_52_11)
% 185.94/30.29    (141)  all_54_1 = all_52_4
% 185.94/30.29    (142)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.94/30.29           (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.94/30.29  
% 185.94/30.29  Begin of proof
% 185.94/30.29  | 
% 185.94/30.29  | BETA: splitting (68) gives:
% 185.94/30.29  | 
% 185.94/30.29  | Case 1:
% 185.94/30.29  | | 
% 185.94/30.29  | |   (143)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 185.94/30.29  | |            e0)
% 185.94/30.29  | | 
% 185.94/30.29  | | BETA: splitting (143) gives:
% 185.94/30.29  | | 
% 185.94/30.29  | | Case 1:
% 185.94/30.29  | | | 
% 185.94/30.29  | | |   (144)  all_56_4 = e0 & op(e3, e1) = e0
% 185.94/30.29  | | | 
% 185.94/30.29  | | | REF_CLOSE: (28), (45), (144) are inconsistent by sub-proof #1190.
% 185.94/30.29  | | | 
% 185.94/30.29  | | Case 2:
% 185.94/30.29  | | | 
% 185.94/30.29  | | |   (145)  all_56_5 = e0 & op(e2, e1) = e0
% 185.94/30.29  | | | 
% 185.94/30.29  | | | ALPHA: (145) implies:
% 185.94/30.29  | | |   (146)  all_56_5 = e0
% 185.94/30.29  | | |   (147)  op(e2, e1) = e0
% 185.94/30.29  | | | 
% 185.94/30.29  | | | BETA: splitting (36) gives:
% 185.94/30.29  | | | 
% 185.94/30.29  | | | Case 1:
% 185.94/30.29  | | | | 
% 185.94/30.29  | | | |   (148)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2)
% 185.94/30.29  | | | |            = e0)
% 185.94/30.29  | | | | 
% 185.94/30.29  | | | | BETA: splitting (148) gives:
% 185.94/30.29  | | | | 
% 185.94/30.29  | | | | Case 1:
% 185.94/30.29  | | | | | 
% 185.94/30.29  | | | | |   (149)  all_56_0 = e0 & op(e3, e3) = e0
% 185.94/30.29  | | | | | 
% 185.94/30.29  | | | | | ALPHA: (149) implies:
% 185.94/30.29  | | | | |   (150)  op(e3, e3) = e0
% 185.94/30.29  | | | | | 
% 185.94/30.29  | | | | | REF_CLOSE: (12), (67), (108), (150) are inconsistent by sub-proof
% 185.94/30.29  | | | | |            #1624.
% 185.94/30.29  | | | | | 
% 185.94/30.29  | | | | Case 2:
% 185.94/30.29  | | | | | 
% 185.94/30.29  | | | | |   (151)  all_56_1 = e0 & op(e3, e2) = e0
% 185.94/30.29  | | | | | 
% 185.94/30.29  | | | | | ALPHA: (151) implies:
% 185.94/30.29  | | | | |   (152)  all_56_1 = e0
% 185.94/30.29  | | | | |   (153)  op(e3, e2) = e0
% 185.94/30.29  | | | | | 
% 185.94/30.29  | | | | | BETA: splitting (43) gives:
% 185.94/30.29  | | | | | 
% 185.94/30.29  | | | | | Case 1:
% 185.94/30.29  | | | | | | 
% 185.94/30.29  | | | | | |   (154)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2,
% 185.94/30.29  | | | | | |              e2) = e1)
% 185.94/30.29  | | | | | | 
% 185.94/30.29  | | | | | | BETA: splitting (154) gives:
% 185.94/30.29  | | | | | | 
% 185.94/30.29  | | | | | | Case 1:
% 185.94/30.29  | | | | | | | 
% 185.94/30.29  | | | | | | |   (155)  all_56_2 = e1 & op(e2, e3) = e1
% 185.94/30.29  | | | | | | | 
% 185.94/30.29  | | | | | | | ALPHA: (155) implies:
% 185.94/30.29  | | | | | | |   (156)  all_56_2 = e1
% 185.94/30.29  | | | | | | |   (157)  op(e2, e3) = e1
% 185.94/30.29  | | | | | | | 
% 185.94/30.29  | | | | | | | BETA: splitting (139) gives:
% 185.94/30.29  | | | | | | | 
% 185.94/30.29  | | | | | | | Case 1:
% 185.94/30.29  | | | | | | | | 
% 185.94/30.29  | | | | | | | |   (158)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 &
% 185.94/30.29  | | | | | | | |            op(e2, e3) = e0)
% 185.94/30.29  | | | | | | | | 
% 185.94/30.29  | | | | | | | | REF_CLOSE: (12), (21), (67), (108), (156), (158) are
% 185.94/30.29  | | | | | | | |            inconsistent by sub-proof #1559.
% 185.94/30.29  | | | | | | | | 
% 185.94/30.29  | | | | | | | Case 2:
% 185.94/30.29  | | | | | | | | 
% 185.94/30.29  | | | | | | | |   (159)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 &
% 185.94/30.29  | | | | | | | |            op(e0, e3) = e0)
% 185.94/30.29  | | | | | | | | 
% 185.94/30.29  | | | | | | | | BETA: splitting (159) gives:
% 185.94/30.29  | | | | | | | | 
% 185.94/30.29  | | | | | | | | Case 1:
% 185.94/30.29  | | | | | | | | | 
% 185.94/30.29  | | | | | | | | |   (160)  all_56_6 = e0 & op(e1, e3) = e0
% 185.94/30.29  | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | ALPHA: (160) implies:
% 185.94/30.29  | | | | | | | | |   (161)  all_56_6 = e0
% 185.94/30.29  | | | | | | | | |   (162)  op(e1, e3) = e0
% 185.94/30.29  | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | BETA: splitting (84) gives:
% 185.94/30.29  | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | Case 1:
% 185.94/30.29  | | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | |   (163)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 185.94/30.29  | | | | | | | | | |            & op(e1, e2) = e2)
% 185.94/30.29  | | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | | BETA: splitting (163) gives:
% 185.94/30.29  | | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | | Case 1:
% 185.94/30.29  | | | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | | |   (164)  all_56_6 = e2 & op(e1, e3) = e2
% 185.94/30.29  | | | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | | | ALPHA: (164) implies:
% 185.94/30.29  | | | | | | | | | | |   (165)  all_56_6 = e2
% 185.94/30.29  | | | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | | | REF_CLOSE: (45), (161), (165) are inconsistent by sub-proof
% 185.94/30.29  | | | | | | | | | | |            #1592.
% 185.94/30.29  | | | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | | Case 2:
% 185.94/30.29  | | | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | | |   (166)  all_56_7 = e2 & op(e1, e2) = e2
% 185.94/30.29  | | | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | | | ALPHA: (166) implies:
% 185.94/30.29  | | | | | | | | | | |   (167)  op(e1, e2) = e2
% 185.94/30.29  | | | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | | | REF_CLOSE: (67), (75), (120), (167) are inconsistent by
% 185.94/30.29  | | | | | | | | | | |            sub-proof #1614.
% 185.94/30.29  | | | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | | End of split
% 185.94/30.29  | | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | Case 2:
% 185.94/30.29  | | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | |   (168)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2
% 185.94/30.29  | | | | | | | | | |            & op(e1, e0) = e2)
% 185.94/30.29  | | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | | BETA: splitting (168) gives:
% 185.94/30.29  | | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | | Case 1:
% 185.94/30.29  | | | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | | |   (169)  all_56_8 = e2 & op(e1, e1) = e2
% 185.94/30.29  | | | | | | | | | | | 
% 185.94/30.29  | | | | | | | | | | | ALPHA: (169) implies:
% 185.94/30.29  | | | | | | | | | | |   (170)  op(e1, e1) = e2
% 185.94/30.29  | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (10), (11),
% 185.94/30.30  | | | | | | | | | | |            (12), (13), (14), (16), (17), (20), (21), (22),
% 185.94/30.30  | | | | | | | | | | |            (23), (24), (26), (27), (29), (30), (31), (32),
% 185.94/30.30  | | | | | | | | | | |            (33), (34), (35), (36), (37), (38), (39), (40),
% 185.94/30.30  | | | | | | | | | | |            (41), (42), (44), (45), (47), (48), (49), (50),
% 185.94/30.30  | | | | | | | | | | |            (51), (52), (53), (54), (55), (56), (57), (58),
% 185.94/30.30  | | | | | | | | | | |            (59), (60), (61), (62), (63), (64), (65), (66),
% 185.94/30.30  | | | | | | | | | | |            (67), (68), (69), (70), (71), (72), (73), (74),
% 185.94/30.30  | | | | | | | | | | |            (75), (76), (77), (78), (79), (80), (81), (82),
% 185.94/30.30  | | | | | | | | | | |            (83), (84), (86), (87), (88), (90), (91), (92),
% 185.94/30.30  | | | | | | | | | | |            (93), (94), (95), (96), (97), (98), (101), (102),
% 185.94/30.30  | | | | | | | | | | |            (103), (104), (105), (106), (107), (108), (109),
% 185.94/30.30  | | | | | | | | | | |            (110), (111), (112), (113), (115), (116), (118),
% 185.94/30.30  | | | | | | | | | | |            (119), (120), (121), (122), (123), (125), (127),
% 185.94/30.30  | | | | | | | | | | |            (128), (129), (130), (131), (133), (134), (135),
% 185.94/30.30  | | | | | | | | | | |            (137), (138), (139), (140), (141), (142), (170)
% 185.94/30.30  | | | | | | | | | | |            are inconsistent by sub-proof #884.
% 185.94/30.30  | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | Case 2:
% 185.94/30.30  | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | |   (171)  all_56_11 = e2 & op(e1, e0) = e2
% 185.94/30.30  | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | ALPHA: (171) implies:
% 185.94/30.30  | | | | | | | | | | |   (172)  all_56_11 = e2
% 185.94/30.30  | | | | | | | | | | |   (173)  op(e1, e0) = e2
% 185.94/30.30  | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | BETA: splitting (38) gives:
% 185.94/30.30  | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | Case 1:
% 185.94/30.30  | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | |   (174)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 185.94/30.30  | | | | | | | | | | | |            & op(e2, e3) = e2)
% 185.94/30.30  | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | REF_CLOSE: (8), (21), (32), (43), (45), (46), (51), (67),
% 185.94/30.30  | | | | | | | | | | | |            (98), (110), (124), (125), (137), (174) are
% 185.94/30.30  | | | | | | | | | | | |            inconsistent by sub-proof #879.
% 185.94/30.30  | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | Case 2:
% 185.94/30.30  | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | |   (175)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 185.94/30.30  | | | | | | | | | | | |            e2 & op(e0, e3) = e2)
% 185.94/30.30  | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | BETA: splitting (175) gives:
% 185.94/30.30  | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | Case 1:
% 185.94/30.30  | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | |   (176)  all_56_6 = e2 & op(e1, e3) = e2
% 185.94/30.30  | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | ALPHA: (176) implies:
% 185.94/30.30  | | | | | | | | | | | | |   (177)  all_56_6 = e2
% 185.94/30.30  | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | REF_CLOSE: (45), (161), (177) are inconsistent by sub-proof
% 185.94/30.30  | | | | | | | | | | | | |            #1592.
% 185.94/30.30  | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | Case 2:
% 185.94/30.30  | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | |   (178)  all_56_12 = e2 & op(e0, e3) = e2
% 185.94/30.30  | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | ALPHA: (178) implies:
% 185.94/30.30  | | | | | | | | | | | | |   (179)  op(e0, e3) = e2
% 185.94/30.30  | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | BETA: splitting (76) gives:
% 185.94/30.30  | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | Case 1:
% 185.94/30.30  | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | |   (180)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 185.94/30.30  | | | | | | | | | | | | | |            & op(e3, e2) = e1)
% 185.94/30.30  | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | REF_CLOSE: (21), (51), (67), (124), (152), (180) are
% 185.94/30.30  | | | | | | | | | | | | | |            inconsistent by sub-proof #878.
% 185.94/30.30  | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | Case 2:
% 185.94/30.30  | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | |   (181)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 185.94/30.30  | | | | | | | | | | | | | |            & op(e3, e0) = e1)
% 185.94/30.30  | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 185.94/30.30  | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | Case 1:
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | |   (182)  all_56_4 = e1 & op(e3, e1) = e1
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | ALPHA: (182) implies:
% 185.94/30.30  | | | | | | | | | | | | | | |   (183)  all_56_4 = e1
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | REF_CLOSE: (28), (125), (183) are inconsistent by sub-proof
% 185.94/30.30  | | | | | | | | | | | | | | |            #877.
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | Case 2:
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | |   (184)  all_56_9 = e1 & op(e3, e0) = e1
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | ALPHA: (184) implies:
% 185.94/30.30  | | | | | | | | | | | | | | |   (185)  all_56_9 = e1
% 185.94/30.30  | | | | | | | | | | | | | | |   (186)  op(e3, e0) = e1
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | GROUND_INST: instantiating (67) with all_52_3, e2, e3, e0,
% 185.94/30.30  | | | | | | | | | | | | | | |              simplifying with (64), (179) gives:
% 185.94/30.30  | | | | | | | | | | | | | | |   (187)  all_52_3 = e2
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | GROUND_INST: instantiating (67) with all_52_14, e2, e0, e1,
% 185.94/30.30  | | | | | | | | | | | | | | |              simplifying with (24), (173) gives:
% 185.94/30.30  | | | | | | | | | | | | | | |   (188)  all_52_14 = e2
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | GROUND_INST: instantiating (67) with all_52_2, e0, e3, e1,
% 185.94/30.30  | | | | | | | | | | | | | | |              simplifying with (22), (162) gives:
% 185.94/30.30  | | | | | | | | | | | | | | |   (189)  all_52_2 = e0
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | GROUND_INST: instantiating (67) with all_52_9, e0, e1, e2,
% 185.94/30.30  | | | | | | | | | | | | | | |              simplifying with (40), (147) gives:
% 185.94/30.30  | | | | | | | | | | | | | | |   (190)  all_52_9 = e0
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | GROUND_INST: instantiating (67) with all_52_1, e1, e3, e2,
% 185.94/30.30  | | | | | | | | | | | | | | |              simplifying with (60), (157) gives:
% 185.94/30.30  | | | | | | | | | | | | | | |   (191)  all_52_1 = e1
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | GROUND_INST: instantiating (67) with all_52_12, e1, e0, e3,
% 185.94/30.30  | | | | | | | | | | | | | | |              simplifying with (44), (186) gives:
% 185.94/30.30  | | | | | | | | | | | | | | |   (192)  all_52_12 = e1
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | GROUND_INST: instantiating (67) with all_52_4, e0, e2, e3,
% 185.94/30.30  | | | | | | | | | | | | | | |              simplifying with (113), (153) gives:
% 185.94/30.30  | | | | | | | | | | | | | | |   (193)  all_52_4 = e0
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | COMBINE_EQS: (99), (190) imply:
% 185.94/30.30  | | | | | | | | | | | | | | |   (194)  all_57_20 = e0
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | REDUCE: (59), (188), (192) imply:
% 185.94/30.30  | | | | | | | | | | | | | | |   (195)   ~ (e2 = e1)
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | REDUCE: (114), (188) imply:
% 185.94/30.30  | | | | | | | | | | | | | | |   (196)   ~ (e3 = e2)
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | Case 1:
% 185.94/30.30  | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | |   (197)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.94/30.30  | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.94/30.30  | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.94/30.30  | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.94/30.30  | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.94/30.30  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.94/30.30  | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.94/30.30  | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.94/30.30  | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.94/30.30  | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.94/30.30  | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.94/30.30  | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.94/30.30  | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.94/30.30  | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.94/30.30  | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.94/30.30  | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.94/30.30  | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.94/30.30  | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.94/30.30  | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.94/30.30  | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.94/30.30  | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.94/30.30  | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.94/30.30  | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.94/30.30  | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.94/30.30  | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.94/30.30  | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.94/30.30  | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.94/30.30  | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.94/30.30  | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.94/30.30  | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.94/30.30  | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.94/30.30  | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.94/30.30  | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.94/30.30  | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.94/30.30  | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.94/30.30  | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.94/30.30  | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.94/30.30  | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.94/30.30  | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 185.94/30.30  | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.30  | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | |   (198)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.94/30.30  | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.94/30.30  | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.94/30.30  | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.94/30.30  | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.94/30.30  | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.94/30.30  | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.94/30.30  | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.94/30.30  | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.94/30.30  | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 185.94/30.30  | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 185.94/30.30  | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.30  | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | |   (199)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 185.94/30.30  | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (67), (153), (157), (199) are inconsistent
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            by sub-proof #1537.
% 185.94/30.30  | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.30  | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | |   (200)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 185.94/30.30  | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | ALPHA: (200) implies:
% 185.94/30.30  | | | | | | | | | | | | | | | | | |   (201)  op(e3, e1) = e3
% 185.94/30.30  | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (67), (106), (201) are inconsistent by
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            sub-proof #1346.
% 185.94/30.30  | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | End of split
% 185.94/30.30  | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.30  | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | |   (202)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.94/30.30  | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.94/30.30  | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.94/30.30  | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.94/30.30  | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.94/30.30  | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.94/30.30  | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.94/30.30  | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.94/30.30  | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.94/30.30  | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.94/30.30  | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | REF_CLOSE: (67), (98), (100), (113), (179), (202) are
% 185.94/30.30  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #876.
% 185.94/30.30  | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | End of split
% 185.94/30.30  | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | Case 2:
% 185.94/30.30  | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | |   (203)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.94/30.30  | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.94/30.30  | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.94/30.30  | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.94/30.30  | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.94/30.30  | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.94/30.30  | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.94/30.30  | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.94/30.30  | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.94/30.30  | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.94/30.30  | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.94/30.30  | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.94/30.30  | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.94/30.30  | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.94/30.30  | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.94/30.30  | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.94/30.30  | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.94/30.30  | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.94/30.30  | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 185.94/30.30  | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.94/30.30  | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.94/30.30  | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.94/30.30  | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.30  | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.94/30.30  | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.94/30.30  | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.94/30.30  | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.94/30.30  | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.94/30.30  | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.94/30.30  | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.94/30.30  | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.30  | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.94/30.30  | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.94/30.30  | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.94/30.30  | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.94/30.30  | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.94/30.30  | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.94/30.30  | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.94/30.30  | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.30  | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.30  | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.30  | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.94/30.30  | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.94/30.30  | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.94/30.30  | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.94/30.30  | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.30  | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.94/30.30  | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.94/30.30  | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.94/30.30  | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.94/30.30  | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.94/30.30  | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.94/30.30  | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.94/30.30  | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.94/30.30  | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.94/30.30  | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.94/30.30  | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 185.94/30.30  | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.30  | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | |   (204)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.94/30.30  | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.94/30.30  | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.94/30.30  | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.94/30.30  | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.94/30.30  | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.94/30.30  | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.94/30.30  | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.94/30.30  | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.94/30.30  | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 185.94/30.30  | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (67), (85), (89), (122), (128), (204) are
% 185.94/30.30  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1260.
% 185.94/30.30  | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.30  | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | |   (205)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.94/30.30  | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.94/30.30  | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.94/30.30  | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.94/30.30  | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.94/30.30  | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.30  | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.94/30.30  | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.94/30.30  | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.94/30.30  | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.30  | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.94/30.30  | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.94/30.30  | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.30  | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.94/30.30  | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.94/30.30  | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.94/30.30  | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.94/30.30  | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.94/30.30  | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.94/30.30  | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.94/30.30  | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 185.94/30.30  | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.30  | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | |   (206)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 185.94/30.30  | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 185.94/30.30  | | | | | | | | | | | | | | | | | |   (207)  op(e1, e3) = e1
% 185.94/30.30  | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (67), (162), (207) are inconsistent by
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            sub-proof #1251.
% 185.94/30.30  | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.30  | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | |   (208)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.94/30.30  | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.94/30.30  | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 185.94/30.30  | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |   (209)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | ALPHA: (209) implies:
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |   (210)  all_57_20 = e1
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (194), (210) imply:
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |   (211)  e1 = e0
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | SIMP: (211) implies:
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |   (212)  e1 = e0
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | REDUCE: (21), (212) imply:
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |   (213)  $false
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | CLOSE: (213) is inconsistent.
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |   (214)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |                    e0) = e0))))
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | ALPHA: (214) implies:
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |   (215)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |   (216)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |          ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |            all_57_22) = all_57_8 & op(e1, all_57_23) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |          all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |            e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |          $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |          $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | | ALPHA: (216) implies:
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |   (217)  op(e1, e0) = e1
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (67) with e2, e1, e0, e1,
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |              simplifying with (173), (217) gives:
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |   (218)  e2 = e1
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (172), (218) imply:
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |   (219)  all_56_11 = e1
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (53), (67), (96), (98), (125), (185),
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |            (219) are inconsistent by sub-proof #954.
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |   (220)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |            all_57_25) = all_57_12 & op(e0, all_57_26) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |          all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |            all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |          & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |          & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |          $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |          $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |              & all_57_25 = e0 & op(e3, e0) = e0) |
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |            (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0))
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (67), (132), (220) are inconsistent by sub-proof
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | |            #1584.
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.30  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.30  | | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | | End of split
% 185.94/30.30  | | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | | End of split
% 185.94/30.30  | | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | | End of split
% 185.94/30.30  | | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | | End of split
% 185.94/30.30  | | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | End of split
% 185.94/30.30  | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | End of split
% 185.94/30.30  | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | End of split
% 185.94/30.30  | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | End of split
% 185.94/30.30  | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | End of split
% 185.94/30.30  | | | | | | | | | 
% 185.94/30.30  | | | | | | | | Case 2:
% 185.94/30.30  | | | | | | | | | 
% 185.94/30.30  | | | | | | | | |   (221)  all_56_12 = e0 & op(e0, e3) = e0
% 185.94/30.30  | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | ALPHA: (221) implies:
% 185.94/30.30  | | | | | | | | |   (222)  all_56_12 = e0
% 185.94/30.30  | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | BETA: splitting (15) gives:
% 185.94/30.30  | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | Case 1:
% 185.94/30.30  | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | |   (223)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 185.94/30.30  | | | | | | | | | |            & op(e2, e2) = e1)
% 185.94/30.30  | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | REF_CLOSE: (21), (67), (125), (137), (152), (223) are
% 185.94/30.30  | | | | | | | | | |            inconsistent by sub-proof #1264.
% 185.94/30.30  | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | Case 2:
% 185.94/30.30  | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | |   (224)  (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1
% 185.94/30.30  | | | | | | | | | |            & op(e0, e2) = e1)
% 185.94/30.30  | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | BETA: splitting (224) gives:
% 185.94/30.30  | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | Case 1:
% 185.94/30.30  | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | |   (225)  all_56_7 = e1 & op(e1, e2) = e1
% 185.94/30.30  | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | ALPHA: (225) implies:
% 185.94/30.30  | | | | | | | | | | |   (226)  all_56_7 = e1
% 185.94/30.30  | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | BETA: splitting (41) gives:
% 185.94/30.30  | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | Case 1:
% 185.94/30.30  | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | |   (227)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 185.94/30.30  | | | | | | | | | | | |            & op(e1, e2) = e0)
% 185.94/30.30  | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | BETA: splitting (227) gives:
% 185.94/30.30  | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | Case 1:
% 185.94/30.30  | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | |   (228)  all_56_6 = e0 & op(e1, e3) = e0
% 185.94/30.30  | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | ALPHA: (228) implies:
% 185.94/30.30  | | | | | | | | | | | | |   (229)  all_56_6 = e0
% 185.94/30.30  | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | REF_CLOSE: (38), (45), (67), (98), (124), (125), (156),
% 185.94/30.30  | | | | | | | | | | | | |            (222), (229) are inconsistent by sub-proof #1362.
% 185.94/30.30  | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | Case 2:
% 185.94/30.30  | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | |   (230)  all_56_7 = e0 & op(e1, e2) = e0
% 185.94/30.30  | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | | REF_CLOSE: (21), (226), (230) are inconsistent by sub-proof
% 185.94/30.30  | | | | | | | | | | | | |            #875.
% 185.94/30.30  | | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | End of split
% 185.94/30.30  | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | Case 2:
% 185.94/30.30  | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | |   (231)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 185.94/30.30  | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 185.94/30.30  | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | | REF_CLOSE: (18), (19), (24), (32), (67), (231) are
% 185.94/30.30  | | | | | | | | | | | |            inconsistent by sub-proof #874.
% 185.94/30.30  | | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | End of split
% 185.94/30.30  | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | Case 2:
% 185.94/30.30  | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | |   (232)  all_56_13 = e1 & op(e0, e2) = e1
% 185.94/30.30  | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | ALPHA: (232) implies:
% 185.94/30.30  | | | | | | | | | | |   (233)  all_56_13 = e1
% 185.94/30.30  | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | | REF_CLOSE: (25), (51), (233) are inconsistent by sub-proof
% 185.94/30.30  | | | | | | | | | | |            #1357.
% 185.94/30.30  | | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | | End of split
% 185.94/30.30  | | | | | | | | | | 
% 185.94/30.30  | | | | | | | | | End of split
% 185.94/30.30  | | | | | | | | | 
% 185.94/30.30  | | | | | | | | End of split
% 185.94/30.30  | | | | | | | | 
% 185.94/30.30  | | | | | | | End of split
% 185.94/30.30  | | | | | | | 
% 185.94/30.30  | | | | | | Case 2:
% 185.94/30.30  | | | | | | | 
% 185.94/30.30  | | | | | | |   (234)  all_56_3 = e1 & op(e2, e2) = e1
% 185.94/30.30  | | | | | | | 
% 185.94/30.30  | | | | | | | ALPHA: (234) implies:
% 185.94/30.30  | | | | | | |   (235)  op(e2, e2) = e1
% 185.94/30.30  | | | | | | | 
% 185.94/30.30  | | | | | | | REF_CLOSE: (67), (125), (137), (235) are inconsistent by sub-proof
% 185.94/30.30  | | | | | | |            #1487.
% 185.94/30.30  | | | | | | | 
% 185.94/30.30  | | | | | | End of split
% 185.94/30.30  | | | | | | 
% 185.94/30.30  | | | | | Case 2:
% 185.94/30.30  | | | | | | 
% 185.94/30.30  | | | | | |   (236)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 &
% 185.94/30.30  | | | | | |            op(e2, e0) = e1)
% 185.94/30.30  | | | | | | 
% 185.94/30.30  | | | | | | BETA: splitting (236) gives:
% 185.94/30.30  | | | | | | 
% 185.94/30.30  | | | | | | Case 1:
% 185.94/30.30  | | | | | | | 
% 185.94/30.30  | | | | | | |   (237)  all_56_5 = e1 & op(e2, e1) = e1
% 185.94/30.30  | | | | | | | 
% 185.94/30.30  | | | | | | | ALPHA: (237) implies:
% 185.94/30.30  | | | | | | |   (238)  all_56_5 = e1
% 185.94/30.30  | | | | | | | 
% 185.94/30.30  | | | | | | | REF_CLOSE: (21), (146), (238) are inconsistent by sub-proof #981.
% 185.94/30.30  | | | | | | | 
% 185.94/30.30  | | | | | | Case 2:
% 185.94/30.30  | | | | | | | 
% 185.94/30.30  | | | | | | |   (239)  all_56_10 = e1 & op(e2, e0) = e1
% 185.94/30.30  | | | | | | | 
% 185.94/30.30  | | | | | | | ALPHA: (239) implies:
% 185.94/30.30  | | | | | | |   (240)  all_56_10 = e1
% 185.94/30.30  | | | | | | | 
% 185.94/30.30  | | | | | | | REF_CLOSE: (8), (51), (240) are inconsistent by sub-proof #1489.
% 185.94/30.30  | | | | | | | 
% 185.94/30.30  | | | | | | End of split
% 185.94/30.30  | | | | | | 
% 185.94/30.30  | | | | | End of split
% 185.94/30.30  | | | | | 
% 185.94/30.30  | | | | End of split
% 185.94/30.30  | | | | 
% 185.94/30.30  | | | Case 2:
% 185.94/30.30  | | | | 
% 185.94/30.30  | | | |   (241)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0)
% 185.94/30.30  | | | |            = e0)
% 185.94/30.30  | | | | 
% 185.94/30.30  | | | | BETA: splitting (241) gives:
% 185.94/30.30  | | | | 
% 185.94/30.30  | | | | Case 1:
% 185.94/30.30  | | | | | 
% 185.94/30.30  | | | | |   (242)  all_56_4 = e0 & op(e3, e1) = e0
% 185.94/30.30  | | | | | 
% 185.94/30.30  | | | | | REF_CLOSE: (28), (45), (242) are inconsistent by sub-proof #1190.
% 185.94/30.30  | | | | | 
% 185.94/30.30  | | | | Case 2:
% 185.94/30.30  | | | | | 
% 185.94/30.30  | | | | |   (243)  all_56_9 = e0 & op(e3, e0) = e0
% 185.94/30.30  | | | | | 
% 185.94/30.30  | | | | | ALPHA: (243) implies:
% 185.94/30.30  | | | | |   (244)  all_56_9 = e0
% 185.94/30.30  | | | | | 
% 185.94/30.30  | | | | | REF_CLOSE: (4), (8), (14), (21), (33), (45), (51), (53), (67), (95),
% 185.94/30.30  | | | | |            (96), (123), (125), (244) are inconsistent by sub-proof
% 185.94/30.30  | | | | |            #873.
% 185.94/30.30  | | | | | 
% 185.94/30.30  | | | | End of split
% 185.94/30.30  | | | | 
% 185.94/30.30  | | | End of split
% 185.94/30.30  | | | 
% 185.94/30.30  | | End of split
% 185.94/30.30  | | 
% 185.94/30.30  | Case 2:
% 185.94/30.30  | | 
% 185.94/30.30  | |   (245)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.94/30.30  | |            e0)
% 185.94/30.30  | | 
% 185.94/30.30  | | REF_CLOSE: (19), (32), (35), (67), (117), (126), (245) are inconsistent by
% 185.94/30.30  | |            sub-proof #872.
% 185.94/30.30  | | 
% 185.94/30.30  | End of split
% 185.94/30.30  | 
% 185.94/30.30  End of proof
% 185.94/30.30  
% 185.94/30.30  Sub-proof #872 shows that the following formulas are inconsistent:
% 185.94/30.30  ----------------------------------------------------------------
% 185.94/30.30    (1)  op(e1, e1) = e3
% 185.94/30.30    (2)   ~ (e3 = e0)
% 185.94/30.30    (3)  op(e0, e1) = all_52_11
% 185.94/30.30    (4)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.94/30.30    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.30           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.30    (6)  op(e0, e1) = all_57_27
% 185.94/30.30    (7)   ~ (all_52_11 = e0)
% 185.94/30.30  
% 185.94/30.30  Begin of proof
% 185.94/30.30  | 
% 185.94/30.30  | BETA: splitting (4) gives:
% 185.94/30.30  | 
% 185.94/30.30  | Case 1:
% 185.94/30.30  | | 
% 185.94/30.30  | |   (8)  all_56_8 = e0 & op(e1, e1) = e0
% 185.94/30.30  | | 
% 185.94/30.30  | | ALPHA: (8) implies:
% 185.94/30.30  | |   (9)  op(e1, e1) = e0
% 185.94/30.30  | | 
% 185.94/30.30  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1252.
% 185.94/30.30  | | 
% 185.94/30.30  | Case 2:
% 185.94/30.30  | | 
% 185.94/30.30  | |   (10)  all_56_14 = e0 & op(e0, e1) = e0
% 185.94/30.30  | | 
% 185.94/30.30  | | ALPHA: (10) implies:
% 185.94/30.30  | |   (11)  op(e0, e1) = e0
% 185.94/30.30  | | 
% 185.94/30.30  | | REF_CLOSE: (3), (5), (6), (7), (11) are inconsistent by sub-proof #902.
% 185.94/30.30  | | 
% 185.94/30.30  | End of split
% 185.94/30.30  | 
% 185.94/30.30  End of proof
% 185.94/30.30  
% 185.94/30.30  Sub-proof #873 shows that the following formulas are inconsistent:
% 185.94/30.30  ----------------------------------------------------------------
% 185.94/30.30    (1)  op(e0, e0) = all_6_2
% 185.94/30.30    (2)  all_56_10 = e3
% 185.94/30.30    (3)   ~ (all_6_2 = e1)
% 185.94/30.30    (4)   ~ (e1 = e0)
% 185.94/30.30    (5)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.94/30.30         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.94/30.30    (6)   ~ (e2 = e0)
% 185.94/30.30    (7)   ~ (e3 = e1)
% 185.94/30.30    (8)   ~ (all_6_2 = e2)
% 185.94/30.30    (9)  all_56_9 = e0
% 185.94/30.30    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.30            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.30    (11)  op(e2, e0) = all_52_13
% 185.94/30.30    (12)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.94/30.30          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.94/30.30    (13)   ~ (all_52_13 = e2)
% 185.94/30.30    (14)   ~ (e2 = e1)
% 185.94/30.30  
% 185.94/30.30  Begin of proof
% 185.94/30.30  | 
% 185.94/30.30  | BETA: splitting (12) gives:
% 185.94/30.30  | 
% 185.94/30.30  | Case 1:
% 185.94/30.30  | | 
% 185.94/30.30  | |   (15)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 185.94/30.30  | |           e2)
% 185.94/30.30  | | 
% 185.94/30.30  | | BETA: splitting (15) gives:
% 185.94/30.30  | | 
% 185.94/30.30  | | Case 1:
% 185.94/30.30  | | | 
% 185.94/30.30  | | |   (16)  all_56_9 = e2 & op(e3, e0) = e2
% 185.94/30.30  | | | 
% 185.94/30.30  | | | ALPHA: (16) implies:
% 185.94/30.30  | | |   (17)  all_56_9 = e2
% 185.94/30.30  | | | 
% 185.94/30.30  | | | REF_CLOSE: (6), (9), (17) are inconsistent by sub-proof #1570.
% 185.94/30.30  | | | 
% 185.94/30.30  | | Case 2:
% 185.94/30.30  | | | 
% 185.94/30.30  | | |   (18)  all_56_10 = e2 & op(e2, e0) = e2
% 185.94/30.30  | | | 
% 185.94/30.30  | | | ALPHA: (18) implies:
% 185.94/30.30  | | |   (19)  op(e2, e0) = e2
% 185.94/30.30  | | | 
% 185.94/30.30  | | | REF_CLOSE: (10), (11), (13), (19) are inconsistent by sub-proof #1562.
% 185.94/30.30  | | | 
% 185.94/30.30  | | End of split
% 185.94/30.30  | | 
% 185.94/30.30  | Case 2:
% 185.94/30.30  | | 
% 185.94/30.30  | |   (20)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.94/30.30  | |           e2)
% 185.94/30.30  | | 
% 185.94/30.30  | | BETA: splitting (20) gives:
% 185.94/30.30  | | 
% 185.94/30.30  | | Case 1:
% 185.94/30.30  | | | 
% 185.94/30.30  | | |   (21)  all_56_11 = e2 & op(e1, e0) = e2
% 185.94/30.30  | | | 
% 185.94/30.30  | | | ALPHA: (21) implies:
% 185.94/30.30  | | |   (22)  all_56_11 = e2
% 185.94/30.30  | | | 
% 185.94/30.30  | | | BETA: splitting (5) gives:
% 185.94/30.30  | | | 
% 185.94/30.30  | | | Case 1:
% 185.94/30.30  | | | | 
% 185.94/30.30  | | | |   (23)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0)
% 185.94/30.30  | | | |           = e1)
% 185.94/30.30  | | | | 
% 185.94/30.30  | | | | BETA: splitting (23) gives:
% 185.94/30.30  | | | | 
% 185.94/30.30  | | | | Case 1:
% 185.94/30.30  | | | | | 
% 185.94/30.30  | | | | |   (24)  all_56_9 = e1 & op(e3, e0) = e1
% 185.94/30.30  | | | | | 
% 185.94/30.30  | | | | | ALPHA: (24) implies:
% 185.94/30.30  | | | | |   (25)  all_56_9 = e1
% 185.94/30.30  | | | | | 
% 185.94/30.30  | | | | | REF_CLOSE: (4), (9), (25) are inconsistent by sub-proof #1484.
% 185.94/30.30  | | | | | 
% 185.94/30.30  | | | | Case 2:
% 185.94/30.30  | | | | | 
% 185.94/30.30  | | | | |   (26)  all_56_10 = e1 & op(e2, e0) = e1
% 185.94/30.30  | | | | | 
% 185.94/30.30  | | | | | ALPHA: (26) implies:
% 185.94/30.31  | | | | |   (27)  all_56_10 = e1
% 185.94/30.31  | | | | | 
% 185.94/30.31  | | | | | REF_CLOSE: (2), (7), (27) are inconsistent by sub-proof #1489.
% 185.94/30.31  | | | | | 
% 185.94/30.31  | | | | End of split
% 185.94/30.31  | | | | 
% 185.94/30.31  | | | Case 2:
% 185.94/30.31  | | | | 
% 185.94/30.31  | | | |   (28)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 185.94/30.31  | | | |             e0) = e1)
% 185.94/30.31  | | | | 
% 185.94/30.31  | | | | REF_CLOSE: (1), (3), (10), (14), (22), (28) are inconsistent by
% 185.94/30.31  | | | |            sub-proof #1139.
% 185.94/30.31  | | | | 
% 185.94/30.31  | | | End of split
% 185.94/30.31  | | | 
% 185.94/30.31  | | Case 2:
% 185.94/30.31  | | | 
% 185.94/30.31  | | |   (29)  all_56_15 = e2 & op(e0, e0) = e2
% 185.94/30.31  | | | 
% 185.94/30.31  | | | ALPHA: (29) implies:
% 185.94/30.31  | | |   (30)  op(e0, e0) = e2
% 185.94/30.31  | | | 
% 185.94/30.31  | | | REF_CLOSE: (1), (8), (10), (30) are inconsistent by sub-proof #1511.
% 185.94/30.31  | | | 
% 185.94/30.31  | | End of split
% 185.94/30.31  | | 
% 185.94/30.31  | End of split
% 185.94/30.31  | 
% 185.94/30.31  End of proof
% 185.94/30.31  
% 185.94/30.31  Sub-proof #874 shows that the following formulas are inconsistent:
% 185.94/30.31  ----------------------------------------------------------------
% 185.94/30.31    (1)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.94/30.31    (2)   ~ (all_52_14 = e0)
% 185.94/30.31    (3)  op(e1, e1) = e3
% 185.94/30.31    (4)  op(e1, e0) = all_52_14
% 185.94/30.31    (5)   ~ (e3 = e0)
% 185.94/30.31    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.31  
% 185.94/30.31  Begin of proof
% 185.94/30.31  | 
% 185.94/30.31  | BETA: splitting (1) gives:
% 185.94/30.31  | 
% 185.94/30.31  | Case 1:
% 185.94/30.31  | | 
% 185.94/30.31  | |   (7)  all_56_8 = e0 & op(e1, e1) = e0
% 185.94/30.31  | | 
% 185.94/30.31  | | ALPHA: (7) implies:
% 185.94/30.31  | |   (8)  op(e1, e1) = e0
% 185.94/30.31  | | 
% 185.94/30.31  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1252.
% 185.94/30.31  | | 
% 185.94/30.31  | Case 2:
% 185.94/30.31  | | 
% 185.94/30.31  | |   (9)  all_56_11 = e0 & op(e1, e0) = e0
% 185.94/30.31  | | 
% 185.94/30.31  | | ALPHA: (9) implies:
% 185.94/30.31  | |   (10)  op(e1, e0) = e0
% 185.94/30.31  | | 
% 185.94/30.31  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1318.
% 185.94/30.31  | | 
% 185.94/30.31  | End of split
% 185.94/30.31  | 
% 185.94/30.31  End of proof
% 185.94/30.31  
% 185.94/30.31  Sub-proof #875 shows that the following formulas are inconsistent:
% 185.94/30.31  ----------------------------------------------------------------
% 185.94/30.31    (1)  all_56_7 = e0 & op(e1, e2) = e0
% 185.94/30.31    (2)  all_56_7 = e1
% 185.94/30.31    (3)   ~ (e1 = e0)
% 185.94/30.31  
% 185.94/30.31  Begin of proof
% 185.94/30.31  | 
% 185.94/30.31  | ALPHA: (1) implies:
% 185.94/30.31  |   (4)  all_56_7 = e0
% 185.94/30.31  | 
% 185.94/30.31  | COMBINE_EQS: (2), (4) imply:
% 185.94/30.31  |   (5)  e1 = e0
% 185.94/30.31  | 
% 185.94/30.31  | REDUCE: (3), (5) imply:
% 185.94/30.31  |   (6)  $false
% 185.94/30.31  | 
% 185.94/30.31  | CLOSE: (6) is inconsistent.
% 185.94/30.31  | 
% 185.94/30.31  End of proof
% 185.94/30.31  
% 185.94/30.31  Sub-proof #876 shows that the following formulas are inconsistent:
% 185.94/30.31  ----------------------------------------------------------------
% 185.94/30.31    (1)  op(e0, e3) = e2
% 185.94/30.31    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.31    (3)   ~ (e3 = e2)
% 185.94/30.31    (4)   ~ (all_52_4 = e2)
% 185.94/30.31    (5)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 185.94/30.31             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.94/30.31           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.94/30.31             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.94/30.31           all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 185.94/30.31           & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.94/30.31           $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2
% 185.94/30.31           & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.94/30.31           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.94/30.31             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.94/30.31             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 185.94/30.31           op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 185.94/30.31           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.94/30.31           $i(all_57_29))
% 185.94/30.31    (6)  op(e3, e2) = all_52_4
% 185.94/30.31  
% 185.94/30.31  Begin of proof
% 185.94/30.31  | 
% 185.94/30.31  | BETA: splitting (5) gives:
% 185.94/30.31  | 
% 185.94/30.31  | Case 1:
% 185.94/30.31  | | 
% 185.94/30.31  | |   (7)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0
% 185.94/30.31  | |          = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 =
% 185.94/30.31  | |          e0) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 &
% 185.94/30.31  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.94/30.31  | |        all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) =
% 185.94/30.31  | |        e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.94/30.31  | |        $i(all_57_17) & $i(all_57_28)
% 185.94/30.31  | | 
% 185.94/30.31  | | ALPHA: (7) implies:
% 185.94/30.31  | |   (8)  op(e0, e3) = e3
% 185.94/30.31  | | 
% 185.94/30.31  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1039.
% 185.94/30.31  | | 
% 185.94/30.31  | Case 2:
% 185.94/30.31  | | 
% 185.94/30.31  | |   (9)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5
% 185.94/30.31  | |          = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 185.94/30.31  | |          e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.94/30.31  | |          all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) =
% 185.94/30.31  | |        e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 185.94/30.31  | |        all_57_21 & $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.94/30.31  | |        $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 185.94/30.31  | | 
% 185.94/30.31  | | ALPHA: (9) implies:
% 185.94/30.31  | |   (10)  op(e3, e2) = e2
% 185.94/30.31  | | 
% 185.94/30.31  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #1382.
% 185.94/30.31  | | 
% 185.94/30.31  | End of split
% 185.94/30.31  | 
% 185.94/30.31  End of proof
% 185.94/30.31  
% 185.94/30.31  Sub-proof #877 shows that the following formulas are inconsistent:
% 185.94/30.31  ----------------------------------------------------------------
% 185.94/30.31    (1)  all_56_4 = e2
% 185.94/30.31    (2)  all_56_4 = e1
% 185.94/30.31    (3)   ~ (e2 = e1)
% 185.94/30.31  
% 185.94/30.31  Begin of proof
% 185.94/30.31  | 
% 185.94/30.31  | COMBINE_EQS: (1), (2) imply:
% 185.94/30.31  |   (4)  e2 = e1
% 185.94/30.31  | 
% 185.94/30.31  | SIMP: (4) implies:
% 185.94/30.31  |   (5)  e2 = e1
% 185.94/30.31  | 
% 185.94/30.31  | REDUCE: (3), (5) imply:
% 185.94/30.31  |   (6)  $false
% 185.94/30.31  | 
% 185.94/30.31  | CLOSE: (6) is inconsistent.
% 185.94/30.31  | 
% 185.94/30.31  End of proof
% 185.94/30.31  
% 185.94/30.31  Sub-proof #878 shows that the following formulas are inconsistent:
% 185.94/30.31  ----------------------------------------------------------------
% 185.94/30.31    (1)   ~ (e1 = e0)
% 185.94/30.31    (2)  all_56_1 = e0
% 185.94/30.31    (3)   ~ (e3 = e1)
% 185.94/30.31    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.31    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 185.94/30.31    (6)  op(e3, e3) = e3
% 185.94/30.31  
% 185.94/30.31  Begin of proof
% 185.94/30.31  | 
% 185.94/30.31  | BETA: splitting (5) gives:
% 185.94/30.31  | 
% 185.94/30.31  | Case 1:
% 185.94/30.31  | | 
% 185.94/30.31  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 185.94/30.31  | | 
% 185.94/30.31  | | ALPHA: (7) implies:
% 185.94/30.31  | |   (8)  op(e3, e3) = e1
% 185.94/30.31  | | 
% 185.94/30.31  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #1600.
% 185.94/30.31  | | 
% 185.94/30.31  | Case 2:
% 185.94/30.31  | | 
% 185.94/30.31  | |   (9)  all_56_1 = e1 & op(e3, e2) = e1
% 185.94/30.31  | | 
% 185.94/30.31  | | ALPHA: (9) implies:
% 185.94/30.31  | |   (10)  all_56_1 = e1
% 185.94/30.31  | | 
% 185.94/30.31  | | REF_CLOSE: (1), (2), (10) are inconsistent by sub-proof #1432.
% 185.94/30.31  | | 
% 185.94/30.31  | End of split
% 185.94/30.31  | 
% 185.94/30.31  End of proof
% 185.94/30.31  
% 185.94/30.31  Sub-proof #879 shows that the following formulas are inconsistent:
% 185.94/30.31  ----------------------------------------------------------------
% 185.94/30.31    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 185.94/30.31    (2)  all_56_10 = e3
% 185.94/30.31    (3)   ~ (e1 = e0)
% 185.94/30.31    (4)   ~ (e3 = e0)
% 185.94/30.31    (5)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.94/30.31         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.94/30.31    (6)   ~ (e2 = e0)
% 185.94/30.31    (7)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.94/30.31         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.94/30.31    (8)   ~ (e3 = e1)
% 185.94/30.31    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.31    (10)   ~ (e3 = e2)
% 185.94/30.31    (11)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.94/30.31          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.94/30.31    (12)  op(e3, e3) = e3
% 185.94/30.31    (13)   ~ (e2 = e1)
% 185.94/30.31    (14)  op(e2, e2) = e2
% 185.94/30.31  
% 185.94/30.31  Begin of proof
% 185.94/30.31  | 
% 185.94/30.31  | BETA: splitting (1) gives:
% 185.94/30.31  | 
% 185.94/30.31  | Case 1:
% 185.94/30.31  | | 
% 185.94/30.31  | |   (15)  all_56_0 = e2 & op(e3, e3) = e2
% 185.94/30.31  | | 
% 185.94/30.31  | | ALPHA: (15) implies:
% 185.94/30.31  | |   (16)  op(e3, e3) = e2
% 185.94/30.31  | | 
% 185.94/30.31  | | REF_CLOSE: (9), (10), (12), (16) are inconsistent by sub-proof #1594.
% 185.94/30.31  | | 
% 185.94/30.31  | Case 2:
% 185.94/30.31  | | 
% 185.94/30.31  | |   (17)  all_56_2 = e2 & op(e2, e3) = e2
% 185.94/30.31  | | 
% 185.94/30.31  | | ALPHA: (17) implies:
% 185.94/30.31  | |   (18)  all_56_2 = e2
% 185.94/30.31  | |   (19)  op(e2, e3) = e2
% 185.94/30.31  | | 
% 185.94/30.31  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 185.94/30.31  | |            (18), (19) are inconsistent by sub-proof #880.
% 185.94/30.31  | | 
% 185.94/30.31  | End of split
% 185.94/30.31  | 
% 185.94/30.31  End of proof
% 185.94/30.31  
% 185.94/30.31  Sub-proof #880 shows that the following formulas are inconsistent:
% 185.94/30.31  ----------------------------------------------------------------
% 185.94/30.31    (1)  all_56_10 = e3
% 185.94/30.31    (2)   ~ (e1 = e0)
% 185.94/30.31    (3)  all_56_2 = e2
% 185.94/30.31    (4)   ~ (e3 = e0)
% 185.94/30.31    (5)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 185.94/30.31         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 185.94/30.31    (6)   ~ (e2 = e0)
% 185.94/30.31    (7)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.94/30.31         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.94/30.31    (8)   ~ (e3 = e1)
% 185.94/30.31    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.31    (10)  op(e2, e3) = e2
% 185.94/30.31    (11)   ~ (e3 = e2)
% 185.94/30.31    (12)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.94/30.31          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.94/30.31    (13)   ~ (e2 = e1)
% 185.94/30.31    (14)  op(e2, e2) = e2
% 185.94/30.31  
% 185.94/30.31  Begin of proof
% 185.94/30.31  | 
% 185.94/30.31  | BETA: splitting (5) gives:
% 185.94/30.31  | 
% 185.94/30.31  | Case 1:
% 185.94/30.31  | | 
% 185.94/30.31  | |   (15)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 185.94/30.31  | |           e1)
% 185.94/30.31  | | 
% 185.94/30.31  | | REF_CLOSE: (3), (9), (13), (14), (15) are inconsistent by sub-proof #1415.
% 185.94/30.31  | | 
% 185.94/30.31  | Case 2:
% 185.94/30.31  | | 
% 185.94/30.31  | |   (16)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 185.94/30.31  | |           e1)
% 185.94/30.31  | | 
% 185.94/30.31  | | BETA: splitting (16) gives:
% 185.94/30.31  | | 
% 185.94/30.31  | | Case 1:
% 185.94/30.31  | | | 
% 185.94/30.31  | | |   (17)  all_56_5 = e1 & op(e2, e1) = e1
% 185.94/30.31  | | | 
% 185.94/30.31  | | | ALPHA: (17) implies:
% 185.94/30.31  | | |   (18)  all_56_5 = e1
% 185.94/30.31  | | | 
% 185.94/30.31  | | | REF_CLOSE: (1), (2), (4), (6), (7), (9), (10), (14), (18) are inconsistent
% 185.94/30.31  | | |            by sub-proof #881.
% 185.94/30.31  | | | 
% 185.94/30.31  | | Case 2:
% 185.94/30.31  | | | 
% 185.94/30.31  | | |   (19)  all_56_10 = e1 & op(e2, e0) = e1
% 185.94/30.31  | | | 
% 185.94/30.31  | | | ALPHA: (19) implies:
% 185.94/30.31  | | |   (20)  all_56_10 = e1
% 185.94/30.31  | | | 
% 185.94/30.31  | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (14), (20)
% 185.94/30.31  | | |            are inconsistent by sub-proof #1407.
% 185.94/30.31  | | | 
% 185.94/30.31  | | End of split
% 185.94/30.31  | | 
% 185.94/30.31  | End of split
% 185.94/30.31  | 
% 185.94/30.31  End of proof
% 185.94/30.31  
% 185.94/30.31  Sub-proof #881 shows that the following formulas are inconsistent:
% 185.94/30.31  ----------------------------------------------------------------
% 185.94/30.31    (1)  all_56_10 = e3
% 185.94/30.31    (2)   ~ (e1 = e0)
% 185.94/30.31    (3)   ~ (e3 = e0)
% 185.94/30.31    (4)   ~ (e2 = e0)
% 185.94/30.31    (5)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.94/30.31         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 185.94/30.31    (6)  all_56_5 = e1
% 185.94/30.31    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.31           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.31    (8)  op(e2, e3) = e2
% 185.94/30.31    (9)  op(e2, e2) = e2
% 185.94/30.31  
% 185.94/30.31  Begin of proof
% 185.94/30.31  | 
% 185.94/30.31  | BETA: splitting (5) gives:
% 185.94/30.31  | 
% 185.94/30.31  | Case 1:
% 185.94/30.31  | | 
% 185.94/30.31  | |   (10)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 185.94/30.31  | |           e0)
% 185.94/30.31  | | 
% 185.94/30.31  | | REF_CLOSE: (4), (7), (8), (9), (10) are inconsistent by sub-proof #1411.
% 185.94/30.31  | | 
% 185.94/30.31  | Case 2:
% 185.94/30.31  | | 
% 185.94/30.31  | |   (11)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 185.94/30.31  | |           e0)
% 185.94/30.31  | | 
% 185.94/30.31  | | BETA: splitting (11) gives:
% 185.94/30.31  | | 
% 185.94/30.31  | | Case 1:
% 185.94/30.31  | | | 
% 185.94/30.31  | | |   (12)  all_56_5 = e0 & op(e2, e1) = e0
% 185.94/30.31  | | | 
% 185.94/30.31  | | | REF_CLOSE: (2), (6), (12) are inconsistent by sub-proof #883.
% 185.94/30.31  | | | 
% 185.94/30.31  | | Case 2:
% 185.94/30.31  | | | 
% 185.94/30.31  | | |   (13)  all_56_10 = e0 & op(e2, e0) = e0
% 185.94/30.31  | | | 
% 185.94/30.31  | | | REF_CLOSE: (1), (3), (13) are inconsistent by sub-proof #882.
% 185.94/30.31  | | | 
% 185.94/30.31  | | End of split
% 185.94/30.31  | | 
% 185.94/30.31  | End of split
% 185.94/30.31  | 
% 185.94/30.31  End of proof
% 185.94/30.31  
% 185.94/30.31  Sub-proof #882 shows that the following formulas are inconsistent:
% 185.94/30.31  ----------------------------------------------------------------
% 185.94/30.31    (1)  all_56_10 = e0 & op(e2, e0) = e0
% 185.94/30.31    (2)  all_56_10 = e3
% 185.94/30.31    (3)   ~ (e3 = e0)
% 185.94/30.31  
% 185.94/30.31  Begin of proof
% 185.94/30.31  | 
% 185.94/30.31  | ALPHA: (1) implies:
% 185.94/30.31  |   (4)  all_56_10 = e0
% 185.94/30.31  | 
% 185.94/30.31  | COMBINE_EQS: (2), (4) imply:
% 185.94/30.31  |   (5)  e3 = e0
% 185.94/30.31  | 
% 185.94/30.31  | REDUCE: (3), (5) imply:
% 185.94/30.31  |   (6)  $false
% 185.94/30.31  | 
% 185.94/30.31  | CLOSE: (6) is inconsistent.
% 185.94/30.31  | 
% 185.94/30.31  End of proof
% 185.94/30.31  
% 185.94/30.31  Sub-proof #883 shows that the following formulas are inconsistent:
% 185.94/30.31  ----------------------------------------------------------------
% 185.94/30.31    (1)  all_56_5 = e0 & op(e2, e1) = e0
% 185.94/30.31    (2)  all_56_5 = e1
% 185.94/30.31    (3)   ~ (e1 = e0)
% 185.94/30.31  
% 185.94/30.31  Begin of proof
% 185.94/30.31  | 
% 185.94/30.31  | ALPHA: (1) implies:
% 185.94/30.31  |   (4)  all_56_5 = e0
% 185.94/30.31  | 
% 185.94/30.31  | COMBINE_EQS: (2), (4) imply:
% 185.94/30.31  |   (5)  e1 = e0
% 185.94/30.31  | 
% 185.94/30.31  | REDUCE: (3), (5) imply:
% 185.94/30.31  |   (6)  $false
% 185.94/30.31  | 
% 185.94/30.31  | CLOSE: (6) is inconsistent.
% 185.94/30.31  | 
% 185.94/30.31  End of proof
% 185.94/30.31  
% 185.94/30.31  Sub-proof #884 shows that the following formulas are inconsistent:
% 185.94/30.31  ----------------------------------------------------------------
% 185.94/30.31    (1)   ~ (all_52_12 = all_4_2)
% 185.94/30.31    (2)  all_54_6 = all_52_9
% 185.94/30.31    (3)   ~ (all_52_8 = all_52_11)
% 185.94/30.31    (4)  op(e0, e0) = all_6_2
% 185.94/30.31    (5)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 185.94/30.31    (6)   ~ (all_52_4 = all_52_12)
% 185.94/30.31    (7)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.94/30.31         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.94/30.31    (8)   ~ (all_32_2 = e3) | ( ~ (all_32_0 = e2) & op(e3, e3) = all_32_0 &
% 185.94/30.31           $i(all_32_0)) | ( ~ (all_32_1 = e1) & op(e3, e0) = all_32_1 &
% 185.94/30.31           $i(all_32_1))
% 185.94/30.31    (9)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.94/30.31    (10)   ~ (all_4_2 = e0)
% 185.94/30.31    (11)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.94/30.31          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.94/30.31    (12)   ~ (all_6_2 = e1)
% 185.94/30.31    (13)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.94/30.31          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.94/30.31    (14)   ~ (all_52_6 = all_52_14)
% 185.94/30.31    (15)  op(e1, e1) = all_57_30
% 185.94/30.31    (16)   ~ (e1 = e0)
% 185.94/30.31    (17)  op(e1, e3) = all_52_2
% 185.94/30.31    (18)   ~ (all_52_1 = all_4_2)
% 185.94/30.31    (19)  op(e1, e0) = all_52_14
% 185.94/30.31    (20)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 185.94/30.31          | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0, e0) =
% 185.94/30.31            e1) | ( ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 & $i(all_57_20))
% 185.94/30.31    (21)   ~ (all_52_2 = all_52_6)
% 185.94/30.31    (22)  all_54_15 = all_6_2
% 185.94/30.31    (23)   ~ (all_52_13 = all_52_14)
% 185.94/30.31    (24)  all_54_0 = all_4_2
% 185.94/30.31    (25)   ~ (e3 = e0)
% 185.94/30.31    (26)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.94/30.31          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.94/30.31    (27)   ~ (all_52_3 = all_52_7)
% 185.94/30.31    (28)  op(e0, e1) = all_52_11
% 185.94/30.31    (29)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.94/30.31          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.94/30.31    (30)   ~ (all_52_13 = all_6_2)
% 185.94/30.31    (31)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.94/30.31          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.94/30.31    (32)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.94/30.31          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.94/30.31    (33)  op(e2, e1) = all_52_9
% 185.94/30.31    (34)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.94/30.31          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.94/30.31    (35)   ~ (all_52_11 = all_6_2)
% 185.94/30.31    (36)  op(e3, e0) = all_52_12
% 185.94/30.31    (37)   ~ (e2 = e0)
% 185.94/30.31    (38)  all_54_13 = all_52_7
% 185.94/30.31    (39)   ~ (all_52_6 = all_52_7)
% 185.94/30.31    (40)   ~ (all_52_12 = all_52_13)
% 185.94/30.31    (41)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.94/30.31          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.94/30.31    (42)   ~ (e3 = e1)
% 185.94/30.31    (43)   ~ (all_52_4 = all_52_7)
% 185.94/30.31    (44)   ~ (all_6_2 = e2)
% 185.94/30.31    (45)   ~ (all_52_9 = all_52_13)
% 185.94/30.31    (46)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 185.94/30.31    (47)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.94/30.31          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.94/30.31    (48)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 185.94/30.31    (49)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 185.94/30.31    (50)   ~ (all_52_12 = all_52_14)
% 185.94/30.31    (51)  op(e2, e3) = all_52_1
% 185.94/30.31    (52)  all_54_4 = all_52_1
% 185.94/30.31    (53)   ~ (all_52_1 = all_52_2)
% 185.94/30.31    (54)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 185.94/30.31    (55)  op(e0, e3) = all_52_3
% 185.94/30.31    (56)   ~ (all_52_4 = all_52_8)
% 185.94/30.31    (57)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.94/30.31    (58)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.31            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.31    (59)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.94/30.31          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.94/30.31    (60)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 185.94/30.31    (61)   ~ (all_52_1 = all_52_13)
% 185.94/30.31    (62)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 185.94/30.31          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 185.94/30.31            e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 & $i(all_57_24))
% 185.94/30.31    (63)  all_54_7 = all_52_13
% 185.94/30.31    (64)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.94/30.31    (65)  all_57_31 = all_6_2
% 185.94/30.31    (66)   ~ (all_52_6 = e2)
% 185.94/30.31    (67)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.94/30.31          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.94/30.31    (68)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 185.94/30.31              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 185.94/30.31            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.94/30.31              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.94/30.31            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 185.94/30.31            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 185.94/30.31            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 185.94/30.31            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 185.94/30.31            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 185.94/30.31            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.94/30.31              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 185.94/30.31              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.94/30.31            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.94/30.31          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 185.94/30.31              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 185.94/30.31            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.94/30.31              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.94/30.31            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 185.94/30.31            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.94/30.31            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 185.94/30.31            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.94/30.31            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.94/30.31              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.94/30.31              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 185.94/30.31            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 185.94/30.31            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.94/30.31            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 185.94/30.31            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 185.94/30.31            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 185.94/30.31            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 185.94/30.31            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.94/30.31            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 185.94/30.31            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 185.94/30.31            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 185.94/30.31              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 185.94/30.31            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 185.94/30.31            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 185.94/30.31              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 185.94/30.31            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 185.94/30.31            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 185.94/30.31            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 185.94/30.31            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.31            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.94/30.31              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 185.94/30.31              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 185.94/30.31            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 185.94/30.31            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 185.94/30.31              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 185.94/30.31            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 185.94/30.31            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.94/30.31            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 185.94/30.31            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 185.94/30.31            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 185.94/30.31                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 185.94/30.31                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 185.94/30.31                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.31                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 185.94/30.31                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.31                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.94/30.31                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.94/30.31                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.94/30.31                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.94/30.31                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.94/30.31                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 185.94/30.31                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.94/30.31                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 185.94/30.31                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 185.94/30.31                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 185.94/30.31                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 185.94/30.31    (69)  all_54_8 = all_52_2
% 185.94/30.31    (70)  all_54_11 = all_52_14
% 185.94/30.31    (71)   ~ (all_57_30 = e1)
% 185.94/30.31    (72)   ~ (all_52_8 = all_52_12)
% 185.94/30.31    (73)  all_32_2 = all_6_2
% 185.94/30.31    (74)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.94/30.31          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.94/30.31    (75)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.94/30.31          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.94/30.31    (76)   ~ (all_52_9 = all_52_11)
% 185.94/30.31    (77)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.94/30.31          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.94/30.31    (78)  all_54_9 = all_52_6
% 185.94/30.31    (79)   ~ (all_52_8 = all_52_9)
% 185.94/30.31    (80)   ~ (all_52_7 = all_6_2)
% 185.94/30.31    (81)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.94/30.31          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.94/30.31    (82)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.94/30.31          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.94/30.31            e1)
% 185.94/30.31    (83)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.94/30.31          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.94/30.31    (84)  op(e2, e0) = all_52_13
% 185.94/30.31    (85)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.94/30.31          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.94/30.31    (86)  op(e3, e1) = all_57_17
% 185.94/30.31    (87)   ~ (e3 = e2)
% 185.94/30.31    (88)   ~ (all_52_2 = all_4_2)
% 185.94/30.31    (89)   ~ (all_52_12 = all_6_2)
% 185.94/30.31    (90)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.94/30.31          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.94/30.31    (91)  all_54_2 = all_52_8
% 185.94/30.31    (92)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.94/30.31    (93)  op(e3, e1) = all_52_8
% 185.94/30.31    (94)   ~ (all_52_2 = all_52_3)
% 185.94/30.31    (95)  op(e3, e3) = all_4_2
% 185.94/30.31    (96)   ~ (all_52_1 = all_52_3)
% 185.94/30.31    (97)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.94/30.31          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.94/30.31    (98)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 185.94/30.31          | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0, e0) =
% 185.94/30.31            e1) | ( ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 & $i(all_57_27))
% 185.94/30.31    (99)   ~ (all_52_14 = all_6_2)
% 185.94/30.31    (100)  op(e3, e2) = all_52_4
% 185.94/30.31    (101)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 185.94/30.31           | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 185.94/30.31             e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 & $i(all_57_18))
% 185.94/30.31    (102)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.94/30.31           | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.94/30.31             e3)
% 185.94/30.31    (103)   ~ (all_52_4 = all_4_2)
% 185.94/30.31    (104)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.94/30.31           (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.94/30.31    (105)  op(e1, e2) = all_52_6
% 185.94/30.31    (106)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 185.94/30.31    (107)   ~ (all_52_7 = e2)
% 185.94/30.31    (108)   ~ (all_52_13 = e2)
% 185.94/30.31    (109)  op(e1, e1) = e2
% 185.94/30.31    (110)   ~ (e2 = e1)
% 185.94/30.31    (111)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.94/30.31           | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.94/30.31             e2)
% 185.94/30.31    (112)  op(e0, e2) = all_52_7
% 185.94/30.31    (113)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 185.94/30.31    (114)   ~ (all_52_1 = all_52_9)
% 185.94/30.31    (115)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) =
% 185.94/30.31                 e0) | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 185.94/30.31                 op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 185.94/30.31               (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.94/30.31                 e0)))
% 185.94/30.31    (116)   ~ (all_52_2 = all_52_14)
% 185.94/30.31    (117)   ~ (all_52_3 = all_52_11)
% 185.94/30.31    (118)  all_54_14 = all_52_11
% 185.94/30.31    (119)  op(e2, e2) = e2
% 185.94/30.31    (120)   ~ (all_4_2 = e1)
% 185.94/30.31    (121)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.94/30.31           (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.94/30.31    (122)   ~ (all_52_7 = all_52_11)
% 185.94/30.31    (123)  all_54_1 = all_52_4
% 185.94/30.31    (124)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.94/30.31           (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.94/30.31  
% 185.94/30.31  Begin of proof
% 185.94/30.31  | 
% 185.94/30.31  | BETA: splitting (85) gives:
% 185.94/30.31  | 
% 185.94/30.31  | Case 1:
% 185.94/30.31  | | 
% 185.94/30.31  | |   (125)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 185.94/30.31  | |            e2)
% 185.94/30.31  | | 
% 185.94/30.31  | | BETA: splitting (125) gives:
% 185.94/30.31  | | 
% 185.94/30.31  | | Case 1:
% 185.94/30.31  | | | 
% 185.94/30.31  | | |   (126)  all_56_9 = e2 & op(e3, e0) = e2
% 185.94/30.31  | | | 
% 185.94/30.31  | | | ALPHA: (126) implies:
% 185.94/30.31  | | |   (127)  all_56_9 = e2
% 185.94/30.31  | | |   (128)  op(e3, e0) = e2
% 185.94/30.31  | | | 
% 185.94/30.31  | | | BETA: splitting (74) gives:
% 185.94/30.31  | | | 
% 185.94/30.31  | | | Case 1:
% 185.94/30.31  | | | | 
% 185.94/30.31  | | | |   (129)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2)
% 185.94/30.31  | | | |            = e2)
% 185.94/30.31  | | | | 
% 185.94/30.31  | | | | BETA: splitting (129) gives:
% 185.94/30.31  | | | | 
% 185.94/30.31  | | | | Case 1:
% 185.94/30.31  | | | | | 
% 185.94/30.31  | | | | |   (130)  all_56_2 = e2 & op(e2, e3) = e2
% 185.94/30.31  | | | | | 
% 185.94/30.31  | | | | | ALPHA: (130) implies:
% 185.94/30.31  | | | | |   (131)  all_56_2 = e2
% 185.94/30.31  | | | | |   (132)  op(e2, e3) = e2
% 185.94/30.31  | | | | | 
% 185.94/30.31  | | | | | BETA: splitting (111) gives:
% 185.94/30.31  | | | | | 
% 185.94/30.31  | | | | | Case 1:
% 185.94/30.31  | | | | | | 
% 185.94/30.31  | | | | | |   (133)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 &
% 185.94/30.31  | | | | | |            op(e0, e2) = e2)
% 185.94/30.31  | | | | | | 
% 185.94/30.31  | | | | | | BETA: splitting (133) gives:
% 185.94/30.31  | | | | | | 
% 185.94/30.31  | | | | | | Case 1:
% 185.94/30.31  | | | | | | | 
% 185.94/30.31  | | | | | | |   (134)  all_56_12 = e2 & op(e0, e3) = e2
% 185.94/30.31  | | | | | | | 
% 185.94/30.31  | | | | | | | ALPHA: (134) implies:
% 185.94/30.31  | | | | | | |   (135)  all_56_12 = e2
% 185.94/30.31  | | | | | | | 
% 185.94/30.31  | | | | | | | REF_CLOSE: (10), (16), (32), (37), (58), (95), (110), (120),
% 185.94/30.31  | | | | | | |            (121), (131), (132), (135) are inconsistent by
% 185.94/30.31  | | | | | | |            sub-proof #988.
% 185.94/30.31  | | | | | | | 
% 185.94/30.31  | | | | | | Case 2:
% 185.94/30.31  | | | | | | | 
% 185.94/30.31  | | | | | | |   (136)  all_56_13 = e2 & op(e0, e2) = e2
% 185.94/30.31  | | | | | | | 
% 185.94/30.31  | | | | | | | ALPHA: (136) implies:
% 185.94/30.31  | | | | | | |   (137)  op(e0, e2) = e2
% 185.94/30.31  | | | | | | | 
% 185.94/30.31  | | | | | | | REF_CLOSE: (58), (107), (112), (137) are inconsistent by sub-proof
% 185.94/30.31  | | | | | | |            #1613.
% 185.94/30.31  | | | | | | | 
% 185.94/30.31  | | | | | | End of split
% 185.94/30.31  | | | | | | 
% 185.94/30.31  | | | | | Case 2:
% 185.94/30.31  | | | | | | 
% 185.94/30.32  | | | | | |   (138)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 &
% 185.94/30.32  | | | | | |            op(e0, e0) = e2)
% 185.94/30.32  | | | | | | 
% 185.94/30.32  | | | | | | REF_CLOSE: (4), (13), (16), (25), (37), (42), (44), (58), (59),
% 185.94/30.32  | | | | | |            (87), (93), (109), (110), (124), (138) are inconsistent
% 185.94/30.32  | | | | | |            by sub-proof #975.
% 185.94/30.32  | | | | | | 
% 185.94/30.32  | | | | | End of split
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | Case 2:
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | |   (139)  all_56_3 = e2 & op(e2, e2) = e2
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | | ALPHA: (139) implies:
% 185.94/30.32  | | | | |   (140)  all_56_3 = e2
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | | BETA: splitting (98) gives:
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | | Case 1:
% 185.94/30.32  | | | | | | 
% 185.94/30.32  | | | | | |   (141)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 &
% 185.94/30.32  | | | | | |            op(e2, e2) = e1)
% 185.94/30.32  | | | | | | 
% 185.94/30.32  | | | | | | REF_CLOSE: (58), (95), (110), (119), (120), (141) are inconsistent
% 185.94/30.32  | | | | | |            by sub-proof #1267.
% 185.94/30.32  | | | | | | 
% 185.94/30.32  | | | | | Case 2:
% 185.94/30.32  | | | | | | 
% 185.94/30.32  | | | | | |   (142)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 &
% 185.94/30.32  | | | | | |            op(e0, e0) = e1) | ( ~ (all_57_27 = e0) & op(e0, e1) =
% 185.94/30.32  | | | | | |            all_57_27 & $i(all_57_27))
% 185.94/30.32  | | | | | | 
% 185.94/30.32  | | | | | | BETA: splitting (142) gives:
% 185.94/30.32  | | | | | | 
% 185.94/30.32  | | | | | | Case 1:
% 185.94/30.32  | | | | | | | 
% 185.94/30.32  | | | | | | |   (143)  all_57_30 = e1 & op(e1, e1) = e1
% 185.94/30.32  | | | | | | | 
% 185.94/30.32  | | | | | | | ALPHA: (143) implies:
% 185.94/30.32  | | | | | | |   (144)  op(e1, e1) = e1
% 185.94/30.32  | | | | | | | 
% 185.94/30.32  | | | | | | | REF_CLOSE: (58), (109), (110), (144) are inconsistent by sub-proof
% 185.94/30.32  | | | | | | |            #1473.
% 185.94/30.32  | | | | | | | 
% 185.94/30.32  | | | | | | Case 2:
% 185.94/30.32  | | | | | | | 
% 185.94/30.32  | | | | | | |   (145)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0)
% 185.94/30.32  | | | | | | |            & op(e0, e1) = all_57_27 & $i(all_57_27))
% 185.94/30.32  | | | | | | | 
% 185.94/30.32  | | | | | | | BETA: splitting (145) gives:
% 185.94/30.32  | | | | | | | 
% 185.94/30.32  | | | | | | | Case 1:
% 185.94/30.32  | | | | | | | | 
% 185.94/30.32  | | | | | | | |   (146)  all_57_31 = e1 & op(e0, e0) = e1
% 185.94/30.32  | | | | | | | | 
% 185.94/30.32  | | | | | | | | ALPHA: (146) implies:
% 185.94/30.32  | | | | | | | |   (147)  op(e0, e0) = e1
% 185.94/30.32  | | | | | | | | 
% 185.94/30.32  | | | | | | | | REF_CLOSE: (4), (12), (58), (147) are inconsistent by sub-proof
% 185.94/30.32  | | | | | | | |            #1516.
% 185.94/30.32  | | | | | | | | 
% 185.94/30.32  | | | | | | | Case 2:
% 185.94/30.32  | | | | | | | | 
% 185.94/30.32  | | | | | | | |   (148)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 185.94/30.32  | | | | | | | |          $i(all_57_27)
% 185.94/30.32  | | | | | | | | 
% 185.94/30.32  | | | | | | | | ALPHA: (148) implies:
% 185.94/30.32  | | | | | | | |   (149)   ~ (all_57_27 = e0)
% 185.94/30.32  | | | | | | | |   (150)  op(e0, e1) = all_57_27
% 185.94/30.32  | | | | | | | | 
% 185.94/30.32  | | | | | | | | BETA: splitting (111) gives:
% 185.94/30.32  | | | | | | | | 
% 185.94/30.32  | | | | | | | | Case 1:
% 185.94/30.32  | | | | | | | | | 
% 185.94/30.32  | | | | | | | | |   (151)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2
% 185.94/30.32  | | | | | | | | |            & op(e0, e2) = e2)
% 185.94/30.32  | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | BETA: splitting (151) gives:
% 185.94/30.32  | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | Case 1:
% 185.94/30.32  | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | |   (152)  all_56_12 = e2 & op(e0, e3) = e2
% 185.94/30.32  | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | ALPHA: (152) implies:
% 185.94/30.32  | | | | | | | | | |   (153)  all_56_12 = e2
% 185.94/30.32  | | | | | | | | | |   (154)  op(e0, e3) = e2
% 185.94/30.32  | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | BETA: splitting (20) gives:
% 185.94/30.32  | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | Case 1:
% 185.94/30.32  | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | |   (155)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 185.94/30.32  | | | | | | | | | | |            e1 & op(e2, e2) = e1)
% 185.94/30.32  | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | REF_CLOSE: (58), (95), (110), (119), (120), (155) are
% 185.94/30.32  | | | | | | | | | | |            inconsistent by sub-proof #1267.
% 185.94/30.32  | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | Case 2:
% 185.94/30.32  | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | |   (156)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 185.94/30.32  | | | | | | | | | | |            e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 185.94/30.32  | | | | | | | | | | |            op(e2, e1) = all_57_20 & $i(all_57_20))
% 185.94/30.32  | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | BETA: splitting (156) gives:
% 185.94/30.32  | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | Case 1:
% 185.94/30.32  | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | |   (157)  all_57_30 = e1 & op(e1, e1) = e1
% 185.94/30.32  | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | ALPHA: (157) implies:
% 185.94/30.32  | | | | | | | | | | | |   (158)  op(e1, e1) = e1
% 185.94/30.32  | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | REF_CLOSE: (58), (109), (110), (158) are inconsistent by
% 185.94/30.32  | | | | | | | | | | | |            sub-proof #1473.
% 185.94/30.32  | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | Case 2:
% 185.94/30.32  | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | |   (159)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 185.94/30.32  | | | | | | | | | | | |            (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 185.94/30.32  | | | | | | | | | | | |            $i(all_57_20))
% 185.94/30.32  | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | BETA: splitting (159) gives:
% 185.94/30.32  | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | Case 1:
% 185.94/30.32  | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | |   (160)  all_57_31 = e1 & op(e0, e0) = e1
% 185.94/30.32  | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | ALPHA: (160) implies:
% 185.94/30.32  | | | | | | | | | | | | |   (161)  op(e0, e0) = e1
% 185.94/30.32  | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | REF_CLOSE: (4), (12), (58), (161) are inconsistent by
% 185.94/30.32  | | | | | | | | | | | | |            sub-proof #1516.
% 185.94/30.32  | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | Case 2:
% 185.94/30.32  | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | |   (162)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 185.94/30.32  | | | | | | | | | | | | |          $i(all_57_20)
% 185.94/30.32  | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | ALPHA: (162) implies:
% 185.94/30.32  | | | | | | | | | | | | |   (163)   ~ (all_57_20 = e2)
% 185.94/30.32  | | | | | | | | | | | | |   (164)  op(e2, e1) = all_57_20
% 185.94/30.32  | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 185.94/30.32  | | | | | | | | | | | | |            (11), (12), (13), (14), (15), (16), (17), (18),
% 185.94/30.32  | | | | | | | | | | | | |            (19), (21), (22), (23), (24), (26), (27), (28),
% 185.94/30.32  | | | | | | | | | | | | |            (29), (30), (31), (32), (33), (34), (35), (36),
% 185.94/30.32  | | | | | | | | | | | | |            (37), (38), (39), (40), (41), (43), (45), (46),
% 185.94/30.32  | | | | | | | | | | | | |            (47), (48), (49), (50), (51), (52), (53), (54),
% 185.94/30.32  | | | | | | | | | | | | |            (55), (56), (57), (58), (59), (60), (61), (62),
% 185.94/30.32  | | | | | | | | | | | | |            (63), (64), (65), (66), (67), (68), (69), (70),
% 185.94/30.32  | | | | | | | | | | | | |            (71), (72), (73), (74), (75), (76), (77), (78),
% 185.94/30.32  | | | | | | | | | | | | |            (79), (80), (81), (82), (83), (84), (85), (86),
% 185.94/30.32  | | | | | | | | | | | | |            (88), (89), (90), (91), (92), (93), (94), (95),
% 185.94/30.32  | | | | | | | | | | | | |            (96), (97), (99), (100), (101), (102), (103),
% 185.94/30.32  | | | | | | | | | | | | |            (104), (105), (106), (109), (111), (112), (113),
% 185.94/30.32  | | | | | | | | | | | | |            (114), (115), (116), (117), (118), (119), (120),
% 185.94/30.32  | | | | | | | | | | | | |            (121), (122), (123), (124), (127), (128), (140),
% 185.94/30.32  | | | | | | | | | | | | |            (149), (150), (153), (154), (163), (164) are
% 185.94/30.32  | | | | | | | | | | | | |            inconsistent by sub-proof #894.
% 185.94/30.32  | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | End of split
% 185.94/30.32  | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | End of split
% 185.94/30.32  | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | End of split
% 185.94/30.32  | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | Case 2:
% 185.94/30.32  | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | |   (165)  all_56_13 = e2 & op(e0, e2) = e2
% 185.94/30.32  | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | ALPHA: (165) implies:
% 185.94/30.32  | | | | | | | | | |   (166)  op(e0, e2) = e2
% 185.94/30.32  | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | REF_CLOSE: (58), (107), (112), (166) are inconsistent by
% 185.94/30.32  | | | | | | | | | |            sub-proof #1613.
% 185.94/30.32  | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | End of split
% 185.94/30.32  | | | | | | | | | 
% 185.94/30.32  | | | | | | | | Case 2:
% 185.94/30.32  | | | | | | | | | 
% 185.94/30.32  | | | | | | | | |   (167)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2
% 185.94/30.32  | | | | | | | | |            & op(e0, e0) = e2)
% 185.94/30.32  | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | REF_CLOSE: (4), (13), (16), (25), (37), (42), (44), (58),
% 185.94/30.32  | | | | | | | | |            (59), (87), (93), (109), (110), (124), (167) are
% 185.94/30.32  | | | | | | | | |            inconsistent by sub-proof #975.
% 185.94/30.32  | | | | | | | | | 
% 185.94/30.32  | | | | | | | | End of split
% 185.94/30.32  | | | | | | | | 
% 185.94/30.32  | | | | | | | End of split
% 185.94/30.32  | | | | | | | 
% 185.94/30.32  | | | | | | End of split
% 185.94/30.32  | | | | | | 
% 185.94/30.32  | | | | | End of split
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | End of split
% 185.94/30.32  | | | | 
% 185.94/30.32  | | | Case 2:
% 185.94/30.32  | | | | 
% 185.94/30.32  | | | |   (168)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2,
% 185.94/30.32  | | | |              e0) = e2)
% 185.94/30.32  | | | | 
% 185.94/30.32  | | | | BETA: splitting (168) gives:
% 185.94/30.32  | | | | 
% 185.94/30.32  | | | | Case 1:
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | |   (169)  all_56_5 = e2 & op(e2, e1) = e2
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | | ALPHA: (169) implies:
% 185.94/30.32  | | | | |   (170)  all_56_5 = e2
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | | BETA: splitting (98) gives:
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | | Case 1:
% 185.94/30.32  | | | | | | 
% 185.94/30.32  | | | | | |   (171)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 &
% 185.94/30.32  | | | | | |            op(e2, e2) = e1)
% 185.94/30.32  | | | | | | 
% 185.94/30.32  | | | | | | REF_CLOSE: (58), (95), (110), (119), (120), (171) are inconsistent
% 185.94/30.32  | | | | | |            by sub-proof #1267.
% 185.94/30.32  | | | | | | 
% 185.94/30.32  | | | | | Case 2:
% 185.94/30.32  | | | | | | 
% 185.94/30.32  | | | | | |   (172)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 &
% 185.94/30.32  | | | | | |            op(e0, e0) = e1) | ( ~ (all_57_27 = e0) & op(e0, e1) =
% 185.94/30.32  | | | | | |            all_57_27 & $i(all_57_27))
% 185.94/30.32  | | | | | | 
% 185.94/30.32  | | | | | | BETA: splitting (172) gives:
% 185.94/30.32  | | | | | | 
% 185.94/30.32  | | | | | | Case 1:
% 185.94/30.32  | | | | | | | 
% 185.94/30.32  | | | | | | |   (173)  all_57_30 = e1 & op(e1, e1) = e1
% 185.94/30.32  | | | | | | | 
% 185.94/30.32  | | | | | | | ALPHA: (173) implies:
% 185.94/30.32  | | | | | | |   (174)  op(e1, e1) = e1
% 185.94/30.32  | | | | | | | 
% 185.94/30.32  | | | | | | | REF_CLOSE: (58), (109), (110), (174) are inconsistent by sub-proof
% 185.94/30.32  | | | | | | |            #1473.
% 185.94/30.32  | | | | | | | 
% 185.94/30.32  | | | | | | Case 2:
% 185.94/30.32  | | | | | | | 
% 185.94/30.32  | | | | | | |   (175)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~ (all_57_27 = e0)
% 185.94/30.32  | | | | | | |            & op(e0, e1) = all_57_27 & $i(all_57_27))
% 185.94/30.32  | | | | | | | 
% 185.94/30.32  | | | | | | | BETA: splitting (175) gives:
% 185.94/30.32  | | | | | | | 
% 185.94/30.32  | | | | | | | Case 1:
% 185.94/30.32  | | | | | | | | 
% 185.94/30.32  | | | | | | | |   (176)  all_57_31 = e1 & op(e0, e0) = e1
% 185.94/30.32  | | | | | | | | 
% 185.94/30.32  | | | | | | | | ALPHA: (176) implies:
% 185.94/30.32  | | | | | | | |   (177)  op(e0, e0) = e1
% 185.94/30.32  | | | | | | | | 
% 185.94/30.32  | | | | | | | | REF_CLOSE: (4), (12), (58), (177) are inconsistent by sub-proof
% 185.94/30.32  | | | | | | | |            #1516.
% 185.94/30.32  | | | | | | | | 
% 185.94/30.32  | | | | | | | Case 2:
% 185.94/30.32  | | | | | | | | 
% 185.94/30.32  | | | | | | | |   (178)   ~ (all_57_27 = e0) & op(e0, e1) = all_57_27 &
% 185.94/30.32  | | | | | | | |          $i(all_57_27)
% 185.94/30.32  | | | | | | | | 
% 185.94/30.32  | | | | | | | | ALPHA: (178) implies:
% 185.94/30.32  | | | | | | | |   (179)   ~ (all_57_27 = e0)
% 185.94/30.32  | | | | | | | |   (180)  op(e0, e1) = all_57_27
% 185.94/30.32  | | | | | | | | 
% 185.94/30.32  | | | | | | | | BETA: splitting (111) gives:
% 185.94/30.32  | | | | | | | | 
% 185.94/30.32  | | | | | | | | Case 1:
% 185.94/30.32  | | | | | | | | | 
% 185.94/30.32  | | | | | | | | |   (181)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2
% 185.94/30.32  | | | | | | | | |            & op(e0, e2) = e2)
% 185.94/30.32  | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | BETA: splitting (181) gives:
% 185.94/30.32  | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | Case 1:
% 185.94/30.32  | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | |   (182)  all_56_12 = e2 & op(e0, e3) = e2
% 185.94/30.32  | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | ALPHA: (182) implies:
% 185.94/30.32  | | | | | | | | | |   (183)  all_56_12 = e2
% 185.94/30.32  | | | | | | | | | |   (184)  op(e0, e3) = e2
% 185.94/30.32  | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | BETA: splitting (20) gives:
% 185.94/30.32  | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | Case 1:
% 185.94/30.32  | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | |   (185)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 185.94/30.32  | | | | | | | | | | |            e1 & op(e2, e2) = e1)
% 185.94/30.32  | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | REF_CLOSE: (58), (95), (110), (119), (120), (185) are
% 185.94/30.32  | | | | | | | | | | |            inconsistent by sub-proof #1267.
% 185.94/30.32  | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | Case 2:
% 185.94/30.32  | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | |   (186)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 185.94/30.32  | | | | | | | | | | |            e1 & op(e0, e0) = e1) | ( ~ (all_57_20 = e2) &
% 185.94/30.32  | | | | | | | | | | |            op(e2, e1) = all_57_20 & $i(all_57_20))
% 185.94/30.32  | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | BETA: splitting (186) gives:
% 185.94/30.32  | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | Case 1:
% 185.94/30.32  | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | |   (187)  all_57_30 = e1 & op(e1, e1) = e1
% 185.94/30.32  | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | ALPHA: (187) implies:
% 185.94/30.32  | | | | | | | | | | | |   (188)  op(e1, e1) = e1
% 185.94/30.32  | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | REF_CLOSE: (58), (109), (110), (188) are inconsistent by
% 185.94/30.32  | | | | | | | | | | | |            sub-proof #1473.
% 185.94/30.32  | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | Case 2:
% 185.94/30.32  | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | |   (189)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 185.94/30.32  | | | | | | | | | | | |            (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 185.94/30.32  | | | | | | | | | | | |            $i(all_57_20))
% 185.94/30.32  | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | BETA: splitting (189) gives:
% 185.94/30.32  | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | Case 1:
% 185.94/30.32  | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | |   (190)  all_57_31 = e1 & op(e0, e0) = e1
% 185.94/30.32  | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | ALPHA: (190) implies:
% 185.94/30.32  | | | | | | | | | | | | |   (191)  op(e0, e0) = e1
% 185.94/30.32  | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | REF_CLOSE: (4), (12), (58), (191) are inconsistent by
% 185.94/30.32  | | | | | | | | | | | | |            sub-proof #1516.
% 185.94/30.32  | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | Case 2:
% 185.94/30.32  | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | |   (192)   ~ (all_57_20 = e2) & op(e2, e1) = all_57_20 &
% 185.94/30.32  | | | | | | | | | | | | |          $i(all_57_20)
% 185.94/30.32  | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | ALPHA: (192) implies:
% 185.94/30.32  | | | | | | | | | | | | |   (193)   ~ (all_57_20 = e2)
% 185.94/30.32  | | | | | | | | | | | | |   (194)  op(e2, e1) = all_57_20
% 185.94/30.32  | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | BETA: splitting (41) gives:
% 185.94/30.32  | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | Case 1:
% 185.94/30.32  | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | |   (195)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 185.94/30.32  | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 185.94/30.32  | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 185.94/30.32  | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | Case 1:
% 185.94/30.32  | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | |   (196)  all_56_1 = e2 & op(e3, e2) = e2
% 185.94/30.32  | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | ALPHA: (196) implies:
% 185.94/30.32  | | | | | | | | | | | | | | |   (197)  all_56_1 = e2
% 185.94/30.32  | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 185.94/30.32  | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | Case 1:
% 185.94/30.32  | | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | |   (198)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 185.94/30.32  | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 185.94/30.32  | | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | | REF_CLOSE: (10), (37), (58), (95), (197), (198) are
% 185.94/30.32  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1104.
% 185.94/30.32  | | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | Case 2:
% 185.94/30.32  | | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | |   (199)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 185.94/30.32  | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 185.94/30.32  | | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 185.94/30.32  | | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.32  | | | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | | |   (200)  all_56_4 = e0 & op(e3, e1) = e0
% 185.94/30.32  | | | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | | | ALPHA: (200) implies:
% 185.94/30.32  | | | | | | | | | | | | | | | | |   (201)  all_56_4 = e0
% 185.94/30.32  | | | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (16), (25), (42), (58), (87), (109), (110),
% 185.94/30.32  | | | | | | | | | | | | | | | | |            (124), (170), (201) are inconsistent by sub-proof
% 185.94/30.32  | | | | | | | | | | | | | | | | |            #932.
% 185.94/30.32  | | | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.32  | | | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | | |   (202)  all_56_9 = e0 & op(e3, e0) = e0
% 185.94/30.32  | | | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (127), (202) are inconsistent by sub-proof
% 185.94/30.32  | | | | | | | | | | | | | | | | |            #1574.
% 185.94/30.32  | | | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | | End of split
% 185.94/30.32  | | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | End of split
% 185.94/30.32  | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | Case 2:
% 185.94/30.32  | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | |   (203)  all_56_3 = e2 & op(e2, e2) = e2
% 185.94/30.32  | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | ALPHA: (203) implies:
% 185.94/30.32  | | | | | | | | | | | | | | |   (204)  all_56_3 = e2
% 185.94/30.32  | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 185.94/30.32  | | | | | | | | | | | | | | |            (11), (12), (13), (14), (15), (16), (17), (18),
% 185.94/30.32  | | | | | | | | | | | | | | |            (19), (21), (22), (23), (24), (26), (27), (28),
% 185.94/30.32  | | | | | | | | | | | | | | |            (29), (30), (31), (32), (33), (34), (35), (36),
% 185.94/30.32  | | | | | | | | | | | | | | |            (37), (38), (39), (40), (41), (43), (45), (46),
% 185.94/30.32  | | | | | | | | | | | | | | |            (47), (48), (49), (50), (51), (52), (53), (54),
% 185.94/30.32  | | | | | | | | | | | | | | |            (55), (56), (57), (58), (59), (60), (61), (62),
% 185.94/30.32  | | | | | | | | | | | | | | |            (63), (64), (65), (66), (67), (68), (69), (70),
% 185.94/30.32  | | | | | | | | | | | | | | |            (71), (72), (73), (74), (75), (76), (77), (78),
% 185.94/30.32  | | | | | | | | | | | | | | |            (79), (80), (81), (82), (83), (84), (85), (86),
% 185.94/30.32  | | | | | | | | | | | | | | |            (88), (89), (90), (91), (92), (93), (94), (95),
% 185.94/30.32  | | | | | | | | | | | | | | |            (96), (97), (99), (100), (101), (102), (103),
% 185.94/30.32  | | | | | | | | | | | | | | |            (104), (105), (106), (109), (111), (112), (113),
% 185.94/30.32  | | | | | | | | | | | | | | |            (114), (115), (116), (117), (118), (119), (120),
% 185.94/30.32  | | | | | | | | | | | | | | |            (121), (122), (123), (124), (127), (128), (179),
% 185.94/30.32  | | | | | | | | | | | | | | |            (180), (183), (184), (193), (194), (204) are
% 185.94/30.32  | | | | | | | | | | | | | | |            inconsistent by sub-proof #894.
% 185.94/30.32  | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | End of split
% 185.94/30.32  | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | Case 2:
% 185.94/30.32  | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | |   (205)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 185.94/30.32  | | | | | | | | | | | | | |            e2 & op(e0, e2) = e2)
% 185.94/30.32  | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 185.94/30.32  | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | Case 1:
% 185.94/30.32  | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | |   (206)  all_56_7 = e2 & op(e1, e2) = e2
% 185.94/30.32  | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 185.94/30.32  | | | | | | | | | | | | | | |   (207)  op(e1, e2) = e2
% 185.94/30.32  | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | REF_CLOSE: (58), (66), (105), (207) are inconsistent by
% 185.94/30.32  | | | | | | | | | | | | | | |            sub-proof #1614.
% 185.94/30.32  | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | Case 2:
% 185.94/30.32  | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | |   (208)  all_56_13 = e2 & op(e0, e2) = e2
% 185.94/30.32  | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | ALPHA: (208) implies:
% 185.94/30.32  | | | | | | | | | | | | | | |   (209)  all_56_13 = e2
% 185.94/30.32  | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | | REF_CLOSE: (4), (12), (13), (16), (25), (37), (42), (58),
% 185.94/30.32  | | | | | | | | | | | | | | |            (59), (82), (87), (109), (110), (124), (170),
% 185.94/30.32  | | | | | | | | | | | | | | |            (183), (209) are inconsistent by sub-proof #891.
% 185.94/30.32  | | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | | End of split
% 185.94/30.32  | | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | | End of split
% 185.94/30.32  | | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | | End of split
% 185.94/30.32  | | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | | End of split
% 185.94/30.32  | | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | End of split
% 185.94/30.32  | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | Case 2:
% 185.94/30.32  | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | |   (210)  all_56_13 = e2 & op(e0, e2) = e2
% 185.94/30.32  | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | ALPHA: (210) implies:
% 185.94/30.32  | | | | | | | | | |   (211)  op(e0, e2) = e2
% 185.94/30.32  | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | | REF_CLOSE: (58), (107), (112), (211) are inconsistent by
% 185.94/30.32  | | | | | | | | | |            sub-proof #1613.
% 185.94/30.32  | | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | End of split
% 185.94/30.32  | | | | | | | | | 
% 185.94/30.32  | | | | | | | | Case 2:
% 185.94/30.32  | | | | | | | | | 
% 185.94/30.32  | | | | | | | | |   (212)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2
% 185.94/30.32  | | | | | | | | |            & op(e0, e0) = e2)
% 185.94/30.32  | | | | | | | | | 
% 185.94/30.32  | | | | | | | | | REF_CLOSE: (4), (13), (16), (25), (37), (42), (44), (58),
% 185.94/30.32  | | | | | | | | |            (59), (87), (93), (109), (110), (124), (212) are
% 185.94/30.32  | | | | | | | | |            inconsistent by sub-proof #975.
% 185.94/30.32  | | | | | | | | | 
% 185.94/30.32  | | | | | | | | End of split
% 185.94/30.32  | | | | | | | | 
% 185.94/30.32  | | | | | | | End of split
% 185.94/30.32  | | | | | | | 
% 185.94/30.32  | | | | | | End of split
% 185.94/30.32  | | | | | | 
% 185.94/30.32  | | | | | End of split
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | Case 2:
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | |   (213)  all_56_10 = e2 & op(e2, e0) = e2
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | | ALPHA: (213) implies:
% 185.94/30.32  | | | | |   (214)  op(e2, e0) = e2
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | | REF_CLOSE: (58), (84), (108), (214) are inconsistent by sub-proof
% 185.94/30.32  | | | | |            #1562.
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | End of split
% 185.94/30.32  | | | | 
% 185.94/30.32  | | | End of split
% 185.94/30.32  | | | 
% 185.94/30.32  | | Case 2:
% 185.94/30.32  | | | 
% 185.94/30.32  | | |   (215)  all_56_10 = e2 & op(e2, e0) = e2
% 185.94/30.32  | | | 
% 185.94/30.32  | | | ALPHA: (215) implies:
% 185.94/30.32  | | |   (216)  op(e2, e0) = e2
% 185.94/30.32  | | | 
% 185.94/30.32  | | | REF_CLOSE: (58), (84), (108), (216) are inconsistent by sub-proof #1562.
% 185.94/30.32  | | | 
% 185.94/30.32  | | End of split
% 185.94/30.32  | | 
% 185.94/30.32  | Case 2:
% 185.94/30.32  | | 
% 185.94/30.32  | |   (217)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.94/30.32  | |            e2)
% 185.94/30.32  | | 
% 185.94/30.32  | | REF_CLOSE: (4), (7), (16), (25), (34), (37), (42), (44), (58), (87), (104),
% 185.94/30.32  | |            (109), (110), (217) are inconsistent by sub-proof #885.
% 185.94/30.32  | | 
% 185.94/30.32  | End of split
% 185.94/30.32  | 
% 185.94/30.32  End of proof
% 185.94/30.32  
% 185.94/30.32  Sub-proof #885 shows that the following formulas are inconsistent:
% 185.94/30.32  ----------------------------------------------------------------
% 185.94/30.32    (1)  op(e0, e0) = all_6_2
% 185.94/30.32    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.94/30.32         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.94/30.32    (3)   ~ (e1 = e0)
% 185.94/30.32    (4)   ~ (e3 = e0)
% 185.94/30.32    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.94/30.32         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.94/30.32    (6)   ~ (e2 = e0)
% 185.94/30.32    (7)   ~ (e3 = e1)
% 185.94/30.32    (8)   ~ (all_6_2 = e2)
% 185.94/30.32    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.32    (10)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.94/30.32    (11)   ~ (e3 = e2)
% 185.94/30.32    (12)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.94/30.32          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.94/30.32    (13)  op(e1, e1) = e2
% 185.94/30.32    (14)   ~ (e2 = e1)
% 185.94/30.32  
% 185.94/30.32  Begin of proof
% 185.94/30.32  | 
% 185.94/30.32  | BETA: splitting (10) gives:
% 185.94/30.32  | 
% 185.94/30.32  | Case 1:
% 185.94/30.32  | | 
% 185.94/30.32  | |   (15)  all_56_11 = e2 & op(e1, e0) = e2
% 185.94/30.32  | | 
% 185.94/30.32  | | ALPHA: (15) implies:
% 185.94/30.32  | |   (16)  all_56_11 = e2
% 185.94/30.32  | | 
% 185.94/30.32  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (11), (12), (13), (14), (16)
% 185.94/30.32  | |            are inconsistent by sub-proof #886.
% 185.94/30.32  | | 
% 185.94/30.32  | Case 2:
% 185.94/30.32  | | 
% 185.94/30.32  | |   (17)  all_56_15 = e2 & op(e0, e0) = e2
% 185.94/30.32  | | 
% 185.94/30.32  | | ALPHA: (17) implies:
% 185.94/30.32  | |   (18)  op(e0, e0) = e2
% 185.94/30.32  | | 
% 185.94/30.32  | | REF_CLOSE: (1), (8), (9), (18) are inconsistent by sub-proof #1511.
% 185.94/30.32  | | 
% 185.94/30.32  | End of split
% 185.94/30.32  | 
% 185.94/30.32  End of proof
% 185.94/30.32  
% 185.94/30.32  Sub-proof #886 shows that the following formulas are inconsistent:
% 185.94/30.32  ----------------------------------------------------------------
% 185.94/30.32    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.94/30.32         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.94/30.32    (2)   ~ (e1 = e0)
% 185.94/30.32    (3)   ~ (e3 = e0)
% 185.94/30.32    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.94/30.32         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.94/30.32    (5)   ~ (e2 = e0)
% 185.94/30.32    (6)   ~ (e3 = e1)
% 185.94/30.32    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.32    (8)  all_56_11 = e2
% 185.94/30.32    (9)   ~ (e3 = e2)
% 185.94/30.32    (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.94/30.32          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.94/30.32    (11)  op(e1, e1) = e2
% 185.94/30.32    (12)   ~ (e2 = e1)
% 185.94/30.32  
% 185.94/30.32  Begin of proof
% 185.94/30.32  | 
% 185.94/30.32  | BETA: splitting (1) gives:
% 185.94/30.32  | 
% 185.94/30.32  | Case 1:
% 185.94/30.32  | | 
% 185.94/30.32  | |   (13)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 185.94/30.32  | |           e1)
% 185.94/30.32  | | 
% 185.94/30.32  | | BETA: splitting (13) gives:
% 185.94/30.32  | | 
% 185.94/30.32  | | Case 1:
% 185.94/30.32  | | | 
% 185.94/30.32  | | |   (14)  all_56_6 = e1 & op(e1, e3) = e1
% 185.94/30.32  | | | 
% 185.94/30.32  | | | ALPHA: (14) implies:
% 185.94/30.32  | | |   (15)  all_56_6 = e1
% 185.94/30.32  | | | 
% 185.94/30.32  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.94/30.32  | | |            (15) are inconsistent by sub-proof #889.
% 185.94/30.32  | | | 
% 185.94/30.32  | | Case 2:
% 185.94/30.32  | | | 
% 185.94/30.32  | | |   (16)  all_56_7 = e1 & op(e1, e2) = e1
% 185.94/30.32  | | | 
% 185.94/30.32  | | | ALPHA: (16) implies:
% 185.94/30.32  | | |   (17)  all_56_7 = e1
% 185.94/30.32  | | | 
% 185.94/30.32  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 185.94/30.32  | | |            (17) are inconsistent by sub-proof #887.
% 185.94/30.32  | | | 
% 185.94/30.32  | | End of split
% 185.94/30.32  | | 
% 185.94/30.32  | Case 2:
% 185.94/30.32  | | 
% 185.94/30.32  | |   (18)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 185.94/30.32  | |           e1)
% 185.94/30.32  | | 
% 185.94/30.32  | | BETA: splitting (18) gives:
% 185.94/30.32  | | 
% 185.94/30.32  | | Case 1:
% 185.94/30.32  | | | 
% 185.94/30.32  | | |   (19)  all_56_8 = e1 & op(e1, e1) = e1
% 185.94/30.32  | | | 
% 185.94/30.32  | | | ALPHA: (19) implies:
% 185.94/30.32  | | |   (20)  op(e1, e1) = e1
% 185.94/30.32  | | | 
% 185.94/30.32  | | | REF_CLOSE: (7), (11), (12), (20) are inconsistent by sub-proof #1473.
% 185.94/30.32  | | | 
% 185.94/30.32  | | Case 2:
% 185.94/30.32  | | | 
% 185.94/30.32  | | |   (21)  all_56_11 = e1 & op(e1, e0) = e1
% 185.94/30.32  | | | 
% 185.94/30.32  | | | REF_CLOSE: (8), (12), (21) are inconsistent by sub-proof #1108.
% 185.94/30.32  | | | 
% 185.94/30.32  | | End of split
% 185.94/30.32  | | 
% 185.94/30.32  | End of split
% 185.94/30.32  | 
% 185.94/30.32  End of proof
% 185.94/30.32  
% 185.94/30.32  Sub-proof #887 shows that the following formulas are inconsistent:
% 185.94/30.32  ----------------------------------------------------------------
% 185.94/30.32    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.94/30.32         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.94/30.32    (2)   ~ (e1 = e0)
% 185.94/30.32    (3)   ~ (e3 = e0)
% 185.94/30.32    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.94/30.32         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.94/30.32    (5)   ~ (e2 = e0)
% 185.94/30.32    (6)   ~ (e3 = e1)
% 185.94/30.32    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.32    (8)  all_56_11 = e2
% 185.94/30.32    (9)   ~ (e3 = e2)
% 185.94/30.32    (10)  all_56_7 = e1
% 185.94/30.32    (11)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.94/30.32          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.94/30.32    (12)  op(e1, e1) = e2
% 185.94/30.32    (13)   ~ (e2 = e1)
% 185.94/30.32  
% 185.94/30.32  Begin of proof
% 185.94/30.32  | 
% 185.94/30.32  | BETA: splitting (4) gives:
% 185.94/30.32  | 
% 185.94/30.32  | Case 1:
% 185.94/30.32  | | 
% 185.94/30.32  | |   (14)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 185.94/30.32  | |           e0)
% 185.94/30.32  | | 
% 185.94/30.32  | | BETA: splitting (14) gives:
% 185.94/30.32  | | 
% 185.94/30.32  | | Case 1:
% 185.94/30.32  | | | 
% 185.94/30.32  | | |   (15)  all_56_6 = e0 & op(e1, e3) = e0
% 185.94/30.32  | | | 
% 185.94/30.32  | | | ALPHA: (15) implies:
% 185.94/30.32  | | |   (16)  all_56_6 = e0
% 185.94/30.32  | | | 
% 185.94/30.32  | | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (11), (12), (13), (16) are
% 185.94/30.32  | | |            inconsistent by sub-proof #922.
% 185.94/30.32  | | | 
% 185.94/30.32  | | Case 2:
% 185.94/30.32  | | | 
% 185.94/30.32  | | |   (17)  all_56_7 = e0 & op(e1, e2) = e0
% 185.94/30.32  | | | 
% 185.94/30.32  | | | ALPHA: (17) implies:
% 185.94/30.32  | | |   (18)  all_56_7 = e0
% 185.94/30.32  | | | 
% 185.94/30.32  | | | REF_CLOSE: (2), (10), (18) are inconsistent by sub-proof #888.
% 185.94/30.32  | | | 
% 185.94/30.32  | | End of split
% 185.94/30.32  | | 
% 185.94/30.32  | Case 2:
% 185.94/30.32  | | 
% 185.94/30.32  | |   (19)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.94/30.32  | |           e0)
% 185.94/30.32  | | 
% 185.94/30.32  | | REF_CLOSE: (5), (7), (8), (12), (19) are inconsistent by sub-proof #890.
% 185.94/30.32  | | 
% 185.94/30.32  | End of split
% 185.94/30.32  | 
% 185.94/30.32  End of proof
% 185.94/30.32  
% 185.94/30.32  Sub-proof #888 shows that the following formulas are inconsistent:
% 185.94/30.32  ----------------------------------------------------------------
% 185.94/30.32    (1)  all_56_7 = e1
% 185.94/30.32    (2)  all_56_7 = e0
% 185.94/30.32    (3)   ~ (e1 = e0)
% 185.94/30.32  
% 185.94/30.32  Begin of proof
% 185.94/30.32  | 
% 185.94/30.32  | COMBINE_EQS: (1), (2) imply:
% 185.94/30.32  |   (4)  e1 = e0
% 185.94/30.32  | 
% 185.94/30.32  | SIMP: (4) implies:
% 185.94/30.32  |   (5)  e1 = e0
% 185.94/30.32  | 
% 185.94/30.32  | REDUCE: (3), (5) imply:
% 185.94/30.32  |   (6)  $false
% 185.94/30.32  | 
% 185.94/30.32  | CLOSE: (6) is inconsistent.
% 185.94/30.32  | 
% 185.94/30.32  End of proof
% 185.94/30.32  
% 185.94/30.32  Sub-proof #889 shows that the following formulas are inconsistent:
% 185.94/30.32  ----------------------------------------------------------------
% 185.94/30.32    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.94/30.32         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.94/30.32    (2)   ~ (e1 = e0)
% 185.94/30.32    (3)   ~ (e3 = e0)
% 185.94/30.32    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.94/30.32         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.94/30.32    (5)   ~ (e2 = e0)
% 185.94/30.32    (6)   ~ (e3 = e1)
% 185.94/30.32    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.32    (8)  all_56_11 = e2
% 185.94/30.32    (9)   ~ (e3 = e2)
% 185.94/30.32    (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.94/30.32          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.94/30.32    (11)  op(e1, e1) = e2
% 185.94/30.32    (12)   ~ (e2 = e1)
% 185.94/30.32    (13)  all_56_6 = e1
% 185.94/30.32  
% 185.94/30.32  Begin of proof
% 185.94/30.32  | 
% 185.94/30.32  | BETA: splitting (4) gives:
% 185.94/30.32  | 
% 185.94/30.32  | Case 1:
% 185.94/30.32  | | 
% 185.94/30.32  | |   (14)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 185.94/30.32  | |           e0)
% 185.94/30.32  | | 
% 185.94/30.32  | | BETA: splitting (14) gives:
% 185.94/30.32  | | 
% 185.94/30.32  | | Case 1:
% 185.94/30.32  | | | 
% 185.94/30.32  | | |   (15)  all_56_6 = e0 & op(e1, e3) = e0
% 185.94/30.32  | | | 
% 185.94/30.32  | | | ALPHA: (15) implies:
% 185.94/30.32  | | |   (16)  all_56_6 = e0
% 185.94/30.32  | | | 
% 185.94/30.32  | | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (10), (11), (12), (16) are
% 185.94/30.32  | | |            inconsistent by sub-proof #922.
% 185.94/30.32  | | | 
% 185.94/30.32  | | Case 2:
% 185.94/30.32  | | | 
% 185.94/30.32  | | |   (17)  all_56_7 = e0 & op(e1, e2) = e0
% 185.94/30.32  | | | 
% 185.94/30.32  | | | ALPHA: (17) implies:
% 185.94/30.32  | | |   (18)  all_56_7 = e0
% 185.94/30.32  | | | 
% 185.94/30.32  | | | BETA: splitting (10) gives:
% 185.94/30.32  | | | 
% 185.94/30.32  | | | Case 1:
% 185.94/30.32  | | | | 
% 185.94/30.32  | | | |   (19)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2)
% 185.94/30.32  | | | |           = e3)
% 185.94/30.32  | | | | 
% 185.94/30.32  | | | | BETA: splitting (19) gives:
% 185.94/30.32  | | | | 
% 185.94/30.32  | | | | Case 1:
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | |   (20)  all_56_6 = e3 & op(e1, e3) = e3
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | | ALPHA: (20) implies:
% 185.94/30.32  | | | | |   (21)  all_56_6 = e3
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | | REF_CLOSE: (6), (13), (21) are inconsistent by sub-proof #1546.
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | Case 2:
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | |   (22)  all_56_7 = e3 & op(e1, e2) = e3
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | | ALPHA: (22) implies:
% 185.94/30.32  | | | | |   (23)  all_56_7 = e3
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | | REF_CLOSE: (3), (18), (23) are inconsistent by sub-proof #1464.
% 185.94/30.32  | | | | | 
% 185.94/30.32  | | | | End of split
% 185.94/30.32  | | | | 
% 185.94/30.32  | | | Case 2:
% 185.94/30.32  | | | | 
% 185.94/30.32  | | | |   (24)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0)
% 185.94/30.32  | | | |           = e3)
% 185.94/30.32  | | | | 
% 185.94/30.32  | | | | REF_CLOSE: (7), (8), (9), (11), (24) are inconsistent by sub-proof #923.
% 185.94/30.32  | | | | 
% 185.94/30.32  | | | End of split
% 185.94/30.32  | | | 
% 185.94/30.32  | | End of split
% 185.94/30.32  | | 
% 185.94/30.32  | Case 2:
% 185.94/30.32  | | 
% 185.94/30.32  | |   (25)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 185.94/30.32  | |           e0)
% 185.94/30.32  | | 
% 185.94/30.32  | | REF_CLOSE: (5), (7), (8), (11), (25) are inconsistent by sub-proof #890.
% 185.94/30.32  | | 
% 185.94/30.32  | End of split
% 185.94/30.32  | 
% 185.94/30.32  End of proof
% 185.94/30.32  
% 185.94/30.32  Sub-proof #890 shows that the following formulas are inconsistent:
% 185.94/30.32  ----------------------------------------------------------------
% 185.94/30.32    (1)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.94/30.32    (2)   ~ (e2 = e0)
% 185.94/30.32    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.32    (4)  all_56_11 = e2
% 185.94/30.32    (5)  op(e1, e1) = e2
% 185.94/30.32  
% 185.94/30.32  Begin of proof
% 185.94/30.32  | 
% 185.94/30.32  | BETA: splitting (1) gives:
% 185.94/30.32  | 
% 185.94/30.32  | Case 1:
% 185.94/30.32  | | 
% 185.94/30.32  | |   (6)  all_56_8 = e0 & op(e1, e1) = e0
% 185.94/30.32  | | 
% 185.94/30.32  | | ALPHA: (6) implies:
% 185.94/30.32  | |   (7)  op(e1, e1) = e0
% 185.94/30.32  | | 
% 185.94/30.32  | | REF_CLOSE: (2), (3), (5), (7) are inconsistent by sub-proof #1230.
% 185.94/30.32  | | 
% 185.94/30.32  | Case 2:
% 185.94/30.32  | | 
% 185.94/30.32  | |   (8)  all_56_11 = e0 & op(e1, e0) = e0
% 185.94/30.32  | | 
% 185.94/30.32  | | REF_CLOSE: (2), (4), (8) are inconsistent by sub-proof #1451.
% 185.94/30.32  | | 
% 185.94/30.32  | End of split
% 185.94/30.32  | 
% 185.94/30.32  End of proof
% 185.94/30.32  
% 185.94/30.32  Sub-proof #891 shows that the following formulas are inconsistent:
% 185.94/30.32  ----------------------------------------------------------------
% 185.94/30.32    (1)  op(e0, e0) = all_6_2
% 185.94/30.32    (2)   ~ (all_6_2 = e1)
% 185.94/30.32    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.94/30.32         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.94/30.32    (4)   ~ (e1 = e0)
% 185.94/30.32    (5)   ~ (e3 = e0)
% 185.94/30.32    (6)   ~ (e2 = e0)
% 185.94/30.32    (7)   ~ (e3 = e1)
% 185.94/30.32    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.32           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.32    (9)  all_56_12 = e2
% 185.94/30.32    (10)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.94/30.32          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.94/30.32    (11)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.94/30.32          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.94/30.32            e1)
% 185.94/30.32    (12)  all_56_5 = e2
% 185.94/30.32    (13)   ~ (e3 = e2)
% 185.94/30.32    (14)  op(e1, e1) = e2
% 185.94/30.32    (15)   ~ (e2 = e1)
% 185.94/30.32    (16)  all_56_13 = e2
% 185.94/30.32    (17)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.94/30.32          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.94/30.32  
% 185.94/30.32  Begin of proof
% 185.94/30.32  | 
% 185.94/30.32  | BETA: splitting (11) gives:
% 185.94/30.32  | 
% 185.94/30.32  | Case 1:
% 185.94/30.32  | | 
% 185.94/30.32  | |   (18)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 185.94/30.32  | |           e1)
% 185.94/30.32  | | 
% 185.94/30.32  | | BETA: splitting (18) gives:
% 185.94/30.32  | | 
% 185.94/30.32  | | Case 1:
% 185.94/30.32  | | | 
% 185.94/30.32  | | |   (19)  all_56_12 = e1 & op(e0, e3) = e1
% 185.94/30.32  | | | 
% 185.94/30.33  | | | REF_CLOSE: (9), (15), (19) are inconsistent by sub-proof #1550.
% 185.94/30.33  | | | 
% 185.94/30.33  | | Case 2:
% 185.94/30.33  | | | 
% 185.94/30.33  | | |   (20)  all_56_13 = e1 & op(e0, e2) = e1
% 185.94/30.33  | | | 
% 185.94/30.33  | | | REF_CLOSE: (15), (16), (20) are inconsistent by sub-proof #1122.
% 185.94/30.33  | | | 
% 185.94/30.33  | | End of split
% 185.94/30.33  | | 
% 185.94/30.33  | Case 2:
% 185.94/30.33  | | 
% 185.94/30.33  | |   (21)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.94/30.33  | |           e1)
% 185.94/30.33  | | 
% 185.94/30.33  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (12), (13), (14),
% 185.94/30.33  | |            (15), (17), (21) are inconsistent by sub-proof #892.
% 185.94/30.33  | | 
% 185.94/30.33  | End of split
% 185.94/30.33  | 
% 185.94/30.33  End of proof
% 185.94/30.33  
% 185.94/30.33  Sub-proof #892 shows that the following formulas are inconsistent:
% 185.94/30.33  ----------------------------------------------------------------
% 185.94/30.33    (1)  op(e0, e0) = all_6_2
% 185.94/30.33    (2)   ~ (all_6_2 = e1)
% 185.94/30.33    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.94/30.33         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.94/30.33    (4)   ~ (e1 = e0)
% 185.94/30.33    (5)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.94/30.33    (6)   ~ (e3 = e0)
% 185.94/30.33    (7)   ~ (e2 = e0)
% 185.94/30.33    (8)   ~ (e3 = e1)
% 185.94/30.33    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.33    (10)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.94/30.33          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.94/30.33    (11)  all_56_5 = e2
% 185.94/30.33    (12)   ~ (e3 = e2)
% 185.94/30.33    (13)  op(e1, e1) = e2
% 185.94/30.33    (14)   ~ (e2 = e1)
% 185.94/30.33    (15)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.94/30.33          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.94/30.33  
% 185.94/30.33  Begin of proof
% 185.94/30.33  | 
% 185.94/30.33  | BETA: splitting (5) gives:
% 185.94/30.33  | 
% 185.94/30.33  | Case 1:
% 185.94/30.33  | | 
% 185.94/30.33  | |   (16)  all_56_14 = e1 & op(e0, e1) = e1
% 185.94/30.33  | | 
% 185.94/30.33  | | ALPHA: (16) implies:
% 185.94/30.33  | |   (17)  op(e0, e1) = e1
% 185.94/30.33  | | 
% 185.94/30.33  | | REF_CLOSE: (3), (4), (6), (7), (8), (9), (10), (11), (12), (13), (14), (15),
% 185.94/30.33  | |            (17) are inconsistent by sub-proof #893.
% 185.94/30.33  | | 
% 185.94/30.33  | Case 2:
% 185.94/30.33  | | 
% 185.94/30.33  | |   (18)  all_56_15 = e1 & op(e0, e0) = e1
% 185.94/30.33  | | 
% 185.94/30.33  | | ALPHA: (18) implies:
% 185.94/30.33  | |   (19)  op(e0, e0) = e1
% 185.94/30.33  | | 
% 185.94/30.33  | | REF_CLOSE: (1), (2), (9), (19) are inconsistent by sub-proof #1516.
% 185.94/30.33  | | 
% 185.94/30.33  | End of split
% 185.94/30.33  | 
% 185.94/30.33  End of proof
% 185.94/30.33  
% 185.94/30.33  Sub-proof #893 shows that the following formulas are inconsistent:
% 185.94/30.33  ----------------------------------------------------------------
% 185.94/30.33    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.94/30.33         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.94/30.33    (2)   ~ (e1 = e0)
% 185.94/30.33    (3)   ~ (e3 = e0)
% 185.94/30.33    (4)   ~ (e2 = e0)
% 185.94/30.33    (5)  op(e0, e1) = e1
% 185.94/30.33    (6)   ~ (e3 = e1)
% 185.94/30.33    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.33           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.33    (8)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.94/30.33         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.94/30.33    (9)  all_56_5 = e2
% 185.94/30.33    (10)   ~ (e3 = e2)
% 185.94/30.33    (11)  op(e1, e1) = e2
% 185.94/30.33    (12)   ~ (e2 = e1)
% 185.94/30.33    (13)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.94/30.33          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.94/30.33  
% 185.94/30.33  Begin of proof
% 185.94/30.33  | 
% 185.94/30.33  | BETA: splitting (8) gives:
% 185.94/30.33  | 
% 185.94/30.33  | Case 1:
% 185.94/30.33  | | 
% 185.94/30.33  | |   (14)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 185.94/30.33  | |           e0)
% 185.94/30.33  | | 
% 185.94/30.33  | | BETA: splitting (14) gives:
% 185.94/30.33  | | 
% 185.94/30.33  | | Case 1:
% 185.94/30.33  | | | 
% 185.94/30.33  | | |   (15)  all_56_4 = e0 & op(e3, e1) = e0
% 185.94/30.33  | | | 
% 185.94/30.33  | | | ALPHA: (15) implies:
% 185.94/30.33  | | |   (16)  all_56_4 = e0
% 185.94/30.33  | | | 
% 185.94/30.33  | | | REF_CLOSE: (1), (2), (3), (6), (7), (9), (10), (11), (12), (13), (16) are
% 185.94/30.33  | | |            inconsistent by sub-proof #932.
% 185.94/30.33  | | | 
% 185.94/30.33  | | Case 2:
% 185.94/30.33  | | | 
% 185.94/30.33  | | |   (17)  all_56_5 = e0 & op(e2, e1) = e0
% 185.94/30.33  | | | 
% 185.94/30.33  | | | ALPHA: (17) implies:
% 185.94/30.33  | | |   (18)  all_56_5 = e0
% 185.94/30.33  | | | 
% 185.94/30.33  | | | REF_CLOSE: (4), (9), (18) are inconsistent by sub-proof #1276.
% 185.94/30.33  | | | 
% 185.94/30.33  | | End of split
% 185.94/30.33  | | 
% 185.94/30.33  | Case 2:
% 185.94/30.33  | | 
% 185.94/30.33  | |   (19)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.94/30.33  | |           e0)
% 185.94/30.33  | | 
% 185.94/30.33  | | REF_CLOSE: (2), (4), (5), (7), (11), (19) are inconsistent by sub-proof
% 185.94/30.33  | |            #916.
% 185.94/30.33  | | 
% 185.94/30.33  | End of split
% 185.94/30.33  | 
% 185.94/30.33  End of proof
% 185.94/30.33  
% 185.94/30.33  Sub-proof #894 shows that the following formulas are inconsistent:
% 185.94/30.33  ----------------------------------------------------------------
% 185.94/30.33    (1)   ~ (all_52_12 = all_4_2)
% 185.94/30.33    (2)  all_54_6 = all_52_9
% 185.94/30.33    (3)   ~ (all_52_8 = all_52_11)
% 185.94/30.33    (4)  op(e0, e0) = all_6_2
% 185.94/30.33    (5)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 185.94/30.33    (6)   ~ (all_52_4 = all_52_12)
% 185.94/30.33    (7)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 185.94/30.33         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 185.94/30.33    (8)  all_56_9 = e2
% 185.94/30.33    (9)   ~ (all_32_2 = e3) | ( ~ (all_32_0 = e2) & op(e3, e3) = all_32_0 &
% 185.94/30.33           $i(all_32_0)) | ( ~ (all_32_1 = e1) & op(e3, e0) = all_32_1 &
% 185.94/30.33           $i(all_32_1))
% 185.94/30.33    (10)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.94/30.33    (11)  op(e0, e3) = e2
% 185.94/30.33    (12)   ~ (all_4_2 = e0)
% 185.94/30.33    (13)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.94/30.33          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.94/30.33    (14)   ~ (all_6_2 = e1)
% 185.94/30.33    (15)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.94/30.33          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.94/30.33    (16)   ~ (all_52_6 = all_52_14)
% 185.94/30.33    (17)  op(e1, e1) = all_57_30
% 185.94/30.33    (18)   ~ (e1 = e0)
% 185.94/30.33    (19)  op(e1, e3) = all_52_2
% 185.94/30.33    (20)   ~ (all_52_1 = all_4_2)
% 185.94/30.33    (21)  op(e1, e0) = all_52_14
% 185.94/30.33    (22)   ~ (all_52_2 = all_52_6)
% 185.94/30.33    (23)  all_54_15 = all_6_2
% 185.94/30.33    (24)   ~ (all_52_13 = all_52_14)
% 185.94/30.33    (25)  all_54_0 = all_4_2
% 185.94/30.33    (26)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 185.94/30.33          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 185.94/30.33    (27)   ~ (all_52_3 = all_52_7)
% 185.94/30.33    (28)  op(e0, e1) = all_52_11
% 185.94/30.33    (29)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.94/30.33          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.94/30.33    (30)   ~ (all_52_13 = all_6_2)
% 185.94/30.33    (31)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 185.94/30.33          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 185.94/30.33    (32)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 185.94/30.33          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 185.94/30.33    (33)  all_56_3 = e2
% 185.94/30.33    (34)  op(e2, e1) = all_52_9
% 185.94/30.33    (35)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 185.94/30.33          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 185.94/30.33    (36)   ~ (all_52_11 = all_6_2)
% 185.94/30.33    (37)  op(e3, e0) = all_52_12
% 185.94/30.33    (38)   ~ (e2 = e0)
% 185.94/30.33    (39)  all_54_13 = all_52_7
% 185.94/30.33    (40)   ~ (all_52_6 = all_52_7)
% 185.94/30.33    (41)   ~ (all_52_12 = all_52_13)
% 185.94/30.33    (42)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.94/30.33          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.94/30.33    (43)   ~ (all_57_27 = e0)
% 185.94/30.33    (44)   ~ (all_52_4 = all_52_7)
% 185.94/30.33    (45)  op(e3, e0) = e2
% 185.94/30.33    (46)   ~ (all_52_9 = all_52_13)
% 185.94/30.33    (47)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 185.94/30.33    (48)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 185.94/30.33          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 185.94/30.33    (49)  all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 185.94/30.33    (50)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 185.94/30.33    (51)   ~ (all_52_12 = all_52_14)
% 185.94/30.33    (52)  op(e2, e3) = all_52_1
% 185.94/30.33    (53)  all_54_4 = all_52_1
% 185.94/30.33    (54)   ~ (all_52_1 = all_52_2)
% 185.94/30.33    (55)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 185.94/30.33    (56)  op(e0, e3) = all_52_3
% 185.94/30.33    (57)   ~ (all_52_4 = all_52_8)
% 185.94/30.33    (58)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.94/30.33    (59)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.33            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.33    (60)  all_56_12 = e2
% 185.94/30.33    (61)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.94/30.33          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.94/30.33    (62)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 185.94/30.33    (63)   ~ (all_52_1 = all_52_13)
% 185.94/30.33    (64)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 185.94/30.33          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 185.94/30.33            e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 & $i(all_57_24))
% 185.94/30.33    (65)  all_54_7 = all_52_13
% 185.94/30.33    (66)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.94/30.33    (67)  all_57_31 = all_6_2
% 185.94/30.33    (68)   ~ (all_52_6 = e2)
% 185.94/30.33    (69)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 185.94/30.33          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 185.94/30.33    (70)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 185.94/30.33              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 185.94/30.33            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.94/30.33              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.94/30.33            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 185.94/30.33            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 185.94/30.33            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 185.94/30.33            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 185.94/30.33            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 185.94/30.33            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.94/30.33              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 185.94/30.33              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.94/30.33            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.94/30.33          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 185.94/30.33              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 185.94/30.33            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.94/30.33              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.94/30.33            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 185.94/30.33            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.94/30.33            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 185.94/30.33            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 185.94/30.33            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.94/30.33              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.94/30.33              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 185.94/30.33            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 185.94/30.33            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.94/30.33            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 185.94/30.33            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 185.94/30.33            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 185.94/30.33            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 185.94/30.33            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.94/30.33            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 185.94/30.33            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 185.94/30.33            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 185.94/30.33              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 185.94/30.33            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 185.94/30.33            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 185.94/30.33              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 185.94/30.33            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 185.94/30.33            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 185.94/30.33            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 185.94/30.33            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.33            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.94/30.33              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 185.94/30.33              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 185.94/30.33            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 185.94/30.33            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 185.94/30.33              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 185.94/30.33            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 185.94/30.33            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.94/30.33            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 185.94/30.33            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 185.94/30.33            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 185.94/30.33                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 185.94/30.33                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 185.94/30.33                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.33                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 185.94/30.33                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.33                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.94/30.33                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.94/30.33                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.94/30.33                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.94/30.33                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.94/30.33                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 185.94/30.33                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.94/30.33                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 185.94/30.33                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 185.94/30.33                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 185.94/30.33                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 185.94/30.33    (71)  all_54_8 = all_52_2
% 185.94/30.33    (72)  all_54_11 = all_52_14
% 185.94/30.33    (73)   ~ (all_57_30 = e1)
% 185.94/30.33    (74)   ~ (all_52_8 = all_52_12)
% 185.94/30.33    (75)  all_32_2 = all_6_2
% 185.94/30.33    (76)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 185.94/30.33          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 185.94/30.33    (77)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 185.94/30.33          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 185.94/30.33    (78)  op(e2, e1) = all_57_20
% 185.94/30.33    (79)   ~ (all_52_9 = all_52_11)
% 185.94/30.33    (80)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 185.94/30.33          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 185.94/30.33    (81)  all_54_9 = all_52_6
% 185.94/30.33    (82)   ~ (all_52_8 = all_52_9)
% 185.94/30.33    (83)   ~ (all_52_7 = all_6_2)
% 185.94/30.33    (84)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 185.94/30.33          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 185.94/30.33    (85)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 185.94/30.33          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 185.94/30.33            e1)
% 185.94/30.33    (86)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.94/30.33          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.94/30.33    (87)  op(e2, e0) = all_52_13
% 185.94/30.33    (88)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 185.94/30.33          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 185.94/30.33    (89)  op(e3, e1) = all_57_17
% 185.94/30.33    (90)   ~ (all_52_2 = all_4_2)
% 185.94/30.33    (91)   ~ (all_52_12 = all_6_2)
% 185.94/30.33    (92)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.94/30.33          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.94/30.33    (93)  all_54_2 = all_52_8
% 185.94/30.33    (94)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.94/30.33    (95)  op(e3, e1) = all_52_8
% 185.94/30.33    (96)   ~ (all_52_2 = all_52_3)
% 185.94/30.33    (97)  op(e3, e3) = all_4_2
% 185.94/30.33    (98)   ~ (all_52_1 = all_52_3)
% 185.94/30.33    (99)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 185.94/30.33          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 185.94/30.33    (100)   ~ (all_52_14 = all_6_2)
% 185.94/30.33    (101)  op(e3, e2) = all_52_4
% 185.94/30.33    (102)   ~ (all_57_20 = e2)
% 185.94/30.33    (103)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 185.94/30.33           | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 185.94/30.33             e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 & $i(all_57_18))
% 185.94/30.33    (104)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 185.94/30.33           | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.94/30.33             e3)
% 185.94/30.33    (105)  op(e0, e1) = all_57_27
% 185.94/30.33    (106)   ~ (all_52_4 = all_4_2)
% 185.94/30.33    (107)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 185.94/30.33           (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 185.94/30.33    (108)  op(e1, e2) = all_52_6
% 185.94/30.33    (109)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 185.94/30.33    (110)  op(e1, e1) = e2
% 185.94/30.33    (111)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 185.94/30.33           | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 185.94/30.33             e2)
% 185.94/30.33    (112)  op(e0, e2) = all_52_7
% 185.94/30.33    (113)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 185.94/30.33    (114)   ~ (all_52_1 = all_52_9)
% 185.94/30.33    (115)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) =
% 185.94/30.33                 e0) | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 185.94/30.33                 op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 185.94/30.33               (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.94/30.33                 e0)))
% 185.94/30.33    (116)   ~ (all_52_2 = all_52_14)
% 185.94/30.33    (117)   ~ (all_52_3 = all_52_11)
% 185.94/30.33    (118)  all_54_14 = all_52_11
% 185.94/30.33    (119)  op(e2, e2) = e2
% 185.94/30.33    (120)   ~ (all_4_2 = e1)
% 185.94/30.33    (121)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 185.94/30.33           (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 185.94/30.33    (122)   ~ (all_52_7 = all_52_11)
% 185.94/30.33    (123)  all_54_1 = all_52_4
% 185.94/30.33    (124)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.94/30.33           (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.94/30.33  
% 185.94/30.33  Begin of proof
% 185.94/30.33  | 
% 185.94/30.33  | GROUND_INST: instantiating (59) with all_52_11, all_57_27, e1, e0, simplifying
% 185.94/30.33  |              with (28), (105) gives:
% 185.94/30.33  |   (125)  all_57_27 = all_52_11
% 185.94/30.33  | 
% 185.94/30.33  | GROUND_INST: instantiating (59) with all_52_3, e2, e3, e0, simplifying with
% 185.94/30.33  |              (11), (56) gives:
% 185.94/30.33  |   (126)  all_52_3 = e2
% 185.94/30.33  | 
% 185.94/30.33  | GROUND_INST: instantiating (59) with e2, all_57_30, e1, e1, simplifying with
% 185.94/30.33  |              (17), (110) gives:
% 185.94/30.33  |   (127)  all_57_30 = e2
% 185.94/30.33  | 
% 185.94/30.33  | GROUND_INST: instantiating (59) with all_52_9, all_57_20, e1, e2, simplifying
% 185.94/30.33  |              with (34), (78) gives:
% 185.94/30.33  |   (128)  all_57_20 = all_52_9
% 185.94/30.33  | 
% 185.94/30.33  | GROUND_INST: instantiating (59) with all_52_12, e2, e0, e3, simplifying with
% 185.94/30.33  |              (37), (45) gives:
% 185.94/30.33  |   (129)  all_52_12 = e2
% 185.94/30.33  | 
% 185.94/30.33  | GROUND_INST: instantiating (59) with all_52_8, all_57_17, e1, e3, simplifying
% 185.94/30.33  |              with (89), (95) gives:
% 185.94/30.33  |   (130)  all_57_17 = all_52_8
% 185.94/30.33  | 
% 185.94/30.33  | REDUCE: (102), (128) imply:
% 185.94/30.33  |   (131)   ~ (all_52_9 = e2)
% 185.94/30.33  | 
% 185.94/30.33  | REDUCE: (43), (125) imply:
% 185.94/30.33  |   (132)   ~ (all_52_11 = e0)
% 185.94/30.33  | 
% 185.94/30.33  | REDUCE: (73), (127) imply:
% 185.94/30.33  |   (133)   ~ (e2 = e1)
% 185.94/30.33  | 
% 185.94/30.33  | REDUCE: (98), (126) imply:
% 185.94/30.33  |   (134)   ~ (all_52_1 = e2)
% 185.94/30.33  | 
% 185.94/30.33  | REDUCE: (96), (126) imply:
% 185.94/30.33  |   (135)   ~ (all_52_2 = e2)
% 185.94/30.33  | 
% 185.94/30.33  | REDUCE: (27), (126) imply:
% 185.94/30.33  |   (136)   ~ (all_52_7 = e2)
% 185.94/30.33  | 
% 185.94/30.33  | SIMP: (136) implies:
% 185.94/30.33  |   (137)   ~ (all_52_7 = e2)
% 185.94/30.33  | 
% 185.94/30.33  | REDUCE: (117), (126) imply:
% 185.94/30.33  |   (138)   ~ (all_52_11 = e2)
% 185.94/30.33  | 
% 185.94/30.33  | SIMP: (138) implies:
% 185.94/30.33  |   (139)   ~ (all_52_11 = e2)
% 185.94/30.33  | 
% 185.94/30.33  | REDUCE: (6), (129) imply:
% 185.94/30.33  |   (140)   ~ (all_52_4 = e2)
% 185.94/30.33  | 
% 185.94/30.33  | REDUCE: (74), (129) imply:
% 185.94/30.33  |   (141)   ~ (all_52_8 = e2)
% 185.94/30.33  | 
% 185.94/30.33  | REDUCE: (41), (129) imply:
% 185.94/30.33  |   (142)   ~ (all_52_13 = e2)
% 185.94/30.33  | 
% 185.94/30.33  | SIMP: (142) implies:
% 185.94/30.33  |   (143)   ~ (all_52_13 = e2)
% 185.94/30.33  | 
% 185.94/30.33  | REDUCE: (51), (129) imply:
% 185.94/30.33  |   (144)   ~ (all_52_14 = e2)
% 185.94/30.33  | 
% 185.94/30.33  | SIMP: (144) implies:
% 185.94/30.33  |   (145)   ~ (all_52_14 = e2)
% 185.94/30.33  | 
% 185.94/30.33  | REDUCE: (91), (129) imply:
% 185.94/30.33  |   (146)   ~ (all_6_2 = e2)
% 185.94/30.33  | 
% 185.94/30.33  | SIMP: (146) implies:
% 185.94/30.33  |   (147)   ~ (all_6_2 = e2)
% 185.94/30.33  | 
% 185.94/30.33  | REDUCE: (1), (129) imply:
% 185.94/30.33  |   (148)   ~ (all_4_2 = e2)
% 185.94/30.33  | 
% 185.94/30.33  | SIMP: (148) implies:
% 185.94/30.33  |   (149)   ~ (all_4_2 = e2)
% 185.94/30.33  | 
% 185.94/30.33  | BETA: splitting (58) gives:
% 185.94/30.33  | 
% 185.94/30.33  | Case 1:
% 185.94/30.33  | | 
% 185.94/30.33  | |   (150)  all_54_0 = e3
% 185.94/30.33  | | 
% 185.94/30.33  | | COMBINE_EQS: (25), (150) imply:
% 185.94/30.33  | |   (151)  all_4_2 = e3
% 185.94/30.33  | | 
% 185.94/30.33  | | SIMP: (151) implies:
% 185.94/30.33  | |   (152)  all_4_2 = e3
% 185.94/30.33  | | 
% 185.94/30.33  | | REDUCE: (20), (152) imply:
% 185.94/30.33  | |   (153)   ~ (all_52_1 = e3)
% 185.94/30.33  | | 
% 185.94/30.33  | | REDUCE: (90), (152) imply:
% 185.94/30.33  | |   (154)   ~ (all_52_2 = e3)
% 185.94/30.33  | | 
% 185.94/30.33  | | REDUCE: (106), (152) imply:
% 185.94/30.33  | |   (155)   ~ (all_52_4 = e3)
% 185.94/30.33  | | 
% 185.94/30.33  | | REDUCE: (149), (152) imply:
% 185.94/30.33  | |   (156)   ~ (e3 = e2)
% 185.94/30.33  | | 
% 185.94/30.33  | | REDUCE: (120), (152) imply:
% 185.94/30.33  | |   (157)   ~ (e3 = e1)
% 185.94/30.33  | | 
% 185.94/30.33  | | REDUCE: (12), (152) imply:
% 185.94/30.33  | |   (158)   ~ (e3 = e0)
% 185.94/30.33  | | 
% 185.94/30.33  | | REDUCE: (97), (152) imply:
% 185.94/30.33  | |   (159)  op(e3, e3) = e3
% 185.94/30.33  | | 
% 185.94/30.33  | | BETA: splitting (80) gives:
% 185.94/30.33  | | 
% 185.94/30.33  | | Case 1:
% 185.94/30.33  | | | 
% 185.94/30.33  | | |   (160)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 185.94/30.33  | | |            e3)
% 185.94/30.33  | | | 
% 185.94/30.33  | | | BETA: splitting (160) gives:
% 185.94/30.33  | | | 
% 185.94/30.33  | | | Case 1:
% 185.94/30.33  | | | | 
% 185.94/30.33  | | | |   (161)  all_56_0 = e3 & op(e3, e3) = e3
% 185.94/30.33  | | | | 
% 185.94/30.33  | | | | ALPHA: (161) implies:
% 185.94/30.33  | | | |   (162)  all_56_0 = e3
% 185.94/30.33  | | | | 
% 185.94/30.33  | | | | BETA: splitting (9) gives:
% 185.94/30.33  | | | | 
% 185.94/30.33  | | | | Case 1:
% 185.94/30.33  | | | | | 
% 185.94/30.33  | | | | |   (163)   ~ (all_32_2 = e3)
% 185.94/30.33  | | | | | 
% 185.94/30.33  | | | | | REDUCE: (75), (163) imply:
% 185.94/30.33  | | | | |   (164)   ~ (all_6_2 = e3)
% 185.94/30.33  | | | | | 
% 185.94/30.33  | | | | | BETA: splitting (5) gives:
% 185.94/30.33  | | | | | 
% 185.94/30.33  | | | | | Case 1:
% 185.94/30.33  | | | | | | 
% 185.94/30.33  | | | | | |   (165)  all_54_15 = e3
% 185.94/30.33  | | | | | | 
% 185.94/30.33  | | | | | | REF_CLOSE: (23), (164), (165) are inconsistent by sub-proof #1608.
% 185.94/30.33  | | | | | | 
% 185.94/30.33  | | | | | Case 2:
% 185.94/30.33  | | | | | | 
% 185.94/30.33  | | | | | |   (166)   ~ (all_54_15 = e3)
% 185.94/30.33  | | | | | |   (167)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 185.94/30.33  | | | | | | 
% 185.94/30.33  | | | | | | BETA: splitting (167) gives:
% 185.94/30.33  | | | | | | 
% 185.94/30.33  | | | | | | Case 1:
% 185.94/30.33  | | | | | | | 
% 185.94/30.33  | | | | | | |   (168)  all_54_15 = e2
% 185.94/30.33  | | | | | | | 
% 185.94/30.33  | | | | | | | REF_CLOSE: (23), (147), (168) are inconsistent by sub-proof #1607.
% 185.94/30.33  | | | | | | | 
% 185.94/30.33  | | | | | | Case 2:
% 185.94/30.33  | | | | | | | 
% 185.94/30.33  | | | | | | |   (169)   ~ (all_54_15 = e2)
% 185.94/30.33  | | | | | | |   (170)  all_54_15 = e1 | all_54_15 = e0
% 185.94/30.33  | | | | | | | 
% 185.94/30.33  | | | | | | | BETA: splitting (170) gives:
% 185.94/30.33  | | | | | | | 
% 185.94/30.33  | | | | | | | Case 1:
% 185.94/30.33  | | | | | | | | 
% 185.94/30.33  | | | | | | | |   (171)  all_54_15 = e1
% 185.94/30.33  | | | | | | | | 
% 185.94/30.33  | | | | | | | | REF_CLOSE: (14), (23), (171) are inconsistent by sub-proof
% 185.94/30.33  | | | | | | | |            #1606.
% 185.94/30.33  | | | | | | | | 
% 185.94/30.33  | | | | | | | Case 2:
% 185.94/30.33  | | | | | | | | 
% 185.94/30.33  | | | | | | | |   (172)  all_54_15 = e0
% 185.94/30.33  | | | | | | | | 
% 185.94/30.33  | | | | | | | | COMBINE_EQS: (23), (172) imply:
% 185.94/30.33  | | | | | | | |   (173)  all_6_2 = e0
% 185.94/30.33  | | | | | | | | 
% 185.94/30.33  | | | | | | | | SIMP: (173) implies:
% 185.94/30.33  | | | | | | | |   (174)  all_6_2 = e0
% 185.94/30.33  | | | | | | | | 
% 185.94/30.33  | | | | | | | | COMBINE_EQS: (67), (174) imply:
% 185.94/30.33  | | | | | | | |   (175)  all_57_31 = e0
% 185.94/30.33  | | | | | | | | 
% 185.94/30.33  | | | | | | | | REDUCE: (83), (174) imply:
% 185.94/30.33  | | | | | | | |   (176)   ~ (all_52_7 = e0)
% 185.94/30.33  | | | | | | | | 
% 185.94/30.33  | | | | | | | | REDUCE: (30), (174) imply:
% 185.94/30.33  | | | | | | | |   (177)   ~ (all_52_13 = e0)
% 185.94/30.33  | | | | | | | | 
% 185.94/30.33  | | | | | | | | REDUCE: (100), (174) imply:
% 185.94/30.33  | | | | | | | |   (178)   ~ (all_52_14 = e0)
% 185.94/30.33  | | | | | | | | 
% 185.94/30.33  | | | | | | | | REDUCE: (164), (174) imply:
% 185.94/30.33  | | | | | | | |   (179)   ~ (e3 = e0)
% 185.94/30.33  | | | | | | | | 
% 185.94/30.33  | | | | | | | | REDUCE: (147), (174) imply:
% 185.94/30.33  | | | | | | | |   (180)   ~ (e2 = e0)
% 185.94/30.33  | | | | | | | | 
% 185.94/30.33  | | | | | | | | REDUCE: (14), (174) imply:
% 185.94/30.33  | | | | | | | |   (181)   ~ (e1 = e0)
% 185.94/30.33  | | | | | | | | 
% 185.94/30.33  | | | | | | | | REDUCE: (4), (174) imply:
% 185.94/30.33  | | | | | | | |   (182)  op(e0, e0) = e0
% 185.94/30.33  | | | | | | | | 
% 185.94/30.33  | | | | | | | | BETA: splitting (115) gives:
% 185.94/30.33  | | | | | | | | 
% 185.94/30.33  | | | | | | | | Case 1:
% 185.94/30.33  | | | | | | | | | 
% 185.94/30.33  | | | | | | | | |   (183)  all_56_15 = e0 & op(e0, e0) = e0
% 185.94/30.33  | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | ALPHA: (183) implies:
% 185.94/30.33  | | | | | | | | |   (184)  all_56_15 = e0
% 185.94/30.33  | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | BETA: splitting (94) gives:
% 185.94/30.33  | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | Case 1:
% 185.94/30.33  | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | |   (185)  all_54_7 = e3
% 185.94/30.33  | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | COMBINE_EQS: (65), (185) imply:
% 185.94/30.33  | | | | | | | | | |   (186)  all_52_13 = e3
% 185.94/30.33  | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | REDUCE: (46), (186) imply:
% 185.94/30.33  | | | | | | | | | |   (187)   ~ (all_52_9 = e3)
% 185.94/30.33  | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | REDUCE: (24), (186) imply:
% 185.94/30.33  | | | | | | | | | |   (188)   ~ (all_52_14 = e3)
% 185.94/30.33  | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | SIMP: (188) implies:
% 185.94/30.33  | | | | | | | | | |   (189)   ~ (all_52_14 = e3)
% 185.94/30.33  | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | BETA: splitting (50) gives:
% 185.94/30.33  | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | Case 1:
% 185.94/30.33  | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | |   (190)  all_54_11 = e3
% 185.94/30.33  | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | COMBINE_EQS: (72), (190) imply:
% 185.94/30.33  | | | | | | | | | | |   (191)  all_52_14 = e3
% 185.94/30.33  | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | REDUCE: (189), (191) imply:
% 185.94/30.33  | | | | | | | | | | |   (192)  $false
% 185.94/30.33  | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | CLOSE: (192) is inconsistent.
% 185.94/30.33  | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | Case 2:
% 185.94/30.33  | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | |   (193)   ~ (all_54_11 = e3)
% 185.94/30.33  | | | | | | | | | | |   (194)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 185.94/30.33  | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | BETA: splitting (99) gives:
% 185.94/30.33  | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | Case 1:
% 185.94/30.33  | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | |   (195)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 185.94/30.33  | | | | | | | | | | | |            & op(e2, e2) = e3)
% 185.94/30.33  | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | BETA: splitting (195) gives:
% 185.94/30.33  | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | Case 1:
% 185.94/30.33  | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | |   (196)  all_56_2 = e3 & op(e2, e3) = e3
% 185.94/30.33  | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | | ALPHA: (196) implies:
% 185.94/30.33  | | | | | | | | | | | | |   (197)  all_56_2 = e3
% 185.94/30.33  | | | | | | | | | | | | |   (198)  op(e2, e3) = e3
% 185.94/30.33  | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | | REF_CLOSE: (12), (18), (31), (32), (38), (59), (60), (97),
% 185.94/30.33  | | | | | | | | | | | | |            (121), (133), (156), (157), (158), (159), (197),
% 185.94/30.33  | | | | | | | | | | | | |            (198) are inconsistent by sub-proof #1123.
% 185.94/30.33  | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | Case 2:
% 185.94/30.33  | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | |   (199)  all_56_3 = e3 & op(e2, e2) = e3
% 185.94/30.33  | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | | ALPHA: (199) implies:
% 185.94/30.33  | | | | | | | | | | | | |   (200)  op(e2, e2) = e3
% 185.94/30.33  | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | | REF_CLOSE: (59), (119), (156), (200) are inconsistent by
% 185.94/30.33  | | | | | | | | | | | | |            sub-proof #1602.
% 185.94/30.33  | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | End of split
% 185.94/30.33  | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | Case 2:
% 185.94/30.33  | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | |   (201)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 185.94/30.33  | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 185.94/30.33  | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | BETA: splitting (201) gives:
% 185.94/30.33  | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | Case 1:
% 185.94/30.33  | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | |   (202)  all_56_5 = e3 & op(e2, e1) = e3
% 185.94/30.33  | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | | ALPHA: (202) implies:
% 185.94/30.33  | | | | | | | | | | | | |   (203)  op(e2, e1) = e3
% 185.94/30.33  | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | | REF_CLOSE: (34), (59), (187), (203) are inconsistent by
% 185.94/30.33  | | | | | | | | | | | | |            sub-proof #1449.
% 185.94/30.33  | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | Case 2:
% 185.94/30.33  | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | |   (204)  all_56_10 = e3 & op(e2, e0) = e3
% 185.94/30.33  | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | | ALPHA: (204) implies:
% 185.94/30.33  | | | | | | | | | | | | |   (205)  all_56_10 = e3
% 185.94/30.33  | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | | BETA: splitting (26) gives:
% 185.94/30.33  | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | | Case 1:
% 185.94/30.33  | | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | | |   (206)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.94/30.33  | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.94/30.33  | | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 185.94/30.33  | | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | | | Case 1:
% 185.94/30.33  | | | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | | | |   (207)  all_56_9 = e1 & op(e3, e0) = e1
% 185.94/30.33  | | | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | | | | REF_CLOSE: (8), (133), (207) are inconsistent by sub-proof
% 185.94/30.33  | | | | | | | | | | | | | | |            #1565.
% 185.94/30.33  | | | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | | | Case 2:
% 185.94/30.33  | | | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | | | |   (208)  all_56_10 = e1 & op(e2, e0) = e1
% 185.94/30.33  | | | | | | | | | | | | | | | 
% 185.94/30.33  | | | | | | | | | | | | | | | REF_CLOSE: (157), (205), (208) are inconsistent by sub-proof
% 185.94/30.33  | | | | | | | | | | | | | | |            #1486.
% 185.94/30.34  | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | End of split
% 185.94/30.34  | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | |   (209)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.94/30.34  | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.94/30.34  | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 185.94/30.34  | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | |   (210)  all_56_11 = e1 & op(e1, e0) = e1
% 185.94/30.34  | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | ALPHA: (210) implies:
% 185.94/30.34  | | | | | | | | | | | | | | |   (211)  all_56_11 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | |   (212)  all_54_11 = e2
% 185.94/30.34  | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | REF_CLOSE: (72), (145), (212) are inconsistent by sub-proof
% 185.94/30.34  | | | | | | | | | | | | | | | |            #1115.
% 185.94/30.34  | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | |   (213)   ~ (all_54_11 = e2)
% 185.94/30.34  | | | | | | | | | | | | | | | |   (214)  all_54_11 = e1 | all_54_11 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | BETA: splitting (15) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | |   (215)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 185.94/30.34  | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | |   (216)  all_56_4 = e3 & op(e3, e1) = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | ALPHA: (216) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | |   (217)  all_56_4 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | |   (218)  op(e3, e1) = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (18), (29), (31), (32), (38), (48),
% 185.94/30.34  | | | | | | | | | | | | | | | | | |            (59), (60), (69), (80), (84), (95), (97), (121),
% 185.94/30.34  | | | | | | | | | | | | | | | | | |            (133), (156), (157), (158), (159), (217), (218)
% 185.94/30.34  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #968.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | |   (219)  all_56_5 = e3 & op(e2, e1) = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | ALPHA: (219) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | |   (220)  op(e2, e1) = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (59), (187), (220) are inconsistent by
% 185.94/30.34  | | | | | | | | | | | | | | | | | |            sub-proof #1449.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | End of split
% 185.94/30.34  | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | |   (221)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 185.94/30.34  | | | | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 185.94/30.34  | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | |   (222)  all_56_8 = e3 & op(e1, e1) = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | ALPHA: (222) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | |   (223)  op(e1, e1) = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (110), (156), (223) are inconsistent by
% 185.94/30.34  | | | | | | | | | | | | | | | | | |            sub-proof #1164.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | |   (224)  all_56_14 = e3 & op(e0, e1) = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | ALPHA: (224) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | |   (225)  all_56_14 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | |   (226)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e3)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | |   (227)  all_56_6 = e3 & op(e1, e3) = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | ALPHA: (227) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | |   (228)  all_56_6 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | |   (229)  op(e1, e3) = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | |   (230)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | |   (231)  all_56_12 = e1 & op(e0, e3) = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (231) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | |   (232)  all_56_12 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | |   (233)  op(e0, e3) = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12), (18), (31), (35), (38), (59), (97),
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | |            (107), (110), (121), (133), (156), (157), (158),
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | |            (159), (211), (229), (232), (233) are inconsistent
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #964.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | |   (234)  all_56_13 = e1 & op(e0, e2) = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (234) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | |   (235)  all_56_13 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | |   (236)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (18), (29), (38), (59), (69), (97),
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | |            (119), (133), (156), (157), (158), (159), (236)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #962.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | |   (237)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | |   (238)  all_56_7 = e3 & op(e1, e2) = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (238) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_56_7 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (35), (38), (59), (68), (77), (108), (133),
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | |            (156), (158), (211), (228), (229), (239) are
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #960.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_56_13 = e3 & op(e0, e2) = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (240) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | |   (241)  all_56_13 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (235), (241) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | |   (242)  e3 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (205), (242) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | |   (243)  all_56_10 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18), (38), (59), (87), (92), (115), (156),
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | |            (157), (158), (177), (211), (243) are inconsistent
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1205.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | |   (244)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (14), (18), (38), (59), (87), (92),
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | |            (115), (156), (157), (158), (177), (205), (211),
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | |            (225), (244) are inconsistent by sub-proof #959.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | |   (245)  all_56_7 = e3 & op(e1, e2) = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | ALPHA: (245) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | |   (246)  all_56_7 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | |   (247)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | |   (248)  all_56_12 = e1 & op(e0, e3) = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (248) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | |   (249)  all_56_12 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (59), (60), (88), (133), (147), (156),
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | |            (205), (211), (249) are inconsistent by sub-proof
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | |            #953.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | |   (250)  all_56_13 = e1 & op(e0, e2) = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (250) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | |   (251)  all_56_13 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_54_11 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (72), (252) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_52_14 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (253) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_52_14 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (254) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | |   (255)   ~ (all_52_2 = e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (254) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | |   (256)   ~ (all_52_6 = e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (189), (254) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | |   (257)   ~ (e3 = e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (254) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | |   (258)   ~ (e2 = e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | |   (259)  all_54_8 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (259) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_52_2 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (154), (260) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | |   (261)  $false
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (261) is inconsistent.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | |   (262)   ~ (all_54_8 = e3)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_56_6 = e0 & op(e1, e3) = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (265) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_56_6 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_54_8 = e2
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (71), (135), (267) are inconsistent by sub-proof
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1240.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)   ~ (all_54_8 = e2)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_54_8 = e1 | all_54_8 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_54_8 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (71), (255), (270) are inconsistent by sub-proof
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #952.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_54_8 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (271) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_52_2 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (272) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_52_2 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (273) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)   ~ (all_52_1 = e0)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (273) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)   ~ (all_52_6 = e0)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (275) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)   ~ (all_52_6 = e0)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (273) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  op(e1, e3) = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  all_54_4 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (153), (278) are inconsistent by sub-proof
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1078.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  all_54_4 = e2
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (134), (280) are inconsistent by sub-proof
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1084.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  all_54_4 = e1 | all_54_4 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_56_0 = e1 & op(e3, e3) = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (283) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  op(e3, e3) = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (157), (159), (284) are inconsistent by
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1600.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_56_2 = e1 & op(e2, e3) = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (285) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_56_2 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (86) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e0)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_56_1 = e0 & op(e3, e2) = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (288) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  op(e3, e2) = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_54_9 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (81), (290) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_52_6 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (291) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_52_6 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (292) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)   ~ (all_52_7 = e3)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (293) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)   ~ (all_52_7 = e3)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (66) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  all_54_13 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (294), (295) are inconsistent by sub-proof
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1302.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  all_56_0 = e1 & op(e3, e3) = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (298) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_56_0 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18), (31), (35), (38), (48), (59), (107),
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (108), (110), (133), (156), (157), (158), (266),
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (276), (286), (299) are inconsistent by sub-proof
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #948.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_56_1 = e1 & op(e3, e2) = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (300) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  all_56_1 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (38), (42), (59), (86), (133), (156), (158),
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (246), (251), (301) are inconsistent by sub-proof
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1426.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_56_4 = e1 & op(e3, e1) = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (303) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_56_4 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_54_4 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (53), (305) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  all_52_1 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (306) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  all_52_1 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (307) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)   ~ (all_52_9 = e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (308) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)   ~ (all_52_9 = e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (307) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  op(e2, e3) = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (62) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  all_54_6 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (187), (311) are inconsistent by sub-proof
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1242.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_54_6 = e2
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (131), (313) are inconsistent by sub-proof
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1241.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)   ~ (all_54_6 = e2)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_54_6 = e1 | all_54_6 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (296) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_54_13 = e2
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (137), (316) are inconsistent by sub-proof
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1185.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)   ~ (all_54_13 = e2)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_54_13 = e1 | all_54_13 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_54_13 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (39), (319) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  all_52_7 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (320) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  all_52_7 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (321) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)   ~ (all_52_11 = e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (322) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)   ~ (all_52_11 = e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_54_14 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (118), (324) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_52_11 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (325) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  all_52_11 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (125), (326) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_57_27 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (326) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)   ~ (all_52_8 = e3)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (59), (289), (310), (331) are inconsistent
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1537.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (332) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  op(e1, e3) = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (158), (277), (333) are inconsistent by
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1536.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_17) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (335) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  op(e3, e0) = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (37), (41), (59), (65), (72), (94), (143),
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (145), (177), (178), (194), (336) are inconsistent
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #941.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21) = all_57_7 & op(e2, all_57_29) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (337) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  op(e2, e3) = e2
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  op(e3, e2) = e2
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_54_6 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (309), (340) are inconsistent by sub-proof
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #940.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_54_6 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (341) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_52_9 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (342) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_52_9 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (343) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)   ~ (all_52_8 = e0)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_54_2 = e3
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (328), (345) are inconsistent by sub-proof
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1335.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)   ~ (all_54_2 = e3)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (347) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  all_54_2 = e2
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (141), (348) are inconsistent by sub-proof
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1480.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)   ~ (all_54_2 = e2)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  all_54_2 = e1 | all_54_2 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (350) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  all_54_2 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (93), (351) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_52_8 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (352) implies:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  all_52_8 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (59) with e1, e2, e3, e2,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (310), (338) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  e2 = e1
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (59) with e0, e2, e2, e3,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (289), (339) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  e2 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (355) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  e1 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (304), (356) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  all_56_4 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (355) imply:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)  all_56_3 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (18), (38), (59), (76), (110), (124), (133),
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (156), (157), (158), (205), (286), (357), (358)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #931.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  all_54_2 = e0
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (344), (359) are inconsistent by sub-proof
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1325.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (68), (108), (112), (137), (361) are
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1612.
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (362) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (363) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  op(e1, e3) = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (12), (14), (15), (52), (59), (61),
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (85), (95), (97), (104), (110), (111), (114),
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (121), (124), (131), (133), (147), (156), (157),
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (182), (187), (309), (315), (364) are inconsistent
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #925.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (366) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  op(e2, e1) = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (59), (309), (367) are inconsistent by
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1610.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0))))
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (368) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22) = all_57_8 & op(e1, all_57_23) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (370) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  all_57_27 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (327), (371) imply:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  e3 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (372) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  e3 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (162), (373) imply:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  all_56_0 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18), (31), (35), (38), (48), (59), (107),
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (108), (110), (133), (156), (157), (158), (266),
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (276), (286), (374) are inconsistent by sub-proof
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #948.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25) = all_57_12 & op(e0, all_57_26) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_25 = e0 & op(e3, e0) = e0) |
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0))
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (175), (375) are inconsistent by sub-proof
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1584.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (132), (139), (323), (376) are inconsistent
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1233.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  all_54_13 = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (176), (377) are inconsistent by sub-proof
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1312.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  all_54_4 = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (274), (378) are inconsistent by sub-proof
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #924.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  all_56_9 = e1 & op(e3, e0) = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (379) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  all_56_9 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18), (35), (38), (59), (88), (107), (108),
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (110), (133), (156), (157), (158), (184), (205),
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (276), (380) are inconsistent by sub-proof #919.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (68), (81), (256), (276), (381) are inconsistent
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1319.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  all_56_3 = e0 & op(e2, e2) = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (382) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  op(e2, e2) = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (59), (119), (383) are inconsistent by
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1586.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (108), (112), (176), (276), (384) are
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1198.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  all_56_6 = e1 & op(e1, e3) = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (386) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  op(e1, e3) = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12), (14), (15), (18), (38), (52), (59),
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (61), (85), (95), (97), (104), (110), (111),
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (121), (124), (133), (147), (156), (157), (158),
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (182), (274), (387) are inconsistent by sub-proof
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #926.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  all_56_12 = e1 & op(e0, e3) = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (388) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  all_56_12 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (60), (389) imply:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  e2 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (390) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  e2 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8), (391) imply:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  all_56_9 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18), (35), (38), (59), (88), (107), (108),
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (110), (133), (156), (157), (158), (184), (205),
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (276), (392) are inconsistent by sub-proof #919.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  all_56_7 = e0 & op(e1, e2) = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (246), (393) are inconsistent by sub-proof
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            #967.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (38), (59), (110), (178), (394) are
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #918.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | |   (395)  all_54_11 = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (178), (395) are inconsistent by sub-proof
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | |            #1329.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |   (396)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (14), (18), (38), (59), (87), (92),
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |            (115), (156), (157), (158), (177), (205), (211),
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |            (225), (396) are inconsistent by sub-proof #959.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | |   (397)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e0) = e3)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | BETA: splitting (397) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |   (398)  all_56_8 = e3 & op(e1, e1) = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | ALPHA: (398) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |   (399)  op(e1, e1) = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (110), (156), (399) are inconsistent by
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |            sub-proof #1164.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |   (400)  all_56_11 = e3 & op(e1, e0) = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | ALPHA: (400) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |   (401)  all_56_11 = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (211), (401) imply:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |   (402)  e3 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | SIMP: (402) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |   (403)  e3 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (205), (403) imply:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |   (404)  all_56_10 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18), (38), (59), (87), (92), (115), (156),
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |            (157), (158), (177), (211), (404) are inconsistent
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |            by sub-proof #1205.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | |   (405)  all_56_15 = e1 & op(e0, e0) = e1
% 185.94/30.35  | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | ALPHA: (405) implies:
% 185.94/30.35  | | | | | | | | | | | | | | |   (406)  op(e0, e0) = e1
% 185.94/30.35  | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (59), (406) are inconsistent by
% 185.94/30.35  | | | | | | | | | | | | | | |            sub-proof #1516.
% 185.94/30.35  | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | |   (407)   ~ (all_54_7 = e3)
% 185.94/30.35  | | | | | | | | | |   (408)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.94/30.35  | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | REDUCE: (65), (407) imply:
% 185.94/30.35  | | | | | | | | | |   (409)   ~ (all_52_13 = e3)
% 185.94/30.35  | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | BETA: splitting (408) gives:
% 185.94/30.35  | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | |   (410)  all_54_7 = e2
% 185.94/30.35  | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | COMBINE_EQS: (65), (410) imply:
% 185.94/30.35  | | | | | | | | | | |   (411)  all_52_13 = e2
% 185.94/30.35  | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | REDUCE: (143), (411) imply:
% 185.94/30.35  | | | | | | | | | | |   (412)  $false
% 185.94/30.35  | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | CLOSE: (412) is inconsistent.
% 185.94/30.35  | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | |   (413)   ~ (all_54_7 = e2)
% 185.94/30.35  | | | | | | | | | | |   (414)  all_54_7 = e1 | all_54_7 = e0
% 185.94/30.35  | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | BETA: splitting (414) gives:
% 185.94/30.35  | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | |   (415)  all_54_7 = e1
% 185.94/30.35  | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | COMBINE_EQS: (65), (415) imply:
% 185.94/30.35  | | | | | | | | | | | |   (416)  all_52_13 = e1
% 185.94/30.35  | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | REDUCE: (63), (416) imply:
% 185.94/30.35  | | | | | | | | | | | |   (417)   ~ (all_52_1 = e1)
% 185.94/30.35  | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | REDUCE: (46), (416) imply:
% 185.94/30.35  | | | | | | | | | | | |   (418)   ~ (all_52_9 = e1)
% 185.94/30.35  | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | REDUCE: (24), (416) imply:
% 185.94/30.35  | | | | | | | | | | | |   (419)   ~ (all_52_14 = e1)
% 185.94/30.35  | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | SIMP: (419) implies:
% 185.94/30.35  | | | | | | | | | | | |   (420)   ~ (all_52_14 = e1)
% 185.94/30.35  | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | REDUCE: (409), (416) imply:
% 185.94/30.35  | | | | | | | | | | | |   (421)   ~ (e3 = e1)
% 185.94/30.35  | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | REDUCE: (143), (416) imply:
% 185.94/30.35  | | | | | | | | | | | |   (422)   ~ (e2 = e1)
% 185.94/30.35  | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | BETA: splitting (10) gives:
% 185.94/30.35  | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | |   (423)  all_54_4 = e3
% 185.94/30.35  | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | REF_CLOSE: (53), (153), (423) are inconsistent by sub-proof
% 185.94/30.35  | | | | | | | | | | | | |            #1078.
% 185.94/30.35  | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | |   (424)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 185.94/30.35  | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | BETA: splitting (13) gives:
% 185.94/30.35  | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | |   (425)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 185.94/30.35  | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 185.94/30.35  | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (18), (29), (38), (59), (69), (97),
% 185.94/30.35  | | | | | | | | | | | | | |            (119), (133), (156), (157), (158), (159), (425)
% 185.94/30.35  | | | | | | | | | | | | | |            are inconsistent by sub-proof #962.
% 185.94/30.35  | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | |   (426)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 185.94/30.35  | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 185.94/30.35  | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | BETA: splitting (426) gives:
% 185.94/30.35  | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | |   (427)  all_56_7 = e3 & op(e1, e2) = e3
% 185.94/30.35  | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | ALPHA: (427) implies:
% 185.94/30.35  | | | | | | | | | | | | | | |   (428)  all_56_7 = e3
% 185.94/30.35  | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | BETA: splitting (92) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | |   (429)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 185.94/30.35  | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 185.94/30.35  | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | BETA: splitting (429) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | |   (430)  all_56_9 = e3 & op(e3, e0) = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | ALPHA: (430) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | |   (431)  all_56_9 = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (156), (431) are inconsistent by sub-proof
% 185.94/30.35  | | | | | | | | | | | | | | | | |            #1576.
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | |   (432)  all_56_10 = e3 & op(e2, e0) = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | ALPHA: (432) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | |   (433)  all_56_10 = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (14), (21), (26), (59), (133), (157),
% 185.94/30.35  | | | | | | | | | | | | | | | | |            (420), (433) are inconsistent by sub-proof #1359.
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | |   (434)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 185.94/30.35  | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 185.94/30.35  | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | BETA: splitting (434) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | |   (435)  all_56_11 = e3 & op(e1, e0) = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | ALPHA: (435) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | |   (436)  all_56_11 = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | |   (437)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (59), (157), (159), (417), (437) are
% 185.94/30.35  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1094.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | |   (438)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 185.94/30.35  | | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | BETA: splitting (438) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | |   (439)  all_56_6 = e1 & op(e1, e3) = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | ALPHA: (439) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | |   (440)  all_56_6 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | |   (441)  op(e1, e3) = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |   (442)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | BETA: splitting (442) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |   (443)  all_56_6 = e0 & op(e1, e3) = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | ALPHA: (443) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |   (444)  op(e1, e3) = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (59), (441), (444) are inconsistent by
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1251.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |   (445)  all_56_7 = e0 & op(e1, e2) = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | ALPHA: (445) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |   (446)  all_56_7 = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (428), (446) are inconsistent by sub-proof
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |            #1464.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |   (447)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | BETA: splitting (447) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |   (448)  all_56_8 = e0 & op(e1, e1) = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | ALPHA: (448) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |   (449)  op(e1, e1) = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (59), (68), (77), (108), (133), (156),
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |            (436), (440), (449) are inconsistent by sub-proof
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |            #1214.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |   (450)  all_56_11 = e0 & op(e1, e0) = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | ALPHA: (450) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |   (451)  op(e1, e0) = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (59), (178), (451) are inconsistent by
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1318.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | |   (452)  all_56_12 = e1 & op(e0, e3) = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | ALPHA: (452) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | |   (453)  all_56_12 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (133), (453) are inconsistent by sub-proof
% 185.94/30.35  | | | | | | | | | | | | | | | | | | |            #1383.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | |   (454)  all_56_15 = e3 & op(e0, e0) = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | ALPHA: (454) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | |   (455)  op(e0, e0) = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (158), (182), (455) are inconsistent by
% 185.94/30.35  | | | | | | | | | | | | | | | | |            sub-proof #1540.
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | |   (456)  all_56_13 = e3 & op(e0, e2) = e3
% 185.94/30.35  | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | ALPHA: (456) implies:
% 185.94/30.35  | | | | | | | | | | | | | | |   (457)  all_56_13 = e3
% 185.94/30.35  | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | BETA: splitting (92) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | |   (458)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 185.94/30.35  | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 185.94/30.35  | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | BETA: splitting (458) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | |   (459)  all_56_9 = e3 & op(e3, e0) = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | ALPHA: (459) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | |   (460)  all_56_9 = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | COMBINE_EQS: (8), (460) imply:
% 185.94/30.35  | | | | | | | | | | | | | | | | |   (461)  e3 = e2
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | SIMP: (461) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | |   (462)  e3 = e2
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (462) imply:
% 185.94/30.35  | | | | | | | | | | | | | | | | |   (463)  all_56_13 = e2
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (18), (38), (59), (60), (85), (104),
% 185.94/30.35  | | | | | | | | | | | | | | | | |            (115), (133), (156), (157), (158), (463) are
% 185.94/30.35  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1119.
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | |   (464)  all_56_10 = e3 & op(e2, e0) = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | ALPHA: (464) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | |   (465)  all_56_10 = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (14), (21), (26), (59), (133), (157),
% 185.94/30.35  | | | | | | | | | | | | | | | | |            (420), (465) are inconsistent by sub-proof #1359.
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | End of split
% 185.94/30.35  | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | |   (466)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 185.94/30.35  | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 185.94/30.35  | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | BETA: splitting (466) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | |   (467)  all_56_11 = e3 & op(e1, e0) = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | ALPHA: (467) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | |   (468)  all_56_11 = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | |   (469)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 185.94/30.35  | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | BETA: splitting (469) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | |   (470)  all_56_9 = e1 & op(e3, e0) = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (133), (470) are inconsistent by sub-proof
% 185.94/30.35  | | | | | | | | | | | | | | | | | | |            #1565.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | |   (471)  all_56_10 = e1 & op(e2, e0) = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | ALPHA: (471) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | |   (472)  all_56_10 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |   (473)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e1)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (52), (59), (157), (159), (417), (473) are
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1094.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |   (474)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e3) = e1)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | BETA: splitting (474) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |   (475)  all_56_6 = e1 & op(e1, e3) = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | ALPHA: (475) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |   (476)  all_56_6 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | |   (477)  op(e1, e3) = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | |   (478)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (18), (38), (59), (60), (97), (119), (121),
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | |            (156), (158), (477), (478) are inconsistent by
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1248.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | |   (479)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (479) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | |   (480)  all_56_5 = e3 & op(e2, e1) = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (480) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | |   (481)  all_56_5 = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | |   (482)  op(e2, e1) = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | |   (483)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e0)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (483) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | |   (484)  all_56_4 = e0 & op(e3, e1) = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (484) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | |   (485)  all_56_4 = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (424) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (486)  all_54_4 = e2
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (134), (486) are inconsistent by sub-proof
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1084.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (487)   ~ (all_54_4 = e2)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | |   (488)  all_54_4 = e1 | all_54_4 = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (488) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (489)  all_54_4 = e1
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (53), (417), (489) are inconsistent by sub-proof
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1083.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (490)  all_54_4 = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (53), (490) imply:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (491)  all_52_1 = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (491) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (492)  all_52_1 = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (492) imply:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (493)   ~ (all_52_9 = e0)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (493) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (494)   ~ (all_52_9 = e0)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (492) imply:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (495)  op(e2, e3) = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (62) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (496)  all_54_6 = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2), (496) imply:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (497)  all_52_9 = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (497) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (498)  all_52_9 = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (498) imply:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (499)   ~ (all_52_8 = e3)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (498) imply:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (500)   ~ (all_52_11 = e3)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (500) implies:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (501)   ~ (all_52_11 = e3)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (502)  all_54_14 = e3
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (501), (502) are inconsistent by sub-proof
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1259.
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (503)   ~ (all_54_14 = e3)
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (504)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (504) gives:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (505)  all_54_14 = e2
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (118), (505) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (506)  all_52_11 = e2
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (506) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (507)  $false
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (507) is inconsistent.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (508)  all_54_14 = e1 | all_54_14 = e0
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (509)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (509) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (510)  all_56_12 = e1 & op(e0, e3) = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (510) implies:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (511)  all_56_12 = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (133), (511) are inconsistent by sub-proof
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1383.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (512)  all_56_13 = e1 & op(e0, e2) = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (512) implies:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (513)  all_56_13 = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (513) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (514)  e3 = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (514) implies:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (515)  e3 = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (515) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (516)  all_56_11 = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18), (38), (59), (87), (92), (115), (156),
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (158), (177), (472), (516) are inconsistent
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1205.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (517)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (517) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (518)  all_56_14 = e1 & op(e0, e1) = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (518) implies:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (519)  all_56_14 = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (508) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (520)  all_54_14 = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (118), (520) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (521)  all_52_11 = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (521) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (522)   ~ (all_52_8 = e1)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (521) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (523)  op(e0, e1) = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (524)  all_54_2 = e3
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (499), (524) are inconsistent by sub-proof
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1335.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (525)   ~ (all_54_2 = e3)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (526)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (527)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (527) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (528)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (528) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (529)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (529) implies:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (530)  op(e2, e3) = e3
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (158), (495), (530) are inconsistent by
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1596.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (531)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (531) implies:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (532)  op(e3, e1) = e3
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (34), (38), (59), (61), (95), (110), (158),
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (494), (523), (532) are inconsistent by sub-proof
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #915.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (533)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (533) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (534)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_17) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (534) implies:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (535)  op(e3, e0) = e3
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (536)  op(e3, all_57_17) = all_57_2
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (536) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (537)  op(e3, all_52_8) = all_57_2
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (526) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (538)  all_54_2 = e2
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (93), (538) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (539)  all_52_8 = e2
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (539) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (540)  $false
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (540) is inconsistent.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (541)   ~ (all_54_2 = e2)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (542)  all_54_2 = e1 | all_54_2 = e0
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (542) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (543)  all_54_2 = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (93), (543) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (544)  all_52_8 = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (522), (544) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (545)  $false
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (545) is inconsistent.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (546)  all_54_2 = e0
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (93), (546) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (547)  all_52_8 = e0
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (547) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (548)   ~ (all_52_4 = e0)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (547) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (549)  op(e3, e0) = all_57_2
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (550)  all_54_1 = e3
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (123), (155), (550) are inconsistent by sub-proof
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1344.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (551)   ~ (all_54_1 = e3)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (552)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (552) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (553)  all_54_1 = e2
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (123), (140), (553) are inconsistent by sub-proof
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1338.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (554)   ~ (all_54_1 = e2)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (555)  all_54_1 = e1 | all_54_1 = e0
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (555) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (556)  all_54_1 = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (123), (556) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (557)  all_52_4 = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (557) implies:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (558)  all_52_4 = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (59) with e2, all_57_2, e0, e3,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (45), (549) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (559)  all_57_2 = e2
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (59) with e3, all_57_2, e0, e3,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (535), (549) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (560)  all_57_2 = e3
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (559), (560) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (561)  e3 = e2
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (481), (561) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (562)  all_56_5 = e2
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (18), (34), (38), (59), (61), (110), (124),
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (133), (156), (157), (158), (494), (519), (562)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #912.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (563)  all_54_1 = e0
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (123), (548), (563) are inconsistent by sub-proof
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #911.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (564)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21) = all_57_7 & op(e2, all_57_29) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (564) implies:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (565)  op(e2, e3) = e2
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (59), (495), (565) are inconsistent by
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1412.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (566)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (566) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (567)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (34), (59), (62), (112), (131), (137), (494),
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (567) are inconsistent by sub-proof #1038.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (568)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (568) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (569)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (569) implies:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (570)  op(e3, e1) = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (95), (522), (570) are inconsistent by
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1611.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (571)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (21), (59), (110), (156), (157), (158),
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (175), (420), (485), (519), (571) are inconsistent
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #905.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (572)  all_54_14 = e0
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (118), (572) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (573)  all_52_11 = e0
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (573) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (574)  $false
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (574) is inconsistent.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (575)  all_56_15 = e1 & op(e0, e0) = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (575) implies:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (576)  all_56_15 = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18), (38), (59), (87), (92), (115), (156),
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (157), (158), (177), (472), (576) are inconsistent
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #904.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (577)   ~ (all_54_6 = e3)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (577) imply:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (578)   ~ (all_52_9 = e3)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (59), (482), (578) are inconsistent by
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1449.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (579)  all_56_5 = e0 & op(e2, e1) = e0
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (481), (579) are inconsistent by sub-proof
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | |            #986.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | |   (580)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (580) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (581)  all_56_8 = e0 & op(e1, e1) = e0
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (581) implies:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (582)  op(e1, e1) = e0
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (59), (68), (77), (108), (133), (156),
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | |            (468), (476), (582) are inconsistent by sub-proof
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | |            #1214.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (583)  all_56_14 = e0 & op(e0, e1) = e0
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (583) implies:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (584)  op(e0, e1) = e0
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (28), (59), (105), (132), (584) are inconsistent
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #902.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | |   (585)  all_56_10 = e3 & op(e2, e0) = e3
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (585) implies:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | |   (586)  all_56_10 = e3
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (14), (21), (26), (59), (133), (157),
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | |            (420), (586) are inconsistent by sub-proof #1359.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | |   (587)  all_56_12 = e1 & op(e0, e3) = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (133), (587) are inconsistent by sub-proof
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | |            #1550.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | |   (588)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 185.94/30.36  | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.94/30.36  | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | BETA: splitting (588) gives:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | |   (589)  all_56_11 = e1 & op(e1, e0) = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | ALPHA: (589) implies:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | |   (590)  op(e1, e0) = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (59), (420), (590) are inconsistent by
% 185.94/30.36  | | | | | | | | | | | | | | | | | | |            sub-proof #1609.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | |   (591)  all_56_15 = e1 & op(e0, e0) = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | ALPHA: (591) implies:
% 185.94/30.36  | | | | | | | | | | | | | | | | | | |   (592)  all_56_15 = e1
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18), (38), (59), (87), (115), (158), (177),
% 185.94/30.36  | | | | | | | | | | | | | | | | | | |            (468), (592) are inconsistent by sub-proof #1201.
% 185.94/30.36  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | |   (593)  all_56_15 = e3 & op(e0, e0) = e3
% 185.94/30.36  | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | ALPHA: (593) implies:
% 185.94/30.36  | | | | | | | | | | | | | | | | |   (594)  op(e0, e0) = e3
% 185.94/30.36  | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (158), (182), (594) are inconsistent by
% 185.94/30.36  | | | | | | | | | | | | | | | | |            sub-proof #1540.
% 185.94/30.36  | | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | |   (595)  all_54_7 = e0
% 185.94/30.36  | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | COMBINE_EQS: (65), (595) imply:
% 185.94/30.36  | | | | | | | | | | | |   (596)  all_52_13 = e0
% 185.94/30.36  | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | REDUCE: (177), (596) imply:
% 185.94/30.36  | | | | | | | | | | | |   (597)  $false
% 185.94/30.36  | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | | CLOSE: (597) is inconsistent.
% 185.94/30.36  | | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | 
% 185.94/30.36  | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | 
% 185.94/30.36  | | | | | | | | |   (598)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0
% 185.94/30.36  | | | | | | | | |              & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.94/30.36  | | | | | | | | |              = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 185.94/30.36  | | | | | | | | |            (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 185.94/30.36  | | | | | | | | |              e0 & op(e0, e1) = e0))
% 185.94/30.36  | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | ALPHA: (598) implies:
% 185.94/30.36  | | | | | | | | |   (599)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0
% 185.94/30.36  | | | | | | | | |            & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.94/30.36  | | | | | | | | |            e0)
% 185.94/30.36  | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | BETA: splitting (599) gives:
% 185.94/30.36  | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | |   (600)  all_56_12 = e0 & op(e0, e3) = e0
% 185.94/30.36  | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | REF_CLOSE: (4), (14), (15), (18), (38), (59), (61), (85),
% 185.94/30.36  | | | | | | | | | |            (95), (104), (110), (111), (124), (133), (147),
% 185.94/30.36  | | | | | | | | | |            (156), (157), (158), (182), (600) are inconsistent
% 185.94/30.36  | | | | | | | | | |            by sub-proof #927.
% 185.94/30.36  | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | |   (601)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 185.94/30.36  | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 185.94/30.36  | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | BETA: splitting (601) gives:
% 185.94/30.36  | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | Case 1:
% 185.94/30.36  | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | |   (602)  all_56_13 = e0 & op(e0, e2) = e0
% 185.94/30.36  | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | ALPHA: (602) implies:
% 185.94/30.36  | | | | | | | | | | |   (603)  op(e0, e2) = e0
% 185.94/30.36  | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | REF_CLOSE: (59), (112), (176), (603) are inconsistent by
% 185.94/30.36  | | | | | | | | | | |            sub-proof #1463.
% 185.94/30.36  | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | Case 2:
% 185.94/30.36  | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | |   (604)  all_56_14 = e0 & op(e0, e1) = e0
% 185.94/30.36  | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | ALPHA: (604) implies:
% 185.94/30.36  | | | | | | | | | | |   (605)  op(e0, e1) = e0
% 185.94/30.36  | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | | REF_CLOSE: (28), (59), (105), (132), (605) are inconsistent
% 185.94/30.36  | | | | | | | | | | |            by sub-proof #902.
% 185.94/30.36  | | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | | 
% 185.94/30.36  | | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | | 
% 185.94/30.36  | | | | | | | | End of split
% 185.94/30.36  | | | | | | | | 
% 185.94/30.36  | | | | | | | End of split
% 185.94/30.36  | | | | | | | 
% 185.94/30.36  | | | | | | End of split
% 185.94/30.36  | | | | | | 
% 185.94/30.36  | | | | | End of split
% 185.94/30.36  | | | | | 
% 185.94/30.36  | | | | Case 2:
% 185.94/30.36  | | | | | 
% 185.94/30.36  | | | | |   (606)  all_32_2 = e3
% 185.94/30.36  | | | | | 
% 185.94/30.36  | | | | | COMBINE_EQS: (75), (606) imply:
% 185.94/30.36  | | | | |   (607)  all_6_2 = e3
% 185.94/30.36  | | | | | 
% 185.94/30.36  | | | | | SIMP: (607) implies:
% 185.94/30.36  | | | | |   (608)  all_6_2 = e3
% 185.94/30.36  | | | | | 
% 185.94/30.36  | | | | | REDUCE: (83), (608) imply:
% 185.94/30.36  | | | | |   (609)   ~ (all_52_7 = e3)
% 185.94/30.36  | | | | | 
% 185.94/30.36  | | | | | REDUCE: (36), (608) imply:
% 185.94/30.36  | | | | |   (610)   ~ (all_52_11 = e3)
% 185.94/30.36  | | | | | 
% 185.94/30.36  | | | | | REDUCE: (100), (608) imply:
% 185.94/30.36  | | | | |   (611)   ~ (all_52_14 = e3)
% 185.94/30.36  | | | | | 
% 185.94/30.36  | | | | | REDUCE: (4), (608) imply:
% 185.94/30.36  | | | | |   (612)  op(e0, e0) = e3
% 185.94/30.36  | | | | | 
% 185.94/30.36  | | | | | BETA: splitting (115) gives:
% 185.94/30.36  | | | | | 
% 185.94/30.36  | | | | | Case 1:
% 185.94/30.36  | | | | | | 
% 185.94/30.36  | | | | | |   (613)  all_56_15 = e0 & op(e0, e0) = e0
% 185.94/30.36  | | | | | | 
% 185.94/30.36  | | | | | | ALPHA: (613) implies:
% 185.94/30.36  | | | | | |   (614)  op(e0, e0) = e0
% 185.94/30.36  | | | | | | 
% 185.94/30.36  | | | | | | REF_CLOSE: (59), (158), (612), (614) are inconsistent by sub-proof
% 185.94/30.36  | | | | | |            #1540.
% 185.94/30.36  | | | | | | 
% 185.94/30.36  | | | | | Case 2:
% 185.94/30.36  | | | | | | 
% 185.94/30.36  | | | | | |   (615)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 185.94/30.36  | | | | | |              op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0))
% 185.94/30.36  | | | | | |          & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.94/30.36  | | | | | |              op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 185.94/30.36  | | | | | | 
% 185.94/30.36  | | | | | | ALPHA: (615) implies:
% 185.94/30.36  | | | | | |   (616)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.94/30.36  | | | | | |            op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.94/30.36  | | | | | | 
% 185.94/30.36  | | | | | | BETA: splitting (109) gives:
% 185.94/30.36  | | | | | | 
% 185.94/30.36  | | | | | | Case 1:
% 185.94/30.36  | | | | | | | 
% 185.94/30.36  | | | | | | |   (617)  all_54_14 = e3
% 185.94/30.36  | | | | | | | 
% 185.94/30.36  | | | | | | | REF_CLOSE: (118), (610), (617) are inconsistent by sub-proof
% 185.94/30.36  | | | | | | |            #1259.
% 185.94/30.36  | | | | | | | 
% 185.94/30.36  | | | | | | Case 2:
% 185.94/30.36  | | | | | | | 
% 185.94/30.37  | | | | | | |   (618)   ~ (all_54_14 = e3)
% 185.94/30.37  | | | | | | |   (619)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 185.94/30.37  | | | | | | | 
% 185.94/30.37  | | | | | | | BETA: splitting (619) gives:
% 185.94/30.37  | | | | | | | 
% 185.94/30.37  | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | 
% 185.94/30.37  | | | | | | | |   (620)  all_54_14 = e2
% 185.94/30.37  | | | | | | | | 
% 185.94/30.37  | | | | | | | | COMBINE_EQS: (118), (620) imply:
% 185.94/30.37  | | | | | | | |   (621)  all_52_11 = e2
% 185.94/30.37  | | | | | | | | 
% 185.94/30.37  | | | | | | | | REDUCE: (139), (621) imply:
% 185.94/30.37  | | | | | | | |   (622)  $false
% 185.94/30.37  | | | | | | | | 
% 185.94/30.37  | | | | | | | | CLOSE: (622) is inconsistent.
% 185.94/30.37  | | | | | | | | 
% 185.94/30.37  | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | 
% 185.94/30.37  | | | | | | | |   (623)   ~ (all_54_14 = e2)
% 185.94/30.37  | | | | | | | |   (624)  all_54_14 = e1 | all_54_14 = e0
% 185.94/30.37  | | | | | | | | 
% 185.94/30.37  | | | | | | | | BETA: splitting (624) gives:
% 185.94/30.37  | | | | | | | | 
% 185.94/30.37  | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | 
% 185.94/30.37  | | | | | | | | |   (625)  all_54_14 = e1
% 185.94/30.37  | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | COMBINE_EQS: (118), (625) imply:
% 185.94/30.37  | | | | | | | | |   (626)  all_52_11 = e1
% 185.94/30.37  | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | COMBINE_EQS: (125), (626) imply:
% 185.94/30.37  | | | | | | | | |   (627)  all_57_27 = e1
% 185.94/30.37  | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | REDUCE: (122), (626) imply:
% 185.94/30.37  | | | | | | | | |   (628)   ~ (all_52_7 = e1)
% 185.94/30.37  | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | REDUCE: (3), (626) imply:
% 185.94/30.37  | | | | | | | | |   (629)   ~ (all_52_8 = e1)
% 185.94/30.37  | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | REDUCE: (610), (626) imply:
% 185.94/30.37  | | | | | | | | |   (630)   ~ (e3 = e1)
% 185.94/30.37  | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | REDUCE: (139), (626) imply:
% 185.94/30.37  | | | | | | | | |   (631)   ~ (e2 = e1)
% 185.94/30.37  | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | BETA: splitting (13) gives:
% 185.94/30.37  | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | |   (632)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 185.94/30.37  | | | | | | | | | |            & op(e2, e2) = e3)
% 185.94/30.37  | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | REF_CLOSE: (8), (12), (18), (29), (38), (59), (69), (97),
% 185.94/30.37  | | | | | | | | | |            (119), (133), (156), (157), (158), (159), (632)
% 185.94/30.37  | | | | | | | | | |            are inconsistent by sub-proof #962.
% 185.94/30.37  | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | |   (633)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3
% 185.94/30.37  | | | | | | | | | |            & op(e0, e2) = e3)
% 185.94/30.37  | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | BETA: splitting (633) gives:
% 185.94/30.37  | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | |   (634)  all_56_7 = e3 & op(e1, e2) = e3
% 185.94/30.37  | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | ALPHA: (634) implies:
% 185.94/30.37  | | | | | | | | | | |   (635)  all_56_7 = e3
% 185.94/30.37  | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | BETA: splitting (66) gives:
% 185.94/30.37  | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | |   (636)  all_54_13 = e3
% 185.94/30.37  | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | REF_CLOSE: (39), (609), (636) are inconsistent by sub-proof
% 185.94/30.37  | | | | | | | | | | | |            #1302.
% 185.94/30.37  | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | |   (637)   ~ (all_54_13 = e3)
% 185.94/30.37  | | | | | | | | | | | |   (638)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.94/30.37  | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | BETA: splitting (638) gives:
% 185.94/30.37  | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | |   (639)  all_54_13 = e2
% 185.94/30.37  | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | REF_CLOSE: (39), (137), (639) are inconsistent by sub-proof
% 185.94/30.37  | | | | | | | | | | | | |            #1185.
% 185.94/30.37  | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | |   (640)   ~ (all_54_13 = e2)
% 185.94/30.37  | | | | | | | | | | | | |   (641)  all_54_13 = e1 | all_54_13 = e0
% 185.94/30.37  | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | BETA: splitting (15) gives:
% 185.94/30.37  | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | |   (642)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 185.94/30.37  | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 185.94/30.37  | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | BETA: splitting (642) gives:
% 185.94/30.37  | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | |   (643)  all_56_4 = e3 & op(e3, e1) = e3
% 185.94/30.37  | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | ALPHA: (643) implies:
% 185.94/30.37  | | | | | | | | | | | | | | |   (644)  all_56_4 = e3
% 185.94/30.37  | | | | | | | | | | | | | | |   (645)  op(e3, e1) = e3
% 185.94/30.37  | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (18), (29), (31), (32), (38), (48),
% 185.94/30.37  | | | | | | | | | | | | | | |            (59), (60), (69), (80), (84), (95), (97), (121),
% 185.94/30.37  | | | | | | | | | | | | | | |            (133), (156), (157), (158), (159), (644), (645)
% 185.94/30.37  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #968.
% 185.94/30.37  | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | |   (646)  all_56_5 = e3 & op(e2, e1) = e3
% 185.94/30.37  | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | ALPHA: (646) implies:
% 185.94/30.37  | | | | | | | | | | | | | | |   (647)  op(e2, e1) = e3
% 185.94/30.37  | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | |   (648)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 185.94/30.37  | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 185.94/30.37  | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | BETA: splitting (648) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | |   (649)  all_56_12 = e1 & op(e0, e3) = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (133), (649) are inconsistent by sub-proof
% 185.94/30.37  | | | | | | | | | | | | | | | | |            #1550.
% 185.94/30.37  | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | |   (650)  all_56_13 = e1 & op(e0, e2) = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | ALPHA: (650) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | |   (651)  all_56_13 = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18), (38), (42), (59), (69), (86), (95),
% 185.94/30.37  | | | | | | | | | | | | | | | | |            (133), (156), (157), (158), (159), (629), (635),
% 185.94/30.37  | | | | | | | | | | | | | | | | |            (651) are inconsistent by sub-proof #1385.
% 185.94/30.37  | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | End of split
% 185.94/30.37  | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | |   (652)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 185.94/30.37  | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 185.94/30.37  | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | BETA: splitting (652) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | |   (653)  all_56_14 = e1 & op(e0, e1) = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | ALPHA: (653) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | |   (654)  all_56_14 = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | BETA: splitting (641) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | |   (655)  all_54_13 = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (628), (655) are inconsistent by sub-proof
% 185.94/30.37  | | | | | | | | | | | | | | | | | |            #1313.
% 185.94/30.37  | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | |   (656)  all_54_13 = e0
% 185.94/30.37  | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (39), (656) imply:
% 185.94/30.37  | | | | | | | | | | | | | | | | | |   (657)  all_52_7 = e0
% 185.94/30.37  | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | SIMP: (657) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | | |   (658)  all_52_7 = e0
% 185.94/30.37  | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | REDUCE: (44), (658) imply:
% 185.94/30.37  | | | | | | | | | | | | | | | | | |   (659)   ~ (all_52_4 = e0)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | REDUCE: (609), (658) imply:
% 185.94/30.37  | | | | | | | | | | | | | | | | | |   (660)   ~ (e3 = e0)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | REDUCE: (137), (658) imply:
% 185.94/30.37  | | | | | | | | | | | | | | | | | |   (661)   ~ (e2 = e0)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | REDUCE: (628), (658) imply:
% 185.94/30.37  | | | | | | | | | | | | | | | | | |   (662)   ~ (e1 = e0)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | |   (663)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 185.94/30.37  | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (59), (97), (101), (659), (663) are
% 185.94/30.37  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1060.
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | |   (664)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 185.94/30.37  | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | BETA: splitting (664) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | |   (665)  all_56_4 = e0 & op(e3, e1) = e0
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | ALPHA: (665) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | |   (666)  op(e3, e1) = e0
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | |   (667)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e1)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (667) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | |   (668)  all_56_0 = e1 & op(e3, e3) = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (668) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | |   (669)  op(e3, e3) = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (157), (159), (669) are inconsistent by
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1600.
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | |   (670)  all_56_1 = e1 & op(e3, e2) = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (670) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | |   (671)  op(e3, e2) = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |   (672)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (672) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |   (673)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (673) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (674)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (674) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (675)  op(e3, e2) = e3
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (157), (671), (675) are inconsistent by
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1579.
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (676)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (676) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (677)  op(e3, e1) = e3
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (95), (158), (666), (677) are inconsistent
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1577.
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |   (678)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (678) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (679)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_17) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (24), (30), (37), (38), (41), (50), (59),
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (65), (67), (72), (94), (97), (100), (103), (110),
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            (119), (143), (145), (611), (679) are inconsistent
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #901.
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (680)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21) = all_57_7 & op(e2, all_57_29) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (680) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (681)  op(e3, e2) = e2
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (133), (671), (681) are inconsistent by
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1424.
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |   (682)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (682) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |   (683)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (112), (137), (156), (647), (683) are
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #900.
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |   (684)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (684) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (685)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (685) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (686)  op(e3, e1) = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (59), (666), (686) are inconsistent by
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1571.
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |   (687)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (687) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (688)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (688) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (689)  op(e2, e1) = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12), (15), (29), (38), (59), (95), (97),
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            (101), (110), (156), (157), (158), (654), (659),
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            (689) are inconsistent by sub-proof #897.
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (690)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0))))
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (690) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (691)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (627) imply:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | |   (692)  op(e0, e1) = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (691) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (693)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22) = all_57_8 & op(e1, all_57_23) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (693) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (694)   ~ (all_57_30 = e0)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (695)  op(e1, e0) = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (696)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e2) = e0)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (38), (59), (97), (119), (696) are
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1585.
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (697)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = all_57_24 & $i(all_57_24))
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (697) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (698)  all_57_30 = e0 & op(e1, e1) = e0
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (698) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (699)  op(e1, e1) = e0
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (59), (110), (699) are inconsistent by
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1230.
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (700)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24))
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (700) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (701)  all_57_31 = e0 & op(e0, e0) = e0
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (701) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (702)  op(e0, e0) = e0
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (158), (612), (702) are inconsistent by
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1540.
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (703)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_24)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (703) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (704)   ~ (all_57_24 = e1)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (705)  op(e1, e0) = all_57_24
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (695), (704), (705) are inconsistent by
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1423.
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (706)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25) = all_57_12 & op(e0, all_57_26) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |          & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_25 = e0 & op(e3, e0) = e0) |
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0))
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (706) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (707)   ~ (all_57_14 = e1)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (708)  op(e0, all_57_27) = all_57_14
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (627), (708) imply:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (709)  op(e0, e1) = all_57_14
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (692), (707), (709) are inconsistent by
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1177.
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | |   (710)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e1)
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (710) gives:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | |   (711)  all_56_4 = e1 & op(e3, e1) = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (711) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | |   (712)  op(e3, e1) = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (59), (666), (712) are inconsistent by
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1571.
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | |   (713)  all_56_9 = e1 & op(e3, e0) = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (713) implies:
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | |   (714)  all_56_9 = e1
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (133), (714) are inconsistent by sub-proof
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | |            #1503.
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.37  | | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.38  | | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.38  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.38  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | | | | | | |   (715)  all_56_9 = e0 & op(e3, e0) = e0
% 185.94/30.38  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | | | | | | | ALPHA: (715) implies:
% 185.94/30.38  | | | | | | | | | | | | | | | | | | | |   (716)  all_56_9 = e0
% 185.94/30.38  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (38), (716) are inconsistent by sub-proof
% 185.94/30.38  | | | | | | | | | | | | | | | | | | | |            #1570.
% 185.94/30.38  | | | | | | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.38  | | | | | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | | | | | End of split
% 185.94/30.38  | | | | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | | | | End of split
% 185.94/30.38  | | | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | | | Case 2:
% 185.94/30.38  | | | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | | | |   (717)  all_56_15 = e1 & op(e0, e0) = e1
% 185.94/30.38  | | | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | | | | ALPHA: (717) implies:
% 185.94/30.38  | | | | | | | | | | | | | | | | |   (718)  op(e0, e0) = e1
% 185.94/30.38  | | | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (59), (718) are inconsistent by
% 185.94/30.38  | | | | | | | | | | | | | | | | |            sub-proof #1516.
% 185.94/30.38  | | | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | | | End of split
% 185.94/30.38  | | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | | End of split
% 185.94/30.38  | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | End of split
% 185.94/30.38  | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | Case 2:
% 185.94/30.38  | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | |   (719)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 185.94/30.38  | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 185.94/30.38  | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | BETA: splitting (719) gives:
% 185.94/30.38  | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | Case 1:
% 185.94/30.38  | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | |   (720)  all_56_8 = e3 & op(e1, e1) = e3
% 185.94/30.38  | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | | ALPHA: (720) implies:
% 185.94/30.38  | | | | | | | | | | | | | | |   (721)  op(e1, e1) = e3
% 185.94/30.38  | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | | REF_CLOSE: (59), (110), (156), (721) are inconsistent by
% 185.94/30.38  | | | | | | | | | | | | | | |            sub-proof #1164.
% 185.94/30.38  | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | Case 2:
% 185.94/30.38  | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | |   (722)  all_56_14 = e3 & op(e0, e1) = e3
% 185.94/30.38  | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | | ALPHA: (722) implies:
% 185.94/30.38  | | | | | | | | | | | | | | |   (723)  all_56_14 = e3
% 185.94/30.38  | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | | REF_CLOSE: (4), (14), (18), (38), (59), (60), (85), (111),
% 185.94/30.38  | | | | | | | | | | | | | | |            (133), (147), (156), (157), (158), (616), (723)
% 185.94/30.38  | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1367.
% 185.94/30.38  | | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | | End of split
% 185.94/30.38  | | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | | End of split
% 185.94/30.38  | | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | | End of split
% 185.94/30.38  | | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | End of split
% 185.94/30.38  | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | Case 2:
% 185.94/30.38  | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | |   (724)  all_56_13 = e3 & op(e0, e2) = e3
% 185.94/30.38  | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | | REF_CLOSE: (39), (40), (44), (59), (66), (86), (101), (108),
% 185.94/30.38  | | | | | | | | | | |            (119), (137), (609), (628), (724) are inconsistent
% 185.94/30.38  | | | | | | | | | | |            by sub-proof #895.
% 185.94/30.38  | | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | | End of split
% 185.94/30.38  | | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | End of split
% 185.94/30.38  | | | | | | | | | 
% 185.94/30.38  | | | | | | | | Case 2:
% 185.94/30.38  | | | | | | | | | 
% 185.94/30.38  | | | | | | | | |   (725)  all_54_14 = e0
% 185.94/30.38  | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | COMBINE_EQS: (118), (725) imply:
% 185.94/30.38  | | | | | | | | |   (726)  all_52_11 = e0
% 185.94/30.38  | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | REDUCE: (132), (726) imply:
% 185.94/30.38  | | | | | | | | |   (727)  $false
% 185.94/30.38  | | | | | | | | | 
% 185.94/30.38  | | | | | | | | | CLOSE: (727) is inconsistent.
% 185.94/30.38  | | | | | | | | | 
% 185.94/30.38  | | | | | | | | End of split
% 185.94/30.38  | | | | | | | | 
% 185.94/30.38  | | | | | | | End of split
% 185.94/30.38  | | | | | | | 
% 185.94/30.38  | | | | | | End of split
% 185.94/30.38  | | | | | | 
% 185.94/30.38  | | | | | End of split
% 185.94/30.38  | | | | | 
% 185.94/30.38  | | | | End of split
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | Case 2:
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | |   (728)  all_56_1 = e3 & op(e3, e2) = e3
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | ALPHA: (728) implies:
% 185.94/30.38  | | | |   (729)  all_56_1 = e3
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | REF_CLOSE: (8), (12), (18), (29), (38), (59), (69), (97), (133), (157),
% 185.94/30.38  | | | |            (158), (159), (729) are inconsistent by sub-proof #963.
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | End of split
% 185.94/30.38  | | | 
% 185.94/30.38  | | Case 2:
% 185.94/30.38  | | | 
% 185.94/30.38  | | |   (730)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 185.94/30.38  | | |            e3)
% 185.94/30.38  | | | 
% 185.94/30.38  | | | BETA: splitting (730) gives:
% 185.94/30.38  | | | 
% 185.94/30.38  | | | Case 1:
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | |   (731)  all_56_4 = e3 & op(e3, e1) = e3
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | ALPHA: (731) implies:
% 185.94/30.38  | | | |   (732)  all_56_4 = e3
% 185.94/30.38  | | | |   (733)  op(e3, e1) = e3
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | REF_CLOSE: (8), (12), (18), (29), (31), (32), (38), (48), (59), (60),
% 185.94/30.38  | | | |            (69), (80), (84), (95), (97), (121), (133), (156), (157),
% 185.94/30.38  | | | |            (158), (159), (732), (733) are inconsistent by sub-proof
% 185.94/30.38  | | | |            #968.
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | Case 2:
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | |   (734)  all_56_9 = e3 & op(e3, e0) = e3
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | ALPHA: (734) implies:
% 185.94/30.38  | | | |   (735)  all_56_9 = e3
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | REF_CLOSE: (8), (156), (735) are inconsistent by sub-proof #1576.
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | End of split
% 185.94/30.38  | | | 
% 185.94/30.38  | | End of split
% 185.94/30.38  | | 
% 185.94/30.38  | Case 2:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (736)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 185.94/30.38  | | 
% 185.94/30.38  | | REF_CLOSE: (12), (25), (120), (149), (736) are inconsistent by sub-proof
% 185.94/30.38  | |            #1354.
% 185.94/30.38  | | 
% 185.94/30.38  | End of split
% 185.94/30.38  | 
% 185.94/30.38  End of proof
% 185.94/30.38  
% 185.94/30.38  Sub-proof #895 shows that the following formulas are inconsistent:
% 185.94/30.38  ----------------------------------------------------------------
% 185.94/30.38    (1)   ~ (all_52_7 = e3)
% 185.94/30.38    (2)  all_56_13 = e3 & op(e0, e2) = e3
% 185.94/30.38    (3)   ~ (all_52_7 = e1)
% 185.94/30.38    (4)  all_54_13 = all_52_7
% 185.94/30.38    (5)   ~ (all_52_6 = all_52_7)
% 185.94/30.38    (6)   ~ (all_52_4 = all_52_7)
% 185.94/30.38    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.38    (8)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.94/30.38    (9)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.94/30.38         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.94/30.38    (10)  op(e3, e2) = all_52_4
% 185.94/30.38    (11)  op(e1, e2) = all_52_6
% 185.94/30.38    (12)   ~ (all_52_7 = e2)
% 185.94/30.38    (13)  op(e2, e2) = e2
% 185.94/30.38  
% 185.94/30.38  Begin of proof
% 185.94/30.38  | 
% 185.94/30.38  | ALPHA: (2) implies:
% 185.94/30.38  |   (14)  all_56_13 = e3
% 185.94/30.38  | 
% 185.94/30.38  | BETA: splitting (8) gives:
% 185.94/30.38  | 
% 185.94/30.38  | Case 1:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (15)  all_54_13 = e3
% 185.94/30.38  | | 
% 185.94/30.38  | | REF_CLOSE: (1), (4), (15) are inconsistent by sub-proof #1302.
% 185.94/30.38  | | 
% 185.94/30.38  | Case 2:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (16)   ~ (all_54_13 = e3)
% 185.94/30.38  | |   (17)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 185.94/30.38  | | 
% 185.94/30.38  | | BETA: splitting (17) gives:
% 185.94/30.38  | | 
% 185.94/30.38  | | Case 1:
% 185.94/30.38  | | | 
% 185.94/30.38  | | |   (18)  all_54_13 = e2
% 185.94/30.38  | | | 
% 185.94/30.38  | | | REF_CLOSE: (4), (12), (18) are inconsistent by sub-proof #1185.
% 185.94/30.38  | | | 
% 185.94/30.38  | | Case 2:
% 185.94/30.38  | | | 
% 185.94/30.38  | | |   (19)   ~ (all_54_13 = e2)
% 185.94/30.38  | | |   (20)  all_54_13 = e1 | all_54_13 = e0
% 185.94/30.38  | | | 
% 185.94/30.38  | | | BETA: splitting (20) gives:
% 185.94/30.38  | | | 
% 185.94/30.38  | | | Case 1:
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | |   (21)  all_54_13 = e1
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | REF_CLOSE: (3), (4), (21) are inconsistent by sub-proof #1313.
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | Case 2:
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | |   (22)  all_54_13 = e0
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | COMBINE_EQS: (4), (22) imply:
% 185.94/30.38  | | | |   (23)  all_52_7 = e0
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | SIMP: (23) implies:
% 185.94/30.38  | | | |   (24)  all_52_7 = e0
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | REDUCE: (6), (24) imply:
% 185.94/30.38  | | | |   (25)   ~ (all_52_4 = e0)
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | REDUCE: (5), (24) imply:
% 185.94/30.38  | | | |   (26)   ~ (all_52_6 = e0)
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | REDUCE: (1), (24) imply:
% 185.94/30.38  | | | |   (27)   ~ (e3 = e0)
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | SIMP: (27) implies:
% 185.94/30.38  | | | |   (28)   ~ (e3 = e0)
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | REDUCE: (12), (24) imply:
% 185.94/30.38  | | | |   (29)   ~ (e2 = e0)
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | SIMP: (29) implies:
% 185.94/30.38  | | | |   (30)   ~ (e2 = e0)
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | REF_CLOSE: (7), (9), (10), (11), (13), (14), (25), (26), (28), (30) are
% 185.94/30.38  | | | |            inconsistent by sub-proof #896.
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | End of split
% 185.94/30.38  | | | 
% 185.94/30.38  | | End of split
% 185.94/30.38  | | 
% 185.94/30.38  | End of split
% 185.94/30.38  | 
% 185.94/30.38  End of proof
% 185.94/30.38  
% 185.94/30.38  Sub-proof #896 shows that the following formulas are inconsistent:
% 185.94/30.38  ----------------------------------------------------------------
% 185.94/30.38    (1)  all_56_13 = e3
% 185.94/30.38    (2)   ~ (e3 = e0)
% 185.94/30.38    (3)   ~ (all_52_6 = e0)
% 185.94/30.38    (4)   ~ (e2 = e0)
% 185.94/30.38    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.38    (6)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 185.94/30.38         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 185.94/30.38    (7)  op(e3, e2) = all_52_4
% 185.94/30.38    (8)  op(e1, e2) = all_52_6
% 185.94/30.38    (9)   ~ (all_52_4 = e0)
% 185.94/30.38    (10)  op(e2, e2) = e2
% 185.94/30.38  
% 185.94/30.38  Begin of proof
% 185.94/30.38  | 
% 185.94/30.38  | BETA: splitting (6) gives:
% 185.94/30.38  | 
% 185.94/30.38  | Case 1:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (11)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 185.94/30.38  | |           e0)
% 185.94/30.38  | | 
% 185.94/30.38  | | REF_CLOSE: (4), (5), (7), (9), (10), (11) are inconsistent by sub-proof
% 185.94/30.38  | |            #1465.
% 185.94/30.38  | | 
% 185.94/30.38  | Case 2:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (12)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 185.94/30.38  | |           e0)
% 185.94/30.38  | | 
% 185.94/30.38  | | BETA: splitting (12) gives:
% 185.94/30.38  | | 
% 185.94/30.38  | | Case 1:
% 185.94/30.38  | | | 
% 185.94/30.38  | | |   (13)  all_56_7 = e0 & op(e1, e2) = e0
% 185.94/30.38  | | | 
% 185.94/30.38  | | | REF_CLOSE: (3), (5), (8), (13) are inconsistent by sub-proof #1199.
% 185.94/30.38  | | | 
% 185.94/30.38  | | Case 2:
% 185.94/30.38  | | | 
% 185.94/30.38  | | |   (14)  all_56_13 = e0 & op(e0, e2) = e0
% 185.94/30.38  | | | 
% 185.94/30.38  | | | REF_CLOSE: (1), (2), (14) are inconsistent by sub-proof #1421.
% 185.94/30.38  | | | 
% 185.94/30.38  | | End of split
% 185.94/30.38  | | 
% 185.94/30.38  | End of split
% 185.94/30.38  | 
% 185.94/30.38  End of proof
% 185.94/30.38  
% 185.94/30.38  Sub-proof #897 shows that the following formulas are inconsistent:
% 185.94/30.38  ----------------------------------------------------------------
% 185.94/30.38    (1)  all_56_9 = e2
% 185.94/30.38    (2)   ~ (all_4_2 = e0)
% 185.94/30.38    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.94/30.38         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.94/30.38    (4)   ~ (e3 = e0)
% 185.94/30.38    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.94/30.38         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.94/30.38    (6)  op(e2, e1) = e1
% 185.94/30.38    (7)   ~ (e2 = e0)
% 185.94/30.38    (8)   ~ (e3 = e1)
% 185.94/30.38    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.38    (10)  all_56_14 = e1
% 185.94/30.38    (11)   ~ (e3 = e2)
% 185.94/30.38    (12)  op(e3, e1) = all_52_8
% 185.94/30.38    (13)  op(e3, e3) = all_4_2
% 185.94/30.38    (14)  op(e3, e2) = all_52_4
% 185.94/30.38    (15)   ~ (all_52_4 = e0)
% 185.94/30.38    (16)  op(e1, e1) = e2
% 185.94/30.38  
% 185.94/30.38  Begin of proof
% 185.94/30.38  | 
% 185.94/30.38  | BETA: splitting (3) gives:
% 185.94/30.38  | 
% 185.94/30.38  | Case 1:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (17)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 185.94/30.38  | |           e3)
% 185.94/30.38  | | 
% 185.94/30.38  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (12), (13), (14), (15),
% 185.94/30.38  | |            (17) are inconsistent by sub-proof #898.
% 185.94/30.38  | | 
% 185.94/30.38  | Case 2:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (18)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 185.94/30.38  | |           e3)
% 185.94/30.38  | | 
% 185.94/30.38  | | REF_CLOSE: (8), (9), (10), (11), (16), (18) are inconsistent by sub-proof
% 185.94/30.38  | |            #907.
% 185.94/30.38  | | 
% 185.94/30.38  | End of split
% 185.94/30.38  | 
% 185.94/30.38  End of proof
% 185.94/30.38  
% 185.94/30.38  Sub-proof #898 shows that the following formulas are inconsistent:
% 185.94/30.38  ----------------------------------------------------------------
% 185.94/30.38    (1)  all_56_9 = e2
% 185.94/30.38    (2)   ~ (all_4_2 = e0)
% 185.94/30.38    (3)   ~ (e3 = e0)
% 185.94/30.38    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.94/30.38         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.94/30.38    (5)  op(e2, e1) = e1
% 185.94/30.38    (6)   ~ (e2 = e0)
% 185.94/30.38    (7)   ~ (e3 = e1)
% 185.94/30.38    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.38    (9)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 185.94/30.38    (10)  op(e3, e1) = all_52_8
% 185.94/30.38    (11)  op(e3, e3) = all_4_2
% 185.94/30.38    (12)  op(e3, e2) = all_52_4
% 185.94/30.38    (13)   ~ (all_52_4 = e0)
% 185.94/30.38  
% 185.94/30.38  Begin of proof
% 185.94/30.38  | 
% 185.94/30.38  | BETA: splitting (9) gives:
% 185.94/30.38  | 
% 185.94/30.38  | Case 1:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (14)  all_56_4 = e3 & op(e3, e1) = e3
% 185.94/30.38  | | 
% 185.94/30.38  | | ALPHA: (14) implies:
% 185.94/30.38  | |   (15)  op(e3, e1) = e3
% 185.94/30.38  | | 
% 185.94/30.38  | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (10), (11), (12), (13), (15) are
% 185.94/30.38  | |            inconsistent by sub-proof #899.
% 185.94/30.38  | | 
% 185.94/30.38  | Case 2:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (16)  all_56_5 = e3 & op(e2, e1) = e3
% 185.94/30.38  | | 
% 185.94/30.38  | | ALPHA: (16) implies:
% 185.94/30.38  | |   (17)  op(e2, e1) = e3
% 185.94/30.38  | | 
% 185.94/30.38  | | REF_CLOSE: (5), (7), (8), (17) are inconsistent by sub-proof #1456.
% 185.94/30.38  | | 
% 185.94/30.38  | End of split
% 185.94/30.38  | 
% 185.94/30.38  End of proof
% 185.94/30.38  
% 185.94/30.38  Sub-proof #899 shows that the following formulas are inconsistent:
% 185.94/30.38  ----------------------------------------------------------------
% 185.94/30.38    (1)  all_56_9 = e2
% 185.94/30.38    (2)   ~ (all_4_2 = e0)
% 185.94/30.38    (3)  op(e3, e1) = e3
% 185.94/30.38    (4)   ~ (e3 = e0)
% 185.94/30.38    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 185.94/30.38         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 185.94/30.38    (6)   ~ (e2 = e0)
% 185.94/30.38    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.38    (8)  op(e3, e1) = all_52_8
% 185.94/30.38    (9)  op(e3, e3) = all_4_2
% 185.94/30.38    (10)  op(e3, e2) = all_52_4
% 185.94/30.38    (11)   ~ (all_52_4 = e0)
% 185.94/30.38  
% 185.94/30.38  Begin of proof
% 185.94/30.38  | 
% 185.94/30.38  | BETA: splitting (5) gives:
% 185.94/30.38  | 
% 185.94/30.38  | Case 1:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 185.94/30.38  | |           e0)
% 185.94/30.38  | | 
% 185.94/30.38  | | REF_CLOSE: (2), (7), (9), (10), (11), (12) are inconsistent by sub-proof
% 185.94/30.38  | |            #1060.
% 185.94/30.38  | | 
% 185.94/30.38  | Case 2:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (13)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 185.94/30.38  | |           e0)
% 185.94/30.38  | | 
% 185.94/30.38  | | BETA: splitting (13) gives:
% 185.94/30.38  | | 
% 185.94/30.38  | | Case 1:
% 185.94/30.38  | | | 
% 185.94/30.38  | | |   (14)  all_56_4 = e0 & op(e3, e1) = e0
% 185.94/30.38  | | | 
% 185.94/30.38  | | | ALPHA: (14) implies:
% 185.94/30.38  | | |   (15)  op(e3, e1) = e0
% 185.94/30.38  | | | 
% 185.94/30.38  | | | REF_CLOSE: (3), (4), (7), (8), (15) are inconsistent by sub-proof #1577.
% 185.94/30.38  | | | 
% 185.94/30.38  | | Case 2:
% 185.94/30.38  | | | 
% 185.94/30.38  | | |   (16)  all_56_9 = e0 & op(e3, e0) = e0
% 185.94/30.38  | | | 
% 185.94/30.38  | | | ALPHA: (16) implies:
% 185.94/30.38  | | |   (17)  all_56_9 = e0
% 185.94/30.38  | | | 
% 185.94/30.38  | | | REF_CLOSE: (1), (6), (17) are inconsistent by sub-proof #1570.
% 185.94/30.38  | | | 
% 185.94/30.38  | | End of split
% 185.94/30.38  | | 
% 185.94/30.38  | End of split
% 185.94/30.38  | 
% 185.94/30.38  End of proof
% 185.94/30.38  
% 185.94/30.38  Sub-proof #900 shows that the following formulas are inconsistent:
% 185.94/30.38  ----------------------------------------------------------------
% 185.94/30.38    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.38    (2)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 185.94/30.38             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 185.94/30.38           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 185.94/30.38             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 185.94/30.38           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 185.94/30.38           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 185.94/30.38           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 185.94/30.38           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 185.94/30.38           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 185.94/30.38           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 185.94/30.38             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 185.94/30.38           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 185.94/30.38           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 185.94/30.38    (3)   ~ (e3 = e2)
% 185.94/30.38    (4)   ~ (all_52_7 = e2)
% 185.94/30.38    (5)  op(e2, e1) = e3
% 185.94/30.38    (6)  op(e0, e2) = all_52_7
% 185.94/30.38  
% 185.94/30.38  Begin of proof
% 185.94/30.38  | 
% 185.94/30.38  | BETA: splitting (2) gives:
% 185.94/30.38  | 
% 185.94/30.38  | Case 1:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (7)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4
% 185.94/30.38  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 185.94/30.38  | |          e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 &
% 185.94/30.38  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 185.94/30.38  | |        all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 185.94/30.38  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 185.94/30.38  | |        $i(all_57_21) & $i(all_57_29)
% 185.94/30.38  | | 
% 185.94/30.38  | | ALPHA: (7) implies:
% 185.94/30.38  | |   (8)  op(e2, e1) = e2
% 185.94/30.38  | | 
% 185.94/30.38  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1297.
% 185.94/30.38  | | 
% 185.94/30.38  | Case 2:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (9)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4
% 185.94/30.38  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 =
% 185.94/30.38  | |          e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20) = all_57_6 &
% 185.94/30.38  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 185.94/30.38  | |        all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) =
% 185.94/30.38  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_19) &
% 185.94/30.38  | |        $i(all_57_20) & $i(all_57_29)
% 185.94/30.38  | | 
% 185.94/30.38  | | ALPHA: (9) implies:
% 185.94/30.38  | |   (10)  op(e0, e2) = e2
% 185.94/30.38  | | 
% 185.94/30.38  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1613.
% 185.94/30.38  | | 
% 185.94/30.38  | End of split
% 185.94/30.38  | 
% 185.94/30.38  End of proof
% 185.94/30.38  
% 185.94/30.38  Sub-proof #901 shows that the following formulas are inconsistent:
% 185.94/30.38  ----------------------------------------------------------------
% 185.94/30.38    (1)   ~ (all_4_2 = e0)
% 185.94/30.38    (2)   ~ (all_52_13 = all_52_14)
% 185.94/30.38    (3)   ~ (all_52_13 = all_6_2)
% 185.94/30.38    (4)  op(e3, e0) = all_52_12
% 185.94/30.38    (5)   ~ (e2 = e0)
% 185.94/30.38    (6)   ~ (all_52_12 = all_52_13)
% 185.94/30.38    (7)   ~ (all_52_14 = e2)
% 185.94/30.38    (8)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 185.94/30.38    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.38    (10)  all_54_7 = all_52_13
% 185.94/30.38    (11)  all_57_31 = all_6_2
% 185.94/30.38    (12)  all_54_11 = all_52_14
% 185.94/30.38    (13)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 185.94/30.38    (14)  op(e3, e3) = all_4_2
% 185.94/30.38    (15)   ~ (all_52_14 = all_6_2)
% 185.94/30.38    (16)   ~ (all_52_14 = e3)
% 185.94/30.38    (17)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 185.94/30.38          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 185.94/30.38            e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 & $i(all_57_18))
% 185.94/30.38    (18)   ~ (all_52_13 = e2)
% 185.94/30.38    (19)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 185.94/30.38            e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 185.94/30.38          op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 185.94/30.38            all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 185.94/30.38          all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 185.94/30.38          $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 185.94/30.38          $i(all_57_17) & $i(all_57_28)
% 185.94/30.38    (20)  op(e1, e1) = e2
% 185.94/30.38    (21)  op(e2, e2) = e2
% 185.94/30.38  
% 185.94/30.38  Begin of proof
% 185.94/30.38  | 
% 185.94/30.38  | ALPHA: (19) implies:
% 185.94/30.38  |   (22)  all_57_18 = e3
% 185.94/30.38  |   (23)  op(e3, e0) = e3
% 185.94/30.38  | 
% 185.94/30.38  | BETA: splitting (17) gives:
% 185.94/30.38  | 
% 185.94/30.38  | Case 1:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (24)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) =
% 185.94/30.38  | |           e0)
% 185.94/30.38  | | 
% 185.94/30.38  | | REF_CLOSE: (1), (5), (9), (14), (21), (24) are inconsistent by sub-proof
% 185.94/30.38  | |            #1585.
% 185.94/30.38  | | 
% 185.94/30.38  | Case 2:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (25)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 185.94/30.38  | |           e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 185.94/30.38  | |           $i(all_57_18))
% 185.94/30.38  | | 
% 185.94/30.38  | | BETA: splitting (25) gives:
% 185.94/30.38  | | 
% 185.94/30.38  | | Case 1:
% 185.94/30.38  | | | 
% 185.94/30.38  | | |   (26)  all_57_30 = e0 & op(e1, e1) = e0
% 185.94/30.38  | | | 
% 185.94/30.38  | | | ALPHA: (26) implies:
% 185.94/30.38  | | |   (27)  op(e1, e1) = e0
% 185.94/30.38  | | | 
% 185.94/30.38  | | | REF_CLOSE: (5), (9), (20), (27) are inconsistent by sub-proof #1230.
% 185.94/30.38  | | | 
% 185.94/30.38  | | Case 2:
% 185.94/30.38  | | | 
% 185.94/30.38  | | |   (28)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) & op(e3,
% 185.94/30.38  | | |             e0) = all_57_18 & $i(all_57_18))
% 185.94/30.38  | | | 
% 185.94/30.38  | | | BETA: splitting (28) gives:
% 185.94/30.38  | | | 
% 185.94/30.38  | | | Case 1:
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | |   (29)  all_57_31 = e0 & op(e0, e0) = e0
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | ALPHA: (29) implies:
% 185.94/30.38  | | | |   (30)  all_57_31 = e0
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | COMBINE_EQS: (11), (30) imply:
% 185.94/30.38  | | | |   (31)  all_6_2 = e0
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | REDUCE: (3), (31) imply:
% 185.94/30.38  | | | |   (32)   ~ (all_52_13 = e0)
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | REDUCE: (15), (31) imply:
% 185.94/30.38  | | | |   (33)   ~ (all_52_14 = e0)
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | BETA: splitting (8) gives:
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | Case 1:
% 185.94/30.38  | | | | | 
% 185.94/30.38  | | | | |   (34)  all_54_11 = e3
% 185.94/30.38  | | | | | 
% 185.94/30.38  | | | | | REF_CLOSE: (12), (16), (34) are inconsistent by sub-proof #1336.
% 185.94/30.38  | | | | | 
% 185.94/30.38  | | | | Case 2:
% 185.94/30.38  | | | | | 
% 185.94/30.38  | | | | |   (35)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 185.94/30.38  | | | | | 
% 185.94/30.38  | | | | | REF_CLOSE: (2), (4), (6), (7), (9), (10), (12), (13), (18), (23),
% 185.94/30.38  | | | | |            (32), (33), (35) are inconsistent by sub-proof #941.
% 185.94/30.38  | | | | | 
% 185.94/30.38  | | | | End of split
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | Case 2:
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | |   (36)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 & $i(all_57_18)
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | ALPHA: (36) implies:
% 185.94/30.38  | | | |   (37)   ~ (all_57_18 = e3)
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | REDUCE: (22), (37) imply:
% 185.94/30.38  | | | |   (38)  $false
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | | CLOSE: (38) is inconsistent.
% 185.94/30.38  | | | | 
% 185.94/30.38  | | | End of split
% 185.94/30.38  | | | 
% 185.94/30.38  | | End of split
% 185.94/30.38  | | 
% 185.94/30.38  | End of split
% 185.94/30.38  | 
% 185.94/30.38  End of proof
% 185.94/30.38  
% 185.94/30.38  Sub-proof #902 shows that the following formulas are inconsistent:
% 185.94/30.38  ----------------------------------------------------------------
% 185.94/30.38    (1)  op(e0, e1) = all_52_11
% 185.94/30.38    (2)  op(e0, e1) = e0
% 185.94/30.38    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.38    (4)  op(e0, e1) = all_57_27
% 185.94/30.38    (5)   ~ (all_52_11 = e0)
% 185.94/30.38  
% 185.94/30.38  Begin of proof
% 185.94/30.38  | 
% 185.94/30.38  | GROUND_INST: instantiating (3) with all_52_11, all_57_27, e1, e0, simplifying
% 185.94/30.38  |              with (1), (4) gives:
% 185.94/30.38  |   (6)  all_57_27 = all_52_11
% 185.94/30.38  | 
% 185.94/30.38  | GROUND_INST: instantiating (3) with e0, all_57_27, e1, e0, simplifying with
% 185.94/30.38  |              (2), (4) gives:
% 185.94/30.38  |   (7)  all_57_27 = e0
% 185.94/30.38  | 
% 185.94/30.38  | REF_CLOSE: (5), (6), (7) are inconsistent by sub-proof #903.
% 185.94/30.38  | 
% 185.94/30.38  End of proof
% 185.94/30.38  
% 185.94/30.38  Sub-proof #903 shows that the following formulas are inconsistent:
% 185.94/30.38  ----------------------------------------------------------------
% 185.94/30.38    (1)  all_57_27 = all_52_11
% 185.94/30.38    (2)  all_57_27 = e0
% 185.94/30.38    (3)   ~ (all_52_11 = e0)
% 185.94/30.38  
% 185.94/30.38  Begin of proof
% 185.94/30.38  | 
% 185.94/30.38  | COMBINE_EQS: (1), (2) imply:
% 185.94/30.38  |   (4)  all_52_11 = e0
% 185.94/30.38  | 
% 185.94/30.38  | SIMP: (4) implies:
% 185.94/30.38  |   (5)  all_52_11 = e0
% 185.94/30.38  | 
% 185.94/30.38  | REDUCE: (3), (5) imply:
% 185.94/30.38  |   (6)  $false
% 185.94/30.38  | 
% 185.94/30.38  | CLOSE: (6) is inconsistent.
% 185.94/30.38  | 
% 185.94/30.38  End of proof
% 185.94/30.38  
% 185.94/30.38  Sub-proof #904 shows that the following formulas are inconsistent:
% 185.94/30.38  ----------------------------------------------------------------
% 185.94/30.38    (1)  all_56_9 = e2
% 185.94/30.38    (2)   ~ (e1 = e0)
% 185.94/30.38    (3)   ~ (e3 = e0)
% 185.94/30.38    (4)   ~ (e2 = e0)
% 185.94/30.38    (5)   ~ (e3 = e1)
% 185.94/30.38    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.38    (7)  all_56_15 = e1
% 185.94/30.38    (8)  op(e2, e0) = all_52_13
% 185.94/30.38    (9)   ~ (e3 = e2)
% 185.94/30.38    (10)  all_56_10 = e1
% 185.94/30.38    (11)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 185.94/30.38          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 185.94/30.38    (12)   ~ (all_52_13 = e0)
% 185.94/30.38    (13)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 185.94/30.38              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 185.94/30.38                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 185.94/30.38                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 185.94/30.38  
% 185.94/30.38  Begin of proof
% 185.94/30.38  | 
% 185.94/30.38  | BETA: splitting (11) gives:
% 185.94/30.38  | 
% 185.94/30.38  | Case 1:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (14)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 185.94/30.38  | |           e3)
% 185.94/30.38  | | 
% 185.94/30.38  | | REF_CLOSE: (1), (5), (9), (10), (14) are inconsistent by sub-proof #1210.
% 185.94/30.38  | | 
% 185.94/30.38  | Case 2:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (15)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 185.94/30.38  | |           e3)
% 185.94/30.38  | | 
% 185.94/30.38  | | BETA: splitting (15) gives:
% 185.94/30.38  | | 
% 185.94/30.38  | | Case 1:
% 185.94/30.38  | | | 
% 185.94/30.38  | | |   (16)  all_56_11 = e3 & op(e1, e0) = e3
% 185.94/30.38  | | | 
% 185.94/30.38  | | | ALPHA: (16) implies:
% 185.94/30.38  | | |   (17)  all_56_11 = e3
% 185.94/30.38  | | | 
% 185.94/30.38  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (12), (13), (17) are
% 185.94/30.38  | | |            inconsistent by sub-proof #1201.
% 185.94/30.38  | | | 
% 185.94/30.38  | | Case 2:
% 185.94/30.38  | | | 
% 185.94/30.38  | | |   (18)  all_56_15 = e3 & op(e0, e0) = e3
% 185.94/30.38  | | | 
% 185.94/30.38  | | | ALPHA: (18) implies:
% 185.94/30.38  | | |   (19)  all_56_15 = e3
% 185.94/30.38  | | | 
% 185.94/30.38  | | | COMBINE_EQS: (7), (19) imply:
% 185.94/30.38  | | |   (20)  e3 = e1
% 185.94/30.38  | | | 
% 185.94/30.38  | | | REDUCE: (5), (20) imply:
% 185.94/30.38  | | |   (21)  $false
% 185.94/30.38  | | | 
% 185.94/30.38  | | | CLOSE: (21) is inconsistent.
% 185.94/30.38  | | | 
% 185.94/30.38  | | End of split
% 185.94/30.38  | | 
% 185.94/30.38  | End of split
% 185.94/30.38  | 
% 185.94/30.38  End of proof
% 185.94/30.38  
% 185.94/30.38  Sub-proof #905 shows that the following formulas are inconsistent:
% 185.94/30.38  ----------------------------------------------------------------
% 185.94/30.38    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.94/30.38         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.94/30.38    (2)  op(e1, e0) = all_52_14
% 185.94/30.38    (3)   ~ (e3 = e0)
% 185.94/30.38    (4)   ~ (all_52_14 = e1)
% 185.94/30.38    (5)   ~ (e3 = e1)
% 185.94/30.38    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.38           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.38    (7)  all_56_14 = e1
% 185.94/30.38    (8)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 =
% 185.94/30.38             e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2)
% 185.94/30.38           & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) =
% 185.94/30.38           all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 185.94/30.38           op(e1, e2) = e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 &
% 185.94/30.38           $i(all_57_8) & $i(all_57_10) & $i(all_57_11) & $i(all_57_22) &
% 185.94/30.38           $i(all_57_24) & $i(all_57_30)) | (op(e0, e1) = all_57_27 &
% 185.94/30.38           $i(all_57_27) & ((all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 =
% 185.94/30.38               e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 185.94/30.38               &  ~ (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1,
% 185.94/30.38                 all_57_23) = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.94/30.38                 e3) = all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 185.94/30.38               & op(e1, e0) = e1 & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 185.94/30.38               $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 =
% 185.94/30.38                 e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 =
% 185.94/30.38                 e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) =
% 185.94/30.38               all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 185.94/30.38               all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 &
% 185.94/30.38               op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 185.94/30.38               $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 185.94/30.38               $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 185.94/30.38                   & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 185.94/30.38                     e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) =
% 185.94/30.38                   e0)))))
% 185.94/30.38    (9)   ~ (e3 = e2)
% 185.94/30.38    (10)  all_56_4 = e0
% 185.94/30.38    (11)  op(e1, e1) = e2
% 185.94/30.38    (12)  all_57_31 = e0
% 185.94/30.38  
% 185.94/30.38  Begin of proof
% 185.94/30.38  | 
% 185.94/30.38  | BETA: splitting (8) gives:
% 185.94/30.38  | 
% 185.94/30.38  | Case 1:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (13)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 185.94/30.38  | |         (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 185.94/30.38  | |         (all_57_30 = e2) & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 185.94/30.38  | |         op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 185.94/30.38  | |         op(e1, e3) = all_57_22 & op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 185.94/30.38  | |         op(e1, e0) = all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 185.94/30.38  | |         $i(all_57_11) & $i(all_57_22) & $i(all_57_24) & $i(all_57_30)
% 185.94/30.38  | | 
% 185.94/30.38  | | ALPHA: (13) implies:
% 185.94/30.38  | |   (14)  op(e2, e1) = e1
% 185.94/30.38  | | 
% 185.94/30.38  | | REF_CLOSE: (1), (3), (5), (6), (7), (9), (10), (11), (14) are inconsistent
% 185.94/30.38  | |            by sub-proof #906.
% 185.94/30.38  | | 
% 185.94/30.38  | Case 2:
% 185.94/30.38  | | 
% 185.94/30.38  | |   (15)  op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 185.94/30.38  | |             all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 185.94/30.38  | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 185.94/30.38  | |             op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 185.94/30.38  | |             op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 185.94/30.38  | |               e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 185.94/30.38  | |             $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 185.94/30.38  | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 185.94/30.38  | |             (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 185.94/30.38  | |             op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 185.94/30.38  | |             op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 185.94/30.38  | |             op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 185.94/30.38  | |             all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 185.94/30.38  | |             $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 185.94/30.38  | |             (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0)
% 185.94/30.38  | |                 = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0)
% 185.94/30.38  | |               | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))))
% 185.94/30.38  | | 
% 185.94/30.38  | | ALPHA: (15) implies:
% 185.94/30.39  | |   (16)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 185.94/30.39  | |           (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 185.94/30.39  | |           (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1,
% 185.94/30.39  | |             all_57_23) = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 185.94/30.39  | |             e3) = all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1) =
% 185.94/30.39  | |           all_57_30 & op(e1, e0) = e1 & $i(all_57_8) & $i(all_57_9) &
% 185.94/30.39  | |           $i(all_57_10) & $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | (
% 185.94/30.39  | |           ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) & 
% 185.94/30.39  | |           ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0,
% 185.94/30.39  | |             all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 185.94/30.39  | |             all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 185.94/30.39  | |           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13)
% 185.94/30.39  | |           & $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 185.94/30.39  | |           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 185.94/30.39  | |               & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 185.94/30.39  | |                 e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) =
% 185.94/30.39  | |               e0)))
% 185.94/30.39  | | 
% 185.94/30.39  | | REF_CLOSE: (2), (4), (6), (12), (16) are inconsistent by sub-proof #1583.
% 185.94/30.39  | | 
% 185.94/30.39  | End of split
% 185.94/30.39  | 
% 185.94/30.39  End of proof
% 185.94/30.39  
% 185.94/30.39  Sub-proof #906 shows that the following formulas are inconsistent:
% 185.94/30.39  ----------------------------------------------------------------
% 185.94/30.39    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.94/30.39         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.94/30.39    (2)   ~ (e3 = e0)
% 185.94/30.39    (3)  op(e2, e1) = e1
% 185.94/30.39    (4)   ~ (e3 = e1)
% 185.94/30.39    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.39           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.39    (6)  all_56_14 = e1
% 185.94/30.39    (7)   ~ (e3 = e2)
% 185.94/30.39    (8)  all_56_4 = e0
% 185.94/30.39    (9)  op(e1, e1) = e2
% 185.94/30.39  
% 185.94/30.39  Begin of proof
% 185.94/30.39  | 
% 185.94/30.39  | BETA: splitting (1) gives:
% 185.94/30.39  | 
% 185.94/30.39  | Case 1:
% 185.94/30.39  | | 
% 185.94/30.39  | |   (10)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 185.94/30.39  | |           e3)
% 185.94/30.39  | | 
% 185.94/30.39  | | REF_CLOSE: (2), (3), (4), (5), (8), (10) are inconsistent by sub-proof #909.
% 185.94/30.39  | | 
% 185.94/30.39  | Case 2:
% 185.94/30.39  | | 
% 185.94/30.39  | |   (11)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 185.94/30.39  | |           e3)
% 185.94/30.39  | | 
% 185.94/30.39  | | REF_CLOSE: (4), (5), (6), (7), (9), (11) are inconsistent by sub-proof #907.
% 185.94/30.39  | | 
% 185.94/30.39  | End of split
% 185.94/30.39  | 
% 185.94/30.39  End of proof
% 185.94/30.39  
% 185.94/30.39  Sub-proof #907 shows that the following formulas are inconsistent:
% 185.94/30.39  ----------------------------------------------------------------
% 185.94/30.39    (1)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.94/30.39    (2)   ~ (e3 = e1)
% 185.94/30.39    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.39           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.39    (4)  all_56_14 = e1
% 185.94/30.39    (5)   ~ (e3 = e2)
% 185.94/30.39    (6)  op(e1, e1) = e2
% 185.94/30.39  
% 185.94/30.39  Begin of proof
% 185.94/30.39  | 
% 185.94/30.39  | BETA: splitting (1) gives:
% 185.94/30.39  | 
% 185.94/30.39  | Case 1:
% 185.94/30.39  | | 
% 185.94/30.39  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 185.94/30.39  | | 
% 185.94/30.39  | | ALPHA: (7) implies:
% 185.94/30.39  | |   (8)  op(e1, e1) = e3
% 185.94/30.39  | | 
% 185.94/30.39  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1164.
% 185.94/30.39  | | 
% 185.94/30.39  | Case 2:
% 185.94/30.39  | | 
% 185.94/30.39  | |   (9)  all_56_14 = e3 & op(e0, e1) = e3
% 185.94/30.39  | | 
% 185.94/30.39  | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #908.
% 185.94/30.39  | | 
% 185.94/30.39  | End of split
% 185.94/30.39  | 
% 185.94/30.39  End of proof
% 185.94/30.39  
% 185.94/30.39  Sub-proof #908 shows that the following formulas are inconsistent:
% 185.94/30.39  ----------------------------------------------------------------
% 185.94/30.39    (1)  all_56_14 = e3 & op(e0, e1) = e3
% 185.94/30.39    (2)  all_56_14 = e1
% 185.94/30.39    (3)   ~ (e3 = e1)
% 185.94/30.39  
% 185.94/30.39  Begin of proof
% 185.94/30.39  | 
% 185.94/30.39  | ALPHA: (1) implies:
% 185.94/30.39  |   (4)  all_56_14 = e3
% 185.94/30.39  | 
% 185.94/30.39  | COMBINE_EQS: (2), (4) imply:
% 185.94/30.39  |   (5)  e3 = e1
% 185.94/30.39  | 
% 185.94/30.39  | REDUCE: (3), (5) imply:
% 185.94/30.39  |   (6)  $false
% 185.94/30.39  | 
% 185.94/30.39  | CLOSE: (6) is inconsistent.
% 185.94/30.39  | 
% 185.94/30.39  End of proof
% 185.94/30.39  
% 185.94/30.39  Sub-proof #909 shows that the following formulas are inconsistent:
% 185.94/30.39  ----------------------------------------------------------------
% 185.94/30.39    (1)   ~ (e3 = e0)
% 185.94/30.39    (2)  op(e2, e1) = e1
% 185.94/30.39    (3)   ~ (e3 = e1)
% 185.94/30.39    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.39           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.39    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 185.94/30.39    (6)  all_56_4 = e0
% 185.94/30.39  
% 185.94/30.39  Begin of proof
% 185.94/30.39  | 
% 185.94/30.39  | BETA: splitting (5) gives:
% 185.94/30.39  | 
% 185.94/30.39  | Case 1:
% 185.94/30.39  | | 
% 185.94/30.39  | |   (7)  all_56_4 = e3 & op(e3, e1) = e3
% 185.94/30.39  | | 
% 185.94/30.39  | | REF_CLOSE: (1), (6), (7) are inconsistent by sub-proof #910.
% 185.94/30.39  | | 
% 185.94/30.39  | Case 2:
% 185.94/30.39  | | 
% 185.94/30.39  | |   (8)  all_56_5 = e3 & op(e2, e1) = e3
% 185.94/30.39  | | 
% 185.94/30.39  | | ALPHA: (8) implies:
% 185.94/30.39  | |   (9)  op(e2, e1) = e3
% 185.94/30.39  | | 
% 185.94/30.39  | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #1456.
% 185.94/30.39  | | 
% 185.94/30.39  | End of split
% 185.94/30.39  | 
% 185.94/30.39  End of proof
% 185.94/30.39  
% 185.94/30.39  Sub-proof #910 shows that the following formulas are inconsistent:
% 185.94/30.39  ----------------------------------------------------------------
% 185.94/30.39    (1)  all_56_4 = e3 & op(e3, e1) = e3
% 185.94/30.39    (2)  all_56_4 = e0
% 185.94/30.39    (3)   ~ (e3 = e0)
% 185.94/30.39  
% 185.94/30.39  Begin of proof
% 185.94/30.39  | 
% 185.94/30.39  | ALPHA: (1) implies:
% 185.94/30.39  |   (4)  all_56_4 = e3
% 185.94/30.39  | 
% 185.94/30.39  | COMBINE_EQS: (2), (4) imply:
% 185.94/30.39  |   (5)  e3 = e0
% 185.94/30.39  | 
% 185.94/30.39  | SIMP: (5) implies:
% 185.94/30.39  |   (6)  e3 = e0
% 185.94/30.39  | 
% 185.94/30.39  | REDUCE: (3), (6) imply:
% 185.94/30.39  |   (7)  $false
% 185.94/30.39  | 
% 185.94/30.39  | CLOSE: (7) is inconsistent.
% 185.94/30.39  | 
% 185.94/30.39  End of proof
% 185.94/30.39  
% 185.94/30.39  Sub-proof #911 shows that the following formulas are inconsistent:
% 185.94/30.39  ----------------------------------------------------------------
% 185.94/30.39    (1)  all_54_1 = all_52_4
% 185.94/30.39    (2)  all_54_1 = e0
% 185.94/30.39    (3)   ~ (all_52_4 = e0)
% 185.94/30.39  
% 185.94/30.39  Begin of proof
% 185.94/30.39  | 
% 185.94/30.39  | COMBINE_EQS: (1), (2) imply:
% 185.94/30.39  |   (4)  all_52_4 = e0
% 185.94/30.39  | 
% 185.94/30.39  | SIMP: (4) implies:
% 185.94/30.39  |   (5)  all_52_4 = e0
% 185.94/30.39  | 
% 185.94/30.39  | REDUCE: (3), (5) imply:
% 185.94/30.39  |   (6)  $false
% 185.94/30.39  | 
% 185.94/30.39  | CLOSE: (6) is inconsistent.
% 185.94/30.39  | 
% 185.94/30.39  End of proof
% 185.94/30.39  
% 185.94/30.39  Sub-proof #912 shows that the following formulas are inconsistent:
% 185.94/30.39  ----------------------------------------------------------------
% 185.94/30.39    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.94/30.39         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.94/30.39    (2)   ~ (e1 = e0)
% 185.94/30.39    (3)   ~ (all_52_9 = e0)
% 185.94/30.39    (4)   ~ (e3 = e0)
% 185.94/30.39    (5)  op(e2, e1) = all_52_9
% 185.94/30.39    (6)   ~ (e2 = e0)
% 185.94/30.39    (7)   ~ (e3 = e1)
% 185.94/30.39    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.39           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.39    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.94/30.39         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.94/30.39    (10)  all_56_14 = e1
% 185.94/30.39    (11)  all_56_5 = e2
% 185.94/30.39    (12)   ~ (e3 = e2)
% 185.94/30.39    (13)  op(e1, e1) = e2
% 185.94/30.39    (14)   ~ (e2 = e1)
% 185.94/30.39    (15)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.94/30.39          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.94/30.39  
% 185.94/30.39  Begin of proof
% 185.94/30.39  | 
% 185.94/30.39  | BETA: splitting (9) gives:
% 185.94/30.39  | 
% 185.94/30.39  | Case 1:
% 185.94/30.39  | | 
% 185.94/30.39  | |   (16)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 185.94/30.39  | |           e0)
% 185.94/30.39  | | 
% 185.94/30.39  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (11), (12), (13), (14), (15),
% 185.94/30.39  | |            (16) are inconsistent by sub-proof #914.
% 185.94/30.39  | | 
% 185.94/30.39  | Case 2:
% 185.94/30.39  | | 
% 185.94/30.39  | |   (17)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.94/30.39  | |           e0)
% 185.94/30.39  | | 
% 185.94/30.39  | | BETA: splitting (17) gives:
% 185.94/30.39  | | 
% 185.94/30.39  | | Case 1:
% 185.94/30.39  | | | 
% 185.94/30.39  | | |   (18)  all_56_8 = e0 & op(e1, e1) = e0
% 185.94/30.39  | | | 
% 185.94/30.39  | | | ALPHA: (18) implies:
% 185.94/30.39  | | |   (19)  op(e1, e1) = e0
% 185.94/30.39  | | | 
% 185.94/30.39  | | | REF_CLOSE: (6), (8), (13), (19) are inconsistent by sub-proof #1230.
% 185.94/30.39  | | | 
% 185.94/30.39  | | Case 2:
% 185.94/30.39  | | | 
% 185.94/30.39  | | |   (20)  all_56_14 = e0 & op(e0, e1) = e0
% 185.94/30.39  | | | 
% 185.94/30.39  | | | ALPHA: (20) implies:
% 185.94/30.39  | | |   (21)  all_56_14 = e0
% 185.94/30.39  | | | 
% 185.94/30.39  | | | REF_CLOSE: (2), (10), (21) are inconsistent by sub-proof #913.
% 185.94/30.39  | | | 
% 185.94/30.39  | | End of split
% 185.94/30.39  | | 
% 185.94/30.39  | End of split
% 185.94/30.39  | 
% 185.94/30.39  End of proof
% 185.94/30.39  
% 185.94/30.39  Sub-proof #913 shows that the following formulas are inconsistent:
% 185.94/30.39  ----------------------------------------------------------------
% 185.94/30.39    (1)  all_56_14 = e1
% 185.94/30.39    (2)  all_56_14 = e0
% 185.94/30.39    (3)   ~ (e1 = e0)
% 185.94/30.39  
% 185.94/30.39  Begin of proof
% 185.94/30.39  | 
% 185.94/30.39  | COMBINE_EQS: (1), (2) imply:
% 185.94/30.39  |   (4)  e1 = e0
% 185.94/30.39  | 
% 185.94/30.39  | SIMP: (4) implies:
% 185.94/30.39  |   (5)  e1 = e0
% 185.94/30.39  | 
% 185.94/30.39  | REDUCE: (3), (5) imply:
% 185.94/30.39  |   (6)  $false
% 185.94/30.39  | 
% 185.94/30.39  | CLOSE: (6) is inconsistent.
% 185.94/30.39  | 
% 185.94/30.39  End of proof
% 185.94/30.39  
% 185.94/30.39  Sub-proof #914 shows that the following formulas are inconsistent:
% 185.94/30.39  ----------------------------------------------------------------
% 185.94/30.39    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 185.94/30.39         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 185.94/30.39    (2)   ~ (e1 = e0)
% 185.94/30.39    (3)   ~ (all_52_9 = e0)
% 185.94/30.39    (4)   ~ (e3 = e0)
% 185.94/30.39    (5)  op(e2, e1) = all_52_9
% 185.94/30.39    (6)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0)
% 185.94/30.39    (7)   ~ (e3 = e1)
% 185.94/30.39    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.39           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.39    (9)  all_56_5 = e2
% 185.94/30.39    (10)   ~ (e3 = e2)
% 185.94/30.39    (11)  op(e1, e1) = e2
% 185.94/30.39    (12)   ~ (e2 = e1)
% 185.94/30.39    (13)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 185.94/30.39          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 185.94/30.39  
% 185.94/30.39  Begin of proof
% 185.94/30.39  | 
% 185.94/30.39  | BETA: splitting (6) gives:
% 185.94/30.39  | 
% 185.94/30.39  | Case 1:
% 185.94/30.39  | | 
% 185.94/30.39  | |   (14)  all_56_4 = e0 & op(e3, e1) = e0
% 185.94/30.39  | | 
% 185.94/30.39  | | ALPHA: (14) implies:
% 185.94/30.39  | |   (15)  all_56_4 = e0
% 185.94/30.39  | | 
% 185.94/30.39  | | REF_CLOSE: (1), (2), (4), (7), (8), (9), (10), (11), (12), (13), (15) are
% 185.94/30.39  | |            inconsistent by sub-proof #932.
% 185.94/30.39  | | 
% 185.94/30.39  | Case 2:
% 185.94/30.39  | | 
% 185.94/30.39  | |   (16)  all_56_5 = e0 & op(e2, e1) = e0
% 185.94/30.39  | | 
% 185.94/30.39  | | REF_CLOSE: (3), (5), (8), (16) are inconsistent by sub-proof #1476.
% 185.94/30.39  | | 
% 185.94/30.39  | End of split
% 185.94/30.39  | 
% 185.94/30.39  End of proof
% 185.94/30.39  
% 185.94/30.39  Sub-proof #915 shows that the following formulas are inconsistent:
% 185.94/30.39  ----------------------------------------------------------------
% 185.94/30.39    (1)   ~ (e1 = e0)
% 185.94/30.39    (2)   ~ (all_52_9 = e0)
% 185.94/30.39    (3)  op(e3, e1) = e3
% 185.94/30.39    (4)   ~ (e3 = e0)
% 185.94/30.39    (5)  op(e2, e1) = all_52_9
% 185.94/30.39    (6)   ~ (e2 = e0)
% 185.94/30.39    (7)  op(e0, e1) = e1
% 185.94/30.39    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 185.94/30.39           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 185.94/30.39    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 185.94/30.39         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 185.94/30.39    (10)  op(e3, e1) = all_52_8
% 185.94/30.39    (11)  op(e1, e1) = e2
% 185.94/30.39  
% 185.94/30.39  Begin of proof
% 185.94/30.39  | 
% 185.94/30.39  | BETA: splitting (9) gives:
% 185.94/30.39  | 
% 185.94/30.39  | Case 1:
% 185.94/30.39  | | 
% 185.94/30.39  | |   (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 185.94/30.39  | |           e0)
% 185.94/30.39  | | 
% 185.94/30.39  | | REF_CLOSE: (2), (3), (4), (5), (8), (10), (12) are inconsistent by sub-proof
% 185.94/30.39  | |            #917.
% 185.94/30.39  | | 
% 185.94/30.39  | Case 2:
% 185.94/30.39  | | 
% 185.94/30.39  | |   (13)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 185.94/30.39  | |           e0)
% 185.94/30.39  | | 
% 185.94/30.39  | | REF_CLOSE: (1), (6), (7), (8), (11), (13) are inconsistent by sub-proof
% 185.94/30.39  | |            #916.
% 186.03/30.39  | | 
% 186.03/30.39  | End of split
% 186.03/30.39  | 
% 186.03/30.39  End of proof
% 186.03/30.39  
% 186.03/30.39  Sub-proof #916 shows that the following formulas are inconsistent:
% 186.03/30.39  ----------------------------------------------------------------
% 186.03/30.39    (1)   ~ (e1 = e0)
% 186.03/30.39    (2)   ~ (e2 = e0)
% 186.03/30.39    (3)  op(e0, e1) = e1
% 186.03/30.39    (4)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.03/30.39    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.39           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.39    (6)  op(e1, e1) = e2
% 186.03/30.39  
% 186.03/30.39  Begin of proof
% 186.03/30.39  | 
% 186.03/30.39  | BETA: splitting (4) gives:
% 186.03/30.39  | 
% 186.03/30.39  | Case 1:
% 186.03/30.39  | | 
% 186.03/30.39  | |   (7)  all_56_8 = e0 & op(e1, e1) = e0
% 186.03/30.39  | | 
% 186.03/30.39  | | ALPHA: (7) implies:
% 186.03/30.39  | |   (8)  op(e1, e1) = e0
% 186.03/30.39  | | 
% 186.03/30.39  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1230.
% 186.03/30.39  | | 
% 186.03/30.39  | Case 2:
% 186.03/30.39  | | 
% 186.03/30.39  | |   (9)  all_56_14 = e0 & op(e0, e1) = e0
% 186.03/30.39  | | 
% 186.03/30.39  | | ALPHA: (9) implies:
% 186.03/30.39  | |   (10)  op(e0, e1) = e0
% 186.03/30.39  | | 
% 186.03/30.39  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1171.
% 186.03/30.39  | | 
% 186.03/30.39  | End of split
% 186.03/30.39  | 
% 186.03/30.39  End of proof
% 186.03/30.39  
% 186.03/30.39  Sub-proof #917 shows that the following formulas are inconsistent:
% 186.03/30.39  ----------------------------------------------------------------
% 186.03/30.39    (1)   ~ (all_52_9 = e0)
% 186.03/30.39    (2)  op(e3, e1) = e3
% 186.03/30.39    (3)   ~ (e3 = e0)
% 186.03/30.39    (4)  op(e2, e1) = all_52_9
% 186.03/30.39    (5)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0)
% 186.03/30.39    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.39           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.39    (7)  op(e3, e1) = all_52_8
% 186.03/30.39  
% 186.03/30.39  Begin of proof
% 186.03/30.39  | 
% 186.03/30.39  | BETA: splitting (5) gives:
% 186.03/30.39  | 
% 186.03/30.39  | Case 1:
% 186.03/30.39  | | 
% 186.03/30.39  | |   (8)  all_56_4 = e0 & op(e3, e1) = e0
% 186.03/30.39  | | 
% 186.03/30.39  | | ALPHA: (8) implies:
% 186.03/30.39  | |   (9)  op(e3, e1) = e0
% 186.03/30.39  | | 
% 186.03/30.39  | | REF_CLOSE: (2), (3), (6), (7), (9) are inconsistent by sub-proof #1577.
% 186.03/30.39  | | 
% 186.03/30.39  | Case 2:
% 186.03/30.39  | | 
% 186.03/30.39  | |   (10)  all_56_5 = e0 & op(e2, e1) = e0
% 186.03/30.39  | | 
% 186.03/30.39  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1476.
% 186.03/30.39  | | 
% 186.03/30.39  | End of split
% 186.03/30.39  | 
% 186.03/30.39  End of proof
% 186.03/30.39  
% 186.03/30.39  Sub-proof #918 shows that the following formulas are inconsistent:
% 186.03/30.39  ----------------------------------------------------------------
% 186.03/30.39    (1)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.39    (2)   ~ (all_52_14 = e0)
% 186.03/30.39    (3)  op(e1, e0) = all_52_14
% 186.03/30.39    (4)   ~ (e2 = e0)
% 186.03/30.39    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.39           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.39    (6)  op(e1, e1) = e2
% 186.03/30.39  
% 186.03/30.39  Begin of proof
% 186.03/30.39  | 
% 186.03/30.39  | BETA: splitting (1) gives:
% 186.03/30.39  | 
% 186.03/30.39  | Case 1:
% 186.03/30.39  | | 
% 186.03/30.39  | |   (7)  all_56_8 = e0 & op(e1, e1) = e0
% 186.03/30.39  | | 
% 186.03/30.39  | | ALPHA: (7) implies:
% 186.03/30.39  | |   (8)  op(e1, e1) = e0
% 186.03/30.39  | | 
% 186.03/30.39  | | REF_CLOSE: (4), (5), (6), (8) are inconsistent by sub-proof #1230.
% 186.03/30.39  | | 
% 186.03/30.39  | Case 2:
% 186.03/30.39  | | 
% 186.03/30.39  | |   (9)  all_56_11 = e0 & op(e1, e0) = e0
% 186.03/30.39  | | 
% 186.03/30.39  | | ALPHA: (9) implies:
% 186.03/30.39  | |   (10)  op(e1, e0) = e0
% 186.03/30.39  | | 
% 186.03/30.39  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1318.
% 186.03/30.39  | | 
% 186.03/30.39  | End of split
% 186.03/30.39  | 
% 186.03/30.39  End of proof
% 186.03/30.39  
% 186.03/30.39  Sub-proof #919 shows that the following formulas are inconsistent:
% 186.03/30.39  ----------------------------------------------------------------
% 186.03/30.39    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 186.03/30.39         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 186.03/30.39    (2)  all_56_10 = e3
% 186.03/30.39    (3)   ~ (e1 = e0)
% 186.03/30.39    (4)   ~ (e3 = e0)
% 186.03/30.39    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.03/30.39         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.39    (6)   ~ (all_52_6 = e0)
% 186.03/30.39    (7)   ~ (e2 = e0)
% 186.03/30.39    (8)   ~ (e3 = e1)
% 186.03/30.39    (9)  all_56_15 = e0
% 186.03/30.39    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.39            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.39    (11)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 186.03/30.39          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.03/30.39    (12)   ~ (e3 = e2)
% 186.03/30.39    (13)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 186.03/30.39          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.03/30.39    (14)  op(e1, e2) = all_52_6
% 186.03/30.39    (15)  all_56_9 = e1
% 186.03/30.39    (16)  op(e1, e1) = e2
% 186.03/30.39    (17)   ~ (e2 = e1)
% 186.03/30.39  
% 186.03/30.39  Begin of proof
% 186.03/30.39  | 
% 186.03/30.39  | BETA: splitting (11) gives:
% 186.03/30.39  | 
% 186.03/30.39  | Case 1:
% 186.03/30.39  | | 
% 186.03/30.39  | |   (18)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 186.03/30.39  | |           e2)
% 186.03/30.39  | | 
% 186.03/30.39  | | REF_CLOSE: (2), (12), (15), (17), (18) are inconsistent by sub-proof #957.
% 186.03/30.39  | | 
% 186.03/30.39  | Case 2:
% 186.03/30.39  | | 
% 186.03/30.39  | |   (19)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.39  | |           e2)
% 186.03/30.39  | | 
% 186.03/30.39  | | BETA: splitting (19) gives:
% 186.03/30.39  | | 
% 186.03/30.39  | | Case 1:
% 186.03/30.39  | | | 
% 186.03/30.39  | | |   (20)  all_56_11 = e2 & op(e1, e0) = e2
% 186.03/30.39  | | | 
% 186.03/30.39  | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (10), (12), (13), (14),
% 186.03/30.39  | | |            (16), (17), (20) are inconsistent by sub-proof #921.
% 186.03/30.39  | | | 
% 186.03/30.39  | | Case 2:
% 186.03/30.39  | | | 
% 186.03/30.39  | | |   (21)  all_56_15 = e2 & op(e0, e0) = e2
% 186.03/30.39  | | | 
% 186.03/30.39  | | | ALPHA: (21) implies:
% 186.03/30.39  | | |   (22)  all_56_15 = e2
% 186.03/30.39  | | | 
% 186.03/30.39  | | | REF_CLOSE: (7), (9), (22) are inconsistent by sub-proof #920.
% 186.03/30.39  | | | 
% 186.03/30.39  | | End of split
% 186.03/30.39  | | 
% 186.03/30.39  | End of split
% 186.03/30.39  | 
% 186.03/30.39  End of proof
% 186.03/30.39  
% 186.03/30.39  Sub-proof #920 shows that the following formulas are inconsistent:
% 186.03/30.39  ----------------------------------------------------------------
% 186.03/30.39    (1)  all_56_15 = e2
% 186.03/30.39    (2)  all_56_15 = e0
% 186.03/30.39    (3)   ~ (e2 = e0)
% 186.03/30.39  
% 186.03/30.39  Begin of proof
% 186.03/30.39  | 
% 186.03/30.39  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.39  |   (4)  e2 = e0
% 186.03/30.39  | 
% 186.03/30.39  | SIMP: (4) implies:
% 186.03/30.39  |   (5)  e2 = e0
% 186.03/30.39  | 
% 186.03/30.39  | REDUCE: (3), (5) imply:
% 186.03/30.39  |   (6)  $false
% 186.03/30.39  | 
% 186.03/30.39  | CLOSE: (6) is inconsistent.
% 186.03/30.39  | 
% 186.03/30.39  End of proof
% 186.03/30.39  
% 186.03/30.39  Sub-proof #921 shows that the following formulas are inconsistent:
% 186.03/30.39  ----------------------------------------------------------------
% 186.03/30.39    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 186.03/30.39         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 186.03/30.39    (2)   ~ (e1 = e0)
% 186.03/30.39    (3)   ~ (e3 = e0)
% 186.03/30.39    (4)  all_56_11 = e2 & op(e1, e0) = e2
% 186.03/30.39    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.03/30.39         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.39    (6)   ~ (all_52_6 = e0)
% 186.03/30.39    (7)   ~ (e2 = e0)
% 186.03/30.39    (8)   ~ (e3 = e1)
% 186.03/30.39    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.39           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.39    (10)   ~ (e3 = e2)
% 186.03/30.39    (11)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 186.03/30.39          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.03/30.39    (12)  op(e1, e2) = all_52_6
% 186.03/30.39    (13)  op(e1, e1) = e2
% 186.03/30.39    (14)   ~ (e2 = e1)
% 186.03/30.39  
% 186.03/30.39  Begin of proof
% 186.03/30.39  | 
% 186.03/30.39  | ALPHA: (4) implies:
% 186.03/30.39  |   (15)  all_56_11 = e2
% 186.03/30.39  | 
% 186.03/30.39  | BETA: splitting (5) gives:
% 186.03/30.39  | 
% 186.03/30.39  | Case 1:
% 186.03/30.39  | | 
% 186.03/30.39  | |   (16)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 186.03/30.39  | |           e0)
% 186.03/30.39  | | 
% 186.03/30.39  | | BETA: splitting (16) gives:
% 186.03/30.39  | | 
% 186.03/30.39  | | Case 1:
% 186.03/30.39  | | | 
% 186.03/30.39  | | |   (17)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.39  | | | 
% 186.03/30.39  | | | ALPHA: (17) implies:
% 186.03/30.39  | | |   (18)  all_56_6 = e0
% 186.03/30.39  | | | 
% 186.03/30.39  | | | REF_CLOSE: (1), (2), (3), (8), (9), (10), (11), (13), (14), (15), (18) are
% 186.03/30.39  | | |            inconsistent by sub-proof #922.
% 186.03/30.39  | | | 
% 186.03/30.39  | | Case 2:
% 186.03/30.39  | | | 
% 186.03/30.39  | | |   (19)  all_56_7 = e0 & op(e1, e2) = e0
% 186.03/30.39  | | | 
% 186.03/30.39  | | | REF_CLOSE: (6), (9), (12), (19) are inconsistent by sub-proof #1199.
% 186.03/30.39  | | | 
% 186.03/30.39  | | End of split
% 186.03/30.39  | | 
% 186.03/30.39  | Case 2:
% 186.03/30.39  | | 
% 186.03/30.39  | |   (20)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 186.03/30.39  | |           e0)
% 186.03/30.39  | | 
% 186.03/30.39  | | BETA: splitting (20) gives:
% 186.03/30.39  | | 
% 186.03/30.39  | | Case 1:
% 186.03/30.39  | | | 
% 186.03/30.39  | | |   (21)  all_56_8 = e0 & op(e1, e1) = e0
% 186.03/30.39  | | | 
% 186.03/30.39  | | | ALPHA: (21) implies:
% 186.03/30.39  | | |   (22)  op(e1, e1) = e0
% 186.03/30.39  | | | 
% 186.03/30.39  | | | REF_CLOSE: (7), (9), (13), (22) are inconsistent by sub-proof #1230.
% 186.03/30.39  | | | 
% 186.03/30.39  | | Case 2:
% 186.03/30.39  | | | 
% 186.03/30.39  | | |   (23)  all_56_11 = e0 & op(e1, e0) = e0
% 186.03/30.39  | | | 
% 186.03/30.39  | | | ALPHA: (23) implies:
% 186.03/30.39  | | |   (24)  all_56_11 = e0
% 186.03/30.39  | | | 
% 186.03/30.39  | | | REF_CLOSE: (7), (15), (24) are inconsistent by sub-proof #1500.
% 186.03/30.39  | | | 
% 186.03/30.39  | | End of split
% 186.03/30.39  | | 
% 186.03/30.39  | End of split
% 186.03/30.39  | 
% 186.03/30.39  End of proof
% 186.03/30.39  
% 186.03/30.39  Sub-proof #922 shows that the following formulas are inconsistent:
% 186.03/30.39  ----------------------------------------------------------------
% 186.03/30.39    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 186.03/30.39         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 186.03/30.39    (2)  all_56_6 = e0
% 186.03/30.39    (3)   ~ (e1 = e0)
% 186.03/30.39    (4)   ~ (e3 = e0)
% 186.03/30.39    (5)   ~ (e3 = e1)
% 186.03/30.39    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.39           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.39    (7)  all_56_11 = e2
% 186.03/30.39    (8)   ~ (e3 = e2)
% 186.03/30.39    (9)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 186.03/30.39         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.03/30.39    (10)  op(e1, e1) = e2
% 186.03/30.39    (11)   ~ (e2 = e1)
% 186.03/30.39  
% 186.03/30.39  Begin of proof
% 186.03/30.39  | 
% 186.03/30.39  | BETA: splitting (9) gives:
% 186.03/30.39  | 
% 186.03/30.39  | Case 1:
% 186.03/30.39  | | 
% 186.03/30.39  | |   (12)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 186.03/30.39  | |           e3)
% 186.03/30.39  | | 
% 186.03/30.39  | | BETA: splitting (12) gives:
% 186.03/30.39  | | 
% 186.03/30.39  | | Case 1:
% 186.03/30.39  | | | 
% 186.03/30.39  | | |   (13)  all_56_6 = e3 & op(e1, e3) = e3
% 186.03/30.39  | | | 
% 186.03/30.39  | | | REF_CLOSE: (2), (4), (13) are inconsistent by sub-proof #1530.
% 186.03/30.39  | | | 
% 186.03/30.39  | | Case 2:
% 186.03/30.39  | | | 
% 186.03/30.39  | | |   (14)  all_56_7 = e3 & op(e1, e2) = e3
% 186.03/30.39  | | | 
% 186.03/30.39  | | | ALPHA: (14) implies:
% 186.03/30.39  | | |   (15)  all_56_7 = e3
% 186.03/30.39  | | | 
% 186.03/30.39  | | | BETA: splitting (1) gives:
% 186.03/30.39  | | | 
% 186.03/30.39  | | | Case 1:
% 186.03/30.39  | | | | 
% 186.03/30.39  | | | |   (16)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2)
% 186.03/30.39  | | | |           = e1)
% 186.03/30.39  | | | | 
% 186.03/30.39  | | | | BETA: splitting (16) gives:
% 186.03/30.39  | | | | 
% 186.03/30.39  | | | | Case 1:
% 186.03/30.39  | | | | | 
% 186.03/30.39  | | | | |   (17)  all_56_6 = e1 & op(e1, e3) = e1
% 186.03/30.39  | | | | | 
% 186.03/30.39  | | | | | REF_CLOSE: (2), (3), (17) are inconsistent by sub-proof #1522.
% 186.03/30.39  | | | | | 
% 186.03/30.39  | | | | Case 2:
% 186.03/30.39  | | | | | 
% 186.03/30.39  | | | | |   (18)  all_56_7 = e1 & op(e1, e2) = e1
% 186.03/30.39  | | | | | 
% 186.03/30.39  | | | | | REF_CLOSE: (5), (15), (18) are inconsistent by sub-proof #1069.
% 186.03/30.39  | | | | | 
% 186.03/30.39  | | | | End of split
% 186.03/30.39  | | | | 
% 186.03/30.39  | | | Case 2:
% 186.03/30.39  | | | | 
% 186.03/30.39  | | | |   (19)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0)
% 186.03/30.39  | | | |           = e1)
% 186.03/30.39  | | | | 
% 186.03/30.39  | | | | BETA: splitting (19) gives:
% 186.03/30.39  | | | | 
% 186.03/30.39  | | | | Case 1:
% 186.03/30.39  | | | | | 
% 186.03/30.39  | | | | |   (20)  all_56_8 = e1 & op(e1, e1) = e1
% 186.03/30.39  | | | | | 
% 186.03/30.39  | | | | | ALPHA: (20) implies:
% 186.03/30.39  | | | | |   (21)  op(e1, e1) = e1
% 186.03/30.39  | | | | | 
% 186.03/30.39  | | | | | GROUND_INST: instantiating (6) with e1, e2, e1, e1, simplifying with
% 186.03/30.39  | | | | |              (10), (21) gives:
% 186.03/30.39  | | | | |   (22)  e2 = e1
% 186.03/30.39  | | | | | 
% 186.03/30.39  | | | | | REDUCE: (11), (22) imply:
% 186.03/30.39  | | | | |   (23)  $false
% 186.03/30.39  | | | | | 
% 186.03/30.39  | | | | | CLOSE: (23) is inconsistent.
% 186.03/30.39  | | | | | 
% 186.03/30.39  | | | | Case 2:
% 186.03/30.39  | | | | | 
% 186.03/30.39  | | | | |   (24)  all_56_11 = e1 & op(e1, e0) = e1
% 186.03/30.39  | | | | | 
% 186.03/30.39  | | | | | ALPHA: (24) implies:
% 186.03/30.39  | | | | |   (25)  all_56_11 = e1
% 186.03/30.39  | | | | | 
% 186.03/30.39  | | | | | REF_CLOSE: (7), (11), (25) are inconsistent by sub-proof #1229.
% 186.03/30.39  | | | | | 
% 186.03/30.39  | | | | End of split
% 186.03/30.39  | | | | 
% 186.03/30.39  | | | End of split
% 186.03/30.39  | | | 
% 186.03/30.39  | | End of split
% 186.03/30.39  | | 
% 186.03/30.39  | Case 2:
% 186.03/30.39  | | 
% 186.03/30.39  | |   (26)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 186.03/30.39  | |           e3)
% 186.03/30.39  | | 
% 186.03/30.39  | | REF_CLOSE: (6), (7), (8), (10), (26) are inconsistent by sub-proof #923.
% 186.03/30.39  | | 
% 186.03/30.39  | End of split
% 186.03/30.39  | 
% 186.03/30.39  End of proof
% 186.03/30.39  
% 186.03/30.39  Sub-proof #923 shows that the following formulas are inconsistent:
% 186.03/30.39  ----------------------------------------------------------------
% 186.03/30.39    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.39           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.39    (2)  all_56_11 = e2
% 186.03/30.39    (3)   ~ (e3 = e2)
% 186.03/30.39    (4)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.03/30.39    (5)  op(e1, e1) = e2
% 186.03/30.39  
% 186.03/30.39  Begin of proof
% 186.03/30.39  | 
% 186.03/30.39  | BETA: splitting (4) gives:
% 186.03/30.39  | 
% 186.03/30.39  | Case 1:
% 186.03/30.39  | | 
% 186.03/30.39  | |   (6)  all_56_8 = e3 & op(e1, e1) = e3
% 186.03/30.39  | | 
% 186.03/30.39  | | ALPHA: (6) implies:
% 186.03/30.39  | |   (7)  op(e1, e1) = e3
% 186.03/30.39  | | 
% 186.03/30.39  | | REF_CLOSE: (1), (3), (5), (7) are inconsistent by sub-proof #1164.
% 186.03/30.39  | | 
% 186.03/30.39  | Case 2:
% 186.03/30.39  | | 
% 186.03/30.39  | |   (8)  all_56_11 = e3 & op(e1, e0) = e3
% 186.03/30.39  | | 
% 186.03/30.39  | | ALPHA: (8) implies:
% 186.03/30.39  | |   (9)  all_56_11 = e3
% 186.03/30.39  | | 
% 186.03/30.39  | | REF_CLOSE: (2), (3), (9) are inconsistent by sub-proof #1482.
% 186.03/30.39  | | 
% 186.03/30.39  | End of split
% 186.03/30.39  | 
% 186.03/30.39  End of proof
% 186.03/30.39  
% 186.03/30.39  Sub-proof #924 shows that the following formulas are inconsistent:
% 186.03/30.39  ----------------------------------------------------------------
% 186.03/30.39    (1)  all_54_4 = all_52_1
% 186.03/30.39    (2)  all_54_4 = e0
% 186.03/30.39    (3)   ~ (all_52_1 = e0)
% 186.03/30.39  
% 186.03/30.39  Begin of proof
% 186.03/30.39  | 
% 186.03/30.39  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.39  |   (4)  all_52_1 = e0
% 186.03/30.39  | 
% 186.03/30.39  | SIMP: (4) implies:
% 186.03/30.39  |   (5)  all_52_1 = e0
% 186.03/30.39  | 
% 186.03/30.39  | REDUCE: (3), (5) imply:
% 186.03/30.39  |   (6)  $false
% 186.03/30.39  | 
% 186.03/30.39  | CLOSE: (6) is inconsistent.
% 186.03/30.39  | 
% 186.03/30.39  End of proof
% 186.03/30.39  
% 186.03/30.39  Sub-proof #925 shows that the following formulas are inconsistent:
% 186.03/30.39  ----------------------------------------------------------------
% 186.03/30.39    (1)  all_54_6 = all_52_9
% 186.03/30.39    (2)  op(e0, e0) = all_6_2
% 186.03/30.39    (3)   ~ (all_4_2 = e0)
% 186.03/30.39    (4)   ~ (all_6_2 = e1)
% 186.03/30.39    (5)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 186.03/30.39         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.03/30.39    (6)  op(e0, e0) = e0
% 186.03/30.39    (7)   ~ (e3 = e1)
% 186.03/30.39    (8)   ~ (all_6_2 = e2)
% 186.03/30.39    (9)  all_54_6 = e1 | all_54_6 = e0
% 186.03/30.39    (10)  op(e2, e3) = all_52_1
% 186.03/30.39    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.39            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.39    (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 186.03/30.39          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.03/30.39    (13)   ~ (all_52_9 = e2)
% 186.03/30.39    (14)  op(e1, e3) = e1
% 186.03/30.39    (15)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.03/30.39          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.39            e1)
% 186.03/30.39    (16)   ~ (e3 = e2)
% 186.03/30.39    (17)  op(e3, e1) = all_52_8
% 186.03/30.39    (18)  op(e3, e3) = all_4_2
% 186.03/30.39    (19)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.03/30.39          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.03/30.39            e3)
% 186.03/30.39    (20)   ~ (all_52_9 = e3)
% 186.03/30.39    (21)  op(e1, e1) = e2
% 186.03/30.39    (22)   ~ (e2 = e1)
% 186.03/30.39    (23)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.03/30.39          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.39            e2)
% 186.03/30.39    (24)   ~ (all_52_9 = e1)
% 186.03/30.39    (25)   ~ (all_52_1 = all_52_9)
% 186.03/30.39    (26)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.39          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.39    (27)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 186.03/30.39          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 186.03/30.39  
% 186.03/30.39  Begin of proof
% 186.03/30.39  | 
% 186.03/30.39  | BETA: splitting (9) gives:
% 186.03/30.39  | 
% 186.03/30.39  | Case 1:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (28)  all_54_6 = e1
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (1), (24), (28) are inconsistent by sub-proof #940.
% 186.03/30.40  | | 
% 186.03/30.40  | Case 2:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (29)  all_54_6 = e0
% 186.03/30.40  | | 
% 186.03/30.40  | | COMBINE_EQS: (1), (29) imply:
% 186.03/30.40  | |   (30)  all_52_9 = e0
% 186.03/30.40  | | 
% 186.03/30.40  | | SIMP: (30) implies:
% 186.03/30.40  | |   (31)  all_52_9 = e0
% 186.03/30.40  | | 
% 186.03/30.40  | | REDUCE: (25), (31) imply:
% 186.03/30.40  | |   (32)   ~ (all_52_1 = e0)
% 186.03/30.40  | | 
% 186.03/30.40  | | REDUCE: (20), (31) imply:
% 186.03/30.40  | |   (33)   ~ (e3 = e0)
% 186.03/30.40  | | 
% 186.03/30.40  | | SIMP: (33) implies:
% 186.03/30.40  | |   (34)   ~ (e3 = e0)
% 186.03/30.40  | | 
% 186.03/30.40  | | REDUCE: (13), (31) imply:
% 186.03/30.40  | |   (35)   ~ (e2 = e0)
% 186.03/30.40  | | 
% 186.03/30.40  | | SIMP: (35) implies:
% 186.03/30.40  | |   (36)   ~ (e2 = e0)
% 186.03/30.40  | | 
% 186.03/30.40  | | REDUCE: (24), (31) imply:
% 186.03/30.40  | |   (37)   ~ (e1 = e0)
% 186.03/30.40  | | 
% 186.03/30.40  | | SIMP: (37) implies:
% 186.03/30.40  | |   (38)   ~ (e1 = e0)
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (14), (15),
% 186.03/30.40  | |            (16), (17), (18), (19), (21), (22), (23), (26), (27), (32), (34),
% 186.03/30.40  | |            (36), (38) are inconsistent by sub-proof #926.
% 186.03/30.40  | | 
% 186.03/30.40  | End of split
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #926 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)  op(e0, e0) = all_6_2
% 186.03/30.40    (2)   ~ (all_4_2 = e0)
% 186.03/30.40    (3)   ~ (all_6_2 = e1)
% 186.03/30.40    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 186.03/30.40         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.03/30.40    (5)   ~ (e1 = e0)
% 186.03/30.40    (6)  op(e0, e0) = e0
% 186.03/30.40    (7)   ~ (e3 = e0)
% 186.03/30.40    (8)   ~ (e2 = e0)
% 186.03/30.40    (9)   ~ (e3 = e1)
% 186.03/30.40    (10)   ~ (all_6_2 = e2)
% 186.03/30.40    (11)  op(e2, e3) = all_52_1
% 186.03/30.40    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.40            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.40    (13)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 186.03/30.40          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.03/30.40    (14)  op(e1, e3) = e1
% 186.03/30.40    (15)   ~ (all_52_1 = e0)
% 186.03/30.40    (16)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.03/30.40          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.40            e1)
% 186.03/30.40    (17)   ~ (e3 = e2)
% 186.03/30.40    (18)  op(e3, e1) = all_52_8
% 186.03/30.40    (19)  op(e3, e3) = all_4_2
% 186.03/30.40    (20)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.03/30.40          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.03/30.40            e3)
% 186.03/30.40    (21)  op(e1, e1) = e2
% 186.03/30.40    (22)   ~ (e2 = e1)
% 186.03/30.40    (23)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.03/30.40          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.40            e2)
% 186.03/30.40    (24)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.40          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.40    (25)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 186.03/30.40          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | BETA: splitting (24) gives:
% 186.03/30.40  | 
% 186.03/30.40  | Case 1:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (26)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 186.03/30.40  | |           e0)
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (2), (11), (12), (15), (19), (26) are inconsistent by sub-proof
% 186.03/30.40  | |            #929.
% 186.03/30.40  | | 
% 186.03/30.40  | Case 2:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (27)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 186.03/30.40  | |           e0)
% 186.03/30.40  | | 
% 186.03/30.40  | | BETA: splitting (27) gives:
% 186.03/30.40  | | 
% 186.03/30.40  | | Case 1:
% 186.03/30.40  | | | 
% 186.03/30.40  | | |   (28)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.40  | | | 
% 186.03/30.40  | | | ALPHA: (28) implies:
% 186.03/30.40  | | |   (29)  op(e1, e3) = e0
% 186.03/30.40  | | | 
% 186.03/30.40  | | | REF_CLOSE: (5), (12), (14), (29) are inconsistent by sub-proof #1251.
% 186.03/30.40  | | | 
% 186.03/30.40  | | Case 2:
% 186.03/30.40  | | | 
% 186.03/30.40  | | |   (30)  all_56_12 = e0 & op(e0, e3) = e0
% 186.03/30.40  | | | 
% 186.03/30.40  | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13), (16),
% 186.03/30.40  | | |            (17), (18), (20), (21), (22), (23), (25), (30) are inconsistent
% 186.03/30.40  | | |            by sub-proof #927.
% 186.03/30.40  | | | 
% 186.03/30.40  | | End of split
% 186.03/30.40  | | 
% 186.03/30.40  | End of split
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #927 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)  op(e0, e0) = all_6_2
% 186.03/30.40    (2)   ~ (all_6_2 = e1)
% 186.03/30.40    (3)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 186.03/30.40         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.03/30.40    (4)   ~ (e1 = e0)
% 186.03/30.40    (5)  op(e0, e0) = e0
% 186.03/30.40    (6)   ~ (e3 = e0)
% 186.03/30.40    (7)   ~ (e2 = e0)
% 186.03/30.40    (8)   ~ (e3 = e1)
% 186.03/30.40    (9)   ~ (all_6_2 = e2)
% 186.03/30.40    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.40            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.40    (11)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 186.03/30.40          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.03/30.40    (12)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.03/30.40          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.40            e1)
% 186.03/30.40    (13)  all_56_12 = e0 & op(e0, e3) = e0
% 186.03/30.40    (14)   ~ (e3 = e2)
% 186.03/30.40    (15)  op(e3, e1) = all_52_8
% 186.03/30.40    (16)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.03/30.40          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.03/30.40            e3)
% 186.03/30.40    (17)  op(e1, e1) = e2
% 186.03/30.40    (18)   ~ (e2 = e1)
% 186.03/30.40    (19)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.03/30.40          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.40            e2)
% 186.03/30.40    (20)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 186.03/30.40          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | ALPHA: (13) implies:
% 186.03/30.40  |   (21)  all_56_12 = e0
% 186.03/30.40  |   (22)  op(e0, e3) = e0
% 186.03/30.40  | 
% 186.03/30.40  | BETA: splitting (19) gives:
% 186.03/30.40  | 
% 186.03/30.40  | Case 1:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (23)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 186.03/30.40  | |           e2)
% 186.03/30.40  | | 
% 186.03/30.40  | | BETA: splitting (23) gives:
% 186.03/30.40  | | 
% 186.03/30.40  | | Case 1:
% 186.03/30.40  | | | 
% 186.03/30.40  | | |   (24)  all_56_12 = e2 & op(e0, e3) = e2
% 186.03/30.40  | | | 
% 186.03/30.40  | | | ALPHA: (24) implies:
% 186.03/30.40  | | |   (25)  all_56_12 = e2
% 186.03/30.40  | | | 
% 186.03/30.40  | | | REF_CLOSE: (7), (21), (25) are inconsistent by sub-proof #1548.
% 186.03/30.40  | | | 
% 186.03/30.40  | | Case 2:
% 186.03/30.40  | | | 
% 186.03/30.40  | | |   (26)  all_56_13 = e2 & op(e0, e2) = e2
% 186.03/30.40  | | | 
% 186.03/30.40  | | | ALPHA: (26) implies:
% 186.03/30.40  | | |   (27)  all_56_13 = e2
% 186.03/30.40  | | | 
% 186.03/30.40  | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (12), (14), (16),
% 186.03/30.40  | | |            (18), (19), (21), (22), (27) are inconsistent by sub-proof
% 186.03/30.40  | | |            #928.
% 186.03/30.40  | | | 
% 186.03/30.40  | | End of split
% 186.03/30.40  | | 
% 186.03/30.40  | Case 2:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (28)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.40  | |           e2)
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (1), (3), (4), (6), (7), (8), (9), (10), (11), (14), (15), (17),
% 186.03/30.40  | |            (18), (20), (28) are inconsistent by sub-proof #975.
% 186.03/30.40  | | 
% 186.03/30.40  | End of split
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #928 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)  op(e0, e0) = all_6_2
% 186.03/30.40    (2)   ~ (all_6_2 = e1)
% 186.03/30.40    (3)   ~ (e1 = e0)
% 186.03/30.40    (4)  op(e0, e0) = e0
% 186.03/30.40    (5)   ~ (e3 = e0)
% 186.03/30.40    (6)   ~ (e2 = e0)
% 186.03/30.40    (7)   ~ (e3 = e1)
% 186.03/30.40    (8)   ~ (all_6_2 = e2)
% 186.03/30.40    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.40           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.40    (10)  all_56_12 = e0
% 186.03/30.40    (11)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.03/30.40          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.40            e1)
% 186.03/30.40    (12)   ~ (e3 = e2)
% 186.03/30.40    (13)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.03/30.40          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.03/30.40            e3)
% 186.03/30.40    (14)   ~ (e2 = e1)
% 186.03/30.40    (15)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.03/30.40          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.40            e2)
% 186.03/30.40    (16)  all_56_13 = e2
% 186.03/30.40    (17)  op(e0, e3) = e0
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | BETA: splitting (13) gives:
% 186.03/30.40  | 
% 186.03/30.40  | Case 1:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (18)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 186.03/30.40  | |           e3)
% 186.03/30.40  | | 
% 186.03/30.40  | | BETA: splitting (18) gives:
% 186.03/30.40  | | 
% 186.03/30.40  | | Case 1:
% 186.03/30.40  | | | 
% 186.03/30.40  | | |   (19)  all_56_12 = e3 & op(e0, e3) = e3
% 186.03/30.40  | | | 
% 186.03/30.40  | | | ALPHA: (19) implies:
% 186.03/30.40  | | |   (20)  all_56_12 = e3
% 186.03/30.40  | | | 
% 186.03/30.40  | | | REF_CLOSE: (5), (10), (20) are inconsistent by sub-proof #1519.
% 186.03/30.40  | | | 
% 186.03/30.40  | | Case 2:
% 186.03/30.40  | | | 
% 186.03/30.40  | | |   (21)  all_56_13 = e3 & op(e0, e2) = e3
% 186.03/30.40  | | | 
% 186.03/30.40  | | | ALPHA: (21) implies:
% 186.03/30.40  | | |   (22)  all_56_13 = e3
% 186.03/30.40  | | | 
% 186.03/30.40  | | | REF_CLOSE: (12), (16), (22) are inconsistent by sub-proof #1121.
% 186.03/30.40  | | | 
% 186.03/30.40  | | End of split
% 186.03/30.40  | | 
% 186.03/30.40  | Case 2:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (23)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.03/30.40  | |           e3)
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 186.03/30.40  | |            (14), (15), (17), (23) are inconsistent by sub-proof #995.
% 186.03/30.40  | | 
% 186.03/30.40  | End of split
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #929 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 186.03/30.40    (2)   ~ (all_4_2 = e0)
% 186.03/30.40    (3)  op(e2, e3) = all_52_1
% 186.03/30.40    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.40           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.40    (5)   ~ (all_52_1 = e0)
% 186.03/30.40    (6)  op(e3, e3) = all_4_2
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | BETA: splitting (1) gives:
% 186.03/30.40  | 
% 186.03/30.40  | Case 1:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 186.03/30.40  | | 
% 186.03/30.40  | | ALPHA: (7) implies:
% 186.03/30.40  | |   (8)  op(e3, e3) = e0
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1624.
% 186.03/30.40  | | 
% 186.03/30.40  | Case 2:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (9)  all_56_2 = e0 & op(e2, e3) = e0
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #930.
% 186.03/30.40  | | 
% 186.03/30.40  | End of split
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #930 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)  all_56_2 = e0 & op(e2, e3) = e0
% 186.03/30.40    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.40           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.40    (3)  op(e2, e3) = all_52_1
% 186.03/30.40    (4)   ~ (all_52_1 = e0)
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | ALPHA: (1) implies:
% 186.03/30.40  |   (5)  op(e2, e3) = e0
% 186.03/30.40  | 
% 186.03/30.40  | GROUND_INST: instantiating (2) with all_52_1, e0, e3, e2, simplifying with
% 186.03/30.40  |              (3), (5) gives:
% 186.03/30.40  |   (6)  all_52_1 = e0
% 186.03/30.40  | 
% 186.03/30.40  | REDUCE: (4), (6) imply:
% 186.03/30.40  |   (7)  $false
% 186.03/30.40  | 
% 186.03/30.40  | CLOSE: (7) is inconsistent.
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #931 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)  all_56_10 = e3
% 186.03/30.40    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 186.03/30.40         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.03/30.40    (3)  all_56_2 = e1
% 186.03/30.40    (4)   ~ (e1 = e0)
% 186.03/30.40    (5)   ~ (e3 = e0)
% 186.03/30.40    (6)   ~ (e2 = e0)
% 186.03/30.40    (7)   ~ (e3 = e1)
% 186.03/30.40    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.40           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.40    (9)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.03/30.40         (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 186.03/30.40    (10)  all_56_3 = e0
% 186.03/30.40    (11)   ~ (e3 = e2)
% 186.03/30.40    (12)  all_56_4 = e0
% 186.03/30.40    (13)  op(e1, e1) = e2
% 186.03/30.40    (14)   ~ (e2 = e1)
% 186.03/30.40    (15)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 186.03/30.40          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | BETA: splitting (9) gives:
% 186.03/30.40  | 
% 186.03/30.40  | Case 1:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (16)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 186.03/30.40  | |           e2)
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (3), (6), (10), (14), (16) are inconsistent by sub-proof #938.
% 186.03/30.40  | | 
% 186.03/30.40  | Case 2:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (17)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 186.03/30.40  | |           e2)
% 186.03/30.40  | | 
% 186.03/30.40  | | BETA: splitting (17) gives:
% 186.03/30.40  | | 
% 186.03/30.40  | | Case 1:
% 186.03/30.40  | | | 
% 186.03/30.40  | | |   (18)  all_56_5 = e2 & op(e2, e1) = e2
% 186.03/30.40  | | | 
% 186.03/30.40  | | | ALPHA: (18) implies:
% 186.03/30.40  | | |   (19)  all_56_5 = e2
% 186.03/30.40  | | | 
% 186.03/30.40  | | | REF_CLOSE: (2), (4), (5), (7), (8), (11), (12), (13), (14), (15), (19) are
% 186.03/30.40  | | |            inconsistent by sub-proof #932.
% 186.03/30.40  | | | 
% 186.03/30.40  | | Case 2:
% 186.03/30.40  | | | 
% 186.03/30.40  | | |   (20)  all_56_10 = e2 & op(e2, e0) = e2
% 186.03/30.40  | | | 
% 186.03/30.40  | | | REF_CLOSE: (1), (11), (20) are inconsistent by sub-proof #1502.
% 186.03/30.40  | | | 
% 186.03/30.40  | | End of split
% 186.03/30.40  | | 
% 186.03/30.40  | End of split
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #932 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 186.03/30.40         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.03/30.40    (2)   ~ (e1 = e0)
% 186.03/30.40    (3)   ~ (e3 = e0)
% 186.03/30.40    (4)   ~ (e3 = e1)
% 186.03/30.40    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.40           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.40    (6)  all_56_5 = e2
% 186.03/30.40    (7)   ~ (e3 = e2)
% 186.03/30.40    (8)  all_56_4 = e0
% 186.03/30.40    (9)  op(e1, e1) = e2
% 186.03/30.40    (10)   ~ (e2 = e1)
% 186.03/30.40    (11)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 186.03/30.40          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | BETA: splitting (1) gives:
% 186.03/30.40  | 
% 186.03/30.40  | Case 1:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (12)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 186.03/30.40  | |           e3)
% 186.03/30.40  | | 
% 186.03/30.40  | | BETA: splitting (12) gives:
% 186.03/30.40  | | 
% 186.03/30.40  | | Case 1:
% 186.03/30.40  | | | 
% 186.03/30.40  | | |   (13)  all_56_4 = e3 & op(e3, e1) = e3
% 186.03/30.40  | | | 
% 186.03/30.40  | | | REF_CLOSE: (3), (8), (13) are inconsistent by sub-proof #937.
% 186.03/30.40  | | | 
% 186.03/30.40  | | Case 2:
% 186.03/30.40  | | | 
% 186.03/30.40  | | |   (14)  all_56_5 = e3 & op(e2, e1) = e3
% 186.03/30.40  | | | 
% 186.03/30.40  | | | ALPHA: (14) implies:
% 186.03/30.40  | | |   (15)  all_56_5 = e3
% 186.03/30.40  | | | 
% 186.03/30.40  | | | REF_CLOSE: (6), (7), (15) are inconsistent by sub-proof #936.
% 186.03/30.40  | | | 
% 186.03/30.40  | | End of split
% 186.03/30.40  | | 
% 186.03/30.40  | Case 2:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (16)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 186.03/30.40  | |           e3)
% 186.03/30.40  | | 
% 186.03/30.40  | | BETA: splitting (16) gives:
% 186.03/30.40  | | 
% 186.03/30.40  | | Case 1:
% 186.03/30.40  | | | 
% 186.03/30.40  | | |   (17)  all_56_8 = e3 & op(e1, e1) = e3
% 186.03/30.40  | | | 
% 186.03/30.40  | | | ALPHA: (17) implies:
% 186.03/30.40  | | |   (18)  op(e1, e1) = e3
% 186.03/30.40  | | | 
% 186.03/30.40  | | | REF_CLOSE: (5), (7), (9), (18) are inconsistent by sub-proof #1164.
% 186.03/30.40  | | | 
% 186.03/30.40  | | Case 2:
% 186.03/30.40  | | | 
% 186.03/30.40  | | |   (19)  all_56_14 = e3 & op(e0, e1) = e3
% 186.03/30.40  | | | 
% 186.03/30.40  | | | ALPHA: (19) implies:
% 186.03/30.40  | | |   (20)  all_56_14 = e3
% 186.03/30.40  | | | 
% 186.03/30.40  | | | REF_CLOSE: (2), (4), (5), (6), (8), (9), (10), (11), (20) are inconsistent
% 186.03/30.40  | | |            by sub-proof #933.
% 186.03/30.40  | | | 
% 186.03/30.40  | | End of split
% 186.03/30.40  | | 
% 186.03/30.40  | End of split
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #933 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)   ~ (e1 = e0)
% 186.03/30.40    (2)   ~ (e3 = e1)
% 186.03/30.40    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.40           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.40    (4)  all_56_5 = e2
% 186.03/30.40    (5)  all_56_14 = e3
% 186.03/30.40    (6)  all_56_4 = e0
% 186.03/30.40    (7)  op(e1, e1) = e2
% 186.03/30.40    (8)   ~ (e2 = e1)
% 186.03/30.40    (9)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 186.03/30.40         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | BETA: splitting (9) gives:
% 186.03/30.40  | 
% 186.03/30.40  | Case 1:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (10)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 186.03/30.40  | |           e1)
% 186.03/30.40  | | 
% 186.03/30.40  | | BETA: splitting (10) gives:
% 186.03/30.40  | | 
% 186.03/30.40  | | Case 1:
% 186.03/30.40  | | | 
% 186.03/30.40  | | |   (11)  all_56_4 = e1 & op(e3, e1) = e1
% 186.03/30.40  | | | 
% 186.03/30.40  | | | REF_CLOSE: (1), (6), (11) are inconsistent by sub-proof #935.
% 186.03/30.40  | | | 
% 186.03/30.40  | | Case 2:
% 186.03/30.40  | | | 
% 186.03/30.40  | | |   (12)  all_56_5 = e1 & op(e2, e1) = e1
% 186.03/30.40  | | | 
% 186.03/30.40  | | | ALPHA: (12) implies:
% 186.03/30.40  | | |   (13)  all_56_5 = e1
% 186.03/30.40  | | | 
% 186.03/30.40  | | | COMBINE_EQS: (4), (13) imply:
% 186.03/30.40  | | |   (14)  e2 = e1
% 186.03/30.40  | | | 
% 186.03/30.40  | | | REDUCE: (8), (14) imply:
% 186.03/30.40  | | |   (15)  $false
% 186.03/30.40  | | | 
% 186.03/30.40  | | | CLOSE: (15) is inconsistent.
% 186.03/30.40  | | | 
% 186.03/30.40  | | End of split
% 186.03/30.40  | | 
% 186.03/30.40  | Case 2:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (16)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 186.03/30.40  | |           e1)
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (2), (3), (5), (7), (8), (16) are inconsistent by sub-proof #934.
% 186.03/30.40  | | 
% 186.03/30.40  | End of split
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #934 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)   ~ (e3 = e1)
% 186.03/30.40    (2)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 186.03/30.40    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.40           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.40    (4)  all_56_14 = e3
% 186.03/30.40    (5)  op(e1, e1) = e2
% 186.03/30.40    (6)   ~ (e2 = e1)
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | BETA: splitting (2) gives:
% 186.03/30.40  | 
% 186.03/30.40  | Case 1:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 186.03/30.40  | | 
% 186.03/30.40  | | ALPHA: (7) implies:
% 186.03/30.40  | |   (8)  op(e1, e1) = e1
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1473.
% 186.03/30.40  | | 
% 186.03/30.40  | Case 2:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (9)  all_56_14 = e1 & op(e0, e1) = e1
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (1), (4), (9) are inconsistent by sub-proof #1369.
% 186.03/30.40  | | 
% 186.03/30.40  | End of split
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #935 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)  all_56_4 = e1 & op(e3, e1) = e1
% 186.03/30.40    (2)  all_56_4 = e0
% 186.03/30.40    (3)   ~ (e1 = e0)
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | ALPHA: (1) implies:
% 186.03/30.40  |   (4)  all_56_4 = e1
% 186.03/30.40  | 
% 186.03/30.40  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.40  |   (5)  e1 = e0
% 186.03/30.40  | 
% 186.03/30.40  | REDUCE: (3), (5) imply:
% 186.03/30.40  |   (6)  $false
% 186.03/30.40  | 
% 186.03/30.40  | CLOSE: (6) is inconsistent.
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #936 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)  all_56_5 = e3
% 186.03/30.40    (2)  all_56_5 = e2
% 186.03/30.40    (3)   ~ (e3 = e2)
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.40  |   (4)  e3 = e2
% 186.03/30.40  | 
% 186.03/30.40  | SIMP: (4) implies:
% 186.03/30.40  |   (5)  e3 = e2
% 186.03/30.40  | 
% 186.03/30.40  | REDUCE: (3), (5) imply:
% 186.03/30.40  |   (6)  $false
% 186.03/30.40  | 
% 186.03/30.40  | CLOSE: (6) is inconsistent.
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #937 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)  all_56_4 = e3 & op(e3, e1) = e3
% 186.03/30.40    (2)  all_56_4 = e0
% 186.03/30.40    (3)   ~ (e3 = e0)
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | ALPHA: (1) implies:
% 186.03/30.40  |   (4)  all_56_4 = e3
% 186.03/30.40  | 
% 186.03/30.40  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.40  |   (5)  e3 = e0
% 186.03/30.40  | 
% 186.03/30.40  | REDUCE: (3), (5) imply:
% 186.03/30.40  |   (6)  $false
% 186.03/30.40  | 
% 186.03/30.40  | CLOSE: (6) is inconsistent.
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #938 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)  all_56_2 = e1
% 186.03/30.40    (2)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 186.03/30.40    (3)   ~ (e2 = e0)
% 186.03/30.40    (4)  all_56_3 = e0
% 186.03/30.40    (5)   ~ (e2 = e1)
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | BETA: splitting (2) gives:
% 186.03/30.40  | 
% 186.03/30.40  | Case 1:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (6)  all_56_2 = e2 & op(e2, e3) = e2
% 186.03/30.40  | | 
% 186.03/30.40  | | ALPHA: (6) implies:
% 186.03/30.40  | |   (7)  all_56_2 = e2
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (1), (5), (7) are inconsistent by sub-proof #1363.
% 186.03/30.40  | | 
% 186.03/30.40  | Case 2:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (8)  all_56_3 = e2 & op(e2, e2) = e2
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #939.
% 186.03/30.40  | | 
% 186.03/30.40  | End of split
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #939 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)  all_56_3 = e2 & op(e2, e2) = e2
% 186.03/30.40    (2)  all_56_3 = e0
% 186.03/30.40    (3)   ~ (e2 = e0)
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | ALPHA: (1) implies:
% 186.03/30.40  |   (4)  all_56_3 = e2
% 186.03/30.40  | 
% 186.03/30.40  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.40  |   (5)  e2 = e0
% 186.03/30.40  | 
% 186.03/30.40  | SIMP: (5) implies:
% 186.03/30.40  |   (6)  e2 = e0
% 186.03/30.40  | 
% 186.03/30.40  | REDUCE: (3), (6) imply:
% 186.03/30.40  |   (7)  $false
% 186.03/30.40  | 
% 186.03/30.40  | CLOSE: (7) is inconsistent.
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #940 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)  all_54_6 = all_52_9
% 186.03/30.40    (2)  all_54_6 = e1
% 186.03/30.40    (3)   ~ (all_52_9 = e1)
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.40  |   (4)  all_52_9 = e1
% 186.03/30.40  | 
% 186.03/30.40  | SIMP: (4) implies:
% 186.03/30.40  |   (5)  all_52_9 = e1
% 186.03/30.40  | 
% 186.03/30.40  | REDUCE: (3), (5) imply:
% 186.03/30.40  |   (6)  $false
% 186.03/30.40  | 
% 186.03/30.40  | CLOSE: (6) is inconsistent.
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #941 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)   ~ (all_52_14 = e0)
% 186.03/30.40    (2)   ~ (all_52_13 = all_52_14)
% 186.03/30.40    (3)  op(e3, e0) = all_52_12
% 186.03/30.40    (4)   ~ (all_52_12 = all_52_13)
% 186.03/30.40    (5)   ~ (all_52_14 = e2)
% 186.03/30.40    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.40           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.40    (7)  all_54_7 = all_52_13
% 186.03/30.40    (8)  all_54_11 = all_52_14
% 186.03/30.40    (9)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 186.03/30.40    (10)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 186.03/30.40    (11)   ~ (all_52_13 = e2)
% 186.03/30.40    (12)   ~ (all_52_13 = e0)
% 186.03/30.40    (13)  op(e3, e0) = e3
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | BETA: splitting (10) gives:
% 186.03/30.40  | 
% 186.03/30.40  | Case 1:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (14)  all_54_11 = e2
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (5), (8), (14) are inconsistent by sub-proof #1115.
% 186.03/30.40  | | 
% 186.03/30.40  | Case 2:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (15)  all_54_11 = e1 | all_54_11 = e0
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (11), (12), (13), (15)
% 186.03/30.40  | |            are inconsistent by sub-proof #942.
% 186.03/30.40  | | 
% 186.03/30.40  | End of split
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #942 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)   ~ (all_52_14 = e0)
% 186.03/30.40    (2)   ~ (all_52_13 = all_52_14)
% 186.03/30.40    (3)  op(e3, e0) = all_52_12
% 186.03/30.40    (4)   ~ (all_52_12 = all_52_13)
% 186.03/30.40    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.40           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.40    (6)  all_54_7 = all_52_13
% 186.03/30.40    (7)  all_54_11 = all_52_14
% 186.03/30.40    (8)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 186.03/30.40    (9)  all_54_11 = e1 | all_54_11 = e0
% 186.03/30.40    (10)   ~ (all_52_13 = e2)
% 186.03/30.40    (11)   ~ (all_52_13 = e0)
% 186.03/30.40    (12)  op(e3, e0) = e3
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | BETA: splitting (9) gives:
% 186.03/30.40  | 
% 186.03/30.40  | Case 1:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (13)  all_54_11 = e1
% 186.03/30.40  | | 
% 186.03/30.40  | | COMBINE_EQS: (7), (13) imply:
% 186.03/30.40  | |   (14)  all_52_14 = e1
% 186.03/30.40  | | 
% 186.03/30.40  | | SIMP: (14) implies:
% 186.03/30.40  | |   (15)  all_52_14 = e1
% 186.03/30.40  | | 
% 186.03/30.40  | | REDUCE: (2), (15) imply:
% 186.03/30.40  | |   (16)   ~ (all_52_13 = e1)
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (3), (4), (5), (6), (8), (10), (11), (12), (16) are inconsistent
% 186.03/30.40  | |            by sub-proof #943.
% 186.03/30.40  | | 
% 186.03/30.40  | Case 2:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (17)  all_54_11 = e0
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (1), (7), (17) are inconsistent by sub-proof #1329.
% 186.03/30.40  | | 
% 186.03/30.40  | End of split
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #943 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)  op(e3, e0) = all_52_12
% 186.03/30.40    (2)   ~ (all_52_12 = all_52_13)
% 186.03/30.40    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.40           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.40    (4)   ~ (all_52_13 = e1)
% 186.03/30.40    (5)  all_54_7 = all_52_13
% 186.03/30.40    (6)  all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 186.03/30.40    (7)   ~ (all_52_13 = e2)
% 186.03/30.40    (8)   ~ (all_52_13 = e0)
% 186.03/30.40    (9)  op(e3, e0) = e3
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | BETA: splitting (6) gives:
% 186.03/30.40  | 
% 186.03/30.40  | Case 1:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (10)  all_54_7 = e3
% 186.03/30.40  | | 
% 186.03/30.40  | | COMBINE_EQS: (5), (10) imply:
% 186.03/30.40  | |   (11)  all_52_13 = e3
% 186.03/30.40  | | 
% 186.03/30.40  | | SIMP: (11) implies:
% 186.03/30.40  | |   (12)  all_52_13 = e3
% 186.03/30.40  | | 
% 186.03/30.40  | | REDUCE: (2), (12) imply:
% 186.03/30.40  | |   (13)   ~ (all_52_12 = e3)
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (1), (3), (9), (13) are inconsistent by sub-proof #1615.
% 186.03/30.40  | | 
% 186.03/30.40  | Case 2:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (14)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (4), (5), (7), (8), (14) are inconsistent by sub-proof #944.
% 186.03/30.40  | | 
% 186.03/30.40  | End of split
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #944 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)   ~ (all_52_13 = e1)
% 186.03/30.40    (2)  all_54_7 = all_52_13
% 186.03/30.40    (3)   ~ (all_52_13 = e2)
% 186.03/30.40    (4)   ~ (all_52_13 = e0)
% 186.03/30.40    (5)  all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | BETA: splitting (5) gives:
% 186.03/30.40  | 
% 186.03/30.40  | Case 1:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (6)  all_54_7 = e2
% 186.03/30.40  | | 
% 186.03/30.40  | | COMBINE_EQS: (2), (6) imply:
% 186.03/30.40  | |   (7)  all_52_13 = e2
% 186.03/30.40  | | 
% 186.03/30.40  | | REDUCE: (3), (7) imply:
% 186.03/30.40  | |   (8)  $false
% 186.03/30.40  | | 
% 186.03/30.40  | | CLOSE: (8) is inconsistent.
% 186.03/30.40  | | 
% 186.03/30.40  | Case 2:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (9)  all_54_7 = e1 | all_54_7 = e0
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #945.
% 186.03/30.40  | | 
% 186.03/30.40  | End of split
% 186.03/30.40  | 
% 186.03/30.40  End of proof
% 186.03/30.40  
% 186.03/30.40  Sub-proof #945 shows that the following formulas are inconsistent:
% 186.03/30.40  ----------------------------------------------------------------
% 186.03/30.40    (1)  all_54_7 = e1 | all_54_7 = e0
% 186.03/30.40    (2)  all_54_7 = all_52_13
% 186.03/30.40    (3)   ~ (all_52_13 = e1)
% 186.03/30.40    (4)   ~ (all_52_13 = e0)
% 186.03/30.40  
% 186.03/30.40  Begin of proof
% 186.03/30.40  | 
% 186.03/30.40  | BETA: splitting (1) gives:
% 186.03/30.40  | 
% 186.03/30.40  | Case 1:
% 186.03/30.40  | | 
% 186.03/30.40  | |   (5)  all_54_7 = e1
% 186.03/30.40  | | 
% 186.03/30.40  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #947.
% 186.03/30.40  | | 
% 186.03/30.40  | Case 2:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (6)  all_54_7 = e0
% 186.03/30.41  | | 
% 186.03/30.41  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #946.
% 186.03/30.41  | | 
% 186.03/30.41  | End of split
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #946 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  all_54_7 = all_52_13
% 186.03/30.41    (2)  all_54_7 = e0
% 186.03/30.41    (3)   ~ (all_52_13 = e0)
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.41  |   (4)  all_52_13 = e0
% 186.03/30.41  | 
% 186.03/30.41  | SIMP: (4) implies:
% 186.03/30.41  |   (5)  all_52_13 = e0
% 186.03/30.41  | 
% 186.03/30.41  | REDUCE: (3), (5) imply:
% 186.03/30.41  |   (6)  $false
% 186.03/30.41  | 
% 186.03/30.41  | CLOSE: (6) is inconsistent.
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #947 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  all_54_7 = all_52_13
% 186.03/30.41    (2)  all_54_7 = e1
% 186.03/30.41    (3)   ~ (all_52_13 = e1)
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.41  |   (4)  all_52_13 = e1
% 186.03/30.41  | 
% 186.03/30.41  | SIMP: (4) implies:
% 186.03/30.41  |   (5)  all_52_13 = e1
% 186.03/30.41  | 
% 186.03/30.41  | REDUCE: (3), (5) imply:
% 186.03/30.41  |   (6)  $false
% 186.03/30.41  | 
% 186.03/30.41  | CLOSE: (6) is inconsistent.
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #948 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 186.03/30.41         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 186.03/30.41    (2)  all_56_6 = e0
% 186.03/30.41    (3)  all_56_2 = e1
% 186.03/30.41    (4)   ~ (e1 = e0)
% 186.03/30.41    (5)   ~ (e3 = e0)
% 186.03/30.41    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.03/30.41         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.03/30.41    (7)  all_56_0 = e1
% 186.03/30.41    (8)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.03/30.41         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.41    (9)   ~ (all_52_6 = e0)
% 186.03/30.41    (10)   ~ (e2 = e0)
% 186.03/30.41    (11)   ~ (e3 = e1)
% 186.03/30.41    (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 186.03/30.41          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.03/30.41    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.41            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.41    (14)   ~ (e3 = e2)
% 186.03/30.41    (15)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 186.03/30.41          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.03/30.41    (16)  op(e1, e2) = all_52_6
% 186.03/30.41    (17)  op(e1, e1) = e2
% 186.03/30.41    (18)   ~ (e2 = e1)
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | BETA: splitting (12) gives:
% 186.03/30.41  | 
% 186.03/30.41  | Case 1:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (19)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 186.03/30.41  | |           e3)
% 186.03/30.41  | | 
% 186.03/30.41  | | BETA: splitting (19) gives:
% 186.03/30.41  | | 
% 186.03/30.41  | | Case 1:
% 186.03/30.41  | | | 
% 186.03/30.41  | | |   (20)  all_56_0 = e3 & op(e3, e3) = e3
% 186.03/30.41  | | | 
% 186.03/30.41  | | | REF_CLOSE: (7), (11), (20) are inconsistent by sub-proof #951.
% 186.03/30.41  | | | 
% 186.03/30.41  | | Case 2:
% 186.03/30.41  | | | 
% 186.03/30.41  | | |   (21)  all_56_2 = e3 & op(e2, e3) = e3
% 186.03/30.41  | | | 
% 186.03/30.41  | | | REF_CLOSE: (3), (11), (21) are inconsistent by sub-proof #1531.
% 186.03/30.41  | | | 
% 186.03/30.41  | | End of split
% 186.03/30.41  | | 
% 186.03/30.41  | Case 2:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (22)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 186.03/30.41  | |           e3)
% 186.03/30.41  | | 
% 186.03/30.41  | | BETA: splitting (22) gives:
% 186.03/30.41  | | 
% 186.03/30.41  | | Case 1:
% 186.03/30.41  | | | 
% 186.03/30.41  | | |   (23)  all_56_6 = e3 & op(e1, e3) = e3
% 186.03/30.41  | | | 
% 186.03/30.41  | | | REF_CLOSE: (2), (5), (23) are inconsistent by sub-proof #1530.
% 186.03/30.41  | | | 
% 186.03/30.41  | | Case 2:
% 186.03/30.41  | | | 
% 186.03/30.41  | | |   (24)  all_56_12 = e3 & op(e0, e3) = e3
% 186.03/30.41  | | | 
% 186.03/30.41  | | | ALPHA: (24) implies:
% 186.03/30.41  | | |   (25)  all_56_12 = e3
% 186.03/30.41  | | | 
% 186.03/30.41  | | | BETA: splitting (6) gives:
% 186.03/30.41  | | | 
% 186.03/30.41  | | | Case 1:
% 186.03/30.41  | | | | 
% 186.03/30.41  | | | |   (26)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3)
% 186.03/30.41  | | | |           = e2)
% 186.03/30.41  | | | | 
% 186.03/30.41  | | | | BETA: splitting (26) gives:
% 186.03/30.41  | | | | 
% 186.03/30.41  | | | | Case 1:
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | |   (27)  all_56_0 = e2 & op(e3, e3) = e2
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | | REF_CLOSE: (7), (18), (27) are inconsistent by sub-proof #950.
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | Case 2:
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | |   (28)  all_56_2 = e2 & op(e2, e3) = e2
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | | REF_CLOSE: (3), (18), (28) are inconsistent by sub-proof #949.
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | End of split
% 186.03/30.41  | | | | 
% 186.03/30.41  | | | Case 2:
% 186.03/30.41  | | | | 
% 186.03/30.41  | | | |   (29)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3)
% 186.03/30.41  | | | |           = e2)
% 186.03/30.41  | | | | 
% 186.03/30.41  | | | | BETA: splitting (29) gives:
% 186.03/30.41  | | | | 
% 186.03/30.41  | | | | Case 1:
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | |   (30)  all_56_6 = e2 & op(e1, e3) = e2
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | | ALPHA: (30) implies:
% 186.03/30.41  | | | | |   (31)  all_56_6 = e2
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | | REF_CLOSE: (1), (4), (5), (8), (9), (10), (11), (13), (14), (15),
% 186.03/30.41  | | | | |            (16), (17), (18), (31) are inconsistent by sub-proof #1161.
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | Case 2:
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | |   (32)  all_56_12 = e2 & op(e0, e3) = e2
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | | ALPHA: (32) implies:
% 186.03/30.41  | | | | |   (33)  all_56_12 = e2
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | | REF_CLOSE: (14), (25), (33) are inconsistent by sub-proof #1555.
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | End of split
% 186.03/30.41  | | | | 
% 186.03/30.41  | | | End of split
% 186.03/30.41  | | | 
% 186.03/30.41  | | End of split
% 186.03/30.41  | | 
% 186.03/30.41  | End of split
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #949 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  all_56_2 = e2 & op(e2, e3) = e2
% 186.03/30.41    (2)  all_56_2 = e1
% 186.03/30.41    (3)   ~ (e2 = e1)
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | ALPHA: (1) implies:
% 186.03/30.41  |   (4)  all_56_2 = e2
% 186.03/30.41  | 
% 186.03/30.41  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.41  |   (5)  e2 = e1
% 186.03/30.41  | 
% 186.03/30.41  | REDUCE: (3), (5) imply:
% 186.03/30.41  |   (6)  $false
% 186.03/30.41  | 
% 186.03/30.41  | CLOSE: (6) is inconsistent.
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #950 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  all_56_0 = e2 & op(e3, e3) = e2
% 186.03/30.41    (2)  all_56_0 = e1
% 186.03/30.41    (3)   ~ (e2 = e1)
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | ALPHA: (1) implies:
% 186.03/30.41  |   (4)  all_56_0 = e2
% 186.03/30.41  | 
% 186.03/30.41  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.41  |   (5)  e2 = e1
% 186.03/30.41  | 
% 186.03/30.41  | SIMP: (5) implies:
% 186.03/30.41  |   (6)  e2 = e1
% 186.03/30.41  | 
% 186.03/30.41  | REDUCE: (3), (6) imply:
% 186.03/30.41  |   (7)  $false
% 186.03/30.41  | 
% 186.03/30.41  | CLOSE: (7) is inconsistent.
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #951 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  all_56_0 = e3 & op(e3, e3) = e3
% 186.03/30.41    (2)  all_56_0 = e1
% 186.03/30.41    (3)   ~ (e3 = e1)
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | ALPHA: (1) implies:
% 186.03/30.41  |   (4)  all_56_0 = e3
% 186.03/30.41  | 
% 186.03/30.41  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.41  |   (5)  e3 = e1
% 186.03/30.41  | 
% 186.03/30.41  | SIMP: (5) implies:
% 186.03/30.41  |   (6)  e3 = e1
% 186.03/30.41  | 
% 186.03/30.41  | REDUCE: (3), (6) imply:
% 186.03/30.41  |   (7)  $false
% 186.03/30.41  | 
% 186.03/30.41  | CLOSE: (7) is inconsistent.
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #952 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  all_54_8 = all_52_2
% 186.03/30.41    (2)  all_54_8 = e1
% 186.03/30.41    (3)   ~ (all_52_2 = e1)
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.41  |   (4)  all_52_2 = e1
% 186.03/30.41  | 
% 186.03/30.41  | SIMP: (4) implies:
% 186.03/30.41  |   (5)  all_52_2 = e1
% 186.03/30.41  | 
% 186.03/30.41  | REDUCE: (3), (5) imply:
% 186.03/30.41  |   (6)  $false
% 186.03/30.41  | 
% 186.03/30.41  | CLOSE: (6) is inconsistent.
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #953 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  op(e0, e0) = all_6_2
% 186.03/30.41    (2)  all_56_10 = e3
% 186.03/30.41    (3)  all_56_9 = e2
% 186.03/30.41    (4)   ~ (all_6_2 = e2)
% 186.03/30.41    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.41    (6)  all_56_12 = e2
% 186.03/30.41    (7)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 186.03/30.41         (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.03/30.41    (8)   ~ (e3 = e2)
% 186.03/30.41    (9)  all_56_12 = e1
% 186.03/30.41    (10)   ~ (e2 = e1)
% 186.03/30.41    (11)  all_56_11 = e1
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | COMBINE_EQS: (6), (9) imply:
% 186.03/30.41  |   (12)  e2 = e1
% 186.03/30.41  | 
% 186.03/30.41  | SIMP: (12) implies:
% 186.03/30.41  |   (13)  e2 = e1
% 186.03/30.41  | 
% 186.03/30.41  | COMBINE_EQS: (3), (13) imply:
% 186.03/30.41  |   (14)  all_56_9 = e1
% 186.03/30.41  | 
% 186.03/30.41  | REF_CLOSE: (1), (2), (4), (5), (7), (8), (10), (11), (14) are inconsistent by
% 186.03/30.41  |            sub-proof #954.
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #954 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  op(e0, e0) = all_6_2
% 186.03/30.41    (2)  all_56_10 = e3
% 186.03/30.41    (3)   ~ (all_6_2 = e2)
% 186.03/30.41    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.41    (5)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 186.03/30.41         (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.03/30.41    (6)   ~ (e3 = e2)
% 186.03/30.41    (7)  all_56_9 = e1
% 186.03/30.41    (8)   ~ (e2 = e1)
% 186.03/30.41    (9)  all_56_11 = e1
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | BETA: splitting (5) gives:
% 186.03/30.41  | 
% 186.03/30.41  | Case 1:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (10)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 186.03/30.41  | |           e2)
% 186.03/30.41  | | 
% 186.03/30.41  | | REF_CLOSE: (2), (6), (7), (8), (10) are inconsistent by sub-proof #957.
% 186.03/30.41  | | 
% 186.03/30.41  | Case 2:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (11)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.41  | |           e2)
% 186.03/30.41  | | 
% 186.03/30.41  | | REF_CLOSE: (1), (3), (4), (8), (9), (11) are inconsistent by sub-proof #955.
% 186.03/30.41  | | 
% 186.03/30.41  | End of split
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #955 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  op(e0, e0) = all_6_2
% 186.03/30.41    (2)   ~ (all_6_2 = e2)
% 186.03/30.41    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.41    (4)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.03/30.41    (5)   ~ (e2 = e1)
% 186.03/30.41    (6)  all_56_11 = e1
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | BETA: splitting (4) gives:
% 186.03/30.41  | 
% 186.03/30.41  | Case 1:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (7)  all_56_11 = e2 & op(e1, e0) = e2
% 186.03/30.41  | | 
% 186.03/30.41  | | REF_CLOSE: (5), (6), (7) are inconsistent by sub-proof #956.
% 186.03/30.41  | | 
% 186.03/30.41  | Case 2:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (8)  all_56_15 = e2 & op(e0, e0) = e2
% 186.03/30.41  | | 
% 186.03/30.41  | | ALPHA: (8) implies:
% 186.03/30.41  | |   (9)  op(e0, e0) = e2
% 186.03/30.41  | | 
% 186.03/30.41  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #1511.
% 186.03/30.41  | | 
% 186.03/30.41  | End of split
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #956 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  all_56_11 = e2 & op(e1, e0) = e2
% 186.03/30.41    (2)  all_56_11 = e1
% 186.03/30.41    (3)   ~ (e2 = e1)
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | ALPHA: (1) implies:
% 186.03/30.41  |   (4)  all_56_11 = e2
% 186.03/30.41  | 
% 186.03/30.41  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.41  |   (5)  e2 = e1
% 186.03/30.41  | 
% 186.03/30.41  | REDUCE: (3), (5) imply:
% 186.03/30.41  |   (6)  $false
% 186.03/30.41  | 
% 186.03/30.41  | CLOSE: (6) is inconsistent.
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #957 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  all_56_10 = e3
% 186.03/30.41    (2)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 186.03/30.41    (3)   ~ (e3 = e2)
% 186.03/30.41    (4)  all_56_9 = e1
% 186.03/30.41    (5)   ~ (e2 = e1)
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | BETA: splitting (2) gives:
% 186.03/30.41  | 
% 186.03/30.41  | Case 1:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (6)  all_56_9 = e2 & op(e3, e0) = e2
% 186.03/30.41  | | 
% 186.03/30.41  | | REF_CLOSE: (4), (5), (6) are inconsistent by sub-proof #1129.
% 186.03/30.41  | | 
% 186.03/30.41  | Case 2:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (7)  all_56_10 = e2 & op(e2, e0) = e2
% 186.03/30.41  | | 
% 186.03/30.41  | | ALPHA: (7) implies:
% 186.03/30.41  | |   (8)  all_56_10 = e2
% 186.03/30.41  | | 
% 186.03/30.41  | | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #958.
% 186.03/30.41  | | 
% 186.03/30.41  | End of split
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #958 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  all_56_10 = e3
% 186.03/30.41    (2)  all_56_10 = e2
% 186.03/30.41    (3)   ~ (e3 = e2)
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.41  |   (4)  e3 = e2
% 186.03/30.41  | 
% 186.03/30.41  | SIMP: (4) implies:
% 186.03/30.41  |   (5)  e3 = e2
% 186.03/30.41  | 
% 186.03/30.41  | REDUCE: (3), (5) imply:
% 186.03/30.41  |   (6)  $false
% 186.03/30.41  | 
% 186.03/30.41  | CLOSE: (6) is inconsistent.
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #959 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  op(e0, e0) = all_6_2
% 186.03/30.41    (2)  all_56_10 = e3
% 186.03/30.41    (3)  all_56_9 = e2
% 186.03/30.41    (4)   ~ (all_6_2 = e1)
% 186.03/30.41    (5)   ~ (e1 = e0)
% 186.03/30.41    (6)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.03/30.41    (7)   ~ (e3 = e0)
% 186.03/30.41    (8)   ~ (e2 = e0)
% 186.03/30.41    (9)   ~ (e3 = e1)
% 186.03/30.41    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.41            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.41    (11)  op(e2, e0) = all_52_13
% 186.03/30.41    (12)   ~ (e3 = e2)
% 186.03/30.41    (13)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 186.03/30.41          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 186.03/30.41    (14)  all_56_14 = e3
% 186.03/30.41    (15)   ~ (all_52_13 = e0)
% 186.03/30.41    (16)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.41              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.41                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.03/30.41                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.03/30.41    (17)  all_56_11 = e1
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | BETA: splitting (6) gives:
% 186.03/30.41  | 
% 186.03/30.41  | Case 1:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (18)  all_56_14 = e1 & op(e0, e1) = e1
% 186.03/30.41  | | 
% 186.03/30.41  | | ALPHA: (18) implies:
% 186.03/30.41  | |   (19)  all_56_14 = e1
% 186.03/30.41  | | 
% 186.03/30.41  | | COMBINE_EQS: (14), (19) imply:
% 186.03/30.41  | |   (20)  e3 = e1
% 186.03/30.41  | | 
% 186.03/30.41  | | SIMP: (20) implies:
% 186.03/30.41  | |   (21)  e3 = e1
% 186.03/30.41  | | 
% 186.03/30.41  | | COMBINE_EQS: (2), (21) imply:
% 186.03/30.41  | |   (22)  all_56_10 = e1
% 186.03/30.41  | | 
% 186.03/30.41  | | REF_CLOSE: (3), (5), (7), (8), (9), (10), (11), (12), (13), (15), (16),
% 186.03/30.41  | |            (17), (22) are inconsistent by sub-proof #1205.
% 186.03/30.41  | | 
% 186.03/30.41  | Case 2:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (23)  all_56_15 = e1 & op(e0, e0) = e1
% 186.03/30.41  | | 
% 186.03/30.41  | | ALPHA: (23) implies:
% 186.03/30.41  | |   (24)  op(e0, e0) = e1
% 186.03/30.41  | | 
% 186.03/30.41  | | REF_CLOSE: (1), (4), (10), (24) are inconsistent by sub-proof #1516.
% 186.03/30.41  | | 
% 186.03/30.41  | End of split
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #960 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)   ~ (e1 = e0)
% 186.03/30.41    (2)   ~ (e3 = e0)
% 186.03/30.41    (3)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.03/30.41         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.41    (4)   ~ (e2 = e0)
% 186.03/30.41    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.41    (6)   ~ (all_52_6 = e2)
% 186.03/30.41    (7)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 186.03/30.41         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 186.03/30.41    (8)  all_56_6 = e3
% 186.03/30.41    (9)   ~ (e3 = e2)
% 186.03/30.41    (10)  op(e1, e3) = e3
% 186.03/30.41    (11)  op(e1, e2) = all_52_6
% 186.03/30.41    (12)   ~ (e2 = e1)
% 186.03/30.41    (13)  all_56_7 = e3
% 186.03/30.41    (14)  all_56_11 = e1
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | BETA: splitting (3) gives:
% 186.03/30.41  | 
% 186.03/30.41  | Case 1:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 186.03/30.41  | |           e0)
% 186.03/30.41  | | 
% 186.03/30.41  | | BETA: splitting (15) gives:
% 186.03/30.41  | | 
% 186.03/30.41  | | Case 1:
% 186.03/30.41  | | | 
% 186.03/30.41  | | |   (16)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.41  | | | 
% 186.03/30.41  | | | ALPHA: (16) implies:
% 186.03/30.41  | | |   (17)  op(e1, e3) = e0
% 186.03/30.41  | | | 
% 186.03/30.41  | | | REF_CLOSE: (2), (5), (10), (17) are inconsistent by sub-proof #1536.
% 186.03/30.41  | | | 
% 186.03/30.41  | | Case 2:
% 186.03/30.41  | | | 
% 186.03/30.41  | | |   (18)  all_56_7 = e0 & op(e1, e2) = e0
% 186.03/30.41  | | | 
% 186.03/30.41  | | | REF_CLOSE: (2), (13), (18) are inconsistent by sub-proof #967.
% 186.03/30.41  | | | 
% 186.03/30.41  | | End of split
% 186.03/30.41  | | 
% 186.03/30.41  | Case 2:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (19)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 186.03/30.41  | |           e0)
% 186.03/30.41  | | 
% 186.03/30.41  | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (9), (11), (12), (14), (19) are
% 186.03/30.41  | |            inconsistent by sub-proof #961.
% 186.03/30.41  | | 
% 186.03/30.41  | End of split
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #961 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.41    (2)   ~ (e1 = e0)
% 186.03/30.41    (3)   ~ (e2 = e0)
% 186.03/30.41    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.41    (5)   ~ (all_52_6 = e2)
% 186.03/30.41    (6)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 186.03/30.41         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 186.03/30.41    (7)  all_56_6 = e3
% 186.03/30.41    (8)   ~ (e3 = e2)
% 186.03/30.41    (9)  op(e1, e2) = all_52_6
% 186.03/30.41    (10)   ~ (e2 = e1)
% 186.03/30.41    (11)  all_56_11 = e1
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | BETA: splitting (1) gives:
% 186.03/30.41  | 
% 186.03/30.41  | Case 1:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (12)  all_56_8 = e0 & op(e1, e1) = e0
% 186.03/30.41  | | 
% 186.03/30.41  | | ALPHA: (12) implies:
% 186.03/30.41  | |   (13)  op(e1, e1) = e0
% 186.03/30.41  | | 
% 186.03/30.41  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (11), (13) are
% 186.03/30.41  | |            inconsistent by sub-proof #1228.
% 186.03/30.41  | | 
% 186.03/30.41  | Case 2:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (14)  all_56_11 = e0 & op(e1, e0) = e0
% 186.03/30.41  | | 
% 186.03/30.41  | | REF_CLOSE: (2), (11), (14) are inconsistent by sub-proof #1207.
% 186.03/30.41  | | 
% 186.03/30.41  | End of split
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #962 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  all_56_9 = e2
% 186.03/30.41    (2)   ~ (all_4_2 = e0)
% 186.03/30.41    (3)   ~ (e1 = e0)
% 186.03/30.41    (4)   ~ (e3 = e0)
% 186.03/30.41    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.03/30.41         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.41    (6)   ~ (e2 = e0)
% 186.03/30.41    (7)   ~ (e3 = e1)
% 186.03/30.41    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.41    (9)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 186.03/30.41         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 186.03/30.41    (10)   ~ (e3 = e2)
% 186.03/30.41    (11)  op(e3, e3) = all_4_2
% 186.03/30.41    (12)  op(e3, e3) = e3
% 186.03/30.41    (13)   ~ (e2 = e1)
% 186.03/30.41    (14)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 186.03/30.41    (15)  op(e2, e2) = e2
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | BETA: splitting (14) gives:
% 186.03/30.41  | 
% 186.03/30.41  | Case 1:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (16)  all_56_1 = e3 & op(e3, e2) = e3
% 186.03/30.41  | | 
% 186.03/30.41  | | ALPHA: (16) implies:
% 186.03/30.41  | |   (17)  all_56_1 = e3
% 186.03/30.41  | | 
% 186.03/30.41  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 186.03/30.41  | |            (17) are inconsistent by sub-proof #963.
% 186.03/30.41  | | 
% 186.03/30.41  | Case 2:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (18)  all_56_3 = e3 & op(e2, e2) = e3
% 186.03/30.41  | | 
% 186.03/30.41  | | ALPHA: (18) implies:
% 186.03/30.41  | |   (19)  op(e2, e2) = e3
% 186.03/30.41  | | 
% 186.03/30.41  | | REF_CLOSE: (8), (10), (15), (19) are inconsistent by sub-proof #1602.
% 186.03/30.41  | | 
% 186.03/30.41  | End of split
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #963 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  all_56_9 = e2
% 186.03/30.41    (2)   ~ (all_4_2 = e0)
% 186.03/30.41    (3)   ~ (e1 = e0)
% 186.03/30.41    (4)   ~ (e3 = e0)
% 186.03/30.41    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.03/30.41         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.41    (6)   ~ (e2 = e0)
% 186.03/30.41    (7)   ~ (e3 = e1)
% 186.03/30.41    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.41    (9)  all_56_1 = e3
% 186.03/30.41    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 186.03/30.41          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 186.03/30.41    (11)  op(e3, e3) = all_4_2
% 186.03/30.41    (12)  op(e3, e3) = e3
% 186.03/30.41    (13)   ~ (e2 = e1)
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | BETA: splitting (10) gives:
% 186.03/30.41  | 
% 186.03/30.41  | Case 1:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (14)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) =
% 186.03/30.41  | |           e1)
% 186.03/30.41  | | 
% 186.03/30.41  | | BETA: splitting (14) gives:
% 186.03/30.41  | | 
% 186.03/30.41  | | Case 1:
% 186.03/30.41  | | | 
% 186.03/30.41  | | |   (15)  all_56_0 = e1 & op(e3, e3) = e1
% 186.03/30.41  | | | 
% 186.03/30.41  | | | ALPHA: (15) implies:
% 186.03/30.41  | | |   (16)  op(e3, e3) = e1
% 186.03/30.41  | | | 
% 186.03/30.41  | | | REF_CLOSE: (7), (8), (12), (16) are inconsistent by sub-proof #1600.
% 186.03/30.41  | | | 
% 186.03/30.41  | | Case 2:
% 186.03/30.41  | | | 
% 186.03/30.41  | | |   (17)  all_56_1 = e1 & op(e3, e2) = e1
% 186.03/30.41  | | | 
% 186.03/30.41  | | | ALPHA: (17) implies:
% 186.03/30.41  | | |   (18)  all_56_1 = e1
% 186.03/30.41  | | | 
% 186.03/30.41  | | | REF_CLOSE: (7), (9), (18) are inconsistent by sub-proof #1403.
% 186.03/30.41  | | | 
% 186.03/30.41  | | End of split
% 186.03/30.41  | | 
% 186.03/30.41  | Case 2:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (19)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 186.03/30.41  | |           e1)
% 186.03/30.41  | | 
% 186.03/30.41  | | BETA: splitting (19) gives:
% 186.03/30.41  | | 
% 186.03/30.41  | | Case 1:
% 186.03/30.41  | | | 
% 186.03/30.41  | | |   (20)  all_56_4 = e1 & op(e3, e1) = e1
% 186.03/30.41  | | | 
% 186.03/30.41  | | | ALPHA: (20) implies:
% 186.03/30.41  | | |   (21)  op(e3, e1) = e1
% 186.03/30.41  | | | 
% 186.03/30.41  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (11), (21) are
% 186.03/30.41  | | |            inconsistent by sub-proof #1568.
% 186.03/30.41  | | | 
% 186.03/30.41  | | Case 2:
% 186.03/30.41  | | | 
% 186.03/30.41  | | |   (22)  all_56_9 = e1 & op(e3, e0) = e1
% 186.03/30.41  | | | 
% 186.03/30.41  | | | REF_CLOSE: (1), (13), (22) are inconsistent by sub-proof #1565.
% 186.03/30.41  | | | 
% 186.03/30.41  | | End of split
% 186.03/30.41  | | 
% 186.03/30.41  | End of split
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #964 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 186.03/30.41         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 186.03/30.41    (2)   ~ (all_4_2 = e0)
% 186.03/30.41    (3)   ~ (e1 = e0)
% 186.03/30.41    (4)   ~ (e3 = e0)
% 186.03/30.41    (5)  op(e0, e3) = e1
% 186.03/30.41    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.03/30.41         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.03/30.41    (7)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.03/30.41         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.41    (8)   ~ (e2 = e0)
% 186.03/30.41    (9)   ~ (e3 = e1)
% 186.03/30.41    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.41            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.41    (11)   ~ (e3 = e2)
% 186.03/30.41    (12)  all_56_12 = e1
% 186.03/30.41    (13)  op(e1, e3) = e3
% 186.03/30.41    (14)  op(e3, e3) = all_4_2
% 186.03/30.41    (15)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 186.03/30.41          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.03/30.41    (16)  op(e3, e3) = e3
% 186.03/30.41    (17)  op(e1, e1) = e2
% 186.03/30.41    (18)   ~ (e2 = e1)
% 186.03/30.41    (19)  all_56_11 = e1
% 186.03/30.41    (20)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.41          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | BETA: splitting (6) gives:
% 186.03/30.41  | 
% 186.03/30.41  | Case 1:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (21)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 186.03/30.41  | |           e2)
% 186.03/30.41  | | 
% 186.03/30.41  | | REF_CLOSE: (2), (3), (4), (5), (8), (10), (11), (13), (14), (16), (20), (21)
% 186.03/30.41  | |            are inconsistent by sub-proof #1223.
% 186.03/30.41  | | 
% 186.03/30.41  | Case 2:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (22)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 186.03/30.41  | |           e2)
% 186.03/30.41  | | 
% 186.03/30.41  | | BETA: splitting (22) gives:
% 186.03/30.41  | | 
% 186.03/30.41  | | Case 1:
% 186.03/30.41  | | | 
% 186.03/30.41  | | |   (23)  all_56_6 = e2 & op(e1, e3) = e2
% 186.03/30.41  | | | 
% 186.03/30.41  | | | ALPHA: (23) implies:
% 186.03/30.41  | | |   (24)  all_56_6 = e2
% 186.03/30.41  | | | 
% 186.03/30.41  | | | REF_CLOSE: (1), (3), (4), (7), (8), (9), (10), (11), (15), (17), (18),
% 186.03/30.41  | | |            (19), (24) are inconsistent by sub-proof #965.
% 186.03/30.41  | | | 
% 186.03/30.41  | | Case 2:
% 186.03/30.41  | | | 
% 186.03/30.41  | | |   (25)  all_56_12 = e2 & op(e0, e3) = e2
% 186.03/30.41  | | | 
% 186.03/30.41  | | | REF_CLOSE: (12), (18), (25) are inconsistent by sub-proof #1591.
% 186.03/30.41  | | | 
% 186.03/30.41  | | End of split
% 186.03/30.41  | | 
% 186.03/30.41  | End of split
% 186.03/30.41  | 
% 186.03/30.41  End of proof
% 186.03/30.41  
% 186.03/30.41  Sub-proof #965 shows that the following formulas are inconsistent:
% 186.03/30.41  ----------------------------------------------------------------
% 186.03/30.41    (1)  all_56_6 = e2
% 186.03/30.41    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 186.03/30.41         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 186.03/30.41    (3)   ~ (e1 = e0)
% 186.03/30.41    (4)   ~ (e3 = e0)
% 186.03/30.41    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.03/30.41         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.41    (6)   ~ (e2 = e0)
% 186.03/30.41    (7)   ~ (e3 = e1)
% 186.03/30.41    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.41           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.41    (9)   ~ (e3 = e2)
% 186.03/30.41    (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 186.03/30.41          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.03/30.41    (11)  op(e1, e1) = e2
% 186.03/30.41    (12)   ~ (e2 = e1)
% 186.03/30.41    (13)  all_56_11 = e1
% 186.03/30.41  
% 186.03/30.41  Begin of proof
% 186.03/30.41  | 
% 186.03/30.41  | BETA: splitting (10) gives:
% 186.03/30.41  | 
% 186.03/30.41  | Case 1:
% 186.03/30.41  | | 
% 186.03/30.41  | |   (14)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 186.03/30.41  | |           e3)
% 186.03/30.41  | | 
% 186.03/30.41  | | BETA: splitting (14) gives:
% 186.03/30.41  | | 
% 186.03/30.41  | | Case 1:
% 186.03/30.41  | | | 
% 186.03/30.41  | | |   (15)  all_56_6 = e3 & op(e1, e3) = e3
% 186.03/30.41  | | | 
% 186.03/30.41  | | | ALPHA: (15) implies:
% 186.03/30.41  | | |   (16)  all_56_6 = e3
% 186.03/30.41  | | | 
% 186.03/30.41  | | | REF_CLOSE: (1), (9), (16) are inconsistent by sub-proof #1454.
% 186.03/30.41  | | | 
% 186.03/30.41  | | Case 2:
% 186.03/30.41  | | | 
% 186.03/30.41  | | |   (17)  all_56_7 = e3 & op(e1, e2) = e3
% 186.03/30.41  | | | 
% 186.03/30.41  | | | ALPHA: (17) implies:
% 186.03/30.41  | | |   (18)  all_56_7 = e3
% 186.03/30.41  | | | 
% 186.03/30.41  | | | BETA: splitting (5) gives:
% 186.03/30.41  | | | 
% 186.03/30.41  | | | Case 1:
% 186.03/30.41  | | | | 
% 186.03/30.41  | | | |   (19)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2)
% 186.03/30.41  | | | |           = e0)
% 186.03/30.41  | | | | 
% 186.03/30.41  | | | | BETA: splitting (19) gives:
% 186.03/30.41  | | | | 
% 186.03/30.41  | | | | Case 1:
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | |   (20)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | | REF_CLOSE: (1), (6), (20) are inconsistent by sub-proof #1455.
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | Case 2:
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | |   (21)  all_56_7 = e0 & op(e1, e2) = e0
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | | REF_CLOSE: (4), (18), (21) are inconsistent by sub-proof #967.
% 186.03/30.41  | | | | | 
% 186.03/30.41  | | | | End of split
% 186.03/30.41  | | | | 
% 186.03/30.41  | | | Case 2:
% 186.03/30.41  | | | | 
% 186.03/30.42  | | | |   (22)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.42  | | | |           = e0)
% 186.03/30.42  | | | | 
% 186.03/30.42  | | | | BETA: splitting (22) gives:
% 186.03/30.42  | | | | 
% 186.03/30.42  | | | | Case 1:
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | |   (23)  all_56_8 = e0 & op(e1, e1) = e0
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | | ALPHA: (23) implies:
% 186.03/30.42  | | | | |   (24)  op(e1, e1) = e0
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | | REF_CLOSE: (6), (8), (11), (24) are inconsistent by sub-proof #1230.
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | Case 2:
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | |   (25)  all_56_11 = e0 & op(e1, e0) = e0
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | | ALPHA: (25) implies:
% 186.03/30.42  | | | | |   (26)  all_56_11 = e0
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | | REF_CLOSE: (1), (2), (3), (7), (8), (11), (12), (18), (26) are
% 186.03/30.42  | | | | |            inconsistent by sub-proof #1165.
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | End of split
% 186.03/30.42  | | | | 
% 186.03/30.42  | | | End of split
% 186.03/30.42  | | | 
% 186.03/30.42  | | End of split
% 186.03/30.42  | | 
% 186.03/30.42  | Case 2:
% 186.03/30.42  | | 
% 186.03/30.42  | |   (27)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 186.03/30.42  | |           e3)
% 186.03/30.42  | | 
% 186.03/30.42  | | REF_CLOSE: (7), (8), (9), (11), (13), (27) are inconsistent by sub-proof
% 186.03/30.42  | |            #966.
% 186.03/30.42  | | 
% 186.03/30.42  | End of split
% 186.03/30.42  | 
% 186.03/30.42  End of proof
% 186.03/30.42  
% 186.03/30.42  Sub-proof #966 shows that the following formulas are inconsistent:
% 186.03/30.42  ----------------------------------------------------------------
% 186.03/30.42    (1)   ~ (e3 = e1)
% 186.03/30.42    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.42           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.42    (3)   ~ (e3 = e2)
% 186.03/30.42    (4)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.03/30.42    (5)  op(e1, e1) = e2
% 186.03/30.42    (6)  all_56_11 = e1
% 186.03/30.42  
% 186.03/30.42  Begin of proof
% 186.03/30.42  | 
% 186.03/30.42  | BETA: splitting (4) gives:
% 186.03/30.42  | 
% 186.03/30.42  | Case 1:
% 186.03/30.42  | | 
% 186.03/30.42  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 186.03/30.42  | | 
% 186.03/30.42  | | ALPHA: (7) implies:
% 186.03/30.42  | |   (8)  op(e1, e1) = e3
% 186.03/30.42  | | 
% 186.03/30.42  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1164.
% 186.03/30.42  | | 
% 186.03/30.42  | Case 2:
% 186.03/30.42  | | 
% 186.03/30.42  | |   (9)  all_56_11 = e3 & op(e1, e0) = e3
% 186.03/30.42  | | 
% 186.03/30.42  | | ALPHA: (9) implies:
% 186.03/30.42  | |   (10)  all_56_11 = e3
% 186.03/30.42  | | 
% 186.03/30.42  | | REF_CLOSE: (1), (6), (10) are inconsistent by sub-proof #1209.
% 186.03/30.42  | | 
% 186.03/30.42  | End of split
% 186.03/30.42  | 
% 186.03/30.42  End of proof
% 186.03/30.42  
% 186.03/30.42  Sub-proof #967 shows that the following formulas are inconsistent:
% 186.03/30.42  ----------------------------------------------------------------
% 186.03/30.42    (1)  all_56_7 = e0 & op(e1, e2) = e0
% 186.03/30.42    (2)  all_56_7 = e3
% 186.03/30.42    (3)   ~ (e3 = e0)
% 186.03/30.42  
% 186.03/30.42  Begin of proof
% 186.03/30.42  | 
% 186.03/30.42  | ALPHA: (1) implies:
% 186.03/30.42  |   (4)  all_56_7 = e0
% 186.03/30.42  | 
% 186.03/30.42  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.42  |   (5)  e3 = e0
% 186.03/30.42  | 
% 186.03/30.42  | REDUCE: (3), (5) imply:
% 186.03/30.42  |   (6)  $false
% 186.03/30.42  | 
% 186.03/30.42  | CLOSE: (6) is inconsistent.
% 186.03/30.42  | 
% 186.03/30.42  End of proof
% 186.03/30.42  
% 186.03/30.42  Sub-proof #968 shows that the following formulas are inconsistent:
% 186.03/30.42  ----------------------------------------------------------------
% 186.03/30.42    (1)  all_56_9 = e2
% 186.03/30.42    (2)   ~ (all_4_2 = e0)
% 186.03/30.42    (3)   ~ (e1 = e0)
% 186.03/30.42    (4)  op(e3, e1) = e3
% 186.03/30.42    (5)   ~ (e3 = e0)
% 186.03/30.42    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.03/30.42         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.42    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.03/30.42         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.03/30.42    (8)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.03/30.42         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.03/30.42    (9)   ~ (e2 = e0)
% 186.03/30.42    (10)   ~ (e3 = e1)
% 186.03/30.42    (11)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 186.03/30.42          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.03/30.42    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.42            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.42    (13)  all_56_12 = e2
% 186.03/30.42    (14)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 186.03/30.42          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 186.03/30.42    (15)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.03/30.42          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.42    (16)  all_56_4 = e3
% 186.03/30.42    (17)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.03/30.42          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.03/30.42    (18)   ~ (e3 = e2)
% 186.03/30.42    (19)  op(e3, e1) = all_52_8
% 186.03/30.42    (20)  op(e3, e3) = all_4_2
% 186.03/30.42    (21)  op(e3, e3) = e3
% 186.03/30.42    (22)   ~ (e2 = e1)
% 186.03/30.42    (23)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.42          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.42  
% 186.03/30.42  Begin of proof
% 186.03/30.42  | 
% 186.03/30.42  | BETA: splitting (14) gives:
% 186.03/30.42  | 
% 186.03/30.42  | Case 1:
% 186.03/30.42  | | 
% 186.03/30.42  | |   (24)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) =
% 186.03/30.42  | |           e1)
% 186.03/30.42  | | 
% 186.03/30.42  | | BETA: splitting (24) gives:
% 186.03/30.42  | | 
% 186.03/30.42  | | Case 1:
% 186.03/30.42  | | | 
% 186.03/30.42  | | |   (25)  all_56_0 = e1 & op(e3, e3) = e1
% 186.03/30.42  | | | 
% 186.03/30.42  | | | ALPHA: (25) implies:
% 186.03/30.42  | | |   (26)  op(e3, e3) = e1
% 186.03/30.42  | | | 
% 186.03/30.42  | | | REF_CLOSE: (10), (12), (21), (26) are inconsistent by sub-proof #1600.
% 186.03/30.42  | | | 
% 186.03/30.42  | | Case 2:
% 186.03/30.42  | | | 
% 186.03/30.42  | | |   (27)  all_56_1 = e1 & op(e3, e2) = e1
% 186.03/30.42  | | | 
% 186.03/30.42  | | | ALPHA: (27) implies:
% 186.03/30.42  | | |   (28)  all_56_1 = e1
% 186.03/30.42  | | | 
% 186.03/30.42  | | | BETA: splitting (11) gives:
% 186.03/30.42  | | | 
% 186.03/30.42  | | | Case 1:
% 186.03/30.42  | | | | 
% 186.03/30.42  | | | |   (29)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3)
% 186.03/30.42  | | | |           = e3)
% 186.03/30.42  | | | | 
% 186.03/30.42  | | | | BETA: splitting (29) gives:
% 186.03/30.42  | | | | 
% 186.03/30.42  | | | | Case 1:
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | |   (30)  all_56_0 = e3 & op(e3, e3) = e3
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | | ALPHA: (30) implies:
% 186.03/30.42  | | | | |   (31)  all_56_0 = e3
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | | BETA: splitting (6) gives:
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | | Case 1:
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | |   (32)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3,
% 186.03/30.42  | | | | | |             e2) = e0)
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | | REF_CLOSE: (2), (3), (12), (20), (28), (32) are inconsistent by
% 186.03/30.42  | | | | | |            sub-proof #1152.
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | Case 2:
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | |   (33)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3,
% 186.03/30.42  | | | | | |             e0) = e0)
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | | BETA: splitting (33) gives:
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | | Case 1:
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | |   (34)  all_56_4 = e0 & op(e3, e1) = e0
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | ALPHA: (34) implies:
% 186.03/30.42  | | | | | | |   (35)  op(e3, e1) = e0
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | REF_CLOSE: (4), (5), (12), (19), (35) are inconsistent by
% 186.03/30.42  | | | | | | |            sub-proof #1577.
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | Case 2:
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | |   (36)  all_56_9 = e0 & op(e3, e0) = e0
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | ALPHA: (36) implies:
% 186.03/30.42  | | | | | | |   (37)  all_56_9 = e0
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | REF_CLOSE: (9), (16), (17), (18), (22), (28), (31), (37) are
% 186.03/30.42  | | | | | | |            inconsistent by sub-proof #971.
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | End of split
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | End of split
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | Case 2:
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | |   (38)  all_56_2 = e3 & op(e2, e3) = e3
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | | ALPHA: (38) implies:
% 186.03/30.42  | | | | |   (39)  all_56_2 = e3
% 186.03/30.42  | | | | |   (40)  op(e2, e3) = e3
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | | BETA: splitting (8) gives:
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | | Case 1:
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | |   (41)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2,
% 186.03/30.42  | | | | | |             e3) = e1)
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | | BETA: splitting (41) gives:
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | | Case 1:
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | |   (42)  all_56_0 = e1 & op(e3, e3) = e1
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | ALPHA: (42) implies:
% 186.03/30.42  | | | | | | |   (43)  op(e3, e3) = e1
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | REF_CLOSE: (2), (3), (5), (6), (9), (10), (12), (15), (17), (18),
% 186.03/30.42  | | | | | | |            (19), (20), (22), (28), (43) are inconsistent by
% 186.03/30.42  | | | | | | |            sub-proof #1186.
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | Case 2:
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | |   (44)  all_56_2 = e1 & op(e2, e3) = e1
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | ALPHA: (44) implies:
% 186.03/30.42  | | | | | | |   (45)  all_56_2 = e1
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | REF_CLOSE: (10), (39), (45) are inconsistent by sub-proof #1558.
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | End of split
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | Case 2:
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | |   (46)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0,
% 186.03/30.42  | | | | | |             e3) = e1)
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | | BETA: splitting (46) gives:
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | | Case 1:
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | |   (47)  all_56_6 = e1 & op(e1, e3) = e1
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | ALPHA: (47) implies:
% 186.03/30.42  | | | | | | |   (48)  op(e1, e3) = e1
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | BETA: splitting (23) gives:
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | Case 1:
% 186.03/30.42  | | | | | | | | 
% 186.03/30.42  | | | | | | | |   (49)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 &
% 186.03/30.42  | | | | | | | |           op(e2, e3) = e0)
% 186.03/30.42  | | | | | | | | 
% 186.03/30.42  | | | | | | | | REF_CLOSE: (2), (5), (12), (20), (40), (49) are inconsistent by
% 186.03/30.42  | | | | | | | |            sub-proof #1595.
% 186.03/30.42  | | | | | | | | 
% 186.03/30.42  | | | | | | | Case 2:
% 186.03/30.42  | | | | | | | | 
% 186.03/30.42  | | | | | | | |   (50)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 &
% 186.03/30.42  | | | | | | | |           op(e0, e3) = e0)
% 186.03/30.42  | | | | | | | | 
% 186.03/30.42  | | | | | | | | BETA: splitting (50) gives:
% 186.03/30.42  | | | | | | | | 
% 186.03/30.42  | | | | | | | | Case 1:
% 186.03/30.42  | | | | | | | | | 
% 186.03/30.42  | | | | | | | | |   (51)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.42  | | | | | | | | | 
% 186.03/30.42  | | | | | | | | | ALPHA: (51) implies:
% 186.03/30.42  | | | | | | | | |   (52)  op(e1, e3) = e0
% 186.03/30.42  | | | | | | | | | 
% 186.03/30.42  | | | | | | | | | REF_CLOSE: (3), (12), (48), (52) are inconsistent by sub-proof
% 186.03/30.42  | | | | | | | | |            #1251.
% 186.03/30.42  | | | | | | | | | 
% 186.03/30.42  | | | | | | | | Case 2:
% 186.03/30.42  | | | | | | | | | 
% 186.03/30.42  | | | | | | | | |   (53)  all_56_12 = e0 & op(e0, e3) = e0
% 186.03/30.42  | | | | | | | | | 
% 186.03/30.42  | | | | | | | | | REF_CLOSE: (1), (9), (12), (13), (16), (17), (18), (21), (22),
% 186.03/30.42  | | | | | | | | |            (28), (53) are inconsistent by sub-proof #969.
% 186.03/30.42  | | | | | | | | | 
% 186.03/30.42  | | | | | | | | End of split
% 186.03/30.42  | | | | | | | | 
% 186.03/30.42  | | | | | | | End of split
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | Case 2:
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | |   (54)  all_56_12 = e1 & op(e0, e3) = e1
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | ALPHA: (54) implies:
% 186.03/30.42  | | | | | | |   (55)  all_56_12 = e1
% 186.03/30.42  | | | | | | |   (56)  op(e0, e3) = e1
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | REF_CLOSE: (2), (3), (5), (7), (9), (12), (18), (20), (21), (22),
% 186.03/30.42  | | | | | | |            (23), (39), (40), (55), (56) are inconsistent by
% 186.03/30.42  | | | | | | |            sub-proof #1588.
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | End of split
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | End of split
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | End of split
% 186.03/30.42  | | | | 
% 186.03/30.42  | | | Case 2:
% 186.03/30.42  | | | | 
% 186.03/30.42  | | | |   (57)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3)
% 186.03/30.42  | | | |           = e3)
% 186.03/30.42  | | | | 
% 186.03/30.42  | | | | BETA: splitting (57) gives:
% 186.03/30.42  | | | | 
% 186.03/30.42  | | | | Case 1:
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | |   (58)  all_56_6 = e3 & op(e1, e3) = e3
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | | ALPHA: (58) implies:
% 186.03/30.42  | | | | |   (59)  all_56_6 = e3
% 186.03/30.42  | | | | |   (60)  op(e1, e3) = e3
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | | BETA: splitting (8) gives:
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | | Case 1:
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | |   (61)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2,
% 186.03/30.42  | | | | | |             e3) = e1)
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | | BETA: splitting (61) gives:
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | | Case 1:
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | |   (62)  all_56_0 = e1 & op(e3, e3) = e1
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | ALPHA: (62) implies:
% 186.03/30.42  | | | | | | |   (63)  op(e3, e3) = e1
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | REF_CLOSE: (2), (3), (5), (6), (9), (10), (12), (15), (17), (18),
% 186.03/30.42  | | | | | | |            (19), (20), (22), (28), (63) are inconsistent by
% 186.03/30.42  | | | | | | |            sub-proof #1186.
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | Case 2:
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | |   (64)  all_56_2 = e1 & op(e2, e3) = e1
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | ALPHA: (64) implies:
% 186.03/30.42  | | | | | | |   (65)  all_56_2 = e1
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | BETA: splitting (23) gives:
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | Case 1:
% 186.03/30.42  | | | | | | | | 
% 186.03/30.42  | | | | | | | |   (66)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 &
% 186.03/30.42  | | | | | | | |           op(e2, e3) = e0)
% 186.03/30.42  | | | | | | | | 
% 186.03/30.42  | | | | | | | | REF_CLOSE: (2), (3), (12), (20), (65), (66) are inconsistent by
% 186.03/30.42  | | | | | | | |            sub-proof #1534.
% 186.03/30.42  | | | | | | | | 
% 186.03/30.42  | | | | | | | Case 2:
% 186.03/30.42  | | | | | | | | 
% 186.03/30.42  | | | | | | | |   (67)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 &
% 186.03/30.42  | | | | | | | |           op(e0, e3) = e0)
% 186.03/30.42  | | | | | | | | 
% 186.03/30.42  | | | | | | | | BETA: splitting (67) gives:
% 186.03/30.42  | | | | | | | | 
% 186.03/30.42  | | | | | | | | Case 1:
% 186.03/30.42  | | | | | | | | | 
% 186.03/30.42  | | | | | | | | |   (68)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.42  | | | | | | | | | 
% 186.03/30.42  | | | | | | | | | ALPHA: (68) implies:
% 186.03/30.42  | | | | | | | | |   (69)  op(e1, e3) = e0
% 186.03/30.42  | | | | | | | | | 
% 186.03/30.42  | | | | | | | | | REF_CLOSE: (5), (12), (60), (69) are inconsistent by sub-proof
% 186.03/30.42  | | | | | | | | |            #1536.
% 186.03/30.42  | | | | | | | | | 
% 186.03/30.42  | | | | | | | | Case 2:
% 186.03/30.42  | | | | | | | | | 
% 186.03/30.42  | | | | | | | | |   (70)  all_56_12 = e0 & op(e0, e3) = e0
% 186.03/30.42  | | | | | | | | | 
% 186.03/30.42  | | | | | | | | | REF_CLOSE: (1), (9), (12), (13), (16), (17), (18), (21), (22),
% 186.03/30.42  | | | | | | | | |            (28), (70) are inconsistent by sub-proof #969.
% 186.03/30.42  | | | | | | | | | 
% 186.03/30.42  | | | | | | | | End of split
% 186.03/30.42  | | | | | | | | 
% 186.03/30.42  | | | | | | | End of split
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | End of split
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | Case 2:
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | |   (71)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0,
% 186.03/30.42  | | | | | |             e3) = e1)
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | | BETA: splitting (71) gives:
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | | Case 1:
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | |   (72)  all_56_6 = e1 & op(e1, e3) = e1
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | REF_CLOSE: (10), (59), (72) are inconsistent by sub-proof #1227.
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | Case 2:
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | |   (73)  all_56_12 = e1 & op(e0, e3) = e1
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | ALPHA: (73) implies:
% 186.03/30.42  | | | | | | |   (74)  all_56_12 = e1
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | | REF_CLOSE: (13), (22), (74) are inconsistent by sub-proof #1383.
% 186.03/30.42  | | | | | | | 
% 186.03/30.42  | | | | | | End of split
% 186.03/30.42  | | | | | | 
% 186.03/30.42  | | | | | End of split
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | Case 2:
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | |   (75)  all_56_12 = e3 & op(e0, e3) = e3
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | | REF_CLOSE: (13), (18), (75) are inconsistent by sub-proof #1074.
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | End of split
% 186.03/30.42  | | | | 
% 186.03/30.42  | | | End of split
% 186.03/30.42  | | | 
% 186.03/30.42  | | End of split
% 186.03/30.42  | | 
% 186.03/30.42  | Case 2:
% 186.03/30.42  | | 
% 186.03/30.42  | |   (76)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 186.03/30.42  | |           e1)
% 186.03/30.42  | | 
% 186.03/30.42  | | BETA: splitting (76) gives:
% 186.03/30.42  | | 
% 186.03/30.42  | | Case 1:
% 186.03/30.42  | | | 
% 186.03/30.42  | | |   (77)  all_56_4 = e1 & op(e3, e1) = e1
% 186.03/30.42  | | | 
% 186.03/30.42  | | | ALPHA: (77) implies:
% 186.03/30.42  | | |   (78)  all_56_4 = e1
% 186.03/30.42  | | | 
% 186.03/30.42  | | | REF_CLOSE: (10), (16), (78) are inconsistent by sub-proof #1567.
% 186.03/30.42  | | | 
% 186.03/30.42  | | Case 2:
% 186.03/30.42  | | | 
% 186.03/30.42  | | |   (79)  all_56_9 = e1 & op(e3, e0) = e1
% 186.03/30.42  | | | 
% 186.03/30.42  | | | REF_CLOSE: (1), (22), (79) are inconsistent by sub-proof #1565.
% 186.03/30.42  | | | 
% 186.03/30.42  | | End of split
% 186.03/30.42  | | 
% 186.03/30.42  | End of split
% 186.03/30.42  | 
% 186.03/30.42  End of proof
% 186.03/30.42  
% 186.03/30.42  Sub-proof #969 shows that the following formulas are inconsistent:
% 186.03/30.42  ----------------------------------------------------------------
% 186.03/30.42    (1)  all_56_9 = e2
% 186.03/30.42    (2)   ~ (e2 = e0)
% 186.03/30.42    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.42           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.42    (4)  all_56_12 = e2
% 186.03/30.42    (5)  all_56_4 = e3
% 186.03/30.42    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.03/30.42         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.03/30.42    (7)  all_56_12 = e0 & op(e0, e3) = e0
% 186.03/30.42    (8)   ~ (e3 = e2)
% 186.03/30.42    (9)  all_56_1 = e1
% 186.03/30.42    (10)  op(e3, e3) = e3
% 186.03/30.42    (11)   ~ (e2 = e1)
% 186.03/30.42  
% 186.03/30.42  Begin of proof
% 186.03/30.42  | 
% 186.03/30.42  | ALPHA: (7) implies:
% 186.03/30.42  |   (12)  all_56_12 = e0
% 186.03/30.42  | 
% 186.03/30.42  | COMBINE_EQS: (4), (12) imply:
% 186.03/30.42  |   (13)  e2 = e0
% 186.03/30.42  | 
% 186.03/30.42  | SIMP: (13) implies:
% 186.03/30.42  |   (14)  e2 = e0
% 186.03/30.42  | 
% 186.03/30.42  | COMBINE_EQS: (1), (14) imply:
% 186.03/30.42  |   (15)  all_56_9 = e0
% 186.03/30.42  | 
% 186.03/30.42  | REF_CLOSE: (2), (3), (5), (6), (8), (9), (10), (11), (15) are inconsistent by
% 186.03/30.42  |            sub-proof #970.
% 186.03/30.42  | 
% 186.03/30.42  End of proof
% 186.03/30.42  
% 186.03/30.42  Sub-proof #970 shows that the following formulas are inconsistent:
% 186.03/30.42  ----------------------------------------------------------------
% 186.03/30.42    (1)   ~ (e2 = e0)
% 186.03/30.42    (2)  all_56_9 = e0
% 186.03/30.42    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.42           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.42    (4)  all_56_4 = e3
% 186.03/30.42    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.03/30.42         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.03/30.42    (6)   ~ (e3 = e2)
% 186.03/30.42    (7)  all_56_1 = e1
% 186.03/30.42    (8)  op(e3, e3) = e3
% 186.03/30.42    (9)   ~ (e2 = e1)
% 186.03/30.42  
% 186.03/30.42  Begin of proof
% 186.03/30.42  | 
% 186.03/30.42  | BETA: splitting (5) gives:
% 186.03/30.42  | 
% 186.03/30.42  | Case 1:
% 186.03/30.42  | | 
% 186.03/30.42  | |   (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 186.03/30.42  | |           e2)
% 186.03/30.42  | | 
% 186.03/30.42  | | REF_CLOSE: (3), (6), (7), (8), (9), (10) are inconsistent by sub-proof
% 186.03/30.42  | |            #1395.
% 186.03/30.42  | | 
% 186.03/30.42  | Case 2:
% 186.03/30.42  | | 
% 186.03/30.42  | |   (11)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 186.03/30.42  | |           e2)
% 186.03/30.42  | | 
% 186.03/30.42  | | REF_CLOSE: (1), (2), (4), (6), (11) are inconsistent by sub-proof #972.
% 186.03/30.42  | | 
% 186.03/30.42  | End of split
% 186.03/30.42  | 
% 186.03/30.42  End of proof
% 186.03/30.42  
% 186.03/30.42  Sub-proof #971 shows that the following formulas are inconsistent:
% 186.03/30.42  ----------------------------------------------------------------
% 186.03/30.42    (1)  all_56_0 = e3
% 186.03/30.42    (2)   ~ (e2 = e0)
% 186.03/30.42    (3)  all_56_9 = e0
% 186.03/30.42    (4)  all_56_4 = e3
% 186.03/30.42    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.03/30.42         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.03/30.42    (6)   ~ (e3 = e2)
% 186.03/30.42    (7)  all_56_1 = e1
% 186.03/30.42    (8)   ~ (e2 = e1)
% 186.03/30.42  
% 186.03/30.42  Begin of proof
% 186.03/30.42  | 
% 186.03/30.42  | BETA: splitting (5) gives:
% 186.03/30.42  | 
% 186.03/30.42  | Case 1:
% 186.03/30.42  | | 
% 186.03/30.42  | |   (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 186.03/30.42  | | 
% 186.03/30.42  | | BETA: splitting (9) gives:
% 186.03/30.42  | | 
% 186.03/30.42  | | Case 1:
% 186.03/30.42  | | | 
% 186.03/30.42  | | |   (10)  all_56_0 = e2 & op(e3, e3) = e2
% 186.03/30.42  | | | 
% 186.03/30.42  | | | REF_CLOSE: (1), (6), (10) are inconsistent by sub-proof #974.
% 186.03/30.42  | | | 
% 186.03/30.42  | | Case 2:
% 186.03/30.42  | | | 
% 186.03/30.42  | | |   (11)  all_56_1 = e2 & op(e3, e2) = e2
% 186.03/30.42  | | | 
% 186.03/30.42  | | | REF_CLOSE: (7), (8), (11) are inconsistent by sub-proof #1431.
% 186.03/30.42  | | | 
% 186.03/30.42  | | End of split
% 186.03/30.42  | | 
% 186.03/30.42  | Case 2:
% 186.03/30.42  | | 
% 186.03/30.42  | |   (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 186.03/30.42  | |           e2)
% 186.03/30.42  | | 
% 186.03/30.42  | | REF_CLOSE: (2), (3), (4), (6), (12) are inconsistent by sub-proof #972.
% 186.03/30.42  | | 
% 186.03/30.42  | End of split
% 186.03/30.42  | 
% 186.03/30.42  End of proof
% 186.03/30.42  
% 186.03/30.42  Sub-proof #972 shows that the following formulas are inconsistent:
% 186.03/30.42  ----------------------------------------------------------------
% 186.03/30.42    (1)   ~ (e2 = e0)
% 186.03/30.42    (2)  all_56_9 = e0
% 186.03/30.42    (3)  all_56_4 = e3
% 186.03/30.42    (4)   ~ (e3 = e2)
% 186.03/30.42    (5)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.03/30.42  
% 186.03/30.42  Begin of proof
% 186.03/30.42  | 
% 186.03/30.42  | BETA: splitting (5) gives:
% 186.03/30.42  | 
% 186.03/30.42  | Case 1:
% 186.03/30.42  | | 
% 186.03/30.42  | |   (6)  all_56_4 = e2 & op(e3, e1) = e2
% 186.03/30.42  | | 
% 186.03/30.42  | | ALPHA: (6) implies:
% 186.03/30.42  | |   (7)  all_56_4 = e2
% 186.03/30.42  | | 
% 186.03/30.42  | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #1285.
% 186.03/30.42  | | 
% 186.03/30.42  | Case 2:
% 186.03/30.42  | | 
% 186.03/30.42  | |   (8)  all_56_9 = e2 & op(e3, e0) = e2
% 186.03/30.42  | | 
% 186.03/30.42  | | REF_CLOSE: (1), (2), (8) are inconsistent by sub-proof #973.
% 186.03/30.42  | | 
% 186.03/30.42  | End of split
% 186.03/30.42  | 
% 186.03/30.42  End of proof
% 186.03/30.42  
% 186.03/30.42  Sub-proof #973 shows that the following formulas are inconsistent:
% 186.03/30.42  ----------------------------------------------------------------
% 186.03/30.42    (1)  all_56_9 = e2 & op(e3, e0) = e2
% 186.03/30.42    (2)  all_56_9 = e0
% 186.03/30.42    (3)   ~ (e2 = e0)
% 186.03/30.42  
% 186.03/30.42  Begin of proof
% 186.03/30.42  | 
% 186.03/30.42  | ALPHA: (1) implies:
% 186.03/30.42  |   (4)  all_56_9 = e2
% 186.03/30.42  | 
% 186.03/30.42  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.42  |   (5)  e2 = e0
% 186.03/30.42  | 
% 186.03/30.42  | REDUCE: (3), (5) imply:
% 186.03/30.42  |   (6)  $false
% 186.03/30.42  | 
% 186.03/30.42  | CLOSE: (6) is inconsistent.
% 186.03/30.42  | 
% 186.03/30.42  End of proof
% 186.03/30.42  
% 186.03/30.42  Sub-proof #974 shows that the following formulas are inconsistent:
% 186.03/30.42  ----------------------------------------------------------------
% 186.03/30.42    (1)  all_56_0 = e2 & op(e3, e3) = e2
% 186.03/30.42    (2)  all_56_0 = e3
% 186.03/30.42    (3)   ~ (e3 = e2)
% 186.03/30.42  
% 186.03/30.42  Begin of proof
% 186.03/30.42  | 
% 186.03/30.42  | ALPHA: (1) implies:
% 186.03/30.42  |   (4)  all_56_0 = e2
% 186.03/30.42  | 
% 186.03/30.42  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.42  |   (5)  e3 = e2
% 186.03/30.42  | 
% 186.03/30.42  | REDUCE: (3), (5) imply:
% 186.03/30.42  |   (6)  $false
% 186.03/30.42  | 
% 186.03/30.42  | CLOSE: (6) is inconsistent.
% 186.03/30.42  | 
% 186.03/30.42  End of proof
% 186.03/30.42  
% 186.03/30.42  Sub-proof #975 shows that the following formulas are inconsistent:
% 186.03/30.42  ----------------------------------------------------------------
% 186.03/30.42    (1)  op(e0, e0) = all_6_2
% 186.03/30.42    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 186.03/30.42         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.03/30.42    (3)   ~ (e1 = e0)
% 186.03/30.42    (4)   ~ (e3 = e0)
% 186.03/30.42    (5)   ~ (e2 = e0)
% 186.03/30.42    (6)   ~ (e3 = e1)
% 186.03/30.42    (7)   ~ (all_6_2 = e2)
% 186.03/30.42    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.42           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.42    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 186.03/30.42         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.03/30.42    (10)   ~ (e3 = e2)
% 186.03/30.42    (11)  op(e3, e1) = all_52_8
% 186.03/30.42    (12)  op(e1, e1) = e2
% 186.03/30.42    (13)   ~ (e2 = e1)
% 186.03/30.42    (14)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.03/30.42    (15)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 186.03/30.42          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 186.03/30.42  
% 186.03/30.42  Begin of proof
% 186.03/30.42  | 
% 186.03/30.42  | BETA: splitting (14) gives:
% 186.03/30.42  | 
% 186.03/30.42  | Case 1:
% 186.03/30.42  | | 
% 186.03/30.42  | |   (16)  all_56_14 = e2 & op(e0, e1) = e2
% 186.03/30.42  | | 
% 186.03/30.42  | | ALPHA: (16) implies:
% 186.03/30.42  | |   (17)  all_56_14 = e2
% 186.03/30.42  | | 
% 186.03/30.42  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13), (15),
% 186.03/30.42  | |            (17) are inconsistent by sub-proof #976.
% 186.03/30.42  | | 
% 186.03/30.42  | Case 2:
% 186.03/30.42  | | 
% 186.03/30.42  | |   (18)  all_56_15 = e2 & op(e0, e0) = e2
% 186.03/30.42  | | 
% 186.03/30.42  | | ALPHA: (18) implies:
% 186.03/30.42  | |   (19)  op(e0, e0) = e2
% 186.03/30.42  | | 
% 186.03/30.42  | | REF_CLOSE: (1), (7), (8), (19) are inconsistent by sub-proof #1511.
% 186.03/30.42  | | 
% 186.03/30.42  | End of split
% 186.03/30.42  | 
% 186.03/30.42  End of proof
% 186.03/30.42  
% 186.03/30.42  Sub-proof #976 shows that the following formulas are inconsistent:
% 186.03/30.42  ----------------------------------------------------------------
% 186.03/30.42    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 186.03/30.42         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.03/30.42    (2)   ~ (e1 = e0)
% 186.03/30.42    (3)   ~ (e3 = e0)
% 186.03/30.42    (4)   ~ (e2 = e0)
% 186.03/30.42    (5)   ~ (e3 = e1)
% 186.03/30.42    (6)  all_56_14 = e2
% 186.03/30.42    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.42           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.42    (8)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 186.03/30.42         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.03/30.42    (9)   ~ (e3 = e2)
% 186.03/30.42    (10)  op(e3, e1) = all_52_8
% 186.03/30.42    (11)  op(e1, e1) = e2
% 186.03/30.42    (12)   ~ (e2 = e1)
% 186.03/30.42    (13)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 186.03/30.42          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 186.03/30.42  
% 186.03/30.42  Begin of proof
% 186.03/30.42  | 
% 186.03/30.42  | BETA: splitting (13) gives:
% 186.03/30.42  | 
% 186.03/30.42  | Case 1:
% 186.03/30.42  | | 
% 186.03/30.42  | |   (14)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 186.03/30.42  | |           e1)
% 186.03/30.42  | | 
% 186.03/30.42  | | BETA: splitting (14) gives:
% 186.03/30.42  | | 
% 186.03/30.42  | | Case 1:
% 186.03/30.42  | | | 
% 186.03/30.42  | | |   (15)  all_56_4 = e1 & op(e3, e1) = e1
% 186.03/30.42  | | | 
% 186.03/30.42  | | | ALPHA: (15) implies:
% 186.03/30.42  | | |   (16)  all_56_4 = e1
% 186.03/30.42  | | |   (17)  op(e3, e1) = e1
% 186.03/30.42  | | | 
% 186.03/30.42  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (16), (17)
% 186.03/30.42  | | |            are inconsistent by sub-proof #982.
% 186.03/30.42  | | | 
% 186.03/30.42  | | Case 2:
% 186.03/30.42  | | | 
% 186.03/30.42  | | |   (18)  all_56_5 = e1 & op(e2, e1) = e1
% 186.03/30.42  | | | 
% 186.03/30.42  | | | ALPHA: (18) implies:
% 186.03/30.42  | | |   (19)  all_56_5 = e1
% 186.03/30.42  | | | 
% 186.03/30.42  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 186.03/30.42  | | |            (13), (19) are inconsistent by sub-proof #977.
% 186.03/30.42  | | | 
% 186.03/30.42  | | End of split
% 186.03/30.42  | | 
% 186.03/30.42  | Case 2:
% 186.03/30.42  | | 
% 186.03/30.42  | |   (20)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 186.03/30.42  | |           e1)
% 186.03/30.42  | | 
% 186.03/30.42  | | BETA: splitting (20) gives:
% 186.03/30.42  | | 
% 186.03/30.42  | | Case 1:
% 186.03/30.42  | | | 
% 186.03/30.42  | | |   (21)  all_56_8 = e1 & op(e1, e1) = e1
% 186.03/30.42  | | | 
% 186.03/30.42  | | | ALPHA: (21) implies:
% 186.03/30.42  | | |   (22)  op(e1, e1) = e1
% 186.03/30.42  | | | 
% 186.03/30.42  | | | REF_CLOSE: (7), (11), (12), (22) are inconsistent by sub-proof #1473.
% 186.03/30.42  | | | 
% 186.03/30.42  | | Case 2:
% 186.03/30.42  | | | 
% 186.03/30.42  | | |   (23)  all_56_14 = e1 & op(e0, e1) = e1
% 186.03/30.42  | | | 
% 186.03/30.42  | | | ALPHA: (23) implies:
% 186.03/30.42  | | |   (24)  all_56_14 = e1
% 186.03/30.42  | | | 
% 186.03/30.42  | | | REF_CLOSE: (6), (12), (24) are inconsistent by sub-proof #1118.
% 186.03/30.42  | | | 
% 186.03/30.42  | | End of split
% 186.03/30.42  | | 
% 186.03/30.42  | End of split
% 186.03/30.42  | 
% 186.03/30.42  End of proof
% 186.03/30.42  
% 186.03/30.42  Sub-proof #977 shows that the following formulas are inconsistent:
% 186.03/30.42  ----------------------------------------------------------------
% 186.03/30.42    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 186.03/30.42         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.03/30.42    (2)   ~ (e1 = e0)
% 186.03/30.42    (3)   ~ (e3 = e0)
% 186.03/30.42    (4)   ~ (e2 = e0)
% 186.03/30.42    (5)   ~ (e3 = e1)
% 186.03/30.42    (6)  all_56_14 = e2
% 186.03/30.42    (7)  all_56_5 = e1
% 186.03/30.42    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.42           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.42    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 186.03/30.42         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.03/30.42    (10)   ~ (e3 = e2)
% 186.03/30.42    (11)  op(e3, e1) = all_52_8
% 186.03/30.42    (12)  op(e1, e1) = e2
% 186.03/30.42    (13)   ~ (e2 = e1)
% 186.03/30.42    (14)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 186.03/30.42          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 186.03/30.42  
% 186.03/30.42  Begin of proof
% 186.03/30.42  | 
% 186.03/30.42  | BETA: splitting (1) gives:
% 186.03/30.42  | 
% 186.03/30.42  | Case 1:
% 186.03/30.42  | | 
% 186.03/30.42  | |   (15)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 186.03/30.42  | |           e3)
% 186.03/30.42  | | 
% 186.03/30.42  | | BETA: splitting (15) gives:
% 186.03/30.42  | | 
% 186.03/30.42  | | Case 1:
% 186.03/30.42  | | | 
% 186.03/30.42  | | |   (16)  all_56_4 = e3 & op(e3, e1) = e3
% 186.03/30.42  | | | 
% 186.03/30.42  | | | ALPHA: (16) implies:
% 186.03/30.42  | | |   (17)  op(e3, e1) = e3
% 186.03/30.42  | | | 
% 186.03/30.42  | | | BETA: splitting (9) gives:
% 186.03/30.42  | | | 
% 186.03/30.42  | | | Case 1:
% 186.03/30.42  | | | | 
% 186.03/30.42  | | | |   (18)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1)
% 186.03/30.42  | | | |           = e0)
% 186.03/30.42  | | | | 
% 186.03/30.42  | | | | BETA: splitting (18) gives:
% 186.03/30.42  | | | | 
% 186.03/30.42  | | | | Case 1:
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | |   (19)  all_56_4 = e0 & op(e3, e1) = e0
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | | ALPHA: (19) implies:
% 186.03/30.42  | | | | |   (20)  op(e3, e1) = e0
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | | REF_CLOSE: (3), (8), (11), (17), (20) are inconsistent by sub-proof
% 186.03/30.42  | | | | |            #1577.
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | Case 2:
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | |   (21)  all_56_5 = e0 & op(e2, e1) = e0
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | | ALPHA: (21) implies:
% 186.03/30.42  | | | | |   (22)  all_56_5 = e0
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | | REF_CLOSE: (2), (7), (22) are inconsistent by sub-proof #981.
% 186.03/30.42  | | | | | 
% 186.03/30.42  | | | | End of split
% 186.03/30.42  | | | | 
% 186.03/30.42  | | | Case 2:
% 186.03/30.42  | | | | 
% 186.03/30.42  | | | |   (23)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1)
% 186.03/30.42  | | | |           = e0)
% 186.03/30.42  | | | | 
% 186.03/30.42  | | | | REF_CLOSE: (4), (6), (8), (12), (23) are inconsistent by sub-proof #984.
% 186.03/30.42  | | | | 
% 186.03/30.42  | | | End of split
% 186.03/30.42  | | | 
% 186.03/30.42  | | Case 2:
% 186.03/30.42  | | | 
% 186.03/30.42  | | |   (24)  all_56_5 = e3 & op(e2, e1) = e3
% 186.03/30.42  | | | 
% 186.03/30.42  | | | ALPHA: (24) implies:
% 186.03/30.42  | | |   (25)  all_56_5 = e3
% 186.03/30.42  | | |   (26)  op(e2, e1) = e3
% 186.03/30.42  | | | 
% 186.03/30.42  | | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (12), (13), (14), (25), (26)
% 186.03/30.42  | | |            are inconsistent by sub-proof #979.
% 186.03/30.42  | | | 
% 186.03/30.42  | | End of split
% 186.03/30.42  | | 
% 186.03/30.42  | Case 2:
% 186.03/30.42  | | 
% 186.03/30.42  | |   (27)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 186.03/30.42  | |           e3)
% 186.03/30.42  | | 
% 186.03/30.42  | | REF_CLOSE: (6), (8), (10), (12), (27) are inconsistent by sub-proof #978.
% 186.03/30.42  | | 
% 186.03/30.42  | End of split
% 186.03/30.42  | 
% 186.03/30.42  End of proof
% 186.03/30.42  
% 186.03/30.42  Sub-proof #978 shows that the following formulas are inconsistent:
% 186.03/30.42  ----------------------------------------------------------------
% 186.03/30.42    (1)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.03/30.42    (2)  all_56_14 = e2
% 186.03/30.42    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.42           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.42    (4)   ~ (e3 = e2)
% 186.03/30.42    (5)  op(e1, e1) = e2
% 186.03/30.42  
% 186.03/30.42  Begin of proof
% 186.03/30.42  | 
% 186.03/30.42  | BETA: splitting (1) gives:
% 186.03/30.42  | 
% 186.03/30.42  | Case 1:
% 186.03/30.42  | | 
% 186.03/30.42  | |   (6)  all_56_8 = e3 & op(e1, e1) = e3
% 186.03/30.43  | | 
% 186.03/30.43  | | ALPHA: (6) implies:
% 186.03/30.43  | |   (7)  op(e1, e1) = e3
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (3), (4), (5), (7) are inconsistent by sub-proof #1164.
% 186.03/30.43  | | 
% 186.03/30.43  | Case 2:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (8)  all_56_14 = e3 & op(e0, e1) = e3
% 186.03/30.43  | | 
% 186.03/30.43  | | ALPHA: (8) implies:
% 186.03/30.43  | |   (9)  all_56_14 = e3
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #1512.
% 186.03/30.43  | | 
% 186.03/30.43  | End of split
% 186.03/30.43  | 
% 186.03/30.43  End of proof
% 186.03/30.43  
% 186.03/30.43  Sub-proof #979 shows that the following formulas are inconsistent:
% 186.03/30.43  ----------------------------------------------------------------
% 186.03/30.43    (1)   ~ (e1 = e0)
% 186.03/30.43    (2)   ~ (e3 = e0)
% 186.03/30.43    (3)  all_56_5 = e3
% 186.03/30.43    (4)   ~ (e2 = e0)
% 186.03/30.43    (5)   ~ (e3 = e1)
% 186.03/30.43    (6)  all_56_14 = e2
% 186.03/30.43    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.43    (8)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 186.03/30.43         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.03/30.43    (9)  op(e2, e1) = e3
% 186.03/30.43    (10)  op(e1, e1) = e2
% 186.03/30.43    (11)   ~ (e2 = e1)
% 186.03/30.43    (12)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 186.03/30.43          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 186.03/30.43  
% 186.03/30.43  Begin of proof
% 186.03/30.43  | 
% 186.03/30.43  | BETA: splitting (12) gives:
% 186.03/30.43  | 
% 186.03/30.43  | Case 1:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (13)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 186.03/30.43  | |           e1)
% 186.03/30.43  | | 
% 186.03/30.43  | | BETA: splitting (13) gives:
% 186.03/30.43  | | 
% 186.03/30.43  | | Case 1:
% 186.03/30.43  | | | 
% 186.03/30.43  | | |   (14)  all_56_4 = e1 & op(e3, e1) = e1
% 186.03/30.43  | | | 
% 186.03/30.43  | | | ALPHA: (14) implies:
% 186.03/30.43  | | |   (15)  op(e3, e1) = e1
% 186.03/30.43  | | | 
% 186.03/30.43  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (10), (15) are inconsistent
% 186.03/30.43  | | |            by sub-proof #980.
% 186.03/30.43  | | | 
% 186.03/30.43  | | Case 2:
% 186.03/30.43  | | | 
% 186.03/30.43  | | |   (16)  all_56_5 = e1 & op(e2, e1) = e1
% 186.03/30.43  | | | 
% 186.03/30.43  | | | ALPHA: (16) implies:
% 186.03/30.43  | | |   (17)  op(e2, e1) = e1
% 186.03/30.43  | | | 
% 186.03/30.43  | | | REF_CLOSE: (5), (7), (9), (17) are inconsistent by sub-proof #1456.
% 186.03/30.43  | | | 
% 186.03/30.43  | | End of split
% 186.03/30.43  | | 
% 186.03/30.43  | Case 2:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (18)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 186.03/30.43  | |           e1)
% 186.03/30.43  | | 
% 186.03/30.43  | | BETA: splitting (18) gives:
% 186.03/30.43  | | 
% 186.03/30.43  | | Case 1:
% 186.03/30.43  | | | 
% 186.03/30.43  | | |   (19)  all_56_8 = e1 & op(e1, e1) = e1
% 186.03/30.43  | | | 
% 186.03/30.43  | | | ALPHA: (19) implies:
% 186.03/30.43  | | |   (20)  op(e1, e1) = e1
% 186.03/30.43  | | | 
% 186.03/30.43  | | | REF_CLOSE: (7), (10), (11), (20) are inconsistent by sub-proof #1473.
% 186.03/30.43  | | | 
% 186.03/30.43  | | Case 2:
% 186.03/30.43  | | | 
% 186.03/30.43  | | |   (21)  all_56_14 = e1 & op(e0, e1) = e1
% 186.03/30.43  | | | 
% 186.03/30.43  | | | REF_CLOSE: (6), (11), (21) are inconsistent by sub-proof #1459.
% 186.03/30.43  | | | 
% 186.03/30.43  | | End of split
% 186.03/30.43  | | 
% 186.03/30.43  | End of split
% 186.03/30.43  | 
% 186.03/30.43  End of proof
% 186.03/30.43  
% 186.03/30.43  Sub-proof #980 shows that the following formulas are inconsistent:
% 186.03/30.43  ----------------------------------------------------------------
% 186.03/30.43    (1)  op(e3, e1) = e1
% 186.03/30.43    (2)   ~ (e1 = e0)
% 186.03/30.43    (3)   ~ (e3 = e0)
% 186.03/30.43    (4)  all_56_5 = e3
% 186.03/30.43    (5)   ~ (e2 = e0)
% 186.03/30.43    (6)  all_56_14 = e2
% 186.03/30.43    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.43    (8)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 186.03/30.43         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.03/30.43    (9)  op(e1, e1) = e2
% 186.03/30.43  
% 186.03/30.43  Begin of proof
% 186.03/30.43  | 
% 186.03/30.43  | BETA: splitting (8) gives:
% 186.03/30.43  | 
% 186.03/30.43  | Case 1:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (10)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 186.03/30.43  | |           e0)
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (1), (2), (3), (4), (7), (10) are inconsistent by sub-proof #985.
% 186.03/30.43  | | 
% 186.03/30.43  | Case 2:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (11)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 186.03/30.43  | |           e0)
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (5), (6), (7), (9), (11) are inconsistent by sub-proof #984.
% 186.03/30.43  | | 
% 186.03/30.43  | End of split
% 186.03/30.43  | 
% 186.03/30.43  End of proof
% 186.03/30.43  
% 186.03/30.43  Sub-proof #981 shows that the following formulas are inconsistent:
% 186.03/30.43  ----------------------------------------------------------------
% 186.03/30.43    (1)  all_56_5 = e1
% 186.03/30.43    (2)  all_56_5 = e0
% 186.03/30.43    (3)   ~ (e1 = e0)
% 186.03/30.43  
% 186.03/30.43  Begin of proof
% 186.03/30.43  | 
% 186.03/30.43  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.43  |   (4)  e1 = e0
% 186.03/30.43  | 
% 186.03/30.43  | SIMP: (4) implies:
% 186.03/30.43  |   (5)  e1 = e0
% 186.03/30.43  | 
% 186.03/30.43  | REDUCE: (3), (5) imply:
% 186.03/30.43  |   (6)  $false
% 186.03/30.43  | 
% 186.03/30.43  | CLOSE: (6) is inconsistent.
% 186.03/30.43  | 
% 186.03/30.43  End of proof
% 186.03/30.43  
% 186.03/30.43  Sub-proof #982 shows that the following formulas are inconsistent:
% 186.03/30.43  ----------------------------------------------------------------
% 186.03/30.43    (1)  op(e3, e1) = e1
% 186.03/30.43    (2)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 186.03/30.43         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.03/30.43    (3)   ~ (e1 = e0)
% 186.03/30.43    (4)   ~ (e3 = e0)
% 186.03/30.43    (5)   ~ (e2 = e0)
% 186.03/30.43    (6)   ~ (e3 = e1)
% 186.03/30.43    (7)  all_56_14 = e2
% 186.03/30.43    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.43    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 186.03/30.43         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.03/30.43    (10)  all_56_4 = e1
% 186.03/30.43    (11)   ~ (e3 = e2)
% 186.03/30.43    (12)  op(e1, e1) = e2
% 186.03/30.43  
% 186.03/30.43  Begin of proof
% 186.03/30.43  | 
% 186.03/30.43  | BETA: splitting (2) gives:
% 186.03/30.43  | 
% 186.03/30.43  | Case 1:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (13)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 186.03/30.43  | |           e3)
% 186.03/30.43  | | 
% 186.03/30.43  | | BETA: splitting (13) gives:
% 186.03/30.43  | | 
% 186.03/30.43  | | Case 1:
% 186.03/30.43  | | | 
% 186.03/30.43  | | |   (14)  all_56_4 = e3 & op(e3, e1) = e3
% 186.03/30.43  | | | 
% 186.03/30.43  | | | REF_CLOSE: (6), (10), (14) are inconsistent by sub-proof #987.
% 186.03/30.43  | | | 
% 186.03/30.43  | | Case 2:
% 186.03/30.43  | | | 
% 186.03/30.43  | | |   (15)  all_56_5 = e3 & op(e2, e1) = e3
% 186.03/30.43  | | | 
% 186.03/30.43  | | | ALPHA: (15) implies:
% 186.03/30.43  | | |   (16)  all_56_5 = e3
% 186.03/30.43  | | | 
% 186.03/30.43  | | | BETA: splitting (9) gives:
% 186.03/30.43  | | | 
% 186.03/30.43  | | | Case 1:
% 186.03/30.43  | | | | 
% 186.03/30.43  | | | |   (17)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1)
% 186.03/30.43  | | | |           = e0)
% 186.03/30.43  | | | | 
% 186.03/30.43  | | | | REF_CLOSE: (1), (3), (4), (8), (16), (17) are inconsistent by sub-proof
% 186.03/30.43  | | | |            #985.
% 186.03/30.43  | | | | 
% 186.03/30.43  | | | Case 2:
% 186.03/30.43  | | | | 
% 186.03/30.43  | | | |   (18)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1)
% 186.03/30.43  | | | |           = e0)
% 186.03/30.43  | | | | 
% 186.03/30.43  | | | | REF_CLOSE: (5), (7), (8), (12), (18) are inconsistent by sub-proof #984.
% 186.03/30.43  | | | | 
% 186.03/30.43  | | | End of split
% 186.03/30.43  | | | 
% 186.03/30.43  | | End of split
% 186.03/30.43  | | 
% 186.03/30.43  | Case 2:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (19)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 186.03/30.43  | |           e3)
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (7), (8), (11), (12), (19) are inconsistent by sub-proof #983.
% 186.03/30.43  | | 
% 186.03/30.43  | End of split
% 186.03/30.43  | 
% 186.03/30.43  End of proof
% 186.03/30.43  
% 186.03/30.43  Sub-proof #983 shows that the following formulas are inconsistent:
% 186.03/30.43  ----------------------------------------------------------------
% 186.03/30.43    (1)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.03/30.43    (2)  all_56_14 = e2
% 186.03/30.43    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.43    (4)   ~ (e3 = e2)
% 186.03/30.43    (5)  op(e1, e1) = e2
% 186.03/30.43  
% 186.03/30.43  Begin of proof
% 186.03/30.43  | 
% 186.03/30.43  | BETA: splitting (1) gives:
% 186.03/30.43  | 
% 186.03/30.43  | Case 1:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (6)  all_56_8 = e3 & op(e1, e1) = e3
% 186.03/30.43  | | 
% 186.03/30.43  | | ALPHA: (6) implies:
% 186.03/30.43  | |   (7)  op(e1, e1) = e3
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (3), (4), (5), (7) are inconsistent by sub-proof #1164.
% 186.03/30.43  | | 
% 186.03/30.43  | Case 2:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (8)  all_56_14 = e3 & op(e0, e1) = e3
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (2), (4), (8) are inconsistent by sub-proof #1275.
% 186.03/30.43  | | 
% 186.03/30.43  | End of split
% 186.03/30.43  | 
% 186.03/30.43  End of proof
% 186.03/30.43  
% 186.03/30.43  Sub-proof #984 shows that the following formulas are inconsistent:
% 186.03/30.43  ----------------------------------------------------------------
% 186.03/30.43    (1)   ~ (e2 = e0)
% 186.03/30.43    (2)  all_56_14 = e2
% 186.03/30.43    (3)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.03/30.43    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.43    (5)  op(e1, e1) = e2
% 186.03/30.43  
% 186.03/30.43  Begin of proof
% 186.03/30.43  | 
% 186.03/30.43  | BETA: splitting (3) gives:
% 186.03/30.43  | 
% 186.03/30.43  | Case 1:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (6)  all_56_8 = e0 & op(e1, e1) = e0
% 186.03/30.43  | | 
% 186.03/30.43  | | ALPHA: (6) implies:
% 186.03/30.43  | |   (7)  op(e1, e1) = e0
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (1), (4), (5), (7) are inconsistent by sub-proof #1230.
% 186.03/30.43  | | 
% 186.03/30.43  | Case 2:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (8)  all_56_14 = e0 & op(e0, e1) = e0
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (1), (2), (8) are inconsistent by sub-proof #1443.
% 186.03/30.43  | | 
% 186.03/30.43  | End of split
% 186.03/30.43  | 
% 186.03/30.43  End of proof
% 186.03/30.43  
% 186.03/30.43  Sub-proof #985 shows that the following formulas are inconsistent:
% 186.03/30.43  ----------------------------------------------------------------
% 186.03/30.43    (1)  op(e3, e1) = e1
% 186.03/30.43    (2)   ~ (e1 = e0)
% 186.03/30.43    (3)   ~ (e3 = e0)
% 186.03/30.43    (4)  all_56_5 = e3
% 186.03/30.43    (5)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0)
% 186.03/30.43    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.43  
% 186.03/30.43  Begin of proof
% 186.03/30.43  | 
% 186.03/30.43  | BETA: splitting (5) gives:
% 186.03/30.43  | 
% 186.03/30.43  | Case 1:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (7)  all_56_4 = e0 & op(e3, e1) = e0
% 186.03/30.43  | | 
% 186.03/30.43  | | ALPHA: (7) implies:
% 186.03/30.43  | |   (8)  op(e3, e1) = e0
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1571.
% 186.03/30.43  | | 
% 186.03/30.43  | Case 2:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (9)  all_56_5 = e0 & op(e2, e1) = e0
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (3), (4), (9) are inconsistent by sub-proof #986.
% 186.03/30.43  | | 
% 186.03/30.43  | End of split
% 186.03/30.43  | 
% 186.03/30.43  End of proof
% 186.03/30.43  
% 186.03/30.43  Sub-proof #986 shows that the following formulas are inconsistent:
% 186.03/30.43  ----------------------------------------------------------------
% 186.03/30.43    (1)  all_56_5 = e0 & op(e2, e1) = e0
% 186.03/30.43    (2)  all_56_5 = e3
% 186.03/30.43    (3)   ~ (e3 = e0)
% 186.03/30.43  
% 186.03/30.43  Begin of proof
% 186.03/30.43  | 
% 186.03/30.43  | ALPHA: (1) implies:
% 186.03/30.43  |   (4)  all_56_5 = e0
% 186.03/30.43  | 
% 186.03/30.43  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.43  |   (5)  e3 = e0
% 186.03/30.43  | 
% 186.03/30.43  | REDUCE: (3), (5) imply:
% 186.03/30.43  |   (6)  $false
% 186.03/30.43  | 
% 186.03/30.43  | CLOSE: (6) is inconsistent.
% 186.03/30.43  | 
% 186.03/30.43  End of proof
% 186.03/30.43  
% 186.03/30.43  Sub-proof #987 shows that the following formulas are inconsistent:
% 186.03/30.43  ----------------------------------------------------------------
% 186.03/30.43    (1)  all_56_4 = e3 & op(e3, e1) = e3
% 186.03/30.43    (2)  all_56_4 = e1
% 186.03/30.43    (3)   ~ (e3 = e1)
% 186.03/30.43  
% 186.03/30.43  Begin of proof
% 186.03/30.43  | 
% 186.03/30.43  | ALPHA: (1) implies:
% 186.03/30.43  |   (4)  all_56_4 = e3
% 186.03/30.43  | 
% 186.03/30.43  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.43  |   (5)  e3 = e1
% 186.03/30.43  | 
% 186.03/30.43  | REDUCE: (3), (5) imply:
% 186.03/30.43  |   (6)  $false
% 186.03/30.43  | 
% 186.03/30.43  | CLOSE: (6) is inconsistent.
% 186.03/30.43  | 
% 186.03/30.43  End of proof
% 186.03/30.43  
% 186.03/30.43  Sub-proof #988 shows that the following formulas are inconsistent:
% 186.03/30.43  ----------------------------------------------------------------
% 186.03/30.43    (1)   ~ (all_4_2 = e0)
% 186.03/30.43    (2)   ~ (e1 = e0)
% 186.03/30.43    (3)  all_56_2 = e2
% 186.03/30.43    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.03/30.43         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.03/30.43    (5)   ~ (e2 = e0)
% 186.03/30.43    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.43    (7)  all_56_12 = e2
% 186.03/30.43    (8)  op(e2, e3) = e2
% 186.03/30.43    (9)  op(e3, e3) = all_4_2
% 186.03/30.43    (10)   ~ (e2 = e1)
% 186.03/30.43    (11)   ~ (all_4_2 = e1)
% 186.03/30.43    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.43          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.43  
% 186.03/30.43  Begin of proof
% 186.03/30.43  | 
% 186.03/30.43  | BETA: splitting (4) gives:
% 186.03/30.43  | 
% 186.03/30.43  | Case 1:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (13)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 186.03/30.43  | |           e1)
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (3), (6), (9), (10), (11), (13) are inconsistent by sub-proof
% 186.03/30.43  | |            #989.
% 186.03/30.43  | | 
% 186.03/30.43  | Case 2:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (14)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 186.03/30.43  | |           e1)
% 186.03/30.43  | | 
% 186.03/30.43  | | BETA: splitting (14) gives:
% 186.03/30.43  | | 
% 186.03/30.43  | | Case 1:
% 186.03/30.43  | | | 
% 186.03/30.43  | | |   (15)  all_56_6 = e1 & op(e1, e3) = e1
% 186.03/30.43  | | | 
% 186.03/30.43  | | | ALPHA: (15) implies:
% 186.03/30.43  | | |   (16)  op(e1, e3) = e1
% 186.03/30.43  | | | 
% 186.03/30.43  | | | REF_CLOSE: (1), (2), (5), (6), (7), (8), (9), (12), (16) are inconsistent
% 186.03/30.43  | | |            by sub-proof #1180.
% 186.03/30.43  | | | 
% 186.03/30.43  | | Case 2:
% 186.03/30.43  | | | 
% 186.03/30.43  | | |   (17)  all_56_12 = e1 & op(e0, e3) = e1
% 186.03/30.43  | | | 
% 186.03/30.43  | | | REF_CLOSE: (7), (10), (17) are inconsistent by sub-proof #1550.
% 186.03/30.43  | | | 
% 186.03/30.43  | | End of split
% 186.03/30.43  | | 
% 186.03/30.43  | End of split
% 186.03/30.43  | 
% 186.03/30.43  End of proof
% 186.03/30.43  
% 186.03/30.43  Sub-proof #989 shows that the following formulas are inconsistent:
% 186.03/30.43  ----------------------------------------------------------------
% 186.03/30.43    (1)  all_56_2 = e2
% 186.03/30.43    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.43    (3)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 186.03/30.43    (4)  op(e3, e3) = all_4_2
% 186.03/30.43    (5)   ~ (e2 = e1)
% 186.03/30.43    (6)   ~ (all_4_2 = e1)
% 186.03/30.43  
% 186.03/30.43  Begin of proof
% 186.03/30.43  | 
% 186.03/30.43  | BETA: splitting (3) gives:
% 186.03/30.43  | 
% 186.03/30.43  | Case 1:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 186.03/30.43  | | 
% 186.03/30.43  | | ALPHA: (7) implies:
% 186.03/30.43  | |   (8)  op(e3, e3) = e1
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1525.
% 186.03/30.43  | | 
% 186.03/30.43  | Case 2:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (9)  all_56_2 = e1 & op(e2, e3) = e1
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (1), (5), (9) are inconsistent by sub-proof #1416.
% 186.03/30.43  | | 
% 186.03/30.43  | End of split
% 186.03/30.43  | 
% 186.03/30.43  End of proof
% 186.03/30.43  
% 186.03/30.43  Sub-proof #990 shows that the following formulas are inconsistent:
% 186.03/30.43  ----------------------------------------------------------------
% 186.03/30.43    (1)  all_56_7 = e3 & op(e1, e2) = e3
% 186.03/30.43    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.43    (3)  op(e1, e2) = all_52_6
% 186.03/30.43    (4)   ~ (all_52_6 = e3)
% 186.03/30.43  
% 186.03/30.43  Begin of proof
% 186.03/30.43  | 
% 186.03/30.43  | ALPHA: (1) implies:
% 186.03/30.43  |   (5)  op(e1, e2) = e3
% 186.03/30.43  | 
% 186.03/30.43  | GROUND_INST: instantiating (2) with all_52_6, e3, e2, e1, simplifying with
% 186.03/30.43  |              (3), (5) gives:
% 186.03/30.43  |   (6)  all_52_6 = e3
% 186.03/30.43  | 
% 186.03/30.43  | REDUCE: (4), (6) imply:
% 186.03/30.43  |   (7)  $false
% 186.03/30.43  | 
% 186.03/30.43  | CLOSE: (7) is inconsistent.
% 186.03/30.43  | 
% 186.03/30.43  End of proof
% 186.03/30.43  
% 186.03/30.43  Sub-proof #991 shows that the following formulas are inconsistent:
% 186.03/30.43  ----------------------------------------------------------------
% 186.03/30.43    (1)  op(e0, e0) = all_6_2
% 186.03/30.43    (2)   ~ (all_4_2 = e0)
% 186.03/30.43    (3)   ~ (all_6_2 = e1)
% 186.03/30.43    (4)   ~ (e1 = e0)
% 186.03/30.43    (5)   ~ (e3 = e0)
% 186.03/30.43    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.03/30.43         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.03/30.43    (7)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.03/30.43         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.03/30.43    (8)   ~ (e2 = e0)
% 186.03/30.43    (9)   ~ (e3 = e1)
% 186.03/30.43    (10)   ~ (all_6_2 = e2)
% 186.03/30.43    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.43            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.43    (12)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.03/30.43          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.43            e1)
% 186.03/30.43    (13)   ~ (e3 = e2)
% 186.03/30.43    (14)  all_56_2 = e3 & op(e2, e3) = e3
% 186.03/30.43    (15)  op(e3, e3) = all_4_2
% 186.03/30.43    (16)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.03/30.43          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.03/30.43            e3)
% 186.03/30.43    (17)   ~ (all_52_7 = e2)
% 186.03/30.43    (18)  op(e3, e3) = e3
% 186.03/30.43    (19)   ~ (e2 = e1)
% 186.03/30.43    (20)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.03/30.43          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.43            e2)
% 186.03/30.43    (21)  op(e0, e2) = all_52_7
% 186.03/30.43    (22)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.43              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.43                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.03/30.43                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.03/30.43    (23)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.43          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.43  
% 186.03/30.43  Begin of proof
% 186.03/30.43  | 
% 186.03/30.43  | ALPHA: (14) implies:
% 186.03/30.43  |   (24)  all_56_2 = e3
% 186.03/30.43  |   (25)  op(e2, e3) = e3
% 186.03/30.43  | 
% 186.03/30.43  | BETA: splitting (20) gives:
% 186.03/30.43  | 
% 186.03/30.43  | Case 1:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (26)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 186.03/30.43  | |           e2)
% 186.03/30.43  | | 
% 186.03/30.43  | | BETA: splitting (26) gives:
% 186.03/30.43  | | 
% 186.03/30.43  | | Case 1:
% 186.03/30.43  | | | 
% 186.03/30.43  | | |   (27)  all_56_12 = e2 & op(e0, e3) = e2
% 186.03/30.43  | | | 
% 186.03/30.43  | | | ALPHA: (27) implies:
% 186.03/30.43  | | |   (28)  all_56_12 = e2
% 186.03/30.43  | | | 
% 186.03/30.43  | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (11), (13), (15), (18),
% 186.03/30.43  | | |            (19), (23), (24), (25), (28) are inconsistent by sub-proof
% 186.03/30.43  | | |            #1123.
% 186.03/30.43  | | | 
% 186.03/30.43  | | Case 2:
% 186.03/30.43  | | | 
% 186.03/30.43  | | |   (29)  all_56_13 = e2 & op(e0, e2) = e2
% 186.03/30.43  | | | 
% 186.03/30.43  | | | ALPHA: (29) implies:
% 186.03/30.43  | | |   (30)  op(e0, e2) = e2
% 186.03/30.43  | | | 
% 186.03/30.43  | | | REF_CLOSE: (11), (17), (21), (30) are inconsistent by sub-proof #1613.
% 186.03/30.43  | | | 
% 186.03/30.43  | | End of split
% 186.03/30.43  | | 
% 186.03/30.43  | Case 2:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (31)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.43  | |           e2)
% 186.03/30.43  | | 
% 186.03/30.43  | | BETA: splitting (31) gives:
% 186.03/30.43  | | 
% 186.03/30.43  | | Case 1:
% 186.03/30.43  | | | 
% 186.03/30.43  | | |   (32)  all_56_14 = e2 & op(e0, e1) = e2
% 186.03/30.43  | | | 
% 186.03/30.43  | | | ALPHA: (32) implies:
% 186.03/30.43  | | |   (33)  all_56_14 = e2
% 186.03/30.43  | | | 
% 186.03/30.43  | | | BETA: splitting (7) gives:
% 186.03/30.43  | | | 
% 186.03/30.43  | | | Case 1:
% 186.03/30.43  | | | | 
% 186.03/30.43  | | | |   (34)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3)
% 186.03/30.43  | | | |           = e1)
% 186.03/30.43  | | | | 
% 186.03/30.43  | | | | REF_CLOSE: (9), (11), (18), (24), (34) are inconsistent by sub-proof
% 186.03/30.43  | | | |            #1598.
% 186.03/30.43  | | | | 
% 186.03/30.43  | | | Case 2:
% 186.03/30.43  | | | | 
% 186.03/30.43  | | | |   (35)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3)
% 186.03/30.43  | | | |           = e1)
% 186.03/30.43  | | | | 
% 186.03/30.43  | | | | BETA: splitting (35) gives:
% 186.03/30.43  | | | | 
% 186.03/30.43  | | | | Case 1:
% 186.03/30.43  | | | | | 
% 186.03/30.43  | | | | |   (36)  all_56_6 = e1 & op(e1, e3) = e1
% 186.03/30.43  | | | | | 
% 186.03/30.43  | | | | | ALPHA: (36) implies:
% 186.03/30.43  | | | | |   (37)  all_56_6 = e1
% 186.03/30.43  | | | | | 
% 186.03/30.43  | | | | | BETA: splitting (12) gives:
% 186.03/30.43  | | | | | 
% 186.03/30.43  | | | | | Case 1:
% 186.03/30.43  | | | | | | 
% 186.03/30.43  | | | | | |   (38)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 &
% 186.03/30.43  | | | | | |           op(e0, e2) = e1)
% 186.03/30.43  | | | | | | 
% 186.03/30.43  | | | | | | BETA: splitting (38) gives:
% 186.03/30.43  | | | | | | 
% 186.03/30.43  | | | | | | Case 1:
% 186.03/30.43  | | | | | | | 
% 186.03/30.43  | | | | | | |   (39)  all_56_12 = e1 & op(e0, e3) = e1
% 186.03/30.43  | | | | | | | 
% 186.03/30.43  | | | | | | | ALPHA: (39) implies:
% 186.03/30.43  | | | | | | |   (40)  all_56_12 = e1
% 186.03/30.43  | | | | | | |   (41)  op(e0, e3) = e1
% 186.03/30.43  | | | | | | | 
% 186.03/30.43  | | | | | | | REF_CLOSE: (2), (4), (5), (6), (8), (11), (13), (15), (18), (19),
% 186.03/30.43  | | | | | | |            (23), (24), (25), (40), (41) are inconsistent by
% 186.03/30.43  | | | | | | |            sub-proof #1588.
% 186.03/30.43  | | | | | | | 
% 186.03/30.43  | | | | | | Case 2:
% 186.03/30.43  | | | | | | | 
% 186.03/30.43  | | | | | | |   (42)  all_56_13 = e1 & op(e0, e2) = e1
% 186.03/30.43  | | | | | | | 
% 186.03/30.43  | | | | | | | ALPHA: (42) implies:
% 186.03/30.43  | | | | | | |   (43)  all_56_13 = e1
% 186.03/30.43  | | | | | | | 
% 186.03/30.43  | | | | | | | BETA: splitting (6) gives:
% 186.03/30.43  | | | | | | | 
% 186.03/30.43  | | | | | | | Case 1:
% 186.03/30.43  | | | | | | | | 
% 186.03/30.43  | | | | | | | |   (44)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 &
% 186.03/30.43  | | | | | | | |           op(e2, e3) = e2)
% 186.03/30.43  | | | | | | | | 
% 186.03/30.43  | | | | | | | | REF_CLOSE: (11), (13), (18), (24), (44) are inconsistent by
% 186.03/30.43  | | | | | | | |            sub-proof #993.
% 186.03/30.43  | | | | | | | | 
% 186.03/30.43  | | | | | | | Case 2:
% 186.03/30.43  | | | | | | | | 
% 186.03/30.43  | | | | | | | |   (45)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 &
% 186.03/30.43  | | | | | | | |           op(e0, e3) = e2)
% 186.03/30.43  | | | | | | | | 
% 186.03/30.43  | | | | | | | | BETA: splitting (45) gives:
% 186.03/30.43  | | | | | | | | 
% 186.03/30.43  | | | | | | | | Case 1:
% 186.03/30.43  | | | | | | | | | 
% 186.03/30.43  | | | | | | | | |   (46)  all_56_6 = e2 & op(e1, e3) = e2
% 186.03/30.43  | | | | | | | | | 
% 186.03/30.43  | | | | | | | | | ALPHA: (46) implies:
% 186.03/30.43  | | | | | | | | |   (47)  all_56_6 = e2
% 186.03/30.43  | | | | | | | | | 
% 186.03/30.43  | | | | | | | | | REF_CLOSE: (19), (37), (47) are inconsistent by sub-proof
% 186.03/30.43  | | | | | | | | |            #1215.
% 186.03/30.43  | | | | | | | | | 
% 186.03/30.43  | | | | | | | | Case 2:
% 186.03/30.43  | | | | | | | | | 
% 186.03/30.43  | | | | | | | | |   (48)  all_56_12 = e2 & op(e0, e3) = e2
% 186.03/30.43  | | | | | | | | | 
% 186.03/30.43  | | | | | | | | | ALPHA: (48) implies:
% 186.03/30.43  | | | | | | | | |   (49)  all_56_12 = e2
% 186.03/30.43  | | | | | | | | | 
% 186.03/30.43  | | | | | | | | | REF_CLOSE: (4), (5), (8), (9), (11), (13), (16), (22), (33),
% 186.03/30.43  | | | | | | | | |            (43), (49) are inconsistent by sub-proof #1096.
% 186.03/30.43  | | | | | | | | | 
% 186.03/30.43  | | | | | | | | End of split
% 186.03/30.43  | | | | | | | | 
% 186.03/30.43  | | | | | | | End of split
% 186.03/30.43  | | | | | | | 
% 186.03/30.43  | | | | | | End of split
% 186.03/30.43  | | | | | | 
% 186.03/30.43  | | | | | Case 2:
% 186.03/30.43  | | | | | | 
% 186.03/30.43  | | | | | |   (50)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 186.03/30.43  | | | | | |           op(e0, e0) = e1)
% 186.03/30.43  | | | | | | 
% 186.03/30.43  | | | | | | REF_CLOSE: (1), (3), (11), (19), (33), (50) are inconsistent by
% 186.03/30.43  | | | | | |            sub-proof #992.
% 186.03/30.43  | | | | | | 
% 186.03/30.43  | | | | | End of split
% 186.03/30.43  | | | | | 
% 186.03/30.43  | | | | Case 2:
% 186.03/30.43  | | | | | 
% 186.03/30.43  | | | | |   (51)  all_56_12 = e1 & op(e0, e3) = e1
% 186.03/30.43  | | | | | 
% 186.03/30.43  | | | | | ALPHA: (51) implies:
% 186.03/30.43  | | | | |   (52)  all_56_12 = e1
% 186.03/30.43  | | | | |   (53)  op(e0, e3) = e1
% 186.03/30.43  | | | | | 
% 186.03/30.43  | | | | | REF_CLOSE: (2), (4), (5), (6), (8), (11), (13), (15), (18), (19),
% 186.03/30.43  | | | | |            (23), (24), (25), (52), (53) are inconsistent by sub-proof
% 186.03/30.43  | | | | |            #1588.
% 186.03/30.43  | | | | | 
% 186.03/30.43  | | | | End of split
% 186.03/30.43  | | | | 
% 186.03/30.43  | | | End of split
% 186.03/30.43  | | | 
% 186.03/30.43  | | Case 2:
% 186.03/30.43  | | | 
% 186.03/30.43  | | |   (54)  all_56_15 = e2 & op(e0, e0) = e2
% 186.03/30.43  | | | 
% 186.03/30.43  | | | ALPHA: (54) implies:
% 186.03/30.43  | | |   (55)  op(e0, e0) = e2
% 186.03/30.43  | | | 
% 186.03/30.43  | | | REF_CLOSE: (1), (10), (11), (55) are inconsistent by sub-proof #1511.
% 186.03/30.43  | | | 
% 186.03/30.43  | | End of split
% 186.03/30.43  | | 
% 186.03/30.43  | End of split
% 186.03/30.43  | 
% 186.03/30.43  End of proof
% 186.03/30.43  
% 186.03/30.43  Sub-proof #992 shows that the following formulas are inconsistent:
% 186.03/30.43  ----------------------------------------------------------------
% 186.03/30.43    (1)  op(e0, e0) = all_6_2
% 186.03/30.43    (2)   ~ (all_6_2 = e1)
% 186.03/30.43    (3)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.03/30.43    (4)  all_56_14 = e2
% 186.03/30.43    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.43    (6)   ~ (e2 = e1)
% 186.03/30.43  
% 186.03/30.43  Begin of proof
% 186.03/30.43  | 
% 186.03/30.43  | BETA: splitting (3) gives:
% 186.03/30.43  | 
% 186.03/30.43  | Case 1:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (7)  all_56_14 = e1 & op(e0, e1) = e1
% 186.03/30.43  | | 
% 186.03/30.43  | | ALPHA: (7) implies:
% 186.03/30.43  | |   (8)  all_56_14 = e1
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (4), (6), (8) are inconsistent by sub-proof #1118.
% 186.03/30.43  | | 
% 186.03/30.43  | Case 2:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (9)  all_56_15 = e1 & op(e0, e0) = e1
% 186.03/30.43  | | 
% 186.03/30.43  | | ALPHA: (9) implies:
% 186.03/30.43  | |   (10)  op(e0, e0) = e1
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1516.
% 186.03/30.43  | | 
% 186.03/30.43  | End of split
% 186.03/30.43  | 
% 186.03/30.43  End of proof
% 186.03/30.43  
% 186.03/30.43  Sub-proof #993 shows that the following formulas are inconsistent:
% 186.03/30.43  ----------------------------------------------------------------
% 186.03/30.43    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 186.03/30.43    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.43    (3)   ~ (e3 = e2)
% 186.03/30.43    (4)  all_56_2 = e3
% 186.03/30.43    (5)  op(e3, e3) = e3
% 186.03/30.43  
% 186.03/30.43  Begin of proof
% 186.03/30.43  | 
% 186.03/30.43  | BETA: splitting (1) gives:
% 186.03/30.43  | 
% 186.03/30.43  | Case 1:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (6)  all_56_0 = e2 & op(e3, e3) = e2
% 186.03/30.43  | | 
% 186.03/30.43  | | ALPHA: (6) implies:
% 186.03/30.43  | |   (7)  op(e3, e3) = e2
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (2), (3), (5), (7) are inconsistent by sub-proof #1594.
% 186.03/30.43  | | 
% 186.03/30.43  | Case 2:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (8)  all_56_2 = e2 & op(e2, e3) = e2
% 186.03/30.43  | | 
% 186.03/30.43  | | ALPHA: (8) implies:
% 186.03/30.43  | |   (9)  all_56_2 = e2
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (3), (4), (9) are inconsistent by sub-proof #1414.
% 186.03/30.43  | | 
% 186.03/30.43  | End of split
% 186.03/30.43  | 
% 186.03/30.43  End of proof
% 186.03/30.43  
% 186.03/30.43  Sub-proof #994 shows that the following formulas are inconsistent:
% 186.03/30.43  ----------------------------------------------------------------
% 186.03/30.43    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.03/30.43         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.03/30.43    (2)   ~ (e2 = e0)
% 186.03/30.43    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.43           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.43    (4)  all_56_12 = e0
% 186.03/30.43    (5)   ~ (e3 = e2)
% 186.03/30.43    (6)  op(e3, e3) = e1
% 186.03/30.43    (7)  all_56_2 = e3
% 186.03/30.43    (8)   ~ (e2 = e1)
% 186.03/30.43    (9)  all_56_6 = e1
% 186.03/30.43  
% 186.03/30.43  Begin of proof
% 186.03/30.43  | 
% 186.03/30.43  | BETA: splitting (1) gives:
% 186.03/30.43  | 
% 186.03/30.43  | Case 1:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 186.03/30.43  | |           e2)
% 186.03/30.43  | | 
% 186.03/30.43  | | BETA: splitting (10) gives:
% 186.03/30.43  | | 
% 186.03/30.43  | | Case 1:
% 186.03/30.43  | | | 
% 186.03/30.43  | | |   (11)  all_56_0 = e2 & op(e3, e3) = e2
% 186.03/30.43  | | | 
% 186.03/30.43  | | | ALPHA: (11) implies:
% 186.03/30.43  | | |   (12)  op(e3, e3) = e2
% 186.03/30.43  | | | 
% 186.03/30.43  | | | REF_CLOSE: (3), (6), (8), (12) are inconsistent by sub-proof #1582.
% 186.03/30.43  | | | 
% 186.03/30.43  | | Case 2:
% 186.03/30.43  | | | 
% 186.03/30.43  | | |   (13)  all_56_2 = e2 & op(e2, e3) = e2
% 186.03/30.43  | | | 
% 186.03/30.43  | | | REF_CLOSE: (5), (7), (13) are inconsistent by sub-proof #1593.
% 186.03/30.43  | | | 
% 186.03/30.43  | | End of split
% 186.03/30.43  | | 
% 186.03/30.43  | Case 2:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (14)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 186.03/30.43  | |           e2)
% 186.03/30.43  | | 
% 186.03/30.43  | | BETA: splitting (14) gives:
% 186.03/30.43  | | 
% 186.03/30.43  | | Case 1:
% 186.03/30.43  | | | 
% 186.03/30.43  | | |   (15)  all_56_6 = e2 & op(e1, e3) = e2
% 186.03/30.43  | | | 
% 186.03/30.43  | | | ALPHA: (15) implies:
% 186.03/30.43  | | |   (16)  all_56_6 = e2
% 186.03/30.43  | | | 
% 186.03/30.43  | | | REF_CLOSE: (8), (9), (16) are inconsistent by sub-proof #1215.
% 186.03/30.43  | | | 
% 186.03/30.43  | | Case 2:
% 186.03/30.43  | | | 
% 186.03/30.43  | | |   (17)  all_56_12 = e2 & op(e0, e3) = e2
% 186.03/30.43  | | | 
% 186.03/30.43  | | | ALPHA: (17) implies:
% 186.03/30.43  | | |   (18)  all_56_12 = e2
% 186.03/30.43  | | | 
% 186.03/30.43  | | | REF_CLOSE: (2), (4), (18) are inconsistent by sub-proof #1548.
% 186.03/30.43  | | | 
% 186.03/30.43  | | End of split
% 186.03/30.43  | | 
% 186.03/30.43  | End of split
% 186.03/30.43  | 
% 186.03/30.43  End of proof
% 186.03/30.43  
% 186.03/30.43  Sub-proof #995 shows that the following formulas are inconsistent:
% 186.03/30.43  ----------------------------------------------------------------
% 186.03/30.43    (1)  op(e0, e0) = all_6_2
% 186.03/30.43    (2)   ~ (all_6_2 = e1)
% 186.03/30.43    (3)   ~ (e1 = e0)
% 186.03/30.43    (4)  op(e0, e0) = e0
% 186.03/30.43    (5)   ~ (e3 = e0)
% 186.03/30.43    (6)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 186.03/30.43    (7)   ~ (e2 = e0)
% 186.03/30.43    (8)   ~ (e3 = e1)
% 186.03/30.43    (9)   ~ (all_6_2 = e2)
% 186.03/30.43    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.43            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.43    (11)  all_56_12 = e0
% 186.03/30.43    (12)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.03/30.43          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.43            e1)
% 186.03/30.43    (13)   ~ (e3 = e2)
% 186.03/30.43    (14)   ~ (e2 = e1)
% 186.03/30.43    (15)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.03/30.43          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.43            e2)
% 186.03/30.43    (16)  op(e0, e3) = e0
% 186.03/30.43  
% 186.03/30.43  Begin of proof
% 186.03/30.43  | 
% 186.03/30.43  | BETA: splitting (6) gives:
% 186.03/30.43  | 
% 186.03/30.43  | Case 1:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (17)  all_56_14 = e3 & op(e0, e1) = e3
% 186.03/30.43  | | 
% 186.03/30.43  | | ALPHA: (17) implies:
% 186.03/30.43  | |   (18)  all_56_14 = e3
% 186.03/30.43  | | 
% 186.03/30.43  | | REF_CLOSE: (1), (2), (3), (7), (8), (9), (10), (11), (12), (13), (14), (15),
% 186.03/30.43  | |            (16), (18) are inconsistent by sub-proof #1506.
% 186.03/30.43  | | 
% 186.03/30.43  | Case 2:
% 186.03/30.43  | | 
% 186.03/30.43  | |   (19)  all_56_15 = e3 & op(e0, e0) = e3
% 186.03/30.43  | | 
% 186.03/30.43  | | ALPHA: (19) implies:
% 186.03/30.44  | |   (20)  op(e0, e0) = e3
% 186.03/30.44  | | 
% 186.03/30.44  | | REF_CLOSE: (4), (5), (10), (20) are inconsistent by sub-proof #1540.
% 186.03/30.44  | | 
% 186.03/30.44  | End of split
% 186.03/30.44  | 
% 186.03/30.44  End of proof
% 186.03/30.44  
% 186.03/30.44  Sub-proof #996 shows that the following formulas are inconsistent:
% 186.03/30.44  ----------------------------------------------------------------
% 186.03/30.44    (1)  all_56_6 = e1 & op(e1, e3) = e1
% 186.03/30.44    (2)  all_56_6 = e2
% 186.03/30.44    (3)   ~ (e2 = e1)
% 186.03/30.44  
% 186.03/30.44  Begin of proof
% 186.03/30.44  | 
% 186.03/30.44  | ALPHA: (1) implies:
% 186.03/30.44  |   (4)  all_56_6 = e1
% 186.03/30.44  | 
% 186.03/30.44  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.44  |   (5)  e2 = e1
% 186.03/30.44  | 
% 186.03/30.44  | REDUCE: (3), (5) imply:
% 186.03/30.44  |   (6)  $false
% 186.03/30.44  | 
% 186.03/30.44  | CLOSE: (6) is inconsistent.
% 186.03/30.44  | 
% 186.03/30.44  End of proof
% 186.03/30.44  
% 186.03/30.44  Sub-proof #997 shows that the following formulas are inconsistent:
% 186.03/30.44  ----------------------------------------------------------------
% 186.03/30.44    (1)  all_54_6 = all_52_9
% 186.03/30.44    (2)   ~ (all_52_9 = all_10_2)
% 186.03/30.44    (3)  op(e0, e0) = all_6_2
% 186.03/30.44    (4)  all_56_6 = e2
% 186.03/30.44    (5)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 186.03/30.44         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 186.03/30.44    (6)   ~ (all_52_3 = e1)
% 186.03/30.44    (7)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 186.03/30.44    (8)   ~ (all_4_2 = e0)
% 186.03/30.44    (9)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 186.03/30.44         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.03/30.44    (10)   ~ (all_6_2 = e1)
% 186.03/30.44    (11)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 186.03/30.44          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.03/30.44    (12)   ~ (all_52_6 = all_52_14)
% 186.03/30.44    (13)   ~ (all_52_14 = e0)
% 186.03/30.44    (14)   ~ (all_52_1 = all_10_2)
% 186.03/30.44    (15)   ~ (e1 = e0)
% 186.03/30.44    (16)  op(e1, e3) = all_52_2
% 186.03/30.44    (17)  op(e1, e0) = all_52_14
% 186.03/30.44    (18)   ~ (all_52_7 = all_10_2)
% 186.03/30.44    (19)   ~ (all_52_9 = e0)
% 186.03/30.44    (20)  all_56_1 = e0
% 186.03/30.44    (21)   ~ (e3 = e0)
% 186.03/30.44    (22)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 186.03/30.44          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.03/30.44    (23)  op(e0, e1) = all_52_11
% 186.03/30.44    (24)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.03/30.44          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.44    (25)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.03/30.44          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.03/30.44    (26)   ~ (all_28_2 = e1) | ( ~ (all_28_0 = e0) & op(e1, e1) = all_28_0 &
% 186.03/30.44            $i(all_28_0)) | ( ~ (all_28_1 = e3) & op(e1, e2) = all_28_1 &
% 186.03/30.44            $i(all_28_1))
% 186.03/30.44    (27)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 186.03/30.44    (28)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.03/30.44          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.03/30.44    (29)  op(e2, e1) = all_52_9
% 186.03/30.44    (30)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.03/30.44          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.44    (31)  all_56_11 = e3
% 186.03/30.44    (32)   ~ (all_52_6 = e0)
% 186.03/30.44    (33)   ~ (all_10_2 = e0)
% 186.03/30.44    (34)   ~ (e2 = e0)
% 186.03/30.44    (35)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.03/30.44          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 186.03/30.44    (36)   ~ (all_52_6 = all_52_7)
% 186.03/30.44    (37)  op(e1, e3) = e2
% 186.03/30.44    (38)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.03/30.44          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.03/30.44    (39)   ~ (e3 = e1)
% 186.03/30.44    (40)   ~ (all_6_2 = e2)
% 186.03/30.44    (41)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 186.03/30.44          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.03/30.44    (42)   ~ (all_52_13 = all_10_2)
% 186.03/30.44    (43)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 186.03/30.44    (44)  op(e2, e3) = all_52_1
% 186.03/30.44    (45)  all_54_4 = all_52_1
% 186.03/30.44    (46)   ~ (all_52_1 = e3)
% 186.03/30.44    (47)  op(e0, e3) = all_52_3
% 186.03/30.44    (48)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.44            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.44    (49)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 186.03/30.44    (50)  all_54_5 = all_10_2
% 186.03/30.44    (51)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 186.03/30.44              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 186.03/30.44            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.03/30.44              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.03/30.44            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 186.03/30.44            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 186.03/30.44            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 186.03/30.44            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 186.03/30.44            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 186.03/30.44            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.03/30.44              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 186.03/30.44              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.03/30.44            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 186.03/30.44          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 186.03/30.44              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 186.03/30.44            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 186.03/30.44              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 186.03/30.44            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 186.03/30.44            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 186.03/30.44            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 186.03/30.44            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 186.03/30.44            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.03/30.44              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 186.03/30.44              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 186.03/30.44            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 186.03/30.44            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 186.03/30.44            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 186.03/30.44            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 186.03/30.44            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 186.03/30.44            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 186.03/30.44            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.03/30.44            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 186.03/30.44            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 186.03/30.44            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 186.03/30.44              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 186.03/30.44            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 186.03/30.44            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 186.03/30.44              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 186.03/30.44            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 186.03/30.44            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 186.03/30.44            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 186.03/30.44            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.44            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 186.03/30.44              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 186.03/30.44              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 186.03/30.44            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 186.03/30.44            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 186.03/30.44              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 186.03/30.44            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 186.03/30.44            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.03/30.44            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 186.03/30.44            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 186.03/30.44            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 186.03/30.44                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 186.03/30.44                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 186.03/30.44                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.44                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 186.03/30.44                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 186.03/30.44                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.03/30.44                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.03/30.44                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 186.03/30.44                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.03/30.44                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 186.03/30.44                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 186.03/30.44                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.03/30.44                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.03/30.44                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 186.03/30.44                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.03/30.44                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 186.03/30.44    (52)  all_54_11 = all_52_14
% 186.03/30.44    (53)   ~ (all_52_1 = e1)
% 186.03/30.44    (54)  op(e1, e2) = e1
% 186.03/30.44    (55)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.03/30.44          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 186.03/30.44    (56)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 186.03/30.44          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 186.03/30.44    (57)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.03/30.44          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.44    (58)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 186.03/30.44          | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0, e0) =
% 186.03/30.44            e1) | ( ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 & $i(all_57_17))
% 186.03/30.44    (59)  all_54_9 = all_52_6
% 186.03/30.44    (60)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.03/30.44          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.03/30.44    (61)   ~ (all_10_2 = e3)
% 186.03/30.44    (62)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.03/30.44          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.44            e1)
% 186.03/30.44    (63)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.03/30.44          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 186.03/30.44    (64)  op(e2, e0) = all_52_13
% 186.03/30.44    (65)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 186.03/30.44          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.03/30.44    (66)   ~ (e3 = e2)
% 186.03/30.44    (67)  op(e3, e3) = e1
% 186.03/30.44    (68)  all_28_2 = all_10_2
% 186.03/30.44    (69)  all_56_10 = e1
% 186.03/30.44    (70)  op(e3, e1) = all_52_8
% 186.03/30.44    (71)  op(e1, e3) = e3
% 186.03/30.44    (72)  op(e3, e3) = all_4_2
% 186.03/30.44    (73)  all_56_7 = e1
% 186.03/30.44    (74)  op(e1, e1) = e0
% 186.03/30.44    (75)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 186.03/30.44          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 186.03/30.44    (76)   ~ (all_52_14 = e3)
% 186.03/30.44    (77)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.03/30.44          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.03/30.44            e3)
% 186.03/30.44    (78)   ~ (all_52_2 = e0)
% 186.03/30.44    (79)  op(e1, e2) = all_52_6
% 186.03/30.44    (80)   ~ (all_52_6 = all_10_2)
% 186.03/30.44    (81)   ~ (e2 = e1)
% 186.03/30.44    (82)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.03/30.44          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.44            e2)
% 186.03/30.44    (83)   ~ (all_52_6 = e3)
% 186.03/30.44    (84)  op(e0, e2) = all_52_7
% 186.03/30.44    (85)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 186.03/30.44    (86)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.44              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.44                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.03/30.44                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.03/30.44    (87)  op(e2, e2) = all_10_2
% 186.03/30.44    (88)   ~ (all_52_8 = e1)
% 186.03/30.44    (89)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.44          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.44    (90)   ~ (all_52_2 = e1)
% 186.03/30.44    (91)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 186.03/30.44          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 186.03/30.44  
% 186.03/30.44  Begin of proof
% 186.03/30.44  | 
% 186.03/30.44  | BETA: splitting (35) gives:
% 186.03/30.44  | 
% 186.03/30.44  | Case 1:
% 186.03/30.44  | | 
% 186.03/30.44  | |   (92)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 186.03/30.44  | |           e0)
% 186.03/30.44  | | 
% 186.03/30.44  | | BETA: splitting (92) gives:
% 186.03/30.44  | | 
% 186.03/30.44  | | Case 1:
% 186.03/30.44  | | | 
% 186.03/30.44  | | |   (93)  all_56_2 = e0 & op(e2, e3) = e0
% 186.03/30.44  | | | 
% 186.03/30.44  | | | ALPHA: (93) implies:
% 186.03/30.44  | | |   (94)  op(e2, e3) = e0
% 186.03/30.44  | | | 
% 186.03/30.44  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 186.03/30.44  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 186.03/30.44  | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 186.03/30.44  | | |            (33), (34), (36), (37), (38), (39), (40), (41), (42), (43),
% 186.03/30.44  | | |            (44), (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 186.03/30.44  | | |            (54), (55), (56), (57), (58), (59), (60), (61), (62), (63),
% 186.03/30.44  | | |            (64), (65), (66), (67), (68), (69), (70), (71), (72), (73),
% 186.03/30.44  | | |            (74), (75), (76), (77), (78), (79), (80), (81), (82), (83),
% 186.03/30.44  | | |            (84), (85), (86), (87), (88), (89), (90), (91), (94) are
% 186.03/30.44  | | |            inconsistent by sub-proof #998.
% 186.03/30.44  | | | 
% 186.03/30.44  | | Case 2:
% 186.03/30.44  | | | 
% 186.03/30.44  | | |   (95)  all_56_3 = e0 & op(e2, e2) = e0
% 186.03/30.44  | | | 
% 186.03/30.44  | | | ALPHA: (95) implies:
% 186.03/30.44  | | |   (96)  op(e2, e2) = e0
% 186.03/30.44  | | | 
% 186.03/30.44  | | | REF_CLOSE: (33), (48), (87), (96) are inconsistent by sub-proof #1623.
% 186.03/30.44  | | | 
% 186.03/30.44  | | End of split
% 186.03/30.44  | | 
% 186.03/30.44  | Case 2:
% 186.03/30.44  | | 
% 186.03/30.44  | |   (97)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 186.03/30.44  | |           e0)
% 186.03/30.44  | | 
% 186.03/30.44  | | BETA: splitting (97) gives:
% 186.03/30.44  | | 
% 186.03/30.44  | | Case 1:
% 186.03/30.44  | | | 
% 186.03/30.44  | | |   (98)  all_56_5 = e0 & op(e2, e1) = e0
% 186.03/30.44  | | | 
% 186.03/30.44  | | | REF_CLOSE: (19), (29), (48), (98) are inconsistent by sub-proof #1476.
% 186.03/30.44  | | | 
% 186.03/30.44  | | Case 2:
% 186.03/30.44  | | | 
% 186.03/30.44  | | |   (99)  all_56_10 = e0 & op(e2, e0) = e0
% 186.03/30.44  | | | 
% 186.03/30.44  | | | REF_CLOSE: (15), (69), (99) are inconsistent by sub-proof #1409.
% 186.03/30.44  | | | 
% 186.03/30.44  | | End of split
% 186.03/30.44  | | 
% 186.03/30.44  | End of split
% 186.03/30.44  | 
% 186.03/30.44  End of proof
% 186.03/30.44  
% 186.03/30.44  Sub-proof #998 shows that the following formulas are inconsistent:
% 186.03/30.44  ----------------------------------------------------------------
% 186.03/30.44    (1)  all_54_6 = all_52_9
% 186.03/30.44    (2)   ~ (all_52_9 = all_10_2)
% 186.03/30.44    (3)  op(e0, e0) = all_6_2
% 186.03/30.44    (4)  all_56_6 = e2
% 186.03/30.44    (5)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 186.03/30.44         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 186.03/30.44    (6)   ~ (all_52_3 = e1)
% 186.03/30.44    (7)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 186.03/30.44    (8)   ~ (all_4_2 = e0)
% 186.03/30.44    (9)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 186.03/30.44         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.03/30.44    (10)   ~ (all_6_2 = e1)
% 186.03/30.44    (11)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 186.03/30.44          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.03/30.44    (12)   ~ (all_52_6 = all_52_14)
% 186.03/30.44    (13)   ~ (all_52_14 = e0)
% 186.03/30.44    (14)   ~ (all_52_1 = all_10_2)
% 186.03/30.44    (15)   ~ (e1 = e0)
% 186.03/30.44    (16)  op(e1, e3) = all_52_2
% 186.03/30.44    (17)  op(e1, e0) = all_52_14
% 186.03/30.44    (18)   ~ (all_52_7 = all_10_2)
% 186.03/30.44    (19)   ~ (all_52_9 = e0)
% 186.03/30.44    (20)  all_56_1 = e0
% 186.03/30.44    (21)   ~ (e3 = e0)
% 186.03/30.44    (22)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 186.03/30.44          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.03/30.44    (23)  op(e0, e1) = all_52_11
% 186.03/30.44    (24)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.03/30.44          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.44    (25)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.03/30.44          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.03/30.44    (26)   ~ (all_28_2 = e1) | ( ~ (all_28_0 = e0) & op(e1, e1) = all_28_0 &
% 186.03/30.44            $i(all_28_0)) | ( ~ (all_28_1 = e3) & op(e1, e2) = all_28_1 &
% 186.03/30.44            $i(all_28_1))
% 186.03/30.44    (27)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 186.03/30.44    (28)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.03/30.44          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.03/30.44    (29)  op(e2, e1) = all_52_9
% 186.03/30.44    (30)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.03/30.44          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.44    (31)  all_56_11 = e3
% 186.03/30.44    (32)   ~ (all_52_6 = e0)
% 186.03/30.44    (33)   ~ (all_10_2 = e0)
% 186.03/30.44    (34)   ~ (e2 = e0)
% 186.03/30.44    (35)   ~ (all_52_6 = all_52_7)
% 186.03/30.44    (36)  op(e1, e3) = e2
% 186.03/30.44    (37)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.03/30.44          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.03/30.44    (38)   ~ (e3 = e1)
% 186.03/30.44    (39)   ~ (all_6_2 = e2)
% 186.03/30.44    (40)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 186.03/30.44          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.03/30.44    (41)   ~ (all_52_13 = all_10_2)
% 186.03/30.44    (42)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 186.03/30.44    (43)  op(e2, e3) = all_52_1
% 186.03/30.44    (44)  all_54_4 = all_52_1
% 186.03/30.44    (45)   ~ (all_52_1 = e3)
% 186.03/30.44    (46)  op(e0, e3) = all_52_3
% 186.03/30.44    (47)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.44            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.44    (48)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 186.03/30.44    (49)  all_54_5 = all_10_2
% 186.03/30.44    (50)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 186.03/30.44              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 186.03/30.44            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.03/30.44              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.03/30.44            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 186.03/30.44            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 186.03/30.44            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 186.03/30.44            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 186.03/30.44            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 186.03/30.44            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.03/30.44              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 186.03/30.44              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.03/30.44            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 186.03/30.44          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 186.03/30.44              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 186.03/30.44            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 186.03/30.44              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 186.03/30.44            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 186.03/30.44            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 186.03/30.44            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 186.03/30.44            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 186.03/30.44            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.03/30.44              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 186.03/30.44              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 186.03/30.44            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 186.03/30.44            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 186.03/30.44            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 186.03/30.44            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 186.03/30.44            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 186.03/30.44            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 186.03/30.44            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.03/30.44            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 186.03/30.44            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 186.03/30.44            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 186.03/30.44              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 186.03/30.44            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 186.03/30.44            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 186.03/30.44              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 186.03/30.44            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 186.03/30.44            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 186.03/30.44            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 186.03/30.44            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.44            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 186.03/30.44              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 186.03/30.44              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 186.03/30.44            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 186.03/30.44            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 186.03/30.44              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 186.03/30.44            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 186.03/30.44            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.03/30.44            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 186.03/30.44            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 186.03/30.44            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 186.03/30.44                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 186.03/30.44                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 186.03/30.44                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.44                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 186.03/30.44                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 186.03/30.44                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.03/30.44                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.03/30.44                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 186.03/30.44                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.03/30.44                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 186.03/30.44                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 186.03/30.44                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.03/30.44                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.03/30.44                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 186.03/30.44                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.03/30.44                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 186.03/30.44    (51)  all_54_11 = all_52_14
% 186.03/30.44    (52)   ~ (all_52_1 = e1)
% 186.03/30.44    (53)  op(e1, e2) = e1
% 186.03/30.44    (54)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.03/30.44          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 186.03/30.44    (55)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 186.03/30.44          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 186.03/30.44    (56)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.03/30.44          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.44    (57)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 186.03/30.44          | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0, e0) =
% 186.03/30.44            e1) | ( ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 & $i(all_57_17))
% 186.03/30.44    (58)  all_54_9 = all_52_6
% 186.03/30.44    (59)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.03/30.44          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.03/30.44    (60)   ~ (all_10_2 = e3)
% 186.03/30.44    (61)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.03/30.44          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.44            e1)
% 186.03/30.44    (62)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.03/30.44          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 186.03/30.44    (63)  op(e2, e0) = all_52_13
% 186.03/30.44    (64)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 186.03/30.44          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.03/30.44    (65)   ~ (e3 = e2)
% 186.03/30.44    (66)  op(e3, e3) = e1
% 186.03/30.44    (67)  all_28_2 = all_10_2
% 186.03/30.44    (68)  all_56_10 = e1
% 186.03/30.44    (69)  op(e3, e1) = all_52_8
% 186.03/30.44    (70)  op(e1, e3) = e3
% 186.03/30.44    (71)  op(e3, e3) = all_4_2
% 186.03/30.44    (72)  all_56_7 = e1
% 186.03/30.44    (73)  op(e1, e1) = e0
% 186.03/30.44    (74)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 186.03/30.44          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 186.03/30.44    (75)   ~ (all_52_14 = e3)
% 186.03/30.44    (76)  op(e2, e3) = e0
% 186.03/30.44    (77)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.03/30.44          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.03/30.44            e3)
% 186.03/30.44    (78)   ~ (all_52_2 = e0)
% 186.03/30.44    (79)  op(e1, e2) = all_52_6
% 186.03/30.44    (80)   ~ (all_52_6 = all_10_2)
% 186.03/30.44    (81)   ~ (e2 = e1)
% 186.03/30.44    (82)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.03/30.44          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.44            e2)
% 186.03/30.44    (83)   ~ (all_52_6 = e3)
% 186.03/30.44    (84)  op(e0, e2) = all_52_7
% 186.03/30.44    (85)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 186.03/30.44    (86)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.44              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.44                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.03/30.44                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.03/30.44    (87)  op(e2, e2) = all_10_2
% 186.03/30.44    (88)   ~ (all_52_8 = e1)
% 186.03/30.44    (89)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.44          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.44    (90)   ~ (all_52_2 = e1)
% 186.03/30.44    (91)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 186.03/30.44          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 186.03/30.44  
% 186.03/30.44  Begin of proof
% 186.03/30.44  | 
% 186.03/30.44  | BETA: splitting (40) gives:
% 186.03/30.44  | 
% 186.03/30.44  | Case 1:
% 186.03/30.44  | | 
% 186.03/30.44  | |   (92)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 186.03/30.44  | |           e3)
% 186.03/30.44  | | 
% 186.03/30.44  | | REF_CLOSE: (21), (38), (47), (66), (76), (92) are inconsistent by sub-proof
% 186.03/30.44  | |            #1020.
% 186.03/30.44  | | 
% 186.03/30.44  | Case 2:
% 186.03/30.44  | | 
% 186.03/30.45  | |   (93)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 186.03/30.45  | |           e3)
% 186.03/30.45  | | 
% 186.03/30.45  | | BETA: splitting (93) gives:
% 186.03/30.45  | | 
% 186.03/30.45  | | Case 1:
% 186.03/30.45  | | | 
% 186.03/30.45  | | |   (94)  all_56_6 = e3 & op(e1, e3) = e3
% 186.03/30.45  | | | 
% 186.03/30.45  | | | ALPHA: (94) implies:
% 186.03/30.45  | | |   (95)  all_56_6 = e3
% 186.03/30.45  | | | 
% 186.03/30.45  | | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (10), (12), (13), (14),
% 186.03/30.45  | | |            (15), (16), (17), (18), (19), (21), (22), (23), (24), (25),
% 186.03/30.45  | | |            (26), (27), (29), (30), (32), (33), (35), (38), (39), (41),
% 186.03/30.45  | | |            (42), (43), (44), (45), (46), (47), (48), (49), (50), (51),
% 186.03/30.45  | | |            (52), (55), (56), (57), (58), (59), (60), (61), (62), (63),
% 186.03/30.45  | | |            (66), (67), (69), (70), (71), (73), (74), (75), (78), (79),
% 186.03/30.45  | | |            (80), (82), (83), (84), (85), (87), (88), (89), (91), (95) are
% 186.03/30.45  | | |            inconsistent by sub-proof #1022.
% 186.03/30.45  | | | 
% 186.03/30.45  | | Case 2:
% 186.03/30.45  | | | 
% 186.03/30.45  | | |   (96)  all_56_12 = e3 & op(e0, e3) = e3
% 186.03/30.45  | | | 
% 186.03/30.45  | | | ALPHA: (96) implies:
% 186.03/30.45  | | |   (97)  all_56_12 = e3
% 186.03/30.45  | | |   (98)  op(e0, e3) = e3
% 186.03/30.45  | | | 
% 186.03/30.45  | | | BETA: splitting (9) gives:
% 186.03/30.45  | | | 
% 186.03/30.45  | | | Case 1:
% 186.03/30.45  | | | | 
% 186.03/30.45  | | | |   (99)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2)
% 186.03/30.45  | | | |           = e3)
% 186.03/30.45  | | | | 
% 186.03/30.45  | | | | BETA: splitting (99) gives:
% 186.03/30.45  | | | | 
% 186.03/30.45  | | | | Case 1:
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | |   (100)  all_56_1 = e3 & op(e3, e2) = e3
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | | ALPHA: (100) implies:
% 186.03/30.45  | | | | |   (101)  all_56_1 = e3
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | | REF_CLOSE: (20), (21), (101) are inconsistent by sub-proof #1573.
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | Case 2:
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | |   (102)  all_56_3 = e3 & op(e2, e2) = e3
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | | ALPHA: (102) implies:
% 186.03/30.45  | | | | |   (103)  op(e2, e2) = e3
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | | REF_CLOSE: (3), (4), (5), (8), (10), (11), (15), (16), (21), (24),
% 186.03/30.45  | | | | |            (28), (30), (31), (32), (34), (36), (37), (38), (39), (46),
% 186.03/30.45  | | | | |            (47), (54), (55), (56), (59), (61), (62), (64), (65), (66),
% 186.03/30.45  | | | | |            (68), (69), (70), (71), (72), (73), (77), (79), (81), (86),
% 186.03/30.45  | | | | |            (89), (90), (91), (97), (98), (103) are inconsistent by
% 186.03/30.45  | | | | |            sub-proof #1001.
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | End of split
% 186.03/30.45  | | | | 
% 186.03/30.45  | | | Case 2:
% 186.03/30.45  | | | | 
% 186.03/30.45  | | | |   (104)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0,
% 186.03/30.45  | | | |              e2) = e3)
% 186.03/30.45  | | | | 
% 186.03/30.45  | | | | BETA: splitting (104) gives:
% 186.03/30.45  | | | | 
% 186.03/30.45  | | | | Case 1:
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | |   (105)  all_56_7 = e3 & op(e1, e2) = e3
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | | ALPHA: (105) implies:
% 186.03/30.45  | | | | |   (106)  op(e1, e2) = e3
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | | REF_CLOSE: (38), (47), (53), (106) are inconsistent by sub-proof
% 186.03/30.45  | | | | |            #1263.
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | Case 2:
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | |   (107)  all_56_13 = e3 & op(e0, e2) = e3
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | | ALPHA: (107) implies:
% 186.03/30.45  | | | | |   (108)  all_56_13 = e3
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | | REF_CLOSE: (3), (10), (15), (21), (34), (38), (39), (46), (47), (61),
% 186.03/30.45  | | | | |            (65), (77), (81), (82), (86), (97), (98), (108) are
% 186.03/30.45  | | | | |            inconsistent by sub-proof #999.
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | End of split
% 186.03/30.45  | | | | 
% 186.03/30.45  | | | End of split
% 186.03/30.45  | | | 
% 186.03/30.45  | | End of split
% 186.03/30.45  | | 
% 186.03/30.45  | End of split
% 186.03/30.45  | 
% 186.03/30.45  End of proof
% 186.03/30.45  
% 186.03/30.45  Sub-proof #999 shows that the following formulas are inconsistent:
% 186.03/30.45  ----------------------------------------------------------------
% 186.03/30.45    (1)  op(e0, e0) = all_6_2
% 186.03/30.45    (2)  op(e0, e3) = e3
% 186.03/30.45    (3)   ~ (all_6_2 = e1)
% 186.03/30.45    (4)   ~ (e1 = e0)
% 186.03/30.45    (5)  all_56_13 = e3
% 186.03/30.45    (6)   ~ (e3 = e0)
% 186.03/30.45    (7)   ~ (e2 = e0)
% 186.03/30.45    (8)   ~ (e3 = e1)
% 186.03/30.45    (9)   ~ (all_6_2 = e2)
% 186.03/30.45    (10)  op(e0, e3) = all_52_3
% 186.03/30.45    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.45            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.45    (12)  all_56_12 = e3
% 186.03/30.45    (13)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.03/30.45          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.45            e1)
% 186.03/30.45    (14)   ~ (e3 = e2)
% 186.03/30.45    (15)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.03/30.45          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.03/30.45            e3)
% 186.03/30.45    (16)   ~ (e2 = e1)
% 186.03/30.45    (17)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.03/30.45          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.45            e2)
% 186.03/30.45    (18)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.45              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.45                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.03/30.45                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.03/30.45  
% 186.03/30.45  Begin of proof
% 186.03/30.45  | 
% 186.03/30.45  | BETA: splitting (17) gives:
% 186.03/30.45  | 
% 186.03/30.45  | Case 1:
% 186.03/30.45  | | 
% 186.03/30.45  | |   (19)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 186.03/30.45  | |           e2)
% 186.03/30.45  | | 
% 186.03/30.45  | | BETA: splitting (19) gives:
% 186.03/30.45  | | 
% 186.03/30.45  | | Case 1:
% 186.03/30.45  | | | 
% 186.03/30.45  | | |   (20)  all_56_12 = e2 & op(e0, e3) = e2
% 186.03/30.45  | | | 
% 186.03/30.45  | | | ALPHA: (20) implies:
% 186.03/30.45  | | |   (21)  op(e0, e3) = e2
% 186.03/30.45  | | | 
% 186.03/30.45  | | | REF_CLOSE: (2), (11), (14), (21) are inconsistent by sub-proof #1039.
% 186.03/30.45  | | | 
% 186.03/30.45  | | Case 2:
% 186.03/30.45  | | | 
% 186.03/30.45  | | |   (22)  all_56_13 = e2 & op(e0, e2) = e2
% 186.03/30.45  | | | 
% 186.03/30.45  | | | ALPHA: (22) implies:
% 186.03/30.45  | | |   (23)  all_56_13 = e2
% 186.03/30.45  | | | 
% 186.03/30.45  | | | COMBINE_EQS: (5), (23) imply:
% 186.03/30.45  | | |   (24)  e3 = e2
% 186.03/30.45  | | | 
% 186.03/30.45  | | | SIMP: (24) implies:
% 186.03/30.45  | | |   (25)  e3 = e2
% 186.03/30.45  | | | 
% 186.03/30.45  | | | COMBINE_EQS: (12), (25) imply:
% 186.03/30.45  | | |   (26)  all_56_12 = e2
% 186.03/30.45  | | | 
% 186.03/30.45  | | | REF_CLOSE: (1), (3), (4), (6), (7), (8), (11), (13), (14), (15), (16),
% 186.03/30.45  | | |            (18), (23), (26) are inconsistent by sub-proof #1119.
% 186.03/30.45  | | | 
% 186.03/30.45  | | End of split
% 186.03/30.45  | | 
% 186.03/30.45  | Case 2:
% 186.03/30.45  | | 
% 186.03/30.45  | |   (27)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.45  | |           e2)
% 186.03/30.45  | | 
% 186.03/30.45  | | REF_CLOSE: (1), (2), (3), (5), (8), (9), (10), (11), (13), (16), (27) are
% 186.03/30.45  | |            inconsistent by sub-proof #1000.
% 186.03/30.45  | | 
% 186.03/30.45  | End of split
% 186.03/30.45  | 
% 186.03/30.45  End of proof
% 186.03/30.45  
% 186.03/30.45  Sub-proof #1000 shows that the following formulas are inconsistent:
% 186.03/30.45  ----------------------------------------------------------------
% 186.03/30.45    (1)  op(e0, e0) = all_6_2
% 186.03/30.45    (2)  op(e0, e3) = e3
% 186.03/30.45    (3)   ~ (all_6_2 = e1)
% 186.03/30.45    (4)  all_56_13 = e3
% 186.03/30.45    (5)   ~ (e3 = e1)
% 186.03/30.45    (6)   ~ (all_6_2 = e2)
% 186.03/30.45    (7)  op(e0, e3) = all_52_3
% 186.03/30.45    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.45    (9)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 186.03/30.45         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.03/30.45    (10)   ~ (e2 = e1)
% 186.03/30.45    (11)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.03/30.45  
% 186.03/30.45  Begin of proof
% 186.03/30.45  | 
% 186.03/30.45  | BETA: splitting (11) gives:
% 186.03/30.45  | 
% 186.03/30.45  | Case 1:
% 186.03/30.45  | | 
% 186.03/30.45  | |   (12)  all_56_14 = e2 & op(e0, e1) = e2
% 186.03/30.45  | | 
% 186.03/30.45  | | ALPHA: (12) implies:
% 186.03/30.45  | |   (13)  all_56_14 = e2
% 186.03/30.45  | | 
% 186.03/30.45  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (13) are
% 186.03/30.45  | |            inconsistent by sub-proof #1457.
% 186.03/30.45  | | 
% 186.03/30.45  | Case 2:
% 186.03/30.45  | | 
% 186.03/30.45  | |   (14)  all_56_15 = e2 & op(e0, e0) = e2
% 186.03/30.45  | | 
% 186.03/30.45  | | ALPHA: (14) implies:
% 186.03/30.45  | |   (15)  op(e0, e0) = e2
% 186.03/30.45  | | 
% 186.03/30.45  | | REF_CLOSE: (1), (6), (8), (15) are inconsistent by sub-proof #1511.
% 186.03/30.45  | | 
% 186.03/30.45  | End of split
% 186.03/30.45  | 
% 186.03/30.45  End of proof
% 186.03/30.45  
% 186.03/30.45  Sub-proof #1001 shows that the following formulas are inconsistent:
% 186.03/30.45  ----------------------------------------------------------------
% 186.03/30.45    (1)  op(e0, e0) = all_6_2
% 186.03/30.45    (2)  all_56_6 = e2
% 186.03/30.45    (3)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 186.03/30.45         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 186.03/30.45    (4)  op(e0, e3) = e3
% 186.03/30.45    (5)   ~ (all_4_2 = e0)
% 186.03/30.45    (6)   ~ (all_6_2 = e1)
% 186.03/30.45    (7)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 186.03/30.45         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.03/30.45    (8)   ~ (e1 = e0)
% 186.03/30.45    (9)  op(e1, e3) = all_52_2
% 186.03/30.45    (10)   ~ (e3 = e0)
% 186.03/30.45    (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.03/30.45          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.45    (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.03/30.45          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.03/30.45    (13)  op(e2, e2) = e3
% 186.03/30.45    (14)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.03/30.45          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.45    (15)  all_56_11 = e3
% 186.03/30.45    (16)   ~ (all_52_6 = e0)
% 186.03/30.45    (17)   ~ (e2 = e0)
% 186.03/30.45    (18)  op(e1, e3) = e2
% 186.03/30.45    (19)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.03/30.45          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.03/30.45    (20)   ~ (e3 = e1)
% 186.03/30.45    (21)   ~ (all_6_2 = e2)
% 186.03/30.45    (22)  op(e0, e3) = all_52_3
% 186.03/30.45    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.45            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.45    (24)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.03/30.45          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 186.03/30.45    (25)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 186.03/30.45          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 186.03/30.45    (26)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.03/30.45          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.45    (27)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.03/30.45          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.03/30.45    (28)  all_56_12 = e3
% 186.03/30.45    (29)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.03/30.45          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.45            e1)
% 186.03/30.45    (30)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.03/30.45          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 186.03/30.45    (31)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 186.03/30.45          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.03/30.45    (32)   ~ (e3 = e2)
% 186.03/30.45    (33)  op(e3, e3) = e1
% 186.03/30.45    (34)  all_56_10 = e1
% 186.03/30.45    (35)  op(e3, e1) = all_52_8
% 186.03/30.45    (36)  op(e1, e3) = e3
% 186.03/30.45    (37)  op(e3, e3) = all_4_2
% 186.03/30.45    (38)  all_56_7 = e1
% 186.03/30.45    (39)  op(e1, e1) = e0
% 186.03/30.45    (40)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.03/30.45          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.03/30.45            e3)
% 186.03/30.45    (41)  op(e1, e2) = all_52_6
% 186.03/30.45    (42)   ~ (e2 = e1)
% 186.03/30.45    (43)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.45              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.45                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.03/30.45                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.03/30.45    (44)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.45          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.45    (45)   ~ (all_52_2 = e1)
% 186.03/30.45    (46)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 186.03/30.45          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 186.03/30.45  
% 186.03/30.45  Begin of proof
% 186.03/30.45  | 
% 186.03/30.45  | BETA: splitting (31) gives:
% 186.03/30.45  | 
% 186.03/30.45  | Case 1:
% 186.03/30.45  | | 
% 186.03/30.45  | |   (47)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 186.03/30.45  | |           e2)
% 186.03/30.45  | | 
% 186.03/30.45  | | BETA: splitting (47) gives:
% 186.03/30.45  | | 
% 186.03/30.45  | | Case 1:
% 186.03/30.45  | | | 
% 186.03/30.45  | | |   (48)  all_56_9 = e2 & op(e3, e0) = e2
% 186.03/30.45  | | | 
% 186.03/30.45  | | | ALPHA: (48) implies:
% 186.03/30.45  | | |   (49)  all_56_9 = e2
% 186.03/30.45  | | | 
% 186.03/30.45  | | | BETA: splitting (11) gives:
% 186.03/30.45  | | | 
% 186.03/30.45  | | | Case 1:
% 186.03/30.45  | | | | 
% 186.03/30.45  | | | |   (50)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2)
% 186.03/30.45  | | | |           = e0)
% 186.03/30.45  | | | | 
% 186.03/30.45  | | | | BETA: splitting (50) gives:
% 186.03/30.45  | | | | 
% 186.03/30.45  | | | | Case 1:
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | |   (51)  all_56_0 = e0 & op(e3, e3) = e0
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | | ALPHA: (51) implies:
% 186.03/30.45  | | | | |   (52)  op(e3, e3) = e0
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | | REF_CLOSE: (5), (23), (37), (52) are inconsistent by sub-proof #1624.
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | Case 2:
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | |   (53)  all_56_1 = e0 & op(e3, e2) = e0
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | | ALPHA: (53) implies:
% 186.03/30.45  | | | | |   (54)  all_56_1 = e0
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | | BETA: splitting (19) gives:
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | | Case 1:
% 186.03/30.45  | | | | | | 
% 186.03/30.45  | | | | | |   (55)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2,
% 186.03/30.45  | | | | | |             e2) = e2)
% 186.03/30.45  | | | | | | 
% 186.03/30.45  | | | | | | BETA: splitting (55) gives:
% 186.03/30.45  | | | | | | 
% 186.03/30.45  | | | | | | Case 1:
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | |   (56)  all_56_1 = e2 & op(e3, e2) = e2
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | | ALPHA: (56) implies:
% 186.03/30.45  | | | | | | |   (57)  all_56_1 = e2
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | | REF_CLOSE: (17), (54), (57) are inconsistent by sub-proof #1019.
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | Case 2:
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | |   (58)  all_56_3 = e2 & op(e2, e2) = e2
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | | ALPHA: (58) implies:
% 186.03/30.45  | | | | | | |   (59)  op(e2, e2) = e2
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | | REF_CLOSE: (13), (23), (32), (59) are inconsistent by sub-proof
% 186.03/30.45  | | | | | | |            #1602.
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | End of split
% 186.03/30.45  | | | | | | 
% 186.03/30.45  | | | | | Case 2:
% 186.03/30.45  | | | | | | 
% 186.03/30.45  | | | | | |   (60)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0,
% 186.03/30.45  | | | | | |             e2) = e2)
% 186.03/30.45  | | | | | | 
% 186.03/30.45  | | | | | | BETA: splitting (60) gives:
% 186.03/30.45  | | | | | | 
% 186.03/30.45  | | | | | | Case 1:
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | |   (61)  all_56_7 = e2 & op(e1, e2) = e2
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | | ALPHA: (61) implies:
% 186.03/30.45  | | | | | | |   (62)  all_56_7 = e2
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | | REF_CLOSE: (3), (8), (9), (15), (20), (23), (39), (42), (45), (62)
% 186.03/30.45  | | | | | | |            are inconsistent by sub-proof #1016.
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | Case 2:
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | |   (63)  all_56_13 = e2 & op(e0, e2) = e2
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | | ALPHA: (63) implies:
% 186.03/30.45  | | | | | | |   (64)  all_56_13 = e2
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | | BETA: splitting (30) gives:
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | | Case 1:
% 186.03/30.45  | | | | | | | | 
% 186.03/30.45  | | | | | | | |   (65)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 &
% 186.03/30.45  | | | | | | | |           op(e2, e2) = e0)
% 186.03/30.45  | | | | | | | | 
% 186.03/30.45  | | | | | | | | BETA: splitting (65) gives:
% 186.03/30.45  | | | | | | | | 
% 186.03/30.45  | | | | | | | | Case 1:
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | GROUND_INST: instantiating (23) with e2, e3, e3, e1,
% 186.03/30.45  | | | | | | | | |              simplifying with (18), (36) gives:
% 186.03/30.45  | | | | | | | | |   (66)  e3 = e2
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | COMBINE_EQS: (28), (66) imply:
% 186.03/30.45  | | | | | | | | |   (67)  all_56_12 = e2
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | REF_CLOSE: (1), (6), (8), (10), (17), (20), (23), (29), (32),
% 186.03/30.45  | | | | | | | | |            (40), (42), (43), (64), (67) are inconsistent by
% 186.03/30.45  | | | | | | | | |            sub-proof #1119.
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | Case 2:
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | |   (68)  all_56_3 = e0 & op(e2, e2) = e0
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | ALPHA: (68) implies:
% 186.03/30.45  | | | | | | | | |   (69)  op(e2, e2) = e0
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | REF_CLOSE: (10), (13), (23), (69) are inconsistent by
% 186.03/30.45  | | | | | | | | |            sub-proof #1015.
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | End of split
% 186.03/30.45  | | | | | | | | 
% 186.03/30.45  | | | | | | | Case 2:
% 186.03/30.45  | | | | | | | | 
% 186.03/30.45  | | | | | | | |   (70)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 &
% 186.03/30.45  | | | | | | | |           op(e0, e2) = e0)
% 186.03/30.45  | | | | | | | | 
% 186.03/30.45  | | | | | | | | BETA: splitting (70) gives:
% 186.03/30.45  | | | | | | | | 
% 186.03/30.45  | | | | | | | | Case 1:
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | |   (71)  all_56_7 = e0 & op(e1, e2) = e0
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | REF_CLOSE: (16), (23), (41), (71) are inconsistent by
% 186.03/30.45  | | | | | | | | |            sub-proof #1199.
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | Case 2:
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | |   (72)  all_56_13 = e0 & op(e0, e2) = e0
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | ALPHA: (72) implies:
% 186.03/30.45  | | | | | | | | |   (73)  all_56_13 = e0
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | REF_CLOSE: (17), (64), (73) are inconsistent by sub-proof
% 186.03/30.45  | | | | | | | | |            #1014.
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | End of split
% 186.03/30.45  | | | | | | | | 
% 186.03/30.45  | | | | | | | End of split
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | End of split
% 186.03/30.45  | | | | | | 
% 186.03/30.45  | | | | | End of split
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | End of split
% 186.03/30.45  | | | | 
% 186.03/30.45  | | | Case 2:
% 186.03/30.45  | | | | 
% 186.03/30.45  | | | |   (74)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0)
% 186.03/30.45  | | | |           = e0)
% 186.03/30.45  | | | | 
% 186.03/30.45  | | | | BETA: splitting (74) gives:
% 186.03/30.45  | | | | 
% 186.03/30.45  | | | | Case 1:
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | |   (75)  all_56_4 = e0 & op(e3, e1) = e0
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | | ALPHA: (75) implies:
% 186.03/30.45  | | | | |   (76)  all_56_4 = e0
% 186.03/30.45  | | | | |   (77)  op(e3, e1) = e0
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | | BETA: splitting (26) gives:
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | | Case 1:
% 186.03/30.45  | | | | | | 
% 186.03/30.45  | | | | | |   (78)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3,
% 186.03/30.45  | | | | | |             e2) = e3)
% 186.03/30.45  | | | | | | 
% 186.03/30.45  | | | | | | BETA: splitting (78) gives:
% 186.03/30.45  | | | | | | 
% 186.03/30.45  | | | | | | Case 1:
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | |   (79)  all_56_0 = e3 & op(e3, e3) = e3
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | | ALPHA: (79) implies:
% 186.03/30.45  | | | | | | |   (80)  op(e3, e3) = e3
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | | REF_CLOSE: (2), (4), (5), (8), (9), (10), (12), (17), (20), (22),
% 186.03/30.45  | | | | | | |            (23), (28), (37), (44), (45), (80) are inconsistent by
% 186.03/30.45  | | | | | | |            sub-proof #1011.
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | Case 2:
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | |   (81)  all_56_1 = e3 & op(e3, e2) = e3
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | | ALPHA: (81) implies:
% 186.03/30.45  | | | | | | |   (82)  all_56_1 = e3
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | | BETA: splitting (24) gives:
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | | Case 1:
% 186.03/30.45  | | | | | | | | 
% 186.03/30.45  | | | | | | | |   (83)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 &
% 186.03/30.45  | | | | | | | |           op(e2, e2) = e2)
% 186.03/30.45  | | | | | | | | 
% 186.03/30.45  | | | | | | | | BETA: splitting (83) gives:
% 186.03/30.45  | | | | | | | | 
% 186.03/30.45  | | | | | | | | Case 1:
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | |   (84)  all_56_2 = e2 & op(e2, e3) = e2
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | ALPHA: (84) implies:
% 186.03/30.45  | | | | | | | | |   (85)  op(e2, e3) = e2
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | REF_CLOSE: (2), (5), (10), (17), (23), (28), (37), (44), (85)
% 186.03/30.45  | | | | | | | | |            are inconsistent by sub-proof #1010.
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | Case 2:
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | |   (86)  all_56_3 = e2 & op(e2, e2) = e2
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | ALPHA: (86) implies:
% 186.03/30.45  | | | | | | | | |   (87)  op(e2, e2) = e2
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | REF_CLOSE: (13), (23), (32), (87) are inconsistent by
% 186.03/30.45  | | | | | | | | |            sub-proof #1602.
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | End of split
% 186.03/30.45  | | | | | | | | 
% 186.03/30.45  | | | | | | | Case 2:
% 186.03/30.45  | | | | | | | | 
% 186.03/30.45  | | | | | | | |   (88)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 &
% 186.03/30.45  | | | | | | | |           op(e2, e0) = e2)
% 186.03/30.45  | | | | | | | | 
% 186.03/30.45  | | | | | | | | BETA: splitting (88) gives:
% 186.03/30.45  | | | | | | | | 
% 186.03/30.45  | | | | | | | | Case 1:
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | |   (89)  all_56_5 = e2 & op(e2, e1) = e2
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | ALPHA: (89) implies:
% 186.03/30.45  | | | | | | | | |   (90)  op(e2, e1) = e2
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | BETA: splitting (46) gives:
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | Case 1:
% 186.03/30.45  | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | |   (91)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 &
% 186.03/30.45  | | | | | | | | | |           op(e2, e1) = e1)
% 186.03/30.45  | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | REF_CLOSE: (5), (8), (10), (11), (17), (23), (37), (42),
% 186.03/30.45  | | | | | | | | | |            (49), (82), (90), (91) are inconsistent by
% 186.03/30.45  | | | | | | | | | |            sub-proof #1009.
% 186.03/30.45  | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | Case 2:
% 186.03/30.45  | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | |   (92)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1
% 186.03/30.45  | | | | | | | | | |           & op(e0, e1) = e1)
% 186.03/30.45  | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | BETA: splitting (92) gives:
% 186.03/30.45  | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | Case 1:
% 186.03/30.45  | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | |   (93)  all_56_8 = e1 & op(e1, e1) = e1
% 186.03/30.45  | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | ALPHA: (93) implies:
% 186.03/30.45  | | | | | | | | | | |   (94)  op(e1, e1) = e1
% 186.03/30.45  | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | REF_CLOSE: (8), (10), (14), (15), (16), (17), (23), (25),
% 186.03/30.45  | | | | | | | | | | |            (32), (38), (41), (42), (94) are inconsistent by
% 186.03/30.45  | | | | | | | | | | |            sub-proof #1005.
% 186.03/30.45  | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | Case 2:
% 186.03/30.45  | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | |   (95)  all_56_14 = e1 & op(e0, e1) = e1
% 186.03/30.45  | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | ALPHA: (95) implies:
% 186.03/30.45  | | | | | | | | | | |   (96)  all_56_14 = e1
% 186.03/30.45  | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | BETA: splitting (7) gives:
% 186.03/30.45  | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | Case 1:
% 186.03/30.45  | | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | |   (97)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 186.03/30.45  | | | | | | | | | | | |           & op(e2, e1) = e3)
% 186.03/30.45  | | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | | REF_CLOSE: (10), (23), (32), (35), (77), (90), (97) are
% 186.03/30.45  | | | | | | | | | | | |            inconsistent by sub-proof #1004.
% 186.03/30.45  | | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | Case 2:
% 186.03/30.45  | | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | |   (98)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 186.03/30.45  | | | | | | | | | | | |           e3 & op(e0, e1) = e3)
% 186.03/30.45  | | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | | BETA: splitting (98) gives:
% 186.03/30.45  | | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | | Case 1:
% 186.03/30.45  | | | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | | |   (99)  all_56_8 = e3 & op(e1, e1) = e3
% 186.03/30.45  | | | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | | | ALPHA: (99) implies:
% 186.03/30.45  | | | | | | | | | | | | |   (100)  op(e1, e1) = e3
% 186.03/30.45  | | | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | | | REF_CLOSE: (2), (10), (14), (15), (16), (17), (23), (41),
% 186.03/30.45  | | | | | | | | | | | | |            (100) are inconsistent by sub-proof #1003.
% 186.03/30.45  | | | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | | Case 2:
% 186.03/30.45  | | | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | | |   (101)  all_56_14 = e3 & op(e0, e1) = e3
% 186.03/30.45  | | | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | | | ALPHA: (101) implies:
% 186.03/30.45  | | | | | | | | | | | | |   (102)  all_56_14 = e3
% 186.03/30.45  | | | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | | | COMBINE_EQS: (96), (102) imply:
% 186.03/30.45  | | | | | | | | | | | | |   (103)  e3 = e1
% 186.03/30.45  | | | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | | | COMBINE_EQS: (82), (103) imply:
% 186.03/30.45  | | | | | | | | | | | | |   (104)  all_56_1 = e1
% 186.03/30.45  | | | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | | | REF_CLOSE: (10), (20), (23), (26), (32), (33), (35), (49),
% 186.03/30.45  | | | | | | | | | | | | |            (77), (104) are inconsistent by sub-proof #1399.
% 186.03/30.45  | | | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | | End of split
% 186.03/30.45  | | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | | End of split
% 186.03/30.45  | | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | | End of split
% 186.03/30.45  | | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | End of split
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | Case 2:
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | |   (105)  all_56_10 = e2 & op(e2, e0) = e2
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | ALPHA: (105) implies:
% 186.03/30.45  | | | | | | | | |   (106)  all_56_10 = e2
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | COMBINE_EQS: (34), (106) imply:
% 186.03/30.45  | | | | | | | | |   (107)  e2 = e1
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | COMBINE_EQS: (49), (107) imply:
% 186.03/30.45  | | | | | | | | |   (108)  all_56_9 = e1
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | | REF_CLOSE: (17), (23), (27), (32), (33), (42), (76), (82),
% 186.03/30.45  | | | | | | | | |            (108) are inconsistent by sub-proof #1377.
% 186.03/30.45  | | | | | | | | | 
% 186.03/30.45  | | | | | | | | End of split
% 186.03/30.45  | | | | | | | | 
% 186.03/30.45  | | | | | | | End of split
% 186.03/30.45  | | | | | | | 
% 186.03/30.45  | | | | | | End of split
% 186.03/30.45  | | | | | | 
% 186.03/30.45  | | | | | Case 2:
% 186.03/30.45  | | | | | | 
% 186.03/30.45  | | | | | |   (109)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3,
% 186.03/30.45  | | | | | |              e0) = e3)
% 186.03/30.45  | | | | | | 
% 186.03/30.45  | | | | | | REF_CLOSE: (10), (23), (32), (35), (49), (77), (109) are
% 186.03/30.45  | | | | | |            inconsistent by sub-proof #1400.
% 186.03/30.45  | | | | | | 
% 186.03/30.45  | | | | | End of split
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | Case 2:
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | |   (110)  all_56_9 = e0 & op(e3, e0) = e0
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | | ALPHA: (110) implies:
% 186.03/30.45  | | | | |   (111)  all_56_9 = e0
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | | REF_CLOSE: (17), (49), (111) are inconsistent by sub-proof #1570.
% 186.03/30.45  | | | | | 
% 186.03/30.45  | | | | End of split
% 186.03/30.45  | | | | 
% 186.03/30.45  | | | End of split
% 186.03/30.45  | | | 
% 186.03/30.45  | | Case 2:
% 186.03/30.45  | | | 
% 186.03/30.45  | | |   (112)  all_56_10 = e2 & op(e2, e0) = e2
% 186.03/30.45  | | | 
% 186.03/30.45  | | | REF_CLOSE: (34), (42), (112) are inconsistent by sub-proof #1002.
% 186.03/30.45  | | | 
% 186.03/30.45  | | End of split
% 186.03/30.45  | | 
% 186.03/30.45  | Case 2:
% 186.03/30.45  | | 
% 186.03/30.45  | |   (113)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.45  | |            e2)
% 186.03/30.45  | | 
% 186.03/30.45  | | REF_CLOSE: (1), (15), (21), (23), (32), (113) are inconsistent by sub-proof
% 186.03/30.45  | |            #1200.
% 186.03/30.45  | | 
% 186.03/30.45  | End of split
% 186.03/30.45  | 
% 186.03/30.45  End of proof
% 186.03/30.45  
% 186.03/30.45  Sub-proof #1002 shows that the following formulas are inconsistent:
% 186.03/30.45  ----------------------------------------------------------------
% 186.03/30.45    (1)  all_56_10 = e2 & op(e2, e0) = e2
% 186.03/30.45    (2)  all_56_10 = e1
% 186.03/30.45    (3)   ~ (e2 = e1)
% 186.03/30.45  
% 186.03/30.45  Begin of proof
% 186.03/30.45  | 
% 186.03/30.45  | ALPHA: (1) implies:
% 186.03/30.45  |   (4)  all_56_10 = e2
% 186.03/30.45  | 
% 186.03/30.45  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.45  |   (5)  e2 = e1
% 186.03/30.45  | 
% 186.03/30.45  | REDUCE: (3), (5) imply:
% 186.03/30.45  |   (6)  $false
% 186.03/30.45  | 
% 186.03/30.45  | CLOSE: (6) is inconsistent.
% 186.03/30.45  | 
% 186.03/30.45  End of proof
% 186.03/30.45  
% 186.03/30.45  Sub-proof #1003 shows that the following formulas are inconsistent:
% 186.03/30.45  ----------------------------------------------------------------
% 186.03/30.45    (1)  all_56_6 = e2
% 186.03/30.45    (2)  op(e1, e1) = e3
% 186.03/30.45    (3)   ~ (e3 = e0)
% 186.03/30.45    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.03/30.45         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.45    (5)  all_56_11 = e3
% 186.03/30.45    (6)   ~ (all_52_6 = e0)
% 186.03/30.45    (7)   ~ (e2 = e0)
% 186.03/30.45    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.45    (9)  op(e1, e2) = all_52_6
% 186.03/30.45  
% 186.03/30.45  Begin of proof
% 186.03/30.45  | 
% 186.03/30.45  | BETA: splitting (4) gives:
% 186.03/30.45  | 
% 186.03/30.45  | Case 1:
% 186.03/30.45  | | 
% 186.03/30.45  | |   (10)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 186.03/30.45  | |           e0)
% 186.03/30.45  | | 
% 186.03/30.45  | | BETA: splitting (10) gives:
% 186.03/30.45  | | 
% 186.03/30.45  | | Case 1:
% 186.03/30.45  | | | 
% 186.03/30.45  | | |   (11)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.45  | | | 
% 186.03/30.45  | | | REF_CLOSE: (1), (7), (11) are inconsistent by sub-proof #1455.
% 186.03/30.45  | | | 
% 186.03/30.45  | | Case 2:
% 186.03/30.45  | | | 
% 186.03/30.45  | | |   (12)  all_56_7 = e0 & op(e1, e2) = e0
% 186.03/30.45  | | | 
% 186.03/30.45  | | | REF_CLOSE: (6), (8), (9), (12) are inconsistent by sub-proof #1199.
% 186.03/30.45  | | | 
% 186.03/30.45  | | End of split
% 186.03/30.45  | | 
% 186.03/30.45  | Case 2:
% 186.03/30.45  | | 
% 186.03/30.45  | |   (13)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 186.03/30.45  | |           e0)
% 186.03/30.45  | | 
% 186.03/30.45  | | BETA: splitting (13) gives:
% 186.03/30.45  | | 
% 186.03/30.45  | | Case 1:
% 186.03/30.45  | | | 
% 186.03/30.45  | | |   (14)  all_56_8 = e0 & op(e1, e1) = e0
% 186.03/30.45  | | | 
% 186.03/30.45  | | | ALPHA: (14) implies:
% 186.03/30.45  | | |   (15)  op(e1, e1) = e0
% 186.03/30.45  | | | 
% 186.03/30.45  | | | REF_CLOSE: (2), (3), (8), (15) are inconsistent by sub-proof #1252.
% 186.03/30.45  | | | 
% 186.03/30.45  | | Case 2:
% 186.03/30.45  | | | 
% 186.03/30.45  | | |   (16)  all_56_11 = e0 & op(e1, e0) = e0
% 186.03/30.45  | | | 
% 186.03/30.45  | | | ALPHA: (16) implies:
% 186.03/30.45  | | |   (17)  all_56_11 = e0
% 186.03/30.45  | | | 
% 186.03/30.45  | | | REF_CLOSE: (3), (5), (17) are inconsistent by sub-proof #1163.
% 186.03/30.45  | | | 
% 186.03/30.45  | | End of split
% 186.03/30.45  | | 
% 186.03/30.45  | End of split
% 186.03/30.45  | 
% 186.03/30.45  End of proof
% 186.03/30.45  
% 186.03/30.45  Sub-proof #1004 shows that the following formulas are inconsistent:
% 186.03/30.45  ----------------------------------------------------------------
% 186.03/30.45    (1)  op(e2, e1) = e2
% 186.03/30.45    (2)   ~ (e3 = e0)
% 186.03/30.45    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.45           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.45    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 186.03/30.45    (5)   ~ (e3 = e2)
% 186.03/30.45    (6)  op(e3, e1) = e0
% 186.03/30.45    (7)  op(e3, e1) = all_52_8
% 186.03/30.45  
% 186.03/30.45  Begin of proof
% 186.03/30.45  | 
% 186.03/30.45  | BETA: splitting (4) gives:
% 186.03/30.45  | 
% 186.03/30.45  | Case 1:
% 186.03/30.45  | | 
% 186.03/30.45  | |   (8)  all_56_4 = e3 & op(e3, e1) = e3
% 186.03/30.45  | | 
% 186.03/30.45  | | ALPHA: (8) implies:
% 186.03/30.45  | |   (9)  op(e3, e1) = e3
% 186.03/30.45  | | 
% 186.03/30.45  | | REF_CLOSE: (2), (3), (6), (7), (9) are inconsistent by sub-proof #1577.
% 186.03/30.45  | | 
% 186.03/30.45  | Case 2:
% 186.03/30.45  | | 
% 186.03/30.45  | |   (10)  all_56_5 = e3 & op(e2, e1) = e3
% 186.03/30.45  | | 
% 186.03/30.45  | | ALPHA: (10) implies:
% 186.03/30.45  | |   (11)  op(e2, e1) = e3
% 186.03/30.45  | | 
% 186.03/30.45  | | REF_CLOSE: (1), (3), (5), (11) are inconsistent by sub-proof #1297.
% 186.03/30.45  | | 
% 186.03/30.45  | End of split
% 186.03/30.45  | 
% 186.03/30.45  End of proof
% 186.03/30.45  
% 186.03/30.45  Sub-proof #1005 shows that the following formulas are inconsistent:
% 186.03/30.45  ----------------------------------------------------------------
% 186.03/30.45    (1)   ~ (e1 = e0)
% 186.03/30.45    (2)   ~ (e3 = e0)
% 186.03/30.45    (3)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.03/30.45         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.45    (4)  all_56_11 = e3
% 186.03/30.45    (5)   ~ (all_52_6 = e0)
% 186.03/30.45    (6)   ~ (e2 = e0)
% 186.03/30.46    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.46    (8)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 186.03/30.46         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 186.03/30.46    (9)   ~ (e3 = e2)
% 186.03/30.46    (10)  all_56_7 = e1
% 186.03/30.46    (11)  op(e1, e2) = all_52_6
% 186.03/30.46    (12)   ~ (e2 = e1)
% 186.03/30.46    (13)  op(e1, e1) = e1
% 186.03/30.46  
% 186.03/30.46  Begin of proof
% 186.03/30.46  | 
% 186.03/30.46  | BETA: splitting (3) gives:
% 186.03/30.46  | 
% 186.03/30.46  | Case 1:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (14)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 186.03/30.46  | |           e0)
% 186.03/30.46  | | 
% 186.03/30.46  | | BETA: splitting (14) gives:
% 186.03/30.46  | | 
% 186.03/30.46  | | Case 1:
% 186.03/30.46  | | | 
% 186.03/30.46  | | |   (15)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.46  | | | 
% 186.03/30.46  | | | ALPHA: (15) implies:
% 186.03/30.46  | | |   (16)  all_56_6 = e0
% 186.03/30.46  | | | 
% 186.03/30.46  | | | REF_CLOSE: (4), (6), (7), (8), (9), (10), (12), (13), (16) are
% 186.03/30.46  | | |            inconsistent by sub-proof #1007.
% 186.03/30.46  | | | 
% 186.03/30.46  | | Case 2:
% 186.03/30.46  | | | 
% 186.03/30.46  | | |   (17)  all_56_7 = e0 & op(e1, e2) = e0
% 186.03/30.46  | | | 
% 186.03/30.46  | | | REF_CLOSE: (5), (7), (11), (17) are inconsistent by sub-proof #1199.
% 186.03/30.46  | | | 
% 186.03/30.46  | | End of split
% 186.03/30.46  | | 
% 186.03/30.46  | Case 2:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (18)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 186.03/30.46  | |           e0)
% 186.03/30.46  | | 
% 186.03/30.46  | | REF_CLOSE: (1), (2), (4), (7), (13), (18) are inconsistent by sub-proof
% 186.03/30.46  | |            #1006.
% 186.03/30.46  | | 
% 186.03/30.46  | End of split
% 186.03/30.46  | 
% 186.03/30.46  End of proof
% 186.03/30.46  
% 186.03/30.46  Sub-proof #1006 shows that the following formulas are inconsistent:
% 186.03/30.46  ----------------------------------------------------------------
% 186.03/30.46    (1)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.46    (2)   ~ (e1 = e0)
% 186.03/30.46    (3)   ~ (e3 = e0)
% 186.03/30.46    (4)  all_56_11 = e3
% 186.03/30.46    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.46    (6)  op(e1, e1) = e1
% 186.03/30.46  
% 186.03/30.46  Begin of proof
% 186.03/30.46  | 
% 186.03/30.46  | BETA: splitting (1) gives:
% 186.03/30.46  | 
% 186.03/30.46  | Case 1:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (7)  all_56_8 = e0 & op(e1, e1) = e0
% 186.03/30.46  | | 
% 186.03/30.46  | | ALPHA: (7) implies:
% 186.03/30.46  | |   (8)  op(e1, e1) = e0
% 186.03/30.46  | | 
% 186.03/30.46  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1619.
% 186.03/30.46  | | 
% 186.03/30.46  | Case 2:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (9)  all_56_11 = e0 & op(e1, e0) = e0
% 186.03/30.46  | | 
% 186.03/30.46  | | REF_CLOSE: (3), (4), (9) are inconsistent by sub-proof #1203.
% 186.03/30.46  | | 
% 186.03/30.46  | End of split
% 186.03/30.46  | 
% 186.03/30.46  End of proof
% 186.03/30.46  
% 186.03/30.46  Sub-proof #1007 shows that the following formulas are inconsistent:
% 186.03/30.46  ----------------------------------------------------------------
% 186.03/30.46    (1)  all_56_6 = e0
% 186.03/30.46    (2)  all_56_11 = e3
% 186.03/30.46    (3)   ~ (e2 = e0)
% 186.03/30.46    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.46    (5)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 186.03/30.46         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 186.03/30.46    (6)   ~ (e3 = e2)
% 186.03/30.46    (7)  all_56_7 = e1
% 186.03/30.46    (8)   ~ (e2 = e1)
% 186.03/30.46    (9)  op(e1, e1) = e1
% 186.03/30.46  
% 186.03/30.46  Begin of proof
% 186.03/30.46  | 
% 186.03/30.46  | BETA: splitting (5) gives:
% 186.03/30.46  | 
% 186.03/30.46  | Case 1:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (10)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 186.03/30.46  | |           e2)
% 186.03/30.46  | | 
% 186.03/30.46  | | BETA: splitting (10) gives:
% 186.03/30.46  | | 
% 186.03/30.46  | | Case 1:
% 186.03/30.46  | | | 
% 186.03/30.46  | | |   (11)  all_56_6 = e2 & op(e1, e3) = e2
% 186.03/30.46  | | | 
% 186.03/30.46  | | | ALPHA: (11) implies:
% 186.03/30.46  | | |   (12)  all_56_6 = e2
% 186.03/30.46  | | | 
% 186.03/30.46  | | | REF_CLOSE: (1), (3), (12) are inconsistent by sub-proof #1592.
% 186.03/30.46  | | | 
% 186.03/30.46  | | Case 2:
% 186.03/30.46  | | | 
% 186.03/30.46  | | |   (13)  all_56_7 = e2 & op(e1, e2) = e2
% 186.03/30.46  | | | 
% 186.03/30.46  | | | REF_CLOSE: (7), (8), (13) are inconsistent by sub-proof #1008.
% 186.03/30.46  | | | 
% 186.03/30.46  | | End of split
% 186.03/30.46  | | 
% 186.03/30.46  | Case 2:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (14)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 186.03/30.46  | |           e2)
% 186.03/30.46  | | 
% 186.03/30.46  | | BETA: splitting (14) gives:
% 186.03/30.46  | | 
% 186.03/30.46  | | Case 1:
% 186.03/30.46  | | | 
% 186.03/30.46  | | |   (15)  all_56_8 = e2 & op(e1, e1) = e2
% 186.03/30.46  | | | 
% 186.03/30.46  | | | ALPHA: (15) implies:
% 186.03/30.46  | | |   (16)  op(e1, e1) = e2
% 186.03/30.46  | | | 
% 186.03/30.46  | | | REF_CLOSE: (4), (8), (9), (16) are inconsistent by sub-proof #1473.
% 186.03/30.46  | | | 
% 186.03/30.46  | | Case 2:
% 186.03/30.46  | | | 
% 186.03/30.46  | | |   (17)  all_56_11 = e2 & op(e1, e0) = e2
% 186.03/30.46  | | | 
% 186.03/30.46  | | | REF_CLOSE: (2), (6), (17) are inconsistent by sub-proof #1159.
% 186.03/30.46  | | | 
% 186.03/30.46  | | End of split
% 186.03/30.46  | | 
% 186.03/30.46  | End of split
% 186.03/30.46  | 
% 186.03/30.46  End of proof
% 186.03/30.46  
% 186.03/30.46  Sub-proof #1008 shows that the following formulas are inconsistent:
% 186.03/30.46  ----------------------------------------------------------------
% 186.03/30.46    (1)  all_56_7 = e2 & op(e1, e2) = e2
% 186.03/30.46    (2)  all_56_7 = e1
% 186.03/30.46    (3)   ~ (e2 = e1)
% 186.03/30.46  
% 186.03/30.46  Begin of proof
% 186.03/30.46  | 
% 186.03/30.46  | ALPHA: (1) implies:
% 186.03/30.46  |   (4)  all_56_7 = e2
% 186.03/30.46  | 
% 186.03/30.46  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.46  |   (5)  e2 = e1
% 186.03/30.46  | 
% 186.03/30.46  | SIMP: (5) implies:
% 186.03/30.46  |   (6)  e2 = e1
% 186.03/30.46  | 
% 186.03/30.46  | REDUCE: (3), (6) imply:
% 186.03/30.46  |   (7)  $false
% 186.03/30.46  | 
% 186.03/30.46  | CLOSE: (7) is inconsistent.
% 186.03/30.46  | 
% 186.03/30.46  End of proof
% 186.03/30.46  
% 186.03/30.46  Sub-proof #1009 shows that the following formulas are inconsistent:
% 186.03/30.46  ----------------------------------------------------------------
% 186.03/30.46    (1)  all_56_9 = e2
% 186.03/30.46    (2)   ~ (all_4_2 = e0)
% 186.03/30.46    (3)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 186.03/30.46    (4)  op(e2, e1) = e2
% 186.03/30.46    (5)   ~ (e1 = e0)
% 186.03/30.46    (6)   ~ (e3 = e0)
% 186.03/30.46    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.03/30.46         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.46    (8)   ~ (e2 = e0)
% 186.03/30.46    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.46    (10)  all_56_1 = e3
% 186.03/30.46    (11)  op(e3, e3) = all_4_2
% 186.03/30.46    (12)   ~ (e2 = e1)
% 186.03/30.46  
% 186.03/30.46  Begin of proof
% 186.03/30.46  | 
% 186.03/30.46  | BETA: splitting (3) gives:
% 186.03/30.46  | 
% 186.03/30.46  | Case 1:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (13)  all_56_4 = e1 & op(e3, e1) = e1
% 186.03/30.46  | | 
% 186.03/30.46  | | ALPHA: (13) implies:
% 186.03/30.46  | |   (14)  op(e3, e1) = e1
% 186.03/30.46  | | 
% 186.03/30.46  | | REF_CLOSE: (1), (2), (5), (6), (7), (8), (9), (10), (11), (14) are
% 186.03/30.46  | |            inconsistent by sub-proof #1568.
% 186.03/30.46  | | 
% 186.03/30.46  | Case 2:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (15)  all_56_5 = e1 & op(e2, e1) = e1
% 186.03/30.46  | | 
% 186.03/30.46  | | ALPHA: (15) implies:
% 186.03/30.46  | |   (16)  op(e2, e1) = e1
% 186.03/30.46  | | 
% 186.03/30.46  | | REF_CLOSE: (4), (9), (12), (16) are inconsistent by sub-proof #1148.
% 186.03/30.46  | | 
% 186.03/30.46  | End of split
% 186.03/30.46  | 
% 186.03/30.46  End of proof
% 186.03/30.46  
% 186.03/30.46  Sub-proof #1010 shows that the following formulas are inconsistent:
% 186.03/30.46  ----------------------------------------------------------------
% 186.03/30.46    (1)  all_56_6 = e2
% 186.03/30.46    (2)   ~ (all_4_2 = e0)
% 186.03/30.46    (3)   ~ (e3 = e0)
% 186.03/30.46    (4)   ~ (e2 = e0)
% 186.03/30.46    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.46    (6)  op(e2, e3) = e2
% 186.03/30.46    (7)  all_56_12 = e3
% 186.03/30.46    (8)  op(e3, e3) = all_4_2
% 186.03/30.46    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.46         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.46  
% 186.03/30.46  Begin of proof
% 186.03/30.46  | 
% 186.03/30.46  | BETA: splitting (9) gives:
% 186.03/30.46  | 
% 186.03/30.46  | Case 1:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 186.03/30.46  | |           e0)
% 186.03/30.46  | | 
% 186.03/30.46  | | REF_CLOSE: (2), (4), (5), (6), (8), (10) are inconsistent by sub-proof
% 186.03/30.46  | |            #1181.
% 186.03/30.46  | | 
% 186.03/30.46  | Case 2:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (11)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 186.03/30.46  | |           e0)
% 186.03/30.46  | | 
% 186.03/30.46  | | REF_CLOSE: (1), (3), (4), (7), (11) are inconsistent by sub-proof #1098.
% 186.03/30.46  | | 
% 186.03/30.46  | End of split
% 186.03/30.46  | 
% 186.03/30.46  End of proof
% 186.03/30.46  
% 186.03/30.46  Sub-proof #1011 shows that the following formulas are inconsistent:
% 186.03/30.46  ----------------------------------------------------------------
% 186.03/30.46    (1)  all_56_6 = e2
% 186.03/30.46    (2)  op(e0, e3) = e3
% 186.03/30.46    (3)   ~ (all_4_2 = e0)
% 186.03/30.46    (4)   ~ (e1 = e0)
% 186.03/30.46    (5)  op(e1, e3) = all_52_2
% 186.03/30.46    (6)   ~ (e3 = e0)
% 186.03/30.46    (7)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.03/30.46         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.03/30.46    (8)   ~ (e2 = e0)
% 186.03/30.46    (9)   ~ (e3 = e1)
% 186.03/30.46    (10)  op(e0, e3) = all_52_3
% 186.03/30.46    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.46            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.46    (12)  all_56_12 = e3
% 186.03/30.46    (13)  op(e3, e3) = all_4_2
% 186.03/30.46    (14)  op(e3, e3) = e3
% 186.03/30.46    (15)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.46          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.46    (16)   ~ (all_52_2 = e1)
% 186.03/30.46  
% 186.03/30.46  Begin of proof
% 186.03/30.46  | 
% 186.03/30.46  | BETA: splitting (7) gives:
% 186.03/30.46  | 
% 186.03/30.46  | Case 1:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 186.03/30.46  | |           e1)
% 186.03/30.46  | | 
% 186.03/30.46  | | REF_CLOSE: (1), (3), (4), (6), (8), (9), (11), (12), (13), (14), (15), (17)
% 186.03/30.46  | |            are inconsistent by sub-proof #1012.
% 186.03/30.46  | | 
% 186.03/30.46  | Case 2:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (18)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 186.03/30.46  | |           e1)
% 186.03/30.46  | | 
% 186.03/30.46  | | BETA: splitting (18) gives:
% 186.03/30.46  | | 
% 186.03/30.46  | | Case 1:
% 186.03/30.46  | | | 
% 186.03/30.46  | | |   (19)  all_56_6 = e1 & op(e1, e3) = e1
% 186.03/30.46  | | | 
% 186.03/30.46  | | | ALPHA: (19) implies:
% 186.03/30.46  | | |   (20)  op(e1, e3) = e1
% 186.03/30.46  | | | 
% 186.03/30.46  | | | REF_CLOSE: (5), (11), (16), (20) are inconsistent by sub-proof #1597.
% 186.03/30.46  | | | 
% 186.03/30.46  | | Case 2:
% 186.03/30.46  | | | 
% 186.03/30.46  | | |   (21)  all_56_12 = e1 & op(e0, e3) = e1
% 186.03/30.46  | | | 
% 186.03/30.46  | | | ALPHA: (21) implies:
% 186.03/30.46  | | |   (22)  op(e0, e3) = e1
% 186.03/30.46  | | | 
% 186.03/30.46  | | | REF_CLOSE: (2), (9), (10), (11), (22) are inconsistent by sub-proof #1529.
% 186.03/30.46  | | | 
% 186.03/30.46  | | End of split
% 186.03/30.46  | | 
% 186.03/30.46  | End of split
% 186.03/30.46  | 
% 186.03/30.46  End of proof
% 186.03/30.46  
% 186.03/30.46  Sub-proof #1012 shows that the following formulas are inconsistent:
% 186.03/30.46  ----------------------------------------------------------------
% 186.03/30.46    (1)  all_56_6 = e2
% 186.03/30.46    (2)   ~ (all_4_2 = e0)
% 186.03/30.46    (3)   ~ (e1 = e0)
% 186.03/30.46    (4)   ~ (e3 = e0)
% 186.03/30.46    (5)   ~ (e2 = e0)
% 186.03/30.46    (6)   ~ (e3 = e1)
% 186.03/30.46    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.46    (8)  all_56_12 = e3
% 186.03/30.46    (9)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 186.03/30.46    (10)  op(e3, e3) = all_4_2
% 186.03/30.46    (11)  op(e3, e3) = e3
% 186.03/30.46    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.46          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.46  
% 186.03/30.46  Begin of proof
% 186.03/30.46  | 
% 186.03/30.46  | BETA: splitting (9) gives:
% 186.03/30.46  | 
% 186.03/30.46  | Case 1:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (13)  all_56_0 = e1 & op(e3, e3) = e1
% 186.03/30.46  | | 
% 186.03/30.46  | | ALPHA: (13) implies:
% 186.03/30.46  | |   (14)  op(e3, e3) = e1
% 186.03/30.46  | | 
% 186.03/30.46  | | REF_CLOSE: (6), (7), (11), (14) are inconsistent by sub-proof #1600.
% 186.03/30.46  | | 
% 186.03/30.46  | Case 2:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (15)  all_56_2 = e1 & op(e2, e3) = e1
% 186.03/30.46  | | 
% 186.03/30.46  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (10), (12), (15) are
% 186.03/30.46  | |            inconsistent by sub-proof #1013.
% 186.03/30.46  | | 
% 186.03/30.46  | End of split
% 186.03/30.46  | 
% 186.03/30.46  End of proof
% 186.03/30.46  
% 186.03/30.46  Sub-proof #1013 shows that the following formulas are inconsistent:
% 186.03/30.46  ----------------------------------------------------------------
% 186.03/30.46    (1)  all_56_6 = e2
% 186.03/30.46    (2)   ~ (all_4_2 = e0)
% 186.03/30.46    (3)   ~ (e1 = e0)
% 186.03/30.46    (4)   ~ (e3 = e0)
% 186.03/30.46    (5)  all_56_2 = e1 & op(e2, e3) = e1
% 186.03/30.46    (6)   ~ (e2 = e0)
% 186.03/30.46    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.46    (8)  all_56_12 = e3
% 186.03/30.46    (9)  op(e3, e3) = all_4_2
% 186.03/30.46    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.46          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.46  
% 186.03/30.46  Begin of proof
% 186.03/30.46  | 
% 186.03/30.46  | ALPHA: (5) implies:
% 186.03/30.46  |   (11)  all_56_2 = e1
% 186.03/30.46  | 
% 186.03/30.46  | BETA: splitting (10) gives:
% 186.03/30.46  | 
% 186.03/30.46  | Case 1:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 186.03/30.46  | |           e0)
% 186.03/30.46  | | 
% 186.03/30.46  | | REF_CLOSE: (2), (3), (7), (9), (11), (12) are inconsistent by sub-proof
% 186.03/30.46  | |            #1559.
% 186.03/30.46  | | 
% 186.03/30.46  | Case 2:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (13)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 186.03/30.46  | |           e0)
% 186.03/30.46  | | 
% 186.03/30.46  | | BETA: splitting (13) gives:
% 186.03/30.46  | | 
% 186.03/30.46  | | Case 1:
% 186.03/30.46  | | | 
% 186.03/30.46  | | |   (14)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.46  | | | 
% 186.03/30.46  | | | REF_CLOSE: (1), (6), (14) are inconsistent by sub-proof #1455.
% 186.03/30.46  | | | 
% 186.03/30.46  | | Case 2:
% 186.03/30.46  | | | 
% 186.03/30.46  | | |   (15)  all_56_12 = e0 & op(e0, e3) = e0
% 186.03/30.46  | | | 
% 186.03/30.46  | | | ALPHA: (15) implies:
% 186.03/30.46  | | |   (16)  all_56_12 = e0
% 186.03/30.46  | | | 
% 186.03/30.46  | | | REF_CLOSE: (4), (8), (16) are inconsistent by sub-proof #1519.
% 186.03/30.46  | | | 
% 186.03/30.46  | | End of split
% 186.03/30.46  | | 
% 186.03/30.46  | End of split
% 186.03/30.46  | 
% 186.03/30.46  End of proof
% 186.03/30.46  
% 186.03/30.46  Sub-proof #1014 shows that the following formulas are inconsistent:
% 186.03/30.46  ----------------------------------------------------------------
% 186.03/30.46    (1)  all_56_13 = e2
% 186.03/30.46    (2)  all_56_13 = e0
% 186.03/30.46    (3)   ~ (e2 = e0)
% 186.03/30.46  
% 186.03/30.46  Begin of proof
% 186.03/30.46  | 
% 186.03/30.46  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.46  |   (4)  e2 = e0
% 186.03/30.46  | 
% 186.03/30.46  | SIMP: (4) implies:
% 186.03/30.46  |   (5)  e2 = e0
% 186.03/30.46  | 
% 186.03/30.46  | REDUCE: (3), (5) imply:
% 186.03/30.46  |   (6)  $false
% 186.03/30.46  | 
% 186.03/30.46  | CLOSE: (6) is inconsistent.
% 186.03/30.46  | 
% 186.03/30.46  End of proof
% 186.03/30.46  
% 186.03/30.46  Sub-proof #1015 shows that the following formulas are inconsistent:
% 186.03/30.46  ----------------------------------------------------------------
% 186.03/30.46    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.46    (2)  op(e2, e2) = e3
% 186.03/30.46    (3)  op(e2, e2) = e0
% 186.03/30.46    (4)   ~ (e3 = e0)
% 186.03/30.46  
% 186.03/30.46  Begin of proof
% 186.03/30.46  | 
% 186.03/30.46  | GROUND_INST: instantiating (1) with e0, e3, e2, e2, simplifying with (2), (3)
% 186.03/30.46  |              gives:
% 186.03/30.46  |   (5)  e3 = e0
% 186.03/30.46  | 
% 186.03/30.46  | REDUCE: (4), (5) imply:
% 186.03/30.46  |   (6)  $false
% 186.03/30.46  | 
% 186.03/30.46  | CLOSE: (6) is inconsistent.
% 186.03/30.46  | 
% 186.03/30.46  End of proof
% 186.03/30.46  
% 186.03/30.46  Sub-proof #1016 shows that the following formulas are inconsistent:
% 186.03/30.46  ----------------------------------------------------------------
% 186.03/30.46    (1)  all_56_7 = e2
% 186.03/30.46    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 186.03/30.46         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 186.03/30.46    (3)   ~ (e1 = e0)
% 186.03/30.46    (4)  op(e1, e3) = all_52_2
% 186.03/30.46    (5)  all_56_11 = e3
% 186.03/30.46    (6)   ~ (e3 = e1)
% 186.03/30.46    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.46    (8)  op(e1, e1) = e0
% 186.03/30.46    (9)   ~ (e2 = e1)
% 186.03/30.46    (10)   ~ (all_52_2 = e1)
% 186.03/30.46  
% 186.03/30.46  Begin of proof
% 186.03/30.46  | 
% 186.03/30.46  | BETA: splitting (2) gives:
% 186.03/30.46  | 
% 186.03/30.46  | Case 1:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (11)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 186.03/30.46  | |           e1)
% 186.03/30.46  | | 
% 186.03/30.46  | | BETA: splitting (11) gives:
% 186.03/30.46  | | 
% 186.03/30.46  | | Case 1:
% 186.03/30.46  | | | 
% 186.03/30.46  | | |   (12)  all_56_6 = e1 & op(e1, e3) = e1
% 186.03/30.46  | | | 
% 186.03/30.46  | | | ALPHA: (12) implies:
% 186.03/30.46  | | |   (13)  op(e1, e3) = e1
% 186.03/30.46  | | | 
% 186.03/30.46  | | | REF_CLOSE: (4), (7), (10), (13) are inconsistent by sub-proof #1597.
% 186.03/30.46  | | | 
% 186.03/30.46  | | Case 2:
% 186.03/30.46  | | | 
% 186.03/30.46  | | |   (14)  all_56_7 = e1 & op(e1, e2) = e1
% 186.03/30.46  | | | 
% 186.03/30.46  | | | REF_CLOSE: (1), (9), (14) are inconsistent by sub-proof #1018.
% 186.03/30.46  | | | 
% 186.03/30.46  | | End of split
% 186.03/30.46  | | 
% 186.03/30.46  | Case 2:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (15)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 186.03/30.46  | |           e1)
% 186.03/30.46  | | 
% 186.03/30.46  | | REF_CLOSE: (3), (5), (6), (7), (8), (15) are inconsistent by sub-proof
% 186.03/30.46  | |            #1017.
% 186.03/30.46  | | 
% 186.03/30.46  | End of split
% 186.03/30.46  | 
% 186.03/30.46  End of proof
% 186.03/30.46  
% 186.03/30.46  Sub-proof #1017 shows that the following formulas are inconsistent:
% 186.03/30.46  ----------------------------------------------------------------
% 186.03/30.46    (1)   ~ (e1 = e0)
% 186.03/30.46    (2)  all_56_11 = e3
% 186.03/30.46    (3)   ~ (e3 = e1)
% 186.03/30.46    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.46    (5)  op(e1, e1) = e0
% 186.03/30.46    (6)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 186.03/30.46  
% 186.03/30.46  Begin of proof
% 186.03/30.46  | 
% 186.03/30.46  | BETA: splitting (6) gives:
% 186.03/30.46  | 
% 186.03/30.46  | Case 1:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (7)  all_56_8 = e1 & op(e1, e1) = e1
% 186.03/30.46  | | 
% 186.03/30.46  | | ALPHA: (7) implies:
% 186.03/30.46  | |   (8)  op(e1, e1) = e1
% 186.03/30.46  | | 
% 186.03/30.46  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1619.
% 186.03/30.46  | | 
% 186.03/30.46  | Case 2:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (9)  all_56_11 = e1 & op(e1, e0) = e1
% 186.03/30.46  | | 
% 186.03/30.46  | | REF_CLOSE: (2), (3), (9) are inconsistent by sub-proof #1111.
% 186.03/30.46  | | 
% 186.03/30.46  | End of split
% 186.03/30.46  | 
% 186.03/30.46  End of proof
% 186.03/30.46  
% 186.03/30.46  Sub-proof #1018 shows that the following formulas are inconsistent:
% 186.03/30.46  ----------------------------------------------------------------
% 186.03/30.46    (1)  all_56_7 = e1 & op(e1, e2) = e1
% 186.03/30.46    (2)  all_56_7 = e2
% 186.03/30.46    (3)   ~ (e2 = e1)
% 186.03/30.46  
% 186.03/30.46  Begin of proof
% 186.03/30.46  | 
% 186.03/30.46  | ALPHA: (1) implies:
% 186.03/30.46  |   (4)  all_56_7 = e1
% 186.03/30.46  | 
% 186.03/30.46  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.46  |   (5)  e2 = e1
% 186.03/30.46  | 
% 186.03/30.46  | REDUCE: (3), (5) imply:
% 186.03/30.46  |   (6)  $false
% 186.03/30.46  | 
% 186.03/30.46  | CLOSE: (6) is inconsistent.
% 186.03/30.46  | 
% 186.03/30.46  End of proof
% 186.03/30.46  
% 186.03/30.46  Sub-proof #1019 shows that the following formulas are inconsistent:
% 186.03/30.46  ----------------------------------------------------------------
% 186.03/30.46    (1)  all_56_1 = e2
% 186.03/30.46    (2)  all_56_1 = e0
% 186.03/30.46    (3)   ~ (e2 = e0)
% 186.03/30.46  
% 186.03/30.46  Begin of proof
% 186.03/30.46  | 
% 186.03/30.46  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.46  |   (4)  e2 = e0
% 186.03/30.46  | 
% 186.03/30.46  | SIMP: (4) implies:
% 186.03/30.46  |   (5)  e2 = e0
% 186.03/30.46  | 
% 186.03/30.46  | REDUCE: (3), (5) imply:
% 186.03/30.46  |   (6)  $false
% 186.03/30.46  | 
% 186.03/30.46  | CLOSE: (6) is inconsistent.
% 186.03/30.46  | 
% 186.03/30.46  End of proof
% 186.03/30.46  
% 186.03/30.46  Sub-proof #1020 shows that the following formulas are inconsistent:
% 186.03/30.46  ----------------------------------------------------------------
% 186.03/30.46    (1)   ~ (e3 = e0)
% 186.03/30.46    (2)   ~ (e3 = e1)
% 186.03/30.46    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.46    (4)  op(e3, e3) = e1
% 186.03/30.46    (5)  op(e2, e3) = e0
% 186.03/30.46    (6)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 186.03/30.46  
% 186.03/30.46  Begin of proof
% 186.03/30.46  | 
% 186.03/30.46  | BETA: splitting (6) gives:
% 186.03/30.46  | 
% 186.03/30.46  | Case 1:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (7)  all_56_0 = e3 & op(e3, e3) = e3
% 186.03/30.46  | | 
% 186.03/30.46  | | ALPHA: (7) implies:
% 186.03/30.46  | |   (8)  op(e3, e3) = e3
% 186.03/30.46  | | 
% 186.03/30.46  | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #1600.
% 186.03/30.46  | | 
% 186.03/30.46  | Case 2:
% 186.03/30.46  | | 
% 186.03/30.46  | |   (9)  all_56_2 = e3 & op(e2, e3) = e3
% 186.03/30.46  | | 
% 186.03/30.46  | | ALPHA: (9) implies:
% 186.03/30.46  | |   (10)  op(e2, e3) = e3
% 186.03/30.46  | | 
% 186.03/30.46  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1596.
% 186.03/30.46  | | 
% 186.03/30.46  | End of split
% 186.03/30.46  | 
% 186.03/30.46  End of proof
% 186.03/30.46  
% 186.03/30.46  Sub-proof #1021 shows that the following formulas are inconsistent:
% 186.03/30.46  ----------------------------------------------------------------
% 186.03/30.46    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.46           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.46    (2)  op(e1, e3) = e3
% 186.03/30.46    (3)  op(e1, e3) = e2
% 186.03/30.46    (4)   ~ (e3 = e2)
% 186.03/30.46  
% 186.03/30.46  Begin of proof
% 186.03/30.46  | 
% 186.03/30.46  | GROUND_INST: instantiating (1) with e2, e3, e3, e1, simplifying with (2), (3)
% 186.03/30.46  |              gives:
% 186.03/30.46  |   (5)  e3 = e2
% 186.03/30.46  | 
% 186.03/30.46  | REDUCE: (4), (5) imply:
% 186.03/30.46  |   (6)  $false
% 186.03/30.46  | 
% 186.03/30.46  | CLOSE: (6) is inconsistent.
% 186.03/30.46  | 
% 186.03/30.46  End of proof
% 186.03/30.46  
% 186.03/30.46  Sub-proof #1022 shows that the following formulas are inconsistent:
% 186.03/30.46  ----------------------------------------------------------------
% 186.03/30.46    (1)  all_54_6 = all_52_9
% 186.03/30.46    (2)   ~ (all_52_9 = all_10_2)
% 186.03/30.46    (3)  op(e0, e0) = all_6_2
% 186.03/30.46    (4)   ~ (all_52_3 = e1)
% 186.03/30.46    (5)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 186.03/30.46    (6)   ~ (all_4_2 = e0)
% 186.03/30.46    (7)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 186.03/30.46         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.03/30.46    (8)   ~ (all_6_2 = e1)
% 186.03/30.46    (9)   ~ (all_52_6 = all_52_14)
% 186.03/30.46    (10)   ~ (all_52_14 = e0)
% 186.03/30.46    (11)   ~ (all_52_1 = all_10_2)
% 186.03/30.46    (12)   ~ (e1 = e0)
% 186.03/30.46    (13)  op(e1, e3) = all_52_2
% 186.03/30.46    (14)  op(e1, e0) = all_52_14
% 186.03/30.46    (15)   ~ (all_52_7 = all_10_2)
% 186.03/30.46    (16)   ~ (all_52_9 = e0)
% 186.03/30.46    (17)   ~ (e3 = e0)
% 186.03/30.46    (18)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 186.03/30.46          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.03/30.46    (19)  op(e0, e1) = all_52_11
% 186.03/30.46    (20)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.03/30.46          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.46    (21)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.03/30.46          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.03/30.46    (22)   ~ (all_28_2 = e1) | ( ~ (all_28_0 = e0) & op(e1, e1) = all_28_0 &
% 186.03/30.46            $i(all_28_0)) | ( ~ (all_28_1 = e3) & op(e1, e2) = all_28_1 &
% 186.03/30.46            $i(all_28_1))
% 186.03/30.46    (23)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 186.03/30.46    (24)  op(e2, e1) = all_52_9
% 186.03/30.46    (25)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.03/30.46          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.46    (26)   ~ (all_52_6 = e0)
% 186.03/30.46    (27)   ~ (all_10_2 = e0)
% 186.03/30.46    (28)   ~ (all_52_6 = all_52_7)
% 186.03/30.46    (29)   ~ (e3 = e1)
% 186.03/30.46    (30)   ~ (all_6_2 = e2)
% 186.03/30.46    (31)   ~ (all_52_13 = all_10_2)
% 186.03/30.46    (32)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 186.03/30.46    (33)  op(e2, e3) = all_52_1
% 186.03/30.46    (34)  all_54_4 = all_52_1
% 186.03/30.46    (35)   ~ (all_52_1 = e3)
% 186.03/30.46    (36)  op(e0, e3) = all_52_3
% 186.03/30.46    (37)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.46            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.46    (38)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 186.03/30.46    (39)  all_54_5 = all_10_2
% 186.03/30.46    (40)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 186.03/30.46              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 186.03/30.46            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.03/30.46              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.03/30.46            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 186.03/30.46            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 186.03/30.46            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 186.03/30.46            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 186.03/30.46            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 186.03/30.46            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.03/30.46              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 186.03/30.46              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.03/30.46            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 186.03/30.46          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 186.03/30.46              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 186.03/30.46            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 186.03/30.46              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 186.03/30.46            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 186.03/30.46            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 186.03/30.46            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 186.03/30.46            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 186.03/30.46            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.03/30.46              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 186.03/30.46              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 186.03/30.46            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 186.03/30.46            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 186.03/30.46            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 186.03/30.46            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 186.03/30.46            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 186.03/30.46            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 186.03/30.46            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.03/30.46            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 186.03/30.46            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 186.03/30.46            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 186.03/30.46              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 186.03/30.46            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 186.03/30.46            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 186.03/30.46              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 186.03/30.46            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 186.03/30.46            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 186.03/30.46            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 186.03/30.46            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.46            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 186.03/30.46              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 186.03/30.46              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 186.03/30.46            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 186.03/30.46            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 186.03/30.46              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 186.03/30.46            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 186.03/30.46            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.03/30.46            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 186.03/30.46            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 186.03/30.46            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 186.03/30.46                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 186.03/30.46                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 186.03/30.46                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.46                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 186.03/30.46                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 186.03/30.46                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.03/30.46                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.03/30.46                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 186.03/30.46                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.03/30.46                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 186.03/30.46                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 186.03/30.46                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.03/30.46                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.03/30.46                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 186.03/30.46                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.03/30.46                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 186.03/30.46    (41)  all_54_11 = all_52_14
% 186.03/30.46    (42)   ~ (all_52_1 = e1)
% 186.03/30.46    (43)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 186.03/30.46          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 186.03/30.46    (44)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.03/30.46          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.47    (45)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 186.03/30.47          | (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 = e1 & op(e0, e0) =
% 186.03/30.47            e1) | ( ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 & $i(all_57_17))
% 186.03/30.47    (46)  all_54_9 = all_52_6
% 186.03/30.47    (47)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.03/30.47          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.03/30.47    (48)   ~ (all_10_2 = e3)
% 186.03/30.47    (49)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.03/30.47          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.47            e1)
% 186.03/30.47    (50)  all_56_6 = e3
% 186.03/30.47    (51)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.03/30.47          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 186.03/30.47    (52)  op(e2, e0) = all_52_13
% 186.03/30.47    (53)  op(e3, e3) = e1
% 186.03/30.47    (54)  all_28_2 = all_10_2
% 186.03/30.47    (55)  op(e3, e1) = all_52_8
% 186.03/30.47    (56)  op(e1, e3) = e3
% 186.03/30.47    (57)  op(e3, e3) = all_4_2
% 186.03/30.47    (58)  op(e1, e1) = e0
% 186.03/30.47    (59)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 186.03/30.47          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 186.03/30.47    (60)   ~ (all_52_14 = e3)
% 186.03/30.47    (61)   ~ (all_52_2 = e0)
% 186.03/30.47    (62)  op(e1, e2) = all_52_6
% 186.03/30.47    (63)   ~ (all_52_6 = all_10_2)
% 186.03/30.47    (64)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.03/30.47          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.47            e2)
% 186.03/30.47    (65)   ~ (all_52_6 = e3)
% 186.03/30.47    (66)  op(e0, e2) = all_52_7
% 186.03/30.47    (67)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 186.03/30.47    (68)  op(e2, e2) = all_10_2
% 186.03/30.47    (69)   ~ (all_52_8 = e1)
% 186.03/30.47    (70)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.47          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.47    (71)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1) |
% 186.03/30.47          (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) = e1)
% 186.03/30.47  
% 186.03/30.47  Begin of proof
% 186.03/30.47  | 
% 186.03/30.47  | BETA: splitting (22) gives:
% 186.03/30.47  | 
% 186.03/30.47  | Case 1:
% 186.03/30.47  | | 
% 186.03/30.47  | |   (72)   ~ (all_28_2 = e1)
% 186.03/30.47  | | 
% 186.03/30.47  | | REDUCE: (54), (72) imply:
% 186.03/30.47  | |   (73)   ~ (all_10_2 = e1)
% 186.03/30.47  | | 
% 186.03/30.47  | | BETA: splitting (23) gives:
% 186.03/30.47  | | 
% 186.03/30.47  | | Case 1:
% 186.03/30.47  | | | 
% 186.03/30.47  | | |   (74)  all_54_5 = e3
% 186.03/30.47  | | | 
% 186.03/30.47  | | | COMBINE_EQS: (39), (74) imply:
% 186.03/30.47  | | |   (75)  all_10_2 = e3
% 186.03/30.47  | | | 
% 186.03/30.47  | | | REDUCE: (48), (75) imply:
% 186.03/30.47  | | |   (76)  $false
% 186.03/30.47  | | | 
% 186.03/30.47  | | | CLOSE: (76) is inconsistent.
% 186.03/30.47  | | | 
% 186.03/30.47  | | Case 2:
% 186.03/30.47  | | | 
% 186.03/30.47  | | |   (77)   ~ (all_54_5 = e3)
% 186.03/30.47  | | |   (78)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 186.03/30.47  | | | 
% 186.03/30.47  | | | BETA: splitting (78) gives:
% 186.03/30.47  | | | 
% 186.03/30.47  | | | Case 1:
% 186.03/30.47  | | | | 
% 186.03/30.47  | | | |   (79)  all_54_5 = e2
% 186.03/30.47  | | | | 
% 186.03/30.47  | | | | COMBINE_EQS: (39), (79) imply:
% 186.03/30.47  | | | |   (80)  all_10_2 = e2
% 186.03/30.47  | | | | 
% 186.03/30.47  | | | | REDUCE: (11), (80) imply:
% 186.03/30.47  | | | |   (81)   ~ (all_52_1 = e2)
% 186.03/30.47  | | | | 
% 186.03/30.47  | | | | REDUCE: (63), (80) imply:
% 186.03/30.47  | | | |   (82)   ~ (all_52_6 = e2)
% 186.03/30.47  | | | | 
% 186.03/30.47  | | | | REDUCE: (15), (80) imply:
% 186.03/30.47  | | | |   (83)   ~ (all_52_7 = e2)
% 186.03/30.47  | | | | 
% 186.03/30.47  | | | | REDUCE: (2), (80) imply:
% 186.03/30.47  | | | |   (84)   ~ (all_52_9 = e2)
% 186.03/30.47  | | | | 
% 186.03/30.47  | | | | REDUCE: (48), (80) imply:
% 186.03/30.47  | | | |   (85)   ~ (e3 = e2)
% 186.03/30.47  | | | | 
% 186.03/30.47  | | | | SIMP: (85) implies:
% 186.03/30.47  | | | |   (86)   ~ (e3 = e2)
% 186.03/30.47  | | | | 
% 186.03/30.47  | | | | REDUCE: (73), (80) imply:
% 186.03/30.47  | | | |   (87)   ~ (e2 = e1)
% 186.03/30.47  | | | | 
% 186.03/30.47  | | | | REDUCE: (27), (80) imply:
% 186.03/30.47  | | | |   (88)   ~ (e2 = e0)
% 186.03/30.47  | | | | 
% 186.03/30.47  | | | | REDUCE: (68), (80) imply:
% 186.03/30.47  | | | |   (89)  op(e2, e2) = e2
% 186.03/30.47  | | | | 
% 186.03/30.47  | | | | BETA: splitting (43) gives:
% 186.03/30.47  | | | | 
% 186.03/30.47  | | | | Case 1:
% 186.03/30.47  | | | | | 
% 186.03/30.47  | | | | |   (90)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1,
% 186.03/30.47  | | | | |             e2) = e2)
% 186.03/30.47  | | | | | 
% 186.03/30.47  | | | | | REF_CLOSE: (37), (50), (62), (82), (86), (90) are inconsistent by
% 186.03/30.47  | | | | |            sub-proof #1231.
% 186.03/30.47  | | | | | 
% 186.03/30.47  | | | | Case 2:
% 186.03/30.47  | | | | | 
% 186.03/30.47  | | | | |   (91)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1,
% 186.03/30.47  | | | | |             e0) = e2)
% 186.03/30.47  | | | | | 
% 186.03/30.47  | | | | | BETA: splitting (91) gives:
% 186.03/30.47  | | | | | 
% 186.03/30.47  | | | | | Case 1:
% 186.03/30.47  | | | | | | 
% 186.03/30.47  | | | | | |   (92)  all_56_8 = e2 & op(e1, e1) = e2
% 186.03/30.47  | | | | | | 
% 186.03/30.47  | | | | | | ALPHA: (92) implies:
% 186.03/30.47  | | | | | |   (93)  op(e1, e1) = e2
% 186.03/30.47  | | | | | | 
% 186.03/30.47  | | | | | | REF_CLOSE: (37), (58), (88), (93) are inconsistent by sub-proof
% 186.03/30.47  | | | | | |            #1230.
% 186.03/30.47  | | | | | | 
% 186.03/30.47  | | | | | Case 2:
% 186.03/30.47  | | | | | | 
% 186.03/30.47  | | | | | |   (94)  all_56_11 = e2 & op(e1, e0) = e2
% 186.03/30.47  | | | | | | 
% 186.03/30.47  | | | | | | ALPHA: (94) implies:
% 186.03/30.47  | | | | | |   (95)  all_56_11 = e2
% 186.03/30.47  | | | | | | 
% 186.03/30.47  | | | | | | BETA: splitting (21) gives:
% 186.03/30.47  | | | | | | 
% 186.03/30.47  | | | | | | Case 1:
% 186.03/30.47  | | | | | | | 
% 186.03/30.47  | | | | | | |   (96)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 &
% 186.03/30.47  | | | | | | |           op(e2, e3) = e2)
% 186.03/30.47  | | | | | | | 
% 186.03/30.47  | | | | | | | BETA: splitting (96) gives:
% 186.03/30.47  | | | | | | | 
% 186.03/30.47  | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | 
% 186.03/30.47  | | | | | | | |   (97)  all_56_0 = e2 & op(e3, e3) = e2
% 186.03/30.47  | | | | | | | | 
% 186.03/30.47  | | | | | | | | ALPHA: (97) implies:
% 186.03/30.47  | | | | | | | |   (98)  op(e3, e3) = e2
% 186.03/30.47  | | | | | | | | 
% 186.03/30.47  | | | | | | | | REF_CLOSE: (37), (53), (87), (98) are inconsistent by sub-proof
% 186.03/30.47  | | | | | | | |            #1582.
% 186.03/30.47  | | | | | | | | 
% 186.03/30.47  | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | 
% 186.03/30.47  | | | | | | | |   (99)  all_56_2 = e2 & op(e2, e3) = e2
% 186.03/30.47  | | | | | | | | 
% 186.03/30.47  | | | | | | | | ALPHA: (99) implies:
% 186.03/30.47  | | | | | | | |   (100)  op(e2, e3) = e2
% 186.03/30.47  | | | | | | | | 
% 186.03/30.47  | | | | | | | | REF_CLOSE: (5), (33), (34), (35), (37), (42), (81), (100) are
% 186.03/30.47  | | | | | | | |            inconsistent by sub-proof #1075.
% 186.03/30.47  | | | | | | | | 
% 186.03/30.47  | | | | | | | End of split
% 186.03/30.47  | | | | | | | 
% 186.03/30.47  | | | | | | Case 2:
% 186.03/30.47  | | | | | | | 
% 186.03/30.47  | | | | | | |   (101)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 &
% 186.03/30.47  | | | | | | |            op(e0, e3) = e2)
% 186.03/30.47  | | | | | | | 
% 186.03/30.47  | | | | | | | BETA: splitting (101) gives:
% 186.03/30.47  | | | | | | | 
% 186.03/30.47  | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | 
% 186.03/30.47  | | | | | | | |   (102)  all_56_6 = e2 & op(e1, e3) = e2
% 186.03/30.47  | | | | | | | | 
% 186.03/30.47  | | | | | | | | REF_CLOSE: (50), (86), (102) are inconsistent by sub-proof
% 186.03/30.47  | | | | | | | |            #1232.
% 186.03/30.47  | | | | | | | | 
% 186.03/30.47  | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | 
% 186.03/30.47  | | | | | | | |   (103)  all_56_12 = e2 & op(e0, e3) = e2
% 186.03/30.47  | | | | | | | | 
% 186.03/30.47  | | | | | | | | ALPHA: (103) implies:
% 186.03/30.47  | | | | | | | |   (104)  op(e0, e3) = e2
% 186.03/30.47  | | | | | | | | 
% 186.03/30.47  | | | | | | | | BETA: splitting (18) gives:
% 186.03/30.47  | | | | | | | | 
% 186.03/30.47  | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | 
% 186.03/30.47  | | | | | | | | |   (105)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 &
% 186.03/30.47  | | | | | | | | |            op(e2, e0) = e1)
% 186.03/30.47  | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | BETA: splitting (105) gives:
% 186.03/30.47  | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | |   (106)  all_56_9 = e1 & op(e3, e0) = e1
% 186.03/30.47  | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | ALPHA: (106) implies:
% 186.03/30.47  | | | | | | | | | |   (107)  all_56_9 = e1
% 186.03/30.47  | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | REF_CLOSE: (6), (12), (17), (20), (29), (37), (44), (47),
% 186.03/30.47  | | | | | | | | | |            (53), (55), (57), (86), (87), (88), (107) are
% 186.03/30.47  | | | | | | | | | |            inconsistent by sub-proof #1103.
% 186.03/30.47  | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | |   (108)  all_56_10 = e1 & op(e2, e0) = e1
% 186.03/30.47  | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | ALPHA: (108) implies:
% 186.03/30.47  | | | | | | | | | |   (109)  all_56_10 = e1
% 186.03/30.47  | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | BETA: splitting (5) gives:
% 186.03/30.47  | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | |   (110)  all_54_4 = e3
% 186.03/30.47  | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | COMBINE_EQS: (34), (110) imply:
% 186.03/30.47  | | | | | | | | | | |   (111)  all_52_1 = e3
% 186.03/30.47  | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | REDUCE: (35), (111) imply:
% 186.03/30.47  | | | | | | | | | | |   (112)  $false
% 186.03/30.47  | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | CLOSE: (112) is inconsistent.
% 186.03/30.47  | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | |   (113)   ~ (all_54_4 = e3)
% 186.03/30.47  | | | | | | | | | | |   (114)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 186.03/30.47  | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | BETA: splitting (114) gives:
% 186.03/30.47  | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | |   (115)  all_54_4 = e2
% 186.03/30.47  | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | COMBINE_EQS: (34), (115) imply:
% 186.03/30.47  | | | | | | | | | | | |   (116)  all_52_1 = e2
% 186.03/30.47  | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | REDUCE: (81), (116) imply:
% 186.03/30.47  | | | | | | | | | | | |   (117)  $false
% 186.03/30.47  | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | CLOSE: (117) is inconsistent.
% 186.03/30.47  | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | |   (118)   ~ (all_54_4 = e2)
% 186.03/30.47  | | | | | | | | | | | |   (119)  all_54_4 = e1 | all_54_4 = e0
% 186.03/30.47  | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | BETA: splitting (59) gives:
% 186.03/30.47  | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | |   (120)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 186.03/30.47  | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 186.03/30.47  | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | BETA: splitting (120) gives:
% 186.03/30.47  | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | |   (121)  all_56_2 = e3 & op(e2, e3) = e3
% 186.03/30.47  | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | ALPHA: (121) implies:
% 186.03/30.47  | | | | | | | | | | | | | |   (122)  op(e2, e3) = e3
% 186.03/30.47  | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | REF_CLOSE: (33), (34), (35), (37), (42), (119), (122) are
% 186.03/30.47  | | | | | | | | | | | | | |            inconsistent by sub-proof #1082.
% 186.03/30.47  | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | |   (123)  all_56_3 = e3 & op(e2, e2) = e3
% 186.03/30.47  | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | ALPHA: (123) implies:
% 186.03/30.47  | | | | | | | | | | | | | |   (124)  op(e2, e2) = e3
% 186.03/30.47  | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | REF_CLOSE: (37), (86), (89), (124) are inconsistent by
% 186.03/30.47  | | | | | | | | | | | | | |            sub-proof #1602.
% 186.03/30.47  | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | End of split
% 186.03/30.47  | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | |   (125)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 186.03/30.47  | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 186.03/30.47  | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | BETA: splitting (125) gives:
% 186.03/30.47  | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | |   (126)  all_56_5 = e3 & op(e2, e1) = e3
% 186.03/30.47  | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | ALPHA: (126) implies:
% 186.03/30.47  | | | | | | | | | | | | | |   (127)  op(e2, e1) = e3
% 186.03/30.47  | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 186.03/30.47  | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | |   (128)  all_54_9 = e3
% 186.03/30.47  | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | REF_CLOSE: (46), (65), (128) are inconsistent by sub-proof
% 186.03/30.47  | | | | | | | | | | | | | | |            #1061.
% 186.03/30.47  | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | |   (129)   ~ (all_54_9 = e3)
% 186.03/30.47  | | | | | | | | | | | | | | |   (130)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 186.03/30.47  | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 186.03/30.47  | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | |   (131)  all_54_9 = e2
% 186.03/30.47  | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | REF_CLOSE: (46), (82), (131) are inconsistent by sub-proof
% 186.03/30.47  | | | | | | | | | | | | | | | |            #1323.
% 186.03/30.47  | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | |   (132)   ~ (all_54_9 = e2)
% 186.03/30.47  | | | | | | | | | | | | | | | |   (133)  all_54_9 = e1 | all_54_9 = e0
% 186.03/30.47  | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | BETA: splitting (71) gives:
% 186.03/30.47  | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | |   (134)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 186.03/30.47  | | | | | | | | | | | | | | | | |            & op(e2, e1) = e1)
% 186.03/30.47  | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (37), (55), (69), (127), (134) are
% 186.03/30.47  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1041.
% 186.03/30.47  | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | |   (135)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 186.03/30.47  | | | | | | | | | | | | | | | | |            e1 & op(e0, e1) = e1)
% 186.03/30.47  | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 186.03/30.47  | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | |   (136)  all_56_8 = e1 & op(e1, e1) = e1
% 186.03/30.47  | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | ALPHA: (136) implies:
% 186.03/30.47  | | | | | | | | | | | | | | | | | |   (137)  op(e1, e1) = e1
% 186.03/30.47  | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (17), (25), (26), (37), (56), (62), (88),
% 186.03/30.47  | | | | | | | | | | | | | | | | | |            (95), (137) are inconsistent by sub-proof #1109.
% 186.03/30.47  | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | |   (138)  all_56_14 = e1 & op(e0, e1) = e1
% 186.03/30.47  | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | ALPHA: (138) implies:
% 186.03/30.47  | | | | | | | | | | | | | | | | | |   (139)  op(e0, e1) = e1
% 186.03/30.47  | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | |   (140)  all_54_9 = e1
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (46), (140) imply:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | |   (141)  all_52_6 = e1
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | SIMP: (141) implies:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | |   (142)  all_52_6 = e1
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | REDUCE: (9), (142) imply:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | |   (143)   ~ (all_52_14 = e1)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | SIMP: (143) implies:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | |   (144)   ~ (all_52_14 = e1)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | REDUCE: (65), (142) imply:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | |   (145)   ~ (e3 = e1)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | REDUCE: (82), (142) imply:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | |   (146)   ~ (e2 = e1)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | |   (147)  all_54_11 = e3
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (41), (60), (147) are inconsistent by sub-proof
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | |            #1336.
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | |   (148)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |   (149)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |   (150)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (151)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (151) implies:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (152)  op(e2, e3) = e3
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (34), (35), (37), (42), (119), (152) are
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1082.
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (153)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (153) implies:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (154)  all_57_17 = e3
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (155)   ~ (all_57_28 = e1)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | |   (156)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e2) = e1)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (157)  all_57_28 = e1 & op(e3, e3) = e1
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (157) implies:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (158)  all_57_28 = e1
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (155), (158) imply:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (159)  $false
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (159) is inconsistent.
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (160)  all_57_29 = e1 & op(e2, e2) = e1
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (160) implies:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (161)  op(e2, e2) = e1
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (87), (89), (161) are inconsistent by
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1487.
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | |   (162)  (all_57_30 = e1 & op(e1, e1) = e1) | (all_57_31 =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & $i(all_57_17))
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (163)  all_57_30 = e1 & op(e1, e1) = e1
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (163) implies:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (164)  op(e1, e1) = e1
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (17), (25), (26), (37), (56), (62), (88),
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |            (95), (164) are inconsistent by sub-proof #1109.
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |   (165)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_17 = e3) & op(e3, e1) = all_57_17 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_17))
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (8), (37), (154), (165) are inconsistent by
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1040.
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |   (166)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (167)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_17) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (167) implies:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (168)  op(e0, e3) = e3
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (86), (104), (168) are inconsistent by
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1039.
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (169)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |            all_57_21) = all_57_7 & op(e2, all_57_29) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (169) implies:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (170)  op(e2, e3) = e2
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (34), (37), (42), (81), (119), (170) are
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1077.
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |   (171)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |   (172)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (16), (24), (37), (38), (66), (83), (84),
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            (172) are inconsistent by sub-proof #1038.
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |   (173)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (174)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (174) implies:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (175)  op(e3, e1) = e1
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (55), (69), (175) are inconsistent by
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1611.
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |   (176)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 186.03/30.47  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |   (177)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (177) implies:
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |   (178)  op(e2, e1) = e1
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (37), (127), (178) are inconsistent by
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1456.
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |   (179)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0))))
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (179) implies:
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |   (180)  op(e0, e1) = all_57_27
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |   (181)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (14), (19), (37), (41), (139), (144), (148),
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | |            (180), (181) are inconsistent by sub-proof #1035.
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | Case 2:
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | |   (182)  all_54_9 = e0
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (46), (182) are inconsistent by sub-proof
% 186.03/30.48  | | | | | | | | | | | | | | | | | | |            #1321.
% 186.03/30.48  | | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | Case 2:
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | |   (183)  all_56_10 = e3 & op(e2, e0) = e3
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | ALPHA: (183) implies:
% 186.03/30.48  | | | | | | | | | | | | | |   (184)  all_56_10 = e3
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | REF_CLOSE: (29), (109), (184) are inconsistent by sub-proof
% 186.03/30.48  | | | | | | | | | | | | | |            #1489.
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | 
% 186.03/30.48  | | | | | | | | Case 2:
% 186.03/30.48  | | | | | | | | | 
% 186.03/30.48  | | | | | | | | |   (185)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1
% 186.03/30.48  | | | | | | | | |            & op(e0, e0) = e1)
% 186.03/30.48  | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | REF_CLOSE: (3), (8), (37), (43), (50), (58), (62), (82), (86),
% 186.03/30.48  | | | | | | | | |            (87), (88), (185) are inconsistent by sub-proof
% 186.03/30.48  | | | | | | | | |            #1034.
% 186.03/30.48  | | | | | | | | | 
% 186.03/30.48  | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | 
% 186.03/30.48  | | | | | | | End of split
% 186.03/30.48  | | | | | | | 
% 186.03/30.48  | | | | | | End of split
% 186.03/30.48  | | | | | | 
% 186.03/30.48  | | | | | End of split
% 186.03/30.48  | | | | | 
% 186.03/30.48  | | | | End of split
% 186.03/30.48  | | | | 
% 186.03/30.48  | | | Case 2:
% 186.03/30.48  | | | | 
% 186.03/30.48  | | | |   (186)  all_54_5 = e1 | all_54_5 = e0
% 186.03/30.48  | | | | 
% 186.03/30.48  | | | | REF_CLOSE: (27), (39), (73), (186) are inconsistent by sub-proof #1353.
% 186.03/30.48  | | | | 
% 186.03/30.48  | | | End of split
% 186.03/30.48  | | | 
% 186.03/30.48  | | End of split
% 186.03/30.48  | | 
% 186.03/30.48  | Case 2:
% 186.03/30.48  | | 
% 186.03/30.48  | |   (187)  all_28_2 = e1
% 186.03/30.48  | | 
% 186.03/30.48  | | COMBINE_EQS: (54), (187) imply:
% 186.03/30.48  | |   (188)  all_10_2 = e1
% 186.03/30.48  | | 
% 186.03/30.48  | | SIMP: (188) implies:
% 186.03/30.48  | |   (189)  all_10_2 = e1
% 186.03/30.48  | | 
% 186.03/30.48  | | REDUCE: (63), (189) imply:
% 186.03/30.48  | |   (190)   ~ (all_52_6 = e1)
% 186.03/30.48  | | 
% 186.03/30.48  | | REDUCE: (2), (189) imply:
% 186.03/30.48  | |   (191)   ~ (all_52_9 = e1)
% 186.03/30.48  | | 
% 186.03/30.48  | | REDUCE: (31), (189) imply:
% 186.03/30.48  | |   (192)   ~ (all_52_13 = e1)
% 186.03/30.48  | | 
% 186.03/30.48  | | REDUCE: (48), (189) imply:
% 186.03/30.48  | |   (193)   ~ (e3 = e1)
% 186.03/30.48  | | 
% 186.03/30.48  | | REDUCE: (68), (189) imply:
% 186.03/30.48  | |   (194)  op(e2, e2) = e1
% 186.03/30.48  | | 
% 186.03/30.48  | | BETA: splitting (67) gives:
% 186.03/30.48  | | 
% 186.03/30.48  | | Case 1:
% 186.03/30.48  | | | 
% 186.03/30.48  | | |   (195)  all_54_9 = e3
% 186.03/30.48  | | | 
% 186.03/30.48  | | | COMBINE_EQS: (46), (195) imply:
% 186.03/30.48  | | |   (196)  all_52_6 = e3
% 186.03/30.48  | | | 
% 186.03/30.48  | | | REDUCE: (65), (196) imply:
% 186.03/30.48  | | |   (197)  $false
% 186.03/30.48  | | | 
% 186.03/30.48  | | | CLOSE: (197) is inconsistent.
% 186.03/30.48  | | | 
% 186.03/30.48  | | Case 2:
% 186.03/30.48  | | | 
% 186.03/30.48  | | |   (198)   ~ (all_54_9 = e3)
% 186.03/30.48  | | |   (199)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 186.03/30.48  | | | 
% 186.03/30.48  | | | BETA: splitting (199) gives:
% 186.03/30.48  | | | 
% 186.03/30.48  | | | Case 1:
% 186.03/30.48  | | | | 
% 186.03/30.48  | | | |   (200)  all_54_9 = e2
% 186.03/30.48  | | | | 
% 186.03/30.48  | | | | COMBINE_EQS: (46), (200) imply:
% 186.03/30.48  | | | |   (201)  all_52_6 = e2
% 186.03/30.48  | | | | 
% 186.03/30.48  | | | | REDUCE: (28), (201) imply:
% 186.03/30.48  | | | |   (202)   ~ (all_52_7 = e2)
% 186.03/30.48  | | | | 
% 186.03/30.48  | | | | SIMP: (202) implies:
% 186.03/30.48  | | | |   (203)   ~ (all_52_7 = e2)
% 186.03/30.48  | | | | 
% 186.03/30.48  | | | | REDUCE: (65), (201) imply:
% 186.03/30.48  | | | |   (204)   ~ (e3 = e2)
% 186.03/30.48  | | | | 
% 186.03/30.48  | | | | SIMP: (204) implies:
% 186.03/30.48  | | | |   (205)   ~ (e3 = e2)
% 186.03/30.48  | | | | 
% 186.03/30.48  | | | | REDUCE: (190), (201) imply:
% 186.03/30.48  | | | |   (206)   ~ (e2 = e1)
% 186.03/30.48  | | | | 
% 186.03/30.48  | | | | REDUCE: (26), (201) imply:
% 186.03/30.48  | | | |   (207)   ~ (e2 = e0)
% 186.03/30.48  | | | | 
% 186.03/30.48  | | | | BETA: splitting (43) gives:
% 186.03/30.48  | | | | 
% 186.03/30.48  | | | | Case 1:
% 186.03/30.48  | | | | | 
% 186.03/30.48  | | | | |   (208)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1,
% 186.03/30.48  | | | | |              e2) = e2)
% 186.03/30.48  | | | | | 
% 186.03/30.48  | | | | | BETA: splitting (208) gives:
% 186.03/30.48  | | | | | 
% 186.03/30.48  | | | | | Case 1:
% 186.03/30.48  | | | | | | 
% 186.03/30.48  | | | | | |   (209)  all_56_6 = e2 & op(e1, e3) = e2
% 186.03/30.48  | | | | | | 
% 186.03/30.48  | | | | | | REF_CLOSE: (50), (205), (209) are inconsistent by sub-proof #1232.
% 186.03/30.48  | | | | | | 
% 186.03/30.48  | | | | | Case 2:
% 186.03/30.48  | | | | | | 
% 186.03/30.48  | | | | | |   (210)  all_56_7 = e2 & op(e1, e2) = e2
% 186.03/30.48  | | | | | | 
% 186.03/30.48  | | | | | | ALPHA: (210) implies:
% 186.03/30.48  | | | | | |   (211)  all_56_7 = e2
% 186.03/30.48  | | | | | | 
% 186.03/30.48  | | | | | | BETA: splitting (49) gives:
% 186.03/30.48  | | | | | | 
% 186.03/30.48  | | | | | | Case 1:
% 186.03/30.48  | | | | | | | 
% 186.03/30.48  | | | | | | |   (212)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 &
% 186.03/30.48  | | | | | | |            op(e0, e2) = e1)
% 186.03/30.48  | | | | | | | 
% 186.03/30.48  | | | | | | | BETA: splitting (212) gives:
% 186.03/30.48  | | | | | | | 
% 186.03/30.48  | | | | | | | Case 1:
% 186.03/30.48  | | | | | | | | 
% 186.03/30.48  | | | | | | | |   (213)  all_56_12 = e1 & op(e0, e3) = e1
% 186.03/30.48  | | | | | | | | 
% 186.03/30.48  | | | | | | | | REF_CLOSE: (4), (36), (37), (213) are inconsistent by sub-proof
% 186.03/30.48  | | | | | | | |            #1106.
% 186.03/30.48  | | | | | | | | 
% 186.03/30.48  | | | | | | | Case 2:
% 186.03/30.48  | | | | | | | | 
% 186.03/30.48  | | | | | | | |   (214)  all_56_13 = e1 & op(e0, e2) = e1
% 186.03/30.48  | | | | | | | | 
% 186.03/30.48  | | | | | | | | ALPHA: (214) implies:
% 186.03/30.48  | | | | | | | |   (215)  all_56_13 = e1
% 186.03/30.48  | | | | | | | | 
% 186.03/30.48  | | | | | | | | REF_CLOSE: (7), (12), (17), (26), (29), (37), (51), (62), (194),
% 186.03/30.48  | | | | | | | |            (205), (211), (215) are inconsistent by sub-proof
% 186.03/30.48  | | | | | | | |            #1031.
% 186.03/30.48  | | | | | | | | 
% 186.03/30.48  | | | | | | | End of split
% 186.03/30.48  | | | | | | | 
% 186.03/30.48  | | | | | | Case 2:
% 186.03/30.48  | | | | | | | 
% 186.03/30.48  | | | | | | |   (216)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 186.03/30.48  | | | | | | |            op(e0, e0) = e1)
% 186.03/30.48  | | | | | | | 
% 186.03/30.48  | | | | | | | BETA: splitting (216) gives:
% 186.03/30.48  | | | | | | | 
% 186.03/30.48  | | | | | | | Case 1:
% 186.03/30.48  | | | | | | | | 
% 186.03/30.48  | | | | | | | |   (217)  all_56_14 = e1 & op(e0, e1) = e1
% 186.03/30.48  | | | | | | | | 
% 186.03/30.48  | | | | | | | | ALPHA: (217) implies:
% 186.03/30.48  | | | | | | | |   (218)  all_56_14 = e1
% 186.03/30.48  | | | | | | | |   (219)  op(e0, e1) = e1
% 186.03/30.48  | | | | | | | | 
% 186.03/30.48  | | | | | | | | BETA: splitting (64) gives:
% 186.03/30.48  | | | | | | | | 
% 186.03/30.48  | | | | | | | | Case 1:
% 186.03/30.48  | | | | | | | | | 
% 186.03/30.48  | | | | | | | | |   (220)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2
% 186.03/30.48  | | | | | | | | |            & op(e0, e2) = e2)
% 186.03/30.48  | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | BETA: splitting (220) gives:
% 186.03/30.48  | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | Case 1:
% 186.03/30.48  | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | |   (221)  all_56_12 = e2 & op(e0, e3) = e2
% 186.03/30.48  | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | ALPHA: (221) implies:
% 186.03/30.48  | | | | | | | | | |   (222)  all_56_12 = e2
% 186.03/30.48  | | | | | | | | | |   (223)  op(e0, e3) = e2
% 186.03/30.48  | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | BETA: splitting (70) gives:
% 186.03/30.48  | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | Case 1:
% 186.03/30.48  | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | |   (224)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 186.03/30.48  | | | | | | | | | | |            & op(e2, e3) = e0)
% 186.03/30.48  | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | BETA: splitting (224) gives:
% 186.03/30.48  | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | Case 1:
% 186.03/30.48  | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | |   (225)  all_56_0 = e0 & op(e3, e3) = e0
% 186.03/30.48  | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | ALPHA: (225) implies:
% 186.03/30.48  | | | | | | | | | | | |   (226)  op(e3, e3) = e0
% 186.03/30.48  | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | REF_CLOSE: (6), (37), (57), (226) are inconsistent by
% 186.03/30.48  | | | | | | | | | | | |            sub-proof #1624.
% 186.03/30.48  | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | Case 2:
% 186.03/30.48  | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | |   (227)  all_56_2 = e0 & op(e2, e3) = e0
% 186.03/30.48  | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | ALPHA: (227) implies:
% 186.03/30.48  | | | | | | | | | | | |   (228)  op(e2, e3) = e0
% 186.03/30.48  | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | BETA: splitting (40) gives:
% 186.03/30.48  | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | Case 1:
% 186.03/30.48  | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | |   (229)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.03/30.48  | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.03/30.48  | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.03/30.48  | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.03/30.48  | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.03/30.48  | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.03/30.48  | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.03/30.48  | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.03/30.48  | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.03/30.48  | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.03/30.48  | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.03/30.48  | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.03/30.48  | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.03/30.48  | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.03/30.48  | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.03/30.48  | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.03/30.48  | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.03/30.48  | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.03/30.48  | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 186.03/30.48  | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.03/30.48  | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.03/30.48  | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.03/30.48  | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.03/30.48  | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.03/30.48  | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.03/30.48  | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.03/30.48  | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.03/30.48  | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.03/30.48  | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.03/30.48  | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.03/30.48  | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.03/30.48  | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.03/30.48  | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.03/30.48  | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.03/30.48  | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.03/30.48  | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.03/30.48  | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.03/30.48  | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.03/30.48  | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | BETA: splitting (229) gives:
% 186.03/30.48  | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | Case 1:
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | |   (230)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.03/30.48  | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.03/30.48  | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.03/30.48  | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.03/30.48  | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.03/30.48  | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.03/30.48  | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.03/30.48  | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.03/30.48  | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.03/30.48  | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.03/30.48  | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.03/30.48  | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.03/30.48  | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.03/30.48  | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.03/30.48  | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.03/30.48  | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.03/30.48  | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.03/30.48  | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.03/30.48  | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | Case 1:
% 186.03/30.48  | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | |   (231)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.03/30.48  | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 186.03/30.48  | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 186.03/30.48  | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 186.03/30.48  | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.03/30.48  | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 186.03/30.48  | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 186.03/30.48  | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 186.03/30.48  | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 186.03/30.48  | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | ALPHA: (231) implies:
% 186.03/30.48  | | | | | | | | | | | | | | |   (232)  op(e2, e3) = e3
% 186.03/30.48  | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | REF_CLOSE: (17), (37), (228), (232) are inconsistent by
% 186.03/30.48  | | | | | | | | | | | | | | |            sub-proof #1596.
% 186.03/30.48  | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | Case 2:
% 186.03/30.48  | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | |   (233)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 186.03/30.48  | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 186.03/30.48  | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 186.03/30.48  | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 186.03/30.48  | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.03/30.48  | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 186.03/30.48  | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.03/30.48  | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 186.03/30.48  | | | | | | | | | | | | | | |          $i(all_57_28)
% 186.03/30.48  | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | ALPHA: (233) implies:
% 186.03/30.48  | | | | | | | | | | | | | | |   (234)   ~ (all_57_28 = e1)
% 186.03/30.48  | | | | | | | | | | | | | | |   (235)  op(e3, e3) = all_57_28
% 186.03/30.48  | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | REF_CLOSE: (37), (53), (234), (235) are inconsistent by
% 186.03/30.48  | | | | | | | | | | | | | | |            sub-proof #1030.
% 186.03/30.48  | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | Case 2:
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | |   (236)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.03/30.48  | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.03/30.48  | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.03/30.48  | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.03/30.48  | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.03/30.48  | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.03/30.48  | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.03/30.48  | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.03/30.48  | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.03/30.48  | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.03/30.48  | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.03/30.48  | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.03/30.48  | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.03/30.48  | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.03/30.48  | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.03/30.48  | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.03/30.48  | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.03/30.48  | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.03/30.48  | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | REF_CLOSE: (37), (205), (207), (223), (228), (236) are
% 186.03/30.48  | | | | | | | | | | | | | |            inconsistent by sub-proof #1029.
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | Case 2:
% 186.03/30.48  | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | |   (237)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.03/30.48  | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.03/30.48  | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.03/30.48  | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.03/30.48  | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.03/30.48  | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.03/30.48  | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.03/30.48  | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.03/30.48  | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.03/30.48  | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.03/30.48  | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.03/30.48  | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.03/30.48  | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.03/30.48  | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.03/30.48  | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.03/30.48  | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.03/30.48  | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.03/30.48  | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.03/30.48  | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 186.03/30.48  | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.03/30.48  | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.03/30.48  | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.03/30.48  | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.48  | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.03/30.48  | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.03/30.48  | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.03/30.48  | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.03/30.48  | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.03/30.48  | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.03/30.48  | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.03/30.48  | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.03/30.48  | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.03/30.48  | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.03/30.48  | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.03/30.48  | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.03/30.48  | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.03/30.48  | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.03/30.48  | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.03/30.48  | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.03/30.48  | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.03/30.48  | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.03/30.48  | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.03/30.48  | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.48  | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.03/30.48  | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.03/30.48  | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.03/30.48  | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.03/30.48  | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.03/30.48  | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.03/30.48  | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.03/30.48  | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.03/30.48  | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.03/30.48  | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.03/30.48  | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.03/30.48  | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.03/30.48  | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.03/30.48  | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.03/30.48  | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.03/30.48  | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.03/30.48  | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.03/30.48  | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.03/30.48  | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | |                      e0) = e0)))))
% 186.03/30.48  | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | BETA: splitting (237) gives:
% 186.03/30.48  | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | Case 1:
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | |   (238)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.03/30.48  | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.03/30.48  | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.03/30.48  | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.03/30.48  | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.03/30.48  | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.03/30.48  | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.03/30.48  | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.03/30.48  | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.03/30.48  | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.03/30.48  | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.03/30.48  | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.03/30.48  | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.03/30.48  | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.03/30.48  | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.03/30.48  | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.03/30.48  | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.03/30.48  | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.03/30.48  | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | REF_CLOSE: (37), (66), (194), (203), (238) are inconsistent
% 186.03/30.48  | | | | | | | | | | | | | |            by sub-proof #1027.
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | Case 2:
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | |   (239)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.03/30.48  | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.03/30.48  | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.03/30.48  | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.48  | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.03/30.48  | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.03/30.48  | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.03/30.48  | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.03/30.48  | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.03/30.48  | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.03/30.48  | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.03/30.48  | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.03/30.48  | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.03/30.48  | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.03/30.48  | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.03/30.48  | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.03/30.48  | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.03/30.48  | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.03/30.48  | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.03/30.48  | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.03/30.48  | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.03/30.48  | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.03/30.48  | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.03/30.48  | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.48  | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.03/30.48  | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.03/30.48  | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.03/30.48  | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.03/30.48  | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.03/30.48  | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.03/30.48  | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.03/30.48  | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.03/30.48  | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.03/30.48  | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.03/30.48  | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.03/30.48  | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.03/30.48  | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.03/30.48  | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.03/30.48  | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.03/30.48  | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.03/30.48  | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.03/30.48  | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.03/30.48  | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | Case 1:
% 186.03/30.48  | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | |   (240)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.03/30.48  | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 186.03/30.48  | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 186.03/30.48  | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 186.03/30.48  | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 186.03/30.48  | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 186.03/30.48  | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 186.03/30.48  | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 186.03/30.48  | | | | | | | | | | | | | | |          $i(all_57_30)
% 186.03/30.48  | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | ALPHA: (240) implies:
% 186.03/30.48  | | | | | | | | | | | | | | |   (241)  op(e3, e1) = e1
% 186.03/30.48  | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | REF_CLOSE: (37), (55), (69), (241) are inconsistent by
% 186.03/30.48  | | | | | | | | | | | | | | |            sub-proof #1611.
% 186.03/30.48  | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | Case 2:
% 186.03/30.48  | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | |   (242)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 186.03/30.48  | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 186.03/30.48  | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 186.03/30.48  | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.03/30.48  | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.03/30.48  | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.03/30.48  | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.03/30.48  | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.03/30.48  | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.03/30.48  | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.03/30.48  | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.03/30.48  | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.03/30.48  | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.03/30.48  | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.03/30.48  | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.48  | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.03/30.48  | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.03/30.48  | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.03/30.48  | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.03/30.48  | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.03/30.48  | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.03/30.48  | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.03/30.48  | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.03/30.48  | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.03/30.48  | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.03/30.48  | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.03/30.48  | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.03/30.48  | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.03/30.48  | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.03/30.48  | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.03/30.48  | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.03/30.48  | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.03/30.48  | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.03/30.48  | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.03/30.48  | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 186.03/30.48  | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | Case 1:
% 186.03/30.48  | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | |   (243)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 186.03/30.48  | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 186.03/30.48  | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.03/30.48  | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 186.03/30.48  | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.03/30.48  | | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 186.03/30.48  | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 186.03/30.48  | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 186.03/30.48  | | | | | | | | | | | | | | | |          $i(all_57_30)
% 186.03/30.48  | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | ALPHA: (243) implies:
% 186.03/30.48  | | | | | | | | | | | | | | | |   (244)  op(e2, e1) = e1
% 186.03/30.48  | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | REF_CLOSE: (24), (37), (191), (244) are inconsistent by
% 186.03/30.48  | | | | | | | | | | | | | | | |            sub-proof #1610.
% 186.03/30.48  | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | Case 2:
% 186.03/30.48  | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | |   (245)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.03/30.48  | | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.03/30.48  | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.03/30.48  | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.03/30.48  | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 186.03/30.48  | | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.48  | | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.03/30.48  | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 186.03/30.48  | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 186.03/30.48  | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 186.03/30.48  | | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 186.03/30.48  | | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 186.03/30.48  | | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 186.03/30.48  | | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 186.03/30.48  | | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 186.03/30.48  | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 186.03/30.48  | | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 186.03/30.48  | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 186.03/30.48  | | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 186.03/30.48  | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.03/30.48  | | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.03/30.48  | | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.03/30.48  | | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 186.03/30.48  | | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | | | |                    e0) = e0))))
% 186.03/30.48  | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | ALPHA: (245) implies:
% 186.03/30.48  | | | | | | | | | | | | | | | |   (246)  op(e0, e1) = all_57_27
% 186.03/30.48  | | | | | | | | | | | | | | | |   (247)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.03/30.48  | | | | | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.03/30.48  | | | | | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.03/30.48  | | | | | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 186.03/30.48  | | | | | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 186.03/30.48  | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.03/30.48  | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 186.03/30.48  | | | | | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 186.03/30.48  | | | | | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.03/30.48  | | | | | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 186.03/30.48  | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 186.03/30.48  | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 186.03/30.48  | | | | | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.03/30.48  | | | | | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 186.03/30.48  | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 186.03/30.48  | | | | | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 186.03/30.48  | | | | | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 186.03/30.48  | | | | | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 186.03/30.48  | | | | | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 186.03/30.48  | | | | | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 186.03/30.48  | | | | | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 186.03/30.48  | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 186.03/30.48  | | | | | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 186.03/30.48  | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | | REF_CLOSE: (19), (37), (56), (219), (246), (247) are
% 186.03/30.48  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1025.
% 186.03/30.48  | | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | Case 2:
% 186.03/30.48  | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | |   (248)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 186.03/30.48  | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 186.03/30.48  | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | BETA: splitting (248) gives:
% 186.03/30.48  | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | Case 1:
% 186.03/30.48  | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | |   (249)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.48  | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | REF_CLOSE: (13), (37), (61), (249) are inconsistent by
% 186.03/30.48  | | | | | | | | | | | |            sub-proof #1197.
% 186.03/30.48  | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | Case 2:
% 186.03/30.48  | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | |   (250)  all_56_12 = e0 & op(e0, e3) = e0
% 186.03/30.48  | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | | REF_CLOSE: (207), (222), (250) are inconsistent by sub-proof
% 186.03/30.48  | | | | | | | | | | | |            #1553.
% 186.03/30.48  | | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | Case 2:
% 186.03/30.48  | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | |   (251)  all_56_13 = e2 & op(e0, e2) = e2
% 186.03/30.48  | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | ALPHA: (251) implies:
% 186.03/30.48  | | | | | | | | | |   (252)  op(e0, e2) = e2
% 186.03/30.48  | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | | REF_CLOSE: (37), (66), (203), (252) are inconsistent by
% 186.03/30.48  | | | | | | | | | |            sub-proof #1613.
% 186.03/30.48  | | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | | 
% 186.03/30.48  | | | | | | | | Case 2:
% 186.03/30.48  | | | | | | | | | 
% 186.03/30.48  | | | | | | | | |   (253)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2
% 186.03/30.48  | | | | | | | | |            & op(e0, e0) = e2)
% 186.03/30.48  | | | | | | | | | 
% 186.03/30.48  | | | | | | | | | REF_CLOSE: (3), (30), (37), (206), (218), (253) are
% 186.03/30.48  | | | | | | | | |            inconsistent by sub-proof #1117.
% 186.03/30.48  | | | | | | | | | 
% 186.03/30.48  | | | | | | | | End of split
% 186.03/30.48  | | | | | | | | 
% 186.03/30.48  | | | | | | | Case 2:
% 186.03/30.48  | | | | | | | | 
% 186.03/30.48  | | | | | | | |   (254)  all_56_15 = e1 & op(e0, e0) = e1
% 186.03/30.48  | | | | | | | | 
% 186.03/30.48  | | | | | | | | ALPHA: (254) implies:
% 186.03/30.48  | | | | | | | |   (255)  op(e0, e0) = e1
% 186.03/30.48  | | | | | | | | 
% 186.03/30.48  | | | | | | | | REF_CLOSE: (3), (8), (37), (255) are inconsistent by sub-proof
% 186.03/30.48  | | | | | | | |            #1516.
% 186.03/30.48  | | | | | | | | 
% 186.03/30.48  | | | | | | | End of split
% 186.03/30.48  | | | | | | | 
% 186.03/30.48  | | | | | | End of split
% 186.03/30.48  | | | | | | 
% 186.03/30.48  | | | | | End of split
% 186.03/30.48  | | | | | 
% 186.03/30.48  | | | | Case 2:
% 186.03/30.48  | | | | | 
% 186.03/30.48  | | | | |   (256)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1,
% 186.03/30.48  | | | | |              e0) = e2)
% 186.03/30.48  | | | | | 
% 186.03/30.48  | | | | | BETA: splitting (256) gives:
% 186.03/30.48  | | | | | 
% 186.03/30.48  | | | | | Case 1:
% 186.03/30.48  | | | | | | 
% 186.03/30.48  | | | | | |   (257)  all_56_8 = e2 & op(e1, e1) = e2
% 186.03/30.48  | | | | | | 
% 186.03/30.48  | | | | | | ALPHA: (257) implies:
% 186.03/30.48  | | | | | |   (258)  op(e1, e1) = e2
% 186.03/30.48  | | | | | | 
% 186.03/30.48  | | | | | | REF_CLOSE: (37), (58), (207), (258) are inconsistent by sub-proof
% 186.03/30.48  | | | | | |            #1230.
% 186.03/30.48  | | | | | | 
% 186.03/30.48  | | | | | Case 2:
% 186.03/30.48  | | | | | | 
% 186.03/30.49  | | | | | |   (259)  all_56_11 = e2 & op(e1, e0) = e2
% 186.03/30.49  | | | | | | 
% 186.03/30.49  | | | | | | ALPHA: (259) implies:
% 186.03/30.49  | | | | | |   (260)  all_56_11 = e2
% 186.03/30.49  | | | | | | 
% 186.03/30.49  | | | | | | REF_CLOSE: (3), (6), (8), (12), (17), (18), (20), (29), (37), (44),
% 186.03/30.49  | | | | | |            (47), (52), (53), (55), (57), (192), (205), (206), (207),
% 186.03/30.49  | | | | | |            (260) are inconsistent by sub-proof #1023.
% 186.03/30.49  | | | | | | 
% 186.03/30.49  | | | | | End of split
% 186.03/30.49  | | | | | 
% 186.03/30.49  | | | | End of split
% 186.03/30.49  | | | | 
% 186.03/30.49  | | | Case 2:
% 186.03/30.49  | | | | 
% 186.03/30.49  | | | |   (261)  all_54_9 = e1 | all_54_9 = e0
% 186.03/30.49  | | | | 
% 186.03/30.49  | | | | REF_CLOSE: (26), (46), (190), (261) are inconsistent by sub-proof #1320.
% 186.03/30.49  | | | | 
% 186.03/30.49  | | | End of split
% 186.03/30.49  | | | 
% 186.03/30.49  | | End of split
% 186.03/30.49  | | 
% 186.03/30.49  | End of split
% 186.03/30.49  | 
% 186.03/30.49  End of proof
% 186.03/30.49  
% 186.03/30.49  Sub-proof #1023 shows that the following formulas are inconsistent:
% 186.03/30.49  ----------------------------------------------------------------
% 186.03/30.49    (1)  op(e0, e0) = all_6_2
% 186.03/30.49    (2)   ~ (all_4_2 = e0)
% 186.03/30.49    (3)   ~ (all_6_2 = e1)
% 186.03/30.49    (4)   ~ (e1 = e0)
% 186.03/30.49    (5)   ~ (e3 = e0)
% 186.03/30.49    (6)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 186.03/30.49         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.03/30.49    (7)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.03/30.49         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.49    (8)   ~ (e2 = e0)
% 186.03/30.49    (9)   ~ (e3 = e1)
% 186.03/30.49    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.49            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.49    (11)   ~ (all_52_13 = e1)
% 186.03/30.49    (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.03/30.49          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.49    (13)  all_56_11 = e2
% 186.03/30.49    (14)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.03/30.49          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.03/30.49    (15)  op(e2, e0) = all_52_13
% 186.03/30.49    (16)   ~ (e3 = e2)
% 186.03/30.49    (17)  op(e3, e3) = e1
% 186.03/30.49    (18)  op(e3, e1) = all_52_8
% 186.03/30.49    (19)  op(e3, e3) = all_4_2
% 186.03/30.49    (20)   ~ (e2 = e1)
% 186.03/30.49  
% 186.03/30.49  Begin of proof
% 186.03/30.49  | 
% 186.03/30.49  | BETA: splitting (6) gives:
% 186.03/30.49  | 
% 186.03/30.49  | Case 1:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (21)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 186.03/30.49  | |           e1)
% 186.03/30.49  | | 
% 186.03/30.49  | | REF_CLOSE: (2), (4), (5), (7), (8), (9), (10), (11), (12), (14), (15), (16),
% 186.03/30.49  | |            (17), (18), (19), (20), (21) are inconsistent by sub-proof #1024.
% 186.03/30.49  | | 
% 186.03/30.49  | Case 2:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (22)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.49  | |           e1)
% 186.03/30.49  | | 
% 186.03/30.49  | | REF_CLOSE: (1), (3), (10), (13), (20), (22) are inconsistent by sub-proof
% 186.03/30.49  | |            #1107.
% 186.03/30.49  | | 
% 186.03/30.49  | End of split
% 186.03/30.49  | 
% 186.03/30.49  End of proof
% 186.03/30.49  
% 186.03/30.49  Sub-proof #1024 shows that the following formulas are inconsistent:
% 186.03/30.49  ----------------------------------------------------------------
% 186.03/30.49    (1)   ~ (all_4_2 = e0)
% 186.03/30.49    (2)   ~ (e1 = e0)
% 186.03/30.49    (3)   ~ (e3 = e0)
% 186.03/30.49    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.03/30.49         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.49    (5)   ~ (e2 = e0)
% 186.03/30.49    (6)   ~ (e3 = e1)
% 186.03/30.49    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.49    (8)   ~ (all_52_13 = e1)
% 186.03/30.49    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.03/30.49         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.49    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.03/30.49          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.03/30.49    (11)  op(e2, e0) = all_52_13
% 186.03/30.49    (12)   ~ (e3 = e2)
% 186.03/30.49    (13)  op(e3, e3) = e1
% 186.03/30.49    (14)  op(e3, e1) = all_52_8
% 186.03/30.49    (15)  op(e3, e3) = all_4_2
% 186.03/30.49    (16)   ~ (e2 = e1)
% 186.03/30.49    (17)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 186.03/30.49  
% 186.03/30.49  Begin of proof
% 186.03/30.49  | 
% 186.03/30.49  | BETA: splitting (17) gives:
% 186.03/30.49  | 
% 186.03/30.49  | Case 1:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (18)  all_56_9 = e1 & op(e3, e0) = e1
% 186.03/30.49  | | 
% 186.03/30.49  | | ALPHA: (18) implies:
% 186.03/30.49  | |   (19)  all_56_9 = e1
% 186.03/30.49  | | 
% 186.03/30.49  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (12), (13), (14),
% 186.03/30.49  | |            (15), (16), (19) are inconsistent by sub-proof #1103.
% 186.03/30.49  | | 
% 186.03/30.49  | Case 2:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (20)  all_56_10 = e1 & op(e2, e0) = e1
% 186.03/30.49  | | 
% 186.03/30.49  | | ALPHA: (20) implies:
% 186.03/30.49  | |   (21)  op(e2, e0) = e1
% 186.03/30.49  | | 
% 186.03/30.49  | | REF_CLOSE: (7), (8), (11), (21) are inconsistent by sub-proof #1273.
% 186.03/30.49  | | 
% 186.03/30.49  | End of split
% 186.03/30.49  | 
% 186.03/30.49  End of proof
% 186.03/30.49  
% 186.03/30.49  Sub-proof #1025 shows that the following formulas are inconsistent:
% 186.03/30.49  ----------------------------------------------------------------
% 186.03/30.49    (1)  op(e0, e1) = all_52_11
% 186.03/30.49    (2)  op(e0, e1) = e1
% 186.03/30.49    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.49    (4)  op(e1, e3) = e3
% 186.03/30.49    (5)  op(e0, e1) = all_57_27
% 186.03/30.49    (6)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 =
% 186.03/30.49             e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0)
% 186.03/30.49           & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 186.03/30.49             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.03/30.49           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 186.03/30.49           $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 186.03/30.49           $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 186.03/30.49           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 186.03/30.49           & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 186.03/30.49           op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 186.03/30.49           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 186.03/30.49           $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 186.03/30.49           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.03/30.49               op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 186.03/30.49               e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 186.03/30.49  
% 186.03/30.49  Begin of proof
% 186.03/30.49  | 
% 186.03/30.49  | BETA: splitting (6) gives:
% 186.03/30.49  | 
% 186.03/30.49  | Case 1:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (7)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 186.03/30.49  | |        (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.03/30.49  | |        (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) =
% 186.03/30.49  | |        all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 186.03/30.49  | |        op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 186.03/30.49  | |        $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.03/30.49  | |        $i(all_57_23) & $i(all_57_30)
% 186.03/30.49  | | 
% 186.03/30.49  | | ALPHA: (7) implies:
% 186.03/30.49  | |   (8)   ~ (all_57_8 = e3)
% 186.03/30.49  | |   (9)  op(e1, e3) = all_57_22
% 186.03/30.49  | |   (10)  op(e1, all_57_22) = all_57_8
% 186.03/30.49  | | 
% 186.03/30.49  | | REF_CLOSE: (3), (4), (8), (9), (10) are inconsistent by sub-proof #1026.
% 186.03/30.49  | | 
% 186.03/30.49  | Case 2:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (11)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.03/30.49  | |         (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 186.03/30.49  | |         = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 186.03/30.49  | |         all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.03/30.49  | |           e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.03/30.49  | |         $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.03/30.49  | |         (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 186.03/30.49  | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.03/30.49  | |           (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 186.03/30.49  | | 
% 186.03/30.49  | | ALPHA: (11) implies:
% 186.03/30.49  | |   (12)   ~ (all_57_14 = e1)
% 186.03/30.49  | |   (13)  op(e0, all_57_27) = all_57_14
% 186.03/30.49  | | 
% 186.03/30.49  | | GROUND_INST: instantiating (3) with all_52_11, all_57_27, e1, e0,
% 186.03/30.49  | |              simplifying with (1), (5) gives:
% 186.03/30.49  | |   (14)  all_57_27 = all_52_11
% 186.03/30.49  | | 
% 186.03/30.49  | | REF_CLOSE: (1), (2), (3), (5), (12), (13), (14) are inconsistent by
% 186.03/30.49  | |            sub-proof #1037.
% 186.03/30.49  | | 
% 186.03/30.49  | End of split
% 186.03/30.49  | 
% 186.03/30.49  End of proof
% 186.03/30.49  
% 186.03/30.49  Sub-proof #1026 shows that the following formulas are inconsistent:
% 186.03/30.49  ----------------------------------------------------------------
% 186.03/30.49    (1)  op(e1, all_57_22) = all_57_8
% 186.03/30.49    (2)  op(e1, e3) = all_57_22
% 186.03/30.49    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.49    (4)   ~ (all_57_8 = e3)
% 186.03/30.49    (5)  op(e1, e3) = e3
% 186.03/30.49  
% 186.03/30.49  Begin of proof
% 186.03/30.49  | 
% 186.03/30.49  | GROUND_INST: instantiating (3) with e3, all_57_22, e3, e1, simplifying with
% 186.03/30.49  |              (2), (5) gives:
% 186.03/30.49  |   (6)  all_57_22 = e3
% 186.03/30.49  | 
% 186.03/30.49  | REDUCE: (1), (6) imply:
% 186.03/30.49  |   (7)  op(e1, e3) = all_57_8
% 186.03/30.49  | 
% 186.03/30.49  | GROUND_INST: instantiating (3) with e3, all_57_8, e3, e1, simplifying with
% 186.03/30.49  |              (5), (7) gives:
% 186.03/30.49  |   (8)  all_57_8 = e3
% 186.03/30.49  | 
% 186.03/30.49  | REDUCE: (4), (8) imply:
% 186.03/30.49  |   (9)  $false
% 186.03/30.49  | 
% 186.03/30.49  | CLOSE: (9) is inconsistent.
% 186.03/30.49  | 
% 186.03/30.49  End of proof
% 186.03/30.49  
% 186.03/30.49  Sub-proof #1027 shows that the following formulas are inconsistent:
% 186.03/30.49  ----------------------------------------------------------------
% 186.03/30.49    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.49    (2)  op(e2, e2) = e1
% 186.03/30.49    (3)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 186.03/30.49             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.03/30.49           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 186.03/30.49             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 186.03/30.49           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 186.03/30.49           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 186.03/30.49           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 186.03/30.49           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 186.03/30.49           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 186.03/30.49           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.03/30.49             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 186.03/30.49           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.03/30.49           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 186.03/30.49    (4)   ~ (all_52_7 = e2)
% 186.03/30.49    (5)  op(e0, e2) = all_52_7
% 186.03/30.49  
% 186.03/30.49  Begin of proof
% 186.03/30.49  | 
% 186.03/30.49  | BETA: splitting (3) gives:
% 186.03/30.49  | 
% 186.03/30.49  | Case 1:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (6)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4
% 186.03/30.49  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 186.03/30.49  | |          e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 &
% 186.03/30.49  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 186.03/30.49  | |        all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 186.03/30.49  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 186.03/30.49  | |        $i(all_57_21) & $i(all_57_29)
% 186.03/30.49  | | 
% 186.03/30.49  | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #1028.
% 186.03/30.49  | | 
% 186.03/30.49  | Case 2:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (7)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4
% 186.03/30.49  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 =
% 186.03/30.49  | |          e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20) = all_57_6 &
% 186.03/30.49  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 186.03/30.49  | |        all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) =
% 186.03/30.49  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_19) &
% 186.03/30.49  | |        $i(all_57_20) & $i(all_57_29)
% 186.03/30.49  | | 
% 186.03/30.49  | | ALPHA: (7) implies:
% 186.03/30.49  | |   (8)  op(e0, e2) = e2
% 186.03/30.49  | | 
% 186.03/30.49  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1613.
% 186.03/30.49  | | 
% 186.03/30.49  | End of split
% 186.03/30.49  | 
% 186.03/30.49  End of proof
% 186.03/30.49  
% 186.03/30.49  Sub-proof #1028 shows that the following formulas are inconsistent:
% 186.03/30.49  ----------------------------------------------------------------
% 186.03/30.49    (1)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 186.03/30.49           e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.03/30.49         op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 186.03/30.49           all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.03/30.49         & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2 &
% 186.03/30.49         $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 186.03/30.49         $i(all_57_21) & $i(all_57_29)
% 186.03/30.49    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.49    (3)  op(e2, e2) = e1
% 186.03/30.49  
% 186.03/30.49  Begin of proof
% 186.03/30.49  | 
% 186.03/30.49  | ALPHA: (1) implies:
% 186.03/30.49  |   (4)   ~ (all_57_29 = e1)
% 186.03/30.49  |   (5)  op(e2, e2) = all_57_29
% 186.03/30.49  | 
% 186.03/30.49  | GROUND_INST: instantiating (2) with e1, all_57_29, e2, e2, simplifying with
% 186.03/30.49  |              (3), (5) gives:
% 186.03/30.49  |   (6)  all_57_29 = e1
% 186.03/30.49  | 
% 186.03/30.49  | REDUCE: (4), (6) imply:
% 186.03/30.49  |   (7)  $false
% 186.03/30.49  | 
% 186.03/30.49  | CLOSE: (7) is inconsistent.
% 186.03/30.49  | 
% 186.03/30.49  End of proof
% 186.03/30.49  
% 186.03/30.49  Sub-proof #1029 shows that the following formulas are inconsistent:
% 186.03/30.49  ----------------------------------------------------------------
% 186.03/30.49    (1)  op(e0, e3) = e2
% 186.03/30.49    (2)   ~ (e2 = e0)
% 186.03/30.49    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.49    (4)   ~ (e3 = e2)
% 186.03/30.49    (5)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 186.03/30.49             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.03/30.49           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 186.03/30.49             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 186.03/30.49           all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 186.03/30.49           & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 186.03/30.49           $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2
% 186.03/30.49           & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 186.03/30.49           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.03/30.49             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 186.03/30.49             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 186.03/30.49           op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 186.03/30.49           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 186.03/30.49           $i(all_57_29))
% 186.03/30.49    (6)  op(e2, e3) = e0
% 186.03/30.49  
% 186.03/30.49  Begin of proof
% 186.03/30.49  | 
% 186.03/30.49  | BETA: splitting (5) gives:
% 186.03/30.49  | 
% 186.03/30.49  | Case 1:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (7)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0
% 186.03/30.49  | |          = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 =
% 186.03/30.49  | |          e0) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 &
% 186.03/30.49  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 186.03/30.49  | |        all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) =
% 186.03/30.49  | |        e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 186.03/30.49  | |        $i(all_57_17) & $i(all_57_28)
% 186.03/30.49  | | 
% 186.03/30.49  | | ALPHA: (7) implies:
% 186.03/30.49  | |   (8)  op(e0, e3) = e3
% 186.03/30.49  | | 
% 186.03/30.49  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #1039.
% 186.03/30.49  | | 
% 186.03/30.49  | Case 2:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (9)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5
% 186.03/30.49  | |          = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 186.03/30.49  | |          e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.03/30.49  | |          all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) =
% 186.03/30.49  | |        e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 186.03/30.49  | |        all_57_21 & $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.03/30.49  | |        $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 186.03/30.49  | | 
% 186.03/30.49  | | ALPHA: (9) implies:
% 186.03/30.49  | |   (10)  op(e2, e3) = e2
% 186.03/30.49  | | 
% 186.03/30.49  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1412.
% 186.03/30.49  | | 
% 186.03/30.49  | End of split
% 186.03/30.49  | 
% 186.03/30.49  End of proof
% 186.03/30.49  
% 186.03/30.49  Sub-proof #1030 shows that the following formulas are inconsistent:
% 186.03/30.49  ----------------------------------------------------------------
% 186.03/30.49    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.49    (2)  op(e3, e3) = all_57_28
% 186.03/30.49    (3)  op(e3, e3) = e1
% 186.03/30.49    (4)   ~ (all_57_28 = e1)
% 186.03/30.49  
% 186.03/30.49  Begin of proof
% 186.03/30.49  | 
% 186.03/30.49  | GROUND_INST: instantiating (1) with e1, all_57_28, e3, e3, simplifying with
% 186.03/30.49  |              (2), (3) gives:
% 186.03/30.49  |   (5)  all_57_28 = e1
% 186.03/30.49  | 
% 186.03/30.49  | REDUCE: (4), (5) imply:
% 186.03/30.49  |   (6)  $false
% 186.03/30.49  | 
% 186.03/30.49  | CLOSE: (6) is inconsistent.
% 186.03/30.49  | 
% 186.03/30.49  End of proof
% 186.03/30.49  
% 186.03/30.49  Sub-proof #1031 shows that the following formulas are inconsistent:
% 186.03/30.49  ----------------------------------------------------------------
% 186.03/30.49    (1)  all_56_7 = e2
% 186.03/30.49    (2)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 186.03/30.49         (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.03/30.49    (3)   ~ (e1 = e0)
% 186.03/30.49    (4)   ~ (e3 = e0)
% 186.03/30.49    (5)   ~ (all_52_6 = e0)
% 186.03/30.49    (6)   ~ (e3 = e1)
% 186.03/30.49    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.49    (8)  op(e2, e2) = e1
% 186.03/30.49    (9)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.03/30.49         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 186.03/30.49    (10)   ~ (e3 = e2)
% 186.03/30.49    (11)  op(e1, e2) = all_52_6
% 186.03/30.49    (12)  all_56_13 = e1
% 186.03/30.49  
% 186.03/30.49  Begin of proof
% 186.03/30.49  | 
% 186.03/30.49  | BETA: splitting (2) gives:
% 186.03/30.49  | 
% 186.03/30.49  | Case 1:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (13)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 186.03/30.49  | |           e3)
% 186.03/30.49  | | 
% 186.03/30.49  | | BETA: splitting (13) gives:
% 186.03/30.49  | | 
% 186.03/30.49  | | Case 1:
% 186.03/30.49  | | | 
% 186.03/30.49  | | |   (14)  all_56_1 = e3 & op(e3, e2) = e3
% 186.03/30.49  | | | 
% 186.03/30.49  | | | ALPHA: (14) implies:
% 186.03/30.49  | | |   (15)  all_56_1 = e3
% 186.03/30.49  | | | 
% 186.03/30.49  | | | BETA: splitting (9) gives:
% 186.03/30.49  | | | 
% 186.03/30.49  | | | Case 1:
% 186.03/30.49  | | | | 
% 186.03/30.49  | | | |   (16)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2)
% 186.03/30.49  | | | |           = e0)
% 186.03/30.49  | | | | 
% 186.03/30.49  | | | | REF_CLOSE: (3), (4), (7), (8), (15), (16) are inconsistent by sub-proof
% 186.03/30.49  | | | |            #1032.
% 186.03/30.49  | | | | 
% 186.03/30.49  | | | Case 2:
% 186.03/30.49  | | | | 
% 186.03/30.49  | | | |   (17)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2)
% 186.03/30.49  | | | |           = e0)
% 186.03/30.49  | | | | 
% 186.03/30.49  | | | | BETA: splitting (17) gives:
% 186.03/30.49  | | | | 
% 186.03/30.49  | | | | Case 1:
% 186.03/30.49  | | | | | 
% 186.03/30.49  | | | | |   (18)  all_56_7 = e0 & op(e1, e2) = e0
% 186.03/30.49  | | | | | 
% 186.03/30.49  | | | | | REF_CLOSE: (5), (7), (11), (18) are inconsistent by sub-proof #1199.
% 186.03/30.49  | | | | | 
% 186.03/30.49  | | | | Case 2:
% 186.03/30.49  | | | | | 
% 186.03/30.49  | | | | |   (19)  all_56_13 = e0 & op(e0, e2) = e0
% 186.03/30.49  | | | | | 
% 186.03/30.49  | | | | | ALPHA: (19) implies:
% 186.03/30.49  | | | | |   (20)  all_56_13 = e0
% 186.03/30.49  | | | | | 
% 186.03/30.49  | | | | | REF_CLOSE: (3), (12), (20) are inconsistent by sub-proof #1427.
% 186.03/30.49  | | | | | 
% 186.03/30.49  | | | | End of split
% 186.03/30.49  | | | | 
% 186.03/30.49  | | | End of split
% 186.03/30.49  | | | 
% 186.03/30.49  | | Case 2:
% 186.03/30.49  | | | 
% 186.03/30.49  | | |   (21)  all_56_3 = e3 & op(e2, e2) = e3
% 186.03/30.49  | | | 
% 186.03/30.49  | | | ALPHA: (21) implies:
% 186.03/30.49  | | |   (22)  op(e2, e2) = e3
% 186.03/30.49  | | | 
% 186.03/30.49  | | | REF_CLOSE: (6), (7), (8), (22) are inconsistent by sub-proof #1347.
% 186.03/30.49  | | | 
% 186.03/30.49  | | End of split
% 186.03/30.49  | | 
% 186.03/30.49  | Case 2:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (23)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 186.03/30.49  | |           e3)
% 186.03/30.49  | | 
% 186.03/30.49  | | BETA: splitting (23) gives:
% 186.03/30.49  | | 
% 186.03/30.49  | | Case 1:
% 186.03/30.49  | | | 
% 186.03/30.49  | | |   (24)  all_56_7 = e3 & op(e1, e2) = e3
% 186.03/30.49  | | | 
% 186.03/30.49  | | | ALPHA: (24) implies:
% 186.03/30.49  | | |   (25)  all_56_7 = e3
% 186.03/30.49  | | | 
% 186.03/30.49  | | | REF_CLOSE: (1), (10), (25) are inconsistent by sub-proof #1430.
% 186.03/30.49  | | | 
% 186.03/30.49  | | Case 2:
% 186.03/30.49  | | | 
% 186.03/30.49  | | |   (26)  all_56_13 = e3 & op(e0, e2) = e3
% 186.03/30.49  | | | 
% 186.03/30.49  | | | ALPHA: (26) implies:
% 186.03/30.49  | | |   (27)  all_56_13 = e3
% 186.03/30.49  | | | 
% 186.03/30.49  | | | REF_CLOSE: (6), (12), (27) are inconsistent by sub-proof #1357.
% 186.03/30.49  | | | 
% 186.03/30.49  | | End of split
% 186.03/30.49  | | 
% 186.03/30.49  | End of split
% 186.03/30.49  | 
% 186.03/30.49  End of proof
% 186.03/30.49  
% 186.03/30.49  Sub-proof #1032 shows that the following formulas are inconsistent:
% 186.03/30.49  ----------------------------------------------------------------
% 186.03/30.49    (1)   ~ (e1 = e0)
% 186.03/30.49    (2)   ~ (e3 = e0)
% 186.03/30.49    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.49    (4)  all_56_1 = e3
% 186.03/30.49    (5)  op(e2, e2) = e1
% 186.03/30.49    (6)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 186.03/30.49  
% 186.03/30.49  Begin of proof
% 186.03/30.49  | 
% 186.03/30.49  | BETA: splitting (6) gives:
% 186.03/30.49  | 
% 186.03/30.49  | Case 1:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (7)  all_56_1 = e0 & op(e3, e2) = e0
% 186.03/30.49  | | 
% 186.03/30.49  | | REF_CLOSE: (2), (4), (7) are inconsistent by sub-proof #1033.
% 186.03/30.49  | | 
% 186.03/30.49  | Case 2:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (8)  all_56_3 = e0 & op(e2, e2) = e0
% 186.03/30.49  | | 
% 186.03/30.49  | | ALPHA: (8) implies:
% 186.03/30.49  | |   (9)  op(e2, e2) = e0
% 186.03/30.49  | | 
% 186.03/30.49  | | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #1310.
% 186.03/30.49  | | 
% 186.03/30.49  | End of split
% 186.03/30.49  | 
% 186.03/30.49  End of proof
% 186.03/30.49  
% 186.03/30.49  Sub-proof #1033 shows that the following formulas are inconsistent:
% 186.03/30.49  ----------------------------------------------------------------
% 186.03/30.49    (1)  all_56_1 = e0 & op(e3, e2) = e0
% 186.03/30.49    (2)  all_56_1 = e3
% 186.03/30.49    (3)   ~ (e3 = e0)
% 186.03/30.49  
% 186.03/30.49  Begin of proof
% 186.03/30.49  | 
% 186.03/30.49  | ALPHA: (1) implies:
% 186.03/30.49  |   (4)  all_56_1 = e0
% 186.03/30.49  | 
% 186.03/30.49  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.49  |   (5)  e3 = e0
% 186.03/30.49  | 
% 186.03/30.49  | REDUCE: (3), (5) imply:
% 186.03/30.49  |   (6)  $false
% 186.03/30.49  | 
% 186.03/30.49  | CLOSE: (6) is inconsistent.
% 186.03/30.49  | 
% 186.03/30.49  End of proof
% 186.03/30.49  
% 186.03/30.49  Sub-proof #1034 shows that the following formulas are inconsistent:
% 186.03/30.49  ----------------------------------------------------------------
% 186.03/30.49    (1)  op(e0, e0) = all_6_2
% 186.03/30.49    (2)   ~ (all_6_2 = e1)
% 186.03/30.49    (3)   ~ (e2 = e0)
% 186.03/30.49    (4)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.03/30.49    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.49    (6)   ~ (all_52_6 = e2)
% 186.03/30.49    (7)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 186.03/30.49         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 186.03/30.49    (8)  all_56_6 = e3
% 186.03/30.49    (9)   ~ (e3 = e2)
% 186.03/30.49    (10)  op(e1, e1) = e0
% 186.03/30.49    (11)  op(e1, e2) = all_52_6
% 186.03/30.49    (12)   ~ (e2 = e1)
% 186.03/30.49  
% 186.03/30.49  Begin of proof
% 186.03/30.49  | 
% 186.03/30.49  | BETA: splitting (4) gives:
% 186.03/30.49  | 
% 186.03/30.49  | Case 1:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (13)  all_56_11 = e1 & op(e1, e0) = e1
% 186.03/30.49  | | 
% 186.03/30.49  | | ALPHA: (13) implies:
% 186.03/30.49  | |   (14)  all_56_11 = e1
% 186.03/30.49  | | 
% 186.03/30.49  | | REF_CLOSE: (3), (5), (6), (7), (8), (9), (10), (11), (12), (14) are
% 186.03/30.49  | |            inconsistent by sub-proof #1228.
% 186.03/30.49  | | 
% 186.03/30.49  | Case 2:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (15)  all_56_15 = e1 & op(e0, e0) = e1
% 186.03/30.49  | | 
% 186.03/30.49  | | ALPHA: (15) implies:
% 186.03/30.49  | |   (16)  op(e0, e0) = e1
% 186.03/30.49  | | 
% 186.03/30.49  | | REF_CLOSE: (1), (2), (5), (16) are inconsistent by sub-proof #1516.
% 186.03/30.49  | | 
% 186.03/30.49  | End of split
% 186.03/30.49  | 
% 186.03/30.49  End of proof
% 186.03/30.49  
% 186.03/30.49  Sub-proof #1035 shows that the following formulas are inconsistent:
% 186.03/30.49  ----------------------------------------------------------------
% 186.03/30.49    (1)   ~ (all_52_14 = e0)
% 186.03/30.49    (2)  op(e1, e0) = all_52_14
% 186.03/30.49    (3)  op(e0, e1) = all_52_11
% 186.03/30.49    (4)   ~ (all_52_14 = e1)
% 186.03/30.49    (5)  op(e0, e1) = e1
% 186.03/30.49    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.49    (7)  all_54_11 = all_52_14
% 186.03/30.49    (8)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 186.03/30.49    (9)  op(e0, e1) = all_57_27
% 186.03/30.49    (10)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8
% 186.03/30.49              = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 =
% 186.03/30.49              e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.49            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.03/30.49            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 186.03/30.49            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 186.03/30.49            $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 186.03/30.49            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 186.03/30.49            & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 186.03/30.49            op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 186.03/30.49            all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 186.03/30.49            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 186.03/30.49            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.03/30.49                op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 186.03/30.49                e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 186.03/30.49  
% 186.03/30.49  Begin of proof
% 186.03/30.49  | 
% 186.03/30.49  | BETA: splitting (10) gives:
% 186.03/30.49  | 
% 186.03/30.49  | Case 1:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (11)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 186.03/30.49  | |         (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.03/30.49  | |         (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23)
% 186.03/30.49  | |         = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22
% 186.03/30.49  | |         & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1
% 186.03/30.49  | |         & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.03/30.49  | |         $i(all_57_23) & $i(all_57_30)
% 186.03/30.49  | | 
% 186.03/30.49  | | ALPHA: (11) implies:
% 186.03/30.49  | |   (12)  op(e1, e0) = e1
% 186.03/30.49  | | 
% 186.03/30.49  | | REF_CLOSE: (2), (4), (6), (12) are inconsistent by sub-proof #1609.
% 186.03/30.49  | | 
% 186.03/30.49  | Case 2:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (13)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.03/30.49  | |         (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 186.03/30.49  | |         = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 186.03/30.49  | |         all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.03/30.49  | |           e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.03/30.49  | |         $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.03/30.49  | |         (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 186.03/30.49  | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.03/30.49  | |           (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 186.03/30.49  | | 
% 186.03/30.49  | | ALPHA: (13) implies:
% 186.03/30.49  | |   (14)   ~ (all_57_14 = e1)
% 186.03/30.49  | |   (15)  op(e0, all_57_27) = all_57_14
% 186.03/30.49  | | 
% 186.03/30.49  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (14), (15) are
% 186.03/30.49  | |            inconsistent by sub-proof #1036.
% 186.03/30.49  | | 
% 186.03/30.49  | End of split
% 186.03/30.49  | 
% 186.03/30.49  End of proof
% 186.03/30.49  
% 186.03/30.49  Sub-proof #1036 shows that the following formulas are inconsistent:
% 186.03/30.49  ----------------------------------------------------------------
% 186.03/30.49    (1)   ~ (all_52_14 = e0)
% 186.03/30.49    (2)  op(e0, e1) = all_52_11
% 186.03/30.49    (3)   ~ (all_52_14 = e1)
% 186.03/30.49    (4)  op(e0, e1) = e1
% 186.03/30.49    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.49    (6)  all_54_11 = all_52_14
% 186.03/30.49    (7)   ~ (all_57_14 = e1)
% 186.03/30.49    (8)  op(e0, all_57_27) = all_57_14
% 186.03/30.49    (9)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 186.03/30.49    (10)  op(e0, e1) = all_57_27
% 186.03/30.49  
% 186.03/30.49  Begin of proof
% 186.03/30.49  | 
% 186.03/30.49  | BETA: splitting (9) gives:
% 186.03/30.49  | 
% 186.03/30.49  | Case 1:
% 186.03/30.49  | | 
% 186.03/30.49  | | 
% 186.03/30.49  | | GROUND_INST: instantiating (5) with all_52_11, all_57_27, e1, e0,
% 186.03/30.49  | |              simplifying with (2), (10) gives:
% 186.03/30.49  | |   (11)  all_57_27 = all_52_11
% 186.03/30.49  | | 
% 186.03/30.49  | | REF_CLOSE: (2), (4), (5), (7), (8), (10), (11) are inconsistent by sub-proof
% 186.03/30.49  | |            #1037.
% 186.03/30.49  | | 
% 186.03/30.49  | Case 2:
% 186.03/30.49  | | 
% 186.03/30.49  | |   (12)  all_54_11 = e1 | all_54_11 = e0
% 186.03/30.49  | | 
% 186.03/30.49  | | REF_CLOSE: (1), (3), (6), (12) are inconsistent by sub-proof #1113.
% 186.03/30.49  | | 
% 186.03/30.49  | End of split
% 186.03/30.49  | 
% 186.03/30.49  End of proof
% 186.03/30.49  
% 186.03/30.49  Sub-proof #1037 shows that the following formulas are inconsistent:
% 186.03/30.49  ----------------------------------------------------------------
% 186.03/30.49    (1)  op(e0, e1) = all_52_11
% 186.03/30.49    (2)  op(e0, e1) = e1
% 186.03/30.49    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.49           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.49    (4)   ~ (all_57_14 = e1)
% 186.03/30.50    (5)  op(e0, all_57_27) = all_57_14
% 186.03/30.50    (6)  op(e0, e1) = all_57_27
% 186.03/30.50    (7)  all_57_27 = all_52_11
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | GROUND_INST: instantiating (3) with e1, all_57_27, e1, e0, simplifying with
% 186.03/30.50  |              (2), (6) gives:
% 186.03/30.50  |   (8)  all_57_27 = e1
% 186.03/30.50  | 
% 186.03/30.50  | COMBINE_EQS: (7), (8) imply:
% 186.03/30.50  |   (9)  all_52_11 = e1
% 186.03/30.50  | 
% 186.03/30.50  | SIMP: (9) implies:
% 186.03/30.50  |   (10)  all_52_11 = e1
% 186.03/30.50  | 
% 186.03/30.50  | REDUCE: (5), (8) imply:
% 186.03/30.50  |   (11)  op(e0, e1) = all_57_14
% 186.03/30.50  | 
% 186.03/30.50  | REF_CLOSE: (2), (3), (4), (11) are inconsistent by sub-proof #1177.
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1038 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)  all_54_6 = all_52_9
% 186.03/30.50    (2)   ~ (all_52_9 = e0)
% 186.03/30.50    (3)  op(e2, e1) = all_52_9
% 186.03/30.50    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.50    (5)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 186.03/30.50    (6)   ~ (all_52_9 = e2)
% 186.03/30.50    (7)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 186.03/30.50             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.03/30.50           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 186.03/30.50             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 186.03/30.50           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 186.03/30.50           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 186.03/30.50           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 186.03/30.50           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 186.03/30.50           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 186.03/30.50           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.03/30.50             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 186.03/30.50           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.03/30.50           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 186.03/30.50    (8)   ~ (all_52_7 = e2)
% 186.03/30.50    (9)  op(e0, e2) = all_52_7
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | BETA: splitting (7) gives:
% 186.03/30.50  | 
% 186.03/30.50  | Case 1:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (10)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~
% 186.03/30.50  | |         (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 186.03/30.50  | |         (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.03/30.50  | |         = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 186.03/30.50  | |         op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.03/30.50  | |         op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 186.03/30.50  | |         $i(all_57_19) & $i(all_57_21) & $i(all_57_29)
% 186.03/30.50  | | 
% 186.03/30.50  | | ALPHA: (10) implies:
% 186.03/30.50  | |   (11)  op(e2, e1) = e2
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (11) are inconsistent by sub-proof
% 186.03/30.50  | |            #1145.
% 186.03/30.50  | | 
% 186.03/30.50  | Case 2:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (12)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~
% 186.03/30.50  | |         (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 186.03/30.50  | |         (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20)
% 186.03/30.50  | |         = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 186.03/30.50  | |         op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 &
% 186.03/30.50  | |         op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.03/30.50  | |         $i(all_57_19) & $i(all_57_20) & $i(all_57_29)
% 186.03/30.50  | | 
% 186.03/30.50  | | ALPHA: (12) implies:
% 186.03/30.50  | |   (13)  op(e0, e2) = e2
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (4), (8), (9), (13) are inconsistent by sub-proof #1613.
% 186.03/30.50  | | 
% 186.03/30.50  | End of split
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1039 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.50    (2)  op(e0, e3) = e3
% 186.03/30.50    (3)  op(e0, e3) = e2
% 186.03/30.50    (4)   ~ (e3 = e2)
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | GROUND_INST: instantiating (1) with e2, e3, e3, e0, simplifying with (2), (3)
% 186.03/30.50  |              gives:
% 186.03/30.50  |   (5)  e3 = e2
% 186.03/30.50  | 
% 186.03/30.50  | REDUCE: (4), (5) imply:
% 186.03/30.50  |   (6)  $false
% 186.03/30.50  | 
% 186.03/30.50  | CLOSE: (6) is inconsistent.
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1040 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)  op(e0, e0) = all_6_2
% 186.03/30.50    (2)   ~ (all_6_2 = e1)
% 186.03/30.50    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.50    (4)  all_57_17 = e3
% 186.03/30.50    (5)  (all_57_31 = e1 & op(e0, e0) = e1) | ( ~ (all_57_17 = e3) & op(e3, e1) =
% 186.03/30.50           all_57_17 & $i(all_57_17))
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | BETA: splitting (5) gives:
% 186.03/30.50  | 
% 186.03/30.50  | Case 1:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (6)  all_57_31 = e1 & op(e0, e0) = e1
% 186.03/30.50  | | 
% 186.03/30.50  | | ALPHA: (6) implies:
% 186.03/30.50  | |   (7)  op(e0, e0) = e1
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #1516.
% 186.03/30.50  | | 
% 186.03/30.50  | Case 2:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (8)   ~ (all_57_17 = e3) & op(e3, e1) = all_57_17 & $i(all_57_17)
% 186.03/30.50  | | 
% 186.03/30.50  | | ALPHA: (8) implies:
% 186.03/30.50  | |   (9)   ~ (all_57_17 = e3)
% 186.03/30.50  | | 
% 186.03/30.50  | | REDUCE: (4), (9) imply:
% 186.03/30.50  | |   (10)  $false
% 186.03/30.50  | | 
% 186.03/30.50  | | CLOSE: (10) is inconsistent.
% 186.03/30.50  | | 
% 186.03/30.50  | End of split
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1041 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 186.03/30.50    (2)   ~ (e3 = e1)
% 186.03/30.50    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.50    (4)  op(e3, e1) = all_52_8
% 186.03/30.50    (5)  op(e2, e1) = e3
% 186.03/30.50    (6)   ~ (all_52_8 = e1)
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | BETA: splitting (1) gives:
% 186.03/30.50  | 
% 186.03/30.50  | Case 1:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (7)  all_56_4 = e1 & op(e3, e1) = e1
% 186.03/30.50  | | 
% 186.03/30.50  | | ALPHA: (7) implies:
% 186.03/30.50  | |   (8)  op(e3, e1) = e1
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #1611.
% 186.03/30.50  | | 
% 186.03/30.50  | Case 2:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (9)  all_56_5 = e1 & op(e2, e1) = e1
% 186.03/30.50  | | 
% 186.03/30.50  | | ALPHA: (9) implies:
% 186.03/30.50  | |   (10)  op(e2, e1) = e1
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1456.
% 186.03/30.50  | | 
% 186.03/30.50  | End of split
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1042 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.50    (2)  op(e1, e1) = all_18_0
% 186.03/30.50    (3)  op(e1, e1) = e0
% 186.03/30.50    (4)   ~ (all_18_0 = e0)
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | GROUND_INST: instantiating (1) with e0, all_18_0, e1, e1, simplifying with
% 186.03/30.50  |              (2), (3) gives:
% 186.03/30.50  |   (5)  all_18_0 = e0
% 186.03/30.50  | 
% 186.03/30.50  | REDUCE: (4), (5) imply:
% 186.03/30.50  |   (6)  $false
% 186.03/30.50  | 
% 186.03/30.50  | CLOSE: (6) is inconsistent.
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1043 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.50    (2)  op(e2, e2) = all_57_29
% 186.03/30.50    (3)  op(e2, e2) = e2
% 186.03/30.50    (4)   ~ (all_57_29 = e2)
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | GROUND_INST: instantiating (1) with e2, all_57_29, e2, e2, simplifying with
% 186.03/30.50  |              (2), (3) gives:
% 186.03/30.50  |   (5)  all_57_29 = e2
% 186.03/30.50  | 
% 186.03/30.50  | REDUCE: (4), (5) imply:
% 186.03/30.50  |   (6)  $false
% 186.03/30.50  | 
% 186.03/30.50  | CLOSE: (6) is inconsistent.
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1044 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)  all_56_4 = e2
% 186.03/30.50    (2)  op(e3, e0) = all_52_12
% 186.03/30.50    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.50    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.50    (5)   ~ (all_52_12 = e3)
% 186.03/30.50    (6)   ~ (e3 = e2)
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | BETA: splitting (4) gives:
% 186.03/30.50  | 
% 186.03/30.50  | Case 1:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (7)  all_56_4 = e3 & op(e3, e1) = e3
% 186.03/30.50  | | 
% 186.03/30.50  | | ALPHA: (7) implies:
% 186.03/30.50  | |   (8)  all_56_4 = e3
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (1), (6), (8) are inconsistent by sub-proof #1285.
% 186.03/30.50  | | 
% 186.03/30.50  | Case 2:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (9)  all_56_9 = e3 & op(e3, e0) = e3
% 186.03/30.50  | | 
% 186.03/30.50  | | ALPHA: (9) implies:
% 186.03/30.50  | |   (10)  op(e3, e0) = e3
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #1615.
% 186.03/30.50  | | 
% 186.03/30.50  | End of split
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1045 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)  op(e1, e0) = e0
% 186.03/30.50    (2)   ~ (all_52_6 = all_52_14)
% 186.03/30.50    (3)  op(e1, e0) = all_52_14
% 186.03/30.50    (4)   ~ (all_52_6 = e1)
% 186.03/30.50    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.50    (6)   ~ (all_52_6 = e2)
% 186.03/30.50    (7)  all_54_9 = all_52_6
% 186.03/30.50    (8)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | BETA: splitting (8) gives:
% 186.03/30.50  | 
% 186.03/30.50  | Case 1:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (9)  all_54_9 = e2
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (6), (7), (9) are inconsistent by sub-proof #1323.
% 186.03/30.50  | | 
% 186.03/30.50  | Case 2:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (10)  all_54_9 = e1 | all_54_9 = e0
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (10) are inconsistent by sub-proof
% 186.03/30.50  | |            #1046.
% 186.03/30.50  | | 
% 186.03/30.50  | End of split
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1046 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)  op(e1, e0) = e0
% 186.03/30.50    (2)   ~ (all_52_6 = all_52_14)
% 186.03/30.50    (3)  op(e1, e0) = all_52_14
% 186.03/30.50    (4)   ~ (all_52_6 = e1)
% 186.03/30.50    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.50    (6)  all_54_9 = all_52_6
% 186.03/30.50    (7)  all_54_9 = e1 | all_54_9 = e0
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | BETA: splitting (7) gives:
% 186.03/30.50  | 
% 186.03/30.50  | Case 1:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (8)  all_54_9 = e1
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (4), (6), (8) are inconsistent by sub-proof #1322.
% 186.03/30.50  | | 
% 186.03/30.50  | Case 2:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (9)  all_54_9 = e0
% 186.03/30.50  | | 
% 186.03/30.50  | | COMBINE_EQS: (6), (9) imply:
% 186.03/30.50  | |   (10)  all_52_6 = e0
% 186.03/30.50  | | 
% 186.03/30.50  | | SIMP: (10) implies:
% 186.03/30.50  | |   (11)  all_52_6 = e0
% 186.03/30.50  | | 
% 186.03/30.50  | | REDUCE: (2), (11) imply:
% 186.03/30.50  | |   (12)   ~ (all_52_14 = e0)
% 186.03/30.50  | | 
% 186.03/30.50  | | SIMP: (12) implies:
% 186.03/30.50  | |   (13)   ~ (all_52_14 = e0)
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (1), (3), (5), (13) are inconsistent by sub-proof #1318.
% 186.03/30.50  | | 
% 186.03/30.50  | End of split
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1047 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)  op(e3, e1) = e3
% 186.03/30.50    (2)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 186.03/30.50    (3)   ~ (all_52_4 = e1)
% 186.03/30.50    (4)   ~ (all_52_4 = all_52_8)
% 186.03/30.50    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.50    (6)   ~ (all_52_4 = e2)
% 186.03/30.50    (7)  op(e3, e1) = all_52_8
% 186.03/30.50    (8)   ~ (all_52_4 = e0)
% 186.03/30.50    (9)  all_54_1 = all_52_4
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | BETA: splitting (2) gives:
% 186.03/30.50  | 
% 186.03/30.50  | Case 1:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (10)  all_54_1 = e3
% 186.03/30.50  | | 
% 186.03/30.50  | | COMBINE_EQS: (9), (10) imply:
% 186.03/30.50  | |   (11)  all_52_4 = e3
% 186.03/30.50  | | 
% 186.03/30.50  | | SIMP: (11) implies:
% 186.03/30.50  | |   (12)  all_52_4 = e3
% 186.03/30.50  | | 
% 186.03/30.50  | | REDUCE: (4), (12) imply:
% 186.03/30.50  | |   (13)   ~ (all_52_8 = e3)
% 186.03/30.50  | | 
% 186.03/30.50  | | SIMP: (13) implies:
% 186.03/30.50  | |   (14)   ~ (all_52_8 = e3)
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (1), (5), (7), (14) are inconsistent by sub-proof #1346.
% 186.03/30.50  | | 
% 186.03/30.50  | Case 2:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (15)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (3), (6), (8), (9), (15) are inconsistent by sub-proof #1057.
% 186.03/30.50  | | 
% 186.03/30.50  | End of split
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1048 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)  all_56_4 = e2
% 186.03/30.50    (2)   ~ (e3 = e0)
% 186.03/30.50    (3)   ~ (e2 = e0)
% 186.03/30.50    (4)   ~ (e3 = e1)
% 186.03/30.50    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.50    (6)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.03/30.50         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.50    (7)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 186.03/30.50    (8)   ~ (e3 = e2)
% 186.03/30.50    (9)  op(e3, e3) = e1
% 186.03/30.50    (10)  op(e3, e0) = e0
% 186.03/30.50    (11)  op(e2, e2) = e2
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | BETA: splitting (7) gives:
% 186.03/30.50  | 
% 186.03/30.50  | Case 1:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (12)  all_56_1 = e0 & op(e3, e2) = e0
% 186.03/30.50  | | 
% 186.03/30.50  | | ALPHA: (12) implies:
% 186.03/30.50  | |   (13)  all_56_1 = e0
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (10), (13) are inconsistent by
% 186.03/30.50  | |            sub-proof #1049.
% 186.03/30.50  | | 
% 186.03/30.50  | Case 2:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (14)  all_56_3 = e0 & op(e2, e2) = e0
% 186.03/30.50  | | 
% 186.03/30.50  | | ALPHA: (14) implies:
% 186.03/30.50  | |   (15)  op(e2, e2) = e0
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (3), (5), (11), (15) are inconsistent by sub-proof #1586.
% 186.03/30.50  | | 
% 186.03/30.50  | End of split
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1049 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)  all_56_4 = e2
% 186.03/30.50    (2)  all_56_1 = e0
% 186.03/30.50    (3)   ~ (e3 = e0)
% 186.03/30.50    (4)   ~ (e3 = e1)
% 186.03/30.50    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.50    (6)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.03/30.50         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.50    (7)   ~ (e3 = e2)
% 186.03/30.50    (8)  op(e3, e3) = e1
% 186.03/30.50    (9)  op(e3, e0) = e0
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | BETA: splitting (6) gives:
% 186.03/30.50  | 
% 186.03/30.50  | Case 1:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 186.03/30.50  | |           e3)
% 186.03/30.50  | | 
% 186.03/30.50  | | BETA: splitting (10) gives:
% 186.03/30.50  | | 
% 186.03/30.50  | | Case 1:
% 186.03/30.50  | | | 
% 186.03/30.50  | | |   (11)  all_56_0 = e3 & op(e3, e3) = e3
% 186.03/30.50  | | | 
% 186.03/30.50  | | | ALPHA: (11) implies:
% 186.03/30.50  | | |   (12)  op(e3, e3) = e3
% 186.03/30.50  | | | 
% 186.03/30.50  | | | REF_CLOSE: (4), (5), (8), (12) are inconsistent by sub-proof #1600.
% 186.03/30.50  | | | 
% 186.03/30.50  | | Case 2:
% 186.03/30.50  | | | 
% 186.03/30.50  | | |   (13)  all_56_1 = e3 & op(e3, e2) = e3
% 186.03/30.50  | | | 
% 186.03/30.50  | | | REF_CLOSE: (2), (3), (13) are inconsistent by sub-proof #1138.
% 186.03/30.50  | | | 
% 186.03/30.50  | | End of split
% 186.03/30.50  | | 
% 186.03/30.50  | Case 2:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (14)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 186.03/30.50  | |           e3)
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (1), (3), (5), (7), (9), (14) are inconsistent by sub-proof
% 186.03/30.50  | |            #1188.
% 186.03/30.50  | | 
% 186.03/30.50  | End of split
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1050 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)   ~ (e1 = e0)
% 186.03/30.50    (2)  op(e1, e0) = all_52_14
% 186.03/30.50    (3)   ~ (e3 = e0)
% 186.03/30.50    (4)   ~ (all_38_1 = e1)
% 186.03/30.50    (5)   ~ (all_52_14 = all_38_1)
% 186.03/30.50    (6)   ~ (e2 = e0)
% 186.03/30.50    (7)  all_56_9 = e2 & op(e3, e0) = e2
% 186.03/30.50    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.50    (9)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 186.03/30.50    (10)  op(e0, e0) = e3
% 186.03/30.50    (11)   ~ (all_38_1 = e2)
% 186.03/30.50    (12)  all_56_10 = e1
% 186.03/30.50    (13)  all_54_3 = all_38_1
% 186.03/30.50    (14)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.50              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.50                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.03/30.50                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | ALPHA: (7) implies:
% 186.03/30.50  |   (15)  all_56_9 = e2
% 186.03/30.50  | 
% 186.03/30.50  | BETA: splitting (14) gives:
% 186.03/30.50  | 
% 186.03/30.50  | Case 1:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (16)  all_56_15 = e0 & op(e0, e0) = e0
% 186.03/30.50  | | 
% 186.03/30.50  | | ALPHA: (16) implies:
% 186.03/30.50  | |   (17)  op(e0, e0) = e0
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (3), (8), (10), (17) are inconsistent by sub-proof #1540.
% 186.03/30.50  | | 
% 186.03/30.50  | Case 2:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (18)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 186.03/30.50  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 186.03/30.50  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 186.03/30.50  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 186.03/30.50  | | 
% 186.03/30.50  | | ALPHA: (18) implies:
% 186.03/30.50  | |   (19)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 186.03/30.50  | |           e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.50  | | 
% 186.03/30.50  | | BETA: splitting (19) gives:
% 186.03/30.50  | | 
% 186.03/30.50  | | Case 1:
% 186.03/30.50  | | | 
% 186.03/30.50  | | |   (20)  all_56_9 = e0 & op(e3, e0) = e0
% 186.03/30.50  | | | 
% 186.03/30.50  | | | REF_CLOSE: (6), (15), (20) are inconsistent by sub-proof #1574.
% 186.03/30.50  | | | 
% 186.03/30.50  | | Case 2:
% 186.03/30.50  | | | 
% 186.03/30.50  | | |   (21)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.50  | | |           = e0)
% 186.03/30.50  | | | 
% 186.03/30.50  | | | REF_CLOSE: (1), (2), (4), (5), (8), (9), (11), (12), (13), (21) are
% 186.03/30.50  | | |            inconsistent by sub-proof #1051.
% 186.03/30.50  | | | 
% 186.03/30.50  | | End of split
% 186.03/30.50  | | 
% 186.03/30.50  | End of split
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1051 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)   ~ (e1 = e0)
% 186.03/30.50    (2)  op(e1, e0) = all_52_14
% 186.03/30.50    (3)   ~ (all_38_1 = e1)
% 186.03/30.50    (4)   ~ (all_52_14 = all_38_1)
% 186.03/30.50    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.50    (6)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.50    (7)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 186.03/30.50    (8)   ~ (all_38_1 = e2)
% 186.03/30.50    (9)  all_56_10 = e1
% 186.03/30.50    (10)  all_54_3 = all_38_1
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | BETA: splitting (6) gives:
% 186.03/30.50  | 
% 186.03/30.50  | Case 1:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (11)  all_56_10 = e0 & op(e2, e0) = e0
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (1), (9), (11) are inconsistent by sub-proof #1409.
% 186.03/30.50  | | 
% 186.03/30.50  | Case 2:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (12)  all_56_11 = e0 & op(e1, e0) = e0
% 186.03/30.50  | | 
% 186.03/30.50  | | ALPHA: (12) implies:
% 186.03/30.50  | |   (13)  op(e1, e0) = e0
% 186.03/30.50  | | 
% 186.03/30.50  | | BETA: splitting (7) gives:
% 186.03/30.50  | | 
% 186.03/30.50  | | Case 1:
% 186.03/30.50  | | | 
% 186.03/30.50  | | |   (14)  all_54_3 = e2
% 186.03/30.50  | | | 
% 186.03/30.50  | | | REF_CLOSE: (8), (10), (14) are inconsistent by sub-proof #1053.
% 186.03/30.50  | | | 
% 186.03/30.50  | | Case 2:
% 186.03/30.50  | | | 
% 186.03/30.50  | | |   (15)  all_54_3 = e1 | all_54_3 = e0
% 186.03/30.50  | | | 
% 186.03/30.50  | | | BETA: splitting (15) gives:
% 186.03/30.50  | | | 
% 186.03/30.50  | | | Case 1:
% 186.03/30.50  | | | | 
% 186.03/30.50  | | | |   (16)  all_54_3 = e1
% 186.03/30.50  | | | | 
% 186.03/30.50  | | | | REF_CLOSE: (3), (10), (16) are inconsistent by sub-proof #1052.
% 186.03/30.50  | | | | 
% 186.03/30.50  | | | Case 2:
% 186.03/30.50  | | | | 
% 186.03/30.50  | | | |   (17)  all_54_3 = e0
% 186.03/30.50  | | | | 
% 186.03/30.50  | | | | COMBINE_EQS: (10), (17) imply:
% 186.03/30.50  | | | |   (18)  all_38_1 = e0
% 186.03/30.50  | | | | 
% 186.03/30.50  | | | | SIMP: (18) implies:
% 186.03/30.50  | | | |   (19)  all_38_1 = e0
% 186.03/30.50  | | | | 
% 186.03/30.50  | | | | REDUCE: (4), (19) imply:
% 186.03/30.50  | | | |   (20)   ~ (all_52_14 = e0)
% 186.03/30.50  | | | | 
% 186.03/30.50  | | | | REF_CLOSE: (2), (5), (13), (20) are inconsistent by sub-proof #1318.
% 186.03/30.50  | | | | 
% 186.03/30.50  | | | End of split
% 186.03/30.50  | | | 
% 186.03/30.50  | | End of split
% 186.03/30.50  | | 
% 186.03/30.50  | End of split
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1052 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)  all_54_3 = all_38_1
% 186.03/30.50    (2)  all_54_3 = e1
% 186.03/30.50    (3)   ~ (all_38_1 = e1)
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.50  |   (4)  all_38_1 = e1
% 186.03/30.50  | 
% 186.03/30.50  | SIMP: (4) implies:
% 186.03/30.50  |   (5)  all_38_1 = e1
% 186.03/30.50  | 
% 186.03/30.50  | REDUCE: (3), (5) imply:
% 186.03/30.50  |   (6)  $false
% 186.03/30.50  | 
% 186.03/30.50  | CLOSE: (6) is inconsistent.
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1053 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)  all_54_3 = all_38_1
% 186.03/30.50    (2)  all_54_3 = e2
% 186.03/30.50    (3)   ~ (all_38_1 = e2)
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.50  |   (4)  all_38_1 = e2
% 186.03/30.50  | 
% 186.03/30.50  | SIMP: (4) implies:
% 186.03/30.50  |   (5)  all_38_1 = e2
% 186.03/30.50  | 
% 186.03/30.50  | REDUCE: (3), (5) imply:
% 186.03/30.50  |   (6)  $false
% 186.03/30.50  | 
% 186.03/30.50  | CLOSE: (6) is inconsistent.
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1054 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.50    (2)   ~ (all_52_4 = e2)
% 186.03/30.50    (3)  op(e3, e3) = e1
% 186.03/30.50    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 186.03/30.50    (5)  op(e3, e2) = all_52_4
% 186.03/30.50    (6)   ~ (e2 = e1)
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | BETA: splitting (4) gives:
% 186.03/30.50  | 
% 186.03/30.50  | Case 1:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 186.03/30.50  | | 
% 186.03/30.50  | | ALPHA: (7) implies:
% 186.03/30.50  | |   (8)  op(e3, e3) = e2
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1582.
% 186.03/30.50  | | 
% 186.03/30.50  | Case 2:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (9)  all_56_1 = e2 & op(e3, e2) = e2
% 186.03/30.50  | | 
% 186.03/30.50  | | ALPHA: (9) implies:
% 186.03/30.50  | |   (10)  op(e3, e2) = e2
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1382.
% 186.03/30.50  | | 
% 186.03/30.50  | End of split
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1055 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)  all_54_3 = all_38_1
% 186.03/30.50    (2)  all_54_3 = e3
% 186.03/30.50    (3)   ~ (all_38_1 = e3)
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.50  |   (4)  all_38_1 = e3
% 186.03/30.50  | 
% 186.03/30.50  | SIMP: (4) implies:
% 186.03/30.50  |   (5)  all_38_1 = e3
% 186.03/30.50  | 
% 186.03/30.50  | REDUCE: (3), (5) imply:
% 186.03/30.50  |   (6)  $false
% 186.03/30.50  | 
% 186.03/30.50  | CLOSE: (6) is inconsistent.
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1056 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.50    (2)  op(e3, e3) = all_38_0
% 186.03/30.50    (3)  op(e3, e3) = e1
% 186.03/30.50    (4)   ~ (all_38_0 = e1)
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | GROUND_INST: instantiating (1) with e1, all_38_0, e3, e3, simplifying with
% 186.03/30.50  |              (2), (3) gives:
% 186.03/30.50  |   (5)  all_38_0 = e1
% 186.03/30.50  | 
% 186.03/30.50  | REDUCE: (4), (5) imply:
% 186.03/30.50  |   (6)  $false
% 186.03/30.50  | 
% 186.03/30.50  | CLOSE: (6) is inconsistent.
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1057 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)   ~ (all_52_4 = e1)
% 186.03/30.50    (2)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 186.03/30.50    (3)   ~ (all_52_4 = e2)
% 186.03/30.50    (4)   ~ (all_52_4 = e0)
% 186.03/30.50    (5)  all_54_1 = all_52_4
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | BETA: splitting (2) gives:
% 186.03/30.50  | 
% 186.03/30.50  | Case 1:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (6)  all_54_1 = e2
% 186.03/30.50  | | 
% 186.03/30.50  | | COMBINE_EQS: (5), (6) imply:
% 186.03/30.50  | |   (7)  all_52_4 = e2
% 186.03/30.50  | | 
% 186.03/30.50  | | REDUCE: (3), (7) imply:
% 186.03/30.50  | |   (8)  $false
% 186.03/30.50  | | 
% 186.03/30.50  | | CLOSE: (8) is inconsistent.
% 186.03/30.50  | | 
% 186.03/30.50  | Case 2:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (9)  all_54_1 = e1 | all_54_1 = e0
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #1058.
% 186.03/30.50  | | 
% 186.03/30.50  | End of split
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1058 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)  all_54_1 = e1 | all_54_1 = e0
% 186.03/30.50    (2)  all_54_1 = all_52_4
% 186.03/30.50    (3)   ~ (all_52_4 = e1)
% 186.03/30.50    (4)   ~ (all_52_4 = e0)
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | BETA: splitting (1) gives:
% 186.03/30.50  | 
% 186.03/30.50  | Case 1:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (5)  all_54_1 = e1
% 186.03/30.50  | | 
% 186.03/30.50  | | COMBINE_EQS: (2), (5) imply:
% 186.03/30.50  | |   (6)  all_52_4 = e1
% 186.03/30.50  | | 
% 186.03/30.50  | | REDUCE: (3), (6) imply:
% 186.03/30.50  | |   (7)  $false
% 186.03/30.50  | | 
% 186.03/30.50  | | CLOSE: (7) is inconsistent.
% 186.03/30.50  | | 
% 186.03/30.50  | Case 2:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (8)  all_54_1 = e0
% 186.03/30.50  | | 
% 186.03/30.50  | | COMBINE_EQS: (2), (8) imply:
% 186.03/30.50  | |   (9)  all_52_4 = e0
% 186.03/30.50  | | 
% 186.03/30.50  | | REDUCE: (4), (9) imply:
% 186.03/30.50  | |   (10)  $false
% 186.03/30.50  | | 
% 186.03/30.50  | | CLOSE: (10) is inconsistent.
% 186.03/30.50  | | 
% 186.03/30.50  | End of split
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1059 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)   ~ (all_4_2 = e0)
% 186.03/30.50    (2)   ~ (e1 = e0)
% 186.03/30.50    (3)   ~ (e3 = e0)
% 186.03/30.50    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.03/30.50         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.50    (5)   ~ (e2 = e0)
% 186.03/30.50    (6)   ~ (e3 = e1)
% 186.03/30.50    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.50           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.50    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.03/30.50         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.50    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.03/30.50         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.03/30.50    (10)   ~ (e3 = e2)
% 186.03/30.50    (11)  op(e3, e3) = e1
% 186.03/30.50    (12)  op(e3, e1) = all_52_8
% 186.03/30.50    (13)  op(e3, e3) = all_4_2
% 186.03/30.50    (14)  op(e3, e2) = all_52_4
% 186.03/30.50    (15)   ~ (all_52_4 = e0)
% 186.03/30.50    (16)  all_56_9 = e1
% 186.03/30.50    (17)   ~ (e2 = e1)
% 186.03/30.50  
% 186.03/30.50  Begin of proof
% 186.03/30.50  | 
% 186.03/30.50  | BETA: splitting (4) gives:
% 186.03/30.50  | 
% 186.03/30.50  | Case 1:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (18)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 186.03/30.50  | |           e0)
% 186.03/30.50  | | 
% 186.03/30.50  | | REF_CLOSE: (1), (7), (13), (14), (15), (18) are inconsistent by sub-proof
% 186.03/30.50  | |            #1060.
% 186.03/30.50  | | 
% 186.03/30.50  | Case 2:
% 186.03/30.50  | | 
% 186.03/30.50  | |   (19)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 186.03/30.50  | |           e0)
% 186.03/30.50  | | 
% 186.03/30.50  | | BETA: splitting (19) gives:
% 186.03/30.50  | | 
% 186.03/30.50  | | Case 1:
% 186.03/30.50  | | | 
% 186.03/30.50  | | |   (20)  all_56_4 = e0 & op(e3, e1) = e0
% 186.03/30.50  | | | 
% 186.03/30.50  | | | ALPHA: (20) implies:
% 186.03/30.50  | | |   (21)  all_56_4 = e0
% 186.03/30.50  | | |   (22)  op(e3, e1) = e0
% 186.03/30.50  | | | 
% 186.03/30.50  | | | REF_CLOSE: (3), (5), (6), (7), (8), (9), (10), (11), (12), (16), (17),
% 186.03/30.50  | | |            (21), (22) are inconsistent by sub-proof #1375.
% 186.03/30.50  | | | 
% 186.03/30.50  | | Case 2:
% 186.03/30.50  | | | 
% 186.03/30.50  | | |   (23)  all_56_9 = e0 & op(e3, e0) = e0
% 186.03/30.50  | | | 
% 186.03/30.50  | | | REF_CLOSE: (2), (16), (23) are inconsistent by sub-proof #1505.
% 186.03/30.50  | | | 
% 186.03/30.50  | | End of split
% 186.03/30.50  | | 
% 186.03/30.50  | End of split
% 186.03/30.50  | 
% 186.03/30.50  End of proof
% 186.03/30.50  
% 186.03/30.50  Sub-proof #1060 shows that the following formulas are inconsistent:
% 186.03/30.50  ----------------------------------------------------------------
% 186.03/30.50    (1)   ~ (all_4_2 = e0)
% 186.03/30.50    (2)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 186.03/30.51    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.51    (4)  op(e3, e3) = all_4_2
% 186.03/30.51    (5)  op(e3, e2) = all_52_4
% 186.03/30.51    (6)   ~ (all_52_4 = e0)
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | BETA: splitting (2) gives:
% 186.03/30.51  | 
% 186.03/30.51  | Case 1:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | ALPHA: (7) implies:
% 186.03/30.51  | |   (8)  op(e3, e3) = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #1624.
% 186.03/30.51  | | 
% 186.03/30.51  | Case 2:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (9)  all_56_1 = e0 & op(e3, e2) = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (3), (5), (6), (9) are inconsistent by sub-proof #1466.
% 186.03/30.51  | | 
% 186.03/30.51  | End of split
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1061 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  all_54_9 = all_52_6
% 186.03/30.51    (2)  all_54_9 = e3
% 186.03/30.51    (3)   ~ (all_52_6 = e3)
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.51  |   (4)  all_52_6 = e3
% 186.03/30.51  | 
% 186.03/30.51  | SIMP: (4) implies:
% 186.03/30.51  |   (5)  all_52_6 = e3
% 186.03/30.51  | 
% 186.03/30.51  | REDUCE: (3), (5) imply:
% 186.03/30.51  |   (6)  $false
% 186.03/30.51  | 
% 186.03/30.51  | CLOSE: (6) is inconsistent.
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1062 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)   ~ (e1 = e0)
% 186.03/30.51    (2)   ~ (all_52_9 = e0)
% 186.03/30.51    (3)  all_56_4 = e2
% 186.03/30.51    (4)  op(e2, e1) = all_52_9
% 186.03/30.51    (5)   ~ (e2 = e0)
% 186.03/30.51    (6)  all_56_14 = e2
% 186.03/30.51    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.51    (8)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 186.03/30.51         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.03/30.51    (9)  op(e1, e1) = e1
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | BETA: splitting (8) gives:
% 186.03/30.51  | 
% 186.03/30.51  | Case 1:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (10)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 186.03/30.51  | |           e0)
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (2), (3), (4), (5), (7), (10) are inconsistent by sub-proof
% 186.03/30.51  | |            #1068.
% 186.03/30.51  | | 
% 186.03/30.51  | Case 2:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (11)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 186.03/30.51  | |           e0)
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (1), (5), (6), (7), (9), (11) are inconsistent by sub-proof
% 186.03/30.51  | |            #1390.
% 186.03/30.51  | | 
% 186.03/30.51  | End of split
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1063 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  all_56_10 = e2
% 186.03/30.51    (2)  all_56_3 = e2
% 186.03/30.51    (3)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 186.03/30.51         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 186.03/30.51    (4)   ~ (e3 = e1)
% 186.03/30.51    (5)  op(e2, e3) = all_52_1
% 186.03/30.51    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.51    (7)   ~ (all_52_1 = e1)
% 186.03/30.51    (8)  op(e2, e1) = e3
% 186.03/30.51    (9)   ~ (e2 = e1)
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | BETA: splitting (3) gives:
% 186.03/30.51  | 
% 186.03/30.51  | Case 1:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (10)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 186.03/30.51  | |           e1)
% 186.03/30.51  | | 
% 186.03/30.51  | | BETA: splitting (10) gives:
% 186.03/30.51  | | 
% 186.03/30.51  | | Case 1:
% 186.03/30.51  | | | 
% 186.03/30.51  | | |   (11)  all_56_2 = e1 & op(e2, e3) = e1
% 186.03/30.51  | | | 
% 186.03/30.51  | | | REF_CLOSE: (5), (6), (7), (11) are inconsistent by sub-proof #1352.
% 186.03/30.51  | | | 
% 186.03/30.51  | | Case 2:
% 186.03/30.51  | | | 
% 186.03/30.51  | | |   (12)  all_56_3 = e1 & op(e2, e2) = e1
% 186.03/30.51  | | | 
% 186.03/30.51  | | | REF_CLOSE: (2), (9), (12) are inconsistent by sub-proof #1065.
% 186.03/30.51  | | | 
% 186.03/30.51  | | End of split
% 186.03/30.51  | | 
% 186.03/30.51  | Case 2:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (13)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 186.03/30.51  | |           e1)
% 186.03/30.51  | | 
% 186.03/30.51  | | BETA: splitting (13) gives:
% 186.03/30.51  | | 
% 186.03/30.51  | | Case 1:
% 186.03/30.51  | | | 
% 186.03/30.51  | | |   (14)  all_56_5 = e1 & op(e2, e1) = e1
% 186.03/30.51  | | | 
% 186.03/30.51  | | | ALPHA: (14) implies:
% 186.03/30.51  | | |   (15)  op(e2, e1) = e1
% 186.03/30.51  | | | 
% 186.03/30.51  | | | REF_CLOSE: (4), (6), (8), (15) are inconsistent by sub-proof #1456.
% 186.03/30.51  | | | 
% 186.03/30.51  | | Case 2:
% 186.03/30.51  | | | 
% 186.03/30.51  | | |   (16)  all_56_10 = e1 & op(e2, e0) = e1
% 186.03/30.51  | | | 
% 186.03/30.51  | | | ALPHA: (16) implies:
% 186.03/30.51  | | |   (17)  all_56_10 = e1
% 186.03/30.51  | | | 
% 186.03/30.51  | | | REF_CLOSE: (1), (9), (17) are inconsistent by sub-proof #1064.
% 186.03/30.51  | | | 
% 186.03/30.51  | | End of split
% 186.03/30.51  | | 
% 186.03/30.51  | End of split
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1064 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  all_56_10 = e2
% 186.03/30.51    (2)  all_56_10 = e1
% 186.03/30.51    (3)   ~ (e2 = e1)
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.51  |   (4)  e2 = e1
% 186.03/30.51  | 
% 186.03/30.51  | SIMP: (4) implies:
% 186.03/30.51  |   (5)  e2 = e1
% 186.03/30.51  | 
% 186.03/30.51  | REDUCE: (3), (5) imply:
% 186.03/30.51  |   (6)  $false
% 186.03/30.51  | 
% 186.03/30.51  | CLOSE: (6) is inconsistent.
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1065 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  all_56_3 = e1 & op(e2, e2) = e1
% 186.03/30.51    (2)  all_56_3 = e2
% 186.03/30.51    (3)   ~ (e2 = e1)
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | ALPHA: (1) implies:
% 186.03/30.51  |   (4)  all_56_3 = e1
% 186.03/30.51  | 
% 186.03/30.51  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.51  |   (5)  e2 = e1
% 186.03/30.51  | 
% 186.03/30.51  | REDUCE: (3), (5) imply:
% 186.03/30.51  |   (6)  $false
% 186.03/30.51  | 
% 186.03/30.51  | CLOSE: (6) is inconsistent.
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1066 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  all_56_13 = e3 & op(e0, e2) = e3
% 186.03/30.51    (2)  all_56_13 = e1
% 186.03/30.51    (3)   ~ (e3 = e1)
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | ALPHA: (1) implies:
% 186.03/30.51  |   (4)  all_56_13 = e3
% 186.03/30.51  | 
% 186.03/30.51  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.51  |   (5)  e3 = e1
% 186.03/30.51  | 
% 186.03/30.51  | REDUCE: (3), (5) imply:
% 186.03/30.51  |   (6)  $false
% 186.03/30.51  | 
% 186.03/30.51  | CLOSE: (6) is inconsistent.
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1067 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)   ~ (e1 = e0)
% 186.03/30.51    (2)   ~ (all_52_9 = e0)
% 186.03/30.51    (3)  all_56_4 = e2
% 186.03/30.51    (4)   ~ (e3 = e0)
% 186.03/30.51    (5)  op(e2, e1) = all_52_9
% 186.03/30.51    (6)   ~ (e2 = e0)
% 186.03/30.51    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.51    (8)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 186.03/30.51         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.03/30.51    (9)  all_56_14 = e3
% 186.03/30.51    (10)  op(e1, e1) = e1
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | BETA: splitting (8) gives:
% 186.03/30.51  | 
% 186.03/30.51  | Case 1:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (11)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 186.03/30.51  | |           e0)
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (2), (3), (5), (6), (7), (11) are inconsistent by sub-proof
% 186.03/30.51  | |            #1068.
% 186.03/30.51  | | 
% 186.03/30.51  | Case 2:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (12)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 186.03/30.51  | |           e0)
% 186.03/30.51  | | 
% 186.03/30.51  | | BETA: splitting (12) gives:
% 186.03/30.51  | | 
% 186.03/30.51  | | Case 1:
% 186.03/30.51  | | | 
% 186.03/30.51  | | |   (13)  all_56_8 = e0 & op(e1, e1) = e0
% 186.03/30.51  | | | 
% 186.03/30.51  | | | ALPHA: (13) implies:
% 186.03/30.51  | | |   (14)  op(e1, e1) = e0
% 186.03/30.51  | | | 
% 186.03/30.51  | | | REF_CLOSE: (1), (7), (10), (14) are inconsistent by sub-proof #1619.
% 186.03/30.51  | | | 
% 186.03/30.51  | | Case 2:
% 186.03/30.51  | | | 
% 186.03/30.51  | | |   (15)  all_56_14 = e0 & op(e0, e1) = e0
% 186.03/30.51  | | | 
% 186.03/30.51  | | | ALPHA: (15) implies:
% 186.03/30.51  | | |   (16)  all_56_14 = e0
% 186.03/30.51  | | | 
% 186.03/30.51  | | | REF_CLOSE: (4), (9), (16) are inconsistent by sub-proof #1470.
% 186.03/30.51  | | | 
% 186.03/30.51  | | End of split
% 186.03/30.51  | | 
% 186.03/30.51  | End of split
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1068 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)   ~ (all_52_9 = e0)
% 186.03/30.51    (2)  all_56_4 = e2
% 186.03/30.51    (3)  op(e2, e1) = all_52_9
% 186.03/30.51    (4)   ~ (e2 = e0)
% 186.03/30.51    (5)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0)
% 186.03/30.51    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | BETA: splitting (5) gives:
% 186.03/30.51  | 
% 186.03/30.51  | Case 1:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (7)  all_56_4 = e0 & op(e3, e1) = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | ALPHA: (7) implies:
% 186.03/30.51  | |   (8)  all_56_4 = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (2), (4), (8) are inconsistent by sub-proof #1394.
% 186.03/30.51  | | 
% 186.03/30.51  | Case 2:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (9)  all_56_5 = e0 & op(e2, e1) = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (1), (3), (6), (9) are inconsistent by sub-proof #1476.
% 186.03/30.51  | | 
% 186.03/30.51  | End of split
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1069 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  all_56_7 = e1 & op(e1, e2) = e1
% 186.03/30.51    (2)  all_56_7 = e3
% 186.03/30.51    (3)   ~ (e3 = e1)
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | ALPHA: (1) implies:
% 186.03/30.51  |   (4)  all_56_7 = e1
% 186.03/30.51  | 
% 186.03/30.51  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.51  |   (5)  e3 = e1
% 186.03/30.51  | 
% 186.03/30.51  | REDUCE: (3), (5) imply:
% 186.03/30.51  |   (6)  $false
% 186.03/30.51  | 
% 186.03/30.51  | CLOSE: (6) is inconsistent.
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1070 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  all_56_13 = e3
% 186.03/30.51    (2)   ~ (e2 = e0)
% 186.03/30.51    (3)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.03/30.51         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.03/30.51    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.51    (5)   ~ (e3 = e2)
% 186.03/30.51    (6)  all_56_1 = e1
% 186.03/30.51    (7)   ~ (e2 = e1)
% 186.03/30.51    (8)  all_56_7 = e3
% 186.03/30.51    (9)  op(e2, e2) = e0
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | BETA: splitting (3) gives:
% 186.03/30.51  | 
% 186.03/30.51  | Case 1:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (10)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 186.03/30.51  | |           e2)
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (2), (4), (6), (7), (9), (10) are inconsistent by sub-proof
% 186.03/30.51  | |            #1073.
% 186.03/30.51  | | 
% 186.03/30.51  | Case 2:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (11)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 186.03/30.51  | |           e2)
% 186.03/30.51  | | 
% 186.03/30.51  | | BETA: splitting (11) gives:
% 186.03/30.51  | | 
% 186.03/30.51  | | Case 1:
% 186.03/30.51  | | | 
% 186.03/30.51  | | |   (12)  all_56_7 = e2 & op(e1, e2) = e2
% 186.03/30.51  | | | 
% 186.03/30.51  | | | REF_CLOSE: (5), (8), (12) are inconsistent by sub-proof #1072.
% 186.03/30.51  | | | 
% 186.03/30.51  | | Case 2:
% 186.03/30.51  | | | 
% 186.03/30.51  | | |   (13)  all_56_13 = e2 & op(e0, e2) = e2
% 186.03/30.51  | | | 
% 186.03/30.51  | | | REF_CLOSE: (1), (5), (13) are inconsistent by sub-proof #1071.
% 186.03/30.51  | | | 
% 186.03/30.51  | | End of split
% 186.03/30.51  | | 
% 186.03/30.51  | End of split
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1071 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  all_56_13 = e2 & op(e0, e2) = e2
% 186.03/30.51    (2)  all_56_13 = e3
% 186.03/30.51    (3)   ~ (e3 = e2)
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | ALPHA: (1) implies:
% 186.03/30.51  |   (4)  all_56_13 = e2
% 186.03/30.51  | 
% 186.03/30.51  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.51  |   (5)  e3 = e2
% 186.03/30.51  | 
% 186.03/30.51  | REDUCE: (3), (5) imply:
% 186.03/30.51  |   (6)  $false
% 186.03/30.51  | 
% 186.03/30.51  | CLOSE: (6) is inconsistent.
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1072 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  all_56_7 = e2 & op(e1, e2) = e2
% 186.03/30.51    (2)  all_56_7 = e3
% 186.03/30.51    (3)   ~ (e3 = e2)
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | ALPHA: (1) implies:
% 186.03/30.51  |   (4)  all_56_7 = e2
% 186.03/30.51  | 
% 186.03/30.51  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.51  |   (5)  e3 = e2
% 186.03/30.51  | 
% 186.03/30.51  | REDUCE: (3), (5) imply:
% 186.03/30.51  |   (6)  $false
% 186.03/30.51  | 
% 186.03/30.51  | CLOSE: (6) is inconsistent.
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1073 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 186.03/30.51    (2)   ~ (e2 = e0)
% 186.03/30.51    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.51    (4)  all_56_1 = e1
% 186.03/30.51    (5)   ~ (e2 = e1)
% 186.03/30.51    (6)  op(e2, e2) = e0
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | BETA: splitting (1) gives:
% 186.03/30.51  | 
% 186.03/30.51  | Case 1:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (7)  all_56_1 = e2 & op(e3, e2) = e2
% 186.03/30.51  | | 
% 186.03/30.51  | | ALPHA: (7) implies:
% 186.03/30.51  | |   (8)  all_56_1 = e2
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (4), (5), (8) are inconsistent by sub-proof #1396.
% 186.03/30.51  | | 
% 186.03/30.51  | Case 2:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (9)  all_56_3 = e2 & op(e2, e2) = e2
% 186.03/30.51  | | 
% 186.03/30.51  | | ALPHA: (9) implies:
% 186.03/30.51  | |   (10)  op(e2, e2) = e2
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1586.
% 186.03/30.51  | | 
% 186.03/30.51  | End of split
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1074 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  all_56_12 = e3 & op(e0, e3) = e3
% 186.03/30.51    (2)  all_56_12 = e2
% 186.03/30.51    (3)   ~ (e3 = e2)
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | ALPHA: (1) implies:
% 186.03/30.51  |   (4)  all_56_12 = e3
% 186.03/30.51  | 
% 186.03/30.51  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.51  |   (5)  e3 = e2
% 186.03/30.51  | 
% 186.03/30.51  | REDUCE: (3), (5) imply:
% 186.03/30.51  |   (6)  $false
% 186.03/30.51  | 
% 186.03/30.51  | CLOSE: (6) is inconsistent.
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1075 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 186.03/30.51    (2)   ~ (all_52_1 = e2)
% 186.03/30.51    (3)  op(e2, e3) = all_52_1
% 186.03/30.51    (4)  all_54_4 = all_52_1
% 186.03/30.51    (5)   ~ (all_52_1 = e3)
% 186.03/30.51    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.51    (7)  op(e2, e3) = e2
% 186.03/30.51    (8)   ~ (all_52_1 = e1)
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | BETA: splitting (1) gives:
% 186.03/30.51  | 
% 186.03/30.51  | Case 1:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (9)  all_54_4 = e3
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (4), (5), (9) are inconsistent by sub-proof #1078.
% 186.03/30.51  | | 
% 186.03/30.51  | Case 2:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (10)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (10) are inconsistent by sub-proof
% 186.03/30.51  | |            #1076.
% 186.03/30.51  | | 
% 186.03/30.51  | End of split
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1076 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)   ~ (all_52_1 = e2)
% 186.03/30.51    (2)  op(e2, e3) = all_52_1
% 186.03/30.51    (3)  all_54_4 = all_52_1
% 186.03/30.51    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.51    (5)  op(e2, e3) = e2
% 186.03/30.51    (6)   ~ (all_52_1 = e1)
% 186.03/30.51    (7)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | BETA: splitting (7) gives:
% 186.03/30.51  | 
% 186.03/30.51  | Case 1:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (8)  all_54_4 = e2
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #1084.
% 186.03/30.51  | | 
% 186.03/30.51  | Case 2:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (9)   ~ (all_54_4 = e2)
% 186.03/30.51  | |   (10)  all_54_4 = e1 | all_54_4 = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (10) are inconsistent by sub-proof
% 186.03/30.51  | |            #1077.
% 186.03/30.51  | | 
% 186.03/30.51  | End of split
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1077 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)   ~ (all_52_1 = e2)
% 186.03/30.51    (2)  op(e2, e3) = all_52_1
% 186.03/30.51    (3)  all_54_4 = all_52_1
% 186.03/30.51    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.51    (5)  op(e2, e3) = e2
% 186.03/30.51    (6)   ~ (all_52_1 = e1)
% 186.03/30.51    (7)  all_54_4 = e1 | all_54_4 = e0
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | BETA: splitting (7) gives:
% 186.03/30.51  | 
% 186.03/30.51  | Case 1:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (8)  all_54_4 = e1
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (3), (6), (8) are inconsistent by sub-proof #1083.
% 186.03/30.51  | | 
% 186.03/30.51  | Case 2:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (9)  all_54_4 = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | COMBINE_EQS: (3), (9) imply:
% 186.03/30.51  | |   (10)  all_52_1 = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | SIMP: (10) implies:
% 186.03/30.51  | |   (11)  all_52_1 = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | REDUCE: (1), (11) imply:
% 186.03/30.51  | |   (12)   ~ (e2 = e0)
% 186.03/30.51  | | 
% 186.03/30.51  | | SIMP: (12) implies:
% 186.03/30.51  | |   (13)   ~ (e2 = e0)
% 186.03/30.51  | | 
% 186.03/30.51  | | REDUCE: (2), (11) imply:
% 186.03/30.51  | |   (14)  op(e2, e3) = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (4), (5), (13), (14) are inconsistent by sub-proof #1412.
% 186.03/30.51  | | 
% 186.03/30.51  | End of split
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1078 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  all_54_4 = all_52_1
% 186.03/30.51    (2)  all_54_4 = e3
% 186.03/30.51    (3)   ~ (all_52_1 = e3)
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.51  |   (4)  all_52_1 = e3
% 186.03/30.51  | 
% 186.03/30.51  | SIMP: (4) implies:
% 186.03/30.51  |   (5)  all_52_1 = e3
% 186.03/30.51  | 
% 186.03/30.51  | REDUCE: (3), (5) imply:
% 186.03/30.51  |   (6)  $false
% 186.03/30.51  | 
% 186.03/30.51  | CLOSE: (6) is inconsistent.
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1079 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  all_54_8 = e1 | all_54_8 = e0
% 186.03/30.51    (2)  all_54_8 = all_52_2
% 186.03/30.51    (3)   ~ (all_52_2 = e1)
% 186.03/30.51    (4)   ~ (all_52_2 = e0)
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | BETA: splitting (1) gives:
% 186.03/30.51  | 
% 186.03/30.51  | Case 1:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (5)  all_54_8 = e1
% 186.03/30.51  | | 
% 186.03/30.51  | | COMBINE_EQS: (2), (5) imply:
% 186.03/30.51  | |   (6)  all_52_2 = e1
% 186.03/30.51  | | 
% 186.03/30.51  | | REDUCE: (3), (6) imply:
% 186.03/30.51  | |   (7)  $false
% 186.03/30.51  | | 
% 186.03/30.51  | | CLOSE: (7) is inconsistent.
% 186.03/30.51  | | 
% 186.03/30.51  | Case 2:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (8)  all_54_8 = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | COMBINE_EQS: (2), (8) imply:
% 186.03/30.51  | |   (9)  all_52_2 = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | REDUCE: (4), (9) imply:
% 186.03/30.51  | |   (10)  $false
% 186.03/30.51  | | 
% 186.03/30.51  | | CLOSE: (10) is inconsistent.
% 186.03/30.51  | | 
% 186.03/30.51  | End of split
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1080 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)   ~ (all_52_14 = e0)
% 186.03/30.51    (2)   ~ (all_52_14 = e1)
% 186.03/30.51    (3)  op(e3, e0) = all_52_12
% 186.03/30.51    (4)   ~ (all_52_14 = e2)
% 186.03/30.51    (5)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 186.03/30.51    (6)   ~ (all_52_12 = all_52_14)
% 186.03/30.51    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.51    (8)  all_54_11 = all_52_14
% 186.03/30.51    (9)  op(e3, e0) = e3
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | BETA: splitting (5) gives:
% 186.03/30.51  | 
% 186.03/30.51  | Case 1:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (10)  all_54_11 = e3
% 186.03/30.51  | | 
% 186.03/30.51  | | COMBINE_EQS: (8), (10) imply:
% 186.03/30.51  | |   (11)  all_52_14 = e3
% 186.03/30.51  | | 
% 186.03/30.51  | | SIMP: (11) implies:
% 186.03/30.51  | |   (12)  all_52_14 = e3
% 186.03/30.51  | | 
% 186.03/30.51  | | REDUCE: (6), (12) imply:
% 186.03/30.51  | |   (13)   ~ (all_52_12 = e3)
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (3), (7), (9), (13) are inconsistent by sub-proof #1615.
% 186.03/30.51  | | 
% 186.03/30.51  | Case 2:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (14)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (1), (2), (4), (8), (14) are inconsistent by sub-proof #1112.
% 186.03/30.51  | | 
% 186.03/30.51  | End of split
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1081 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  op(e2, e3) = e3
% 186.03/30.51    (2)   ~ (all_52_1 = e2)
% 186.03/30.51    (3)  op(e2, e3) = all_52_1
% 186.03/30.51    (4)  all_54_4 = all_52_1
% 186.03/30.51    (5)   ~ (all_52_1 = e3)
% 186.03/30.51    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.51    (7)   ~ (all_52_1 = e1)
% 186.03/30.51    (8)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | BETA: splitting (8) gives:
% 186.03/30.51  | 
% 186.03/30.51  | Case 1:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (9)  all_54_4 = e2
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #1084.
% 186.03/30.51  | | 
% 186.03/30.51  | Case 2:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (10)  all_54_4 = e1 | all_54_4 = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (10) are inconsistent by sub-proof
% 186.03/30.51  | |            #1082.
% 186.03/30.51  | | 
% 186.03/30.51  | End of split
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1082 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  op(e2, e3) = e3
% 186.03/30.51    (2)  op(e2, e3) = all_52_1
% 186.03/30.51    (3)  all_54_4 = all_52_1
% 186.03/30.51    (4)   ~ (all_52_1 = e3)
% 186.03/30.51    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.51    (6)   ~ (all_52_1 = e1)
% 186.03/30.51    (7)  all_54_4 = e1 | all_54_4 = e0
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | BETA: splitting (7) gives:
% 186.03/30.51  | 
% 186.03/30.51  | Case 1:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (8)  all_54_4 = e1
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (3), (6), (8) are inconsistent by sub-proof #1083.
% 186.03/30.51  | | 
% 186.03/30.51  | Case 2:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (9)  all_54_4 = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | COMBINE_EQS: (3), (9) imply:
% 186.03/30.51  | |   (10)  all_52_1 = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | SIMP: (10) implies:
% 186.03/30.51  | |   (11)  all_52_1 = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | REDUCE: (4), (11) imply:
% 186.03/30.51  | |   (12)   ~ (e3 = e0)
% 186.03/30.51  | | 
% 186.03/30.51  | | SIMP: (12) implies:
% 186.03/30.51  | |   (13)   ~ (e3 = e0)
% 186.03/30.51  | | 
% 186.03/30.51  | | REDUCE: (2), (11) imply:
% 186.03/30.51  | |   (14)  op(e2, e3) = e0
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (1), (5), (13), (14) are inconsistent by sub-proof #1596.
% 186.03/30.51  | | 
% 186.03/30.51  | End of split
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1083 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  all_54_4 = all_52_1
% 186.03/30.51    (2)  all_54_4 = e1
% 186.03/30.51    (3)   ~ (all_52_1 = e1)
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.51  |   (4)  all_52_1 = e1
% 186.03/30.51  | 
% 186.03/30.51  | SIMP: (4) implies:
% 186.03/30.51  |   (5)  all_52_1 = e1
% 186.03/30.51  | 
% 186.03/30.51  | REDUCE: (3), (5) imply:
% 186.03/30.51  |   (6)  $false
% 186.03/30.51  | 
% 186.03/30.51  | CLOSE: (6) is inconsistent.
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1084 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  all_54_4 = all_52_1
% 186.03/30.51    (2)  all_54_4 = e2
% 186.03/30.51    (3)   ~ (all_52_1 = e2)
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.51  |   (4)  all_52_1 = e2
% 186.03/30.51  | 
% 186.03/30.51  | SIMP: (4) implies:
% 186.03/30.51  |   (5)  all_52_1 = e2
% 186.03/30.51  | 
% 186.03/30.51  | REDUCE: (3), (5) imply:
% 186.03/30.51  |   (6)  $false
% 186.03/30.51  | 
% 186.03/30.51  | CLOSE: (6) is inconsistent.
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1085 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 186.03/30.51    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.51           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.51    (3)   ~ (e3 = e2)
% 186.03/30.51    (4)  all_56_14 = e3
% 186.03/30.51    (5)   ~ (e2 = e1)
% 186.03/30.51    (6)  op(e1, e1) = e1
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | BETA: splitting (1) gives:
% 186.03/30.51  | 
% 186.03/30.51  | Case 1:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (7)  all_56_8 = e2 & op(e1, e1) = e2
% 186.03/30.51  | | 
% 186.03/30.51  | | ALPHA: (7) implies:
% 186.03/30.51  | |   (8)  op(e1, e1) = e2
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1473.
% 186.03/30.51  | | 
% 186.03/30.51  | Case 2:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (9)  all_56_14 = e2 & op(e0, e1) = e2
% 186.03/30.51  | | 
% 186.03/30.51  | | ALPHA: (9) implies:
% 186.03/30.51  | |   (10)  all_56_14 = e2
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (3), (4), (10) are inconsistent by sub-proof #1512.
% 186.03/30.51  | | 
% 186.03/30.51  | End of split
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1086 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  all_56_13 = e2
% 186.03/30.51    (2)  all_56_13 = e1
% 186.03/30.51    (3)   ~ (e2 = e1)
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.51  |   (4)  e2 = e1
% 186.03/30.51  | 
% 186.03/30.51  | SIMP: (4) implies:
% 186.03/30.51  |   (5)  e2 = e1
% 186.03/30.51  | 
% 186.03/30.51  | REDUCE: (3), (5) imply:
% 186.03/30.51  |   (6)  $false
% 186.03/30.51  | 
% 186.03/30.51  | CLOSE: (6) is inconsistent.
% 186.03/30.51  | 
% 186.03/30.51  End of proof
% 186.03/30.51  
% 186.03/30.51  Sub-proof #1087 shows that the following formulas are inconsistent:
% 186.03/30.51  ----------------------------------------------------------------
% 186.03/30.51    (1)  op(e0, e0) = all_6_2
% 186.03/30.51    (2)   ~ (all_52_11 = e1)
% 186.03/30.51    (3)   ~ (all_6_2 = e1)
% 186.03/30.51    (4)   ~ (e1 = e0)
% 186.03/30.51    (5)   ~ (e3 = e0)
% 186.03/30.51    (6)  op(e0, e1) = all_52_11
% 186.03/30.51    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.03/30.51         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.03/30.51    (8)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.03/30.51         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.51    (9)   ~ (e2 = e0)
% 186.03/30.51    (10)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.03/30.51          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 186.03/30.51    (11)   ~ (e3 = e1)
% 186.03/30.51    (12)  all_56_14 = e2
% 186.03/30.51    (13)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.51            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.51    (14)  all_56_11 = e2
% 186.03/30.51    (15)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.03/30.51          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.51            e1)
% 186.03/30.51    (16)   ~ (e3 = e2)
% 186.03/30.51    (17)  op(e3, e3) = e1
% 186.03/30.51    (18)  all_56_10 = e1
% 186.03/30.51    (19)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 186.03/30.51          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 186.03/30.51    (20)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.03/30.51          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.03/30.51            e3)
% 186.03/30.51    (21)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 186.03/30.51          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.03/30.51    (22)   ~ (e2 = e1)
% 186.03/30.51    (23)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.51              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.51                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.03/30.51                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.03/30.51    (24)  op(e2, e2) = e2
% 186.03/30.51    (25)  op(e1, e1) = e1
% 186.03/30.51  
% 186.03/30.51  Begin of proof
% 186.03/30.51  | 
% 186.03/30.51  | BETA: splitting (7) gives:
% 186.03/30.51  | 
% 186.03/30.51  | Case 1:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (26)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 186.03/30.51  | |           e2)
% 186.03/30.51  | | 
% 186.03/30.51  | | REF_CLOSE: (4), (5), (9), (10), (11), (13), (16), (17), (18), (19), (22),
% 186.03/30.51  | |            (24), (26) are inconsistent by sub-proof #1099.
% 186.03/30.51  | | 
% 186.03/30.51  | Case 2:
% 186.03/30.51  | | 
% 186.03/30.51  | |   (27)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 186.03/30.51  | |           e2)
% 186.03/30.51  | | 
% 186.03/30.51  | | BETA: splitting (27) gives:
% 186.03/30.51  | | 
% 186.03/30.51  | | Case 1:
% 186.03/30.51  | | | 
% 186.03/30.51  | | |   (28)  all_56_6 = e2 & op(e1, e3) = e2
% 186.03/30.51  | | | 
% 186.03/30.51  | | | ALPHA: (28) implies:
% 186.03/30.51  | | |   (29)  all_56_6 = e2
% 186.03/30.51  | | | 
% 186.03/30.51  | | | REF_CLOSE: (4), (5), (8), (9), (11), (13), (14), (16), (21), (25), (29)
% 186.03/30.51  | | |            are inconsistent by sub-proof #1450.
% 186.03/30.51  | | | 
% 186.03/30.51  | | Case 2:
% 186.03/30.51  | | | 
% 186.03/30.51  | | |   (30)  all_56_12 = e2 & op(e0, e3) = e2
% 186.03/30.51  | | | 
% 186.03/30.51  | | | ALPHA: (30) implies:
% 186.03/30.51  | | |   (31)  all_56_12 = e2
% 186.03/30.51  | | | 
% 186.03/30.51  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (9), (11), (12), (13), (15),
% 186.03/30.51  | | |            (16), (20), (22), (23), (31) are inconsistent by sub-proof
% 186.03/30.51  | | |            #1095.
% 186.03/30.51  | | | 
% 186.03/30.52  | | End of split
% 186.03/30.52  | | 
% 186.03/30.52  | End of split
% 186.03/30.52  | 
% 186.03/30.52  End of proof
% 186.03/30.52  
% 186.03/30.52  Sub-proof #1088 shows that the following formulas are inconsistent:
% 186.03/30.52  ----------------------------------------------------------------
% 186.03/30.52    (1)  op(e0, e0) = all_6_2
% 186.03/30.52    (2)   ~ (all_6_2 = e1)
% 186.03/30.52    (3)   ~ (e1 = e0)
% 186.03/30.52    (4)  op(e1, e0) = all_52_14
% 186.03/30.52    (5)   ~ (e3 = e0)
% 186.03/30.52    (6)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 186.03/30.52         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.03/30.52    (7)   ~ (all_52_14 = e1)
% 186.03/30.52    (8)   ~ (e3 = e1)
% 186.03/30.52    (9)  all_56_9 = e0
% 186.03/30.52    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.52            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.52    (11)  op(e3, e0) = e0
% 186.03/30.52    (12)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 186.03/30.52  
% 186.03/30.52  Begin of proof
% 186.03/30.52  | 
% 186.03/30.52  | BETA: splitting (12) gives:
% 186.03/30.52  | 
% 186.03/30.52  | Case 1:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (13)  all_56_9 = e3 & op(e3, e0) = e3
% 186.03/30.52  | | 
% 186.03/30.52  | | ALPHA: (13) implies:
% 186.03/30.52  | |   (14)  op(e3, e0) = e3
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (5), (10), (11), (14) are inconsistent by sub-proof #1189.
% 186.03/30.52  | | 
% 186.03/30.52  | Case 2:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (15)  all_56_10 = e3 & op(e2, e0) = e3
% 186.03/30.52  | | 
% 186.03/30.52  | | ALPHA: (15) implies:
% 186.03/30.52  | |   (16)  all_56_10 = e3
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (16) are
% 186.03/30.52  | |            inconsistent by sub-proof #1483.
% 186.03/30.52  | | 
% 186.03/30.52  | End of split
% 186.03/30.52  | 
% 186.03/30.52  End of proof
% 186.03/30.52  
% 186.03/30.52  Sub-proof #1089 shows that the following formulas are inconsistent:
% 186.03/30.52  ----------------------------------------------------------------
% 186.03/30.52    (1)   ~ (all_52_4 = all_52_12)
% 186.03/30.52    (2)  op(e3, e0) = all_52_12
% 186.03/30.52    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.52    (4)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 186.03/30.52    (5)  op(e3, e2) = e3
% 186.03/30.52    (6)  op(e3, e2) = all_52_4
% 186.03/30.52    (7)  op(e3, e0) = e3
% 186.03/30.52    (8)  all_54_3 = all_52_12
% 186.03/30.52  
% 186.03/30.52  Begin of proof
% 186.03/30.52  | 
% 186.03/30.52  | BETA: splitting (4) gives:
% 186.03/30.52  | 
% 186.03/30.52  | Case 1:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (9)  all_54_3 = e3
% 186.03/30.52  | | 
% 186.03/30.52  | | COMBINE_EQS: (8), (9) imply:
% 186.03/30.52  | |   (10)  all_52_12 = e3
% 186.03/30.52  | | 
% 186.03/30.52  | | SIMP: (10) implies:
% 186.03/30.52  | |   (11)  all_52_12 = e3
% 186.03/30.52  | | 
% 186.03/30.52  | | REDUCE: (1), (11) imply:
% 186.03/30.52  | |   (12)   ~ (all_52_4 = e3)
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (3), (5), (6), (12) are inconsistent by sub-proof #1603.
% 186.03/30.52  | | 
% 186.03/30.52  | Case 2:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (13)   ~ (all_54_3 = e3)
% 186.03/30.52  | | 
% 186.03/30.52  | | REDUCE: (8), (13) imply:
% 186.03/30.52  | |   (14)   ~ (all_52_12 = e3)
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (2), (3), (7), (14) are inconsistent by sub-proof #1615.
% 186.03/30.52  | | 
% 186.03/30.52  | End of split
% 186.03/30.52  | 
% 186.03/30.52  End of proof
% 186.03/30.52  
% 186.03/30.52  Sub-proof #1090 shows that the following formulas are inconsistent:
% 186.03/30.52  ----------------------------------------------------------------
% 186.03/30.52    (1)  op(e0, e0) = all_6_2
% 186.03/30.52    (2)   ~ (all_4_2 = e0)
% 186.03/30.52    (3)   ~ (all_6_2 = e1)
% 186.03/30.52    (4)   ~ (e1 = e0)
% 186.03/30.52    (5)   ~ (e3 = e0)
% 186.03/30.52    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.03/30.52         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.03/30.52    (7)   ~ (e2 = e0)
% 186.03/30.52    (8)   ~ (e3 = e1)
% 186.03/30.52    (9)   ~ (all_6_2 = e2)
% 186.03/30.52    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.52            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.52    (11)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.03/30.52          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.52            e1)
% 186.03/30.52    (12)   ~ (e3 = e2)
% 186.03/30.52    (13)  all_56_2 = e3
% 186.03/30.52    (14)  all_56_12 = e1
% 186.03/30.52    (15)  all_56_14 = e3
% 186.03/30.52    (16)  op(e3, e3) = all_4_2
% 186.03/30.52    (17)  op(e3, e3) = e3
% 186.03/30.52    (18)   ~ (e2 = e1)
% 186.03/30.52    (19)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.03/30.52          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.52            e2)
% 186.03/30.52    (20)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.52          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.52  
% 186.03/30.52  Begin of proof
% 186.03/30.52  | 
% 186.03/30.52  | BETA: splitting (20) gives:
% 186.03/30.52  | 
% 186.03/30.52  | Case 1:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (21)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 186.03/30.52  | |           e0)
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (2), (5), (10), (13), (16), (21) are inconsistent by sub-proof
% 186.03/30.52  | |            #1093.
% 186.03/30.52  | | 
% 186.03/30.52  | Case 2:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (22)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 186.03/30.52  | |           e0)
% 186.03/30.52  | | 
% 186.03/30.52  | | BETA: splitting (22) gives:
% 186.03/30.52  | | 
% 186.03/30.52  | | Case 1:
% 186.03/30.52  | | | 
% 186.03/30.52  | | |   (23)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.52  | | | 
% 186.03/30.52  | | | ALPHA: (23) implies:
% 186.03/30.52  | | |   (24)  all_56_6 = e0
% 186.03/30.52  | | | 
% 186.03/30.52  | | | REF_CLOSE: (6), (7), (10), (12), (13), (14), (17), (18), (24) are
% 186.03/30.52  | | |            inconsistent by sub-proof #1590.
% 186.03/30.52  | | | 
% 186.03/30.52  | | Case 2:
% 186.03/30.52  | | | 
% 186.03/30.52  | | |   (25)  all_56_12 = e0 & op(e0, e3) = e0
% 186.03/30.52  | | | 
% 186.03/30.52  | | | ALPHA: (25) implies:
% 186.03/30.52  | | |   (26)  all_56_12 = e0
% 186.03/30.52  | | |   (27)  op(e0, e3) = e0
% 186.03/30.52  | | | 
% 186.03/30.52  | | | REF_CLOSE: (1), (3), (4), (7), (8), (9), (10), (11), (12), (15), (18),
% 186.03/30.52  | | |            (19), (26), (27) are inconsistent by sub-proof #1506.
% 186.03/30.52  | | | 
% 186.03/30.52  | | End of split
% 186.03/30.52  | | 
% 186.03/30.52  | End of split
% 186.03/30.52  | 
% 186.03/30.52  End of proof
% 186.03/30.52  
% 186.03/30.52  Sub-proof #1091 shows that the following formulas are inconsistent:
% 186.03/30.52  ----------------------------------------------------------------
% 186.03/30.52    (1)  op(e0, e0) = all_6_2
% 186.03/30.52    (2)   ~ (all_4_2 = e0)
% 186.03/30.52    (3)   ~ (all_6_2 = e1)
% 186.03/30.52    (4)   ~ (e1 = e0)
% 186.03/30.52    (5)   ~ (e3 = e0)
% 186.03/30.52    (6)   ~ (e2 = e0)
% 186.03/30.52    (7)   ~ (e3 = e1)
% 186.03/30.52    (8)   ~ (all_6_2 = e2)
% 186.03/30.52    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.52    (10)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.03/30.52          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.52            e1)
% 186.03/30.52    (11)   ~ (e3 = e2)
% 186.03/30.52    (12)  all_56_2 = e3
% 186.03/30.52    (13)  all_56_14 = e3
% 186.03/30.52    (14)  op(e3, e3) = all_4_2
% 186.03/30.52    (15)   ~ (e2 = e1)
% 186.03/30.52    (16)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.03/30.52          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.52            e2)
% 186.03/30.52    (17)  all_56_6 = e1
% 186.03/30.52    (18)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.52          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.52  
% 186.03/30.52  Begin of proof
% 186.03/30.52  | 
% 186.03/30.52  | BETA: splitting (18) gives:
% 186.03/30.52  | 
% 186.03/30.52  | Case 1:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (19)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 186.03/30.52  | |           e0)
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (2), (5), (9), (12), (14), (19) are inconsistent by sub-proof
% 186.03/30.52  | |            #1093.
% 186.03/30.52  | | 
% 186.03/30.52  | Case 2:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (20)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 186.03/30.52  | |           e0)
% 186.03/30.52  | | 
% 186.03/30.52  | | BETA: splitting (20) gives:
% 186.03/30.52  | | 
% 186.03/30.52  | | Case 1:
% 186.03/30.52  | | | 
% 186.03/30.52  | | |   (21)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.52  | | | 
% 186.03/30.52  | | | REF_CLOSE: (4), (17), (21) are inconsistent by sub-proof #1092.
% 186.03/30.52  | | | 
% 186.03/30.52  | | Case 2:
% 186.03/30.52  | | | 
% 186.03/30.52  | | |   (22)  all_56_12 = e0 & op(e0, e3) = e0
% 186.03/30.52  | | | 
% 186.03/30.52  | | | ALPHA: (22) implies:
% 186.03/30.52  | | |   (23)  all_56_12 = e0
% 186.03/30.52  | | |   (24)  op(e0, e3) = e0
% 186.03/30.52  | | | 
% 186.03/30.52  | | | REF_CLOSE: (1), (3), (4), (6), (7), (8), (9), (10), (11), (13), (15),
% 186.03/30.52  | | |            (16), (23), (24) are inconsistent by sub-proof #1506.
% 186.03/30.52  | | | 
% 186.03/30.52  | | End of split
% 186.03/30.52  | | 
% 186.03/30.52  | End of split
% 186.03/30.52  | 
% 186.03/30.52  End of proof
% 186.03/30.52  
% 186.03/30.52  Sub-proof #1092 shows that the following formulas are inconsistent:
% 186.03/30.52  ----------------------------------------------------------------
% 186.03/30.52    (1)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.52    (2)  all_56_6 = e1
% 186.03/30.52    (3)   ~ (e1 = e0)
% 186.03/30.52  
% 186.03/30.52  Begin of proof
% 186.03/30.52  | 
% 186.03/30.52  | ALPHA: (1) implies:
% 186.03/30.52  |   (4)  all_56_6 = e0
% 186.03/30.52  | 
% 186.03/30.52  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.52  |   (5)  e1 = e0
% 186.03/30.52  | 
% 186.03/30.52  | REDUCE: (3), (5) imply:
% 186.03/30.52  |   (6)  $false
% 186.03/30.52  | 
% 186.03/30.52  | CLOSE: (6) is inconsistent.
% 186.03/30.52  | 
% 186.03/30.52  End of proof
% 186.03/30.52  
% 186.03/30.52  Sub-proof #1093 shows that the following formulas are inconsistent:
% 186.03/30.52  ----------------------------------------------------------------
% 186.03/30.52    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 186.03/30.52    (2)   ~ (all_4_2 = e0)
% 186.03/30.52    (3)   ~ (e3 = e0)
% 186.03/30.52    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.52    (5)  all_56_2 = e3
% 186.03/30.52    (6)  op(e3, e3) = all_4_2
% 186.03/30.52  
% 186.03/30.52  Begin of proof
% 186.03/30.52  | 
% 186.03/30.52  | BETA: splitting (1) gives:
% 186.03/30.52  | 
% 186.03/30.52  | Case 1:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 186.03/30.52  | | 
% 186.03/30.52  | | ALPHA: (7) implies:
% 186.03/30.52  | |   (8)  op(e3, e3) = e0
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1624.
% 186.03/30.52  | | 
% 186.03/30.52  | Case 2:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (9)  all_56_2 = e0 & op(e2, e3) = e0
% 186.03/30.52  | | 
% 186.03/30.52  | | ALPHA: (9) implies:
% 186.03/30.52  | |   (10)  all_56_2 = e0
% 186.03/30.52  | | 
% 186.03/30.52  | | COMBINE_EQS: (5), (10) imply:
% 186.03/30.52  | |   (11)  e3 = e0
% 186.03/30.52  | | 
% 186.03/30.52  | | REDUCE: (3), (11) imply:
% 186.03/30.52  | |   (12)  $false
% 186.03/30.52  | | 
% 186.03/30.52  | | CLOSE: (12) is inconsistent.
% 186.03/30.52  | | 
% 186.03/30.52  | End of split
% 186.03/30.52  | 
% 186.03/30.52  End of proof
% 186.03/30.52  
% 186.03/30.52  Sub-proof #1094 shows that the following formulas are inconsistent:
% 186.03/30.52  ----------------------------------------------------------------
% 186.03/30.52    (1)   ~ (e3 = e1)
% 186.03/30.52    (2)  op(e2, e3) = all_52_1
% 186.03/30.52    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.52    (4)   ~ (all_52_1 = e1)
% 186.03/30.52    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 186.03/30.52    (6)  op(e3, e3) = e3
% 186.03/30.52  
% 186.03/30.52  Begin of proof
% 186.03/30.52  | 
% 186.03/30.52  | BETA: splitting (5) gives:
% 186.03/30.52  | 
% 186.03/30.52  | Case 1:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 186.03/30.52  | | 
% 186.03/30.52  | | ALPHA: (7) implies:
% 186.03/30.52  | |   (8)  op(e3, e3) = e1
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1600.
% 186.03/30.52  | | 
% 186.03/30.52  | Case 2:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (9)  all_56_2 = e1 & op(e2, e3) = e1
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #1352.
% 186.03/30.52  | | 
% 186.03/30.52  | End of split
% 186.03/30.52  | 
% 186.03/30.52  End of proof
% 186.03/30.52  
% 186.03/30.52  Sub-proof #1095 shows that the following formulas are inconsistent:
% 186.03/30.52  ----------------------------------------------------------------
% 186.03/30.52    (1)  op(e0, e0) = all_6_2
% 186.03/30.52    (2)   ~ (all_52_11 = e1)
% 186.03/30.52    (3)   ~ (all_6_2 = e1)
% 186.03/30.52    (4)   ~ (e1 = e0)
% 186.03/30.52    (5)   ~ (e3 = e0)
% 186.03/30.52    (6)  op(e0, e1) = all_52_11
% 186.03/30.52    (7)   ~ (e2 = e0)
% 186.03/30.52    (8)   ~ (e3 = e1)
% 186.03/30.52    (9)  all_56_14 = e2
% 186.03/30.52    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.52            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.52    (11)  all_56_12 = e2
% 186.03/30.52    (12)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.03/30.52          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.52            e1)
% 186.03/30.52    (13)   ~ (e3 = e2)
% 186.03/30.52    (14)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.03/30.52          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.03/30.52            e3)
% 186.03/30.52    (15)   ~ (e2 = e1)
% 186.03/30.52    (16)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.52              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.52                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.03/30.52                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.03/30.52  
% 186.03/30.52  Begin of proof
% 186.03/30.52  | 
% 186.03/30.52  | BETA: splitting (12) gives:
% 186.03/30.52  | 
% 186.03/30.52  | Case 1:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (17)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 186.03/30.52  | |           e1)
% 186.03/30.52  | | 
% 186.03/30.52  | | BETA: splitting (17) gives:
% 186.03/30.52  | | 
% 186.03/30.52  | | Case 1:
% 186.03/30.52  | | | 
% 186.03/30.52  | | |   (18)  all_56_12 = e1 & op(e0, e3) = e1
% 186.03/30.52  | | | 
% 186.03/30.52  | | | REF_CLOSE: (11), (15), (18) are inconsistent by sub-proof #1550.
% 186.03/30.52  | | | 
% 186.03/30.52  | | Case 2:
% 186.03/30.52  | | | 
% 186.03/30.52  | | |   (19)  all_56_13 = e1 & op(e0, e2) = e1
% 186.03/30.52  | | | 
% 186.03/30.52  | | | ALPHA: (19) implies:
% 186.03/30.52  | | |   (20)  all_56_13 = e1
% 186.03/30.52  | | | 
% 186.03/30.52  | | | REF_CLOSE: (4), (5), (7), (8), (9), (10), (11), (13), (14), (16), (20) are
% 186.03/30.52  | | |            inconsistent by sub-proof #1096.
% 186.03/30.52  | | | 
% 186.03/30.52  | | End of split
% 186.03/30.52  | | 
% 186.03/30.52  | Case 2:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (21)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.52  | |           e1)
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (1), (2), (3), (6), (10), (21) are inconsistent by sub-proof
% 186.03/30.52  | |            #1515.
% 186.03/30.52  | | 
% 186.03/30.52  | End of split
% 186.03/30.52  | 
% 186.03/30.52  End of proof
% 186.03/30.52  
% 186.03/30.52  Sub-proof #1096 shows that the following formulas are inconsistent:
% 186.03/30.52  ----------------------------------------------------------------
% 186.03/30.52    (1)   ~ (e1 = e0)
% 186.03/30.52    (2)   ~ (e3 = e0)
% 186.03/30.52    (3)   ~ (e2 = e0)
% 186.03/30.52    (4)   ~ (e3 = e1)
% 186.03/30.52    (5)  all_56_14 = e2
% 186.03/30.52    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.52    (7)  all_56_12 = e2
% 186.03/30.52    (8)   ~ (e3 = e2)
% 186.03/30.52    (9)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3) |
% 186.03/30.52         (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 186.03/30.52    (10)  all_56_13 = e1
% 186.03/30.52    (11)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.52              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.52                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.03/30.52                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.03/30.52  
% 186.03/30.52  Begin of proof
% 186.03/30.52  | 
% 186.03/30.52  | BETA: splitting (9) gives:
% 186.03/30.52  | 
% 186.03/30.52  | Case 1:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (12)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 186.03/30.52  | |           e3)
% 186.03/30.52  | | 
% 186.03/30.52  | | BETA: splitting (12) gives:
% 186.03/30.52  | | 
% 186.03/30.52  | | Case 1:
% 186.03/30.52  | | | 
% 186.03/30.52  | | |   (13)  all_56_12 = e3 & op(e0, e3) = e3
% 186.03/30.52  | | | 
% 186.03/30.52  | | | ALPHA: (13) implies:
% 186.03/30.52  | | |   (14)  all_56_12 = e3
% 186.03/30.52  | | | 
% 186.03/30.52  | | | REF_CLOSE: (7), (8), (14) are inconsistent by sub-proof #1555.
% 186.03/30.52  | | | 
% 186.03/30.52  | | Case 2:
% 186.03/30.52  | | | 
% 186.03/30.52  | | |   (15)  all_56_13 = e3 & op(e0, e2) = e3
% 186.03/30.52  | | | 
% 186.03/30.52  | | | ALPHA: (15) implies:
% 186.03/30.52  | | |   (16)  all_56_13 = e3
% 186.03/30.52  | | | 
% 186.03/30.52  | | | REF_CLOSE: (4), (10), (16) are inconsistent by sub-proof #1357.
% 186.03/30.52  | | | 
% 186.03/30.52  | | End of split
% 186.03/30.52  | | 
% 186.03/30.52  | Case 2:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (17)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.03/30.52  | |           e3)
% 186.03/30.52  | | 
% 186.03/30.52  | | BETA: splitting (17) gives:
% 186.03/30.52  | | 
% 186.03/30.52  | | Case 1:
% 186.03/30.52  | | | 
% 186.03/30.52  | | |   (18)  all_56_14 = e3 & op(e0, e1) = e3
% 186.03/30.52  | | | 
% 186.03/30.52  | | | ALPHA: (18) implies:
% 186.03/30.52  | | |   (19)  all_56_14 = e3
% 186.03/30.52  | | | 
% 186.03/30.52  | | | REF_CLOSE: (5), (8), (19) are inconsistent by sub-proof #1512.
% 186.03/30.52  | | | 
% 186.03/30.52  | | Case 2:
% 186.03/30.52  | | | 
% 186.03/30.52  | | |   (20)  all_56_15 = e3 & op(e0, e0) = e3
% 186.03/30.52  | | | 
% 186.03/30.52  | | | ALPHA: (20) implies:
% 186.03/30.52  | | |   (21)  op(e0, e0) = e3
% 186.03/30.52  | | | 
% 186.03/30.52  | | | BETA: splitting (11) gives:
% 186.03/30.52  | | | 
% 186.03/30.52  | | | Case 1:
% 186.03/30.52  | | | | 
% 186.03/30.52  | | | |   (22)  all_56_15 = e0 & op(e0, e0) = e0
% 186.03/30.52  | | | | 
% 186.03/30.52  | | | | ALPHA: (22) implies:
% 186.03/30.52  | | | |   (23)  op(e0, e0) = e0
% 186.03/30.52  | | | | 
% 186.03/30.52  | | | | REF_CLOSE: (2), (6), (21), (23) are inconsistent by sub-proof #1540.
% 186.03/30.52  | | | | 
% 186.03/30.52  | | | Case 2:
% 186.03/30.52  | | | | 
% 186.03/30.52  | | | |   (24)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2,
% 186.03/30.52  | | | |               e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 186.03/30.52  | | | |         ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0,
% 186.03/30.52  | | | |               e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 186.03/30.52  | | | | 
% 186.03/30.52  | | | | ALPHA: (24) implies:
% 186.03/30.52  | | | |   (25)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0,
% 186.03/30.52  | | | |             e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.03/30.52  | | | | 
% 186.03/30.52  | | | | BETA: splitting (25) gives:
% 186.03/30.52  | | | | 
% 186.03/30.52  | | | | Case 1:
% 186.03/30.52  | | | | | 
% 186.03/30.52  | | | | |   (26)  all_56_12 = e0 & op(e0, e3) = e0
% 186.03/30.52  | | | | | 
% 186.03/30.52  | | | | | REF_CLOSE: (3), (7), (26) are inconsistent by sub-proof #1553.
% 186.03/30.52  | | | | | 
% 186.03/30.52  | | | | Case 2:
% 186.03/30.52  | | | | | 
% 186.03/30.52  | | | | |   (27)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 186.03/30.52  | | | | |             e1) = e0)
% 186.03/30.52  | | | | | 
% 186.03/30.52  | | | | | BETA: splitting (27) gives:
% 186.03/30.52  | | | | | 
% 186.03/30.52  | | | | | Case 1:
% 186.03/30.52  | | | | | | 
% 186.03/30.52  | | | | | |   (28)  all_56_13 = e0 & op(e0, e2) = e0
% 186.03/30.52  | | | | | | 
% 186.03/30.52  | | | | | | REF_CLOSE: (1), (10), (28) are inconsistent by sub-proof #1372.
% 186.03/30.52  | | | | | | 
% 186.03/30.52  | | | | | Case 2:
% 186.03/30.52  | | | | | | 
% 186.03/30.52  | | | | | |   (29)  all_56_14 = e0 & op(e0, e1) = e0
% 186.03/30.52  | | | | | | 
% 186.03/30.52  | | | | | | REF_CLOSE: (3), (5), (29) are inconsistent by sub-proof #1443.
% 186.03/30.52  | | | | | | 
% 186.03/30.52  | | | | | End of split
% 186.03/30.52  | | | | | 
% 186.03/30.52  | | | | End of split
% 186.03/30.52  | | | | 
% 186.03/30.52  | | | End of split
% 186.03/30.52  | | | 
% 186.03/30.52  | | End of split
% 186.03/30.52  | | 
% 186.03/30.52  | End of split
% 186.03/30.52  | 
% 186.03/30.52  End of proof
% 186.03/30.52  
% 186.03/30.52  Sub-proof #1097 shows that the following formulas are inconsistent:
% 186.03/30.52  ----------------------------------------------------------------
% 186.03/30.52    (1)  all_56_6 = e2
% 186.03/30.52    (2)   ~ (all_4_2 = e0)
% 186.03/30.52    (3)  all_56_12 = e3 & op(e0, e3) = e3
% 186.03/30.52    (4)  op(e2, e3) = e3
% 186.03/30.52    (5)   ~ (e3 = e0)
% 186.03/30.52    (6)   ~ (e2 = e0)
% 186.03/30.52    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.52    (8)  op(e3, e3) = all_4_2
% 186.03/30.52    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.52         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.52  
% 186.03/30.52  Begin of proof
% 186.03/30.52  | 
% 186.03/30.52  | ALPHA: (3) implies:
% 186.03/30.52  |   (10)  all_56_12 = e3
% 186.03/30.52  | 
% 186.03/30.52  | BETA: splitting (9) gives:
% 186.03/30.52  | 
% 186.03/30.52  | Case 1:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 186.03/30.52  | |           e0)
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (2), (4), (5), (7), (8), (11) are inconsistent by sub-proof
% 186.03/30.52  | |            #1595.
% 186.03/30.52  | | 
% 186.03/30.52  | Case 2:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 186.03/30.52  | |           e0)
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (1), (5), (6), (10), (12) are inconsistent by sub-proof #1098.
% 186.03/30.52  | | 
% 186.03/30.52  | End of split
% 186.03/30.52  | 
% 186.03/30.52  End of proof
% 186.03/30.52  
% 186.03/30.52  Sub-proof #1098 shows that the following formulas are inconsistent:
% 186.03/30.52  ----------------------------------------------------------------
% 186.03/30.52    (1)  all_56_6 = e2
% 186.03/30.52    (2)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.52    (3)   ~ (e3 = e0)
% 186.03/30.52    (4)   ~ (e2 = e0)
% 186.03/30.52    (5)  all_56_12 = e3
% 186.03/30.52  
% 186.03/30.52  Begin of proof
% 186.03/30.52  | 
% 186.03/30.52  | BETA: splitting (2) gives:
% 186.03/30.52  | 
% 186.03/30.52  | Case 1:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (6)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.52  | | 
% 186.03/30.52  | | ALPHA: (6) implies:
% 186.03/30.52  | |   (7)  all_56_6 = e0
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (1), (4), (7) are inconsistent by sub-proof #1592.
% 186.03/30.52  | | 
% 186.03/30.52  | Case 2:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (8)  all_56_12 = e0 & op(e0, e3) = e0
% 186.03/30.52  | | 
% 186.03/30.52  | | ALPHA: (8) implies:
% 186.03/30.52  | |   (9)  all_56_12 = e0
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (3), (5), (9) are inconsistent by sub-proof #1519.
% 186.03/30.52  | | 
% 186.03/30.52  | End of split
% 186.03/30.52  | 
% 186.03/30.52  End of proof
% 186.03/30.52  
% 186.03/30.52  Sub-proof #1099 shows that the following formulas are inconsistent:
% 186.03/30.52  ----------------------------------------------------------------
% 186.03/30.52    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 186.03/30.52    (2)   ~ (e1 = e0)
% 186.03/30.52    (3)   ~ (e3 = e0)
% 186.03/30.52    (4)   ~ (e2 = e0)
% 186.03/30.52    (5)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.03/30.52         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 186.03/30.52    (6)   ~ (e3 = e1)
% 186.03/30.52    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.52    (8)   ~ (e3 = e2)
% 186.03/30.52    (9)  op(e3, e3) = e1
% 186.03/30.52    (10)  all_56_10 = e1
% 186.03/30.52    (11)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 186.03/30.52          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 186.03/30.52    (12)   ~ (e2 = e1)
% 186.03/30.52    (13)  op(e2, e2) = e2
% 186.03/30.52  
% 186.03/30.52  Begin of proof
% 186.03/30.52  | 
% 186.03/30.52  | BETA: splitting (1) gives:
% 186.03/30.52  | 
% 186.03/30.52  | Case 1:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (14)  all_56_0 = e2 & op(e3, e3) = e2
% 186.03/30.52  | | 
% 186.03/30.52  | | ALPHA: (14) implies:
% 186.03/30.52  | |   (15)  op(e3, e3) = e2
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (7), (9), (12), (15) are inconsistent by sub-proof #1582.
% 186.03/30.52  | | 
% 186.03/30.52  | Case 2:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (16)  all_56_2 = e2 & op(e2, e3) = e2
% 186.03/30.52  | | 
% 186.03/30.52  | | ALPHA: (16) implies:
% 186.03/30.52  | |   (17)  all_56_2 = e2
% 186.03/30.52  | |   (18)  op(e2, e3) = e2
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (11), (13), (17), (18)
% 186.03/30.52  | |            are inconsistent by sub-proof #1407.
% 186.03/30.52  | | 
% 186.03/30.52  | End of split
% 186.03/30.52  | 
% 186.03/30.52  End of proof
% 186.03/30.52  
% 186.03/30.52  Sub-proof #1100 shows that the following formulas are inconsistent:
% 186.03/30.52  ----------------------------------------------------------------
% 186.03/30.52    (1)  all_57_31 = e3 & op(e0, e0) = e3
% 186.03/30.52    (2)  all_57_31 = all_6_2
% 186.03/30.52    (3)   ~ (all_6_2 = e3)
% 186.03/30.52  
% 186.03/30.52  Begin of proof
% 186.03/30.52  | 
% 186.03/30.52  | ALPHA: (1) implies:
% 186.03/30.52  |   (4)  all_57_31 = e3
% 186.03/30.52  | 
% 186.03/30.52  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.52  |   (5)  all_6_2 = e3
% 186.03/30.52  | 
% 186.03/30.52  | REDUCE: (3), (5) imply:
% 186.03/30.52  |   (6)  $false
% 186.03/30.52  | 
% 186.03/30.52  | CLOSE: (6) is inconsistent.
% 186.03/30.52  | 
% 186.03/30.52  End of proof
% 186.03/30.52  
% 186.03/30.52  Sub-proof #1101 shows that the following formulas are inconsistent:
% 186.03/30.52  ----------------------------------------------------------------
% 186.03/30.52    (1)  op(e1, e1) = e3
% 186.03/30.52    (2)  op(e1, e1) = all_14_2
% 186.03/30.52    (3)   ~ (all_14_2 = e0)
% 186.03/30.52    (4)  all_54_10 = all_14_2
% 186.03/30.52    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.52    (6)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 186.03/30.52    (7)   ~ (all_14_2 = e3)
% 186.03/30.52    (8)   ~ (all_14_2 = e2)
% 186.03/30.52  
% 186.03/30.52  Begin of proof
% 186.03/30.52  | 
% 186.03/30.52  | BETA: splitting (6) gives:
% 186.03/30.52  | 
% 186.03/30.52  | Case 1:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (9)  all_54_10 = e2
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (4), (8), (9) are inconsistent by sub-proof #1620.
% 186.03/30.52  | | 
% 186.03/30.52  | Case 2:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (10)  all_54_10 = e1 | all_54_10 = e0
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (10) are inconsistent by sub-proof
% 186.03/30.52  | |            #1447.
% 186.03/30.52  | | 
% 186.03/30.52  | End of split
% 186.03/30.52  | 
% 186.03/30.52  End of proof
% 186.03/30.52  
% 186.03/30.52  Sub-proof #1102 shows that the following formulas are inconsistent:
% 186.03/30.52  ----------------------------------------------------------------
% 186.03/30.52    (1)   ~ (e3 = e1)
% 186.03/30.52    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.52    (3)   ~ (e3 = e2)
% 186.03/30.52    (4)  op(e3, e3) = e1
% 186.03/30.52    (5)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 186.03/30.52    (6)  op(e2, e2) = e2
% 186.03/30.52  
% 186.03/30.52  Begin of proof
% 186.03/30.52  | 
% 186.03/30.52  | BETA: splitting (5) gives:
% 186.03/30.52  | 
% 186.03/30.52  | Case 1:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (7)  all_57_28 = e3 & op(e3, e3) = e3
% 186.03/30.52  | | 
% 186.03/30.52  | | ALPHA: (7) implies:
% 186.03/30.52  | |   (8)  op(e3, e3) = e3
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1600.
% 186.03/30.52  | | 
% 186.03/30.52  | Case 2:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (9)  all_57_29 = e3 & op(e2, e2) = e3
% 186.03/30.52  | | 
% 186.03/30.52  | | ALPHA: (9) implies:
% 186.03/30.52  | |   (10)  op(e2, e2) = e3
% 186.03/30.52  | | 
% 186.03/30.52  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1602.
% 186.03/30.52  | | 
% 186.03/30.52  | End of split
% 186.03/30.52  | 
% 186.03/30.52  End of proof
% 186.03/30.52  
% 186.03/30.52  Sub-proof #1103 shows that the following formulas are inconsistent:
% 186.03/30.52  ----------------------------------------------------------------
% 186.03/30.52    (1)   ~ (all_4_2 = e0)
% 186.03/30.52    (2)   ~ (e1 = e0)
% 186.03/30.52    (3)   ~ (e3 = e0)
% 186.03/30.52    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.03/30.52         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.52    (5)   ~ (e2 = e0)
% 186.03/30.52    (6)   ~ (e3 = e1)
% 186.03/30.52    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.52           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.52    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.03/30.52         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.52    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.03/30.52         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.03/30.52    (10)   ~ (e3 = e2)
% 186.03/30.52    (11)  op(e3, e3) = e1
% 186.03/30.52    (12)  op(e3, e1) = all_52_8
% 186.03/30.52    (13)  op(e3, e3) = all_4_2
% 186.03/30.52    (14)  all_56_9 = e1
% 186.03/30.52    (15)   ~ (e2 = e1)
% 186.03/30.52  
% 186.03/30.52  Begin of proof
% 186.03/30.52  | 
% 186.03/30.52  | BETA: splitting (9) gives:
% 186.03/30.52  | 
% 186.03/30.52  | Case 1:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (16)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 186.03/30.52  | |           e2)
% 186.03/30.52  | | 
% 186.03/30.52  | | BETA: splitting (16) gives:
% 186.03/30.52  | | 
% 186.03/30.52  | | Case 1:
% 186.03/30.52  | | | 
% 186.03/30.52  | | |   (17)  all_56_0 = e2 & op(e3, e3) = e2
% 186.03/30.52  | | | 
% 186.03/30.52  | | | ALPHA: (17) implies:
% 186.03/30.52  | | |   (18)  op(e3, e3) = e2
% 186.03/30.52  | | | 
% 186.03/30.52  | | | REF_CLOSE: (7), (11), (15), (18) are inconsistent by sub-proof #1582.
% 186.03/30.52  | | | 
% 186.03/30.52  | | Case 2:
% 186.03/30.52  | | | 
% 186.03/30.52  | | |   (19)  all_56_1 = e2 & op(e3, e2) = e2
% 186.03/30.52  | | | 
% 186.03/30.52  | | | ALPHA: (19) implies:
% 186.03/30.52  | | |   (20)  all_56_1 = e2
% 186.03/30.52  | | | 
% 186.03/30.52  | | | BETA: splitting (4) gives:
% 186.03/30.52  | | | 
% 186.03/30.52  | | | Case 1:
% 186.03/30.52  | | | | 
% 186.03/30.52  | | | |   (21)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2)
% 186.03/30.52  | | | |           = e0)
% 186.03/30.52  | | | | 
% 186.03/30.52  | | | | REF_CLOSE: (1), (5), (7), (13), (20), (21) are inconsistent by sub-proof
% 186.03/30.52  | | | |            #1104.
% 186.03/30.52  | | | | 
% 186.03/30.52  | | | Case 2:
% 186.03/30.52  | | | | 
% 186.03/30.52  | | | |   (22)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0)
% 186.03/30.52  | | | |           = e0)
% 186.03/30.52  | | | | 
% 186.03/30.52  | | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (14),
% 186.03/30.52  | | | |            (15), (22) are inconsistent by sub-proof #1374.
% 186.03/30.52  | | | | 
% 186.03/30.52  | | | End of split
% 186.03/30.52  | | | 
% 186.03/30.52  | | End of split
% 186.03/30.52  | | 
% 186.03/30.52  | Case 2:
% 186.03/30.52  | | 
% 186.03/30.52  | |   (23)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 186.03/30.52  | |           e2)
% 186.03/30.52  | | 
% 186.03/30.52  | | BETA: splitting (23) gives:
% 186.03/30.52  | | 
% 186.03/30.52  | | Case 1:
% 186.03/30.52  | | | 
% 186.03/30.52  | | |   (24)  all_56_4 = e2 & op(e3, e1) = e2
% 186.03/30.52  | | | 
% 186.03/30.52  | | | ALPHA: (24) implies:
% 186.03/30.52  | | |   (25)  all_56_4 = e2
% 186.03/30.52  | | | 
% 186.03/30.52  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 186.03/30.52  | | |            (13), (14), (15), (25) are inconsistent by sub-proof #1373.
% 186.03/30.52  | | | 
% 186.03/30.52  | | Case 2:
% 186.03/30.52  | | | 
% 186.03/30.53  | | |   (26)  all_56_9 = e2 & op(e3, e0) = e2
% 186.03/30.53  | | | 
% 186.03/30.53  | | | ALPHA: (26) implies:
% 186.03/30.53  | | |   (27)  all_56_9 = e2
% 186.03/30.53  | | | 
% 186.03/30.53  | | | REF_CLOSE: (14), (15), (27) are inconsistent by sub-proof #1503.
% 186.03/30.53  | | | 
% 186.03/30.53  | | End of split
% 186.03/30.53  | | 
% 186.03/30.53  | End of split
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1104 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)   ~ (all_4_2 = e0)
% 186.03/30.53    (2)   ~ (e2 = e0)
% 186.03/30.53    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 186.03/30.53    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.53    (5)  op(e3, e3) = all_4_2
% 186.03/30.53    (6)  all_56_1 = e2
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | BETA: splitting (3) gives:
% 186.03/30.53  | 
% 186.03/30.53  | Case 1:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 186.03/30.53  | | 
% 186.03/30.53  | | ALPHA: (7) implies:
% 186.03/30.53  | |   (8)  op(e3, e3) = e0
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1624.
% 186.03/30.53  | | 
% 186.03/30.53  | Case 2:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (9)  all_56_1 = e0 & op(e3, e2) = e0
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (2), (6), (9) are inconsistent by sub-proof #1105.
% 186.03/30.53  | | 
% 186.03/30.53  | End of split
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1105 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)  all_56_1 = e0 & op(e3, e2) = e0
% 186.03/30.53    (2)  all_56_1 = e2
% 186.03/30.53    (3)   ~ (e2 = e0)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | ALPHA: (1) implies:
% 186.03/30.53  |   (4)  all_56_1 = e0
% 186.03/30.53  | 
% 186.03/30.53  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.53  |   (5)  e2 = e0
% 186.03/30.53  | 
% 186.03/30.53  | REDUCE: (3), (5) imply:
% 186.03/30.53  |   (6)  $false
% 186.03/30.53  | 
% 186.03/30.53  | CLOSE: (6) is inconsistent.
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1106 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)  all_56_12 = e1 & op(e0, e3) = e1
% 186.03/30.53    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.53    (3)  op(e0, e3) = all_52_3
% 186.03/30.53    (4)   ~ (all_52_3 = e1)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | ALPHA: (1) implies:
% 186.03/30.53  |   (5)  op(e0, e3) = e1
% 186.03/30.53  | 
% 186.03/30.53  | GROUND_INST: instantiating (2) with all_52_3, e1, e3, e0, simplifying with
% 186.03/30.53  |              (3), (5) gives:
% 186.03/30.53  |   (6)  all_52_3 = e1
% 186.03/30.53  | 
% 186.03/30.53  | REDUCE: (4), (6) imply:
% 186.03/30.53  |   (7)  $false
% 186.03/30.53  | 
% 186.03/30.53  | CLOSE: (7) is inconsistent.
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1107 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)  op(e0, e0) = all_6_2
% 186.03/30.53    (2)   ~ (all_6_2 = e1)
% 186.03/30.53    (3)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.03/30.53    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.53    (5)  all_56_11 = e2
% 186.03/30.53    (6)   ~ (e2 = e1)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | BETA: splitting (3) gives:
% 186.03/30.53  | 
% 186.03/30.53  | Case 1:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (7)  all_56_11 = e1 & op(e1, e0) = e1
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (5), (6), (7) are inconsistent by sub-proof #1108.
% 186.03/30.53  | | 
% 186.03/30.53  | Case 2:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (8)  all_56_15 = e1 & op(e0, e0) = e1
% 186.03/30.53  | | 
% 186.03/30.53  | | ALPHA: (8) implies:
% 186.03/30.53  | |   (9)  op(e0, e0) = e1
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #1516.
% 186.03/30.53  | | 
% 186.03/30.53  | End of split
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1108 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)  all_56_11 = e1 & op(e1, e0) = e1
% 186.03/30.53    (2)  all_56_11 = e2
% 186.03/30.53    (3)   ~ (e2 = e1)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | ALPHA: (1) implies:
% 186.03/30.53  |   (4)  all_56_11 = e1
% 186.03/30.53  | 
% 186.03/30.53  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.53  |   (5)  e2 = e1
% 186.03/30.53  | 
% 186.03/30.53  | REDUCE: (3), (5) imply:
% 186.03/30.53  |   (6)  $false
% 186.03/30.53  | 
% 186.03/30.53  | CLOSE: (6) is inconsistent.
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1109 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)   ~ (e1 = e0)
% 186.03/30.53    (2)   ~ (e3 = e0)
% 186.03/30.53    (3)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.03/30.53         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.53    (4)   ~ (all_52_6 = e0)
% 186.03/30.53    (5)   ~ (e2 = e0)
% 186.03/30.53    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.53    (7)  all_56_11 = e2
% 186.03/30.53    (8)  op(e1, e3) = e3
% 186.03/30.53    (9)  op(e1, e2) = all_52_6
% 186.03/30.53    (10)  op(e1, e1) = e1
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | BETA: splitting (3) gives:
% 186.03/30.53  | 
% 186.03/30.53  | Case 1:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (11)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 186.03/30.53  | |           e0)
% 186.03/30.53  | | 
% 186.03/30.53  | | BETA: splitting (11) gives:
% 186.03/30.53  | | 
% 186.03/30.53  | | Case 1:
% 186.03/30.53  | | | 
% 186.03/30.53  | | |   (12)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.53  | | | 
% 186.03/30.53  | | | ALPHA: (12) implies:
% 186.03/30.53  | | |   (13)  op(e1, e3) = e0
% 186.03/30.53  | | | 
% 186.03/30.53  | | | REF_CLOSE: (2), (6), (8), (13) are inconsistent by sub-proof #1536.
% 186.03/30.53  | | | 
% 186.03/30.53  | | Case 2:
% 186.03/30.53  | | | 
% 186.03/30.53  | | |   (14)  all_56_7 = e0 & op(e1, e2) = e0
% 186.03/30.53  | | | 
% 186.03/30.53  | | | REF_CLOSE: (4), (6), (9), (14) are inconsistent by sub-proof #1199.
% 186.03/30.53  | | | 
% 186.03/30.53  | | End of split
% 186.03/30.53  | | 
% 186.03/30.53  | Case 2:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (15)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 186.03/30.53  | |           e0)
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (1), (5), (6), (7), (10), (15) are inconsistent by sub-proof
% 186.03/30.53  | |            #1422.
% 186.03/30.53  | | 
% 186.03/30.53  | End of split
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1110 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)  op(e0, e0) = all_6_2
% 186.03/30.53    (2)   ~ (all_6_2 = e1)
% 186.03/30.53    (3)  all_56_11 = e3
% 186.03/30.53    (4)   ~ (e3 = e1)
% 186.03/30.53    (5)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.03/30.53    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | BETA: splitting (5) gives:
% 186.03/30.53  | 
% 186.03/30.53  | Case 1:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (7)  all_56_11 = e1 & op(e1, e0) = e1
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #1111.
% 186.03/30.53  | | 
% 186.03/30.53  | Case 2:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (8)  all_56_15 = e1 & op(e0, e0) = e1
% 186.03/30.53  | | 
% 186.03/30.53  | | ALPHA: (8) implies:
% 186.03/30.53  | |   (9)  op(e0, e0) = e1
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (1), (2), (6), (9) are inconsistent by sub-proof #1516.
% 186.03/30.53  | | 
% 186.03/30.53  | End of split
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1111 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)  all_56_11 = e1 & op(e1, e0) = e1
% 186.03/30.53    (2)  all_56_11 = e3
% 186.03/30.53    (3)   ~ (e3 = e1)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | ALPHA: (1) implies:
% 186.03/30.53  |   (4)  all_56_11 = e1
% 186.03/30.53  | 
% 186.03/30.53  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.53  |   (5)  e3 = e1
% 186.03/30.53  | 
% 186.03/30.53  | REDUCE: (3), (5) imply:
% 186.03/30.53  |   (6)  $false
% 186.03/30.53  | 
% 186.03/30.53  | CLOSE: (6) is inconsistent.
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1112 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)   ~ (all_52_14 = e0)
% 186.03/30.53    (2)   ~ (all_52_14 = e1)
% 186.03/30.53    (3)   ~ (all_52_14 = e2)
% 186.03/30.53    (4)  all_54_11 = all_52_14
% 186.03/30.53    (5)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | BETA: splitting (5) gives:
% 186.03/30.53  | 
% 186.03/30.53  | Case 1:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (6)  all_54_11 = e2
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #1115.
% 186.03/30.53  | | 
% 186.03/30.53  | Case 2:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (7)  all_54_11 = e1 | all_54_11 = e0
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #1113.
% 186.03/30.53  | | 
% 186.03/30.53  | End of split
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1113 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)  all_54_11 = e1 | all_54_11 = e0
% 186.03/30.53    (2)  all_54_11 = all_52_14
% 186.03/30.53    (3)   ~ (all_52_14 = e1)
% 186.03/30.53    (4)   ~ (all_52_14 = e0)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | BETA: splitting (1) gives:
% 186.03/30.53  | 
% 186.03/30.53  | Case 1:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (5)  all_54_11 = e1
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #1114.
% 186.03/30.53  | | 
% 186.03/30.53  | Case 2:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (6)  all_54_11 = e0
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1329.
% 186.03/30.53  | | 
% 186.03/30.53  | End of split
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1114 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)  all_54_11 = all_52_14
% 186.03/30.53    (2)  all_54_11 = e1
% 186.03/30.53    (3)   ~ (all_52_14 = e1)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.53  |   (4)  all_52_14 = e1
% 186.03/30.53  | 
% 186.03/30.53  | SIMP: (4) implies:
% 186.03/30.53  |   (5)  all_52_14 = e1
% 186.03/30.53  | 
% 186.03/30.53  | REDUCE: (3), (5) imply:
% 186.03/30.53  |   (6)  $false
% 186.03/30.53  | 
% 186.03/30.53  | CLOSE: (6) is inconsistent.
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1115 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)  all_54_11 = all_52_14
% 186.03/30.53    (2)  all_54_11 = e2
% 186.03/30.53    (3)   ~ (all_52_14 = e2)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.53  |   (4)  all_52_14 = e2
% 186.03/30.53  | 
% 186.03/30.53  | SIMP: (4) implies:
% 186.03/30.53  |   (5)  all_52_14 = e2
% 186.03/30.53  | 
% 186.03/30.53  | REDUCE: (3), (5) imply:
% 186.03/30.53  |   (6)  $false
% 186.03/30.53  | 
% 186.03/30.53  | CLOSE: (6) is inconsistent.
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1116 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)   ~ (all_52_7 = e1)
% 186.03/30.53    (2)  all_54_13 = all_52_7
% 186.03/30.53    (3)   ~ (all_52_7 = e0)
% 186.03/30.53    (4)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 186.03/30.53    (5)   ~ (all_52_7 = e2)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | BETA: splitting (4) gives:
% 186.03/30.53  | 
% 186.03/30.53  | Case 1:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (6)  all_54_13 = e2
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #1185.
% 186.03/30.53  | | 
% 186.03/30.53  | Case 2:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (7)  all_54_13 = e1 | all_54_13 = e0
% 186.03/30.53  | | 
% 186.03/30.53  | | BETA: splitting (7) gives:
% 186.03/30.53  | | 
% 186.03/30.53  | | Case 1:
% 186.03/30.53  | | | 
% 186.03/30.53  | | |   (8)  all_54_13 = e1
% 186.03/30.53  | | | 
% 186.03/30.53  | | | REF_CLOSE: (1), (2), (8) are inconsistent by sub-proof #1313.
% 186.03/30.53  | | | 
% 186.03/30.53  | | Case 2:
% 186.03/30.53  | | | 
% 186.03/30.53  | | |   (9)  all_54_13 = e0
% 186.03/30.53  | | | 
% 186.03/30.53  | | | REF_CLOSE: (2), (3), (9) are inconsistent by sub-proof #1312.
% 186.03/30.53  | | | 
% 186.03/30.53  | | End of split
% 186.03/30.53  | | 
% 186.03/30.53  | End of split
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1117 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)  op(e0, e0) = all_6_2
% 186.03/30.53    (2)   ~ (all_6_2 = e2)
% 186.03/30.53    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.53    (4)  all_56_14 = e1
% 186.03/30.53    (5)   ~ (e2 = e1)
% 186.03/30.53    (6)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | BETA: splitting (6) gives:
% 186.03/30.53  | 
% 186.03/30.53  | Case 1:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (7)  all_56_14 = e2 & op(e0, e1) = e2
% 186.03/30.53  | | 
% 186.03/30.53  | | ALPHA: (7) implies:
% 186.03/30.53  | |   (8)  all_56_14 = e2
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (4), (5), (8) are inconsistent by sub-proof #1118.
% 186.03/30.53  | | 
% 186.03/30.53  | Case 2:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (9)  all_56_15 = e2 & op(e0, e0) = e2
% 186.03/30.53  | | 
% 186.03/30.53  | | ALPHA: (9) implies:
% 186.03/30.53  | |   (10)  op(e0, e0) = e2
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #1511.
% 186.03/30.53  | | 
% 186.03/30.53  | End of split
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1118 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)  all_56_14 = e2
% 186.03/30.53    (2)  all_56_14 = e1
% 186.03/30.53    (3)   ~ (e2 = e1)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.53  |   (4)  e2 = e1
% 186.03/30.53  | 
% 186.03/30.53  | SIMP: (4) implies:
% 186.03/30.53  |   (5)  e2 = e1
% 186.03/30.53  | 
% 186.03/30.53  | REDUCE: (3), (5) imply:
% 186.03/30.53  |   (6)  $false
% 186.03/30.53  | 
% 186.03/30.53  | CLOSE: (6) is inconsistent.
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1119 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)  op(e0, e0) = all_6_2
% 186.03/30.53    (2)   ~ (all_6_2 = e1)
% 186.03/30.53    (3)   ~ (e1 = e0)
% 186.03/30.53    (4)   ~ (e3 = e0)
% 186.03/30.53    (5)   ~ (e2 = e0)
% 186.03/30.53    (6)   ~ (e3 = e1)
% 186.03/30.53    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.53    (8)  all_56_12 = e2
% 186.03/30.53    (9)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 186.03/30.53         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.03/30.53    (10)   ~ (e3 = e2)
% 186.03/30.53    (11)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.03/30.53          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.03/30.53            e3)
% 186.03/30.53    (12)   ~ (e2 = e1)
% 186.03/30.53    (13)  all_56_13 = e2
% 186.03/30.53    (14)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.53              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.53                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.03/30.53                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | BETA: splitting (9) gives:
% 186.03/30.53  | 
% 186.03/30.53  | Case 1:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (15)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 186.03/30.53  | |           e1)
% 186.03/30.53  | | 
% 186.03/30.53  | | BETA: splitting (15) gives:
% 186.03/30.53  | | 
% 186.03/30.53  | | Case 1:
% 186.03/30.53  | | | 
% 186.03/30.53  | | |   (16)  all_56_12 = e1 & op(e0, e3) = e1
% 186.03/30.53  | | | 
% 186.03/30.53  | | | REF_CLOSE: (8), (12), (16) are inconsistent by sub-proof #1550.
% 186.03/30.53  | | | 
% 186.03/30.53  | | Case 2:
% 186.03/30.53  | | | 
% 186.03/30.53  | | |   (17)  all_56_13 = e1 & op(e0, e2) = e1
% 186.03/30.53  | | | 
% 186.03/30.53  | | | REF_CLOSE: (12), (13), (17) are inconsistent by sub-proof #1122.
% 186.03/30.53  | | | 
% 186.03/30.53  | | End of split
% 186.03/30.53  | | 
% 186.03/30.53  | Case 2:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (18)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.53  | |           e1)
% 186.03/30.53  | | 
% 186.03/30.53  | | BETA: splitting (18) gives:
% 186.03/30.53  | | 
% 186.03/30.53  | | Case 1:
% 186.03/30.53  | | | 
% 186.03/30.53  | | |   (19)  all_56_14 = e1 & op(e0, e1) = e1
% 186.03/30.53  | | | 
% 186.03/30.53  | | | ALPHA: (19) implies:
% 186.03/30.53  | | |   (20)  all_56_14 = e1
% 186.03/30.53  | | |   (21)  op(e0, e1) = e1
% 186.03/30.53  | | | 
% 186.03/30.53  | | | BETA: splitting (11) gives:
% 186.03/30.53  | | | 
% 186.03/30.53  | | | Case 1:
% 186.03/30.53  | | | | 
% 186.03/30.53  | | | |   (22)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0,
% 186.03/30.53  | | | |             e2) = e3)
% 186.03/30.53  | | | | 
% 186.03/30.53  | | | | BETA: splitting (22) gives:
% 186.03/30.53  | | | | 
% 186.03/30.53  | | | | Case 1:
% 186.03/30.53  | | | | | 
% 186.03/30.53  | | | | |   (23)  all_56_12 = e3 & op(e0, e3) = e3
% 186.03/30.53  | | | | | 
% 186.03/30.53  | | | | | ALPHA: (23) implies:
% 186.03/30.53  | | | | |   (24)  all_56_12 = e3
% 186.03/30.53  | | | | | 
% 186.03/30.53  | | | | | REF_CLOSE: (8), (10), (24) are inconsistent by sub-proof #1555.
% 186.03/30.53  | | | | | 
% 186.03/30.53  | | | | Case 2:
% 186.03/30.53  | | | | | 
% 186.03/30.53  | | | | |   (25)  all_56_13 = e3 & op(e0, e2) = e3
% 186.03/30.53  | | | | | 
% 186.03/30.53  | | | | | ALPHA: (25) implies:
% 186.03/30.53  | | | | |   (26)  all_56_13 = e3
% 186.03/30.53  | | | | | 
% 186.03/30.53  | | | | | REF_CLOSE: (10), (13), (26) are inconsistent by sub-proof #1121.
% 186.03/30.53  | | | | | 
% 186.03/30.53  | | | | End of split
% 186.03/30.53  | | | | 
% 186.03/30.53  | | | Case 2:
% 186.03/30.53  | | | | 
% 186.03/30.53  | | | |   (27)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 186.03/30.53  | | | |             e0) = e3)
% 186.03/30.53  | | | | 
% 186.03/30.53  | | | | BETA: splitting (27) gives:
% 186.03/30.53  | | | | 
% 186.03/30.53  | | | | Case 1:
% 186.03/30.53  | | | | | 
% 186.03/30.53  | | | | |   (28)  all_56_14 = e3 & op(e0, e1) = e3
% 186.03/30.53  | | | | | 
% 186.03/30.53  | | | | | ALPHA: (28) implies:
% 186.03/30.53  | | | | |   (29)  all_56_14 = e3
% 186.03/30.53  | | | | | 
% 186.03/30.53  | | | | | REF_CLOSE: (6), (20), (29) are inconsistent by sub-proof #1508.
% 186.03/30.53  | | | | | 
% 186.03/30.53  | | | | Case 2:
% 186.03/30.53  | | | | | 
% 186.03/30.53  | | | | |   (30)  all_56_15 = e3 & op(e0, e0) = e3
% 186.03/30.53  | | | | | 
% 186.03/30.53  | | | | | ALPHA: (30) implies:
% 186.03/30.53  | | | | |   (31)  op(e0, e0) = e3
% 186.03/30.53  | | | | | 
% 186.03/30.53  | | | | | BETA: splitting (14) gives:
% 186.03/30.53  | | | | | 
% 186.03/30.53  | | | | | Case 1:
% 186.03/30.53  | | | | | | 
% 186.03/30.53  | | | | | |   (32)  all_56_15 = e0 & op(e0, e0) = e0
% 186.03/30.53  | | | | | | 
% 186.03/30.53  | | | | | | ALPHA: (32) implies:
% 186.03/30.53  | | | | | |   (33)  op(e0, e0) = e0
% 186.03/30.53  | | | | | | 
% 186.03/30.53  | | | | | | REF_CLOSE: (4), (7), (31), (33) are inconsistent by sub-proof #1540.
% 186.03/30.53  | | | | | | 
% 186.03/30.53  | | | | | Case 2:
% 186.03/30.53  | | | | | | 
% 186.03/30.53  | | | | | |   (34)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 &
% 186.03/30.53  | | | | | |             op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 186.03/30.53  | | | | | |         ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.03/30.53  | | | | | |             op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 186.03/30.53  | | | | | | 
% 186.03/30.53  | | | | | | ALPHA: (34) implies:
% 186.03/30.53  | | | | | |   (35)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.03/30.53  | | | | | |           op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.03/30.53  | | | | | | 
% 186.03/30.53  | | | | | | BETA: splitting (35) gives:
% 186.03/30.53  | | | | | | 
% 186.03/30.53  | | | | | | Case 1:
% 186.03/30.53  | | | | | | | 
% 186.03/30.53  | | | | | | |   (36)  all_56_12 = e0 & op(e0, e3) = e0
% 186.03/30.53  | | | | | | | 
% 186.03/30.53  | | | | | | | REF_CLOSE: (5), (8), (36) are inconsistent by sub-proof #1553.
% 186.03/30.53  | | | | | | | 
% 186.03/30.53  | | | | | | Case 2:
% 186.03/30.53  | | | | | | | 
% 186.03/30.53  | | | | | | |   (37)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 &
% 186.03/30.53  | | | | | | |           op(e0, e1) = e0)
% 186.03/30.53  | | | | | | | 
% 186.03/30.53  | | | | | | | REF_CLOSE: (3), (5), (7), (13), (21), (37) are inconsistent by
% 186.03/30.53  | | | | | | |            sub-proof #1120.
% 186.03/30.53  | | | | | | | 
% 186.03/30.53  | | | | | | End of split
% 186.03/30.53  | | | | | | 
% 186.03/30.53  | | | | | End of split
% 186.03/30.53  | | | | | 
% 186.03/30.53  | | | | End of split
% 186.03/30.53  | | | | 
% 186.03/30.53  | | | End of split
% 186.03/30.53  | | | 
% 186.03/30.53  | | Case 2:
% 186.03/30.53  | | | 
% 186.03/30.53  | | |   (38)  all_56_15 = e1 & op(e0, e0) = e1
% 186.03/30.53  | | | 
% 186.03/30.53  | | | ALPHA: (38) implies:
% 186.03/30.53  | | |   (39)  op(e0, e0) = e1
% 186.03/30.53  | | | 
% 186.03/30.53  | | | REF_CLOSE: (1), (2), (7), (39) are inconsistent by sub-proof #1516.
% 186.03/30.53  | | | 
% 186.03/30.53  | | End of split
% 186.03/30.53  | | 
% 186.03/30.53  | End of split
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1120 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)   ~ (e1 = e0)
% 186.03/30.53    (2)   ~ (e2 = e0)
% 186.03/30.53    (3)  op(e0, e1) = e1
% 186.03/30.53    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.53    (5)  all_56_13 = e2
% 186.03/30.53    (6)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | BETA: splitting (6) gives:
% 186.03/30.53  | 
% 186.03/30.53  | Case 1:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (7)  all_56_13 = e0 & op(e0, e2) = e0
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #1154.
% 186.03/30.53  | | 
% 186.03/30.53  | Case 2:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (8)  all_56_14 = e0 & op(e0, e1) = e0
% 186.03/30.53  | | 
% 186.03/30.53  | | ALPHA: (8) implies:
% 186.03/30.53  | |   (9)  op(e0, e1) = e0
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (1), (3), (4), (9) are inconsistent by sub-proof #1171.
% 186.03/30.53  | | 
% 186.03/30.53  | End of split
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1121 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)  all_56_13 = e3
% 186.03/30.53    (2)  all_56_13 = e2
% 186.03/30.53    (3)   ~ (e3 = e2)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.53  |   (4)  e3 = e2
% 186.03/30.53  | 
% 186.03/30.53  | SIMP: (4) implies:
% 186.03/30.53  |   (5)  e3 = e2
% 186.03/30.53  | 
% 186.03/30.53  | REDUCE: (3), (5) imply:
% 186.03/30.53  |   (6)  $false
% 186.03/30.53  | 
% 186.03/30.53  | CLOSE: (6) is inconsistent.
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1122 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)  all_56_13 = e1 & op(e0, e2) = e1
% 186.03/30.53    (2)  all_56_13 = e2
% 186.03/30.53    (3)   ~ (e2 = e1)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | ALPHA: (1) implies:
% 186.03/30.53  |   (4)  all_56_13 = e1
% 186.03/30.53  | 
% 186.03/30.53  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.53  |   (5)  e2 = e1
% 186.03/30.53  | 
% 186.03/30.53  | REDUCE: (3), (5) imply:
% 186.03/30.53  |   (6)  $false
% 186.03/30.53  | 
% 186.03/30.53  | CLOSE: (6) is inconsistent.
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1123 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)   ~ (all_4_2 = e0)
% 186.03/30.53    (2)  op(e2, e3) = e3
% 186.03/30.53    (3)   ~ (e1 = e0)
% 186.03/30.53    (4)   ~ (e3 = e0)
% 186.03/30.53    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.03/30.53         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.03/30.53    (6)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.03/30.53         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.03/30.53    (7)   ~ (e2 = e0)
% 186.03/30.53    (8)   ~ (e3 = e1)
% 186.03/30.53    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.53    (10)  all_56_12 = e2
% 186.03/30.53    (11)   ~ (e3 = e2)
% 186.03/30.53    (12)  all_56_2 = e3
% 186.03/30.53    (13)  op(e3, e3) = all_4_2
% 186.03/30.53    (14)  op(e3, e3) = e3
% 186.03/30.53    (15)   ~ (e2 = e1)
% 186.03/30.53    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.53          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | BETA: splitting (6) gives:
% 186.03/30.53  | 
% 186.03/30.53  | Case 1:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 186.03/30.53  | |           e1)
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (8), (9), (12), (14), (17) are inconsistent by sub-proof #1598.
% 186.03/30.53  | | 
% 186.03/30.53  | Case 2:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (18)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 186.03/30.53  | |           e1)
% 186.03/30.53  | | 
% 186.03/30.53  | | BETA: splitting (18) gives:
% 186.03/30.53  | | 
% 186.03/30.53  | | Case 1:
% 186.03/30.53  | | | 
% 186.03/30.53  | | |   (19)  all_56_6 = e1 & op(e1, e3) = e1
% 186.03/30.53  | | | 
% 186.03/30.53  | | | ALPHA: (19) implies:
% 186.03/30.53  | | |   (20)  op(e1, e3) = e1
% 186.03/30.53  | | | 
% 186.03/30.53  | | | REF_CLOSE: (1), (2), (3), (4), (7), (9), (10), (13), (16), (20) are
% 186.03/30.53  | | |            inconsistent by sub-proof #1249.
% 186.03/30.53  | | | 
% 186.03/30.53  | | Case 2:
% 186.03/30.53  | | | 
% 186.03/30.53  | | |   (21)  all_56_12 = e1 & op(e0, e3) = e1
% 186.03/30.53  | | | 
% 186.03/30.53  | | | ALPHA: (21) implies:
% 186.03/30.53  | | |   (22)  all_56_12 = e1
% 186.03/30.53  | | |   (23)  op(e0, e3) = e1
% 186.03/30.53  | | | 
% 186.03/30.53  | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (11), (12), (13), (14),
% 186.03/30.53  | | |            (15), (16), (22), (23) are inconsistent by sub-proof #1588.
% 186.03/30.53  | | | 
% 186.03/30.53  | | End of split
% 186.03/30.53  | | 
% 186.03/30.53  | End of split
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1124 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)   ~ (all_4_2 = e0)
% 186.03/30.53    (2)   ~ (e1 = e0)
% 186.03/30.53    (3)  all_56_4 = e2
% 186.03/30.53    (4)   ~ (e3 = e0)
% 186.03/30.53    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.03/30.53         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.53    (6)   ~ (e2 = e0)
% 186.03/30.53    (7)   ~ (e3 = e1)
% 186.03/30.53    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.53    (9)  all_56_1 = e3
% 186.03/30.53    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 186.03/30.53          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 186.03/30.53    (11)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.03/30.53          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.03/30.53    (12)   ~ (e3 = e2)
% 186.03/30.53    (13)  op(e3, e3) = all_4_2
% 186.03/30.53    (14)  op(e3, e3) = e3
% 186.03/30.53    (15)  all_56_9 = e1
% 186.03/30.53    (16)   ~ (e2 = e1)
% 186.03/30.53    (17)   ~ (all_4_2 = e1)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | BETA: splitting (5) gives:
% 186.03/30.53  | 
% 186.03/30.53  | Case 1:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (18)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 186.03/30.53  | |           e0)
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (1), (4), (8), (9), (13), (18) are inconsistent by sub-proof
% 186.03/30.53  | |            #1572.
% 186.03/30.53  | | 
% 186.03/30.53  | Case 2:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (19)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 186.03/30.53  | |           e0)
% 186.03/30.53  | | 
% 186.03/30.53  | | BETA: splitting (19) gives:
% 186.03/30.53  | | 
% 186.03/30.53  | | Case 1:
% 186.03/30.53  | | | 
% 186.03/30.53  | | |   (20)  all_56_4 = e0 & op(e3, e1) = e0
% 186.03/30.53  | | | 
% 186.03/30.53  | | | ALPHA: (20) implies:
% 186.03/30.53  | | |   (21)  all_56_4 = e0
% 186.03/30.53  | | | 
% 186.03/30.53  | | | REF_CLOSE: (6), (8), (9), (11), (12), (14), (15), (16), (21) are
% 186.03/30.53  | | |            inconsistent by sub-proof #1128.
% 186.03/30.53  | | | 
% 186.03/30.53  | | Case 2:
% 186.03/30.53  | | | 
% 186.03/30.53  | | |   (22)  all_56_9 = e0 & op(e3, e0) = e0
% 186.03/30.53  | | | 
% 186.03/30.53  | | | ALPHA: (22) implies:
% 186.03/30.53  | | |   (23)  all_56_9 = e0
% 186.03/30.53  | | | 
% 186.03/30.53  | | | REF_CLOSE: (2), (3), (7), (8), (9), (10), (13), (16), (17), (23) are
% 186.03/30.53  | | |            inconsistent by sub-proof #1125.
% 186.03/30.53  | | | 
% 186.03/30.53  | | End of split
% 186.03/30.53  | | 
% 186.03/30.53  | End of split
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1125 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)   ~ (e1 = e0)
% 186.03/30.53    (2)  all_56_4 = e2
% 186.03/30.53    (3)   ~ (e3 = e1)
% 186.03/30.53    (4)  all_56_9 = e0
% 186.03/30.53    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.53    (6)  all_56_1 = e3
% 186.03/30.53    (7)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 186.03/30.53         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 186.03/30.53    (8)  op(e3, e3) = all_4_2
% 186.03/30.53    (9)   ~ (e2 = e1)
% 186.03/30.53    (10)   ~ (all_4_2 = e1)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | BETA: splitting (7) gives:
% 186.03/30.53  | 
% 186.03/30.53  | Case 1:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) =
% 186.03/30.53  | |           e1)
% 186.03/30.53  | | 
% 186.03/30.53  | | BETA: splitting (11) gives:
% 186.03/30.53  | | 
% 186.03/30.53  | | Case 1:
% 186.03/30.53  | | | 
% 186.03/30.53  | | |   (12)  all_56_0 = e1 & op(e3, e3) = e1
% 186.03/30.53  | | | 
% 186.03/30.53  | | | ALPHA: (12) implies:
% 186.03/30.53  | | |   (13)  op(e3, e3) = e1
% 186.03/30.53  | | | 
% 186.03/30.53  | | | REF_CLOSE: (5), (8), (10), (13) are inconsistent by sub-proof #1525.
% 186.03/30.53  | | | 
% 186.03/30.53  | | Case 2:
% 186.03/30.53  | | | 
% 186.03/30.53  | | |   (14)  all_56_1 = e1 & op(e3, e2) = e1
% 186.03/30.53  | | | 
% 186.03/30.53  | | | ALPHA: (14) implies:
% 186.03/30.53  | | |   (15)  all_56_1 = e1
% 186.03/30.53  | | | 
% 186.03/30.53  | | | REF_CLOSE: (3), (6), (15) are inconsistent by sub-proof #1403.
% 186.03/30.53  | | | 
% 186.03/30.53  | | End of split
% 186.03/30.53  | | 
% 186.03/30.53  | Case 2:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (16)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 186.03/30.53  | |           e1)
% 186.03/30.53  | | 
% 186.03/30.53  | | BETA: splitting (16) gives:
% 186.03/30.53  | | 
% 186.03/30.53  | | Case 1:
% 186.03/30.53  | | | 
% 186.03/30.53  | | |   (17)  all_56_4 = e1 & op(e3, e1) = e1
% 186.03/30.53  | | | 
% 186.03/30.53  | | | REF_CLOSE: (2), (9), (17) are inconsistent by sub-proof #1127.
% 186.03/30.53  | | | 
% 186.03/30.53  | | Case 2:
% 186.03/30.53  | | | 
% 186.03/30.53  | | |   (18)  all_56_9 = e1 & op(e3, e0) = e1
% 186.03/30.53  | | | 
% 186.03/30.53  | | | REF_CLOSE: (1), (4), (18) are inconsistent by sub-proof #1126.
% 186.03/30.53  | | | 
% 186.03/30.53  | | End of split
% 186.03/30.53  | | 
% 186.03/30.53  | End of split
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1126 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)  all_56_9 = e1 & op(e3, e0) = e1
% 186.03/30.53    (2)  all_56_9 = e0
% 186.03/30.53    (3)   ~ (e1 = e0)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | ALPHA: (1) implies:
% 186.03/30.53  |   (4)  all_56_9 = e1
% 186.03/30.53  | 
% 186.03/30.53  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.53  |   (5)  e1 = e0
% 186.03/30.53  | 
% 186.03/30.53  | REDUCE: (3), (5) imply:
% 186.03/30.53  |   (6)  $false
% 186.03/30.53  | 
% 186.03/30.53  | CLOSE: (6) is inconsistent.
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1127 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)  all_56_4 = e1 & op(e3, e1) = e1
% 186.03/30.53    (2)  all_56_4 = e2
% 186.03/30.53    (3)   ~ (e2 = e1)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | ALPHA: (1) implies:
% 186.03/30.53  |   (4)  all_56_4 = e1
% 186.03/30.53  | 
% 186.03/30.53  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.53  |   (5)  e2 = e1
% 186.03/30.53  | 
% 186.03/30.53  | REDUCE: (3), (5) imply:
% 186.03/30.53  |   (6)  $false
% 186.03/30.53  | 
% 186.03/30.53  | CLOSE: (6) is inconsistent.
% 186.03/30.53  | 
% 186.03/30.53  End of proof
% 186.03/30.53  
% 186.03/30.53  Sub-proof #1128 shows that the following formulas are inconsistent:
% 186.03/30.53  ----------------------------------------------------------------
% 186.03/30.53    (1)   ~ (e2 = e0)
% 186.03/30.53    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.53           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.53    (3)  all_56_1 = e3
% 186.03/30.53    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.03/30.53         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.03/30.53    (5)   ~ (e3 = e2)
% 186.03/30.53    (6)  all_56_4 = e0
% 186.03/30.53    (7)  op(e3, e3) = e3
% 186.03/30.53    (8)  all_56_9 = e1
% 186.03/30.53    (9)   ~ (e2 = e1)
% 186.03/30.53  
% 186.03/30.53  Begin of proof
% 186.03/30.53  | 
% 186.03/30.53  | BETA: splitting (4) gives:
% 186.03/30.53  | 
% 186.03/30.53  | Case 1:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 186.03/30.53  | |           e2)
% 186.03/30.53  | | 
% 186.03/30.53  | | REF_CLOSE: (2), (3), (5), (7), (10) are inconsistent by sub-proof #1130.
% 186.03/30.53  | | 
% 186.03/30.53  | Case 2:
% 186.03/30.53  | | 
% 186.03/30.53  | |   (11)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 186.03/30.53  | |           e2)
% 186.03/30.53  | | 
% 186.03/30.53  | | BETA: splitting (11) gives:
% 186.03/30.53  | | 
% 186.03/30.53  | | Case 1:
% 186.03/30.53  | | | 
% 186.03/30.54  | | |   (12)  all_56_4 = e2 & op(e3, e1) = e2
% 186.03/30.54  | | | 
% 186.03/30.54  | | | ALPHA: (12) implies:
% 186.03/30.54  | | |   (13)  all_56_4 = e2
% 186.03/30.54  | | | 
% 186.03/30.54  | | | REF_CLOSE: (1), (6), (13) are inconsistent by sub-proof #1394.
% 186.03/30.54  | | | 
% 186.03/30.54  | | Case 2:
% 186.03/30.54  | | | 
% 186.03/30.54  | | |   (14)  all_56_9 = e2 & op(e3, e0) = e2
% 186.03/30.54  | | | 
% 186.03/30.54  | | | REF_CLOSE: (8), (9), (14) are inconsistent by sub-proof #1129.
% 186.03/30.54  | | | 
% 186.03/30.54  | | End of split
% 186.03/30.54  | | 
% 186.03/30.54  | End of split
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1129 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)  all_56_9 = e2 & op(e3, e0) = e2
% 186.03/30.54    (2)  all_56_9 = e1
% 186.03/30.54    (3)   ~ (e2 = e1)
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | ALPHA: (1) implies:
% 186.03/30.54  |   (4)  all_56_9 = e2
% 186.03/30.54  | 
% 186.03/30.54  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.54  |   (5)  e2 = e1
% 186.03/30.54  | 
% 186.03/30.54  | REDUCE: (3), (5) imply:
% 186.03/30.54  |   (6)  $false
% 186.03/30.54  | 
% 186.03/30.54  | CLOSE: (6) is inconsistent.
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1130 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.54    (2)  all_56_1 = e3
% 186.03/30.54    (3)   ~ (e3 = e2)
% 186.03/30.54    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 186.03/30.54    (5)  op(e3, e3) = e3
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | BETA: splitting (4) gives:
% 186.03/30.54  | 
% 186.03/30.54  | Case 1:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (6)  all_56_0 = e2 & op(e3, e3) = e2
% 186.03/30.54  | | 
% 186.03/30.54  | | ALPHA: (6) implies:
% 186.03/30.54  | |   (7)  op(e3, e3) = e2
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (1), (3), (5), (7) are inconsistent by sub-proof #1594.
% 186.03/30.54  | | 
% 186.03/30.54  | Case 2:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (8)  all_56_1 = e2 & op(e3, e2) = e2
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (2), (3), (8) are inconsistent by sub-proof #1379.
% 186.03/30.54  | | 
% 186.03/30.54  | End of split
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1131 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.54    (2)   ~ (e3 = e2)
% 186.03/30.54    (3)   ~ (all_52_4 = e2)
% 186.03/30.54    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 186.03/30.54    (5)  op(e3, e2) = all_52_4
% 186.03/30.54    (6)  op(e3, e3) = e3
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | BETA: splitting (4) gives:
% 186.03/30.54  | 
% 186.03/30.54  | Case 1:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 186.03/30.54  | | 
% 186.03/30.54  | | ALPHA: (7) implies:
% 186.03/30.54  | |   (8)  op(e3, e3) = e2
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1594.
% 186.03/30.54  | | 
% 186.03/30.54  | Case 2:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (9)  all_56_1 = e2 & op(e3, e2) = e2
% 186.03/30.54  | | 
% 186.03/30.54  | | ALPHA: (9) implies:
% 186.03/30.54  | |   (10)  op(e3, e2) = e2
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1382.
% 186.03/30.54  | | 
% 186.03/30.54  | End of split
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1132 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)  op(e0, e0) = all_6_2
% 186.03/30.54    (2)   ~ (all_6_2 = e2)
% 186.03/30.54    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.54    (4)  all_56_14 = e1
% 186.03/30.54    (5)   ~ (e2 = e1)
% 186.03/30.54    (6)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | BETA: splitting (6) gives:
% 186.03/30.54  | 
% 186.03/30.54  | Case 1:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (7)  all_56_14 = e2 & op(e0, e1) = e2
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #1133.
% 186.03/30.54  | | 
% 186.03/30.54  | Case 2:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (8)  all_56_15 = e2 & op(e0, e0) = e2
% 186.03/30.54  | | 
% 186.03/30.54  | | ALPHA: (8) implies:
% 186.03/30.54  | |   (9)  op(e0, e0) = e2
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #1511.
% 186.03/30.54  | | 
% 186.03/30.54  | End of split
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1133 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)  all_56_14 = e2 & op(e0, e1) = e2
% 186.03/30.54    (2)  all_56_14 = e1
% 186.03/30.54    (3)   ~ (e2 = e1)
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | ALPHA: (1) implies:
% 186.03/30.54  |   (4)  all_56_14 = e2
% 186.03/30.54  | 
% 186.03/30.54  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.54  |   (5)  e2 = e1
% 186.03/30.54  | 
% 186.03/30.54  | REDUCE: (3), (5) imply:
% 186.03/30.54  |   (6)  $false
% 186.03/30.54  | 
% 186.03/30.54  | CLOSE: (6) is inconsistent.
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1134 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)  all_56_7 = e3 & op(e1, e2) = e3
% 186.03/30.54    (2)  all_56_7 = e2
% 186.03/30.54    (3)   ~ (e3 = e2)
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | ALPHA: (1) implies:
% 186.03/30.54  |   (4)  all_56_7 = e3
% 186.03/30.54  | 
% 186.03/30.54  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.54  |   (5)  e3 = e2
% 186.03/30.54  | 
% 186.03/30.54  | REDUCE: (3), (5) imply:
% 186.03/30.54  |   (6)  $false
% 186.03/30.54  | 
% 186.03/30.54  | CLOSE: (6) is inconsistent.
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1135 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)   ~ (all_52_4 = e3)
% 186.03/30.54    (2)   ~ (e3 = e1)
% 186.03/30.54    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.54    (4)  op(e2, e2) = e1
% 186.03/30.54    (5)  op(e3, e2) = all_52_4
% 186.03/30.54    (6)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | BETA: splitting (6) gives:
% 186.03/30.54  | 
% 186.03/30.54  | Case 1:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (7)  all_56_1 = e3 & op(e3, e2) = e3
% 186.03/30.54  | | 
% 186.03/30.54  | | ALPHA: (7) implies:
% 186.03/30.54  | |   (8)  op(e3, e2) = e3
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1603.
% 186.03/30.54  | | 
% 186.03/30.54  | Case 2:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (9)  all_56_3 = e3 & op(e2, e2) = e3
% 186.03/30.54  | | 
% 186.03/30.54  | | ALPHA: (9) implies:
% 186.03/30.54  | |   (10)  op(e2, e2) = e3
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1347.
% 186.03/30.54  | | 
% 186.03/30.54  | End of split
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1136 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 186.03/30.54    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.54    (3)  op(e2, e2) = e1
% 186.03/30.54    (4)   ~ (all_52_4 = e2)
% 186.03/30.54    (5)  op(e3, e2) = all_52_4
% 186.03/30.54    (6)   ~ (e2 = e1)
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | BETA: splitting (1) gives:
% 186.03/30.54  | 
% 186.03/30.54  | Case 1:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (7)  all_56_1 = e2 & op(e3, e2) = e2
% 186.03/30.54  | | 
% 186.03/30.54  | | ALPHA: (7) implies:
% 186.03/30.54  | |   (8)  op(e3, e2) = e2
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1382.
% 186.03/30.54  | | 
% 186.03/30.54  | Case 2:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (9)  all_56_3 = e2 & op(e2, e2) = e2
% 186.03/30.54  | | 
% 186.03/30.54  | | ALPHA: (9) implies:
% 186.03/30.54  | |   (10)  op(e2, e2) = e2
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1487.
% 186.03/30.54  | | 
% 186.03/30.54  | End of split
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1137 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)   ~ (all_52_8 = e3)
% 186.03/30.54    (2)   ~ (all_4_2 = e0)
% 186.03/30.54    (3)   ~ (e3 = e0)
% 186.03/30.54    (4)   ~ (e3 = e1)
% 186.03/30.54    (5)  op(e3, e3) = e2
% 186.03/30.54    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 186.03/30.54    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.54    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.03/30.54         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.54    (9)   ~ (e3 = e2)
% 186.03/30.54    (10)  op(e3, e1) = all_52_8
% 186.03/30.54    (11)  op(e3, e3) = all_4_2
% 186.03/30.54    (12)  all_56_9 = e1
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | BETA: splitting (6) gives:
% 186.03/30.54  | 
% 186.03/30.54  | Case 1:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (13)  all_56_0 = e0 & op(e3, e3) = e0
% 186.03/30.54  | | 
% 186.03/30.54  | | ALPHA: (13) implies:
% 186.03/30.54  | |   (14)  op(e3, e3) = e0
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (2), (7), (11), (14) are inconsistent by sub-proof #1624.
% 186.03/30.54  | | 
% 186.03/30.54  | Case 2:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (15)  all_56_1 = e0 & op(e3, e2) = e0
% 186.03/30.54  | | 
% 186.03/30.54  | | ALPHA: (15) implies:
% 186.03/30.54  | |   (16)  all_56_1 = e0
% 186.03/30.54  | | 
% 186.03/30.54  | | BETA: splitting (8) gives:
% 186.03/30.54  | | 
% 186.03/30.54  | | Case 1:
% 186.03/30.54  | | | 
% 186.03/30.54  | | |   (17)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 186.03/30.54  | | |           e3)
% 186.03/30.54  | | | 
% 186.03/30.54  | | | BETA: splitting (17) gives:
% 186.03/30.54  | | | 
% 186.03/30.54  | | | Case 1:
% 186.03/30.54  | | | | 
% 186.03/30.54  | | | |   (18)  all_56_0 = e3 & op(e3, e3) = e3
% 186.03/30.54  | | | | 
% 186.03/30.54  | | | | ALPHA: (18) implies:
% 186.03/30.54  | | | |   (19)  op(e3, e3) = e3
% 186.03/30.54  | | | | 
% 186.03/30.54  | | | | REF_CLOSE: (5), (7), (9), (19) are inconsistent by sub-proof #1594.
% 186.03/30.54  | | | | 
% 186.03/30.54  | | | Case 2:
% 186.03/30.54  | | | | 
% 186.03/30.54  | | | |   (20)  all_56_1 = e3 & op(e3, e2) = e3
% 186.03/30.54  | | | | 
% 186.03/30.54  | | | | REF_CLOSE: (3), (16), (20) are inconsistent by sub-proof #1138.
% 186.03/30.54  | | | | 
% 186.03/30.54  | | | End of split
% 186.03/30.54  | | | 
% 186.03/30.54  | | Case 2:
% 186.03/30.54  | | | 
% 186.03/30.54  | | |   (21)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 186.03/30.54  | | |           e3)
% 186.03/30.54  | | | 
% 186.03/30.54  | | | BETA: splitting (21) gives:
% 186.03/30.54  | | | 
% 186.03/30.54  | | | Case 1:
% 186.03/30.54  | | | | 
% 186.03/30.54  | | | |   (22)  all_56_4 = e3 & op(e3, e1) = e3
% 186.03/30.54  | | | | 
% 186.03/30.54  | | | | ALPHA: (22) implies:
% 186.03/30.54  | | | |   (23)  op(e3, e1) = e3
% 186.03/30.54  | | | | 
% 186.03/30.54  | | | | REF_CLOSE: (1), (7), (10), (23) are inconsistent by sub-proof #1346.
% 186.03/30.54  | | | | 
% 186.03/30.54  | | | Case 2:
% 186.03/30.54  | | | | 
% 186.03/30.54  | | | |   (24)  all_56_9 = e3 & op(e3, e0) = e3
% 186.03/30.54  | | | | 
% 186.03/30.54  | | | | REF_CLOSE: (4), (12), (24) are inconsistent by sub-proof #1380.
% 186.03/30.54  | | | | 
% 186.03/30.54  | | | End of split
% 186.03/30.54  | | | 
% 186.03/30.54  | | End of split
% 186.03/30.54  | | 
% 186.03/30.54  | End of split
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1138 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)  all_56_1 = e3 & op(e3, e2) = e3
% 186.03/30.54    (2)  all_56_1 = e0
% 186.03/30.54    (3)   ~ (e3 = e0)
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | ALPHA: (1) implies:
% 186.03/30.54  |   (4)  all_56_1 = e3
% 186.03/30.54  | 
% 186.03/30.54  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.54  |   (5)  e3 = e0
% 186.03/30.54  | 
% 186.03/30.54  | REDUCE: (3), (5) imply:
% 186.03/30.54  |   (6)  $false
% 186.03/30.54  | 
% 186.03/30.54  | CLOSE: (6) is inconsistent.
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1139 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)  op(e0, e0) = all_6_2
% 186.03/30.54    (2)   ~ (all_6_2 = e1)
% 186.03/30.54    (3)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.03/30.54    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.54    (5)  all_56_11 = e2
% 186.03/30.54    (6)   ~ (e2 = e1)
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | BETA: splitting (3) gives:
% 186.03/30.54  | 
% 186.03/30.54  | Case 1:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (7)  all_56_11 = e1 & op(e1, e0) = e1
% 186.03/30.54  | | 
% 186.03/30.54  | | ALPHA: (7) implies:
% 186.03/30.54  | |   (8)  all_56_11 = e1
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (5), (6), (8) are inconsistent by sub-proof #1229.
% 186.03/30.54  | | 
% 186.03/30.54  | Case 2:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (9)  all_56_15 = e1 & op(e0, e0) = e1
% 186.03/30.54  | | 
% 186.03/30.54  | | ALPHA: (9) implies:
% 186.03/30.54  | |   (10)  op(e0, e0) = e1
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1516.
% 186.03/30.54  | | 
% 186.03/30.54  | End of split
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1140 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 186.03/30.54    (2)   ~ (e1 = e0)
% 186.03/30.54    (3)   ~ (all_52_9 = e0)
% 186.03/30.54    (4)  op(e2, e1) = all_52_9
% 186.03/30.54    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.54    (6)  all_56_10 = e1
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | BETA: splitting (1) gives:
% 186.03/30.54  | 
% 186.03/30.54  | Case 1:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (7)  all_56_5 = e0 & op(e2, e1) = e0
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (3), (4), (5), (7) are inconsistent by sub-proof #1476.
% 186.03/30.54  | | 
% 186.03/30.54  | Case 2:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (8)  all_56_10 = e0 & op(e2, e0) = e0
% 186.03/30.54  | | 
% 186.03/30.54  | | ALPHA: (8) implies:
% 186.03/30.54  | |   (9)  all_56_10 = e0
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (2), (6), (9) are inconsistent by sub-proof #1184.
% 186.03/30.54  | | 
% 186.03/30.54  | End of split
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1141 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)  all_56_10 = e3 & op(e2, e0) = e3
% 186.03/30.54    (2)  all_56_10 = e1
% 186.03/30.54    (3)   ~ (e3 = e1)
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | ALPHA: (1) implies:
% 186.03/30.54  |   (4)  all_56_10 = e3
% 186.03/30.54  | 
% 186.03/30.54  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.54  |   (5)  e3 = e1
% 186.03/30.54  | 
% 186.03/30.54  | REDUCE: (3), (5) imply:
% 186.03/30.54  |   (6)  $false
% 186.03/30.54  | 
% 186.03/30.54  | CLOSE: (6) is inconsistent.
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1142 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)   ~ (all_52_14 = e0)
% 186.03/30.54    (2)  op(e1, e0) = all_52_14
% 186.03/30.54    (3)   ~ (all_57_15 = e0)
% 186.03/30.54    (4)  op(e0, e0) = all_57_31
% 186.03/30.54    (5)   ~ (e3 = e0)
% 186.03/30.54    (6)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 186.03/30.54         (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 186.03/30.54           all_57_27 = e0 & op(e1, e0) = e0)
% 186.03/30.54    (7)  op(e0, all_57_31) = all_57_15
% 186.03/30.54    (8)   ~ (all_52_7 = e0)
% 186.03/30.54    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.54    (10)  op(e0, e2) = all_57_26
% 186.03/30.54    (11)  op(e3, e0) = e3
% 186.03/30.54    (12)  op(e0, e2) = all_52_7
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | BETA: splitting (6) gives:
% 186.03/30.54  | 
% 186.03/30.54  | Case 1:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (13)  all_57_31 = e0
% 186.03/30.54  | | 
% 186.03/30.54  | | REDUCE: (7), (13) imply:
% 186.03/30.54  | |   (14)  op(e0, e0) = all_57_15
% 186.03/30.54  | | 
% 186.03/30.54  | | REDUCE: (4), (13) imply:
% 186.03/30.54  | |   (15)  op(e0, e0) = e0
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (3), (9), (14), (15) are inconsistent by sub-proof #1605.
% 186.03/30.54  | | 
% 186.03/30.54  | Case 2:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (16)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 =
% 186.03/30.54  | |           e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 186.03/30.54  | |           all_57_27 = e0 & op(e1, e0) = e0)
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (1), (2), (5), (8), (9), (10), (11), (12), (16) are inconsistent
% 186.03/30.54  | |            by sub-proof #1143.
% 186.03/30.54  | | 
% 186.03/30.54  | End of split
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1143 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)   ~ (all_52_14 = e0)
% 186.03/30.54    (2)  op(e1, e0) = all_52_14
% 186.03/30.54    (3)   ~ (e3 = e0)
% 186.03/30.54    (4)   ~ (all_52_7 = e0)
% 186.03/30.54    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.54    (6)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.03/30.54           all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 186.03/30.54           op(e1, e0) = e0)
% 186.03/30.54    (7)  op(e0, e2) = all_57_26
% 186.03/30.54    (8)  op(e3, e0) = e3
% 186.03/30.54    (9)  op(e0, e2) = all_52_7
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | BETA: splitting (6) gives:
% 186.03/30.54  | 
% 186.03/30.54  | Case 1:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (10)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 186.03/30.54  | | 
% 186.03/30.54  | | ALPHA: (10) implies:
% 186.03/30.54  | |   (11)  op(e3, e0) = e0
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (3), (5), (8), (11) are inconsistent by sub-proof #1189.
% 186.03/30.54  | | 
% 186.03/30.54  | Case 2:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (12)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 =
% 186.03/30.54  | |           e0 & all_57_27 = e0 & op(e1, e0) = e0)
% 186.03/30.54  | | 
% 186.03/30.54  | | BETA: splitting (12) gives:
% 186.03/30.54  | | 
% 186.03/30.54  | | Case 1:
% 186.03/30.54  | | | 
% 186.03/30.54  | | |   (13)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 186.03/30.54  | | | 
% 186.03/30.54  | | | ALPHA: (13) implies:
% 186.03/30.54  | | |   (14)  all_57_26 = e0
% 186.03/30.54  | | | 
% 186.03/30.54  | | | REDUCE: (7), (14) imply:
% 186.03/30.54  | | |   (15)  op(e0, e2) = e0
% 186.03/30.54  | | | 
% 186.03/30.54  | | | REF_CLOSE: (4), (5), (9), (15) are inconsistent by sub-proof #1463.
% 186.03/30.54  | | | 
% 186.03/30.54  | | Case 2:
% 186.03/30.54  | | | 
% 186.03/30.54  | | |   (16)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 186.03/30.54  | | | 
% 186.03/30.54  | | | ALPHA: (16) implies:
% 186.03/30.54  | | |   (17)  op(e1, e0) = e0
% 186.03/30.54  | | | 
% 186.03/30.54  | | | REF_CLOSE: (1), (2), (5), (17) are inconsistent by sub-proof #1318.
% 186.03/30.54  | | | 
% 186.03/30.54  | | End of split
% 186.03/30.54  | | 
% 186.03/30.54  | End of split
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1144 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)  all_54_6 = all_52_9
% 186.03/30.54    (2)   ~ (all_52_11 = e1)
% 186.03/30.54    (3)  op(e2, e1) = e2
% 186.03/30.54    (4)   ~ (all_52_9 = e0)
% 186.03/30.54    (5)  op(e2, e1) = all_52_9
% 186.03/30.54    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.54    (7)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 186.03/30.54    (8)   ~ (all_52_9 = all_52_11)
% 186.03/30.54    (9)   ~ (all_52_11 = e0)
% 186.03/30.54    (10)  all_54_14 = all_52_11
% 186.03/30.54    (11)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | BETA: splitting (11) gives:
% 186.03/30.54  | 
% 186.03/30.54  | Case 1:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (12)  all_54_14 = e2
% 186.03/30.54  | | 
% 186.03/30.54  | | COMBINE_EQS: (10), (12) imply:
% 186.03/30.54  | |   (13)  all_52_11 = e2
% 186.03/30.54  | | 
% 186.03/30.54  | | REDUCE: (8), (13) imply:
% 186.03/30.54  | |   (14)   ~ (all_52_9 = e2)
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (14) are inconsistent by sub-proof
% 186.03/30.54  | |            #1145.
% 186.03/30.54  | | 
% 186.03/30.54  | Case 2:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (15)  all_54_14 = e1 | all_54_14 = e0
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (2), (9), (10), (15) are inconsistent by sub-proof #1305.
% 186.03/30.54  | | 
% 186.03/30.54  | End of split
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1145 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)  all_54_6 = all_52_9
% 186.03/30.54    (2)  op(e2, e1) = e2
% 186.03/30.54    (3)   ~ (all_52_9 = e0)
% 186.03/30.54    (4)  op(e2, e1) = all_52_9
% 186.03/30.54    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.54    (6)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 186.03/30.54    (7)   ~ (all_52_9 = e2)
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | BETA: splitting (6) gives:
% 186.03/30.54  | 
% 186.03/30.54  | Case 1:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (8)  all_54_6 = e3
% 186.03/30.54  | | 
% 186.03/30.54  | | COMBINE_EQS: (1), (8) imply:
% 186.03/30.54  | |   (9)  all_52_9 = e3
% 186.03/30.54  | | 
% 186.03/30.54  | | SIMP: (9) implies:
% 186.03/30.54  | |   (10)  all_52_9 = e3
% 186.03/30.54  | | 
% 186.03/30.54  | | REDUCE: (7), (10) imply:
% 186.03/30.54  | |   (11)   ~ (e3 = e2)
% 186.03/30.54  | | 
% 186.03/30.54  | | REDUCE: (4), (10) imply:
% 186.03/30.54  | |   (12)  op(e2, e1) = e3
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (2), (5), (11), (12) are inconsistent by sub-proof #1297.
% 186.03/30.54  | | 
% 186.03/30.54  | Case 2:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (13)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (13) are inconsistent by sub-proof
% 186.03/30.54  | |            #1146.
% 186.03/30.54  | | 
% 186.03/30.54  | End of split
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1146 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)  all_54_6 = all_52_9
% 186.03/30.54    (2)  op(e2, e1) = e2
% 186.03/30.54    (3)   ~ (all_52_9 = e0)
% 186.03/30.54    (4)  op(e2, e1) = all_52_9
% 186.03/30.54    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.54    (6)   ~ (all_52_9 = e2)
% 186.03/30.54    (7)  all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | BETA: splitting (7) gives:
% 186.03/30.54  | 
% 186.03/30.54  | Case 1:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (8)  all_54_6 = e2
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (1), (6), (8) are inconsistent by sub-proof #1241.
% 186.03/30.54  | | 
% 186.03/30.54  | Case 2:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (9)   ~ (all_54_6 = e2)
% 186.03/30.54  | |   (10)  all_54_6 = e1 | all_54_6 = e0
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (10) are inconsistent by sub-proof
% 186.03/30.54  | |            #1147.
% 186.03/30.54  | | 
% 186.03/30.54  | End of split
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1147 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)  all_54_6 = all_52_9
% 186.03/30.54    (2)  op(e2, e1) = e2
% 186.03/30.54    (3)   ~ (all_52_9 = e0)
% 186.03/30.54    (4)  op(e2, e1) = all_52_9
% 186.03/30.54    (5)  all_54_6 = e1 | all_54_6 = e0
% 186.03/30.54    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.54    (7)   ~ (all_52_9 = e2)
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | BETA: splitting (5) gives:
% 186.03/30.54  | 
% 186.03/30.54  | Case 1:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (8)  all_54_6 = e1
% 186.03/30.54  | | 
% 186.03/30.54  | | COMBINE_EQS: (1), (8) imply:
% 186.03/30.54  | |   (9)  all_52_9 = e1
% 186.03/30.54  | | 
% 186.03/30.54  | | SIMP: (9) implies:
% 186.03/30.54  | |   (10)  all_52_9 = e1
% 186.03/30.54  | | 
% 186.03/30.54  | | REDUCE: (7), (10) imply:
% 186.03/30.54  | |   (11)   ~ (e2 = e1)
% 186.03/30.54  | | 
% 186.03/30.54  | | SIMP: (11) implies:
% 186.03/30.54  | |   (12)   ~ (e2 = e1)
% 186.03/30.54  | | 
% 186.03/30.54  | | REDUCE: (4), (10) imply:
% 186.03/30.54  | |   (13)  op(e2, e1) = e1
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (2), (6), (12), (13) are inconsistent by sub-proof #1148.
% 186.03/30.54  | | 
% 186.03/30.54  | Case 2:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (14)  all_54_6 = e0
% 186.03/30.54  | | 
% 186.03/30.54  | | REF_CLOSE: (1), (3), (14) are inconsistent by sub-proof #1235.
% 186.03/30.54  | | 
% 186.03/30.54  | End of split
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1148 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.54    (2)  op(e2, e1) = e2
% 186.03/30.54    (3)  op(e2, e1) = e1
% 186.03/30.54    (4)   ~ (e2 = e1)
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | GROUND_INST: instantiating (1) with e1, e2, e1, e2, simplifying with (2), (3)
% 186.03/30.54  |              gives:
% 186.03/30.54  |   (5)  e2 = e1
% 186.03/30.54  | 
% 186.03/30.54  | REDUCE: (4), (5) imply:
% 186.03/30.54  |   (6)  $false
% 186.03/30.54  | 
% 186.03/30.54  | CLOSE: (6) is inconsistent.
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1149 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)  op(e3, e1) = e1
% 186.03/30.54    (2)   ~ (all_4_2 = e0)
% 186.03/30.54    (3)   ~ (e1 = e0)
% 186.03/30.54    (4)   ~ (e3 = e0)
% 186.03/30.54    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.03/30.54         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.54    (6)   ~ (e3 = e1)
% 186.03/30.54    (7)  op(e3, e3) = e2
% 186.03/30.54    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.54    (9)  all_56_4 = e1
% 186.03/30.54    (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.03/30.54          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.54    (11)   ~ (e3 = e2)
% 186.03/30.54    (12)  op(e3, e3) = all_4_2
% 186.03/30.54    (13)  all_56_9 = e1
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | BETA: splitting (5) gives:
% 186.03/30.54  | 
% 186.03/30.54  | Case 1:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 186.03/30.54  | |           e0)
% 186.03/30.54  | | 
% 186.03/30.54  | | BETA: splitting (14) gives:
% 186.03/30.54  | | 
% 186.03/30.54  | | Case 1:
% 186.03/30.54  | | | 
% 186.03/30.54  | | |   (15)  all_56_0 = e0 & op(e3, e3) = e0
% 186.03/30.54  | | | 
% 186.03/30.54  | | | ALPHA: (15) implies:
% 186.03/30.54  | | |   (16)  op(e3, e3) = e0
% 186.03/30.54  | | | 
% 186.03/30.54  | | | REF_CLOSE: (2), (8), (12), (16) are inconsistent by sub-proof #1624.
% 186.03/30.54  | | | 
% 186.03/30.54  | | Case 2:
% 186.03/30.54  | | | 
% 186.03/30.54  | | |   (17)  all_56_1 = e0 & op(e3, e2) = e0
% 186.03/30.54  | | | 
% 186.03/30.54  | | | ALPHA: (17) implies:
% 186.03/30.54  | | |   (18)  all_56_1 = e0
% 186.03/30.54  | | | 
% 186.03/30.54  | | | REF_CLOSE: (4), (6), (7), (8), (9), (10), (11), (13), (18) are
% 186.03/30.54  | | |            inconsistent by sub-proof #1150.
% 186.03/30.54  | | | 
% 186.03/30.54  | | End of split
% 186.03/30.54  | | 
% 186.03/30.54  | Case 2:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (19)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 186.03/30.54  | |           e0)
% 186.03/30.54  | | 
% 186.03/30.54  | | BETA: splitting (19) gives:
% 186.03/30.54  | | 
% 186.03/30.54  | | Case 1:
% 186.03/30.54  | | | 
% 186.03/30.54  | | |   (20)  all_56_4 = e0 & op(e3, e1) = e0
% 186.03/30.54  | | | 
% 186.03/30.54  | | | ALPHA: (20) implies:
% 186.03/30.54  | | |   (21)  op(e3, e1) = e0
% 186.03/30.54  | | | 
% 186.03/30.54  | | | REF_CLOSE: (1), (3), (8), (21) are inconsistent by sub-proof #1571.
% 186.03/30.54  | | | 
% 186.03/30.54  | | Case 2:
% 186.03/30.54  | | | 
% 186.03/30.54  | | |   (22)  all_56_9 = e0 & op(e3, e0) = e0
% 186.03/30.54  | | | 
% 186.03/30.54  | | | REF_CLOSE: (3), (13), (22) are inconsistent by sub-proof #1505.
% 186.03/30.54  | | | 
% 186.03/30.54  | | End of split
% 186.03/30.54  | | 
% 186.03/30.54  | End of split
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1150 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)  all_56_1 = e0
% 186.03/30.54    (2)   ~ (e3 = e0)
% 186.03/30.54    (3)   ~ (e3 = e1)
% 186.03/30.54    (4)  op(e3, e3) = e2
% 186.03/30.54    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.54    (6)  all_56_4 = e1
% 186.03/30.54    (7)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.03/30.54         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.54    (8)   ~ (e3 = e2)
% 186.03/30.54    (9)  all_56_9 = e1
% 186.03/30.54  
% 186.03/30.54  Begin of proof
% 186.03/30.54  | 
% 186.03/30.54  | BETA: splitting (7) gives:
% 186.03/30.54  | 
% 186.03/30.54  | Case 1:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 186.03/30.54  | |           e3)
% 186.03/30.54  | | 
% 186.03/30.54  | | BETA: splitting (10) gives:
% 186.03/30.54  | | 
% 186.03/30.54  | | Case 1:
% 186.03/30.54  | | | 
% 186.03/30.54  | | |   (11)  all_56_0 = e3 & op(e3, e3) = e3
% 186.03/30.54  | | | 
% 186.03/30.54  | | | ALPHA: (11) implies:
% 186.03/30.54  | | |   (12)  op(e3, e3) = e3
% 186.03/30.54  | | | 
% 186.03/30.54  | | | REF_CLOSE: (4), (5), (8), (12) are inconsistent by sub-proof #1594.
% 186.03/30.54  | | | 
% 186.03/30.54  | | Case 2:
% 186.03/30.54  | | | 
% 186.03/30.54  | | |   (13)  all_56_1 = e3 & op(e3, e2) = e3
% 186.03/30.54  | | | 
% 186.03/30.54  | | | ALPHA: (13) implies:
% 186.03/30.54  | | |   (14)  all_56_1 = e3
% 186.03/30.54  | | | 
% 186.03/30.54  | | | REF_CLOSE: (1), (2), (14) are inconsistent by sub-proof #1573.
% 186.03/30.54  | | | 
% 186.03/30.54  | | End of split
% 186.03/30.54  | | 
% 186.03/30.54  | Case 2:
% 186.03/30.54  | | 
% 186.03/30.54  | |   (15)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 186.03/30.54  | |           e3)
% 186.03/30.54  | | 
% 186.03/30.54  | | BETA: splitting (15) gives:
% 186.03/30.54  | | 
% 186.03/30.54  | | Case 1:
% 186.03/30.54  | | | 
% 186.03/30.54  | | |   (16)  all_56_4 = e3 & op(e3, e1) = e3
% 186.03/30.54  | | | 
% 186.03/30.54  | | | ALPHA: (16) implies:
% 186.03/30.54  | | |   (17)  all_56_4 = e3
% 186.03/30.54  | | | 
% 186.03/30.54  | | | REF_CLOSE: (3), (6), (17) are inconsistent by sub-proof #1567.
% 186.03/30.54  | | | 
% 186.03/30.54  | | Case 2:
% 186.03/30.54  | | | 
% 186.03/30.54  | | |   (18)  all_56_9 = e3 & op(e3, e0) = e3
% 186.03/30.54  | | | 
% 186.03/30.54  | | | ALPHA: (18) implies:
% 186.03/30.54  | | |   (19)  all_56_9 = e3
% 186.03/30.54  | | | 
% 186.03/30.54  | | | REF_CLOSE: (3), (9), (19) are inconsistent by sub-proof #1376.
% 186.03/30.54  | | | 
% 186.03/30.54  | | End of split
% 186.03/30.54  | | 
% 186.03/30.54  | End of split
% 186.03/30.54  | 
% 186.03/30.54  End of proof
% 186.03/30.54  
% 186.03/30.54  Sub-proof #1151 shows that the following formulas are inconsistent:
% 186.03/30.54  ----------------------------------------------------------------
% 186.03/30.54    (1)   ~ (all_52_8 = e3)
% 186.03/30.54    (2)  all_56_9 = e0 & op(e3, e0) = e0
% 186.03/30.54    (3)   ~ (e3 = e0)
% 186.03/30.54    (4)   ~ (e3 = e1)
% 186.03/30.54    (5)  op(e3, e3) = e2
% 186.03/30.54    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.54           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.54    (7)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.03/30.54         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.54    (8)   ~ (e3 = e2)
% 186.03/30.55    (9)  op(e3, e1) = all_52_8
% 186.03/30.55    (10)  op(e3, e2) = e1
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | ALPHA: (2) implies:
% 186.03/30.55  |   (11)  op(e3, e0) = e0
% 186.03/30.55  | 
% 186.03/30.55  | BETA: splitting (7) gives:
% 186.03/30.55  | 
% 186.03/30.55  | Case 1:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 186.03/30.55  | |           e3)
% 186.03/30.55  | | 
% 186.03/30.55  | | REF_CLOSE: (4), (5), (6), (8), (10), (12) are inconsistent by sub-proof
% 186.03/30.55  | |            #1578.
% 186.03/30.55  | | 
% 186.03/30.55  | Case 2:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (13)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 186.03/30.55  | |           e3)
% 186.03/30.55  | | 
% 186.03/30.55  | | BETA: splitting (13) gives:
% 186.03/30.55  | | 
% 186.03/30.55  | | Case 1:
% 186.03/30.55  | | | 
% 186.03/30.55  | | |   (14)  all_56_4 = e3 & op(e3, e1) = e3
% 186.03/30.55  | | | 
% 186.03/30.55  | | | ALPHA: (14) implies:
% 186.03/30.55  | | |   (15)  op(e3, e1) = e3
% 186.03/30.55  | | | 
% 186.03/30.55  | | | REF_CLOSE: (1), (6), (9), (15) are inconsistent by sub-proof #1346.
% 186.03/30.55  | | | 
% 186.03/30.55  | | Case 2:
% 186.03/30.55  | | | 
% 186.03/30.55  | | |   (16)  all_56_9 = e3 & op(e3, e0) = e3
% 186.03/30.55  | | | 
% 186.03/30.55  | | | ALPHA: (16) implies:
% 186.03/30.55  | | |   (17)  op(e3, e0) = e3
% 186.03/30.55  | | | 
% 186.03/30.55  | | | REF_CLOSE: (3), (6), (11), (17) are inconsistent by sub-proof #1189.
% 186.03/30.55  | | | 
% 186.03/30.55  | | End of split
% 186.03/30.55  | | 
% 186.03/30.55  | End of split
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1152 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)   ~ (all_4_2 = e0)
% 186.03/30.55    (2)   ~ (e1 = e0)
% 186.03/30.55    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 186.03/30.55    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.55    (5)  op(e3, e3) = all_4_2
% 186.03/30.55    (6)  all_56_1 = e1
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | BETA: splitting (3) gives:
% 186.03/30.55  | 
% 186.03/30.55  | Case 1:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 186.03/30.55  | | 
% 186.03/30.55  | | ALPHA: (7) implies:
% 186.03/30.55  | |   (8)  op(e3, e3) = e0
% 186.03/30.55  | | 
% 186.03/30.55  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1624.
% 186.03/30.55  | | 
% 186.03/30.55  | Case 2:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (9)  all_56_1 = e0 & op(e3, e2) = e0
% 186.03/30.55  | | 
% 186.03/30.55  | | ALPHA: (9) implies:
% 186.03/30.55  | |   (10)  all_56_1 = e0
% 186.03/30.55  | | 
% 186.03/30.55  | | REF_CLOSE: (2), (6), (10) are inconsistent by sub-proof #1432.
% 186.03/30.55  | | 
% 186.03/30.55  | End of split
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1153 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)  op(e0, e0) = all_6_2
% 186.03/30.55    (2)   ~ (all_6_2 = e1)
% 186.03/30.55    (3)   ~ (e1 = e0)
% 186.03/30.55    (4)   ~ (e3 = e0)
% 186.03/30.55    (5)   ~ (e2 = e0)
% 186.03/30.55    (6)   ~ (e3 = e1)
% 186.03/30.55    (7)   ~ (all_6_2 = e2)
% 186.03/30.55    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.55    (9)  op(e0, e0) = e3
% 186.03/30.55    (10)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.03/30.55          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.55            e1)
% 186.03/30.55    (11)   ~ (e3 = e2)
% 186.03/30.55    (12)   ~ (e2 = e1)
% 186.03/30.55    (13)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.03/30.55          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.55            e2)
% 186.03/30.55    (14)  all_56_14 = e3 & op(e0, e1) = e3
% 186.03/30.55    (15)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.55              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.55                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.03/30.55                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | ALPHA: (14) implies:
% 186.03/30.55  |   (16)  all_56_14 = e3
% 186.03/30.55  | 
% 186.03/30.55  | BETA: splitting (13) gives:
% 186.03/30.55  | 
% 186.03/30.55  | Case 1:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (17)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 186.03/30.55  | |           e2)
% 186.03/30.55  | | 
% 186.03/30.55  | | BETA: splitting (17) gives:
% 186.03/30.55  | | 
% 186.03/30.55  | | Case 1:
% 186.03/30.55  | | | 
% 186.03/30.55  | | |   (18)  all_56_12 = e2 & op(e0, e3) = e2
% 186.03/30.55  | | | 
% 186.03/30.55  | | | ALPHA: (18) implies:
% 186.03/30.55  | | |   (19)  all_56_12 = e2
% 186.03/30.55  | | | 
% 186.03/30.55  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 186.03/30.55  | | |            (13), (15), (16), (19) are inconsistent by sub-proof #1155.
% 186.03/30.55  | | | 
% 186.03/30.55  | | Case 2:
% 186.03/30.55  | | | 
% 186.03/30.55  | | |   (20)  all_56_13 = e2 & op(e0, e2) = e2
% 186.03/30.55  | | | 
% 186.03/30.55  | | | ALPHA: (20) implies:
% 186.03/30.55  | | |   (21)  all_56_13 = e2
% 186.03/30.55  | | | 
% 186.03/30.55  | | | BETA: splitting (15) gives:
% 186.03/30.55  | | | 
% 186.03/30.55  | | | Case 1:
% 186.03/30.55  | | | | 
% 186.03/30.55  | | | |   (22)  all_56_15 = e0 & op(e0, e0) = e0
% 186.03/30.55  | | | | 
% 186.03/30.55  | | | | ALPHA: (22) implies:
% 186.03/30.55  | | | |   (23)  op(e0, e0) = e0
% 186.03/30.55  | | | | 
% 186.03/30.55  | | | | REF_CLOSE: (4), (8), (9), (23) are inconsistent by sub-proof #1540.
% 186.03/30.55  | | | | 
% 186.03/30.55  | | | Case 2:
% 186.03/30.55  | | | | 
% 186.03/30.55  | | | |   (24)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2,
% 186.03/30.55  | | | |               e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 186.03/30.55  | | | |         ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0,
% 186.03/30.55  | | | |               e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 186.03/30.55  | | | | 
% 186.03/30.55  | | | | ALPHA: (24) implies:
% 186.03/30.55  | | | |   (25)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0,
% 186.03/30.55  | | | |             e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.03/30.55  | | | | 
% 186.03/30.55  | | | | BETA: splitting (25) gives:
% 186.03/30.55  | | | | 
% 186.03/30.55  | | | | Case 1:
% 186.03/30.55  | | | | | 
% 186.03/30.55  | | | | |   (26)  all_56_12 = e0 & op(e0, e3) = e0
% 186.03/30.55  | | | | | 
% 186.03/30.55  | | | | | ALPHA: (26) implies:
% 186.03/30.55  | | | | |   (27)  all_56_12 = e0
% 186.03/30.55  | | | | |   (28)  op(e0, e3) = e0
% 186.03/30.55  | | | | | 
% 186.03/30.55  | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (10), (11), (12), (13),
% 186.03/30.55  | | | | |            (16), (27), (28) are inconsistent by sub-proof #1506.
% 186.03/30.55  | | | | | 
% 186.03/30.55  | | | | Case 2:
% 186.03/30.55  | | | | | 
% 186.03/30.55  | | | | |   (29)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 186.03/30.55  | | | | |             e1) = e0)
% 186.03/30.55  | | | | | 
% 186.03/30.55  | | | | | BETA: splitting (29) gives:
% 186.03/30.55  | | | | | 
% 186.03/30.55  | | | | | Case 1:
% 186.03/30.55  | | | | | | 
% 186.03/30.55  | | | | | |   (30)  all_56_13 = e0 & op(e0, e2) = e0
% 186.03/30.55  | | | | | | 
% 186.03/30.55  | | | | | | REF_CLOSE: (5), (21), (30) are inconsistent by sub-proof #1154.
% 186.03/30.55  | | | | | | 
% 186.03/30.55  | | | | | Case 2:
% 186.03/30.55  | | | | | | 
% 186.03/30.55  | | | | | |   (31)  all_56_14 = e0 & op(e0, e1) = e0
% 186.03/30.55  | | | | | | 
% 186.03/30.55  | | | | | | REF_CLOSE: (4), (16), (31) are inconsistent by sub-proof #1371.
% 186.03/30.55  | | | | | | 
% 186.03/30.55  | | | | | End of split
% 186.03/30.55  | | | | | 
% 186.03/30.55  | | | | End of split
% 186.03/30.55  | | | | 
% 186.03/30.55  | | | End of split
% 186.03/30.55  | | | 
% 186.03/30.55  | | End of split
% 186.03/30.55  | | 
% 186.03/30.55  | Case 2:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (32)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.55  | |           e2)
% 186.03/30.55  | | 
% 186.03/30.55  | | REF_CLOSE: (1), (7), (8), (11), (16), (32) are inconsistent by sub-proof
% 186.03/30.55  | |            #1365.
% 186.03/30.55  | | 
% 186.03/30.55  | End of split
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1154 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)  all_56_13 = e0 & op(e0, e2) = e0
% 186.03/30.55    (2)  all_56_13 = e2
% 186.03/30.55    (3)   ~ (e2 = e0)
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | ALPHA: (1) implies:
% 186.03/30.55  |   (4)  all_56_13 = e0
% 186.03/30.55  | 
% 186.03/30.55  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.55  |   (5)  e2 = e0
% 186.03/30.55  | 
% 186.03/30.55  | REDUCE: (3), (5) imply:
% 186.03/30.55  |   (6)  $false
% 186.03/30.55  | 
% 186.03/30.55  | CLOSE: (6) is inconsistent.
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1155 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)  op(e0, e0) = all_6_2
% 186.03/30.55    (2)   ~ (all_6_2 = e1)
% 186.03/30.55    (3)   ~ (e1 = e0)
% 186.03/30.55    (4)   ~ (e3 = e0)
% 186.03/30.55    (5)   ~ (e2 = e0)
% 186.03/30.55    (6)   ~ (e3 = e1)
% 186.03/30.55    (7)   ~ (all_6_2 = e2)
% 186.03/30.55    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.55    (9)  all_56_12 = e2
% 186.03/30.55    (10)  op(e0, e0) = e3
% 186.03/30.55    (11)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.03/30.55          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.03/30.55            e1)
% 186.03/30.55    (12)   ~ (e3 = e2)
% 186.03/30.55    (13)  all_56_14 = e3
% 186.03/30.55    (14)   ~ (e2 = e1)
% 186.03/30.55    (15)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.03/30.55          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.03/30.55            e2)
% 186.03/30.55    (16)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.55              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.55                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.03/30.55                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | BETA: splitting (16) gives:
% 186.03/30.55  | 
% 186.03/30.55  | Case 1:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (17)  all_56_15 = e0 & op(e0, e0) = e0
% 186.03/30.55  | | 
% 186.03/30.55  | | ALPHA: (17) implies:
% 186.03/30.55  | |   (18)  op(e0, e0) = e0
% 186.03/30.55  | | 
% 186.03/30.55  | | REF_CLOSE: (4), (8), (10), (18) are inconsistent by sub-proof #1540.
% 186.03/30.55  | | 
% 186.03/30.55  | Case 2:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (19)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 186.03/30.55  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 186.03/30.55  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 186.03/30.55  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 186.03/30.55  | | 
% 186.03/30.55  | | ALPHA: (19) implies:
% 186.03/30.55  | |   (20)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.03/30.55  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.03/30.55  | | 
% 186.03/30.55  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 186.03/30.55  | |            (14), (15), (20) are inconsistent by sub-proof #1367.
% 186.03/30.55  | | 
% 186.03/30.55  | End of split
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1156 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)  all_56_11 = e3
% 186.03/30.55    (2)   ~ (e2 = e0)
% 186.03/30.55    (3)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 186.03/30.55    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.55    (5)   ~ (e3 = e2)
% 186.03/30.55    (6)  op(e1, e1) = e0
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | BETA: splitting (3) gives:
% 186.03/30.55  | 
% 186.03/30.55  | Case 1:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (7)  all_56_8 = e2 & op(e1, e1) = e2
% 186.03/30.55  | | 
% 186.03/30.55  | | ALPHA: (7) implies:
% 186.03/30.55  | |   (8)  op(e1, e1) = e2
% 186.03/30.55  | | 
% 186.03/30.55  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1230.
% 186.03/30.55  | | 
% 186.03/30.55  | Case 2:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (9)  all_56_11 = e2 & op(e1, e0) = e2
% 186.03/30.55  | | 
% 186.03/30.55  | | REF_CLOSE: (1), (5), (9) are inconsistent by sub-proof #1159.
% 186.03/30.55  | | 
% 186.03/30.55  | End of split
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1157 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.55    (2)   ~ (all_52_8 = e0)
% 186.03/30.55    (3)  op(e3, e1) = all_57_17
% 186.03/30.55    (4)  op(e3, e1) = e0
% 186.03/30.55    (5)  op(e3, e1) = all_52_8
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | GROUND_INST: instantiating (1) with all_52_8, all_57_17, e1, e3, simplifying
% 186.03/30.55  |              with (3), (5) gives:
% 186.03/30.55  |   (6)  all_57_17 = all_52_8
% 186.03/30.55  | 
% 186.03/30.55  | GROUND_INST: instantiating (1) with e0, all_57_17, e1, e3, simplifying with
% 186.03/30.55  |              (3), (4) gives:
% 186.03/30.55  |   (7)  all_57_17 = e0
% 186.03/30.55  | 
% 186.03/30.55  | COMBINE_EQS: (6), (7) imply:
% 186.03/30.55  |   (8)  all_52_8 = e0
% 186.03/30.55  | 
% 186.03/30.55  | SIMP: (8) implies:
% 186.03/30.55  |   (9)  all_52_8 = e0
% 186.03/30.55  | 
% 186.03/30.55  | REDUCE: (2), (9) imply:
% 186.03/30.55  |   (10)  $false
% 186.03/30.55  | 
% 186.03/30.55  | CLOSE: (10) is inconsistent.
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1158 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)  op(e0, e0) = all_6_2
% 186.03/30.55    (2)  all_56_11 = e3
% 186.03/30.55    (3)   ~ (all_6_2 = e2)
% 186.03/30.55    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.55    (5)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.03/30.55    (6)   ~ (e3 = e2)
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | BETA: splitting (5) gives:
% 186.03/30.55  | 
% 186.03/30.55  | Case 1:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (7)  all_56_11 = e2 & op(e1, e0) = e2
% 186.03/30.55  | | 
% 186.03/30.55  | | REF_CLOSE: (2), (6), (7) are inconsistent by sub-proof #1159.
% 186.03/30.55  | | 
% 186.03/30.55  | Case 2:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (8)  all_56_15 = e2 & op(e0, e0) = e2
% 186.03/30.55  | | 
% 186.03/30.55  | | ALPHA: (8) implies:
% 186.03/30.55  | |   (9)  op(e0, e0) = e2
% 186.03/30.55  | | 
% 186.03/30.55  | | REF_CLOSE: (1), (3), (4), (9) are inconsistent by sub-proof #1511.
% 186.03/30.55  | | 
% 186.03/30.55  | End of split
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1159 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)  all_56_11 = e2 & op(e1, e0) = e2
% 186.03/30.55    (2)  all_56_11 = e3
% 186.03/30.55    (3)   ~ (e3 = e2)
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | ALPHA: (1) implies:
% 186.03/30.55  |   (4)  all_56_11 = e2
% 186.03/30.55  | 
% 186.03/30.55  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.55  |   (5)  e3 = e2
% 186.03/30.55  | 
% 186.03/30.55  | REDUCE: (3), (5) imply:
% 186.03/30.55  |   (6)  $false
% 186.03/30.55  | 
% 186.03/30.55  | CLOSE: (6) is inconsistent.
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1160 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)  all_56_10 = e0 & op(e2, e0) = e0
% 186.03/30.55    (2)  all_56_10 = e2
% 186.03/30.55    (3)   ~ (e2 = e0)
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | ALPHA: (1) implies:
% 186.03/30.55  |   (4)  all_56_10 = e0
% 186.03/30.55  | 
% 186.03/30.55  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.55  |   (5)  e2 = e0
% 186.03/30.55  | 
% 186.03/30.55  | REDUCE: (3), (5) imply:
% 186.03/30.55  |   (6)  $false
% 186.03/30.55  | 
% 186.03/30.55  | CLOSE: (6) is inconsistent.
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1161 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)  all_56_6 = e2
% 186.03/30.55    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 186.03/30.55         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 186.03/30.55    (3)   ~ (e1 = e0)
% 186.03/30.55    (4)   ~ (e3 = e0)
% 186.03/30.55    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.03/30.55         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.55    (6)   ~ (all_52_6 = e0)
% 186.03/30.55    (7)   ~ (e2 = e0)
% 186.03/30.55    (8)   ~ (e3 = e1)
% 186.03/30.55    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.55    (10)   ~ (e3 = e2)
% 186.03/30.55    (11)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 186.03/30.55          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.03/30.55    (12)  op(e1, e2) = all_52_6
% 186.03/30.55    (13)  op(e1, e1) = e2
% 186.03/30.55    (14)   ~ (e2 = e1)
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | BETA: splitting (5) gives:
% 186.03/30.55  | 
% 186.03/30.55  | Case 1:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 186.03/30.55  | |           e0)
% 186.03/30.55  | | 
% 186.03/30.55  | | REF_CLOSE: (1), (6), (7), (9), (12), (15) are inconsistent by sub-proof
% 186.03/30.55  | |            #1168.
% 186.03/30.55  | | 
% 186.03/30.55  | Case 2:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (16)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 186.03/30.55  | |           e0)
% 186.03/30.55  | | 
% 186.03/30.55  | | BETA: splitting (16) gives:
% 186.03/30.55  | | 
% 186.03/30.55  | | Case 1:
% 186.03/30.55  | | | 
% 186.03/30.55  | | |   (17)  all_56_8 = e0 & op(e1, e1) = e0
% 186.03/30.55  | | | 
% 186.03/30.55  | | | ALPHA: (17) implies:
% 186.03/30.55  | | |   (18)  op(e1, e1) = e0
% 186.03/30.55  | | | 
% 186.03/30.55  | | | REF_CLOSE: (7), (9), (13), (18) are inconsistent by sub-proof #1230.
% 186.03/30.55  | | | 
% 186.03/30.55  | | Case 2:
% 186.03/30.55  | | | 
% 186.03/30.55  | | |   (19)  all_56_11 = e0 & op(e1, e0) = e0
% 186.03/30.55  | | | 
% 186.03/30.55  | | | ALPHA: (19) implies:
% 186.03/30.55  | | |   (20)  all_56_11 = e0
% 186.03/30.55  | | | 
% 186.03/30.55  | | | REF_CLOSE: (1), (2), (3), (4), (8), (9), (10), (11), (13), (14), (20) are
% 186.03/30.55  | | |            inconsistent by sub-proof #1162.
% 186.03/30.55  | | | 
% 186.03/30.55  | | End of split
% 186.03/30.55  | | 
% 186.03/30.55  | End of split
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1162 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)  all_56_6 = e2
% 186.03/30.55    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 186.03/30.55         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 186.03/30.55    (3)   ~ (e1 = e0)
% 186.03/30.55    (4)   ~ (e3 = e0)
% 186.03/30.55    (5)   ~ (e3 = e1)
% 186.03/30.55    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.55    (7)   ~ (e3 = e2)
% 186.03/30.55    (8)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 186.03/30.55         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.03/30.55    (9)  all_56_11 = e0
% 186.03/30.55    (10)  op(e1, e1) = e2
% 186.03/30.55    (11)   ~ (e2 = e1)
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | BETA: splitting (8) gives:
% 186.03/30.55  | 
% 186.03/30.55  | Case 1:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (12)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 186.03/30.55  | |           e3)
% 186.03/30.55  | | 
% 186.03/30.55  | | BETA: splitting (12) gives:
% 186.03/30.55  | | 
% 186.03/30.55  | | Case 1:
% 186.03/30.55  | | | 
% 186.03/30.55  | | |   (13)  all_56_6 = e3 & op(e1, e3) = e3
% 186.03/30.55  | | | 
% 186.03/30.55  | | | REF_CLOSE: (1), (7), (13) are inconsistent by sub-proof #1167.
% 186.03/30.55  | | | 
% 186.03/30.55  | | Case 2:
% 186.03/30.55  | | | 
% 186.03/30.55  | | |   (14)  all_56_7 = e3 & op(e1, e2) = e3
% 186.03/30.55  | | | 
% 186.03/30.55  | | | ALPHA: (14) implies:
% 186.03/30.55  | | |   (15)  all_56_7 = e3
% 186.03/30.55  | | | 
% 186.03/30.55  | | | REF_CLOSE: (1), (2), (3), (5), (6), (9), (10), (11), (15) are inconsistent
% 186.03/30.55  | | |            by sub-proof #1165.
% 186.03/30.55  | | | 
% 186.03/30.55  | | End of split
% 186.03/30.55  | | 
% 186.03/30.55  | Case 2:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (16)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 186.03/30.55  | |           e3)
% 186.03/30.55  | | 
% 186.03/30.55  | | BETA: splitting (16) gives:
% 186.03/30.55  | | 
% 186.03/30.55  | | Case 1:
% 186.03/30.55  | | | 
% 186.03/30.55  | | |   (17)  all_56_8 = e3 & op(e1, e1) = e3
% 186.03/30.55  | | | 
% 186.03/30.55  | | | ALPHA: (17) implies:
% 186.03/30.55  | | |   (18)  op(e1, e1) = e3
% 186.03/30.55  | | | 
% 186.03/30.55  | | | REF_CLOSE: (6), (7), (10), (18) are inconsistent by sub-proof #1164.
% 186.03/30.55  | | | 
% 186.03/30.55  | | Case 2:
% 186.03/30.55  | | | 
% 186.03/30.55  | | |   (19)  all_56_11 = e3 & op(e1, e0) = e3
% 186.03/30.55  | | | 
% 186.03/30.55  | | | ALPHA: (19) implies:
% 186.03/30.55  | | |   (20)  all_56_11 = e3
% 186.03/30.55  | | | 
% 186.03/30.55  | | | REF_CLOSE: (4), (9), (20) are inconsistent by sub-proof #1163.
% 186.03/30.55  | | | 
% 186.03/30.55  | | End of split
% 186.03/30.55  | | 
% 186.03/30.55  | End of split
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1163 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)  all_56_11 = e3
% 186.03/30.55    (2)  all_56_11 = e0
% 186.03/30.55    (3)   ~ (e3 = e0)
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.55  |   (4)  e3 = e0
% 186.03/30.55  | 
% 186.03/30.55  | SIMP: (4) implies:
% 186.03/30.55  |   (5)  e3 = e0
% 186.03/30.55  | 
% 186.03/30.55  | REDUCE: (3), (5) imply:
% 186.03/30.55  |   (6)  $false
% 186.03/30.55  | 
% 186.03/30.55  | CLOSE: (6) is inconsistent.
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1164 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.55    (2)  op(e1, e1) = e3
% 186.03/30.55    (3)  op(e1, e1) = e2
% 186.03/30.55    (4)   ~ (e3 = e2)
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | GROUND_INST: instantiating (1) with e2, e3, e1, e1, simplifying with (2), (3)
% 186.03/30.55  |              gives:
% 186.03/30.55  |   (5)  e3 = e2
% 186.03/30.55  | 
% 186.03/30.55  | REDUCE: (4), (5) imply:
% 186.03/30.55  |   (6)  $false
% 186.03/30.55  | 
% 186.03/30.55  | CLOSE: (6) is inconsistent.
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1165 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)  all_56_6 = e2
% 186.03/30.55    (2)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1) |
% 186.03/30.55         (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) = e1)
% 186.03/30.55    (3)   ~ (e1 = e0)
% 186.03/30.55    (4)   ~ (e3 = e1)
% 186.03/30.55    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.55    (6)  all_56_11 = e0
% 186.03/30.55    (7)  op(e1, e1) = e2
% 186.03/30.55    (8)   ~ (e2 = e1)
% 186.03/30.55    (9)  all_56_7 = e3
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | BETA: splitting (2) gives:
% 186.03/30.55  | 
% 186.03/30.55  | Case 1:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (10)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 186.03/30.55  | |           e1)
% 186.03/30.55  | | 
% 186.03/30.55  | | BETA: splitting (10) gives:
% 186.03/30.55  | | 
% 186.03/30.55  | | Case 1:
% 186.03/30.55  | | | 
% 186.03/30.55  | | |   (11)  all_56_6 = e1 & op(e1, e3) = e1
% 186.03/30.55  | | | 
% 186.03/30.55  | | | ALPHA: (11) implies:
% 186.03/30.55  | | |   (12)  all_56_6 = e1
% 186.03/30.55  | | | 
% 186.03/30.55  | | | REF_CLOSE: (1), (8), (12) are inconsistent by sub-proof #1215.
% 186.03/30.55  | | | 
% 186.03/30.55  | | Case 2:
% 186.03/30.55  | | | 
% 186.03/30.55  | | |   (13)  all_56_7 = e1 & op(e1, e2) = e1
% 186.03/30.55  | | | 
% 186.03/30.55  | | | ALPHA: (13) implies:
% 186.03/30.55  | | |   (14)  all_56_7 = e1
% 186.03/30.55  | | | 
% 186.03/30.55  | | | REF_CLOSE: (4), (9), (14) are inconsistent by sub-proof #1172.
% 186.03/30.55  | | | 
% 186.03/30.55  | | End of split
% 186.03/30.55  | | 
% 186.03/30.55  | Case 2:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (15)  (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 186.03/30.55  | |           e1)
% 186.03/30.55  | | 
% 186.03/30.55  | | BETA: splitting (15) gives:
% 186.03/30.55  | | 
% 186.03/30.55  | | Case 1:
% 186.03/30.55  | | | 
% 186.03/30.55  | | |   (16)  all_56_8 = e1 & op(e1, e1) = e1
% 186.03/30.55  | | | 
% 186.03/30.55  | | | ALPHA: (16) implies:
% 186.03/30.55  | | |   (17)  op(e1, e1) = e1
% 186.03/30.55  | | | 
% 186.03/30.55  | | | REF_CLOSE: (5), (7), (8), (17) are inconsistent by sub-proof #1473.
% 186.03/30.55  | | | 
% 186.03/30.55  | | Case 2:
% 186.03/30.55  | | | 
% 186.03/30.55  | | |   (18)  all_56_11 = e1 & op(e1, e0) = e1
% 186.03/30.55  | | | 
% 186.03/30.55  | | | REF_CLOSE: (3), (6), (18) are inconsistent by sub-proof #1166.
% 186.03/30.55  | | | 
% 186.03/30.55  | | End of split
% 186.03/30.55  | | 
% 186.03/30.55  | End of split
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1166 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)  all_56_11 = e1 & op(e1, e0) = e1
% 186.03/30.55    (2)  all_56_11 = e0
% 186.03/30.55    (3)   ~ (e1 = e0)
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | ALPHA: (1) implies:
% 186.03/30.55  |   (4)  all_56_11 = e1
% 186.03/30.55  | 
% 186.03/30.55  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.55  |   (5)  e1 = e0
% 186.03/30.55  | 
% 186.03/30.55  | REDUCE: (3), (5) imply:
% 186.03/30.55  |   (6)  $false
% 186.03/30.55  | 
% 186.03/30.55  | CLOSE: (6) is inconsistent.
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1167 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)  all_56_6 = e3 & op(e1, e3) = e3
% 186.03/30.55    (2)  all_56_6 = e2
% 186.03/30.55    (3)   ~ (e3 = e2)
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | ALPHA: (1) implies:
% 186.03/30.55  |   (4)  all_56_6 = e3
% 186.03/30.55  | 
% 186.03/30.55  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.55  |   (5)  e3 = e2
% 186.03/30.55  | 
% 186.03/30.55  | REDUCE: (3), (5) imply:
% 186.03/30.55  |   (6)  $false
% 186.03/30.55  | 
% 186.03/30.55  | CLOSE: (6) is inconsistent.
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1168 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)  all_56_6 = e2
% 186.03/30.55    (2)   ~ (all_52_6 = e0)
% 186.03/30.55    (3)   ~ (e2 = e0)
% 186.03/30.55    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.55    (5)  op(e1, e2) = all_52_6
% 186.03/30.55    (6)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0)
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | BETA: splitting (6) gives:
% 186.03/30.55  | 
% 186.03/30.55  | Case 1:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (7)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.55  | | 
% 186.03/30.55  | | ALPHA: (7) implies:
% 186.03/30.55  | |   (8)  all_56_6 = e0
% 186.03/30.55  | | 
% 186.03/30.55  | | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #1592.
% 186.03/30.55  | | 
% 186.03/30.55  | Case 2:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (9)  all_56_7 = e0 & op(e1, e2) = e0
% 186.03/30.55  | | 
% 186.03/30.55  | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #1199.
% 186.03/30.55  | | 
% 186.03/30.55  | End of split
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1169 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)  all_56_1 = e1 & op(e3, e2) = e1
% 186.03/30.55    (2)  all_56_1 = e0
% 186.03/30.55    (3)   ~ (e1 = e0)
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | ALPHA: (1) implies:
% 186.03/30.55  |   (4)  all_56_1 = e1
% 186.03/30.55  | 
% 186.03/30.55  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.55  |   (5)  e1 = e0
% 186.03/30.55  | 
% 186.03/30.55  | REDUCE: (3), (5) imply:
% 186.03/30.55  |   (6)  $false
% 186.03/30.55  | 
% 186.03/30.55  | CLOSE: (6) is inconsistent.
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1170 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.55    (2)  op(e0, e1) = all_26_1
% 186.03/30.55    (3)  op(e0, e1) = e2
% 186.03/30.55    (4)   ~ (all_26_1 = e2)
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | GROUND_INST: instantiating (1) with e2, all_26_1, e1, e0, simplifying with
% 186.03/30.55  |              (2), (3) gives:
% 186.03/30.55  |   (5)  all_26_1 = e2
% 186.03/30.55  | 
% 186.03/30.55  | REDUCE: (4), (5) imply:
% 186.03/30.55  |   (6)  $false
% 186.03/30.55  | 
% 186.03/30.55  | CLOSE: (6) is inconsistent.
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1171 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.55    (2)  op(e0, e1) = e1
% 186.03/30.55    (3)  op(e0, e1) = e0
% 186.03/30.55    (4)   ~ (e1 = e0)
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | GROUND_INST: instantiating (1) with e0, e1, e1, e0, simplifying with (2), (3)
% 186.03/30.55  |              gives:
% 186.03/30.55  |   (5)  e1 = e0
% 186.03/30.55  | 
% 186.03/30.55  | REDUCE: (4), (5) imply:
% 186.03/30.55  |   (6)  $false
% 186.03/30.55  | 
% 186.03/30.55  | CLOSE: (6) is inconsistent.
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1172 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)  all_56_7 = e3
% 186.03/30.55    (2)  all_56_7 = e1
% 186.03/30.55    (3)   ~ (e3 = e1)
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.55  |   (4)  e3 = e1
% 186.03/30.55  | 
% 186.03/30.55  | SIMP: (4) implies:
% 186.03/30.55  |   (5)  e3 = e1
% 186.03/30.55  | 
% 186.03/30.55  | REDUCE: (3), (5) imply:
% 186.03/30.55  |   (6)  $false
% 186.03/30.55  | 
% 186.03/30.55  | CLOSE: (6) is inconsistent.
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1173 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)  op(e1, e3) = all_52_2
% 186.03/30.55    (2)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.55    (3)   ~ (e2 = e0)
% 186.03/30.55    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.55    (5)  all_56_12 = e2
% 186.03/30.55    (6)   ~ (all_52_2 = e0)
% 186.03/30.55  
% 186.03/30.55  Begin of proof
% 186.03/30.55  | 
% 186.03/30.55  | BETA: splitting (2) gives:
% 186.03/30.55  | 
% 186.03/30.55  | Case 1:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (7)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.55  | | 
% 186.03/30.55  | | REF_CLOSE: (1), (4), (6), (7) are inconsistent by sub-proof #1197.
% 186.03/30.55  | | 
% 186.03/30.55  | Case 2:
% 186.03/30.55  | | 
% 186.03/30.55  | |   (8)  all_56_12 = e0 & op(e0, e3) = e0
% 186.03/30.55  | | 
% 186.03/30.55  | | ALPHA: (8) implies:
% 186.03/30.55  | |   (9)  all_56_12 = e0
% 186.03/30.55  | | 
% 186.03/30.55  | | REF_CLOSE: (3), (5), (9) are inconsistent by sub-proof #1548.
% 186.03/30.55  | | 
% 186.03/30.55  | End of split
% 186.03/30.55  | 
% 186.03/30.55  End of proof
% 186.03/30.55  
% 186.03/30.55  Sub-proof #1174 shows that the following formulas are inconsistent:
% 186.03/30.55  ----------------------------------------------------------------
% 186.03/30.55    (1)   ~ (all_26_1 = e2)
% 186.03/30.55    (2)  op(e0, e1) = all_26_1
% 186.03/30.55    (3)   ~ (e3 = e1)
% 186.03/30.55    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.55           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.56    (5)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 =
% 186.03/30.56             e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2)
% 186.03/30.56           & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) =
% 186.03/30.56           all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 186.03/30.56           op(e1, e2) = e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 &
% 186.03/30.56           $i(all_57_8) & $i(all_57_10) & $i(all_57_11) & $i(all_57_22) &
% 186.03/30.56           $i(all_57_24) & $i(all_57_30)) | (op(e0, e1) = all_57_27 &
% 186.03/30.56           $i(all_57_27) & ((all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 =
% 186.03/30.56               e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.03/30.56               &  ~ (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1,
% 186.03/30.56                 all_57_23) = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 186.03/30.56                 e3) = all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.03/30.56               & op(e1, e0) = e1 & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 186.03/30.56               $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 =
% 186.03/30.56                 e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 =
% 186.03/30.56                 e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) =
% 186.03/30.56               all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 186.03/30.56               all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 &
% 186.03/30.56               op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 186.03/30.56               $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 186.03/30.56               $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 186.03/30.56                   & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 186.03/30.56                     e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) =
% 186.03/30.56                   e0)))))
% 186.03/30.56    (6)  all_57_27 = all_26_1
% 186.03/30.56    (7)   ~ (all_26_1 = e0)
% 186.03/30.56    (8)  all_54_14 = all_26_1
% 186.03/30.56    (9)   ~ (all_26_1 = e3)
% 186.03/30.56    (10)  all_57_30 = e0
% 186.03/30.56    (11)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 186.03/30.56    (12)  op(e2, e1) = e3
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | BETA: splitting (5) gives:
% 186.03/30.56  | 
% 186.03/30.56  | Case 1:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (13)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.03/30.56  | |         (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 186.03/30.56  | |         (all_57_30 = e2) & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.03/30.56  | |         op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 186.03/30.56  | |         op(e1, e3) = all_57_22 & op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 186.03/30.56  | |         op(e1, e0) = all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 186.03/30.56  | |         $i(all_57_11) & $i(all_57_22) & $i(all_57_24) & $i(all_57_30)
% 186.03/30.56  | | 
% 186.03/30.56  | | ALPHA: (13) implies:
% 186.03/30.56  | |   (14)  op(e2, e1) = e1
% 186.03/30.56  | | 
% 186.03/30.56  | | REF_CLOSE: (3), (4), (12), (14) are inconsistent by sub-proof #1456.
% 186.03/30.56  | | 
% 186.03/30.56  | Case 2:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (15)  op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 186.03/30.56  | |             all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.03/30.56  | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 186.03/30.56  | |             op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.56  | |             op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 186.03/30.56  | |               e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 186.03/30.56  | |             $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.03/30.56  | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.03/30.56  | |             (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 186.03/30.56  | |             op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.03/30.56  | |             op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 186.03/30.56  | |             op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 186.03/30.56  | |             all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.03/30.56  | |             $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.03/30.56  | |             (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0)
% 186.03/30.56  | |                 = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0)
% 186.03/30.56  | |               | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))))
% 186.03/30.56  | | 
% 186.03/30.56  | | ALPHA: (15) implies:
% 186.03/30.56  | |   (16)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 186.03/30.56  | |           (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.03/30.56  | |           (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1,
% 186.03/30.56  | |             all_57_23) = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 186.03/30.56  | |             e3) = all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1) =
% 186.03/30.56  | |           all_57_30 & op(e1, e0) = e1 & $i(all_57_8) & $i(all_57_9) &
% 186.03/30.56  | |           $i(all_57_10) & $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | (
% 186.03/30.56  | |           ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) & 
% 186.03/30.56  | |           ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0,
% 186.03/30.56  | |             all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 186.03/30.56  | |             all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 186.03/30.56  | |           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13)
% 186.03/30.56  | |           & $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 186.03/30.56  | |           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 186.03/30.56  | |               & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 186.03/30.56  | |                 e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) =
% 186.03/30.56  | |               e0)))
% 186.03/30.56  | | 
% 186.03/30.56  | | REF_CLOSE: (1), (2), (4), (6), (7), (8), (9), (10), (11), (16) are
% 186.03/30.56  | |            inconsistent by sub-proof #1175.
% 186.03/30.56  | | 
% 186.03/30.56  | End of split
% 186.03/30.56  | 
% 186.03/30.56  End of proof
% 186.03/30.56  
% 186.03/30.56  Sub-proof #1175 shows that the following formulas are inconsistent:
% 186.03/30.56  ----------------------------------------------------------------
% 186.03/30.56    (1)   ~ (all_26_1 = e2)
% 186.03/30.56    (2)  op(e0, e1) = all_26_1
% 186.03/30.56    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.56    (4)  all_57_27 = all_26_1
% 186.03/30.56    (5)   ~ (all_26_1 = e0)
% 186.03/30.56    (6)  all_54_14 = all_26_1
% 186.03/30.56    (7)   ~ (all_26_1 = e3)
% 186.03/30.56    (8)  all_57_30 = e0
% 186.03/30.56    (9)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 186.03/30.56    (10)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8
% 186.03/30.56              = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 =
% 186.03/30.56              e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.56            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.03/30.56            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 186.03/30.56            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 186.03/30.56            $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 186.03/30.56            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 186.03/30.56            & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 186.03/30.56            op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 186.03/30.56            all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 186.03/30.56            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 186.03/30.56            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.03/30.56                op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 186.03/30.56                e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | BETA: splitting (10) gives:
% 186.03/30.56  | 
% 186.03/30.56  | Case 1:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (11)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 186.03/30.56  | |         (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.03/30.56  | |         (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23)
% 186.03/30.56  | |         = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22
% 186.03/30.56  | |         & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1
% 186.03/30.56  | |         & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.03/30.56  | |         $i(all_57_23) & $i(all_57_30)
% 186.03/30.56  | | 
% 186.03/30.56  | | ALPHA: (11) implies:
% 186.03/30.56  | |   (12)   ~ (all_57_30 = e0)
% 186.03/30.56  | | 
% 186.03/30.56  | | REDUCE: (8), (12) imply:
% 186.03/30.56  | |   (13)  $false
% 186.03/30.56  | | 
% 186.03/30.56  | | CLOSE: (13) is inconsistent.
% 186.03/30.56  | | 
% 186.03/30.56  | Case 2:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (14)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.03/30.56  | |         (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 186.03/30.56  | |         = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 186.03/30.56  | |         all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.03/30.56  | |           e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.03/30.56  | |         $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.03/30.56  | |         (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 186.03/30.56  | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.03/30.56  | |           (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 186.03/30.56  | | 
% 186.03/30.56  | | ALPHA: (14) implies:
% 186.03/30.56  | |   (15)   ~ (all_57_14 = e1)
% 186.03/30.56  | |   (16)  op(e0, all_57_27) = all_57_14
% 186.03/30.56  | | 
% 186.03/30.56  | | REDUCE: (4), (16) imply:
% 186.03/30.56  | |   (17)  op(e0, all_26_1) = all_57_14
% 186.03/30.56  | | 
% 186.03/30.56  | | BETA: splitting (9) gives:
% 186.03/30.56  | | 
% 186.03/30.56  | | Case 1:
% 186.03/30.56  | | | 
% 186.03/30.56  | | |   (18)  all_54_14 = e3
% 186.03/30.56  | | | 
% 186.03/30.56  | | | REF_CLOSE: (6), (7), (18) are inconsistent by sub-proof #1179.
% 186.03/30.56  | | | 
% 186.03/30.56  | | Case 2:
% 186.03/30.56  | | | 
% 186.03/30.56  | | |   (19)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 186.03/30.56  | | | 
% 186.03/30.56  | | | BETA: splitting (19) gives:
% 186.03/30.56  | | | 
% 186.03/30.56  | | | Case 1:
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | |   (20)  all_54_14 = e2
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | | REF_CLOSE: (1), (6), (20) are inconsistent by sub-proof #1178.
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | Case 2:
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | |   (21)  all_54_14 = e1 | all_54_14 = e0
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | | BETA: splitting (21) gives:
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | | Case 1:
% 186.03/30.56  | | | | | 
% 186.03/30.56  | | | | |   (22)  all_54_14 = e1
% 186.03/30.56  | | | | | 
% 186.03/30.56  | | | | | COMBINE_EQS: (6), (22) imply:
% 186.03/30.56  | | | | |   (23)  all_26_1 = e1
% 186.03/30.56  | | | | | 
% 186.03/30.56  | | | | | SIMP: (23) implies:
% 186.03/30.56  | | | | |   (24)  all_26_1 = e1
% 186.03/30.56  | | | | | 
% 186.03/30.56  | | | | | REDUCE: (17), (24) imply:
% 186.03/30.56  | | | | |   (25)  op(e0, e1) = all_57_14
% 186.03/30.56  | | | | | 
% 186.03/30.56  | | | | | REDUCE: (2), (24) imply:
% 186.03/30.56  | | | | |   (26)  op(e0, e1) = e1
% 186.03/30.56  | | | | | 
% 186.03/30.56  | | | | | REF_CLOSE: (3), (15), (25), (26) are inconsistent by sub-proof #1177.
% 186.03/30.56  | | | | | 
% 186.03/30.56  | | | | Case 2:
% 186.03/30.56  | | | | | 
% 186.03/30.56  | | | | |   (27)  all_54_14 = e0
% 186.03/30.56  | | | | | 
% 186.03/30.56  | | | | | REF_CLOSE: (5), (6), (27) are inconsistent by sub-proof #1176.
% 186.03/30.56  | | | | | 
% 186.03/30.56  | | | | End of split
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | End of split
% 186.03/30.56  | | | 
% 186.03/30.56  | | End of split
% 186.03/30.56  | | 
% 186.03/30.56  | End of split
% 186.03/30.56  | 
% 186.03/30.56  End of proof
% 186.03/30.56  
% 186.03/30.56  Sub-proof #1176 shows that the following formulas are inconsistent:
% 186.03/30.56  ----------------------------------------------------------------
% 186.03/30.56    (1)  all_54_14 = all_26_1
% 186.03/30.56    (2)  all_54_14 = e0
% 186.03/30.56    (3)   ~ (all_26_1 = e0)
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.56  |   (4)  all_26_1 = e0
% 186.03/30.56  | 
% 186.03/30.56  | SIMP: (4) implies:
% 186.03/30.56  |   (5)  all_26_1 = e0
% 186.03/30.56  | 
% 186.03/30.56  | REDUCE: (3), (5) imply:
% 186.03/30.56  |   (6)  $false
% 186.03/30.56  | 
% 186.03/30.56  | CLOSE: (6) is inconsistent.
% 186.03/30.56  | 
% 186.03/30.56  End of proof
% 186.03/30.56  
% 186.03/30.56  Sub-proof #1177 shows that the following formulas are inconsistent:
% 186.03/30.56  ----------------------------------------------------------------
% 186.03/30.56    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.56    (2)  op(e0, e1) = all_57_14
% 186.03/30.56    (3)  op(e0, e1) = e1
% 186.03/30.56    (4)   ~ (all_57_14 = e1)
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | GROUND_INST: instantiating (1) with e1, all_57_14, e1, e0, simplifying with
% 186.03/30.56  |              (2), (3) gives:
% 186.03/30.56  |   (5)  all_57_14 = e1
% 186.03/30.56  | 
% 186.03/30.56  | REDUCE: (4), (5) imply:
% 186.03/30.56  |   (6)  $false
% 186.03/30.56  | 
% 186.03/30.56  | CLOSE: (6) is inconsistent.
% 186.03/30.56  | 
% 186.03/30.56  End of proof
% 186.03/30.56  
% 186.03/30.56  Sub-proof #1178 shows that the following formulas are inconsistent:
% 186.03/30.56  ----------------------------------------------------------------
% 186.03/30.56    (1)  all_54_14 = all_26_1
% 186.03/30.56    (2)  all_54_14 = e2
% 186.03/30.56    (3)   ~ (all_26_1 = e2)
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.56  |   (4)  all_26_1 = e2
% 186.03/30.56  | 
% 186.03/30.56  | SIMP: (4) implies:
% 186.03/30.56  |   (5)  all_26_1 = e2
% 186.03/30.56  | 
% 186.03/30.56  | REDUCE: (3), (5) imply:
% 186.03/30.56  |   (6)  $false
% 186.03/30.56  | 
% 186.03/30.56  | CLOSE: (6) is inconsistent.
% 186.03/30.56  | 
% 186.03/30.56  End of proof
% 186.03/30.56  
% 186.03/30.56  Sub-proof #1179 shows that the following formulas are inconsistent:
% 186.03/30.56  ----------------------------------------------------------------
% 186.03/30.56    (1)  all_54_14 = all_26_1
% 186.03/30.56    (2)  all_54_14 = e3
% 186.03/30.56    (3)   ~ (all_26_1 = e3)
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.56  |   (4)  all_26_1 = e3
% 186.03/30.56  | 
% 186.03/30.56  | SIMP: (4) implies:
% 186.03/30.56  |   (5)  all_26_1 = e3
% 186.03/30.56  | 
% 186.03/30.56  | REDUCE: (3), (5) imply:
% 186.03/30.56  |   (6)  $false
% 186.03/30.56  | 
% 186.03/30.56  | CLOSE: (6) is inconsistent.
% 186.03/30.56  | 
% 186.03/30.56  End of proof
% 186.03/30.56  
% 186.03/30.56  Sub-proof #1180 shows that the following formulas are inconsistent:
% 186.03/30.56  ----------------------------------------------------------------
% 186.03/30.56    (1)   ~ (all_4_2 = e0)
% 186.03/30.56    (2)   ~ (e1 = e0)
% 186.03/30.56    (3)   ~ (e2 = e0)
% 186.03/30.56    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.56    (5)  all_56_12 = e2
% 186.03/30.56    (6)  op(e2, e3) = e2
% 186.03/30.56    (7)  op(e1, e3) = e1
% 186.03/30.56    (8)  op(e3, e3) = all_4_2
% 186.03/30.56    (9)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.56         (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | BETA: splitting (9) gives:
% 186.03/30.56  | 
% 186.03/30.56  | Case 1:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 186.03/30.56  | |           e0)
% 186.03/30.56  | | 
% 186.03/30.56  | | REF_CLOSE: (1), (3), (4), (6), (8), (10) are inconsistent by sub-proof
% 186.03/30.56  | |            #1181.
% 186.03/30.56  | | 
% 186.03/30.56  | Case 2:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (11)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 186.03/30.56  | |           e0)
% 186.03/30.56  | | 
% 186.03/30.56  | | REF_CLOSE: (2), (3), (4), (5), (7), (11) are inconsistent by sub-proof
% 186.03/30.56  | |            #1250.
% 186.03/30.56  | | 
% 186.03/30.56  | End of split
% 186.03/30.56  | 
% 186.03/30.56  End of proof
% 186.03/30.56  
% 186.03/30.56  Sub-proof #1181 shows that the following formulas are inconsistent:
% 186.03/30.56  ----------------------------------------------------------------
% 186.03/30.56    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 186.03/30.56    (2)   ~ (all_4_2 = e0)
% 186.03/30.56    (3)   ~ (e2 = e0)
% 186.03/30.56    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.56    (5)  op(e2, e3) = e2
% 186.03/30.56    (6)  op(e3, e3) = all_4_2
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | BETA: splitting (1) gives:
% 186.03/30.56  | 
% 186.03/30.56  | Case 1:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 186.03/30.56  | | 
% 186.03/30.56  | | ALPHA: (7) implies:
% 186.03/30.56  | |   (8)  op(e3, e3) = e0
% 186.03/30.56  | | 
% 186.03/30.56  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1624.
% 186.03/30.56  | | 
% 186.03/30.56  | Case 2:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (9)  all_56_2 = e0 & op(e2, e3) = e0
% 186.03/30.56  | | 
% 186.03/30.56  | | ALPHA: (9) implies:
% 186.03/30.56  | |   (10)  op(e2, e3) = e0
% 186.03/30.56  | | 
% 186.03/30.56  | | REF_CLOSE: (3), (4), (5), (10) are inconsistent by sub-proof #1412.
% 186.03/30.56  | | 
% 186.03/30.56  | End of split
% 186.03/30.56  | 
% 186.03/30.56  End of proof
% 186.03/30.56  
% 186.03/30.56  Sub-proof #1182 shows that the following formulas are inconsistent:
% 186.03/30.56  ----------------------------------------------------------------
% 186.03/30.56    (1)   ~ (all_52_14 = e0)
% 186.03/30.56    (2)   ~ (e1 = e0)
% 186.03/30.56    (3)  op(e1, e0) = all_52_14
% 186.03/30.56    (4)   ~ (e3 = e0)
% 186.03/30.56    (5)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) = e0) |
% 186.03/30.56         (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.56    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.56    (7)  all_56_10 = e1
% 186.03/30.56    (8)  op(e3, e0) = e3
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | BETA: splitting (5) gives:
% 186.03/30.56  | 
% 186.03/30.56  | Case 1:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (9)  all_56_9 = e0 & op(e3, e0) = e0
% 186.03/30.56  | | 
% 186.03/30.56  | | ALPHA: (9) implies:
% 186.03/30.56  | |   (10)  op(e3, e0) = e0
% 186.03/30.56  | | 
% 186.03/30.56  | | REF_CLOSE: (4), (6), (8), (10) are inconsistent by sub-proof #1189.
% 186.03/30.56  | | 
% 186.03/30.56  | Case 2:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (11)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 186.03/30.56  | |           e0)
% 186.03/30.56  | | 
% 186.03/30.56  | | REF_CLOSE: (1), (2), (3), (6), (7), (11) are inconsistent by sub-proof
% 186.03/30.56  | |            #1183.
% 186.03/30.56  | | 
% 186.03/30.56  | End of split
% 186.03/30.56  | 
% 186.03/30.56  End of proof
% 186.03/30.56  
% 186.03/30.56  Sub-proof #1183 shows that the following formulas are inconsistent:
% 186.03/30.56  ----------------------------------------------------------------
% 186.03/30.56    (1)   ~ (all_52_14 = e0)
% 186.03/30.56    (2)   ~ (e1 = e0)
% 186.03/30.56    (3)  op(e1, e0) = all_52_14
% 186.03/30.56    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.56    (5)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.56    (6)  all_56_10 = e1
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | BETA: splitting (5) gives:
% 186.03/30.56  | 
% 186.03/30.56  | Case 1:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (7)  all_56_10 = e0 & op(e2, e0) = e0
% 186.03/30.56  | | 
% 186.03/30.56  | | ALPHA: (7) implies:
% 186.03/30.56  | |   (8)  all_56_10 = e0
% 186.03/30.56  | | 
% 186.03/30.56  | | REF_CLOSE: (2), (6), (8) are inconsistent by sub-proof #1184.
% 186.03/30.56  | | 
% 186.03/30.56  | Case 2:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (9)  all_56_11 = e0 & op(e1, e0) = e0
% 186.03/30.56  | | 
% 186.03/30.56  | | ALPHA: (9) implies:
% 186.03/30.56  | |   (10)  op(e1, e0) = e0
% 186.03/30.56  | | 
% 186.03/30.56  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #1318.
% 186.03/30.56  | | 
% 186.03/30.56  | End of split
% 186.03/30.56  | 
% 186.03/30.56  End of proof
% 186.03/30.56  
% 186.03/30.56  Sub-proof #1184 shows that the following formulas are inconsistent:
% 186.03/30.56  ----------------------------------------------------------------
% 186.03/30.56    (1)  all_56_10 = e1
% 186.03/30.56    (2)  all_56_10 = e0
% 186.03/30.56    (3)   ~ (e1 = e0)
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.56  |   (4)  e1 = e0
% 186.03/30.56  | 
% 186.03/30.56  | SIMP: (4) implies:
% 186.03/30.56  |   (5)  e1 = e0
% 186.03/30.56  | 
% 186.03/30.56  | REDUCE: (3), (5) imply:
% 186.03/30.56  |   (6)  $false
% 186.03/30.56  | 
% 186.03/30.56  | CLOSE: (6) is inconsistent.
% 186.03/30.56  | 
% 186.03/30.56  End of proof
% 186.03/30.56  
% 186.03/30.56  Sub-proof #1185 shows that the following formulas are inconsistent:
% 186.03/30.56  ----------------------------------------------------------------
% 186.03/30.56    (1)  all_54_13 = all_52_7
% 186.03/30.56    (2)  all_54_13 = e2
% 186.03/30.56    (3)   ~ (all_52_7 = e2)
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.56  |   (4)  all_52_7 = e2
% 186.03/30.56  | 
% 186.03/30.56  | SIMP: (4) implies:
% 186.03/30.56  |   (5)  all_52_7 = e2
% 186.03/30.56  | 
% 186.03/30.56  | REDUCE: (3), (5) imply:
% 186.03/30.56  |   (6)  $false
% 186.03/30.56  | 
% 186.03/30.56  | CLOSE: (6) is inconsistent.
% 186.03/30.56  | 
% 186.03/30.56  End of proof
% 186.03/30.56  
% 186.03/30.56  Sub-proof #1186 shows that the following formulas are inconsistent:
% 186.03/30.56  ----------------------------------------------------------------
% 186.03/30.56    (1)   ~ (all_4_2 = e0)
% 186.03/30.56    (2)   ~ (e1 = e0)
% 186.03/30.56    (3)   ~ (e3 = e0)
% 186.03/30.56    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.03/30.56         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.56    (5)   ~ (e2 = e0)
% 186.03/30.56    (6)   ~ (e3 = e1)
% 186.03/30.56    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.56    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.03/30.56         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.56    (9)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.03/30.56         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.03/30.56    (10)   ~ (e3 = e2)
% 186.03/30.56    (11)  op(e3, e3) = e1
% 186.03/30.56    (12)  op(e3, e1) = all_52_8
% 186.03/30.56    (13)  op(e3, e3) = all_4_2
% 186.03/30.56    (14)  all_56_1 = e1
% 186.03/30.56    (15)   ~ (e2 = e1)
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | BETA: splitting (9) gives:
% 186.03/30.56  | 
% 186.03/30.56  | Case 1:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (16)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 186.03/30.56  | |           e2)
% 186.03/30.56  | | 
% 186.03/30.56  | | BETA: splitting (16) gives:
% 186.03/30.56  | | 
% 186.03/30.56  | | Case 1:
% 186.03/30.56  | | | 
% 186.03/30.56  | | |   (17)  all_56_0 = e2 & op(e3, e3) = e2
% 186.03/30.56  | | | 
% 186.03/30.56  | | | ALPHA: (17) implies:
% 186.03/30.56  | | |   (18)  op(e3, e3) = e2
% 186.03/30.56  | | | 
% 186.03/30.56  | | | REF_CLOSE: (7), (11), (15), (18) are inconsistent by sub-proof #1582.
% 186.03/30.56  | | | 
% 186.03/30.56  | | Case 2:
% 186.03/30.56  | | | 
% 186.03/30.56  | | |   (19)  all_56_1 = e2 & op(e3, e2) = e2
% 186.03/30.56  | | | 
% 186.03/30.56  | | | ALPHA: (19) implies:
% 186.03/30.56  | | |   (20)  all_56_1 = e2
% 186.03/30.56  | | | 
% 186.03/30.56  | | | REF_CLOSE: (14), (15), (20) are inconsistent by sub-proof #1396.
% 186.03/30.56  | | | 
% 186.03/30.56  | | End of split
% 186.03/30.56  | | 
% 186.03/30.56  | Case 2:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (21)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 186.03/30.56  | |           e2)
% 186.03/30.56  | | 
% 186.03/30.56  | | BETA: splitting (21) gives:
% 186.03/30.56  | | 
% 186.03/30.56  | | Case 1:
% 186.03/30.56  | | | 
% 186.03/30.56  | | |   (22)  all_56_4 = e2 & op(e3, e1) = e2
% 186.03/30.56  | | | 
% 186.03/30.56  | | | ALPHA: (22) implies:
% 186.03/30.56  | | |   (23)  all_56_4 = e2
% 186.03/30.56  | | | 
% 186.03/30.56  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (13), (14),
% 186.03/30.56  | | |            (23) are inconsistent by sub-proof #1187.
% 186.03/30.56  | | | 
% 186.03/30.56  | | Case 2:
% 186.03/30.56  | | | 
% 186.03/30.56  | | |   (24)  all_56_9 = e2 & op(e3, e0) = e2
% 186.03/30.56  | | | 
% 186.03/30.56  | | | ALPHA: (24) implies:
% 186.03/30.56  | | |   (25)  all_56_9 = e2
% 186.03/30.56  | | | 
% 186.03/30.56  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 186.03/30.56  | | |            (14), (25) are inconsistent by sub-proof #1398.
% 186.03/30.56  | | | 
% 186.03/30.56  | | End of split
% 186.03/30.56  | | 
% 186.03/30.56  | End of split
% 186.03/30.56  | 
% 186.03/30.56  End of proof
% 186.03/30.56  
% 186.03/30.56  Sub-proof #1187 shows that the following formulas are inconsistent:
% 186.03/30.56  ----------------------------------------------------------------
% 186.03/30.56    (1)   ~ (all_4_2 = e0)
% 186.03/30.56    (2)   ~ (e1 = e0)
% 186.03/30.56    (3)  all_56_4 = e2
% 186.03/30.56    (4)   ~ (e3 = e0)
% 186.03/30.56    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.03/30.56         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.56    (6)   ~ (e2 = e0)
% 186.03/30.56    (7)   ~ (e3 = e1)
% 186.03/30.56    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.56    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.03/30.56         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.56    (10)   ~ (e3 = e2)
% 186.03/30.56    (11)  op(e3, e3) = e1
% 186.03/30.56    (12)  op(e3, e3) = all_4_2
% 186.03/30.56    (13)  all_56_1 = e1
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | BETA: splitting (5) gives:
% 186.03/30.56  | 
% 186.03/30.56  | Case 1:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 186.03/30.56  | |           e0)
% 186.03/30.56  | | 
% 186.03/30.56  | | REF_CLOSE: (1), (2), (8), (12), (13), (14) are inconsistent by sub-proof
% 186.03/30.56  | |            #1580.
% 186.03/30.56  | | 
% 186.03/30.56  | Case 2:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (15)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 186.03/30.56  | |           e0)
% 186.03/30.56  | | 
% 186.03/30.56  | | BETA: splitting (15) gives:
% 186.03/30.56  | | 
% 186.03/30.56  | | Case 1:
% 186.03/30.56  | | | 
% 186.03/30.56  | | |   (16)  all_56_4 = e0 & op(e3, e1) = e0
% 186.03/30.56  | | | 
% 186.03/30.56  | | | REF_CLOSE: (3), (6), (16) are inconsistent by sub-proof #1190.
% 186.03/30.56  | | | 
% 186.03/30.56  | | Case 2:
% 186.03/30.56  | | | 
% 186.03/30.56  | | |   (17)  all_56_9 = e0 & op(e3, e0) = e0
% 186.03/30.56  | | | 
% 186.03/30.56  | | | ALPHA: (17) implies:
% 186.03/30.56  | | |   (18)  op(e3, e0) = e0
% 186.03/30.56  | | | 
% 186.03/30.56  | | | BETA: splitting (9) gives:
% 186.03/30.56  | | | 
% 186.03/30.56  | | | Case 1:
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | |   (19)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2)
% 186.03/30.56  | | | |           = e3)
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | | REF_CLOSE: (7), (8), (11), (13), (19) are inconsistent by sub-proof
% 186.03/30.56  | | | |            #1402.
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | Case 2:
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | |   (20)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0)
% 186.03/30.56  | | | |           = e3)
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | | REF_CLOSE: (3), (4), (8), (10), (18), (20) are inconsistent by sub-proof
% 186.03/30.56  | | | |            #1188.
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | End of split
% 186.03/30.56  | | | 
% 186.03/30.56  | | End of split
% 186.03/30.56  | | 
% 186.03/30.56  | End of split
% 186.03/30.56  | 
% 186.03/30.56  End of proof
% 186.03/30.56  
% 186.03/30.56  Sub-proof #1188 shows that the following formulas are inconsistent:
% 186.03/30.56  ----------------------------------------------------------------
% 186.03/30.56    (1)  all_56_4 = e2
% 186.03/30.56    (2)   ~ (e3 = e0)
% 186.03/30.56    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.56    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.03/30.56    (5)   ~ (e3 = e2)
% 186.03/30.56    (6)  op(e3, e0) = e0
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | BETA: splitting (4) gives:
% 186.03/30.56  | 
% 186.03/30.56  | Case 1:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (7)  all_56_4 = e3 & op(e3, e1) = e3
% 186.03/30.56  | | 
% 186.03/30.56  | | REF_CLOSE: (1), (5), (7) are inconsistent by sub-proof #1381.
% 186.03/30.56  | | 
% 186.03/30.56  | Case 2:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (8)  all_56_9 = e3 & op(e3, e0) = e3
% 186.03/30.56  | | 
% 186.03/30.56  | | ALPHA: (8) implies:
% 186.03/30.56  | |   (9)  op(e3, e0) = e3
% 186.03/30.56  | | 
% 186.03/30.56  | | REF_CLOSE: (2), (3), (6), (9) are inconsistent by sub-proof #1189.
% 186.03/30.56  | | 
% 186.03/30.56  | End of split
% 186.03/30.56  | 
% 186.03/30.56  End of proof
% 186.03/30.56  
% 186.03/30.56  Sub-proof #1189 shows that the following formulas are inconsistent:
% 186.03/30.56  ----------------------------------------------------------------
% 186.03/30.56    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.56    (2)  op(e3, e0) = e3
% 186.03/30.56    (3)  op(e3, e0) = e0
% 186.03/30.56    (4)   ~ (e3 = e0)
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | GROUND_INST: instantiating (1) with e0, e3, e0, e3, simplifying with (2), (3)
% 186.03/30.56  |              gives:
% 186.03/30.56  |   (5)  e3 = e0
% 186.03/30.56  | 
% 186.03/30.56  | REDUCE: (4), (5) imply:
% 186.03/30.56  |   (6)  $false
% 186.03/30.56  | 
% 186.03/30.56  | CLOSE: (6) is inconsistent.
% 186.03/30.56  | 
% 186.03/30.56  End of proof
% 186.03/30.56  
% 186.03/30.56  Sub-proof #1190 shows that the following formulas are inconsistent:
% 186.03/30.56  ----------------------------------------------------------------
% 186.03/30.56    (1)  all_56_4 = e0 & op(e3, e1) = e0
% 186.03/30.56    (2)  all_56_4 = e2
% 186.03/30.56    (3)   ~ (e2 = e0)
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | ALPHA: (1) implies:
% 186.03/30.56  |   (4)  all_56_4 = e0
% 186.03/30.56  | 
% 186.03/30.56  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.56  |   (5)  e2 = e0
% 186.03/30.56  | 
% 186.03/30.56  | REDUCE: (3), (5) imply:
% 186.03/30.56  |   (6)  $false
% 186.03/30.56  | 
% 186.03/30.56  | CLOSE: (6) is inconsistent.
% 186.03/30.56  | 
% 186.03/30.56  End of proof
% 186.03/30.56  
% 186.03/30.56  Sub-proof #1191 shows that the following formulas are inconsistent:
% 186.03/30.56  ----------------------------------------------------------------
% 186.03/30.56    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.56    (2)  op(e0, e0) = all_26_0
% 186.03/30.56    (3)  op(e0, e0) = e3
% 186.03/30.56    (4)   ~ (all_26_0 = e3)
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | GROUND_INST: instantiating (1) with e3, all_26_0, e0, e0, simplifying with
% 186.03/30.56  |              (2), (3) gives:
% 186.03/30.56  |   (5)  all_26_0 = e3
% 186.03/30.56  | 
% 186.03/30.56  | REDUCE: (4), (5) imply:
% 186.03/30.56  |   (6)  $false
% 186.03/30.56  | 
% 186.03/30.56  | CLOSE: (6) is inconsistent.
% 186.03/30.56  | 
% 186.03/30.56  End of proof
% 186.03/30.56  
% 186.03/30.56  Sub-proof #1192 shows that the following formulas are inconsistent:
% 186.03/30.56  ----------------------------------------------------------------
% 186.03/30.56    (1)   ~ (e1 = e0)
% 186.03/30.56    (2)   ~ (all_52_9 = e0)
% 186.03/30.56    (3)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.03/30.56         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.03/30.56    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.03/30.56         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.03/30.56    (5)  op(e2, e1) = all_52_9
% 186.03/30.56    (6)   ~ (e2 = e0)
% 186.03/30.56    (7)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.03/30.56         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 186.03/30.56    (8)   ~ (e3 = e1)
% 186.03/30.56    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.56           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.56    (10)  all_56_12 = e0
% 186.03/30.56    (11)  op(e2, e0) = all_52_13
% 186.03/30.56    (12)   ~ (e3 = e2)
% 186.03/30.56    (13)  op(e3, e3) = e3
% 186.03/30.56    (14)   ~ (all_52_13 = e0)
% 186.03/30.56    (15)   ~ (e2 = e1)
% 186.03/30.56    (16)  op(e0, e3) = e0
% 186.03/30.56    (17)  op(e2, e2) = e2
% 186.03/30.56  
% 186.03/30.56  Begin of proof
% 186.03/30.56  | 
% 186.03/30.56  | BETA: splitting (7) gives:
% 186.03/30.56  | 
% 186.03/30.56  | Case 1:
% 186.03/30.56  | | 
% 186.03/30.56  | |   (18)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 186.03/30.56  | |           e0)
% 186.03/30.56  | | 
% 186.03/30.56  | | BETA: splitting (18) gives:
% 186.03/30.56  | | 
% 186.03/30.56  | | Case 1:
% 186.03/30.56  | | | 
% 186.03/30.56  | | |   (19)  all_56_2 = e0 & op(e2, e3) = e0
% 186.03/30.56  | | | 
% 186.03/30.56  | | | ALPHA: (19) implies:
% 186.03/30.56  | | |   (20)  all_56_2 = e0
% 186.03/30.56  | | | 
% 186.03/30.56  | | | BETA: splitting (4) gives:
% 186.03/30.56  | | | 
% 186.03/30.56  | | | Case 1:
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | |   (21)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3)
% 186.03/30.56  | | | |           = e1)
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | | REF_CLOSE: (1), (8), (9), (13), (20), (21) are inconsistent by sub-proof
% 186.03/30.56  | | | |            #1216.
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | Case 2:
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | |   (22)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3)
% 186.03/30.56  | | | |           = e1)
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | | BETA: splitting (22) gives:
% 186.03/30.56  | | | | 
% 186.03/30.56  | | | | Case 1:
% 186.03/30.56  | | | | | 
% 186.03/30.56  | | | | |   (23)  all_56_6 = e1 & op(e1, e3) = e1
% 186.03/30.56  | | | | | 
% 186.03/30.56  | | | | | ALPHA: (23) implies:
% 186.03/30.56  | | | | |   (24)  all_56_6 = e1
% 186.03/30.56  | | | | | 
% 186.03/30.56  | | | | | BETA: splitting (3) gives:
% 186.03/30.56  | | | | | 
% 186.03/30.56  | | | | | Case 1:
% 186.03/30.56  | | | | | | 
% 186.03/30.56  | | | | | |   (25)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2,
% 186.03/30.56  | | | | | |             e3) = e2)
% 186.03/30.56  | | | | | | 
% 186.03/30.56  | | | | | | BETA: splitting (25) gives:
% 186.03/30.56  | | | | | | 
% 186.03/30.56  | | | | | | Case 1:
% 186.03/30.56  | | | | | | | 
% 186.03/30.56  | | | | | | |   (26)  all_56_0 = e2 & op(e3, e3) = e2
% 186.03/30.56  | | | | | | | 
% 186.03/30.56  | | | | | | | ALPHA: (26) implies:
% 186.03/30.56  | | | | | | |   (27)  op(e3, e3) = e2
% 186.03/30.56  | | | | | | | 
% 186.03/30.56  | | | | | | | REF_CLOSE: (9), (12), (13), (27) are inconsistent by sub-proof
% 186.03/30.56  | | | | | | |            #1594.
% 186.03/30.56  | | | | | | | 
% 186.03/30.56  | | | | | | Case 2:
% 186.03/30.56  | | | | | | | 
% 186.03/30.56  | | | | | | |   (28)  all_56_2 = e2 & op(e2, e3) = e2
% 186.03/30.56  | | | | | | | 
% 186.03/30.56  | | | | | | | ALPHA: (28) implies:
% 186.03/30.56  | | | | | | |   (29)  all_56_2 = e2
% 186.03/30.56  | | | | | | | 
% 186.03/30.56  | | | | | | | REF_CLOSE: (2), (5), (6), (7), (9), (11), (14), (17), (29) are
% 186.03/30.56  | | | | | | |            inconsistent by sub-proof #1194.
% 186.03/30.56  | | | | | | | 
% 186.03/30.56  | | | | | | End of split
% 186.03/30.56  | | | | | | 
% 186.03/30.56  | | | | | Case 2:
% 186.03/30.56  | | | | | | 
% 186.03/30.57  | | | | | |   (30)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0,
% 186.03/30.57  | | | | | |             e3) = e2)
% 186.03/30.57  | | | | | | 
% 186.03/30.57  | | | | | | BETA: splitting (30) gives:
% 186.03/30.57  | | | | | | 
% 186.03/30.57  | | | | | | Case 1:
% 186.03/30.57  | | | | | | | 
% 186.03/30.57  | | | | | | |   (31)  all_56_6 = e2 & op(e1, e3) = e2
% 186.03/30.57  | | | | | | | 
% 186.03/30.57  | | | | | | | REF_CLOSE: (15), (24), (31) are inconsistent by sub-proof #1193.
% 186.03/30.57  | | | | | | | 
% 186.03/30.57  | | | | | | Case 2:
% 186.03/30.57  | | | | | | | 
% 186.03/30.57  | | | | | | |   (32)  all_56_12 = e2 & op(e0, e3) = e2
% 186.03/30.57  | | | | | | | 
% 186.03/30.57  | | | | | | | ALPHA: (32) implies:
% 186.03/30.57  | | | | | | |   (33)  all_56_12 = e2
% 186.03/30.57  | | | | | | | 
% 186.03/30.57  | | | | | | | REF_CLOSE: (6), (10), (33) are inconsistent by sub-proof #1548.
% 186.03/30.57  | | | | | | | 
% 186.03/30.57  | | | | | | End of split
% 186.03/30.57  | | | | | | 
% 186.03/30.57  | | | | | End of split
% 186.03/30.57  | | | | | 
% 186.03/30.57  | | | | Case 2:
% 186.03/30.57  | | | | | 
% 186.03/30.57  | | | | |   (34)  all_56_12 = e1 & op(e0, e3) = e1
% 186.03/30.57  | | | | | 
% 186.03/30.57  | | | | | ALPHA: (34) implies:
% 186.03/30.57  | | | | |   (35)  op(e0, e3) = e1
% 186.03/30.57  | | | | | 
% 186.03/30.57  | | | | | REF_CLOSE: (1), (9), (16), (35) are inconsistent by sub-proof #1589.
% 186.03/30.57  | | | | | 
% 186.03/30.57  | | | | End of split
% 186.03/30.57  | | | | 
% 186.03/30.57  | | | End of split
% 186.03/30.57  | | | 
% 186.03/30.57  | | Case 2:
% 186.03/30.57  | | | 
% 186.03/30.57  | | |   (36)  all_56_3 = e0 & op(e2, e2) = e0
% 186.03/30.57  | | | 
% 186.03/30.57  | | | ALPHA: (36) implies:
% 186.03/30.57  | | |   (37)  op(e2, e2) = e0
% 186.03/30.57  | | | 
% 186.03/30.57  | | | REF_CLOSE: (6), (9), (17), (37) are inconsistent by sub-proof #1586.
% 186.03/30.57  | | | 
% 186.03/30.57  | | End of split
% 186.03/30.57  | | 
% 186.03/30.57  | Case 2:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (38)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 186.03/30.57  | |           e0)
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (2), (5), (9), (11), (14), (38) are inconsistent by sub-proof
% 186.03/30.57  | |            #1195.
% 186.03/30.57  | | 
% 186.03/30.57  | End of split
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1193 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  all_56_6 = e2 & op(e1, e3) = e2
% 186.03/30.57    (2)  all_56_6 = e1
% 186.03/30.57    (3)   ~ (e2 = e1)
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | ALPHA: (1) implies:
% 186.03/30.57  |   (4)  all_56_6 = e2
% 186.03/30.57  | 
% 186.03/30.57  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.57  |   (5)  e2 = e1
% 186.03/30.57  | 
% 186.03/30.57  | REDUCE: (3), (5) imply:
% 186.03/30.57  |   (6)  $false
% 186.03/30.57  | 
% 186.03/30.57  | CLOSE: (6) is inconsistent.
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1194 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)   ~ (all_52_9 = e0)
% 186.03/30.57    (2)  all_56_2 = e2
% 186.03/30.57    (3)  op(e2, e1) = all_52_9
% 186.03/30.57    (4)   ~ (e2 = e0)
% 186.03/30.57    (5)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.03/30.57         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 186.03/30.57    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.57    (7)  op(e2, e0) = all_52_13
% 186.03/30.57    (8)   ~ (all_52_13 = e0)
% 186.03/30.57    (9)  op(e2, e2) = e2
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | BETA: splitting (5) gives:
% 186.03/30.57  | 
% 186.03/30.57  | Case 1:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (10)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 186.03/30.57  | |           e0)
% 186.03/30.57  | | 
% 186.03/30.57  | | BETA: splitting (10) gives:
% 186.03/30.57  | | 
% 186.03/30.57  | | Case 1:
% 186.03/30.57  | | | 
% 186.03/30.57  | | |   (11)  all_56_2 = e0 & op(e2, e3) = e0
% 186.03/30.57  | | | 
% 186.03/30.57  | | | ALPHA: (11) implies:
% 186.03/30.57  | | |   (12)  all_56_2 = e0
% 186.03/30.57  | | | 
% 186.03/30.57  | | | REF_CLOSE: (2), (4), (12) are inconsistent by sub-proof #1196.
% 186.03/30.57  | | | 
% 186.03/30.57  | | Case 2:
% 186.03/30.57  | | | 
% 186.03/30.57  | | |   (13)  all_56_3 = e0 & op(e2, e2) = e0
% 186.03/30.57  | | | 
% 186.03/30.57  | | | ALPHA: (13) implies:
% 186.03/30.57  | | |   (14)  op(e2, e2) = e0
% 186.03/30.57  | | | 
% 186.03/30.57  | | | REF_CLOSE: (4), (6), (9), (14) are inconsistent by sub-proof #1586.
% 186.03/30.57  | | | 
% 186.03/30.57  | | End of split
% 186.03/30.57  | | 
% 186.03/30.57  | Case 2:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (15)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 186.03/30.57  | |           e0)
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (1), (3), (6), (7), (8), (15) are inconsistent by sub-proof
% 186.03/30.57  | |            #1195.
% 186.03/30.57  | | 
% 186.03/30.57  | End of split
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1195 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 186.03/30.57    (2)   ~ (all_52_9 = e0)
% 186.03/30.57    (3)  op(e2, e1) = all_52_9
% 186.03/30.57    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.57    (5)  op(e2, e0) = all_52_13
% 186.03/30.57    (6)   ~ (all_52_13 = e0)
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | BETA: splitting (1) gives:
% 186.03/30.57  | 
% 186.03/30.57  | Case 1:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (7)  all_56_5 = e0 & op(e2, e1) = e0
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #1476.
% 186.03/30.57  | | 
% 186.03/30.57  | Case 2:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (8)  all_56_10 = e0 & op(e2, e0) = e0
% 186.03/30.57  | | 
% 186.03/30.57  | | ALPHA: (8) implies:
% 186.03/30.57  | |   (9)  op(e2, e0) = e0
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (4), (5), (6), (9) are inconsistent by sub-proof #1504.
% 186.03/30.57  | | 
% 186.03/30.57  | End of split
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1196 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  all_56_2 = e2
% 186.03/30.57    (2)  all_56_2 = e0
% 186.03/30.57    (3)   ~ (e2 = e0)
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.57  |   (4)  e2 = e0
% 186.03/30.57  | 
% 186.03/30.57  | SIMP: (4) implies:
% 186.03/30.57  |   (5)  e2 = e0
% 186.03/30.57  | 
% 186.03/30.57  | REDUCE: (3), (5) imply:
% 186.03/30.57  |   (6)  $false
% 186.03/30.57  | 
% 186.03/30.57  | CLOSE: (6) is inconsistent.
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1197 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.57    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.57    (3)  op(e1, e3) = all_52_2
% 186.03/30.57    (4)   ~ (all_52_2 = e0)
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | ALPHA: (1) implies:
% 186.03/30.57  |   (5)  op(e1, e3) = e0
% 186.03/30.57  | 
% 186.03/30.57  | GROUND_INST: instantiating (2) with all_52_2, e0, e3, e1, simplifying with
% 186.03/30.57  |              (3), (5) gives:
% 186.03/30.57  |   (6)  all_52_2 = e0
% 186.03/30.57  | 
% 186.03/30.57  | REDUCE: (4), (6) imply:
% 186.03/30.57  |   (7)  $false
% 186.03/30.57  | 
% 186.03/30.57  | CLOSE: (7) is inconsistent.
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1198 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 186.03/30.57    (2)   ~ (all_52_6 = e0)
% 186.03/30.57    (3)   ~ (all_52_7 = e0)
% 186.03/30.57    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.57    (5)  op(e1, e2) = all_52_6
% 186.03/30.57    (6)  op(e0, e2) = all_52_7
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | BETA: splitting (1) gives:
% 186.03/30.57  | 
% 186.03/30.57  | Case 1:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (7)  all_56_7 = e0 & op(e1, e2) = e0
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #1199.
% 186.03/30.57  | | 
% 186.03/30.57  | Case 2:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (8)  all_56_13 = e0 & op(e0, e2) = e0
% 186.03/30.57  | | 
% 186.03/30.57  | | ALPHA: (8) implies:
% 186.03/30.57  | |   (9)  op(e0, e2) = e0
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (3), (4), (6), (9) are inconsistent by sub-proof #1463.
% 186.03/30.57  | | 
% 186.03/30.57  | End of split
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1199 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  all_56_7 = e0 & op(e1, e2) = e0
% 186.03/30.57    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.57    (3)  op(e1, e2) = all_52_6
% 186.03/30.57    (4)   ~ (all_52_6 = e0)
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | ALPHA: (1) implies:
% 186.03/30.57  |   (5)  op(e1, e2) = e0
% 186.03/30.57  | 
% 186.03/30.57  | GROUND_INST: instantiating (2) with all_52_6, e0, e2, e1, simplifying with
% 186.03/30.57  |              (3), (5) gives:
% 186.03/30.57  |   (6)  all_52_6 = e0
% 186.03/30.57  | 
% 186.03/30.57  | REDUCE: (4), (6) imply:
% 186.03/30.57  |   (7)  $false
% 186.03/30.57  | 
% 186.03/30.57  | CLOSE: (7) is inconsistent.
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1200 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  op(e0, e0) = all_6_2
% 186.03/30.57    (2)  all_56_11 = e3
% 186.03/30.57    (3)   ~ (all_6_2 = e2)
% 186.03/30.57    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.57    (5)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.03/30.57    (6)   ~ (e3 = e2)
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | BETA: splitting (5) gives:
% 186.03/30.57  | 
% 186.03/30.57  | Case 1:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (7)  all_56_11 = e2 & op(e1, e0) = e2
% 186.03/30.57  | | 
% 186.03/30.57  | | ALPHA: (7) implies:
% 186.03/30.57  | |   (8)  all_56_11 = e2
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (2), (6), (8) are inconsistent by sub-proof #1482.
% 186.03/30.57  | | 
% 186.03/30.57  | Case 2:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (9)  all_56_15 = e2 & op(e0, e0) = e2
% 186.03/30.57  | | 
% 186.03/30.57  | | ALPHA: (9) implies:
% 186.03/30.57  | |   (10)  op(e0, e0) = e2
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #1511.
% 186.03/30.57  | | 
% 186.03/30.57  | End of split
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1201 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  all_56_9 = e2
% 186.03/30.57    (2)   ~ (e1 = e0)
% 186.03/30.57    (3)   ~ (e3 = e0)
% 186.03/30.57    (4)  all_56_11 = e3
% 186.03/30.57    (5)   ~ (e2 = e0)
% 186.03/30.57    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.57    (7)  all_56_15 = e1
% 186.03/30.57    (8)  op(e2, e0) = all_52_13
% 186.03/30.57    (9)   ~ (all_52_13 = e0)
% 186.03/30.57    (10)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.57              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.57                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.03/30.57                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | BETA: splitting (10) gives:
% 186.03/30.57  | 
% 186.03/30.57  | Case 1:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (11)  all_56_15 = e0 & op(e0, e0) = e0
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (2), (7), (11) are inconsistent by sub-proof #1204.
% 186.03/30.57  | | 
% 186.03/30.57  | Case 2:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (12)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 186.03/30.57  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 186.03/30.57  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 186.03/30.57  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 186.03/30.57  | | 
% 186.03/30.57  | | ALPHA: (12) implies:
% 186.03/30.57  | |   (13)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 186.03/30.57  | |           e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.57  | | 
% 186.03/30.57  | | BETA: splitting (13) gives:
% 186.03/30.57  | | 
% 186.03/30.57  | | Case 1:
% 186.03/30.57  | | | 
% 186.03/30.57  | | |   (14)  all_56_9 = e0 & op(e3, e0) = e0
% 186.03/30.57  | | | 
% 186.03/30.57  | | | REF_CLOSE: (1), (5), (14) are inconsistent by sub-proof #1574.
% 186.03/30.57  | | | 
% 186.03/30.57  | | Case 2:
% 186.03/30.57  | | | 
% 186.03/30.57  | | |   (15)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.57  | | |           = e0)
% 186.03/30.57  | | | 
% 186.03/30.57  | | | REF_CLOSE: (3), (4), (6), (8), (9), (15) are inconsistent by sub-proof
% 186.03/30.57  | | |            #1202.
% 186.03/30.57  | | | 
% 186.03/30.57  | | End of split
% 186.03/30.57  | | 
% 186.03/30.57  | End of split
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1202 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)   ~ (e3 = e0)
% 186.03/30.57    (2)  all_56_11 = e3
% 186.03/30.57    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.57    (4)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.57    (5)  op(e2, e0) = all_52_13
% 186.03/30.57    (6)   ~ (all_52_13 = e0)
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | BETA: splitting (4) gives:
% 186.03/30.57  | 
% 186.03/30.57  | Case 1:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (7)  all_56_10 = e0 & op(e2, e0) = e0
% 186.03/30.57  | | 
% 186.03/30.57  | | ALPHA: (7) implies:
% 186.03/30.57  | |   (8)  op(e2, e0) = e0
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1504.
% 186.03/30.57  | | 
% 186.03/30.57  | Case 2:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (9)  all_56_11 = e0 & op(e1, e0) = e0
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (1), (2), (9) are inconsistent by sub-proof #1203.
% 186.03/30.57  | | 
% 186.03/30.57  | End of split
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1203 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  all_56_11 = e0 & op(e1, e0) = e0
% 186.03/30.57    (2)  all_56_11 = e3
% 186.03/30.57    (3)   ~ (e3 = e0)
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | ALPHA: (1) implies:
% 186.03/30.57  |   (4)  all_56_11 = e0
% 186.03/30.57  | 
% 186.03/30.57  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.57  |   (5)  e3 = e0
% 186.03/30.57  | 
% 186.03/30.57  | REDUCE: (3), (5) imply:
% 186.03/30.57  |   (6)  $false
% 186.03/30.57  | 
% 186.03/30.57  | CLOSE: (6) is inconsistent.
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1204 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  all_56_15 = e0 & op(e0, e0) = e0
% 186.03/30.57    (2)  all_56_15 = e1
% 186.03/30.57    (3)   ~ (e1 = e0)
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | ALPHA: (1) implies:
% 186.03/30.57  |   (4)  all_56_15 = e0
% 186.03/30.57  | 
% 186.03/30.57  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.57  |   (5)  e1 = e0
% 186.03/30.57  | 
% 186.03/30.57  | SIMP: (5) implies:
% 186.03/30.57  |   (6)  e1 = e0
% 186.03/30.57  | 
% 186.03/30.57  | REDUCE: (3), (6) imply:
% 186.03/30.57  |   (7)  $false
% 186.03/30.57  | 
% 186.03/30.57  | CLOSE: (7) is inconsistent.
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1205 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  all_56_9 = e2
% 186.03/30.57    (2)   ~ (e1 = e0)
% 186.03/30.57    (3)   ~ (e3 = e0)
% 186.03/30.57    (4)   ~ (e2 = e0)
% 186.03/30.57    (5)   ~ (e3 = e1)
% 186.03/30.57    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.57    (7)  op(e2, e0) = all_52_13
% 186.03/30.57    (8)   ~ (e3 = e2)
% 186.03/30.57    (9)  all_56_10 = e1
% 186.03/30.57    (10)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 186.03/30.57          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 186.03/30.57    (11)   ~ (all_52_13 = e0)
% 186.03/30.57    (12)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.57              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.57                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.03/30.57                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.03/30.57    (13)  all_56_11 = e1
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | BETA: splitting (10) gives:
% 186.03/30.57  | 
% 186.03/30.57  | Case 1:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (14)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 186.03/30.57  | |           e3)
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (1), (5), (8), (9), (14) are inconsistent by sub-proof #1210.
% 186.03/30.57  | | 
% 186.03/30.57  | Case 2:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (15)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.03/30.57  | |           e3)
% 186.03/30.57  | | 
% 186.03/30.57  | | BETA: splitting (15) gives:
% 186.03/30.57  | | 
% 186.03/30.57  | | Case 1:
% 186.03/30.57  | | | 
% 186.03/30.57  | | |   (16)  all_56_11 = e3 & op(e1, e0) = e3
% 186.03/30.57  | | | 
% 186.03/30.57  | | | ALPHA: (16) implies:
% 186.03/30.57  | | |   (17)  all_56_11 = e3
% 186.03/30.57  | | | 
% 186.03/30.57  | | | REF_CLOSE: (5), (13), (17) are inconsistent by sub-proof #1209.
% 186.03/30.57  | | | 
% 186.03/30.57  | | Case 2:
% 186.03/30.57  | | | 
% 186.03/30.57  | | |   (18)  all_56_15 = e3 & op(e0, e0) = e3
% 186.03/30.57  | | | 
% 186.03/30.57  | | | ALPHA: (18) implies:
% 186.03/30.57  | | |   (19)  all_56_15 = e3
% 186.03/30.57  | | | 
% 186.03/30.57  | | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (11), (12), (13), (19) are
% 186.03/30.57  | | |            inconsistent by sub-proof #1206.
% 186.03/30.57  | | | 
% 186.03/30.57  | | End of split
% 186.03/30.57  | | 
% 186.03/30.57  | End of split
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1206 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  all_56_9 = e2
% 186.03/30.57    (2)   ~ (e1 = e0)
% 186.03/30.57    (3)  all_56_15 = e3
% 186.03/30.57    (4)   ~ (e3 = e0)
% 186.03/30.57    (5)   ~ (e2 = e0)
% 186.03/30.57    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.57    (7)  op(e2, e0) = all_52_13
% 186.03/30.57    (8)   ~ (all_52_13 = e0)
% 186.03/30.57    (9)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.03/30.57             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 186.03/30.57               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.03/30.57               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.03/30.57    (10)  all_56_11 = e1
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | BETA: splitting (9) gives:
% 186.03/30.57  | 
% 186.03/30.57  | Case 1:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (11)  all_56_15 = e0 & op(e0, e0) = e0
% 186.03/30.57  | | 
% 186.03/30.57  | | ALPHA: (11) implies:
% 186.03/30.57  | |   (12)  all_56_15 = e0
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (3), (4), (12) are inconsistent by sub-proof #1208.
% 186.03/30.57  | | 
% 186.03/30.57  | Case 2:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (13)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 186.03/30.57  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 186.03/30.57  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 186.03/30.57  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 186.03/30.57  | | 
% 186.03/30.57  | | ALPHA: (13) implies:
% 186.03/30.57  | |   (14)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 186.03/30.57  | |           e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.03/30.57  | | 
% 186.03/30.57  | | BETA: splitting (14) gives:
% 186.03/30.57  | | 
% 186.03/30.57  | | Case 1:
% 186.03/30.57  | | | 
% 186.03/30.57  | | |   (15)  all_56_9 = e0 & op(e3, e0) = e0
% 186.03/30.57  | | | 
% 186.03/30.57  | | | REF_CLOSE: (1), (5), (15) are inconsistent by sub-proof #1574.
% 186.03/30.57  | | | 
% 186.03/30.57  | | Case 2:
% 186.03/30.57  | | | 
% 186.03/30.57  | | |   (16)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.03/30.57  | | |           = e0)
% 186.03/30.57  | | | 
% 186.03/30.57  | | | BETA: splitting (16) gives:
% 186.03/30.57  | | | 
% 186.03/30.57  | | | Case 1:
% 186.03/30.57  | | | | 
% 186.03/30.57  | | | |   (17)  all_56_10 = e0 & op(e2, e0) = e0
% 186.03/30.57  | | | | 
% 186.03/30.57  | | | | ALPHA: (17) implies:
% 186.03/30.57  | | | |   (18)  op(e2, e0) = e0
% 186.03/30.57  | | | | 
% 186.03/30.57  | | | | REF_CLOSE: (6), (7), (8), (18) are inconsistent by sub-proof #1504.
% 186.03/30.57  | | | | 
% 186.03/30.57  | | | Case 2:
% 186.03/30.57  | | | | 
% 186.03/30.57  | | | |   (19)  all_56_11 = e0 & op(e1, e0) = e0
% 186.03/30.57  | | | | 
% 186.03/30.57  | | | | REF_CLOSE: (2), (10), (19) are inconsistent by sub-proof #1207.
% 186.03/30.57  | | | | 
% 186.03/30.57  | | | End of split
% 186.03/30.57  | | | 
% 186.03/30.57  | | End of split
% 186.03/30.57  | | 
% 186.03/30.57  | End of split
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1207 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  all_56_11 = e0 & op(e1, e0) = e0
% 186.03/30.57    (2)  all_56_11 = e1
% 186.03/30.57    (3)   ~ (e1 = e0)
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | ALPHA: (1) implies:
% 186.03/30.57  |   (4)  all_56_11 = e0
% 186.03/30.57  | 
% 186.03/30.57  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.57  |   (5)  e1 = e0
% 186.03/30.57  | 
% 186.03/30.57  | REDUCE: (3), (5) imply:
% 186.03/30.57  |   (6)  $false
% 186.03/30.57  | 
% 186.03/30.57  | CLOSE: (6) is inconsistent.
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1208 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  all_56_15 = e3
% 186.03/30.57    (2)  all_56_15 = e0
% 186.03/30.57    (3)   ~ (e3 = e0)
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.57  |   (4)  e3 = e0
% 186.03/30.57  | 
% 186.03/30.57  | SIMP: (4) implies:
% 186.03/30.57  |   (5)  e3 = e0
% 186.03/30.57  | 
% 186.03/30.57  | REDUCE: (3), (5) imply:
% 186.03/30.57  |   (6)  $false
% 186.03/30.57  | 
% 186.03/30.57  | CLOSE: (6) is inconsistent.
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1209 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  all_56_11 = e3
% 186.03/30.57    (2)  all_56_11 = e1
% 186.03/30.57    (3)   ~ (e3 = e1)
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.57  |   (4)  e3 = e1
% 186.03/30.57  | 
% 186.03/30.57  | SIMP: (4) implies:
% 186.03/30.57  |   (5)  e3 = e1
% 186.03/30.57  | 
% 186.03/30.57  | REDUCE: (3), (5) imply:
% 186.03/30.57  |   (6)  $false
% 186.03/30.57  | 
% 186.03/30.57  | CLOSE: (6) is inconsistent.
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1210 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  all_56_9 = e2
% 186.03/30.57    (2)   ~ (e3 = e1)
% 186.03/30.57    (3)   ~ (e3 = e2)
% 186.03/30.57    (4)  all_56_10 = e1
% 186.03/30.57    (5)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | BETA: splitting (5) gives:
% 186.03/30.57  | 
% 186.03/30.57  | Case 1:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (6)  all_56_9 = e3 & op(e3, e0) = e3
% 186.03/30.57  | | 
% 186.03/30.57  | | ALPHA: (6) implies:
% 186.03/30.57  | |   (7)  all_56_9 = e3
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (1), (3), (7) are inconsistent by sub-proof #1576.
% 186.03/30.57  | | 
% 186.03/30.57  | Case 2:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (8)  all_56_10 = e3 & op(e2, e0) = e3
% 186.03/30.57  | | 
% 186.03/30.57  | | ALPHA: (8) implies:
% 186.03/30.57  | |   (9)  all_56_10 = e3
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #1489.
% 186.03/30.57  | | 
% 186.03/30.57  | End of split
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1211 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)   ~ (all_52_14 = e0)
% 186.03/30.57    (2)   ~ (e1 = e0)
% 186.03/30.57    (3)  op(e1, e0) = all_52_14
% 186.03/30.57    (4)  op(e0, e3) = e1
% 186.03/30.57    (5)   ~ (all_52_14 = e1)
% 186.03/30.57    (6)   ~ (e3 = e1)
% 186.03/30.57    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.57    (8)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 =
% 186.03/30.57             e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2)
% 186.03/30.57           & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) =
% 186.03/30.57           all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 186.03/30.57           op(e1, e2) = e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 &
% 186.03/30.57           $i(all_57_8) & $i(all_57_10) & $i(all_57_11) & $i(all_57_22) &
% 186.03/30.57           $i(all_57_24) & $i(all_57_30)) | (op(e0, e1) = all_57_27 &
% 186.03/30.57           $i(all_57_27) & ((all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 =
% 186.03/30.57               e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.03/30.57               &  ~ (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1,
% 186.03/30.57                 all_57_23) = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 186.03/30.57                 e3) = all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.03/30.57               & op(e1, e0) = e1 & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 186.03/30.57               $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 =
% 186.03/30.57                 e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 =
% 186.03/30.57                 e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) =
% 186.03/30.57               all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 186.03/30.57               all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 &
% 186.03/30.57               op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 186.03/30.57               $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 186.03/30.57               $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 186.03/30.57                   & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 186.03/30.57                     e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) =
% 186.03/30.57                   e0)))))
% 186.03/30.57    (9)  op(e2, e0) = all_52_13
% 186.03/30.57    (10)  op(e2, e1) = e3
% 186.03/30.57    (11)   ~ (all_52_13 = e0)
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | BETA: splitting (8) gives:
% 186.03/30.57  | 
% 186.03/30.57  | Case 1:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (12)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.03/30.57  | |         (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 186.03/30.57  | |         (all_57_30 = e2) & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.03/30.57  | |         op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 186.03/30.57  | |         op(e1, e3) = all_57_22 & op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 186.03/30.57  | |         op(e1, e0) = all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 186.03/30.57  | |         $i(all_57_11) & $i(all_57_22) & $i(all_57_24) & $i(all_57_30)
% 186.03/30.57  | | 
% 186.03/30.57  | | ALPHA: (12) implies:
% 186.03/30.57  | |   (13)  op(e2, e1) = e1
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (6), (7), (10), (13) are inconsistent by sub-proof #1456.
% 186.03/30.57  | | 
% 186.03/30.57  | Case 2:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (14)  op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 186.03/30.57  | |             all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.03/30.57  | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 186.03/30.57  | |             op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.03/30.57  | |             op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 186.03/30.57  | |               e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 186.03/30.57  | |             $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.03/30.57  | |             $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.03/30.57  | |             (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 186.03/30.57  | |             op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.03/30.57  | |             op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 186.03/30.57  | |             op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 186.03/30.57  | |             all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.03/30.57  | |             $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.03/30.57  | |             (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0)
% 186.03/30.57  | |                 = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0)
% 186.03/30.57  | |               | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))))
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (11), (14) are inconsistent by
% 186.03/30.57  | |            sub-proof #1315.
% 186.03/30.57  | | 
% 186.03/30.57  | End of split
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1212 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  op(e0, e0) = all_6_2
% 186.03/30.57    (2)  all_56_9 = e2
% 186.03/30.57    (3)  op(e2, e1) = e2
% 186.03/30.57    (4)   ~ (all_6_2 = e1)
% 186.03/30.57    (5)  op(e1, e0) = all_52_14
% 186.03/30.57    (6)   ~ (e3 = e0)
% 186.03/30.57    (7)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 186.03/30.57         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.03/30.57    (8)   ~ (all_52_14 = e1)
% 186.03/30.57    (9)   ~ (e3 = e1)
% 186.03/30.57    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.57            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.57    (11)   ~ (e3 = e2)
% 186.03/30.57    (12)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 186.03/30.57          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 186.03/30.57    (13)  op(e2, e3) = e0
% 186.03/30.57    (14)   ~ (e2 = e1)
% 186.03/30.57    (15)  op(e2, e2) = e2
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | BETA: splitting (12) gives:
% 186.03/30.57  | 
% 186.03/30.57  | Case 1:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (16)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 186.03/30.57  | |           e3)
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (6), (10), (11), (13), (15), (16) are inconsistent by sub-proof
% 186.03/30.57  | |            #1217.
% 186.03/30.57  | | 
% 186.03/30.57  | Case 2:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (17)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 186.03/30.57  | |           e3)
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (14), (17)
% 186.03/30.57  | |            are inconsistent by sub-proof #1213.
% 186.03/30.57  | | 
% 186.03/30.57  | End of split
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1213 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  op(e0, e0) = all_6_2
% 186.03/30.57    (2)  all_56_9 = e2
% 186.03/30.57    (3)  op(e2, e1) = e2
% 186.03/30.57    (4)   ~ (all_6_2 = e1)
% 186.03/30.57    (5)  op(e1, e0) = all_52_14
% 186.03/30.57    (6)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 186.03/30.57         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.03/30.57    (7)   ~ (all_52_14 = e1)
% 186.03/30.57    (8)   ~ (e3 = e1)
% 186.03/30.57    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.57    (10)   ~ (e3 = e2)
% 186.03/30.57    (11)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 186.03/30.57    (12)   ~ (e2 = e1)
% 186.03/30.57  
% 186.03/30.57  Begin of proof
% 186.03/30.57  | 
% 186.03/30.57  | BETA: splitting (11) gives:
% 186.03/30.57  | 
% 186.03/30.57  | Case 1:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (13)  all_56_5 = e3 & op(e2, e1) = e3
% 186.03/30.57  | | 
% 186.03/30.57  | | ALPHA: (13) implies:
% 186.03/30.57  | |   (14)  op(e2, e1) = e3
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (3), (9), (10), (14) are inconsistent by sub-proof #1297.
% 186.03/30.57  | | 
% 186.03/30.57  | Case 2:
% 186.03/30.57  | | 
% 186.03/30.57  | |   (15)  all_56_10 = e3 & op(e2, e0) = e3
% 186.03/30.57  | | 
% 186.03/30.57  | | ALPHA: (15) implies:
% 186.03/30.57  | |   (16)  all_56_10 = e3
% 186.03/30.57  | | 
% 186.03/30.57  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (12), (16) are
% 186.03/30.57  | |            inconsistent by sub-proof #1359.
% 186.03/30.57  | | 
% 186.03/30.57  | End of split
% 186.03/30.57  | 
% 186.03/30.57  End of proof
% 186.03/30.57  
% 186.03/30.57  Sub-proof #1214 shows that the following formulas are inconsistent:
% 186.03/30.57  ----------------------------------------------------------------
% 186.03/30.57    (1)  all_56_11 = e3
% 186.03/30.57    (2)   ~ (e2 = e0)
% 186.03/30.57    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.57           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.57    (4)   ~ (all_52_6 = e2)
% 186.03/30.57    (5)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 186.03/30.57         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 186.03/30.57    (6)   ~ (e3 = e2)
% 186.03/30.58    (7)  op(e1, e1) = e0
% 186.03/30.58    (8)  op(e1, e2) = all_52_6
% 186.03/30.58    (9)   ~ (e2 = e1)
% 186.03/30.58    (10)  all_56_6 = e1
% 186.03/30.58  
% 186.03/30.58  Begin of proof
% 186.03/30.58  | 
% 186.03/30.58  | BETA: splitting (5) gives:
% 186.03/30.58  | 
% 186.03/30.58  | Case 1:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (11)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 186.03/30.58  | |           e2)
% 186.03/30.58  | | 
% 186.03/30.58  | | BETA: splitting (11) gives:
% 186.03/30.58  | | 
% 186.03/30.58  | | Case 1:
% 186.03/30.58  | | | 
% 186.03/30.58  | | |   (12)  all_56_6 = e2 & op(e1, e3) = e2
% 186.03/30.58  | | | 
% 186.03/30.58  | | | ALPHA: (12) implies:
% 186.03/30.58  | | |   (13)  all_56_6 = e2
% 186.03/30.58  | | | 
% 186.03/30.58  | | | REF_CLOSE: (9), (10), (13) are inconsistent by sub-proof #1215.
% 186.03/30.58  | | | 
% 186.03/30.58  | | Case 2:
% 186.03/30.58  | | | 
% 186.03/30.58  | | |   (14)  all_56_7 = e2 & op(e1, e2) = e2
% 186.03/30.58  | | | 
% 186.03/30.58  | | | ALPHA: (14) implies:
% 186.03/30.58  | | |   (15)  op(e1, e2) = e2
% 186.03/30.58  | | | 
% 186.03/30.58  | | | REF_CLOSE: (3), (4), (8), (15) are inconsistent by sub-proof #1614.
% 186.03/30.58  | | | 
% 186.03/30.58  | | End of split
% 186.03/30.58  | | 
% 186.03/30.58  | Case 2:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (16)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 186.03/30.58  | |           e2)
% 186.03/30.58  | | 
% 186.03/30.58  | | BETA: splitting (16) gives:
% 186.03/30.58  | | 
% 186.03/30.58  | | Case 1:
% 186.03/30.58  | | | 
% 186.03/30.58  | | |   (17)  all_56_8 = e2 & op(e1, e1) = e2
% 186.03/30.58  | | | 
% 186.03/30.58  | | | ALPHA: (17) implies:
% 186.03/30.58  | | |   (18)  op(e1, e1) = e2
% 186.03/30.58  | | | 
% 186.03/30.58  | | | REF_CLOSE: (2), (3), (7), (18) are inconsistent by sub-proof #1230.
% 186.03/30.58  | | | 
% 186.03/30.58  | | Case 2:
% 186.03/30.58  | | | 
% 186.03/30.58  | | |   (19)  all_56_11 = e2 & op(e1, e0) = e2
% 186.03/30.58  | | | 
% 186.03/30.58  | | | ALPHA: (19) implies:
% 186.03/30.58  | | |   (20)  all_56_11 = e2
% 186.03/30.58  | | | 
% 186.03/30.58  | | | REF_CLOSE: (1), (6), (20) are inconsistent by sub-proof #1482.
% 186.03/30.58  | | | 
% 186.03/30.58  | | End of split
% 186.03/30.58  | | 
% 186.03/30.58  | End of split
% 186.03/30.58  | 
% 186.03/30.58  End of proof
% 186.03/30.58  
% 186.03/30.58  Sub-proof #1215 shows that the following formulas are inconsistent:
% 186.03/30.58  ----------------------------------------------------------------
% 186.03/30.58    (1)  all_56_6 = e2
% 186.03/30.58    (2)  all_56_6 = e1
% 186.03/30.58    (3)   ~ (e2 = e1)
% 186.03/30.58  
% 186.03/30.58  Begin of proof
% 186.03/30.58  | 
% 186.03/30.58  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.58  |   (4)  e2 = e1
% 186.03/30.58  | 
% 186.03/30.58  | SIMP: (4) implies:
% 186.03/30.58  |   (5)  e2 = e1
% 186.03/30.58  | 
% 186.03/30.58  | REDUCE: (3), (5) imply:
% 186.03/30.58  |   (6)  $false
% 186.03/30.58  | 
% 186.03/30.58  | CLOSE: (6) is inconsistent.
% 186.03/30.58  | 
% 186.03/30.58  End of proof
% 186.03/30.58  
% 186.03/30.58  Sub-proof #1216 shows that the following formulas are inconsistent:
% 186.03/30.58  ----------------------------------------------------------------
% 186.03/30.58    (1)   ~ (e1 = e0)
% 186.03/30.58    (2)  all_56_2 = e0
% 186.03/30.58    (3)   ~ (e3 = e1)
% 186.03/30.58    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.58    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 186.03/30.58    (6)  op(e3, e3) = e3
% 186.03/30.58  
% 186.03/30.58  Begin of proof
% 186.03/30.58  | 
% 186.03/30.58  | BETA: splitting (5) gives:
% 186.03/30.58  | 
% 186.03/30.58  | Case 1:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 186.03/30.58  | | 
% 186.03/30.58  | | ALPHA: (7) implies:
% 186.03/30.58  | |   (8)  op(e3, e3) = e1
% 186.03/30.58  | | 
% 186.03/30.58  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #1600.
% 186.03/30.58  | | 
% 186.03/30.58  | Case 2:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (9)  all_56_2 = e1 & op(e2, e3) = e1
% 186.03/30.58  | | 
% 186.03/30.58  | | ALPHA: (9) implies:
% 186.03/30.58  | |   (10)  all_56_2 = e1
% 186.03/30.58  | | 
% 186.03/30.58  | | REF_CLOSE: (1), (2), (10) are inconsistent by sub-proof #1535.
% 186.03/30.58  | | 
% 186.03/30.58  | End of split
% 186.03/30.58  | 
% 186.03/30.58  End of proof
% 186.03/30.58  
% 186.03/30.58  Sub-proof #1217 shows that the following formulas are inconsistent:
% 186.03/30.58  ----------------------------------------------------------------
% 186.03/30.58    (1)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 186.03/30.58    (2)   ~ (e3 = e0)
% 186.03/30.58    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.58    (4)   ~ (e3 = e2)
% 186.03/30.58    (5)  op(e2, e3) = e0
% 186.03/30.58    (6)  op(e2, e2) = e2
% 186.03/30.58  
% 186.03/30.58  Begin of proof
% 186.03/30.58  | 
% 186.03/30.58  | BETA: splitting (1) gives:
% 186.03/30.58  | 
% 186.03/30.58  | Case 1:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (7)  all_56_2 = e3 & op(e2, e3) = e3
% 186.03/30.58  | | 
% 186.03/30.58  | | ALPHA: (7) implies:
% 186.03/30.58  | |   (8)  op(e2, e3) = e3
% 186.03/30.58  | | 
% 186.03/30.58  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1596.
% 186.03/30.58  | | 
% 186.03/30.58  | Case 2:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (9)  all_56_3 = e3 & op(e2, e2) = e3
% 186.03/30.58  | | 
% 186.03/30.58  | | ALPHA: (9) implies:
% 186.03/30.58  | |   (10)  op(e2, e2) = e3
% 186.03/30.58  | | 
% 186.03/30.58  | | REF_CLOSE: (3), (4), (6), (10) are inconsistent by sub-proof #1602.
% 186.03/30.58  | | 
% 186.03/30.58  | End of split
% 186.03/30.58  | 
% 186.03/30.58  End of proof
% 186.03/30.58  
% 186.03/30.58  Sub-proof #1218 shows that the following formulas are inconsistent:
% 186.03/30.58  ----------------------------------------------------------------
% 186.03/30.58    (1)   ~ (all_52_6 = e0)
% 186.03/30.58    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.58    (3)  all_54_9 = all_52_6
% 186.03/30.58    (4)  op(e1, e2) = e3
% 186.03/30.58    (5)  op(e1, e2) = all_52_6
% 186.03/30.58    (6)   ~ (all_52_6 = e3)
% 186.03/30.58    (7)  all_54_9 = e1 | all_54_9 = e0
% 186.03/30.58  
% 186.03/30.58  Begin of proof
% 186.03/30.58  | 
% 186.03/30.58  | BETA: splitting (7) gives:
% 186.03/30.58  | 
% 186.03/30.58  | Case 1:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (8)  all_54_9 = e1
% 186.03/30.58  | | 
% 186.03/30.58  | | COMBINE_EQS: (3), (8) imply:
% 186.03/30.58  | |   (9)  all_52_6 = e1
% 186.03/30.58  | | 
% 186.03/30.58  | | SIMP: (9) implies:
% 186.03/30.58  | |   (10)  all_52_6 = e1
% 186.03/30.58  | | 
% 186.03/30.58  | | REDUCE: (6), (10) imply:
% 186.03/30.58  | |   (11)   ~ (e3 = e1)
% 186.03/30.58  | | 
% 186.03/30.58  | | SIMP: (11) implies:
% 186.03/30.58  | |   (12)   ~ (e3 = e1)
% 186.03/30.58  | | 
% 186.03/30.58  | | REDUCE: (5), (10) imply:
% 186.03/30.58  | |   (13)  op(e1, e2) = e1
% 186.03/30.58  | | 
% 186.03/30.58  | | REF_CLOSE: (2), (4), (12), (13) are inconsistent by sub-proof #1263.
% 186.03/30.58  | | 
% 186.03/30.58  | Case 2:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (14)  all_54_9 = e0
% 186.03/30.58  | | 
% 186.03/30.58  | | REF_CLOSE: (1), (3), (14) are inconsistent by sub-proof #1321.
% 186.03/30.58  | | 
% 186.03/30.58  | End of split
% 186.03/30.58  | 
% 186.03/30.58  End of proof
% 186.03/30.58  
% 186.03/30.58  Sub-proof #1219 shows that the following formulas are inconsistent:
% 186.03/30.58  ----------------------------------------------------------------
% 186.03/30.58    (1)   ~ (all_4_2 = e0)
% 186.03/30.58    (2)   ~ (e1 = e0)
% 186.03/30.58    (3)   ~ (e3 = e0)
% 186.03/30.58    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.03/30.58         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.03/30.58    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.03/30.58         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.03/30.58    (6)   ~ (e2 = e0)
% 186.03/30.58    (7)   ~ (e3 = e1)
% 186.03/30.58    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.58    (9)   ~ (all_52_6 = e2)
% 186.03/30.58    (10)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 186.03/30.58          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 186.03/30.58    (11)   ~ (e3 = e2)
% 186.03/30.58    (12)  op(e3, e3) = all_4_2
% 186.03/30.58    (13)  op(e1, e1) = e0
% 186.03/30.58    (14)  all_56_6 = e3 & op(e1, e3) = e3
% 186.03/30.58    (15)  op(e1, e2) = all_52_6
% 186.03/30.58    (16)  op(e3, e3) = e3
% 186.03/30.58    (17)   ~ (e2 = e1)
% 186.03/30.58    (18)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.58          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.58  
% 186.03/30.58  Begin of proof
% 186.03/30.58  | 
% 186.03/30.58  | ALPHA: (14) implies:
% 186.03/30.58  |   (19)  all_56_6 = e3
% 186.03/30.58  |   (20)  op(e1, e3) = e3
% 186.03/30.58  | 
% 186.03/30.58  | BETA: splitting (10) gives:
% 186.03/30.58  | 
% 186.03/30.58  | Case 1:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (21)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 186.03/30.58  | |           e2)
% 186.03/30.58  | | 
% 186.03/30.58  | | REF_CLOSE: (8), (9), (11), (15), (19), (21) are inconsistent by sub-proof
% 186.03/30.58  | |            #1231.
% 186.03/30.58  | | 
% 186.03/30.58  | Case 2:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (22)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 186.03/30.58  | |           e2)
% 186.03/30.58  | | 
% 186.03/30.58  | | BETA: splitting (22) gives:
% 186.03/30.58  | | 
% 186.03/30.58  | | Case 1:
% 186.03/30.58  | | | 
% 186.03/30.58  | | |   (23)  all_56_8 = e2 & op(e1, e1) = e2
% 186.03/30.58  | | | 
% 186.03/30.58  | | | ALPHA: (23) implies:
% 186.03/30.58  | | |   (24)  op(e1, e1) = e2
% 186.03/30.58  | | | 
% 186.03/30.58  | | | REF_CLOSE: (6), (8), (13), (24) are inconsistent by sub-proof #1230.
% 186.03/30.58  | | | 
% 186.03/30.58  | | Case 2:
% 186.03/30.58  | | | 
% 186.03/30.58  | | |   (25)  all_56_11 = e2 & op(e1, e0) = e2
% 186.03/30.58  | | | 
% 186.03/30.58  | | | ALPHA: (25) implies:
% 186.03/30.58  | | |   (26)  all_56_11 = e2
% 186.03/30.58  | | | 
% 186.03/30.58  | | | BETA: splitting (4) gives:
% 186.03/30.58  | | | 
% 186.03/30.58  | | | Case 1:
% 186.03/30.58  | | | | 
% 186.03/30.58  | | | |   (27)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3)
% 186.03/30.58  | | | |           = e2)
% 186.03/30.58  | | | | 
% 186.03/30.58  | | | | BETA: splitting (27) gives:
% 186.03/30.58  | | | | 
% 186.03/30.58  | | | | Case 1:
% 186.03/30.58  | | | | | 
% 186.03/30.58  | | | | |   (28)  all_56_0 = e2 & op(e3, e3) = e2
% 186.03/30.58  | | | | | 
% 186.03/30.58  | | | | | ALPHA: (28) implies:
% 186.03/30.58  | | | | |   (29)  op(e3, e3) = e2
% 186.03/30.58  | | | | | 
% 186.03/30.58  | | | | | REF_CLOSE: (8), (11), (16), (29) are inconsistent by sub-proof #1594.
% 186.03/30.58  | | | | | 
% 186.03/30.58  | | | | Case 2:
% 186.03/30.58  | | | | | 
% 186.03/30.58  | | | | |   (30)  all_56_2 = e2 & op(e2, e3) = e2
% 186.03/30.58  | | | | | 
% 186.03/30.58  | | | | | ALPHA: (30) implies:
% 186.03/30.58  | | | | |   (31)  all_56_2 = e2
% 186.03/30.58  | | | | | 
% 186.03/30.58  | | | | | BETA: splitting (5) gives:
% 186.03/30.58  | | | | | 
% 186.03/30.58  | | | | | Case 1:
% 186.03/30.58  | | | | | | 
% 186.03/30.58  | | | | | |   (32)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2,
% 186.03/30.58  | | | | | |             e3) = e1)
% 186.03/30.58  | | | | | | 
% 186.03/30.58  | | | | | | BETA: splitting (32) gives:
% 186.03/30.58  | | | | | | 
% 186.03/30.58  | | | | | | Case 1:
% 186.03/30.58  | | | | | | | 
% 186.03/30.58  | | | | | | |   (33)  all_56_0 = e1 & op(e3, e3) = e1
% 186.03/30.58  | | | | | | | 
% 186.03/30.58  | | | | | | | ALPHA: (33) implies:
% 186.03/30.58  | | | | | | |   (34)  op(e3, e3) = e1
% 186.03/30.58  | | | | | | | 
% 186.03/30.58  | | | | | | | REF_CLOSE: (7), (8), (16), (34) are inconsistent by sub-proof
% 186.03/30.58  | | | | | | |            #1600.
% 186.03/30.58  | | | | | | | 
% 186.03/30.58  | | | | | | Case 2:
% 186.03/30.58  | | | | | | | 
% 186.03/30.58  | | | | | | |   (35)  all_56_2 = e1 & op(e2, e3) = e1
% 186.03/30.58  | | | | | | | 
% 186.03/30.58  | | | | | | | ALPHA: (35) implies:
% 186.03/30.58  | | | | | | |   (36)  all_56_2 = e1
% 186.03/30.58  | | | | | | | 
% 186.03/30.58  | | | | | | | COMBINE_EQS: (31), (36) imply:
% 186.03/30.58  | | | | | | |   (37)  e2 = e1
% 186.03/30.58  | | | | | | | 
% 186.03/30.58  | | | | | | | SIMP: (37) implies:
% 186.03/30.58  | | | | | | |   (38)  e2 = e1
% 186.03/30.58  | | | | | | | 
% 186.03/30.58  | | | | | | | COMBINE_EQS: (26), (38) imply:
% 186.03/30.58  | | | | | | |   (39)  all_56_11 = e1
% 186.03/30.58  | | | | | | | 
% 186.03/30.58  | | | | | | | REF_CLOSE: (6), (8), (9), (10), (11), (13), (15), (17), (19), (39)
% 186.03/30.58  | | | | | | |            are inconsistent by sub-proof #1228.
% 186.03/30.58  | | | | | | | 
% 186.03/30.58  | | | | | | End of split
% 186.03/30.58  | | | | | | 
% 186.03/30.58  | | | | | Case 2:
% 186.03/30.58  | | | | | | 
% 186.03/30.58  | | | | | |   (40)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0,
% 186.03/30.58  | | | | | |             e3) = e1)
% 186.03/30.58  | | | | | | 
% 186.03/30.58  | | | | | | BETA: splitting (40) gives:
% 186.03/30.58  | | | | | | 
% 186.03/30.58  | | | | | | Case 1:
% 186.03/30.58  | | | | | | | 
% 186.03/30.58  | | | | | | |   (41)  all_56_6 = e1 & op(e1, e3) = e1
% 186.03/30.58  | | | | | | | 
% 186.03/30.58  | | | | | | | REF_CLOSE: (7), (19), (41) are inconsistent by sub-proof #1227.
% 186.03/30.58  | | | | | | | 
% 186.03/30.58  | | | | | | Case 2:
% 186.03/30.58  | | | | | | | 
% 186.03/30.58  | | | | | | |   (42)  all_56_12 = e1 & op(e0, e3) = e1
% 186.03/30.58  | | | | | | | 
% 186.03/30.58  | | | | | | | ALPHA: (42) implies:
% 186.03/30.58  | | | | | | |   (43)  all_56_12 = e1
% 186.03/30.58  | | | | | | |   (44)  op(e0, e3) = e1
% 186.03/30.58  | | | | | | | 
% 186.03/30.58  | | | | | | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (11), (12), (16), (17),
% 186.03/30.58  | | | | | | |            (18), (19), (20), (43), (44) are inconsistent by
% 186.03/30.58  | | | | | | |            sub-proof #1222.
% 186.03/30.58  | | | | | | | 
% 186.03/30.58  | | | | | | End of split
% 186.03/30.58  | | | | | | 
% 186.03/30.58  | | | | | End of split
% 186.03/30.58  | | | | | 
% 186.03/30.58  | | | | End of split
% 186.03/30.58  | | | | 
% 186.03/30.58  | | | Case 2:
% 186.03/30.58  | | | | 
% 186.03/30.58  | | | |   (45)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3)
% 186.03/30.58  | | | |           = e2)
% 186.03/30.58  | | | | 
% 186.03/30.58  | | | | BETA: splitting (45) gives:
% 186.03/30.58  | | | | 
% 186.03/30.58  | | | | Case 1:
% 186.03/30.58  | | | | | 
% 186.03/30.58  | | | | |   (46)  all_56_6 = e2 & op(e1, e3) = e2
% 186.03/30.58  | | | | | 
% 186.03/30.58  | | | | | REF_CLOSE: (11), (19), (46) are inconsistent by sub-proof #1232.
% 186.03/30.58  | | | | | 
% 186.03/30.58  | | | | Case 2:
% 186.03/30.58  | | | | | 
% 186.03/30.58  | | | | |   (47)  all_56_12 = e2 & op(e0, e3) = e2
% 186.03/30.58  | | | | | 
% 186.03/30.58  | | | | | ALPHA: (47) implies:
% 186.03/30.58  | | | | |   (48)  all_56_12 = e2
% 186.03/30.58  | | | | | 
% 186.03/30.58  | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (11), (12), (16),
% 186.03/30.58  | | | | |            (17), (18), (19), (20), (48) are inconsistent by sub-proof
% 186.03/30.58  | | | | |            #1220.
% 186.03/30.58  | | | | | 
% 186.03/30.58  | | | | End of split
% 186.03/30.58  | | | | 
% 186.03/30.58  | | | End of split
% 186.03/30.58  | | | 
% 186.03/30.58  | | End of split
% 186.03/30.58  | | 
% 186.03/30.58  | End of split
% 186.03/30.58  | 
% 186.03/30.58  End of proof
% 186.03/30.58  
% 186.03/30.58  Sub-proof #1220 shows that the following formulas are inconsistent:
% 186.03/30.58  ----------------------------------------------------------------
% 186.03/30.58    (1)   ~ (all_4_2 = e0)
% 186.03/30.58    (2)   ~ (e1 = e0)
% 186.03/30.58    (3)   ~ (e3 = e0)
% 186.03/30.58    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.03/30.58         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.03/30.58    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.03/30.58         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.03/30.58    (6)   ~ (e2 = e0)
% 186.03/30.58    (7)   ~ (e3 = e1)
% 186.03/30.58    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.58    (9)  all_56_12 = e2
% 186.03/30.58    (10)  all_56_6 = e3
% 186.03/30.58    (11)   ~ (e3 = e2)
% 186.03/30.58    (12)  op(e1, e3) = e3
% 186.03/30.58    (13)  op(e3, e3) = all_4_2
% 186.03/30.58    (14)  op(e3, e3) = e3
% 186.03/30.58    (15)   ~ (e2 = e1)
% 186.03/30.58    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.58          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.58  
% 186.03/30.58  Begin of proof
% 186.03/30.58  | 
% 186.03/30.58  | BETA: splitting (5) gives:
% 186.03/30.58  | 
% 186.03/30.58  | Case 1:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 186.03/30.58  | |           e1)
% 186.03/30.58  | | 
% 186.03/30.58  | | BETA: splitting (17) gives:
% 186.03/30.58  | | 
% 186.03/30.58  | | Case 1:
% 186.03/30.58  | | | 
% 186.03/30.58  | | |   (18)  all_56_0 = e1 & op(e3, e3) = e1
% 186.03/30.58  | | | 
% 186.03/30.58  | | | ALPHA: (18) implies:
% 186.03/30.58  | | |   (19)  op(e3, e3) = e1
% 186.03/30.58  | | | 
% 186.03/30.58  | | | REF_CLOSE: (7), (8), (14), (19) are inconsistent by sub-proof #1600.
% 186.03/30.58  | | | 
% 186.03/30.58  | | Case 2:
% 186.03/30.58  | | | 
% 186.03/30.58  | | |   (20)  all_56_2 = e1 & op(e2, e3) = e1
% 186.03/30.58  | | | 
% 186.03/30.58  | | | ALPHA: (20) implies:
% 186.03/30.58  | | |   (21)  all_56_2 = e1
% 186.03/30.58  | | | 
% 186.03/30.58  | | | BETA: splitting (16) gives:
% 186.03/30.58  | | | 
% 186.03/30.58  | | | Case 1:
% 186.03/30.58  | | | | 
% 186.03/30.58  | | | |   (22)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3)
% 186.03/30.58  | | | |           = e0)
% 186.03/30.58  | | | | 
% 186.03/30.58  | | | | REF_CLOSE: (1), (2), (8), (13), (21), (22) are inconsistent by sub-proof
% 186.03/30.58  | | | |            #1559.
% 186.03/30.58  | | | | 
% 186.03/30.58  | | | Case 2:
% 186.03/30.58  | | | | 
% 186.03/30.58  | | | |   (23)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3)
% 186.03/30.58  | | | |           = e0)
% 186.03/30.58  | | | | 
% 186.03/30.58  | | | | REF_CLOSE: (3), (6), (8), (9), (12), (23) are inconsistent by sub-proof
% 186.03/30.58  | | | |            #1221.
% 186.03/30.58  | | | | 
% 186.03/30.58  | | | End of split
% 186.03/30.58  | | | 
% 186.03/30.58  | | End of split
% 186.03/30.58  | | 
% 186.03/30.58  | Case 2:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (24)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 186.03/30.58  | |           e1)
% 186.03/30.58  | | 
% 186.03/30.58  | | BETA: splitting (24) gives:
% 186.03/30.58  | | 
% 186.03/30.58  | | Case 1:
% 186.03/30.58  | | | 
% 186.03/30.58  | | |   (25)  all_56_6 = e1 & op(e1, e3) = e1
% 186.03/30.58  | | | 
% 186.03/30.58  | | | ALPHA: (25) implies:
% 186.03/30.58  | | |   (26)  all_56_6 = e1
% 186.03/30.58  | | | 
% 186.03/30.58  | | | REF_CLOSE: (7), (10), (26) are inconsistent by sub-proof #1546.
% 186.03/30.58  | | | 
% 186.03/30.58  | | Case 2:
% 186.03/30.58  | | | 
% 186.03/30.58  | | |   (27)  all_56_12 = e1 & op(e0, e3) = e1
% 186.03/30.58  | | | 
% 186.03/30.58  | | | ALPHA: (27) implies:
% 186.03/30.58  | | |   (28)  all_56_12 = e1
% 186.03/30.58  | | |   (29)  op(e0, e3) = e1
% 186.03/30.58  | | | 
% 186.03/30.58  | | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (10), (11), (12), (13), (14),
% 186.03/30.58  | | |            (15), (16), (28), (29) are inconsistent by sub-proof #1222.
% 186.03/30.58  | | | 
% 186.03/30.58  | | End of split
% 186.03/30.58  | | 
% 186.03/30.58  | End of split
% 186.03/30.58  | 
% 186.03/30.58  End of proof
% 186.03/30.58  
% 186.03/30.58  Sub-proof #1221 shows that the following formulas are inconsistent:
% 186.03/30.58  ----------------------------------------------------------------
% 186.03/30.58    (1)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.58    (2)   ~ (e3 = e0)
% 186.03/30.58    (3)   ~ (e2 = e0)
% 186.03/30.58    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.58    (5)  all_56_12 = e2
% 186.03/30.58    (6)  op(e1, e3) = e3
% 186.03/30.58  
% 186.03/30.58  Begin of proof
% 186.03/30.58  | 
% 186.03/30.58  | BETA: splitting (1) gives:
% 186.03/30.58  | 
% 186.03/30.58  | Case 1:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (7)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.58  | | 
% 186.03/30.58  | | ALPHA: (7) implies:
% 186.03/30.58  | |   (8)  op(e1, e3) = e0
% 186.03/30.58  | | 
% 186.03/30.58  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1536.
% 186.03/30.58  | | 
% 186.03/30.58  | Case 2:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (9)  all_56_12 = e0 & op(e0, e3) = e0
% 186.03/30.58  | | 
% 186.03/30.58  | | REF_CLOSE: (3), (5), (9) are inconsistent by sub-proof #1553.
% 186.03/30.58  | | 
% 186.03/30.58  | End of split
% 186.03/30.58  | 
% 186.03/30.58  End of proof
% 186.03/30.58  
% 186.03/30.58  Sub-proof #1222 shows that the following formulas are inconsistent:
% 186.03/30.58  ----------------------------------------------------------------
% 186.03/30.58    (1)   ~ (all_4_2 = e0)
% 186.03/30.58    (2)   ~ (e1 = e0)
% 186.03/30.58    (3)   ~ (e3 = e0)
% 186.03/30.58    (4)  op(e0, e3) = e1
% 186.03/30.58    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.03/30.58         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.03/30.58    (6)   ~ (e2 = e0)
% 186.03/30.58    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.58    (8)  all_56_6 = e3
% 186.03/30.58    (9)   ~ (e3 = e2)
% 186.03/30.58    (10)  all_56_12 = e1
% 186.03/30.58    (11)  op(e1, e3) = e3
% 186.03/30.58    (12)  op(e3, e3) = all_4_2
% 186.03/30.58    (13)  op(e3, e3) = e3
% 186.03/30.58    (14)   ~ (e2 = e1)
% 186.03/30.58    (15)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.58          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.58  
% 186.03/30.58  Begin of proof
% 186.03/30.58  | 
% 186.03/30.58  | BETA: splitting (5) gives:
% 186.03/30.58  | 
% 186.03/30.58  | Case 1:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (16)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 186.03/30.58  | |           e2)
% 186.03/30.58  | | 
% 186.03/30.58  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9), (11), (12), (13), (15), (16)
% 186.03/30.58  | |            are inconsistent by sub-proof #1223.
% 186.03/30.58  | | 
% 186.03/30.58  | Case 2:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (17)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 186.03/30.58  | |           e2)
% 186.03/30.58  | | 
% 186.03/30.58  | | BETA: splitting (17) gives:
% 186.03/30.58  | | 
% 186.03/30.58  | | Case 1:
% 186.03/30.58  | | | 
% 186.03/30.58  | | |   (18)  all_56_6 = e2 & op(e1, e3) = e2
% 186.03/30.58  | | | 
% 186.03/30.58  | | | REF_CLOSE: (8), (9), (18) are inconsistent by sub-proof #1232.
% 186.03/30.58  | | | 
% 186.03/30.58  | | Case 2:
% 186.03/30.58  | | | 
% 186.03/30.58  | | |   (19)  all_56_12 = e2 & op(e0, e3) = e2
% 186.03/30.58  | | | 
% 186.03/30.58  | | | REF_CLOSE: (10), (14), (19) are inconsistent by sub-proof #1591.
% 186.03/30.58  | | | 
% 186.03/30.58  | | End of split
% 186.03/30.58  | | 
% 186.03/30.58  | End of split
% 186.03/30.58  | 
% 186.03/30.58  End of proof
% 186.03/30.58  
% 186.03/30.58  Sub-proof #1223 shows that the following formulas are inconsistent:
% 186.03/30.58  ----------------------------------------------------------------
% 186.03/30.58    (1)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 186.03/30.58    (2)   ~ (all_4_2 = e0)
% 186.03/30.58    (3)   ~ (e1 = e0)
% 186.03/30.58    (4)   ~ (e3 = e0)
% 186.03/30.58    (5)  op(e0, e3) = e1
% 186.03/30.58    (6)   ~ (e2 = e0)
% 186.03/30.58    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.58    (8)   ~ (e3 = e2)
% 186.03/30.58    (9)  op(e1, e3) = e3
% 186.03/30.58    (10)  op(e3, e3) = all_4_2
% 186.03/30.58    (11)  op(e3, e3) = e3
% 186.03/30.58    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.58          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.58  
% 186.03/30.58  Begin of proof
% 186.03/30.58  | 
% 186.03/30.58  | BETA: splitting (1) gives:
% 186.03/30.58  | 
% 186.03/30.58  | Case 1:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (13)  all_56_0 = e2 & op(e3, e3) = e2
% 186.03/30.58  | | 
% 186.03/30.58  | | ALPHA: (13) implies:
% 186.03/30.58  | |   (14)  op(e3, e3) = e2
% 186.03/30.58  | | 
% 186.03/30.58  | | REF_CLOSE: (7), (8), (11), (14) are inconsistent by sub-proof #1594.
% 186.03/30.58  | | 
% 186.03/30.58  | Case 2:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (15)  all_56_2 = e2 & op(e2, e3) = e2
% 186.03/30.58  | | 
% 186.03/30.58  | | ALPHA: (15) implies:
% 186.03/30.58  | |   (16)  all_56_2 = e2
% 186.03/30.58  | | 
% 186.03/30.58  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (10), (12), (16) are
% 186.03/30.58  | |            inconsistent by sub-proof #1224.
% 186.03/30.58  | | 
% 186.03/30.58  | End of split
% 186.03/30.58  | 
% 186.03/30.58  End of proof
% 186.03/30.58  
% 186.03/30.58  Sub-proof #1224 shows that the following formulas are inconsistent:
% 186.03/30.58  ----------------------------------------------------------------
% 186.03/30.58    (1)   ~ (all_4_2 = e0)
% 186.03/30.58    (2)   ~ (e1 = e0)
% 186.03/30.58    (3)  all_56_2 = e2
% 186.03/30.58    (4)   ~ (e3 = e0)
% 186.03/30.58    (5)  op(e0, e3) = e1
% 186.03/30.58    (6)   ~ (e2 = e0)
% 186.03/30.58    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.58    (8)  op(e1, e3) = e3
% 186.03/30.58    (9)  op(e3, e3) = all_4_2
% 186.03/30.58    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.03/30.58          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.58  
% 186.03/30.58  Begin of proof
% 186.03/30.58  | 
% 186.03/30.58  | BETA: splitting (10) gives:
% 186.03/30.58  | 
% 186.03/30.58  | Case 1:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 186.03/30.58  | |           e0)
% 186.03/30.58  | | 
% 186.03/30.58  | | REF_CLOSE: (1), (3), (6), (7), (9), (11) are inconsistent by sub-proof
% 186.03/30.58  | |            #1226.
% 186.03/30.58  | | 
% 186.03/30.58  | Case 2:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 186.03/30.58  | |           e0)
% 186.03/30.58  | | 
% 186.03/30.58  | | REF_CLOSE: (2), (4), (5), (7), (8), (12) are inconsistent by sub-proof
% 186.03/30.58  | |            #1225.
% 186.03/30.58  | | 
% 186.03/30.58  | End of split
% 186.03/30.58  | 
% 186.03/30.58  End of proof
% 186.03/30.58  
% 186.03/30.58  Sub-proof #1225 shows that the following formulas are inconsistent:
% 186.03/30.58  ----------------------------------------------------------------
% 186.03/30.58    (1)   ~ (e1 = e0)
% 186.03/30.58    (2)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.03/30.58    (3)   ~ (e3 = e0)
% 186.03/30.58    (4)  op(e0, e3) = e1
% 186.03/30.58    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.58    (6)  op(e1, e3) = e3
% 186.03/30.58  
% 186.03/30.58  Begin of proof
% 186.03/30.58  | 
% 186.03/30.58  | BETA: splitting (2) gives:
% 186.03/30.58  | 
% 186.03/30.58  | Case 1:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (7)  all_56_6 = e0 & op(e1, e3) = e0
% 186.03/30.58  | | 
% 186.03/30.58  | | ALPHA: (7) implies:
% 186.03/30.58  | |   (8)  op(e1, e3) = e0
% 186.03/30.58  | | 
% 186.03/30.58  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1536.
% 186.03/30.58  | | 
% 186.03/30.58  | Case 2:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (9)  all_56_12 = e0 & op(e0, e3) = e0
% 186.03/30.58  | | 
% 186.03/30.58  | | ALPHA: (9) implies:
% 186.03/30.58  | |   (10)  op(e0, e3) = e0
% 186.03/30.58  | | 
% 186.03/30.58  | | REF_CLOSE: (1), (4), (5), (10) are inconsistent by sub-proof #1589.
% 186.03/30.58  | | 
% 186.03/30.58  | End of split
% 186.03/30.58  | 
% 186.03/30.58  End of proof
% 186.03/30.58  
% 186.03/30.58  Sub-proof #1226 shows that the following formulas are inconsistent:
% 186.03/30.58  ----------------------------------------------------------------
% 186.03/30.58    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 186.03/30.58    (2)   ~ (all_4_2 = e0)
% 186.03/30.58    (3)  all_56_2 = e2
% 186.03/30.58    (4)   ~ (e2 = e0)
% 186.03/30.58    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.58    (6)  op(e3, e3) = all_4_2
% 186.03/30.58  
% 186.03/30.58  Begin of proof
% 186.03/30.58  | 
% 186.03/30.58  | BETA: splitting (1) gives:
% 186.03/30.58  | 
% 186.03/30.58  | Case 1:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 186.03/30.58  | | 
% 186.03/30.58  | | ALPHA: (7) implies:
% 186.03/30.58  | |   (8)  op(e3, e3) = e0
% 186.03/30.58  | | 
% 186.03/30.58  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1624.
% 186.03/30.58  | | 
% 186.03/30.58  | Case 2:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (9)  all_56_2 = e0 & op(e2, e3) = e0
% 186.03/30.58  | | 
% 186.03/30.58  | | ALPHA: (9) implies:
% 186.03/30.58  | |   (10)  all_56_2 = e0
% 186.03/30.58  | | 
% 186.03/30.58  | | COMBINE_EQS: (3), (10) imply:
% 186.03/30.58  | |   (11)  e2 = e0
% 186.03/30.58  | | 
% 186.03/30.58  | | REDUCE: (4), (11) imply:
% 186.03/30.58  | |   (12)  $false
% 186.03/30.58  | | 
% 186.03/30.58  | | CLOSE: (12) is inconsistent.
% 186.03/30.58  | | 
% 186.03/30.58  | End of split
% 186.03/30.58  | 
% 186.03/30.58  End of proof
% 186.03/30.58  
% 186.03/30.58  Sub-proof #1227 shows that the following formulas are inconsistent:
% 186.03/30.58  ----------------------------------------------------------------
% 186.03/30.58    (1)  all_56_6 = e1 & op(e1, e3) = e1
% 186.03/30.58    (2)  all_56_6 = e3
% 186.03/30.58    (3)   ~ (e3 = e1)
% 186.03/30.58  
% 186.03/30.58  Begin of proof
% 186.03/30.58  | 
% 186.03/30.58  | ALPHA: (1) implies:
% 186.03/30.58  |   (4)  all_56_6 = e1
% 186.03/30.58  | 
% 186.03/30.58  | COMBINE_EQS: (2), (4) imply:
% 186.03/30.58  |   (5)  e3 = e1
% 186.03/30.58  | 
% 186.03/30.58  | REDUCE: (3), (5) imply:
% 186.03/30.58  |   (6)  $false
% 186.03/30.58  | 
% 186.03/30.58  | CLOSE: (6) is inconsistent.
% 186.03/30.58  | 
% 186.03/30.58  End of proof
% 186.03/30.58  
% 186.03/30.58  Sub-proof #1228 shows that the following formulas are inconsistent:
% 186.03/30.58  ----------------------------------------------------------------
% 186.03/30.58    (1)   ~ (e2 = e0)
% 186.03/30.58    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.58    (3)   ~ (all_52_6 = e2)
% 186.03/30.58    (4)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2) |
% 186.03/30.58         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) = e2)
% 186.03/30.58    (5)  all_56_6 = e3
% 186.03/30.58    (6)   ~ (e3 = e2)
% 186.03/30.58    (7)  op(e1, e1) = e0
% 186.03/30.58    (8)  op(e1, e2) = all_52_6
% 186.03/30.58    (9)   ~ (e2 = e1)
% 186.03/30.58    (10)  all_56_11 = e1
% 186.03/30.58  
% 186.03/30.58  Begin of proof
% 186.03/30.58  | 
% 186.03/30.58  | BETA: splitting (4) gives:
% 186.03/30.58  | 
% 186.03/30.58  | Case 1:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (11)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 186.03/30.58  | |           e2)
% 186.03/30.58  | | 
% 186.03/30.58  | | REF_CLOSE: (2), (3), (5), (6), (8), (11) are inconsistent by sub-proof
% 186.03/30.58  | |            #1231.
% 186.03/30.58  | | 
% 186.03/30.58  | Case 2:
% 186.03/30.58  | | 
% 186.03/30.58  | |   (12)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 186.03/30.58  | |           e2)
% 186.03/30.58  | | 
% 186.03/30.58  | | BETA: splitting (12) gives:
% 186.03/30.58  | | 
% 186.03/30.58  | | Case 1:
% 186.03/30.58  | | | 
% 186.03/30.58  | | |   (13)  all_56_8 = e2 & op(e1, e1) = e2
% 186.03/30.58  | | | 
% 186.03/30.58  | | | ALPHA: (13) implies:
% 186.03/30.58  | | |   (14)  op(e1, e1) = e2
% 186.03/30.58  | | | 
% 186.03/30.58  | | | REF_CLOSE: (1), (2), (7), (14) are inconsistent by sub-proof #1230.
% 186.03/30.58  | | | 
% 186.03/30.58  | | Case 2:
% 186.03/30.58  | | | 
% 186.03/30.58  | | |   (15)  all_56_11 = e2 & op(e1, e0) = e2
% 186.03/30.58  | | | 
% 186.03/30.58  | | | ALPHA: (15) implies:
% 186.03/30.58  | | |   (16)  all_56_11 = e2
% 186.03/30.58  | | | 
% 186.03/30.58  | | | REF_CLOSE: (9), (10), (16) are inconsistent by sub-proof #1229.
% 186.03/30.58  | | | 
% 186.03/30.58  | | End of split
% 186.03/30.58  | | 
% 186.03/30.58  | End of split
% 186.03/30.58  | 
% 186.03/30.58  End of proof
% 186.03/30.58  
% 186.03/30.58  Sub-proof #1229 shows that the following formulas are inconsistent:
% 186.03/30.58  ----------------------------------------------------------------
% 186.03/30.58    (1)  all_56_11 = e2
% 186.03/30.58    (2)  all_56_11 = e1
% 186.03/30.58    (3)   ~ (e2 = e1)
% 186.03/30.58  
% 186.03/30.58  Begin of proof
% 186.03/30.58  | 
% 186.03/30.58  | COMBINE_EQS: (1), (2) imply:
% 186.03/30.58  |   (4)  e2 = e1
% 186.03/30.58  | 
% 186.03/30.58  | SIMP: (4) implies:
% 186.03/30.58  |   (5)  e2 = e1
% 186.03/30.58  | 
% 186.03/30.58  | REDUCE: (3), (5) imply:
% 186.03/30.58  |   (6)  $false
% 186.03/30.58  | 
% 186.03/30.58  | CLOSE: (6) is inconsistent.
% 186.03/30.58  | 
% 186.03/30.58  End of proof
% 186.03/30.58  
% 186.03/30.58  Sub-proof #1230 shows that the following formulas are inconsistent:
% 186.03/30.58  ----------------------------------------------------------------
% 186.03/30.58    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.58    (2)  op(e1, e1) = e2
% 186.03/30.58    (3)  op(e1, e1) = e0
% 186.03/30.58    (4)   ~ (e2 = e0)
% 186.03/30.58  
% 186.03/30.58  Begin of proof
% 186.03/30.58  | 
% 186.03/30.58  | GROUND_INST: instantiating (1) with e0, e2, e1, e1, simplifying with (2), (3)
% 186.03/30.58  |              gives:
% 186.03/30.58  |   (5)  e2 = e0
% 186.03/30.58  | 
% 186.03/30.58  | REDUCE: (4), (5) imply:
% 186.03/30.58  |   (6)  $false
% 186.03/30.58  | 
% 186.03/30.58  | CLOSE: (6) is inconsistent.
% 186.03/30.58  | 
% 186.03/30.58  End of proof
% 186.03/30.58  
% 186.03/30.58  Sub-proof #1231 shows that the following formulas are inconsistent:
% 186.03/30.58  ----------------------------------------------------------------
% 186.03/30.58    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.03/30.58           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.03/30.58    (2)   ~ (all_52_6 = e2)
% 186.03/30.58    (3)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2)
% 186.03/30.58    (4)  all_56_6 = e3
% 186.03/30.58    (5)   ~ (e3 = e2)
% 186.03/30.59    (6)  op(e1, e2) = all_52_6
% 186.03/30.59  
% 186.03/30.59  Begin of proof
% 186.03/30.59  | 
% 186.03/30.59  | BETA: splitting (3) gives:
% 186.03/30.59  | 
% 186.03/30.59  | Case 1:
% 186.03/30.59  | | 
% 186.03/30.59  | |   (7)  all_56_6 = e2 & op(e1, e3) = e2
% 186.03/30.59  | | 
% 186.03/30.59  | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #1232.
% 186.03/30.59  | | 
% 186.03/30.59  | Case 2:
% 186.03/30.59  | | 
% 186.03/30.59  | |   (8)  all_56_7 = e2 & op(e1, e2) = e2
% 186.03/30.59  | | 
% 186.03/30.59  | | ALPHA: (8) implies:
% 186.19/30.59  | |   (9)  op(e1, e2) = e2
% 186.19/30.59  | | 
% 186.19/30.59  | | REF_CLOSE: (1), (2), (6), (9) are inconsistent by sub-proof #1614.
% 186.19/30.59  | | 
% 186.19/30.59  | End of split
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1232 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)  all_56_6 = e2 & op(e1, e3) = e2
% 186.19/30.59    (2)  all_56_6 = e3
% 186.19/30.59    (3)   ~ (e3 = e2)
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | ALPHA: (1) implies:
% 186.19/30.59  |   (4)  all_56_6 = e2
% 186.19/30.59  | 
% 186.19/30.59  | COMBINE_EQS: (2), (4) imply:
% 186.19/30.59  |   (5)  e3 = e2
% 186.19/30.59  | 
% 186.19/30.59  | REDUCE: (3), (5) imply:
% 186.19/30.59  |   (6)  $false
% 186.19/30.59  | 
% 186.19/30.59  | CLOSE: (6) is inconsistent.
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1233 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)   ~ (all_52_11 = e1)
% 186.19/30.59    (2)   ~ (all_52_11 = e0)
% 186.19/30.59    (3)  all_54_14 = all_52_11
% 186.19/30.59    (4)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 186.19/30.59    (5)   ~ (all_52_11 = e2)
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | BETA: splitting (4) gives:
% 186.19/30.59  | 
% 186.19/30.59  | Case 1:
% 186.19/30.59  | | 
% 186.19/30.59  | |   (6)  all_54_14 = e2
% 186.19/30.59  | | 
% 186.19/30.59  | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #1234.
% 186.19/30.59  | | 
% 186.19/30.59  | Case 2:
% 186.19/30.59  | | 
% 186.19/30.59  | |   (7)  all_54_14 = e1 | all_54_14 = e0
% 186.19/30.59  | | 
% 186.19/30.59  | | BETA: splitting (7) gives:
% 186.19/30.59  | | 
% 186.19/30.59  | | Case 1:
% 186.19/30.59  | | | 
% 186.19/30.59  | | |   (8)  all_54_14 = e1
% 186.19/30.59  | | | 
% 186.19/30.59  | | | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #1307.
% 186.19/30.59  | | | 
% 186.19/30.59  | | Case 2:
% 186.19/30.59  | | | 
% 186.19/30.59  | | |   (9)  all_54_14 = e0
% 186.19/30.59  | | | 
% 186.19/30.59  | | | REF_CLOSE: (2), (3), (9) are inconsistent by sub-proof #1306.
% 186.19/30.59  | | | 
% 186.19/30.59  | | End of split
% 186.19/30.59  | | 
% 186.19/30.59  | End of split
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1234 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)  all_54_14 = all_52_11
% 186.19/30.59    (2)  all_54_14 = e2
% 186.19/30.59    (3)   ~ (all_52_11 = e2)
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | COMBINE_EQS: (1), (2) imply:
% 186.19/30.59  |   (4)  all_52_11 = e2
% 186.19/30.59  | 
% 186.19/30.59  | SIMP: (4) implies:
% 186.19/30.59  |   (5)  all_52_11 = e2
% 186.19/30.59  | 
% 186.19/30.59  | REDUCE: (3), (5) imply:
% 186.19/30.59  |   (6)  $false
% 186.19/30.59  | 
% 186.19/30.59  | CLOSE: (6) is inconsistent.
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1235 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)  all_54_6 = all_52_9
% 186.19/30.59    (2)  all_54_6 = e0
% 186.19/30.59    (3)   ~ (all_52_9 = e0)
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | COMBINE_EQS: (1), (2) imply:
% 186.19/30.59  |   (4)  all_52_9 = e0
% 186.19/30.59  | 
% 186.19/30.59  | SIMP: (4) implies:
% 186.19/30.59  |   (5)  all_52_9 = e0
% 186.19/30.59  | 
% 186.19/30.59  | REDUCE: (3), (5) imply:
% 186.19/30.59  |   (6)  $false
% 186.19/30.59  | 
% 186.19/30.59  | CLOSE: (6) is inconsistent.
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1236 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)  all_54_8 = all_52_2
% 186.19/30.59    (2)  all_54_8 = e0
% 186.19/30.59    (3)   ~ (all_52_2 = e0)
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | COMBINE_EQS: (1), (2) imply:
% 186.19/30.59  |   (4)  all_52_2 = e0
% 186.19/30.59  | 
% 186.19/30.59  | SIMP: (4) implies:
% 186.19/30.59  |   (5)  all_52_2 = e0
% 186.19/30.59  | 
% 186.19/30.59  | REDUCE: (3), (5) imply:
% 186.19/30.59  |   (6)  $false
% 186.19/30.59  | 
% 186.19/30.59  | CLOSE: (6) is inconsistent.
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1237 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)   ~ (all_52_8 = e3)
% 186.19/30.59    (2)  op(e1, e0) = all_52_14
% 186.19/30.59    (3)  op(e0, e0) = e0
% 186.19/30.59    (4)  op(e0, e0) = all_57_31
% 186.19/30.59    (5)   ~ (all_52_14 = e1)
% 186.19/30.59    (6)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 186.19/30.59    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.19/30.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.19/30.59    (8)   ~ (all_52_8 = e0)
% 186.19/30.59    (9)  all_54_2 = all_52_8
% 186.19/30.59    (10)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8
% 186.19/30.59              = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 =
% 186.19/30.59              e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.19/30.59            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.19/30.59            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 186.19/30.59            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 186.19/30.59            $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 186.19/30.59            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 186.19/30.59            & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 186.19/30.59            op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 186.19/30.59            all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 186.19/30.59            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 186.19/30.59            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.19/30.59                op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 186.19/30.59                e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 186.19/30.59    (11)   ~ (all_52_8 = e1)
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | BETA: splitting (6) gives:
% 186.19/30.59  | 
% 186.19/30.59  | Case 1:
% 186.19/30.59  | | 
% 186.19/30.59  | |   (12)  all_54_2 = e3
% 186.19/30.59  | | 
% 186.19/30.59  | | COMBINE_EQS: (9), (12) imply:
% 186.19/30.59  | |   (13)  all_52_8 = e3
% 186.19/30.59  | | 
% 186.19/30.59  | | REDUCE: (1), (13) imply:
% 186.19/30.59  | |   (14)  $false
% 186.19/30.59  | | 
% 186.19/30.59  | | CLOSE: (14) is inconsistent.
% 186.19/30.59  | | 
% 186.19/30.59  | Case 2:
% 186.19/30.59  | | 
% 186.19/30.59  | |   (15)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 186.19/30.59  | | 
% 186.19/30.59  | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (15) are
% 186.19/30.59  | |            inconsistent by sub-proof #1238.
% 186.19/30.59  | | 
% 186.19/30.59  | End of split
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1238 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)  op(e1, e0) = all_52_14
% 186.19/30.59    (2)  op(e0, e0) = e0
% 186.19/30.59    (3)  op(e0, e0) = all_57_31
% 186.19/30.59    (4)   ~ (all_52_14 = e1)
% 186.19/30.59    (5)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 186.19/30.59    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.19/30.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.19/30.59    (7)   ~ (all_52_8 = e0)
% 186.19/30.59    (8)  all_54_2 = all_52_8
% 186.19/30.59    (9)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 =
% 186.19/30.59             e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0)
% 186.19/30.59           & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 186.19/30.59             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.19/30.59           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 186.19/30.59           $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 186.19/30.59           $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 186.19/30.59           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 186.19/30.59           & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 186.19/30.59           op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 186.19/30.59           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 186.19/30.59           $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 186.19/30.59           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.19/30.59               op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 186.19/30.59               e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 186.19/30.59    (10)   ~ (all_52_8 = e1)
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | BETA: splitting (5) gives:
% 186.19/30.59  | 
% 186.19/30.59  | Case 1:
% 186.19/30.59  | | 
% 186.19/30.59  | | 
% 186.19/30.59  | | GROUND_INST: instantiating (6) with e0, all_57_31, e0, e0, simplifying with
% 186.19/30.59  | |              (2), (3) gives:
% 186.19/30.59  | |   (11)  all_57_31 = e0
% 186.19/30.59  | | 
% 186.19/30.59  | | REF_CLOSE: (1), (4), (6), (9), (11) are inconsistent by sub-proof #1583.
% 186.19/30.59  | | 
% 186.19/30.59  | Case 2:
% 186.19/30.59  | | 
% 186.19/30.59  | |   (12)  all_54_2 = e1 | all_54_2 = e0
% 186.19/30.59  | | 
% 186.19/30.59  | | REF_CLOSE: (7), (8), (10), (12) are inconsistent by sub-proof #1324.
% 186.19/30.59  | | 
% 186.19/30.59  | End of split
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1239 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 =
% 186.19/30.59           e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 186.19/30.59         op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 186.19/30.59           all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.19/30.59         all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 186.19/30.59         $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 186.19/30.59         $i(all_57_30)
% 186.19/30.59    (2)  all_57_27 = e3
% 186.19/30.59    (3)   ~ (e3 = e1)
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | ALPHA: (1) implies:
% 186.19/30.59  |   (4)  all_57_27 = e1
% 186.19/30.59  | 
% 186.19/30.59  | COMBINE_EQS: (2), (4) imply:
% 186.19/30.59  |   (5)  e3 = e1
% 186.19/30.59  | 
% 186.19/30.59  | SIMP: (5) implies:
% 186.19/30.59  |   (6)  e3 = e1
% 186.19/30.59  | 
% 186.19/30.59  | REDUCE: (3), (6) imply:
% 186.19/30.59  |   (7)  $false
% 186.19/30.59  | 
% 186.19/30.59  | CLOSE: (7) is inconsistent.
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1240 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)  all_54_8 = all_52_2
% 186.19/30.59    (2)  all_54_8 = e2
% 186.19/30.59    (3)   ~ (all_52_2 = e2)
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | COMBINE_EQS: (1), (2) imply:
% 186.19/30.59  |   (4)  all_52_2 = e2
% 186.19/30.59  | 
% 186.19/30.59  | SIMP: (4) implies:
% 186.19/30.59  |   (5)  all_52_2 = e2
% 186.19/30.59  | 
% 186.19/30.59  | REDUCE: (3), (5) imply:
% 186.19/30.59  |   (6)  $false
% 186.19/30.59  | 
% 186.19/30.59  | CLOSE: (6) is inconsistent.
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1241 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)  all_54_6 = all_52_9
% 186.19/30.59    (2)  all_54_6 = e2
% 186.19/30.59    (3)   ~ (all_52_9 = e2)
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | COMBINE_EQS: (1), (2) imply:
% 186.19/30.59  |   (4)  all_52_9 = e2
% 186.19/30.59  | 
% 186.19/30.59  | SIMP: (4) implies:
% 186.19/30.59  |   (5)  all_52_9 = e2
% 186.19/30.59  | 
% 186.19/30.59  | REDUCE: (3), (5) imply:
% 186.19/30.59  |   (6)  $false
% 186.19/30.59  | 
% 186.19/30.59  | CLOSE: (6) is inconsistent.
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1242 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)  all_54_6 = all_52_9
% 186.19/30.59    (2)  all_54_6 = e3
% 186.19/30.59    (3)   ~ (all_52_9 = e3)
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | COMBINE_EQS: (1), (2) imply:
% 186.19/30.59  |   (4)  all_52_9 = e3
% 186.19/30.59  | 
% 186.19/30.59  | SIMP: (4) implies:
% 186.19/30.59  |   (5)  all_52_9 = e3
% 186.19/30.59  | 
% 186.19/30.59  | REDUCE: (3), (5) imply:
% 186.19/30.59  |   (6)  $false
% 186.19/30.59  | 
% 186.19/30.59  | CLOSE: (6) is inconsistent.
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1243 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)  all_54_8 = all_52_2
% 186.19/30.59    (2)  all_54_8 = e3
% 186.19/30.59    (3)   ~ (all_52_2 = e3)
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | COMBINE_EQS: (1), (2) imply:
% 186.19/30.59  |   (4)  all_52_2 = e3
% 186.19/30.59  | 
% 186.19/30.59  | SIMP: (4) implies:
% 186.19/30.59  |   (5)  all_52_2 = e3
% 186.19/30.59  | 
% 186.19/30.59  | REDUCE: (3), (5) imply:
% 186.19/30.59  |   (6)  $false
% 186.19/30.59  | 
% 186.19/30.59  | CLOSE: (6) is inconsistent.
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1244 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)  all_56_10 = e3
% 186.19/30.59    (2)   ~ (e1 = e0)
% 186.19/30.59    (3)  all_56_1 = e0
% 186.19/30.59    (4)  op(e2, e1) = all_52_9
% 186.19/30.59    (5)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 186.19/30.59         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 186.19/30.59    (6)  all_56_2 = e0
% 186.19/30.59    (7)   ~ (e2 = e0)
% 186.19/30.59    (8)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.19/30.59         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.19/30.59    (9)   ~ (e3 = e1)
% 186.19/30.59    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.19/30.59            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.19/30.59    (11)   ~ (all_52_6 = e2)
% 186.19/30.59    (12)  op(e1, e2) = all_52_6
% 186.19/30.59    (13)   ~ (e2 = e1)
% 186.19/30.59    (14)  all_56_13 = e1
% 186.19/30.59    (15)   ~ (all_52_9 = e1)
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | BETA: splitting (5) gives:
% 186.19/30.59  | 
% 186.19/30.59  | Case 1:
% 186.19/30.59  | | 
% 186.19/30.59  | |   (16)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 186.19/30.59  | |           e1)
% 186.19/30.59  | | 
% 186.19/30.59  | | BETA: splitting (16) gives:
% 186.19/30.59  | | 
% 186.19/30.59  | | Case 1:
% 186.19/30.59  | | | 
% 186.19/30.59  | | |   (17)  all_56_2 = e1 & op(e2, e3) = e1
% 186.19/30.59  | | | 
% 186.19/30.59  | | | REF_CLOSE: (2), (6), (17) are inconsistent by sub-proof #1524.
% 186.19/30.59  | | | 
% 186.19/30.59  | | Case 2:
% 186.19/30.59  | | | 
% 186.19/30.59  | | |   (18)  all_56_3 = e1 & op(e2, e2) = e1
% 186.19/30.59  | | | 
% 186.19/30.59  | | | ALPHA: (18) implies:
% 186.19/30.59  | | |   (19)  op(e2, e2) = e1
% 186.19/30.59  | | | 
% 186.19/30.59  | | | REF_CLOSE: (3), (7), (8), (10), (11), (12), (13), (14), (19) are
% 186.19/30.59  | | |            inconsistent by sub-proof #1245.
% 186.19/30.59  | | | 
% 186.19/30.59  | | End of split
% 186.19/30.59  | | 
% 186.19/30.59  | Case 2:
% 186.19/30.59  | | 
% 186.19/30.59  | |   (20)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 186.19/30.59  | |           e1)
% 186.19/30.59  | | 
% 186.19/30.59  | | REF_CLOSE: (1), (4), (9), (10), (15), (20) are inconsistent by sub-proof
% 186.19/30.59  | |            #1485.
% 186.19/30.59  | | 
% 186.19/30.59  | End of split
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1245 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)  all_56_1 = e0
% 186.19/30.59    (2)   ~ (e2 = e0)
% 186.19/30.59    (3)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.19/30.59         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.19/30.59    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.19/30.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.19/30.59    (5)   ~ (all_52_6 = e2)
% 186.19/30.59    (6)  op(e2, e2) = e1
% 186.19/30.59    (7)  op(e1, e2) = all_52_6
% 186.19/30.59    (8)   ~ (e2 = e1)
% 186.19/30.59    (9)  all_56_13 = e1
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | BETA: splitting (3) gives:
% 186.19/30.59  | 
% 186.19/30.59  | Case 1:
% 186.19/30.59  | | 
% 186.19/30.59  | |   (10)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 186.19/30.59  | |           e2)
% 186.19/30.59  | | 
% 186.19/30.59  | | BETA: splitting (10) gives:
% 186.19/30.59  | | 
% 186.19/30.59  | | Case 1:
% 186.19/30.59  | | | 
% 186.19/30.59  | | |   (11)  all_56_1 = e2 & op(e3, e2) = e2
% 186.19/30.59  | | | 
% 186.19/30.59  | | | REF_CLOSE: (1), (2), (11) are inconsistent by sub-proof #1247.
% 186.19/30.59  | | | 
% 186.19/30.59  | | Case 2:
% 186.19/30.59  | | | 
% 186.19/30.59  | | |   (12)  all_56_3 = e2 & op(e2, e2) = e2
% 186.19/30.59  | | | 
% 186.19/30.59  | | | ALPHA: (12) implies:
% 186.19/30.59  | | |   (13)  op(e2, e2) = e2
% 186.19/30.59  | | | 
% 186.19/30.59  | | | REF_CLOSE: (4), (6), (8), (13) are inconsistent by sub-proof #1487.
% 186.19/30.59  | | | 
% 186.19/30.59  | | End of split
% 186.19/30.59  | | 
% 186.19/30.59  | Case 2:
% 186.19/30.59  | | 
% 186.19/30.59  | |   (14)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 186.19/30.59  | |           e2)
% 186.19/30.59  | | 
% 186.19/30.59  | | REF_CLOSE: (4), (5), (7), (8), (9), (14) are inconsistent by sub-proof
% 186.19/30.59  | |            #1246.
% 186.19/30.59  | | 
% 186.19/30.59  | End of split
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1246 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.19/30.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.19/30.59    (2)   ~ (all_52_6 = e2)
% 186.19/30.59    (3)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.19/30.59    (4)  op(e1, e2) = all_52_6
% 186.19/30.59    (5)   ~ (e2 = e1)
% 186.19/30.59    (6)  all_56_13 = e1
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | BETA: splitting (3) gives:
% 186.19/30.59  | 
% 186.19/30.59  | Case 1:
% 186.19/30.59  | | 
% 186.19/30.59  | |   (7)  all_56_7 = e2 & op(e1, e2) = e2
% 186.19/30.59  | | 
% 186.19/30.59  | | ALPHA: (7) implies:
% 186.19/30.59  | |   (8)  op(e1, e2) = e2
% 186.19/30.59  | | 
% 186.19/30.59  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1614.
% 186.19/30.59  | | 
% 186.19/30.59  | Case 2:
% 186.19/30.59  | | 
% 186.19/30.59  | |   (9)  all_56_13 = e2 & op(e0, e2) = e2
% 186.19/30.59  | | 
% 186.19/30.59  | | REF_CLOSE: (5), (6), (9) are inconsistent by sub-proof #1513.
% 186.19/30.59  | | 
% 186.19/30.59  | End of split
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1247 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)  all_56_1 = e2 & op(e3, e2) = e2
% 186.19/30.59    (2)  all_56_1 = e0
% 186.19/30.59    (3)   ~ (e2 = e0)
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | ALPHA: (1) implies:
% 186.19/30.59  |   (4)  all_56_1 = e2
% 186.19/30.59  | 
% 186.19/30.59  | COMBINE_EQS: (2), (4) imply:
% 186.19/30.59  |   (5)  e2 = e0
% 186.19/30.59  | 
% 186.19/30.59  | REDUCE: (3), (5) imply:
% 186.19/30.59  |   (6)  $false
% 186.19/30.59  | 
% 186.19/30.59  | CLOSE: (6) is inconsistent.
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1248 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)   ~ (all_4_2 = e0)
% 186.19/30.59    (2)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 186.19/30.59    (3)   ~ (e1 = e0)
% 186.19/30.59    (4)   ~ (e3 = e0)
% 186.19/30.59    (5)   ~ (e2 = e0)
% 186.19/30.59    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.19/30.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.19/30.59    (7)  all_56_12 = e2
% 186.19/30.59    (8)  op(e1, e3) = e1
% 186.19/30.59    (9)   ~ (e3 = e2)
% 186.19/30.59    (10)  op(e3, e3) = all_4_2
% 186.19/30.59    (11)  op(e2, e2) = e2
% 186.19/30.59    (12)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.19/30.59          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | BETA: splitting (2) gives:
% 186.19/30.59  | 
% 186.19/30.59  | Case 1:
% 186.19/30.59  | | 
% 186.19/30.59  | |   (13)  all_56_2 = e3 & op(e2, e3) = e3
% 186.19/30.59  | | 
% 186.19/30.59  | | ALPHA: (13) implies:
% 186.19/30.59  | |   (14)  op(e2, e3) = e3
% 186.19/30.59  | | 
% 186.19/30.59  | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (10), (12), (14) are
% 186.19/30.59  | |            inconsistent by sub-proof #1249.
% 186.19/30.59  | | 
% 186.19/30.59  | Case 2:
% 186.19/30.59  | | 
% 186.19/30.59  | |   (15)  all_56_3 = e3 & op(e2, e2) = e3
% 186.19/30.59  | | 
% 186.19/30.59  | | ALPHA: (15) implies:
% 186.19/30.59  | |   (16)  op(e2, e2) = e3
% 186.19/30.59  | | 
% 186.19/30.59  | | REF_CLOSE: (6), (9), (11), (16) are inconsistent by sub-proof #1602.
% 186.19/30.59  | | 
% 186.19/30.59  | End of split
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1249 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)   ~ (all_4_2 = e0)
% 186.19/30.59    (2)  op(e2, e3) = e3
% 186.19/30.59    (3)   ~ (e1 = e0)
% 186.19/30.59    (4)   ~ (e3 = e0)
% 186.19/30.59    (5)   ~ (e2 = e0)
% 186.19/30.59    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.19/30.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.19/30.59    (7)  all_56_12 = e2
% 186.19/30.59    (8)  op(e1, e3) = e1
% 186.19/30.59    (9)  op(e3, e3) = all_4_2
% 186.19/30.59    (10)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.19/30.59          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | BETA: splitting (10) gives:
% 186.19/30.59  | 
% 186.19/30.59  | Case 1:
% 186.19/30.59  | | 
% 186.19/30.59  | |   (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 186.19/30.59  | |           e0)
% 186.19/30.59  | | 
% 186.19/30.59  | | REF_CLOSE: (1), (2), (4), (6), (9), (11) are inconsistent by sub-proof
% 186.19/30.59  | |            #1595.
% 186.19/30.59  | | 
% 186.19/30.59  | Case 2:
% 186.19/30.59  | | 
% 186.19/30.59  | |   (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 186.19/30.59  | |           e0)
% 186.19/30.59  | | 
% 186.19/30.59  | | REF_CLOSE: (3), (5), (6), (7), (8), (12) are inconsistent by sub-proof
% 186.19/30.59  | |            #1250.
% 186.19/30.59  | | 
% 186.19/30.59  | End of split
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1250 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)   ~ (e1 = e0)
% 186.19/30.59    (2)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.19/30.59    (3)   ~ (e2 = e0)
% 186.19/30.59    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.19/30.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.19/30.59    (5)  all_56_12 = e2
% 186.19/30.59    (6)  op(e1, e3) = e1
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | BETA: splitting (2) gives:
% 186.19/30.59  | 
% 186.19/30.59  | Case 1:
% 186.19/30.59  | | 
% 186.19/30.59  | |   (7)  all_56_6 = e0 & op(e1, e3) = e0
% 186.19/30.59  | | 
% 186.19/30.59  | | ALPHA: (7) implies:
% 186.19/30.59  | |   (8)  op(e1, e3) = e0
% 186.19/30.59  | | 
% 186.19/30.59  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1251.
% 186.19/30.59  | | 
% 186.19/30.59  | Case 2:
% 186.19/30.59  | | 
% 186.19/30.59  | |   (9)  all_56_12 = e0 & op(e0, e3) = e0
% 186.19/30.59  | | 
% 186.19/30.59  | | REF_CLOSE: (3), (5), (9) are inconsistent by sub-proof #1553.
% 186.19/30.59  | | 
% 186.19/30.59  | End of split
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1251 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.19/30.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.19/30.59    (2)  op(e1, e3) = e1
% 186.19/30.59    (3)  op(e1, e3) = e0
% 186.19/30.59    (4)   ~ (e1 = e0)
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | GROUND_INST: instantiating (1) with e0, e1, e3, e1, simplifying with (2), (3)
% 186.19/30.59  |              gives:
% 186.19/30.59  |   (5)  e1 = e0
% 186.19/30.59  | 
% 186.19/30.59  | REDUCE: (4), (5) imply:
% 186.19/30.59  |   (6)  $false
% 186.19/30.59  | 
% 186.19/30.59  | CLOSE: (6) is inconsistent.
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1252 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.19/30.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.19/30.59    (2)  op(e1, e1) = e3
% 186.19/30.59    (3)  op(e1, e1) = e0
% 186.19/30.59    (4)   ~ (e3 = e0)
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | GROUND_INST: instantiating (1) with e0, e3, e1, e1, simplifying with (2), (3)
% 186.19/30.59  |              gives:
% 186.19/30.59  |   (5)  e3 = e0
% 186.19/30.59  | 
% 186.19/30.59  | REDUCE: (4), (5) imply:
% 186.19/30.59  |   (6)  $false
% 186.19/30.59  | 
% 186.19/30.59  | CLOSE: (6) is inconsistent.
% 186.19/30.59  | 
% 186.19/30.59  End of proof
% 186.19/30.59  
% 186.19/30.59  Sub-proof #1253 shows that the following formulas are inconsistent:
% 186.19/30.59  ----------------------------------------------------------------
% 186.19/30.59    (1)  all_54_6 = all_52_9
% 186.19/30.59    (2)   ~ (all_52_8 = all_52_11)
% 186.19/30.59    (3)  op(e3, e1) = e1
% 186.19/30.59    (4)   ~ (all_52_3 = e1)
% 186.19/30.59    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.19/30.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.19/30.59    (6)   ~ (all_52_9 = all_52_11)
% 186.19/30.59    (7)  all_54_6 = e3
% 186.19/30.59    (8)   ~ (all_52_3 = e0)
% 186.19/30.59    (9)  all_54_12 = all_52_3
% 186.19/30.59    (10)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 186.19/30.59    (11)  op(e3, e1) = all_52_8
% 186.19/30.59    (12)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 186.19/30.59    (13)   ~ (all_52_11 = e0)
% 186.19/30.59    (14)   ~ (all_52_3 = all_52_11)
% 186.19/30.59    (15)  all_54_14 = all_52_11
% 186.19/30.59  
% 186.19/30.59  Begin of proof
% 186.19/30.59  | 
% 186.19/30.59  | COMBINE_EQS: (1), (7) imply:
% 186.19/30.59  |   (16)  all_52_9 = e3
% 186.19/30.59  | 
% 186.19/30.59  | SIMP: (16) implies:
% 186.19/30.59  |   (17)  all_52_9 = e3
% 186.19/30.59  | 
% 186.19/30.59  | REDUCE: (6), (17) imply:
% 186.19/30.59  |   (18)   ~ (all_52_11 = e3)
% 186.19/30.59  | 
% 186.19/30.59  | SIMP: (18) implies:
% 186.24/30.59  |   (19)   ~ (all_52_11 = e3)
% 186.24/30.59  | 
% 186.24/30.59  | REF_CLOSE: (2), (3), (4), (5), (8), (9), (10), (11), (12), (13), (14), (15),
% 186.24/30.59  |            (19) are inconsistent by sub-proof #1254.
% 186.24/30.59  | 
% 186.24/30.59  End of proof
% 186.24/30.59  
% 186.24/30.59  Sub-proof #1254 shows that the following formulas are inconsistent:
% 186.24/30.59  ----------------------------------------------------------------
% 186.24/30.59    (1)   ~ (all_52_8 = all_52_11)
% 186.24/30.59    (2)  op(e3, e1) = e1
% 186.24/30.59    (3)   ~ (all_52_3 = e1)
% 186.24/30.59    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.24/30.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.24/30.59    (5)   ~ (all_52_3 = e0)
% 186.24/30.59    (6)  all_54_12 = all_52_3
% 186.24/30.59    (7)  all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 186.24/30.59    (8)  op(e3, e1) = all_52_8
% 186.24/30.59    (9)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 186.24/30.59    (10)   ~ (all_52_11 = e0)
% 186.24/30.59    (11)   ~ (all_52_3 = all_52_11)
% 186.24/30.59    (12)  all_54_14 = all_52_11
% 186.24/30.59    (13)   ~ (all_52_11 = e3)
% 186.24/30.59  
% 186.24/30.59  Begin of proof
% 186.24/30.59  | 
% 186.24/30.59  | BETA: splitting (7) gives:
% 186.24/30.59  | 
% 186.24/30.59  | Case 1:
% 186.24/30.59  | | 
% 186.24/30.59  | |   (14)  all_54_12 = e2
% 186.24/30.59  | | 
% 186.24/30.59  | | COMBINE_EQS: (6), (14) imply:
% 186.24/30.59  | |   (15)  all_52_3 = e2
% 186.24/30.59  | | 
% 186.24/30.59  | | SIMP: (15) implies:
% 186.24/30.59  | |   (16)  all_52_3 = e2
% 186.24/30.59  | | 
% 186.24/30.59  | | REDUCE: (11), (16) imply:
% 186.24/30.59  | |   (17)   ~ (all_52_11 = e2)
% 186.24/30.59  | | 
% 186.24/30.59  | | SIMP: (17) implies:
% 186.24/30.59  | |   (18)   ~ (all_52_11 = e2)
% 186.24/30.59  | | 
% 186.24/30.59  | | REF_CLOSE: (1), (2), (4), (8), (9), (10), (12), (13), (18) are inconsistent
% 186.24/30.59  | |            by sub-proof #1256.
% 186.24/30.59  | | 
% 186.24/30.59  | Case 2:
% 186.24/30.59  | | 
% 186.24/30.59  | |   (19)  all_54_12 = e1 | all_54_12 = e0
% 186.24/30.59  | | 
% 186.24/30.59  | | REF_CLOSE: (3), (5), (6), (19) are inconsistent by sub-proof #1255.
% 186.24/30.59  | | 
% 186.24/30.59  | End of split
% 186.24/30.59  | 
% 186.24/30.59  End of proof
% 186.24/30.59  
% 186.24/30.59  Sub-proof #1255 shows that the following formulas are inconsistent:
% 186.24/30.59  ----------------------------------------------------------------
% 186.24/30.59    (1)  all_54_12 = e1 | all_54_12 = e0
% 186.24/30.59    (2)  all_54_12 = all_52_3
% 186.24/30.59    (3)   ~ (all_52_3 = e1)
% 186.24/30.59    (4)   ~ (all_52_3 = e0)
% 186.24/30.59  
% 186.24/30.59  Begin of proof
% 186.24/30.59  | 
% 186.24/30.59  | BETA: splitting (1) gives:
% 186.24/30.59  | 
% 186.24/30.59  | Case 1:
% 186.24/30.59  | | 
% 186.24/30.59  | |   (5)  all_54_12 = e1
% 186.24/30.59  | | 
% 186.24/30.59  | | COMBINE_EQS: (2), (5) imply:
% 186.24/30.59  | |   (6)  all_52_3 = e1
% 186.24/30.59  | | 
% 186.24/30.59  | | REDUCE: (3), (6) imply:
% 186.24/30.59  | |   (7)  $false
% 186.24/30.59  | | 
% 186.24/30.59  | | CLOSE: (7) is inconsistent.
% 186.24/30.59  | | 
% 186.24/30.59  | Case 2:
% 186.24/30.59  | | 
% 186.24/30.59  | |   (8)  all_54_12 = e0
% 186.24/30.59  | | 
% 186.24/30.59  | | COMBINE_EQS: (2), (8) imply:
% 186.24/30.59  | |   (9)  all_52_3 = e0
% 186.24/30.59  | | 
% 186.24/30.59  | | REDUCE: (4), (9) imply:
% 186.24/30.59  | |   (10)  $false
% 186.24/30.59  | | 
% 186.24/30.59  | | CLOSE: (10) is inconsistent.
% 186.24/30.59  | | 
% 186.24/30.59  | End of split
% 186.24/30.59  | 
% 186.24/30.59  End of proof
% 186.24/30.59  
% 186.24/30.59  Sub-proof #1256 shows that the following formulas are inconsistent:
% 186.24/30.59  ----------------------------------------------------------------
% 186.24/30.59    (1)   ~ (all_52_8 = all_52_11)
% 186.24/30.59    (2)  op(e3, e1) = e1
% 186.24/30.59    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.24/30.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.24/30.59    (4)  op(e3, e1) = all_52_8
% 186.24/30.59    (5)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 186.24/30.59    (6)   ~ (all_52_11 = e0)
% 186.24/30.59    (7)  all_54_14 = all_52_11
% 186.24/30.59    (8)   ~ (all_52_11 = e3)
% 186.24/30.59    (9)   ~ (all_52_11 = e2)
% 186.24/30.59  
% 186.24/30.59  Begin of proof
% 186.24/30.59  | 
% 186.24/30.59  | BETA: splitting (5) gives:
% 186.24/30.59  | 
% 186.24/30.59  | Case 1:
% 186.24/30.59  | | 
% 186.24/30.59  | |   (10)  all_54_14 = e3
% 186.24/30.59  | | 
% 186.24/30.59  | | REF_CLOSE: (7), (8), (10) are inconsistent by sub-proof #1259.
% 186.24/30.59  | | 
% 186.24/30.59  | Case 2:
% 186.24/30.59  | | 
% 186.24/30.59  | |   (11)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 186.24/30.59  | | 
% 186.24/30.59  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (9), (11) are inconsistent by
% 186.24/30.59  | |            sub-proof #1257.
% 186.24/30.59  | | 
% 186.24/30.59  | End of split
% 186.24/30.59  | 
% 186.24/30.59  End of proof
% 186.24/30.59  
% 186.24/30.59  Sub-proof #1257 shows that the following formulas are inconsistent:
% 186.24/30.59  ----------------------------------------------------------------
% 186.24/30.59    (1)   ~ (all_52_8 = all_52_11)
% 186.24/30.59    (2)  op(e3, e1) = e1
% 186.24/30.59    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.24/30.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.24/30.59    (4)  op(e3, e1) = all_52_8
% 186.24/30.59    (5)   ~ (all_52_11 = e0)
% 186.24/30.59    (6)  all_54_14 = all_52_11
% 186.24/30.59    (7)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 186.24/30.59    (8)   ~ (all_52_11 = e2)
% 186.24/30.59  
% 186.24/30.59  Begin of proof
% 186.24/30.59  | 
% 186.24/30.59  | BETA: splitting (7) gives:
% 186.24/30.59  | 
% 186.24/30.59  | Case 1:
% 186.24/30.59  | | 
% 186.24/30.59  | |   (9)  all_54_14 = e2
% 186.24/30.59  | | 
% 186.24/30.59  | | COMBINE_EQS: (6), (9) imply:
% 186.24/30.59  | |   (10)  all_52_11 = e2
% 186.24/30.59  | | 
% 186.24/30.59  | | REDUCE: (8), (10) imply:
% 186.24/30.59  | |   (11)  $false
% 186.24/30.59  | | 
% 186.24/30.59  | | CLOSE: (11) is inconsistent.
% 186.24/30.59  | | 
% 186.24/30.59  | Case 2:
% 186.24/30.59  | | 
% 186.24/30.59  | |   (12)  all_54_14 = e1 | all_54_14 = e0
% 186.24/30.59  | | 
% 186.24/30.59  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (12) are inconsistent by sub-proof
% 186.24/30.59  | |            #1258.
% 186.24/30.59  | | 
% 186.24/30.59  | End of split
% 186.24/30.59  | 
% 186.24/30.59  End of proof
% 186.24/30.59  
% 186.24/30.59  Sub-proof #1258 shows that the following formulas are inconsistent:
% 186.24/30.59  ----------------------------------------------------------------
% 186.24/30.59    (1)   ~ (all_52_8 = all_52_11)
% 186.24/30.59    (2)  op(e3, e1) = e1
% 186.24/30.59    (3)  all_54_14 = e1 | all_54_14 = e0
% 186.24/30.59    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.24/30.59           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.24/30.59    (5)  op(e3, e1) = all_52_8
% 186.24/30.59    (6)   ~ (all_52_11 = e0)
% 186.24/30.59    (7)  all_54_14 = all_52_11
% 186.24/30.59  
% 186.24/30.59  Begin of proof
% 186.24/30.59  | 
% 186.24/30.59  | BETA: splitting (3) gives:
% 186.24/30.59  | 
% 186.24/30.59  | Case 1:
% 186.24/30.59  | | 
% 186.24/30.59  | |   (8)  all_54_14 = e1
% 186.24/30.59  | | 
% 186.24/30.59  | | COMBINE_EQS: (7), (8) imply:
% 186.24/30.59  | |   (9)  all_52_11 = e1
% 186.24/30.59  | | 
% 186.24/30.59  | | SIMP: (9) implies:
% 186.24/30.59  | |   (10)  all_52_11 = e1
% 186.24/30.59  | | 
% 186.24/30.59  | | REDUCE: (1), (10) imply:
% 186.24/30.59  | |   (11)   ~ (all_52_8 = e1)
% 186.24/30.59  | | 
% 186.24/30.59  | | REF_CLOSE: (2), (4), (5), (11) are inconsistent by sub-proof #1611.
% 186.24/30.59  | | 
% 186.24/30.59  | Case 2:
% 186.24/30.59  | | 
% 186.24/30.59  | |   (12)  all_54_14 = e0
% 186.24/30.59  | | 
% 186.24/30.59  | | REF_CLOSE: (6), (7), (12) are inconsistent by sub-proof #1306.
% 186.24/30.59  | | 
% 186.24/30.59  | End of split
% 186.24/30.59  | 
% 186.24/30.59  End of proof
% 186.24/30.59  
% 186.24/30.59  Sub-proof #1259 shows that the following formulas are inconsistent:
% 186.24/30.59  ----------------------------------------------------------------
% 186.24/30.59    (1)  all_54_14 = all_52_11
% 186.24/30.59    (2)  all_54_14 = e3
% 186.24/30.59    (3)   ~ (all_52_11 = e3)
% 186.24/30.59  
% 186.24/30.59  Begin of proof
% 186.24/30.59  | 
% 186.24/30.59  | COMBINE_EQS: (1), (2) imply:
% 186.24/30.59  |   (4)  all_52_11 = e3
% 186.24/30.59  | 
% 186.24/30.59  | SIMP: (4) implies:
% 186.24/30.59  |   (5)  all_52_11 = e3
% 186.24/30.59  | 
% 186.24/30.59  | REDUCE: (3), (5) imply:
% 186.24/30.59  |   (6)  $false
% 186.24/30.59  | 
% 186.24/30.59  | CLOSE: (6) is inconsistent.
% 186.24/30.59  | 
% 186.24/30.60  End of proof
% 186.24/30.60  
% 186.24/30.60  Sub-proof #1260 shows that the following formulas are inconsistent:
% 186.24/30.60  ----------------------------------------------------------------
% 186.24/30.60    (1)  op(e2, e1) = all_52_9
% 186.24/30.60    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.24/30.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.24/30.60    (3)  op(e2, e1) = all_57_20
% 186.24/30.60    (4)   ~ (all_52_9 = e2)
% 186.24/30.60    (5)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 186.24/30.60             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.24/30.60           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 186.24/30.60             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 186.24/30.60           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 186.24/30.60           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 186.24/30.60           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 186.24/30.60           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 186.24/30.60           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 186.24/30.60           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.24/30.60             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 186.24/30.60           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.24/30.60           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 186.24/30.60    (6)   ~ (all_52_7 = e2)
% 186.24/30.60    (7)  op(e0, e2) = all_52_7
% 186.24/30.60  
% 186.24/30.60  Begin of proof
% 186.24/30.60  | 
% 186.24/30.60  | BETA: splitting (5) gives:
% 186.24/30.60  | 
% 186.24/30.60  | Case 1:
% 186.24/30.60  | | 
% 186.24/30.60  | |   (8)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4
% 186.24/30.60  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 186.24/30.60  | |          e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 &
% 186.24/30.60  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 186.24/30.60  | |        all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 186.24/30.60  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 186.24/30.60  | |        $i(all_57_21) & $i(all_57_29)
% 186.24/30.60  | | 
% 186.24/30.60  | | ALPHA: (8) implies:
% 186.24/30.60  | |   (9)  op(e2, e1) = e2
% 186.24/30.60  | | 
% 186.24/30.60  | | REF_CLOSE: (1), (2), (3), (4), (9) are inconsistent by sub-proof #1327.
% 186.24/30.60  | | 
% 186.24/30.60  | Case 2:
% 186.24/30.60  | | 
% 186.24/30.60  | |   (10)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~
% 186.24/30.60  | |         (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 186.24/30.60  | |         (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20)
% 186.24/30.60  | |         = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 186.24/30.60  | |         op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 &
% 186.24/30.60  | |         op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.24/30.60  | |         $i(all_57_19) & $i(all_57_20) & $i(all_57_29)
% 186.24/30.60  | | 
% 186.24/30.60  | | ALPHA: (10) implies:
% 186.24/30.60  | |   (11)  op(e0, e2) = e2
% 186.24/30.60  | | 
% 186.24/30.60  | | REF_CLOSE: (2), (6), (7), (11) are inconsistent by sub-proof #1613.
% 186.24/30.60  | | 
% 186.24/30.60  | End of split
% 186.24/30.60  | 
% 186.24/30.60  End of proof
% 186.24/30.60  
% 186.24/30.60  Sub-proof #1261 shows that the following formulas are inconsistent:
% 186.24/30.60  ----------------------------------------------------------------
% 186.24/30.60    (1)   ~ (all_52_8 = e3)
% 186.24/30.60    (2)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 186.24/30.60             e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.24/30.60           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.24/30.60             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.24/30.60           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 186.24/30.60           $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 186.24/30.60           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3
% 186.24/30.60           & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 186.24/30.60           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 186.24/30.60           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.24/30.60             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 186.24/30.60             e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.24/30.60           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 186.24/30.60         (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 186.24/30.60             e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.24/30.60           op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 186.24/30.60             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 186.24/30.60           all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 186.24/30.60           & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 186.24/30.60           $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2
% 186.24/30.60           & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 186.24/30.60           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.24/30.60             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 186.24/30.60             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 186.24/30.60           op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 186.24/30.60           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 186.24/30.60           $i(all_57_29))
% 186.24/30.60    (3)   ~ (e3 = e0)
% 186.24/30.60    (4)  op(e3, e0) = all_52_12
% 186.24/30.60    (5)   ~ (e2 = e0)
% 186.24/30.60    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.24/30.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.24/30.60    (7)   ~ (all_52_12 = e3)
% 186.24/30.60    (8)  op(e3, e1) = all_52_8
% 186.24/30.60    (9)  op(e2, e3) = e0
% 186.24/30.60  
% 186.24/30.60  Begin of proof
% 186.24/30.60  | 
% 186.24/30.60  | BETA: splitting (2) gives:
% 186.24/30.60  | 
% 186.24/30.60  | Case 1:
% 186.24/30.60  | | 
% 186.24/30.60  | |   (10)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~
% 186.24/30.60  | |           (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~
% 186.24/30.60  | |           (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3,
% 186.24/30.60  | |             all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.24/30.60  | |             e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) = all_57_17 &
% 186.24/30.60  | |           op(e3, e0) = all_57_18 & op(e2, e3) = e3 & $i(all_57_0) &
% 186.24/30.60  | |           $i(all_57_2) & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.24/30.60  | |           $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3 &
% 186.24/30.60  | |           all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 186.24/30.60  | |           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.24/30.60  | |           all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) =
% 186.24/30.60  | |           all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 186.24/30.60  | |           op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.24/30.60  | |           $i(all_57_0) & $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 186.24/30.60  | |           $i(all_57_18) & $i(all_57_28))
% 186.24/30.60  | | 
% 186.24/30.60  | | REF_CLOSE: (1), (3), (6), (8), (9), (10) are inconsistent by sub-proof
% 186.24/30.60  | |            #1262.
% 186.24/30.60  | | 
% 186.24/30.60  | Case 2:
% 186.24/30.60  | | 
% 186.24/30.60  | |   (11)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~
% 186.24/30.60  | |           (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~
% 186.24/30.60  | |           (all_57_28 = e0) & op(e3, all_57_16) = all_57_1 & op(e3,
% 186.24/30.60  | |             all_57_17) = all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.24/30.60  | |             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) =
% 186.24/30.60  | |           all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3 & $i(all_57_0) &
% 186.24/30.60  | |           $i(all_57_1) & $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.24/30.60  | |           $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 = e2 &
% 186.24/30.60  | |           all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 186.24/30.60  | |           (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.24/30.60  | |             all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 186.24/30.60  | |             all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29
% 186.24/30.60  | |           & op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 186.24/30.60  | |           $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 186.24/30.60  | |           $i(all_57_29))
% 186.24/30.60  | | 
% 186.24/30.60  | | BETA: splitting (11) gives:
% 186.24/30.60  | | 
% 186.24/30.60  | | Case 1:
% 186.24/30.60  | | | 
% 186.24/30.60  | | |   (12)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~
% 186.24/30.60  | | |         (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~
% 186.24/30.60  | | |         (all_57_28 = e0) & op(e3, all_57_16) = all_57_1 & op(e3,
% 186.24/30.60  | | |           all_57_17) = all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.24/30.60  | | |           e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) =
% 186.24/30.60  | | |         all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3 & $i(all_57_0) &
% 186.24/30.60  | | |         $i(all_57_1) & $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.24/30.60  | | |         $i(all_57_28)
% 186.24/30.60  | | | 
% 186.24/30.60  | | | ALPHA: (12) implies:
% 186.24/30.60  | | |   (13)  op(e3, e0) = e3
% 186.24/30.60  | | | 
% 186.24/30.60  | | | REF_CLOSE: (4), (6), (7), (13) are inconsistent by sub-proof #1615.
% 186.24/30.60  | | | 
% 186.24/30.60  | | Case 2:
% 186.24/30.60  | | | 
% 186.24/30.60  | | |   (14)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~
% 186.24/30.60  | | |         (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~
% 186.24/30.60  | | |         (all_57_29 = e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6
% 186.24/30.60  | | |         & op(e2, all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.24/30.60  | | |         op(e2, e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20
% 186.24/30.60  | | |         & op(e2, e0) = all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 186.24/30.60  | | |         $i(all_57_7) & $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 186.24/30.60  | | | 
% 186.24/30.60  | | | ALPHA: (14) implies:
% 186.24/30.60  | | |   (15)  op(e2, e3) = e2
% 186.24/30.60  | | | 
% 186.24/30.60  | | | REF_CLOSE: (5), (6), (9), (15) are inconsistent by sub-proof #1412.
% 186.24/30.60  | | | 
% 186.24/30.60  | | End of split
% 186.24/30.60  | | 
% 186.24/30.60  | End of split
% 186.24/30.60  | 
% 186.24/30.60  End of proof
% 186.24/30.60  
% 186.24/30.60  Sub-proof #1262 shows that the following formulas are inconsistent:
% 186.24/30.60  ----------------------------------------------------------------
% 186.24/30.60    (1)   ~ (all_52_8 = e3)
% 186.24/30.60    (2)   ~ (e3 = e0)
% 186.24/30.60    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.24/30.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.24/30.60    (4)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 186.24/30.60             e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.24/30.60           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.24/30.60             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.24/30.60           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 186.24/30.60           $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 186.24/30.60           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3
% 186.24/30.60           & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 186.24/30.60           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 186.24/30.60           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.24/30.60             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 186.24/30.60             e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.24/30.60           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 186.24/30.60    (5)  op(e3, e1) = all_52_8
% 186.24/30.60    (6)  op(e2, e3) = e0
% 186.24/30.60  
% 186.24/30.60  Begin of proof
% 186.24/30.60  | 
% 186.24/30.60  | BETA: splitting (4) gives:
% 186.24/30.60  | 
% 186.24/30.60  | Case 1:
% 186.24/30.60  | | 
% 186.24/30.60  | |   (7)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0
% 186.24/30.60  | |          = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 =
% 186.24/30.60  | |          e2) & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 &
% 186.24/30.60  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 186.24/30.60  | |        e3 & op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 186.24/30.60  | |        e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 186.24/30.60  | |        $i(all_57_18) & $i(all_57_28)
% 186.24/30.60  | | 
% 186.24/30.60  | | ALPHA: (7) implies:
% 186.24/30.60  | |   (8)  op(e2, e3) = e3
% 186.24/30.60  | | 
% 186.24/30.60  | | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #1596.
% 186.24/30.60  | | 
% 186.24/30.60  | Case 2:
% 186.24/30.60  | | 
% 186.24/30.60  | |   (9)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0
% 186.24/30.60  | |          = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0) &  ~ (all_57_28 =
% 186.24/30.60  | |          e1) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_18) = all_57_3 &
% 186.24/30.60  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 186.24/30.60  | |        all_57_16 & op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1, e3) =
% 186.24/30.60  | |        e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 186.24/30.60  | |        $i(all_57_18) & $i(all_57_28)
% 186.24/30.60  | | 
% 186.24/30.60  | | ALPHA: (9) implies:
% 186.24/30.60  | |   (10)  op(e3, e1) = e3
% 186.24/30.60  | | 
% 186.24/30.60  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1346.
% 186.24/30.60  | | 
% 186.24/30.60  | End of split
% 186.24/30.60  | 
% 186.24/30.60  End of proof
% 186.24/30.60  
% 186.24/30.60  Sub-proof #1263 shows that the following formulas are inconsistent:
% 186.24/30.60  ----------------------------------------------------------------
% 186.24/30.60    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.24/30.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.24/30.60    (2)  op(e1, e2) = e3
% 186.24/30.60    (3)  op(e1, e2) = e1
% 186.24/30.60    (4)   ~ (e3 = e1)
% 186.24/30.60  
% 186.24/30.60  Begin of proof
% 186.24/30.60  | 
% 186.24/30.60  | GROUND_INST: instantiating (1) with e1, e3, e2, e1, simplifying with (2), (3)
% 186.24/30.60  |              gives:
% 186.24/30.60  |   (5)  e3 = e1
% 186.24/30.60  | 
% 186.24/30.60  | REDUCE: (4), (5) imply:
% 186.24/30.60  |   (6)  $false
% 186.24/30.60  | 
% 186.24/30.60  | CLOSE: (6) is inconsistent.
% 186.24/30.60  | 
% 186.24/30.60  End of proof
% 186.24/30.60  
% 186.24/30.60  Sub-proof #1264 shows that the following formulas are inconsistent:
% 186.24/30.60  ----------------------------------------------------------------
% 186.24/30.60    (1)   ~ (e1 = e0)
% 186.24/30.60    (2)  (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 186.24/30.60    (3)  all_56_1 = e0
% 186.24/30.60    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.24/30.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.24/30.60    (5)   ~ (e2 = e1)
% 186.24/30.60    (6)  op(e2, e2) = e2
% 186.24/30.60  
% 186.24/30.60  Begin of proof
% 186.24/30.60  | 
% 186.24/30.60  | BETA: splitting (2) gives:
% 186.24/30.60  | 
% 186.24/30.60  | Case 1:
% 186.24/30.60  | | 
% 186.24/30.60  | |   (7)  all_56_1 = e1 & op(e3, e2) = e1
% 186.24/30.60  | | 
% 186.24/30.60  | | ALPHA: (7) implies:
% 186.24/30.60  | |   (8)  all_56_1 = e1
% 186.24/30.60  | | 
% 186.24/30.60  | | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #1432.
% 186.24/30.60  | | 
% 186.24/30.60  | Case 2:
% 186.24/30.60  | | 
% 186.24/30.60  | |   (9)  all_56_3 = e1 & op(e2, e2) = e1
% 186.24/30.60  | | 
% 186.24/30.60  | | ALPHA: (9) implies:
% 186.24/30.60  | |   (10)  op(e2, e2) = e1
% 186.24/30.60  | | 
% 186.24/30.60  | | REF_CLOSE: (4), (5), (6), (10) are inconsistent by sub-proof #1487.
% 186.24/30.60  | | 
% 186.24/30.60  | End of split
% 186.24/30.60  | 
% 186.24/30.60  End of proof
% 186.24/30.60  
% 186.24/30.60  Sub-proof #1265 shows that the following formulas are inconsistent:
% 186.24/30.60  ----------------------------------------------------------------
% 186.24/30.60    (1)  all_54_12 = all_52_3
% 186.24/30.60    (2)  all_54_12 = e3
% 186.24/30.60    (3)   ~ (all_52_3 = e3)
% 186.24/30.60  
% 186.24/30.60  Begin of proof
% 186.24/30.60  | 
% 186.24/30.60  | COMBINE_EQS: (1), (2) imply:
% 186.24/30.60  |   (4)  all_52_3 = e3
% 186.24/30.60  | 
% 186.24/30.60  | SIMP: (4) implies:
% 186.24/30.60  |   (5)  all_52_3 = e3
% 186.24/30.60  | 
% 186.24/30.60  | REDUCE: (3), (5) imply:
% 186.24/30.60  |   (6)  $false
% 186.24/30.60  | 
% 186.24/30.60  | CLOSE: (6) is inconsistent.
% 186.24/30.60  | 
% 186.24/30.60  End of proof
% 186.24/30.60  
% 186.24/30.60  Sub-proof #1266 shows that the following formulas are inconsistent:
% 186.24/30.60  ----------------------------------------------------------------
% 186.24/30.60    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.24/30.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.24/30.60    (2)  op(e1, e1) = all_57_30
% 186.24/30.60    (3)  op(e1, e1) = e1
% 186.24/30.60    (4)   ~ (all_57_30 = e1)
% 186.24/30.60  
% 186.24/30.60  Begin of proof
% 186.24/30.60  | 
% 186.24/30.60  | GROUND_INST: instantiating (1) with e1, all_57_30, e1, e1, simplifying with
% 186.24/30.60  |              (2), (3) gives:
% 186.24/30.60  |   (5)  all_57_30 = e1
% 186.24/30.60  | 
% 186.24/30.60  | REDUCE: (4), (5) imply:
% 186.24/30.60  |   (6)  $false
% 186.24/30.60  | 
% 186.24/30.60  | CLOSE: (6) is inconsistent.
% 186.24/30.60  | 
% 186.24/30.60  End of proof
% 186.24/30.60  
% 186.24/30.60  Sub-proof #1267 shows that the following formulas are inconsistent:
% 186.24/30.60  ----------------------------------------------------------------
% 186.24/30.60    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.24/30.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.24/30.60    (2)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 186.24/30.60    (3)  op(e3, e3) = all_4_2
% 186.24/30.60    (4)   ~ (e2 = e1)
% 186.24/30.60    (5)  op(e2, e2) = e2
% 186.24/30.60    (6)   ~ (all_4_2 = e1)
% 186.24/30.60  
% 186.24/30.60  Begin of proof
% 186.24/30.60  | 
% 186.24/30.60  | BETA: splitting (2) gives:
% 186.24/30.60  | 
% 186.24/30.60  | Case 1:
% 186.24/30.60  | | 
% 186.24/30.60  | |   (7)  all_57_28 = e1 & op(e3, e3) = e1
% 186.24/30.60  | | 
% 186.24/30.60  | | ALPHA: (7) implies:
% 186.24/30.60  | |   (8)  op(e3, e3) = e1
% 186.24/30.60  | | 
% 186.24/30.60  | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #1525.
% 186.24/30.60  | | 
% 186.24/30.60  | Case 2:
% 186.24/30.60  | | 
% 186.25/30.60  | |   (9)  all_57_29 = e1 & op(e2, e2) = e1
% 186.25/30.60  | | 
% 186.25/30.60  | | ALPHA: (9) implies:
% 186.25/30.60  | |   (10)  op(e2, e2) = e1
% 186.25/30.60  | | 
% 186.25/30.60  | | REF_CLOSE: (1), (4), (5), (10) are inconsistent by sub-proof #1487.
% 186.25/30.60  | | 
% 186.25/30.60  | End of split
% 186.25/30.60  | 
% 186.25/30.60  End of proof
% 186.25/30.60  
% 186.25/30.60  Sub-proof #1268 shows that the following formulas are inconsistent:
% 186.25/30.60  ----------------------------------------------------------------
% 186.25/30.60    (1)  all_54_5 = all_10_2
% 186.25/30.60    (2)  all_54_5 = e3
% 186.25/30.60    (3)   ~ (all_10_2 = e3)
% 186.25/30.60  
% 186.25/30.60  Begin of proof
% 186.25/30.60  | 
% 186.25/30.60  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.60  |   (4)  all_10_2 = e3
% 186.25/30.60  | 
% 186.25/30.60  | SIMP: (4) implies:
% 186.25/30.60  |   (5)  all_10_2 = e3
% 186.25/30.60  | 
% 186.25/30.60  | REDUCE: (3), (5) imply:
% 186.25/30.60  |   (6)  $false
% 186.25/30.60  | 
% 186.25/30.60  | CLOSE: (6) is inconsistent.
% 186.25/30.60  | 
% 186.25/30.60  End of proof
% 186.25/30.60  
% 186.25/30.60  Sub-proof #1269 shows that the following formulas are inconsistent:
% 186.25/30.60  ----------------------------------------------------------------
% 186.25/30.60    (1)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 186.25/30.60    (2)   ~ (all_10_2 = e0)
% 186.25/30.60    (3)   ~ (all_10_2 = e1)
% 186.25/30.60    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.60    (5)  all_54_5 = all_10_2
% 186.25/30.60    (6)  (all_57_28 = e1 & op(e3, e3) = e1) | (all_57_29 = e1 & op(e2, e2) = e1)
% 186.25/30.60    (7)   ~ (all_10_2 = e3)
% 186.25/30.60    (8)  op(e3, e3) = all_4_2
% 186.25/30.60    (9)  op(e2, e2) = all_10_2
% 186.25/30.60    (10)   ~ (all_4_2 = e1)
% 186.25/30.60  
% 186.25/30.60  Begin of proof
% 186.25/30.60  | 
% 186.25/30.60  | BETA: splitting (6) gives:
% 186.25/30.60  | 
% 186.25/30.60  | Case 1:
% 186.25/30.60  | | 
% 186.25/30.60  | |   (11)  all_57_28 = e1 & op(e3, e3) = e1
% 186.25/30.60  | | 
% 186.25/30.60  | | ALPHA: (11) implies:
% 186.25/30.60  | |   (12)  op(e3, e3) = e1
% 186.25/30.60  | | 
% 186.25/30.60  | | REF_CLOSE: (4), (8), (10), (12) are inconsistent by sub-proof #1525.
% 186.25/30.60  | | 
% 186.25/30.60  | Case 2:
% 186.25/30.60  | | 
% 186.25/30.60  | |   (13)  all_57_29 = e1 & op(e2, e2) = e1
% 186.25/30.60  | | 
% 186.25/30.60  | | ALPHA: (13) implies:
% 186.25/30.60  | |   (14)  op(e2, e2) = e1
% 186.25/30.60  | | 
% 186.25/30.60  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (14) are inconsistent by
% 186.25/30.60  | |            sub-proof #1270.
% 186.25/30.60  | | 
% 186.25/30.60  | End of split
% 186.25/30.60  | 
% 186.25/30.60  End of proof
% 186.25/30.60  
% 186.25/30.60  Sub-proof #1270 shows that the following formulas are inconsistent:
% 186.25/30.60  ----------------------------------------------------------------
% 186.25/30.60    (1)  all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 186.25/30.60    (2)   ~ (all_10_2 = e0)
% 186.25/30.60    (3)   ~ (all_10_2 = e1)
% 186.25/30.60    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.60    (5)  all_54_5 = all_10_2
% 186.25/30.60    (6)  op(e2, e2) = e1
% 186.25/30.60    (7)   ~ (all_10_2 = e3)
% 186.25/30.60    (8)  op(e2, e2) = all_10_2
% 186.25/30.60  
% 186.25/30.60  Begin of proof
% 186.25/30.60  | 
% 186.25/30.60  | BETA: splitting (1) gives:
% 186.25/30.60  | 
% 186.25/30.60  | Case 1:
% 186.25/30.60  | | 
% 186.25/30.60  | |   (9)  all_54_5 = e3
% 186.25/30.60  | | 
% 186.25/30.60  | | COMBINE_EQS: (5), (9) imply:
% 186.25/30.60  | |   (10)  all_10_2 = e3
% 186.25/30.60  | | 
% 186.25/30.60  | | REDUCE: (7), (10) imply:
% 186.25/30.60  | |   (11)  $false
% 186.25/30.60  | | 
% 186.25/30.60  | | CLOSE: (11) is inconsistent.
% 186.25/30.60  | | 
% 186.25/30.60  | Case 2:
% 186.25/30.60  | | 
% 186.25/30.60  | |   (12)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 186.25/30.60  | | 
% 186.25/30.60  | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (12) are inconsistent by sub-proof
% 186.25/30.60  | |            #1271.
% 186.25/30.60  | | 
% 186.25/30.60  | End of split
% 186.25/30.60  | 
% 186.25/30.60  End of proof
% 186.25/30.60  
% 186.25/30.60  Sub-proof #1271 shows that the following formulas are inconsistent:
% 186.25/30.60  ----------------------------------------------------------------
% 186.25/30.60    (1)   ~ (all_10_2 = e0)
% 186.25/30.60    (2)   ~ (all_10_2 = e1)
% 186.25/30.60    (3)  all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 186.25/30.60    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.60           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.60    (5)  all_54_5 = all_10_2
% 186.25/30.60    (6)  op(e2, e2) = e1
% 186.25/30.60    (7)  op(e2, e2) = all_10_2
% 186.25/30.60  
% 186.25/30.60  Begin of proof
% 186.25/30.60  | 
% 186.25/30.60  | BETA: splitting (3) gives:
% 186.25/30.60  | 
% 186.25/30.60  | Case 1:
% 186.25/30.60  | | 
% 186.25/30.60  | |   (8)  all_54_5 = e2
% 186.25/30.60  | | 
% 186.25/30.60  | | COMBINE_EQS: (5), (8) imply:
% 186.25/30.60  | |   (9)  all_10_2 = e2
% 186.25/30.60  | | 
% 186.25/30.60  | | REDUCE: (2), (9) imply:
% 186.25/30.60  | |   (10)   ~ (e2 = e1)
% 186.25/30.60  | | 
% 186.25/30.60  | | REDUCE: (7), (9) imply:
% 186.25/30.60  | |   (11)  op(e2, e2) = e2
% 186.25/30.60  | | 
% 186.25/30.60  | | REF_CLOSE: (4), (6), (10), (11) are inconsistent by sub-proof #1487.
% 186.25/30.60  | | 
% 186.25/30.60  | Case 2:
% 186.25/30.60  | | 
% 186.25/30.60  | |   (12)  all_54_5 = e1 | all_54_5 = e0
% 186.25/30.60  | | 
% 186.25/30.60  | | REF_CLOSE: (1), (2), (5), (12) are inconsistent by sub-proof #1353.
% 186.25/30.60  | | 
% 186.25/30.60  | End of split
% 186.25/30.60  | 
% 186.25/30.60  End of proof
% 186.25/30.60  
% 186.25/30.60  Sub-proof #1272 shows that the following formulas are inconsistent:
% 186.25/30.60  ----------------------------------------------------------------
% 186.25/30.60    (1)   ~ (all_52_12 = all_4_2)
% 186.25/30.60    (2)   ~ (all_52_8 = all_52_11)
% 186.25/30.60    (3)  op(e0, e0) = all_6_2
% 186.25/30.60    (4)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 186.25/30.60    (5)   ~ (all_52_4 = all_52_12)
% 186.25/30.60    (6)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3) |
% 186.25/30.60         (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) = e3) |
% 186.25/30.60         ( ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 & $i(all_57_19))
% 186.25/30.60    (7)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 186.25/30.60    (8)   ~ (all_32_2 = e3) | ( ~ (all_32_0 = e2) & op(e3, e3) = all_32_0 &
% 186.25/30.60           $i(all_32_0)) | ( ~ (all_32_1 = e1) & op(e3, e0) = all_32_1 &
% 186.25/30.60           $i(all_32_1))
% 186.25/30.60    (9)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 186.25/30.60    (10)   ~ (all_4_2 = e0)
% 186.25/30.60    (11)   ~ (all_6_2 = e1)
% 186.25/30.60    (12)   ~ (all_52_8 = all_14_2)
% 186.25/30.60    (13)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 186.25/30.60          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.25/30.60    (14)   ~ (all_52_6 = all_52_14)
% 186.25/30.60    (15)   ~ (e1 = e0)
% 186.25/30.60    (16)  op(e1, e3) = all_52_2
% 186.25/30.60    (17)   ~ (all_52_1 = all_4_2)
% 186.25/30.60    (18)  op(e1, e0) = all_52_14
% 186.25/30.60    (19)  all_54_15 = all_6_2
% 186.25/30.60    (20)   ~ (all_52_13 = all_52_14)
% 186.25/30.60    (21)  all_54_0 = all_4_2
% 186.25/30.60    (22)  op(e1, e1) = all_14_2
% 186.25/30.60    (23)   ~ (e3 = e0)
% 186.25/30.60    (24)  op(e0, e3) = e1
% 186.25/30.60    (25)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 186.25/30.60          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.25/30.60    (26)   ~ (all_52_3 = all_52_7)
% 186.25/30.60    (27)   ~ (all_52_13 = all_6_2)
% 186.25/30.60    (28)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.25/30.60          (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.25/30.60    (29)  op(e2, e1) = all_52_9
% 186.25/30.60    (30)   ~ (all_52_11 = all_6_2)
% 186.25/30.60    (31)   ~ (all_52_14 = e1)
% 186.25/30.60    (32)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 186.25/30.60          | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 186.25/30.60            e2) | ( ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 & $i(all_57_23))
% 186.25/30.60    (33)  op(e3, e0) = all_52_12
% 186.25/30.60    (34)   ~ (e2 = e0)
% 186.25/30.60    (35)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 186.25/30.60          | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 186.25/30.60            e3) | ( ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 & $i(all_57_28))
% 186.25/30.60    (36)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.25/30.60          (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 186.25/30.60    (37)   ~ (all_52_8 = all_4_2)
% 186.25/30.60    (38)  all_54_13 = all_52_7
% 186.25/30.60    (39)   ~ (all_52_6 = all_52_7)
% 186.25/30.60    (40)   ~ (e3 = e1)
% 186.25/30.60    (41)   ~ (all_52_4 = all_52_7)
% 186.25/30.60    (42)   ~ (all_6_2 = e2)
% 186.25/30.60    (43)  all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 186.25/30.60    (44)   ~ (all_14_2 = e0)
% 186.25/30.60    (45)  all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 186.25/30.60    (46)   ~ (all_52_12 = all_52_14)
% 186.25/30.60    (47)  op(e2, e3) = all_52_1
% 186.25/30.60    (48)  all_54_4 = all_52_1
% 186.25/30.60    (49)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 186.25/30.60    (50)  all_30_2 = all_4_2
% 186.25/30.60    (51)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 186.25/30.60          | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 186.25/30.60            e3) | ( ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 & $i(all_57_22))
% 186.25/30.60    (52)  op(e0, e3) = all_52_3
% 186.25/30.60    (53)   ~ (all_52_4 = all_52_8)
% 186.25/30.60    (54)  all_54_10 = all_14_2
% 186.25/30.60    (55)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.25/30.60    (56)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.60            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.60    (57)   ~ (all_52_13 = e1)
% 186.25/30.60    (58)  all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 186.25/30.60    (59)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 186.25/30.60              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 186.25/30.60            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.25/30.60              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.25/30.60            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 186.25/30.60            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 186.25/30.60            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 186.25/30.60            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 186.25/30.60            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 186.25/30.60            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.25/30.60              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 186.25/30.60              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.25/30.60            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 186.25/30.60          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 186.25/30.60              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 186.25/30.60            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 186.25/30.60              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 186.25/30.60            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 186.25/30.60            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 186.25/30.60            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 186.25/30.60            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 186.25/30.60            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.25/30.60              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 186.25/30.60              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 186.25/30.60            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 186.25/30.60            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 186.25/30.60            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 186.25/30.60            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 186.25/30.60            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 186.25/30.60            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 186.25/30.60            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.25/30.60            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 186.25/30.60            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 186.25/30.60            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 186.25/30.60              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 186.25/30.60            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 186.25/30.60            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 186.25/30.60              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 186.25/30.60            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 186.25/30.60            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 186.25/30.60            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 186.25/30.60            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.60            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 186.25/30.60              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 186.25/30.60              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 186.25/30.60            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 186.25/30.60            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 186.25/30.60              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 186.25/30.60            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 186.25/30.60            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.25/30.60            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 186.25/30.60            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 186.25/30.60            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 186.25/30.60                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 186.25/30.60                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 186.25/30.60                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.60                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 186.25/30.60                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 186.25/30.60                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.25/30.60                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.25/30.60                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 186.25/30.60                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.25/30.60                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 186.25/30.60                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 186.25/30.60                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.25/30.60                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.25/30.60                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 186.25/30.60                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.60                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 186.25/30.60    (60)  all_54_11 = all_52_14
% 186.25/30.60    (61)   ~ (all_30_2 = e2) | ( ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 &
% 186.25/30.60            $i(all_30_0)) | ( ~ (all_30_1 = e0) & op(e2, e3) = all_30_1 &
% 186.25/30.60            $i(all_30_1))
% 186.25/30.60    (62)   ~ (all_52_8 = all_52_12)
% 186.25/30.60    (63)  all_32_2 = all_6_2
% 186.25/30.60    (64)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.25/30.60          (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 186.25/30.60    (65)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 186.25/30.60          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 186.25/30.60            e0) | ( ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 & $i(all_57_21))
% 186.25/30.60    (66)   ~ (all_14_2 = e3)
% 186.25/30.60    (67)   ~ (all_52_9 = all_52_11)
% 186.25/30.60    (68)  op(e2, e2) = e1
% 186.25/30.60    (69)  all_54_9 = all_52_6
% 186.25/30.60    (70)   ~ (all_52_8 = all_52_9)
% 186.25/30.60    (71)   ~ (all_52_7 = all_6_2)
% 186.25/30.60    (72)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.25/30.60          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.25/30.60            e1)
% 186.25/30.61    (73)   ~ (all_52_3 = all_4_2)
% 186.25/30.61    (74)  op(e2, e0) = all_52_13
% 186.25/30.61    (75)   ~ (e3 = e2)
% 186.25/30.61    (76)   ~ (all_52_14 = all_14_2)
% 186.25/30.61    (77)   ~ (all_52_2 = all_4_2)
% 186.25/30.61    (78)   ~ (all_52_12 = all_6_2)
% 186.25/30.61    (79)  all_54_2 = all_52_8
% 186.25/30.61    (80)   ~ (all_14_2 = e2)
% 186.25/30.61    (81)  op(e3, e1) = all_52_8
% 186.25/30.61    (82)   ~ (all_52_4 = all_52_6)
% 186.25/30.61    (83)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 186.25/30.61          | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 186.25/30.61            e2) | ( ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 & $i(all_57_16))
% 186.25/30.61    (84)  all_56_12 = e1
% 186.25/30.61    (85)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 186.25/30.61          | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 186.25/30.61            e2) | ( ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 & $i(all_57_29))
% 186.25/30.61    (86)  op(e3, e3) = all_4_2
% 186.25/30.61    (87)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 186.25/30.61          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 186.25/30.61    (88)   ~ (all_52_1 = all_52_3)
% 186.25/30.61    (89)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 186.25/30.61          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 186.25/30.61    (90)  all_54_10 = e1 | all_54_10 = e0
% 186.25/30.61    (91)   ~ (all_52_14 = all_6_2)
% 186.25/30.61    (92)  op(e3, e2) = all_52_4
% 186.25/30.61    (93)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 186.25/30.61          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 186.25/30.61            e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 & $i(all_57_18))
% 186.25/30.61    (94)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.25/30.61          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.25/30.61            e3)
% 186.25/30.61    (95)   ~ (all_52_4 = all_4_2)
% 186.25/30.61    (96)  op(e1, e2) = all_52_6
% 186.25/30.61    (97)  all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 186.25/30.61    (98)   ~ (e2 = e1)
% 186.25/30.61    (99)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.25/30.61          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.25/30.61            e2)
% 186.25/30.61    (100)  op(e0, e2) = all_52_7
% 186.25/30.61    (101)   ~ (all_52_9 = e1)
% 186.25/30.61    (102)  all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 186.25/30.61    (103)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) =
% 186.25/30.61                 e0) | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 186.25/30.61                 op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 186.25/30.61               (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 186.25/30.61                 e0)))
% 186.25/30.61    (104)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 186.25/30.61           | (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0, e0) =
% 186.25/30.61             e2) | ( ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 & $i(all_57_26))
% 186.25/30.61    (105)   ~ (all_52_3 = all_52_11)
% 186.25/30.61    (106)  all_54_14 = all_52_11
% 186.25/30.61    (107)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 186.25/30.61           | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 186.25/30.61             e3) | ( ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 & $i(all_57_25))
% 186.25/30.61    (108)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.25/30.61           (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.25/30.61    (109)   ~ (all_52_7 = all_52_11)
% 186.25/30.61    (110)  all_54_1 = all_52_4
% 186.25/30.61    (111)  op(e1, e1) = e1
% 186.25/30.61  
% 186.25/30.61  Begin of proof
% 186.25/30.61  | 
% 186.25/30.61  | BETA: splitting (25) gives:
% 186.25/30.61  | 
% 186.25/30.61  | Case 1:
% 186.25/30.61  | | 
% 186.25/30.61  | |   (112)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 186.25/30.61  | |            e1)
% 186.25/30.61  | | 
% 186.25/30.61  | | BETA: splitting (112) gives:
% 186.25/30.61  | | 
% 186.25/30.61  | | Case 1:
% 186.25/30.61  | | | 
% 186.25/30.61  | | |   (113)  all_56_9 = e1 & op(e3, e0) = e1
% 186.25/30.61  | | | 
% 186.25/30.61  | | | ALPHA: (113) implies:
% 186.25/30.61  | | |   (114)  all_56_9 = e1
% 186.25/30.61  | | |   (115)  op(e3, e0) = e1
% 186.25/30.61  | | | 
% 186.25/30.61  | | | GROUND_INST: instantiating (56) with all_52_3, e1, e3, e0, simplifying
% 186.25/30.61  | | |              with (24), (52) gives:
% 186.25/30.61  | | |   (116)  all_52_3 = e1
% 186.25/30.61  | | | 
% 186.25/30.61  | | | GROUND_INST: instantiating (56) with all_52_12, e1, e0, e3, simplifying
% 186.25/30.61  | | |              with (33), (115) gives:
% 186.25/30.61  | | |   (117)  all_52_12 = e1
% 186.25/30.61  | | | 
% 186.25/30.61  | | | REDUCE: (88), (116) imply:
% 186.25/30.61  | | |   (118)   ~ (all_52_1 = e1)
% 186.25/30.61  | | | 
% 186.25/30.61  | | | REDUCE: (26), (116) imply:
% 186.25/30.61  | | |   (119)   ~ (all_52_7 = e1)
% 186.25/30.61  | | | 
% 186.25/30.61  | | | SIMP: (119) implies:
% 186.25/30.61  | | |   (120)   ~ (all_52_7 = e1)
% 186.25/30.61  | | | 
% 186.25/30.61  | | | REDUCE: (105), (116) imply:
% 186.25/30.61  | | |   (121)   ~ (all_52_11 = e1)
% 186.25/30.61  | | | 
% 186.25/30.61  | | | SIMP: (121) implies:
% 186.25/30.61  | | |   (122)   ~ (all_52_11 = e1)
% 186.25/30.61  | | | 
% 186.25/30.61  | | | REDUCE: (5), (117) imply:
% 186.25/30.61  | | |   (123)   ~ (all_52_4 = e1)
% 186.25/30.61  | | | 
% 186.25/30.61  | | | REDUCE: (62), (117) imply:
% 186.25/30.61  | | |   (124)   ~ (all_52_8 = e1)
% 186.25/30.61  | | | 
% 186.25/30.61  | | | REDUCE: (46), (117) imply:
% 186.25/30.61  | | |   (125)   ~ (all_52_14 = e1)
% 186.25/30.61  | | | 
% 186.25/30.61  | | | REDUCE: (78), (117) imply:
% 186.25/30.61  | | |   (126)   ~ (all_6_2 = e1)
% 186.25/30.61  | | | 
% 186.25/30.61  | | | REDUCE: (1), (117) imply:
% 186.25/30.61  | | |   (127)   ~ (all_4_2 = e1)
% 186.25/30.61  | | | 
% 186.25/30.61  | | | SIMP: (127) implies:
% 186.25/30.61  | | |   (128)   ~ (all_4_2 = e1)
% 186.25/30.61  | | | 
% 186.25/30.61  | | | BETA: splitting (61) gives:
% 186.25/30.61  | | | 
% 186.25/30.61  | | | Case 1:
% 186.25/30.61  | | | | 
% 186.25/30.61  | | | |   (129)   ~ (all_30_2 = e2)
% 186.25/30.61  | | | | 
% 186.25/30.61  | | | | REDUCE: (50), (129) imply:
% 186.25/30.61  | | | |   (130)   ~ (all_4_2 = e2)
% 186.25/30.61  | | | | 
% 186.25/30.61  | | | | BETA: splitting (83) gives:
% 186.25/30.61  | | | | 
% 186.25/30.61  | | | | Case 1:
% 186.25/30.61  | | | | | 
% 186.25/30.61  | | | | |   (131)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2,
% 186.25/30.61  | | | | |              e2) = e2)
% 186.25/30.61  | | | | | 
% 186.25/30.61  | | | | | REF_CLOSE: (10), (21), (55), (56), (68), (86), (98), (128), (130),
% 186.25/30.61  | | | | |            (131) are inconsistent by sub-proof #1349.
% 186.25/30.61  | | | | | 
% 186.25/30.61  | | | | Case 2:
% 186.25/30.61  | | | | | 
% 186.25/30.61  | | | | |   (132)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 & op(e0,
% 186.25/30.61  | | | | |              e0) = e2) | ( ~ (all_57_16 = e3) & op(e3, e2) = all_57_16
% 186.25/30.61  | | | | |            & $i(all_57_16))
% 186.25/30.61  | | | | | 
% 186.25/30.61  | | | | | BETA: splitting (132) gives:
% 186.25/30.61  | | | | | 
% 186.25/30.61  | | | | | Case 1:
% 186.25/30.61  | | | | | | 
% 186.25/30.61  | | | | | |   (133)  all_57_30 = e2 & op(e1, e1) = e2
% 186.25/30.61  | | | | | | 
% 186.25/30.61  | | | | | | ALPHA: (133) implies:
% 186.25/30.61  | | | | | |   (134)  op(e1, e1) = e2
% 186.25/30.61  | | | | | | 
% 186.25/30.61  | | | | | | REF_CLOSE: (56), (98), (111), (134) are inconsistent by sub-proof
% 186.25/30.61  | | | | | |            #1473.
% 186.25/30.61  | | | | | | 
% 186.25/30.61  | | | | | Case 2:
% 186.25/30.61  | | | | | | 
% 186.25/30.61  | | | | | |   (135)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~ (all_57_16 = e3) &
% 186.25/30.61  | | | | | |            op(e3, e2) = all_57_16 & $i(all_57_16))
% 186.25/30.61  | | | | | | 
% 186.25/30.61  | | | | | | BETA: splitting (135) gives:
% 186.25/30.61  | | | | | | 
% 186.25/30.61  | | | | | | Case 1:
% 186.25/30.61  | | | | | | | 
% 186.25/30.61  | | | | | | |   (136)  all_57_31 = e2 & op(e0, e0) = e2
% 186.25/30.61  | | | | | | | 
% 186.25/30.61  | | | | | | | ALPHA: (136) implies:
% 186.25/30.61  | | | | | | |   (137)  op(e0, e0) = e2
% 186.25/30.61  | | | | | | | 
% 186.25/30.61  | | | | | | | REF_CLOSE: (3), (42), (56), (137) are inconsistent by sub-proof
% 186.25/30.61  | | | | | | |            #1511.
% 186.25/30.61  | | | | | | | 
% 186.25/30.61  | | | | | | Case 2:
% 186.25/30.61  | | | | | | | 
% 186.25/30.61  | | | | | | |   (138)   ~ (all_57_16 = e3) & op(e3, e2) = all_57_16 &
% 186.25/30.61  | | | | | | |          $i(all_57_16)
% 186.25/30.61  | | | | | | | 
% 186.25/30.61  | | | | | | | ALPHA: (138) implies:
% 186.25/30.61  | | | | | | |   (139)   ~ (all_57_16 = e3)
% 186.25/30.61  | | | | | | |   (140)  op(e3, e2) = all_57_16
% 186.25/30.61  | | | | | | | 
% 186.25/30.61  | | | | | | | BETA: splitting (104) gives:
% 186.25/30.61  | | | | | | | 
% 186.25/30.61  | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | 
% 186.25/30.61  | | | | | | | |   (141)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 &
% 186.25/30.61  | | | | | | | |            op(e2, e2) = e2)
% 186.25/30.61  | | | | | | | | 
% 186.25/30.61  | | | | | | | | REF_CLOSE: (10), (21), (55), (56), (68), (86), (98), (128),
% 186.25/30.61  | | | | | | | |            (130), (141) are inconsistent by sub-proof #1349.
% 186.25/30.61  | | | | | | | | 
% 186.25/30.61  | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | 
% 186.25/30.61  | | | | | | | |   (142)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 = e2 &
% 186.25/30.61  | | | | | | | |            op(e0, e0) = e2) | ( ~ (all_57_26 = e0) & op(e0, e2)
% 186.25/30.61  | | | | | | | |            = all_57_26 & $i(all_57_26))
% 186.25/30.61  | | | | | | | | 
% 186.25/30.61  | | | | | | | | BETA: splitting (142) gives:
% 186.25/30.61  | | | | | | | | 
% 186.25/30.61  | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | 
% 186.25/30.61  | | | | | | | | |   (143)  all_57_30 = e2 & op(e1, e1) = e2
% 186.25/30.61  | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | ALPHA: (143) implies:
% 186.25/30.61  | | | | | | | | |   (144)  op(e1, e1) = e2
% 186.25/30.61  | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | REF_CLOSE: (56), (98), (111), (144) are inconsistent by
% 186.25/30.61  | | | | | | | | |            sub-proof #1473.
% 186.25/30.61  | | | | | | | | | 
% 186.25/30.61  | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | 
% 186.25/30.61  | | | | | | | | |   (145)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~ (all_57_26 =
% 186.25/30.61  | | | | | | | | |              e0) & op(e0, e2) = all_57_26 & $i(all_57_26))
% 186.25/30.61  | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | BETA: splitting (145) gives:
% 186.25/30.61  | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | |   (146)  all_57_31 = e2 & op(e0, e0) = e2
% 186.25/30.61  | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | ALPHA: (146) implies:
% 186.25/30.61  | | | | | | | | | |   (147)  op(e0, e0) = e2
% 186.25/30.61  | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | REF_CLOSE: (3), (42), (56), (147) are inconsistent by
% 186.25/30.61  | | | | | | | | | |            sub-proof #1511.
% 186.25/30.61  | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | |   (148)   ~ (all_57_26 = e0) & op(e0, e2) = all_57_26 &
% 186.25/30.61  | | | | | | | | | |          $i(all_57_26)
% 186.25/30.61  | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | ALPHA: (148) implies:
% 186.25/30.61  | | | | | | | | | |   (149)   ~ (all_57_26 = e0)
% 186.25/30.61  | | | | | | | | | |   (150)  op(e0, e2) = all_57_26
% 186.25/30.61  | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | BETA: splitting (55) gives:
% 186.25/30.61  | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | |   (151)  all_54_0 = e3
% 186.25/30.61  | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | COMBINE_EQS: (21), (151) imply:
% 186.25/30.61  | | | | | | | | | | |   (152)  all_4_2 = e3
% 186.25/30.61  | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | SIMP: (152) implies:
% 186.25/30.61  | | | | | | | | | | |   (153)  all_4_2 = e3
% 186.25/30.61  | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | REDUCE: (37), (153) imply:
% 186.25/30.61  | | | | | | | | | | |   (154)   ~ (all_52_8 = e3)
% 186.25/30.61  | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | REDUCE: (86), (153) imply:
% 186.25/30.61  | | | | | | | | | | |   (155)  op(e3, e3) = e3
% 186.25/30.61  | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | BETA: splitting (32) gives:
% 186.25/30.61  | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | |   (156)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 186.25/30.61  | | | | | | | | | | | |            e2 & op(e2, e2) = e2)
% 186.25/30.61  | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | REF_CLOSE: (56), (68), (75), (98), (155), (156) are
% 186.25/30.61  | | | | | | | | | | | |            inconsistent by sub-proof #1348.
% 186.25/30.61  | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | |   (157)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 186.25/30.61  | | | | | | | | | | | |            e2 & op(e0, e0) = e2) | ( ~ (all_57_23 = e1) &
% 186.25/30.61  | | | | | | | | | | | |            op(e1, e2) = all_57_23 & $i(all_57_23))
% 186.25/30.61  | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | BETA: splitting (157) gives:
% 186.25/30.61  | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | |   (158)  all_57_30 = e2 & op(e1, e1) = e2
% 186.25/30.61  | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | ALPHA: (158) implies:
% 186.25/30.61  | | | | | | | | | | | | |   (159)  op(e1, e1) = e2
% 186.25/30.61  | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | REF_CLOSE: (56), (98), (111), (159) are inconsistent by
% 186.25/30.61  | | | | | | | | | | | | |            sub-proof #1473.
% 186.25/30.61  | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | |   (160)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 186.25/30.61  | | | | | | | | | | | | |            (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 186.25/30.61  | | | | | | | | | | | | |            $i(all_57_23))
% 186.25/30.61  | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | BETA: splitting (160) gives:
% 186.25/30.61  | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | |   (161)  all_57_31 = e2 & op(e0, e0) = e2
% 186.25/30.61  | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | ALPHA: (161) implies:
% 186.25/30.61  | | | | | | | | | | | | | |   (162)  op(e0, e0) = e2
% 186.25/30.61  | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | REF_CLOSE: (3), (42), (56), (162) are inconsistent by
% 186.25/30.61  | | | | | | | | | | | | | |            sub-proof #1511.
% 186.25/30.61  | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | |   (163)   ~ (all_57_23 = e1) & op(e1, e2) = all_57_23 &
% 186.25/30.61  | | | | | | | | | | | | | |          $i(all_57_23)
% 186.25/30.61  | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | ALPHA: (163) implies:
% 186.25/30.61  | | | | | | | | | | | | | |   (164)   ~ (all_57_23 = e1)
% 186.25/30.61  | | | | | | | | | | | | | |   (165)  op(e1, e2) = all_57_23
% 186.25/30.61  | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 186.25/30.61  | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | |   (166)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 =
% 186.25/30.61  | | | | | | | | | | | | | | |            e2 & op(e2, e2) = e2)
% 186.25/30.61  | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | REF_CLOSE: (56), (68), (75), (98), (155), (166) are
% 186.25/30.61  | | | | | | | | | | | | | | |            inconsistent by sub-proof #1348.
% 186.25/30.61  | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | |   (167)  (all_57_30 = e2 & op(e1, e1) = e2) | (all_57_31 =
% 186.25/30.61  | | | | | | | | | | | | | | |            e2 & op(e0, e0) = e2) | ( ~ (all_57_29 = e2) &
% 186.25/30.61  | | | | | | | | | | | | | | |            op(e2, e2) = all_57_29 & $i(all_57_29))
% 186.25/30.61  | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | |   (168)  all_57_30 = e2 & op(e1, e1) = e2
% 186.25/30.61  | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | ALPHA: (168) implies:
% 186.25/30.61  | | | | | | | | | | | | | | | |   (169)  op(e1, e1) = e2
% 186.25/30.61  | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | REF_CLOSE: (56), (98), (111), (169) are inconsistent by
% 186.25/30.61  | | | | | | | | | | | | | | | |            sub-proof #1473.
% 186.25/30.61  | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | |   (170)  (all_57_31 = e2 & op(e0, e0) = e2) | ( ~
% 186.25/30.61  | | | | | | | | | | | | | | | |            (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 186.25/30.61  | | | | | | | | | | | | | | | |            $i(all_57_29))
% 186.25/30.61  | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | |   (171)  all_57_31 = e2 & op(e0, e0) = e2
% 186.25/30.61  | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | ALPHA: (171) implies:
% 186.25/30.61  | | | | | | | | | | | | | | | | |   (172)  op(e0, e0) = e2
% 186.25/30.61  | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (42), (56), (172) are inconsistent by
% 186.25/30.61  | | | | | | | | | | | | | | | | |            sub-proof #1511.
% 186.25/30.61  | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | |   (173)   ~ (all_57_29 = e2) & op(e2, e2) = all_57_29 &
% 186.25/30.61  | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 186.25/30.61  | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | ALPHA: (173) implies:
% 186.25/30.61  | | | | | | | | | | | | | | | | |   (174)   ~ (all_57_29 = e2)
% 186.25/30.61  | | | | | | | | | | | | | | | | |   (175)  op(e2, e2) = all_57_29
% 186.25/30.61  | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with all_52_7, all_57_26, e2,
% 186.25/30.61  | | | | | | | | | | | | | | | | |              e0, simplifying with (100), (150) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | |   (176)  all_57_26 = all_52_7
% 186.25/30.61  | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with all_52_6, all_57_23, e2,
% 186.25/30.61  | | | | | | | | | | | | | | | | |              e1, simplifying with (96), (165) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | |   (177)  all_57_23 = all_52_6
% 186.25/30.61  | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e1, all_57_29, e2, e2,
% 186.25/30.61  | | | | | | | | | | | | | | | | |              simplifying with (68), (175) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | |   (178)  all_57_29 = e1
% 186.25/30.61  | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with all_52_4, all_57_16, e2,
% 186.25/30.61  | | | | | | | | | | | | | | | | |              e3, simplifying with (92), (140) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | |   (179)  all_57_16 = all_52_4
% 186.25/30.61  | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | REDUCE: (139), (179) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | |   (180)   ~ (all_52_4 = e3)
% 186.25/30.61  | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | REDUCE: (164), (177) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | |   (181)   ~ (all_52_6 = e1)
% 186.25/30.61  | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | REDUCE: (149), (176) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | |   (182)   ~ (all_52_7 = e0)
% 186.25/30.61  | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | REDUCE: (174), (178) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | |   (183)   ~ (e2 = e1)
% 186.25/30.61  | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | BETA: splitting (8) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | |   (184)   ~ (all_32_2 = e3)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | REDUCE: (63), (184) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | | |   (185)   ~ (all_6_2 = e3)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | BETA: splitting (4) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | |   (186)  all_54_15 = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (185), (186) are inconsistent by sub-proof
% 186.25/30.61  | | | | | | | | | | | | | | | | | | |            #1608.
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | |   (187)   ~ (all_54_15 = e3)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | |   (188)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | |   (189)  all_54_15 = e2
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (42), (189) are inconsistent by sub-proof
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | |            #1607.
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | |   (190)   ~ (all_54_15 = e2)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | |   (191)  all_54_15 = e1 | all_54_15 = e0
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | |   (192)  all_54_15 = e1
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (19), (192) are inconsistent by sub-proof
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | |            #1606.
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | |   (193)  all_54_15 = e0
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19), (193) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | |   (194)  all_6_2 = e0
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | SIMP: (194) implies:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | |   (195)  all_6_2 = e0
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (195) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | |   (196)   ~ (all_52_11 = e0)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | REDUCE: (27), (195) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | |   (197)   ~ (all_52_13 = e0)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (195) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | |   (198)   ~ (all_52_14 = e0)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (195) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | |   (199)   ~ (e3 = e0)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (195) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | |   (200)   ~ (e2 = e0)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (195) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | |   (201)   ~ (e1 = e0)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | |   (202)  all_56_15 = e0 & op(e0, e0) = e0
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (202) implies:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | |   (203)  all_56_15 = e0
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_54_14 = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (106), (204) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | |   (205)  all_52_11 = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (205) implies:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | |   (206)  all_52_11 = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (206) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | |   (207)   ~ (all_52_7 = e3)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (206) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | |   (208)   ~ (all_52_9 = e3)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | |   (209)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  all_56_2 = e3 & op(e2, e3) = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (210) implies:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_56_2 = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  op(e2, e3) = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (15), (23), (24), (28), (34), (56), (75),
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | |            (84), (86), (98), (108), (155), (211), (212) are
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1588.
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  all_56_3 = e3 & op(e2, e2) = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (213) implies:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  op(e2, e2) = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (68), (214) are inconsistent by
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1347.
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | |   (215)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  all_56_5 = e3 & op(e2, e1) = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (216) implies:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  op(e2, e1) = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (56), (208), (217) are inconsistent by
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1449.
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  all_56_10 = e3 & op(e2, e0) = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (218) implies:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  all_56_10 = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  op(e2, e0) = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  all_54_13 = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (38), (221) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_52_7 = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (207), (222) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  $false
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (223) is inconsistent.
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)   ~ (all_54_13 = e3)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (56), (81), (154), (208), (226) are
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1345.
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  all_56_8 = e3 & op(e1, e1) = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (228) implies:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  op(e1, e1) = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (111), (229) are inconsistent by
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1541.
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_56_14 = e3 & op(e0, e1) = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (230) implies:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_56_14 = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  all_54_13 = e2
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (38), (232) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_52_7 = e2
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (233) implies:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  all_52_7 = e2
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (234) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)   ~ (all_52_4 = e2)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (234) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (236)   ~ (all_52_6 = e2)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (207), (234) imply:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (237)   ~ (e3 = e2)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  all_54_1 = e3
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (180), (238) are inconsistent by sub-proof
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1344.
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)   ~ (all_54_1 = e3)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (59) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (81), (92), (154), (180), (242) are
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1343.
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (34), (40), (41), (52), (56), (75), (84),
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (92), (98), (99), (100), (203), (231), (243) are
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1339.
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 186.25/30.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_19) = all_57_4 & op(e2, all_57_21) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (246) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  op(e1, e2) = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (96), (236), (247) are inconsistent by
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1614.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_19) = all_57_4 & op(e2, all_57_20) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (248) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)   ~ (all_57_29 = e0)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  op(e2, e0) = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  op(e2, e1) = all_57_20
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  all_54_1 = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (235), (252) are inconsistent by sub-proof
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1338.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_54_1 = e1 | all_54_1 = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  all_54_1 = e1
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (123), (254) are inconsistent by sub-proof
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1337.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  all_54_1 = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (110), (255) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_52_4 = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (256) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_52_4 = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (257) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)   ~ (all_52_6 = e0)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (258) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)   ~ (all_52_6 = e0)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (257) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)   ~ (all_52_8 = e0)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (260) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)   ~ (all_52_8 = e0)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_54_9 = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (69), (262) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_52_6 = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (263) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)  all_52_6 = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (264) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)   ~ (all_52_14 = e3)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (265) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)   ~ (all_52_14 = e3)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_54_11 = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (266), (267) are inconsistent by sub-proof
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1336.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)   ~ (all_54_11 = e3)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_54_2 = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (154), (270) are inconsistent by sub-proof
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1335.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)   ~ (all_54_2 = e3)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_54_2 = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (79), (273) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_52_8 = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (274) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_52_8 = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (275) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)   ~ (all_52_9 = e2)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (276) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)   ~ (all_52_9 = e2)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e2)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_56_2 = e2 & op(e2, e3) = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (279) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  all_56_2 = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  op(e2, e3) = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (36) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e0)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_56_2 = e0 & op(e2, e3) = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (283) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  op(e2, e3) = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (56), (281), (284) are inconsistent by
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1412.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_56_3 = e0 & op(e2, e2) = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (285) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  op(e2, e2) = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (175), (249), (286) are inconsistent by
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1334.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e0) = e0)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_56_5 = e0 & op(e2, e1) = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (288) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  all_56_5 = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_54_11 = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (60), (290) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_52_14 = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (291) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  all_52_14 = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (292) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)   ~ (all_52_13 = e2)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (74), (250), (293) are inconsistent by
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1562.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_54_11 = e1 | all_54_11 = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (56), (60), (68), (75), (89), (198), (219),
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (220), (250), (266), (280), (289), (294) are
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1328.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  all_56_10 = e0 & op(e2, e0) = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (295) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  op(e2, e0) = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (74), (197), (296) are inconsistent by
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1504.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_56_3 = e2 & op(e2, e2) = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (297) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  op(e2, e2) = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (68), (98), (298) are inconsistent by
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1487.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e2, e0) = e2)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (56), (75), (219), (251), (277), (299) are
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1326.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_54_2 = e1 | all_54_2 = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (124), (261), (300) are inconsistent by
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1324.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (69), (181), (236), (259), (301) are inconsistent
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1319.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (18), (24), (29), (31), (56), (74), (81),
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (101), (124), (197), (198), (302) are inconsistent
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1314.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_54_13 = e1 | all_54_13 = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (120), (182), (303) are inconsistent by
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1311.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_54_14 = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (106), (305) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | |   (306)  all_52_11 = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (306) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | |   (307)  all_52_11 = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (307) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | |   (308)   ~ (all_52_7 = e2)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (59) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (81), (92), (154), (180), (310) are
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1343.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_17) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (312) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  op(e0, e3) = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (40), (52), (56), (313) are inconsistent by
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1529.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21) = all_57_7 & op(e2, all_57_29) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (314) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  all_57_16 = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  op(e2, e3) = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (179), (315) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  all_52_4 = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (317) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)   ~ (all_52_8 = e2)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (318) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)   ~ (all_52_8 = e2)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (317) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)   ~ (e3 = e2)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (317) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  op(e3, e2) = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  all_54_2 = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (154), (322) are inconsistent by sub-proof
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1335.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)   ~ (all_54_2 = e3)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (324) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_54_2 = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (319), (325) are inconsistent by sub-proof
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1480.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)   ~ (all_54_2 = e2)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_54_2 = e1 | all_54_2 = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_56_4 = e3 & op(e3, e1) = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (329) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  op(e3, e1) = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (79), (81), (124), (154), (327), (330) are
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1478.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_56_5 = e3 & op(e2, e1) = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (331) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  all_56_5 = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (23), (34), (36), (56), (68), (74), (197),
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (316), (332) are inconsistent by sub-proof #1308.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_56_8 = e3 & op(e1, e1) = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (334) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  op(e1, e1) = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12), (22), (49), (54), (56), (66), (79),
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (124), (154), (319), (335) are inconsistent
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1445.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  all_56_14 = e3 & op(e0, e1) = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (336) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_56_14 = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (41), (56), (75), (84), (92), (98), (99),
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (100), (203), (321), (337) are inconsistent by
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1340.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) & op(e2,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_19) = all_57_4 & op(e2, all_57_21) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (340) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)   ~ (all_57_29 = e1)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (341) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  $false
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (342) is inconsistent.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) & 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_19) = all_57_4 & op(e2, all_57_20) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_19 & op(e2, e2) = all_57_29 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (343) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  op(e0, e2) = e2
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (100), (308), (344) are inconsistent by
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1613.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (18), (24), (29), (31), (56), (74), (81),
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            (101), (124), (197), (198), (345) are inconsistent
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1314.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | |   (346)  all_54_14 = e1 | all_54_14 = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (106), (122), (196), (346) are inconsistent by
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1305.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | |   (347)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (347) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | |   (348)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | |              e0) = e0)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (18), (56), (74), (114), (197), (198), (348)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #1303.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.62  | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | |   (349)  all_32_2 = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (63), (349) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | |   (350)  all_6_2 = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | SIMP: (350) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | |   (351)  all_6_2 = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | REDUCE: (71), (351) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | |   (352)   ~ (all_52_7 = e3)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | REDUCE: (3), (351) imply:
% 186.25/30.62  | | | | | | | | | | | | | | | | | |   (353)  op(e0, e0) = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | |   (354)  all_54_13 = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (352), (354) are inconsistent by sub-proof
% 186.25/30.62  | | | | | | | | | | | | | | | | | | |            #1302.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | |   (355)   ~ (all_54_13 = e3)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | |   (356)  all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | |   (357)  all_56_15 = e0 & op(e0, e0) = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | ALPHA: (357) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | |   (358)  op(e0, e0) = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (56), (353), (358) are inconsistent by
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | |            sub-proof #1540.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | |   (359)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | ALPHA: (359) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | |   (360)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | |              e1) = e0)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | |   (361)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (361) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | |   (362)  all_56_4 = e3 & op(e3, e1) = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (362) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | |   (363)  op(e3, e1) = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (81), (154), (363) are inconsistent by
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1346.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | |   (364)  all_56_5 = e3 & op(e2, e1) = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (364) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | |   (365)  op(e2, e1) = e3
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | |   (366)  all_56_12 = e0 & op(e0, e3) = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (366) implies:
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | |   (367)  op(e0, e3) = e0
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (24), (56), (367) are inconsistent by
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1589.
% 186.25/30.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | |   (368)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | |   (369)  all_56_13 = e0 & op(e0, e2) = e0
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (369) implies:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | |   (370)  op(e0, e2) = e0
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (100), (182), (370) are inconsistent by
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1463.
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | |   (371)  all_56_14 = e0 & op(e0, e1) = e0
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (371) implies:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | |   (372)  all_56_14 = e0
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (356) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  all_54_13 = e2
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (38), (373) imply:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  all_52_7 = e2
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (374) implies:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  all_52_7 = e2
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (375) imply:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  all_57_26 = e2
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (375) imply:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (377)   ~ (e3 = e2)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (65) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e2) = e0)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (15), (56), (68), (86), (378) are
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1301.
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e0) = all_57_21 & $i(all_57_21))
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  all_57_30 = e0 & op(e1, e1) = e0
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (380) implies:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  op(e1, e1) = e0
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (56), (111), (381) are inconsistent by
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1619.
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_21))
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (382) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  all_57_31 = e0 & op(e0, e0) = e0
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (383) implies:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  op(e0, e0) = e0
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (56), (353), (384) are inconsistent by
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1540.
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_21)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (385) implies:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)   ~ (all_57_21 = e2)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  op(e2, e0) = all_57_21
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (59) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (81), (92), (154), (180), (389) are
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1343.
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (24), (34), (40), (41), (42), (52), (56),
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (84), (92), (98), (99), (100), (372), (390) are
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1298.
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (391) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (75), (365), (386), (387), (392) are
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1296.
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (394) implies:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)  op(e3, e1) = e1
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (81), (124), (395) are inconsistent by
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1611.
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (396) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (397) implies:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  op(e2, e1) = e1
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (365), (398) are inconsistent by
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1456.
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0))))
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (399) implies:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (31), (56), (376), (400) are inconsistent by
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1294.
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (401)  all_54_13 = e1 | all_54_13 = e0
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (120), (182), (401) are inconsistent by
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1311.
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | |   (402)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (11), (15), (23), (34), (40), (42), (56),
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | |            (72), (75), (98), (99), (100), (111), (182),
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | |            (360), (402) are inconsistent by sub-proof #1293.
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | |   (403)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | REF_CLOSE: (10), (21), (128), (130), (403) are inconsistent
% 186.25/30.63  | | | | | | | | | | |            by sub-proof #1354.
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | 
% 186.25/30.63  | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | 
% 186.25/30.63  | | | | | | | End of split
% 186.25/30.63  | | | | | | | 
% 186.25/30.63  | | | | | | End of split
% 186.25/30.63  | | | | | | 
% 186.25/30.63  | | | | | End of split
% 186.25/30.63  | | | | | 
% 186.25/30.63  | | | | End of split
% 186.25/30.63  | | | | 
% 186.25/30.63  | | | Case 2:
% 186.25/30.63  | | | | 
% 186.25/30.63  | | | |   (404)  all_30_2 = e2
% 186.25/30.63  | | | |   (405)  ( ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 & $i(all_30_0)) | (
% 186.25/30.63  | | | |            ~ (all_30_1 = e0) & op(e2, e3) = all_30_1 & $i(all_30_1))
% 186.25/30.63  | | | | 
% 186.25/30.63  | | | | COMBINE_EQS: (50), (404) imply:
% 186.25/30.63  | | | |   (406)  all_4_2 = e2
% 186.25/30.63  | | | | 
% 186.25/30.63  | | | | SIMP: (406) implies:
% 186.25/30.63  | | | |   (407)  all_4_2 = e2
% 186.25/30.63  | | | | 
% 186.25/30.63  | | | | REDUCE: (17), (407) imply:
% 186.25/30.63  | | | |   (408)   ~ (all_52_1 = e2)
% 186.25/30.63  | | | | 
% 186.25/30.63  | | | | REDUCE: (95), (407) imply:
% 186.25/30.63  | | | |   (409)   ~ (all_52_4 = e2)
% 186.25/30.63  | | | | 
% 186.25/30.63  | | | | REDUCE: (86), (407) imply:
% 186.25/30.63  | | | |   (410)  op(e3, e3) = e2
% 186.25/30.63  | | | | 
% 186.25/30.63  | | | | BETA: splitting (8) gives:
% 186.25/30.63  | | | | 
% 186.25/30.63  | | | | Case 1:
% 186.25/30.63  | | | | | 
% 186.25/30.63  | | | | |   (411)   ~ (all_32_2 = e3)
% 186.25/30.63  | | | | | 
% 186.25/30.63  | | | | | REDUCE: (63), (411) imply:
% 186.25/30.63  | | | | |   (412)   ~ (all_6_2 = e3)
% 186.25/30.63  | | | | | 
% 186.25/30.63  | | | | | BETA: splitting (405) gives:
% 186.25/30.63  | | | | | 
% 186.25/30.63  | | | | | Case 1:
% 186.25/30.63  | | | | | | 
% 186.25/30.63  | | | | | |   (413)   ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 & $i(all_30_0)
% 186.25/30.63  | | | | | | 
% 186.25/30.63  | | | | | | REF_CLOSE: (56), (68), (413) are inconsistent by sub-proof #1292.
% 186.25/30.63  | | | | | | 
% 186.25/30.63  | | | | | Case 2:
% 186.25/30.63  | | | | | | 
% 186.25/30.63  | | | | | |   (414)   ~ (all_30_1 = e0) & op(e2, e3) = all_30_1 & $i(all_30_1)
% 186.25/30.63  | | | | | | 
% 186.25/30.63  | | | | | | ALPHA: (414) implies:
% 186.25/30.63  | | | | | |   (415)   ~ (all_30_1 = e0)
% 186.25/30.63  | | | | | |   (416)  op(e2, e3) = all_30_1
% 186.25/30.63  | | | | | | 
% 186.25/30.63  | | | | | | BETA: splitting (4) gives:
% 186.25/30.63  | | | | | | 
% 186.25/30.63  | | | | | | Case 1:
% 186.25/30.63  | | | | | | | 
% 186.25/30.63  | | | | | | |   (417)  all_54_15 = e3
% 186.25/30.63  | | | | | | | 
% 186.25/30.63  | | | | | | | REF_CLOSE: (19), (412), (417) are inconsistent by sub-proof #1608.
% 186.25/30.63  | | | | | | | 
% 186.25/30.63  | | | | | | Case 2:
% 186.25/30.63  | | | | | | | 
% 186.25/30.63  | | | | | | |   (418)   ~ (all_54_15 = e3)
% 186.25/30.63  | | | | | | |   (419)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 186.25/30.63  | | | | | | | 
% 186.25/30.63  | | | | | | | BETA: splitting (419) gives:
% 186.25/30.63  | | | | | | | 
% 186.25/30.63  | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | 
% 186.25/30.63  | | | | | | | |   (420)  all_54_15 = e2
% 186.25/30.63  | | | | | | | | 
% 186.25/30.63  | | | | | | | | REF_CLOSE: (19), (42), (420) are inconsistent by sub-proof
% 186.25/30.63  | | | | | | | |            #1607.
% 186.25/30.63  | | | | | | | | 
% 186.25/30.63  | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | 
% 186.25/30.63  | | | | | | | |   (421)   ~ (all_54_15 = e2)
% 186.25/30.63  | | | | | | | |   (422)  all_54_15 = e1 | all_54_15 = e0
% 186.25/30.63  | | | | | | | | 
% 186.25/30.63  | | | | | | | | BETA: splitting (422) gives:
% 186.25/30.63  | | | | | | | | 
% 186.25/30.63  | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | 
% 186.25/30.63  | | | | | | | | |   (423)  all_54_15 = e1
% 186.25/30.63  | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | REF_CLOSE: (11), (19), (423) are inconsistent by sub-proof
% 186.25/30.63  | | | | | | | | |            #1606.
% 186.25/30.63  | | | | | | | | | 
% 186.25/30.63  | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | 
% 186.25/30.63  | | | | | | | | |   (424)  all_54_15 = e0
% 186.25/30.63  | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | COMBINE_EQS: (19), (424) imply:
% 186.25/30.63  | | | | | | | | |   (425)  all_6_2 = e0
% 186.25/30.63  | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | SIMP: (425) implies:
% 186.25/30.63  | | | | | | | | |   (426)  all_6_2 = e0
% 186.25/30.63  | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | REDUCE: (71), (426) imply:
% 186.25/30.63  | | | | | | | | |   (427)   ~ (all_52_7 = e0)
% 186.25/30.63  | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | REDUCE: (27), (426) imply:
% 186.25/30.63  | | | | | | | | |   (428)   ~ (all_52_13 = e0)
% 186.25/30.63  | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | REDUCE: (91), (426) imply:
% 186.25/30.63  | | | | | | | | |   (429)   ~ (all_52_14 = e0)
% 186.25/30.63  | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | REDUCE: (412), (426) imply:
% 186.25/30.63  | | | | | | | | |   (430)   ~ (e3 = e0)
% 186.25/30.63  | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | REDUCE: (42), (426) imply:
% 186.25/30.63  | | | | | | | | |   (431)   ~ (e2 = e0)
% 186.25/30.63  | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | REDUCE: (11), (426) imply:
% 186.25/30.63  | | | | | | | | |   (432)   ~ (e1 = e0)
% 186.25/30.63  | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | BETA: splitting (35) gives:
% 186.25/30.63  | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | |   (433)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 186.25/30.63  | | | | | | | | | |            e3 & op(e2, e2) = e3)
% 186.25/30.63  | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | BETA: splitting (433) gives:
% 186.25/30.63  | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | |   (434)  all_57_28 = e3 & op(e3, e3) = e3
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | ALPHA: (434) implies:
% 186.25/30.63  | | | | | | | | | | |   (435)  op(e3, e3) = e3
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | REF_CLOSE: (56), (75), (410), (435) are inconsistent by
% 186.25/30.63  | | | | | | | | | | |            sub-proof #1594.
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | |   (436)  all_57_29 = e3 & op(e2, e2) = e3
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | ALPHA: (436) implies:
% 186.25/30.63  | | | | | | | | | | |   (437)  op(e2, e2) = e3
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | REF_CLOSE: (40), (56), (68), (437) are inconsistent by
% 186.25/30.63  | | | | | | | | | | |            sub-proof #1347.
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | End of split
% 186.25/30.63  | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | |   (438)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 186.25/30.63  | | | | | | | | | |            e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 186.25/30.63  | | | | | | | | | |            op(e3, e3) = all_57_28 & $i(all_57_28))
% 186.25/30.63  | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | BETA: splitting (438) gives:
% 186.25/30.63  | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | |   (439)  all_57_30 = e3 & op(e1, e1) = e3
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | ALPHA: (439) implies:
% 186.25/30.63  | | | | | | | | | | |   (440)  op(e1, e1) = e3
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | REF_CLOSE: (40), (56), (111), (440) are inconsistent by
% 186.25/30.63  | | | | | | | | | | |            sub-proof #1541.
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | |   (441)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 186.25/30.63  | | | | | | | | | | |            (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 186.25/30.63  | | | | | | | | | | |            $i(all_57_28))
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | BETA: splitting (441) gives:
% 186.25/30.63  | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | |   (442)  all_57_31 = e3 & op(e0, e0) = e3
% 186.25/30.63  | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | ALPHA: (442) implies:
% 186.25/30.63  | | | | | | | | | | | |   (443)  op(e0, e0) = e3
% 186.25/30.63  | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | REF_CLOSE: (3), (11), (19), (56), (412), (422), (443) are
% 186.25/30.63  | | | | | | | | | | | |            inconsistent by sub-proof #1291.
% 186.25/30.63  | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | |   (444)   ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 186.25/30.63  | | | | | | | | | | | |          $i(all_57_28)
% 186.25/30.63  | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | ALPHA: (444) implies:
% 186.25/30.63  | | | | | | | | | | | |   (445)   ~ (all_57_28 = e3)
% 186.25/30.63  | | | | | | | | | | | |   (446)  op(e3, e3) = all_57_28
% 186.25/30.63  | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | BETA: splitting (103) gives:
% 186.25/30.63  | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | |   (447)  all_56_15 = e0 & op(e0, e0) = e0
% 186.25/30.63  | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | ALPHA: (447) implies:
% 186.25/30.63  | | | | | | | | | | | | |   (448)  all_56_15 = e0
% 186.25/30.63  | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | BETA: splitting (6) gives:
% 186.25/30.63  | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | |   (449)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 186.25/30.63  | | | | | | | | | | | | | |            e3 & op(e2, e2) = e3)
% 186.25/30.63  | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (68), (445), (446), (449) are
% 186.25/30.63  | | | | | | | | | | | | | |            inconsistent by sub-proof #1290.
% 186.25/30.63  | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | |   (450)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 186.25/30.63  | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 186.25/30.63  | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & $i(all_57_19))
% 186.25/30.63  | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 186.25/30.63  | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | |   (451)  all_57_30 = e3 & op(e1, e1) = e3
% 186.25/30.63  | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | ALPHA: (451) implies:
% 186.25/30.63  | | | | | | | | | | | | | | |   (452)  op(e1, e1) = e3
% 186.25/30.63  | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (111), (452) are inconsistent by
% 186.25/30.63  | | | | | | | | | | | | | | |            sub-proof #1541.
% 186.25/30.63  | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | |   (453)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 186.25/30.63  | | | | | | | | | | | | | | |            (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 186.25/30.63  | | | | | | | | | | | | | | |            $i(all_57_19))
% 186.25/30.63  | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | BETA: splitting (453) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | |   (454)  all_57_31 = e3 & op(e0, e0) = e3
% 186.25/30.63  | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | ALPHA: (454) implies:
% 186.25/30.63  | | | | | | | | | | | | | | | |   (455)  op(e0, e0) = e3
% 186.25/30.63  | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (11), (19), (56), (412), (422), (455) are
% 186.25/30.63  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1291.
% 186.25/30.63  | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | |   (456)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 186.25/30.63  | | | | | | | | | | | | | | | |          $i(all_57_19)
% 186.25/30.63  | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | ALPHA: (456) implies:
% 186.25/30.63  | | | | | | | | | | | | | | | |   (457)  op(e2, e3) = all_57_19
% 186.25/30.63  | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | BETA: splitting (51) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | |   (458)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 186.25/30.63  | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = e3)
% 186.25/30.63  | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (68), (445), (446), (458) are
% 186.25/30.63  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1290.
% 186.25/30.63  | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | |   (459)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 186.25/30.63  | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 186.25/30.63  | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_22 & $i(all_57_22))
% 186.25/30.63  | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | BETA: splitting (459) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | |   (460)  all_57_30 = e3 & op(e1, e1) = e3
% 186.25/30.63  | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | ALPHA: (460) implies:
% 186.25/30.63  | | | | | | | | | | | | | | | | | |   (461)  op(e1, e1) = e3
% 186.25/30.63  | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (111), (461) are inconsistent by
% 186.25/30.63  | | | | | | | | | | | | | | | | | |            sub-proof #1541.
% 186.25/30.63  | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | |   (462)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | |            (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | |            $i(all_57_22))
% 186.25/30.63  | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | BETA: splitting (462) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | |   (463)  all_57_31 = e3 & op(e0, e0) = e3
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | ALPHA: (463) implies:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | |   (464)  op(e0, e0) = e3
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (11), (19), (56), (412), (422), (464) are
% 186.25/30.63  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1291.
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | |   (465)   ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | |          $i(all_57_22)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | ALPHA: (465) implies:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | |   (466)  op(e1, e3) = all_57_22
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | |   (467)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = e3)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (68), (445), (446), (467) are
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1290.
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | |   (468)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3) | ( ~ (all_57_25 = e0) &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = all_57_25 & $i(all_57_25))
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | BETA: splitting (468) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | |   (469)  all_57_30 = e3 & op(e1, e1) = e3
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | ALPHA: (469) implies:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | |   (470)  op(e1, e1) = e3
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (111), (470) are inconsistent by
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1541.
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | |   (471)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | |            (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | |            $i(all_57_25))
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (471) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | |   (472)  all_57_31 = e3 & op(e0, e0) = e3
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (472) implies:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | |   (473)  op(e0, e0) = e3
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (11), (19), (56), (412), (422), (473) are
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1291.
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | |   (474)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_25)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (474) implies:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | |   (475)   ~ (all_57_25 = e0)
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | |   (476)  op(e0, e3) = all_57_25
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e1, all_57_25, e3, e0,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (24), (476) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | |   (477)  all_57_25 = e1
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with all_52_2, all_57_22, e3,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | |              e1, simplifying with (16), (466) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | |   (478)  all_57_22 = all_52_2
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with all_52_1, all_57_19, e3,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (47), (457) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | |   (479)  all_57_19 = all_52_1
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with all_30_1, all_57_19, e3,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (416), (457) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | |   (480)  all_57_19 = all_30_1
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (56) with e2, all_57_28, e3, e3,
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | |              simplifying with (410), (446) gives:
% 186.25/30.63  | | | | | | | | | | | | | | | | | | | | | |   (481)  all_57_28 = e2
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (480) imply:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | |   (482)  all_52_1 = all_30_1
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (48), (482) imply:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | |   (483)  all_54_4 = all_30_1
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (445), (481) imply:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | |   (484)   ~ (e3 = e2)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (408), (482) imply:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | |   (485)   ~ (all_30_1 = e2)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (482) imply:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | |   (486)   ~ (all_30_1 = e1)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (36) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | |   (487)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e0)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15), (56), (68), (415), (416), (483), (485),
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | |            (486), (487) are inconsistent by sub-proof #1287.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | |   (488)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e2, e0) = e0)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (488) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | |   (489)  all_56_5 = e0 & op(e2, e1) = e0
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (489) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | |   (490)  all_56_5 = e0
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (491)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (491) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (492)  all_56_4 = e2 & op(e3, e1) = e2
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (492) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (493)  all_56_4 = e2
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (108) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (494)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e0)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (56), (86), (415), (416), (483), (485),
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (486), (494) are inconsistent by sub-proof #1286.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (495)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (495) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (496)  all_56_6 = e0 & op(e1, e3) = e0
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (496) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (497)  op(e1, e3) = e0
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (498)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (498) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (499)  all_56_4 = e3 & op(e3, e1) = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (499) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (500)  all_56_4 = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (75), (493), (500) are inconsistent by sub-proof
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1285.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (501)  all_56_5 = e3 & op(e2, e1) = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (490), (501) are inconsistent by sub-proof
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1332.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (502)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (502) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (503)  all_56_8 = e3 & op(e1, e1) = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (503) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (504)  op(e1, e1) = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (56), (111), (504) are inconsistent by
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1541.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (505)  all_56_14 = e3 & op(e0, e1) = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (505) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (506)  all_56_14 = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (507)  all_54_4 = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (507) imply:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (508)  all_30_1 = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (508) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (509)  all_30_1 = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (416), (509) imply:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (510)  op(e2, e3) = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (59) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (511)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (511) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (512)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (21), (23), (24), (52), (55), (56), (73),
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (86), (92), (95), (497), (512) are
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1283.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (513)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (34), (40), (41), (52), (56), (75), (84),
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (92), (98), (99), (100), (448), (506), (513) are
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1339.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (514)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (514) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (515)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (510), (515) are inconsistent by sub-proof
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1281.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (516)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (29), (44), (54), (56), (74), (76), (81),
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (101), (124), (428), (429), (475), (516) are
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1277.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (517)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (415), (483), (485), (486), (517) are inconsistent
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1289.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (518)  all_56_12 = e0 & op(e0, e3) = e0
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (518) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (519)  op(e0, e3) = e0
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (24), (56), (519) are inconsistent by
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1589.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (520)  all_56_5 = e2 & op(e2, e1) = e2
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (520) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (521)  all_56_5 = e2
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (490), (521) are inconsistent by sub-proof
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1276.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |   (522)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | |            e2 & op(e0, e1) = e2)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (522) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (523)  all_56_8 = e2 & op(e1, e1) = e2
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (523) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (524)  op(e1, e1) = e2
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (98), (111), (524) are inconsistent by
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1473.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (525)  all_56_14 = e2 & op(e0, e1) = e2
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (525) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | |   (526)  all_56_14 = e2
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (527)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (527) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (528)  all_56_12 = e3 & op(e0, e3) = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (528) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (529)  op(e0, e3) = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (40), (52), (56), (529) are inconsistent by
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1529.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (530)  all_56_13 = e3 & op(e0, e2) = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (530) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (531)  all_56_13 = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (108) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (532)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e0)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (56), (86), (415), (416), (483), (485),
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (486), (532) are inconsistent by sub-proof #1286.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (533)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e3) = e0)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (533) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (534)  all_56_6 = e0 & op(e1, e3) = e0
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (534) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (535)  op(e1, e3) = e0
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (536)  all_54_4 = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (536) imply:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (537)  all_30_1 = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (537) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (538)  all_30_1 = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (416), (538) imply:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (539)  op(e2, e3) = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (59) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (540)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (540) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (541)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (21), (23), (24), (52), (55), (56), (73),
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (77), (86), (92), (95), (535), (541) are
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1283.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (542)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (542) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (543)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_17) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (543) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (544)  op(e0, e3) = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (11), (40), (52), (56), (72), (98), (526),
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (531), (544) are inconsistent by sub-proof #1457.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (545)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21) = all_57_7 & op(e2, all_57_29) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (545) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (546)  op(e3, e2) = e2
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (92), (409), (546) are inconsistent by
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1382.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (547)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (547) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (548)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (539), (548) are inconsistent by sub-proof
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1281.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (549)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (29), (44), (54), (56), (74), (76), (81),
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (90), (101), (124), (428), (429), (475), (549) are
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1277.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (550)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (415), (483), (485), (486), (550) are inconsistent
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1289.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (551)  all_56_12 = e0 & op(e0, e3) = e0
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (551) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (552)  op(e0, e3) = e0
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (24), (56), (552) are inconsistent by
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1589.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (553)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (553) gives:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (554)  all_56_14 = e3 & op(e0, e1) = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (75), (526), (554) are inconsistent by sub-proof
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1275.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (555)  all_56_15 = e3 & op(e0, e0) = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (555) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (556)  op(e0, e0) = e3
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (23), (34), (56), (84), (100), (103), (427),
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (526), (556) are inconsistent by sub-proof #1274.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | |   (557)  all_56_10 = e0 & op(e2, e0) = e0
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (557) implies:
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | |   (558)  op(e2, e0) = e0
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (74), (428), (558) are inconsistent by
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1504.
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | | End of split
% 186.25/30.64  | | | | | | | | | | | | | 
% 186.25/30.64  | | | | | | | | | | | | Case 2:
% 186.25/30.64  | | | | | | | | | | | | | 
% 186.25/30.65  | | | | | | | | | | | | |   (559)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.25/30.65  | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 186.25/30.65  | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 186.25/30.65  | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.25/30.65  | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 186.25/30.65  | | | | | | | | | | | | | 
% 186.25/30.65  | | | | | | | | | | | | | ALPHA: (559) implies:
% 186.25/30.65  | | | | | | | | | | | | |   (560)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.25/30.65  | | | | | | | | | | | | |            e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 186.25/30.65  | | | | | | | | | | | | |              e0) = e0)
% 186.25/30.65  | | | | | | | | | | | | | 
% 186.25/30.65  | | | | | | | | | | | | | REF_CLOSE: (15), (18), (56), (74), (114), (428), (429), (560)
% 186.25/30.65  | | | | | | | | | | | | |            are inconsistent by sub-proof #1303.
% 186.25/30.65  | | | | | | | | | | | | | 
% 186.25/30.65  | | | | | | | | | | | | End of split
% 186.25/30.65  | | | | | | | | | | | | 
% 186.25/30.65  | | | | | | | | | | | End of split
% 186.25/30.65  | | | | | | | | | | | 
% 186.25/30.65  | | | | | | | | | | End of split
% 186.25/30.65  | | | | | | | | | | 
% 186.25/30.65  | | | | | | | | | End of split
% 186.25/30.65  | | | | | | | | | 
% 186.25/30.65  | | | | | | | | End of split
% 186.25/30.65  | | | | | | | | 
% 186.25/30.65  | | | | | | | End of split
% 186.25/30.65  | | | | | | | 
% 186.25/30.65  | | | | | | End of split
% 186.25/30.65  | | | | | | 
% 186.25/30.65  | | | | | End of split
% 186.25/30.65  | | | | | 
% 186.25/30.65  | | | | Case 2:
% 186.25/30.65  | | | | | 
% 186.25/30.65  | | | | |   (561)  all_32_2 = e3
% 186.25/30.65  | | | | |   (562)  ( ~ (all_32_0 = e2) & op(e3, e3) = all_32_0 & $i(all_32_0)) |
% 186.25/30.65  | | | | |          ( ~ (all_32_1 = e1) & op(e3, e0) = all_32_1 & $i(all_32_1))
% 186.25/30.65  | | | | | 
% 186.25/30.65  | | | | | COMBINE_EQS: (63), (561) imply:
% 186.25/30.65  | | | | |   (563)  all_6_2 = e3
% 186.25/30.65  | | | | | 
% 186.25/30.65  | | | | | REDUCE: (3), (563) imply:
% 186.25/30.65  | | | | |   (564)  op(e0, e0) = e3
% 186.25/30.65  | | | | | 
% 186.25/30.65  | | | | | BETA: splitting (93) gives:
% 186.25/30.65  | | | | | 
% 186.25/30.65  | | | | | Case 1:
% 186.25/30.65  | | | | | | 
% 186.25/30.65  | | | | | |   (565)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 &
% 186.25/30.65  | | | | | |            op(e2, e2) = e0)
% 186.25/30.65  | | | | | | 
% 186.25/30.65  | | | | | | REF_CLOSE: (10), (15), (56), (68), (86), (565) are inconsistent by
% 186.25/30.65  | | | | | |            sub-proof #1301.
% 186.25/30.65  | | | | | | 
% 186.25/30.65  | | | | | Case 2:
% 186.25/30.65  | | | | | | 
% 186.25/30.65  | | | | | |   (566)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 &
% 186.25/30.65  | | | | | |            op(e0, e0) = e0) | ( ~ (all_57_18 = e3) & op(e3, e0) =
% 186.25/30.65  | | | | | |            all_57_18 & $i(all_57_18))
% 186.25/30.65  | | | | | | 
% 186.25/30.65  | | | | | | BETA: splitting (566) gives:
% 186.25/30.65  | | | | | | 
% 186.25/30.65  | | | | | | Case 1:
% 186.25/30.65  | | | | | | | 
% 186.25/30.65  | | | | | | |   (567)  all_57_30 = e0 & op(e1, e1) = e0
% 186.25/30.65  | | | | | | | 
% 186.25/30.65  | | | | | | | ALPHA: (567) implies:
% 186.25/30.65  | | | | | | |   (568)  op(e1, e1) = e0
% 186.25/30.65  | | | | | | | 
% 186.25/30.65  | | | | | | | REF_CLOSE: (15), (56), (111), (568) are inconsistent by sub-proof
% 186.25/30.65  | | | | | | |            #1619.
% 186.25/30.65  | | | | | | | 
% 186.25/30.65  | | | | | | Case 2:
% 186.25/30.65  | | | | | | | 
% 186.25/30.65  | | | | | | |   (569)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3)
% 186.25/30.65  | | | | | | |            & op(e3, e0) = all_57_18 & $i(all_57_18))
% 186.25/30.65  | | | | | | | 
% 186.25/30.65  | | | | | | | BETA: splitting (569) gives:
% 186.25/30.65  | | | | | | | 
% 186.25/30.65  | | | | | | | Case 1:
% 186.25/30.65  | | | | | | | | 
% 186.25/30.65  | | | | | | | |   (570)  all_57_31 = e0 & op(e0, e0) = e0
% 186.25/30.65  | | | | | | | | 
% 186.25/30.65  | | | | | | | | ALPHA: (570) implies:
% 186.25/30.65  | | | | | | | |   (571)  op(e0, e0) = e0
% 186.25/30.65  | | | | | | | | 
% 186.25/30.65  | | | | | | | | REF_CLOSE: (23), (56), (564), (571) are inconsistent by
% 186.25/30.65  | | | | | | | |            sub-proof #1540.
% 186.25/30.65  | | | | | | | | 
% 186.25/30.65  | | | | | | | Case 2:
% 186.25/30.65  | | | | | | | | 
% 186.25/30.65  | | | | | | | |   (572)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 186.25/30.65  | | | | | | | |          $i(all_57_18)
% 186.25/30.65  | | | | | | | | 
% 186.25/30.65  | | | | | | | | ALPHA: (572) implies:
% 186.25/30.65  | | | | | | | |   (573)  op(e3, e0) = all_57_18
% 186.25/30.65  | | | | | | | | 
% 186.25/30.65  | | | | | | | | BETA: splitting (562) gives:
% 186.25/30.65  | | | | | | | | 
% 186.25/30.65  | | | | | | | | Case 1:
% 186.25/30.65  | | | | | | | | | 
% 186.25/30.65  | | | | | | | | |   (574)   ~ (all_32_0 = e2) & op(e3, e3) = all_32_0 &
% 186.25/30.65  | | | | | | | | |          $i(all_32_0)
% 186.25/30.65  | | | | | | | | | 
% 186.25/30.65  | | | | | | | | | REF_CLOSE: (56), (410), (574) are inconsistent by sub-proof
% 186.25/30.65  | | | | | | | | |            #1436.
% 186.25/30.65  | | | | | | | | | 
% 186.25/30.65  | | | | | | | | Case 2:
% 186.25/30.65  | | | | | | | | | 
% 186.25/30.65  | | | | | | | | |   (575)   ~ (all_32_1 = e1) & op(e3, e0) = all_32_1 &
% 186.25/30.65  | | | | | | | | |          $i(all_32_1)
% 186.25/30.65  | | | | | | | | | 
% 186.25/30.65  | | | | | | | | | ALPHA: (575) implies:
% 186.25/30.65  | | | | | | | | |   (576)   ~ (all_32_1 = e1)
% 186.25/30.65  | | | | | | | | |   (577)  op(e3, e0) = all_32_1
% 186.25/30.65  | | | | | | | | | 
% 186.25/30.65  | | | | | | | | | GROUND_INST: instantiating (56) with e1, all_57_18, e0, e3,
% 186.25/30.65  | | | | | | | | |              simplifying with (115), (573) gives:
% 186.25/30.65  | | | | | | | | |   (578)  all_57_18 = e1
% 186.25/30.65  | | | | | | | | | 
% 186.25/30.65  | | | | | | | | | GROUND_INST: instantiating (56) with all_32_1, all_57_18, e0,
% 186.25/30.65  | | | | | | | | |              e3, simplifying with (573), (577) gives:
% 186.25/30.65  | | | | | | | | |   (579)  all_57_18 = all_32_1
% 186.25/30.65  | | | | | | | | | 
% 186.25/30.65  | | | | | | | | | COMBINE_EQS: (578), (579) imply:
% 186.25/30.65  | | | | | | | | |   (580)  all_32_1 = e1
% 186.25/30.65  | | | | | | | | | 
% 186.25/30.65  | | | | | | | | | REDUCE: (576), (580) imply:
% 186.25/30.65  | | | | | | | | |   (581)  $false
% 186.25/30.65  | | | | | | | | | 
% 186.25/30.65  | | | | | | | | | CLOSE: (581) is inconsistent.
% 186.25/30.65  | | | | | | | | | 
% 186.25/30.65  | | | | | | | | End of split
% 186.25/30.65  | | | | | | | | 
% 186.25/30.65  | | | | | | | End of split
% 186.25/30.65  | | | | | | | 
% 186.25/30.65  | | | | | | End of split
% 186.25/30.65  | | | | | | 
% 186.25/30.65  | | | | | End of split
% 186.25/30.65  | | | | | 
% 186.25/30.65  | | | | End of split
% 186.25/30.65  | | | | 
% 186.25/30.65  | | | End of split
% 186.25/30.65  | | | 
% 186.25/30.65  | | Case 2:
% 186.25/30.65  | | | 
% 186.25/30.65  | | |   (582)  all_56_10 = e1 & op(e2, e0) = e1
% 186.25/30.65  | | | 
% 186.25/30.65  | | | ALPHA: (582) implies:
% 186.25/30.65  | | |   (583)  op(e2, e0) = e1
% 186.25/30.65  | | | 
% 186.25/30.65  | | | REF_CLOSE: (56), (57), (74), (583) are inconsistent by sub-proof #1273.
% 186.25/30.65  | | | 
% 186.25/30.65  | | End of split
% 186.25/30.65  | | 
% 186.25/30.65  | Case 2:
% 186.25/30.65  | | 
% 186.25/30.65  | |   (584)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.25/30.65  | |            e1)
% 186.25/30.65  | | 
% 186.25/30.65  | | REF_CLOSE: (3), (11), (18), (31), (56), (584) are inconsistent by sub-proof
% 186.25/30.65  | |            #1488.
% 186.25/30.65  | | 
% 186.25/30.65  | End of split
% 186.25/30.65  | 
% 186.25/30.65  End of proof
% 186.25/30.65  
% 186.25/30.65  Sub-proof #1273 shows that the following formulas are inconsistent:
% 186.25/30.65  ----------------------------------------------------------------
% 186.25/30.65    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.65    (2)  op(e2, e0) = all_52_13
% 186.25/30.65    (3)  op(e2, e0) = e1
% 186.25/30.65    (4)   ~ (all_52_13 = e1)
% 186.25/30.65  
% 186.25/30.65  Begin of proof
% 186.25/30.65  | 
% 186.25/30.65  | GROUND_INST: instantiating (1) with all_52_13, e1, e0, e2, simplifying with
% 186.25/30.65  |              (2), (3) gives:
% 186.25/30.65  |   (5)  all_52_13 = e1
% 186.25/30.65  | 
% 186.25/30.65  | REDUCE: (4), (5) imply:
% 186.25/30.65  |   (6)  $false
% 186.25/30.65  | 
% 186.25/30.65  | CLOSE: (6) is inconsistent.
% 186.25/30.65  | 
% 186.25/30.65  End of proof
% 186.25/30.65  
% 186.25/30.65  Sub-proof #1274 shows that the following formulas are inconsistent:
% 186.25/30.65  ----------------------------------------------------------------
% 186.25/30.65    (1)   ~ (e1 = e0)
% 186.25/30.65    (2)   ~ (e3 = e0)
% 186.25/30.65    (3)   ~ (e2 = e0)
% 186.25/30.65    (4)  all_56_14 = e2
% 186.25/30.65    (5)   ~ (all_52_7 = e0)
% 186.25/30.65    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.65    (7)  op(e0, e0) = e3
% 186.25/30.65    (8)  all_56_12 = e1
% 186.25/30.65    (9)  op(e0, e2) = all_52_7
% 186.25/30.65    (10)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.25/30.65              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.25/30.65                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.25/30.65                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.25/30.65  
% 186.25/30.65  Begin of proof
% 186.25/30.65  | 
% 186.25/30.65  | BETA: splitting (10) gives:
% 186.25/30.65  | 
% 186.25/30.65  | Case 1:
% 186.25/30.65  | | 
% 186.25/30.65  | |   (11)  all_56_15 = e0 & op(e0, e0) = e0
% 186.25/30.65  | | 
% 186.25/30.65  | | ALPHA: (11) implies:
% 186.25/30.65  | |   (12)  op(e0, e0) = e0
% 186.25/30.65  | | 
% 186.25/30.65  | | REF_CLOSE: (2), (6), (7), (12) are inconsistent by sub-proof #1540.
% 186.25/30.65  | | 
% 186.25/30.65  | Case 2:
% 186.25/30.65  | | 
% 186.25/30.65  | |   (13)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 186.25/30.65  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 186.25/30.65  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 186.25/30.65  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 186.25/30.65  | | 
% 186.25/30.65  | | ALPHA: (13) implies:
% 186.25/30.65  | |   (14)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.25/30.65  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.25/30.65  | | 
% 186.25/30.65  | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (14) are inconsistent by
% 186.25/30.65  | |            sub-proof #1442.
% 186.25/30.65  | | 
% 186.25/30.65  | End of split
% 186.25/30.65  | 
% 186.25/30.65  End of proof
% 186.25/30.65  
% 186.25/30.65  Sub-proof #1275 shows that the following formulas are inconsistent:
% 186.25/30.65  ----------------------------------------------------------------
% 186.25/30.65    (1)  all_56_14 = e3 & op(e0, e1) = e3
% 186.25/30.65    (2)  all_56_14 = e2
% 186.25/30.65    (3)   ~ (e3 = e2)
% 186.25/30.65  
% 186.25/30.65  Begin of proof
% 186.25/30.65  | 
% 186.25/30.65  | ALPHA: (1) implies:
% 186.25/30.65  |   (4)  all_56_14 = e3
% 186.25/30.65  | 
% 186.25/30.65  | COMBINE_EQS: (2), (4) imply:
% 186.25/30.65  |   (5)  e3 = e2
% 186.25/30.65  | 
% 186.25/30.65  | REDUCE: (3), (5) imply:
% 186.25/30.65  |   (6)  $false
% 186.25/30.65  | 
% 186.25/30.65  | CLOSE: (6) is inconsistent.
% 186.25/30.65  | 
% 186.25/30.65  End of proof
% 186.25/30.65  
% 186.25/30.65  Sub-proof #1276 shows that the following formulas are inconsistent:
% 186.25/30.65  ----------------------------------------------------------------
% 186.25/30.65    (1)  all_56_5 = e2
% 186.25/30.65    (2)  all_56_5 = e0
% 186.25/30.65    (3)   ~ (e2 = e0)
% 186.25/30.65  
% 186.25/30.65  Begin of proof
% 186.25/30.65  | 
% 186.25/30.65  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.65  |   (4)  e2 = e0
% 186.25/30.65  | 
% 186.25/30.65  | SIMP: (4) implies:
% 186.25/30.65  |   (5)  e2 = e0
% 186.25/30.65  | 
% 186.25/30.65  | REDUCE: (3), (5) imply:
% 186.25/30.65  |   (6)  $false
% 186.25/30.65  | 
% 186.25/30.65  | CLOSE: (6) is inconsistent.
% 186.25/30.65  | 
% 186.25/30.65  End of proof
% 186.25/30.65  
% 186.25/30.65  Sub-proof #1277 shows that the following formulas are inconsistent:
% 186.25/30.65  ----------------------------------------------------------------
% 186.25/30.65    (1)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 = e1 &  ~ (all_57_9 =
% 186.25/30.65             e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3)
% 186.25/30.65           & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1, all_57_24) =
% 186.25/30.65           all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = e1 & op(e1,
% 186.25/30.65             e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 &
% 186.25/30.65           $i(all_57_9) & $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.25/30.65           $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30 & all_57_20 = e1
% 186.25/30.65           & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.65           (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1 & op(e1,
% 186.25/30.65             all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.65             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) = e1 &
% 186.25/30.65           op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 186.25/30.65           $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 186.25/30.65           $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 186.25/30.65               = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 186.25/30.65               &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 186.25/30.65               op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.65               op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2)
% 186.25/30.65               = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 186.25/30.65               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.25/30.65               $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.25/30.65               (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 186.25/30.65               op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.25/30.65               op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 186.25/30.65               op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 186.25/30.65               all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.25/30.65               $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.25/30.65               (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 186.25/30.65                   e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.65                 (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 186.25/30.65    (2)   ~ (all_52_14 = e0)
% 186.25/30.65    (3)  op(e1, e0) = all_52_14
% 186.25/30.65    (4)  op(e2, e1) = all_52_9
% 186.25/30.65    (5)   ~ (all_14_2 = e0)
% 186.25/30.65    (6)   ~ (all_57_25 = e0)
% 186.25/30.65    (7)  all_54_10 = all_14_2
% 186.25/30.65    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.65    (9)  op(e2, e0) = all_52_13
% 186.25/30.65    (10)   ~ (all_52_14 = all_14_2)
% 186.25/30.65    (11)  op(e3, e1) = all_52_8
% 186.25/30.65    (12)  all_54_10 = e1 | all_54_10 = e0
% 186.25/30.65    (13)   ~ (all_52_13 = e0)
% 186.25/30.65    (14)   ~ (all_52_9 = e1)
% 186.25/30.65    (15)   ~ (all_52_8 = e1)
% 186.25/30.65  
% 186.25/30.65  Begin of proof
% 186.25/30.65  | 
% 186.25/30.65  | BETA: splitting (1) gives:
% 186.25/30.65  | 
% 186.25/30.65  | Case 1:
% 186.25/30.65  | | 
% 186.25/30.65  | |   (16)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 = e1 &  ~
% 186.25/30.65  | |         (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 186.25/30.65  | |         (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.65  | |         op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 186.25/30.65  | |         op(e1, e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 &
% 186.25/30.65  | |         op(e1, e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 186.25/30.65  | |         $i(all_57_11) & $i(all_57_23) & $i(all_57_24) & $i(all_57_30)
% 186.25/30.65  | | 
% 186.25/30.65  | | ALPHA: (16) implies:
% 186.25/30.65  | |   (17)  op(e3, e1) = e1
% 186.25/30.65  | | 
% 186.25/30.65  | | REF_CLOSE: (8), (11), (15), (17) are inconsistent by sub-proof #1611.
% 186.25/30.65  | | 
% 186.25/30.65  | Case 2:
% 186.25/30.65  | | 
% 186.25/30.65  | |   (18)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.25/30.65  | |           (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 186.25/30.65  | |           (all_57_30 = e2) & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8
% 186.25/30.65  | |           & op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 186.25/30.65  | |           op(e1, e3) = all_57_22 & op(e1, e2) = e1 & op(e1, e1) = all_57_30
% 186.25/30.65  | |           & op(e1, e0) = all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 186.25/30.65  | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.25/30.65  | |         (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 186.25/30.65  | |               all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.25/30.65  | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 186.25/30.65  | |               op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.65  | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 186.25/30.65  | |               op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 186.25/30.65  | |               e1 & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 186.25/30.65  | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~
% 186.25/30.65  | |               (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &
% 186.25/30.65  | |                ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0,
% 186.25/30.65  | |                 all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 186.25/30.65  | |               op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 &
% 186.25/30.65  | |               op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31 &
% 186.25/30.65  | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14) & $i(all_57_15)
% 186.25/30.65  | |               & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.25/30.65  | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 186.25/30.65  | |                 (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.65  | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 186.25/30.65  | | 
% 186.25/30.65  | | BETA: splitting (18) gives:
% 186.25/30.65  | | 
% 186.25/30.65  | | Case 1:
% 186.25/30.65  | | | 
% 186.25/30.65  | | |   (19)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.25/30.65  | | |         (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 186.25/30.65  | | |         (all_57_30 = e2) & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8
% 186.25/30.65  | | |         & op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 186.25/30.65  | | |         op(e1, e3) = all_57_22 & op(e1, e2) = e1 & op(e1, e1) = all_57_30
% 186.25/30.65  | | |         & op(e1, e0) = all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 186.25/30.65  | | |         $i(all_57_11) & $i(all_57_22) & $i(all_57_24) & $i(all_57_30)
% 186.25/30.65  | | | 
% 186.25/30.65  | | | ALPHA: (19) implies:
% 186.25/30.65  | | |   (20)  op(e2, e1) = e1
% 186.25/30.65  | | | 
% 186.25/30.65  | | | REF_CLOSE: (4), (8), (14), (20) are inconsistent by sub-proof #1610.
% 186.25/30.65  | | | 
% 186.25/30.65  | | Case 2:
% 186.25/30.65  | | | 
% 186.25/30.65  | | |   (21)  op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 186.25/30.65  | | |             all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.25/30.65  | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 186.25/30.65  | | |             op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.65  | | |             op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 186.25/30.65  | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 186.25/30.65  | | |             e1 & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 186.25/30.65  | | |             $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~
% 186.25/30.65  | | |             (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &
% 186.25/30.65  | | |              ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0,
% 186.25/30.65  | | |               all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 186.25/30.65  | | |             op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 &
% 186.25/30.65  | | |             op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31 &
% 186.25/30.65  | | |             $i(all_57_12) & $i(all_57_13) & $i(all_57_14) & $i(all_57_15)
% 186.25/30.65  | | |             & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.25/30.65  | | |               e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 186.25/30.65  | | |               (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.65  | | |               (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))))
% 186.25/30.65  | | | 
% 186.25/30.65  | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (10), (12), (13), (21) are
% 186.25/30.65  | | |            inconsistent by sub-proof #1278.
% 186.25/30.65  | | | 
% 186.25/30.65  | | End of split
% 186.25/30.65  | | 
% 186.25/30.65  | End of split
% 186.25/30.65  | 
% 186.25/30.65  End of proof
% 186.25/30.65  
% 186.25/30.65  Sub-proof #1278 shows that the following formulas are inconsistent:
% 186.25/30.65  ----------------------------------------------------------------
% 186.25/30.65    (1)   ~ (all_52_14 = e0)
% 186.25/30.65    (2)  op(e1, e0) = all_52_14
% 186.25/30.65    (3)  op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 186.25/30.65             all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 =
% 186.25/30.65               e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1, all_57_22)
% 186.25/30.65             = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1, all_57_30) =
% 186.25/30.65             all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.25/30.65               e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) & $i(all_57_9) &
% 186.25/30.65             $i(all_57_10) & $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~
% 186.25/30.65             (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.25/30.65             (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 186.25/30.65             = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 186.25/30.65             all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.25/30.65               e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.25/30.65             $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.25/30.65             (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0)
% 186.25/30.65               | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24
% 186.25/30.65                 = e0 & all_57_27 = e0 & op(e1, e0) = e0))))
% 186.25/30.65    (4)   ~ (all_14_2 = e0)
% 186.25/30.65    (5)   ~ (all_57_25 = e0)
% 186.25/30.65    (6)  all_54_10 = all_14_2
% 186.25/30.65    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.65    (8)  op(e2, e0) = all_52_13
% 186.25/30.65    (9)   ~ (all_52_14 = all_14_2)
% 186.25/30.65    (10)  all_54_10 = e1 | all_54_10 = e0
% 186.25/30.65    (11)   ~ (all_52_13 = e0)
% 186.25/30.65  
% 186.25/30.65  Begin of proof
% 186.25/30.65  | 
% 186.25/30.65  | ALPHA: (3) implies:
% 186.25/30.65  |   (12)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 186.25/30.65  |           (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.65  |           (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23)
% 186.25/30.65  |           = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22
% 186.25/30.65  |           & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1
% 186.25/30.65  |           & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.25/30.65  |           $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.25/30.65  |           (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 186.25/30.65  |           op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.25/30.65  |           op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 186.25/30.65  |           op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 186.25/30.65  |           all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.25/30.65  |           $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.25/30.65  |           (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 186.25/30.65  |               e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.65  |             (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 186.25/30.65  | 
% 186.25/30.65  | BETA: splitting (10) gives:
% 186.25/30.65  | 
% 186.25/30.65  | Case 1:
% 186.25/30.65  | | 
% 186.25/30.65  | |   (13)  all_54_10 = e1
% 186.25/30.65  | | 
% 186.25/30.65  | | COMBINE_EQS: (6), (13) imply:
% 186.25/30.65  | |   (14)  all_14_2 = e1
% 186.25/30.65  | | 
% 186.25/30.65  | | SIMP: (14) implies:
% 186.25/30.65  | |   (15)  all_14_2 = e1
% 186.25/30.65  | | 
% 186.25/30.65  | | REDUCE: (9), (15) imply:
% 186.25/30.65  | |   (16)   ~ (all_52_14 = e1)
% 186.25/30.65  | | 
% 186.25/30.65  | | REF_CLOSE: (1), (2), (5), (7), (8), (11), (12), (16) are inconsistent by
% 186.25/30.65  | |            sub-proof #1279.
% 186.25/30.65  | | 
% 186.25/30.65  | Case 2:
% 186.25/30.65  | | 
% 186.25/30.65  | |   (17)  all_54_10 = e0
% 186.25/30.65  | | 
% 186.25/30.65  | | REF_CLOSE: (4), (6), (17) are inconsistent by sub-proof #1618.
% 186.25/30.65  | | 
% 186.25/30.65  | End of split
% 186.25/30.65  | 
% 186.25/30.65  End of proof
% 186.25/30.65  
% 186.25/30.65  Sub-proof #1279 shows that the following formulas are inconsistent:
% 186.25/30.65  ----------------------------------------------------------------
% 186.25/30.65    (1)   ~ (all_52_14 = e0)
% 186.25/30.65    (2)  op(e1, e0) = all_52_14
% 186.25/30.65    (3)   ~ (all_52_14 = e1)
% 186.25/30.65    (4)   ~ (all_57_25 = e0)
% 186.25/30.65    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.65    (6)  op(e2, e0) = all_52_13
% 186.25/30.65    (7)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 =
% 186.25/30.65             e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0)
% 186.25/30.65           & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 186.25/30.65             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.25/30.65           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 186.25/30.65           $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 186.25/30.65           $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 186.25/30.65           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 186.25/30.65           & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 186.25/30.65           op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 186.25/30.65           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 186.25/30.65           $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 186.25/30.65           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.25/30.65               op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 186.25/30.65               e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 186.25/30.65    (8)   ~ (all_52_13 = e0)
% 186.25/30.65  
% 186.25/30.65  Begin of proof
% 186.25/30.65  | 
% 186.25/30.65  | BETA: splitting (7) gives:
% 186.25/30.65  | 
% 186.25/30.65  | Case 1:
% 186.25/30.65  | | 
% 186.25/30.65  | |   (9)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 186.25/30.65  | |        (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.65  | |        (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) =
% 186.25/30.65  | |        all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 186.25/30.65  | |        op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 186.25/30.65  | |        $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.25/30.65  | |        $i(all_57_23) & $i(all_57_30)
% 186.25/30.65  | | 
% 186.25/30.65  | | ALPHA: (9) implies:
% 186.25/30.65  | |   (10)  op(e1, e0) = e1
% 186.25/30.65  | | 
% 186.25/30.65  | | GROUND_INST: instantiating (5) with all_52_14, e1, e0, e1, simplifying with
% 186.25/30.65  | |              (2), (10) gives:
% 186.25/30.65  | |   (11)  all_52_14 = e1
% 186.25/30.65  | | 
% 186.25/30.65  | | REDUCE: (3), (11) imply:
% 186.25/30.65  | |   (12)  $false
% 186.25/30.65  | | 
% 186.25/30.65  | | CLOSE: (12) is inconsistent.
% 186.25/30.65  | | 
% 186.25/30.65  | Case 2:
% 186.25/30.65  | | 
% 186.25/30.65  | |   (13)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.25/30.65  | |         (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 186.25/30.65  | |         = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 186.25/30.65  | |         all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.25/30.65  | |           e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.25/30.65  | |         $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.25/30.65  | |         (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 186.25/30.65  | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.65  | |           (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 186.25/30.65  | | 
% 186.25/30.65  | | ALPHA: (13) implies:
% 186.25/30.65  | |   (14)   ~ (all_57_15 = e0)
% 186.25/30.65  | |   (15)  op(e0, e0) = all_57_31
% 186.25/30.65  | |   (16)  op(e0, all_57_31) = all_57_15
% 186.25/30.65  | |   (17)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0)
% 186.25/30.65  | |         | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 =
% 186.25/30.65  | |           e0 & all_57_27 = e0 & op(e1, e0) = e0)
% 186.25/30.65  | | 
% 186.25/30.65  | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (14), (15), (16), (17) are
% 186.25/30.65  | |            inconsistent by sub-proof #1280.
% 186.25/30.65  | | 
% 186.25/30.65  | End of split
% 186.25/30.65  | 
% 186.25/30.65  End of proof
% 186.25/30.65  
% 186.25/30.65  Sub-proof #1280 shows that the following formulas are inconsistent:
% 186.25/30.65  ----------------------------------------------------------------
% 186.25/30.65    (1)   ~ (all_52_14 = e0)
% 186.25/30.65    (2)  op(e1, e0) = all_52_14
% 186.25/30.65    (3)   ~ (all_57_15 = e0)
% 186.25/30.65    (4)  op(e0, e0) = all_57_31
% 186.25/30.65    (5)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 186.25/30.65         (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 186.25/30.65           all_57_27 = e0 & op(e1, e0) = e0)
% 186.25/30.65    (6)  op(e0, all_57_31) = all_57_15
% 186.25/30.65    (7)   ~ (all_57_25 = e0)
% 186.25/30.65    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.65    (9)  op(e2, e0) = all_52_13
% 186.25/30.65    (10)   ~ (all_52_13 = e0)
% 186.25/30.65  
% 186.25/30.65  Begin of proof
% 186.25/30.65  | 
% 186.25/30.65  | BETA: splitting (5) gives:
% 186.25/30.65  | 
% 186.25/30.65  | Case 1:
% 186.25/30.65  | | 
% 186.25/30.65  | |   (11)  all_57_31 = e0
% 186.25/30.65  | | 
% 186.25/30.65  | | REDUCE: (6), (11) imply:
% 186.25/30.65  | |   (12)  op(e0, e0) = all_57_15
% 186.25/30.65  | | 
% 186.25/30.65  | | REDUCE: (4), (11) imply:
% 186.25/30.65  | |   (13)  op(e0, e0) = e0
% 186.25/30.65  | | 
% 186.25/30.65  | | REF_CLOSE: (3), (8), (12), (13) are inconsistent by sub-proof #1605.
% 186.25/30.65  | | 
% 186.25/30.65  | Case 2:
% 186.25/30.65  | | 
% 186.25/30.65  | |   (14)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 =
% 186.25/30.65  | |           e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 186.25/30.65  | |           all_57_27 = e0 & op(e1, e0) = e0)
% 186.25/30.65  | | 
% 186.25/30.65  | | BETA: splitting (14) gives:
% 186.25/30.65  | | 
% 186.25/30.65  | | Case 1:
% 186.25/30.65  | | | 
% 186.25/30.65  | | |   (15)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 186.25/30.65  | | | 
% 186.25/30.65  | | | ALPHA: (15) implies:
% 186.25/30.65  | | |   (16)  all_57_25 = e0
% 186.25/30.65  | | | 
% 186.25/30.65  | | | REDUCE: (7), (16) imply:
% 186.25/30.65  | | |   (17)  $false
% 186.25/30.65  | | | 
% 186.25/30.65  | | | CLOSE: (17) is inconsistent.
% 186.25/30.65  | | | 
% 186.25/30.65  | | Case 2:
% 186.25/30.65  | | | 
% 186.25/30.65  | | |   (18)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 =
% 186.25/30.65  | | |           e0 & all_57_27 = e0 & op(e1, e0) = e0)
% 186.25/30.65  | | | 
% 186.25/30.65  | | | BETA: splitting (18) gives:
% 186.25/30.65  | | | 
% 186.25/30.65  | | | Case 1:
% 186.25/30.65  | | | | 
% 186.25/30.65  | | | |   (19)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 186.25/30.65  | | | | 
% 186.25/30.65  | | | | ALPHA: (19) implies:
% 186.25/30.65  | | | |   (20)  op(e2, e0) = e0
% 186.25/30.65  | | | | 
% 186.25/30.65  | | | | REF_CLOSE: (8), (9), (10), (20) are inconsistent by sub-proof #1504.
% 186.25/30.65  | | | | 
% 186.25/30.65  | | | Case 2:
% 186.25/30.65  | | | | 
% 186.25/30.65  | | | |   (21)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 186.25/30.65  | | | | 
% 186.25/30.65  | | | | ALPHA: (21) implies:
% 186.25/30.65  | | | |   (22)  op(e1, e0) = e0
% 186.25/30.65  | | | | 
% 186.25/30.65  | | | | GROUND_INST: instantiating (8) with all_52_14, e0, e0, e1, simplifying
% 186.25/30.65  | | | |              with (2), (22) gives:
% 186.25/30.65  | | | |   (23)  all_52_14 = e0
% 186.25/30.65  | | | | 
% 186.25/30.65  | | | | REDUCE: (1), (23) imply:
% 186.25/30.65  | | | |   (24)  $false
% 186.25/30.65  | | | | 
% 186.25/30.65  | | | | CLOSE: (24) is inconsistent.
% 186.25/30.65  | | | | 
% 186.25/30.65  | | | End of split
% 186.25/30.65  | | | 
% 186.25/30.65  | | End of split
% 186.25/30.65  | | 
% 186.25/30.65  | End of split
% 186.25/30.65  | 
% 186.25/30.65  End of proof
% 186.25/30.65  
% 186.25/30.65  Sub-proof #1281 shows that the following formulas are inconsistent:
% 186.25/30.65  ----------------------------------------------------------------
% 186.25/30.65    (1)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 186.25/30.65             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.25/30.65           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 186.25/30.65             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 186.25/30.65           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 186.25/30.65           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 186.25/30.65           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 186.25/30.65           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 186.25/30.65           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 186.25/30.65           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.25/30.65             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 186.25/30.65           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.25/30.65           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 186.25/30.65    (2)  op(e2, e3) = e3
% 186.25/30.65    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.65  
% 186.25/30.65  Begin of proof
% 186.25/30.65  | 
% 186.25/30.65  | BETA: splitting (1) gives:
% 186.25/30.65  | 
% 186.25/30.65  | Case 1:
% 186.25/30.65  | | 
% 186.25/30.65  | |   (4)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4
% 186.25/30.65  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 186.25/30.65  | |          e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 &
% 186.25/30.65  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 186.25/30.65  | |        all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 186.25/30.65  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 186.25/30.65  | |        $i(all_57_21) & $i(all_57_29)
% 186.25/30.65  | | 
% 186.25/30.65  | | ALPHA: (4) implies:
% 186.25/30.65  | |   (5)   ~ (all_57_4 = e3)
% 186.25/30.65  | |   (6)  op(e2, e3) = all_57_19
% 186.25/30.65  | |   (7)  op(e2, all_57_19) = all_57_4
% 186.25/30.65  | | 
% 186.25/30.65  | | REF_CLOSE: (2), (3), (5), (6), (7) are inconsistent by sub-proof #1282.
% 186.25/30.65  | | 
% 186.25/30.65  | Case 2:
% 186.25/30.65  | | 
% 186.25/30.65  | |   (8)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4
% 186.25/30.65  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 =
% 186.25/30.65  | |          e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20) = all_57_6 &
% 186.25/30.65  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 186.25/30.65  | |        all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) =
% 186.25/30.65  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_19) &
% 186.25/30.65  | |        $i(all_57_20) & $i(all_57_29)
% 186.25/30.65  | | 
% 186.25/30.65  | | ALPHA: (8) implies:
% 186.25/30.65  | |   (9)   ~ (all_57_4 = e3)
% 186.25/30.65  | |   (10)  op(e2, e3) = all_57_19
% 186.25/30.65  | |   (11)  op(e2, all_57_19) = all_57_4
% 186.25/30.65  | | 
% 186.25/30.65  | | REF_CLOSE: (2), (3), (9), (10), (11) are inconsistent by sub-proof #1282.
% 186.25/30.65  | | 
% 186.25/30.65  | End of split
% 186.25/30.65  | 
% 186.25/30.65  End of proof
% 186.25/30.65  
% 186.25/30.65  Sub-proof #1282 shows that the following formulas are inconsistent:
% 186.25/30.65  ----------------------------------------------------------------
% 186.25/30.65    (1)   ~ (all_57_4 = e3)
% 186.25/30.65    (2)  op(e2, e3) = e3
% 186.25/30.65    (3)  op(e2, e3) = all_57_19
% 186.25/30.65    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.65    (5)  op(e2, all_57_19) = all_57_4
% 186.25/30.65  
% 186.25/30.65  Begin of proof
% 186.25/30.65  | 
% 186.25/30.65  | GROUND_INST: instantiating (4) with e3, all_57_19, e3, e2, simplifying with
% 186.25/30.65  |              (2), (3) gives:
% 186.25/30.65  |   (6)  all_57_19 = e3
% 186.25/30.65  | 
% 186.25/30.65  | REDUCE: (5), (6) imply:
% 186.25/30.65  |   (7)  op(e2, e3) = all_57_4
% 186.25/30.65  | 
% 186.25/30.65  | GROUND_INST: instantiating (4) with e3, all_57_4, e3, e2, simplifying with
% 186.25/30.65  |              (2), (7) gives:
% 186.25/30.65  |   (8)  all_57_4 = e3
% 186.25/30.65  | 
% 186.25/30.65  | REDUCE: (1), (8) imply:
% 186.25/30.65  |   (9)  $false
% 186.25/30.65  | 
% 186.25/30.65  | CLOSE: (9) is inconsistent.
% 186.25/30.65  | 
% 186.25/30.65  End of proof
% 186.25/30.65  
% 186.25/30.65  Sub-proof #1283 shows that the following formulas are inconsistent:
% 186.25/30.65  ----------------------------------------------------------------
% 186.25/30.65    (1)  op(e1, e3) = e0
% 186.25/30.65    (2)  op(e1, e3) = all_52_2
% 186.25/30.65    (3)  all_54_0 = all_4_2
% 186.25/30.65    (4)   ~ (e3 = e0)
% 186.25/30.65    (5)  op(e0, e3) = e1
% 186.25/30.65    (6)  op(e0, e3) = all_52_3
% 186.25/30.65    (7)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.25/30.65    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.65           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.65    (9)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 186.25/30.65             e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.25/30.65           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.25/30.65             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.25/30.65           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 186.25/30.65           $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 186.25/30.65           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3
% 186.25/30.65           & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 186.25/30.65           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 186.25/30.65           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.25/30.65             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 186.25/30.65             e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.25/30.65           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 186.25/30.65    (10)   ~ (all_52_3 = all_4_2)
% 186.25/30.65    (11)   ~ (all_52_2 = all_4_2)
% 186.25/30.65    (12)  op(e3, e3) = all_4_2
% 186.25/30.65    (13)  op(e3, e2) = all_52_4
% 186.25/30.66    (14)   ~ (all_52_4 = all_4_2)
% 186.25/30.66  
% 186.25/30.66  Begin of proof
% 186.25/30.66  | 
% 186.25/30.66  | BETA: splitting (9) gives:
% 186.25/30.66  | 
% 186.25/30.66  | Case 1:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (15)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~
% 186.25/30.66  | |         (all_57_0 = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~
% 186.25/30.66  | |         (all_57_28 = e2) & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.25/30.66  | |         = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 186.25/30.66  | |         op(e3, e2) = e3 & op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 &
% 186.25/30.66  | |         op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 186.25/30.66  | |         $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 186.25/30.66  | | 
% 186.25/30.66  | | ALPHA: (15) implies:
% 186.25/30.66  | |   (16)   ~ (all_57_28 = e2)
% 186.25/30.66  | |   (17)  op(e3, e2) = e3
% 186.25/30.66  | |   (18)  op(e3, e3) = all_57_28
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (10), (11), (12), (13), (14),
% 186.25/30.66  | |            (16), (17), (18) are inconsistent by sub-proof #1284.
% 186.25/30.66  | | 
% 186.25/30.66  | Case 2:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (19)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 = e3 &  ~
% 186.25/30.66  | |         (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0) &  ~
% 186.25/30.66  | |         (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_18)
% 186.25/30.66  | |         = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 186.25/30.66  | |         op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3, e0) = all_57_18 &
% 186.25/30.66  | |         op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.25/30.66  | |         $i(all_57_16) & $i(all_57_18) & $i(all_57_28)
% 186.25/30.66  | | 
% 186.25/30.66  | | ALPHA: (19) implies:
% 186.25/30.66  | |   (20)  op(e1, e3) = e3
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (1), (4), (8), (20) are inconsistent by sub-proof #1536.
% 186.25/30.66  | | 
% 186.25/30.66  | End of split
% 186.25/30.66  | 
% 186.25/30.66  End of proof
% 186.25/30.66  
% 186.25/30.66  Sub-proof #1284 shows that the following formulas are inconsistent:
% 186.25/30.66  ----------------------------------------------------------------
% 186.25/30.66    (1)  op(e1, e3) = e0
% 186.25/30.66    (2)  op(e1, e3) = all_52_2
% 186.25/30.66    (3)  all_54_0 = all_4_2
% 186.25/30.66    (4)  op(e0, e3) = e1
% 186.25/30.66    (5)  op(e3, e3) = all_57_28
% 186.25/30.66    (6)  op(e0, e3) = all_52_3
% 186.25/30.66    (7)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.25/30.66    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.66           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.66    (9)   ~ (all_52_3 = all_4_2)
% 186.25/30.66    (10)   ~ (all_52_2 = all_4_2)
% 186.25/30.66    (11)  op(e3, e2) = e3
% 186.25/30.66    (12)  op(e3, e3) = all_4_2
% 186.25/30.66    (13)  op(e3, e2) = all_52_4
% 186.25/30.66    (14)   ~ (all_52_4 = all_4_2)
% 186.25/30.66    (15)   ~ (all_57_28 = e2)
% 186.25/30.66  
% 186.25/30.66  Begin of proof
% 186.25/30.66  | 
% 186.25/30.66  | GROUND_INST: instantiating (8) with all_52_3, e1, e3, e0, simplifying with
% 186.25/30.66  |              (4), (6) gives:
% 186.25/30.66  |   (16)  all_52_3 = e1
% 186.25/30.66  | 
% 186.25/30.66  | GROUND_INST: instantiating (8) with all_52_2, e0, e3, e1, simplifying with
% 186.25/30.66  |              (1), (2) gives:
% 186.25/30.66  |   (17)  all_52_2 = e0
% 186.25/30.66  | 
% 186.25/30.66  | GROUND_INST: instantiating (8) with all_52_4, e3, e2, e3, simplifying with
% 186.25/30.66  |              (11), (13) gives:
% 186.25/30.66  |   (18)  all_52_4 = e3
% 186.25/30.66  | 
% 186.25/30.66  | GROUND_INST: instantiating (8) with all_4_2, all_57_28, e3, e3, simplifying
% 186.25/30.66  |              with (5), (12) gives:
% 186.25/30.66  |   (19)  all_57_28 = all_4_2
% 186.25/30.66  | 
% 186.25/30.66  | REDUCE: (15), (19) imply:
% 186.25/30.66  |   (20)   ~ (all_4_2 = e2)
% 186.25/30.66  | 
% 186.25/30.66  | REDUCE: (10), (17) imply:
% 186.25/30.66  |   (21)   ~ (all_4_2 = e0)
% 186.25/30.66  | 
% 186.25/30.66  | SIMP: (21) implies:
% 186.25/30.66  |   (22)   ~ (all_4_2 = e0)
% 186.25/30.66  | 
% 186.25/30.66  | REDUCE: (9), (16) imply:
% 186.25/30.66  |   (23)   ~ (all_4_2 = e1)
% 186.25/30.66  | 
% 186.25/30.66  | SIMP: (23) implies:
% 186.25/30.66  |   (24)   ~ (all_4_2 = e1)
% 186.25/30.66  | 
% 186.25/30.66  | REDUCE: (14), (18) imply:
% 186.25/30.66  |   (25)   ~ (all_4_2 = e3)
% 186.25/30.66  | 
% 186.25/30.66  | SIMP: (25) implies:
% 186.25/30.66  |   (26)   ~ (all_4_2 = e3)
% 186.25/30.66  | 
% 186.25/30.66  | BETA: splitting (7) gives:
% 186.25/30.66  | 
% 186.25/30.66  | Case 1:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (27)  all_54_0 = e3
% 186.25/30.66  | | 
% 186.25/30.66  | | COMBINE_EQS: (3), (27) imply:
% 186.25/30.66  | |   (28)  all_4_2 = e3
% 186.25/30.66  | | 
% 186.25/30.66  | | REDUCE: (26), (28) imply:
% 186.25/30.66  | |   (29)  $false
% 186.25/30.66  | | 
% 186.25/30.66  | | CLOSE: (29) is inconsistent.
% 186.25/30.66  | | 
% 186.25/30.66  | Case 2:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (30)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (3), (20), (22), (24), (30) are inconsistent by sub-proof #1354.
% 186.25/30.66  | | 
% 186.25/30.66  | End of split
% 186.25/30.66  | 
% 186.25/30.66  End of proof
% 186.25/30.66  
% 186.25/30.66  Sub-proof #1285 shows that the following formulas are inconsistent:
% 186.25/30.66  ----------------------------------------------------------------
% 186.25/30.66    (1)  all_56_4 = e3
% 186.25/30.66    (2)  all_56_4 = e2
% 186.25/30.66    (3)   ~ (e3 = e2)
% 186.25/30.66  
% 186.25/30.66  Begin of proof
% 186.25/30.66  | 
% 186.25/30.66  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.66  |   (4)  e3 = e2
% 186.25/30.66  | 
% 186.25/30.66  | SIMP: (4) implies:
% 186.25/30.66  |   (5)  e3 = e2
% 186.25/30.66  | 
% 186.25/30.66  | REDUCE: (3), (5) imply:
% 186.25/30.66  |   (6)  $false
% 186.25/30.66  | 
% 186.25/30.66  | CLOSE: (6) is inconsistent.
% 186.25/30.66  | 
% 186.25/30.66  End of proof
% 186.25/30.66  
% 186.25/30.66  Sub-proof #1286 shows that the following formulas are inconsistent:
% 186.25/30.66  ----------------------------------------------------------------
% 186.25/30.66    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 186.25/30.66    (2)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 186.25/30.66    (3)   ~ (all_4_2 = e0)
% 186.25/30.66    (4)   ~ (all_30_1 = e1)
% 186.25/30.66    (5)   ~ (all_30_1 = e2)
% 186.25/30.66    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.66           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.66    (7)  op(e2, e3) = all_30_1
% 186.25/30.66    (8)  op(e3, e3) = all_4_2
% 186.25/30.66    (9)   ~ (all_30_1 = e0)
% 186.25/30.66    (10)  all_54_4 = all_30_1
% 186.25/30.66  
% 186.25/30.66  Begin of proof
% 186.25/30.66  | 
% 186.25/30.66  | BETA: splitting (1) gives:
% 186.25/30.66  | 
% 186.25/30.66  | Case 1:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (11)  all_56_0 = e0 & op(e3, e3) = e0
% 186.25/30.66  | | 
% 186.25/30.66  | | ALPHA: (11) implies:
% 186.25/30.66  | |   (12)  op(e3, e3) = e0
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (3), (6), (8), (12) are inconsistent by sub-proof #1624.
% 186.25/30.66  | | 
% 186.25/30.66  | Case 2:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (13)  all_56_2 = e0 & op(e2, e3) = e0
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (2), (4), (5), (6), (7), (9), (10), (13) are inconsistent by
% 186.25/30.66  | |            sub-proof #1288.
% 186.25/30.66  | | 
% 186.25/30.66  | End of split
% 186.25/30.66  | 
% 186.25/30.66  End of proof
% 186.25/30.66  
% 186.25/30.66  Sub-proof #1287 shows that the following formulas are inconsistent:
% 186.25/30.66  ----------------------------------------------------------------
% 186.25/30.66    (1)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 186.25/30.66    (2)   ~ (e1 = e0)
% 186.25/30.66    (3)   ~ (all_30_1 = e1)
% 186.25/30.66    (4)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 186.25/30.66    (5)   ~ (all_30_1 = e2)
% 186.25/30.66    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.66           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.66    (7)  op(e2, e3) = all_30_1
% 186.25/30.66    (8)  op(e2, e2) = e1
% 186.25/30.66    (9)   ~ (all_30_1 = e0)
% 186.25/30.66    (10)  all_54_4 = all_30_1
% 186.25/30.66  
% 186.25/30.66  Begin of proof
% 186.25/30.66  | 
% 186.25/30.66  | BETA: splitting (4) gives:
% 186.25/30.66  | 
% 186.25/30.66  | Case 1:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (11)  all_56_2 = e0 & op(e2, e3) = e0
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (1), (3), (5), (6), (7), (9), (10), (11) are inconsistent by
% 186.25/30.66  | |            sub-proof #1288.
% 186.25/30.66  | | 
% 186.25/30.66  | Case 2:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (12)  all_56_3 = e0 & op(e2, e2) = e0
% 186.25/30.66  | | 
% 186.25/30.66  | | ALPHA: (12) implies:
% 186.25/30.66  | |   (13)  op(e2, e2) = e0
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (2), (6), (8), (13) are inconsistent by sub-proof #1310.
% 186.25/30.66  | | 
% 186.25/30.66  | End of split
% 186.25/30.66  | 
% 186.25/30.66  End of proof
% 186.25/30.66  
% 186.25/30.66  Sub-proof #1288 shows that the following formulas are inconsistent:
% 186.25/30.66  ----------------------------------------------------------------
% 186.25/30.66    (1)  all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 186.25/30.66    (2)   ~ (all_30_1 = e1)
% 186.25/30.66    (3)  all_56_2 = e0 & op(e2, e3) = e0
% 186.25/30.66    (4)   ~ (all_30_1 = e2)
% 186.25/30.66    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.66           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.66    (6)  op(e2, e3) = all_30_1
% 186.25/30.66    (7)   ~ (all_30_1 = e0)
% 186.25/30.66    (8)  all_54_4 = all_30_1
% 186.25/30.66  
% 186.25/30.66  Begin of proof
% 186.25/30.66  | 
% 186.25/30.66  | ALPHA: (3) implies:
% 186.25/30.66  |   (9)  op(e2, e3) = e0
% 186.25/30.66  | 
% 186.25/30.66  | BETA: splitting (1) gives:
% 186.25/30.66  | 
% 186.25/30.66  | Case 1:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (10)  all_54_4 = e3
% 186.25/30.66  | | 
% 186.25/30.66  | | COMBINE_EQS: (8), (10) imply:
% 186.25/30.66  | |   (11)  all_30_1 = e3
% 186.25/30.66  | | 
% 186.25/30.66  | | SIMP: (11) implies:
% 186.25/30.66  | |   (12)  all_30_1 = e3
% 186.25/30.66  | | 
% 186.25/30.66  | | REDUCE: (7), (12) imply:
% 186.25/30.66  | |   (13)   ~ (e3 = e0)
% 186.25/30.66  | | 
% 186.25/30.66  | | REDUCE: (6), (12) imply:
% 186.25/30.66  | |   (14)  op(e2, e3) = e3
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (5), (9), (13), (14) are inconsistent by sub-proof #1596.
% 186.25/30.66  | | 
% 186.25/30.66  | Case 2:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (15)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (2), (4), (7), (8), (15) are inconsistent by sub-proof #1289.
% 186.25/30.66  | | 
% 186.25/30.66  | End of split
% 186.25/30.66  | 
% 186.25/30.66  End of proof
% 186.25/30.66  
% 186.25/30.66  Sub-proof #1289 shows that the following formulas are inconsistent:
% 186.25/30.66  ----------------------------------------------------------------
% 186.25/30.66    (1)   ~ (all_30_1 = e1)
% 186.25/30.66    (2)   ~ (all_30_1 = e2)
% 186.25/30.66    (3)  all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 186.25/30.66    (4)   ~ (all_30_1 = e0)
% 186.25/30.66    (5)  all_54_4 = all_30_1
% 186.25/30.66  
% 186.25/30.66  Begin of proof
% 186.25/30.66  | 
% 186.25/30.66  | BETA: splitting (3) gives:
% 186.25/30.66  | 
% 186.25/30.66  | Case 1:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (6)  all_54_4 = e2
% 186.25/30.66  | | 
% 186.25/30.66  | | COMBINE_EQS: (5), (6) imply:
% 186.25/30.66  | |   (7)  all_30_1 = e2
% 186.25/30.66  | | 
% 186.25/30.66  | | SIMP: (7) implies:
% 186.25/30.66  | |   (8)  all_30_1 = e2
% 186.25/30.66  | | 
% 186.25/30.66  | | REDUCE: (2), (8) imply:
% 186.25/30.66  | |   (9)  $false
% 186.25/30.66  | | 
% 186.25/30.66  | | CLOSE: (9) is inconsistent.
% 186.25/30.66  | | 
% 186.25/30.66  | Case 2:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (10)  all_54_4 = e1 | all_54_4 = e0
% 186.25/30.66  | | 
% 186.25/30.66  | | BETA: splitting (10) gives:
% 186.25/30.66  | | 
% 186.25/30.66  | | Case 1:
% 186.25/30.66  | | | 
% 186.25/30.66  | | |   (11)  all_54_4 = e1
% 186.25/30.66  | | | 
% 186.25/30.66  | | | COMBINE_EQS: (5), (11) imply:
% 186.25/30.66  | | |   (12)  all_30_1 = e1
% 186.25/30.66  | | | 
% 186.25/30.66  | | | SIMP: (12) implies:
% 186.25/30.66  | | |   (13)  all_30_1 = e1
% 186.25/30.66  | | | 
% 186.25/30.66  | | | REDUCE: (1), (13) imply:
% 186.25/30.66  | | |   (14)  $false
% 186.25/30.66  | | | 
% 186.25/30.66  | | | CLOSE: (14) is inconsistent.
% 186.25/30.66  | | | 
% 186.25/30.66  | | Case 2:
% 186.25/30.66  | | | 
% 186.25/30.66  | | |   (15)  all_54_4 = e0
% 186.25/30.66  | | | 
% 186.25/30.66  | | | COMBINE_EQS: (5), (15) imply:
% 186.25/30.66  | | |   (16)  all_30_1 = e0
% 186.25/30.66  | | | 
% 186.25/30.66  | | | SIMP: (16) implies:
% 186.25/30.66  | | |   (17)  all_30_1 = e0
% 186.25/30.66  | | | 
% 186.25/30.66  | | | REDUCE: (4), (17) imply:
% 186.25/30.66  | | |   (18)  $false
% 186.25/30.66  | | | 
% 186.25/30.66  | | | CLOSE: (18) is inconsistent.
% 186.25/30.66  | | | 
% 186.25/30.66  | | End of split
% 186.25/30.66  | | 
% 186.25/30.66  | End of split
% 186.25/30.66  | 
% 186.25/30.66  End of proof
% 186.25/30.66  
% 186.25/30.66  Sub-proof #1290 shows that the following formulas are inconsistent:
% 186.25/30.66  ----------------------------------------------------------------
% 186.25/30.66    (1)   ~ (all_57_28 = e3)
% 186.25/30.66    (2)  op(e3, e3) = all_57_28
% 186.25/30.66    (3)   ~ (e3 = e1)
% 186.25/30.66    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.66           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.66    (5)  op(e2, e2) = e1
% 186.25/30.66    (6)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 186.25/30.66  
% 186.25/30.66  Begin of proof
% 186.25/30.66  | 
% 186.25/30.66  | BETA: splitting (6) gives:
% 186.25/30.66  | 
% 186.25/30.66  | Case 1:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (7)  all_57_28 = e3 & op(e3, e3) = e3
% 186.25/30.66  | | 
% 186.25/30.66  | | ALPHA: (7) implies:
% 186.25/30.66  | |   (8)  op(e3, e3) = e3
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1539.
% 186.25/30.66  | | 
% 186.25/30.66  | Case 2:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (9)  all_57_29 = e3 & op(e2, e2) = e3
% 186.25/30.66  | | 
% 186.25/30.66  | | ALPHA: (9) implies:
% 186.25/30.66  | |   (10)  op(e2, e2) = e3
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (3), (4), (5), (10) are inconsistent by sub-proof #1347.
% 186.25/30.66  | | 
% 186.25/30.66  | End of split
% 186.25/30.66  | 
% 186.25/30.66  End of proof
% 186.25/30.66  
% 186.25/30.66  Sub-proof #1291 shows that the following formulas are inconsistent:
% 186.25/30.66  ----------------------------------------------------------------
% 186.25/30.66    (1)  op(e0, e0) = all_6_2
% 186.25/30.66    (2)   ~ (all_6_2 = e1)
% 186.25/30.66    (3)   ~ (all_6_2 = e3)
% 186.25/30.66    (4)  all_54_15 = all_6_2
% 186.25/30.66    (5)  all_54_15 = e1 | all_54_15 = e0
% 186.25/30.66    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.66           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.66    (7)  op(e0, e0) = e3
% 186.25/30.66  
% 186.25/30.66  Begin of proof
% 186.25/30.66  | 
% 186.25/30.66  | BETA: splitting (5) gives:
% 186.25/30.66  | 
% 186.25/30.66  | Case 1:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (8)  all_54_15 = e1
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (2), (4), (8) are inconsistent by sub-proof #1606.
% 186.25/30.66  | | 
% 186.25/30.66  | Case 2:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (9)  all_54_15 = e0
% 186.25/30.66  | | 
% 186.25/30.66  | | COMBINE_EQS: (4), (9) imply:
% 186.25/30.66  | |   (10)  all_6_2 = e0
% 186.25/30.66  | | 
% 186.25/30.66  | | SIMP: (10) implies:
% 186.25/30.66  | |   (11)  all_6_2 = e0
% 186.25/30.66  | | 
% 186.25/30.66  | | REDUCE: (3), (11) imply:
% 186.25/30.66  | |   (12)   ~ (e3 = e0)
% 186.25/30.66  | | 
% 186.25/30.66  | | SIMP: (12) implies:
% 186.25/30.66  | |   (13)   ~ (e3 = e0)
% 186.25/30.66  | | 
% 186.25/30.66  | | REDUCE: (1), (11) imply:
% 186.25/30.66  | |   (14)  op(e0, e0) = e0
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (6), (7), (13), (14) are inconsistent by sub-proof #1540.
% 186.25/30.66  | | 
% 186.25/30.66  | End of split
% 186.25/30.66  | 
% 186.25/30.66  End of proof
% 186.25/30.66  
% 186.25/30.66  Sub-proof #1292 shows that the following formulas are inconsistent:
% 186.25/30.66  ----------------------------------------------------------------
% 186.25/30.66    (1)   ~ (all_30_0 = e1) & op(e2, e2) = all_30_0 & $i(all_30_0)
% 186.25/30.66    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.66           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.66    (3)  op(e2, e2) = e1
% 186.25/30.66  
% 186.25/30.66  Begin of proof
% 186.25/30.66  | 
% 186.25/30.66  | ALPHA: (1) implies:
% 186.25/30.66  |   (4)   ~ (all_30_0 = e1)
% 186.25/30.66  |   (5)  op(e2, e2) = all_30_0
% 186.25/30.66  | 
% 186.25/30.66  | GROUND_INST: instantiating (2) with e1, all_30_0, e2, e2, simplifying with
% 186.25/30.66  |              (3), (5) gives:
% 186.25/30.66  |   (6)  all_30_0 = e1
% 186.25/30.66  | 
% 186.25/30.66  | REDUCE: (4), (6) imply:
% 186.25/30.66  |   (7)  $false
% 186.25/30.66  | 
% 186.25/30.66  | CLOSE: (7) is inconsistent.
% 186.25/30.66  | 
% 186.25/30.66  End of proof
% 186.25/30.66  
% 186.25/30.66  Sub-proof #1293 shows that the following formulas are inconsistent:
% 186.25/30.66  ----------------------------------------------------------------
% 186.25/30.66    (1)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.25/30.66    (2)  op(e0, e0) = all_6_2
% 186.25/30.66    (3)   ~ (all_6_2 = e1)
% 186.25/30.66    (4)   ~ (e1 = e0)
% 186.25/30.66    (5)   ~ (e3 = e0)
% 186.25/30.66    (6)   ~ (e2 = e0)
% 186.25/30.66    (7)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 186.25/30.66         (all_56_14 = e0 & op(e0, e1) = e0)
% 186.25/30.66    (8)   ~ (e3 = e1)
% 186.25/30.66    (9)   ~ (all_6_2 = e2)
% 186.25/30.66    (10)   ~ (all_52_7 = e0)
% 186.25/30.66    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.66            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.66    (12)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.25/30.66          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.25/30.66            e1)
% 186.25/30.66    (13)   ~ (e3 = e2)
% 186.25/30.66    (14)   ~ (e2 = e1)
% 186.25/30.66    (15)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.25/30.66          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.25/30.66            e2)
% 186.25/30.66    (16)  op(e0, e2) = all_52_7
% 186.25/30.66    (17)  op(e1, e1) = e1
% 186.25/30.66  
% 186.25/30.66  Begin of proof
% 186.25/30.66  | 
% 186.25/30.66  | BETA: splitting (1) gives:
% 186.25/30.66  | 
% 186.25/30.66  | Case 1:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (18)  all_56_8 = e3 & op(e1, e1) = e3
% 186.25/30.66  | | 
% 186.25/30.66  | | ALPHA: (18) implies:
% 186.25/30.66  | |   (19)  op(e1, e1) = e3
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (8), (11), (17), (19) are inconsistent by sub-proof #1541.
% 186.25/30.66  | | 
% 186.25/30.66  | Case 2:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (20)  all_56_14 = e3 & op(e0, e1) = e3
% 186.25/30.66  | | 
% 186.25/30.66  | | ALPHA: (20) implies:
% 186.25/30.66  | |   (21)  all_56_14 = e3
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 186.25/30.66  | |            (14), (15), (16), (21) are inconsistent by sub-proof #1439.
% 186.25/30.66  | | 
% 186.25/30.66  | End of split
% 186.25/30.66  | 
% 186.25/30.66  End of proof
% 186.25/30.66  
% 186.25/30.66  Sub-proof #1294 shows that the following formulas are inconsistent:
% 186.25/30.66  ----------------------------------------------------------------
% 186.25/30.66    (1)  all_57_26 = e2
% 186.25/30.66    (2)  op(e1, e0) = all_52_14
% 186.25/30.66    (3)   ~ (all_52_14 = e1)
% 186.25/30.66    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.66           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.66    (5)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 =
% 186.25/30.66             e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0)
% 186.25/30.66           & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 186.25/30.66             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.25/30.66           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 186.25/30.66           $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 186.25/30.66           $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 186.25/30.66           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 186.25/30.66           & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 186.25/30.66           op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 186.25/30.66           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 186.25/30.66           $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 186.25/30.66           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.25/30.66               op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 186.25/30.66               e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 186.25/30.66  
% 186.25/30.66  Begin of proof
% 186.25/30.66  | 
% 186.25/30.66  | BETA: splitting (5) gives:
% 186.25/30.66  | 
% 186.25/30.66  | Case 1:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (6)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 186.25/30.66  | |        (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.66  | |        (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) =
% 186.25/30.66  | |        all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 186.25/30.66  | |        op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 186.25/30.66  | |        $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.25/30.66  | |        $i(all_57_23) & $i(all_57_30)
% 186.25/30.66  | | 
% 186.25/30.66  | | ALPHA: (6) implies:
% 186.25/30.66  | |   (7)  op(e1, e0) = e1
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #1609.
% 186.25/30.66  | | 
% 186.25/30.66  | Case 2:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (8)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.25/30.66  | |        (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 186.25/30.66  | |        = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 186.25/30.66  | |        all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.25/30.66  | |          e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.25/30.66  | |        $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.25/30.66  | |        (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0)
% 186.25/30.66  | |          | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24
% 186.25/30.66  | |            = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #1295.
% 186.25/30.66  | | 
% 186.25/30.66  | End of split
% 186.25/30.66  | 
% 186.25/30.66  End of proof
% 186.25/30.66  
% 186.25/30.66  Sub-proof #1295 shows that the following formulas are inconsistent:
% 186.25/30.66  ----------------------------------------------------------------
% 186.25/30.66    (1)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.25/30.66         (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) =
% 186.25/30.66         all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15
% 186.25/30.66         & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 186.25/30.66         all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) & $i(all_57_15)
% 186.25/30.66         & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0 |
% 186.25/30.66           (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.25/30.66             all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 & all_57_27 = e0
% 186.25/30.66             & op(e1, e0) = e0))
% 186.25/30.66    (2)  all_57_26 = e2
% 186.25/30.66    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.66           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.66  
% 186.25/30.66  Begin of proof
% 186.25/30.66  | 
% 186.25/30.66  | ALPHA: (1) implies:
% 186.25/30.66  |   (4)   ~ (all_57_13 = e2)
% 186.25/30.66  |   (5)  op(e0, e2) = all_57_26
% 186.25/30.66  |   (6)  op(e0, all_57_26) = all_57_13
% 186.25/30.66  | 
% 186.25/30.66  | REDUCE: (2), (6) imply:
% 186.25/30.66  |   (7)  op(e0, e2) = all_57_13
% 186.25/30.66  | 
% 186.25/30.66  | REDUCE: (2), (5) imply:
% 186.25/30.66  |   (8)  op(e0, e2) = e2
% 186.25/30.66  | 
% 186.25/30.66  | GROUND_INST: instantiating (3) with e2, all_57_13, e2, e0, simplifying with
% 186.25/30.66  |              (7), (8) gives:
% 186.25/30.66  |   (9)  all_57_13 = e2
% 186.25/30.66  | 
% 186.25/30.66  | REDUCE: (4), (9) imply:
% 186.25/30.66  |   (10)  $false
% 186.25/30.66  | 
% 186.25/30.66  | CLOSE: (10) is inconsistent.
% 186.25/30.66  | 
% 186.25/30.66  End of proof
% 186.25/30.66  
% 186.25/30.66  Sub-proof #1296 shows that the following formulas are inconsistent:
% 186.25/30.66  ----------------------------------------------------------------
% 186.25/30.66    (1)   ~ (all_57_21 = e2)
% 186.25/30.66    (2)  op(e2, e0) = all_57_21
% 186.25/30.66    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.66           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.66    (4)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 186.25/30.66             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.25/30.66           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 186.25/30.66             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 186.25/30.66           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 186.25/30.66           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 186.25/30.66           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 186.25/30.66           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 186.25/30.66           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 186.25/30.66           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.25/30.66             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 186.25/30.66           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.25/30.66           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 186.25/30.66    (5)   ~ (e3 = e2)
% 186.25/30.66    (6)  op(e2, e1) = e3
% 186.25/30.66  
% 186.25/30.66  Begin of proof
% 186.25/30.66  | 
% 186.25/30.66  | BETA: splitting (4) gives:
% 186.25/30.66  | 
% 186.25/30.66  | Case 1:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (7)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4
% 186.25/30.66  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 186.25/30.66  | |          e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 &
% 186.25/30.66  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 186.25/30.66  | |        all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 186.25/30.66  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 186.25/30.66  | |        $i(all_57_21) & $i(all_57_29)
% 186.25/30.66  | | 
% 186.25/30.66  | | ALPHA: (7) implies:
% 186.25/30.66  | |   (8)  op(e2, e1) = e2
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1297.
% 186.25/30.66  | | 
% 186.25/30.66  | Case 2:
% 186.25/30.66  | | 
% 186.25/30.66  | |   (9)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4
% 186.25/30.66  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 =
% 186.25/30.66  | |          e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20) = all_57_6 &
% 186.25/30.66  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 186.25/30.66  | |        all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) =
% 186.25/30.66  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_19) &
% 186.25/30.66  | |        $i(all_57_20) & $i(all_57_29)
% 186.25/30.66  | | 
% 186.25/30.66  | | ALPHA: (9) implies:
% 186.25/30.66  | |   (10)  op(e2, e0) = e2
% 186.25/30.66  | | 
% 186.25/30.66  | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #1388.
% 186.25/30.66  | | 
% 186.25/30.66  | End of split
% 186.25/30.66  | 
% 186.25/30.66  End of proof
% 186.25/30.66  
% 186.25/30.66  Sub-proof #1297 shows that the following formulas are inconsistent:
% 186.25/30.66  ----------------------------------------------------------------
% 186.25/30.67    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.67    (2)  op(e2, e1) = e3
% 186.25/30.67    (3)  op(e2, e1) = e2
% 186.25/30.67    (4)   ~ (e3 = e2)
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | GROUND_INST: instantiating (1) with e2, e3, e1, e2, simplifying with (2), (3)
% 186.25/30.67  |              gives:
% 186.25/30.67  |   (5)  e3 = e2
% 186.25/30.67  | 
% 186.25/30.67  | REDUCE: (4), (5) imply:
% 186.25/30.67  |   (6)  $false
% 186.25/30.67  | 
% 186.25/30.67  | CLOSE: (6) is inconsistent.
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1298 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)  op(e0, e0) = all_6_2
% 186.25/30.67    (2)  op(e0, e3) = e1
% 186.25/30.67    (3)   ~ (e2 = e0)
% 186.25/30.67    (4)   ~ (e3 = e1)
% 186.25/30.67    (5)   ~ (all_52_4 = all_52_7)
% 186.25/30.67    (6)   ~ (all_6_2 = e2)
% 186.25/30.67    (7)  op(e0, e3) = all_52_3
% 186.25/30.67    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.67    (9)  all_56_12 = e1
% 186.25/30.67    (10)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 186.25/30.67              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 186.25/30.67            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 186.25/30.67              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 186.25/30.67            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 186.25/30.67            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 186.25/30.67            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 186.25/30.67            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 186.25/30.67            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.25/30.67              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 186.25/30.67              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 186.25/30.67            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 186.25/30.67            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 186.25/30.67            $i(all_57_29))
% 186.25/30.67    (11)  op(e3, e2) = all_52_4
% 186.25/30.67    (12)   ~ (e2 = e1)
% 186.25/30.67    (13)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.25/30.67          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.25/30.67            e2)
% 186.25/30.67    (14)  op(e0, e2) = all_52_7
% 186.25/30.67    (15)  all_56_14 = e0
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | BETA: splitting (10) gives:
% 186.25/30.67  | 
% 186.25/30.67  | Case 1:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (16)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~
% 186.25/30.67  | |         (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~
% 186.25/30.67  | |         (all_57_28 = e0) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.25/30.67  | |         = all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 186.25/30.67  | |         op(e3, e2) = all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.25/30.67  | |         op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 186.25/30.67  | |         $i(all_57_16) & $i(all_57_17) & $i(all_57_28)
% 186.25/30.67  | | 
% 186.25/30.67  | | ALPHA: (16) implies:
% 186.25/30.67  | |   (17)  op(e0, e3) = e3
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (2), (4), (7), (8), (17) are inconsistent by sub-proof #1529.
% 186.25/30.67  | | 
% 186.25/30.67  | Case 2:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (18)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~
% 186.25/30.67  | |         (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~
% 186.25/30.67  | |         (all_57_29 = e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 &
% 186.25/30.67  | |         op(e2, all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.25/30.67  | |           e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 186.25/30.67  | |         op(e2, e0) = all_57_21 & $i(all_57_5) & $i(all_57_6) & $i(all_57_7)
% 186.25/30.67  | |         & $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 186.25/30.67  | | 
% 186.25/30.67  | | ALPHA: (18) implies:
% 186.25/30.67  | |   (19)  op(e3, e2) = e2
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (1), (3), (5), (6), (8), (9), (11), (12), (13), (14), (15), (19)
% 186.25/30.67  | |            are inconsistent by sub-proof #1299.
% 186.25/30.67  | | 
% 186.25/30.67  | End of split
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1299 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)  op(e0, e0) = all_6_2
% 186.25/30.67    (2)   ~ (e2 = e0)
% 186.25/30.67    (3)   ~ (all_52_4 = all_52_7)
% 186.25/30.67    (4)   ~ (all_6_2 = e2)
% 186.25/30.67    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.67    (6)  all_56_12 = e1
% 186.25/30.67    (7)  op(e3, e2) = all_52_4
% 186.25/30.67    (8)   ~ (e2 = e1)
% 186.25/30.67    (9)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 186.25/30.67         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.25/30.67    (10)  op(e3, e2) = e2
% 186.25/30.67    (11)  op(e0, e2) = all_52_7
% 186.25/30.67    (12)  all_56_14 = e0
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | BETA: splitting (9) gives:
% 186.25/30.67  | 
% 186.25/30.67  | Case 1:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (13)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 186.25/30.67  | |           e2)
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (3), (5), (6), (7), (8), (10), (11), (13) are inconsistent by
% 186.25/30.67  | |            sub-proof #1341.
% 186.25/30.67  | | 
% 186.25/30.67  | Case 2:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (14)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.25/30.67  | |           e2)
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (1), (2), (4), (5), (12), (14) are inconsistent by sub-proof
% 186.25/30.67  | |            #1300.
% 186.25/30.67  | | 
% 186.25/30.67  | End of split
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1300 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)  op(e0, e0) = all_6_2
% 186.25/30.67    (2)   ~ (e2 = e0)
% 186.25/30.67    (3)   ~ (all_6_2 = e2)
% 186.25/30.67    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.67    (5)  all_56_14 = e0
% 186.25/30.67    (6)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | BETA: splitting (6) gives:
% 186.25/30.67  | 
% 186.25/30.67  | Case 1:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (7)  all_56_14 = e2 & op(e0, e1) = e2
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #1472.
% 186.25/30.67  | | 
% 186.25/30.67  | Case 2:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (8)  all_56_15 = e2 & op(e0, e0) = e2
% 186.25/30.67  | | 
% 186.25/30.67  | | ALPHA: (8) implies:
% 186.25/30.67  | |   (9)  op(e0, e0) = e2
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (1), (3), (4), (9) are inconsistent by sub-proof #1511.
% 186.25/30.67  | | 
% 186.25/30.67  | End of split
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1301 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)   ~ (all_4_2 = e0)
% 186.25/30.67    (2)   ~ (e1 = e0)
% 186.25/30.67    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.67    (4)  op(e2, e2) = e1
% 186.25/30.67    (5)  op(e3, e3) = all_4_2
% 186.25/30.67    (6)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | BETA: splitting (6) gives:
% 186.25/30.67  | 
% 186.25/30.67  | Case 1:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (7)  all_57_28 = e0 & op(e3, e3) = e0
% 186.25/30.67  | | 
% 186.25/30.67  | | ALPHA: (7) implies:
% 186.25/30.67  | |   (8)  op(e3, e3) = e0
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1624.
% 186.25/30.67  | | 
% 186.25/30.67  | Case 2:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (9)  all_57_29 = e0 & op(e2, e2) = e0
% 186.25/30.67  | | 
% 186.25/30.67  | | ALPHA: (9) implies:
% 186.25/30.67  | |   (10)  op(e2, e2) = e0
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #1310.
% 186.25/30.67  | | 
% 186.25/30.67  | End of split
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1302 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)  all_54_13 = all_52_7
% 186.25/30.67    (2)  all_54_13 = e3
% 186.25/30.67    (3)   ~ (all_52_7 = e3)
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.67  |   (4)  all_52_7 = e3
% 186.25/30.67  | 
% 186.25/30.67  | SIMP: (4) implies:
% 186.25/30.67  |   (5)  all_52_7 = e3
% 186.25/30.67  | 
% 186.25/30.67  | REDUCE: (3), (5) imply:
% 186.25/30.67  |   (6)  $false
% 186.25/30.67  | 
% 186.25/30.67  | CLOSE: (6) is inconsistent.
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1303 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)   ~ (all_52_14 = e0)
% 186.25/30.67    (2)   ~ (e1 = e0)
% 186.25/30.67    (3)  op(e1, e0) = all_52_14
% 186.25/30.67    (4)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) = e0) |
% 186.25/30.67         (all_56_11 = e0 & op(e1, e0) = e0)
% 186.25/30.67    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.67    (6)  op(e2, e0) = all_52_13
% 186.25/30.67    (7)  all_56_9 = e1
% 186.25/30.67    (8)   ~ (all_52_13 = e0)
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | BETA: splitting (4) gives:
% 186.25/30.67  | 
% 186.25/30.67  | Case 1:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (9)  all_56_9 = e0 & op(e3, e0) = e0
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (2), (7), (9) are inconsistent by sub-proof #1505.
% 186.25/30.67  | | 
% 186.25/30.67  | Case 2:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (10)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 186.25/30.67  | |           e0)
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (1), (3), (5), (6), (8), (10) are inconsistent by sub-proof
% 186.25/30.67  | |            #1304.
% 186.25/30.67  | | 
% 186.25/30.67  | End of split
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1304 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)   ~ (all_52_14 = e0)
% 186.25/30.67    (2)  op(e1, e0) = all_52_14
% 186.25/30.67    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.67    (4)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.25/30.67    (5)  op(e2, e0) = all_52_13
% 186.25/30.67    (6)   ~ (all_52_13 = e0)
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | BETA: splitting (4) gives:
% 186.25/30.67  | 
% 186.25/30.67  | Case 1:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (7)  all_56_10 = e0 & op(e2, e0) = e0
% 186.25/30.67  | | 
% 186.25/30.67  | | ALPHA: (7) implies:
% 186.25/30.67  | |   (8)  op(e2, e0) = e0
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1504.
% 186.25/30.67  | | 
% 186.25/30.67  | Case 2:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (9)  all_56_11 = e0 & op(e1, e0) = e0
% 186.25/30.67  | | 
% 186.25/30.67  | | ALPHA: (9) implies:
% 186.25/30.67  | |   (10)  op(e1, e0) = e0
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #1318.
% 186.25/30.67  | | 
% 186.25/30.67  | End of split
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1305 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)  all_54_14 = e1 | all_54_14 = e0
% 186.25/30.67    (2)  all_54_14 = all_52_11
% 186.25/30.67    (3)   ~ (all_52_11 = e1)
% 186.25/30.67    (4)   ~ (all_52_11 = e0)
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | BETA: splitting (1) gives:
% 186.25/30.67  | 
% 186.25/30.67  | Case 1:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (5)  all_54_14 = e1
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #1307.
% 186.25/30.67  | | 
% 186.25/30.67  | Case 2:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (6)  all_54_14 = e0
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1306.
% 186.25/30.67  | | 
% 186.25/30.67  | End of split
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1306 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)  all_54_14 = all_52_11
% 186.25/30.67    (2)  all_54_14 = e0
% 186.25/30.67    (3)   ~ (all_52_11 = e0)
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.67  |   (4)  all_52_11 = e0
% 186.25/30.67  | 
% 186.25/30.67  | SIMP: (4) implies:
% 186.25/30.67  |   (5)  all_52_11 = e0
% 186.25/30.67  | 
% 186.25/30.67  | REDUCE: (3), (5) imply:
% 186.25/30.67  |   (6)  $false
% 186.25/30.67  | 
% 186.25/30.67  | CLOSE: (6) is inconsistent.
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1307 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)  all_54_14 = all_52_11
% 186.25/30.67    (2)  all_54_14 = e1
% 186.25/30.67    (3)   ~ (all_52_11 = e1)
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.67  |   (4)  all_52_11 = e1
% 186.25/30.67  | 
% 186.25/30.67  | SIMP: (4) implies:
% 186.25/30.67  |   (5)  all_52_11 = e1
% 186.25/30.67  | 
% 186.25/30.67  | REDUCE: (3), (5) imply:
% 186.25/30.67  |   (6)  $false
% 186.25/30.67  | 
% 186.25/30.67  | CLOSE: (6) is inconsistent.
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1308 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)   ~ (e1 = e0)
% 186.25/30.67    (2)   ~ (e3 = e0)
% 186.25/30.67    (3)  all_56_5 = e3
% 186.25/30.67    (4)   ~ (e2 = e0)
% 186.25/30.67    (5)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.25/30.67         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 186.25/30.67    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.67    (7)  op(e2, e3) = e2
% 186.25/30.67    (8)  op(e2, e2) = e1
% 186.25/30.67    (9)  op(e2, e0) = all_52_13
% 186.25/30.67    (10)   ~ (all_52_13 = e0)
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | BETA: splitting (5) gives:
% 186.25/30.67  | 
% 186.25/30.67  | Case 1:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (11)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 186.25/30.67  | |           e0)
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (1), (4), (6), (7), (8), (11) are inconsistent by sub-proof
% 186.25/30.67  | |            #1309.
% 186.25/30.67  | | 
% 186.25/30.67  | Case 2:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (12)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 186.25/30.67  | |           e0)
% 186.25/30.67  | | 
% 186.25/30.67  | | BETA: splitting (12) gives:
% 186.25/30.67  | | 
% 186.25/30.67  | | Case 1:
% 186.25/30.67  | | | 
% 186.25/30.67  | | |   (13)  all_56_5 = e0 & op(e2, e1) = e0
% 186.25/30.67  | | | 
% 186.25/30.67  | | | ALPHA: (13) implies:
% 186.25/30.67  | | |   (14)  all_56_5 = e0
% 186.25/30.67  | | | 
% 186.25/30.67  | | | REF_CLOSE: (2), (3), (14) are inconsistent by sub-proof #1410.
% 186.25/30.67  | | | 
% 186.25/30.67  | | Case 2:
% 186.25/30.67  | | | 
% 186.25/30.67  | | |   (15)  all_56_10 = e0 & op(e2, e0) = e0
% 186.25/30.67  | | | 
% 186.25/30.67  | | | ALPHA: (15) implies:
% 186.25/30.67  | | |   (16)  op(e2, e0) = e0
% 186.25/30.67  | | | 
% 186.25/30.67  | | | REF_CLOSE: (6), (9), (10), (16) are inconsistent by sub-proof #1504.
% 186.25/30.67  | | | 
% 186.25/30.67  | | End of split
% 186.25/30.67  | | 
% 186.25/30.67  | End of split
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1309 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)   ~ (e1 = e0)
% 186.25/30.67    (2)   ~ (e2 = e0)
% 186.25/30.67    (3)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 186.25/30.67    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.67    (5)  op(e2, e3) = e2
% 186.25/30.67    (6)  op(e2, e2) = e1
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | BETA: splitting (3) gives:
% 186.25/30.67  | 
% 186.25/30.67  | Case 1:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (7)  all_56_2 = e0 & op(e2, e3) = e0
% 186.25/30.67  | | 
% 186.25/30.67  | | ALPHA: (7) implies:
% 186.25/30.67  | |   (8)  op(e2, e3) = e0
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1412.
% 186.25/30.67  | | 
% 186.25/30.67  | Case 2:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (9)  all_56_3 = e0 & op(e2, e2) = e0
% 186.25/30.67  | | 
% 186.25/30.67  | | ALPHA: (9) implies:
% 186.25/30.67  | |   (10)  op(e2, e2) = e0
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (1), (4), (6), (10) are inconsistent by sub-proof #1310.
% 186.25/30.67  | | 
% 186.25/30.67  | End of split
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1310 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.67    (2)  op(e2, e2) = e1
% 186.25/30.67    (3)  op(e2, e2) = e0
% 186.25/30.67    (4)   ~ (e1 = e0)
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | GROUND_INST: instantiating (1) with e0, e1, e2, e2, simplifying with (2), (3)
% 186.25/30.67  |              gives:
% 186.25/30.67  |   (5)  e1 = e0
% 186.25/30.67  | 
% 186.25/30.67  | REDUCE: (4), (5) imply:
% 186.25/30.67  |   (6)  $false
% 186.25/30.67  | 
% 186.25/30.67  | CLOSE: (6) is inconsistent.
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1311 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)  all_54_13 = e1 | all_54_13 = e0
% 186.25/30.67    (2)  all_54_13 = all_52_7
% 186.25/30.67    (3)   ~ (all_52_7 = e1)
% 186.25/30.67    (4)   ~ (all_52_7 = e0)
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | BETA: splitting (1) gives:
% 186.25/30.67  | 
% 186.25/30.67  | Case 1:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (5)  all_54_13 = e1
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #1313.
% 186.25/30.67  | | 
% 186.25/30.67  | Case 2:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (6)  all_54_13 = e0
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1312.
% 186.25/30.67  | | 
% 186.25/30.67  | End of split
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1312 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)  all_54_13 = all_52_7
% 186.25/30.67    (2)  all_54_13 = e0
% 186.25/30.67    (3)   ~ (all_52_7 = e0)
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.67  |   (4)  all_52_7 = e0
% 186.25/30.67  | 
% 186.25/30.67  | SIMP: (4) implies:
% 186.25/30.67  |   (5)  all_52_7 = e0
% 186.25/30.67  | 
% 186.25/30.67  | REDUCE: (3), (5) imply:
% 186.25/30.67  |   (6)  $false
% 186.25/30.67  | 
% 186.25/30.67  | CLOSE: (6) is inconsistent.
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1313 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)  all_54_13 = all_52_7
% 186.25/30.67    (2)  all_54_13 = e1
% 186.25/30.67    (3)   ~ (all_52_7 = e1)
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.67  |   (4)  all_52_7 = e1
% 186.25/30.67  | 
% 186.25/30.67  | SIMP: (4) implies:
% 186.25/30.67  |   (5)  all_52_7 = e1
% 186.25/30.67  | 
% 186.25/30.67  | REDUCE: (3), (5) imply:
% 186.25/30.67  |   (6)  $false
% 186.25/30.67  | 
% 186.25/30.67  | CLOSE: (6) is inconsistent.
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1314 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 = e1 &  ~ (all_57_9 =
% 186.25/30.67             e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3)
% 186.25/30.67           & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1, all_57_24) =
% 186.25/30.67           all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = e1 & op(e1,
% 186.25/30.67             e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 &
% 186.25/30.67           $i(all_57_9) & $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.25/30.67           $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30 & all_57_20 = e1
% 186.25/30.67           & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.67           (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1 & op(e1,
% 186.25/30.67             all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 & op(e1,
% 186.25/30.67             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) = e1 &
% 186.25/30.67           op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 186.25/30.67           $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 186.25/30.67           $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 186.25/30.67               = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 186.25/30.67               &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 186.25/30.67               op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.67               op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2)
% 186.25/30.67               = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 186.25/30.67               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.25/30.67               $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.25/30.67               (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 186.25/30.67               op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.25/30.67               op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 186.25/30.67               op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 186.25/30.67               all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.25/30.67               $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.25/30.67               (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 186.25/30.67                   e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.67                 (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 186.25/30.67    (2)   ~ (all_52_14 = e0)
% 186.25/30.67    (3)   ~ (e1 = e0)
% 186.25/30.67    (4)  op(e1, e0) = all_52_14
% 186.25/30.67    (5)  op(e0, e3) = e1
% 186.25/30.67    (6)  op(e2, e1) = all_52_9
% 186.25/30.67    (7)   ~ (all_52_14 = e1)
% 186.25/30.67    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.67    (9)  op(e2, e0) = all_52_13
% 186.25/30.67    (10)  op(e3, e1) = all_52_8
% 186.25/30.67    (11)   ~ (all_52_13 = e0)
% 186.25/30.67    (12)   ~ (all_52_9 = e1)
% 186.25/30.67    (13)   ~ (all_52_8 = e1)
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | BETA: splitting (1) gives:
% 186.25/30.67  | 
% 186.25/30.67  | Case 1:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (14)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 = e1 &  ~
% 186.25/30.67  | |         (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 186.25/30.67  | |         (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.67  | |         op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 186.25/30.67  | |         op(e1, e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 &
% 186.25/30.67  | |         op(e1, e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 186.25/30.67  | |         $i(all_57_11) & $i(all_57_23) & $i(all_57_24) & $i(all_57_30)
% 186.25/30.67  | | 
% 186.25/30.67  | | ALPHA: (14) implies:
% 186.25/30.67  | |   (15)  op(e3, e1) = e1
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (8), (10), (13), (15) are inconsistent by sub-proof #1611.
% 186.25/30.67  | | 
% 186.25/30.67  | Case 2:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (16)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.25/30.67  | |           (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 186.25/30.67  | |           (all_57_30 = e2) & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8
% 186.25/30.67  | |           & op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 186.25/30.67  | |           op(e1, e3) = all_57_22 & op(e1, e2) = e1 & op(e1, e1) = all_57_30
% 186.25/30.67  | |           & op(e1, e0) = all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 186.25/30.67  | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.25/30.67  | |         (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 186.25/30.67  | |               all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.25/30.67  | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 186.25/30.67  | |               op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.67  | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 186.25/30.67  | |               op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 186.25/30.67  | |               e1 & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 186.25/30.67  | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~
% 186.25/30.67  | |               (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &
% 186.25/30.67  | |                ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0,
% 186.25/30.67  | |                 all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 186.25/30.67  | |               op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 &
% 186.25/30.67  | |               op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31 &
% 186.25/30.67  | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14) & $i(all_57_15)
% 186.25/30.67  | |               & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.25/30.67  | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 186.25/30.67  | |                 (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.67  | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 186.25/30.67  | | 
% 186.25/30.67  | | BETA: splitting (16) gives:
% 186.25/30.67  | | 
% 186.25/30.67  | | Case 1:
% 186.25/30.67  | | | 
% 186.25/30.67  | | |   (17)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.25/30.67  | | |         (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 186.25/30.67  | | |         (all_57_30 = e2) & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8
% 186.25/30.67  | | |         & op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 186.25/30.67  | | |         op(e1, e3) = all_57_22 & op(e1, e2) = e1 & op(e1, e1) = all_57_30
% 186.25/30.67  | | |         & op(e1, e0) = all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 186.25/30.67  | | |         $i(all_57_11) & $i(all_57_22) & $i(all_57_24) & $i(all_57_30)
% 186.25/30.67  | | | 
% 186.25/30.67  | | | ALPHA: (17) implies:
% 186.25/30.67  | | |   (18)  op(e2, e1) = e1
% 186.25/30.67  | | | 
% 186.25/30.67  | | | REF_CLOSE: (6), (8), (12), (18) are inconsistent by sub-proof #1610.
% 186.25/30.67  | | | 
% 186.25/30.67  | | Case 2:
% 186.25/30.67  | | | 
% 186.25/30.67  | | |   (19)  op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 186.25/30.67  | | |             all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.25/30.67  | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 186.25/30.67  | | |             op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.67  | | |             op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 186.25/30.67  | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 186.25/30.67  | | |             e1 & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 186.25/30.67  | | |             $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~
% 186.25/30.67  | | |             (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &
% 186.25/30.67  | | |              ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0,
% 186.25/30.67  | | |               all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 186.25/30.67  | | |             op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 &
% 186.25/30.67  | | |             op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31 &
% 186.25/30.67  | | |             $i(all_57_12) & $i(all_57_13) & $i(all_57_14) & $i(all_57_15)
% 186.25/30.67  | | |             & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.25/30.67  | | |               e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 186.25/30.67  | | |               (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.67  | | |               (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))))
% 186.25/30.67  | | | 
% 186.25/30.67  | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (11), (19) are inconsistent
% 186.25/30.67  | | |            by sub-proof #1315.
% 186.25/30.67  | | | 
% 186.25/30.67  | | End of split
% 186.25/30.67  | | 
% 186.25/30.67  | End of split
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1315 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)   ~ (all_52_14 = e0)
% 186.25/30.67    (2)   ~ (e1 = e0)
% 186.25/30.67    (3)  op(e1, e0) = all_52_14
% 186.25/30.67    (4)  op(e0, e3) = e1
% 186.25/30.67    (5)  op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 186.25/30.67             all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 =
% 186.25/30.67               e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1, all_57_22)
% 186.25/30.67             = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1, all_57_30) =
% 186.25/30.67             all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.25/30.67               e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) & $i(all_57_9) &
% 186.25/30.67             $i(all_57_10) & $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~
% 186.25/30.67             (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.25/30.67             (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 186.25/30.67             = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 186.25/30.67             all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.25/30.67               e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.25/30.67             $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.25/30.67             (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0)
% 186.25/30.67               | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24
% 186.25/30.67                 = e0 & all_57_27 = e0 & op(e1, e0) = e0))))
% 186.25/30.67    (6)   ~ (all_52_14 = e1)
% 186.25/30.67    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.67    (8)  op(e2, e0) = all_52_13
% 186.25/30.67    (9)   ~ (all_52_13 = e0)
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | ALPHA: (5) implies:
% 186.25/30.67  |   (10)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 186.25/30.67  |           (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.67  |           (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23)
% 186.25/30.67  |           = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22
% 186.25/30.67  |           & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1
% 186.25/30.67  |           & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.25/30.67  |           $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.25/30.67  |           (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 186.25/30.67  |           op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.25/30.67  |           op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 186.25/30.67  |           op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 186.25/30.67  |           all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.25/30.67  |           $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.25/30.67  |           (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 186.25/30.67  |               e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.67  |             (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 186.25/30.67  | 
% 186.25/30.67  | BETA: splitting (10) gives:
% 186.25/30.67  | 
% 186.25/30.67  | Case 1:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (11)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 186.25/30.67  | |         (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.25/30.67  | |         (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23)
% 186.25/30.67  | |         = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22
% 186.25/30.67  | |         & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1
% 186.25/30.67  | |         & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.25/30.67  | |         $i(all_57_23) & $i(all_57_30)
% 186.25/30.67  | | 
% 186.25/30.67  | | ALPHA: (11) implies:
% 186.25/30.67  | |   (12)  op(e1, e0) = e1
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (3), (6), (7), (12) are inconsistent by sub-proof #1609.
% 186.25/30.67  | | 
% 186.25/30.67  | Case 2:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (13)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.25/30.67  | |         (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 186.25/30.67  | |         = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 186.25/30.67  | |         all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.25/30.67  | |           e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.25/30.67  | |         $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.25/30.67  | |         (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 186.25/30.67  | |             e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.25/30.67  | |           (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 186.25/30.67  | | 
% 186.25/30.67  | | ALPHA: (13) implies:
% 186.25/30.67  | |   (14)   ~ (all_57_15 = e0)
% 186.25/30.67  | |   (15)  op(e0, e0) = all_57_31
% 186.25/30.67  | |   (16)  op(e0, e3) = all_57_25
% 186.25/30.67  | |   (17)  op(e0, all_57_31) = all_57_15
% 186.25/30.67  | |   (18)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0)
% 186.25/30.67  | |         | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 =
% 186.25/30.67  | |           e0 & all_57_27 = e0 & op(e1, e0) = e0)
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (14), (15), (16), (17), (18)
% 186.25/30.67  | |            are inconsistent by sub-proof #1316.
% 186.25/30.67  | | 
% 186.25/30.67  | End of split
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1316 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)   ~ (all_52_14 = e0)
% 186.25/30.67    (2)   ~ (e1 = e0)
% 186.25/30.67    (3)  op(e1, e0) = all_52_14
% 186.25/30.67    (4)   ~ (all_57_15 = e0)
% 186.25/30.67    (5)  op(e0, e0) = all_57_31
% 186.25/30.67    (6)  op(e0, e3) = all_57_25
% 186.25/30.67    (7)  op(e0, e3) = e1
% 186.25/30.67    (8)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 186.25/30.67         (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 186.25/30.67           all_57_27 = e0 & op(e1, e0) = e0)
% 186.25/30.67    (9)  op(e0, all_57_31) = all_57_15
% 186.25/30.67    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.67            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.67    (11)  op(e2, e0) = all_52_13
% 186.25/30.67    (12)   ~ (all_52_13 = e0)
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | BETA: splitting (8) gives:
% 186.25/30.67  | 
% 186.25/30.67  | Case 1:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (13)  all_57_31 = e0
% 186.25/30.67  | | 
% 186.25/30.67  | | REDUCE: (9), (13) imply:
% 186.25/30.67  | |   (14)  op(e0, e0) = all_57_15
% 186.25/30.67  | | 
% 186.25/30.67  | | REDUCE: (5), (13) imply:
% 186.25/30.67  | |   (15)  op(e0, e0) = e0
% 186.25/30.67  | | 
% 186.25/30.67  | | REF_CLOSE: (4), (10), (14), (15) are inconsistent by sub-proof #1605.
% 186.25/30.67  | | 
% 186.25/30.67  | Case 2:
% 186.25/30.67  | | 
% 186.25/30.67  | |   (16)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 =
% 186.25/30.67  | |           e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 186.25/30.67  | |           all_57_27 = e0 & op(e1, e0) = e0)
% 186.25/30.67  | | 
% 186.25/30.67  | | BETA: splitting (16) gives:
% 186.25/30.67  | | 
% 186.25/30.67  | | Case 1:
% 186.25/30.67  | | | 
% 186.25/30.67  | | |   (17)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 186.25/30.67  | | | 
% 186.25/30.67  | | | ALPHA: (17) implies:
% 186.25/30.67  | | |   (18)  all_57_25 = e0
% 186.25/30.67  | | | 
% 186.25/30.67  | | | REDUCE: (6), (18) imply:
% 186.25/30.67  | | |   (19)  op(e0, e3) = e0
% 186.25/30.67  | | | 
% 186.25/30.67  | | | REF_CLOSE: (2), (7), (10), (19) are inconsistent by sub-proof #1589.
% 186.25/30.67  | | | 
% 186.25/30.67  | | Case 2:
% 186.25/30.67  | | | 
% 186.25/30.67  | | |   (20)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 =
% 186.25/30.67  | | |           e0 & all_57_27 = e0 & op(e1, e0) = e0)
% 186.25/30.67  | | | 
% 186.25/30.67  | | | REF_CLOSE: (1), (3), (10), (11), (12), (20) are inconsistent by sub-proof
% 186.25/30.67  | | |            #1317.
% 186.25/30.67  | | | 
% 186.25/30.67  | | End of split
% 186.25/30.67  | | 
% 186.25/30.67  | End of split
% 186.25/30.67  | 
% 186.25/30.67  End of proof
% 186.25/30.67  
% 186.25/30.67  Sub-proof #1317 shows that the following formulas are inconsistent:
% 186.25/30.67  ----------------------------------------------------------------
% 186.25/30.67    (1)   ~ (all_52_14 = e0)
% 186.25/30.67    (2)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 186.25/30.67           all_57_27 = e0 & op(e1, e0) = e0)
% 186.25/30.67    (3)  op(e1, e0) = all_52_14
% 186.25/30.67    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.67           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.67    (5)  op(e2, e0) = all_52_13
% 186.25/30.67    (6)   ~ (all_52_13 = e0)
% 186.25/30.67  
% 186.25/30.67  Begin of proof
% 186.25/30.67  | 
% 186.25/30.67  | BETA: splitting (2) gives:
% 186.25/30.67  | 
% 186.25/30.67  | Case 1:
% 186.25/30.67  | | 
% 186.25/30.68  | |   (7)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 186.25/30.68  | | 
% 186.25/30.68  | | ALPHA: (7) implies:
% 186.25/30.68  | |   (8)  op(e2, e0) = e0
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (4), (5), (6), (8) are inconsistent by sub-proof #1504.
% 186.25/30.68  | | 
% 186.25/30.68  | Case 2:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (9)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 186.25/30.68  | | 
% 186.25/30.68  | | ALPHA: (9) implies:
% 186.25/30.68  | |   (10)  op(e1, e0) = e0
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #1318.
% 186.25/30.68  | | 
% 186.25/30.68  | End of split
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1318 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.68    (2)  op(e1, e0) = all_52_14
% 186.25/30.68    (3)  op(e1, e0) = e0
% 186.25/30.68    (4)   ~ (all_52_14 = e0)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | GROUND_INST: instantiating (1) with all_52_14, e0, e0, e1, simplifying with
% 186.25/30.68  |              (2), (3) gives:
% 186.25/30.68  |   (5)  all_52_14 = e0
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (4), (5) imply:
% 186.25/30.68  |   (6)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (6) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1319 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)   ~ (all_52_6 = e0)
% 186.25/30.68    (2)   ~ (all_52_6 = e1)
% 186.25/30.68    (3)   ~ (all_52_6 = e2)
% 186.25/30.68    (4)  all_54_9 = all_52_6
% 186.25/30.68    (5)  all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | BETA: splitting (5) gives:
% 186.25/30.68  | 
% 186.25/30.68  | Case 1:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (6)  all_54_9 = e2
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #1323.
% 186.25/30.68  | | 
% 186.25/30.68  | Case 2:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (7)  all_54_9 = e1 | all_54_9 = e0
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #1320.
% 186.25/30.68  | | 
% 186.25/30.68  | End of split
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1320 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  all_54_9 = e1 | all_54_9 = e0
% 186.25/30.68    (2)  all_54_9 = all_52_6
% 186.25/30.68    (3)   ~ (all_52_6 = e1)
% 186.25/30.68    (4)   ~ (all_52_6 = e0)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | BETA: splitting (1) gives:
% 186.25/30.68  | 
% 186.25/30.68  | Case 1:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (5)  all_54_9 = e1
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #1322.
% 186.25/30.68  | | 
% 186.25/30.68  | Case 2:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (6)  all_54_9 = e0
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1321.
% 186.25/30.68  | | 
% 186.25/30.68  | End of split
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1321 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  all_54_9 = all_52_6
% 186.25/30.68    (2)  all_54_9 = e0
% 186.25/30.68    (3)   ~ (all_52_6 = e0)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.68  |   (4)  all_52_6 = e0
% 186.25/30.68  | 
% 186.25/30.68  | SIMP: (4) implies:
% 186.25/30.68  |   (5)  all_52_6 = e0
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (3), (5) imply:
% 186.25/30.68  |   (6)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (6) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1322 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  all_54_9 = all_52_6
% 186.25/30.68    (2)  all_54_9 = e1
% 186.25/30.68    (3)   ~ (all_52_6 = e1)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.68  |   (4)  all_52_6 = e1
% 186.25/30.68  | 
% 186.25/30.68  | SIMP: (4) implies:
% 186.25/30.68  |   (5)  all_52_6 = e1
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (3), (5) imply:
% 186.25/30.68  |   (6)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (6) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1323 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  all_54_9 = all_52_6
% 186.25/30.68    (2)  all_54_9 = e2
% 186.25/30.68    (3)   ~ (all_52_6 = e2)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.68  |   (4)  all_52_6 = e2
% 186.25/30.68  | 
% 186.25/30.68  | SIMP: (4) implies:
% 186.25/30.68  |   (5)  all_52_6 = e2
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (3), (5) imply:
% 186.25/30.68  |   (6)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (6) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1324 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  all_54_2 = e1 | all_54_2 = e0
% 186.25/30.68    (2)  all_54_2 = all_52_8
% 186.25/30.68    (3)   ~ (all_52_8 = e1)
% 186.25/30.68    (4)   ~ (all_52_8 = e0)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | BETA: splitting (1) gives:
% 186.25/30.68  | 
% 186.25/30.68  | Case 1:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (5)  all_54_2 = e1
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #1479.
% 186.25/30.68  | | 
% 186.25/30.68  | Case 2:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (6)  all_54_2 = e0
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #1325.
% 186.25/30.68  | | 
% 186.25/30.68  | End of split
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1325 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  all_54_2 = all_52_8
% 186.25/30.68    (2)  all_54_2 = e0
% 186.25/30.68    (3)   ~ (all_52_8 = e0)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.68  |   (4)  all_52_8 = e0
% 186.25/30.68  | 
% 186.25/30.68  | SIMP: (4) implies:
% 186.25/30.68  |   (5)  all_52_8 = e0
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (3), (5) imply:
% 186.25/30.68  |   (6)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (6) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1326 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  all_56_10 = e3
% 186.25/30.68    (2)  op(e2, e1) = all_52_9
% 186.25/30.68    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.68    (4)  (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 186.25/30.68    (5)  op(e2, e1) = all_57_20
% 186.25/30.68    (6)   ~ (all_52_9 = e2)
% 186.25/30.68    (7)   ~ (e3 = e2)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | BETA: splitting (4) gives:
% 186.25/30.68  | 
% 186.25/30.68  | Case 1:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (8)  all_56_5 = e2 & op(e2, e1) = e2
% 186.25/30.68  | | 
% 186.25/30.68  | | ALPHA: (8) implies:
% 186.25/30.68  | |   (9)  op(e2, e1) = e2
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (2), (3), (5), (6), (9) are inconsistent by sub-proof #1327.
% 186.25/30.68  | | 
% 186.25/30.68  | Case 2:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (10)  all_56_10 = e2 & op(e2, e0) = e2
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (1), (7), (10) are inconsistent by sub-proof #1502.
% 186.25/30.68  | | 
% 186.25/30.68  | End of split
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1327 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  op(e2, e1) = e2
% 186.25/30.68    (2)  op(e2, e1) = all_52_9
% 186.25/30.68    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.68    (4)  op(e2, e1) = all_57_20
% 186.25/30.68    (5)   ~ (all_52_9 = e2)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | GROUND_INST: instantiating (3) with all_52_9, all_57_20, e1, e2, simplifying
% 186.25/30.68  |              with (2), (4) gives:
% 186.25/30.68  |   (6)  all_57_20 = all_52_9
% 186.25/30.68  | 
% 186.25/30.68  | GROUND_INST: instantiating (3) with e2, all_57_20, e1, e2, simplifying with
% 186.25/30.68  |              (1), (4) gives:
% 186.25/30.68  |   (7)  all_57_20 = e2
% 186.25/30.68  | 
% 186.25/30.68  | COMBINE_EQS: (6), (7) imply:
% 186.25/30.68  |   (8)  all_52_9 = e2
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (5), (8) imply:
% 186.25/30.68  |   (9)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (9) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1328 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  all_56_10 = e3
% 186.25/30.68    (2)   ~ (all_52_14 = e0)
% 186.25/30.68    (3)  all_56_2 = e2
% 186.25/30.68    (4)   ~ (e3 = e0)
% 186.25/30.68    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.68    (6)  all_56_5 = e0
% 186.25/30.68    (7)  all_54_11 = all_52_14
% 186.25/30.68    (8)  op(e2, e2) = e1
% 186.25/30.68    (9)   ~ (e3 = e2)
% 186.25/30.68    (10)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 186.25/30.68          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 186.25/30.68    (11)  all_54_11 = e1 | all_54_11 = e0
% 186.25/30.68    (12)   ~ (all_52_14 = e3)
% 186.25/30.68    (13)  op(e2, e0) = e3
% 186.25/30.68    (14)  op(e2, e0) = e2
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | BETA: splitting (11) gives:
% 186.25/30.68  | 
% 186.25/30.68  | Case 1:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (15)  all_54_11 = e1
% 186.25/30.68  | | 
% 186.25/30.68  | | COMBINE_EQS: (7), (15) imply:
% 186.25/30.68  | |   (16)  all_52_14 = e1
% 186.25/30.68  | | 
% 186.25/30.68  | | SIMP: (16) implies:
% 186.25/30.68  | |   (17)  all_52_14 = e1
% 186.25/30.68  | | 
% 186.25/30.68  | | REDUCE: (12), (17) imply:
% 186.25/30.68  | |   (18)   ~ (e3 = e1)
% 186.25/30.68  | | 
% 186.25/30.68  | | SIMP: (18) implies:
% 186.25/30.68  | |   (19)   ~ (e3 = e1)
% 186.25/30.68  | | 
% 186.25/30.68  | | GROUND_INST: instantiating (5) with e2, e3, e0, e2, simplifying with (13),
% 186.25/30.68  | |              (14) gives:
% 186.25/30.68  | |   (20)  e3 = e2
% 186.25/30.68  | | 
% 186.25/30.68  | | COMBINE_EQS: (1), (20) imply:
% 186.25/30.68  | |   (21)  all_56_10 = e2
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (3), (4), (5), (6), (8), (9), (10), (19), (21) are inconsistent
% 186.25/30.68  | |            by sub-proof #1330.
% 186.25/30.68  | | 
% 186.25/30.68  | Case 2:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (22)  all_54_11 = e0
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (2), (7), (22) are inconsistent by sub-proof #1329.
% 186.25/30.68  | | 
% 186.25/30.68  | End of split
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1329 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  all_54_11 = all_52_14
% 186.25/30.68    (2)  all_54_11 = e0
% 186.25/30.68    (3)   ~ (all_52_14 = e0)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.68  |   (4)  all_52_14 = e0
% 186.25/30.68  | 
% 186.25/30.68  | SIMP: (4) implies:
% 186.25/30.68  |   (5)  all_52_14 = e0
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (3), (5) imply:
% 186.25/30.68  |   (6)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (6) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1330 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  all_56_10 = e2
% 186.25/30.68    (2)  all_56_2 = e2
% 186.25/30.68    (3)   ~ (e3 = e0)
% 186.25/30.68    (4)   ~ (e3 = e1)
% 186.25/30.68    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.68    (6)  all_56_5 = e0
% 186.25/30.68    (7)  op(e2, e2) = e1
% 186.25/30.68    (8)   ~ (e3 = e2)
% 186.25/30.68    (9)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 186.25/30.68         (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | BETA: splitting (9) gives:
% 186.25/30.68  | 
% 186.25/30.68  | Case 1:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (10)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 186.25/30.68  | |           e3)
% 186.25/30.68  | | 
% 186.25/30.68  | | BETA: splitting (10) gives:
% 186.25/30.68  | | 
% 186.25/30.68  | | Case 1:
% 186.25/30.68  | | | 
% 186.25/30.68  | | |   (11)  all_56_2 = e3 & op(e2, e3) = e3
% 186.25/30.68  | | | 
% 186.25/30.68  | | | REF_CLOSE: (2), (8), (11) are inconsistent by sub-proof #1333.
% 186.25/30.68  | | | 
% 186.25/30.68  | | Case 2:
% 186.25/30.68  | | | 
% 186.25/30.68  | | |   (12)  all_56_3 = e3 & op(e2, e2) = e3
% 186.25/30.68  | | | 
% 186.25/30.68  | | | ALPHA: (12) implies:
% 186.25/30.68  | | |   (13)  op(e2, e2) = e3
% 186.25/30.68  | | | 
% 186.25/30.68  | | | REF_CLOSE: (4), (5), (7), (13) are inconsistent by sub-proof #1347.
% 186.25/30.68  | | | 
% 186.25/30.68  | | End of split
% 186.25/30.68  | | 
% 186.25/30.68  | Case 2:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (14)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 186.25/30.68  | |           e3)
% 186.25/30.68  | | 
% 186.25/30.68  | | BETA: splitting (14) gives:
% 186.25/30.68  | | 
% 186.25/30.68  | | Case 1:
% 186.25/30.68  | | | 
% 186.25/30.68  | | |   (15)  all_56_5 = e3 & op(e2, e1) = e3
% 186.25/30.68  | | | 
% 186.25/30.68  | | | REF_CLOSE: (3), (6), (15) are inconsistent by sub-proof #1332.
% 186.25/30.68  | | | 
% 186.25/30.68  | | Case 2:
% 186.25/30.68  | | | 
% 186.25/30.68  | | |   (16)  all_56_10 = e3 & op(e2, e0) = e3
% 186.25/30.68  | | | 
% 186.25/30.68  | | | REF_CLOSE: (1), (8), (16) are inconsistent by sub-proof #1331.
% 186.25/30.68  | | | 
% 186.25/30.68  | | End of split
% 186.25/30.68  | | 
% 186.25/30.68  | End of split
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1331 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  all_56_10 = e3 & op(e2, e0) = e3
% 186.25/30.68    (2)  all_56_10 = e2
% 186.25/30.68    (3)   ~ (e3 = e2)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | ALPHA: (1) implies:
% 186.25/30.68  |   (4)  all_56_10 = e3
% 186.25/30.68  | 
% 186.25/30.68  | COMBINE_EQS: (2), (4) imply:
% 186.25/30.68  |   (5)  e3 = e2
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (3), (5) imply:
% 186.25/30.68  |   (6)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (6) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1332 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  all_56_5 = e3 & op(e2, e1) = e3
% 186.25/30.68    (2)  all_56_5 = e0
% 186.25/30.68    (3)   ~ (e3 = e0)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | ALPHA: (1) implies:
% 186.25/30.68  |   (4)  all_56_5 = e3
% 186.25/30.68  | 
% 186.25/30.68  | COMBINE_EQS: (2), (4) imply:
% 186.25/30.68  |   (5)  e3 = e0
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (3), (5) imply:
% 186.25/30.68  |   (6)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (6) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1333 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  all_56_2 = e3 & op(e2, e3) = e3
% 186.25/30.68    (2)  all_56_2 = e2
% 186.25/30.68    (3)   ~ (e3 = e2)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | ALPHA: (1) implies:
% 186.25/30.68  |   (4)  all_56_2 = e3
% 186.25/30.68  | 
% 186.25/30.68  | COMBINE_EQS: (2), (4) imply:
% 186.25/30.68  |   (5)  e3 = e2
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (3), (5) imply:
% 186.25/30.68  |   (6)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (6) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1334 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.68    (2)  op(e2, e2) = all_57_29
% 186.25/30.68    (3)  op(e2, e2) = e0
% 186.25/30.68    (4)   ~ (all_57_29 = e0)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | GROUND_INST: instantiating (1) with e0, all_57_29, e2, e2, simplifying with
% 186.25/30.68  |              (2), (3) gives:
% 186.25/30.68  |   (5)  all_57_29 = e0
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (4), (5) imply:
% 186.25/30.68  |   (6)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (6) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1335 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  all_54_2 = all_52_8
% 186.25/30.68    (2)  all_54_2 = e3
% 186.25/30.68    (3)   ~ (all_52_8 = e3)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.68  |   (4)  all_52_8 = e3
% 186.25/30.68  | 
% 186.25/30.68  | SIMP: (4) implies:
% 186.25/30.68  |   (5)  all_52_8 = e3
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (3), (5) imply:
% 186.25/30.68  |   (6)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (6) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1336 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  all_54_11 = all_52_14
% 186.25/30.68    (2)  all_54_11 = e3
% 186.25/30.68    (3)   ~ (all_52_14 = e3)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.68  |   (4)  all_52_14 = e3
% 186.25/30.68  | 
% 186.25/30.68  | SIMP: (4) implies:
% 186.25/30.68  |   (5)  all_52_14 = e3
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (3), (5) imply:
% 186.25/30.68  |   (6)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (6) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1337 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  all_54_1 = all_52_4
% 186.25/30.68    (2)  all_54_1 = e1
% 186.25/30.68    (3)   ~ (all_52_4 = e1)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.68  |   (4)  all_52_4 = e1
% 186.25/30.68  | 
% 186.25/30.68  | SIMP: (4) implies:
% 186.25/30.68  |   (5)  all_52_4 = e1
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (3), (5) imply:
% 186.25/30.68  |   (6)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (6) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1338 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  all_54_1 = all_52_4
% 186.25/30.68    (2)  all_54_1 = e2
% 186.25/30.68    (3)   ~ (all_52_4 = e2)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.68  |   (4)  all_52_4 = e2
% 186.25/30.68  | 
% 186.25/30.68  | SIMP: (4) implies:
% 186.25/30.68  |   (5)  all_52_4 = e2
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (3), (5) imply:
% 186.25/30.68  |   (6)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (6) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1339 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  op(e0, e3) = e1
% 186.25/30.68    (2)   ~ (e2 = e0)
% 186.25/30.68    (3)   ~ (e3 = e1)
% 186.25/30.68    (4)   ~ (all_52_4 = all_52_7)
% 186.25/30.68    (5)  all_56_15 = e0
% 186.25/30.68    (6)  op(e0, e3) = all_52_3
% 186.25/30.68    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.68    (8)   ~ (e3 = e2)
% 186.25/30.68    (9)  all_56_12 = e1
% 186.25/30.68    (10)  all_56_14 = e3
% 186.25/30.68    (11)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 186.25/30.68              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 186.25/30.68            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 186.25/30.68              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 186.25/30.68            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 186.25/30.68            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 186.25/30.68            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 186.25/30.68            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 186.25/30.68            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.25/30.68              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 186.25/30.68              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 186.25/30.68            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 186.25/30.68            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 186.25/30.68            $i(all_57_29))
% 186.25/30.68    (12)  op(e3, e2) = all_52_4
% 186.25/30.68    (13)   ~ (e2 = e1)
% 186.25/30.68    (14)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.25/30.68          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.25/30.68            e2)
% 186.25/30.68    (15)  op(e0, e2) = all_52_7
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | BETA: splitting (11) gives:
% 186.25/30.68  | 
% 186.25/30.68  | Case 1:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (16)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~
% 186.25/30.68  | |         (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~
% 186.25/30.68  | |         (all_57_28 = e0) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.25/30.68  | |         = all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 &
% 186.25/30.68  | |         op(e3, e2) = all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.25/30.68  | |         op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) &
% 186.25/30.68  | |         $i(all_57_16) & $i(all_57_17) & $i(all_57_28)
% 186.25/30.68  | | 
% 186.25/30.68  | | ALPHA: (16) implies:
% 186.25/30.68  | |   (17)  op(e0, e3) = e3
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (1), (3), (6), (7), (17) are inconsistent by sub-proof #1529.
% 186.25/30.68  | | 
% 186.25/30.68  | Case 2:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (18)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19 = e2 &  ~
% 186.25/30.68  | |         (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0) &  ~
% 186.25/30.68  | |         (all_57_29 = e3) & op(e3, e2) = e2 & op(e2, all_57_20) = all_57_6 &
% 186.25/30.68  | |         op(e2, all_57_21) = all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.25/30.68  | |           e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 186.25/30.68  | |         op(e2, e0) = all_57_21 & $i(all_57_5) & $i(all_57_6) & $i(all_57_7)
% 186.25/30.68  | |         & $i(all_57_20) & $i(all_57_21) & $i(all_57_29)
% 186.25/30.68  | | 
% 186.25/30.68  | | ALPHA: (18) implies:
% 186.25/30.68  | |   (19)  op(e3, e2) = e2
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (2), (4), (5), (7), (8), (9), (10), (12), (13), (14), (15), (19)
% 186.25/30.68  | |            are inconsistent by sub-proof #1340.
% 186.25/30.68  | | 
% 186.25/30.68  | End of split
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1340 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)   ~ (e2 = e0)
% 186.25/30.68    (2)   ~ (all_52_4 = all_52_7)
% 186.25/30.68    (3)  all_56_15 = e0
% 186.25/30.68    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.68    (5)   ~ (e3 = e2)
% 186.25/30.68    (6)  all_56_12 = e1
% 186.25/30.68    (7)  all_56_14 = e3
% 186.25/30.68    (8)  op(e3, e2) = all_52_4
% 186.25/30.68    (9)   ~ (e2 = e1)
% 186.25/30.68    (10)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.25/30.68          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.25/30.68            e2)
% 186.25/30.68    (11)  op(e3, e2) = e2
% 186.25/30.68    (12)  op(e0, e2) = all_52_7
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | BETA: splitting (10) gives:
% 186.25/30.68  | 
% 186.25/30.68  | Case 1:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (13)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 186.25/30.68  | |           e2)
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (2), (4), (6), (8), (9), (11), (12), (13) are inconsistent by
% 186.25/30.68  | |            sub-proof #1341.
% 186.25/30.68  | | 
% 186.25/30.68  | Case 2:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (14)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.25/30.68  | |           e2)
% 186.25/30.68  | | 
% 186.25/30.68  | | BETA: splitting (14) gives:
% 186.25/30.68  | | 
% 186.25/30.68  | | Case 1:
% 186.25/30.68  | | | 
% 186.25/30.68  | | |   (15)  all_56_14 = e2 & op(e0, e1) = e2
% 186.25/30.68  | | | 
% 186.25/30.68  | | | ALPHA: (15) implies:
% 186.25/30.68  | | |   (16)  all_56_14 = e2
% 186.25/30.68  | | | 
% 186.25/30.68  | | | REF_CLOSE: (5), (7), (16) are inconsistent by sub-proof #1512.
% 186.25/30.68  | | | 
% 186.25/30.68  | | Case 2:
% 186.25/30.68  | | | 
% 186.25/30.68  | | |   (17)  all_56_15 = e2 & op(e0, e0) = e2
% 186.25/30.68  | | | 
% 186.25/30.68  | | | ALPHA: (17) implies:
% 186.25/30.68  | | |   (18)  all_56_15 = e2
% 186.25/30.68  | | | 
% 186.25/30.68  | | | COMBINE_EQS: (3), (18) imply:
% 186.25/30.68  | | |   (19)  e2 = e0
% 186.25/30.68  | | | 
% 186.25/30.68  | | | REDUCE: (1), (19) imply:
% 186.25/30.68  | | |   (20)  $false
% 186.25/30.68  | | | 
% 186.25/30.68  | | | CLOSE: (20) is inconsistent.
% 186.25/30.68  | | | 
% 186.25/30.68  | | End of split
% 186.25/30.68  | | 
% 186.25/30.68  | End of split
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1341 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.25/30.68    (2)   ~ (all_52_4 = all_52_7)
% 186.25/30.68    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.68    (4)  all_56_12 = e1
% 186.25/30.68    (5)  op(e3, e2) = all_52_4
% 186.25/30.68    (6)   ~ (e2 = e1)
% 186.25/30.68    (7)  op(e3, e2) = e2
% 186.25/30.68    (8)  op(e0, e2) = all_52_7
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | BETA: splitting (1) gives:
% 186.25/30.68  | 
% 186.25/30.68  | Case 1:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (9)  all_56_12 = e2 & op(e0, e3) = e2
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (4), (6), (9) are inconsistent by sub-proof #1591.
% 186.25/30.68  | | 
% 186.25/30.68  | Case 2:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (10)  all_56_13 = e2 & op(e0, e2) = e2
% 186.25/30.68  | | 
% 186.25/30.68  | | ALPHA: (10) implies:
% 186.25/30.68  | |   (11)  op(e0, e2) = e2
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (2), (3), (5), (7), (8), (11) are inconsistent by sub-proof
% 186.25/30.68  | |            #1342.
% 186.25/30.68  | | 
% 186.25/30.68  | End of split
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1342 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  op(e0, e2) = e2
% 186.25/30.68    (2)   ~ (all_52_4 = all_52_7)
% 186.25/30.68    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.68    (4)  op(e3, e2) = all_52_4
% 186.25/30.68    (5)  op(e3, e2) = e2
% 186.25/30.68    (6)  op(e0, e2) = all_52_7
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | GROUND_INST: instantiating (3) with all_52_7, e2, e2, e0, simplifying with
% 186.25/30.68  |              (1), (6) gives:
% 186.25/30.68  |   (7)  all_52_7 = e2
% 186.25/30.68  | 
% 186.25/30.68  | GROUND_INST: instantiating (3) with all_52_4, e2, e2, e3, simplifying with
% 186.25/30.68  |              (4), (5) gives:
% 186.25/30.68  |   (8)  all_52_4 = e2
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (2), (7), (8) imply:
% 186.25/30.68  |   (9)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (9) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1343 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)   ~ (all_52_8 = e3)
% 186.25/30.68    (2)   ~ (all_52_4 = e3)
% 186.25/30.68    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.68    (4)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 186.25/30.68             e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.25/30.68           op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.25/30.68             all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.25/30.68           op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 186.25/30.68           $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 186.25/30.68           $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 = e3
% 186.25/30.68           & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 186.25/30.68           (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 186.25/30.68           op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.25/30.68             e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 186.25/30.68             e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.25/30.68           $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 186.25/30.68    (5)  op(e3, e1) = all_52_8
% 186.25/30.68    (6)  op(e3, e2) = all_52_4
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | BETA: splitting (4) gives:
% 186.25/30.68  | 
% 186.25/30.68  | Case 1:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (7)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0
% 186.25/30.68  | |          = e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 =
% 186.25/30.68  | |          e2) & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 &
% 186.25/30.68  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 186.25/30.68  | |        e3 & op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 186.25/30.68  | |        e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 186.25/30.68  | |        $i(all_57_18) & $i(all_57_28)
% 186.25/30.68  | | 
% 186.25/30.68  | | ALPHA: (7) implies:
% 186.25/30.68  | |   (8)  op(e3, e2) = e3
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (2), (3), (6), (8) are inconsistent by sub-proof #1603.
% 186.25/30.68  | | 
% 186.25/30.68  | Case 2:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (9)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0
% 186.25/30.68  | |          = e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0) &  ~ (all_57_28 =
% 186.25/30.68  | |          e1) & op(e3, all_57_16) = all_57_1 & op(e3, all_57_18) = all_57_3 &
% 186.25/30.68  | |        op(e3, all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 186.25/30.68  | |        all_57_16 & op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1, e3) =
% 186.25/30.68  | |        e3 & $i(all_57_0) & $i(all_57_1) & $i(all_57_3) & $i(all_57_16) &
% 186.25/30.68  | |        $i(all_57_18) & $i(all_57_28)
% 186.25/30.68  | | 
% 186.25/30.68  | | ALPHA: (9) implies:
% 186.25/30.68  | |   (10)  op(e3, e1) = e3
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #1346.
% 186.25/30.68  | | 
% 186.25/30.68  | End of split
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1344 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  all_54_1 = all_52_4
% 186.25/30.68    (2)  all_54_1 = e3
% 186.25/30.68    (3)   ~ (all_52_4 = e3)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.68  |   (4)  all_52_4 = e3
% 186.25/30.68  | 
% 186.25/30.68  | SIMP: (4) implies:
% 186.25/30.68  |   (5)  all_52_4 = e3
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (3), (5) imply:
% 186.25/30.68  |   (6)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (6) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1345 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)   ~ (all_52_8 = e3)
% 186.25/30.68    (2)  op(e2, e1) = all_52_9
% 186.25/30.68    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.68    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 186.25/30.68    (5)  op(e3, e1) = all_52_8
% 186.25/30.68    (6)   ~ (all_52_9 = e3)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | BETA: splitting (4) gives:
% 186.25/30.68  | 
% 186.25/30.68  | Case 1:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (7)  all_56_4 = e3 & op(e3, e1) = e3
% 186.25/30.68  | | 
% 186.25/30.68  | | ALPHA: (7) implies:
% 186.25/30.68  | |   (8)  op(e3, e1) = e3
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1346.
% 186.25/30.68  | | 
% 186.25/30.68  | Case 2:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (9)  all_56_5 = e3 & op(e2, e1) = e3
% 186.25/30.68  | | 
% 186.25/30.68  | | ALPHA: (9) implies:
% 186.25/30.68  | |   (10)  op(e2, e1) = e3
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1449.
% 186.25/30.68  | | 
% 186.25/30.68  | End of split
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1346 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.68    (2)  op(e3, e1) = all_52_8
% 186.25/30.68    (3)  op(e3, e1) = e3
% 186.25/30.68    (4)   ~ (all_52_8 = e3)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | GROUND_INST: instantiating (1) with all_52_8, e3, e1, e3, simplifying with
% 186.25/30.68  |              (2), (3) gives:
% 186.25/30.68  |   (5)  all_52_8 = e3
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (4), (5) imply:
% 186.25/30.68  |   (6)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (6) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1347 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.68    (2)  op(e2, e2) = e3
% 186.25/30.68    (3)  op(e2, e2) = e1
% 186.25/30.68    (4)   ~ (e3 = e1)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | GROUND_INST: instantiating (1) with e1, e3, e2, e2, simplifying with (2), (3)
% 186.25/30.68  |              gives:
% 186.25/30.68  |   (5)  e3 = e1
% 186.25/30.68  | 
% 186.25/30.68  | REDUCE: (4), (5) imply:
% 186.25/30.68  |   (6)  $false
% 186.25/30.68  | 
% 186.25/30.68  | CLOSE: (6) is inconsistent.
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1348 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 186.25/30.68    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.68    (3)  op(e2, e2) = e1
% 186.25/30.68    (4)   ~ (e3 = e2)
% 186.25/30.68    (5)  op(e3, e3) = e3
% 186.25/30.68    (6)   ~ (e2 = e1)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | BETA: splitting (1) gives:
% 186.25/30.68  | 
% 186.25/30.68  | Case 1:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (7)  all_57_28 = e2 & op(e3, e3) = e2
% 186.25/30.68  | | 
% 186.25/30.68  | | ALPHA: (7) implies:
% 186.25/30.68  | |   (8)  op(e3, e3) = e2
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1594.
% 186.25/30.68  | | 
% 186.25/30.68  | Case 2:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (9)  all_57_29 = e2 & op(e2, e2) = e2
% 186.25/30.68  | | 
% 186.25/30.68  | | ALPHA: (9) implies:
% 186.25/30.68  | |   (10)  op(e2, e2) = e2
% 186.25/30.68  | | 
% 186.25/30.68  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1487.
% 186.25/30.68  | | 
% 186.25/30.68  | End of split
% 186.25/30.68  | 
% 186.25/30.68  End of proof
% 186.25/30.68  
% 186.25/30.68  Sub-proof #1349 shows that the following formulas are inconsistent:
% 186.25/30.68  ----------------------------------------------------------------
% 186.25/30.68    (1)   ~ (all_4_2 = e0)
% 186.25/30.68    (2)   ~ (all_4_2 = e2)
% 186.25/30.68    (3)  all_54_0 = all_4_2
% 186.25/30.68    (4)  (all_57_28 = e2 & op(e3, e3) = e2) | (all_57_29 = e2 & op(e2, e2) = e2)
% 186.25/30.68    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.25/30.68    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.68           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.68    (7)  op(e2, e2) = e1
% 186.25/30.68    (8)  op(e3, e3) = all_4_2
% 186.25/30.68    (9)   ~ (e2 = e1)
% 186.25/30.68    (10)   ~ (all_4_2 = e1)
% 186.25/30.68  
% 186.25/30.68  Begin of proof
% 186.25/30.68  | 
% 186.25/30.68  | BETA: splitting (4) gives:
% 186.25/30.68  | 
% 186.25/30.68  | Case 1:
% 186.25/30.68  | | 
% 186.25/30.68  | |   (11)  all_57_28 = e2 & op(e3, e3) = e2
% 186.25/30.68  | | 
% 186.25/30.68  | | ALPHA: (11) implies:
% 186.25/30.68  | |   (12)  op(e3, e3) = e2
% 186.25/30.68  | | 
% 186.25/30.69  | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (10), (12) are inconsistent by
% 186.25/30.69  | |            sub-proof #1350.
% 186.25/30.69  | | 
% 186.25/30.69  | Case 2:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (13)  all_57_29 = e2 & op(e2, e2) = e2
% 186.25/30.69  | | 
% 186.25/30.69  | | ALPHA: (13) implies:
% 186.25/30.69  | |   (14)  op(e2, e2) = e2
% 186.25/30.69  | | 
% 186.25/30.69  | | REF_CLOSE: (6), (7), (9), (14) are inconsistent by sub-proof #1487.
% 186.25/30.69  | | 
% 186.25/30.69  | End of split
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1350 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)   ~ (all_4_2 = e0)
% 186.25/30.69    (2)   ~ (all_4_2 = e2)
% 186.25/30.69    (3)  all_54_0 = all_4_2
% 186.25/30.69    (4)  op(e3, e3) = e2
% 186.25/30.69    (5)  all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.25/30.69    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.69    (7)  op(e3, e3) = all_4_2
% 186.25/30.69    (8)   ~ (all_4_2 = e1)
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | BETA: splitting (5) gives:
% 186.25/30.69  | 
% 186.25/30.69  | Case 1:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (9)  all_54_0 = e3
% 186.25/30.69  | | 
% 186.25/30.69  | | COMBINE_EQS: (3), (9) imply:
% 186.25/30.69  | |   (10)  all_4_2 = e3
% 186.25/30.69  | | 
% 186.25/30.69  | | SIMP: (10) implies:
% 186.25/30.69  | |   (11)  all_4_2 = e3
% 186.25/30.69  | | 
% 186.25/30.69  | | REDUCE: (2), (11) imply:
% 186.25/30.69  | |   (12)   ~ (e3 = e2)
% 186.25/30.69  | | 
% 186.25/30.69  | | REDUCE: (7), (11) imply:
% 186.25/30.69  | |   (13)  op(e3, e3) = e3
% 186.25/30.69  | | 
% 186.25/30.69  | | REF_CLOSE: (4), (6), (12), (13) are inconsistent by sub-proof #1594.
% 186.25/30.69  | | 
% 186.25/30.69  | Case 2:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (14)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.25/30.69  | | 
% 186.25/30.69  | | REF_CLOSE: (1), (2), (3), (8), (14) are inconsistent by sub-proof #1354.
% 186.25/30.69  | | 
% 186.25/30.69  | End of split
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1351 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  op(e2, e3) = all_52_1
% 186.25/30.69    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.69    (3)   ~ (all_52_1 = e1)
% 186.25/30.69    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 186.25/30.69    (5)  op(e3, e3) = all_4_2
% 186.25/30.69    (6)   ~ (all_4_2 = e1)
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | BETA: splitting (4) gives:
% 186.25/30.69  | 
% 186.25/30.69  | Case 1:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 186.25/30.69  | | 
% 186.25/30.69  | | ALPHA: (7) implies:
% 186.25/30.69  | |   (8)  op(e3, e3) = e1
% 186.25/30.69  | | 
% 186.25/30.69  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1525.
% 186.25/30.69  | | 
% 186.25/30.69  | Case 2:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (9)  all_56_2 = e1 & op(e2, e3) = e1
% 186.25/30.69  | | 
% 186.25/30.69  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #1352.
% 186.25/30.69  | | 
% 186.25/30.69  | End of split
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1352 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  all_56_2 = e1 & op(e2, e3) = e1
% 186.25/30.69    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.69    (3)  op(e2, e3) = all_52_1
% 186.25/30.69    (4)   ~ (all_52_1 = e1)
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | ALPHA: (1) implies:
% 186.25/30.69  |   (5)  op(e2, e3) = e1
% 186.25/30.69  | 
% 186.25/30.69  | GROUND_INST: instantiating (2) with all_52_1, e1, e3, e2, simplifying with
% 186.25/30.69  |              (3), (5) gives:
% 186.25/30.69  |   (6)  all_52_1 = e1
% 186.25/30.69  | 
% 186.25/30.69  | REDUCE: (4), (6) imply:
% 186.25/30.69  |   (7)  $false
% 186.25/30.69  | 
% 186.25/30.69  | CLOSE: (7) is inconsistent.
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1353 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  all_54_5 = e1 | all_54_5 = e0
% 186.25/30.69    (2)  all_54_5 = all_10_2
% 186.25/30.69    (3)   ~ (all_10_2 = e1)
% 186.25/30.69    (4)   ~ (all_10_2 = e0)
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | BETA: splitting (1) gives:
% 186.25/30.69  | 
% 186.25/30.69  | Case 1:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (5)  all_54_5 = e1
% 186.25/30.69  | | 
% 186.25/30.69  | | COMBINE_EQS: (2), (5) imply:
% 186.25/30.69  | |   (6)  all_10_2 = e1
% 186.25/30.69  | | 
% 186.25/30.69  | | REDUCE: (3), (6) imply:
% 186.25/30.69  | |   (7)  $false
% 186.25/30.69  | | 
% 186.25/30.69  | | CLOSE: (7) is inconsistent.
% 186.25/30.69  | | 
% 186.25/30.69  | Case 2:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (8)  all_54_5 = e0
% 186.25/30.69  | | 
% 186.25/30.69  | | COMBINE_EQS: (2), (8) imply:
% 186.25/30.69  | |   (9)  all_10_2 = e0
% 186.25/30.69  | | 
% 186.25/30.69  | | REDUCE: (4), (9) imply:
% 186.25/30.69  | |   (10)  $false
% 186.25/30.69  | | 
% 186.25/30.69  | | CLOSE: (10) is inconsistent.
% 186.25/30.69  | | 
% 186.25/30.69  | End of split
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1354 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 186.25/30.69    (2)   ~ (all_4_2 = e0)
% 186.25/30.69    (3)   ~ (all_4_2 = e2)
% 186.25/30.69    (4)  all_54_0 = all_4_2
% 186.25/30.69    (5)   ~ (all_4_2 = e1)
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | BETA: splitting (1) gives:
% 186.25/30.69  | 
% 186.25/30.69  | Case 1:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (6)  all_54_0 = e2
% 186.25/30.69  | | 
% 186.25/30.69  | | COMBINE_EQS: (4), (6) imply:
% 186.25/30.69  | |   (7)  all_4_2 = e2
% 186.25/30.69  | | 
% 186.25/30.69  | | REDUCE: (3), (7) imply:
% 186.25/30.69  | |   (8)  $false
% 186.25/30.69  | | 
% 186.25/30.69  | | CLOSE: (8) is inconsistent.
% 186.25/30.69  | | 
% 186.25/30.69  | Case 2:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (9)  all_54_0 = e1 | all_54_0 = e0
% 186.25/30.69  | | 
% 186.25/30.69  | | REF_CLOSE: (2), (4), (5), (9) are inconsistent by sub-proof #1355.
% 186.25/30.69  | | 
% 186.25/30.69  | End of split
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1355 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  all_54_0 = e1 | all_54_0 = e0
% 186.25/30.69    (2)  all_54_0 = all_4_2
% 186.25/30.69    (3)   ~ (all_4_2 = e1)
% 186.25/30.69    (4)   ~ (all_4_2 = e0)
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | BETA: splitting (1) gives:
% 186.25/30.69  | 
% 186.25/30.69  | Case 1:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (5)  all_54_0 = e1
% 186.25/30.69  | | 
% 186.25/30.69  | | COMBINE_EQS: (2), (5) imply:
% 186.25/30.69  | |   (6)  all_4_2 = e1
% 186.25/30.69  | | 
% 186.25/30.69  | | REDUCE: (3), (6) imply:
% 186.25/30.69  | |   (7)  $false
% 186.25/30.69  | | 
% 186.25/30.69  | | CLOSE: (7) is inconsistent.
% 186.25/30.69  | | 
% 186.25/30.69  | Case 2:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (8)  all_54_0 = e0
% 186.25/30.69  | | 
% 186.25/30.69  | | COMBINE_EQS: (2), (8) imply:
% 186.25/30.69  | |   (9)  all_4_2 = e0
% 186.25/30.69  | | 
% 186.25/30.69  | | REDUCE: (4), (9) imply:
% 186.25/30.69  | |   (10)  $false
% 186.25/30.69  | | 
% 186.25/30.69  | | CLOSE: (10) is inconsistent.
% 186.25/30.69  | | 
% 186.25/30.69  | End of split
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1356 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  op(e0, e0) = all_6_2
% 186.25/30.69    (2)   ~ (all_52_11 = e1)
% 186.25/30.69    (3)   ~ (all_6_2 = e1)
% 186.25/30.69    (4)   ~ (e1 = e0)
% 186.25/30.69    (5)  all_56_13 = e3
% 186.25/30.69    (6)   ~ (e3 = e0)
% 186.25/30.69    (7)  op(e0, e1) = all_52_11
% 186.25/30.69    (8)   ~ (e2 = e0)
% 186.25/30.69    (9)   ~ (e3 = e1)
% 186.25/30.69    (10)   ~ (all_6_2 = e2)
% 186.25/30.69    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.69            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.69    (12)  op(e0, e0) = e3
% 186.25/30.69    (13)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.25/30.69          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.25/30.69            e1)
% 186.25/30.69    (14)   ~ (all_52_7 = e2)
% 186.25/30.69    (15)   ~ (e2 = e1)
% 186.25/30.69    (16)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.25/30.69          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.25/30.69            e2)
% 186.25/30.69    (17)  op(e0, e2) = all_52_7
% 186.25/30.69    (18)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.25/30.69              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.25/30.69                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.25/30.69                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | BETA: splitting (13) gives:
% 186.25/30.69  | 
% 186.25/30.69  | Case 1:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (19)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 186.25/30.69  | |           e1)
% 186.25/30.69  | | 
% 186.25/30.69  | | BETA: splitting (19) gives:
% 186.25/30.69  | | 
% 186.25/30.69  | | Case 1:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (20)  all_56_12 = e1 & op(e0, e3) = e1
% 186.25/30.69  | | | 
% 186.25/30.69  | | | ALPHA: (20) implies:
% 186.25/30.69  | | |   (21)  all_56_12 = e1
% 186.25/30.69  | | |   (22)  op(e0, e3) = e1
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (1), (4), (5), (6), (8), (10), (11), (12), (14), (15), (16),
% 186.25/30.69  | | |            (17), (18), (21), (22) are inconsistent by sub-proof #1358.
% 186.25/30.69  | | | 
% 186.25/30.69  | | Case 2:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (23)  all_56_13 = e1 & op(e0, e2) = e1
% 186.25/30.69  | | | 
% 186.25/30.69  | | | ALPHA: (23) implies:
% 186.25/30.69  | | |   (24)  all_56_13 = e1
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (5), (9), (24) are inconsistent by sub-proof #1357.
% 186.25/30.69  | | | 
% 186.25/30.69  | | End of split
% 186.25/30.69  | | 
% 186.25/30.69  | Case 2:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (25)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.25/30.69  | |           e1)
% 186.25/30.69  | | 
% 186.25/30.69  | | REF_CLOSE: (1), (2), (3), (7), (11), (25) are inconsistent by sub-proof
% 186.25/30.69  | |            #1515.
% 186.25/30.69  | | 
% 186.25/30.69  | End of split
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1357 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  all_56_13 = e3
% 186.25/30.69    (2)  all_56_13 = e1
% 186.25/30.69    (3)   ~ (e3 = e1)
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.69  |   (4)  e3 = e1
% 186.25/30.69  | 
% 186.25/30.69  | SIMP: (4) implies:
% 186.25/30.69  |   (5)  e3 = e1
% 186.25/30.69  | 
% 186.25/30.69  | REDUCE: (3), (5) imply:
% 186.25/30.69  |   (6)  $false
% 186.25/30.69  | 
% 186.25/30.69  | CLOSE: (6) is inconsistent.
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1358 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  op(e0, e0) = all_6_2
% 186.25/30.69    (2)   ~ (e1 = e0)
% 186.25/30.69    (3)  all_56_13 = e3
% 186.25/30.69    (4)   ~ (e3 = e0)
% 186.25/30.69    (5)  op(e0, e3) = e1
% 186.25/30.69    (6)   ~ (e2 = e0)
% 186.25/30.69    (7)   ~ (all_6_2 = e2)
% 186.25/30.69    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.69    (9)  op(e0, e0) = e3
% 186.25/30.69    (10)  all_56_12 = e1
% 186.25/30.69    (11)   ~ (all_52_7 = e2)
% 186.25/30.69    (12)   ~ (e2 = e1)
% 186.25/30.69    (13)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.25/30.69          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.25/30.69            e2)
% 186.25/30.69    (14)  op(e0, e2) = all_52_7
% 186.25/30.69    (15)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.25/30.69              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.25/30.69                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.25/30.69                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | BETA: splitting (13) gives:
% 186.25/30.69  | 
% 186.25/30.69  | Case 1:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (16)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 186.25/30.69  | |           e2)
% 186.25/30.69  | | 
% 186.25/30.69  | | REF_CLOSE: (8), (10), (11), (12), (14), (16) are inconsistent by sub-proof
% 186.25/30.69  | |            #1397.
% 186.25/30.69  | | 
% 186.25/30.69  | Case 2:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (17)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.25/30.69  | |           e2)
% 186.25/30.69  | | 
% 186.25/30.69  | | BETA: splitting (17) gives:
% 186.25/30.69  | | 
% 186.25/30.69  | | Case 1:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (18)  all_56_14 = e2 & op(e0, e1) = e2
% 186.25/30.69  | | | 
% 186.25/30.69  | | | ALPHA: (18) implies:
% 186.25/30.69  | | |   (19)  all_56_14 = e2
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (15), (19) are inconsistent
% 186.25/30.69  | | |            by sub-proof #1420.
% 186.25/30.69  | | | 
% 186.25/30.69  | | Case 2:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (20)  all_56_15 = e2 & op(e0, e0) = e2
% 186.25/30.69  | | | 
% 186.25/30.69  | | | ALPHA: (20) implies:
% 186.25/30.69  | | |   (21)  op(e0, e0) = e2
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (1), (7), (8), (21) are inconsistent by sub-proof #1511.
% 186.25/30.69  | | | 
% 186.25/30.69  | | End of split
% 186.25/30.69  | | 
% 186.25/30.69  | End of split
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1359 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  op(e0, e0) = all_6_2
% 186.25/30.69    (2)  all_56_10 = e3
% 186.25/30.69    (3)  all_56_9 = e2
% 186.25/30.69    (4)   ~ (all_6_2 = e1)
% 186.25/30.69    (5)  op(e1, e0) = all_52_14
% 186.25/30.69    (6)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 186.25/30.69         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.25/30.69    (7)   ~ (all_52_14 = e1)
% 186.25/30.69    (8)   ~ (e3 = e1)
% 186.25/30.69    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.69    (10)   ~ (e2 = e1)
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | BETA: splitting (6) gives:
% 186.25/30.69  | 
% 186.25/30.69  | Case 1:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (11)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 186.25/30.69  | |           e1)
% 186.25/30.69  | | 
% 186.25/30.69  | | BETA: splitting (11) gives:
% 186.25/30.69  | | 
% 186.25/30.69  | | Case 1:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (12)  all_56_9 = e1 & op(e3, e0) = e1
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (3), (10), (12) are inconsistent by sub-proof #1565.
% 186.25/30.69  | | | 
% 186.25/30.69  | | Case 2:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (13)  all_56_10 = e1 & op(e2, e0) = e1
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (2), (8), (13) are inconsistent by sub-proof #1486.
% 186.25/30.69  | | | 
% 186.25/30.69  | | End of split
% 186.25/30.69  | | 
% 186.25/30.69  | Case 2:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (14)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.25/30.69  | |           e1)
% 186.25/30.69  | | 
% 186.25/30.69  | | REF_CLOSE: (1), (4), (5), (7), (9), (14) are inconsistent by sub-proof
% 186.25/30.69  | |            #1488.
% 186.25/30.69  | | 
% 186.25/30.69  | End of split
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1360 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 186.25/30.69    (2)  all_57_26 = e1
% 186.25/30.69    (3)   ~ (e1 = e0)
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | ALPHA: (1) implies:
% 186.25/30.69  |   (4)  all_57_26 = e0
% 186.25/30.69  | 
% 186.25/30.69  | COMBINE_EQS: (2), (4) imply:
% 186.25/30.69  |   (5)  e1 = e0
% 186.25/30.69  | 
% 186.25/30.69  | REDUCE: (3), (5) imply:
% 186.25/30.69  |   (6)  $false
% 186.25/30.69  | 
% 186.25/30.69  | CLOSE: (6) is inconsistent.
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1361 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  all_56_6 = e0
% 186.25/30.69    (2)  all_56_2 = e1
% 186.25/30.69    (3)  op(e1, e3) = e0
% 186.25/30.69    (4)   ~ (e3 = e0)
% 186.25/30.69    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.25/30.69         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.25/30.69    (6)   ~ (e2 = e0)
% 186.25/30.69    (7)   ~ (e3 = e1)
% 186.25/30.69    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 186.25/30.69         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.25/30.69    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.69    (10)  all_56_12 = e0
% 186.25/30.69    (11)   ~ (e3 = e2)
% 186.25/30.69    (12)   ~ (e2 = e1)
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | BETA: splitting (8) gives:
% 186.25/30.69  | 
% 186.25/30.69  | Case 1:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (13)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 186.25/30.69  | |           e3)
% 186.25/30.69  | | 
% 186.25/30.69  | | BETA: splitting (13) gives:
% 186.25/30.69  | | 
% 186.25/30.69  | | Case 1:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (14)  all_56_0 = e3 & op(e3, e3) = e3
% 186.25/30.69  | | | 
% 186.25/30.69  | | | ALPHA: (14) implies:
% 186.25/30.69  | | |   (15)  op(e3, e3) = e3
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (1), (2), (5), (6), (9), (10), (11), (12), (15) are
% 186.25/30.69  | | |            inconsistent by sub-proof #1362.
% 186.25/30.69  | | | 
% 186.25/30.69  | | Case 2:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (16)  all_56_2 = e3 & op(e2, e3) = e3
% 186.25/30.69  | | | 
% 186.25/30.69  | | | ALPHA: (16) implies:
% 186.25/30.69  | | |   (17)  all_56_2 = e3
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (2), (7), (17) are inconsistent by sub-proof #1558.
% 186.25/30.69  | | | 
% 186.25/30.69  | | End of split
% 186.25/30.69  | | 
% 186.25/30.69  | Case 2:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (18)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 186.25/30.69  | |           e3)
% 186.25/30.69  | | 
% 186.25/30.69  | | BETA: splitting (18) gives:
% 186.25/30.69  | | 
% 186.25/30.69  | | Case 1:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (19)  all_56_6 = e3 & op(e1, e3) = e3
% 186.25/30.69  | | | 
% 186.25/30.69  | | | ALPHA: (19) implies:
% 186.25/30.69  | | |   (20)  op(e1, e3) = e3
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (3), (4), (9), (20) are inconsistent by sub-proof #1536.
% 186.25/30.69  | | | 
% 186.25/30.69  | | Case 2:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (21)  all_56_12 = e3 & op(e0, e3) = e3
% 186.25/30.69  | | | 
% 186.25/30.69  | | | ALPHA: (21) implies:
% 186.25/30.69  | | |   (22)  all_56_12 = e3
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (4), (10), (22) are inconsistent by sub-proof #1519.
% 186.25/30.69  | | | 
% 186.25/30.69  | | End of split
% 186.25/30.69  | | 
% 186.25/30.69  | End of split
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1362 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  all_56_6 = e0
% 186.25/30.69    (2)  all_56_2 = e1
% 186.25/30.69    (3)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.25/30.69         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.25/30.69    (4)   ~ (e2 = e0)
% 186.25/30.69    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.69    (6)  all_56_12 = e0
% 186.25/30.69    (7)   ~ (e3 = e2)
% 186.25/30.69    (8)  op(e3, e3) = e3
% 186.25/30.69    (9)   ~ (e2 = e1)
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | BETA: splitting (3) gives:
% 186.25/30.69  | 
% 186.25/30.69  | Case 1:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 186.25/30.69  | |           e2)
% 186.25/30.69  | | 
% 186.25/30.69  | | BETA: splitting (10) gives:
% 186.25/30.69  | | 
% 186.25/30.69  | | Case 1:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (11)  all_56_0 = e2 & op(e3, e3) = e2
% 186.25/30.69  | | | 
% 186.25/30.69  | | | ALPHA: (11) implies:
% 186.25/30.69  | | |   (12)  op(e3, e3) = e2
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (5), (7), (8), (12) are inconsistent by sub-proof #1594.
% 186.25/30.69  | | | 
% 186.25/30.69  | | Case 2:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (13)  all_56_2 = e2 & op(e2, e3) = e2
% 186.25/30.69  | | | 
% 186.25/30.69  | | | ALPHA: (13) implies:
% 186.25/30.69  | | |   (14)  all_56_2 = e2
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (2), (9), (14) are inconsistent by sub-proof #1363.
% 186.25/30.69  | | | 
% 186.25/30.69  | | End of split
% 186.25/30.69  | | 
% 186.25/30.69  | Case 2:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (15)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 186.25/30.69  | |           e2)
% 186.25/30.69  | | 
% 186.25/30.69  | | BETA: splitting (15) gives:
% 186.25/30.69  | | 
% 186.25/30.69  | | Case 1:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (16)  all_56_6 = e2 & op(e1, e3) = e2
% 186.25/30.69  | | | 
% 186.25/30.69  | | | ALPHA: (16) implies:
% 186.25/30.69  | | |   (17)  all_56_6 = e2
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (1), (4), (17) are inconsistent by sub-proof #1592.
% 186.25/30.69  | | | 
% 186.25/30.69  | | Case 2:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (18)  all_56_12 = e2 & op(e0, e3) = e2
% 186.25/30.69  | | | 
% 186.25/30.69  | | | ALPHA: (18) implies:
% 186.25/30.69  | | |   (19)  all_56_12 = e2
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (4), (6), (19) are inconsistent by sub-proof #1548.
% 186.25/30.69  | | | 
% 186.25/30.69  | | End of split
% 186.25/30.69  | | 
% 186.25/30.69  | End of split
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1363 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  all_56_2 = e2
% 186.25/30.69    (2)  all_56_2 = e1
% 186.25/30.69    (3)   ~ (e2 = e1)
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.69  |   (4)  e2 = e1
% 186.25/30.69  | 
% 186.25/30.69  | SIMP: (4) implies:
% 186.25/30.69  |   (5)  e2 = e1
% 186.25/30.69  | 
% 186.25/30.69  | REDUCE: (3), (5) imply:
% 186.25/30.69  |   (6)  $false
% 186.25/30.69  | 
% 186.25/30.69  | CLOSE: (6) is inconsistent.
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1364 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  op(e0, e0) = all_6_2
% 186.25/30.69    (2)  all_57_31 = e3
% 186.25/30.69    (3)   ~ (all_6_2 = e1)
% 186.25/30.69    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 186.25/30.69         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.25/30.69    (5)   ~ (e1 = e0)
% 186.25/30.69    (6)  op(e1, e0) = all_52_14
% 186.25/30.69    (7)  all_56_4 = e2
% 186.25/30.69    (8)   ~ (e3 = e0)
% 186.25/30.69    (9)   ~ (all_52_14 = e1)
% 186.25/30.69    (10)   ~ (e2 = e0)
% 186.25/30.69    (11)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 186.25/30.69          | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.25/30.69    (12)   ~ (e3 = e1)
% 186.25/30.69    (13)   ~ (all_6_2 = e2)
% 186.25/30.69    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.69            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.69    (15)  all_56_5 = e0
% 186.25/30.69    (16)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.25/30.69          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.25/30.69            e1)
% 186.25/30.69    (17)   ~ (e3 = e2)
% 186.25/30.69    (18)   ~ (all_52_7 = e2)
% 186.25/30.69    (19)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8
% 186.25/30.69              = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 =
% 186.25/30.69              e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.25/30.69            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.25/30.69            all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 186.25/30.69            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 186.25/30.69            $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 186.25/30.69            (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 186.25/30.69            & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 186.25/30.69            op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 186.25/30.69            all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 186.25/30.69            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 186.25/30.69            $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.25/30.69                op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 186.25/30.69                e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 186.25/30.69    (20)   ~ (e2 = e1)
% 186.25/30.69    (21)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.25/30.69          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.25/30.69            e2)
% 186.25/30.69    (22)  op(e0, e2) = all_52_7
% 186.25/30.69    (23)  op(e1, e1) = e1
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | BETA: splitting (4) gives:
% 186.25/30.69  | 
% 186.25/30.69  | Case 1:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (24)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 186.25/30.69  | |           e3)
% 186.25/30.69  | | 
% 186.25/30.69  | | BETA: splitting (24) gives:
% 186.25/30.69  | | 
% 186.25/30.69  | | Case 1:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (25)  all_56_4 = e3 & op(e3, e1) = e3
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (7), (17), (25) are inconsistent by sub-proof #1381.
% 186.25/30.69  | | | 
% 186.25/30.69  | | Case 2:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (26)  all_56_5 = e3 & op(e2, e1) = e3
% 186.25/30.69  | | | 
% 186.25/30.69  | | | ALPHA: (26) implies:
% 186.25/30.69  | | |   (27)  all_56_5 = e3
% 186.25/30.69  | | | 
% 186.25/30.69  | | | COMBINE_EQS: (15), (27) imply:
% 186.25/30.69  | | |   (28)  e3 = e0
% 186.25/30.69  | | | 
% 186.25/30.69  | | | COMBINE_EQS: (2), (28) imply:
% 186.25/30.69  | | |   (29)  all_57_31 = e0
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (6), (9), (14), (19), (29) are inconsistent by sub-proof #1583.
% 186.25/30.69  | | | 
% 186.25/30.69  | | End of split
% 186.25/30.69  | | 
% 186.25/30.69  | Case 2:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (30)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 186.25/30.69  | |           e3)
% 186.25/30.69  | | 
% 186.25/30.69  | | BETA: splitting (30) gives:
% 186.25/30.69  | | 
% 186.25/30.69  | | Case 1:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (31)  all_56_8 = e3 & op(e1, e1) = e3
% 186.25/30.69  | | | 
% 186.25/30.69  | | | ALPHA: (31) implies:
% 186.25/30.69  | | |   (32)  op(e1, e1) = e3
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (12), (14), (23), (32) are inconsistent by sub-proof #1541.
% 186.25/30.69  | | | 
% 186.25/30.69  | | Case 2:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (33)  all_56_14 = e3 & op(e0, e1) = e3
% 186.25/30.69  | | | 
% 186.25/30.69  | | | ALPHA: (33) implies:
% 186.25/30.69  | | |   (34)  all_56_14 = e3
% 186.25/30.69  | | | 
% 186.25/30.69  | | | BETA: splitting (21) gives:
% 186.25/30.69  | | | 
% 186.25/30.69  | | | Case 1:
% 186.25/30.69  | | | | 
% 186.25/30.69  | | | |   (35)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0,
% 186.25/30.69  | | | |             e2) = e2)
% 186.25/30.69  | | | | 
% 186.25/30.69  | | | | BETA: splitting (35) gives:
% 186.25/30.69  | | | | 
% 186.25/30.69  | | | | Case 1:
% 186.25/30.69  | | | | | 
% 186.25/30.69  | | | | |   (36)  all_56_12 = e2 & op(e0, e3) = e2
% 186.25/30.69  | | | | | 
% 186.25/30.69  | | | | | ALPHA: (36) implies:
% 186.25/30.69  | | | | |   (37)  all_56_12 = e2
% 186.25/30.69  | | | | | 
% 186.25/30.69  | | | | | REF_CLOSE: (1), (3), (5), (8), (10), (11), (12), (13), (14), (16),
% 186.25/30.69  | | | | |            (17), (20), (21), (34), (37) are inconsistent by sub-proof
% 186.25/30.69  | | | | |            #1367.
% 186.25/30.69  | | | | | 
% 186.25/30.69  | | | | Case 2:
% 186.25/30.69  | | | | | 
% 186.25/30.69  | | | | |   (38)  all_56_13 = e2 & op(e0, e2) = e2
% 186.25/30.69  | | | | | 
% 186.25/30.69  | | | | | ALPHA: (38) implies:
% 186.25/30.69  | | | | |   (39)  op(e0, e2) = e2
% 186.25/30.69  | | | | | 
% 186.25/30.69  | | | | | REF_CLOSE: (14), (18), (22), (39) are inconsistent by sub-proof #1613.
% 186.25/30.69  | | | | | 
% 186.25/30.69  | | | | End of split
% 186.25/30.69  | | | | 
% 186.25/30.69  | | | Case 2:
% 186.25/30.69  | | | | 
% 186.25/30.69  | | | |   (40)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 186.25/30.69  | | | |             e0) = e2)
% 186.25/30.69  | | | | 
% 186.25/30.69  | | | | REF_CLOSE: (1), (13), (14), (17), (34), (40) are inconsistent by
% 186.25/30.69  | | | |            sub-proof #1365.
% 186.25/30.69  | | | | 
% 186.25/30.69  | | | End of split
% 186.25/30.69  | | | 
% 186.25/30.69  | | End of split
% 186.25/30.69  | | 
% 186.25/30.69  | End of split
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1365 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  op(e0, e0) = all_6_2
% 186.25/30.69    (2)   ~ (all_6_2 = e2)
% 186.25/30.69    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.69    (4)   ~ (e3 = e2)
% 186.25/30.69    (5)  all_56_14 = e3
% 186.25/30.69    (6)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | BETA: splitting (6) gives:
% 186.25/30.69  | 
% 186.25/30.69  | Case 1:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (7)  all_56_14 = e2 & op(e0, e1) = e2
% 186.25/30.69  | | 
% 186.25/30.69  | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #1366.
% 186.25/30.69  | | 
% 186.25/30.69  | Case 2:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (8)  all_56_15 = e2 & op(e0, e0) = e2
% 186.25/30.69  | | 
% 186.25/30.69  | | ALPHA: (8) implies:
% 186.25/30.69  | |   (9)  op(e0, e0) = e2
% 186.25/30.69  | | 
% 186.25/30.69  | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #1511.
% 186.25/30.69  | | 
% 186.25/30.69  | End of split
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1366 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  all_56_14 = e2 & op(e0, e1) = e2
% 186.25/30.69    (2)  all_56_14 = e3
% 186.25/30.69    (3)   ~ (e3 = e2)
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | ALPHA: (1) implies:
% 186.25/30.69  |   (4)  all_56_14 = e2
% 186.25/30.69  | 
% 186.25/30.69  | COMBINE_EQS: (2), (4) imply:
% 186.25/30.69  |   (5)  e3 = e2
% 186.25/30.69  | 
% 186.25/30.69  | REDUCE: (3), (5) imply:
% 186.25/30.69  |   (6)  $false
% 186.25/30.69  | 
% 186.25/30.69  | CLOSE: (6) is inconsistent.
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1367 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  op(e0, e0) = all_6_2
% 186.25/30.69    (2)   ~ (all_6_2 = e1)
% 186.25/30.69    (3)   ~ (e1 = e0)
% 186.25/30.69    (4)   ~ (e3 = e0)
% 186.25/30.69    (5)   ~ (e2 = e0)
% 186.25/30.69    (6)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 186.25/30.69         (all_56_14 = e0 & op(e0, e1) = e0)
% 186.25/30.69    (7)   ~ (e3 = e1)
% 186.25/30.69    (8)   ~ (all_6_2 = e2)
% 186.25/30.69    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.69    (10)  all_56_12 = e2
% 186.25/30.69    (11)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.25/30.69          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.25/30.69            e1)
% 186.25/30.69    (12)   ~ (e3 = e2)
% 186.25/30.69    (13)  all_56_14 = e3
% 186.25/30.69    (14)   ~ (e2 = e1)
% 186.25/30.69    (15)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.25/30.69          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.25/30.69            e2)
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | BETA: splitting (11) gives:
% 186.25/30.69  | 
% 186.25/30.69  | Case 1:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (16)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 186.25/30.69  | |           e1)
% 186.25/30.69  | | 
% 186.25/30.69  | | BETA: splitting (16) gives:
% 186.25/30.69  | | 
% 186.25/30.69  | | Case 1:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (17)  all_56_12 = e1 & op(e0, e3) = e1
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (10), (14), (17) are inconsistent by sub-proof #1550.
% 186.25/30.69  | | | 
% 186.25/30.69  | | Case 2:
% 186.25/30.69  | | | 
% 186.25/30.69  | | |   (18)  all_56_13 = e1 & op(e0, e2) = e1
% 186.25/30.69  | | | 
% 186.25/30.69  | | | ALPHA: (18) implies:
% 186.25/30.69  | | |   (19)  all_56_13 = e1
% 186.25/30.69  | | | 
% 186.25/30.69  | | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (9), (12), (13), (14), (15), (19)
% 186.25/30.69  | | |            are inconsistent by sub-proof #1370.
% 186.25/30.69  | | | 
% 186.25/30.69  | | End of split
% 186.25/30.69  | | 
% 186.25/30.69  | Case 2:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (20)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.25/30.69  | |           e1)
% 186.25/30.69  | | 
% 186.25/30.69  | | REF_CLOSE: (1), (2), (7), (9), (13), (20) are inconsistent by sub-proof
% 186.25/30.69  | |            #1368.
% 186.25/30.69  | | 
% 186.25/30.69  | End of split
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1368 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  op(e0, e0) = all_6_2
% 186.25/30.69    (2)   ~ (all_6_2 = e1)
% 186.25/30.69    (3)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.25/30.69    (4)   ~ (e3 = e1)
% 186.25/30.69    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.69    (6)  all_56_14 = e3
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | BETA: splitting (3) gives:
% 186.25/30.69  | 
% 186.25/30.69  | Case 1:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (7)  all_56_14 = e1 & op(e0, e1) = e1
% 186.25/30.69  | | 
% 186.25/30.69  | | REF_CLOSE: (4), (6), (7) are inconsistent by sub-proof #1369.
% 186.25/30.69  | | 
% 186.25/30.69  | Case 2:
% 186.25/30.69  | | 
% 186.25/30.69  | |   (8)  all_56_15 = e1 & op(e0, e0) = e1
% 186.25/30.69  | | 
% 186.25/30.69  | | ALPHA: (8) implies:
% 186.25/30.69  | |   (9)  op(e0, e0) = e1
% 186.25/30.69  | | 
% 186.25/30.69  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1516.
% 186.25/30.69  | | 
% 186.25/30.69  | End of split
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1369 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  all_56_14 = e1 & op(e0, e1) = e1
% 186.25/30.69    (2)  all_56_14 = e3
% 186.25/30.69    (3)   ~ (e3 = e1)
% 186.25/30.69  
% 186.25/30.69  Begin of proof
% 186.25/30.69  | 
% 186.25/30.69  | ALPHA: (1) implies:
% 186.25/30.69  |   (4)  all_56_14 = e1
% 186.25/30.69  | 
% 186.25/30.69  | COMBINE_EQS: (2), (4) imply:
% 186.25/30.69  |   (5)  e3 = e1
% 186.25/30.69  | 
% 186.25/30.69  | REDUCE: (3), (5) imply:
% 186.25/30.69  |   (6)  $false
% 186.25/30.69  | 
% 186.25/30.69  | CLOSE: (6) is inconsistent.
% 186.25/30.69  | 
% 186.25/30.69  End of proof
% 186.25/30.69  
% 186.25/30.69  Sub-proof #1370 shows that the following formulas are inconsistent:
% 186.25/30.69  ----------------------------------------------------------------
% 186.25/30.69    (1)  op(e0, e0) = all_6_2
% 186.25/30.69    (2)   ~ (e1 = e0)
% 186.25/30.69    (3)   ~ (e3 = e0)
% 186.25/30.69    (4)   ~ (e2 = e0)
% 186.25/30.69    (5)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 186.25/30.69         (all_56_14 = e0 & op(e0, e1) = e0)
% 186.25/30.69    (6)   ~ (all_6_2 = e2)
% 186.25/30.69    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.69           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.69    (8)   ~ (e3 = e2)
% 186.25/30.70    (9)  all_56_14 = e3
% 186.25/30.70    (10)   ~ (e2 = e1)
% 186.25/30.70    (11)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.25/30.70          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.25/30.70            e2)
% 186.25/30.70    (12)  all_56_13 = e1
% 186.25/30.70  
% 186.25/30.70  Begin of proof
% 186.25/30.70  | 
% 186.25/30.70  | BETA: splitting (5) gives:
% 186.25/30.70  | 
% 186.25/30.70  | Case 1:
% 186.25/30.70  | | 
% 186.25/30.70  | |   (13)  all_56_12 = e0 & op(e0, e3) = e0
% 186.25/30.70  | | 
% 186.25/30.70  | | ALPHA: (13) implies:
% 186.25/30.70  | |   (14)  all_56_12 = e0
% 186.25/30.70  | | 
% 186.25/30.70  | | REF_CLOSE: (1), (4), (6), (7), (8), (9), (10), (11), (12), (14) are
% 186.25/30.70  | |            inconsistent by sub-proof #1509.
% 186.25/30.70  | | 
% 186.25/30.70  | Case 2:
% 186.25/30.70  | | 
% 186.25/30.70  | |   (15)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 186.25/30.70  | |           e0)
% 186.25/30.70  | | 
% 186.25/30.70  | | BETA: splitting (15) gives:
% 186.25/30.70  | | 
% 186.25/30.70  | | Case 1:
% 186.25/30.70  | | | 
% 186.25/30.70  | | |   (16)  all_56_13 = e0 & op(e0, e2) = e0
% 186.25/30.70  | | | 
% 186.25/30.70  | | | REF_CLOSE: (2), (12), (16) are inconsistent by sub-proof #1372.
% 186.25/30.70  | | | 
% 186.25/30.70  | | Case 2:
% 186.25/30.70  | | | 
% 186.25/30.70  | | |   (17)  all_56_14 = e0 & op(e0, e1) = e0
% 186.25/30.70  | | | 
% 186.25/30.70  | | | REF_CLOSE: (3), (9), (17) are inconsistent by sub-proof #1371.
% 186.25/30.70  | | | 
% 186.25/30.70  | | End of split
% 186.25/30.70  | | 
% 186.25/30.70  | End of split
% 186.25/30.70  | 
% 186.25/30.70  End of proof
% 186.25/30.70  
% 186.25/30.70  Sub-proof #1371 shows that the following formulas are inconsistent:
% 186.25/30.70  ----------------------------------------------------------------
% 186.25/30.70    (1)  all_56_14 = e0 & op(e0, e1) = e0
% 186.25/30.70    (2)  all_56_14 = e3
% 186.25/30.70    (3)   ~ (e3 = e0)
% 186.25/30.70  
% 186.25/30.70  Begin of proof
% 186.25/30.70  | 
% 186.25/30.70  | ALPHA: (1) implies:
% 186.25/30.70  |   (4)  all_56_14 = e0
% 186.25/30.70  | 
% 186.25/30.70  | COMBINE_EQS: (2), (4) imply:
% 186.25/30.70  |   (5)  e3 = e0
% 186.25/30.70  | 
% 186.25/30.70  | REDUCE: (3), (5) imply:
% 186.25/30.70  |   (6)  $false
% 186.25/30.70  | 
% 186.25/30.70  | CLOSE: (6) is inconsistent.
% 186.25/30.70  | 
% 186.25/30.70  End of proof
% 186.25/30.70  
% 186.25/30.70  Sub-proof #1372 shows that the following formulas are inconsistent:
% 186.25/30.70  ----------------------------------------------------------------
% 186.25/30.70    (1)  all_56_13 = e0 & op(e0, e2) = e0
% 186.25/30.70    (2)  all_56_13 = e1
% 186.25/30.70    (3)   ~ (e1 = e0)
% 186.25/30.70  
% 186.25/30.70  Begin of proof
% 186.25/30.70  | 
% 186.25/30.70  | ALPHA: (1) implies:
% 186.25/30.70  |   (4)  all_56_13 = e0
% 186.25/30.70  | 
% 186.25/30.70  | COMBINE_EQS: (2), (4) imply:
% 186.25/30.70  |   (5)  e1 = e0
% 186.25/30.70  | 
% 186.25/30.70  | REDUCE: (3), (5) imply:
% 186.25/30.70  |   (6)  $false
% 186.25/30.70  | 
% 186.25/30.70  | CLOSE: (6) is inconsistent.
% 186.25/30.70  | 
% 186.25/30.70  End of proof
% 186.25/30.70  
% 186.25/30.70  Sub-proof #1373 shows that the following formulas are inconsistent:
% 186.25/30.70  ----------------------------------------------------------------
% 186.25/30.70    (1)   ~ (all_4_2 = e0)
% 186.25/30.70    (2)   ~ (e1 = e0)
% 186.25/30.70    (3)  all_56_4 = e2
% 186.25/30.70    (4)   ~ (e3 = e0)
% 186.25/30.70    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.25/30.70         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.25/30.70    (6)   ~ (e2 = e0)
% 186.25/30.70    (7)   ~ (e3 = e1)
% 186.25/30.70    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.70    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.25/30.70         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.25/30.70    (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.25/30.70          (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.25/30.70    (11)   ~ (e3 = e2)
% 186.25/30.70    (12)  op(e3, e3) = e1
% 186.25/30.70    (13)  op(e3, e1) = all_52_8
% 186.25/30.70    (14)  op(e3, e3) = all_4_2
% 186.25/30.70    (15)  all_56_9 = e1
% 186.25/30.70    (16)   ~ (e2 = e1)
% 186.25/30.70  
% 186.25/30.70  Begin of proof
% 186.25/30.70  | 
% 186.25/30.70  | BETA: splitting (5) gives:
% 186.25/30.70  | 
% 186.25/30.70  | Case 1:
% 186.25/30.70  | | 
% 186.25/30.70  | |   (17)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 186.25/30.70  | |           e0)
% 186.25/30.70  | | 
% 186.25/30.70  | | BETA: splitting (17) gives:
% 186.25/30.70  | | 
% 186.25/30.70  | | Case 1:
% 186.25/30.70  | | | 
% 186.25/30.70  | | |   (18)  all_56_0 = e0 & op(e3, e3) = e0
% 186.25/30.70  | | | 
% 186.25/30.70  | | | ALPHA: (18) implies:
% 186.25/30.70  | | |   (19)  op(e3, e3) = e0
% 186.25/30.70  | | | 
% 186.25/30.70  | | | REF_CLOSE: (1), (8), (14), (19) are inconsistent by sub-proof #1624.
% 186.25/30.70  | | | 
% 186.25/30.70  | | Case 2:
% 186.25/30.70  | | | 
% 186.25/30.70  | | |   (20)  all_56_1 = e0 & op(e3, e2) = e0
% 186.25/30.70  | | | 
% 186.25/30.70  | | | ALPHA: (20) implies:
% 186.25/30.70  | | |   (21)  all_56_1 = e0
% 186.25/30.70  | | | 
% 186.25/30.70  | | | BETA: splitting (9) gives:
% 186.25/30.70  | | | 
% 186.25/30.70  | | | Case 1:
% 186.25/30.70  | | | | 
% 186.25/30.70  | | | |   (22)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2)
% 186.25/30.70  | | | |           = e3)
% 186.25/30.70  | | | | 
% 186.25/30.70  | | | | BETA: splitting (22) gives:
% 186.25/30.70  | | | | 
% 186.25/30.70  | | | | Case 1:
% 186.25/30.70  | | | | | 
% 186.25/30.70  | | | | |   (23)  all_56_0 = e3 & op(e3, e3) = e3
% 186.25/30.70  | | | | | 
% 186.25/30.70  | | | | | ALPHA: (23) implies:
% 186.25/30.70  | | | | |   (24)  op(e3, e3) = e3
% 186.25/30.70  | | | | | 
% 186.25/30.70  | | | | | REF_CLOSE: (7), (8), (12), (24) are inconsistent by sub-proof #1600.
% 186.25/30.70  | | | | | 
% 186.25/30.70  | | | | Case 2:
% 186.25/30.70  | | | | | 
% 186.25/30.70  | | | | |   (25)  all_56_1 = e3 & op(e3, e2) = e3
% 186.25/30.70  | | | | | 
% 186.25/30.70  | | | | | ALPHA: (25) implies:
% 186.25/30.70  | | | | |   (26)  all_56_1 = e3
% 186.25/30.70  | | | | | 
% 186.25/30.70  | | | | | REF_CLOSE: (4), (21), (26) are inconsistent by sub-proof #1573.
% 186.25/30.70  | | | | | 
% 186.25/30.70  | | | | End of split
% 186.25/30.70  | | | | 
% 186.25/30.70  | | | Case 2:
% 186.25/30.70  | | | | 
% 186.25/30.70  | | | |   (27)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0)
% 186.25/30.70  | | | |           = e3)
% 186.25/30.70  | | | | 
% 186.25/30.70  | | | | BETA: splitting (27) gives:
% 186.25/30.70  | | | | 
% 186.25/30.70  | | | | Case 1:
% 186.25/30.70  | | | | | 
% 186.25/30.70  | | | | |   (28)  all_56_4 = e3 & op(e3, e1) = e3
% 186.25/30.70  | | | | | 
% 186.25/30.70  | | | | | REF_CLOSE: (3), (11), (28) are inconsistent by sub-proof #1381.
% 186.25/30.70  | | | | | 
% 186.25/30.70  | | | | Case 2:
% 186.25/30.70  | | | | | 
% 186.25/30.70  | | | | |   (29)  all_56_9 = e3 & op(e3, e0) = e3
% 186.25/30.70  | | | | | 
% 186.25/30.70  | | | | | REF_CLOSE: (7), (15), (29) are inconsistent by sub-proof #1380.
% 186.25/30.70  | | | | | 
% 186.25/30.70  | | | | End of split
% 186.25/30.70  | | | | 
% 186.25/30.70  | | | End of split
% 186.25/30.70  | | | 
% 186.25/30.70  | | End of split
% 186.25/30.70  | | 
% 186.25/30.70  | Case 2:
% 186.25/30.70  | | 
% 186.25/30.70  | |   (30)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 186.25/30.70  | |           e0)
% 186.25/30.70  | | 
% 186.25/30.70  | | REF_CLOSE: (2), (4), (6), (7), (8), (9), (10), (11), (12), (13), (15), (16),
% 186.25/30.70  | |            (30) are inconsistent by sub-proof #1374.
% 186.25/30.70  | | 
% 186.25/30.70  | End of split
% 186.25/30.70  | 
% 186.25/30.70  End of proof
% 186.25/30.70  
% 186.25/30.70  Sub-proof #1374 shows that the following formulas are inconsistent:
% 186.25/30.70  ----------------------------------------------------------------
% 186.25/30.70    (1)   ~ (e1 = e0)
% 186.25/30.70    (2)   ~ (e3 = e0)
% 186.25/30.70    (3)   ~ (e2 = e0)
% 186.25/30.70    (4)   ~ (e3 = e1)
% 186.25/30.70    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.70    (6)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.25/30.70         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.25/30.70    (7)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.25/30.70         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.25/30.70    (8)   ~ (e3 = e2)
% 186.25/30.70    (9)  op(e3, e3) = e1
% 186.25/30.70    (10)  op(e3, e1) = all_52_8
% 186.25/30.70    (11)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.25/30.70    (12)  all_56_9 = e1
% 186.25/30.70    (13)   ~ (e2 = e1)
% 186.25/30.70  
% 186.25/30.70  Begin of proof
% 186.25/30.70  | 
% 186.25/30.70  | BETA: splitting (11) gives:
% 186.25/30.70  | 
% 186.25/30.70  | Case 1:
% 186.25/30.70  | | 
% 186.25/30.70  | |   (14)  all_56_4 = e0 & op(e3, e1) = e0
% 186.25/30.70  | | 
% 186.25/30.70  | | ALPHA: (14) implies:
% 186.25/30.70  | |   (15)  all_56_4 = e0
% 186.25/30.70  | |   (16)  op(e3, e1) = e0
% 186.25/30.70  | | 
% 186.25/30.70  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13), (15),
% 186.25/30.70  | |            (16) are inconsistent by sub-proof #1375.
% 186.25/30.70  | | 
% 186.25/30.70  | Case 2:
% 186.25/30.70  | | 
% 186.25/30.70  | |   (17)  all_56_9 = e0 & op(e3, e0) = e0
% 186.25/30.70  | | 
% 186.25/30.70  | | REF_CLOSE: (1), (12), (17) are inconsistent by sub-proof #1505.
% 186.25/30.70  | | 
% 186.25/30.70  | End of split
% 186.25/30.70  | 
% 186.25/30.70  End of proof
% 186.25/30.70  
% 186.25/30.70  Sub-proof #1375 shows that the following formulas are inconsistent:
% 186.25/30.70  ----------------------------------------------------------------
% 186.25/30.70    (1)   ~ (e3 = e0)
% 186.25/30.70    (2)   ~ (e2 = e0)
% 186.25/30.70    (3)   ~ (e3 = e1)
% 186.25/30.70    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.70    (5)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.25/30.70         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.25/30.70    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.25/30.70         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.25/30.70    (7)   ~ (e3 = e2)
% 186.25/30.70    (8)  op(e3, e3) = e1
% 186.25/30.70    (9)  op(e3, e1) = e0
% 186.25/30.70    (10)  op(e3, e1) = all_52_8
% 186.25/30.70    (11)  all_56_4 = e0
% 186.25/30.70    (12)  all_56_9 = e1
% 186.25/30.70    (13)   ~ (e2 = e1)
% 186.25/30.70  
% 186.25/30.70  Begin of proof
% 186.25/30.70  | 
% 186.25/30.70  | BETA: splitting (5) gives:
% 186.25/30.70  | 
% 186.25/30.70  | Case 1:
% 186.25/30.70  | | 
% 186.25/30.70  | |   (14)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 186.25/30.70  | |           e3)
% 186.25/30.70  | | 
% 186.25/30.70  | | BETA: splitting (14) gives:
% 186.25/30.70  | | 
% 186.25/30.70  | | Case 1:
% 186.25/30.70  | | | 
% 186.25/30.70  | | |   (15)  all_56_0 = e3 & op(e3, e3) = e3
% 186.25/30.70  | | | 
% 186.25/30.70  | | | ALPHA: (15) implies:
% 186.25/30.70  | | |   (16)  op(e3, e3) = e3
% 186.25/30.70  | | | 
% 186.25/30.70  | | | REF_CLOSE: (3), (4), (8), (16) are inconsistent by sub-proof #1600.
% 186.25/30.70  | | | 
% 186.25/30.70  | | Case 2:
% 186.25/30.70  | | | 
% 186.25/30.70  | | |   (17)  all_56_1 = e3 & op(e3, e2) = e3
% 186.25/30.70  | | | 
% 186.25/30.70  | | | ALPHA: (17) implies:
% 186.25/30.70  | | |   (18)  all_56_1 = e3
% 186.25/30.70  | | | 
% 186.25/30.70  | | | REF_CLOSE: (2), (4), (6), (7), (8), (11), (12), (13), (18) are
% 186.25/30.70  | | |            inconsistent by sub-proof #1377.
% 186.25/30.70  | | | 
% 186.25/30.70  | | End of split
% 186.25/30.70  | | 
% 186.25/30.70  | Case 2:
% 186.25/30.70  | | 
% 186.25/30.70  | |   (19)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 186.25/30.70  | |           e3)
% 186.25/30.70  | | 
% 186.25/30.70  | | BETA: splitting (19) gives:
% 186.25/30.70  | | 
% 186.25/30.70  | | Case 1:
% 186.25/30.70  | | | 
% 186.25/30.70  | | |   (20)  all_56_4 = e3 & op(e3, e1) = e3
% 186.25/30.70  | | | 
% 186.25/30.70  | | | ALPHA: (20) implies:
% 186.25/30.70  | | |   (21)  op(e3, e1) = e3
% 186.25/30.70  | | | 
% 186.25/30.70  | | | REF_CLOSE: (1), (4), (9), (10), (21) are inconsistent by sub-proof #1577.
% 186.25/30.70  | | | 
% 186.25/30.70  | | Case 2:
% 186.25/30.70  | | | 
% 186.25/30.70  | | |   (22)  all_56_9 = e3 & op(e3, e0) = e3
% 186.25/30.70  | | | 
% 186.25/30.70  | | | ALPHA: (22) implies:
% 186.25/30.70  | | |   (23)  all_56_9 = e3
% 186.25/30.70  | | | 
% 186.25/30.70  | | | REF_CLOSE: (3), (12), (23) are inconsistent by sub-proof #1376.
% 186.25/30.70  | | | 
% 186.25/30.70  | | End of split
% 186.25/30.70  | | 
% 186.25/30.70  | End of split
% 186.25/30.70  | 
% 186.25/30.70  End of proof
% 186.25/30.70  
% 186.25/30.70  Sub-proof #1376 shows that the following formulas are inconsistent:
% 186.25/30.70  ----------------------------------------------------------------
% 186.25/30.70    (1)  all_56_9 = e3
% 186.25/30.70    (2)  all_56_9 = e1
% 186.25/30.70    (3)   ~ (e3 = e1)
% 186.25/30.70  
% 186.25/30.70  Begin of proof
% 186.25/30.70  | 
% 186.25/30.70  | COMBINE_EQS: (1), (2) imply:
% 186.25/30.70  |   (4)  e3 = e1
% 186.25/30.70  | 
% 186.25/30.70  | SIMP: (4) implies:
% 186.25/30.70  |   (5)  e3 = e1
% 186.25/30.70  | 
% 186.25/30.70  | REDUCE: (3), (5) imply:
% 186.25/30.70  |   (6)  $false
% 186.25/30.70  | 
% 186.25/30.70  | CLOSE: (6) is inconsistent.
% 186.25/30.70  | 
% 186.25/30.70  End of proof
% 186.25/30.70  
% 186.25/30.70  Sub-proof #1377 shows that the following formulas are inconsistent:
% 186.25/30.70  ----------------------------------------------------------------
% 186.25/30.70    (1)   ~ (e2 = e0)
% 186.25/30.70    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.70    (3)  all_56_1 = e3
% 186.25/30.70    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.25/30.70         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.25/30.70    (5)   ~ (e3 = e2)
% 186.25/30.70    (6)  op(e3, e3) = e1
% 186.25/30.70    (7)  all_56_4 = e0
% 186.25/30.70    (8)  all_56_9 = e1
% 186.25/30.70    (9)   ~ (e2 = e1)
% 186.25/30.70  
% 186.25/30.70  Begin of proof
% 186.25/30.70  | 
% 186.25/30.70  | BETA: splitting (4) gives:
% 186.25/30.70  | 
% 186.25/30.70  | Case 1:
% 186.25/30.70  | | 
% 186.25/30.70  | |   (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 186.25/30.70  | |           e2)
% 186.25/30.70  | | 
% 186.25/30.70  | | REF_CLOSE: (2), (3), (5), (6), (9), (10) are inconsistent by sub-proof
% 186.25/30.70  | |            #1378.
% 186.25/30.70  | | 
% 186.25/30.70  | Case 2:
% 186.25/30.70  | | 
% 186.25/30.70  | |   (11)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 186.25/30.70  | |           e2)
% 186.25/30.70  | | 
% 186.25/30.70  | | BETA: splitting (11) gives:
% 186.25/30.70  | | 
% 186.25/30.70  | | Case 1:
% 186.25/30.70  | | | 
% 186.25/30.70  | | |   (12)  all_56_4 = e2 & op(e3, e1) = e2
% 186.25/30.70  | | | 
% 186.25/30.70  | | | ALPHA: (12) implies:
% 186.25/30.70  | | |   (13)  all_56_4 = e2
% 186.25/30.70  | | | 
% 186.25/30.70  | | | REF_CLOSE: (1), (7), (13) are inconsistent by sub-proof #1394.
% 186.25/30.70  | | | 
% 186.25/30.70  | | Case 2:
% 186.25/30.70  | | | 
% 186.25/30.70  | | |   (14)  all_56_9 = e2 & op(e3, e0) = e2
% 186.25/30.70  | | | 
% 186.25/30.70  | | | ALPHA: (14) implies:
% 186.25/30.70  | | |   (15)  all_56_9 = e2
% 186.25/30.70  | | | 
% 186.25/30.70  | | | REF_CLOSE: (8), (9), (15) are inconsistent by sub-proof #1503.
% 186.25/30.70  | | | 
% 186.25/30.70  | | End of split
% 186.25/30.70  | | 
% 186.25/30.70  | End of split
% 186.25/30.70  | 
% 186.25/30.70  End of proof
% 186.25/30.70  
% 186.25/30.70  Sub-proof #1378 shows that the following formulas are inconsistent:
% 186.25/30.70  ----------------------------------------------------------------
% 186.25/30.70    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.25/30.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.25/30.70    (2)  all_56_1 = e3
% 186.25/30.70    (3)   ~ (e3 = e2)
% 186.25/30.70    (4)  op(e3, e3) = e1
% 186.25/30.70    (5)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 186.25/30.70    (6)   ~ (e2 = e1)
% 186.25/30.70  
% 186.25/30.70  Begin of proof
% 186.25/30.70  | 
% 186.25/30.70  | BETA: splitting (5) gives:
% 186.25/30.70  | 
% 186.25/30.70  | Case 1:
% 186.25/30.70  | | 
% 186.25/30.70  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 186.25/30.70  | | 
% 186.25/30.70  | | ALPHA: (7) implies:
% 186.25/30.70  | |   (8)  op(e3, e3) = e2
% 186.25/30.70  | | 
% 186.25/30.70  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1582.
% 186.25/30.70  | | 
% 186.25/30.70  | Case 2:
% 186.25/30.70  | | 
% 186.25/30.70  | |   (9)  all_56_1 = e2 & op(e3, e2) = e2
% 186.25/30.70  | | 
% 186.25/30.70  | | REF_CLOSE: (2), (3), (9) are inconsistent by sub-proof #1379.
% 186.25/30.70  | | 
% 186.25/30.70  | End of split
% 186.25/30.70  | 
% 186.25/30.70  End of proof
% 186.25/30.70  
% 186.25/30.70  Sub-proof #1379 shows that the following formulas are inconsistent:
% 186.25/30.70  ----------------------------------------------------------------
% 186.25/30.70    (1)  all_56_1 = e2 & op(e3, e2) = e2
% 186.25/30.70    (2)  all_56_1 = e3
% 186.25/30.70    (3)   ~ (e3 = e2)
% 186.25/30.70  
% 186.25/30.70  Begin of proof
% 186.25/30.70  | 
% 186.25/30.70  | ALPHA: (1) implies:
% 186.25/30.70  |   (4)  all_56_1 = e2
% 186.25/30.70  | 
% 186.25/30.70  | COMBINE_EQS: (2), (4) imply:
% 186.25/30.70  |   (5)  e3 = e2
% 186.25/30.70  | 
% 186.25/30.70  | REDUCE: (3), (5) imply:
% 186.25/30.70  |   (6)  $false
% 186.25/30.70  | 
% 186.25/30.70  | CLOSE: (6) is inconsistent.
% 186.25/30.70  | 
% 186.25/30.70  End of proof
% 186.25/30.70  
% 186.25/30.70  Sub-proof #1380 shows that the following formulas are inconsistent:
% 186.25/30.70  ----------------------------------------------------------------
% 186.25/30.70    (1)  all_56_9 = e3 & op(e3, e0) = e3
% 186.25/30.70    (2)  all_56_9 = e1
% 186.25/30.70    (3)   ~ (e3 = e1)
% 186.25/30.70  
% 186.25/30.70  Begin of proof
% 186.25/30.70  | 
% 186.25/30.70  | ALPHA: (1) implies:
% 186.25/30.70  |   (4)  all_56_9 = e3
% 186.25/30.70  | 
% 186.25/30.70  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.70  |   (5)  e3 = e1
% 186.36/30.70  | 
% 186.36/30.70  | REDUCE: (3), (5) imply:
% 186.36/30.70  |   (6)  $false
% 186.36/30.70  | 
% 186.36/30.70  | CLOSE: (6) is inconsistent.
% 186.36/30.70  | 
% 186.36/30.70  End of proof
% 186.36/30.70  
% 186.36/30.70  Sub-proof #1381 shows that the following formulas are inconsistent:
% 186.36/30.70  ----------------------------------------------------------------
% 186.36/30.70    (1)  all_56_4 = e3 & op(e3, e1) = e3
% 186.36/30.70    (2)  all_56_4 = e2
% 186.36/30.70    (3)   ~ (e3 = e2)
% 186.36/30.70  
% 186.36/30.70  Begin of proof
% 186.36/30.70  | 
% 186.36/30.70  | ALPHA: (1) implies:
% 186.36/30.70  |   (4)  all_56_4 = e3
% 186.36/30.70  | 
% 186.36/30.70  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.70  |   (5)  e3 = e2
% 186.36/30.70  | 
% 186.36/30.70  | REDUCE: (3), (5) imply:
% 186.36/30.70  |   (6)  $false
% 186.36/30.70  | 
% 186.36/30.70  | CLOSE: (6) is inconsistent.
% 186.36/30.70  | 
% 186.36/30.70  End of proof
% 186.36/30.70  
% 186.36/30.70  Sub-proof #1382 shows that the following formulas are inconsistent:
% 186.36/30.70  ----------------------------------------------------------------
% 186.36/30.70    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.70    (2)  op(e3, e2) = all_52_4
% 186.36/30.70    (3)  op(e3, e2) = e2
% 186.36/30.70    (4)   ~ (all_52_4 = e2)
% 186.36/30.70  
% 186.36/30.70  Begin of proof
% 186.36/30.70  | 
% 186.36/30.70  | GROUND_INST: instantiating (1) with all_52_4, e2, e2, e3, simplifying with
% 186.36/30.70  |              (2), (3) gives:
% 186.36/30.70  |   (5)  all_52_4 = e2
% 186.36/30.70  | 
% 186.36/30.70  | REDUCE: (4), (5) imply:
% 186.36/30.70  |   (6)  $false
% 186.36/30.70  | 
% 186.36/30.70  | CLOSE: (6) is inconsistent.
% 186.36/30.70  | 
% 186.36/30.70  End of proof
% 186.36/30.70  
% 186.36/30.70  Sub-proof #1383 shows that the following formulas are inconsistent:
% 186.36/30.70  ----------------------------------------------------------------
% 186.36/30.70    (1)  all_56_12 = e2
% 186.36/30.70    (2)  all_56_12 = e1
% 186.36/30.70    (3)   ~ (e2 = e1)
% 186.36/30.70  
% 186.36/30.70  Begin of proof
% 186.36/30.70  | 
% 186.36/30.70  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.70  |   (4)  e2 = e1
% 186.36/30.70  | 
% 186.36/30.70  | SIMP: (4) implies:
% 186.36/30.70  |   (5)  e2 = e1
% 186.36/30.70  | 
% 186.36/30.70  | REDUCE: (3), (5) imply:
% 186.36/30.70  |   (6)  $false
% 186.36/30.70  | 
% 186.36/30.70  | CLOSE: (6) is inconsistent.
% 186.36/30.70  | 
% 186.36/30.70  End of proof
% 186.36/30.70  
% 186.36/30.70  Sub-proof #1384 shows that the following formulas are inconsistent:
% 186.36/30.70  ----------------------------------------------------------------
% 186.36/30.70    (1)   ~ (all_57_21 = e2)
% 186.36/30.70    (2)   ~ (e1 = e0)
% 186.36/30.70    (3)   ~ (e3 = e0)
% 186.36/30.70    (4)   ~ (e2 = e0)
% 186.36/30.70    (5)  op(e2, e0) = all_57_21
% 186.36/30.70    (6)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.36/30.70         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.36/30.70    (7)   ~ (e3 = e1)
% 186.36/30.70    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.70    (9)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 186.36/30.70         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 186.36/30.70    (10)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 186.36/30.70    (11)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.36/30.70          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 186.36/30.70    (12)   ~ (e3 = e2)
% 186.36/30.70    (13)  op(e3, e1) = all_52_8
% 186.36/30.70    (14)  op(e3, e3) = e3
% 186.36/30.70    (15)   ~ (e2 = e1)
% 186.36/30.70    (16)  all_56_13 = e1
% 186.36/30.70    (17)  all_56_7 = e3
% 186.36/30.70    (18)   ~ (all_52_8 = e1)
% 186.36/30.70  
% 186.36/30.70  Begin of proof
% 186.36/30.70  | 
% 186.36/30.70  | BETA: splitting (10) gives:
% 186.36/30.70  | 
% 186.36/30.70  | Case 1:
% 186.36/30.70  | | 
% 186.36/30.70  | |   (19)  all_56_9 = e2 & op(e3, e0) = e2
% 186.36/30.70  | | 
% 186.36/30.70  | | ALPHA: (19) implies:
% 186.36/30.70  | |   (20)  all_56_9 = e2
% 186.36/30.70  | | 
% 186.36/30.70  | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (11), (12), (13), (14), (15),
% 186.36/30.70  | |            (16), (17), (18), (20) are inconsistent by sub-proof #1385.
% 186.36/30.70  | | 
% 186.36/30.70  | Case 2:
% 186.36/30.70  | | 
% 186.36/30.70  | |   (21)  all_56_10 = e2 & op(e2, e0) = e2
% 186.36/30.70  | | 
% 186.36/30.70  | | ALPHA: (21) implies:
% 186.36/30.70  | |   (22)  op(e2, e0) = e2
% 186.36/30.70  | | 
% 186.36/30.70  | | REF_CLOSE: (1), (5), (8), (22) are inconsistent by sub-proof #1388.
% 186.36/30.70  | | 
% 186.36/30.70  | End of split
% 186.36/30.70  | 
% 186.36/30.70  End of proof
% 186.36/30.70  
% 186.36/30.70  Sub-proof #1385 shows that the following formulas are inconsistent:
% 186.36/30.70  ----------------------------------------------------------------
% 186.36/30.70    (1)  all_56_9 = e2
% 186.36/30.70    (2)   ~ (e1 = e0)
% 186.36/30.70    (3)   ~ (e3 = e0)
% 186.36/30.70    (4)   ~ (e2 = e0)
% 186.36/30.70    (5)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.36/30.70         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.36/30.70    (6)   ~ (e3 = e1)
% 186.36/30.70    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.70    (8)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 186.36/30.70         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 186.36/30.70    (9)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.36/30.70         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 186.36/30.70    (10)   ~ (e3 = e2)
% 186.36/30.70    (11)  op(e3, e1) = all_52_8
% 186.36/30.70    (12)  op(e3, e3) = e3
% 186.36/30.70    (13)   ~ (e2 = e1)
% 186.36/30.70    (14)  all_56_13 = e1
% 186.36/30.70    (15)  all_56_7 = e3
% 186.36/30.70    (16)   ~ (all_52_8 = e1)
% 186.36/30.70  
% 186.36/30.70  Begin of proof
% 186.36/30.70  | 
% 186.36/30.70  | BETA: splitting (8) gives:
% 186.36/30.70  | 
% 186.36/30.70  | Case 1:
% 186.36/30.70  | | 
% 186.36/30.70  | |   (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) =
% 186.36/30.70  | |           e1)
% 186.36/30.70  | | 
% 186.36/30.70  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (10), (12), (13), (14), (15),
% 186.36/30.70  | |            (17) are inconsistent by sub-proof #1386.
% 186.36/30.70  | | 
% 186.36/30.70  | Case 2:
% 186.36/30.70  | | 
% 186.36/30.70  | |   (18)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 186.36/30.70  | |           e1)
% 186.36/30.70  | | 
% 186.36/30.70  | | REF_CLOSE: (1), (7), (11), (13), (16), (18) are inconsistent by sub-proof
% 186.36/30.70  | |            #1389.
% 186.36/30.70  | | 
% 186.36/30.70  | End of split
% 186.36/30.70  | 
% 186.36/30.70  End of proof
% 186.36/30.70  
% 186.36/30.70  Sub-proof #1386 shows that the following formulas are inconsistent:
% 186.36/30.70  ----------------------------------------------------------------
% 186.36/30.70    (1)   ~ (e1 = e0)
% 186.36/30.70    (2)   ~ (e3 = e0)
% 186.36/30.70    (3)   ~ (e2 = e0)
% 186.36/30.70    (4)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.36/30.70         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.36/30.70    (5)   ~ (e3 = e1)
% 186.36/30.70    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.70    (7)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 186.36/30.70    (8)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.36/30.70         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 186.36/30.70    (9)   ~ (e3 = e2)
% 186.36/30.70    (10)  op(e3, e3) = e3
% 186.36/30.70    (11)   ~ (e2 = e1)
% 186.36/30.70    (12)  all_56_13 = e1
% 186.36/30.70    (13)  all_56_7 = e3
% 186.36/30.70  
% 186.36/30.70  Begin of proof
% 186.36/30.70  | 
% 186.36/30.70  | BETA: splitting (7) gives:
% 186.36/30.70  | 
% 186.36/30.70  | Case 1:
% 186.36/30.70  | | 
% 186.36/30.70  | |   (14)  all_56_0 = e1 & op(e3, e3) = e1
% 186.36/30.70  | | 
% 186.36/30.70  | | ALPHA: (14) implies:
% 186.36/30.70  | |   (15)  op(e3, e3) = e1
% 186.36/30.70  | | 
% 186.36/30.70  | | REF_CLOSE: (5), (6), (10), (15) are inconsistent by sub-proof #1600.
% 186.36/30.70  | | 
% 186.36/30.70  | Case 2:
% 186.36/30.70  | | 
% 186.36/30.70  | |   (16)  all_56_1 = e1 & op(e3, e2) = e1
% 186.36/30.70  | | 
% 186.36/30.70  | | ALPHA: (16) implies:
% 186.36/30.70  | |   (17)  all_56_1 = e1
% 186.36/30.70  | | 
% 186.36/30.70  | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (11), (12), (13), (17) are
% 186.36/30.70  | |            inconsistent by sub-proof #1426.
% 186.36/30.70  | | 
% 186.36/30.70  | End of split
% 186.36/30.70  | 
% 186.36/30.70  End of proof
% 186.36/30.70  
% 186.36/30.70  Sub-proof #1387 shows that the following formulas are inconsistent:
% 186.36/30.70  ----------------------------------------------------------------
% 186.36/30.70    (1)  op(e0, e0) = all_6_2
% 186.36/30.70    (2)  all_56_6 = e2
% 186.36/30.70    (3)   ~ (e1 = e0)
% 186.36/30.70    (4)   ~ (e3 = e0)
% 186.36/30.70    (5)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.36/30.70         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.36/30.70    (6)   ~ (e2 = e0)
% 186.36/30.70    (7)   ~ (e3 = e1)
% 186.36/30.70    (8)   ~ (all_6_2 = e2)
% 186.36/30.70    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.70    (10)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.36/30.70    (11)   ~ (e3 = e2)
% 186.36/30.70    (12)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 186.36/30.70          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.36/30.70    (13)  op(e1, e1) = e1
% 186.36/30.70  
% 186.36/30.70  Begin of proof
% 186.36/30.70  | 
% 186.36/30.70  | BETA: splitting (10) gives:
% 186.36/30.70  | 
% 186.36/30.70  | Case 1:
% 186.36/30.70  | | 
% 186.36/30.70  | |   (14)  all_56_11 = e2 & op(e1, e0) = e2
% 186.36/30.70  | | 
% 186.36/30.70  | | ALPHA: (14) implies:
% 186.36/30.70  | |   (15)  all_56_11 = e2
% 186.36/30.70  | | 
% 186.36/30.70  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (11), (12), (13), (15) are
% 186.36/30.70  | |            inconsistent by sub-proof #1450.
% 186.36/30.70  | | 
% 186.36/30.70  | Case 2:
% 186.36/30.70  | | 
% 186.36/30.70  | |   (16)  all_56_15 = e2 & op(e0, e0) = e2
% 186.36/30.70  | | 
% 186.36/30.70  | | ALPHA: (16) implies:
% 186.36/30.70  | |   (17)  op(e0, e0) = e2
% 186.36/30.70  | | 
% 186.36/30.70  | | REF_CLOSE: (1), (8), (9), (17) are inconsistent by sub-proof #1511.
% 186.36/30.70  | | 
% 186.36/30.70  | End of split
% 186.36/30.70  | 
% 186.36/30.70  End of proof
% 186.36/30.70  
% 186.36/30.70  Sub-proof #1388 shows that the following formulas are inconsistent:
% 186.36/30.70  ----------------------------------------------------------------
% 186.36/30.70    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.70    (2)  op(e2, e0) = all_57_21
% 186.36/30.70    (3)  op(e2, e0) = e2
% 186.36/30.70    (4)   ~ (all_57_21 = e2)
% 186.36/30.70  
% 186.36/30.70  Begin of proof
% 186.36/30.70  | 
% 186.36/30.70  | GROUND_INST: instantiating (1) with e2, all_57_21, e0, e2, simplifying with
% 186.36/30.70  |              (2), (3) gives:
% 186.36/30.70  |   (5)  all_57_21 = e2
% 186.36/30.70  | 
% 186.36/30.70  | REDUCE: (4), (5) imply:
% 186.36/30.70  |   (6)  $false
% 186.36/30.70  | 
% 186.36/30.70  | CLOSE: (6) is inconsistent.
% 186.36/30.70  | 
% 186.36/30.70  End of proof
% 186.36/30.70  
% 186.36/30.70  Sub-proof #1389 shows that the following formulas are inconsistent:
% 186.36/30.70  ----------------------------------------------------------------
% 186.36/30.70    (1)  all_56_9 = e2
% 186.36/30.70    (2)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 186.36/30.70    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.70    (4)  op(e3, e1) = all_52_8
% 186.36/30.70    (5)   ~ (e2 = e1)
% 186.36/30.70    (6)   ~ (all_52_8 = e1)
% 186.36/30.70  
% 186.36/30.70  Begin of proof
% 186.36/30.70  | 
% 186.36/30.70  | BETA: splitting (2) gives:
% 186.36/30.70  | 
% 186.36/30.70  | Case 1:
% 186.36/30.70  | | 
% 186.36/30.70  | |   (7)  all_56_4 = e1 & op(e3, e1) = e1
% 186.36/30.70  | | 
% 186.36/30.70  | | ALPHA: (7) implies:
% 186.36/30.70  | |   (8)  op(e3, e1) = e1
% 186.36/30.70  | | 
% 186.36/30.70  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #1611.
% 186.36/30.70  | | 
% 186.36/30.70  | Case 2:
% 186.36/30.70  | | 
% 186.36/30.70  | |   (9)  all_56_9 = e1 & op(e3, e0) = e1
% 186.36/30.70  | | 
% 186.36/30.70  | | ALPHA: (9) implies:
% 186.36/30.70  | |   (10)  all_56_9 = e1
% 186.36/30.70  | | 
% 186.36/30.70  | | REF_CLOSE: (1), (5), (10) are inconsistent by sub-proof #1503.
% 186.36/30.70  | | 
% 186.36/30.70  | End of split
% 186.36/30.70  | 
% 186.36/30.70  End of proof
% 186.36/30.70  
% 186.36/30.70  Sub-proof #1390 shows that the following formulas are inconsistent:
% 186.36/30.70  ----------------------------------------------------------------
% 186.36/30.70    (1)   ~ (e1 = e0)
% 186.36/30.70    (2)   ~ (e2 = e0)
% 186.36/30.70    (3)  all_56_14 = e2
% 186.36/30.70    (4)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.36/30.70    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.70    (6)  op(e1, e1) = e1
% 186.36/30.70  
% 186.36/30.70  Begin of proof
% 186.36/30.70  | 
% 186.36/30.70  | BETA: splitting (4) gives:
% 186.36/30.70  | 
% 186.36/30.70  | Case 1:
% 186.36/30.70  | | 
% 186.36/30.70  | |   (7)  all_56_8 = e0 & op(e1, e1) = e0
% 186.36/30.70  | | 
% 186.36/30.70  | | ALPHA: (7) implies:
% 186.36/30.70  | |   (8)  op(e1, e1) = e0
% 186.36/30.70  | | 
% 186.36/30.70  | | REF_CLOSE: (1), (5), (6), (8) are inconsistent by sub-proof #1619.
% 186.36/30.70  | | 
% 186.36/30.70  | Case 2:
% 186.36/30.70  | | 
% 186.36/30.70  | |   (9)  all_56_14 = e0 & op(e0, e1) = e0
% 186.36/30.70  | | 
% 186.36/30.70  | | ALPHA: (9) implies:
% 186.36/30.70  | |   (10)  all_56_14 = e0
% 186.36/30.70  | | 
% 186.36/30.70  | | REF_CLOSE: (2), (3), (10) are inconsistent by sub-proof #1437.
% 186.36/30.70  | | 
% 186.36/30.70  | End of split
% 186.36/30.70  | 
% 186.36/30.70  End of proof
% 186.36/30.70  
% 186.36/30.70  Sub-proof #1391 shows that the following formulas are inconsistent:
% 186.36/30.70  ----------------------------------------------------------------
% 186.36/30.70    (1)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 186.36/30.70    (2)  all_57_21 = e1
% 186.36/30.70    (3)   ~ (e1 = e0)
% 186.36/30.70  
% 186.36/30.70  Begin of proof
% 186.36/30.70  | 
% 186.36/30.70  | ALPHA: (1) implies:
% 186.36/30.70  |   (4)  all_57_21 = e0
% 186.36/30.70  | 
% 186.36/30.70  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.70  |   (5)  e1 = e0
% 186.36/30.70  | 
% 186.36/30.70  | REDUCE: (3), (5) imply:
% 186.36/30.70  |   (6)  $false
% 186.36/30.70  | 
% 186.36/30.70  | CLOSE: (6) is inconsistent.
% 186.36/30.70  | 
% 186.36/30.70  End of proof
% 186.36/30.70  
% 186.36/30.70  Sub-proof #1392 shows that the following formulas are inconsistent:
% 186.36/30.70  ----------------------------------------------------------------
% 186.36/30.70    (1)   ~ (e2 = e0)
% 186.36/30.70    (2)  all_56_9 = e0
% 186.36/30.70    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.70           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.70    (4)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2) |
% 186.36/30.70         (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.36/30.70    (5)   ~ (e3 = e2)
% 186.36/30.70    (6)  all_56_1 = e1
% 186.36/30.70    (7)  all_56_4 = e0
% 186.36/30.70    (8)  op(e3, e3) = e3
% 186.36/30.70    (9)   ~ (e2 = e1)
% 186.36/30.70  
% 186.36/30.70  Begin of proof
% 186.36/30.70  | 
% 186.36/30.70  | BETA: splitting (4) gives:
% 186.36/30.70  | 
% 186.36/30.70  | Case 1:
% 186.36/30.70  | | 
% 186.36/30.70  | |   (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) =
% 186.36/30.70  | |           e2)
% 186.36/30.70  | | 
% 186.36/30.70  | | REF_CLOSE: (3), (5), (6), (8), (9), (10) are inconsistent by sub-proof
% 186.36/30.70  | |            #1395.
% 186.36/30.70  | | 
% 186.36/30.70  | Case 2:
% 186.36/30.70  | | 
% 186.36/30.70  | |   (11)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 186.36/30.70  | |           e2)
% 186.36/30.70  | | 
% 186.36/30.70  | | REF_CLOSE: (1), (2), (7), (11) are inconsistent by sub-proof #1393.
% 186.36/30.70  | | 
% 186.36/30.70  | End of split
% 186.36/30.70  | 
% 186.36/30.70  End of proof
% 186.36/30.70  
% 186.36/30.70  Sub-proof #1393 shows that the following formulas are inconsistent:
% 186.36/30.70  ----------------------------------------------------------------
% 186.36/30.70    (1)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)
% 186.36/30.70    (2)  all_56_4 = e0
% 186.36/30.70    (3)   ~ (e2 = e0)
% 186.36/30.70    (4)  all_56_9 = e0
% 186.36/30.70  
% 186.36/30.70  Begin of proof
% 186.36/30.70  | 
% 186.36/30.70  | BETA: splitting (1) gives:
% 186.36/30.70  | 
% 186.36/30.70  | Case 1:
% 186.36/30.70  | | 
% 186.36/30.70  | |   (5)  all_56_4 = e2 & op(e3, e1) = e2
% 186.36/30.70  | | 
% 186.36/30.70  | | ALPHA: (5) implies:
% 186.36/30.70  | |   (6)  all_56_4 = e2
% 186.36/30.70  | | 
% 186.36/30.70  | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #1394.
% 186.36/30.70  | | 
% 186.36/30.70  | Case 2:
% 186.36/30.70  | | 
% 186.36/30.70  | |   (7)  all_56_9 = e2 & op(e3, e0) = e2
% 186.36/30.70  | | 
% 186.36/30.70  | | ALPHA: (7) implies:
% 186.36/30.70  | |   (8)  all_56_9 = e2
% 186.36/30.70  | | 
% 186.36/30.70  | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #1570.
% 186.36/30.70  | | 
% 186.36/30.70  | End of split
% 186.36/30.70  | 
% 186.36/30.70  End of proof
% 186.36/30.70  
% 186.36/30.70  Sub-proof #1394 shows that the following formulas are inconsistent:
% 186.36/30.70  ----------------------------------------------------------------
% 186.36/30.70    (1)  all_56_4 = e2
% 186.36/30.71    (2)  all_56_4 = e0
% 186.36/30.71    (3)   ~ (e2 = e0)
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.71  |   (4)  e2 = e0
% 186.36/30.71  | 
% 186.36/30.71  | SIMP: (4) implies:
% 186.36/30.71  |   (5)  e2 = e0
% 186.36/30.71  | 
% 186.36/30.71  | REDUCE: (3), (5) imply:
% 186.36/30.71  |   (6)  $false
% 186.36/30.71  | 
% 186.36/30.71  | CLOSE: (6) is inconsistent.
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1395 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.71    (2)   ~ (e3 = e2)
% 186.36/30.71    (3)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 186.36/30.71    (4)  all_56_1 = e1
% 186.36/30.71    (5)  op(e3, e3) = e3
% 186.36/30.71    (6)   ~ (e2 = e1)
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | BETA: splitting (3) gives:
% 186.36/30.71  | 
% 186.36/30.71  | Case 1:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (7)  all_56_0 = e2 & op(e3, e3) = e2
% 186.36/30.71  | | 
% 186.36/30.71  | | ALPHA: (7) implies:
% 186.36/30.71  | |   (8)  op(e3, e3) = e2
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (1), (2), (5), (8) are inconsistent by sub-proof #1594.
% 186.36/30.71  | | 
% 186.36/30.71  | Case 2:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (9)  all_56_1 = e2 & op(e3, e2) = e2
% 186.36/30.71  | | 
% 186.36/30.71  | | ALPHA: (9) implies:
% 186.36/30.71  | |   (10)  all_56_1 = e2
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (4), (6), (10) are inconsistent by sub-proof #1396.
% 186.36/30.71  | | 
% 186.36/30.71  | End of split
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1396 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)  all_56_1 = e2
% 186.36/30.71    (2)  all_56_1 = e1
% 186.36/30.71    (3)   ~ (e2 = e1)
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.71  |   (4)  e2 = e1
% 186.36/30.71  | 
% 186.36/30.71  | SIMP: (4) implies:
% 186.36/30.71  |   (5)  e2 = e1
% 186.36/30.71  | 
% 186.36/30.71  | REDUCE: (3), (5) imply:
% 186.36/30.71  |   (6)  $false
% 186.36/30.71  | 
% 186.36/30.71  | CLOSE: (6) is inconsistent.
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1397 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.36/30.71    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.71    (3)  all_56_12 = e1
% 186.36/30.71    (4)   ~ (all_52_7 = e2)
% 186.36/30.71    (5)   ~ (e2 = e1)
% 186.36/30.71    (6)  op(e0, e2) = all_52_7
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | BETA: splitting (1) gives:
% 186.36/30.71  | 
% 186.36/30.71  | Case 1:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (7)  all_56_12 = e2 & op(e0, e3) = e2
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (3), (5), (7) are inconsistent by sub-proof #1591.
% 186.36/30.71  | | 
% 186.36/30.71  | Case 2:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (8)  all_56_13 = e2 & op(e0, e2) = e2
% 186.36/30.71  | | 
% 186.36/30.71  | | ALPHA: (8) implies:
% 186.36/30.71  | |   (9)  op(e0, e2) = e2
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (2), (4), (6), (9) are inconsistent by sub-proof #1613.
% 186.36/30.71  | | 
% 186.36/30.71  | End of split
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1398 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)  all_56_9 = e2
% 186.36/30.71    (2)   ~ (all_4_2 = e0)
% 186.36/30.71    (3)   ~ (e1 = e0)
% 186.36/30.71    (4)   ~ (e3 = e0)
% 186.36/30.71    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.36/30.71         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.36/30.71    (6)   ~ (e2 = e0)
% 186.36/30.71    (7)   ~ (e3 = e1)
% 186.36/30.71    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.71    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.36/30.71         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.36/30.71    (10)   ~ (e3 = e2)
% 186.36/30.71    (11)  op(e3, e3) = e1
% 186.36/30.71    (12)  op(e3, e1) = all_52_8
% 186.36/30.71    (13)  op(e3, e3) = all_4_2
% 186.36/30.71    (14)  all_56_1 = e1
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | BETA: splitting (5) gives:
% 186.36/30.71  | 
% 186.36/30.71  | Case 1:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (15)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 186.36/30.71  | |           e0)
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (2), (3), (8), (13), (14), (15) are inconsistent by sub-proof
% 186.36/30.71  | |            #1580.
% 186.36/30.71  | | 
% 186.36/30.71  | Case 2:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (16)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 186.36/30.71  | |           e0)
% 186.36/30.71  | | 
% 186.36/30.71  | | BETA: splitting (16) gives:
% 186.36/30.71  | | 
% 186.36/30.71  | | Case 1:
% 186.36/30.71  | | | 
% 186.36/30.71  | | |   (17)  all_56_4 = e0 & op(e3, e1) = e0
% 186.36/30.71  | | | 
% 186.36/30.71  | | | ALPHA: (17) implies:
% 186.36/30.71  | | |   (18)  op(e3, e1) = e0
% 186.36/30.71  | | | 
% 186.36/30.71  | | | REF_CLOSE: (1), (4), (7), (8), (9), (10), (11), (12), (14), (18) are
% 186.36/30.71  | | |            inconsistent by sub-proof #1399.
% 186.36/30.71  | | | 
% 186.36/30.71  | | Case 2:
% 186.36/30.71  | | | 
% 186.36/30.71  | | |   (19)  all_56_9 = e0 & op(e3, e0) = e0
% 186.36/30.71  | | | 
% 186.36/30.71  | | | REF_CLOSE: (1), (6), (19) are inconsistent by sub-proof #1574.
% 186.36/30.71  | | | 
% 186.36/30.71  | | End of split
% 186.36/30.71  | | 
% 186.36/30.71  | End of split
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1399 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)  all_56_9 = e2
% 186.36/30.71    (2)   ~ (e3 = e0)
% 186.36/30.71    (3)   ~ (e3 = e1)
% 186.36/30.71    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.71    (5)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.36/30.71         (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.36/30.71    (6)   ~ (e3 = e2)
% 186.36/30.71    (7)  op(e3, e3) = e1
% 186.36/30.71    (8)  op(e3, e1) = e0
% 186.36/30.71    (9)  op(e3, e1) = all_52_8
% 186.36/30.71    (10)  all_56_1 = e1
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | BETA: splitting (5) gives:
% 186.36/30.71  | 
% 186.36/30.71  | Case 1:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (11)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 186.36/30.71  | |           e3)
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (3), (4), (7), (10), (11) are inconsistent by sub-proof #1402.
% 186.36/30.71  | | 
% 186.36/30.71  | Case 2:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (12)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 186.36/30.71  | |           e3)
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (1), (2), (4), (6), (8), (9), (12) are inconsistent by sub-proof
% 186.36/30.71  | |            #1400.
% 186.36/30.71  | | 
% 186.36/30.71  | End of split
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1400 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)  all_56_9 = e2
% 186.36/30.71    (2)   ~ (e3 = e0)
% 186.36/30.71    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.71    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.36/30.71    (5)   ~ (e3 = e2)
% 186.36/30.71    (6)  op(e3, e1) = e0
% 186.36/30.71    (7)  op(e3, e1) = all_52_8
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | BETA: splitting (4) gives:
% 186.36/30.71  | 
% 186.36/30.71  | Case 1:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (8)  all_56_4 = e3 & op(e3, e1) = e3
% 186.36/30.71  | | 
% 186.36/30.71  | | ALPHA: (8) implies:
% 186.36/30.71  | |   (9)  op(e3, e1) = e3
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (2), (3), (6), (7), (9) are inconsistent by sub-proof #1577.
% 186.36/30.71  | | 
% 186.36/30.71  | Case 2:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (10)  all_56_9 = e3 & op(e3, e0) = e3
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (1), (5), (10) are inconsistent by sub-proof #1401.
% 186.36/30.71  | | 
% 186.36/30.71  | End of split
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1401 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)  all_56_9 = e3 & op(e3, e0) = e3
% 186.36/30.71    (2)  all_56_9 = e2
% 186.36/30.71    (3)   ~ (e3 = e2)
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | ALPHA: (1) implies:
% 186.36/30.71  |   (4)  all_56_9 = e3
% 186.36/30.71  | 
% 186.36/30.71  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.71  |   (5)  e3 = e2
% 186.36/30.71  | 
% 186.36/30.71  | REDUCE: (3), (5) imply:
% 186.36/30.71  |   (6)  $false
% 186.36/30.71  | 
% 186.36/30.71  | CLOSE: (6) is inconsistent.
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1402 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)   ~ (e3 = e1)
% 186.36/30.71    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.71    (3)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 186.36/30.71    (4)  op(e3, e3) = e1
% 186.36/30.71    (5)  all_56_1 = e1
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | BETA: splitting (3) gives:
% 186.36/30.71  | 
% 186.36/30.71  | Case 1:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (6)  all_56_0 = e3 & op(e3, e3) = e3
% 186.36/30.71  | | 
% 186.36/30.71  | | ALPHA: (6) implies:
% 186.36/30.71  | |   (7)  op(e3, e3) = e3
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #1600.
% 186.36/30.71  | | 
% 186.36/30.71  | Case 2:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (8)  all_56_1 = e3 & op(e3, e2) = e3
% 186.36/30.71  | | 
% 186.36/30.71  | | ALPHA: (8) implies:
% 186.36/30.71  | |   (9)  all_56_1 = e3
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (1), (5), (9) are inconsistent by sub-proof #1403.
% 186.36/30.71  | | 
% 186.36/30.71  | End of split
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1403 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)  all_56_1 = e3
% 186.36/30.71    (2)  all_56_1 = e1
% 186.36/30.71    (3)   ~ (e3 = e1)
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.71  |   (4)  e3 = e1
% 186.36/30.71  | 
% 186.36/30.71  | SIMP: (4) implies:
% 186.36/30.71  |   (5)  e3 = e1
% 186.36/30.71  | 
% 186.36/30.71  | REDUCE: (3), (5) imply:
% 186.36/30.71  |   (6)  $false
% 186.36/30.71  | 
% 186.36/30.71  | CLOSE: (6) is inconsistent.
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1404 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)   ~ (e1 = e0)
% 186.36/30.71    (2)  all_56_2 = e0
% 186.36/30.71    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.71    (4)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 186.36/30.71    (5)   ~ (e2 = e1)
% 186.36/30.71    (6)  op(e2, e2) = e2
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | BETA: splitting (4) gives:
% 186.36/30.71  | 
% 186.36/30.71  | Case 1:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (7)  all_56_2 = e1 & op(e2, e3) = e1
% 186.36/30.71  | | 
% 186.36/30.71  | | ALPHA: (7) implies:
% 186.36/30.71  | |   (8)  all_56_2 = e1
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (1), (2), (8) are inconsistent by sub-proof #1535.
% 186.36/30.71  | | 
% 186.36/30.71  | Case 2:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (9)  all_56_3 = e1 & op(e2, e2) = e1
% 186.36/30.71  | | 
% 186.36/30.71  | | ALPHA: (9) implies:
% 186.36/30.71  | |   (10)  op(e2, e2) = e1
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (3), (5), (6), (10) are inconsistent by sub-proof #1487.
% 186.36/30.71  | | 
% 186.36/30.71  | End of split
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1405 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)  all_57_31 = e3
% 186.36/30.71    (2)  op(e1, e0) = all_52_14
% 186.36/30.71    (3)  e3 = e0
% 186.36/30.71    (4)   ~ (all_52_14 = e1)
% 186.36/30.71    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.71    (6)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 =
% 186.36/30.71             e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0)
% 186.36/30.71           & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 186.36/30.71             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.36/30.71           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 186.36/30.71           $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 186.36/30.71           $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 186.36/30.71           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 186.36/30.71           & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 186.36/30.71           op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 186.36/30.71           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 186.36/30.71           $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 186.36/30.71           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.36/30.71               op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 186.36/30.71               e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | SIMP: (3) implies:
% 186.36/30.71  |   (7)  e3 = e0
% 186.36/30.71  | 
% 186.36/30.71  | COMBINE_EQS: (1), (7) imply:
% 186.36/30.71  |   (8)  all_57_31 = e0
% 186.36/30.71  | 
% 186.36/30.71  | REF_CLOSE: (2), (4), (5), (6), (8) are inconsistent by sub-proof #1583.
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1406 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)   ~ (e1 = e0)
% 186.36/30.71    (2)  all_56_2 = e2
% 186.36/30.71    (3)   ~ (e3 = e0)
% 186.36/30.71    (4)  op(e2, e1) = all_52_9
% 186.36/30.71    (5)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 186.36/30.71         (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 186.36/30.71    (6)   ~ (e2 = e0)
% 186.36/30.71    (7)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.36/30.71         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 186.36/30.71    (8)   ~ (e3 = e1)
% 186.36/30.71    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.71    (10)  op(e2, e3) = e2
% 186.36/30.71    (11)   ~ (e3 = e2)
% 186.36/30.71    (12)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 186.36/30.71          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 186.36/30.71    (13)   ~ (e2 = e1)
% 186.36/30.71    (14)   ~ (all_52_9 = e1)
% 186.36/30.71    (15)  op(e2, e2) = e2
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | BETA: splitting (5) gives:
% 186.36/30.71  | 
% 186.36/30.71  | Case 1:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (16)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) =
% 186.36/30.71  | |           e1)
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (2), (9), (13), (15), (16) are inconsistent by sub-proof #1415.
% 186.36/30.71  | | 
% 186.36/30.71  | Case 2:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (17)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 186.36/30.71  | |           e1)
% 186.36/30.71  | | 
% 186.36/30.71  | | BETA: splitting (17) gives:
% 186.36/30.71  | | 
% 186.36/30.71  | | Case 1:
% 186.36/30.71  | | | 
% 186.36/30.71  | | |   (18)  all_56_5 = e1 & op(e2, e1) = e1
% 186.36/30.71  | | | 
% 186.36/30.71  | | | ALPHA: (18) implies:
% 186.36/30.71  | | |   (19)  op(e2, e1) = e1
% 186.36/30.71  | | | 
% 186.36/30.71  | | | REF_CLOSE: (4), (9), (14), (19) are inconsistent by sub-proof #1610.
% 186.36/30.71  | | | 
% 186.36/30.71  | | Case 2:
% 186.36/30.71  | | | 
% 186.36/30.71  | | |   (20)  all_56_10 = e1 & op(e2, e0) = e1
% 186.36/30.71  | | | 
% 186.36/30.71  | | | ALPHA: (20) implies:
% 186.36/30.71  | | |   (21)  all_56_10 = e1
% 186.36/30.71  | | | 
% 186.36/30.71  | | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (10), (11), (12), (15), (21)
% 186.36/30.71  | | |            are inconsistent by sub-proof #1407.
% 186.36/30.71  | | | 
% 186.36/30.71  | | End of split
% 186.36/30.71  | | 
% 186.36/30.71  | End of split
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1407 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)   ~ (e1 = e0)
% 186.36/30.71    (2)  all_56_2 = e2
% 186.36/30.71    (3)   ~ (e3 = e0)
% 186.36/30.71    (4)   ~ (e2 = e0)
% 186.36/30.71    (5)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.36/30.71         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 186.36/30.71    (6)   ~ (e3 = e1)
% 186.36/30.71    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.71    (8)  op(e2, e3) = e2
% 186.36/30.71    (9)   ~ (e3 = e2)
% 186.36/30.71    (10)  all_56_10 = e1
% 186.36/30.71    (11)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 186.36/30.71          (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) = e3)
% 186.36/30.71    (12)  op(e2, e2) = e2
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | BETA: splitting (11) gives:
% 186.36/30.71  | 
% 186.36/30.71  | Case 1:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (13)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 186.36/30.71  | |           e3)
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (2), (7), (9), (12), (13) are inconsistent by sub-proof #1413.
% 186.36/30.71  | | 
% 186.36/30.71  | Case 2:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (14)  (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 186.36/30.71  | |           e3)
% 186.36/30.71  | | 
% 186.36/30.71  | | BETA: splitting (14) gives:
% 186.36/30.71  | | 
% 186.36/30.71  | | Case 1:
% 186.36/30.71  | | | 
% 186.36/30.71  | | |   (15)  all_56_5 = e3 & op(e2, e1) = e3
% 186.36/30.71  | | | 
% 186.36/30.71  | | | ALPHA: (15) implies:
% 186.36/30.71  | | |   (16)  all_56_5 = e3
% 186.36/30.71  | | | 
% 186.36/30.71  | | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (10), (12), (16) are inconsistent
% 186.36/30.71  | | |            by sub-proof #1408.
% 186.36/30.71  | | | 
% 186.36/30.71  | | Case 2:
% 186.36/30.71  | | | 
% 186.36/30.71  | | |   (17)  all_56_10 = e3 & op(e2, e0) = e3
% 186.36/30.71  | | | 
% 186.36/30.71  | | | ALPHA: (17) implies:
% 186.36/30.71  | | |   (18)  all_56_10 = e3
% 186.36/30.71  | | | 
% 186.36/30.71  | | | REF_CLOSE: (6), (10), (18) are inconsistent by sub-proof #1489.
% 186.36/30.71  | | | 
% 186.36/30.71  | | End of split
% 186.36/30.71  | | 
% 186.36/30.71  | End of split
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1408 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)   ~ (e1 = e0)
% 186.36/30.71    (2)   ~ (e3 = e0)
% 186.36/30.71    (3)  all_56_5 = e3
% 186.36/30.71    (4)   ~ (e2 = e0)
% 186.36/30.71    (5)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.36/30.71         (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) = e0)
% 186.36/30.71    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.71    (7)  op(e2, e3) = e2
% 186.36/30.71    (8)  all_56_10 = e1
% 186.36/30.71    (9)  op(e2, e2) = e2
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | BETA: splitting (5) gives:
% 186.36/30.71  | 
% 186.36/30.71  | Case 1:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (10)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 186.36/30.71  | |           e0)
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (4), (6), (7), (9), (10) are inconsistent by sub-proof #1411.
% 186.36/30.71  | | 
% 186.36/30.71  | Case 2:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (11)  (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 186.36/30.71  | |           e0)
% 186.36/30.71  | | 
% 186.36/30.71  | | BETA: splitting (11) gives:
% 186.36/30.71  | | 
% 186.36/30.71  | | Case 1:
% 186.36/30.71  | | | 
% 186.36/30.71  | | |   (12)  all_56_5 = e0 & op(e2, e1) = e0
% 186.36/30.71  | | | 
% 186.36/30.71  | | | ALPHA: (12) implies:
% 186.36/30.71  | | |   (13)  all_56_5 = e0
% 186.36/30.71  | | | 
% 186.36/30.71  | | | REF_CLOSE: (2), (3), (13) are inconsistent by sub-proof #1410.
% 186.36/30.71  | | | 
% 186.36/30.71  | | Case 2:
% 186.36/30.71  | | | 
% 186.36/30.71  | | |   (14)  all_56_10 = e0 & op(e2, e0) = e0
% 186.36/30.71  | | | 
% 186.36/30.71  | | | REF_CLOSE: (1), (8), (14) are inconsistent by sub-proof #1409.
% 186.36/30.71  | | | 
% 186.36/30.71  | | End of split
% 186.36/30.71  | | 
% 186.36/30.71  | End of split
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1409 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)  all_56_10 = e0 & op(e2, e0) = e0
% 186.36/30.71    (2)  all_56_10 = e1
% 186.36/30.71    (3)   ~ (e1 = e0)
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | ALPHA: (1) implies:
% 186.36/30.71  |   (4)  all_56_10 = e0
% 186.36/30.71  | 
% 186.36/30.71  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.71  |   (5)  e1 = e0
% 186.36/30.71  | 
% 186.36/30.71  | REDUCE: (3), (5) imply:
% 186.36/30.71  |   (6)  $false
% 186.36/30.71  | 
% 186.36/30.71  | CLOSE: (6) is inconsistent.
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1410 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)  all_56_5 = e3
% 186.36/30.71    (2)  all_56_5 = e0
% 186.36/30.71    (3)   ~ (e3 = e0)
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.71  |   (4)  e3 = e0
% 186.36/30.71  | 
% 186.36/30.71  | SIMP: (4) implies:
% 186.36/30.71  |   (5)  e3 = e0
% 186.36/30.71  | 
% 186.36/30.71  | REDUCE: (3), (5) imply:
% 186.36/30.71  |   (6)  $false
% 186.36/30.71  | 
% 186.36/30.71  | CLOSE: (6) is inconsistent.
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1411 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)   ~ (e2 = e0)
% 186.36/30.71    (2)  (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 186.36/30.71    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.71    (4)  op(e2, e3) = e2
% 186.36/30.71    (5)  op(e2, e2) = e2
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | BETA: splitting (2) gives:
% 186.36/30.71  | 
% 186.36/30.71  | Case 1:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (6)  all_56_2 = e0 & op(e2, e3) = e0
% 186.36/30.71  | | 
% 186.36/30.71  | | ALPHA: (6) implies:
% 186.36/30.71  | |   (7)  op(e2, e3) = e0
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (1), (3), (4), (7) are inconsistent by sub-proof #1412.
% 186.36/30.71  | | 
% 186.36/30.71  | Case 2:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (8)  all_56_3 = e0 & op(e2, e2) = e0
% 186.36/30.71  | | 
% 186.36/30.71  | | ALPHA: (8) implies:
% 186.36/30.71  | |   (9)  op(e2, e2) = e0
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #1586.
% 186.36/30.71  | | 
% 186.36/30.71  | End of split
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1412 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.71    (2)  op(e2, e3) = e2
% 186.36/30.71    (3)  op(e2, e3) = e0
% 186.36/30.71    (4)   ~ (e2 = e0)
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | GROUND_INST: instantiating (1) with e0, e2, e3, e2, simplifying with (2), (3)
% 186.36/30.71  |              gives:
% 186.36/30.71  |   (5)  e2 = e0
% 186.36/30.71  | 
% 186.36/30.71  | REDUCE: (4), (5) imply:
% 186.36/30.71  |   (6)  $false
% 186.36/30.71  | 
% 186.36/30.71  | CLOSE: (6) is inconsistent.
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1413 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)  (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 186.36/30.71    (2)  all_56_2 = e2
% 186.36/30.71    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.71    (4)   ~ (e3 = e2)
% 186.36/30.71    (5)  op(e2, e2) = e2
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | BETA: splitting (1) gives:
% 186.36/30.71  | 
% 186.36/30.71  | Case 1:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (6)  all_56_2 = e3 & op(e2, e3) = e3
% 186.36/30.71  | | 
% 186.36/30.71  | | ALPHA: (6) implies:
% 186.36/30.71  | |   (7)  all_56_2 = e3
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (2), (4), (7) are inconsistent by sub-proof #1414.
% 186.36/30.71  | | 
% 186.36/30.71  | Case 2:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (8)  all_56_3 = e3 & op(e2, e2) = e3
% 186.36/30.71  | | 
% 186.36/30.71  | | ALPHA: (8) implies:
% 186.36/30.71  | |   (9)  op(e2, e2) = e3
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #1602.
% 186.36/30.71  | | 
% 186.36/30.71  | End of split
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1414 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)  all_56_2 = e3
% 186.36/30.71    (2)  all_56_2 = e2
% 186.36/30.71    (3)   ~ (e3 = e2)
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.71  |   (4)  e3 = e2
% 186.36/30.71  | 
% 186.36/30.71  | SIMP: (4) implies:
% 186.36/30.71  |   (5)  e3 = e2
% 186.36/30.71  | 
% 186.36/30.71  | REDUCE: (3), (5) imply:
% 186.36/30.71  |   (6)  $false
% 186.36/30.71  | 
% 186.36/30.71  | CLOSE: (6) is inconsistent.
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1415 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)  all_56_2 = e2
% 186.36/30.71    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.71           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.71    (3)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 186.36/30.71    (4)   ~ (e2 = e1)
% 186.36/30.71    (5)  op(e2, e2) = e2
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | BETA: splitting (3) gives:
% 186.36/30.71  | 
% 186.36/30.71  | Case 1:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (6)  all_56_2 = e1 & op(e2, e3) = e1
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #1416.
% 186.36/30.71  | | 
% 186.36/30.71  | Case 2:
% 186.36/30.71  | | 
% 186.36/30.71  | |   (7)  all_56_3 = e1 & op(e2, e2) = e1
% 186.36/30.71  | | 
% 186.36/30.71  | | ALPHA: (7) implies:
% 186.36/30.71  | |   (8)  op(e2, e2) = e1
% 186.36/30.71  | | 
% 186.36/30.71  | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #1487.
% 186.36/30.71  | | 
% 186.36/30.71  | End of split
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1416 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)  all_56_2 = e1 & op(e2, e3) = e1
% 186.36/30.71    (2)  all_56_2 = e2
% 186.36/30.71    (3)   ~ (e2 = e1)
% 186.36/30.71  
% 186.36/30.71  Begin of proof
% 186.36/30.71  | 
% 186.36/30.71  | ALPHA: (1) implies:
% 186.36/30.71  |   (4)  all_56_2 = e1
% 186.36/30.71  | 
% 186.36/30.71  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.71  |   (5)  e2 = e1
% 186.36/30.71  | 
% 186.36/30.71  | REDUCE: (3), (5) imply:
% 186.36/30.71  |   (6)  $false
% 186.36/30.71  | 
% 186.36/30.71  | CLOSE: (6) is inconsistent.
% 186.36/30.71  | 
% 186.36/30.71  End of proof
% 186.36/30.71  
% 186.36/30.71  Sub-proof #1417 shows that the following formulas are inconsistent:
% 186.36/30.71  ----------------------------------------------------------------
% 186.36/30.71    (1)  all_54_6 = all_52_9
% 186.36/30.71    (2)   ~ (all_52_8 = all_52_11)
% 186.36/30.71    (3)  op(e0, e0) = all_6_2
% 186.36/30.71    (4)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 186.36/30.71    (5)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3) |
% 186.36/30.71         (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) = e3) |
% 186.36/30.71         ( ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 & $i(all_57_19))
% 186.36/30.71    (6)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 186.36/30.71    (7)   ~ (all_32_2 = e3) | ( ~ (all_32_0 = e2) & op(e3, e3) = all_32_0 &
% 186.36/30.71           $i(all_32_0)) | ( ~ (all_32_1 = e1) & op(e3, e0) = all_32_1 &
% 186.36/30.71           $i(all_32_1))
% 186.36/30.71    (8)   ~ (all_4_2 = e0)
% 186.36/30.71    (9)   ~ (all_52_11 = e1)
% 186.36/30.71    (10)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 186.36/30.71          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.36/30.71    (11)   ~ (all_6_2 = e1)
% 186.36/30.71    (12)   ~ (all_52_8 = all_14_2)
% 186.36/30.71    (13)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 186.36/30.71          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.36/30.71    (14)   ~ (all_52_6 = all_52_14)
% 186.36/30.71    (15)   ~ (e1 = e0)
% 186.36/30.71    (16)  op(e1, e3) = all_52_2
% 186.36/30.71    (17)  op(e1, e0) = all_52_14
% 186.36/30.71    (18)  all_54_15 = all_6_2
% 186.36/30.71    (19)  op(e1, e1) = all_14_2
% 186.36/30.71    (20)   ~ (e3 = e0)
% 186.36/30.71    (21)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 186.36/30.71          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.36/30.71    (22)  op(e0, e1) = all_52_11
% 186.36/30.71    (23)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.36/30.71          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.36/30.71    (24)   ~ (all_52_13 = all_6_2)
% 186.36/30.71    (25)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.36/30.71          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.36/30.71    (26)  op(e2, e1) = all_52_9
% 186.36/30.71    (27)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.36/30.71          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.36/30.71    (28)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 186.36/30.71          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 186.36/30.71    (29)   ~ (all_52_14 = e1)
% 186.36/30.71    (30)  op(e3, e0) = all_52_12
% 186.36/30.71    (31)   ~ (e2 = e0)
% 186.36/30.71    (32)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 186.36/30.71          | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 186.36/30.71            e3) | ( ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 & $i(all_57_28))
% 186.36/30.71    (33)   ~ (all_52_12 = all_52_13)
% 186.36/30.71    (34)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.36/30.71          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.36/30.71    (35)   ~ (e3 = e1)
% 186.36/30.71    (36)  op(e3, e3) = e2
% 186.36/30.71    (37)   ~ (all_6_2 = e2)
% 186.36/30.71    (38)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 186.36/30.71          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.36/30.71    (39)   ~ (all_52_12 = all_52_14)
% 186.36/30.71    (40)  op(e2, e3) = all_52_1
% 186.36/30.71    (41)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 186.36/30.71    (42)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 186.36/30.71          | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 186.36/30.71            e3) | ( ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 & $i(all_57_22))
% 186.36/30.71    (43)  op(e0, e3) = all_52_3
% 186.36/30.71    (44)   ~ (all_52_4 = all_52_8)
% 186.36/30.71    (45)  all_54_10 = all_14_2
% 186.36/30.71    (46)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.71            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.71    (47)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 186.36/30.71          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.36/30.71    (48)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 186.36/30.71    (49)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 186.36/30.71          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 186.36/30.71            e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 & $i(all_57_24))
% 186.36/30.71    (50)  all_57_31 = all_6_2
% 186.36/30.72    (51)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 186.36/30.72          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 186.36/30.72    (52)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 186.36/30.72              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 186.36/30.72            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.36/30.72              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.36/30.72            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 186.36/30.72            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 186.36/30.72            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 186.36/30.72            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 186.36/30.72            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 186.36/30.72            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.36/30.72              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 186.36/30.72              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.36/30.72            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 186.36/30.72          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 186.36/30.72              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 186.36/30.72            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 186.36/30.72              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 186.36/30.72            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 186.36/30.72            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 186.36/30.72            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 186.36/30.72            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 186.36/30.72            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.36/30.72              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 186.36/30.72              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 186.36/30.72            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 186.36/30.72            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 186.36/30.72            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 186.36/30.72            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 186.36/30.72            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 186.36/30.72            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 186.36/30.72            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.36/30.72            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 186.36/30.72            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 186.36/30.72            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 186.36/30.72              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 186.36/30.72            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 186.36/30.72            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 186.36/30.72              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 186.36/30.72            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 186.36/30.72            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 186.36/30.72            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 186.36/30.72            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.72            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 186.36/30.72              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 186.36/30.72              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 186.36/30.72            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 186.36/30.72            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 186.36/30.72              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 186.36/30.72            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 186.36/30.72            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.36/30.72            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 186.36/30.72            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 186.36/30.72            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 186.36/30.72                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 186.36/30.72                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 186.36/30.72                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.72                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 186.36/30.72                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 186.36/30.72                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.36/30.72                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.36/30.72                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 186.36/30.72                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.36/30.72                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 186.36/30.72                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 186.36/30.72                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.36/30.72                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.36/30.72                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 186.36/30.72                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.36/30.72                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 186.36/30.72    (53)   ~ (all_52_8 = all_52_12)
% 186.36/30.72    (54)  all_32_2 = all_6_2
% 186.36/30.72    (55)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 186.36/30.72          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 186.36/30.72            e0) | ( ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 & $i(all_57_21))
% 186.36/30.72    (56)   ~ (all_14_2 = e3)
% 186.36/30.72    (57)   ~ (all_52_9 = all_52_11)
% 186.36/30.72    (58)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.36/30.72          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.36/30.72    (59)   ~ (all_52_8 = all_52_9)
% 186.36/30.72    (60)   ~ (all_52_7 = all_6_2)
% 186.36/30.72    (61)  all_56_0 = e2
% 186.36/30.72    (62)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.36/30.72          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.36/30.72            e1)
% 186.36/30.72    (63)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.36/30.72          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 186.36/30.72    (64)  op(e2, e0) = all_52_13
% 186.36/30.72    (65)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 186.36/30.72          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.36/30.72    (66)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 186.36/30.72    (67)   ~ (e3 = e2)
% 186.36/30.72    (68)   ~ (all_52_12 = all_6_2)
% 186.36/30.72    (69)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 186.36/30.72          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 186.36/30.72    (70)  all_54_2 = all_52_8
% 186.36/30.72    (71)   ~ (all_14_2 = e2)
% 186.36/30.72    (72)  op(e3, e1) = all_52_8
% 186.36/30.72    (73)  op(e3, e3) = all_4_2
% 186.36/30.72    (74)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 186.36/30.72          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 186.36/30.72    (75)   ~ (all_52_14 = all_6_2)
% 186.36/30.72    (76)  op(e3, e2) = all_52_4
% 186.36/30.72    (77)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 186.36/30.72          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 186.36/30.72            e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 & $i(all_57_18))
% 186.36/30.72    (78)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.36/30.72          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.36/30.72            e3)
% 186.36/30.72    (79)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 186.36/30.72          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.36/30.72    (80)  op(e1, e2) = all_52_6
% 186.36/30.72    (81)   ~ (all_52_7 = e2)
% 186.36/30.72    (82)   ~ (all_52_13 = e2)
% 186.36/30.72    (83)   ~ (e2 = e1)
% 186.36/30.72    (84)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.36/30.72          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.36/30.72            e2)
% 186.36/30.72    (85)  all_54_3 = all_52_12
% 186.36/30.72    (86)  op(e0, e2) = all_52_7
% 186.36/30.72    (87)   ~ (all_52_9 = e1)
% 186.36/30.72    (88)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.36/30.72              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.36/30.72                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.36/30.72                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.36/30.72    (89)   ~ (all_52_2 = all_52_14)
% 186.36/30.72    (90)   ~ (all_52_3 = all_52_11)
% 186.36/30.72    (91)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 186.36/30.72          | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 186.36/30.72            e3) | ( ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 & $i(all_57_25))
% 186.36/30.72    (92)  op(e2, e2) = e2
% 186.36/30.72    (93)   ~ (all_52_8 = e1)
% 186.36/30.72    (94)   ~ (all_4_2 = e1)
% 186.36/30.72    (95)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.36/30.72          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.36/30.72    (96)   ~ (all_52_7 = all_52_11)
% 186.36/30.72    (97)  op(e1, e1) = e1
% 186.36/30.72  
% 186.36/30.72  Begin of proof
% 186.36/30.72  | 
% 186.36/30.72  | BETA: splitting (65) gives:
% 186.36/30.72  | 
% 186.36/30.72  | Case 1:
% 186.36/30.72  | | 
% 186.36/30.72  | |   (98)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 186.36/30.72  | |           e2)
% 186.36/30.72  | | 
% 186.36/30.72  | | REF_CLOSE: (8), (15), (20), (23), (31), (35), (36), (46), (51), (58), (64),
% 186.36/30.72  | |            (67), (72), (73), (82), (83), (98) are inconsistent by sub-proof
% 186.36/30.72  | |            #1561.
% 186.36/30.72  | | 
% 186.36/30.72  | Case 2:
% 186.36/30.72  | | 
% 186.36/30.72  | |   (99)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.36/30.72  | |           e2)
% 186.36/30.72  | | 
% 186.36/30.72  | | BETA: splitting (99) gives:
% 186.36/30.72  | | 
% 186.36/30.72  | | Case 1:
% 186.36/30.72  | | | 
% 186.36/30.72  | | |   (100)  all_56_11 = e2 & op(e1, e0) = e2
% 186.36/30.72  | | | 
% 186.36/30.72  | | | ALPHA: (100) implies:
% 186.36/30.72  | | |   (101)  all_56_11 = e2
% 186.36/30.72  | | |   (102)  op(e1, e0) = e2
% 186.36/30.72  | | | 
% 186.36/30.72  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 186.36/30.72  | | |            (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 186.36/30.72  | | |            (23), (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 186.36/30.72  | | |            (33), (34), (35), (36), (37), (38), (39), (40), (41), (42),
% 186.36/30.72  | | |            (43), (44), (45), (46), (47), (48), (49), (50), (51), (52),
% 186.36/30.72  | | |            (53), (54), (55), (56), (57), (59), (60), (61), (62), (63),
% 186.36/30.72  | | |            (64), (65), (66), (67), (68), (69), (70), (71), (72), (73),
% 186.36/30.72  | | |            (74), (75), (76), (77), (78), (79), (80), (81), (83), (84),
% 186.36/30.72  | | |            (85), (86), (87), (88), (89), (90), (91), (92), (93), (94),
% 186.36/30.72  | | |            (95), (96), (97), (101), (102) are inconsistent by sub-proof
% 186.36/30.72  | | |            #1418.
% 186.36/30.72  | | | 
% 186.36/30.72  | | Case 2:
% 186.36/30.72  | | | 
% 186.36/30.72  | | |   (103)  all_56_15 = e2 & op(e0, e0) = e2
% 186.36/30.72  | | | 
% 186.36/30.72  | | | ALPHA: (103) implies:
% 186.36/30.72  | | |   (104)  op(e0, e0) = e2
% 186.36/30.72  | | | 
% 186.36/30.72  | | | REF_CLOSE: (3), (37), (46), (104) are inconsistent by sub-proof #1511.
% 186.36/30.72  | | | 
% 186.36/30.72  | | End of split
% 186.36/30.72  | | 
% 186.36/30.72  | End of split
% 186.36/30.72  | 
% 186.36/30.72  End of proof
% 186.36/30.72  
% 186.36/30.72  Sub-proof #1418 shows that the following formulas are inconsistent:
% 186.36/30.72  ----------------------------------------------------------------
% 186.36/30.72    (1)  all_54_6 = all_52_9
% 186.36/30.72    (2)   ~ (all_52_8 = all_52_11)
% 186.36/30.72    (3)  op(e0, e0) = all_6_2
% 186.36/30.72    (4)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 186.36/30.72    (5)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3) |
% 186.36/30.72         (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) = e3) |
% 186.36/30.72         ( ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 & $i(all_57_19))
% 186.36/30.72    (6)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 186.36/30.72    (7)   ~ (all_32_2 = e3) | ( ~ (all_32_0 = e2) & op(e3, e3) = all_32_0 &
% 186.36/30.72           $i(all_32_0)) | ( ~ (all_32_1 = e1) & op(e3, e0) = all_32_1 &
% 186.36/30.72           $i(all_32_1))
% 186.36/30.72    (8)  op(e1, e0) = e2
% 186.36/30.72    (9)   ~ (all_4_2 = e0)
% 186.36/30.72    (10)   ~ (all_52_11 = e1)
% 186.36/30.72    (11)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3) |
% 186.36/30.72          (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.36/30.72    (12)   ~ (all_6_2 = e1)
% 186.36/30.72    (13)   ~ (all_52_8 = all_14_2)
% 186.36/30.72    (14)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 186.36/30.72          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.36/30.72    (15)   ~ (all_52_6 = all_52_14)
% 186.36/30.72    (16)   ~ (e1 = e0)
% 186.36/30.72    (17)  op(e1, e3) = all_52_2
% 186.36/30.72    (18)  op(e1, e0) = all_52_14
% 186.36/30.72    (19)  all_54_15 = all_6_2
% 186.36/30.72    (20)  op(e1, e1) = all_14_2
% 186.36/30.72    (21)   ~ (e3 = e0)
% 186.36/30.72    (22)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 186.36/30.72          (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.36/30.72    (23)  op(e0, e1) = all_52_11
% 186.36/30.72    (24)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.36/30.72          (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.36/30.72    (25)   ~ (all_52_13 = all_6_2)
% 186.36/30.72    (26)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.36/30.72          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.36/30.72    (27)  op(e2, e1) = all_52_9
% 186.36/30.72    (28)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.36/30.72          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.36/30.72    (29)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) |
% 186.36/30.72          (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 186.36/30.72    (30)   ~ (all_52_14 = e1)
% 186.36/30.72    (31)  op(e3, e0) = all_52_12
% 186.36/30.72    (32)   ~ (e2 = e0)
% 186.36/30.72    (33)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 186.36/30.72          | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 186.36/30.72            e3) | ( ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 & $i(all_57_28))
% 186.36/30.72    (34)   ~ (all_52_12 = all_52_13)
% 186.36/30.72    (35)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.36/30.72          (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.36/30.72    (36)   ~ (e3 = e1)
% 186.36/30.72    (37)  op(e3, e3) = e2
% 186.36/30.72    (38)   ~ (all_6_2 = e2)
% 186.36/30.72    (39)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 186.36/30.72          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.36/30.72    (40)   ~ (all_52_12 = all_52_14)
% 186.36/30.72    (41)  op(e2, e3) = all_52_1
% 186.36/30.72    (42)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 186.36/30.72    (43)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 186.36/30.72          | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 186.36/30.72            e3) | ( ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 & $i(all_57_22))
% 186.36/30.72    (44)  op(e0, e3) = all_52_3
% 186.36/30.72    (45)   ~ (all_52_4 = all_52_8)
% 186.36/30.72    (46)  all_54_10 = all_14_2
% 186.36/30.72    (47)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.72            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.72    (48)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 186.36/30.72          (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.36/30.72    (49)  all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 186.36/30.72    (50)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 186.36/30.72          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 186.36/30.72            e0) | ( ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 & $i(all_57_24))
% 186.36/30.72    (51)  all_57_31 = all_6_2
% 186.36/30.72    (52)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 186.36/30.72          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 186.36/30.72    (53)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 186.36/30.72              e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2)
% 186.36/30.72            & op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.36/30.72              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.36/30.72            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 186.36/30.72            $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 186.36/30.72            $i(all_57_18) & $i(all_57_28)) | (all_57_2 = all_57_28 & all_57_17 =
% 186.36/30.72            e3 & all_57_22 = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &  ~
% 186.36/30.72            (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3, all_57_16) = all_57_1 &
% 186.36/30.72            op(e3, all_57_18) = all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.36/30.72              e3) = all_57_28 & op(e3, e2) = all_57_16 & op(e3, e1) = e3 & op(e3,
% 186.36/30.72              e0) = all_57_18 & op(e1, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.36/30.72            $i(all_57_3) & $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 186.36/30.72          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 186.36/30.72              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0)
% 186.36/30.72            & op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 186.36/30.72              all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 186.36/30.72            all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3
% 186.36/30.72            & $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 186.36/30.72            $i(all_57_17) & $i(all_57_28)) | (all_57_4 = all_57_29 & all_57_16 =
% 186.36/30.72            e2 & all_57_19 = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~
% 186.36/30.72            (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.36/30.72              all_57_20) = all_57_6 & op(e2, all_57_21) = all_57_7 & op(e2,
% 186.36/30.72              all_57_29) = all_57_5 & op(e2, e3) = e2 & op(e2, e2) = all_57_29 &
% 186.36/30.72            op(e2, e1) = all_57_20 & op(e2, e0) = all_57_21 & $i(all_57_5) &
% 186.36/30.72            $i(all_57_6) & $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 186.36/30.72            $i(all_57_29)) | (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 =
% 186.36/30.72            e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~
% 186.36/30.72            (all_57_29 = e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) =
% 186.36/30.72            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 &
% 186.36/30.72            op(e2, e2) = all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.36/30.72            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) &
% 186.36/30.72            $i(all_57_19) & $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29
% 186.36/30.72            & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5
% 186.36/30.72              = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19)
% 186.36/30.72            = all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) =
% 186.36/30.72            all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2,
% 186.36/30.72              e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) &
% 186.36/30.72            $i(all_57_5) & $i(all_57_6) & $i(all_57_19) & $i(all_57_20) &
% 186.36/30.72            $i(all_57_29)) | (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 =
% 186.36/30.72            e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) & 
% 186.36/30.72            ~ (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.72            op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1,
% 186.36/30.72              e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1,
% 186.36/30.72              e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) & $i(all_57_11) &
% 186.36/30.72            $i(all_57_23) & $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30
% 186.36/30.72            & all_57_20 = e1 & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10
% 186.36/30.72              = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1
% 186.36/30.72            & op(e1, all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 &
% 186.36/30.72            op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.36/30.72            e1 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 186.36/30.72            $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 186.36/30.72            $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 186.36/30.72                = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 186.36/30.72                &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 186.36/30.72                op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.72                op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1,
% 186.36/30.72                  e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 186.36/30.72                $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.36/30.72                $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.36/30.72                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 186.36/30.72                op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.36/30.72                op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 186.36/30.72                op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 186.36/30.72                all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.36/30.72                $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.36/30.72                (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 186.36/30.72                    e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.36/30.72                  (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 186.36/30.72    (54)   ~ (all_52_8 = all_52_12)
% 186.36/30.72    (55)  all_32_2 = all_6_2
% 186.36/30.72    (56)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 186.36/30.72          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 186.36/30.72            e0) | ( ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 & $i(all_57_21))
% 186.36/30.72    (57)   ~ (all_14_2 = e3)
% 186.36/30.72    (58)   ~ (all_52_9 = all_52_11)
% 186.36/30.72    (59)  all_56_11 = e2
% 186.36/30.72    (60)   ~ (all_52_8 = all_52_9)
% 186.36/30.72    (61)   ~ (all_52_7 = all_6_2)
% 186.36/30.72    (62)  all_56_0 = e2
% 186.36/30.72    (63)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.36/30.72          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.36/30.72            e1)
% 186.36/30.72    (64)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.36/30.72          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 186.36/30.72    (65)  op(e2, e0) = all_52_13
% 186.36/30.72    (66)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 186.36/30.72          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.36/30.72    (67)  all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 186.36/30.72    (68)   ~ (e3 = e2)
% 186.36/30.72    (69)   ~ (all_52_12 = all_6_2)
% 186.36/30.72    (70)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) = e3) |
% 186.36/30.72          (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 186.36/30.72    (71)  all_54_2 = all_52_8
% 186.36/30.72    (72)   ~ (all_14_2 = e2)
% 186.36/30.72    (73)  op(e3, e1) = all_52_8
% 186.36/30.72    (74)  op(e3, e3) = all_4_2
% 186.36/30.72    (75)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 186.36/30.72          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 186.36/30.72    (76)   ~ (all_52_14 = all_6_2)
% 186.36/30.72    (77)  op(e3, e2) = all_52_4
% 186.36/30.72    (78)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 186.36/30.72          | (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0, e0) =
% 186.36/30.72            e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 & $i(all_57_18))
% 186.36/30.72    (79)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.36/30.72          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.36/30.72            e3)
% 186.36/30.72    (80)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 186.36/30.72          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.36/30.72    (81)  op(e1, e2) = all_52_6
% 186.36/30.72    (82)   ~ (all_52_7 = e2)
% 186.36/30.72    (83)   ~ (e2 = e1)
% 186.36/30.72    (84)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.36/30.72          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.36/30.72            e2)
% 186.36/30.72    (85)  all_54_3 = all_52_12
% 186.36/30.72    (86)  op(e0, e2) = all_52_7
% 186.36/30.72    (87)   ~ (all_52_9 = e1)
% 186.36/30.72    (88)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.36/30.72              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.36/30.72                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.36/30.72                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.36/30.72    (89)   ~ (all_52_2 = all_52_14)
% 186.36/30.72    (90)   ~ (all_52_3 = all_52_11)
% 186.36/30.72    (91)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 186.36/30.72          | (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 & op(e0, e0) =
% 186.36/30.72            e3) | ( ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 & $i(all_57_25))
% 186.36/30.72    (92)  op(e2, e2) = e2
% 186.36/30.72    (93)   ~ (all_52_8 = e1)
% 186.36/30.72    (94)   ~ (all_4_2 = e1)
% 186.36/30.72    (95)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.36/30.72          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.36/30.72    (96)   ~ (all_52_7 = all_52_11)
% 186.36/30.72    (97)  op(e1, e1) = e1
% 186.36/30.72  
% 186.36/30.72  Begin of proof
% 186.36/30.72  | 
% 186.36/30.72  | BETA: splitting (84) gives:
% 186.36/30.72  | 
% 186.36/30.72  | Case 1:
% 186.36/30.72  | | 
% 186.36/30.72  | |   (98)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 186.36/30.72  | |           e2)
% 186.36/30.72  | | 
% 186.36/30.72  | | REF_CLOSE: (9), (16), (21), (26), (32), (36), (37), (39), (47), (68), (74),
% 186.36/30.72  | |            (82), (83), (86), (95), (98) are inconsistent by sub-proof #1543.
% 186.36/30.72  | | 
% 186.36/30.72  | Case 2:
% 186.36/30.72  | | 
% 186.36/30.72  | |   (99)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.36/30.72  | |           e2)
% 186.36/30.72  | | 
% 186.36/30.72  | | BETA: splitting (99) gives:
% 186.36/30.72  | | 
% 186.36/30.72  | | Case 1:
% 186.36/30.72  | | | 
% 186.36/30.72  | | |   (100)  all_56_14 = e2 & op(e0, e1) = e2
% 186.36/30.72  | | | 
% 186.36/30.72  | | | ALPHA: (100) implies:
% 186.36/30.72  | | |   (101)  all_56_14 = e2
% 186.36/30.72  | | |   (102)  op(e0, e1) = e2
% 186.36/30.72  | | | 
% 186.36/30.72  | | | GROUND_INST: instantiating (47) with all_52_11, e2, e1, e0, simplifying
% 186.36/30.72  | | |              with (23), (102) gives:
% 186.36/30.72  | | |   (103)  all_52_11 = e2
% 186.36/30.72  | | | 
% 186.36/30.72  | | | GROUND_INST: instantiating (47) with all_52_14, e2, e0, e1, simplifying
% 186.36/30.72  | | |              with (8), (18) gives:
% 186.36/30.72  | | |   (104)  all_52_14 = e2
% 186.36/30.72  | | | 
% 186.36/30.72  | | | REDUCE: (89), (104) imply:
% 186.36/30.72  | | |   (105)   ~ (all_52_2 = e2)
% 186.36/30.72  | | | 
% 186.36/30.72  | | | REDUCE: (90), (103) imply:
% 186.36/30.72  | | |   (106)   ~ (all_52_3 = e2)
% 186.36/30.72  | | | 
% 186.36/30.72  | | | REDUCE: (15), (104) imply:
% 186.36/30.72  | | |   (107)   ~ (all_52_6 = e2)
% 186.36/30.72  | | | 
% 186.36/30.72  | | | REDUCE: (2), (103) imply:
% 186.36/30.72  | | |   (108)   ~ (all_52_8 = e2)
% 186.36/30.72  | | | 
% 186.36/30.72  | | | REDUCE: (58), (103) imply:
% 186.36/30.72  | | |   (109)   ~ (all_52_9 = e2)
% 186.36/30.72  | | | 
% 186.36/30.72  | | | REDUCE: (40), (104) imply:
% 186.36/30.72  | | |   (110)   ~ (all_52_12 = e2)
% 186.36/30.72  | | | 
% 186.36/30.72  | | | REDUCE: (76), (104) imply:
% 186.36/30.72  | | |   (111)   ~ (all_6_2 = e2)
% 186.36/30.72  | | | 
% 186.36/30.72  | | | BETA: splitting (7) gives:
% 186.36/30.72  | | | 
% 186.36/30.72  | | | Case 1:
% 186.36/30.72  | | | | 
% 186.36/30.72  | | | |   (112)   ~ (all_32_2 = e3)
% 186.36/30.72  | | | | 
% 186.36/30.72  | | | | REDUCE: (55), (112) imply:
% 186.36/30.72  | | | |   (113)   ~ (all_6_2 = e3)
% 186.36/30.72  | | | | 
% 186.36/30.72  | | | | BETA: splitting (4) gives:
% 186.36/30.72  | | | | 
% 186.36/30.72  | | | | Case 1:
% 186.36/30.72  | | | | | 
% 186.36/30.72  | | | | |   (114)  all_54_15 = e3
% 186.36/30.72  | | | | | 
% 186.36/30.72  | | | | | COMBINE_EQS: (19), (114) imply:
% 186.36/30.72  | | | | |   (115)  all_6_2 = e3
% 186.36/30.72  | | | | | 
% 186.36/30.72  | | | | | REDUCE: (113), (115) imply:
% 186.36/30.72  | | | | |   (116)  $false
% 186.36/30.72  | | | | | 
% 186.36/30.72  | | | | | CLOSE: (116) is inconsistent.
% 186.36/30.72  | | | | | 
% 186.36/30.72  | | | | Case 2:
% 186.36/30.72  | | | | | 
% 186.36/30.72  | | | | |   (117)   ~ (all_54_15 = e3)
% 186.36/30.72  | | | | |   (118)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 186.36/30.72  | | | | | 
% 186.36/30.72  | | | | | BETA: splitting (118) gives:
% 186.36/30.72  | | | | | 
% 186.36/30.72  | | | | | Case 1:
% 186.36/30.72  | | | | | | 
% 186.36/30.72  | | | | | |   (119)  all_54_15 = e2
% 186.36/30.72  | | | | | | 
% 186.36/30.72  | | | | | | COMBINE_EQS: (19), (119) imply:
% 186.36/30.72  | | | | | |   (120)  all_6_2 = e2
% 186.36/30.72  | | | | | | 
% 186.36/30.72  | | | | | | REDUCE: (38), (120) imply:
% 186.36/30.72  | | | | | |   (121)  $false
% 186.36/30.72  | | | | | | 
% 186.36/30.72  | | | | | | CLOSE: (121) is inconsistent.
% 186.36/30.72  | | | | | | 
% 186.36/30.72  | | | | | Case 2:
% 186.36/30.72  | | | | | | 
% 186.36/30.72  | | | | | |   (122)   ~ (all_54_15 = e2)
% 186.36/30.72  | | | | | |   (123)  all_54_15 = e1 | all_54_15 = e0
% 186.36/30.72  | | | | | | 
% 186.36/30.72  | | | | | | BETA: splitting (123) gives:
% 186.36/30.72  | | | | | | 
% 186.36/30.72  | | | | | | Case 1:
% 186.36/30.72  | | | | | | | 
% 186.36/30.72  | | | | | | |   (124)  all_54_15 = e1
% 186.36/30.72  | | | | | | | 
% 186.36/30.72  | | | | | | | COMBINE_EQS: (19), (124) imply:
% 186.36/30.72  | | | | | | |   (125)  all_6_2 = e1
% 186.36/30.72  | | | | | | | 
% 186.36/30.72  | | | | | | | REDUCE: (12), (125) imply:
% 186.36/30.72  | | | | | | |   (126)  $false
% 186.36/30.72  | | | | | | | 
% 186.36/30.72  | | | | | | | CLOSE: (126) is inconsistent.
% 186.36/30.72  | | | | | | | 
% 186.36/30.72  | | | | | | Case 2:
% 186.36/30.72  | | | | | | | 
% 186.36/30.72  | | | | | | |   (127)  all_54_15 = e0
% 186.36/30.72  | | | | | | | 
% 186.36/30.72  | | | | | | | COMBINE_EQS: (19), (127) imply:
% 186.36/30.72  | | | | | | |   (128)  all_6_2 = e0
% 186.36/30.72  | | | | | | | 
% 186.36/30.72  | | | | | | | COMBINE_EQS: (51), (128) imply:
% 186.36/30.72  | | | | | | |   (129)  all_57_31 = e0
% 186.36/30.72  | | | | | | | 
% 186.36/30.72  | | | | | | | REDUCE: (61), (128) imply:
% 186.36/30.72  | | | | | | |   (130)   ~ (all_52_7 = e0)
% 186.36/30.72  | | | | | | | 
% 186.36/30.72  | | | | | | | REDUCE: (25), (128) imply:
% 186.36/30.72  | | | | | | |   (131)   ~ (all_52_13 = e0)
% 186.36/30.72  | | | | | | | 
% 186.36/30.72  | | | | | | | REDUCE: (113), (128) imply:
% 186.36/30.72  | | | | | | |   (132)   ~ (e3 = e0)
% 186.36/30.72  | | | | | | | 
% 186.36/30.72  | | | | | | | REDUCE: (38), (128) imply:
% 186.36/30.72  | | | | | | |   (133)   ~ (e2 = e0)
% 186.36/30.72  | | | | | | | 
% 186.36/30.72  | | | | | | | REDUCE: (12), (128) imply:
% 186.36/30.72  | | | | | | |   (134)   ~ (e1 = e0)
% 186.36/30.72  | | | | | | | 
% 186.36/30.72  | | | | | | | REDUCE: (3), (128) imply:
% 186.36/30.72  | | | | | | |   (135)  op(e0, e0) = e0
% 186.36/30.72  | | | | | | | 
% 186.36/30.72  | | | | | | | BETA: splitting (91) gives:
% 186.36/30.72  | | | | | | | 
% 186.36/30.72  | | | | | | | Case 1:
% 186.36/30.72  | | | | | | | | 
% 186.36/30.72  | | | | | | | |   (136)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 &
% 186.36/30.72  | | | | | | | |            op(e2, e2) = e3)
% 186.36/30.72  | | | | | | | | 
% 186.36/30.72  | | | | | | | | REF_CLOSE: (37), (47), (68), (92), (136) are inconsistent by
% 186.36/30.72  | | | | | | | |            sub-proof #1542.
% 186.36/30.72  | | | | | | | | 
% 186.36/30.72  | | | | | | | Case 2:
% 186.36/30.72  | | | | | | | | 
% 186.36/30.72  | | | | | | | |   (137)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 = e3 &
% 186.36/30.72  | | | | | | | |            op(e0, e0) = e3) | ( ~ (all_57_25 = e0) & op(e0, e3)
% 186.36/30.72  | | | | | | | |            = all_57_25 & $i(all_57_25))
% 186.36/30.72  | | | | | | | | 
% 186.36/30.72  | | | | | | | | BETA: splitting (137) gives:
% 186.36/30.72  | | | | | | | | 
% 186.36/30.72  | | | | | | | | Case 1:
% 186.36/30.72  | | | | | | | | | 
% 186.36/30.72  | | | | | | | | |   (138)  all_57_30 = e3 & op(e1, e1) = e3
% 186.36/30.72  | | | | | | | | | 
% 186.36/30.72  | | | | | | | | | ALPHA: (138) implies:
% 186.36/30.72  | | | | | | | | |   (139)  op(e1, e1) = e3
% 186.36/30.72  | | | | | | | | | 
% 186.36/30.72  | | | | | | | | | REF_CLOSE: (36), (47), (97), (139) are inconsistent by
% 186.36/30.72  | | | | | | | | |            sub-proof #1541.
% 186.36/30.72  | | | | | | | | | 
% 186.36/30.72  | | | | | | | | Case 2:
% 186.36/30.72  | | | | | | | | | 
% 186.36/30.72  | | | | | | | | |   (140)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~ (all_57_25 =
% 186.36/30.72  | | | | | | | | |              e0) & op(e0, e3) = all_57_25 & $i(all_57_25))
% 186.36/30.72  | | | | | | | | | 
% 186.36/30.72  | | | | | | | | | BETA: splitting (140) gives:
% 186.36/30.72  | | | | | | | | | 
% 186.36/30.72  | | | | | | | | | Case 1:
% 186.36/30.72  | | | | | | | | | | 
% 186.36/30.72  | | | | | | | | | |   (141)  all_57_31 = e3 & op(e0, e0) = e3
% 186.36/30.72  | | | | | | | | | | 
% 186.36/30.72  | | | | | | | | | | ALPHA: (141) implies:
% 186.36/30.72  | | | | | | | | | |   (142)  op(e0, e0) = e3
% 186.36/30.72  | | | | | | | | | | 
% 186.36/30.72  | | | | | | | | | | REF_CLOSE: (21), (47), (135), (142) are inconsistent by
% 186.36/30.72  | | | | | | | | | |            sub-proof #1540.
% 186.36/30.72  | | | | | | | | | | 
% 186.36/30.72  | | | | | | | | | Case 2:
% 186.36/30.72  | | | | | | | | | | 
% 186.36/30.72  | | | | | | | | | |   (143)   ~ (all_57_25 = e0) & op(e0, e3) = all_57_25 &
% 186.36/30.72  | | | | | | | | | |          $i(all_57_25)
% 186.36/30.72  | | | | | | | | | | 
% 186.36/30.72  | | | | | | | | | | ALPHA: (143) implies:
% 186.36/30.72  | | | | | | | | | |   (144)  op(e0, e3) = all_57_25
% 186.36/30.72  | | | | | | | | | | 
% 186.36/30.72  | | | | | | | | | | BETA: splitting (33) gives:
% 186.36/30.72  | | | | | | | | | | 
% 186.36/30.72  | | | | | | | | | | Case 1:
% 186.36/30.72  | | | | | | | | | | | 
% 186.36/30.72  | | | | | | | | | | |   (145)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 186.36/30.72  | | | | | | | | | | |            e3 & op(e2, e2) = e3)
% 186.36/30.72  | | | | | | | | | | | 
% 186.36/30.72  | | | | | | | | | | | REF_CLOSE: (37), (47), (68), (92), (145) are inconsistent by
% 186.36/30.72  | | | | | | | | | | |            sub-proof #1542.
% 186.36/30.72  | | | | | | | | | | | 
% 186.36/30.72  | | | | | | | | | | Case 2:
% 186.36/30.72  | | | | | | | | | | | 
% 186.36/30.72  | | | | | | | | | | |   (146)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 186.36/30.72  | | | | | | | | | | |            e3 & op(e0, e0) = e3) | ( ~ (all_57_28 = e3) &
% 186.36/30.72  | | | | | | | | | | |            op(e3, e3) = all_57_28 & $i(all_57_28))
% 186.36/30.72  | | | | | | | | | | | 
% 186.36/30.72  | | | | | | | | | | | BETA: splitting (146) gives:
% 186.36/30.72  | | | | | | | | | | | 
% 186.36/30.72  | | | | | | | | | | | Case 1:
% 186.36/30.72  | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | |   (147)  all_57_30 = e3 & op(e1, e1) = e3
% 186.36/30.73  | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | ALPHA: (147) implies:
% 186.36/30.73  | | | | | | | | | | | |   (148)  op(e1, e1) = e3
% 186.36/30.73  | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | REF_CLOSE: (36), (47), (97), (148) are inconsistent by
% 186.36/30.73  | | | | | | | | | | | |            sub-proof #1541.
% 186.36/30.73  | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | |   (149)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 186.36/30.73  | | | | | | | | | | | |            (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 186.36/30.73  | | | | | | | | | | | |            $i(all_57_28))
% 186.36/30.73  | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | BETA: splitting (149) gives:
% 186.36/30.73  | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | |   (150)  all_57_31 = e3 & op(e0, e0) = e3
% 186.36/30.73  | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | ALPHA: (150) implies:
% 186.36/30.73  | | | | | | | | | | | | |   (151)  op(e0, e0) = e3
% 186.36/30.73  | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | REF_CLOSE: (21), (47), (135), (151) are inconsistent by
% 186.36/30.73  | | | | | | | | | | | | |            sub-proof #1540.
% 186.36/30.73  | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | |   (152)   ~ (all_57_28 = e3) & op(e3, e3) = all_57_28 &
% 186.36/30.73  | | | | | | | | | | | | |          $i(all_57_28)
% 186.36/30.73  | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | ALPHA: (152) implies:
% 186.36/30.73  | | | | | | | | | | | | |   (153)   ~ (all_57_28 = e3)
% 186.36/30.73  | | | | | | | | | | | | |   (154)  op(e3, e3) = all_57_28
% 186.36/30.73  | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | BETA: splitting (5) gives:
% 186.36/30.73  | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | |   (155)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 186.36/30.73  | | | | | | | | | | | | | |            e3 & op(e2, e2) = e3)
% 186.36/30.73  | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | REF_CLOSE: (47), (68), (92), (153), (154), (155) are
% 186.36/30.73  | | | | | | | | | | | | | |            inconsistent by sub-proof #1538.
% 186.36/30.73  | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | |   (156)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 186.36/30.73  | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3) | ( ~ (all_57_19 = e2) &
% 186.36/30.73  | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & $i(all_57_19))
% 186.36/30.73  | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 186.36/30.73  | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | |   (157)  all_57_30 = e3 & op(e1, e1) = e3
% 186.36/30.73  | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | ALPHA: (157) implies:
% 186.36/30.73  | | | | | | | | | | | | | | |   (158)  op(e1, e1) = e3
% 186.36/30.73  | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | REF_CLOSE: (36), (47), (97), (158) are inconsistent by
% 186.36/30.73  | | | | | | | | | | | | | | |            sub-proof #1541.
% 186.36/30.73  | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | |   (159)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 186.36/30.73  | | | | | | | | | | | | | | |            (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 186.36/30.73  | | | | | | | | | | | | | | |            $i(all_57_19))
% 186.36/30.73  | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | |   (160)  all_57_31 = e3 & op(e0, e0) = e3
% 186.36/30.73  | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | ALPHA: (160) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | |   (161)  op(e0, e0) = e3
% 186.36/30.73  | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | REF_CLOSE: (21), (47), (135), (161) are inconsistent by
% 186.36/30.73  | | | | | | | | | | | | | | | |            sub-proof #1540.
% 186.36/30.73  | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | |   (162)   ~ (all_57_19 = e2) & op(e2, e3) = all_57_19 &
% 186.36/30.73  | | | | | | | | | | | | | | | |          $i(all_57_19)
% 186.36/30.73  | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | ALPHA: (162) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | |   (163)   ~ (all_57_19 = e2)
% 186.36/30.73  | | | | | | | | | | | | | | | |   (164)  op(e2, e3) = all_57_19
% 186.36/30.73  | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | |   (165)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 =
% 186.36/30.73  | | | | | | | | | | | | | | | | |            e3 & op(e2, e2) = e3)
% 186.36/30.73  | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (68), (92), (153), (154), (165) are
% 186.36/30.73  | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1538.
% 186.36/30.73  | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | |   (166)  (all_57_30 = e3 & op(e1, e1) = e3) | (all_57_31 =
% 186.36/30.73  | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3) | ( ~ (all_57_22 = e1) &
% 186.36/30.73  | | | | | | | | | | | | | | | | |            op(e1, e3) = all_57_22 & $i(all_57_22))
% 186.36/30.73  | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | |   (167)  all_57_30 = e3 & op(e1, e1) = e3
% 186.36/30.73  | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | ALPHA: (167) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | |   (168)  op(e1, e1) = e3
% 186.36/30.73  | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (47), (97), (168) are inconsistent by
% 186.36/30.73  | | | | | | | | | | | | | | | | | |            sub-proof #1541.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | |   (169)  (all_57_31 = e3 & op(e0, e0) = e3) | ( ~
% 186.36/30.73  | | | | | | | | | | | | | | | | | |            (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | |            $i(all_57_22))
% 186.36/30.73  | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | |   (170)  all_57_31 = e3 & op(e0, e0) = e3
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | ALPHA: (170) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | |   (171)  op(e0, e0) = e3
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (47), (135), (171) are inconsistent by
% 186.36/30.73  | | | | | | | | | | | | | | | | | | |            sub-proof #1540.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | |   (172)   ~ (all_57_22 = e1) & op(e1, e3) = all_57_22 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | |          $i(all_57_22)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | ALPHA: (172) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | |   (173)   ~ (all_57_22 = e1)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | |   (174)  op(e1, e3) = all_57_22
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | |   (175)  all_56_15 = e0 & op(e0, e0) = e0
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_52_3, all_57_25, e3,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (44), (144) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | |   (176)  all_57_25 = all_52_3
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_52_2, all_57_22, e3,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | |              e1, simplifying with (17), (174) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | |   (177)  all_57_22 = all_52_2
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_52_1, all_57_19, e3,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (41), (164) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | |   (178)  all_57_19 = all_52_1
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (47) with e2, all_57_28, e3, e3,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | |              simplifying with (37), (154) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | |   (179)  all_57_28 = e2
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (178) imply:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | |   (180)   ~ (all_52_1 = e2)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | REDUCE: (173), (177) imply:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | |   (181)   ~ (all_52_2 = e1)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | |   (182)  all_54_2 = e3
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (182) imply:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | |   (183)  all_52_8 = e3
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | SIMP: (183) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | |   (184)  all_52_8 = e3
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (184) imply:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | |   (185)   ~ (all_52_12 = e3)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | SIMP: (185) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | |   (186)   ~ (all_52_12 = e3)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (184) imply:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | |   (187)  op(e3, e1) = e3
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | |   (188)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |   (189)  all_56_9 = e3 & op(e3, e0) = e3
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (189) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |   (190)  op(e3, e0) = e3
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (47), (186), (190) are inconsistent by
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1615.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |   (191)  all_56_10 = e3 & op(e2, e0) = e3
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (191) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |   (192)  all_56_10 = e3
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (24) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |   (193)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e0)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (194)  all_56_0 = e0 & op(e3, e3) = e0
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (194) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (195)  op(e3, e3) = e0
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (47), (74), (195) are inconsistent by
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1624.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (196)  all_56_1 = e0 & op(e3, e2) = e0
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (196) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (197)  op(e3, e2) = e0
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (198)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (199)  all_56_2 = e1 & op(e2, e3) = e1
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (199) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (200)  all_56_2 = e1
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (201)  op(e2, e3) = e1
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (202)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_56_9 = e1 & op(e3, e0) = e1
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (203) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_56_9 = e1
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (205)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (206)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (47), (197), (201), (207) are inconsistent
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1537.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (208) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  all_57_22 = e3
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)   ~ (all_57_28 = e1)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (177), (209) imply:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  all_52_2 = e3
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (211) imply:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  op(e1, e3) = e3
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  all_56_6 = e0 & op(e1, e3) = e0
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (214) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  op(e1, e3) = e0
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (47), (212), (215) are inconsistent by
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1536.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  all_56_7 = e0 & op(e1, e2) = e0
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (216) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)  all_56_7 = e0
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (9), (10), (12), (16), (21), (23), (26),
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (36), (37), (38), (39), (44), (47), (59),
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (62), (63), (65), (66), (68), (74), (79), (80),
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (83), (84), (88), (94), (95), (97), (131), (192),
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (200), (204), (212), (217) are inconsistent by
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1492.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (16), (32), (38), (47), (66), (68), (83),
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (97), (192), (204), (218) are inconsistent by
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1491.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_17) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (220) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  op(e3, e0) = e3
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (47), (186), (221) are inconsistent by
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1615.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21) = all_57_7 & op(e2, all_57_29) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (222) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  all_57_19 = e2
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (178), (223) imply:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  all_52_1 = e2
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (224) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  all_52_1 = e2
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (225) imply:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  $false
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (226) is inconsistent.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (81), (82), (86), (107), (228) are
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1612.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (27), (30), (47), (73), (87), (93), (129),
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (229) are inconsistent by sub-proof #1490.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  all_56_10 = e1 & op(e2, e0) = e1
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (230) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  all_56_10 = e1
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (192), (231) are inconsistent by sub-proof
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1489.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (12), (18), (30), (47), (232) are
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1488.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (233)  all_56_3 = e1 & op(e2, e2) = e1
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (233) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (234)  op(e2, e2) = e1
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (83), (92), (234) are inconsistent by
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1487.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (235)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (36), (47), (87), (192), (235) are
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1485.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |   (236)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  all_56_4 = e0 & op(e3, e1) = e0
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (237) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  op(e3, e1) = e0
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (47), (73), (187), (238) are inconsistent by
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1577.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_56_9 = e0 & op(e3, e0) = e0
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (239) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_56_9 = e0
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (12), (16), (18), (22), (30), (36), (47),
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |            (192), (240) are inconsistent by sub-proof #1483.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | |   (241)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (47), (59), (68), (135), (241) are
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1481.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | |   (242)   ~ (all_54_2 = e3)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | |   (243)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (242) imply:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | |   (244)   ~ (all_52_8 = e3)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | |   (245)  all_54_2 = e2
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (71), (108), (245) are inconsistent by sub-proof
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | |            #1480.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | |   (246)   ~ (all_54_2 = e2)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | |   (247)  all_54_2 = e1 | all_54_2 = e0
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |   (248)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |   (249)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (250) implies:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (251)   ~ (all_57_28 = e2)
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (251) imply:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  $false
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (252) is inconsistent.
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (253) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  op(e3, e1) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (71), (73), (93), (244), (247), (254) are
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1478.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |   (255)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_17) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (256) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  all_57_25 = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (176), (257) imply:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  all_52_3 = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (258) imply:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (259)  op(e0, e3) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  all_54_2 = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (71), (93), (260) are inconsistent by sub-proof
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |            #1479.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_54_2 = e0
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (261) imply:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  all_52_8 = e0
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (262) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)  all_52_8 = e0
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (263) imply:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)   ~ (all_52_4 = e0)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (263) imply:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (265)   ~ (all_52_9 = e0)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (265) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (266)   ~ (all_52_9 = e0)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (263) imply:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (267)  op(e3, e1) = e0
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (80) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (268)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e3)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (269)  all_56_6 = e3 & op(e1, e3) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (269) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (270)  all_56_6 = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (271)  op(e1, e3) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_54_6 = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1), (272) imply:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (273)  all_52_9 = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (27), (273) imply:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  op(e2, e1) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e2, e0) = e3)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  all_56_9 = e3 & op(e3, e0) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (276) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  all_56_9 = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  all_56_1 = e3 & op(e3, e2) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (279) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  op(e3, e2) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e1)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_56_0 = e1 & op(e3, e3) = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (282) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  op(e3, e3) = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (47), (83), (283) are inconsistent by
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1582.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  all_56_1 = e1 & op(e3, e2) = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (284) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  op(e3, e2) = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (47), (280), (285) are inconsistent by
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1579.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e1)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  all_56_4 = e1 & op(e3, e1) = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (287) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_56_4 = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (16), (21), (27), (32), (36), (47), (48),
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (75), (83), (97), (266), (288) are
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1467.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)  all_56_9 = e1 & op(e3, e0) = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (289) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)  all_56_9 = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (277), (290) imply:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  e3 = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (291) imply:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  $false
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (292) is inconsistent.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  all_56_3 = e3 & op(e2, e2) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (293) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  op(e2, e2) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (68), (92), (294) are inconsistent by
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1602.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  all_56_7 = e3 & op(e1, e2) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (296) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_56_7 = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (32), (47), (64), (77), (86), (92), (130),
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (264), (297) are inconsistent by sub-proof #1461.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  all_56_13 = e3 & op(e0, e2) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (298) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)  all_56_13 = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (12), (36), (44), (47), (63), (83), (101),
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (259), (299) are inconsistent by sub-proof #1457.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_56_10 = e3 & op(e2, e0) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (300) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  all_56_10 = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_56_9 = e1 & op(e3, e0) = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (303) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_56_9 = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)  all_56_6 = e0 & op(e1, e3) = e0
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (306) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)  op(e1, e3) = e0
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (47), (271), (307) are inconsistent by
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1536.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  all_56_7 = e0 & op(e1, e2) = e0
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (308) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  all_56_7 = e0
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)  (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e1)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  all_56_2 = e1 & op(e2, e3) = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (311) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  all_56_2 = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (9), (10), (12), (16), (21), (23), (26),
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (32), (36), (37), (38), (39), (44), (47), (59),
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (62), (63), (65), (66), (68), (74), (79), (80),
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (83), (84), (88), (94), (95), (97), (131), (271),
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (301), (304), (309), (312) are inconsistent by
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1492.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  all_56_3 = e1 & op(e2, e2) = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (313) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  op(e2, e2) = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (83), (92), (314) are inconsistent by
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1487.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e2, e0) = e1)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  all_56_5 = e1 & op(e2, e1) = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (316) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  op(e2, e1) = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (47), (274), (317) are inconsistent by
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1456.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)  all_56_10 = e1 & op(e2, e0) = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (318) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)  all_56_10 = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (301), (319) are inconsistent by sub-proof
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1489.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (16), (32), (38), (47), (66), (68), (83),
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (97), (301), (304), (320) are inconsistent by
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1491.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  all_56_10 = e1 & op(e2, e0) = e1
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (301), (321) are inconsistent by sub-proof
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1486.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (12), (18), (30), (47), (322) are
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1488.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_56_11 = e3 & op(e1, e0) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (324) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_56_11 = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (59), (325) imply:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  e3 = e2
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (326) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  e3 = e2
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (327) imply:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_56_6 = e2
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (21), (28), (32), (36), (47), (59), (68),
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (97), (328) are inconsistent by sub-proof
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1450.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_56_15 = e3 & op(e0, e0) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (329) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  op(e0, e0) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (47), (135), (330) are inconsistent by
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1540.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)   ~ (all_54_6 = e3)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1), (331) imply:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)   ~ (all_52_9 = e3)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e3)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (27), (47), (73), (267), (332), (333) are
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1448.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e1) = e3)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_56_8 = e3 & op(e1, e1) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (335) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  op(e1, e1) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (20), (42), (46), (47), (57), (71),
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (72), (93), (108), (244), (336) are inconsistent
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1445.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_56_14 = e3 & op(e0, e1) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (337) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)  all_56_14 = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (101), (338) imply:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)  e3 = e2
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (339) imply:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_56_6 = e2
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (21), (28), (32), (36), (47), (59), (68),
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (80), (97), (340) are inconsistent by sub-proof
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1450.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_56_7 = e3 & op(e1, e2) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (341) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_56_7 = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (32), (47), (64), (77), (86), (92), (130),
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (264), (342) are inconsistent by sub-proof #1461.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e1, e0) = e3)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (343) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_56_8 = e3 & op(e1, e1) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (344) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  op(e1, e1) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13), (20), (42), (46), (47), (57), (71),
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (72), (93), (108), (244), (345) are inconsistent
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #1445.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  all_56_11 = e3 & op(e1, e0) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (346) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  all_56_11 = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (68), (347) are inconsistent by sub-proof
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1482.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21) = all_57_7 & op(e2, all_57_29) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (348) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  all_57_19 = e2
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (178), (349) imply:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  all_52_1 = e2
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (350) imply:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  $false
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (351) is inconsistent.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |   (352)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (352) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |   (353)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (81), (82), (86), (107), (353) are
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1612.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |   (354)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (27), (30), (47), (73), (87), (93), (129),
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | |            (354) are inconsistent by sub-proof #1490.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | |   (355)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | ALPHA: (355) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | |   (356)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | |              e1) = e0)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | BETA: splitting (356) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | |   (357)  all_56_12 = e0 & op(e0, e3) = e0
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | ALPHA: (357) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | |   (358)  all_56_12 = e0
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | |   (359)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_56_12 = e3 & op(e0, e3) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (358), (360) are inconsistent by sub-proof
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            #1533.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_56_13 = e3 & op(e0, e2) = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (361) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |   (362)  all_56_13 = e3
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (12), (16), (23), (32), (36), (47),
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            (63), (86), (101), (130), (356), (362) are
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1441.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | |   (363)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e0) = e3)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (12), (16), (21), (32), (36), (38), (47),
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | |            (63), (68), (83), (84), (86), (130), (135), (356),
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | |            (363) are inconsistent by sub-proof #1438.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | |   (364)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | |            e0 & op(e0, e1) = e0)
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | |   (365)  all_56_13 = e0 & op(e0, e2) = e0
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (365) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | |   (366)  op(e0, e2) = e0
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (86), (130), (366) are inconsistent by
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1463.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | |   (367)  all_56_14 = e0 & op(e0, e1) = e0
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (367) implies:
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | |   (368)  all_56_14 = e0
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (101), (368) are inconsistent by sub-proof
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | |            #1437.
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | | 
% 186.36/30.74  | | | | | | | | End of split
% 186.36/30.74  | | | | | | | | 
% 186.36/30.74  | | | | | | | End of split
% 186.36/30.74  | | | | | | | 
% 186.36/30.74  | | | | | | End of split
% 186.36/30.74  | | | | | | 
% 186.36/30.74  | | | | | End of split
% 186.36/30.74  | | | | | 
% 186.36/30.74  | | | | End of split
% 186.36/30.74  | | | | 
% 186.36/30.74  | | | Case 2:
% 186.36/30.74  | | | | 
% 186.36/30.74  | | | |   (369)  all_32_2 = e3
% 186.36/30.74  | | | |   (370)  ( ~ (all_32_0 = e2) & op(e3, e3) = all_32_0 & $i(all_32_0)) | (
% 186.36/30.74  | | | |            ~ (all_32_1 = e1) & op(e3, e0) = all_32_1 & $i(all_32_1))
% 186.36/30.74  | | | | 
% 186.36/30.74  | | | | COMBINE_EQS: (55), (369) imply:
% 186.36/30.74  | | | |   (371)  all_6_2 = e3
% 186.36/30.74  | | | | 
% 186.36/30.74  | | | | SIMP: (371) implies:
% 186.36/30.74  | | | |   (372)  all_6_2 = e3
% 186.36/30.74  | | | | 
% 186.36/30.74  | | | | COMBINE_EQS: (51), (372) imply:
% 186.36/30.74  | | | |   (373)  all_57_31 = e3
% 186.36/30.74  | | | | 
% 186.36/30.74  | | | | REDUCE: (69), (372) imply:
% 186.36/30.74  | | | |   (374)   ~ (all_52_12 = e3)
% 186.36/30.74  | | | | 
% 186.36/30.74  | | | | REDUCE: (3), (372) imply:
% 186.36/30.74  | | | |   (375)  op(e0, e0) = e3
% 186.36/30.74  | | | | 
% 186.36/30.74  | | | | BETA: splitting (78) gives:
% 186.36/30.74  | | | | 
% 186.36/30.74  | | | | Case 1:
% 186.36/30.74  | | | | | 
% 186.36/30.74  | | | | |   (376)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2,
% 186.36/30.74  | | | | |              e2) = e0)
% 186.36/30.74  | | | | | 
% 186.36/30.74  | | | | | REF_CLOSE: (9), (32), (47), (74), (92), (376) are inconsistent by
% 186.36/30.74  | | | | |            sub-proof #1585.
% 186.36/30.74  | | | | | 
% 186.36/30.74  | | | | Case 2:
% 186.36/30.74  | | | | | 
% 186.36/30.74  | | | | |   (377)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0 & op(e0,
% 186.36/30.74  | | | | |              e0) = e0) | ( ~ (all_57_18 = e3) & op(e3, e0) = all_57_18
% 186.36/30.74  | | | | |            & $i(all_57_18))
% 186.36/30.74  | | | | | 
% 186.36/30.74  | | | | | BETA: splitting (377) gives:
% 186.36/30.74  | | | | | 
% 186.36/30.74  | | | | | Case 1:
% 186.36/30.74  | | | | | | 
% 186.36/30.74  | | | | | |   (378)  all_57_30 = e0 & op(e1, e1) = e0
% 186.36/30.74  | | | | | | 
% 186.36/30.74  | | | | | | ALPHA: (378) implies:
% 186.36/30.74  | | | | | |   (379)  op(e1, e1) = e0
% 186.36/30.74  | | | | | | 
% 186.36/30.74  | | | | | | REF_CLOSE: (16), (47), (97), (379) are inconsistent by sub-proof
% 186.36/30.74  | | | | | |            #1619.
% 186.36/30.74  | | | | | | 
% 186.36/30.74  | | | | | Case 2:
% 186.36/30.74  | | | | | | 
% 186.36/30.74  | | | | | |   (380)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~ (all_57_18 = e3) &
% 186.36/30.74  | | | | | |            op(e3, e0) = all_57_18 & $i(all_57_18))
% 186.36/30.74  | | | | | | 
% 186.36/30.74  | | | | | | BETA: splitting (380) gives:
% 186.36/30.74  | | | | | | 
% 186.36/30.74  | | | | | | Case 1:
% 186.36/30.74  | | | | | | | 
% 186.36/30.74  | | | | | | |   (381)  all_57_31 = e0 & op(e0, e0) = e0
% 186.36/30.74  | | | | | | | 
% 186.36/30.74  | | | | | | | ALPHA: (381) implies:
% 186.36/30.74  | | | | | | |   (382)  op(e0, e0) = e0
% 186.36/30.74  | | | | | | | 
% 186.36/30.74  | | | | | | | REF_CLOSE: (21), (47), (375), (382) are inconsistent by sub-proof
% 186.36/30.74  | | | | | | |            #1540.
% 186.36/30.74  | | | | | | | 
% 186.36/30.74  | | | | | | Case 2:
% 186.36/30.74  | | | | | | | 
% 186.36/30.74  | | | | | | |   (383)   ~ (all_57_18 = e3) & op(e3, e0) = all_57_18 &
% 186.36/30.74  | | | | | | |          $i(all_57_18)
% 186.36/30.74  | | | | | | | 
% 186.36/30.74  | | | | | | | ALPHA: (383) implies:
% 186.36/30.74  | | | | | | |   (384)  op(e3, e0) = all_57_18
% 186.36/30.74  | | | | | | | 
% 186.36/30.74  | | | | | | | BETA: splitting (370) gives:
% 186.36/30.74  | | | | | | | 
% 186.36/30.74  | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | 
% 186.36/30.74  | | | | | | | |   (385)   ~ (all_32_0 = e2) & op(e3, e3) = all_32_0 &
% 186.36/30.74  | | | | | | | |          $i(all_32_0)
% 186.36/30.74  | | | | | | | | 
% 186.36/30.74  | | | | | | | | REF_CLOSE: (37), (47), (385) are inconsistent by sub-proof
% 186.36/30.74  | | | | | | | |            #1436.
% 186.36/30.74  | | | | | | | | 
% 186.36/30.74  | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | 
% 186.36/30.74  | | | | | | | |   (386)   ~ (all_32_1 = e1) & op(e3, e0) = all_32_1 &
% 186.36/30.74  | | | | | | | |          $i(all_32_1)
% 186.36/30.74  | | | | | | | | 
% 186.36/30.74  | | | | | | | | ALPHA: (386) implies:
% 186.36/30.74  | | | | | | | |   (387)   ~ (all_32_1 = e1)
% 186.36/30.74  | | | | | | | |   (388)  op(e3, e0) = all_32_1
% 186.36/30.74  | | | | | | | | 
% 186.36/30.74  | | | | | | | | BETA: splitting (56) gives:
% 186.36/30.74  | | | | | | | | 
% 186.36/30.74  | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | 
% 186.36/30.74  | | | | | | | | |   (389)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0
% 186.36/30.74  | | | | | | | | |            & op(e2, e2) = e0)
% 186.36/30.74  | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | REF_CLOSE: (9), (32), (47), (74), (92), (389) are inconsistent
% 186.36/30.74  | | | | | | | | |            by sub-proof #1585.
% 186.36/30.74  | | | | | | | | | 
% 186.36/30.74  | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | 
% 186.36/30.74  | | | | | | | | |   (390)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 = e0
% 186.36/30.74  | | | | | | | | |            & op(e0, e0) = e0) | ( ~ (all_57_21 = e2) & op(e2,
% 186.36/30.74  | | | | | | | | |              e0) = all_57_21 & $i(all_57_21))
% 186.36/30.74  | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | BETA: splitting (390) gives:
% 186.36/30.74  | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | |   (391)  all_57_30 = e0 & op(e1, e1) = e0
% 186.36/30.74  | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | ALPHA: (391) implies:
% 186.36/30.74  | | | | | | | | | |   (392)  op(e1, e1) = e0
% 186.36/30.74  | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | REF_CLOSE: (16), (47), (97), (392) are inconsistent by
% 186.36/30.74  | | | | | | | | | |            sub-proof #1619.
% 186.36/30.74  | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | |   (393)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~ (all_57_21
% 186.36/30.74  | | | | | | | | | |              = e2) & op(e2, e0) = all_57_21 & $i(all_57_21))
% 186.36/30.74  | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | BETA: splitting (393) gives:
% 186.36/30.74  | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | |   (394)  all_57_31 = e0 & op(e0, e0) = e0
% 186.36/30.74  | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | ALPHA: (394) implies:
% 186.36/30.74  | | | | | | | | | | |   (395)  op(e0, e0) = e0
% 186.36/30.74  | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | REF_CLOSE: (21), (47), (375), (395) are inconsistent by
% 186.36/30.74  | | | | | | | | | | |            sub-proof #1540.
% 186.36/30.74  | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | Case 2:
% 186.36/30.74  | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | |   (396)   ~ (all_57_21 = e2) & op(e2, e0) = all_57_21 &
% 186.36/30.74  | | | | | | | | | | |          $i(all_57_21)
% 186.36/30.74  | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | ALPHA: (396) implies:
% 186.36/30.74  | | | | | | | | | | |   (397)  op(e2, e0) = all_57_21
% 186.36/30.74  | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | BETA: splitting (50) gives:
% 186.36/30.74  | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | Case 1:
% 186.36/30.74  | | | | | | | | | | | | 
% 186.36/30.74  | | | | | | | | | | | |   (398)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 =
% 186.36/30.75  | | | | | | | | | | | |            e0 & op(e2, e2) = e0)
% 186.36/30.75  | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | REF_CLOSE: (9), (32), (47), (74), (92), (398) are
% 186.36/30.75  | | | | | | | | | | | |            inconsistent by sub-proof #1585.
% 186.36/30.75  | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | |   (399)  (all_57_30 = e0 & op(e1, e1) = e0) | (all_57_31 =
% 186.36/30.75  | | | | | | | | | | | |            e0 & op(e0, e0) = e0) | ( ~ (all_57_24 = e1) &
% 186.36/30.75  | | | | | | | | | | | |            op(e1, e0) = all_57_24 & $i(all_57_24))
% 186.36/30.75  | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | BETA: splitting (399) gives:
% 186.36/30.75  | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | |   (400)  all_57_30 = e0 & op(e1, e1) = e0
% 186.36/30.75  | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | ALPHA: (400) implies:
% 186.36/30.75  | | | | | | | | | | | | |   (401)  op(e1, e1) = e0
% 186.36/30.75  | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | REF_CLOSE: (16), (47), (97), (401) are inconsistent by
% 186.36/30.75  | | | | | | | | | | | | |            sub-proof #1619.
% 186.36/30.75  | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | |   (402)  (all_57_31 = e0 & op(e0, e0) = e0) | ( ~
% 186.36/30.75  | | | | | | | | | | | | |            (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 186.36/30.75  | | | | | | | | | | | | |            $i(all_57_24))
% 186.36/30.75  | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | BETA: splitting (402) gives:
% 186.36/30.75  | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | |   (403)  all_57_31 = e0 & op(e0, e0) = e0
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | ALPHA: (403) implies:
% 186.36/30.75  | | | | | | | | | | | | | |   (404)  op(e0, e0) = e0
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | REF_CLOSE: (21), (47), (375), (404) are inconsistent by
% 186.36/30.75  | | | | | | | | | | | | | |            sub-proof #1540.
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | |   (405)   ~ (all_57_24 = e1) & op(e1, e0) = all_57_24 &
% 186.36/30.75  | | | | | | | | | | | | | |          $i(all_57_24)
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | ALPHA: (405) implies:
% 186.36/30.75  | | | | | | | | | | | | | |   (406)   ~ (all_57_24 = e1)
% 186.36/30.75  | | | | | | | | | | | | | |   (407)  op(e1, e0) = all_57_24
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | GROUND_INST: instantiating (47) with e2, all_57_24, e0, e1,
% 186.36/30.75  | | | | | | | | | | | | | |              simplifying with (8), (407) gives:
% 186.36/30.75  | | | | | | | | | | | | | |   (408)  all_57_24 = e2
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_52_13, all_57_21, e0,
% 186.36/30.75  | | | | | | | | | | | | | |              e2, simplifying with (65), (397) gives:
% 186.36/30.75  | | | | | | | | | | | | | |   (409)  all_57_21 = all_52_13
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_52_12, all_57_18, e0,
% 186.36/30.75  | | | | | | | | | | | | | |              e3, simplifying with (31), (384) gives:
% 186.36/30.75  | | | | | | | | | | | | | |   (410)  all_57_18 = all_52_12
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | GROUND_INST: instantiating (47) with all_32_1, all_57_18, e0,
% 186.36/30.75  | | | | | | | | | | | | | |              e3, simplifying with (384), (388) gives:
% 186.36/30.75  | | | | | | | | | | | | | |   (411)  all_57_18 = all_32_1
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | COMBINE_EQS: (410), (411) imply:
% 186.36/30.75  | | | | | | | | | | | | | |   (412)  all_52_12 = all_32_1
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | SIMP: (412) implies:
% 186.36/30.75  | | | | | | | | | | | | | |   (413)  all_52_12 = all_32_1
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | COMBINE_EQS: (85), (413) imply:
% 186.36/30.75  | | | | | | | | | | | | | |   (414)  all_54_3 = all_32_1
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | REDUCE: (34), (413) imply:
% 186.36/30.75  | | | | | | | | | | | | | |   (415)   ~ (all_52_13 = all_32_1)
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | SIMP: (415) implies:
% 186.36/30.75  | | | | | | | | | | | | | |   (416)   ~ (all_52_13 = all_32_1)
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | REDUCE: (374), (413) imply:
% 186.36/30.75  | | | | | | | | | | | | | |   (417)   ~ (all_32_1 = e3)
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | REDUCE: (110), (413) imply:
% 186.36/30.75  | | | | | | | | | | | | | |   (418)   ~ (all_32_1 = e2)
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 186.36/30.75  | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | |   (419)  all_54_3 = e3
% 186.36/30.75  | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | COMBINE_EQS: (414), (419) imply:
% 186.36/30.75  | | | | | | | | | | | | | | |   (420)  all_32_1 = e3
% 186.36/30.75  | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | SIMP: (420) implies:
% 186.36/30.75  | | | | | | | | | | | | | | |   (421)  all_32_1 = e3
% 186.36/30.75  | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | REDUCE: (417), (421) imply:
% 186.36/30.75  | | | | | | | | | | | | | | |   (422)  $false
% 186.36/30.75  | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | CLOSE: (422) is inconsistent.
% 186.36/30.75  | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | |   (423)   ~ (all_54_3 = e3)
% 186.36/30.75  | | | | | | | | | | | | | | |   (424)  all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 186.36/30.75  | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | BETA: splitting (424) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | |   (425)  all_54_3 = e2
% 186.36/30.75  | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | REF_CLOSE: (414), (418), (425) are inconsistent by sub-proof
% 186.36/30.75  | | | | | | | | | | | | | | | |            #1435.
% 186.36/30.75  | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | |   (426)   ~ (all_54_3 = e2)
% 186.36/30.75  | | | | | | | | | | | | | | | |   (427)  all_54_3 = e1 | all_54_3 = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | |   (428)  all_56_15 = e0 & op(e0, e0) = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | ALPHA: (428) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | |   (429)  op(e0, e0) = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (47), (375), (429) are inconsistent by
% 186.36/30.75  | | | | | | | | | | | | | | | | |            sub-proof #1540.
% 186.36/30.75  | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | |   (430)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.36/30.75  | | | | | | | | | | | | | | | | |              e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 186.36/30.75  | | | | | | | | | | | | | | | | |              op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 186.36/30.75  | | | | | | | | | | | | | | | | |                e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.36/30.75  | | | | | | | | | | | | | | | | |              e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 186.36/30.75  | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | ALPHA: (430) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | |   (431)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 186.36/30.75  | | | | | | | | | | | | | | | | |            e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | |              e0) = e0)
% 186.36/30.75  | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | BETA: splitting (431) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | |   (432)  all_56_9 = e0 & op(e3, e0) = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | ALPHA: (432) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | |   (433)  all_56_9 = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | BETA: splitting (427) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | |   (434)  all_54_3 = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (387), (414), (434) are inconsistent by sub-proof
% 186.36/30.75  | | | | | | | | | | | | | | | | | | |            #1434.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | |   (435)  all_54_3 = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (435) imply:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | |   (436)  all_32_1 = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | SIMP: (436) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | |   (437)  all_32_1 = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | REDUCE: (416), (437) imply:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | |   (438)   ~ (all_52_13 = e0)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | REDUCE: (417), (437) imply:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | |   (439)   ~ (e3 = e0)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | REDUCE: (418), (437) imply:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | |   (440)   ~ (e2 = e0)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | REDUCE: (387), (437) imply:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | |   (441)   ~ (e1 = e0)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | |   (442)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = e1)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | BETA: splitting (442) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | |   (443)  all_56_0 = e1 & op(e3, e3) = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | ALPHA: (443) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | |   (444)  op(e3, e3) = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (47), (83), (444) are inconsistent by
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1582.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | |   (445)  all_56_1 = e1 & op(e3, e2) = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | ALPHA: (445) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | |   (446)  all_56_1 = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | |   (447)  op(e3, e2) = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | |   (448)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = e3)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (47), (68), (92), (447), (448) are
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1433.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | |   (449)  (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | |            e3 & op(e0, e2) = e3)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (449) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | |   (450)  all_56_7 = e3 & op(e1, e2) = e3
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (450) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | |   (451)  all_56_7 = e3
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | |   (452)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e2) = e0)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (452) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | |   (453)  all_56_6 = e0 & op(e1, e3) = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (453) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | |   (454)  op(e1, e3) = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |   (455)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28)) |
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (455) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (456)  (all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_17) = all_57_2 & op(e3, all_57_18)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_3 & op(e3, all_57_28) = all_57_0 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e3) = e3 & $i(all_57_0) & $i(all_57_2)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & $i(all_57_3) & $i(all_57_17) & $i(all_57_18) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_2 = all_57_28 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17 = e3 & all_57_22 = e3 &  ~ (all_57_0 =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_1 = e2) &  ~ (all_57_3 = e0)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_28 = e1) & op(e3, all_57_16) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_1 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_28) = all_57_0 & op(e3, e3) = all_57_28
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e2) = all_57_16 & op(e3, e1) = e3 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e0) = all_57_18 & op(e1, e3) = e3 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_0) & $i(all_57_1) & $i(all_57_3) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_16) & $i(all_57_18) & $i(all_57_28))
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (456) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (457)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_2 = e1) & 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) & op(e3,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_17) = all_57_2 & op(e3, all_57_18) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = e3 & op(e3, e1) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e3 & $i(all_57_0) & $i(all_57_2) & $i(all_57_3) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_17) & $i(all_57_18) & $i(all_57_28)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (457) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (458)  op(e3, e2) = e3
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (47), (447), (458) are inconsistent by
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1579.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (459)  all_57_2 = all_57_28 & all_57_17 = e3 & all_57_22
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_3 = e0) &  ~ (all_57_28 = e1) & op(e3,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_18) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_3 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = e3 & op(e3, e0) = all_57_18 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_3) & $i(all_57_16) & $i(all_57_18) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (459) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (460)  op(e1, e3) = e3
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (47), (454), (460) are inconsistent by
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1536.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (461)  (all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, all_57_16) = all_57_1 & op(e3, all_57_17)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_2 & op(e3, all_57_28) = all_57_0 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e3) = all_57_28 & op(e3, e2) = all_57_16
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e1) = all_57_17 & op(e3, e0) = e3 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_28)) | (all_57_4 = all_57_29 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16 = e2 & all_57_19 = e2 &  ~ (all_57_5 =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2) &  ~ (all_57_6 = e1) &  ~ (all_57_7 = e0)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e3) & op(e3, e2) = e2 & op(e2,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_20) = all_57_6 & op(e2, all_57_21) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_7 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) = e2 & op(e2, e2) = all_57_29 & op(e2, e1)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_20 & op(e2, e0) = all_57_21 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_5) & $i(all_57_6) & $i(all_57_7) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_20) & $i(all_57_21) & $i(all_57_29))
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (461) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (462)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e3 &  ~ (all_57_0 = e3) &  ~ (all_57_1 = e2) & 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) & op(e3,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_16) = all_57_1 & op(e3, all_57_17) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_2 & op(e3, all_57_28) = all_57_0 & op(e3,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_28 & op(e3, e2) = all_57_16 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = e3 & $i(all_57_0) & $i(all_57_1) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_2) & $i(all_57_16) & $i(all_57_17) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_28)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (12), (16), (21), (23), (32), (35),
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (36), (44), (47), (63), (64), (68), (83), (446),
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (451), (462) are inconsistent by sub-proof #1425.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (463)  all_57_4 = all_57_29 & all_57_16 = e2 & all_57_19
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e2 &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) & 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_7 = e0) &  ~ (all_57_29 = e3) & op(e3,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2) = e2 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21) = all_57_7 & op(e2, all_57_29) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_5 & op(e2, e3) = e2 & op(e2, e2) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_21 & $i(all_57_5) & $i(all_57_6) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_7) & $i(all_57_20) & $i(all_57_21) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_29)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (463) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (464)  op(e3, e2) = e2
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (442) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (465)  all_56_0 = e1 & op(e3, e3) = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (465) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (466)  op(e3, e3) = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (47), (83), (466) are inconsistent by
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1582.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (83), (447), (464) are inconsistent by
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1424.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (467)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e1)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (467) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (468)  all_56_4 = e1 & op(e3, e1) = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (468) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (469)  op(e3, e1) = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (73), (93), (469) are inconsistent by
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1611.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (470)  all_56_9 = e1 & op(e3, e0) = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (470) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (471)  all_56_9 = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (433), (471) are inconsistent by sub-proof
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1484.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |   (472)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29)) |
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (472) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (473)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, all_57_19) = all_57_4 & op(e2, all_57_21)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_7 & op(e2, all_57_29) = all_57_5 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e3) = all_57_19 & op(e2, e2) = all_57_29
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e1) = e2 & op(e2, e0) = all_57_21 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_7) & $i(all_57_19) & $i(all_57_21) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_29)) | (all_57_7 = all_57_29 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4 =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_29 = e0) & op(e2, all_57_19) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_4 & op(e2, all_57_20) = all_57_6 & op(e2,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_29) = all_57_5 & op(e2, e3) = all_57_19
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e2, e2) = all_57_29 & op(e2, e1) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_20 & op(e2, e0) = e2 & op(e0, e2) = e2 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_4) & $i(all_57_5) & $i(all_57_6) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (81), (82), (86), (107), (473) are
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1612.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (474)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) = e1 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, e0) = all_57_24 & $i(all_57_9) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_24) & $i(all_57_30)) | (all_57_9 =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (474) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (475)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) & 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e3) & op(e3,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = e1 & op(e1, e2) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_23) & $i(all_57_24) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (475) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (476)  op(e3, e1) = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (73), (93), (476) are inconsistent by
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1611.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (477)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, all_57_24) = all_57_11 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = e1 & op(e1, e1) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_30 & op(e1, e0) = all_57_24 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_8) & $i(all_57_10) & $i(all_57_11) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_30 = e0) & op(e1, all_57_22) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1) = all_57_30 & op(e1, e0) = e1 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_8) & $i(all_57_9) & $i(all_57_10)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                & $i(all_57_22) & $i(all_57_23) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_15 = e0) & op(e0, all_57_25) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                op(e0, all_57_27) = all_57_14 & op(e0,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_31) = all_57_15 & op(e0, e3) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = all_57_31 & $i(all_57_12) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_13) & $i(all_57_14) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_15) & $i(all_57_25) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    all_57_26 = e0 & op(e2, e0) = e0) |
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                      e0) = e0)))))
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (478)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) & 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1) = e1 & op(e1, all_57_22) = all_57_8 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_24) = all_57_11 & op(e1, all_57_30) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          e1 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_30)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (478) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (479)  op(e2, e1) = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (47), (87), (479) are inconsistent by
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1610.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (480)  op(e0, e1) = all_57_27 & $i(all_57_27) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ((all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_57_30 = e0) & op(e1, all_57_22) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, all_57_30) = all_57_10 & op(e1, e3) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_22 & op(e1, e2) = all_57_23 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1) = all_57_30 & op(e1, e0) = e1 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_22) & $i(all_57_23) & $i(all_57_30))
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) & 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, all_57_25) = all_57_12 & op(e0,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_26) = all_57_13 & op(e0, all_57_27) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_14 & op(e0, all_57_31) = all_57_15 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e0, e3) = all_57_25 & op(e0, e2) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_26 & op(e0, e0) = all_57_31 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_12) & $i(all_57_13) & $i(all_57_14)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & $i(all_57_15) & $i(all_57_25) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  all_57_26 = e0 & op(e2, e0) = e0) |
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                    e0) = e0))))
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (480) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (481)  (all_57_11 = all_57_30 & all_57_24 = e1 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_30 = e0) & op(e1, all_57_22) = all_57_8
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e1, all_57_23) = all_57_9 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_30) = all_57_10 & op(e1, e3) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e0, all_57_27) = all_57_14 & op(e0,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_57_31) = all_57_15 & op(e0, e3) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_57_18 = e0 & all_57_25 = e0 & op(e3,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0) = e0) | (all_57_21 = e0 & all_57_26 =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                all_57_27 = e0 & op(e1, e0) = e0)))
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (481) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (482)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_9 = e2) & 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_22) = all_57_8 & op(e1, all_57_23) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3) = all_57_22 & op(e1, e2) = all_57_23 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_22) & $i(all_57_23) & $i(all_57_30)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (482) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (483)  op(e1, e0) = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (406), (407), (483) are inconsistent by
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1423.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (484)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_25) = all_57_12 & op(e0, all_57_26) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_31) = all_57_15 & op(e0, e3) = all_57_25
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              & all_57_25 = e0 & op(e3, e0) = e0) |
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              op(e1, e0) = e0))
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (484) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (485)  op(e0, e3) = all_57_25
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (486)  all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_57_27 = e0 & op(e1, e0) = e0)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (486) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (487)  all_57_31 = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (30), (47), (481), (487) are inconsistent by
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1583.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (488)   ~ (all_57_31 = e0)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (489)  (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e0) | (all_57_24 = e0 & all_57_27 = e0 &
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            op(e1, e0) = e0)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (63) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (490)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (490) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (491)  all_56_12 = e1 & op(e0, e3) = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (491) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (492)  op(e0, e3) = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (489) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (493)  all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (493) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (494)  all_57_25 = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (485), (494) imply:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (495)  op(e0, e3) = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (47), (492), (495) are inconsistent by
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1589.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (496)  (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1,
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0) = e0)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (496) gives:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (497)  all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (497) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (498)  op(e2, e0) = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (65), (438), (498) are inconsistent by
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1504.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (499)  all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (499) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (500)  all_57_24 = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (408), (500) imply:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (501)  e2 = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (501) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (502)  e2 = e0
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (502) imply:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (503)  $false
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (503) is inconsistent.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (504)  all_56_13 = e1 & op(e0, e2) = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (504) implies:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (505)  all_56_13 = e1
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (21), (32), (35), (47), (64), (68), (83),
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (446), (451), (505) are inconsistent by sub-proof
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #1426.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (506)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (12), (23), (47), (506) are
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1515.
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (507)  all_56_7 = e0 & op(e1, e2) = e0
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (507) implies:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (508)  all_56_7 = e0
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (451), (508) are inconsistent by sub-proof
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | |            #1464.
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | |   (509)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (32), (47), (59), (97), (509) are
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1422.
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | |   (510)  all_56_13 = e3 & op(e0, e2) = e3
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (510) implies:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | |   (511)  all_56_13 = e3
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (63) gives:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | |   (512)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e2) = e1)
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (512) gives:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (513)  all_56_12 = e1 & op(e0, e3) = e1
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (513) implies:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (514)  op(e0, e3) = e1
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (21), (32), (47), (88), (101), (375), (511),
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | |            (514) are inconsistent by sub-proof #1420.
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | |   (515)  all_56_13 = e1 & op(e0, e2) = e1
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (511), (515) are inconsistent by sub-proof
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | |            #1460.
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | |   (516)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | |            e1 & op(e0, e0) = e1)
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (10), (12), (23), (47), (516) are
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1515.
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | |   (517)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | |            & op(e3, e0) = e1)
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | BETA: splitting (517) gives:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | |   (518)  all_56_4 = e1 & op(e3, e1) = e1
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | ALPHA: (518) implies:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | |   (519)  op(e3, e1) = e1
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (73), (93), (519) are inconsistent by
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | |            sub-proof #1611.
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | |   (520)  all_56_9 = e1 & op(e3, e0) = e1
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | ALPHA: (520) implies:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | |   (521)  all_56_9 = e1
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (431) gives:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (432), (521) are inconsistent by sub-proof
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | |            #1505.
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | |   (522)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (522) gives:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | |   (523)  all_56_10 = e0 & op(e2, e0) = e0
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (523) implies:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | |   (524)  op(e2, e0) = e0
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (65), (387), (414), (416), (427), (524) are
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1419.
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | |   (525)  all_56_11 = e0 & op(e1, e0) = e0
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (59), (525) are inconsistent by sub-proof
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | |            #1451.
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | |   (526)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 186.36/30.76  | | | | | | | | | | | | | | | | | |            e0 & op(e1, e0) = e0)
% 186.36/30.76  | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | BETA: splitting (526) gives:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | Case 1:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | |   (527)  all_56_10 = e0 & op(e2, e0) = e0
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | ALPHA: (527) implies:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | |   (528)  op(e2, e0) = e0
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (65), (387), (414), (416), (427), (528) are
% 186.36/30.76  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1419.
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | Case 2:
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | |   (529)  all_56_11 = e0 & op(e1, e0) = e0
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (32), (59), (529) are inconsistent by sub-proof
% 186.36/30.76  | | | | | | | | | | | | | | | | | | |            #1451.
% 186.36/30.76  | | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | | 
% 186.36/30.76  | | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | | 
% 186.36/30.76  | | | | | | | | End of split
% 186.36/30.76  | | | | | | | | 
% 186.36/30.76  | | | | | | | End of split
% 186.36/30.76  | | | | | | | 
% 186.36/30.76  | | | | | | End of split
% 186.36/30.76  | | | | | | 
% 186.36/30.76  | | | | | End of split
% 186.36/30.76  | | | | | 
% 186.36/30.76  | | | | End of split
% 186.36/30.76  | | | | 
% 186.36/30.76  | | | End of split
% 186.36/30.76  | | | 
% 186.36/30.76  | | Case 2:
% 186.36/30.76  | | | 
% 186.36/30.76  | | |   (530)  all_56_15 = e2 & op(e0, e0) = e2
% 186.36/30.76  | | | 
% 186.36/30.76  | | | ALPHA: (530) implies:
% 186.36/30.76  | | |   (531)  op(e0, e0) = e2
% 186.36/30.76  | | | 
% 186.36/30.76  | | | REF_CLOSE: (3), (38), (47), (531) are inconsistent by sub-proof #1511.
% 186.36/30.76  | | | 
% 186.36/30.76  | | End of split
% 186.36/30.76  | | 
% 186.36/30.76  | End of split
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1419 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)  all_54_3 = all_32_1
% 186.36/30.76    (2)   ~ (all_52_13 = all_32_1)
% 186.36/30.76    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.76    (4)  all_54_3 = e1 | all_54_3 = e0
% 186.36/30.76    (5)  op(e2, e0) = all_52_13
% 186.36/30.76    (6)   ~ (all_32_1 = e1)
% 186.36/30.76    (7)  op(e2, e0) = e0
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | BETA: splitting (4) gives:
% 186.36/30.76  | 
% 186.36/30.76  | Case 1:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (8)  all_54_3 = e1
% 186.36/30.76  | | 
% 186.36/30.76  | | REF_CLOSE: (1), (6), (8) are inconsistent by sub-proof #1434.
% 186.36/30.76  | | 
% 186.36/30.76  | Case 2:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (9)  all_54_3 = e0
% 186.36/30.76  | | 
% 186.36/30.76  | | COMBINE_EQS: (1), (9) imply:
% 186.36/30.76  | |   (10)  all_32_1 = e0
% 186.36/30.76  | | 
% 186.36/30.76  | | SIMP: (10) implies:
% 186.36/30.76  | |   (11)  all_32_1 = e0
% 186.36/30.76  | | 
% 186.36/30.76  | | REDUCE: (2), (11) imply:
% 186.36/30.76  | |   (12)   ~ (all_52_13 = e0)
% 186.36/30.76  | | 
% 186.36/30.76  | | REF_CLOSE: (3), (5), (7), (12) are inconsistent by sub-proof #1504.
% 186.36/30.76  | | 
% 186.36/30.76  | End of split
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1420 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)   ~ (e1 = e0)
% 186.36/30.76    (2)  all_56_13 = e3
% 186.36/30.76    (3)   ~ (e3 = e0)
% 186.36/30.76    (4)  op(e0, e3) = e1
% 186.36/30.76    (5)   ~ (e2 = e0)
% 186.36/30.76    (6)  all_56_14 = e2
% 186.36/30.76    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.76    (8)  op(e0, e0) = e3
% 186.36/30.76    (9)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.36/30.76             | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 186.36/30.76               e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.36/30.76               op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | BETA: splitting (9) gives:
% 186.36/30.76  | 
% 186.36/30.76  | Case 1:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (10)  all_56_15 = e0 & op(e0, e0) = e0
% 186.36/30.76  | | 
% 186.36/30.76  | | ALPHA: (10) implies:
% 186.36/30.76  | |   (11)  op(e0, e0) = e0
% 186.36/30.76  | | 
% 186.36/30.76  | | REF_CLOSE: (3), (7), (8), (11) are inconsistent by sub-proof #1540.
% 186.36/30.76  | | 
% 186.36/30.76  | Case 2:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (12)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 186.36/30.76  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 186.36/30.76  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 186.36/30.76  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 186.36/30.76  | | 
% 186.36/30.76  | | ALPHA: (12) implies:
% 186.36/30.76  | |   (13)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.36/30.76  | |           e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.36/30.76  | | 
% 186.36/30.76  | | BETA: splitting (13) gives:
% 186.36/30.76  | | 
% 186.36/30.76  | | Case 1:
% 186.36/30.76  | | | 
% 186.36/30.76  | | |   (14)  all_56_12 = e0 & op(e0, e3) = e0
% 186.36/30.76  | | | 
% 186.36/30.76  | | | ALPHA: (14) implies:
% 186.36/30.76  | | |   (15)  op(e0, e3) = e0
% 186.36/30.76  | | | 
% 186.36/30.76  | | | REF_CLOSE: (1), (4), (7), (15) are inconsistent by sub-proof #1589.
% 186.36/30.76  | | | 
% 186.36/30.76  | | Case 2:
% 186.36/30.76  | | | 
% 186.36/30.76  | | |   (16)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 186.36/30.76  | | |           = e0)
% 186.36/30.76  | | | 
% 186.36/30.76  | | | BETA: splitting (16) gives:
% 186.36/30.76  | | | 
% 186.36/30.76  | | | Case 1:
% 186.36/30.76  | | | | 
% 186.36/30.76  | | | |   (17)  all_56_13 = e0 & op(e0, e2) = e0
% 186.36/30.76  | | | | 
% 186.36/30.76  | | | | REF_CLOSE: (2), (3), (17) are inconsistent by sub-proof #1421.
% 186.36/30.76  | | | | 
% 186.36/30.76  | | | Case 2:
% 186.36/30.76  | | | | 
% 186.36/30.76  | | | |   (18)  all_56_14 = e0 & op(e0, e1) = e0
% 186.36/30.76  | | | | 
% 186.36/30.76  | | | | REF_CLOSE: (5), (6), (18) are inconsistent by sub-proof #1443.
% 186.36/30.76  | | | | 
% 186.36/30.76  | | | End of split
% 186.36/30.76  | | | 
% 186.36/30.76  | | End of split
% 186.36/30.76  | | 
% 186.36/30.76  | End of split
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1421 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)  all_56_13 = e0 & op(e0, e2) = e0
% 186.36/30.76    (2)  all_56_13 = e3
% 186.36/30.76    (3)   ~ (e3 = e0)
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | ALPHA: (1) implies:
% 186.36/30.76  |   (4)  all_56_13 = e0
% 186.36/30.76  | 
% 186.36/30.76  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.76  |   (5)  e3 = e0
% 186.36/30.76  | 
% 186.36/30.76  | REDUCE: (3), (5) imply:
% 186.36/30.76  |   (6)  $false
% 186.36/30.76  | 
% 186.36/30.76  | CLOSE: (6) is inconsistent.
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1422 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.36/30.76    (2)   ~ (e1 = e0)
% 186.36/30.76    (3)   ~ (e2 = e0)
% 186.36/30.76    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.76    (5)  all_56_11 = e2
% 186.36/30.76    (6)  op(e1, e1) = e1
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | BETA: splitting (1) gives:
% 186.36/30.76  | 
% 186.36/30.76  | Case 1:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (7)  all_56_8 = e0 & op(e1, e1) = e0
% 186.36/30.76  | | 
% 186.36/30.76  | | ALPHA: (7) implies:
% 186.36/30.76  | |   (8)  op(e1, e1) = e0
% 186.36/30.76  | | 
% 186.36/30.76  | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #1619.
% 186.36/30.76  | | 
% 186.36/30.76  | Case 2:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (9)  all_56_11 = e0 & op(e1, e0) = e0
% 186.36/30.76  | | 
% 186.36/30.76  | | ALPHA: (9) implies:
% 186.36/30.76  | |   (10)  all_56_11 = e0
% 186.36/30.76  | | 
% 186.36/30.76  | | REF_CLOSE: (3), (5), (10) are inconsistent by sub-proof #1500.
% 186.36/30.76  | | 
% 186.36/30.76  | End of split
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1423 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.76    (2)  op(e1, e0) = all_57_24
% 186.36/30.76    (3)  op(e1, e0) = e1
% 186.36/30.76    (4)   ~ (all_57_24 = e1)
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | GROUND_INST: instantiating (1) with e1, all_57_24, e0, e1, simplifying with
% 186.36/30.76  |              (2), (3) gives:
% 186.36/30.76  |   (5)  all_57_24 = e1
% 186.36/30.76  | 
% 186.36/30.76  | REDUCE: (4), (5) imply:
% 186.36/30.76  |   (6)  $false
% 186.36/30.76  | 
% 186.36/30.76  | CLOSE: (6) is inconsistent.
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1424 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.76    (2)  op(e3, e2) = e2
% 186.36/30.76    (3)  op(e3, e2) = e1
% 186.36/30.76    (4)   ~ (e2 = e1)
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | GROUND_INST: instantiating (1) with e1, e2, e2, e3, simplifying with (2), (3)
% 186.36/30.76  |              gives:
% 186.36/30.76  |   (5)  e2 = e1
% 186.36/30.76  | 
% 186.36/30.76  | REDUCE: (4), (5) imply:
% 186.36/30.76  |   (6)  $false
% 186.36/30.76  | 
% 186.36/30.76  | CLOSE: (6) is inconsistent.
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1425 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)  op(e0, e0) = all_6_2
% 186.36/30.76    (2)   ~ (all_52_11 = e1)
% 186.36/30.76    (3)   ~ (all_6_2 = e1)
% 186.36/30.76    (4)   ~ (e1 = e0)
% 186.36/30.76    (5)   ~ (e3 = e0)
% 186.36/30.76    (6)  op(e0, e1) = all_52_11
% 186.36/30.76    (7)   ~ (e2 = e0)
% 186.36/30.76    (8)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.36/30.76         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.36/30.76    (9)   ~ (e3 = e1)
% 186.36/30.76    (10)  op(e0, e3) = all_52_3
% 186.36/30.76    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.76            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.76    (12)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.36/30.76          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.36/30.76            e1)
% 186.36/30.76    (13)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.36/30.76          (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 186.36/30.76    (14)   ~ (e3 = e2)
% 186.36/30.76    (15)  all_56_1 = e1
% 186.36/30.76    (16)  all_57_3 = all_57_28 & all_57_18 = e3 & all_57_25 = e3 &  ~ (all_57_0 =
% 186.36/30.76            e3) &  ~ (all_57_1 = e2) &  ~ (all_57_2 = e1) &  ~ (all_57_28 = e0) &
% 186.36/30.76          op(e3, all_57_16) = all_57_1 & op(e3, all_57_17) = all_57_2 & op(e3,
% 186.36/30.76            all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) =
% 186.36/30.76          all_57_16 & op(e3, e1) = all_57_17 & op(e3, e0) = e3 & op(e0, e3) = e3 &
% 186.36/30.76          $i(all_57_0) & $i(all_57_1) & $i(all_57_2) & $i(all_57_16) &
% 186.36/30.76          $i(all_57_17) & $i(all_57_28)
% 186.36/30.76    (17)   ~ (e2 = e1)
% 186.36/30.76    (18)  all_56_7 = e3
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | ALPHA: (16) implies:
% 186.36/30.76  |   (19)  op(e0, e3) = e3
% 186.36/30.76  | 
% 186.36/30.76  | BETA: splitting (12) gives:
% 186.36/30.76  | 
% 186.36/30.76  | Case 1:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (20)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 186.36/30.76  | |           e1)
% 186.36/30.76  | | 
% 186.36/30.76  | | BETA: splitting (20) gives:
% 186.36/30.76  | | 
% 186.36/30.76  | | Case 1:
% 186.36/30.76  | | | 
% 186.36/30.76  | | |   (21)  all_56_12 = e1 & op(e0, e3) = e1
% 186.36/30.76  | | | 
% 186.36/30.76  | | | ALPHA: (21) implies:
% 186.36/30.76  | | |   (22)  op(e0, e3) = e1
% 186.36/30.76  | | | 
% 186.36/30.76  | | | REF_CLOSE: (9), (10), (11), (19), (22) are inconsistent by sub-proof
% 186.36/30.76  | | |            #1529.
% 186.36/30.76  | | | 
% 186.36/30.76  | | Case 2:
% 186.36/30.76  | | | 
% 186.36/30.76  | | |   (23)  all_56_13 = e1 & op(e0, e2) = e1
% 186.36/30.76  | | | 
% 186.36/30.76  | | | ALPHA: (23) implies:
% 186.36/30.76  | | |   (24)  all_56_13 = e1
% 186.36/30.76  | | | 
% 186.36/30.76  | | | REF_CLOSE: (4), (5), (7), (8), (11), (13), (14), (15), (17), (18), (24)
% 186.36/30.76  | | |            are inconsistent by sub-proof #1426.
% 186.36/30.76  | | | 
% 186.36/30.76  | | End of split
% 186.36/30.76  | | 
% 186.36/30.76  | Case 2:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (25)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.36/30.76  | |           e1)
% 186.36/30.76  | | 
% 186.36/30.76  | | REF_CLOSE: (1), (2), (3), (6), (11), (25) are inconsistent by sub-proof
% 186.36/30.76  | |            #1515.
% 186.36/30.76  | | 
% 186.36/30.76  | End of split
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1426 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)   ~ (e1 = e0)
% 186.36/30.76    (2)   ~ (e3 = e0)
% 186.36/30.76    (3)   ~ (e2 = e0)
% 186.36/30.76    (4)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.36/30.76         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.36/30.76    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.76    (6)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.36/30.76         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 186.36/30.76    (7)   ~ (e3 = e2)
% 186.36/30.76    (8)  all_56_1 = e1
% 186.36/30.76    (9)   ~ (e2 = e1)
% 186.36/30.76    (10)  all_56_13 = e1
% 186.36/30.76    (11)  all_56_7 = e3
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | BETA: splitting (6) gives:
% 186.36/30.76  | 
% 186.36/30.76  | Case 1:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (12)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 186.36/30.76  | |           e0)
% 186.36/30.76  | | 
% 186.36/30.76  | | BETA: splitting (12) gives:
% 186.36/30.76  | | 
% 186.36/30.76  | | Case 1:
% 186.36/30.76  | | | 
% 186.36/30.76  | | |   (13)  all_56_1 = e0 & op(e3, e2) = e0
% 186.36/30.76  | | | 
% 186.36/30.76  | | | ALPHA: (13) implies:
% 186.36/30.76  | | |   (14)  all_56_1 = e0
% 186.36/30.76  | | | 
% 186.36/30.76  | | | REF_CLOSE: (1), (8), (14) are inconsistent by sub-proof #1432.
% 186.36/30.76  | | | 
% 186.36/30.76  | | Case 2:
% 186.36/30.76  | | | 
% 186.36/30.76  | | |   (15)  all_56_3 = e0 & op(e2, e2) = e0
% 186.36/30.76  | | | 
% 186.36/30.76  | | | ALPHA: (15) implies:
% 186.36/30.76  | | |   (16)  op(e2, e2) = e0
% 186.36/30.76  | | | 
% 186.36/30.76  | | | REF_CLOSE: (3), (4), (5), (7), (8), (9), (10), (11), (16) are inconsistent
% 186.36/30.76  | | |            by sub-proof #1428.
% 186.36/30.76  | | | 
% 186.36/30.76  | | End of split
% 186.36/30.76  | | 
% 186.36/30.76  | Case 2:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (17)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.36/30.76  | |           e0)
% 186.36/30.76  | | 
% 186.36/30.76  | | BETA: splitting (17) gives:
% 186.36/30.76  | | 
% 186.36/30.76  | | Case 1:
% 186.36/30.76  | | | 
% 186.36/30.76  | | |   (18)  all_56_7 = e0 & op(e1, e2) = e0
% 186.36/30.76  | | | 
% 186.36/30.76  | | | ALPHA: (18) implies:
% 186.36/30.76  | | |   (19)  all_56_7 = e0
% 186.36/30.76  | | | 
% 186.36/30.76  | | | REF_CLOSE: (2), (11), (19) are inconsistent by sub-proof #1464.
% 186.36/30.76  | | | 
% 186.36/30.76  | | Case 2:
% 186.36/30.76  | | | 
% 186.36/30.76  | | |   (20)  all_56_13 = e0 & op(e0, e2) = e0
% 186.36/30.76  | | | 
% 186.36/30.76  | | | ALPHA: (20) implies:
% 186.36/30.76  | | |   (21)  all_56_13 = e0
% 186.36/30.76  | | | 
% 186.36/30.76  | | | REF_CLOSE: (1), (10), (21) are inconsistent by sub-proof #1427.
% 186.36/30.76  | | | 
% 186.36/30.76  | | End of split
% 186.36/30.76  | | 
% 186.36/30.76  | End of split
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1427 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)  all_56_13 = e1
% 186.36/30.76    (2)  all_56_13 = e0
% 186.36/30.76    (3)   ~ (e1 = e0)
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.76  |   (4)  e1 = e0
% 186.36/30.76  | 
% 186.36/30.76  | SIMP: (4) implies:
% 186.36/30.76  |   (5)  e1 = e0
% 186.36/30.76  | 
% 186.36/30.76  | REDUCE: (3), (5) imply:
% 186.36/30.76  |   (6)  $false
% 186.36/30.76  | 
% 186.36/30.76  | CLOSE: (6) is inconsistent.
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1428 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)   ~ (e2 = e0)
% 186.36/30.76    (2)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2) |
% 186.36/30.76         (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.36/30.76    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.76    (4)   ~ (e3 = e2)
% 186.36/30.76    (5)  all_56_1 = e1
% 186.36/30.76    (6)   ~ (e2 = e1)
% 186.36/30.76    (7)  all_56_13 = e1
% 186.36/30.76    (8)  all_56_7 = e3
% 186.36/30.76    (9)  op(e2, e2) = e0
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | BETA: splitting (2) gives:
% 186.36/30.76  | 
% 186.36/30.76  | Case 1:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (10)  (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 186.36/30.76  | |           e2)
% 186.36/30.76  | | 
% 186.36/30.76  | | BETA: splitting (10) gives:
% 186.36/30.76  | | 
% 186.36/30.76  | | Case 1:
% 186.36/30.76  | | | 
% 186.36/30.76  | | |   (11)  all_56_1 = e2 & op(e3, e2) = e2
% 186.36/30.76  | | | 
% 186.36/30.76  | | | REF_CLOSE: (5), (6), (11) are inconsistent by sub-proof #1431.
% 186.36/30.76  | | | 
% 186.36/30.76  | | Case 2:
% 186.36/30.76  | | | 
% 186.36/30.76  | | |   (12)  all_56_3 = e2 & op(e2, e2) = e2
% 186.36/30.76  | | | 
% 186.36/30.76  | | | ALPHA: (12) implies:
% 186.36/30.76  | | |   (13)  op(e2, e2) = e2
% 186.36/30.76  | | | 
% 186.36/30.76  | | | REF_CLOSE: (1), (3), (9), (13) are inconsistent by sub-proof #1586.
% 186.36/30.76  | | | 
% 186.36/30.76  | | End of split
% 186.36/30.76  | | 
% 186.36/30.76  | Case 2:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (14)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 186.36/30.76  | |           e2)
% 186.36/30.76  | | 
% 186.36/30.76  | | REF_CLOSE: (4), (6), (7), (8), (14) are inconsistent by sub-proof #1429.
% 186.36/30.76  | | 
% 186.36/30.76  | End of split
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1429 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)   ~ (e3 = e2)
% 186.36/30.76    (2)  (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.36/30.76    (3)   ~ (e2 = e1)
% 186.36/30.76    (4)  all_56_13 = e1
% 186.36/30.76    (5)  all_56_7 = e3
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | BETA: splitting (2) gives:
% 186.36/30.76  | 
% 186.36/30.76  | Case 1:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (6)  all_56_7 = e2 & op(e1, e2) = e2
% 186.36/30.76  | | 
% 186.36/30.76  | | ALPHA: (6) implies:
% 186.36/30.76  | |   (7)  all_56_7 = e2
% 186.36/30.76  | | 
% 186.36/30.76  | | REF_CLOSE: (1), (5), (7) are inconsistent by sub-proof #1430.
% 186.36/30.76  | | 
% 186.36/30.76  | Case 2:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (8)  all_56_13 = e2 & op(e0, e2) = e2
% 186.36/30.76  | | 
% 186.36/30.76  | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #1513.
% 186.36/30.76  | | 
% 186.36/30.76  | End of split
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1430 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)  all_56_7 = e3
% 186.36/30.76    (2)  all_56_7 = e2
% 186.36/30.76    (3)   ~ (e3 = e2)
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.76  |   (4)  e3 = e2
% 186.36/30.76  | 
% 186.36/30.76  | SIMP: (4) implies:
% 186.36/30.76  |   (5)  e3 = e2
% 186.36/30.76  | 
% 186.36/30.76  | REDUCE: (3), (5) imply:
% 186.36/30.76  |   (6)  $false
% 186.36/30.76  | 
% 186.36/30.76  | CLOSE: (6) is inconsistent.
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1431 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)  all_56_1 = e2 & op(e3, e2) = e2
% 186.36/30.76    (2)  all_56_1 = e1
% 186.36/30.76    (3)   ~ (e2 = e1)
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | ALPHA: (1) implies:
% 186.36/30.76  |   (4)  all_56_1 = e2
% 186.36/30.76  | 
% 186.36/30.76  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.76  |   (5)  e2 = e1
% 186.36/30.76  | 
% 186.36/30.76  | REDUCE: (3), (5) imply:
% 186.36/30.76  |   (6)  $false
% 186.36/30.76  | 
% 186.36/30.76  | CLOSE: (6) is inconsistent.
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1432 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)  all_56_1 = e1
% 186.36/30.76    (2)  all_56_1 = e0
% 186.36/30.76    (3)   ~ (e1 = e0)
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.76  |   (4)  e1 = e0
% 186.36/30.76  | 
% 186.36/30.76  | SIMP: (4) implies:
% 186.36/30.76  |   (5)  e1 = e0
% 186.36/30.76  | 
% 186.36/30.76  | REDUCE: (3), (5) imply:
% 186.36/30.76  |   (6)  $false
% 186.36/30.76  | 
% 186.36/30.76  | CLOSE: (6) is inconsistent.
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1433 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)   ~ (e3 = e1)
% 186.36/30.76    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.76    (3)   ~ (e3 = e2)
% 186.36/30.76    (4)  op(e3, e2) = e1
% 186.36/30.76    (5)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 186.36/30.76    (6)  op(e2, e2) = e2
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | BETA: splitting (5) gives:
% 186.36/30.76  | 
% 186.36/30.76  | Case 1:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (7)  all_56_1 = e3 & op(e3, e2) = e3
% 186.36/30.76  | | 
% 186.36/30.76  | | ALPHA: (7) implies:
% 186.36/30.76  | |   (8)  op(e3, e2) = e3
% 186.36/30.76  | | 
% 186.36/30.76  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1579.
% 186.36/30.76  | | 
% 186.36/30.76  | Case 2:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (9)  all_56_3 = e3 & op(e2, e2) = e3
% 186.36/30.76  | | 
% 186.36/30.76  | | ALPHA: (9) implies:
% 186.36/30.76  | |   (10)  op(e2, e2) = e3
% 186.36/30.76  | | 
% 186.36/30.76  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1602.
% 186.36/30.76  | | 
% 186.36/30.76  | End of split
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1434 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)  all_54_3 = all_32_1
% 186.36/30.76    (2)  all_54_3 = e1
% 186.36/30.76    (3)   ~ (all_32_1 = e1)
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.76  |   (4)  all_32_1 = e1
% 186.36/30.76  | 
% 186.36/30.76  | SIMP: (4) implies:
% 186.36/30.76  |   (5)  all_32_1 = e1
% 186.36/30.76  | 
% 186.36/30.76  | REDUCE: (3), (5) imply:
% 186.36/30.76  |   (6)  $false
% 186.36/30.76  | 
% 186.36/30.76  | CLOSE: (6) is inconsistent.
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1435 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)  all_54_3 = all_32_1
% 186.36/30.76    (2)  all_54_3 = e2
% 186.36/30.76    (3)   ~ (all_32_1 = e2)
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.76  |   (4)  all_32_1 = e2
% 186.36/30.76  | 
% 186.36/30.76  | SIMP: (4) implies:
% 186.36/30.76  |   (5)  all_32_1 = e2
% 186.36/30.76  | 
% 186.36/30.76  | REDUCE: (3), (5) imply:
% 186.36/30.76  |   (6)  $false
% 186.36/30.76  | 
% 186.36/30.76  | CLOSE: (6) is inconsistent.
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1436 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)   ~ (all_32_0 = e2) & op(e3, e3) = all_32_0 & $i(all_32_0)
% 186.36/30.76    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.76    (3)  op(e3, e3) = e2
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | ALPHA: (1) implies:
% 186.36/30.76  |   (4)   ~ (all_32_0 = e2)
% 186.36/30.76  |   (5)  op(e3, e3) = all_32_0
% 186.36/30.76  | 
% 186.36/30.76  | GROUND_INST: instantiating (2) with e2, all_32_0, e3, e3, simplifying with
% 186.36/30.76  |              (3), (5) gives:
% 186.36/30.76  |   (6)  all_32_0 = e2
% 186.36/30.76  | 
% 186.36/30.76  | REDUCE: (4), (6) imply:
% 186.36/30.76  |   (7)  $false
% 186.36/30.76  | 
% 186.36/30.76  | CLOSE: (7) is inconsistent.
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1437 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)  all_56_14 = e2
% 186.36/30.76    (2)  all_56_14 = e0
% 186.36/30.76    (3)   ~ (e2 = e0)
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.76  |   (4)  e2 = e0
% 186.36/30.76  | 
% 186.36/30.76  | SIMP: (4) implies:
% 186.36/30.76  |   (5)  e2 = e0
% 186.36/30.76  | 
% 186.36/30.76  | REDUCE: (3), (5) imply:
% 186.36/30.76  |   (6)  $false
% 186.36/30.76  | 
% 186.36/30.76  | CLOSE: (6) is inconsistent.
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1438 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)  op(e0, e0) = all_6_2
% 186.36/30.76    (2)   ~ (all_6_2 = e1)
% 186.36/30.76    (3)   ~ (e1 = e0)
% 186.36/30.76    (4)  op(e0, e0) = e0
% 186.36/30.76    (5)   ~ (e3 = e0)
% 186.36/30.76    (6)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 186.36/30.76    (7)   ~ (e2 = e0)
% 186.36/30.76    (8)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 186.36/30.76         (all_56_14 = e0 & op(e0, e1) = e0)
% 186.36/30.76    (9)   ~ (e3 = e1)
% 186.36/30.76    (10)   ~ (all_6_2 = e2)
% 186.36/30.76    (11)   ~ (all_52_7 = e0)
% 186.36/30.76    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.76            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.76    (13)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.36/30.76          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.36/30.76            e1)
% 186.36/30.76    (14)   ~ (e3 = e2)
% 186.36/30.76    (15)   ~ (e2 = e1)
% 186.36/30.76    (16)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.36/30.76          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.36/30.76            e2)
% 186.36/30.76    (17)  op(e0, e2) = all_52_7
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | BETA: splitting (6) gives:
% 186.36/30.76  | 
% 186.36/30.76  | Case 1:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (18)  all_56_14 = e3 & op(e0, e1) = e3
% 186.36/30.76  | | 
% 186.36/30.76  | | ALPHA: (18) implies:
% 186.36/30.76  | |   (19)  all_56_14 = e3
% 186.36/30.76  | | 
% 186.36/30.76  | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (9), (10), (11), (12), (13), (14),
% 186.36/30.76  | |            (15), (16), (17), (19) are inconsistent by sub-proof #1439.
% 186.36/30.76  | | 
% 186.36/30.76  | Case 2:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (20)  all_56_15 = e3 & op(e0, e0) = e3
% 186.36/30.76  | | 
% 186.36/30.76  | | ALPHA: (20) implies:
% 186.36/30.76  | |   (21)  op(e0, e0) = e3
% 186.36/30.76  | | 
% 186.36/30.76  | | REF_CLOSE: (4), (5), (12), (21) are inconsistent by sub-proof #1540.
% 186.36/30.76  | | 
% 186.36/30.76  | End of split
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1439 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)  op(e0, e0) = all_6_2
% 186.36/30.76    (2)   ~ (all_6_2 = e1)
% 186.36/30.76    (3)   ~ (e1 = e0)
% 186.36/30.76    (4)   ~ (e3 = e0)
% 186.36/30.76    (5)   ~ (e2 = e0)
% 186.36/30.76    (6)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 186.36/30.76         (all_56_14 = e0 & op(e0, e1) = e0)
% 186.36/30.76    (7)   ~ (e3 = e1)
% 186.36/30.76    (8)   ~ (all_6_2 = e2)
% 186.36/30.76    (9)   ~ (all_52_7 = e0)
% 186.36/30.76    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.76            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.76    (11)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.36/30.76          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.36/30.76            e1)
% 186.36/30.76    (12)   ~ (e3 = e2)
% 186.36/30.76    (13)  all_56_14 = e3
% 186.36/30.76    (14)   ~ (e2 = e1)
% 186.36/30.76    (15)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.36/30.76          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.36/30.76            e2)
% 186.36/30.76    (16)  op(e0, e2) = all_52_7
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | BETA: splitting (6) gives:
% 186.36/30.76  | 
% 186.36/30.76  | Case 1:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (17)  all_56_12 = e0 & op(e0, e3) = e0
% 186.36/30.76  | | 
% 186.36/30.76  | | ALPHA: (17) implies:
% 186.36/30.76  | |   (18)  all_56_12 = e0
% 186.36/30.76  | |   (19)  op(e0, e3) = e0
% 186.36/30.76  | | 
% 186.36/30.76  | | REF_CLOSE: (1), (2), (3), (5), (7), (8), (10), (11), (12), (13), (14), (15),
% 186.36/30.76  | |            (18), (19) are inconsistent by sub-proof #1506.
% 186.36/30.76  | | 
% 186.36/30.76  | Case 2:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (20)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 186.36/30.76  | |           e0)
% 186.36/30.76  | | 
% 186.36/30.76  | | REF_CLOSE: (4), (9), (10), (13), (16), (20) are inconsistent by sub-proof
% 186.36/30.76  | |            #1440.
% 186.36/30.76  | | 
% 186.36/30.76  | End of split
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1440 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)   ~ (e3 = e0)
% 186.36/30.76    (2)   ~ (all_52_7 = e0)
% 186.36/30.76    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.76           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.76    (4)  all_56_14 = e3
% 186.36/30.76    (5)  op(e0, e2) = all_52_7
% 186.36/30.76    (6)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.36/30.76  
% 186.36/30.76  Begin of proof
% 186.36/30.76  | 
% 186.36/30.76  | BETA: splitting (6) gives:
% 186.36/30.76  | 
% 186.36/30.76  | Case 1:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (7)  all_56_13 = e0 & op(e0, e2) = e0
% 186.36/30.76  | | 
% 186.36/30.76  | | ALPHA: (7) implies:
% 186.36/30.76  | |   (8)  op(e0, e2) = e0
% 186.36/30.76  | | 
% 186.36/30.76  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1463.
% 186.36/30.76  | | 
% 186.36/30.76  | Case 2:
% 186.36/30.76  | | 
% 186.36/30.76  | |   (9)  all_56_14 = e0 & op(e0, e1) = e0
% 186.36/30.76  | | 
% 186.36/30.76  | | ALPHA: (9) implies:
% 186.36/30.76  | |   (10)  all_56_14 = e0
% 186.36/30.76  | | 
% 186.36/30.76  | | REF_CLOSE: (1), (4), (10) are inconsistent by sub-proof #1470.
% 186.36/30.76  | | 
% 186.36/30.76  | End of split
% 186.36/30.76  | 
% 186.36/30.76  End of proof
% 186.36/30.76  
% 186.36/30.76  Sub-proof #1441 shows that the following formulas are inconsistent:
% 186.36/30.76  ----------------------------------------------------------------
% 186.36/30.76    (1)  op(e0, e0) = all_6_2
% 186.36/30.76    (2)   ~ (all_52_11 = e1)
% 186.36/30.76    (3)   ~ (all_6_2 = e1)
% 186.36/30.76    (4)   ~ (e1 = e0)
% 186.36/30.76    (5)  all_56_13 = e3
% 186.36/30.76    (6)  op(e0, e1) = all_52_11
% 186.36/30.76    (7)   ~ (e2 = e0)
% 186.36/30.77    (8)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 186.36/30.77         (all_56_14 = e0 & op(e0, e1) = e0)
% 186.36/30.77    (9)   ~ (e3 = e1)
% 186.36/30.77    (10)  all_56_14 = e2
% 186.36/30.77    (11)   ~ (all_52_7 = e0)
% 186.36/30.77    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (13)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.36/30.77          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.36/30.77            e1)
% 186.36/30.77    (14)  op(e0, e2) = all_52_7
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | BETA: splitting (13) gives:
% 186.36/30.77  | 
% 186.36/30.77  | Case 1:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (15)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 186.36/30.77  | |           e1)
% 186.36/30.77  | | 
% 186.36/30.77  | | BETA: splitting (15) gives:
% 186.36/30.77  | | 
% 186.36/30.77  | | Case 1:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (16)  all_56_12 = e1 & op(e0, e3) = e1
% 186.36/30.77  | | | 
% 186.36/30.77  | | | ALPHA: (16) implies:
% 186.36/30.77  | | |   (17)  all_56_12 = e1
% 186.36/30.77  | | | 
% 186.36/30.77  | | | REF_CLOSE: (4), (7), (8), (10), (11), (12), (14), (17) are inconsistent by
% 186.36/30.77  | | |            sub-proof #1442.
% 186.36/30.77  | | | 
% 186.36/30.77  | | Case 2:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (18)  all_56_13 = e1 & op(e0, e2) = e1
% 186.36/30.77  | | | 
% 186.36/30.77  | | | REF_CLOSE: (5), (9), (18) are inconsistent by sub-proof #1460.
% 186.36/30.77  | | | 
% 186.36/30.77  | | End of split
% 186.36/30.77  | | 
% 186.36/30.77  | Case 2:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (19)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.36/30.77  | |           e1)
% 186.36/30.77  | | 
% 186.36/30.77  | | REF_CLOSE: (1), (2), (3), (6), (12), (19) are inconsistent by sub-proof
% 186.36/30.77  | |            #1515.
% 186.36/30.77  | | 
% 186.36/30.77  | End of split
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1442 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)   ~ (e1 = e0)
% 186.36/30.77    (2)   ~ (e2 = e0)
% 186.36/30.77    (3)  (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 186.36/30.77         (all_56_14 = e0 & op(e0, e1) = e0)
% 186.36/30.77    (4)  all_56_14 = e2
% 186.36/30.77    (5)   ~ (all_52_7 = e0)
% 186.36/30.77    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (7)  all_56_12 = e1
% 186.36/30.77    (8)  op(e0, e2) = all_52_7
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | BETA: splitting (3) gives:
% 186.36/30.77  | 
% 186.36/30.77  | Case 1:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (9)  all_56_12 = e0 & op(e0, e3) = e0
% 186.36/30.77  | | 
% 186.36/30.77  | | REF_CLOSE: (1), (7), (9) are inconsistent by sub-proof #1444.
% 186.36/30.77  | | 
% 186.36/30.77  | Case 2:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (10)  (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 186.36/30.77  | |           e0)
% 186.36/30.77  | | 
% 186.36/30.77  | | BETA: splitting (10) gives:
% 186.36/30.77  | | 
% 186.36/30.77  | | Case 1:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (11)  all_56_13 = e0 & op(e0, e2) = e0
% 186.36/30.77  | | | 
% 186.36/30.77  | | | ALPHA: (11) implies:
% 186.36/30.77  | | |   (12)  op(e0, e2) = e0
% 186.36/30.77  | | | 
% 186.36/30.77  | | | REF_CLOSE: (5), (6), (8), (12) are inconsistent by sub-proof #1463.
% 186.36/30.77  | | | 
% 186.36/30.77  | | Case 2:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (13)  all_56_14 = e0 & op(e0, e1) = e0
% 186.36/30.77  | | | 
% 186.36/30.77  | | | REF_CLOSE: (2), (4), (13) are inconsistent by sub-proof #1443.
% 186.36/30.77  | | | 
% 186.36/30.77  | | End of split
% 186.36/30.77  | | 
% 186.36/30.77  | End of split
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1443 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)  all_56_14 = e0 & op(e0, e1) = e0
% 186.36/30.77    (2)  all_56_14 = e2
% 186.36/30.77    (3)   ~ (e2 = e0)
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | ALPHA: (1) implies:
% 186.36/30.77  |   (4)  all_56_14 = e0
% 186.36/30.77  | 
% 186.36/30.77  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.77  |   (5)  e2 = e0
% 186.36/30.77  | 
% 186.36/30.77  | REDUCE: (3), (5) imply:
% 186.36/30.77  |   (6)  $false
% 186.36/30.77  | 
% 186.36/30.77  | CLOSE: (6) is inconsistent.
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1444 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)  all_56_12 = e0 & op(e0, e3) = e0
% 186.36/30.77    (2)  all_56_12 = e1
% 186.36/30.77    (3)   ~ (e1 = e0)
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | ALPHA: (1) implies:
% 186.36/30.77  |   (4)  all_56_12 = e0
% 186.36/30.77  | 
% 186.36/30.77  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.77  |   (5)  e1 = e0
% 186.36/30.77  | 
% 186.36/30.77  | REDUCE: (3), (5) imply:
% 186.36/30.77  |   (6)  $false
% 186.36/30.77  | 
% 186.36/30.77  | CLOSE: (6) is inconsistent.
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1445 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)   ~ (all_52_8 = e3)
% 186.36/30.77    (2)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 186.36/30.77    (3)   ~ (all_52_8 = all_14_2)
% 186.36/30.77    (4)  op(e1, e1) = e3
% 186.36/30.77    (5)  op(e1, e1) = all_14_2
% 186.36/30.77    (6)  all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 186.36/30.77    (7)  all_54_10 = all_14_2
% 186.36/30.77    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (9)   ~ (all_14_2 = e3)
% 186.36/30.77    (10)   ~ (all_52_8 = e2)
% 186.36/30.77    (11)  all_54_2 = all_52_8
% 186.36/30.77    (12)   ~ (all_14_2 = e2)
% 186.36/30.77    (13)   ~ (all_52_8 = e1)
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | BETA: splitting (6) gives:
% 186.36/30.77  | 
% 186.36/30.77  | Case 1:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (14)  all_54_2 = e3
% 186.36/30.77  | | 
% 186.36/30.77  | | COMBINE_EQS: (11), (14) imply:
% 186.36/30.77  | |   (15)  all_52_8 = e3
% 186.36/30.77  | | 
% 186.36/30.77  | | REDUCE: (1), (15) imply:
% 186.36/30.77  | |   (16)  $false
% 186.36/30.77  | | 
% 186.36/30.77  | | CLOSE: (16) is inconsistent.
% 186.36/30.77  | | 
% 186.36/30.77  | Case 2:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (17)  all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 186.36/30.77  | | 
% 186.36/30.77  | | BETA: splitting (17) gives:
% 186.36/30.77  | | 
% 186.36/30.77  | | Case 1:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (18)  all_54_2 = e2
% 186.36/30.77  | | | 
% 186.36/30.77  | | | COMBINE_EQS: (11), (18) imply:
% 186.36/30.77  | | |   (19)  all_52_8 = e2
% 186.36/30.77  | | | 
% 186.36/30.77  | | | REDUCE: (10), (19) imply:
% 186.36/30.77  | | |   (20)  $false
% 186.36/30.77  | | | 
% 186.36/30.77  | | | CLOSE: (20) is inconsistent.
% 186.36/30.77  | | | 
% 186.36/30.77  | | Case 2:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (21)  all_54_2 = e1 | all_54_2 = e0
% 186.36/30.77  | | | 
% 186.36/30.77  | | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (11), (12), (13), (21) are
% 186.36/30.77  | | |            inconsistent by sub-proof #1446.
% 186.36/30.77  | | | 
% 186.36/30.77  | | End of split
% 186.36/30.77  | | 
% 186.36/30.77  | End of split
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1446 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 186.36/30.77    (2)   ~ (all_52_8 = all_14_2)
% 186.36/30.77    (3)  op(e1, e1) = e3
% 186.36/30.77    (4)  op(e1, e1) = all_14_2
% 186.36/30.77    (5)  all_54_10 = all_14_2
% 186.36/30.77    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (7)   ~ (all_14_2 = e3)
% 186.36/30.77    (8)  all_54_2 = e1 | all_54_2 = e0
% 186.36/30.77    (9)  all_54_2 = all_52_8
% 186.36/30.77    (10)   ~ (all_14_2 = e2)
% 186.36/30.77    (11)   ~ (all_52_8 = e1)
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | BETA: splitting (8) gives:
% 186.36/30.77  | 
% 186.36/30.77  | Case 1:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (12)  all_54_2 = e1
% 186.36/30.77  | | 
% 186.36/30.77  | | COMBINE_EQS: (9), (12) imply:
% 186.36/30.77  | |   (13)  all_52_8 = e1
% 186.36/30.77  | | 
% 186.36/30.77  | | REDUCE: (11), (13) imply:
% 186.36/30.77  | |   (14)  $false
% 186.36/30.77  | | 
% 186.36/30.77  | | CLOSE: (14) is inconsistent.
% 186.36/30.77  | | 
% 186.36/30.77  | Case 2:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (15)  all_54_2 = e0
% 186.36/30.77  | | 
% 186.36/30.77  | | COMBINE_EQS: (9), (15) imply:
% 186.36/30.77  | |   (16)  all_52_8 = e0
% 186.36/30.77  | | 
% 186.36/30.77  | | REDUCE: (2), (16) imply:
% 186.36/30.77  | |   (17)   ~ (all_14_2 = e0)
% 186.36/30.77  | | 
% 186.36/30.77  | | SIMP: (17) implies:
% 186.36/30.77  | |   (18)   ~ (all_14_2 = e0)
% 186.36/30.77  | | 
% 186.36/30.77  | | BETA: splitting (1) gives:
% 186.36/30.77  | | 
% 186.36/30.77  | | Case 1:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (19)  all_54_10 = e3
% 186.36/30.77  | | | 
% 186.36/30.77  | | | REF_CLOSE: (5), (7), (19) are inconsistent by sub-proof #1621.
% 186.36/30.77  | | | 
% 186.36/30.77  | | Case 2:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (20)   ~ (all_54_10 = e3)
% 186.36/30.77  | | |   (21)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 186.36/30.77  | | | 
% 186.36/30.77  | | | BETA: splitting (21) gives:
% 186.36/30.77  | | | 
% 186.36/30.77  | | | Case 1:
% 186.36/30.77  | | | | 
% 186.36/30.77  | | | |   (22)  all_54_10 = e2
% 186.36/30.77  | | | | 
% 186.36/30.77  | | | | REF_CLOSE: (5), (10), (22) are inconsistent by sub-proof #1620.
% 186.36/30.77  | | | | 
% 186.36/30.77  | | | Case 2:
% 186.36/30.77  | | | | 
% 186.36/30.77  | | | |   (23)  all_54_10 = e1 | all_54_10 = e0
% 186.36/30.77  | | | | 
% 186.36/30.77  | | | | REF_CLOSE: (3), (4), (5), (6), (7), (18), (23) are inconsistent by
% 186.36/30.77  | | | |            sub-proof #1447.
% 186.36/30.77  | | | | 
% 186.36/30.77  | | | End of split
% 186.36/30.77  | | | 
% 186.36/30.77  | | End of split
% 186.36/30.77  | | 
% 186.36/30.77  | End of split
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1447 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)  op(e1, e1) = e3
% 186.36/30.77    (2)  op(e1, e1) = all_14_2
% 186.36/30.77    (3)   ~ (all_14_2 = e0)
% 186.36/30.77    (4)  all_54_10 = all_14_2
% 186.36/30.77    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (6)   ~ (all_14_2 = e3)
% 186.36/30.77    (7)  all_54_10 = e1 | all_54_10 = e0
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | BETA: splitting (7) gives:
% 186.36/30.77  | 
% 186.36/30.77  | Case 1:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (8)  all_54_10 = e1
% 186.36/30.77  | | 
% 186.36/30.77  | | COMBINE_EQS: (4), (8) imply:
% 186.36/30.77  | |   (9)  all_14_2 = e1
% 186.36/30.77  | | 
% 186.36/30.77  | | SIMP: (9) implies:
% 186.36/30.77  | |   (10)  all_14_2 = e1
% 186.36/30.77  | | 
% 186.36/30.77  | | REDUCE: (6), (10) imply:
% 186.36/30.77  | |   (11)   ~ (e3 = e1)
% 186.36/30.77  | | 
% 186.36/30.77  | | SIMP: (11) implies:
% 186.36/30.77  | |   (12)   ~ (e3 = e1)
% 186.36/30.77  | | 
% 186.36/30.77  | | REDUCE: (2), (10) imply:
% 186.36/30.77  | |   (13)  op(e1, e1) = e1
% 186.36/30.77  | | 
% 186.36/30.77  | | REF_CLOSE: (1), (5), (12), (13) are inconsistent by sub-proof #1541.
% 186.36/30.77  | | 
% 186.36/30.77  | Case 2:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (14)  all_54_10 = e0
% 186.36/30.77  | | 
% 186.36/30.77  | | REF_CLOSE: (3), (4), (14) are inconsistent by sub-proof #1618.
% 186.36/30.77  | | 
% 186.36/30.77  | End of split
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1448 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)   ~ (e3 = e0)
% 186.36/30.77    (2)  op(e2, e1) = all_52_9
% 186.36/30.77    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 186.36/30.77    (5)  op(e3, e1) = e0
% 186.36/30.77    (6)  op(e3, e1) = all_52_8
% 186.36/30.77    (7)   ~ (all_52_9 = e3)
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | BETA: splitting (4) gives:
% 186.36/30.77  | 
% 186.36/30.77  | Case 1:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (8)  all_56_4 = e3 & op(e3, e1) = e3
% 186.36/30.77  | | 
% 186.36/30.77  | | ALPHA: (8) implies:
% 186.36/30.77  | |   (9)  op(e3, e1) = e3
% 186.36/30.77  | | 
% 186.36/30.77  | | REF_CLOSE: (1), (3), (5), (6), (9) are inconsistent by sub-proof #1577.
% 186.36/30.77  | | 
% 186.36/30.77  | Case 2:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (10)  all_56_5 = e3 & op(e2, e1) = e3
% 186.36/30.77  | | 
% 186.36/30.77  | | ALPHA: (10) implies:
% 186.36/30.77  | |   (11)  op(e2, e1) = e3
% 186.36/30.77  | | 
% 186.36/30.77  | | REF_CLOSE: (2), (3), (7), (11) are inconsistent by sub-proof #1449.
% 186.36/30.77  | | 
% 186.36/30.77  | End of split
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1449 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (2)  op(e2, e1) = all_52_9
% 186.36/30.77    (3)  op(e2, e1) = e3
% 186.36/30.77    (4)   ~ (all_52_9 = e3)
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | GROUND_INST: instantiating (1) with all_52_9, e3, e1, e2, simplifying with
% 186.36/30.77  |              (2), (3) gives:
% 186.36/30.77  |   (5)  all_52_9 = e3
% 186.36/30.77  | 
% 186.36/30.77  | REDUCE: (4), (5) imply:
% 186.36/30.77  |   (6)  $false
% 186.36/30.77  | 
% 186.36/30.77  | CLOSE: (6) is inconsistent.
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1450 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)  all_56_6 = e2
% 186.36/30.77    (2)   ~ (e1 = e0)
% 186.36/30.77    (3)   ~ (e3 = e0)
% 186.36/30.77    (4)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) |
% 186.36/30.77         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.36/30.77    (5)   ~ (e2 = e0)
% 186.36/30.77    (6)   ~ (e3 = e1)
% 186.36/30.77    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (8)  all_56_11 = e2
% 186.36/30.77    (9)   ~ (e3 = e2)
% 186.36/30.77    (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 186.36/30.77          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.36/30.77    (11)  op(e1, e1) = e1
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | BETA: splitting (4) gives:
% 186.36/30.77  | 
% 186.36/30.77  | Case 1:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (12)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) =
% 186.36/30.77  | |           e0)
% 186.36/30.77  | | 
% 186.36/30.77  | | BETA: splitting (12) gives:
% 186.36/30.77  | | 
% 186.36/30.77  | | Case 1:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (13)  all_56_6 = e0 & op(e1, e3) = e0
% 186.36/30.77  | | | 
% 186.36/30.77  | | | REF_CLOSE: (1), (5), (13) are inconsistent by sub-proof #1455.
% 186.36/30.77  | | | 
% 186.36/30.77  | | Case 2:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (14)  all_56_7 = e0 & op(e1, e2) = e0
% 186.36/30.77  | | | 
% 186.36/30.77  | | | ALPHA: (14) implies:
% 186.36/30.77  | | |   (15)  all_56_7 = e0
% 186.36/30.77  | | | 
% 186.36/30.77  | | | REF_CLOSE: (1), (3), (6), (7), (8), (9), (10), (11), (15) are inconsistent
% 186.36/30.77  | | |            by sub-proof #1452.
% 186.36/30.77  | | | 
% 186.36/30.77  | | End of split
% 186.36/30.77  | | 
% 186.36/30.77  | Case 2:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (16)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 186.36/30.77  | |           e0)
% 186.36/30.77  | | 
% 186.36/30.77  | | BETA: splitting (16) gives:
% 186.36/30.77  | | 
% 186.36/30.77  | | Case 1:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (17)  all_56_8 = e0 & op(e1, e1) = e0
% 186.36/30.77  | | | 
% 186.36/30.77  | | | ALPHA: (17) implies:
% 186.36/30.77  | | |   (18)  op(e1, e1) = e0
% 186.36/30.77  | | | 
% 186.36/30.77  | | | REF_CLOSE: (2), (7), (11), (18) are inconsistent by sub-proof #1619.
% 186.36/30.77  | | | 
% 186.36/30.77  | | Case 2:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (19)  all_56_11 = e0 & op(e1, e0) = e0
% 186.36/30.77  | | | 
% 186.36/30.77  | | | REF_CLOSE: (5), (8), (19) are inconsistent by sub-proof #1451.
% 186.36/30.77  | | | 
% 186.36/30.77  | | End of split
% 186.36/30.77  | | 
% 186.36/30.77  | End of split
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1451 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)  all_56_11 = e0 & op(e1, e0) = e0
% 186.36/30.77    (2)  all_56_11 = e2
% 186.36/30.77    (3)   ~ (e2 = e0)
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | ALPHA: (1) implies:
% 186.36/30.77  |   (4)  all_56_11 = e0
% 186.36/30.77  | 
% 186.36/30.77  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.77  |   (5)  e2 = e0
% 186.36/30.77  | 
% 186.36/30.77  | REDUCE: (3), (5) imply:
% 186.36/30.77  |   (6)  $false
% 186.36/30.77  | 
% 186.36/30.77  | CLOSE: (6) is inconsistent.
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1452 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)  all_56_6 = e2
% 186.36/30.77    (2)   ~ (e3 = e0)
% 186.36/30.77    (3)  all_56_7 = e0
% 186.36/30.77    (4)   ~ (e3 = e1)
% 186.36/30.77    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (6)  all_56_11 = e2
% 186.36/30.77    (7)   ~ (e3 = e2)
% 186.36/30.77    (8)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 186.36/30.77         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.36/30.77    (9)  op(e1, e1) = e1
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | BETA: splitting (8) gives:
% 186.36/30.77  | 
% 186.36/30.77  | Case 1:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (10)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) =
% 186.36/30.77  | |           e3)
% 186.36/30.77  | | 
% 186.36/30.77  | | BETA: splitting (10) gives:
% 186.36/30.77  | | 
% 186.36/30.77  | | Case 1:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (11)  all_56_6 = e3 & op(e1, e3) = e3
% 186.36/30.77  | | | 
% 186.36/30.77  | | | ALPHA: (11) implies:
% 186.36/30.77  | | |   (12)  all_56_6 = e3
% 186.36/30.77  | | | 
% 186.36/30.77  | | | REF_CLOSE: (1), (7), (12) are inconsistent by sub-proof #1454.
% 186.36/30.77  | | | 
% 186.36/30.77  | | Case 2:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (13)  all_56_7 = e3 & op(e1, e2) = e3
% 186.36/30.77  | | | 
% 186.36/30.77  | | | ALPHA: (13) implies:
% 186.36/30.77  | | |   (14)  all_56_7 = e3
% 186.36/30.77  | | | 
% 186.36/30.77  | | | REF_CLOSE: (2), (3), (14) are inconsistent by sub-proof #1464.
% 186.36/30.77  | | | 
% 186.36/30.77  | | End of split
% 186.36/30.77  | | 
% 186.36/30.77  | Case 2:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (15)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 186.36/30.77  | |           e3)
% 186.36/30.77  | | 
% 186.36/30.77  | | REF_CLOSE: (4), (5), (6), (7), (9), (15) are inconsistent by sub-proof
% 186.36/30.77  | |            #1453.
% 186.36/30.77  | | 
% 186.36/30.77  | End of split
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1453 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)   ~ (e3 = e1)
% 186.36/30.77    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (3)  all_56_11 = e2
% 186.36/30.77    (4)   ~ (e3 = e2)
% 186.36/30.77    (5)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.36/30.77    (6)  op(e1, e1) = e1
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | BETA: splitting (5) gives:
% 186.36/30.77  | 
% 186.36/30.77  | Case 1:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 186.36/30.77  | | 
% 186.36/30.77  | | ALPHA: (7) implies:
% 186.36/30.77  | |   (8)  op(e1, e1) = e3
% 186.36/30.77  | | 
% 186.36/30.77  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1541.
% 186.36/30.77  | | 
% 186.36/30.77  | Case 2:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (9)  all_56_11 = e3 & op(e1, e0) = e3
% 186.36/30.77  | | 
% 186.36/30.77  | | ALPHA: (9) implies:
% 186.36/30.77  | |   (10)  all_56_11 = e3
% 186.36/30.77  | | 
% 186.36/30.77  | | REF_CLOSE: (3), (4), (10) are inconsistent by sub-proof #1482.
% 186.36/30.77  | | 
% 186.36/30.77  | End of split
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1454 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)  all_56_6 = e3
% 186.36/30.77    (2)  all_56_6 = e2
% 186.36/30.77    (3)   ~ (e3 = e2)
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.77  |   (4)  e3 = e2
% 186.36/30.77  | 
% 186.36/30.77  | SIMP: (4) implies:
% 186.36/30.77  |   (5)  e3 = e2
% 186.36/30.77  | 
% 186.36/30.77  | REDUCE: (3), (5) imply:
% 186.36/30.77  |   (6)  $false
% 186.36/30.77  | 
% 186.36/30.77  | CLOSE: (6) is inconsistent.
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1455 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)  all_56_6 = e0 & op(e1, e3) = e0
% 186.36/30.77    (2)  all_56_6 = e2
% 186.36/30.77    (3)   ~ (e2 = e0)
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | ALPHA: (1) implies:
% 186.36/30.77  |   (4)  all_56_6 = e0
% 186.36/30.77  | 
% 186.36/30.77  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.77  |   (5)  e2 = e0
% 186.36/30.77  | 
% 186.36/30.77  | REDUCE: (3), (5) imply:
% 186.36/30.77  |   (6)  $false
% 186.36/30.77  | 
% 186.36/30.77  | CLOSE: (6) is inconsistent.
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1456 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (2)  op(e2, e1) = e3
% 186.36/30.77    (3)  op(e2, e1) = e1
% 186.36/30.77    (4)   ~ (e3 = e1)
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | GROUND_INST: instantiating (1) with e1, e3, e1, e2, simplifying with (2), (3)
% 186.36/30.77  |              gives:
% 186.36/30.77  |   (5)  e3 = e1
% 186.36/30.77  | 
% 186.36/30.77  | REDUCE: (4), (5) imply:
% 186.36/30.77  |   (6)  $false
% 186.36/30.77  | 
% 186.36/30.77  | CLOSE: (6) is inconsistent.
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1457 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)  op(e0, e0) = all_6_2
% 186.36/30.77    (2)  op(e0, e3) = e3
% 186.36/30.77    (3)   ~ (all_6_2 = e1)
% 186.36/30.77    (4)  all_56_13 = e3
% 186.36/30.77    (5)   ~ (e3 = e1)
% 186.36/30.77    (6)  all_56_14 = e2
% 186.36/30.77    (7)  op(e0, e3) = all_52_3
% 186.36/30.77    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (9)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 186.36/30.77         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.36/30.77    (10)   ~ (e2 = e1)
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | BETA: splitting (9) gives:
% 186.36/30.77  | 
% 186.36/30.77  | Case 1:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (11)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 186.36/30.77  | |           e1)
% 186.36/30.77  | | 
% 186.36/30.77  | | BETA: splitting (11) gives:
% 186.36/30.77  | | 
% 186.36/30.77  | | Case 1:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (12)  all_56_12 = e1 & op(e0, e3) = e1
% 186.36/30.77  | | | 
% 186.36/30.77  | | | ALPHA: (12) implies:
% 186.36/30.77  | | |   (13)  op(e0, e3) = e1
% 186.36/30.77  | | | 
% 186.36/30.77  | | | REF_CLOSE: (2), (5), (7), (8), (13) are inconsistent by sub-proof #1529.
% 186.36/30.77  | | | 
% 186.36/30.77  | | Case 2:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (14)  all_56_13 = e1 & op(e0, e2) = e1
% 186.36/30.77  | | | 
% 186.36/30.77  | | | REF_CLOSE: (4), (5), (14) are inconsistent by sub-proof #1460.
% 186.36/30.77  | | | 
% 186.36/30.77  | | End of split
% 186.36/30.77  | | 
% 186.36/30.77  | Case 2:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (15)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.36/30.77  | |           e1)
% 186.36/30.77  | | 
% 186.36/30.77  | | REF_CLOSE: (1), (3), (6), (8), (10), (15) are inconsistent by sub-proof
% 186.36/30.77  | |            #1458.
% 186.36/30.77  | | 
% 186.36/30.77  | End of split
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1458 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)  op(e0, e0) = all_6_2
% 186.36/30.77    (2)   ~ (all_6_2 = e1)
% 186.36/30.77    (3)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.36/30.77    (4)  all_56_14 = e2
% 186.36/30.77    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (6)   ~ (e2 = e1)
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | BETA: splitting (3) gives:
% 186.36/30.77  | 
% 186.36/30.77  | Case 1:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (7)  all_56_14 = e1 & op(e0, e1) = e1
% 186.36/30.77  | | 
% 186.36/30.77  | | REF_CLOSE: (4), (6), (7) are inconsistent by sub-proof #1459.
% 186.36/30.77  | | 
% 186.36/30.77  | Case 2:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (8)  all_56_15 = e1 & op(e0, e0) = e1
% 186.36/30.77  | | 
% 186.36/30.77  | | ALPHA: (8) implies:
% 186.36/30.77  | |   (9)  op(e0, e0) = e1
% 186.36/30.77  | | 
% 186.36/30.77  | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #1516.
% 186.36/30.77  | | 
% 186.36/30.77  | End of split
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1459 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)  all_56_14 = e1 & op(e0, e1) = e1
% 186.36/30.77    (2)  all_56_14 = e2
% 186.36/30.77    (3)   ~ (e2 = e1)
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | ALPHA: (1) implies:
% 186.36/30.77  |   (4)  all_56_14 = e1
% 186.36/30.77  | 
% 186.36/30.77  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.77  |   (5)  e2 = e1
% 186.36/30.77  | 
% 186.36/30.77  | REDUCE: (3), (5) imply:
% 186.36/30.77  |   (6)  $false
% 186.36/30.77  | 
% 186.36/30.77  | CLOSE: (6) is inconsistent.
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1460 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)  all_56_13 = e1 & op(e0, e2) = e1
% 186.36/30.77    (2)  all_56_13 = e3
% 186.36/30.77    (3)   ~ (e3 = e1)
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | ALPHA: (1) implies:
% 186.36/30.77  |   (4)  all_56_13 = e1
% 186.36/30.77  | 
% 186.36/30.77  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.77  |   (5)  e3 = e1
% 186.36/30.77  | 
% 186.36/30.77  | REDUCE: (3), (5) imply:
% 186.36/30.77  |   (6)  $false
% 186.36/30.77  | 
% 186.36/30.77  | CLOSE: (6) is inconsistent.
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1461 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)   ~ (e3 = e0)
% 186.36/30.77    (2)   ~ (e2 = e0)
% 186.36/30.77    (3)   ~ (all_52_7 = e0)
% 186.36/30.77    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (5)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) |
% 186.36/30.77         (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 186.36/30.77    (6)  op(e3, e2) = all_52_4
% 186.36/30.77    (7)   ~ (all_52_4 = e0)
% 186.36/30.77    (8)  op(e0, e2) = all_52_7
% 186.36/30.77    (9)  all_56_7 = e3
% 186.36/30.77    (10)  op(e2, e2) = e2
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | BETA: splitting (5) gives:
% 186.36/30.77  | 
% 186.36/30.77  | Case 1:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (11)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 186.36/30.77  | |           e0)
% 186.36/30.77  | | 
% 186.36/30.77  | | REF_CLOSE: (2), (4), (6), (7), (10), (11) are inconsistent by sub-proof
% 186.36/30.77  | |            #1465.
% 186.36/30.77  | | 
% 186.36/30.77  | Case 2:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (12)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 186.36/30.77  | |           e0)
% 186.36/30.77  | | 
% 186.36/30.77  | | REF_CLOSE: (1), (3), (4), (8), (9), (12) are inconsistent by sub-proof
% 186.36/30.77  | |            #1462.
% 186.36/30.77  | | 
% 186.36/30.77  | End of split
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1462 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)   ~ (e3 = e0)
% 186.36/30.77    (2)  (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)
% 186.36/30.77    (3)   ~ (all_52_7 = e0)
% 186.36/30.77    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (5)  op(e0, e2) = all_52_7
% 186.36/30.77    (6)  all_56_7 = e3
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | BETA: splitting (2) gives:
% 186.36/30.77  | 
% 186.36/30.77  | Case 1:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (7)  all_56_7 = e0 & op(e1, e2) = e0
% 186.36/30.77  | | 
% 186.36/30.77  | | ALPHA: (7) implies:
% 186.36/30.77  | |   (8)  all_56_7 = e0
% 186.36/30.77  | | 
% 186.36/30.77  | | REF_CLOSE: (1), (6), (8) are inconsistent by sub-proof #1464.
% 186.36/30.77  | | 
% 186.36/30.77  | Case 2:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (9)  all_56_13 = e0 & op(e0, e2) = e0
% 186.36/30.77  | | 
% 186.36/30.77  | | ALPHA: (9) implies:
% 186.36/30.77  | |   (10)  op(e0, e2) = e0
% 186.36/30.77  | | 
% 186.36/30.77  | | REF_CLOSE: (3), (4), (5), (10) are inconsistent by sub-proof #1463.
% 186.36/30.77  | | 
% 186.36/30.77  | End of split
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1463 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (2)  op(e0, e2) = all_52_7
% 186.36/30.77    (3)  op(e0, e2) = e0
% 186.36/30.77    (4)   ~ (all_52_7 = e0)
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | GROUND_INST: instantiating (1) with all_52_7, e0, e2, e0, simplifying with
% 186.36/30.77  |              (2), (3) gives:
% 186.36/30.77  |   (5)  all_52_7 = e0
% 186.36/30.77  | 
% 186.36/30.77  | REDUCE: (4), (5) imply:
% 186.36/30.77  |   (6)  $false
% 186.36/30.77  | 
% 186.36/30.77  | CLOSE: (6) is inconsistent.
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1464 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)  all_56_7 = e3
% 186.36/30.77    (2)  all_56_7 = e0
% 186.36/30.77    (3)   ~ (e3 = e0)
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.77  |   (4)  e3 = e0
% 186.36/30.77  | 
% 186.36/30.77  | SIMP: (4) implies:
% 186.36/30.77  |   (5)  e3 = e0
% 186.36/30.77  | 
% 186.36/30.77  | REDUCE: (3), (5) imply:
% 186.36/30.77  |   (6)  $false
% 186.36/30.77  | 
% 186.36/30.77  | CLOSE: (6) is inconsistent.
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1465 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)   ~ (e2 = e0)
% 186.36/30.77    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (3)  (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 186.36/30.77    (4)  op(e3, e2) = all_52_4
% 186.36/30.77    (5)   ~ (all_52_4 = e0)
% 186.36/30.77    (6)  op(e2, e2) = e2
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | BETA: splitting (3) gives:
% 186.36/30.77  | 
% 186.36/30.77  | Case 1:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (7)  all_56_1 = e0 & op(e3, e2) = e0
% 186.36/30.77  | | 
% 186.36/30.77  | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #1466.
% 186.36/30.77  | | 
% 186.36/30.77  | Case 2:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (8)  all_56_3 = e0 & op(e2, e2) = e0
% 186.36/30.77  | | 
% 186.36/30.77  | | ALPHA: (8) implies:
% 186.36/30.77  | |   (9)  op(e2, e2) = e0
% 186.36/30.77  | | 
% 186.36/30.77  | | REF_CLOSE: (1), (2), (6), (9) are inconsistent by sub-proof #1586.
% 186.36/30.77  | | 
% 186.36/30.77  | End of split
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1466 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)  all_56_1 = e0 & op(e3, e2) = e0
% 186.36/30.77    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (3)  op(e3, e2) = all_52_4
% 186.36/30.77    (4)   ~ (all_52_4 = e0)
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | ALPHA: (1) implies:
% 186.36/30.77  |   (5)  op(e3, e2) = e0
% 186.36/30.77  | 
% 186.36/30.77  | GROUND_INST: instantiating (2) with all_52_4, e0, e2, e3, simplifying with
% 186.36/30.77  |              (3), (5) gives:
% 186.36/30.77  |   (6)  all_52_4 = e0
% 186.36/30.77  | 
% 186.36/30.77  | REDUCE: (4), (6) imply:
% 186.36/30.77  |   (7)  $false
% 186.36/30.77  | 
% 186.36/30.77  | CLOSE: (7) is inconsistent.
% 186.36/30.77  | 
% 186.36/30.77  End of proof
% 186.36/30.77  
% 186.36/30.77  Sub-proof #1467 shows that the following formulas are inconsistent:
% 186.36/30.77  ----------------------------------------------------------------
% 186.36/30.77    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 186.36/30.77         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.36/30.77    (2)   ~ (e1 = e0)
% 186.36/30.77    (3)   ~ (all_52_9 = e0)
% 186.36/30.77    (4)   ~ (e3 = e0)
% 186.36/30.77    (5)  op(e2, e1) = all_52_9
% 186.36/30.77    (6)   ~ (e2 = e0)
% 186.36/30.77    (7)   ~ (e3 = e1)
% 186.36/30.77    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.77    (9)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0) |
% 186.36/30.77         (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)
% 186.36/30.77    (10)  all_56_4 = e1
% 186.36/30.77    (11)   ~ (e3 = e2)
% 186.36/30.77    (12)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 186.36/30.77          (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 186.36/30.77    (13)   ~ (e2 = e1)
% 186.36/30.77    (14)  op(e1, e1) = e1
% 186.36/30.77  
% 186.36/30.77  Begin of proof
% 186.36/30.77  | 
% 186.36/30.77  | BETA: splitting (9) gives:
% 186.36/30.77  | 
% 186.36/30.77  | Case 1:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (15)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) =
% 186.36/30.77  | |           e0)
% 186.36/30.77  | | 
% 186.36/30.77  | | BETA: splitting (15) gives:
% 186.36/30.77  | | 
% 186.36/30.77  | | Case 1:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (16)  all_56_4 = e0 & op(e3, e1) = e0
% 186.36/30.77  | | | 
% 186.36/30.77  | | | REF_CLOSE: (2), (10), (16) are inconsistent by sub-proof #1477.
% 186.36/30.77  | | | 
% 186.36/30.77  | | Case 2:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (17)  all_56_5 = e0 & op(e2, e1) = e0
% 186.36/30.77  | | | 
% 186.36/30.77  | | | REF_CLOSE: (3), (5), (8), (17) are inconsistent by sub-proof #1476.
% 186.36/30.77  | | | 
% 186.36/30.77  | | End of split
% 186.36/30.77  | | 
% 186.36/30.77  | Case 2:
% 186.36/30.77  | | 
% 186.36/30.77  | |   (18)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 186.36/30.77  | |           e0)
% 186.36/30.77  | | 
% 186.36/30.77  | | BETA: splitting (18) gives:
% 186.36/30.77  | | 
% 186.36/30.77  | | Case 1:
% 186.36/30.77  | | | 
% 186.36/30.77  | | |   (19)  all_56_8 = e0 & op(e1, e1) = e0
% 186.36/30.77  | | | 
% 186.36/30.77  | | | ALPHA: (19) implies:
% 186.36/30.77  | | |   (20)  op(e1, e1) = e0
% 186.36/30.77  | | | 
% 186.36/30.77  | | | REF_CLOSE: (2), (8), (14), (20) are inconsistent by sub-proof #1619.
% 186.36/30.77  | | | 
% 186.36/30.78  | | Case 2:
% 186.36/30.78  | | | 
% 186.36/30.78  | | |   (21)  all_56_14 = e0 & op(e0, e1) = e0
% 186.36/30.78  | | | 
% 186.36/30.78  | | | ALPHA: (21) implies:
% 186.36/30.78  | | |   (22)  all_56_14 = e0
% 186.36/30.78  | | | 
% 186.36/30.78  | | | REF_CLOSE: (1), (4), (6), (7), (8), (10), (11), (12), (13), (14), (22) are
% 186.36/30.78  | | |            inconsistent by sub-proof #1468.
% 186.36/30.78  | | | 
% 186.36/30.78  | | End of split
% 186.36/30.78  | | 
% 186.36/30.78  | End of split
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1468 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3) |
% 186.36/30.78         (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.36/30.78    (2)   ~ (e3 = e0)
% 186.36/30.78    (3)   ~ (e2 = e0)
% 186.36/30.78    (4)   ~ (e3 = e1)
% 186.36/30.78    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.78    (6)  all_56_4 = e1
% 186.36/30.78    (7)   ~ (e3 = e2)
% 186.36/30.78    (8)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 186.36/30.78         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 186.36/30.78    (9)   ~ (e2 = e1)
% 186.36/30.78    (10)  all_56_14 = e0
% 186.36/30.78    (11)  op(e1, e1) = e1
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | BETA: splitting (1) gives:
% 186.36/30.78  | 
% 186.36/30.78  | Case 1:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (12)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) =
% 186.36/30.78  | |           e3)
% 186.36/30.78  | | 
% 186.36/30.78  | | BETA: splitting (12) gives:
% 186.36/30.78  | | 
% 186.36/30.78  | | Case 1:
% 186.36/30.78  | | | 
% 186.36/30.78  | | |   (13)  all_56_4 = e3 & op(e3, e1) = e3
% 186.36/30.78  | | | 
% 186.36/30.78  | | | ALPHA: (13) implies:
% 186.36/30.78  | | |   (14)  all_56_4 = e3
% 186.36/30.78  | | | 
% 186.36/30.78  | | | REF_CLOSE: (4), (6), (14) are inconsistent by sub-proof #1567.
% 186.36/30.78  | | | 
% 186.36/30.78  | | Case 2:
% 186.36/30.78  | | | 
% 186.36/30.78  | | |   (15)  all_56_5 = e3 & op(e2, e1) = e3
% 186.36/30.78  | | | 
% 186.36/30.78  | | | ALPHA: (15) implies:
% 186.36/30.78  | | |   (16)  all_56_5 = e3
% 186.36/30.78  | | | 
% 186.36/30.78  | | | REF_CLOSE: (3), (5), (6), (7), (8), (9), (10), (11), (16) are inconsistent
% 186.36/30.78  | | |            by sub-proof #1471.
% 186.36/30.78  | | | 
% 186.36/30.78  | | End of split
% 186.36/30.78  | | 
% 186.36/30.78  | Case 2:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (17)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 186.36/30.78  | |           e3)
% 186.36/30.78  | | 
% 186.36/30.78  | | REF_CLOSE: (2), (4), (5), (10), (11), (17) are inconsistent by sub-proof
% 186.36/30.78  | |            #1469.
% 186.36/30.78  | | 
% 186.36/30.78  | End of split
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1469 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) = e3)
% 186.36/30.78    (2)   ~ (e3 = e0)
% 186.36/30.78    (3)   ~ (e3 = e1)
% 186.36/30.78    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.78    (5)  all_56_14 = e0
% 186.36/30.78    (6)  op(e1, e1) = e1
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | BETA: splitting (1) gives:
% 186.36/30.78  | 
% 186.36/30.78  | Case 1:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 186.36/30.78  | | 
% 186.36/30.78  | | ALPHA: (7) implies:
% 186.36/30.78  | |   (8)  op(e1, e1) = e3
% 186.36/30.78  | | 
% 186.36/30.78  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #1541.
% 186.36/30.78  | | 
% 186.36/30.78  | Case 2:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (9)  all_56_14 = e3 & op(e0, e1) = e3
% 186.36/30.78  | | 
% 186.36/30.78  | | ALPHA: (9) implies:
% 186.36/30.78  | |   (10)  all_56_14 = e3
% 186.36/30.78  | | 
% 186.36/30.78  | | REF_CLOSE: (2), (5), (10) are inconsistent by sub-proof #1470.
% 186.36/30.78  | | 
% 186.36/30.78  | End of split
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1470 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  all_56_14 = e3
% 186.36/30.78    (2)  all_56_14 = e0
% 186.36/30.78    (3)   ~ (e3 = e0)
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.78  |   (4)  e3 = e0
% 186.36/30.78  | 
% 186.36/30.78  | SIMP: (4) implies:
% 186.36/30.78  |   (5)  e3 = e0
% 186.36/30.78  | 
% 186.36/30.78  | REDUCE: (3), (5) imply:
% 186.36/30.78  |   (6)  $false
% 186.36/30.78  | 
% 186.36/30.78  | CLOSE: (6) is inconsistent.
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1471 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  all_56_5 = e3
% 186.36/30.78    (2)   ~ (e2 = e0)
% 186.36/30.78    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.78    (4)  all_56_4 = e1
% 186.36/30.78    (5)   ~ (e3 = e2)
% 186.36/30.78    (6)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) |
% 186.36/30.78         (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)
% 186.36/30.78    (7)   ~ (e2 = e1)
% 186.36/30.78    (8)  all_56_14 = e0
% 186.36/30.78    (9)  op(e1, e1) = e1
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | BETA: splitting (6) gives:
% 186.36/30.78  | 
% 186.36/30.78  | Case 1:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (10)  (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 186.36/30.78  | |           e2)
% 186.36/30.78  | | 
% 186.36/30.78  | | BETA: splitting (10) gives:
% 186.36/30.78  | | 
% 186.36/30.78  | | Case 1:
% 186.36/30.78  | | | 
% 186.36/30.78  | | |   (11)  all_56_4 = e2 & op(e3, e1) = e2
% 186.36/30.78  | | | 
% 186.36/30.78  | | | REF_CLOSE: (4), (7), (11) are inconsistent by sub-proof #1475.
% 186.36/30.78  | | | 
% 186.36/30.78  | | Case 2:
% 186.36/30.78  | | | 
% 186.36/30.78  | | |   (12)  all_56_5 = e2 & op(e2, e1) = e2
% 186.36/30.78  | | | 
% 186.36/30.78  | | | REF_CLOSE: (1), (5), (12) are inconsistent by sub-proof #1474.
% 186.36/30.78  | | | 
% 186.36/30.78  | | End of split
% 186.36/30.78  | | 
% 186.36/30.78  | Case 2:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (13)  (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 186.36/30.78  | |           e2)
% 186.36/30.78  | | 
% 186.36/30.78  | | BETA: splitting (13) gives:
% 186.36/30.78  | | 
% 186.36/30.78  | | Case 1:
% 186.36/30.78  | | | 
% 186.36/30.78  | | |   (14)  all_56_8 = e2 & op(e1, e1) = e2
% 186.36/30.78  | | | 
% 186.36/30.78  | | | ALPHA: (14) implies:
% 186.36/30.78  | | |   (15)  op(e1, e1) = e2
% 186.36/30.78  | | | 
% 186.36/30.78  | | | REF_CLOSE: (3), (7), (9), (15) are inconsistent by sub-proof #1473.
% 186.36/30.78  | | | 
% 186.36/30.78  | | Case 2:
% 186.36/30.78  | | | 
% 186.36/30.78  | | |   (16)  all_56_14 = e2 & op(e0, e1) = e2
% 186.36/30.78  | | | 
% 186.36/30.78  | | | REF_CLOSE: (2), (8), (16) are inconsistent by sub-proof #1472.
% 186.36/30.78  | | | 
% 186.36/30.78  | | End of split
% 186.36/30.78  | | 
% 186.36/30.78  | End of split
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1472 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  all_56_14 = e2 & op(e0, e1) = e2
% 186.36/30.78    (2)  all_56_14 = e0
% 186.36/30.78    (3)   ~ (e2 = e0)
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | ALPHA: (1) implies:
% 186.36/30.78  |   (4)  all_56_14 = e2
% 186.36/30.78  | 
% 186.36/30.78  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.78  |   (5)  e2 = e0
% 186.36/30.78  | 
% 186.36/30.78  | REDUCE: (3), (5) imply:
% 186.36/30.78  |   (6)  $false
% 186.36/30.78  | 
% 186.36/30.78  | CLOSE: (6) is inconsistent.
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1473 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.78    (2)  op(e1, e1) = e2
% 186.36/30.78    (3)  op(e1, e1) = e1
% 186.36/30.78    (4)   ~ (e2 = e1)
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | GROUND_INST: instantiating (1) with e1, e2, e1, e1, simplifying with (2), (3)
% 186.36/30.78  |              gives:
% 186.36/30.78  |   (5)  e2 = e1
% 186.36/30.78  | 
% 186.36/30.78  | REDUCE: (4), (5) imply:
% 186.36/30.78  |   (6)  $false
% 186.36/30.78  | 
% 186.36/30.78  | CLOSE: (6) is inconsistent.
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1474 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  all_56_5 = e2 & op(e2, e1) = e2
% 186.36/30.78    (2)  all_56_5 = e3
% 186.36/30.78    (3)   ~ (e3 = e2)
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | ALPHA: (1) implies:
% 186.36/30.78  |   (4)  all_56_5 = e2
% 186.36/30.78  | 
% 186.36/30.78  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.78  |   (5)  e3 = e2
% 186.36/30.78  | 
% 186.36/30.78  | REDUCE: (3), (5) imply:
% 186.36/30.78  |   (6)  $false
% 186.36/30.78  | 
% 186.36/30.78  | CLOSE: (6) is inconsistent.
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1475 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  all_56_4 = e2 & op(e3, e1) = e2
% 186.36/30.78    (2)  all_56_4 = e1
% 186.36/30.78    (3)   ~ (e2 = e1)
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | ALPHA: (1) implies:
% 186.36/30.78  |   (4)  all_56_4 = e2
% 186.36/30.78  | 
% 186.36/30.78  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.78  |   (5)  e2 = e1
% 186.36/30.78  | 
% 186.36/30.78  | REDUCE: (3), (5) imply:
% 186.36/30.78  |   (6)  $false
% 186.36/30.78  | 
% 186.36/30.78  | CLOSE: (6) is inconsistent.
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1476 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  all_56_5 = e0 & op(e2, e1) = e0
% 186.36/30.78    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.78    (3)  op(e2, e1) = all_52_9
% 186.36/30.78    (4)   ~ (all_52_9 = e0)
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | ALPHA: (1) implies:
% 186.36/30.78  |   (5)  op(e2, e1) = e0
% 186.36/30.78  | 
% 186.36/30.78  | GROUND_INST: instantiating (2) with all_52_9, e0, e1, e2, simplifying with
% 186.36/30.78  |              (3), (5) gives:
% 186.36/30.78  |   (6)  all_52_9 = e0
% 186.36/30.78  | 
% 186.36/30.78  | REDUCE: (4), (6) imply:
% 186.36/30.78  |   (7)  $false
% 186.36/30.78  | 
% 186.36/30.78  | CLOSE: (7) is inconsistent.
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1477 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  all_56_4 = e0 & op(e3, e1) = e0
% 186.36/30.78    (2)  all_56_4 = e1
% 186.36/30.78    (3)   ~ (e1 = e0)
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | ALPHA: (1) implies:
% 186.36/30.78  |   (4)  all_56_4 = e0
% 186.36/30.78  | 
% 186.36/30.78  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.78  |   (5)  e1 = e0
% 186.36/30.78  | 
% 186.36/30.78  | REDUCE: (3), (5) imply:
% 186.36/30.78  |   (6)  $false
% 186.36/30.78  | 
% 186.36/30.78  | CLOSE: (6) is inconsistent.
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1478 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)   ~ (all_52_8 = e3)
% 186.36/30.78    (2)  op(e3, e1) = e3
% 186.36/30.78    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.78    (4)  all_54_2 = e1 | all_54_2 = e0
% 186.36/30.78    (5)  all_54_2 = all_52_8
% 186.36/30.78    (6)  op(e3, e1) = all_52_8
% 186.36/30.78    (7)   ~ (all_52_8 = e1)
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | BETA: splitting (4) gives:
% 186.36/30.78  | 
% 186.36/30.78  | Case 1:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (8)  all_54_2 = e1
% 186.36/30.78  | | 
% 186.36/30.78  | | REF_CLOSE: (5), (7), (8) are inconsistent by sub-proof #1479.
% 186.36/30.78  | | 
% 186.36/30.78  | Case 2:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (9)  all_54_2 = e0
% 186.36/30.78  | | 
% 186.36/30.78  | | COMBINE_EQS: (5), (9) imply:
% 186.36/30.78  | |   (10)  all_52_8 = e0
% 186.36/30.78  | | 
% 186.36/30.78  | | SIMP: (10) implies:
% 186.36/30.78  | |   (11)  all_52_8 = e0
% 186.36/30.78  | | 
% 186.36/30.78  | | REDUCE: (1), (11) imply:
% 186.36/30.78  | |   (12)   ~ (e3 = e0)
% 186.36/30.78  | | 
% 186.36/30.78  | | SIMP: (12) implies:
% 186.36/30.78  | |   (13)   ~ (e3 = e0)
% 186.36/30.78  | | 
% 186.36/30.78  | | REDUCE: (6), (11) imply:
% 186.36/30.78  | |   (14)  op(e3, e1) = e0
% 186.36/30.78  | | 
% 186.36/30.78  | | REF_CLOSE: (2), (3), (6), (13), (14) are inconsistent by sub-proof #1577.
% 186.36/30.78  | | 
% 186.36/30.78  | End of split
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1479 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  all_54_2 = all_52_8
% 186.36/30.78    (2)  all_54_2 = e1
% 186.36/30.78    (3)   ~ (all_52_8 = e1)
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.78  |   (4)  all_52_8 = e1
% 186.36/30.78  | 
% 186.36/30.78  | SIMP: (4) implies:
% 186.36/30.78  |   (5)  all_52_8 = e1
% 186.36/30.78  | 
% 186.36/30.78  | REDUCE: (3), (5) imply:
% 186.36/30.78  |   (6)  $false
% 186.36/30.78  | 
% 186.36/30.78  | CLOSE: (6) is inconsistent.
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1480 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  all_54_2 = all_52_8
% 186.36/30.78    (2)  all_54_2 = e2
% 186.36/30.78    (3)   ~ (all_52_8 = e2)
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.78  |   (4)  all_52_8 = e2
% 186.36/30.78  | 
% 186.36/30.78  | SIMP: (4) implies:
% 186.36/30.78  |   (5)  all_52_8 = e2
% 186.36/30.78  | 
% 186.36/30.78  | REDUCE: (3), (5) imply:
% 186.36/30.78  |   (6)  $false
% 186.36/30.78  | 
% 186.36/30.78  | CLOSE: (6) is inconsistent.
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1481 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  op(e0, e0) = e0
% 186.36/30.78    (2)   ~ (e3 = e0)
% 186.36/30.78    (3)  (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0, e0) = e3)
% 186.36/30.78    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.78    (5)  all_56_11 = e2
% 186.36/30.78    (6)   ~ (e3 = e2)
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | BETA: splitting (3) gives:
% 186.36/30.78  | 
% 186.36/30.78  | Case 1:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (7)  all_56_11 = e3 & op(e1, e0) = e3
% 186.36/30.78  | | 
% 186.36/30.78  | | ALPHA: (7) implies:
% 186.36/30.78  | |   (8)  all_56_11 = e3
% 186.36/30.78  | | 
% 186.36/30.78  | | REF_CLOSE: (5), (6), (8) are inconsistent by sub-proof #1482.
% 186.36/30.78  | | 
% 186.36/30.78  | Case 2:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (9)  all_56_15 = e3 & op(e0, e0) = e3
% 186.36/30.78  | | 
% 186.36/30.78  | | ALPHA: (9) implies:
% 186.36/30.78  | |   (10)  op(e0, e0) = e3
% 186.36/30.78  | | 
% 186.36/30.78  | | REF_CLOSE: (1), (2), (4), (10) are inconsistent by sub-proof #1540.
% 186.36/30.78  | | 
% 186.36/30.78  | End of split
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1482 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  all_56_11 = e3
% 186.36/30.78    (2)  all_56_11 = e2
% 186.36/30.78    (3)   ~ (e3 = e2)
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.78  |   (4)  e3 = e2
% 186.36/30.78  | 
% 186.36/30.78  | SIMP: (4) implies:
% 186.36/30.78  |   (5)  e3 = e2
% 186.36/30.78  | 
% 186.36/30.78  | REDUCE: (3), (5) imply:
% 186.36/30.78  |   (6)  $false
% 186.36/30.78  | 
% 186.36/30.78  | CLOSE: (6) is inconsistent.
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1483 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  op(e0, e0) = all_6_2
% 186.36/30.78    (2)  all_56_10 = e3
% 186.36/30.78    (3)   ~ (all_6_2 = e1)
% 186.36/30.78    (4)   ~ (e1 = e0)
% 186.36/30.78    (5)  op(e1, e0) = all_52_14
% 186.36/30.78    (6)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 186.36/30.78         (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.36/30.78    (7)   ~ (all_52_14 = e1)
% 186.36/30.78    (8)   ~ (e3 = e1)
% 186.36/30.78    (9)  all_56_9 = e0
% 186.36/30.78    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.78            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | BETA: splitting (6) gives:
% 186.36/30.78  | 
% 186.36/30.78  | Case 1:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (11)  (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 186.36/30.78  | |           e1)
% 186.36/30.78  | | 
% 186.36/30.78  | | BETA: splitting (11) gives:
% 186.36/30.78  | | 
% 186.36/30.78  | | Case 1:
% 186.36/30.78  | | | 
% 186.36/30.78  | | |   (12)  all_56_9 = e1 & op(e3, e0) = e1
% 186.36/30.78  | | | 
% 186.36/30.78  | | | ALPHA: (12) implies:
% 186.36/30.78  | | |   (13)  all_56_9 = e1
% 186.36/30.78  | | | 
% 186.36/30.78  | | | REF_CLOSE: (4), (9), (13) are inconsistent by sub-proof #1484.
% 186.36/30.78  | | | 
% 186.36/30.78  | | Case 2:
% 186.36/30.78  | | | 
% 186.36/30.78  | | |   (14)  all_56_10 = e1 & op(e2, e0) = e1
% 186.36/30.78  | | | 
% 186.36/30.78  | | | REF_CLOSE: (2), (8), (14) are inconsistent by sub-proof #1486.
% 186.36/30.78  | | | 
% 186.36/30.78  | | End of split
% 186.36/30.78  | | 
% 186.36/30.78  | Case 2:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (15)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.36/30.78  | |           e1)
% 186.36/30.78  | | 
% 186.36/30.78  | | REF_CLOSE: (1), (3), (5), (7), (10), (15) are inconsistent by sub-proof
% 186.36/30.78  | |            #1488.
% 186.36/30.78  | | 
% 186.36/30.78  | End of split
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1484 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  all_56_9 = e1
% 186.36/30.78    (2)  all_56_9 = e0
% 186.36/30.78    (3)   ~ (e1 = e0)
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.78  |   (4)  e1 = e0
% 186.36/30.78  | 
% 186.36/30.78  | SIMP: (4) implies:
% 186.36/30.78  |   (5)  e1 = e0
% 186.36/30.78  | 
% 186.36/30.78  | REDUCE: (3), (5) imply:
% 186.36/30.78  |   (6)  $false
% 186.36/30.78  | 
% 186.36/30.78  | CLOSE: (6) is inconsistent.
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1485 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  all_56_10 = e3
% 186.36/30.78    (2)  op(e2, e1) = all_52_9
% 186.36/30.78    (3)  (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)
% 186.36/30.78    (4)   ~ (e3 = e1)
% 186.36/30.78    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.78    (6)   ~ (all_52_9 = e1)
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | BETA: splitting (3) gives:
% 186.36/30.78  | 
% 186.36/30.78  | Case 1:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (7)  all_56_5 = e1 & op(e2, e1) = e1
% 186.36/30.78  | | 
% 186.36/30.78  | | ALPHA: (7) implies:
% 186.36/30.78  | |   (8)  op(e2, e1) = e1
% 186.36/30.78  | | 
% 186.36/30.78  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1610.
% 186.36/30.78  | | 
% 186.36/30.78  | Case 2:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (9)  all_56_10 = e1 & op(e2, e0) = e1
% 186.36/30.78  | | 
% 186.36/30.78  | | REF_CLOSE: (1), (4), (9) are inconsistent by sub-proof #1486.
% 186.36/30.78  | | 
% 186.36/30.78  | End of split
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1486 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  all_56_10 = e1 & op(e2, e0) = e1
% 186.36/30.78    (2)  all_56_10 = e3
% 186.36/30.78    (3)   ~ (e3 = e1)
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | ALPHA: (1) implies:
% 186.36/30.78  |   (4)  all_56_10 = e1
% 186.36/30.78  | 
% 186.36/30.78  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.78  |   (5)  e3 = e1
% 186.36/30.78  | 
% 186.36/30.78  | REDUCE: (3), (5) imply:
% 186.36/30.78  |   (6)  $false
% 186.36/30.78  | 
% 186.36/30.78  | CLOSE: (6) is inconsistent.
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1487 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.78    (2)  op(e2, e2) = e2
% 186.36/30.78    (3)  op(e2, e2) = e1
% 186.36/30.78    (4)   ~ (e2 = e1)
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | GROUND_INST: instantiating (1) with e1, e2, e2, e2, simplifying with (2), (3)
% 186.36/30.78  |              gives:
% 186.36/30.78  |   (5)  e2 = e1
% 186.36/30.78  | 
% 186.36/30.78  | REDUCE: (4), (5) imply:
% 186.36/30.78  |   (6)  $false
% 186.36/30.78  | 
% 186.36/30.78  | CLOSE: (6) is inconsistent.
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1488 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  op(e0, e0) = all_6_2
% 186.36/30.78    (2)   ~ (all_6_2 = e1)
% 186.36/30.78    (3)  op(e1, e0) = all_52_14
% 186.36/30.78    (4)   ~ (all_52_14 = e1)
% 186.36/30.78    (5)  (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.36/30.78    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | BETA: splitting (5) gives:
% 186.36/30.78  | 
% 186.36/30.78  | Case 1:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (7)  all_56_11 = e1 & op(e1, e0) = e1
% 186.36/30.78  | | 
% 186.36/30.78  | | ALPHA: (7) implies:
% 186.36/30.78  | |   (8)  op(e1, e0) = e1
% 186.36/30.78  | | 
% 186.36/30.78  | | REF_CLOSE: (3), (4), (6), (8) are inconsistent by sub-proof #1609.
% 186.36/30.78  | | 
% 186.36/30.78  | Case 2:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (9)  all_56_15 = e1 & op(e0, e0) = e1
% 186.36/30.78  | | 
% 186.36/30.78  | | ALPHA: (9) implies:
% 186.36/30.78  | |   (10)  op(e0, e0) = e1
% 186.36/30.78  | | 
% 186.36/30.78  | | REF_CLOSE: (1), (2), (6), (10) are inconsistent by sub-proof #1516.
% 186.36/30.78  | | 
% 186.36/30.78  | End of split
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1489 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  all_56_10 = e3
% 186.36/30.78    (2)  all_56_10 = e1
% 186.36/30.78    (3)   ~ (e3 = e1)
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.78  |   (4)  e3 = e1
% 186.36/30.78  | 
% 186.36/30.78  | SIMP: (4) implies:
% 186.36/30.78  |   (5)  e3 = e1
% 186.36/30.78  | 
% 186.36/30.78  | REDUCE: (3), (5) imply:
% 186.36/30.78  |   (6)  $false
% 186.36/30.78  | 
% 186.36/30.78  | CLOSE: (6) is inconsistent.
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1490 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  (all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 = e1 &  ~ (all_57_9 =
% 186.36/30.78             e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~ (all_57_30 = e3)
% 186.36/30.78           & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 & op(e1, all_57_24) =
% 186.36/30.78           all_57_11 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = e1 & op(e1,
% 186.36/30.78             e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 &
% 186.36/30.78           $i(all_57_9) & $i(all_57_10) & $i(all_57_11) & $i(all_57_23) &
% 186.36/30.78           $i(all_57_24) & $i(all_57_30)) | (all_57_9 = all_57_30 & all_57_20 = e1
% 186.36/30.78           & all_57_23 = e1 &  ~ (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~
% 186.36/30.78           (all_57_11 = e0) &  ~ (all_57_30 = e2) & op(e2, e1) = e1 & op(e1,
% 186.36/30.78             all_57_22) = all_57_8 & op(e1, all_57_24) = all_57_11 & op(e1,
% 186.36/30.78             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) = e1 &
% 186.36/30.78           op(e1, e1) = all_57_30 & op(e1, e0) = all_57_24 & $i(all_57_8) &
% 186.36/30.78           $i(all_57_10) & $i(all_57_11) & $i(all_57_22) & $i(all_57_24) &
% 186.36/30.78           $i(all_57_30)) | (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11
% 186.36/30.78               = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3)
% 186.36/30.78               &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 186.36/30.78               op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.78               op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2)
% 186.36/30.78               = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 186.36/30.78               $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.36/30.78               $i(all_57_23) & $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~
% 186.36/30.78               (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~ (all_57_15 = e0) &
% 186.36/30.78               op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) = all_57_13 &
% 186.36/30.78               op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15 &
% 186.36/30.78               op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 186.36/30.78               all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.36/30.78               $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.36/30.78               (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) =
% 186.36/30.78                   e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.36/30.78                 (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 186.36/30.78    (2)  op(e1, e0) = all_52_14
% 186.36/30.78    (3)  op(e2, e1) = all_52_9
% 186.36/30.78    (4)   ~ (all_52_14 = e1)
% 186.36/30.78    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.78    (6)  op(e3, e1) = all_52_8
% 186.36/30.78    (7)   ~ (all_52_9 = e1)
% 186.36/30.78    (8)  all_57_31 = e0
% 186.36/30.78    (9)   ~ (all_52_8 = e1)
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | BETA: splitting (1) gives:
% 186.36/30.78  | 
% 186.36/30.78  | Case 1:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (10)  all_57_8 = all_57_30 & all_57_17 = e1 & all_57_22 = e1 &  ~
% 186.36/30.78  | |         (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 186.36/30.78  | |         (all_57_30 = e3) & op(e3, e1) = e1 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.78  | |         op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 186.36/30.78  | |         op(e1, e3) = e1 & op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 &
% 186.36/30.78  | |         op(e1, e0) = all_57_24 & $i(all_57_9) & $i(all_57_10) &
% 186.36/30.78  | |         $i(all_57_11) & $i(all_57_23) & $i(all_57_24) & $i(all_57_30)
% 186.36/30.78  | | 
% 186.36/30.78  | | ALPHA: (10) implies:
% 186.36/30.78  | |   (11)  op(e3, e1) = e1
% 186.36/30.78  | | 
% 186.36/30.78  | | REF_CLOSE: (5), (6), (9), (11) are inconsistent by sub-proof #1611.
% 186.36/30.78  | | 
% 186.36/30.78  | Case 2:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (12)  (all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.36/30.78  | |           (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 186.36/30.78  | |           (all_57_30 = e2) & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8
% 186.36/30.78  | |           & op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 186.36/30.78  | |           op(e1, e3) = all_57_22 & op(e1, e2) = e1 & op(e1, e1) = all_57_30
% 186.36/30.78  | |           & op(e1, e0) = all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 186.36/30.78  | |           $i(all_57_11) & $i(all_57_22) & $i(all_57_24) & $i(all_57_30)) |
% 186.36/30.78  | |         (op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 186.36/30.78  | |               all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.36/30.78  | |               (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 186.36/30.78  | |               op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.78  | |               op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 186.36/30.78  | |               op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 186.36/30.78  | |               e1 & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 186.36/30.78  | |               $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~
% 186.36/30.78  | |               (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &
% 186.36/30.78  | |                ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0,
% 186.36/30.78  | |                 all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 186.36/30.78  | |               op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 &
% 186.36/30.78  | |               op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31 &
% 186.36/30.78  | |               $i(all_57_12) & $i(all_57_13) & $i(all_57_14) & $i(all_57_15)
% 186.36/30.78  | |               & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.36/30.78  | |                 e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 186.36/30.78  | |                 (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.36/30.78  | |                 (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))))
% 186.36/30.78  | | 
% 186.36/30.78  | | BETA: splitting (12) gives:
% 186.36/30.78  | | 
% 186.36/30.78  | | Case 1:
% 186.36/30.78  | | | 
% 186.36/30.78  | | |   (13)  all_57_9 = all_57_30 & all_57_20 = e1 & all_57_23 = e1 &  ~
% 186.36/30.78  | | |         (all_57_8 = e3) &  ~ (all_57_10 = e1) &  ~ (all_57_11 = e0) &  ~
% 186.36/30.78  | | |         (all_57_30 = e2) & op(e2, e1) = e1 & op(e1, all_57_22) = all_57_8
% 186.36/30.78  | | |         & op(e1, all_57_24) = all_57_11 & op(e1, all_57_30) = all_57_10 &
% 186.36/30.78  | | |         op(e1, e3) = all_57_22 & op(e1, e2) = e1 & op(e1, e1) = all_57_30
% 186.36/30.78  | | |         & op(e1, e0) = all_57_24 & $i(all_57_8) & $i(all_57_10) &
% 186.36/30.78  | | |         $i(all_57_11) & $i(all_57_22) & $i(all_57_24) & $i(all_57_30)
% 186.36/30.78  | | | 
% 186.36/30.78  | | | ALPHA: (13) implies:
% 186.36/30.78  | | |   (14)  op(e2, e1) = e1
% 186.36/30.78  | | | 
% 186.36/30.78  | | | REF_CLOSE: (3), (5), (7), (14) are inconsistent by sub-proof #1610.
% 186.36/30.78  | | | 
% 186.36/30.78  | | Case 2:
% 186.36/30.78  | | | 
% 186.36/30.78  | | |   (15)  op(e0, e1) = all_57_27 & $i(all_57_27) & ((all_57_11 = all_57_30 &
% 186.36/30.78  | | |             all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 = e3) &  ~
% 186.36/30.78  | | |             (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0) &
% 186.36/30.78  | | |             op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 &
% 186.36/30.78  | | |             op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 186.36/30.78  | | |             op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) =
% 186.36/30.78  | | |             e1 & $i(all_57_8) & $i(all_57_9) & $i(all_57_10) &
% 186.36/30.78  | | |             $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) | ( ~
% 186.36/30.78  | | |             (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &
% 186.36/30.78  | | |              ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0,
% 186.36/30.78  | | |               all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 186.36/30.78  | | |             op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 &
% 186.36/30.78  | | |             op(e0, e2) = all_57_26 & op(e0, e0) = all_57_31 &
% 186.36/30.78  | | |             $i(all_57_12) & $i(all_57_13) & $i(all_57_14) & $i(all_57_15)
% 186.36/30.78  | | |             & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) & (all_57_31 =
% 186.36/30.78  | | |               e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) |
% 186.36/30.78  | | |               (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) |
% 186.36/30.78  | | |               (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0))))
% 186.36/30.78  | | | 
% 186.36/30.78  | | | ALPHA: (15) implies:
% 186.36/30.78  | | |   (16)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 186.36/30.78  | | |           (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.36/30.78  | | |           (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1,
% 186.36/30.78  | | |             all_57_23) = all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1,
% 186.36/30.78  | | |             e3) = all_57_22 & op(e1, e2) = all_57_23 & op(e1, e1) =
% 186.36/30.78  | | |           all_57_30 & op(e1, e0) = e1 & $i(all_57_8) & $i(all_57_9) &
% 186.36/30.78  | | |           $i(all_57_10) & $i(all_57_22) & $i(all_57_23) & $i(all_57_30)) |
% 186.36/30.78  | | |         ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &
% 186.36/30.78  | | |            ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0,
% 186.36/30.78  | | |             all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 186.36/30.78  | | |           op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0,
% 186.36/30.78  | | |             e2) = all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) &
% 186.36/30.78  | | |           $i(all_57_13) & $i(all_57_14) & $i(all_57_15) & $i(all_57_25) &
% 186.36/30.78  | | |           $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0 | (all_57_18 =
% 186.36/30.78  | | |               e0 & all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.36/30.78  | | |               all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 &
% 186.36/30.78  | | |               all_57_27 = e0 & op(e1, e0) = e0)))
% 186.36/30.78  | | | 
% 186.36/30.78  | | | REF_CLOSE: (2), (4), (5), (8), (16) are inconsistent by sub-proof #1583.
% 186.36/30.78  | | | 
% 186.36/30.78  | | End of split
% 186.36/30.78  | | 
% 186.36/30.78  | End of split
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1491 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  op(e0, e0) = all_6_2
% 186.36/30.78    (2)  (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.36/30.78    (3)  all_56_10 = e3
% 186.36/30.78    (4)   ~ (e1 = e0)
% 186.36/30.78    (5)   ~ (e2 = e0)
% 186.36/30.78    (6)   ~ (all_6_2 = e2)
% 186.36/30.78    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.78    (8)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 186.36/30.78         (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.36/30.78    (9)   ~ (e3 = e2)
% 186.36/30.78    (10)  all_56_9 = e1
% 186.36/30.78    (11)   ~ (e2 = e1)
% 186.36/30.78    (12)  op(e1, e1) = e1
% 186.36/30.78  
% 186.36/30.78  Begin of proof
% 186.36/30.78  | 
% 186.36/30.78  | BETA: splitting (2) gives:
% 186.36/30.78  | 
% 186.36/30.78  | Case 1:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (13)  all_56_8 = e0 & op(e1, e1) = e0
% 186.36/30.78  | | 
% 186.36/30.78  | | ALPHA: (13) implies:
% 186.36/30.78  | |   (14)  op(e1, e1) = e0
% 186.36/30.78  | | 
% 186.36/30.78  | | REF_CLOSE: (4), (7), (12), (14) are inconsistent by sub-proof #1619.
% 186.36/30.78  | | 
% 186.36/30.78  | Case 2:
% 186.36/30.78  | | 
% 186.36/30.78  | |   (15)  all_56_11 = e0 & op(e1, e0) = e0
% 186.36/30.78  | | 
% 186.36/30.78  | | ALPHA: (15) implies:
% 186.36/30.78  | |   (16)  all_56_11 = e0
% 186.36/30.78  | | 
% 186.36/30.78  | | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (10), (11), (16) are
% 186.36/30.78  | |            inconsistent by sub-proof #1498.
% 186.36/30.78  | | 
% 186.36/30.78  | End of split
% 186.36/30.78  | 
% 186.36/30.78  End of proof
% 186.36/30.78  
% 186.36/30.78  Sub-proof #1492 shows that the following formulas are inconsistent:
% 186.36/30.78  ----------------------------------------------------------------
% 186.36/30.78    (1)  op(e0, e0) = all_6_2
% 186.36/30.78    (2)  all_56_10 = e3
% 186.36/30.78    (3)   ~ (all_4_2 = e0)
% 186.36/30.78    (4)   ~ (all_52_11 = e1)
% 186.36/30.78    (5)   ~ (all_6_2 = e1)
% 186.36/30.78    (6)  all_56_2 = e1
% 186.36/30.78    (7)   ~ (e1 = e0)
% 186.36/30.78    (8)   ~ (e3 = e0)
% 186.36/30.78    (9)  op(e0, e1) = all_52_11
% 186.36/30.78    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.36/30.78          (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.36/30.78    (11)   ~ (e2 = e0)
% 186.36/30.78    (12)  all_56_7 = e0
% 186.36/30.78    (13)   ~ (e3 = e1)
% 186.36/30.78    (14)  op(e3, e3) = e2
% 186.36/30.78    (15)   ~ (all_6_2 = e2)
% 186.36/30.78    (16)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 186.36/30.78          (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.36/30.78    (17)  op(e0, e3) = all_52_3
% 186.36/30.78    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.78            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.78    (19)  all_56_11 = e2
% 186.36/30.78    (20)  all_56_0 = e2
% 186.36/30.78    (21)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1)
% 186.36/30.78          | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.36/30.78            e1)
% 186.36/30.78    (22)  op(e2, e0) = all_52_13
% 186.36/30.78    (23)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 186.36/30.78          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.36/30.78    (24)   ~ (e3 = e2)
% 186.36/30.78    (25)  op(e1, e3) = e3
% 186.36/30.78    (26)  op(e3, e3) = all_4_2
% 186.36/30.78    (27)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)
% 186.36/30.78          | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0, e0) =
% 186.36/30.78            e3)
% 186.36/30.78    (28)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) |
% 186.36/30.78          (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.36/30.78    (29)  all_56_9 = e1
% 186.36/30.78    (30)   ~ (all_52_13 = e0)
% 186.36/30.78    (31)   ~ (e2 = e1)
% 186.36/30.78    (32)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.36/30.78          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.36/30.78            e2)
% 186.36/30.79    (33)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.36/30.79              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.36/30.79                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.36/30.79                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.36/30.79    (34)   ~ (all_4_2 = e1)
% 186.36/30.79    (35)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.36/30.79          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.36/30.79    (36)  op(e1, e1) = e1
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | BETA: splitting (35) gives:
% 186.36/30.79  | 
% 186.36/30.79  | Case 1:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (37)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 186.36/30.79  | |           e0)
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (3), (6), (7), (18), (26), (37) are inconsistent by sub-proof
% 186.36/30.79  | |            #1534.
% 186.36/30.79  | | 
% 186.36/30.79  | Case 2:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (38)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 186.36/30.79  | |           e0)
% 186.36/30.79  | | 
% 186.36/30.79  | | BETA: splitting (38) gives:
% 186.36/30.79  | | 
% 186.36/30.79  | | Case 1:
% 186.36/30.79  | | | 
% 186.36/30.79  | | |   (39)  all_56_6 = e0 & op(e1, e3) = e0
% 186.36/30.79  | | | 
% 186.36/30.79  | | | ALPHA: (39) implies:
% 186.36/30.79  | | |   (40)  op(e1, e3) = e0
% 186.36/30.79  | | | 
% 186.36/30.79  | | | REF_CLOSE: (8), (18), (25), (40) are inconsistent by sub-proof #1536.
% 186.36/30.79  | | | 
% 186.36/30.79  | | Case 2:
% 186.36/30.79  | | | 
% 186.36/30.79  | | |   (41)  all_56_12 = e0 & op(e0, e3) = e0
% 186.36/30.79  | | | 
% 186.36/30.79  | | | ALPHA: (41) implies:
% 186.36/30.79  | | |   (42)  all_56_12 = e0
% 186.36/30.79  | | |   (43)  op(e0, e3) = e0
% 186.36/30.79  | | | 
% 186.36/30.79  | | | BETA: splitting (28) gives:
% 186.36/30.79  | | | 
% 186.36/30.79  | | | Case 1:
% 186.36/30.79  | | | | 
% 186.36/30.79  | | | |   (44)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2)
% 186.36/30.79  | | | |           = e3)
% 186.36/30.79  | | | | 
% 186.36/30.79  | | | | BETA: splitting (44) gives:
% 186.36/30.79  | | | | 
% 186.36/30.79  | | | | Case 1:
% 186.36/30.79  | | | | | 
% 186.36/30.79  | | | | |   (45)  all_56_6 = e3 & op(e1, e3) = e3
% 186.36/30.79  | | | | | 
% 186.36/30.79  | | | | | ALPHA: (45) implies:
% 186.36/30.79  | | | | |   (46)  all_56_6 = e3
% 186.36/30.79  | | | | | 
% 186.36/30.79  | | | | | BETA: splitting (27) gives:
% 186.36/30.79  | | | | | 
% 186.36/30.79  | | | | | Case 1:
% 186.36/30.79  | | | | | | 
% 186.36/30.79  | | | | | |   (47)  (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 &
% 186.36/30.79  | | | | | |           op(e0, e2) = e3)
% 186.36/30.79  | | | | | | 
% 186.36/30.79  | | | | | | BETA: splitting (47) gives:
% 186.36/30.79  | | | | | | 
% 186.36/30.79  | | | | | | Case 1:
% 186.36/30.79  | | | | | | | 
% 186.36/30.79  | | | | | | |   (48)  all_56_12 = e3 & op(e0, e3) = e3
% 186.36/30.79  | | | | | | | 
% 186.36/30.79  | | | | | | | REF_CLOSE: (8), (42), (48) are inconsistent by sub-proof #1533.
% 186.36/30.79  | | | | | | | 
% 186.36/30.79  | | | | | | Case 2:
% 186.36/30.79  | | | | | | | 
% 186.36/30.79  | | | | | | |   (49)  all_56_13 = e3 & op(e0, e2) = e3
% 186.36/30.79  | | | | | | | 
% 186.36/30.79  | | | | | | | ALPHA: (49) implies:
% 186.36/30.79  | | | | | | |   (50)  all_56_13 = e3
% 186.36/30.79  | | | | | | | 
% 186.36/30.79  | | | | | | | BETA: splitting (21) gives:
% 186.36/30.79  | | | | | | | 
% 186.36/30.79  | | | | | | | Case 1:
% 186.36/30.79  | | | | | | | | 
% 186.36/30.79  | | | | | | | |   (51)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 &
% 186.36/30.79  | | | | | | | |           op(e0, e2) = e1)
% 186.36/30.79  | | | | | | | | 
% 186.36/30.79  | | | | | | | | BETA: splitting (51) gives:
% 186.36/30.79  | | | | | | | | 
% 186.36/30.79  | | | | | | | | Case 1:
% 186.36/30.79  | | | | | | | | | 
% 186.36/30.79  | | | | | | | | |   (52)  all_56_12 = e1 & op(e0, e3) = e1
% 186.36/30.79  | | | | | | | | | 
% 186.36/30.79  | | | | | | | | | ALPHA: (52) implies:
% 186.36/30.79  | | | | | | | | |   (53)  op(e0, e3) = e1
% 186.36/30.79  | | | | | | | | | 
% 186.36/30.79  | | | | | | | | | REF_CLOSE: (3), (6), (7), (8), (13), (16), (17), (18), (20),
% 186.36/30.79  | | | | | | | | |            (24), (26), (35), (53) are inconsistent by
% 186.36/30.79  | | | | | | | | |            sub-proof #1526.
% 186.36/30.79  | | | | | | | | | 
% 186.36/30.79  | | | | | | | | Case 2:
% 186.36/30.79  | | | | | | | | | 
% 186.36/30.79  | | | | | | | | |   (54)  all_56_13 = e1 & op(e0, e2) = e1
% 186.36/30.79  | | | | | | | | | 
% 186.36/30.79  | | | | | | | | | ALPHA: (54) implies:
% 186.36/30.79  | | | | | | | | |   (55)  all_56_13 = e1
% 186.36/30.79  | | | | | | | | | 
% 186.36/30.79  | | | | | | | | | COMBINE_EQS: (50), (55) imply:
% 186.36/30.79  | | | | | | | | |   (56)  e3 = e1
% 186.36/30.79  | | | | | | | | | 
% 186.36/30.79  | | | | | | | | | SIMP: (56) implies:
% 186.36/30.79  | | | | | | | | |   (57)  e3 = e1
% 186.36/30.79  | | | | | | | | | 
% 186.36/30.79  | | | | | | | | | REF_CLOSE: (3), (6), (7), (8), (10), (13), (14), (16), (17),
% 186.36/30.79  | | | | | | | | |            (18), (24), (26), (34), (35), (46), (57) are
% 186.36/30.79  | | | | | | | | |            inconsistent by sub-proof #1518.
% 186.36/30.79  | | | | | | | | | 
% 186.36/30.79  | | | | | | | | End of split
% 186.36/30.79  | | | | | | | | 
% 186.36/30.79  | | | | | | | Case 2:
% 186.36/30.79  | | | | | | | | 
% 186.36/30.79  | | | | | | | |   (58)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 186.36/30.79  | | | | | | | |           op(e0, e0) = e1)
% 186.36/30.79  | | | | | | | | 
% 186.36/30.79  | | | | | | | | REF_CLOSE: (1), (4), (5), (9), (18), (58) are inconsistent by
% 186.36/30.79  | | | | | | | |            sub-proof #1515.
% 186.36/30.79  | | | | | | | | 
% 186.36/30.79  | | | | | | | End of split
% 186.36/30.79  | | | | | | | 
% 186.36/30.79  | | | | | | End of split
% 186.36/30.79  | | | | | | 
% 186.36/30.79  | | | | | Case 2:
% 186.36/30.79  | | | | | | 
% 186.36/30.79  | | | | | |   (59)  (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 &
% 186.36/30.79  | | | | | |           op(e0, e0) = e3)
% 186.36/30.79  | | | | | | 
% 186.36/30.79  | | | | | | BETA: splitting (59) gives:
% 186.36/30.79  | | | | | | 
% 186.36/30.79  | | | | | | Case 1:
% 186.36/30.79  | | | | | | | 
% 186.36/30.79  | | | | | | |   (60)  all_56_14 = e3 & op(e0, e1) = e3
% 186.36/30.79  | | | | | | | 
% 186.36/30.79  | | | | | | | ALPHA: (60) implies:
% 186.36/30.79  | | | | | | |   (61)  all_56_14 = e3
% 186.36/30.79  | | | | | | | 
% 186.36/30.79  | | | | | | | REF_CLOSE: (1), (5), (7), (11), (13), (15), (18), (21), (24),
% 186.36/30.79  | | | | | | |            (31), (32), (42), (43), (61) are inconsistent by
% 186.36/30.79  | | | | | | |            sub-proof #1506.
% 186.36/30.79  | | | | | | | 
% 186.36/30.79  | | | | | | Case 2:
% 186.36/30.79  | | | | | | | 
% 186.36/30.79  | | | | | | |   (62)  all_56_15 = e3 & op(e0, e0) = e3
% 186.36/30.79  | | | | | | | 
% 186.36/30.79  | | | | | | | ALPHA: (62) implies:
% 186.36/30.79  | | | | | | |   (63)  op(e0, e0) = e3
% 186.36/30.79  | | | | | | | 
% 186.36/30.79  | | | | | | | REF_CLOSE: (1), (2), (7), (8), (11), (15), (18), (22), (23), (24),
% 186.36/30.79  | | | | | | |            (29), (30), (31), (33), (63) are inconsistent by
% 186.36/30.79  | | | | | | |            sub-proof #1496.
% 186.36/30.79  | | | | | | | 
% 186.36/30.79  | | | | | | End of split
% 186.36/30.79  | | | | | | 
% 186.36/30.79  | | | | | End of split
% 186.36/30.79  | | | | | 
% 186.36/30.79  | | | | Case 2:
% 186.36/30.79  | | | | | 
% 186.36/30.79  | | | | |   (64)  all_56_7 = e3 & op(e1, e2) = e3
% 186.36/30.79  | | | | | 
% 186.36/30.79  | | | | | REF_CLOSE: (8), (12), (64) are inconsistent by sub-proof #1495.
% 186.36/30.79  | | | | | 
% 186.36/30.79  | | | | End of split
% 186.36/30.79  | | | | 
% 186.36/30.79  | | | Case 2:
% 186.36/30.79  | | | | 
% 186.36/30.79  | | | |   (65)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0)
% 186.36/30.79  | | | |           = e3)
% 186.36/30.79  | | | | 
% 186.36/30.79  | | | | REF_CLOSE: (13), (18), (19), (24), (36), (65) are inconsistent by
% 186.36/30.79  | | | |            sub-proof #1493.
% 186.36/30.79  | | | | 
% 186.36/30.79  | | | End of split
% 186.36/30.79  | | | 
% 186.36/30.79  | | End of split
% 186.36/30.79  | | 
% 186.36/30.79  | End of split
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1493 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)   ~ (e3 = e1)
% 186.36/30.79    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.79    (3)  all_56_11 = e2
% 186.36/30.79    (4)   ~ (e3 = e2)
% 186.36/30.79    (5)  (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)
% 186.36/30.79    (6)  op(e1, e1) = e1
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | BETA: splitting (5) gives:
% 186.36/30.79  | 
% 186.36/30.79  | Case 1:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (7)  all_56_8 = e3 & op(e1, e1) = e3
% 186.36/30.79  | | 
% 186.36/30.79  | | ALPHA: (7) implies:
% 186.36/30.79  | |   (8)  op(e1, e1) = e3
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (1), (2), (6), (8) are inconsistent by sub-proof #1541.
% 186.36/30.79  | | 
% 186.36/30.79  | Case 2:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (9)  all_56_11 = e3 & op(e1, e0) = e3
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (3), (4), (9) are inconsistent by sub-proof #1494.
% 186.36/30.79  | | 
% 186.36/30.79  | End of split
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1494 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  all_56_11 = e3 & op(e1, e0) = e3
% 186.36/30.79    (2)  all_56_11 = e2
% 186.36/30.79    (3)   ~ (e3 = e2)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | ALPHA: (1) implies:
% 186.36/30.79  |   (4)  all_56_11 = e3
% 186.36/30.79  | 
% 186.36/30.79  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.79  |   (5)  e3 = e2
% 186.36/30.79  | 
% 186.36/30.79  | REDUCE: (3), (5) imply:
% 186.36/30.79  |   (6)  $false
% 186.36/30.79  | 
% 186.36/30.79  | CLOSE: (6) is inconsistent.
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1495 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  all_56_7 = e3 & op(e1, e2) = e3
% 186.36/30.79    (2)  all_56_7 = e0
% 186.36/30.79    (3)   ~ (e3 = e0)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | ALPHA: (1) implies:
% 186.36/30.79  |   (4)  all_56_7 = e3
% 186.36/30.79  | 
% 186.36/30.79  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.79  |   (5)  e3 = e0
% 186.36/30.79  | 
% 186.36/30.79  | REDUCE: (3), (5) imply:
% 186.36/30.79  |   (6)  $false
% 186.36/30.79  | 
% 186.36/30.79  | CLOSE: (6) is inconsistent.
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1496 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  op(e0, e0) = all_6_2
% 186.36/30.79    (2)  all_56_10 = e3
% 186.36/30.79    (3)   ~ (e1 = e0)
% 186.36/30.79    (4)   ~ (e3 = e0)
% 186.36/30.79    (5)   ~ (e2 = e0)
% 186.36/30.79    (6)   ~ (all_6_2 = e2)
% 186.36/30.79    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.79    (8)  op(e0, e0) = e3
% 186.36/30.79    (9)  op(e2, e0) = all_52_13
% 186.36/30.79    (10)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 186.36/30.79          (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.36/30.79    (11)   ~ (e3 = e2)
% 186.36/30.79    (12)  all_56_9 = e1
% 186.36/30.79    (13)   ~ (all_52_13 = e0)
% 186.36/30.79    (14)   ~ (e2 = e1)
% 186.36/30.79    (15)  (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) = e0)
% 186.36/30.79              | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0)
% 186.36/30.79                = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 = e0 &
% 186.36/30.79                op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1) = e0)))
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | BETA: splitting (15) gives:
% 186.36/30.79  | 
% 186.36/30.79  | Case 1:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (16)  all_56_15 = e0 & op(e0, e0) = e0
% 186.36/30.79  | | 
% 186.36/30.79  | | ALPHA: (16) implies:
% 186.36/30.79  | |   (17)  op(e0, e0) = e0
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (4), (7), (8), (17) are inconsistent by sub-proof #1540.
% 186.36/30.79  | | 
% 186.36/30.79  | Case 2:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (18)  ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 186.36/30.79  | |             e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 = e0 &
% 186.36/30.79  | |             op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 186.36/30.79  | |           (all_56_14 = e0 & op(e0, e1) = e0))
% 186.36/30.79  | | 
% 186.36/30.79  | | ALPHA: (18) implies:
% 186.36/30.79  | |   (19)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 186.36/30.79  | |           e0) | (all_56_11 = e0 & op(e1, e0) = e0)
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (10), (11), (12), (13), (14),
% 186.36/30.79  | |            (19) are inconsistent by sub-proof #1497.
% 186.36/30.79  | | 
% 186.36/30.79  | End of split
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1497 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  op(e0, e0) = all_6_2
% 186.36/30.79    (2)  all_56_10 = e3
% 186.36/30.79    (3)   ~ (e1 = e0)
% 186.36/30.79    (4)   ~ (e2 = e0)
% 186.36/30.79    (5)  (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0) = e0) |
% 186.36/30.79         (all_56_11 = e0 & op(e1, e0) = e0)
% 186.36/30.79    (6)   ~ (all_6_2 = e2)
% 186.36/30.79    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.79    (8)  op(e2, e0) = all_52_13
% 186.36/30.79    (9)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 186.36/30.79         (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.36/30.79    (10)   ~ (e3 = e2)
% 186.36/30.79    (11)  all_56_9 = e1
% 186.36/30.79    (12)   ~ (all_52_13 = e0)
% 186.36/30.79    (13)   ~ (e2 = e1)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | BETA: splitting (5) gives:
% 186.36/30.79  | 
% 186.36/30.79  | Case 1:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (14)  all_56_9 = e0 & op(e3, e0) = e0
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (3), (11), (14) are inconsistent by sub-proof #1505.
% 186.36/30.79  | | 
% 186.36/30.79  | Case 2:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (15)  (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 186.36/30.79  | |           e0)
% 186.36/30.79  | | 
% 186.36/30.79  | | BETA: splitting (15) gives:
% 186.36/30.79  | | 
% 186.36/30.79  | | Case 1:
% 186.36/30.79  | | | 
% 186.36/30.79  | | |   (16)  all_56_10 = e0 & op(e2, e0) = e0
% 186.36/30.79  | | | 
% 186.36/30.79  | | | ALPHA: (16) implies:
% 186.36/30.79  | | |   (17)  op(e2, e0) = e0
% 186.36/30.79  | | | 
% 186.36/30.79  | | | REF_CLOSE: (7), (8), (12), (17) are inconsistent by sub-proof #1504.
% 186.36/30.79  | | | 
% 186.36/30.79  | | Case 2:
% 186.36/30.79  | | | 
% 186.36/30.79  | | |   (18)  all_56_11 = e0 & op(e1, e0) = e0
% 186.36/30.79  | | | 
% 186.36/30.79  | | | ALPHA: (18) implies:
% 186.36/30.79  | | |   (19)  all_56_11 = e0
% 186.36/30.79  | | | 
% 186.36/30.79  | | | REF_CLOSE: (1), (2), (4), (6), (7), (9), (10), (11), (13), (19) are
% 186.36/30.79  | | |            inconsistent by sub-proof #1498.
% 186.36/30.79  | | | 
% 186.36/30.79  | | End of split
% 186.36/30.79  | | 
% 186.36/30.79  | End of split
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1498 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  op(e0, e0) = all_6_2
% 186.36/30.79    (2)  all_56_10 = e3
% 186.36/30.79    (3)   ~ (e2 = e0)
% 186.36/30.79    (4)   ~ (all_6_2 = e2)
% 186.36/30.79    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.79    (6)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2) |
% 186.36/30.79         (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.36/30.79    (7)   ~ (e3 = e2)
% 186.36/30.79    (8)  all_56_11 = e0
% 186.36/30.79    (9)  all_56_9 = e1
% 186.36/30.79    (10)   ~ (e2 = e1)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | BETA: splitting (6) gives:
% 186.36/30.79  | 
% 186.36/30.79  | Case 1:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (11)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 186.36/30.79  | |           e2)
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (2), (7), (9), (10), (11) are inconsistent by sub-proof #1501.
% 186.36/30.79  | | 
% 186.36/30.79  | Case 2:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (12)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.36/30.79  | |           e2)
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (1), (3), (4), (5), (8), (12) are inconsistent by sub-proof
% 186.36/30.79  | |            #1499.
% 186.36/30.79  | | 
% 186.36/30.79  | End of split
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1499 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  op(e0, e0) = all_6_2
% 186.36/30.79    (2)   ~ (e2 = e0)
% 186.36/30.79    (3)   ~ (all_6_2 = e2)
% 186.36/30.79    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.79    (5)  (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.36/30.79    (6)  all_56_11 = e0
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | BETA: splitting (5) gives:
% 186.36/30.79  | 
% 186.36/30.79  | Case 1:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (7)  all_56_11 = e2 & op(e1, e0) = e2
% 186.36/30.79  | | 
% 186.36/30.79  | | ALPHA: (7) implies:
% 186.36/30.79  | |   (8)  all_56_11 = e2
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (2), (6), (8) are inconsistent by sub-proof #1500.
% 186.36/30.79  | | 
% 186.36/30.79  | Case 2:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (9)  all_56_15 = e2 & op(e0, e0) = e2
% 186.36/30.79  | | 
% 186.36/30.79  | | ALPHA: (9) implies:
% 186.36/30.79  | |   (10)  op(e0, e0) = e2
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #1511.
% 186.36/30.79  | | 
% 186.36/30.79  | End of split
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1500 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  all_56_11 = e2
% 186.36/30.79    (2)  all_56_11 = e0
% 186.36/30.79    (3)   ~ (e2 = e0)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.79  |   (4)  e2 = e0
% 186.36/30.79  | 
% 186.36/30.79  | SIMP: (4) implies:
% 186.36/30.79  |   (5)  e2 = e0
% 186.36/30.79  | 
% 186.36/30.79  | REDUCE: (3), (5) imply:
% 186.36/30.79  |   (6)  $false
% 186.36/30.79  | 
% 186.36/30.79  | CLOSE: (6) is inconsistent.
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1501 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  all_56_10 = e3
% 186.36/30.79    (2)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 186.36/30.79    (3)   ~ (e3 = e2)
% 186.36/30.79    (4)  all_56_9 = e1
% 186.36/30.79    (5)   ~ (e2 = e1)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | BETA: splitting (2) gives:
% 186.36/30.79  | 
% 186.36/30.79  | Case 1:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (6)  all_56_9 = e2 & op(e3, e0) = e2
% 186.36/30.79  | | 
% 186.36/30.79  | | ALPHA: (6) implies:
% 186.36/30.79  | |   (7)  all_56_9 = e2
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #1503.
% 186.36/30.79  | | 
% 186.36/30.79  | Case 2:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (8)  all_56_10 = e2 & op(e2, e0) = e2
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #1502.
% 186.36/30.79  | | 
% 186.36/30.79  | End of split
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1502 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  all_56_10 = e2 & op(e2, e0) = e2
% 186.36/30.79    (2)  all_56_10 = e3
% 186.36/30.79    (3)   ~ (e3 = e2)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | ALPHA: (1) implies:
% 186.36/30.79  |   (4)  all_56_10 = e2
% 186.36/30.79  | 
% 186.36/30.79  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.79  |   (5)  e3 = e2
% 186.36/30.79  | 
% 186.36/30.79  | REDUCE: (3), (5) imply:
% 186.36/30.79  |   (6)  $false
% 186.36/30.79  | 
% 186.36/30.79  | CLOSE: (6) is inconsistent.
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1503 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  all_56_9 = e2
% 186.36/30.79    (2)  all_56_9 = e1
% 186.36/30.79    (3)   ~ (e2 = e1)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.79  |   (4)  e2 = e1
% 186.36/30.79  | 
% 186.36/30.79  | SIMP: (4) implies:
% 186.36/30.79  |   (5)  e2 = e1
% 186.36/30.79  | 
% 186.36/30.79  | REDUCE: (3), (5) imply:
% 186.36/30.79  |   (6)  $false
% 186.36/30.79  | 
% 186.36/30.79  | CLOSE: (6) is inconsistent.
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1504 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.79    (2)  op(e2, e0) = all_52_13
% 186.36/30.79    (3)  op(e2, e0) = e0
% 186.36/30.79    (4)   ~ (all_52_13 = e0)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | GROUND_INST: instantiating (1) with all_52_13, e0, e0, e2, simplifying with
% 186.36/30.79  |              (2), (3) gives:
% 186.36/30.79  |   (5)  all_52_13 = e0
% 186.36/30.79  | 
% 186.36/30.79  | REDUCE: (4), (5) imply:
% 186.36/30.79  |   (6)  $false
% 186.36/30.79  | 
% 186.36/30.79  | CLOSE: (6) is inconsistent.
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1505 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  all_56_9 = e0 & op(e3, e0) = e0
% 186.36/30.79    (2)  all_56_9 = e1
% 186.36/30.79    (3)   ~ (e1 = e0)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | ALPHA: (1) implies:
% 186.36/30.79  |   (4)  all_56_9 = e0
% 186.36/30.79  | 
% 186.36/30.79  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.79  |   (5)  e1 = e0
% 186.36/30.79  | 
% 186.36/30.79  | REDUCE: (3), (5) imply:
% 186.36/30.79  |   (6)  $false
% 186.36/30.79  | 
% 186.36/30.79  | CLOSE: (6) is inconsistent.
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1506 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  op(e0, e0) = all_6_2
% 186.36/30.79    (2)   ~ (all_6_2 = e1)
% 186.36/30.79    (3)   ~ (e1 = e0)
% 186.36/30.79    (4)   ~ (e2 = e0)
% 186.36/30.79    (5)   ~ (e3 = e1)
% 186.36/30.79    (6)   ~ (all_6_2 = e2)
% 186.36/30.79    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.79    (8)  all_56_12 = e0
% 186.36/30.79    (9)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) = e1) |
% 186.36/30.79         (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.36/30.79    (10)   ~ (e3 = e2)
% 186.36/30.79    (11)  all_56_14 = e3
% 186.36/30.79    (12)   ~ (e2 = e1)
% 186.36/30.79    (13)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.36/30.79          | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.36/30.79            e2)
% 186.36/30.79    (14)  op(e0, e3) = e0
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | BETA: splitting (9) gives:
% 186.36/30.79  | 
% 186.36/30.79  | Case 1:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (15)  (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 186.36/30.79  | |           e1)
% 186.36/30.79  | | 
% 186.36/30.79  | | BETA: splitting (15) gives:
% 186.36/30.79  | | 
% 186.36/30.79  | | Case 1:
% 186.36/30.79  | | | 
% 186.36/30.79  | | |   (16)  all_56_12 = e1 & op(e0, e3) = e1
% 186.36/30.79  | | | 
% 186.36/30.79  | | | ALPHA: (16) implies:
% 186.36/30.79  | | |   (17)  op(e0, e3) = e1
% 186.36/30.79  | | | 
% 186.36/30.79  | | | REF_CLOSE: (3), (7), (14), (17) are inconsistent by sub-proof #1589.
% 186.36/30.79  | | | 
% 186.36/30.79  | | Case 2:
% 186.36/30.79  | | | 
% 186.36/30.79  | | |   (18)  all_56_13 = e1 & op(e0, e2) = e1
% 186.36/30.79  | | | 
% 186.36/30.79  | | | ALPHA: (18) implies:
% 186.36/30.79  | | |   (19)  all_56_13 = e1
% 186.36/30.79  | | | 
% 186.36/30.79  | | | REF_CLOSE: (1), (4), (6), (7), (8), (10), (11), (12), (13), (19) are
% 186.36/30.79  | | |            inconsistent by sub-proof #1509.
% 186.36/30.79  | | | 
% 186.36/30.79  | | End of split
% 186.36/30.79  | | 
% 186.36/30.79  | Case 2:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (20)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 186.36/30.79  | |           e1)
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (1), (2), (5), (7), (11), (20) are inconsistent by sub-proof
% 186.36/30.79  | |            #1507.
% 186.36/30.79  | | 
% 186.36/30.79  | End of split
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1507 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  op(e0, e0) = all_6_2
% 186.36/30.79    (2)   ~ (all_6_2 = e1)
% 186.36/30.79    (3)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.36/30.79    (4)   ~ (e3 = e1)
% 186.36/30.79    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.79    (6)  all_56_14 = e3
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | BETA: splitting (3) gives:
% 186.36/30.79  | 
% 186.36/30.79  | Case 1:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (7)  all_56_14 = e1 & op(e0, e1) = e1
% 186.36/30.79  | | 
% 186.36/30.79  | | ALPHA: (7) implies:
% 186.36/30.79  | |   (8)  all_56_14 = e1
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (4), (6), (8) are inconsistent by sub-proof #1508.
% 186.36/30.79  | | 
% 186.36/30.79  | Case 2:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (9)  all_56_15 = e1 & op(e0, e0) = e1
% 186.36/30.79  | | 
% 186.36/30.79  | | ALPHA: (9) implies:
% 186.36/30.79  | |   (10)  op(e0, e0) = e1
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #1516.
% 186.36/30.79  | | 
% 186.36/30.79  | End of split
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1508 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  all_56_14 = e3
% 186.36/30.79    (2)  all_56_14 = e1
% 186.36/30.79    (3)   ~ (e3 = e1)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.79  |   (4)  e3 = e1
% 186.36/30.79  | 
% 186.36/30.79  | SIMP: (4) implies:
% 186.36/30.79  |   (5)  e3 = e1
% 186.36/30.79  | 
% 186.36/30.79  | REDUCE: (3), (5) imply:
% 186.36/30.79  |   (6)  $false
% 186.36/30.79  | 
% 186.36/30.79  | CLOSE: (6) is inconsistent.
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1509 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  op(e0, e0) = all_6_2
% 186.36/30.79    (2)   ~ (e2 = e0)
% 186.36/30.79    (3)   ~ (all_6_2 = e2)
% 186.36/30.79    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.79    (5)  all_56_12 = e0
% 186.36/30.79    (6)   ~ (e3 = e2)
% 186.36/30.79    (7)  all_56_14 = e3
% 186.36/30.79    (8)   ~ (e2 = e1)
% 186.36/30.79    (9)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2) |
% 186.36/30.79         (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.36/30.79    (10)  all_56_13 = e1
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | BETA: splitting (9) gives:
% 186.36/30.79  | 
% 186.36/30.79  | Case 1:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (11)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 186.36/30.79  | |           e2)
% 186.36/30.79  | | 
% 186.36/30.79  | | BETA: splitting (11) gives:
% 186.36/30.79  | | 
% 186.36/30.79  | | Case 1:
% 186.36/30.79  | | | 
% 186.36/30.79  | | |   (12)  all_56_12 = e2 & op(e0, e3) = e2
% 186.36/30.79  | | | 
% 186.36/30.79  | | | REF_CLOSE: (2), (5), (12) are inconsistent by sub-proof #1514.
% 186.36/30.79  | | | 
% 186.36/30.79  | | Case 2:
% 186.36/30.79  | | | 
% 186.36/30.79  | | |   (13)  all_56_13 = e2 & op(e0, e2) = e2
% 186.36/30.79  | | | 
% 186.36/30.79  | | | REF_CLOSE: (8), (10), (13) are inconsistent by sub-proof #1513.
% 186.36/30.79  | | | 
% 186.36/30.79  | | End of split
% 186.36/30.79  | | 
% 186.36/30.79  | Case 2:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (14)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) =
% 186.36/30.79  | |           e2)
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (1), (3), (4), (6), (7), (14) are inconsistent by sub-proof
% 186.36/30.79  | |            #1510.
% 186.36/30.79  | | 
% 186.36/30.79  | End of split
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1510 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  op(e0, e0) = all_6_2
% 186.36/30.79    (2)   ~ (all_6_2 = e2)
% 186.36/30.79    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.79    (4)   ~ (e3 = e2)
% 186.36/30.79    (5)  all_56_14 = e3
% 186.36/30.79    (6)  (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | BETA: splitting (6) gives:
% 186.36/30.79  | 
% 186.36/30.79  | Case 1:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (7)  all_56_14 = e2 & op(e0, e1) = e2
% 186.36/30.79  | | 
% 186.36/30.79  | | ALPHA: (7) implies:
% 186.36/30.79  | |   (8)  all_56_14 = e2
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (4), (5), (8) are inconsistent by sub-proof #1512.
% 186.36/30.79  | | 
% 186.36/30.79  | Case 2:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (9)  all_56_15 = e2 & op(e0, e0) = e2
% 186.36/30.79  | | 
% 186.36/30.79  | | ALPHA: (9) implies:
% 186.36/30.79  | |   (10)  op(e0, e0) = e2
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #1511.
% 186.36/30.79  | | 
% 186.36/30.79  | End of split
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1511 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.79    (2)  op(e0, e0) = all_6_2
% 186.36/30.79    (3)  op(e0, e0) = e2
% 186.36/30.79    (4)   ~ (all_6_2 = e2)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | GROUND_INST: instantiating (1) with all_6_2, e2, e0, e0, simplifying with (2),
% 186.36/30.79  |              (3) gives:
% 186.36/30.79  |   (5)  all_6_2 = e2
% 186.36/30.79  | 
% 186.36/30.79  | REDUCE: (4), (5) imply:
% 186.36/30.79  |   (6)  $false
% 186.36/30.79  | 
% 186.36/30.79  | CLOSE: (6) is inconsistent.
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1512 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  all_56_14 = e3
% 186.36/30.79    (2)  all_56_14 = e2
% 186.36/30.79    (3)   ~ (e3 = e2)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.79  |   (4)  e3 = e2
% 186.36/30.79  | 
% 186.36/30.79  | SIMP: (4) implies:
% 186.36/30.79  |   (5)  e3 = e2
% 186.36/30.79  | 
% 186.36/30.79  | REDUCE: (3), (5) imply:
% 186.36/30.79  |   (6)  $false
% 186.36/30.79  | 
% 186.36/30.79  | CLOSE: (6) is inconsistent.
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1513 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  all_56_13 = e2 & op(e0, e2) = e2
% 186.36/30.79    (2)  all_56_13 = e1
% 186.36/30.79    (3)   ~ (e2 = e1)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | ALPHA: (1) implies:
% 186.36/30.79  |   (4)  all_56_13 = e2
% 186.36/30.79  | 
% 186.36/30.79  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.79  |   (5)  e2 = e1
% 186.36/30.79  | 
% 186.36/30.79  | REDUCE: (3), (5) imply:
% 186.36/30.79  |   (6)  $false
% 186.36/30.79  | 
% 186.36/30.79  | CLOSE: (6) is inconsistent.
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1514 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  all_56_12 = e2 & op(e0, e3) = e2
% 186.36/30.79    (2)  all_56_12 = e0
% 186.36/30.79    (3)   ~ (e2 = e0)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | ALPHA: (1) implies:
% 186.36/30.79  |   (4)  all_56_12 = e2
% 186.36/30.79  | 
% 186.36/30.79  | COMBINE_EQS: (2), (4) imply:
% 186.36/30.79  |   (5)  e2 = e0
% 186.36/30.79  | 
% 186.36/30.79  | REDUCE: (3), (5) imply:
% 186.36/30.79  |   (6)  $false
% 186.36/30.79  | 
% 186.36/30.79  | CLOSE: (6) is inconsistent.
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1515 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)  op(e0, e0) = all_6_2
% 186.36/30.79    (2)   ~ (all_52_11 = e1)
% 186.36/30.79    (3)   ~ (all_6_2 = e1)
% 186.36/30.79    (4)  (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0, e0) = e1)
% 186.36/30.79    (5)  op(e0, e1) = all_52_11
% 186.36/30.79    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | BETA: splitting (4) gives:
% 186.36/30.79  | 
% 186.36/30.79  | Case 1:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (7)  all_56_14 = e1 & op(e0, e1) = e1
% 186.36/30.79  | | 
% 186.36/30.79  | | ALPHA: (7) implies:
% 186.36/30.79  | |   (8)  op(e0, e1) = e1
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1517.
% 186.36/30.79  | | 
% 186.36/30.79  | Case 2:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (9)  all_56_15 = e1 & op(e0, e0) = e1
% 186.36/30.79  | | 
% 186.36/30.79  | | ALPHA: (9) implies:
% 186.36/30.79  | |   (10)  op(e0, e0) = e1
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1516.
% 186.36/30.79  | | 
% 186.36/30.79  | End of split
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1516 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.79    (2)  op(e0, e0) = all_6_2
% 186.36/30.79    (3)  op(e0, e0) = e1
% 186.36/30.79    (4)   ~ (all_6_2 = e1)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | GROUND_INST: instantiating (1) with all_6_2, e1, e0, e0, simplifying with (2),
% 186.36/30.79  |              (3) gives:
% 186.36/30.79  |   (5)  all_6_2 = e1
% 186.36/30.79  | 
% 186.36/30.79  | REDUCE: (4), (5) imply:
% 186.36/30.79  |   (6)  $false
% 186.36/30.79  | 
% 186.36/30.79  | CLOSE: (6) is inconsistent.
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1517 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.79           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.79    (2)  op(e0, e1) = all_52_11
% 186.36/30.79    (3)  op(e0, e1) = e1
% 186.36/30.79    (4)   ~ (all_52_11 = e1)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | GROUND_INST: instantiating (1) with all_52_11, e1, e1, e0, simplifying with
% 186.36/30.79  |              (2), (3) gives:
% 186.36/30.79  |   (5)  all_52_11 = e1
% 186.36/30.79  | 
% 186.36/30.79  | REDUCE: (4), (5) imply:
% 186.36/30.79  |   (6)  $false
% 186.36/30.79  | 
% 186.36/30.79  | CLOSE: (6) is inconsistent.
% 186.36/30.79  | 
% 186.36/30.79  End of proof
% 186.36/30.79  
% 186.36/30.79  Sub-proof #1518 shows that the following formulas are inconsistent:
% 186.36/30.79  ----------------------------------------------------------------
% 186.36/30.79    (1)   ~ (all_4_2 = e0)
% 186.36/30.79    (2)  all_56_2 = e1
% 186.36/30.79    (3)   ~ (e1 = e0)
% 186.36/30.79    (4)   ~ (e3 = e0)
% 186.36/30.79    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.36/30.79         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.36/30.79    (6)   ~ (e3 = e1)
% 186.36/30.79    (7)  e3 = e1
% 186.36/30.79    (8)  op(e3, e3) = e2
% 186.36/30.79    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 186.36/30.79         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.36/30.79    (10)  op(e0, e3) = all_52_3
% 186.36/30.79    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.36/30.79            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.36/30.79    (12)  all_56_6 = e3
% 186.36/30.79    (13)   ~ (e3 = e2)
% 186.36/30.79    (14)  op(e3, e3) = all_4_2
% 186.36/30.79    (15)   ~ (all_4_2 = e1)
% 186.36/30.79    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.36/30.79          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.36/30.79  
% 186.36/30.79  Begin of proof
% 186.36/30.79  | 
% 186.36/30.79  | COMBINE_EQS: (7), (12) imply:
% 186.36/30.79  |   (17)  all_56_6 = e1
% 186.36/30.79  | 
% 186.36/30.79  | BETA: splitting (9) gives:
% 186.36/30.79  | 
% 186.36/30.79  | Case 1:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (18)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 186.36/30.79  | |           e3)
% 186.36/30.79  | | 
% 186.36/30.79  | | REF_CLOSE: (2), (6), (8), (11), (13), (18) are inconsistent by sub-proof
% 186.36/30.79  | |            #1557.
% 186.36/30.79  | | 
% 186.36/30.79  | Case 2:
% 186.36/30.79  | | 
% 186.36/30.79  | |   (19)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 186.36/30.79  | |           e3)
% 186.36/30.79  | | 
% 186.36/30.79  | | BETA: splitting (19) gives:
% 186.36/30.79  | | 
% 186.36/30.79  | | Case 1:
% 186.36/30.79  | | | 
% 186.36/30.80  | | |   (20)  all_56_6 = e3 & op(e1, e3) = e3
% 186.36/30.80  | | | 
% 186.36/30.80  | | | REF_CLOSE: (6), (12), (17) are inconsistent by sub-proof #1546.
% 186.36/30.80  | | | 
% 186.36/30.80  | | Case 2:
% 186.36/30.80  | | | 
% 186.36/30.80  | | |   (21)  all_56_12 = e3 & op(e0, e3) = e3
% 186.36/30.80  | | | 
% 186.36/30.80  | | | ALPHA: (21) implies:
% 186.36/30.80  | | |   (22)  all_56_12 = e3
% 186.36/30.80  | | |   (23)  op(e0, e3) = e3
% 186.36/30.80  | | | 
% 186.36/30.80  | | | BETA: splitting (16) gives:
% 186.36/30.80  | | | 
% 186.36/30.80  | | | Case 1:
% 186.36/30.80  | | | | 
% 186.36/30.80  | | | |   (24)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3)
% 186.36/30.80  | | | |           = e0)
% 186.36/30.80  | | | | 
% 186.36/30.80  | | | | BETA: splitting (24) gives:
% 186.36/30.80  | | | | 
% 186.36/30.80  | | | | Case 1:
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | |   (25)  all_56_0 = e0 & op(e3, e3) = e0
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | | ALPHA: (25) implies:
% 186.36/30.80  | | | | |   (26)  op(e3, e3) = e0
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | | REF_CLOSE: (1), (11), (14), (26) are inconsistent by sub-proof #1624.
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | Case 2:
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | |   (27)  all_56_2 = e0 & op(e2, e3) = e0
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | | ALPHA: (27) implies:
% 186.36/30.80  | | | | |   (28)  all_56_2 = e0
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | | COMBINE_EQS: (2), (28) imply:
% 186.36/30.80  | | | | |   (29)  e1 = e0
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | | SIMP: (29) implies:
% 186.36/30.80  | | | | |   (30)  e1 = e0
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | | COMBINE_EQS: (17), (30) imply:
% 186.36/30.80  | | | | |   (31)  all_56_6 = e0
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | | REF_CLOSE: (3), (5), (6), (10), (11), (14), (15), (23), (28), (31) are
% 186.36/30.80  | | | | |            inconsistent by sub-proof #1520.
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | End of split
% 186.36/30.80  | | | | 
% 186.36/30.80  | | | Case 2:
% 186.36/30.80  | | | | 
% 186.36/30.80  | | | |   (32)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3)
% 186.36/30.80  | | | |           = e0)
% 186.36/30.80  | | | | 
% 186.36/30.80  | | | | BETA: splitting (32) gives:
% 186.36/30.80  | | | | 
% 186.36/30.80  | | | | Case 1:
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | |   (33)  all_56_6 = e0 & op(e1, e3) = e0
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | | ALPHA: (33) implies:
% 186.36/30.80  | | | | |   (34)  all_56_6 = e0
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | | COMBINE_EQS: (17), (34) imply:
% 186.36/30.80  | | | | |   (35)  e1 = e0
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | | SIMP: (35) implies:
% 186.36/30.80  | | | | |   (36)  e1 = e0
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | | COMBINE_EQS: (2), (36) imply:
% 186.36/30.80  | | | | |   (37)  all_56_2 = e0
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | | REF_CLOSE: (3), (5), (6), (10), (11), (14), (15), (23), (34), (37) are
% 186.36/30.80  | | | | |            inconsistent by sub-proof #1520.
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | Case 2:
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | |   (38)  all_56_12 = e0 & op(e0, e3) = e0
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | | ALPHA: (38) implies:
% 186.36/30.80  | | | | |   (39)  all_56_12 = e0
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | | REF_CLOSE: (4), (22), (39) are inconsistent by sub-proof #1519.
% 186.36/30.80  | | | | | 
% 186.36/30.80  | | | | End of split
% 186.36/30.80  | | | | 
% 186.36/30.80  | | | End of split
% 186.36/30.80  | | | 
% 186.36/30.80  | | End of split
% 186.36/30.80  | | 
% 186.36/30.80  | End of split
% 186.36/30.80  | 
% 186.36/30.80  End of proof
% 186.36/30.80  
% 186.36/30.80  Sub-proof #1519 shows that the following formulas are inconsistent:
% 186.36/30.80  ----------------------------------------------------------------
% 186.36/30.80    (1)  all_56_12 = e3
% 186.36/30.80    (2)  all_56_12 = e0
% 186.36/30.80    (3)   ~ (e3 = e0)
% 186.36/30.80  
% 186.36/30.80  Begin of proof
% 186.36/30.80  | 
% 186.36/30.80  | COMBINE_EQS: (1), (2) imply:
% 186.36/30.80  |   (4)  e3 = e0
% 186.36/30.80  | 
% 186.36/30.80  | SIMP: (4) implies:
% 186.36/30.80  |   (5)  e3 = e0
% 186.36/30.80  | 
% 186.36/30.80  | REDUCE: (3), (5) imply:
% 186.36/30.80  |   (6)  $false
% 186.36/30.80  | 
% 186.36/30.80  | CLOSE: (6) is inconsistent.
% 186.36/30.80  | 
% 186.36/30.80  End of proof
% 186.36/30.80  
% 186.36/30.80  Sub-proof #1520 shows that the following formulas are inconsistent:
% 186.36/30.80  ----------------------------------------------------------------
% 186.36/30.80    (1)  op(e0, e3) = e3
% 186.36/30.80    (2)  all_56_6 = e0
% 186.36/30.80    (3)   ~ (e1 = e0)
% 186.36/30.80    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.36/30.80         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.36/30.80    (5)  all_56_2 = e0
% 186.36/30.80    (6)   ~ (e3 = e1)
% 186.36/30.80    (7)  op(e0, e3) = all_52_3
% 186.46/30.80    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.80    (9)  op(e3, e3) = all_4_2
% 186.46/30.80    (10)   ~ (all_4_2 = e1)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | BETA: splitting (4) gives:
% 186.46/30.80  | 
% 186.46/30.80  | Case 1:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (11)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 186.46/30.80  | |           e1)
% 186.46/30.80  | | 
% 186.46/30.80  | | REF_CLOSE: (3), (5), (8), (9), (10), (11) are inconsistent by sub-proof
% 186.46/30.80  | |            #1523.
% 186.46/30.80  | | 
% 186.46/30.80  | Case 2:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (12)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 186.46/30.80  | |           e1)
% 186.46/30.80  | | 
% 186.46/30.80  | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (12) are inconsistent by sub-proof
% 186.46/30.80  | |            #1521.
% 186.46/30.80  | | 
% 186.46/30.80  | End of split
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1521 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)  op(e0, e3) = e3
% 186.46/30.80    (2)  all_56_6 = e0
% 186.46/30.80    (3)   ~ (e1 = e0)
% 186.46/30.80    (4)   ~ (e3 = e1)
% 186.46/30.80    (5)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.46/30.80    (6)  op(e0, e3) = all_52_3
% 186.46/30.80    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | BETA: splitting (5) gives:
% 186.46/30.80  | 
% 186.46/30.80  | Case 1:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (8)  all_56_6 = e1 & op(e1, e3) = e1
% 186.46/30.80  | | 
% 186.46/30.80  | | REF_CLOSE: (2), (3), (8) are inconsistent by sub-proof #1522.
% 186.46/30.80  | | 
% 186.46/30.80  | Case 2:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (9)  all_56_12 = e1 & op(e0, e3) = e1
% 186.46/30.80  | | 
% 186.46/30.80  | | ALPHA: (9) implies:
% 186.46/30.80  | |   (10)  op(e0, e3) = e1
% 186.46/30.80  | | 
% 186.46/30.80  | | REF_CLOSE: (1), (4), (6), (7), (10) are inconsistent by sub-proof #1529.
% 186.46/30.80  | | 
% 186.46/30.80  | End of split
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1522 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)  all_56_6 = e1 & op(e1, e3) = e1
% 186.46/30.80    (2)  all_56_6 = e0
% 186.46/30.80    (3)   ~ (e1 = e0)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | ALPHA: (1) implies:
% 186.46/30.80  |   (4)  all_56_6 = e1
% 186.46/30.80  | 
% 186.46/30.80  | COMBINE_EQS: (2), (4) imply:
% 186.46/30.80  |   (5)  e1 = e0
% 186.46/30.80  | 
% 186.46/30.80  | REDUCE: (3), (5) imply:
% 186.46/30.80  |   (6)  $false
% 186.46/30.80  | 
% 186.46/30.80  | CLOSE: (6) is inconsistent.
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1523 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)   ~ (e1 = e0)
% 186.46/30.80    (2)  all_56_2 = e0
% 186.46/30.80    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.80    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 186.46/30.80    (5)  op(e3, e3) = all_4_2
% 186.46/30.80    (6)   ~ (all_4_2 = e1)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | BETA: splitting (4) gives:
% 186.46/30.80  | 
% 186.46/30.80  | Case 1:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (7)  all_56_0 = e1 & op(e3, e3) = e1
% 186.46/30.80  | | 
% 186.46/30.80  | | ALPHA: (7) implies:
% 186.46/30.80  | |   (8)  op(e3, e3) = e1
% 186.46/30.80  | | 
% 186.46/30.80  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #1525.
% 186.46/30.80  | | 
% 186.46/30.80  | Case 2:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (9)  all_56_2 = e1 & op(e2, e3) = e1
% 186.46/30.80  | | 
% 186.46/30.80  | | REF_CLOSE: (1), (2), (9) are inconsistent by sub-proof #1524.
% 186.46/30.80  | | 
% 186.46/30.80  | End of split
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1524 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)  all_56_2 = e1 & op(e2, e3) = e1
% 186.46/30.80    (2)  all_56_2 = e0
% 186.46/30.80    (3)   ~ (e1 = e0)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | ALPHA: (1) implies:
% 186.46/30.80  |   (4)  all_56_2 = e1
% 186.46/30.80  | 
% 186.46/30.80  | COMBINE_EQS: (2), (4) imply:
% 186.46/30.80  |   (5)  e1 = e0
% 186.46/30.80  | 
% 186.46/30.80  | REDUCE: (3), (5) imply:
% 186.46/30.80  |   (6)  $false
% 186.46/30.80  | 
% 186.46/30.80  | CLOSE: (6) is inconsistent.
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1525 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.80    (2)  op(e3, e3) = all_4_2
% 186.46/30.80    (3)  op(e3, e3) = e1
% 186.46/30.80    (4)   ~ (all_4_2 = e1)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | GROUND_INST: instantiating (1) with all_4_2, e1, e3, e3, simplifying with (2),
% 186.46/30.80  |              (3) gives:
% 186.46/30.80  |   (5)  all_4_2 = e1
% 186.46/30.80  | 
% 186.46/30.80  | REDUCE: (4), (5) imply:
% 186.46/30.80  |   (6)  $false
% 186.46/30.80  | 
% 186.46/30.80  | CLOSE: (6) is inconsistent.
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1526 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)   ~ (all_4_2 = e0)
% 186.46/30.80    (2)  all_56_2 = e1
% 186.46/30.80    (3)   ~ (e1 = e0)
% 186.46/30.80    (4)   ~ (e3 = e0)
% 186.46/30.80    (5)  op(e0, e3) = e1
% 186.46/30.80    (6)   ~ (e3 = e1)
% 186.46/30.80    (7)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 186.46/30.80         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.46/30.80    (8)  op(e0, e3) = all_52_3
% 186.46/30.80    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.80    (10)  all_56_0 = e2
% 186.46/30.80    (11)   ~ (e3 = e2)
% 186.46/30.80    (12)  op(e3, e3) = all_4_2
% 186.46/30.80    (13)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.46/30.80          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | BETA: splitting (13) gives:
% 186.46/30.80  | 
% 186.46/30.80  | Case 1:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 186.46/30.80  | |           e0)
% 186.46/30.80  | | 
% 186.46/30.80  | | REF_CLOSE: (1), (2), (3), (9), (12), (14) are inconsistent by sub-proof
% 186.46/30.80  | |            #1534.
% 186.46/30.80  | | 
% 186.46/30.80  | Case 2:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 186.46/30.80  | |           e0)
% 186.46/30.80  | | 
% 186.46/30.80  | | BETA: splitting (15) gives:
% 186.46/30.80  | | 
% 186.46/30.80  | | Case 1:
% 186.46/30.80  | | | 
% 186.46/30.80  | | |   (16)  all_56_6 = e0 & op(e1, e3) = e0
% 186.46/30.80  | | | 
% 186.46/30.80  | | | ALPHA: (16) implies:
% 186.46/30.80  | | |   (17)  all_56_6 = e0
% 186.46/30.80  | | | 
% 186.46/30.80  | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (11), (17) are
% 186.46/30.80  | | |            inconsistent by sub-proof #1527.
% 186.46/30.80  | | | 
% 186.46/30.80  | | Case 2:
% 186.46/30.80  | | | 
% 186.46/30.80  | | |   (18)  all_56_12 = e0 & op(e0, e3) = e0
% 186.46/30.80  | | | 
% 186.46/30.80  | | | ALPHA: (18) implies:
% 186.46/30.80  | | |   (19)  op(e0, e3) = e0
% 186.46/30.80  | | | 
% 186.46/30.80  | | | REF_CLOSE: (3), (5), (9), (19) are inconsistent by sub-proof #1589.
% 186.46/30.80  | | | 
% 186.46/30.80  | | End of split
% 186.46/30.80  | | 
% 186.46/30.80  | End of split
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1527 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)  all_56_6 = e0
% 186.46/30.80    (2)  all_56_2 = e1
% 186.46/30.80    (3)   ~ (e3 = e0)
% 186.46/30.80    (4)  op(e0, e3) = e1
% 186.46/30.80    (5)   ~ (e3 = e1)
% 186.46/30.80    (6)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 186.46/30.80         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.46/30.80    (7)  op(e0, e3) = all_52_3
% 186.46/30.80    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.80    (9)  all_56_0 = e2
% 186.46/30.80    (10)   ~ (e3 = e2)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | BETA: splitting (6) gives:
% 186.46/30.80  | 
% 186.46/30.80  | Case 1:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (11)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 186.46/30.80  | |           e3)
% 186.46/30.80  | | 
% 186.46/30.80  | | BETA: splitting (11) gives:
% 186.46/30.80  | | 
% 186.46/30.80  | | Case 1:
% 186.46/30.80  | | | 
% 186.46/30.80  | | |   (12)  all_56_0 = e3 & op(e3, e3) = e3
% 186.46/30.80  | | | 
% 186.46/30.80  | | | REF_CLOSE: (9), (10), (12) are inconsistent by sub-proof #1532.
% 186.46/30.80  | | | 
% 186.46/30.80  | | Case 2:
% 186.46/30.80  | | | 
% 186.46/30.80  | | |   (13)  all_56_2 = e3 & op(e2, e3) = e3
% 186.46/30.80  | | | 
% 186.46/30.80  | | | REF_CLOSE: (2), (5), (13) are inconsistent by sub-proof #1531.
% 186.46/30.80  | | | 
% 186.46/30.80  | | End of split
% 186.46/30.80  | | 
% 186.46/30.80  | Case 2:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (14)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 186.46/30.80  | |           e3)
% 186.46/30.80  | | 
% 186.46/30.80  | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (14) are inconsistent by sub-proof
% 186.46/30.80  | |            #1528.
% 186.46/30.80  | | 
% 186.46/30.80  | End of split
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1528 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)  all_56_6 = e0
% 186.46/30.80    (2)   ~ (e3 = e0)
% 186.46/30.80    (3)  op(e0, e3) = e1
% 186.46/30.80    (4)   ~ (e3 = e1)
% 186.46/30.80    (5)  op(e0, e3) = all_52_3
% 186.46/30.80    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.80    (7)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | BETA: splitting (7) gives:
% 186.46/30.80  | 
% 186.46/30.80  | Case 1:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (8)  all_56_6 = e3 & op(e1, e3) = e3
% 186.46/30.80  | | 
% 186.46/30.80  | | REF_CLOSE: (1), (2), (8) are inconsistent by sub-proof #1530.
% 186.46/30.80  | | 
% 186.46/30.80  | Case 2:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (9)  all_56_12 = e3 & op(e0, e3) = e3
% 186.46/30.80  | | 
% 186.46/30.80  | | ALPHA: (9) implies:
% 186.46/30.80  | |   (10)  op(e0, e3) = e3
% 186.46/30.80  | | 
% 186.46/30.80  | | REF_CLOSE: (3), (4), (5), (6), (10) are inconsistent by sub-proof #1529.
% 186.46/30.80  | | 
% 186.46/30.80  | End of split
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1529 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)  op(e0, e3) = e3
% 186.46/30.80    (2)  op(e0, e3) = e1
% 186.46/30.80    (3)   ~ (e3 = e1)
% 186.46/30.80    (4)  op(e0, e3) = all_52_3
% 186.46/30.80    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | GROUND_INST: instantiating (5) with all_52_3, e1, e3, e0, simplifying with
% 186.46/30.80  |              (2), (4) gives:
% 186.46/30.80  |   (6)  all_52_3 = e1
% 186.46/30.80  | 
% 186.46/30.80  | GROUND_INST: instantiating (5) with all_52_3, e3, e3, e0, simplifying with
% 186.46/30.80  |              (1), (4) gives:
% 186.46/30.80  |   (7)  all_52_3 = e3
% 186.46/30.80  | 
% 186.46/30.80  | COMBINE_EQS: (6), (7) imply:
% 186.46/30.80  |   (8)  e3 = e1
% 186.46/30.80  | 
% 186.46/30.80  | REDUCE: (3), (8) imply:
% 186.46/30.80  |   (9)  $false
% 186.46/30.80  | 
% 186.46/30.80  | CLOSE: (9) is inconsistent.
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1530 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)  all_56_6 = e3 & op(e1, e3) = e3
% 186.46/30.80    (2)  all_56_6 = e0
% 186.46/30.80    (3)   ~ (e3 = e0)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | ALPHA: (1) implies:
% 186.46/30.80  |   (4)  all_56_6 = e3
% 186.46/30.80  | 
% 186.46/30.80  | COMBINE_EQS: (2), (4) imply:
% 186.46/30.80  |   (5)  e3 = e0
% 186.46/30.80  | 
% 186.46/30.80  | REDUCE: (3), (5) imply:
% 186.46/30.80  |   (6)  $false
% 186.46/30.80  | 
% 186.46/30.80  | CLOSE: (6) is inconsistent.
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1531 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)  all_56_2 = e3 & op(e2, e3) = e3
% 186.46/30.80    (2)  all_56_2 = e1
% 186.46/30.80    (3)   ~ (e3 = e1)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | ALPHA: (1) implies:
% 186.46/30.80  |   (4)  all_56_2 = e3
% 186.46/30.80  | 
% 186.46/30.80  | COMBINE_EQS: (2), (4) imply:
% 186.46/30.80  |   (5)  e3 = e1
% 186.46/30.80  | 
% 186.46/30.80  | REDUCE: (3), (5) imply:
% 186.46/30.80  |   (6)  $false
% 186.46/30.80  | 
% 186.46/30.80  | CLOSE: (6) is inconsistent.
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1532 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)  all_56_0 = e3 & op(e3, e3) = e3
% 186.46/30.80    (2)  all_56_0 = e2
% 186.46/30.80    (3)   ~ (e3 = e2)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | ALPHA: (1) implies:
% 186.46/30.80  |   (4)  all_56_0 = e3
% 186.46/30.80  | 
% 186.46/30.80  | COMBINE_EQS: (2), (4) imply:
% 186.46/30.80  |   (5)  e3 = e2
% 186.46/30.80  | 
% 186.46/30.80  | SIMP: (5) implies:
% 186.46/30.80  |   (6)  e3 = e2
% 186.46/30.80  | 
% 186.46/30.80  | REDUCE: (3), (6) imply:
% 186.46/30.80  |   (7)  $false
% 186.46/30.80  | 
% 186.46/30.80  | CLOSE: (7) is inconsistent.
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1533 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)  all_56_12 = e3 & op(e0, e3) = e3
% 186.46/30.80    (2)  all_56_12 = e0
% 186.46/30.80    (3)   ~ (e3 = e0)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | ALPHA: (1) implies:
% 186.46/30.80  |   (4)  all_56_12 = e3
% 186.46/30.80  | 
% 186.46/30.80  | COMBINE_EQS: (2), (4) imply:
% 186.46/30.80  |   (5)  e3 = e0
% 186.46/30.80  | 
% 186.46/30.80  | REDUCE: (3), (5) imply:
% 186.46/30.80  |   (6)  $false
% 186.46/30.80  | 
% 186.46/30.80  | CLOSE: (6) is inconsistent.
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1534 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 186.46/30.80    (2)   ~ (all_4_2 = e0)
% 186.46/30.80    (3)  all_56_2 = e1
% 186.46/30.80    (4)   ~ (e1 = e0)
% 186.46/30.80    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.80    (6)  op(e3, e3) = all_4_2
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | BETA: splitting (1) gives:
% 186.46/30.80  | 
% 186.46/30.80  | Case 1:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 186.46/30.80  | | 
% 186.46/30.80  | | ALPHA: (7) implies:
% 186.46/30.80  | |   (8)  op(e3, e3) = e0
% 186.46/30.80  | | 
% 186.46/30.80  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1624.
% 186.46/30.80  | | 
% 186.46/30.80  | Case 2:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (9)  all_56_2 = e0 & op(e2, e3) = e0
% 186.46/30.80  | | 
% 186.46/30.80  | | ALPHA: (9) implies:
% 186.46/30.80  | |   (10)  all_56_2 = e0
% 186.46/30.80  | | 
% 186.46/30.80  | | REF_CLOSE: (3), (4), (10) are inconsistent by sub-proof #1535.
% 186.46/30.80  | | 
% 186.46/30.80  | End of split
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1535 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)  all_56_2 = e1
% 186.46/30.80    (2)  all_56_2 = e0
% 186.46/30.80    (3)   ~ (e1 = e0)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | COMBINE_EQS: (1), (2) imply:
% 186.46/30.80  |   (4)  e1 = e0
% 186.46/30.80  | 
% 186.46/30.80  | SIMP: (4) implies:
% 186.46/30.80  |   (5)  e1 = e0
% 186.46/30.80  | 
% 186.46/30.80  | REDUCE: (3), (5) imply:
% 186.46/30.80  |   (6)  $false
% 186.46/30.80  | 
% 186.46/30.80  | CLOSE: (6) is inconsistent.
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1536 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.80    (2)  op(e1, e3) = e3
% 186.46/30.80    (3)  op(e1, e3) = e0
% 186.46/30.80    (4)   ~ (e3 = e0)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | GROUND_INST: instantiating (1) with e0, e3, e3, e1, simplifying with (2), (3)
% 186.46/30.80  |              gives:
% 186.46/30.80  |   (5)  e3 = e0
% 186.46/30.80  | 
% 186.46/30.80  | REDUCE: (4), (5) imply:
% 186.46/30.80  |   (6)  $false
% 186.46/30.80  | 
% 186.46/30.80  | CLOSE: (6) is inconsistent.
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1537 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)   ~ (e1 = e0)
% 186.46/30.80    (2)  op(e2, e3) = e1
% 186.46/30.80    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.80    (4)  op(e3, e2) = e0
% 186.46/30.80    (5)  all_57_1 = all_57_28 & all_57_16 = e3 & all_57_19 = e3 &  ~ (all_57_0 =
% 186.46/30.80           e3) &  ~ (all_57_2 = e1) &  ~ (all_57_3 = e0) &  ~ (all_57_28 = e2) &
% 186.46/30.80         op(e3, all_57_17) = all_57_2 & op(e3, all_57_18) = all_57_3 & op(e3,
% 186.46/30.80           all_57_28) = all_57_0 & op(e3, e3) = all_57_28 & op(e3, e2) = e3 &
% 186.46/30.80         op(e3, e1) = all_57_17 & op(e3, e0) = all_57_18 & op(e2, e3) = e3 &
% 186.46/30.80         $i(all_57_0) & $i(all_57_2) & $i(all_57_3) & $i(all_57_17) &
% 186.46/30.80         $i(all_57_18) & $i(all_57_28)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | ALPHA: (5) implies:
% 186.46/30.80  |   (6)  op(e2, e3) = e3
% 186.46/30.80  |   (7)  op(e3, e2) = e3
% 186.46/30.80  | 
% 186.46/30.80  | GROUND_INST: instantiating (3) with e1, e3, e3, e2, simplifying with (2), (6)
% 186.46/30.80  |              gives:
% 186.46/30.80  |   (8)  e3 = e1
% 186.46/30.80  | 
% 186.46/30.80  | GROUND_INST: instantiating (3) with e0, e3, e2, e3, simplifying with (4), (7)
% 186.46/30.80  |              gives:
% 186.46/30.80  |   (9)  e3 = e0
% 186.46/30.80  | 
% 186.46/30.80  | COMBINE_EQS: (8), (9) imply:
% 186.46/30.80  |   (10)  e1 = e0
% 186.46/30.80  | 
% 186.46/30.80  | SIMP: (10) implies:
% 186.46/30.80  |   (11)  e1 = e0
% 186.46/30.80  | 
% 186.46/30.80  | REDUCE: (1), (11) imply:
% 186.46/30.80  |   (12)  $false
% 186.46/30.80  | 
% 186.46/30.80  | CLOSE: (12) is inconsistent.
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1538 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)   ~ (all_57_28 = e3)
% 186.46/30.80    (2)  op(e3, e3) = all_57_28
% 186.46/30.80    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.80    (4)   ~ (e3 = e2)
% 186.46/30.80    (5)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 186.46/30.80    (6)  op(e2, e2) = e2
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | BETA: splitting (5) gives:
% 186.46/30.80  | 
% 186.46/30.80  | Case 1:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (7)  all_57_28 = e3 & op(e3, e3) = e3
% 186.46/30.80  | | 
% 186.46/30.80  | | ALPHA: (7) implies:
% 186.46/30.80  | |   (8)  op(e3, e3) = e3
% 186.46/30.80  | | 
% 186.46/30.80  | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #1539.
% 186.46/30.80  | | 
% 186.46/30.80  | Case 2:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (9)  all_57_29 = e3 & op(e2, e2) = e3
% 186.46/30.80  | | 
% 186.46/30.80  | | ALPHA: (9) implies:
% 186.46/30.80  | |   (10)  op(e2, e2) = e3
% 186.46/30.80  | | 
% 186.46/30.80  | | REF_CLOSE: (3), (4), (6), (10) are inconsistent by sub-proof #1602.
% 186.46/30.80  | | 
% 186.46/30.80  | End of split
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1539 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.80    (2)  op(e3, e3) = all_57_28
% 186.46/30.80    (3)  op(e3, e3) = e3
% 186.46/30.80    (4)   ~ (all_57_28 = e3)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | GROUND_INST: instantiating (1) with e3, all_57_28, e3, e3, simplifying with
% 186.46/30.80  |              (2), (3) gives:
% 186.46/30.80  |   (5)  all_57_28 = e3
% 186.46/30.80  | 
% 186.46/30.80  | REDUCE: (4), (5) imply:
% 186.46/30.80  |   (6)  $false
% 186.46/30.80  | 
% 186.46/30.80  | CLOSE: (6) is inconsistent.
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1540 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.80    (2)  op(e0, e0) = e3
% 186.46/30.80    (3)  op(e0, e0) = e0
% 186.46/30.80    (4)   ~ (e3 = e0)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | GROUND_INST: instantiating (1) with e0, e3, e0, e0, simplifying with (2), (3)
% 186.46/30.80  |              gives:
% 186.46/30.80  |   (5)  e3 = e0
% 186.46/30.80  | 
% 186.46/30.80  | REDUCE: (4), (5) imply:
% 186.46/30.80  |   (6)  $false
% 186.46/30.80  | 
% 186.46/30.80  | CLOSE: (6) is inconsistent.
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1541 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.80    (2)  op(e1, e1) = e3
% 186.46/30.80    (3)  op(e1, e1) = e1
% 186.46/30.80    (4)   ~ (e3 = e1)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | GROUND_INST: instantiating (1) with e3, e1, e1, e1, simplifying with (2), (3)
% 186.46/30.80  |              gives:
% 186.46/30.80  |   (5)  e3 = e1
% 186.46/30.80  | 
% 186.46/30.80  | REDUCE: (4), (5) imply:
% 186.46/30.80  |   (6)  $false
% 186.46/30.80  | 
% 186.46/30.80  | CLOSE: (6) is inconsistent.
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1542 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)  op(e3, e3) = e2
% 186.46/30.80    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.80           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.80    (3)   ~ (e3 = e2)
% 186.46/30.80    (4)  (all_57_28 = e3 & op(e3, e3) = e3) | (all_57_29 = e3 & op(e2, e2) = e3)
% 186.46/30.80    (5)  op(e2, e2) = e2
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | BETA: splitting (4) gives:
% 186.46/30.80  | 
% 186.46/30.80  | Case 1:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (6)  all_57_28 = e3 & op(e3, e3) = e3
% 186.46/30.80  | | 
% 186.46/30.80  | | ALPHA: (6) implies:
% 186.46/30.80  | |   (7)  op(e3, e3) = e3
% 186.46/30.80  | | 
% 186.46/30.80  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #1594.
% 186.46/30.80  | | 
% 186.46/30.80  | Case 2:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (8)  all_57_29 = e3 & op(e2, e2) = e3
% 186.46/30.80  | | 
% 186.46/30.80  | | ALPHA: (8) implies:
% 186.46/30.80  | |   (9)  op(e2, e2) = e3
% 186.46/30.80  | | 
% 186.46/30.80  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #1602.
% 186.46/30.80  | | 
% 186.46/30.80  | End of split
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1543 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)  (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) = e2)
% 186.46/30.80    (2)   ~ (all_4_2 = e0)
% 186.46/30.80    (3)   ~ (e1 = e0)
% 186.46/30.80    (4)   ~ (e3 = e0)
% 186.46/30.80    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.46/30.80         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.46/30.80    (6)   ~ (e2 = e0)
% 186.46/30.80    (7)   ~ (e3 = e1)
% 186.46/30.80    (8)  op(e3, e3) = e2
% 186.46/30.80    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 186.46/30.80         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.46/30.80    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.80            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.80    (11)   ~ (e3 = e2)
% 186.46/30.80    (12)  op(e3, e3) = all_4_2
% 186.46/30.80    (13)   ~ (all_52_7 = e2)
% 186.46/30.80    (14)   ~ (e2 = e1)
% 186.46/30.80    (15)  op(e0, e2) = all_52_7
% 186.46/30.80    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.46/30.80          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | BETA: splitting (1) gives:
% 186.46/30.80  | 
% 186.46/30.80  | Case 1:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (17)  all_56_12 = e2 & op(e0, e3) = e2
% 186.46/30.80  | | 
% 186.46/30.80  | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (14),
% 186.46/30.80  | |            (16), (17) are inconsistent by sub-proof #1544.
% 186.46/30.80  | | 
% 186.46/30.80  | Case 2:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (18)  all_56_13 = e2 & op(e0, e2) = e2
% 186.46/30.80  | | 
% 186.46/30.80  | | ALPHA: (18) implies:
% 186.46/30.80  | |   (19)  op(e0, e2) = e2
% 186.46/30.80  | | 
% 186.46/30.80  | | REF_CLOSE: (10), (13), (15), (19) are inconsistent by sub-proof #1613.
% 186.46/30.80  | | 
% 186.46/30.80  | End of split
% 186.46/30.80  | 
% 186.46/30.80  End of proof
% 186.46/30.80  
% 186.46/30.80  Sub-proof #1544 shows that the following formulas are inconsistent:
% 186.46/30.80  ----------------------------------------------------------------
% 186.46/30.80    (1)   ~ (all_4_2 = e0)
% 186.46/30.80    (2)   ~ (e1 = e0)
% 186.46/30.80    (3)   ~ (e3 = e0)
% 186.46/30.80    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.46/30.80         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.46/30.80    (5)   ~ (e2 = e0)
% 186.46/30.80    (6)   ~ (e3 = e1)
% 186.46/30.80    (7)  op(e3, e3) = e2
% 186.46/30.80    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 186.46/30.80         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.46/30.80    (9)  all_56_12 = e2 & op(e0, e3) = e2
% 186.46/30.80    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.80            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.80    (11)   ~ (e3 = e2)
% 186.46/30.80    (12)  op(e3, e3) = all_4_2
% 186.46/30.80    (13)   ~ (e2 = e1)
% 186.46/30.80    (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.46/30.80          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.46/30.80  
% 186.46/30.80  Begin of proof
% 186.46/30.80  | 
% 186.46/30.80  | ALPHA: (9) implies:
% 186.46/30.80  |   (15)  all_56_12 = e2
% 186.46/30.80  | 
% 186.46/30.80  | BETA: splitting (4) gives:
% 186.46/30.80  | 
% 186.46/30.80  | Case 1:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (16)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 186.46/30.80  | |           e1)
% 186.46/30.80  | | 
% 186.46/30.80  | | BETA: splitting (16) gives:
% 186.46/30.80  | | 
% 186.46/30.80  | | Case 1:
% 186.46/30.80  | | | 
% 186.46/30.80  | | |   (17)  all_56_0 = e1 & op(e3, e3) = e1
% 186.46/30.80  | | | 
% 186.46/30.80  | | | ALPHA: (17) implies:
% 186.46/30.80  | | |   (18)  op(e3, e3) = e1
% 186.46/30.80  | | | 
% 186.46/30.80  | | | REF_CLOSE: (7), (10), (13), (18) are inconsistent by sub-proof #1582.
% 186.46/30.80  | | | 
% 186.46/30.80  | | Case 2:
% 186.46/30.80  | | | 
% 186.46/30.80  | | |   (19)  all_56_2 = e1 & op(e2, e3) = e1
% 186.46/30.80  | | | 
% 186.46/30.80  | | | ALPHA: (19) implies:
% 186.46/30.80  | | |   (20)  all_56_2 = e1
% 186.46/30.80  | | | 
% 186.46/30.80  | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (10), (11), (12), (14),
% 186.46/30.80  | | |            (15), (20) are inconsistent by sub-proof #1552.
% 186.46/30.80  | | | 
% 186.46/30.80  | | End of split
% 186.46/30.80  | | 
% 186.46/30.80  | Case 2:
% 186.46/30.80  | | 
% 186.46/30.80  | |   (21)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 186.46/30.80  | |           e1)
% 186.46/30.80  | | 
% 186.46/30.80  | | BETA: splitting (21) gives:
% 186.46/30.80  | | 
% 186.46/30.80  | | Case 1:
% 186.46/30.80  | | | 
% 186.46/30.81  | | |   (22)  all_56_6 = e1 & op(e1, e3) = e1
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (22) implies:
% 186.46/30.81  | | |   (23)  all_56_6 = e1
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 186.46/30.81  | | |            (14), (15), (23) are inconsistent by sub-proof #1545.
% 186.46/30.81  | | | 
% 186.46/30.81  | | Case 2:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (24)  all_56_12 = e1 & op(e0, e3) = e1
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (13), (15), (24) are inconsistent by sub-proof #1550.
% 186.46/30.81  | | | 
% 186.46/30.81  | | End of split
% 186.46/30.81  | | 
% 186.46/30.81  | End of split
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1545 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)   ~ (all_4_2 = e0)
% 186.46/30.81    (2)   ~ (e1 = e0)
% 186.46/30.81    (3)   ~ (e3 = e0)
% 186.46/30.81    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.46/30.81         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.46/30.81    (5)   ~ (e2 = e0)
% 186.46/30.81    (6)   ~ (e3 = e1)
% 186.46/30.81    (7)  op(e3, e3) = e2
% 186.46/30.81    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 186.46/30.81         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.46/30.81    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.81    (10)  all_56_12 = e2
% 186.46/30.81    (11)   ~ (e3 = e2)
% 186.46/30.81    (12)  op(e3, e3) = all_4_2
% 186.46/30.81    (13)   ~ (e2 = e1)
% 186.46/30.81    (14)  all_56_6 = e1
% 186.46/30.81    (15)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.46/30.81          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | BETA: splitting (8) gives:
% 186.46/30.81  | 
% 186.46/30.81  | Case 1:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (16)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 186.46/30.81  | |           e3)
% 186.46/30.81  | | 
% 186.46/30.81  | | BETA: splitting (16) gives:
% 186.46/30.81  | | 
% 186.46/30.81  | | Case 1:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (17)  all_56_0 = e3 & op(e3, e3) = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (17) implies:
% 186.46/30.81  | | |   (18)  op(e3, e3) = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (7), (9), (11), (18) are inconsistent by sub-proof #1594.
% 186.46/30.81  | | | 
% 186.46/30.81  | | Case 2:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (19)  all_56_2 = e3 & op(e2, e3) = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (19) implies:
% 186.46/30.81  | | |   (20)  op(e2, e3) = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 186.46/30.81  | | |            (13), (15), (20) are inconsistent by sub-proof #1547.
% 186.46/30.81  | | | 
% 186.46/30.81  | | End of split
% 186.46/30.81  | | 
% 186.46/30.81  | Case 2:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (21)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 186.46/30.81  | |           e3)
% 186.46/30.81  | | 
% 186.46/30.81  | | BETA: splitting (21) gives:
% 186.46/30.81  | | 
% 186.46/30.81  | | Case 1:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (22)  all_56_6 = e3 & op(e1, e3) = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (22) implies:
% 186.46/30.81  | | |   (23)  all_56_6 = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (6), (14), (23) are inconsistent by sub-proof #1546.
% 186.46/30.81  | | | 
% 186.46/30.81  | | Case 2:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (24)  all_56_12 = e3 & op(e0, e3) = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (24) implies:
% 186.46/30.81  | | |   (25)  all_56_12 = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (10), (11), (25) are inconsistent by sub-proof #1555.
% 186.46/30.81  | | | 
% 186.46/30.81  | | End of split
% 186.46/30.81  | | 
% 186.46/30.81  | End of split
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1546 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)  all_56_6 = e3
% 186.46/30.81    (2)  all_56_6 = e1
% 186.46/30.81    (3)   ~ (e3 = e1)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | COMBINE_EQS: (1), (2) imply:
% 186.46/30.81  |   (4)  e3 = e1
% 186.46/30.81  | 
% 186.46/30.81  | SIMP: (4) implies:
% 186.46/30.81  |   (5)  e3 = e1
% 186.46/30.81  | 
% 186.46/30.81  | REDUCE: (3), (5) imply:
% 186.46/30.81  |   (6)  $false
% 186.46/30.81  | 
% 186.46/30.81  | CLOSE: (6) is inconsistent.
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1547 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)   ~ (all_4_2 = e0)
% 186.46/30.81    (2)  op(e2, e3) = e3
% 186.46/30.81    (3)   ~ (e1 = e0)
% 186.46/30.81    (4)   ~ (e3 = e0)
% 186.46/30.81    (5)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.46/30.81         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.46/30.81    (6)   ~ (e2 = e0)
% 186.46/30.81    (7)   ~ (e3 = e1)
% 186.46/30.81    (8)  op(e3, e3) = e2
% 186.46/30.81    (9)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 186.46/30.81         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.46/30.81    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.81            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.81    (11)  all_56_12 = e2
% 186.46/30.81    (12)   ~ (e3 = e2)
% 186.46/30.81    (13)  op(e3, e3) = all_4_2
% 186.46/30.81    (14)   ~ (e2 = e1)
% 186.46/30.81    (15)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.46/30.81          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | BETA: splitting (15) gives:
% 186.46/30.81  | 
% 186.46/30.81  | Case 1:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 186.46/30.81  | |           e0)
% 186.46/30.81  | | 
% 186.46/30.81  | | REF_CLOSE: (1), (2), (4), (10), (13), (16) are inconsistent by sub-proof
% 186.46/30.81  | |            #1595.
% 186.46/30.81  | | 
% 186.46/30.81  | Case 2:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (17)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 186.46/30.81  | |           e0)
% 186.46/30.81  | | 
% 186.46/30.81  | | BETA: splitting (17) gives:
% 186.46/30.81  | | 
% 186.46/30.81  | | Case 1:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (18)  all_56_6 = e0 & op(e1, e3) = e0
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (18) implies:
% 186.46/30.81  | | |   (19)  all_56_6 = e0
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (3), (4), (5), (7), (8), (9), (10), (11), (12), (14), (19) are
% 186.46/30.81  | | |            inconsistent by sub-proof #1549.
% 186.46/30.81  | | | 
% 186.46/30.81  | | Case 2:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (20)  all_56_12 = e0 & op(e0, e3) = e0
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (20) implies:
% 186.46/30.81  | | |   (21)  all_56_12 = e0
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (6), (11), (21) are inconsistent by sub-proof #1548.
% 186.46/30.81  | | | 
% 186.46/30.81  | | End of split
% 186.46/30.81  | | 
% 186.46/30.81  | End of split
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1548 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)  all_56_12 = e2
% 186.46/30.81    (2)  all_56_12 = e0
% 186.46/30.81    (3)   ~ (e2 = e0)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | COMBINE_EQS: (1), (2) imply:
% 186.46/30.81  |   (4)  e2 = e0
% 186.46/30.81  | 
% 186.46/30.81  | SIMP: (4) implies:
% 186.46/30.81  |   (5)  e2 = e0
% 186.46/30.81  | 
% 186.46/30.81  | REDUCE: (3), (5) imply:
% 186.46/30.81  |   (6)  $false
% 186.46/30.81  | 
% 186.46/30.81  | CLOSE: (6) is inconsistent.
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1549 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)  all_56_6 = e0
% 186.46/30.81    (2)   ~ (e1 = e0)
% 186.46/30.81    (3)   ~ (e3 = e0)
% 186.46/30.81    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.46/30.81         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.46/30.81    (5)   ~ (e3 = e1)
% 186.46/30.81    (6)  op(e3, e3) = e2
% 186.46/30.81    (7)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 186.46/30.81         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.46/30.81    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.81    (9)  all_56_12 = e2
% 186.46/30.81    (10)   ~ (e3 = e2)
% 186.46/30.81    (11)   ~ (e2 = e1)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | BETA: splitting (4) gives:
% 186.46/30.81  | 
% 186.46/30.81  | Case 1:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (12)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 186.46/30.81  | |           e1)
% 186.46/30.81  | | 
% 186.46/30.81  | | BETA: splitting (12) gives:
% 186.46/30.81  | | 
% 186.46/30.81  | | Case 1:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (13)  all_56_0 = e1 & op(e3, e3) = e1
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (13) implies:
% 186.46/30.81  | | |   (14)  op(e3, e3) = e1
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (6), (8), (11), (14) are inconsistent by sub-proof #1582.
% 186.46/30.81  | | | 
% 186.46/30.81  | | Case 2:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (15)  all_56_2 = e1 & op(e2, e3) = e1
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (15) implies:
% 186.46/30.81  | | |   (16)  all_56_2 = e1
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (10), (16) are inconsistent
% 186.46/30.81  | | |            by sub-proof #1554.
% 186.46/30.81  | | | 
% 186.46/30.81  | | End of split
% 186.46/30.81  | | 
% 186.46/30.81  | Case 2:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (17)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 186.46/30.81  | |           e1)
% 186.46/30.81  | | 
% 186.46/30.81  | | BETA: splitting (17) gives:
% 186.46/30.81  | | 
% 186.46/30.81  | | Case 1:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (18)  all_56_6 = e1 & op(e1, e3) = e1
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (18) implies:
% 186.46/30.81  | | |   (19)  all_56_6 = e1
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (1), (2), (19) are inconsistent by sub-proof #1551.
% 186.46/30.81  | | | 
% 186.46/30.81  | | Case 2:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (20)  all_56_12 = e1 & op(e0, e3) = e1
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (9), (11), (20) are inconsistent by sub-proof #1550.
% 186.46/30.81  | | | 
% 186.46/30.81  | | End of split
% 186.46/30.81  | | 
% 186.46/30.81  | End of split
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1550 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)  all_56_12 = e1 & op(e0, e3) = e1
% 186.46/30.81    (2)  all_56_12 = e2
% 186.46/30.81    (3)   ~ (e2 = e1)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | ALPHA: (1) implies:
% 186.46/30.81  |   (4)  all_56_12 = e1
% 186.46/30.81  | 
% 186.46/30.81  | COMBINE_EQS: (2), (4) imply:
% 186.46/30.81  |   (5)  e2 = e1
% 186.46/30.81  | 
% 186.46/30.81  | REDUCE: (3), (5) imply:
% 186.46/30.81  |   (6)  $false
% 186.46/30.81  | 
% 186.46/30.81  | CLOSE: (6) is inconsistent.
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1551 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)  all_56_6 = e1
% 186.46/30.81    (2)  all_56_6 = e0
% 186.46/30.81    (3)   ~ (e1 = e0)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | COMBINE_EQS: (1), (2) imply:
% 186.46/30.81  |   (4)  e1 = e0
% 186.46/30.81  | 
% 186.46/30.81  | SIMP: (4) implies:
% 186.46/30.81  |   (5)  e1 = e0
% 186.46/30.81  | 
% 186.46/30.81  | REDUCE: (3), (5) imply:
% 186.46/30.81  |   (6)  $false
% 186.46/30.81  | 
% 186.46/30.81  | CLOSE: (6) is inconsistent.
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1552 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)   ~ (all_4_2 = e0)
% 186.46/30.81    (2)  all_56_2 = e1
% 186.46/30.81    (3)   ~ (e1 = e0)
% 186.46/30.81    (4)   ~ (e3 = e0)
% 186.46/30.81    (5)   ~ (e2 = e0)
% 186.46/30.81    (6)   ~ (e3 = e1)
% 186.46/30.81    (7)  op(e3, e3) = e2
% 186.46/30.81    (8)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 186.46/30.81         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.46/30.81    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.81    (10)  all_56_12 = e2
% 186.46/30.81    (11)   ~ (e3 = e2)
% 186.46/30.81    (12)  op(e3, e3) = all_4_2
% 186.46/30.81    (13)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.46/30.81          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | BETA: splitting (13) gives:
% 186.46/30.81  | 
% 186.46/30.81  | Case 1:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (14)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 186.46/30.81  | |           e0)
% 186.46/30.81  | | 
% 186.46/30.81  | | REF_CLOSE: (1), (2), (3), (9), (12), (14) are inconsistent by sub-proof
% 186.46/30.81  | |            #1559.
% 186.46/30.81  | | 
% 186.46/30.81  | Case 2:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (15)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 186.46/30.81  | |           e0)
% 186.46/30.81  | | 
% 186.46/30.81  | | BETA: splitting (15) gives:
% 186.46/30.81  | | 
% 186.46/30.81  | | Case 1:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (16)  all_56_6 = e0 & op(e1, e3) = e0
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (16) implies:
% 186.46/30.81  | | |   (17)  all_56_6 = e0
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (2), (4), (6), (7), (8), (9), (10), (11), (17) are inconsistent
% 186.46/30.81  | | |            by sub-proof #1554.
% 186.46/30.81  | | | 
% 186.46/30.81  | | Case 2:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (18)  all_56_12 = e0 & op(e0, e3) = e0
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (5), (10), (18) are inconsistent by sub-proof #1553.
% 186.46/30.81  | | | 
% 186.46/30.81  | | End of split
% 186.46/30.81  | | 
% 186.46/30.81  | End of split
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1553 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)  all_56_12 = e0 & op(e0, e3) = e0
% 186.46/30.81    (2)  all_56_12 = e2
% 186.46/30.81    (3)   ~ (e2 = e0)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | ALPHA: (1) implies:
% 186.46/30.81  |   (4)  all_56_12 = e0
% 186.46/30.81  | 
% 186.46/30.81  | COMBINE_EQS: (2), (4) imply:
% 186.46/30.81  |   (5)  e2 = e0
% 186.46/30.81  | 
% 186.46/30.81  | REDUCE: (3), (5) imply:
% 186.46/30.81  |   (6)  $false
% 186.46/30.81  | 
% 186.46/30.81  | CLOSE: (6) is inconsistent.
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1554 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)  all_56_6 = e0
% 186.46/30.81    (2)  all_56_2 = e1
% 186.46/30.81    (3)   ~ (e3 = e0)
% 186.46/30.81    (4)   ~ (e3 = e1)
% 186.46/30.81    (5)  op(e3, e3) = e2
% 186.46/30.81    (6)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3) |
% 186.46/30.81         (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) = e3)
% 186.46/30.81    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.81    (8)  all_56_12 = e2
% 186.46/30.81    (9)   ~ (e3 = e2)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | BETA: splitting (6) gives:
% 186.46/30.81  | 
% 186.46/30.81  | Case 1:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) =
% 186.46/30.81  | |           e3)
% 186.46/30.81  | | 
% 186.46/30.81  | | REF_CLOSE: (2), (4), (5), (7), (9), (10) are inconsistent by sub-proof
% 186.46/30.81  | |            #1557.
% 186.46/30.81  | | 
% 186.46/30.81  | Case 2:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (11)  (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 186.46/30.81  | |           e3)
% 186.46/30.81  | | 
% 186.46/30.81  | | BETA: splitting (11) gives:
% 186.46/30.81  | | 
% 186.46/30.81  | | Case 1:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (12)  all_56_6 = e3 & op(e1, e3) = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (12) implies:
% 186.46/30.81  | | |   (13)  all_56_6 = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (1), (3), (13) are inconsistent by sub-proof #1556.
% 186.46/30.81  | | | 
% 186.46/30.81  | | Case 2:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (14)  all_56_12 = e3 & op(e0, e3) = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (14) implies:
% 186.46/30.81  | | |   (15)  all_56_12 = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (8), (9), (15) are inconsistent by sub-proof #1555.
% 186.46/30.81  | | | 
% 186.46/30.81  | | End of split
% 186.46/30.81  | | 
% 186.46/30.81  | End of split
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1555 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)  all_56_12 = e3
% 186.46/30.81    (2)  all_56_12 = e2
% 186.46/30.81    (3)   ~ (e3 = e2)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | COMBINE_EQS: (1), (2) imply:
% 186.46/30.81  |   (4)  e3 = e2
% 186.46/30.81  | 
% 186.46/30.81  | SIMP: (4) implies:
% 186.46/30.81  |   (5)  e3 = e2
% 186.46/30.81  | 
% 186.46/30.81  | REDUCE: (3), (5) imply:
% 186.46/30.81  |   (6)  $false
% 186.46/30.81  | 
% 186.46/30.81  | CLOSE: (6) is inconsistent.
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1556 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)  all_56_6 = e3
% 186.46/30.81    (2)  all_56_6 = e0
% 186.46/30.81    (3)   ~ (e3 = e0)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | COMBINE_EQS: (1), (2) imply:
% 186.46/30.81  |   (4)  e3 = e0
% 186.46/30.81  | 
% 186.46/30.81  | SIMP: (4) implies:
% 186.46/30.81  |   (5)  e3 = e0
% 186.46/30.81  | 
% 186.46/30.81  | REDUCE: (3), (5) imply:
% 186.46/30.81  |   (6)  $false
% 186.46/30.81  | 
% 186.46/30.81  | CLOSE: (6) is inconsistent.
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1557 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)  all_56_2 = e1
% 186.46/30.81    (2)   ~ (e3 = e1)
% 186.46/30.81    (3)  op(e3, e3) = e2
% 186.46/30.81    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.81    (5)   ~ (e3 = e2)
% 186.46/30.81    (6)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | BETA: splitting (6) gives:
% 186.46/30.81  | 
% 186.46/30.81  | Case 1:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (7)  all_56_0 = e3 & op(e3, e3) = e3
% 186.46/30.81  | | 
% 186.46/30.81  | | ALPHA: (7) implies:
% 186.46/30.81  | |   (8)  op(e3, e3) = e3
% 186.46/30.81  | | 
% 186.46/30.81  | | REF_CLOSE: (3), (4), (5), (8) are inconsistent by sub-proof #1594.
% 186.46/30.81  | | 
% 186.46/30.81  | Case 2:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (9)  all_56_2 = e3 & op(e2, e3) = e3
% 186.46/30.81  | | 
% 186.46/30.81  | | ALPHA: (9) implies:
% 186.46/30.81  | |   (10)  all_56_2 = e3
% 186.46/30.81  | | 
% 186.46/30.81  | | REF_CLOSE: (1), (2), (10) are inconsistent by sub-proof #1558.
% 186.46/30.81  | | 
% 186.46/30.81  | End of split
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1558 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)  all_56_2 = e3
% 186.46/30.81    (2)  all_56_2 = e1
% 186.46/30.81    (3)   ~ (e3 = e1)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | COMBINE_EQS: (1), (2) imply:
% 186.46/30.81  |   (4)  e3 = e1
% 186.46/30.81  | 
% 186.46/30.81  | SIMP: (4) implies:
% 186.46/30.81  |   (5)  e3 = e1
% 186.46/30.81  | 
% 186.46/30.81  | REDUCE: (3), (5) imply:
% 186.46/30.81  |   (6)  $false
% 186.46/30.81  | 
% 186.46/30.81  | CLOSE: (6) is inconsistent.
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1559 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 186.46/30.81    (2)   ~ (all_4_2 = e0)
% 186.46/30.81    (3)  all_56_2 = e1
% 186.46/30.81    (4)   ~ (e1 = e0)
% 186.46/30.81    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.81    (6)  op(e3, e3) = all_4_2
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | BETA: splitting (1) gives:
% 186.46/30.81  | 
% 186.46/30.81  | Case 1:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 186.46/30.81  | | 
% 186.46/30.81  | | ALPHA: (7) implies:
% 186.46/30.81  | |   (8)  op(e3, e3) = e0
% 186.46/30.81  | | 
% 186.46/30.81  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1624.
% 186.46/30.81  | | 
% 186.46/30.81  | Case 2:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (9)  all_56_2 = e0 & op(e2, e3) = e0
% 186.46/30.81  | | 
% 186.46/30.81  | | REF_CLOSE: (3), (4), (9) are inconsistent by sub-proof #1560.
% 186.46/30.81  | | 
% 186.46/30.81  | End of split
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1560 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)  all_56_2 = e0 & op(e2, e3) = e0
% 186.46/30.81    (2)  all_56_2 = e1
% 186.46/30.81    (3)   ~ (e1 = e0)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | ALPHA: (1) implies:
% 186.46/30.81  |   (4)  all_56_2 = e0
% 186.46/30.81  | 
% 186.46/30.81  | COMBINE_EQS: (2), (4) imply:
% 186.46/30.81  |   (5)  e1 = e0
% 186.46/30.81  | 
% 186.46/30.81  | REDUCE: (3), (5) imply:
% 186.46/30.81  |   (6)  $false
% 186.46/30.81  | 
% 186.46/30.81  | CLOSE: (6) is inconsistent.
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1561 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)   ~ (all_4_2 = e0)
% 186.46/30.81    (2)   ~ (e1 = e0)
% 186.46/30.81    (3)   ~ (e3 = e0)
% 186.46/30.81    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.46/30.81         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.46/30.81    (5)   ~ (e2 = e0)
% 186.46/30.81    (6)   ~ (e3 = e1)
% 186.46/30.81    (7)  op(e3, e3) = e2
% 186.46/30.81    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.81    (9)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 186.46/30.81         (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 186.46/30.81    (10)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.46/30.81          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.46/30.81    (11)  (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) = e2)
% 186.46/30.81    (12)  op(e2, e0) = all_52_13
% 186.46/30.81    (13)   ~ (e3 = e2)
% 186.46/30.81    (14)  op(e3, e1) = all_52_8
% 186.46/30.81    (15)  op(e3, e3) = all_4_2
% 186.46/30.81    (16)   ~ (all_52_13 = e2)
% 186.46/30.81    (17)   ~ (e2 = e1)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | BETA: splitting (11) gives:
% 186.46/30.81  | 
% 186.46/30.81  | Case 1:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (18)  all_56_9 = e2 & op(e3, e0) = e2
% 186.46/30.81  | | 
% 186.46/30.81  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (13), (14),
% 186.46/30.81  | |            (15), (17), (18) are inconsistent by sub-proof #1563.
% 186.46/30.81  | | 
% 186.46/30.81  | Case 2:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (19)  all_56_10 = e2 & op(e2, e0) = e2
% 186.46/30.81  | | 
% 186.46/30.81  | | ALPHA: (19) implies:
% 186.46/30.81  | |   (20)  op(e2, e0) = e2
% 186.46/30.81  | | 
% 186.46/30.81  | | REF_CLOSE: (8), (12), (16), (20) are inconsistent by sub-proof #1562.
% 186.46/30.81  | | 
% 186.46/30.81  | End of split
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1562 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.81    (2)  op(e2, e0) = all_52_13
% 186.46/30.81    (3)  op(e2, e0) = e2
% 186.46/30.81    (4)   ~ (all_52_13 = e2)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | GROUND_INST: instantiating (1) with all_52_13, e2, e0, e2, simplifying with
% 186.46/30.81  |              (2), (3) gives:
% 186.46/30.81  |   (5)  all_52_13 = e2
% 186.46/30.81  | 
% 186.46/30.81  | REDUCE: (4), (5) imply:
% 186.46/30.81  |   (6)  $false
% 186.46/30.81  | 
% 186.46/30.81  | CLOSE: (6) is inconsistent.
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1563 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)   ~ (all_4_2 = e0)
% 186.46/30.81    (2)   ~ (e1 = e0)
% 186.46/30.81    (3)   ~ (e3 = e0)
% 186.46/30.81    (4)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.46/30.81         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.46/30.81    (5)   ~ (e2 = e0)
% 186.46/30.81    (6)   ~ (e3 = e1)
% 186.46/30.81    (7)  all_56_9 = e2 & op(e3, e0) = e2
% 186.46/30.81    (8)  op(e3, e3) = e2
% 186.46/30.81    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.81    (10)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1) |
% 186.46/30.81          (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 186.46/30.81    (11)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.46/30.81          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.46/30.81    (12)   ~ (e3 = e2)
% 186.46/30.81    (13)  op(e3, e1) = all_52_8
% 186.46/30.81    (14)  op(e3, e3) = all_4_2
% 186.46/30.81    (15)   ~ (e2 = e1)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | ALPHA: (7) implies:
% 186.46/30.81  |   (16)  all_56_9 = e2
% 186.46/30.81  | 
% 186.46/30.81  | BETA: splitting (10) gives:
% 186.46/30.81  | 
% 186.46/30.81  | Case 1:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (17)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) =
% 186.46/30.81  | |           e1)
% 186.46/30.81  | | 
% 186.46/30.81  | | BETA: splitting (17) gives:
% 186.46/30.81  | | 
% 186.46/30.81  | | Case 1:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (18)  all_56_0 = e1 & op(e3, e3) = e1
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (18) implies:
% 186.46/30.81  | | |   (19)  op(e3, e3) = e1
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (8), (9), (15), (19) are inconsistent by sub-proof #1582.
% 186.46/30.81  | | | 
% 186.46/30.81  | | Case 2:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (20)  all_56_1 = e1 & op(e3, e2) = e1
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (20) implies:
% 186.46/30.81  | | |   (21)  all_56_1 = e1
% 186.46/30.81  | | |   (22)  op(e3, e2) = e1
% 186.46/30.81  | | | 
% 186.46/30.81  | | | BETA: splitting (4) gives:
% 186.46/30.81  | | | 
% 186.46/30.81  | | | Case 1:
% 186.46/30.81  | | | | 
% 186.46/30.81  | | | |   (23)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2)
% 186.46/30.81  | | | |           = e0)
% 186.46/30.81  | | | | 
% 186.46/30.81  | | | | REF_CLOSE: (1), (2), (9), (14), (21), (23) are inconsistent by sub-proof
% 186.46/30.81  | | | |            #1580.
% 186.46/30.81  | | | | 
% 186.46/30.81  | | | Case 2:
% 186.46/30.81  | | | | 
% 186.46/30.81  | | | |   (24)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0)
% 186.46/30.81  | | | |           = e0)
% 186.46/30.81  | | | | 
% 186.46/30.81  | | | | BETA: splitting (24) gives:
% 186.46/30.81  | | | | 
% 186.46/30.81  | | | | Case 1:
% 186.46/30.81  | | | | | 
% 186.46/30.81  | | | | |   (25)  all_56_4 = e0 & op(e3, e1) = e0
% 186.46/30.81  | | | | | 
% 186.46/30.81  | | | | | ALPHA: (25) implies:
% 186.46/30.81  | | | | |   (26)  op(e3, e1) = e0
% 186.46/30.81  | | | | | 
% 186.46/30.81  | | | | | BETA: splitting (11) gives:
% 186.46/30.81  | | | | | 
% 186.46/30.81  | | | | | Case 1:
% 186.46/30.81  | | | | | | 
% 186.46/30.81  | | | | | |   (27)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3,
% 186.46/30.81  | | | | | |             e2) = e3)
% 186.46/30.81  | | | | | | 
% 186.46/30.81  | | | | | | REF_CLOSE: (6), (8), (9), (12), (22), (27) are inconsistent by
% 186.46/30.81  | | | | | |            sub-proof #1578.
% 186.46/30.81  | | | | | | 
% 186.46/30.81  | | | | | Case 2:
% 186.46/30.81  | | | | | | 
% 186.46/30.81  | | | | | |   (28)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3,
% 186.46/30.81  | | | | | |             e0) = e3)
% 186.46/30.81  | | | | | | 
% 186.46/30.81  | | | | | | REF_CLOSE: (3), (9), (12), (13), (16), (26), (28) are inconsistent
% 186.46/30.81  | | | | | |            by sub-proof #1575.
% 186.46/30.81  | | | | | | 
% 186.46/30.81  | | | | | End of split
% 186.46/30.81  | | | | | 
% 186.46/30.81  | | | | Case 2:
% 186.46/30.81  | | | | | 
% 186.46/30.81  | | | | |   (29)  all_56_9 = e0 & op(e3, e0) = e0
% 186.46/30.81  | | | | | 
% 186.46/30.81  | | | | | REF_CLOSE: (5), (16), (29) are inconsistent by sub-proof #1574.
% 186.46/30.81  | | | | | 
% 186.46/30.81  | | | | End of split
% 186.46/30.81  | | | | 
% 186.46/30.81  | | | End of split
% 186.46/30.81  | | | 
% 186.46/30.81  | | End of split
% 186.46/30.81  | | 
% 186.46/30.81  | Case 2:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (30)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 186.46/30.81  | |           e1)
% 186.46/30.81  | | 
% 186.46/30.81  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (11), (12), (14), (15),
% 186.46/30.81  | |            (16), (30) are inconsistent by sub-proof #1564.
% 186.46/30.81  | | 
% 186.46/30.81  | End of split
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1564 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)  all_56_9 = e2
% 186.46/30.81    (2)   ~ (all_4_2 = e0)
% 186.46/30.81    (3)   ~ (e1 = e0)
% 186.46/30.81    (4)   ~ (e3 = e0)
% 186.46/30.81    (5)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.46/30.81         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.46/30.81    (6)  (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) = e1)
% 186.46/30.81    (7)   ~ (e2 = e0)
% 186.46/30.81    (8)   ~ (e3 = e1)
% 186.46/30.81    (9)  op(e3, e3) = e2
% 186.46/30.81    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.81            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.81    (11)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.46/30.81          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.46/30.81    (12)   ~ (e3 = e2)
% 186.46/30.81    (13)  op(e3, e3) = all_4_2
% 186.46/30.81    (14)   ~ (e2 = e1)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | BETA: splitting (6) gives:
% 186.46/30.81  | 
% 186.46/30.81  | Case 1:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (15)  all_56_4 = e1 & op(e3, e1) = e1
% 186.46/30.81  | | 
% 186.46/30.81  | | ALPHA: (15) implies:
% 186.46/30.81  | |   (16)  all_56_4 = e1
% 186.46/30.81  | |   (17)  op(e3, e1) = e1
% 186.46/30.81  | | 
% 186.46/30.81  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13),
% 186.46/30.81  | |            (16), (17) are inconsistent by sub-proof #1566.
% 186.46/30.81  | | 
% 186.46/30.81  | Case 2:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (18)  all_56_9 = e1 & op(e3, e0) = e1
% 186.46/30.81  | | 
% 186.46/30.81  | | REF_CLOSE: (1), (14), (18) are inconsistent by sub-proof #1565.
% 186.46/30.81  | | 
% 186.46/30.81  | End of split
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1565 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)  all_56_9 = e1 & op(e3, e0) = e1
% 186.46/30.81    (2)  all_56_9 = e2
% 186.46/30.81    (3)   ~ (e2 = e1)
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | ALPHA: (1) implies:
% 186.46/30.81  |   (4)  all_56_9 = e1
% 186.46/30.81  | 
% 186.46/30.81  | COMBINE_EQS: (2), (4) imply:
% 186.46/30.81  |   (5)  e2 = e1
% 186.46/30.81  | 
% 186.46/30.81  | REDUCE: (3), (5) imply:
% 186.46/30.81  |   (6)  $false
% 186.46/30.81  | 
% 186.46/30.81  | CLOSE: (6) is inconsistent.
% 186.46/30.81  | 
% 186.46/30.81  End of proof
% 186.46/30.81  
% 186.46/30.81  Sub-proof #1566 shows that the following formulas are inconsistent:
% 186.46/30.81  ----------------------------------------------------------------
% 186.46/30.81    (1)  op(e3, e1) = e1
% 186.46/30.81    (2)  all_56_9 = e2
% 186.46/30.81    (3)   ~ (all_4_2 = e0)
% 186.46/30.81    (4)   ~ (e1 = e0)
% 186.46/30.81    (5)   ~ (e3 = e0)
% 186.46/30.81    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.46/30.81         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.46/30.81    (7)   ~ (e2 = e0)
% 186.46/30.81    (8)   ~ (e3 = e1)
% 186.46/30.81    (9)  op(e3, e3) = e2
% 186.46/30.81    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.81            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.81    (11)  all_56_4 = e1
% 186.46/30.81    (12)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3) |
% 186.46/30.81          (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.46/30.81    (13)   ~ (e3 = e2)
% 186.46/30.81    (14)  op(e3, e3) = all_4_2
% 186.46/30.81  
% 186.46/30.81  Begin of proof
% 186.46/30.81  | 
% 186.46/30.81  | BETA: splitting (12) gives:
% 186.46/30.81  | 
% 186.46/30.81  | Case 1:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (15)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 186.46/30.81  | |           e3)
% 186.46/30.81  | | 
% 186.46/30.81  | | BETA: splitting (15) gives:
% 186.46/30.81  | | 
% 186.46/30.81  | | Case 1:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (16)  all_56_0 = e3 & op(e3, e3) = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (16) implies:
% 186.46/30.81  | | |   (17)  op(e3, e3) = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (9), (10), (13), (17) are inconsistent by sub-proof #1594.
% 186.46/30.81  | | | 
% 186.46/30.81  | | Case 2:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (18)  all_56_1 = e3 & op(e3, e2) = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (18) implies:
% 186.46/30.81  | | |   (19)  all_56_1 = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (10), (14), (19) are
% 186.46/30.81  | | |            inconsistent by sub-proof #1568.
% 186.46/30.81  | | | 
% 186.46/30.81  | | End of split
% 186.46/30.81  | | 
% 186.46/30.81  | Case 2:
% 186.46/30.81  | | 
% 186.46/30.81  | |   (20)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 186.46/30.81  | |           e3)
% 186.46/30.81  | | 
% 186.46/30.81  | | BETA: splitting (20) gives:
% 186.46/30.81  | | 
% 186.46/30.81  | | Case 1:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (21)  all_56_4 = e3 & op(e3, e1) = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (21) implies:
% 186.46/30.81  | | |   (22)  all_56_4 = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (8), (11), (22) are inconsistent by sub-proof #1567.
% 186.46/30.81  | | | 
% 186.46/30.81  | | Case 2:
% 186.46/30.81  | | | 
% 186.46/30.81  | | |   (23)  all_56_9 = e3 & op(e3, e0) = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | ALPHA: (23) implies:
% 186.46/30.81  | | |   (24)  all_56_9 = e3
% 186.46/30.81  | | | 
% 186.46/30.81  | | | REF_CLOSE: (2), (13), (24) are inconsistent by sub-proof #1576.
% 186.46/30.81  | | | 
% 186.46/30.81  | | End of split
% 186.46/30.81  | | 
% 186.46/30.81  | End of split
% 186.46/30.81  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1567 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)  all_56_4 = e3
% 186.46/30.82    (2)  all_56_4 = e1
% 186.46/30.82    (3)   ~ (e3 = e1)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | COMBINE_EQS: (1), (2) imply:
% 186.46/30.82  |   (4)  e3 = e1
% 186.46/30.82  | 
% 186.46/30.82  | SIMP: (4) implies:
% 186.46/30.82  |   (5)  e3 = e1
% 186.46/30.82  | 
% 186.46/30.82  | REDUCE: (3), (5) imply:
% 186.46/30.82  |   (6)  $false
% 186.46/30.82  | 
% 186.46/30.82  | CLOSE: (6) is inconsistent.
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1568 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)  op(e3, e1) = e1
% 186.46/30.82    (2)  all_56_9 = e2
% 186.46/30.82    (3)   ~ (all_4_2 = e0)
% 186.46/30.82    (4)   ~ (e1 = e0)
% 186.46/30.82    (5)   ~ (e3 = e0)
% 186.46/30.82    (6)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0) |
% 186.46/30.82         (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.46/30.82    (7)   ~ (e2 = e0)
% 186.46/30.82    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82    (9)  all_56_1 = e3
% 186.46/30.82    (10)  op(e3, e3) = all_4_2
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | BETA: splitting (6) gives:
% 186.46/30.82  | 
% 186.46/30.82  | Case 1:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (11)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 186.46/30.82  | |           e0)
% 186.46/30.82  | | 
% 186.46/30.82  | | REF_CLOSE: (3), (5), (8), (9), (10), (11) are inconsistent by sub-proof
% 186.46/30.82  | |            #1572.
% 186.46/30.82  | | 
% 186.46/30.82  | Case 2:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (12)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 186.46/30.82  | |           e0)
% 186.46/30.82  | | 
% 186.46/30.82  | | REF_CLOSE: (1), (2), (4), (7), (8), (12) are inconsistent by sub-proof
% 186.46/30.82  | |            #1569.
% 186.46/30.82  | | 
% 186.46/30.82  | End of split
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1569 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)  op(e3, e1) = e1
% 186.46/30.82    (2)  all_56_9 = e2
% 186.46/30.82    (3)   ~ (e1 = e0)
% 186.46/30.82    (4)   ~ (e2 = e0)
% 186.46/30.82    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82    (6)  (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) = e0)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | BETA: splitting (6) gives:
% 186.46/30.82  | 
% 186.46/30.82  | Case 1:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (7)  all_56_4 = e0 & op(e3, e1) = e0
% 186.46/30.82  | | 
% 186.46/30.82  | | ALPHA: (7) implies:
% 186.46/30.82  | |   (8)  op(e3, e1) = e0
% 186.46/30.82  | | 
% 186.46/30.82  | | REF_CLOSE: (1), (3), (5), (8) are inconsistent by sub-proof #1571.
% 186.46/30.82  | | 
% 186.46/30.82  | Case 2:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (9)  all_56_9 = e0 & op(e3, e0) = e0
% 186.46/30.82  | | 
% 186.46/30.82  | | ALPHA: (9) implies:
% 186.46/30.82  | |   (10)  all_56_9 = e0
% 186.46/30.82  | | 
% 186.46/30.82  | | REF_CLOSE: (2), (4), (10) are inconsistent by sub-proof #1570.
% 186.46/30.82  | | 
% 186.46/30.82  | End of split
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1570 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)  all_56_9 = e2
% 186.46/30.82    (2)  all_56_9 = e0
% 186.46/30.82    (3)   ~ (e2 = e0)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | COMBINE_EQS: (1), (2) imply:
% 186.46/30.82  |   (4)  e2 = e0
% 186.46/30.82  | 
% 186.46/30.82  | SIMP: (4) implies:
% 186.46/30.82  |   (5)  e2 = e0
% 186.46/30.82  | 
% 186.46/30.82  | REDUCE: (3), (5) imply:
% 186.46/30.82  |   (6)  $false
% 186.46/30.82  | 
% 186.46/30.82  | CLOSE: (6) is inconsistent.
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1571 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82    (2)  op(e3, e1) = e1
% 186.46/30.82    (3)  op(e3, e1) = e0
% 186.46/30.82    (4)   ~ (e1 = e0)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | GROUND_INST: instantiating (1) with e0, e1, e1, e3, simplifying with (2), (3)
% 186.46/30.82  |              gives:
% 186.46/30.82  |   (5)  e1 = e0
% 186.46/30.82  | 
% 186.46/30.82  | REDUCE: (4), (5) imply:
% 186.46/30.82  |   (6)  $false
% 186.46/30.82  | 
% 186.46/30.82  | CLOSE: (6) is inconsistent.
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1572 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)   ~ (all_4_2 = e0)
% 186.46/30.82    (2)   ~ (e3 = e0)
% 186.46/30.82    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 186.46/30.82    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82    (5)  all_56_1 = e3
% 186.46/30.82    (6)  op(e3, e3) = all_4_2
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | BETA: splitting (3) gives:
% 186.46/30.82  | 
% 186.46/30.82  | Case 1:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 186.46/30.82  | | 
% 186.46/30.82  | | ALPHA: (7) implies:
% 186.46/30.82  | |   (8)  op(e3, e3) = e0
% 186.46/30.82  | | 
% 186.46/30.82  | | REF_CLOSE: (1), (4), (6), (8) are inconsistent by sub-proof #1624.
% 186.46/30.82  | | 
% 186.46/30.82  | Case 2:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (9)  all_56_1 = e0 & op(e3, e2) = e0
% 186.46/30.82  | | 
% 186.46/30.82  | | ALPHA: (9) implies:
% 186.46/30.82  | |   (10)  all_56_1 = e0
% 186.46/30.82  | | 
% 186.46/30.82  | | REF_CLOSE: (2), (5), (10) are inconsistent by sub-proof #1573.
% 186.46/30.82  | | 
% 186.46/30.82  | End of split
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1573 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)  all_56_1 = e3
% 186.46/30.82    (2)  all_56_1 = e0
% 186.46/30.82    (3)   ~ (e3 = e0)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | COMBINE_EQS: (1), (2) imply:
% 186.46/30.82  |   (4)  e3 = e0
% 186.46/30.82  | 
% 186.46/30.82  | SIMP: (4) implies:
% 186.46/30.82  |   (5)  e3 = e0
% 186.46/30.82  | 
% 186.46/30.82  | REDUCE: (3), (5) imply:
% 186.46/30.82  |   (6)  $false
% 186.46/30.82  | 
% 186.46/30.82  | CLOSE: (6) is inconsistent.
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1574 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)  all_56_9 = e0 & op(e3, e0) = e0
% 186.46/30.82    (2)  all_56_9 = e2
% 186.46/30.82    (3)   ~ (e2 = e0)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | ALPHA: (1) implies:
% 186.46/30.82  |   (4)  all_56_9 = e0
% 186.46/30.82  | 
% 186.46/30.82  | COMBINE_EQS: (2), (4) imply:
% 186.46/30.82  |   (5)  e2 = e0
% 186.46/30.82  | 
% 186.46/30.82  | REDUCE: (3), (5) imply:
% 186.46/30.82  |   (6)  $false
% 186.46/30.82  | 
% 186.46/30.82  | CLOSE: (6) is inconsistent.
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1575 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)  all_56_9 = e2
% 186.46/30.82    (2)   ~ (e3 = e0)
% 186.46/30.82    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82    (4)  (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) = e3)
% 186.46/30.82    (5)   ~ (e3 = e2)
% 186.46/30.82    (6)  op(e3, e1) = e0
% 186.46/30.82    (7)  op(e3, e1) = all_52_8
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | BETA: splitting (4) gives:
% 186.46/30.82  | 
% 186.46/30.82  | Case 1:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (8)  all_56_4 = e3 & op(e3, e1) = e3
% 186.46/30.82  | | 
% 186.46/30.82  | | ALPHA: (8) implies:
% 186.46/30.82  | |   (9)  op(e3, e1) = e3
% 186.46/30.82  | | 
% 186.46/30.82  | | REF_CLOSE: (2), (3), (6), (7), (9) are inconsistent by sub-proof #1577.
% 186.46/30.82  | | 
% 186.46/30.82  | Case 2:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (10)  all_56_9 = e3 & op(e3, e0) = e3
% 186.46/30.82  | | 
% 186.46/30.82  | | ALPHA: (10) implies:
% 186.46/30.82  | |   (11)  all_56_9 = e3
% 186.46/30.82  | | 
% 186.46/30.82  | | REF_CLOSE: (1), (5), (11) are inconsistent by sub-proof #1576.
% 186.46/30.82  | | 
% 186.46/30.82  | End of split
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1576 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)  all_56_9 = e3
% 186.46/30.82    (2)  all_56_9 = e2
% 186.46/30.82    (3)   ~ (e3 = e2)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | COMBINE_EQS: (1), (2) imply:
% 186.46/30.82  |   (4)  e3 = e2
% 186.46/30.82  | 
% 186.46/30.82  | SIMP: (4) implies:
% 186.46/30.82  |   (5)  e3 = e2
% 186.46/30.82  | 
% 186.46/30.82  | REDUCE: (3), (5) imply:
% 186.46/30.82  |   (6)  $false
% 186.46/30.82  | 
% 186.46/30.82  | CLOSE: (6) is inconsistent.
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1577 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)  op(e3, e1) = e3
% 186.46/30.82    (2)   ~ (e3 = e0)
% 186.46/30.82    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82    (4)  op(e3, e1) = e0
% 186.46/30.82    (5)  op(e3, e1) = all_52_8
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | GROUND_INST: instantiating (3) with all_52_8, e0, e1, e3, simplifying with
% 186.46/30.82  |              (4), (5) gives:
% 186.46/30.82  |   (6)  all_52_8 = e0
% 186.46/30.82  | 
% 186.46/30.82  | GROUND_INST: instantiating (3) with all_52_8, e3, e1, e3, simplifying with
% 186.46/30.82  |              (1), (5) gives:
% 186.46/30.82  |   (7)  all_52_8 = e3
% 186.46/30.82  | 
% 186.46/30.82  | COMBINE_EQS: (6), (7) imply:
% 186.46/30.82  |   (8)  e3 = e0
% 186.46/30.82  | 
% 186.46/30.82  | SIMP: (8) implies:
% 186.46/30.82  |   (9)  e3 = e0
% 186.46/30.82  | 
% 186.46/30.82  | REDUCE: (2), (9) imply:
% 186.46/30.82  |   (10)  $false
% 186.46/30.82  | 
% 186.46/30.82  | CLOSE: (10) is inconsistent.
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1578 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)   ~ (e3 = e1)
% 186.46/30.82    (2)  op(e3, e3) = e2
% 186.46/30.82    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82    (4)  (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 186.46/30.82    (5)   ~ (e3 = e2)
% 186.46/30.82    (6)  op(e3, e2) = e1
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | BETA: splitting (4) gives:
% 186.46/30.82  | 
% 186.46/30.82  | Case 1:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (7)  all_56_0 = e3 & op(e3, e3) = e3
% 186.46/30.82  | | 
% 186.46/30.82  | | ALPHA: (7) implies:
% 186.46/30.82  | |   (8)  op(e3, e3) = e3
% 186.46/30.82  | | 
% 186.46/30.82  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #1594.
% 186.46/30.82  | | 
% 186.46/30.82  | Case 2:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (9)  all_56_1 = e3 & op(e3, e2) = e3
% 186.46/30.82  | | 
% 186.46/30.82  | | ALPHA: (9) implies:
% 186.46/30.82  | |   (10)  op(e3, e2) = e3
% 186.46/30.82  | | 
% 186.46/30.82  | | REF_CLOSE: (1), (3), (6), (10) are inconsistent by sub-proof #1579.
% 186.46/30.82  | | 
% 186.46/30.82  | End of split
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1579 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82    (2)  op(e3, e2) = e3
% 186.46/30.82    (3)  op(e3, e2) = e1
% 186.46/30.82    (4)   ~ (e3 = e1)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | GROUND_INST: instantiating (1) with e1, e3, e2, e3, simplifying with (2), (3)
% 186.46/30.82  |              gives:
% 186.46/30.82  |   (5)  e3 = e1
% 186.46/30.82  | 
% 186.46/30.82  | REDUCE: (4), (5) imply:
% 186.46/30.82  |   (6)  $false
% 186.46/30.82  | 
% 186.46/30.82  | CLOSE: (6) is inconsistent.
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1580 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)   ~ (all_4_2 = e0)
% 186.46/30.82    (2)   ~ (e1 = e0)
% 186.46/30.82    (3)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 186.46/30.82    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82    (5)  op(e3, e3) = all_4_2
% 186.46/30.82    (6)  all_56_1 = e1
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | BETA: splitting (3) gives:
% 186.46/30.82  | 
% 186.46/30.82  | Case 1:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 186.46/30.82  | | 
% 186.46/30.82  | | ALPHA: (7) implies:
% 186.46/30.82  | |   (8)  op(e3, e3) = e0
% 186.46/30.82  | | 
% 186.46/30.82  | | REF_CLOSE: (1), (4), (5), (8) are inconsistent by sub-proof #1624.
% 186.46/30.82  | | 
% 186.46/30.82  | Case 2:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (9)  all_56_1 = e0 & op(e3, e2) = e0
% 186.46/30.82  | | 
% 186.46/30.82  | | REF_CLOSE: (2), (6), (9) are inconsistent by sub-proof #1581.
% 186.46/30.82  | | 
% 186.46/30.82  | End of split
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1581 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)  all_56_1 = e0 & op(e3, e2) = e0
% 186.46/30.82    (2)  all_56_1 = e1
% 186.46/30.82    (3)   ~ (e1 = e0)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | ALPHA: (1) implies:
% 186.46/30.82  |   (4)  all_56_1 = e0
% 186.46/30.82  | 
% 186.46/30.82  | COMBINE_EQS: (2), (4) imply:
% 186.46/30.82  |   (5)  e1 = e0
% 186.46/30.82  | 
% 186.46/30.82  | REDUCE: (3), (5) imply:
% 186.46/30.82  |   (6)  $false
% 186.46/30.82  | 
% 186.46/30.82  | CLOSE: (6) is inconsistent.
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1582 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82    (2)  op(e3, e3) = e2
% 186.46/30.82    (3)  op(e3, e3) = e1
% 186.46/30.82    (4)   ~ (e2 = e1)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | GROUND_INST: instantiating (1) with e1, e2, e3, e3, simplifying with (2), (3)
% 186.46/30.82  |              gives:
% 186.46/30.82  |   (5)  e2 = e1
% 186.46/30.82  | 
% 186.46/30.82  | REDUCE: (4), (5) imply:
% 186.46/30.82  |   (6)  $false
% 186.46/30.82  | 
% 186.46/30.82  | CLOSE: (6) is inconsistent.
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1583 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)  op(e1, e0) = all_52_14
% 186.46/30.82    (2)   ~ (all_52_14 = e1)
% 186.46/30.82    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82    (4)  (all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~ (all_57_8 =
% 186.46/30.82             e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~ (all_57_30 = e0)
% 186.46/30.82           & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) = all_57_9 & op(e1,
% 186.46/30.82             all_57_30) = all_57_10 & op(e1, e3) = all_57_22 & op(e1, e2) =
% 186.46/30.82           all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 & $i(all_57_8) &
% 186.46/30.82           $i(all_57_9) & $i(all_57_10) & $i(all_57_22) & $i(all_57_23) &
% 186.46/30.82           $i(all_57_30)) | ( ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~
% 186.46/30.82           (all_57_14 = e1) &  ~ (all_57_15 = e0) & op(e0, all_57_25) = all_57_12
% 186.46/30.82           & op(e0, all_57_26) = all_57_13 & op(e0, all_57_27) = all_57_14 &
% 186.46/30.82           op(e0, all_57_31) = all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) =
% 186.46/30.82           all_57_26 & op(e0, e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) &
% 186.46/30.82           $i(all_57_14) & $i(all_57_15) & $i(all_57_25) & $i(all_57_26) &
% 186.46/30.82           $i(all_57_31) & (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 &
% 186.46/30.82               op(e3, e0) = e0) | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) =
% 186.46/30.82               e0) | (all_57_24 = e0 & all_57_27 = e0 & op(e1, e0) = e0)))
% 186.46/30.82    (5)  all_57_31 = e0
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | BETA: splitting (4) gives:
% 186.46/30.82  | 
% 186.46/30.82  | Case 1:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (6)  all_57_11 = all_57_30 & all_57_24 = e1 & all_57_27 = e1 &  ~
% 186.46/30.82  | |        (all_57_8 = e3) &  ~ (all_57_9 = e2) &  ~ (all_57_10 = e1) &  ~
% 186.46/30.82  | |        (all_57_30 = e0) & op(e1, all_57_22) = all_57_8 & op(e1, all_57_23) =
% 186.46/30.82  | |        all_57_9 & op(e1, all_57_30) = all_57_10 & op(e1, e3) = all_57_22 &
% 186.46/30.82  | |        op(e1, e2) = all_57_23 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 186.46/30.82  | |        $i(all_57_8) & $i(all_57_9) & $i(all_57_10) & $i(all_57_22) &
% 186.46/30.82  | |        $i(all_57_23) & $i(all_57_30)
% 186.46/30.82  | | 
% 186.46/30.82  | | ALPHA: (6) implies:
% 186.46/30.82  | |   (7)  op(e1, e0) = e1
% 186.46/30.82  | | 
% 186.46/30.82  | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #1609.
% 186.46/30.82  | | 
% 186.46/30.82  | Case 2:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (8)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.46/30.82  | |        (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26)
% 186.46/30.82  | |        = all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) =
% 186.46/30.82  | |        all_57_15 & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0,
% 186.46/30.82  | |          e0) = all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) &
% 186.46/30.82  | |        $i(all_57_15) & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) &
% 186.46/30.82  | |        (all_57_31 = e0 | (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0)
% 186.46/30.82  | |          | (all_57_21 = e0 & all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24
% 186.46/30.82  | |            = e0 & all_57_27 = e0 & op(e1, e0) = e0))
% 186.46/30.82  | | 
% 186.46/30.82  | | REF_CLOSE: (3), (5), (8) are inconsistent by sub-proof #1584.
% 186.46/30.82  | | 
% 186.46/30.82  | End of split
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1584 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)   ~ (all_57_12 = e3) &  ~ (all_57_13 = e2) &  ~ (all_57_14 = e1) &  ~
% 186.46/30.82         (all_57_15 = e0) & op(e0, all_57_25) = all_57_12 & op(e0, all_57_26) =
% 186.46/30.82         all_57_13 & op(e0, all_57_27) = all_57_14 & op(e0, all_57_31) = all_57_15
% 186.46/30.82         & op(e0, e3) = all_57_25 & op(e0, e2) = all_57_26 & op(e0, e0) =
% 186.46/30.82         all_57_31 & $i(all_57_12) & $i(all_57_13) & $i(all_57_14) & $i(all_57_15)
% 186.46/30.82         & $i(all_57_25) & $i(all_57_26) & $i(all_57_31) & (all_57_31 = e0 |
% 186.46/30.82           (all_57_18 = e0 & all_57_25 = e0 & op(e3, e0) = e0) | (all_57_21 = e0 &
% 186.46/30.82             all_57_26 = e0 & op(e2, e0) = e0) | (all_57_24 = e0 & all_57_27 = e0
% 186.46/30.82             & op(e1, e0) = e0))
% 186.46/30.82    (2)  all_57_31 = e0
% 186.46/30.82    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | ALPHA: (1) implies:
% 186.46/30.82  |   (4)   ~ (all_57_15 = e0)
% 186.46/30.82  |   (5)  op(e0, e0) = all_57_31
% 186.46/30.82  |   (6)  op(e0, all_57_31) = all_57_15
% 186.46/30.82  | 
% 186.46/30.82  | REDUCE: (2), (6) imply:
% 186.46/30.82  |   (7)  op(e0, e0) = all_57_15
% 186.46/30.82  | 
% 186.46/30.82  | REDUCE: (2), (5) imply:
% 186.46/30.82  |   (8)  op(e0, e0) = e0
% 186.46/30.82  | 
% 186.46/30.82  | REF_CLOSE: (3), (4), (7), (8) are inconsistent by sub-proof #1605.
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1585 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)   ~ (all_4_2 = e0)
% 186.46/30.82    (2)   ~ (e2 = e0)
% 186.46/30.82    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82    (4)  op(e3, e3) = all_4_2
% 186.46/30.82    (5)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 186.46/30.82    (6)  op(e2, e2) = e2
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | BETA: splitting (5) gives:
% 186.46/30.82  | 
% 186.46/30.82  | Case 1:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (7)  all_57_28 = e0 & op(e3, e3) = e0
% 186.46/30.82  | | 
% 186.46/30.82  | | ALPHA: (7) implies:
% 186.46/30.82  | |   (8)  op(e3, e3) = e0
% 186.46/30.82  | | 
% 186.46/30.82  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #1624.
% 186.46/30.82  | | 
% 186.46/30.82  | Case 2:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (9)  all_57_29 = e0 & op(e2, e2) = e0
% 186.46/30.82  | | 
% 186.46/30.82  | | ALPHA: (9) implies:
% 186.46/30.82  | |   (10)  op(e2, e2) = e0
% 186.46/30.82  | | 
% 186.46/30.82  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1586.
% 186.46/30.82  | | 
% 186.46/30.82  | End of split
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1586 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82    (2)  op(e2, e2) = e2
% 186.46/30.82    (3)  op(e2, e2) = e0
% 186.46/30.82    (4)   ~ (e2 = e0)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | GROUND_INST: instantiating (1) with e0, e2, e2, e2, simplifying with (2), (3)
% 186.46/30.82  |              gives:
% 186.46/30.82  |   (5)  e2 = e0
% 186.46/30.82  | 
% 186.46/30.82  | REDUCE: (4), (5) imply:
% 186.46/30.82  |   (6)  $false
% 186.46/30.82  | 
% 186.46/30.82  | CLOSE: (6) is inconsistent.
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1587 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)   ~ (all_4_2 = e0)
% 186.46/30.82    (2)  op(e2, e3) = e3
% 186.46/30.82    (3)   ~ (e1 = e0)
% 186.46/30.82    (4)  op(e1, e3) = all_52_2
% 186.46/30.82    (5)   ~ (e3 = e0)
% 186.46/30.82    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.46/30.82         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.46/30.82    (7)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) |
% 186.46/30.82         (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)
% 186.46/30.82    (8)   ~ (e2 = e0)
% 186.46/30.82    (9)   ~ (e3 = e1)
% 186.46/30.82    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82    (11)   ~ (e3 = e2)
% 186.46/30.82    (12)  all_56_2 = e3
% 186.46/30.82    (13)  op(e3, e3) = all_4_2
% 186.46/30.82    (14)  op(e3, e3) = e3
% 186.46/30.82    (15)   ~ (e2 = e1)
% 186.46/30.82    (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.46/30.82          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.46/30.82    (17)   ~ (all_52_2 = e1)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | BETA: splitting (7) gives:
% 186.46/30.82  | 
% 186.46/30.82  | Case 1:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (18)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) =
% 186.46/30.82  | |           e1)
% 186.46/30.82  | | 
% 186.46/30.82  | | REF_CLOSE: (9), (10), (12), (14), (18) are inconsistent by sub-proof #1598.
% 186.46/30.82  | | 
% 186.46/30.82  | Case 2:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (19)  (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 186.46/30.82  | |           e1)
% 186.46/30.82  | | 
% 186.46/30.82  | | BETA: splitting (19) gives:
% 186.46/30.82  | | 
% 186.46/30.82  | | Case 1:
% 186.46/30.82  | | | 
% 186.46/30.82  | | |   (20)  all_56_6 = e1 & op(e1, e3) = e1
% 186.46/30.82  | | | 
% 186.46/30.82  | | | ALPHA: (20) implies:
% 186.46/30.82  | | |   (21)  op(e1, e3) = e1
% 186.46/30.82  | | | 
% 186.46/30.82  | | | REF_CLOSE: (4), (10), (17), (21) are inconsistent by sub-proof #1597.
% 186.46/30.82  | | | 
% 186.46/30.82  | | Case 2:
% 186.46/30.82  | | | 
% 186.46/30.82  | | |   (22)  all_56_12 = e1 & op(e0, e3) = e1
% 186.46/30.82  | | | 
% 186.46/30.82  | | | ALPHA: (22) implies:
% 186.46/30.82  | | |   (23)  all_56_12 = e1
% 186.46/30.82  | | |   (24)  op(e0, e3) = e1
% 186.46/30.82  | | | 
% 186.46/30.82  | | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (10), (11), (12), (13), (14),
% 186.46/30.82  | | |            (15), (16), (23), (24) are inconsistent by sub-proof #1588.
% 186.46/30.82  | | | 
% 186.46/30.82  | | End of split
% 186.46/30.82  | | 
% 186.46/30.82  | End of split
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1588 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)   ~ (all_4_2 = e0)
% 186.46/30.82    (2)  op(e2, e3) = e3
% 186.46/30.82    (3)   ~ (e1 = e0)
% 186.46/30.82    (4)   ~ (e3 = e0)
% 186.46/30.82    (5)  op(e0, e3) = e1
% 186.46/30.82    (6)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.46/30.82         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.46/30.82    (7)   ~ (e2 = e0)
% 186.46/30.82    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82    (9)   ~ (e3 = e2)
% 186.46/30.82    (10)  all_56_2 = e3
% 186.46/30.82    (11)  all_56_12 = e1
% 186.46/30.82    (12)  op(e3, e3) = all_4_2
% 186.46/30.82    (13)  op(e3, e3) = e3
% 186.46/30.82    (14)   ~ (e2 = e1)
% 186.46/30.82    (15)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0) |
% 186.46/30.82          (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) = e0)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | BETA: splitting (15) gives:
% 186.46/30.82  | 
% 186.46/30.82  | Case 1:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (16)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) =
% 186.46/30.82  | |           e0)
% 186.46/30.82  | | 
% 186.46/30.82  | | REF_CLOSE: (1), (2), (4), (8), (12), (16) are inconsistent by sub-proof
% 186.46/30.82  | |            #1595.
% 186.46/30.82  | | 
% 186.46/30.82  | Case 2:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (17)  (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 186.46/30.82  | |           e0)
% 186.46/30.82  | | 
% 186.46/30.82  | | BETA: splitting (17) gives:
% 186.46/30.82  | | 
% 186.46/30.82  | | Case 1:
% 186.46/30.82  | | | 
% 186.46/30.82  | | |   (18)  all_56_6 = e0 & op(e1, e3) = e0
% 186.46/30.82  | | | 
% 186.46/30.82  | | | ALPHA: (18) implies:
% 186.46/30.82  | | |   (19)  all_56_6 = e0
% 186.46/30.82  | | | 
% 186.46/30.82  | | | REF_CLOSE: (6), (7), (8), (9), (10), (11), (13), (14), (19) are
% 186.46/30.82  | | |            inconsistent by sub-proof #1590.
% 186.46/30.82  | | | 
% 186.46/30.82  | | Case 2:
% 186.46/30.82  | | | 
% 186.46/30.82  | | |   (20)  all_56_12 = e0 & op(e0, e3) = e0
% 186.46/30.82  | | | 
% 186.46/30.82  | | | ALPHA: (20) implies:
% 186.46/30.82  | | |   (21)  op(e0, e3) = e0
% 186.46/30.82  | | | 
% 186.46/30.82  | | | REF_CLOSE: (3), (5), (8), (21) are inconsistent by sub-proof #1589.
% 186.46/30.82  | | | 
% 186.46/30.82  | | End of split
% 186.46/30.82  | | 
% 186.46/30.82  | End of split
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1589 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82    (2)  op(e0, e3) = e1
% 186.46/30.82    (3)  op(e0, e3) = e0
% 186.46/30.82    (4)   ~ (e1 = e0)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | GROUND_INST: instantiating (1) with e0, e1, e3, e0, simplifying with (2), (3)
% 186.46/30.82  |              gives:
% 186.46/30.82  |   (5)  e1 = e0
% 186.46/30.82  | 
% 186.46/30.82  | REDUCE: (4), (5) imply:
% 186.46/30.82  |   (6)  $false
% 186.46/30.82  | 
% 186.46/30.82  | CLOSE: (6) is inconsistent.
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1590 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)  all_56_6 = e0
% 186.46/30.82    (2)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2) |
% 186.46/30.82         (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) = e2)
% 186.46/30.82    (3)   ~ (e2 = e0)
% 186.46/30.82    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82    (5)   ~ (e3 = e2)
% 186.46/30.82    (6)  all_56_2 = e3
% 186.46/30.82    (7)  all_56_12 = e1
% 186.46/30.82    (8)  op(e3, e3) = e3
% 186.46/30.82    (9)   ~ (e2 = e1)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | BETA: splitting (2) gives:
% 186.46/30.82  | 
% 186.46/30.82  | Case 1:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (10)  (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 186.46/30.82  | |           e2)
% 186.46/30.82  | | 
% 186.46/30.82  | | BETA: splitting (10) gives:
% 186.46/30.82  | | 
% 186.46/30.82  | | Case 1:
% 186.46/30.82  | | | 
% 186.46/30.82  | | |   (11)  all_56_0 = e2 & op(e3, e3) = e2
% 186.46/30.82  | | | 
% 186.46/30.82  | | | ALPHA: (11) implies:
% 186.46/30.82  | | |   (12)  op(e3, e3) = e2
% 186.46/30.82  | | | 
% 186.46/30.82  | | | REF_CLOSE: (4), (5), (8), (12) are inconsistent by sub-proof #1594.
% 186.46/30.82  | | | 
% 186.46/30.82  | | Case 2:
% 186.46/30.82  | | | 
% 186.46/30.82  | | |   (13)  all_56_2 = e2 & op(e2, e3) = e2
% 186.46/30.82  | | | 
% 186.46/30.82  | | | REF_CLOSE: (5), (6), (13) are inconsistent by sub-proof #1593.
% 186.46/30.82  | | | 
% 186.46/30.82  | | End of split
% 186.46/30.82  | | 
% 186.46/30.82  | Case 2:
% 186.46/30.82  | | 
% 186.46/30.82  | |   (14)  (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 186.46/30.82  | |           e2)
% 186.46/30.82  | | 
% 186.46/30.82  | | BETA: splitting (14) gives:
% 186.46/30.82  | | 
% 186.46/30.82  | | Case 1:
% 186.46/30.82  | | | 
% 186.46/30.82  | | |   (15)  all_56_6 = e2 & op(e1, e3) = e2
% 186.46/30.82  | | | 
% 186.46/30.82  | | | ALPHA: (15) implies:
% 186.46/30.82  | | |   (16)  all_56_6 = e2
% 186.46/30.82  | | | 
% 186.46/30.82  | | | REF_CLOSE: (1), (3), (16) are inconsistent by sub-proof #1592.
% 186.46/30.82  | | | 
% 186.46/30.82  | | Case 2:
% 186.46/30.82  | | | 
% 186.46/30.82  | | |   (17)  all_56_12 = e2 & op(e0, e3) = e2
% 186.46/30.82  | | | 
% 186.46/30.82  | | | REF_CLOSE: (7), (9), (17) are inconsistent by sub-proof #1591.
% 186.46/30.82  | | | 
% 186.46/30.82  | | End of split
% 186.46/30.82  | | 
% 186.46/30.82  | End of split
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1591 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)  all_56_12 = e2 & op(e0, e3) = e2
% 186.46/30.82    (2)  all_56_12 = e1
% 186.46/30.82    (3)   ~ (e2 = e1)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | ALPHA: (1) implies:
% 186.46/30.82  |   (4)  all_56_12 = e2
% 186.46/30.82  | 
% 186.46/30.82  | COMBINE_EQS: (2), (4) imply:
% 186.46/30.82  |   (5)  e2 = e1
% 186.46/30.82  | 
% 186.46/30.82  | REDUCE: (3), (5) imply:
% 186.46/30.82  |   (6)  $false
% 186.46/30.82  | 
% 186.46/30.82  | CLOSE: (6) is inconsistent.
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1592 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)  all_56_6 = e2
% 186.46/30.82    (2)  all_56_6 = e0
% 186.46/30.82    (3)   ~ (e2 = e0)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | COMBINE_EQS: (1), (2) imply:
% 186.46/30.82  |   (4)  e2 = e0
% 186.46/30.82  | 
% 186.46/30.82  | SIMP: (4) implies:
% 186.46/30.82  |   (5)  e2 = e0
% 186.46/30.82  | 
% 186.46/30.82  | REDUCE: (3), (5) imply:
% 186.46/30.82  |   (6)  $false
% 186.46/30.82  | 
% 186.46/30.82  | CLOSE: (6) is inconsistent.
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1593 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)  all_56_2 = e2 & op(e2, e3) = e2
% 186.46/30.82    (2)  all_56_2 = e3
% 186.46/30.82    (3)   ~ (e3 = e2)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | ALPHA: (1) implies:
% 186.46/30.82  |   (4)  all_56_2 = e2
% 186.46/30.82  | 
% 186.46/30.82  | COMBINE_EQS: (2), (4) imply:
% 186.46/30.82  |   (5)  e3 = e2
% 186.46/30.82  | 
% 186.46/30.82  | REDUCE: (3), (5) imply:
% 186.46/30.82  |   (6)  $false
% 186.46/30.82  | 
% 186.46/30.82  | CLOSE: (6) is inconsistent.
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1594 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.82    (2)  op(e3, e3) = e3
% 186.46/30.82    (3)  op(e3, e3) = e2
% 186.46/30.82    (4)   ~ (e3 = e2)
% 186.46/30.82  
% 186.46/30.82  Begin of proof
% 186.46/30.82  | 
% 186.46/30.82  | GROUND_INST: instantiating (1) with e2, e3, e3, e3, simplifying with (2), (3)
% 186.46/30.82  |              gives:
% 186.46/30.82  |   (5)  e3 = e2
% 186.46/30.82  | 
% 186.46/30.82  | REDUCE: (4), (5) imply:
% 186.46/30.82  |   (6)  $false
% 186.46/30.82  | 
% 186.46/30.82  | CLOSE: (6) is inconsistent.
% 186.46/30.82  | 
% 186.46/30.82  End of proof
% 186.46/30.82  
% 186.46/30.82  Sub-proof #1595 shows that the following formulas are inconsistent:
% 186.46/30.82  ----------------------------------------------------------------
% 186.46/30.82    (1)  (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 186.46/30.82    (2)   ~ (all_4_2 = e0)
% 186.46/30.82    (3)  op(e2, e3) = e3
% 186.46/30.82    (4)   ~ (e3 = e0)
% 186.46/30.82    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (6)  op(e3, e3) = all_4_2
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | BETA: splitting (1) gives:
% 186.46/30.83  | 
% 186.46/30.83  | Case 1:
% 186.46/30.83  | | 
% 186.46/30.83  | |   (7)  all_56_0 = e0 & op(e3, e3) = e0
% 186.46/30.83  | | 
% 186.46/30.83  | | ALPHA: (7) implies:
% 186.46/30.83  | |   (8)  op(e3, e3) = e0
% 186.46/30.83  | | 
% 186.46/30.83  | | REF_CLOSE: (2), (5), (6), (8) are inconsistent by sub-proof #1624.
% 186.46/30.83  | | 
% 186.46/30.83  | Case 2:
% 186.46/30.83  | | 
% 186.46/30.83  | |   (9)  all_56_2 = e0 & op(e2, e3) = e0
% 186.46/30.83  | | 
% 186.46/30.83  | | ALPHA: (9) implies:
% 186.46/30.83  | |   (10)  op(e2, e3) = e0
% 186.46/30.83  | | 
% 186.46/30.83  | | REF_CLOSE: (3), (4), (5), (10) are inconsistent by sub-proof #1596.
% 186.46/30.83  | | 
% 186.46/30.83  | End of split
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1596 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (2)  op(e2, e3) = e3
% 186.46/30.83    (3)  op(e2, e3) = e0
% 186.46/30.83    (4)   ~ (e3 = e0)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | GROUND_INST: instantiating (1) with e0, e3, e3, e2, simplifying with (2), (3)
% 186.46/30.83  |              gives:
% 186.46/30.83  |   (5)  e3 = e0
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (4), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1597 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (2)  op(e1, e3) = all_52_2
% 186.46/30.83    (3)  op(e1, e3) = e1
% 186.46/30.83    (4)   ~ (all_52_2 = e1)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | GROUND_INST: instantiating (1) with all_52_2, e1, e3, e1, simplifying with
% 186.46/30.83  |              (2), (3) gives:
% 186.46/30.83  |   (5)  all_52_2 = e1
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (4), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1598 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ~ (e3 = e1)
% 186.46/30.83    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (3)  all_56_2 = e3
% 186.46/30.83    (4)  (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 186.46/30.83    (5)  op(e3, e3) = e3
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | BETA: splitting (4) gives:
% 186.46/30.83  | 
% 186.46/30.83  | Case 1:
% 186.46/30.83  | | 
% 186.46/30.83  | |   (6)  all_56_0 = e1 & op(e3, e3) = e1
% 186.46/30.83  | | 
% 186.46/30.83  | | ALPHA: (6) implies:
% 186.46/30.83  | |   (7)  op(e3, e3) = e1
% 186.46/30.83  | | 
% 186.46/30.83  | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #1600.
% 186.46/30.83  | | 
% 186.46/30.83  | Case 2:
% 186.46/30.83  | | 
% 186.46/30.83  | |   (8)  all_56_2 = e1 & op(e2, e3) = e1
% 186.46/30.83  | | 
% 186.46/30.83  | | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #1599.
% 186.46/30.83  | | 
% 186.46/30.83  | End of split
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1599 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)  all_56_2 = e1 & op(e2, e3) = e1
% 186.46/30.83    (2)  all_56_2 = e3
% 186.46/30.83    (3)   ~ (e3 = e1)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | ALPHA: (1) implies:
% 186.46/30.83  |   (4)  all_56_2 = e1
% 186.46/30.83  | 
% 186.46/30.83  | COMBINE_EQS: (2), (4) imply:
% 186.46/30.83  |   (5)  e3 = e1
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (3), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1600 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (2)  op(e3, e3) = e3
% 186.46/30.83    (3)  op(e3, e3) = e1
% 186.46/30.83    (4)   ~ (e3 = e1)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | GROUND_INST: instantiating (1) with e1, e3, e3, e3, simplifying with (2), (3)
% 186.46/30.83  |              gives:
% 186.46/30.83  |   (5)  e3 = e1
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (4), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1601 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ~ (all_52_4 = e3)
% 186.46/30.83    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (3)   ~ (e3 = e2)
% 186.46/30.83    (4)  op(e3, e2) = all_52_4
% 186.46/30.83    (5)  (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 186.46/30.83    (6)  op(e2, e2) = e2
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | BETA: splitting (5) gives:
% 186.46/30.83  | 
% 186.46/30.83  | Case 1:
% 186.46/30.83  | | 
% 186.46/30.83  | |   (7)  all_56_1 = e3 & op(e3, e2) = e3
% 186.46/30.83  | | 
% 186.46/30.83  | | ALPHA: (7) implies:
% 186.46/30.83  | |   (8)  op(e3, e2) = e3
% 186.46/30.83  | | 
% 186.46/30.83  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1603.
% 186.46/30.83  | | 
% 186.46/30.83  | Case 2:
% 186.46/30.83  | | 
% 186.46/30.83  | |   (9)  all_56_3 = e3 & op(e2, e2) = e3
% 186.46/30.83  | | 
% 186.46/30.83  | | ALPHA: (9) implies:
% 186.46/30.83  | |   (10)  op(e2, e2) = e3
% 186.46/30.83  | | 
% 186.46/30.83  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1602.
% 186.46/30.83  | | 
% 186.46/30.83  | End of split
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1602 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (2)  op(e2, e2) = e3
% 186.46/30.83    (3)  op(e2, e2) = e2
% 186.46/30.83    (4)   ~ (e3 = e2)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | GROUND_INST: instantiating (1) with e2, e3, e2, e2, simplifying with (2), (3)
% 186.46/30.83  |              gives:
% 186.46/30.83  |   (5)  e3 = e2
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (4), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1603 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (2)  op(e3, e2) = all_52_4
% 186.46/30.83    (3)  op(e3, e2) = e3
% 186.46/30.83    (4)   ~ (all_52_4 = e3)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | GROUND_INST: instantiating (1) with all_52_4, e3, e2, e3, simplifying with
% 186.46/30.83  |              (2), (3) gives:
% 186.46/30.83  |   (5)  all_52_4 = e3
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (4), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1604 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)  op(e0, e0) = all_6_2
% 186.46/30.83    (2)  all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 186.46/30.83    (3)   ~ (all_6_2 = e1)
% 186.46/30.83    (4)   ~ (all_6_2 = e3)
% 186.46/30.83    (5)  op(e0, all_6_2) = all_57_15
% 186.46/30.83    (6)   ~ (all_57_15 = e0)
% 186.46/30.83    (7)  all_54_15 = all_6_2
% 186.46/30.83    (8)   ~ (all_6_2 = e2)
% 186.46/30.83    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | BETA: splitting (2) gives:
% 186.46/30.83  | 
% 186.46/30.83  | Case 1:
% 186.46/30.83  | | 
% 186.46/30.83  | |   (10)  all_54_15 = e3
% 186.46/30.83  | | 
% 186.46/30.83  | | REF_CLOSE: (4), (7), (10) are inconsistent by sub-proof #1608.
% 186.46/30.83  | | 
% 186.46/30.83  | Case 2:
% 186.46/30.83  | | 
% 186.46/30.83  | |   (11)  all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 186.46/30.83  | | 
% 186.46/30.83  | | BETA: splitting (11) gives:
% 186.46/30.83  | | 
% 186.46/30.83  | | Case 1:
% 186.46/30.83  | | | 
% 186.46/30.83  | | |   (12)  all_54_15 = e2
% 186.46/30.83  | | | 
% 186.46/30.83  | | | REF_CLOSE: (7), (8), (12) are inconsistent by sub-proof #1607.
% 186.46/30.83  | | | 
% 186.46/30.83  | | Case 2:
% 186.46/30.83  | | | 
% 186.46/30.83  | | |   (13)  all_54_15 = e1 | all_54_15 = e0
% 186.46/30.83  | | | 
% 186.46/30.83  | | | BETA: splitting (13) gives:
% 186.46/30.83  | | | 
% 186.46/30.83  | | | Case 1:
% 186.46/30.83  | | | | 
% 186.46/30.83  | | | |   (14)  all_54_15 = e1
% 186.46/30.83  | | | | 
% 186.46/30.83  | | | | REF_CLOSE: (3), (7), (14) are inconsistent by sub-proof #1606.
% 186.46/30.83  | | | | 
% 186.46/30.83  | | | Case 2:
% 186.46/30.83  | | | | 
% 186.46/30.83  | | | |   (15)  all_54_15 = e0
% 186.46/30.83  | | | | 
% 186.46/30.83  | | | | COMBINE_EQS: (7), (15) imply:
% 186.46/30.83  | | | |   (16)  all_6_2 = e0
% 186.46/30.83  | | | | 
% 186.46/30.83  | | | | SIMP: (16) implies:
% 186.46/30.83  | | | |   (17)  all_6_2 = e0
% 186.46/30.83  | | | | 
% 186.46/30.83  | | | | REDUCE: (5), (17) imply:
% 186.46/30.83  | | | |   (18)  op(e0, e0) = all_57_15
% 186.46/30.83  | | | | 
% 186.46/30.83  | | | | REDUCE: (1), (17) imply:
% 186.46/30.83  | | | |   (19)  op(e0, e0) = e0
% 186.46/30.83  | | | | 
% 186.46/30.83  | | | | REF_CLOSE: (6), (9), (18), (19) are inconsistent by sub-proof #1605.
% 186.46/30.83  | | | | 
% 186.46/30.83  | | | End of split
% 186.46/30.83  | | | 
% 186.46/30.83  | | End of split
% 186.46/30.83  | | 
% 186.46/30.83  | End of split
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1605 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (2)  op(e0, e0) = all_57_15
% 186.46/30.83    (3)  op(e0, e0) = e0
% 186.46/30.83    (4)   ~ (all_57_15 = e0)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | GROUND_INST: instantiating (1) with e0, all_57_15, e0, e0, simplifying with
% 186.46/30.83  |              (2), (3) gives:
% 186.46/30.83  |   (5)  all_57_15 = e0
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (4), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1606 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)  all_54_15 = all_6_2
% 186.46/30.83    (2)  all_54_15 = e1
% 186.46/30.83    (3)   ~ (all_6_2 = e1)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | COMBINE_EQS: (1), (2) imply:
% 186.46/30.83  |   (4)  all_6_2 = e1
% 186.46/30.83  | 
% 186.46/30.83  | SIMP: (4) implies:
% 186.46/30.83  |   (5)  all_6_2 = e1
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (3), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1607 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)  all_54_15 = all_6_2
% 186.46/30.83    (2)  all_54_15 = e2
% 186.46/30.83    (3)   ~ (all_6_2 = e2)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | COMBINE_EQS: (1), (2) imply:
% 186.46/30.83  |   (4)  all_6_2 = e2
% 186.46/30.83  | 
% 186.46/30.83  | SIMP: (4) implies:
% 186.46/30.83  |   (5)  all_6_2 = e2
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (3), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1608 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)  all_54_15 = all_6_2
% 186.46/30.83    (2)  all_54_15 = e3
% 186.46/30.83    (3)   ~ (all_6_2 = e3)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | COMBINE_EQS: (1), (2) imply:
% 186.46/30.83  |   (4)  all_6_2 = e3
% 186.46/30.83  | 
% 186.46/30.83  | SIMP: (4) implies:
% 186.46/30.83  |   (5)  all_6_2 = e3
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (3), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1609 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (2)  op(e1, e0) = all_52_14
% 186.46/30.83    (3)  op(e1, e0) = e1
% 186.46/30.83    (4)   ~ (all_52_14 = e1)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | GROUND_INST: instantiating (1) with all_52_14, e1, e0, e1, simplifying with
% 186.46/30.83  |              (2), (3) gives:
% 186.46/30.83  |   (5)  all_52_14 = e1
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (4), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1610 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (2)  op(e2, e1) = all_52_9
% 186.46/30.83    (3)  op(e2, e1) = e1
% 186.46/30.83    (4)   ~ (all_52_9 = e1)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | GROUND_INST: instantiating (1) with all_52_9, e1, e1, e2, simplifying with
% 186.46/30.83  |              (2), (3) gives:
% 186.46/30.83  |   (5)  all_52_9 = e1
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (4), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1611 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (2)  op(e3, e1) = all_52_8
% 186.46/30.83    (3)  op(e3, e1) = e1
% 186.46/30.83    (4)   ~ (all_52_8 = e1)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | GROUND_INST: instantiating (1) with all_52_8, e1, e1, e3, simplifying with
% 186.46/30.83  |              (2), (3) gives:
% 186.46/30.83  |   (5)  all_52_8 = e1
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (4), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1612 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (2)   ~ (all_52_6 = e2)
% 186.46/30.83    (3)  (all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4 =
% 186.46/30.83             e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 = e1) &
% 186.46/30.83           op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 & op(e2,
% 186.46/30.83             all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 186.46/30.83           all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) = e2
% 186.46/30.83           & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 186.46/30.83           $i(all_57_21) & $i(all_57_29)) | (all_57_7 = all_57_29 & all_57_21 = e2
% 186.46/30.83           & all_57_26 = e2 &  ~ (all_57_4 = e3) &  ~ (all_57_5 = e2) &  ~
% 186.46/30.83           (all_57_6 = e1) &  ~ (all_57_29 = e0) & op(e2, all_57_19) = all_57_4 &
% 186.46/30.83           op(e2, all_57_20) = all_57_6 & op(e2, all_57_29) = all_57_5 & op(e2,
% 186.46/30.83             e3) = all_57_19 & op(e2, e2) = all_57_29 & op(e2, e1) = all_57_20 &
% 186.46/30.83           op(e2, e0) = e2 & op(e0, e2) = e2 & $i(all_57_4) & $i(all_57_5) &
% 186.46/30.83           $i(all_57_6) & $i(all_57_19) & $i(all_57_20) & $i(all_57_29))
% 186.46/30.83    (4)  op(e1, e2) = all_52_6
% 186.46/30.83    (5)   ~ (all_52_7 = e2)
% 186.46/30.83    (6)  op(e0, e2) = all_52_7
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | BETA: splitting (3) gives:
% 186.46/30.83  | 
% 186.46/30.83  | Case 1:
% 186.46/30.83  | | 
% 186.46/30.83  | |   (7)  all_57_6 = all_57_29 & all_57_20 = e2 & all_57_23 = e2 &  ~ (all_57_4
% 186.46/30.83  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_7 = e0) &  ~ (all_57_29 =
% 186.46/30.83  | |          e1) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_21) = all_57_7 &
% 186.46/30.83  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 186.46/30.83  | |        all_57_29 & op(e2, e1) = e2 & op(e2, e0) = all_57_21 & op(e1, e2) =
% 186.46/30.83  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_7) & $i(all_57_19) &
% 186.46/30.83  | |        $i(all_57_21) & $i(all_57_29)
% 186.46/30.83  | | 
% 186.46/30.83  | | ALPHA: (7) implies:
% 186.46/30.83  | |   (8)  op(e1, e2) = e2
% 186.46/30.83  | | 
% 186.46/30.83  | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #1614.
% 186.46/30.83  | | 
% 186.46/30.83  | Case 2:
% 186.46/30.83  | | 
% 186.46/30.83  | |   (9)  all_57_7 = all_57_29 & all_57_21 = e2 & all_57_26 = e2 &  ~ (all_57_4
% 186.46/30.83  | |          = e3) &  ~ (all_57_5 = e2) &  ~ (all_57_6 = e1) &  ~ (all_57_29 =
% 186.46/30.83  | |          e0) & op(e2, all_57_19) = all_57_4 & op(e2, all_57_20) = all_57_6 &
% 186.46/30.83  | |        op(e2, all_57_29) = all_57_5 & op(e2, e3) = all_57_19 & op(e2, e2) =
% 186.46/30.83  | |        all_57_29 & op(e2, e1) = all_57_20 & op(e2, e0) = e2 & op(e0, e2) =
% 186.46/30.83  | |        e2 & $i(all_57_4) & $i(all_57_5) & $i(all_57_6) & $i(all_57_19) &
% 186.46/30.83  | |        $i(all_57_20) & $i(all_57_29)
% 186.46/30.83  | | 
% 186.46/30.83  | | ALPHA: (9) implies:
% 186.46/30.83  | |   (10)  op(e0, e2) = e2
% 186.46/30.83  | | 
% 186.46/30.83  | | REF_CLOSE: (1), (5), (6), (10) are inconsistent by sub-proof #1613.
% 186.46/30.83  | | 
% 186.46/30.83  | End of split
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1613 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (2)  op(e0, e2) = all_52_7
% 186.46/30.83    (3)  op(e0, e2) = e2
% 186.46/30.83    (4)   ~ (all_52_7 = e2)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | GROUND_INST: instantiating (1) with all_52_7, e2, e2, e0, simplifying with
% 186.46/30.83  |              (2), (3) gives:
% 186.46/30.83  |   (5)  all_52_7 = e2
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (4), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1614 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (2)  op(e1, e2) = all_52_6
% 186.46/30.83    (3)  op(e1, e2) = e2
% 186.46/30.83    (4)   ~ (all_52_6 = e2)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | GROUND_INST: instantiating (1) with all_52_6, e2, e2, e1, simplifying with
% 186.46/30.83  |              (2), (3) gives:
% 186.46/30.83  |   (5)  all_52_6 = e2
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (4), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1615 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (2)  op(e3, e0) = all_52_12
% 186.46/30.83    (3)  op(e3, e0) = e3
% 186.46/30.83    (4)   ~ (all_52_12 = e3)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | GROUND_INST: instantiating (1) with all_52_12, e3, e0, e3, simplifying with
% 186.46/30.83  |              (2), (3) gives:
% 186.46/30.83  |   (5)  all_52_12 = e3
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (4), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1616 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)  all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 186.46/30.83    (2)  op(e1, e1) = all_14_2
% 186.46/30.83    (3)   ~ (all_14_2 = e0)
% 186.46/30.83    (4)  all_54_10 = all_14_2
% 186.46/30.83    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (6)   ~ (all_14_2 = e3)
% 186.46/30.83    (7)   ~ (all_14_2 = e2)
% 186.46/30.83    (8)  all_57_30 = e0 & op(e1, e1) = e0
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | ALPHA: (8) implies:
% 186.46/30.83  |   (9)  op(e1, e1) = e0
% 186.46/30.83  | 
% 186.46/30.83  | BETA: splitting (1) gives:
% 186.46/30.83  | 
% 186.46/30.83  | Case 1:
% 186.46/30.83  | | 
% 186.46/30.83  | |   (10)  all_54_10 = e3
% 186.46/30.83  | | 
% 186.46/30.83  | | REF_CLOSE: (4), (6), (10) are inconsistent by sub-proof #1621.
% 186.46/30.83  | | 
% 186.46/30.83  | Case 2:
% 186.46/30.83  | | 
% 186.46/30.83  | |   (11)  all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 186.46/30.83  | | 
% 186.46/30.83  | | BETA: splitting (11) gives:
% 186.46/30.83  | | 
% 186.46/30.83  | | Case 1:
% 186.46/30.83  | | | 
% 186.46/30.83  | | |   (12)  all_54_10 = e2
% 186.46/30.83  | | | 
% 186.46/30.83  | | | REF_CLOSE: (4), (7), (12) are inconsistent by sub-proof #1620.
% 186.46/30.83  | | | 
% 186.46/30.83  | | Case 2:
% 186.46/30.83  | | | 
% 186.46/30.83  | | |   (13)  all_54_10 = e1 | all_54_10 = e0
% 186.46/30.83  | | | 
% 186.46/30.83  | | | REF_CLOSE: (2), (3), (4), (5), (9), (13) are inconsistent by sub-proof
% 186.46/30.83  | | |            #1617.
% 186.46/30.83  | | | 
% 186.46/30.83  | | End of split
% 186.46/30.83  | | 
% 186.46/30.83  | End of split
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1617 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)  op(e1, e1) = all_14_2
% 186.46/30.83    (2)   ~ (all_14_2 = e0)
% 186.46/30.83    (3)  all_54_10 = all_14_2
% 186.46/30.83    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (5)  op(e1, e1) = e0
% 186.46/30.83    (6)  all_54_10 = e1 | all_54_10 = e0
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | BETA: splitting (6) gives:
% 186.46/30.83  | 
% 186.46/30.83  | Case 1:
% 186.46/30.83  | | 
% 186.46/30.83  | |   (7)  all_54_10 = e1
% 186.46/30.83  | | 
% 186.46/30.83  | | COMBINE_EQS: (3), (7) imply:
% 186.46/30.83  | |   (8)  all_14_2 = e1
% 186.46/30.83  | | 
% 186.46/30.83  | | SIMP: (8) implies:
% 186.46/30.83  | |   (9)  all_14_2 = e1
% 186.46/30.83  | | 
% 186.46/30.83  | | REDUCE: (2), (9) imply:
% 186.46/30.83  | |   (10)   ~ (e1 = e0)
% 186.46/30.83  | | 
% 186.46/30.83  | | REDUCE: (1), (9) imply:
% 186.46/30.83  | |   (11)  op(e1, e1) = e1
% 186.46/30.83  | | 
% 186.46/30.83  | | REF_CLOSE: (4), (5), (10), (11) are inconsistent by sub-proof #1619.
% 186.46/30.83  | | 
% 186.46/30.83  | Case 2:
% 186.46/30.83  | | 
% 186.46/30.83  | |   (12)  all_54_10 = e0
% 186.46/30.83  | | 
% 186.46/30.83  | | REF_CLOSE: (2), (3), (12) are inconsistent by sub-proof #1618.
% 186.46/30.83  | | 
% 186.46/30.83  | End of split
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1618 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)  all_54_10 = all_14_2
% 186.46/30.83    (2)  all_54_10 = e0
% 186.46/30.83    (3)   ~ (all_14_2 = e0)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | COMBINE_EQS: (1), (2) imply:
% 186.46/30.83  |   (4)  all_14_2 = e0
% 186.46/30.83  | 
% 186.46/30.83  | SIMP: (4) implies:
% 186.46/30.83  |   (5)  all_14_2 = e0
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (3), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1619 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (2)  op(e1, e1) = e1
% 186.46/30.83    (3)  op(e1, e1) = e0
% 186.46/30.83    (4)   ~ (e1 = e0)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | GROUND_INST: instantiating (1) with e0, e1, e1, e1, simplifying with (2), (3)
% 186.46/30.83  |              gives:
% 186.46/30.83  |   (5)  e1 = e0
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (4), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1620 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)  all_54_10 = all_14_2
% 186.46/30.83    (2)  all_54_10 = e2
% 186.46/30.83    (3)   ~ (all_14_2 = e2)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | COMBINE_EQS: (1), (2) imply:
% 186.46/30.83  |   (4)  all_14_2 = e2
% 186.46/30.83  | 
% 186.46/30.83  | SIMP: (4) implies:
% 186.46/30.83  |   (5)  all_14_2 = e2
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (3), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1621 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)  all_54_10 = all_14_2
% 186.46/30.83    (2)  all_54_10 = e3
% 186.46/30.83    (3)   ~ (all_14_2 = e3)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | COMBINE_EQS: (1), (2) imply:
% 186.46/30.83  |   (4)  all_14_2 = e3
% 186.46/30.83  | 
% 186.46/30.83  | SIMP: (4) implies:
% 186.46/30.83  |   (5)  all_14_2 = e3
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (3), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1622 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ~ (all_4_2 = e0)
% 186.46/30.83    (2)   ~ (all_10_2 = e0)
% 186.46/30.83    (3)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (4)  op(e3, e3) = all_4_2
% 186.46/30.83    (5)  (all_57_28 = e0 & op(e3, e3) = e0) | (all_57_29 = e0 & op(e2, e2) = e0)
% 186.46/30.83    (6)  op(e2, e2) = all_10_2
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | BETA: splitting (5) gives:
% 186.46/30.83  | 
% 186.46/30.83  | Case 1:
% 186.46/30.83  | | 
% 186.46/30.83  | |   (7)  all_57_28 = e0 & op(e3, e3) = e0
% 186.46/30.83  | | 
% 186.46/30.83  | | ALPHA: (7) implies:
% 186.46/30.83  | |   (8)  op(e3, e3) = e0
% 186.46/30.83  | | 
% 186.46/30.83  | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #1624.
% 186.46/30.83  | | 
% 186.46/30.83  | Case 2:
% 186.46/30.83  | | 
% 186.46/30.83  | |   (9)  all_57_29 = e0 & op(e2, e2) = e0
% 186.46/30.83  | | 
% 186.46/30.83  | | ALPHA: (9) implies:
% 186.46/30.83  | |   (10)  op(e2, e2) = e0
% 186.46/30.83  | | 
% 186.46/30.83  | | REF_CLOSE: (2), (3), (6), (10) are inconsistent by sub-proof #1623.
% 186.46/30.83  | | 
% 186.46/30.83  | End of split
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1623 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (2)  op(e2, e2) = all_10_2
% 186.46/30.83    (3)  op(e2, e2) = e0
% 186.46/30.83    (4)   ~ (all_10_2 = e0)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | GROUND_INST: instantiating (1) with all_10_2, e0, e2, e2, simplifying with
% 186.46/30.83  |              (2), (3) gives:
% 186.46/30.83  |   (5)  all_10_2 = e0
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (4), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  
% 186.46/30.83  Sub-proof #1624 shows that the following formulas are inconsistent:
% 186.46/30.83  ----------------------------------------------------------------
% 186.46/30.83    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 186.46/30.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 186.46/30.83    (2)  op(e3, e3) = all_4_2
% 186.46/30.83    (3)  op(e3, e3) = e0
% 186.46/30.83    (4)   ~ (all_4_2 = e0)
% 186.46/30.83  
% 186.46/30.83  Begin of proof
% 186.46/30.83  | 
% 186.46/30.83  | GROUND_INST: instantiating (1) with all_4_2, e0, e3, e3, simplifying with (2),
% 186.46/30.83  |              (3) gives:
% 186.46/30.83  |   (5)  all_4_2 = e0
% 186.46/30.83  | 
% 186.46/30.83  | REDUCE: (4), (5) imply:
% 186.46/30.83  |   (6)  $false
% 186.46/30.83  | 
% 186.46/30.83  | CLOSE: (6) is inconsistent.
% 186.46/30.83  | 
% 186.46/30.83  End of proof
% 186.46/30.83  % SZS output end Proof for theBenchmark
% 186.46/30.83  
% 186.46/30.83  30218ms
%------------------------------------------------------------------------------